id
stringlengths 9
10
| submitter
stringlengths 1
64
⌀ | authors
stringlengths 4
23.3k
| title
stringlengths 1
294
| comments
stringlengths 1
658
⌀ | journal-ref
stringlengths 1
557
⌀ | doi
stringlengths 10
153
⌀ | report-no
stringlengths 2
479
⌀ | categories
stringlengths 5
102
| license
stringclasses 9
values | abstract
stringlengths 6
5.09k
| versions
list | update_date
stringlengths 10
10
| authors_parsed
list | embeddings
list | paper_title
stringlengths 4
229
⌀ | paper_url_abs
stringlengths 32
35
⌀ | paper_url_pdf
stringlengths 36
39
⌀ | repo_url
stringlengths 26
195
⌀ | is_official
bool 2
classes | mentioned_in_paper
bool 2
classes | pwc_url
stringlengths 40
81
⌀ | abs_enc
list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1401.6249
|
Yangjia Li
|
Yangjia Li and Mingsheng Ying
|
(Un)decidable Problems about Reachability of Quantum Systems
| null | null | null | null |
cs.LO quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the reachability problem of a quantum system modelled by a quantum
automaton. The reachable sets are chosen to be boolean combinations of (closed)
subspaces of the state space of the quantum system. Four different reachability
properties are considered: eventually reachable, globally reachable, ultimately
forever reachable, and infinitely often reachable. The main result of this
paper is that all of the four reachability properties are undecidable in
general; however, the last three become decidable if the reachable sets are
boolean combinations without negation.
|
[
{
"created": "Fri, 24 Jan 2014 03:47:29 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Li",
"Yangjia",
""
],
[
"Ying",
"Mingsheng",
""
]
] |
[
-0.047014299780130386,
-0.009950038976967335,
-0.09107246994972229,
0.02665293775498867,
-0.04783015325665474,
0.07153741270303726,
0.014972995966672897,
-0.08110108971595764,
-0.029703455045819283,
-0.03074732981622219,
-0.01567259058356285,
-0.02606048434972763,
-0.047830283641815186,
0.08661575615406036,
-0.05665963515639305,
-0.007619695272296667,
0.025555763393640518,
-0.08565591275691986,
-0.03230490908026695,
0.011464607901871204,
0.027924276888370514,
0.0507403165102005,
-0.03627235069870949,
-0.0001913726591737941,
-0.018378477543592453,
0.0005564814782701433,
-0.047642335295677185,
-0.06220443919301033,
0.017643680796027184,
-0.027400191873311996,
-0.05358666926622391,
-0.02704470045864582,
-0.036347463726997375,
-0.020630594342947006,
0.09104184061288834,
0.01941732130944729,
0.03021315485239029,
0.021789969876408577,
0.02157803438603878,
-0.037624385207891464,
0.020696550607681274,
0.013638094067573547,
-0.047577112913131714,
-0.034006766974925995,
-0.012434879317879677,
0.06184929236769676,
0.030048565939068794,
0.036441586911678314,
0.014004752971231937,
-0.08856306225061417,
-0.02297847531735897,
0.06976629793643951,
0.061299778521060944,
0.021545110270380974,
0.10004381090402603,
0.019412286579608917,
0.04010000824928284,
0.005748736206442118,
-0.13130652904510498,
-0.09480641782283783,
-0.06926193833351135,
0.0030933788511902094,
-0.04069278761744499,
-0.044301021844148636,
0.10038824379444122,
0.05622487515211105,
-0.10137785971164703,
0.009929376654326916,
0.014518124982714653,
0.09860371798276901,
-0.008382968604564667,
-0.04496224597096443,
0.014694917015731335,
0.05761401355266571,
0.012239019386470318,
-0.0009697298519313335,
0.011876063421368599,
0.021185271441936493,
0.03542150929570198,
0.06322194635868073,
-0.05771750956773758,
-0.13211452960968018,
-0.024638615548610687,
0.07488366216421127,
-0.021769894286990166,
0.051287200301885605,
-0.07120495289564133,
0.019166236743330956,
0.06973797082901001,
0.03293069452047348,
-0.04523058980703354,
-0.08484221249818802,
0.07962468266487122,
0.011136999353766441,
0.03673286363482475,
-0.068867526948452,
0.07110457122325897,
-0.008138930425047874,
0.03126060590147972,
-0.06424138695001602,
0.04300759360194206,
0.03084762766957283,
0.029956785961985588,
-0.04024798795580864,
0.03507525473833084,
0.08494214713573456,
-0.024143090471625328,
-0.02088358625769615,
0.01849455013871193,
-0.049285709857940674,
0.014134453609585762,
-0.05960829183459282,
0.065570168197155,
-0.018619554117321968,
-0.046154242008924484,
0.03496050834655762,
-0.020317938178777695,
0.02817363105714321,
-0.02529863640666008,
-0.05510103702545166,
0.036539509892463684,
-0.03179013729095459,
0.046417854726314545,
0.0009656646871007979,
0.01849847473204136,
-0.033742133527994156,
-0.019454684108495712,
2.7501950320494704e-33,
-0.02257867529988289,
0.017179109156131744,
-0.07796762138605118,
0.028108609840273857,
0.03478547930717468,
0.022350680083036423,
0.006550590507686138,
0.05473759397864342,
-0.027640540152788162,
-0.018247047439217567,
0.014678357169032097,
0.08831053972244263,
-0.018825938925147057,
0.02468721941113472,
0.13182629644870758,
0.03595369681715965,
0.05521667003631592,
-0.056873101741075516,
-0.02728690207004547,
-0.06277161836624146,
0.09714093804359436,
0.021266041323542595,
-0.08769016712903976,
-0.037283338606357574,
0.004378359764814377,
-0.08142417669296265,
0.04768902435898781,
0.0456259660422802,
-0.07649989426136017,
-0.034543003886938095,
-0.06865298002958298,
0.028630822896957397,
0.04602517932653427,
0.11424779146909714,
0.0015863722655922174,
0.058898817747831345,
-0.02404746040701866,
0.002957310527563095,
-0.014014573767781258,
-0.11095195263624191,
0.019304942339658737,
-0.025693558156490326,
0.014734105207026005,
-0.024763204157352448,
-0.02352403663098812,
-0.07473843544721603,
-0.03922819718718529,
-0.03582330420613289,
-0.042931485921144485,
-0.0017795292660593987,
0.07230360060930252,
-0.00019189875456504524,
-0.046794384717941284,
-0.05331308767199516,
0.04390204697847366,
-0.059316784143447876,
0.020094919949769974,
0.07903693616390228,
-0.016588551923632622,
0.05915359407663345,
-0.021982811391353607,
-0.02654748037457466,
0.04402055963873863,
-0.012762852013111115,
-0.019036369398236275,
0.043320201337337494,
-0.09158904105424881,
-0.08499139547348022,
0.07259639352560043,
0.0663631334900856,
-0.022470302879810333,
-0.011356961913406849,
0.031202059239149094,
0.03928989917039871,
0.045248981565237045,
-0.06128145754337311,
0.003513430478051305,
-0.0748729258775711,
0.017256328836083412,
-0.04716848209500313,
0.05919433385133743,
-0.020950697362422943,
-0.03140116482973099,
0.10219809412956238,
0.04178038612008095,
-0.06878204643726349,
-0.09826967120170593,
-0.05626579746603966,
-0.05082734301686287,
-0.03927341103553772,
-0.05364961549639702,
-0.045563288033008575,
0.08054892718791962,
0.052649762481451035,
-0.06037040054798126,
-4.4006115084650246e-33,
0.016562122851610184,
-0.016114482656121254,
-0.004232310224324465,
-0.010998241603374481,
-0.005020318552851677,
-0.03619428351521492,
-0.008659192360937595,
0.053601205348968506,
0.04544336721301079,
-0.02716703712940216,
-0.012964341789484024,
0.05819026753306389,
0.13620591163635254,
0.044921375811100006,
-0.049317073076963425,
0.021498844027519226,
0.06907398998737335,
-0.055618710815906525,
0.0018828357569873333,
0.0025243491400033236,
0.010709955357015133,
-0.02446177788078785,
0.0030963055323809385,
-0.03578334301710129,
0.03859243169426918,
0.11694356054067612,
-0.037276823073625565,
-0.016044892370700836,
-0.014341126196086407,
0.01843799091875553,
0.020992547273635864,
-0.07193249464035034,
-0.07600004225969315,
0.03192037716507912,
-0.004884949419647455,
-0.025603124871850014,
0.017518209293484688,
0.07531949132680893,
-0.05199074745178223,
-0.01961733028292656,
0.027715623378753662,
-0.013296638615429401,
0.010618224740028381,
0.04454541206359863,
0.09658714383840561,
0.022329183295369148,
-0.04236277937889099,
0.058389417827129364,
-0.049929216504096985,
-0.03154108673334122,
0.022458652034401894,
-0.023294365033507347,
0.11929693818092346,
0.07865190505981445,
-0.030919836834073067,
0.09183435887098312,
0.02719785086810589,
0.06695824861526489,
0.12181172519922256,
0.014427280984818935,
-0.010506022721529007,
-0.06462226063013077,
0.03502188250422478,
0.0711824893951416,
0.04771943390369415,
-0.06222683936357498,
-0.12573234736919403,
0.08975842595100403,
-0.013800257816910744,
-0.05030004307627678,
-0.0025936125312000513,
0.015555334277451038,
-0.002860879758372903,
-0.006826079450547695,
0.019083069637417793,
0.03342445194721222,
0.003826763015240431,
-0.028163375332951546,
0.05404989793896675,
-0.029351042583584785,
-0.09307612478733063,
0.011066737584769726,
-0.03216330334544182,
-0.023572200909256935,
-0.019416721537709236,
0.023499898612499237,
-0.03105015866458416,
-0.03273311257362366,
0.05382603406906128,
-0.03015507198870182,
0.04073714092373848,
0.041844818741083145,
0.0020517942029982805,
0.006439276039600372,
-0.013437652960419655,
-3.5696061218004616e-8,
-0.004177329130470753,
-0.0026931040920317173,
-0.037621643394231796,
-0.012048477306962013,
0.0437869094312191,
0.016469480469822884,
0.07449761778116226,
0.0072848256677389145,
0.031135322526097298,
-0.054180849343538284,
-0.023481745272874832,
0.037917524576187134,
-0.05853865668177605,
0.024670500308275223,
-0.10038302838802338,
0.030325457453727722,
-0.06926324218511581,
-0.04895855113863945,
-0.005768884439021349,
0.05597451701760292,
0.01001439057290554,
-0.04114141687750816,
-0.014085338450968266,
0.07854172587394714,
-0.09428059309720993,
-0.009682825766503811,
-0.033591657876968384,
-0.05710357800126076,
-0.030956069007515907,
0.09919393062591553,
0.021621327847242355,
0.046994101256132126,
0.12680880725383759,
0.1305399090051651,
-0.08121496438980103,
0.030319901183247566,
-0.09553653001785278,
-0.011839493177831173,
-0.04116299748420715,
-0.0034539445769041777,
0.017703093588352203,
0.03480943292379379,
-0.0734843984246254,
0.08181165158748627,
-0.030055807903409004,
-0.07633659243583679,
0.038264960050582886,
-0.03869360312819481,
0.018167495727539062,
0.06222328543663025,
-0.0010732774389907718,
0.00403984310105443,
-0.03001195192337036,
-0.10410085320472717,
-0.05110335350036621,
0.04983280599117279,
-0.004135000053793192,
-0.036869581788778305,
0.02164335362613201,
0.06236680969595909,
0.003973359242081642,
0.025228574872016907,
0.0741814449429512,
0.07442627102136612
] | null | null | null | null | null | null | null |
[
-0.047014299780130386,
-0.009950038976967335,
-0.09107246994972229,
0.02665293775498867,
-0.04783015325665474,
0.07153741270303726,
0.014972995966672897,
-0.08110108971595764,
-0.029703455045819283,
-0.03074732981622219,
-0.01567259058356285,
-0.02606048434972763,
-0.047830283641815186,
0.08661575615406036,
-0.05665963515639305,
-0.007619695272296667,
0.025555763393640518,
-0.08565591275691986,
-0.03230490908026695,
0.011464607901871204,
0.027924276888370514,
0.0507403165102005,
-0.03627235069870949,
-0.0001913726591737941,
-0.018378477543592453,
0.0005564814782701433,
-0.047642335295677185,
-0.06220443919301033,
0.017643680796027184,
-0.027400191873311996,
-0.05358666926622391,
-0.02704470045864582,
-0.036347463726997375,
-0.020630594342947006,
0.09104184061288834,
0.01941732130944729,
0.03021315485239029,
0.021789969876408577,
0.02157803438603878,
-0.037624385207891464,
0.020696550607681274,
0.013638094067573547,
-0.047577112913131714,
-0.034006766974925995,
-0.012434879317879677,
0.06184929236769676,
0.030048565939068794,
0.036441586911678314,
0.014004752971231937,
-0.08856306225061417,
-0.02297847531735897,
0.06976629793643951,
0.061299778521060944,
0.021545110270380974,
0.10004381090402603,
0.019412286579608917,
0.04010000824928284,
0.005748736206442118,
-0.13130652904510498,
-0.09480641782283783,
-0.06926193833351135,
0.0030933788511902094,
-0.04069278761744499,
-0.044301021844148636,
0.10038824379444122,
0.05622487515211105,
-0.10137785971164703,
0.009929376654326916,
0.014518124982714653,
0.09860371798276901,
-0.008382968604564667,
-0.04496224597096443,
0.014694917015731335,
0.05761401355266571,
0.012239019386470318,
-0.0009697298519313335,
0.011876063421368599,
0.021185271441936493,
0.03542150929570198,
0.06322194635868073,
-0.05771750956773758,
-0.13211452960968018,
-0.024638615548610687,
0.07488366216421127,
-0.021769894286990166,
0.051287200301885605,
-0.07120495289564133,
0.019166236743330956,
0.06973797082901001,
0.03293069452047348,
-0.04523058980703354,
-0.08484221249818802,
0.07962468266487122,
0.011136999353766441,
0.03673286363482475,
-0.068867526948452,
0.07110457122325897,
-0.008138930425047874,
0.03126060590147972,
-0.06424138695001602,
0.04300759360194206,
0.03084762766957283,
0.029956785961985588,
-0.04024798795580864,
0.03507525473833084,
0.08494214713573456,
-0.024143090471625328,
-0.02088358625769615,
0.01849455013871193,
-0.049285709857940674,
0.014134453609585762,
-0.05960829183459282,
0.065570168197155,
-0.018619554117321968,
-0.046154242008924484,
0.03496050834655762,
-0.020317938178777695,
0.02817363105714321,
-0.02529863640666008,
-0.05510103702545166,
0.036539509892463684,
-0.03179013729095459,
0.046417854726314545,
0.0009656646871007979,
0.01849847473204136,
-0.033742133527994156,
-0.019454684108495712,
2.7501950320494704e-33,
-0.02257867529988289,
0.017179109156131744,
-0.07796762138605118,
0.028108609840273857,
0.03478547930717468,
0.022350680083036423,
0.006550590507686138,
0.05473759397864342,
-0.027640540152788162,
-0.018247047439217567,
0.014678357169032097,
0.08831053972244263,
-0.018825938925147057,
0.02468721941113472,
0.13182629644870758,
0.03595369681715965,
0.05521667003631592,
-0.056873101741075516,
-0.02728690207004547,
-0.06277161836624146,
0.09714093804359436,
0.021266041323542595,
-0.08769016712903976,
-0.037283338606357574,
0.004378359764814377,
-0.08142417669296265,
0.04768902435898781,
0.0456259660422802,
-0.07649989426136017,
-0.034543003886938095,
-0.06865298002958298,
0.028630822896957397,
0.04602517932653427,
0.11424779146909714,
0.0015863722655922174,
0.058898817747831345,
-0.02404746040701866,
0.002957310527563095,
-0.014014573767781258,
-0.11095195263624191,
0.019304942339658737,
-0.025693558156490326,
0.014734105207026005,
-0.024763204157352448,
-0.02352403663098812,
-0.07473843544721603,
-0.03922819718718529,
-0.03582330420613289,
-0.042931485921144485,
-0.0017795292660593987,
0.07230360060930252,
-0.00019189875456504524,
-0.046794384717941284,
-0.05331308767199516,
0.04390204697847366,
-0.059316784143447876,
0.020094919949769974,
0.07903693616390228,
-0.016588551923632622,
0.05915359407663345,
-0.021982811391353607,
-0.02654748037457466,
0.04402055963873863,
-0.012762852013111115,
-0.019036369398236275,
0.043320201337337494,
-0.09158904105424881,
-0.08499139547348022,
0.07259639352560043,
0.0663631334900856,
-0.022470302879810333,
-0.011356961913406849,
0.031202059239149094,
0.03928989917039871,
0.045248981565237045,
-0.06128145754337311,
0.003513430478051305,
-0.0748729258775711,
0.017256328836083412,
-0.04716848209500313,
0.05919433385133743,
-0.020950697362422943,
-0.03140116482973099,
0.10219809412956238,
0.04178038612008095,
-0.06878204643726349,
-0.09826967120170593,
-0.05626579746603966,
-0.05082734301686287,
-0.03927341103553772,
-0.05364961549639702,
-0.045563288033008575,
0.08054892718791962,
0.052649762481451035,
-0.06037040054798126,
-4.4006115084650246e-33,
0.016562122851610184,
-0.016114482656121254,
-0.004232310224324465,
-0.010998241603374481,
-0.005020318552851677,
-0.03619428351521492,
-0.008659192360937595,
0.053601205348968506,
0.04544336721301079,
-0.02716703712940216,
-0.012964341789484024,
0.05819026753306389,
0.13620591163635254,
0.044921375811100006,
-0.049317073076963425,
0.021498844027519226,
0.06907398998737335,
-0.055618710815906525,
0.0018828357569873333,
0.0025243491400033236,
0.010709955357015133,
-0.02446177788078785,
0.0030963055323809385,
-0.03578334301710129,
0.03859243169426918,
0.11694356054067612,
-0.037276823073625565,
-0.016044892370700836,
-0.014341126196086407,
0.01843799091875553,
0.020992547273635864,
-0.07193249464035034,
-0.07600004225969315,
0.03192037716507912,
-0.004884949419647455,
-0.025603124871850014,
0.017518209293484688,
0.07531949132680893,
-0.05199074745178223,
-0.01961733028292656,
0.027715623378753662,
-0.013296638615429401,
0.010618224740028381,
0.04454541206359863,
0.09658714383840561,
0.022329183295369148,
-0.04236277937889099,
0.058389417827129364,
-0.049929216504096985,
-0.03154108673334122,
0.022458652034401894,
-0.023294365033507347,
0.11929693818092346,
0.07865190505981445,
-0.030919836834073067,
0.09183435887098312,
0.02719785086810589,
0.06695824861526489,
0.12181172519922256,
0.014427280984818935,
-0.010506022721529007,
-0.06462226063013077,
0.03502188250422478,
0.0711824893951416,
0.04771943390369415,
-0.06222683936357498,
-0.12573234736919403,
0.08975842595100403,
-0.013800257816910744,
-0.05030004307627678,
-0.0025936125312000513,
0.015555334277451038,
-0.002860879758372903,
-0.006826079450547695,
0.019083069637417793,
0.03342445194721222,
0.003826763015240431,
-0.028163375332951546,
0.05404989793896675,
-0.029351042583584785,
-0.09307612478733063,
0.011066737584769726,
-0.03216330334544182,
-0.023572200909256935,
-0.019416721537709236,
0.023499898612499237,
-0.03105015866458416,
-0.03273311257362366,
0.05382603406906128,
-0.03015507198870182,
0.04073714092373848,
0.041844818741083145,
0.0020517942029982805,
0.006439276039600372,
-0.013437652960419655,
-3.5696061218004616e-8,
-0.004177329130470753,
-0.0026931040920317173,
-0.037621643394231796,
-0.012048477306962013,
0.0437869094312191,
0.016469480469822884,
0.07449761778116226,
0.0072848256677389145,
0.031135322526097298,
-0.054180849343538284,
-0.023481745272874832,
0.037917524576187134,
-0.05853865668177605,
0.024670500308275223,
-0.10038302838802338,
0.030325457453727722,
-0.06926324218511581,
-0.04895855113863945,
-0.005768884439021349,
0.05597451701760292,
0.01001439057290554,
-0.04114141687750816,
-0.014085338450968266,
0.07854172587394714,
-0.09428059309720993,
-0.009682825766503811,
-0.033591657876968384,
-0.05710357800126076,
-0.030956069007515907,
0.09919393062591553,
0.021621327847242355,
0.046994101256132126,
0.12680880725383759,
0.1305399090051651,
-0.08121496438980103,
0.030319901183247566,
-0.09553653001785278,
-0.011839493177831173,
-0.04116299748420715,
-0.0034539445769041777,
0.017703093588352203,
0.03480943292379379,
-0.0734843984246254,
0.08181165158748627,
-0.030055807903409004,
-0.07633659243583679,
0.038264960050582886,
-0.03869360312819481,
0.018167495727539062,
0.06222328543663025,
-0.0010732774389907718,
0.00403984310105443,
-0.03001195192337036,
-0.10410085320472717,
-0.05110335350036621,
0.04983280599117279,
-0.004135000053793192,
-0.036869581788778305,
0.02164335362613201,
0.06236680969595909,
0.003973359242081642,
0.025228574872016907,
0.0741814449429512,
0.07442627102136612
] |
1401.6252
|
Masaaki Harada
|
Masaaki Harada
|
Note on the residue codes of self-dual $\mathbb{Z}_4$-codes having large
minimum Lee weights
|
18 pages
| null | null | null |
math.CO cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the residue code of a self-dual $\mathbb{Z}_4$-code of
length $24k$ (resp.\ $24k+8$) and minimum Lee weight $8k+4 \text{ or }8k+2$
(resp.\ $8k+8 \text{ or }8k+6$) is a binary extremal doubly even self-dual code
for every positive integer $k$. A number of new self-dual $\mathbb{Z}_4$-codes
of length $24$ and minimum Lee weight $10$ are constructed using the above
characterization. These codes are Type I $\mathbb{Z}_4$-codes having the
largest minimum Lee weight and the largest Euclidean weight among all Type I
$\mathbb{Z}_4$-codes of that length. In addition, new extremal Type II
$\mathbb{Z}_4$-codes of length $56$ are found.
|
[
{
"created": "Fri, 24 Jan 2014 03:48:41 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Mar 2014 02:55:22 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Mar 2015 10:20:26 GMT",
"version": "v3"
}
] |
2015-03-17
|
[
[
"Harada",
"Masaaki",
""
]
] |
[
-0.024807853624224663,
0.0733642578125,
-0.04604768753051758,
-0.02486184425652027,
-0.013367390260100365,
-0.04158846288919449,
0.002741855336353183,
0.09928113967180252,
-0.07083848118782043,
-0.019934121519327164,
0.012461206875741482,
0.0196085087954998,
0.044048212468624115,
-0.024485578760504723,
-0.04917703941464424,
0.055080339312553406,
-0.018942536786198616,
0.003207143396139145,
-0.08659659326076508,
0.028592286631464958,
0.03317033872008324,
-0.04250241816043854,
-0.025922248139977455,
0.017368610948324203,
0.035278208553791046,
-0.055363405495882034,
-0.04123656451702118,
0.0309930257499218,
0.10648653656244278,
-0.06415674835443497,
0.030051199719309807,
0.07671614736318588,
0.07546864449977875,
0.0728391781449318,
0.04970933124423027,
-0.0054182205349206924,
0.021488651633262634,
-0.001819080556742847,
0.004470703657716513,
0.022475233301520348,
-0.0053127845749258995,
0.08243022114038467,
0.035701680928468704,
-0.025438496842980385,
-0.03479963541030884,
0.05527070164680481,
0.034831803292036057,
0.0045431554317474365,
-0.056452490389347076,
-0.11509020626544952,
0.06143222376704216,
0.07401379197835922,
-0.03631014749407768,
0.07404713332653046,
-0.022408436983823776,
-0.14374348521232605,
-0.016670189797878265,
-0.07649442553520203,
0.0059899827465415,
0.08682426065206528,
0.09316148608922958,
0.051118455827236176,
0.022053400054574013,
-0.07017341256141663,
-0.015034493990242481,
0.085196353495121,
-0.004641353618353605,
-0.07967693358659744,
-0.0701657310128212,
-0.04163668304681778,
0.047985583543777466,
-0.022883640602231026,
-0.04930802434682846,
0.09777001291513443,
0.0722091794013977,
-0.005710942205041647,
0.036348361521959305,
-0.014715961180627346,
-0.03218255937099457,
-0.03543342649936676,
-0.0930543914437294,
-0.036950722336769104,
0.07483785599470139,
0.005352825857698917,
0.02462102472782135,
0.008876312524080276,
-0.07686955481767654,
0.06970355659723282,
0.04582976549863815,
0.08342326432466507,
0.04022546857595444,
0.02767038904130459,
-0.030473195016384125,
0.08204673230648041,
-0.006676261778920889,
-0.0025755935348570347,
0.0018127125222235918,
0.026252441108226776,
0.0535118393599987,
0.04563004523515701,
0.09205211699008942,
-0.016288576647639275,
-0.006451880559325218,
0.021440215408802032,
0.10778592526912689,
-0.0075372364372015,
0.11662237346172333,
0.029921168461441994,
-0.04809676855802536,
-0.04160425812005997,
0.0435551293194294,
-0.04008065536618233,
0.01710839942097664,
-0.08830004930496216,
-0.010793127119541168,
0.016250943765044212,
-0.04332412779331207,
0.08553589880466461,
-0.06048022210597992,
-0.01051473617553711,
-0.03788185492157936,
0.016592681407928467,
-0.01433594524860382,
-0.053899407386779785,
0.02273651584982872,
0.059672240167856216,
-0.11107970774173737,
1.5541486318709937e-33,
0.04023410752415657,
0.14185670018196106,
0.03309497609734535,
-0.03740624710917473,
-0.04200639948248863,
-0.028859900310635567,
0.013892333954572678,
-0.016701463609933853,
-0.041046030819416046,
0.025622449815273285,
0.013283941894769669,
-0.011414582841098309,
0.05456574261188507,
-0.0014315831940621138,
0.02570776268839836,
-0.008568789809942245,
0.0022052181884646416,
-0.07263468950986862,
0.05009923130273819,
-0.027583755552768707,
0.015257414430379868,
0.06653469800949097,
-0.04785978049039841,
0.004298974759876728,
0.07974191009998322,
0.07957937568426132,
0.02580149844288826,
-0.14682549238204956,
-0.009113933891057968,
0.04414995014667511,
-0.11556220054626465,
-0.02442012168467045,
-0.05500185862183571,
-0.010394291020929813,
0.06105178967118263,
-0.06208367273211479,
-0.07107868045568466,
0.024613915011286736,
-0.0452200248837471,
-0.03835885226726532,
0.04428254812955856,
0.029152359813451767,
-0.05970600247383118,
-0.0066607133485376835,
0.08202848583459854,
-0.05072228983044624,
0.027053210884332657,
0.06221883371472359,
-0.025909949094057083,
-0.035587433725595474,
-0.03070378489792347,
0.024828562512993813,
-0.04593473672866821,
-0.00032276855199597776,
-0.014679060317575932,
-0.019140493124723434,
-0.005391930229961872,
-0.013605434447526932,
0.09550873935222626,
0.09123383462429047,
0.034982167184352875,
0.003549919230863452,
-0.025555972009897232,
0.018051860854029655,
0.039275940507650375,
-0.017596572637557983,
0.004820639733225107,
-0.08849263191223145,
-0.00373671343550086,
0.030876673758029938,
-0.05423498898744583,
-0.019402775913476944,
0.050844572484493256,
-0.03235065937042236,
0.06563366204500198,
-0.0642019510269165,
0.04699166119098663,
-0.13870768249034882,
0.017507249489426613,
-0.025301868095993996,
-0.0128399059176445,
0.045201998203992844,
0.035208601504564285,
-0.008883857168257236,
-0.07233484089374542,
-0.04713013023138046,
0.024333976209163666,
-0.056372977793216705,
0.026812972500920296,
-0.02352181449532509,
-0.0023568246979266405,
-0.09415329247713089,
0.002788296900689602,
-0.0883793756365776,
-0.016085153445601463,
-1.5085977665991493e-33,
0.02159840241074562,
0.04943358153104782,
-0.05606206879019737,
-0.02796376869082451,
-0.012587050907313824,
-0.06849870085716248,
0.04880121722817421,
0.049742069095373154,
-0.044183023273944855,
0.017495132982730865,
0.08146481961011887,
-0.03675171732902527,
0.02986166812479496,
0.034546785056591034,
0.07986989617347717,
-0.024598989635705948,
-0.1051943376660347,
0.12445349991321564,
0.13060377538204193,
0.003594031324610114,
0.059264954179525375,
0.05719348415732384,
-0.04023023322224617,
0.04904034733772278,
0.0036615270655602217,
0.036643750965595245,
-0.0625649094581604,
0.036051616072654724,
0.019717814400792122,
-0.003752859076485038,
0.056181684136390686,
0.014974122866988182,
0.02992253191769123,
-0.0031715105287730694,
-0.0579385869204998,
-0.06917174160480499,
0.016642913222312927,
-0.03991533815860748,
-0.010292022489011288,
0.01597348041832447,
-0.03891725093126297,
-0.01740722358226776,
0.08380911499261856,
0.01957523636519909,
-0.02009171061217785,
-0.048131562769412994,
-0.016963886097073555,
0.045797690749168396,
0.02210134267807007,
-0.04595872387290001,
0.024330120533704758,
-0.01737663894891739,
-0.03764320909976959,
0.03938787430524826,
0.006679707206785679,
-0.07408314198255539,
-0.021978072822093964,
0.024929797276854515,
-0.00917873065918684,
0.02329789102077484,
-0.011646953411400318,
-0.12817275524139404,
0.09310189634561539,
-0.001295916154049337,
0.029060060158371925,
-0.07314334809780121,
0.013979877345263958,
-0.06969638168811798,
-0.07732255011796951,
-0.014997768215835094,
-0.025006065145134926,
-0.020549897104501724,
-0.058517344295978546,
-0.02549665793776512,
-0.027401380240917206,
0.03310815617442131,
0.0043011377565562725,
0.030477048829197884,
-0.040169354528188705,
0.013259978964924812,
-0.11055101454257965,
-0.03261483460664749,
0.07807941734790802,
0.018071873113512993,
0.01063915528357029,
-0.06359168887138367,
0.03061601147055626,
0.04803333804011345,
-0.01090503204613924,
-0.006099736783653498,
-0.04064108803868294,
0.01734309270977974,
0.09303168952465057,
0.05784101411700249,
0.026268290355801582,
-4.383389295981033e-8,
-0.040853820741176605,
-0.02034997195005417,
-0.07994776964187622,
0.007879549637436867,
0.029930727556347847,
-0.03953561931848526,
-0.043794937431812286,
-0.001071792095899582,
-0.010779647156596184,
-0.03260377421975136,
0.09701035916805267,
0.0302940271794796,
-0.021445805206894875,
-0.013501148670911789,
0.0751904770731926,
-0.030903862789273262,
-0.0541091114282608,
-0.1045197993516922,
0.006828255485743284,
0.009127496741712093,
0.02876221388578415,
-0.002817056607455015,
0.019547000527381897,
-0.04790268465876579,
-0.09705821424722672,
0.0160172488540411,
0.027108877897262573,
-0.011569978669285774,
0.0016427937662228942,
0.04814481362700462,
0.07818333804607391,
0.040160518139600754,
0.03185384348034859,
-0.08301117271184921,
-0.02639654278755188,
0.003982565365731716,
-0.10317187011241913,
-0.005924157798290253,
-0.02768787555396557,
0.015950700268149376,
0.0761185809969902,
-0.0532541424036026,
-0.10387381911277771,
-0.020207662135362625,
0.08474869281053543,
-0.08248010277748108,
-0.017026809975504875,
-0.03708710893988609,
-0.020127013325691223,
0.05183088034391403,
-0.049920301884412766,
0.03440025821328163,
-0.00643068365752697,
0.06545242667198181,
0.07710158079862595,
0.030479924753308296,
-0.038256026804447174,
0.0019302008440718055,
0.021350286900997162,
-0.008771480061113834,
0.0368272140622139,
-0.005831162910908461,
0.007225931156426668,
0.003821746213361621
] | null | null | null | null | null | null | null |
[
-0.024807853624224663,
0.0733642578125,
-0.04604768753051758,
-0.02486184425652027,
-0.013367390260100365,
-0.04158846288919449,
0.002741855336353183,
0.09928113967180252,
-0.07083848118782043,
-0.019934121519327164,
0.012461206875741482,
0.0196085087954998,
0.044048212468624115,
-0.024485578760504723,
-0.04917703941464424,
0.055080339312553406,
-0.018942536786198616,
0.003207143396139145,
-0.08659659326076508,
0.028592286631464958,
0.03317033872008324,
-0.04250241816043854,
-0.025922248139977455,
0.017368610948324203,
0.035278208553791046,
-0.055363405495882034,
-0.04123656451702118,
0.0309930257499218,
0.10648653656244278,
-0.06415674835443497,
0.030051199719309807,
0.07671614736318588,
0.07546864449977875,
0.0728391781449318,
0.04970933124423027,
-0.0054182205349206924,
0.021488651633262634,
-0.001819080556742847,
0.004470703657716513,
0.022475233301520348,
-0.0053127845749258995,
0.08243022114038467,
0.035701680928468704,
-0.025438496842980385,
-0.03479963541030884,
0.05527070164680481,
0.034831803292036057,
0.0045431554317474365,
-0.056452490389347076,
-0.11509020626544952,
0.06143222376704216,
0.07401379197835922,
-0.03631014749407768,
0.07404713332653046,
-0.022408436983823776,
-0.14374348521232605,
-0.016670189797878265,
-0.07649442553520203,
0.0059899827465415,
0.08682426065206528,
0.09316148608922958,
0.051118455827236176,
0.022053400054574013,
-0.07017341256141663,
-0.015034493990242481,
0.085196353495121,
-0.004641353618353605,
-0.07967693358659744,
-0.0701657310128212,
-0.04163668304681778,
0.047985583543777466,
-0.022883640602231026,
-0.04930802434682846,
0.09777001291513443,
0.0722091794013977,
-0.005710942205041647,
0.036348361521959305,
-0.014715961180627346,
-0.03218255937099457,
-0.03543342649936676,
-0.0930543914437294,
-0.036950722336769104,
0.07483785599470139,
0.005352825857698917,
0.02462102472782135,
0.008876312524080276,
-0.07686955481767654,
0.06970355659723282,
0.04582976549863815,
0.08342326432466507,
0.04022546857595444,
0.02767038904130459,
-0.030473195016384125,
0.08204673230648041,
-0.006676261778920889,
-0.0025755935348570347,
0.0018127125222235918,
0.026252441108226776,
0.0535118393599987,
0.04563004523515701,
0.09205211699008942,
-0.016288576647639275,
-0.006451880559325218,
0.021440215408802032,
0.10778592526912689,
-0.0075372364372015,
0.11662237346172333,
0.029921168461441994,
-0.04809676855802536,
-0.04160425812005997,
0.0435551293194294,
-0.04008065536618233,
0.01710839942097664,
-0.08830004930496216,
-0.010793127119541168,
0.016250943765044212,
-0.04332412779331207,
0.08553589880466461,
-0.06048022210597992,
-0.01051473617553711,
-0.03788185492157936,
0.016592681407928467,
-0.01433594524860382,
-0.053899407386779785,
0.02273651584982872,
0.059672240167856216,
-0.11107970774173737,
1.5541486318709937e-33,
0.04023410752415657,
0.14185670018196106,
0.03309497609734535,
-0.03740624710917473,
-0.04200639948248863,
-0.028859900310635567,
0.013892333954572678,
-0.016701463609933853,
-0.041046030819416046,
0.025622449815273285,
0.013283941894769669,
-0.011414582841098309,
0.05456574261188507,
-0.0014315831940621138,
0.02570776268839836,
-0.008568789809942245,
0.0022052181884646416,
-0.07263468950986862,
0.05009923130273819,
-0.027583755552768707,
0.015257414430379868,
0.06653469800949097,
-0.04785978049039841,
0.004298974759876728,
0.07974191009998322,
0.07957937568426132,
0.02580149844288826,
-0.14682549238204956,
-0.009113933891057968,
0.04414995014667511,
-0.11556220054626465,
-0.02442012168467045,
-0.05500185862183571,
-0.010394291020929813,
0.06105178967118263,
-0.06208367273211479,
-0.07107868045568466,
0.024613915011286736,
-0.0452200248837471,
-0.03835885226726532,
0.04428254812955856,
0.029152359813451767,
-0.05970600247383118,
-0.0066607133485376835,
0.08202848583459854,
-0.05072228983044624,
0.027053210884332657,
0.06221883371472359,
-0.025909949094057083,
-0.035587433725595474,
-0.03070378489792347,
0.024828562512993813,
-0.04593473672866821,
-0.00032276855199597776,
-0.014679060317575932,
-0.019140493124723434,
-0.005391930229961872,
-0.013605434447526932,
0.09550873935222626,
0.09123383462429047,
0.034982167184352875,
0.003549919230863452,
-0.025555972009897232,
0.018051860854029655,
0.039275940507650375,
-0.017596572637557983,
0.004820639733225107,
-0.08849263191223145,
-0.00373671343550086,
0.030876673758029938,
-0.05423498898744583,
-0.019402775913476944,
0.050844572484493256,
-0.03235065937042236,
0.06563366204500198,
-0.0642019510269165,
0.04699166119098663,
-0.13870768249034882,
0.017507249489426613,
-0.025301868095993996,
-0.0128399059176445,
0.045201998203992844,
0.035208601504564285,
-0.008883857168257236,
-0.07233484089374542,
-0.04713013023138046,
0.024333976209163666,
-0.056372977793216705,
0.026812972500920296,
-0.02352181449532509,
-0.0023568246979266405,
-0.09415329247713089,
0.002788296900689602,
-0.0883793756365776,
-0.016085153445601463,
-1.5085977665991493e-33,
0.02159840241074562,
0.04943358153104782,
-0.05606206879019737,
-0.02796376869082451,
-0.012587050907313824,
-0.06849870085716248,
0.04880121722817421,
0.049742069095373154,
-0.044183023273944855,
0.017495132982730865,
0.08146481961011887,
-0.03675171732902527,
0.02986166812479496,
0.034546785056591034,
0.07986989617347717,
-0.024598989635705948,
-0.1051943376660347,
0.12445349991321564,
0.13060377538204193,
0.003594031324610114,
0.059264954179525375,
0.05719348415732384,
-0.04023023322224617,
0.04904034733772278,
0.0036615270655602217,
0.036643750965595245,
-0.0625649094581604,
0.036051616072654724,
0.019717814400792122,
-0.003752859076485038,
0.056181684136390686,
0.014974122866988182,
0.02992253191769123,
-0.0031715105287730694,
-0.0579385869204998,
-0.06917174160480499,
0.016642913222312927,
-0.03991533815860748,
-0.010292022489011288,
0.01597348041832447,
-0.03891725093126297,
-0.01740722358226776,
0.08380911499261856,
0.01957523636519909,
-0.02009171061217785,
-0.048131562769412994,
-0.016963886097073555,
0.045797690749168396,
0.02210134267807007,
-0.04595872387290001,
0.024330120533704758,
-0.01737663894891739,
-0.03764320909976959,
0.03938787430524826,
0.006679707206785679,
-0.07408314198255539,
-0.021978072822093964,
0.024929797276854515,
-0.00917873065918684,
0.02329789102077484,
-0.011646953411400318,
-0.12817275524139404,
0.09310189634561539,
-0.001295916154049337,
0.029060060158371925,
-0.07314334809780121,
0.013979877345263958,
-0.06969638168811798,
-0.07732255011796951,
-0.014997768215835094,
-0.025006065145134926,
-0.020549897104501724,
-0.058517344295978546,
-0.02549665793776512,
-0.027401380240917206,
0.03310815617442131,
0.0043011377565562725,
0.030477048829197884,
-0.040169354528188705,
0.013259978964924812,
-0.11055101454257965,
-0.03261483460664749,
0.07807941734790802,
0.018071873113512993,
0.01063915528357029,
-0.06359168887138367,
0.03061601147055626,
0.04803333804011345,
-0.01090503204613924,
-0.006099736783653498,
-0.04064108803868294,
0.01734309270977974,
0.09303168952465057,
0.05784101411700249,
0.026268290355801582,
-4.383389295981033e-8,
-0.040853820741176605,
-0.02034997195005417,
-0.07994776964187622,
0.007879549637436867,
0.029930727556347847,
-0.03953561931848526,
-0.043794937431812286,
-0.001071792095899582,
-0.010779647156596184,
-0.03260377421975136,
0.09701035916805267,
0.0302940271794796,
-0.021445805206894875,
-0.013501148670911789,
0.0751904770731926,
-0.030903862789273262,
-0.0541091114282608,
-0.1045197993516922,
0.006828255485743284,
0.009127496741712093,
0.02876221388578415,
-0.002817056607455015,
0.019547000527381897,
-0.04790268465876579,
-0.09705821424722672,
0.0160172488540411,
0.027108877897262573,
-0.011569978669285774,
0.0016427937662228942,
0.04814481362700462,
0.07818333804607391,
0.040160518139600754,
0.03185384348034859,
-0.08301117271184921,
-0.02639654278755188,
0.003982565365731716,
-0.10317187011241913,
-0.005924157798290253,
-0.02768787555396557,
0.015950700268149376,
0.0761185809969902,
-0.0532541424036026,
-0.10387381911277771,
-0.020207662135362625,
0.08474869281053543,
-0.08248010277748108,
-0.017026809975504875,
-0.03708710893988609,
-0.020127013325691223,
0.05183088034391403,
-0.049920301884412766,
0.03440025821328163,
-0.00643068365752697,
0.06545242667198181,
0.07710158079862595,
0.030479924753308296,
-0.038256026804447174,
0.0019302008440718055,
0.021350286900997162,
-0.008771480061113834,
0.0368272140622139,
-0.005831162910908461,
0.007225931156426668,
0.003821746213361621
] |
1401.6253
|
Vladimir Salomatov
|
Vladimir Salomatov
|
Relativistic particle in the rest frame
| null | null | null | null |
physics.gen-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that for a specific choice of a particular solution of the
relativistic wave equation, it falls into the Helmholtz equation and the Klein
-Gordon equation. In this case, the squares of the rest masses of the particle
with the relativistic dispersion relation are determined by the Helmholtz
equation. It is suggested the possibility in principle of classification of the
mass spectrum and lifetimes of the particles according to the discrete
solutions of the Helmholtz equation in a particular model. In this case, it can
be assumed that the lifetime of a particle is determined by the ratio of
contributions to the wave function of the Bessel and collapsed Neumann
functions. An opportunity to compare real elementary particles rest masses and
especially lifetimes with the particles masses and lifetimes considered is
discussed.
|
[
{
"created": "Fri, 24 Jan 2014 03:52:17 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Salomatov",
"Vladimir",
""
]
] |
[
-0.051042310893535614,
-0.01663876511156559,
0.06979280710220337,
0.08873766660690308,
-0.034957580268383026,
0.04781291261315346,
-0.02958325482904911,
0.04883434996008873,
0.0075609562918543816,
-0.0171730425208807,
0.06833215057849884,
0.028288789093494415,
-0.10247007012367249,
-0.013388912193477154,
0.008787753991782665,
-0.04898735135793686,
0.0035434963647276163,
0.028234222903847694,
-0.051000937819480896,
0.044833291321992874,
-0.06802995502948761,
-0.024278223514556885,
-0.062359899282455444,
-0.023241573944687843,
0.03663066774606705,
0.03789474815130234,
0.050159454345703125,
-0.00712350569665432,
-0.024829842150211334,
0.06106940656900406,
0.10021248459815979,
0.002279911655932665,
-0.026656407862901688,
-0.004344793502241373,
0.018487263470888138,
0.08582685142755508,
0.04722600430250168,
0.008572350256145,
-0.0408736988902092,
-0.036830686032772064,
-0.018824808299541473,
0.022021273151040077,
-0.08188333362340927,
0.03722295165061951,
0.08322989195585251,
-0.10724453628063202,
-0.04439666494727135,
-0.049297939985990524,
0.054687950760126114,
0.060996297746896744,
0.031775519251823425,
0.02971773035824299,
-0.002555736806243658,
0.026163335889577866,
0.0629052072763443,
-0.017014360055327415,
-0.004036211408674717,
-0.038062453269958496,
0.013917823322117329,
-0.009382558055222034,
-0.09117230772972107,
-0.00007892795110819861,
0.008329109288752079,
-0.01033767033368349,
0.013883674517273903,
0.016659816727042198,
0.004463840276002884,
-0.03572985529899597,
0.010521613992750645,
0.08520615100860596,
-0.03034653142094612,
0.03644667565822601,
-0.09595627337694168,
-0.0001347436336800456,
0.010161247104406357,
-0.054245833307504654,
-0.019941361621022224,
-0.04521632567048073,
0.02463327907025814,
0.05417756736278534,
-0.01482071541249752,
-0.03719061240553856,
-0.13461127877235413,
-0.1067105159163475,
-0.03168562427163124,
0.08149740844964981,
-0.033548396080732346,
0.04738207161426544,
0.02618384175002575,
-0.06456980109214783,
-0.051651205867528915,
-0.08173544704914093,
0.033072736114263535,
-0.05219797417521477,
0.031033752486109734,
0.039370160549879074,
-0.035483188927173615,
0.02291337214410305,
0.0549028255045414,
0.005294270347803831,
0.006757139693945646,
-0.11345797777175903,
-0.009059193544089794,
0.06612884253263474,
-0.03610844910144806,
-0.04453512653708458,
-0.019752666354179382,
0.05350261181592941,
-0.0014931955374777317,
0.06916145980358124,
0.05224411562085152,
-0.07668042182922363,
-0.012442246079444885,
0.02728239633142948,
0.021983714774250984,
-0.031409405171871185,
0.042660344392061234,
0.02959209680557251,
0.019419660791754723,
-0.020811783149838448,
0.06928635388612747,
0.04782669246196747,
0.021202145144343376,
-0.02254038117825985,
0.016562465578317642,
0.01855451427400112,
0.04531284421682358,
-1.2858684949187001e-33,
0.005784736480563879,
-0.030291322618722916,
0.02385098487138748,
0.05253095179796219,
-0.03227638453245163,
-0.0028845902998000383,
0.0022439651656895876,
0.03452475741505623,
0.019991984590888023,
-0.05673389136791229,
-0.09294312447309494,
0.06836174428462982,
-0.023229021579027176,
-0.06986809521913528,
-0.06313761323690414,
0.045235004276037216,
-0.0362529531121254,
0.09101938456296921,
0.09711814671754837,
-0.07363821566104889,
-0.03971893712878227,
0.028909044340252876,
0.025831563398241997,
-0.04530826583504677,
0.01980302482843399,
0.016041556373238564,
-0.012428567744791508,
-0.01095551997423172,
-0.058595869690179825,
0.013806241564452648,
0.044201843440532684,
0.04594636708498001,
-0.040925342589616776,
0.019953757524490356,
0.04706966504454613,
-0.00552697479724884,
-0.06245540454983711,
0.06310980767011642,
-0.008101779036223888,
-0.08111927658319473,
-0.03875427320599556,
-0.04375629872083664,
-0.020604075863957405,
-0.02130749076604843,
-0.039193421602249146,
-0.05380392074584961,
0.07688889652490616,
-0.030223337933421135,
0.014751086011528969,
-0.02603767439723015,
0.05901498720049858,
-0.004877504892647266,
-0.06437784433364868,
0.07072104513645172,
-0.025930605828762054,
0.05500517040491104,
0.06351016461849213,
0.052619826048612595,
-0.03306080773472786,
-0.03852781653404236,
0.03804892301559448,
0.05564449355006218,
0.03698421269655228,
0.025412768125534058,
0.1279783844947815,
-0.007323699537664652,
-0.05398987978696823,
0.04578395560383797,
-0.06062254682183266,
0.07163041830062866,
0.06617841124534607,
0.06460344791412354,
-0.0017728632083162665,
-0.02105792984366417,
0.013760014437139034,
-0.03151804953813553,
0.015290450304746628,
0.0894249826669693,
-0.0471348874270916,
0.04649116471409798,
-0.009978174231946468,
-0.02026752196252346,
-0.07411422580480576,
0.022223904728889465,
0.02617705799639225,
0.0100475512444973,
0.013350366614758968,
-0.0637163296341896,
0.030393635854125023,
-0.04591604694724083,
0.016737883910536766,
0.01242831815034151,
0.010940358974039555,
-0.06479230523109436,
-0.044659584760665894,
-2.9821189654407538e-33,
-0.04653184115886688,
0.0958019569516182,
-0.031651757657527924,
0.06473792344331741,
-0.004583912901580334,
0.04251476004719734,
-0.05867750570178032,
0.09656829386949539,
-0.04141520336270332,
-0.03241993114352226,
0.0024780877865850925,
0.006743355188518763,
-0.04703251272439957,
-0.05866721272468567,
-0.023265153169631958,
0.021566634997725487,
0.012796555645763874,
0.022183971479535103,
-0.043030619621276855,
-0.08399879932403564,
-0.05370715633034706,
-0.03902474418282509,
0.051567934453487396,
-0.03417123481631279,
-0.03785761818289757,
-0.028748894110322,
0.04841878265142441,
-0.07644723355770111,
-0.027215326204895973,
0.005836559925228357,
0.03612932562828064,
-0.020770931616425514,
0.01359204389154911,
-0.018356667831540108,
0.04675392434000969,
0.027706565335392952,
0.03660636395215988,
0.031465597450733185,
0.03666827082633972,
0.022785354405641556,
-0.08250278979539871,
0.09644514322280884,
0.06391379237174988,
-0.05318458378314972,
0.012066282331943512,
-0.0028646299615502357,
0.10822207480669022,
0.00454317033290863,
0.008677385747432709,
-0.004774837754666805,
-0.028894999995827675,
-0.04096757620573044,
-0.00462686363607645,
0.017909573391079903,
-0.05924355983734131,
0.10437087714672089,
-0.019712666049599648,
-0.02646671235561371,
0.06726807355880737,
-0.036857422441244125,
-0.06126775965094566,
-0.10486305505037308,
0.11441532522439957,
0.07382135838270187,
-0.02389589138329029,
-0.051668889820575714,
-0.11788532882928848,
0.04498530551791191,
-0.08629447966814041,
-0.07395867258310318,
0.0422535315155983,
-0.11518153548240662,
0.011297973804175854,
0.031150709837675095,
-0.05024772509932518,
-0.047276318073272705,
0.07114855945110321,
-0.0061384099535644054,
0.06555566936731339,
-0.0017611016519367695,
0.05507058650255203,
-0.009211652912199497,
-0.025471098721027374,
-0.037284400314092636,
0.03757043927907944,
-0.09025131165981293,
-0.01386143546551466,
-0.03582174703478813,
0.02094101905822754,
-0.008857876993715763,
-0.024853810667991638,
0.00004195226574665867,
-0.017818624153733253,
0.015431876294314861,
0.07906823605298996,
-4.5549366944896974e-8,
0.09131359308958054,
0.016272615641355515,
-0.055155619978904724,
-0.02517862245440483,
0.06446962058544159,
-0.005231793969869614,
-0.03890208154916763,
0.03711703047156334,
-0.016240276396274567,
0.04855646193027496,
0.025324687361717224,
-0.014312275685369968,
-0.10024481266736984,
-0.045819126069545746,
-0.061684750020504,
0.04648568108677864,
-0.08462466299533844,
-0.053332023322582245,
0.005111144855618477,
0.02774258702993393,
0.0649067759513855,
-0.044773805886507034,
0.043200671672821045,
0.0038220747373998165,
-0.0511847548186779,
0.022399557754397392,
0.003301497781649232,
-0.04479261115193367,
-0.05185748636722565,
0.09669597446918488,
-0.08491446077823639,
0.05793937295675278,
-0.01784462109208107,
0.016075102612376213,
-0.07540471851825714,
-0.11282996833324432,
-0.052281998097896576,
0.07559089362621307,
-0.012408154085278511,
0.06834783405065536,
0.04397456720471382,
0.05570467561483383,
-0.05862860381603241,
0.02171178162097931,
0.07147399336099625,
0.12331262230873108,
-0.05198715999722481,
0.013670351356267929,
-0.08359590917825699,
0.09863656014204025,
-0.07980939000844955,
0.050630781799554825,
-0.02378353476524353,
-0.09474452584981918,
-0.0743224024772644,
0.004711067769676447,
-0.044779546558856964,
0.02874806337058544,
-0.0016514318995177746,
-0.11292748898267746,
0.03336939215660095,
0.10835591703653336,
0.076783686876297,
0.05749203637242317
] | null | null | null | null | null | null | null |
[
-0.051042310893535614,
-0.01663876511156559,
0.06979280710220337,
0.08873766660690308,
-0.034957580268383026,
0.04781291261315346,
-0.02958325482904911,
0.04883434996008873,
0.0075609562918543816,
-0.0171730425208807,
0.06833215057849884,
0.028288789093494415,
-0.10247007012367249,
-0.013388912193477154,
0.008787753991782665,
-0.04898735135793686,
0.0035434963647276163,
0.028234222903847694,
-0.051000937819480896,
0.044833291321992874,
-0.06802995502948761,
-0.024278223514556885,
-0.062359899282455444,
-0.023241573944687843,
0.03663066774606705,
0.03789474815130234,
0.050159454345703125,
-0.00712350569665432,
-0.024829842150211334,
0.06106940656900406,
0.10021248459815979,
0.002279911655932665,
-0.026656407862901688,
-0.004344793502241373,
0.018487263470888138,
0.08582685142755508,
0.04722600430250168,
0.008572350256145,
-0.0408736988902092,
-0.036830686032772064,
-0.018824808299541473,
0.022021273151040077,
-0.08188333362340927,
0.03722295165061951,
0.08322989195585251,
-0.10724453628063202,
-0.04439666494727135,
-0.049297939985990524,
0.054687950760126114,
0.060996297746896744,
0.031775519251823425,
0.02971773035824299,
-0.002555736806243658,
0.026163335889577866,
0.0629052072763443,
-0.017014360055327415,
-0.004036211408674717,
-0.038062453269958496,
0.013917823322117329,
-0.009382558055222034,
-0.09117230772972107,
-0.00007892795110819861,
0.008329109288752079,
-0.01033767033368349,
0.013883674517273903,
0.016659816727042198,
0.004463840276002884,
-0.03572985529899597,
0.010521613992750645,
0.08520615100860596,
-0.03034653142094612,
0.03644667565822601,
-0.09595627337694168,
-0.0001347436336800456,
0.010161247104406357,
-0.054245833307504654,
-0.019941361621022224,
-0.04521632567048073,
0.02463327907025814,
0.05417756736278534,
-0.01482071541249752,
-0.03719061240553856,
-0.13461127877235413,
-0.1067105159163475,
-0.03168562427163124,
0.08149740844964981,
-0.033548396080732346,
0.04738207161426544,
0.02618384175002575,
-0.06456980109214783,
-0.051651205867528915,
-0.08173544704914093,
0.033072736114263535,
-0.05219797417521477,
0.031033752486109734,
0.039370160549879074,
-0.035483188927173615,
0.02291337214410305,
0.0549028255045414,
0.005294270347803831,
0.006757139693945646,
-0.11345797777175903,
-0.009059193544089794,
0.06612884253263474,
-0.03610844910144806,
-0.04453512653708458,
-0.019752666354179382,
0.05350261181592941,
-0.0014931955374777317,
0.06916145980358124,
0.05224411562085152,
-0.07668042182922363,
-0.012442246079444885,
0.02728239633142948,
0.021983714774250984,
-0.031409405171871185,
0.042660344392061234,
0.02959209680557251,
0.019419660791754723,
-0.020811783149838448,
0.06928635388612747,
0.04782669246196747,
0.021202145144343376,
-0.02254038117825985,
0.016562465578317642,
0.01855451427400112,
0.04531284421682358,
-1.2858684949187001e-33,
0.005784736480563879,
-0.030291322618722916,
0.02385098487138748,
0.05253095179796219,
-0.03227638453245163,
-0.0028845902998000383,
0.0022439651656895876,
0.03452475741505623,
0.019991984590888023,
-0.05673389136791229,
-0.09294312447309494,
0.06836174428462982,
-0.023229021579027176,
-0.06986809521913528,
-0.06313761323690414,
0.045235004276037216,
-0.0362529531121254,
0.09101938456296921,
0.09711814671754837,
-0.07363821566104889,
-0.03971893712878227,
0.028909044340252876,
0.025831563398241997,
-0.04530826583504677,
0.01980302482843399,
0.016041556373238564,
-0.012428567744791508,
-0.01095551997423172,
-0.058595869690179825,
0.013806241564452648,
0.044201843440532684,
0.04594636708498001,
-0.040925342589616776,
0.019953757524490356,
0.04706966504454613,
-0.00552697479724884,
-0.06245540454983711,
0.06310980767011642,
-0.008101779036223888,
-0.08111927658319473,
-0.03875427320599556,
-0.04375629872083664,
-0.020604075863957405,
-0.02130749076604843,
-0.039193421602249146,
-0.05380392074584961,
0.07688889652490616,
-0.030223337933421135,
0.014751086011528969,
-0.02603767439723015,
0.05901498720049858,
-0.004877504892647266,
-0.06437784433364868,
0.07072104513645172,
-0.025930605828762054,
0.05500517040491104,
0.06351016461849213,
0.052619826048612595,
-0.03306080773472786,
-0.03852781653404236,
0.03804892301559448,
0.05564449355006218,
0.03698421269655228,
0.025412768125534058,
0.1279783844947815,
-0.007323699537664652,
-0.05398987978696823,
0.04578395560383797,
-0.06062254682183266,
0.07163041830062866,
0.06617841124534607,
0.06460344791412354,
-0.0017728632083162665,
-0.02105792984366417,
0.013760014437139034,
-0.03151804953813553,
0.015290450304746628,
0.0894249826669693,
-0.0471348874270916,
0.04649116471409798,
-0.009978174231946468,
-0.02026752196252346,
-0.07411422580480576,
0.022223904728889465,
0.02617705799639225,
0.0100475512444973,
0.013350366614758968,
-0.0637163296341896,
0.030393635854125023,
-0.04591604694724083,
0.016737883910536766,
0.01242831815034151,
0.010940358974039555,
-0.06479230523109436,
-0.044659584760665894,
-2.9821189654407538e-33,
-0.04653184115886688,
0.0958019569516182,
-0.031651757657527924,
0.06473792344331741,
-0.004583912901580334,
0.04251476004719734,
-0.05867750570178032,
0.09656829386949539,
-0.04141520336270332,
-0.03241993114352226,
0.0024780877865850925,
0.006743355188518763,
-0.04703251272439957,
-0.05866721272468567,
-0.023265153169631958,
0.021566634997725487,
0.012796555645763874,
0.022183971479535103,
-0.043030619621276855,
-0.08399879932403564,
-0.05370715633034706,
-0.03902474418282509,
0.051567934453487396,
-0.03417123481631279,
-0.03785761818289757,
-0.028748894110322,
0.04841878265142441,
-0.07644723355770111,
-0.027215326204895973,
0.005836559925228357,
0.03612932562828064,
-0.020770931616425514,
0.01359204389154911,
-0.018356667831540108,
0.04675392434000969,
0.027706565335392952,
0.03660636395215988,
0.031465597450733185,
0.03666827082633972,
0.022785354405641556,
-0.08250278979539871,
0.09644514322280884,
0.06391379237174988,
-0.05318458378314972,
0.012066282331943512,
-0.0028646299615502357,
0.10822207480669022,
0.00454317033290863,
0.008677385747432709,
-0.004774837754666805,
-0.028894999995827675,
-0.04096757620573044,
-0.00462686363607645,
0.017909573391079903,
-0.05924355983734131,
0.10437087714672089,
-0.019712666049599648,
-0.02646671235561371,
0.06726807355880737,
-0.036857422441244125,
-0.06126775965094566,
-0.10486305505037308,
0.11441532522439957,
0.07382135838270187,
-0.02389589138329029,
-0.051668889820575714,
-0.11788532882928848,
0.04498530551791191,
-0.08629447966814041,
-0.07395867258310318,
0.0422535315155983,
-0.11518153548240662,
0.011297973804175854,
0.031150709837675095,
-0.05024772509932518,
-0.047276318073272705,
0.07114855945110321,
-0.0061384099535644054,
0.06555566936731339,
-0.0017611016519367695,
0.05507058650255203,
-0.009211652912199497,
-0.025471098721027374,
-0.037284400314092636,
0.03757043927907944,
-0.09025131165981293,
-0.01386143546551466,
-0.03582174703478813,
0.02094101905822754,
-0.008857876993715763,
-0.024853810667991638,
0.00004195226574665867,
-0.017818624153733253,
0.015431876294314861,
0.07906823605298996,
-4.5549366944896974e-8,
0.09131359308958054,
0.016272615641355515,
-0.055155619978904724,
-0.02517862245440483,
0.06446962058544159,
-0.005231793969869614,
-0.03890208154916763,
0.03711703047156334,
-0.016240276396274567,
0.04855646193027496,
0.025324687361717224,
-0.014312275685369968,
-0.10024481266736984,
-0.045819126069545746,
-0.061684750020504,
0.04648568108677864,
-0.08462466299533844,
-0.053332023322582245,
0.005111144855618477,
0.02774258702993393,
0.0649067759513855,
-0.044773805886507034,
0.043200671672821045,
0.0038220747373998165,
-0.0511847548186779,
0.022399557754397392,
0.003301497781649232,
-0.04479261115193367,
-0.05185748636722565,
0.09669597446918488,
-0.08491446077823639,
0.05793937295675278,
-0.01784462109208107,
0.016075102612376213,
-0.07540471851825714,
-0.11282996833324432,
-0.052281998097896576,
0.07559089362621307,
-0.012408154085278511,
0.06834783405065536,
0.04397456720471382,
0.05570467561483383,
-0.05862860381603241,
0.02171178162097931,
0.07147399336099625,
0.12331262230873108,
-0.05198715999722481,
0.013670351356267929,
-0.08359590917825699,
0.09863656014204025,
-0.07980939000844955,
0.050630781799554825,
-0.02378353476524353,
-0.09474452584981918,
-0.0743224024772644,
0.004711067769676447,
-0.044779546558856964,
0.02874806337058544,
-0.0016514318995177746,
-0.11292748898267746,
0.03336939215660095,
0.10835591703653336,
0.076783686876297,
0.05749203637242317
] |
1401.6254
|
Masaaki Harada
|
Masaaki Harada
|
On a 5-design related to a putative extremal doubly even self-dual code
of length a multiple of 24
|
16 pages, Designs, Codes and Cryptogr. (to appear)
|
Designs, Codes and Cryptogr. 76 (2015), 373-384
| null | null |
math.CO cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By the Assmus and Mattson theorem, the codewords of each nontrivial weight in
an extremal doubly even self-dual code of length 24m form a self-orthogonal
5-design. In this paper, we study the codes constructed from self-orthogonal
5-designs with the same parameters as the above 5-designs. We give some
parameters of a self-orthogonal 5-design whose existence is equivalent to that
of an extremal doubly even self-dual code of length 24m for m=3,...,6. If $m
\in \{1,\ldots,6\}$, $k \in \{m+1,\ldots,5m-1\}$ and $(m,k) \ne (6,18)$, then
it is shown that an extremal doubly even self-dual code of length 24m is
generated by codewords of weight 4k.
|
[
{
"created": "Fri, 24 Jan 2014 03:54:09 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Mar 2014 08:46:02 GMT",
"version": "v2"
}
] |
2015-09-18
|
[
[
"Harada",
"Masaaki",
""
]
] |
[
-0.06308480352163315,
0.03452358767390251,
-0.03313184157013893,
-0.07031501084566116,
-0.10184130817651749,
-0.00860027689486742,
-0.01444767601788044,
0.050316788256168365,
-0.046050459146499634,
0.018596231937408447,
0.009493479505181313,
0.029060762375593185,
-0.014743227511644363,
-0.0642387717962265,
-0.03504921868443489,
0.05707070976495743,
-0.0033116911072283983,
0.02119279094040394,
-0.05708350986242294,
0.006164167542010546,
0.03546668961644173,
-0.05751802772283554,
-0.029665062204003334,
0.007367404643446207,
0.05828510597348213,
0.0008043146808631718,
-0.006167571526020765,
0.05597652122378349,
0.07728805392980576,
-0.039079826325178146,
0.07196825742721558,
0.08399545401334763,
-0.0005893170018680394,
0.03577577322721481,
-0.004351594019681215,
-0.01844087801873684,
-0.021108396351337433,
0.001955273561179638,
-0.002783994423225522,
0.018834281712770462,
-0.023997195065021515,
0.021979203447699547,
-0.03306645154953003,
-0.01253779698163271,
-0.05277275666594505,
-0.011379148811101913,
-0.05256563425064087,
0.027724307030439377,
-0.032394591718912125,
-0.08388015627861023,
0.015443868935108185,
0.08501194417476654,
-0.0774540975689888,
-0.030884651467204094,
-0.00040500523755326867,
-0.11699433624744415,
0.0006695526535622776,
-0.042014230042696,
-0.006780822761356831,
0.02687276527285576,
0.10272732377052307,
0.030725011602044106,
-0.0629335567355156,
0.015819644555449486,
-0.030214471742510796,
0.04703681170940399,
0.019166838377714157,
0.012712236493825912,
-0.05372845381498337,
0.017081424593925476,
0.005244571249932051,
-0.0775299146771431,
0.007617651019245386,
0.03314661979675293,
0.08068327605724335,
-0.004971956368535757,
0.03156239166855812,
-0.012431112118065357,
0.048675186932086945,
-0.009034517221152782,
-0.05491071939468384,
0.011457784101366997,
0.0002506649761926383,
-0.0009554713615216315,
0.0273938849568367,
0.027267711237072945,
-0.06197621673345566,
0.10135311633348465,
0.07675150036811829,
0.016044165939092636,
0.014499813318252563,
-0.038503993302583694,
-0.07155730575323105,
0.05051520839333534,
-0.04611640423536301,
-0.03545502573251724,
-0.016123421490192413,
-0.006578551139682531,
0.034628789871931076,
0.019803965464234352,
0.04480098932981491,
-0.06612654030323029,
0.02899562567472458,
0.07457176595926285,
0.07136113941669464,
0.026089496910572052,
0.029145948588848114,
-0.006862259935587645,
0.055621594190597534,
-0.07958904653787613,
0.006269092205911875,
-0.039767075330019,
-0.033233463764190674,
-0.0026019534561783075,
0.003803027793765068,
-0.0021762836258858442,
-0.028305597603321075,
0.06656423956155777,
0.05008060485124588,
-0.012021622620522976,
-0.045463886111974716,
-0.0584058053791523,
0.004488152451813221,
0.027864890173077583,
-0.040514878928661346,
-0.025085726752877235,
-0.08851387351751328,
1.0985145089059235e-34,
0.00921676680445671,
0.11115220189094543,
0.06427707523107529,
-0.04282486438751221,
-0.014203035272657871,
-0.06793836504220963,
0.05806411802768707,
-0.012531356886029243,
-0.002084703417494893,
0.044714152812957764,
0.0795549601316452,
-0.05771370232105255,
0.08879505842924118,
0.06591663509607315,
0.05021744221448898,
0.052617184817790985,
0.011177069507539272,
-0.05090826004743576,
0.07525333762168884,
-0.10712887346744537,
0.03879851475358009,
0.07334525883197784,
-0.010957044549286366,
-0.05945742502808571,
0.0159459188580513,
0.029709840193390846,
0.035252396017313004,
-0.09445322304964066,
-0.07860458642244339,
0.05669894814491272,
-0.12825345993041992,
-0.03209085762500763,
0.03028831072151661,
0.04537135735154152,
0.022319449111819267,
-0.023995809257030487,
-0.03813162446022034,
0.01798425428569317,
-0.015897363424301147,
-0.015561171807348728,
0.017655102536082268,
-0.006983682047575712,
0.01240934431552887,
-0.029159843921661377,
0.048633772879838943,
-0.06224455684423447,
0.01373971812427044,
0.06341280788183212,
-0.04222483932971954,
-0.0060475352220237255,
-0.0601542703807354,
0.058910440653562546,
-0.03511131554841995,
-0.019443582743406296,
0.05716646462678909,
0.020000260323286057,
0.005279510747641325,
0.061965733766555786,
0.07599110901355743,
0.14672929048538208,
-0.02238297276198864,
-0.017475007101893425,
0.010179786011576653,
-0.015925101935863495,
0.017409779131412506,
0.017538132146000862,
0.028566999360919,
-0.12765513360500336,
0.07205905020236969,
0.030442681163549423,
-0.07852501422166824,
0.03141280636191368,
0.017349889501929283,
-0.07708387821912766,
0.06078708544373512,
-0.028771450743079185,
0.1234244853258133,
-0.10464917868375778,
-0.07832787185907364,
0.023432275280356407,
0.025970041751861572,
0.08943557739257812,
0.016400953754782677,
-0.030155960470438004,
-0.05273828282952309,
0.0372748002409935,
0.03954319283366203,
-0.07815641164779663,
-0.02327512763440609,
0.03564373031258583,
0.020832771435379982,
-0.14912649989128113,
-0.04165929555892944,
-0.08266355842351913,
-0.020345672965049744,
-1.323743382079675e-33,
0.015223420225083828,
-0.00802682712674141,
-0.08157414197921753,
-0.031865183264017105,
0.03470297530293465,
-0.07208608090877533,
0.04327164217829704,
0.08020441979169846,
-0.059199441224336624,
0.09154272079467773,
0.033582329750061035,
-0.003967511933296919,
0.041190218180418015,
0.06607771664857864,
0.1021779254078865,
0.02927001565694809,
0.0013534154277294874,
0.054734889417886734,
0.054316166788339615,
-0.021469054743647575,
0.09521348774433136,
0.10914338380098343,
-0.020467761904001236,
0.04214853420853615,
0.04228919371962547,
0.03307851403951645,
-0.10080746561288834,
0.011897340416908264,
0.0012014743406325579,
0.013565728440880775,
0.07937085628509521,
-0.025742409750819206,
0.01243062224239111,
0.0006125548970885575,
0.02243494801223278,
-0.056695606559515,
-0.012830989435315132,
0.03158353269100189,
-0.04194270819425583,
0.018129562959074974,
-0.08730538934469223,
0.01467752642929554,
0.12123385816812515,
0.04073512181639671,
-0.019256368279457092,
-0.07754237204790115,
-0.06564327329397202,
-0.0030408913735300303,
-0.02260586991906166,
-0.03359140083193779,
-0.008276654407382011,
-0.030042648315429688,
-0.012672257609665394,
0.04935873672366142,
-0.053982485085725784,
-0.08334209769964218,
0.010544490069150925,
0.030029719695448875,
0.05557882785797119,
0.01922133006155491,
0.03082326427102089,
-0.13175885379314423,
0.06159261241555214,
-0.036393456161022186,
0.0882779061794281,
-0.06852862238883972,
-0.018040692433714867,
-0.04127898067235947,
-0.07776881009340286,
0.013035413809120655,
-0.07536185532808304,
-0.012789632193744183,
-0.06630542874336243,
-0.04227456822991371,
-0.05660976096987724,
0.01990661770105362,
0.021341335028409958,
-0.004555265884846449,
-0.03265255317091942,
0.07174083590507507,
-0.0813203752040863,
-0.018578791990876198,
0.01229291781783104,
0.028210589662194252,
-0.013528580777347088,
-0.07661308348178864,
0.04179506376385689,
0.08791924268007278,
0.00003409005148569122,
-0.01763468235731125,
0.06265635788440704,
0.015972262248396873,
0.056477274745702744,
0.01763877086341381,
0.049142591655254364,
-4.129926978180265e-8,
-0.06617105007171631,
-0.07610213756561279,
-0.055115118622779846,
0.0822923332452774,
0.027673881500959396,
-0.05173889175057411,
0.01007048785686493,
-0.0020043612457811832,
-0.00028801627922803164,
-0.023500360548496246,
0.10062259435653687,
0.02802238240838051,
-0.020621124655008316,
0.0461694560945034,
-0.044829774647951126,
-0.05717248097062111,
-0.09401462227106094,
-0.05097274109721184,
0.008778555318713188,
-0.05695227161049843,
-0.015590786933898926,
0.015039275400340557,
0.006542411167174578,
-0.009181571193039417,
-0.055915988981723785,
0.031108155846595764,
0.029483230784535408,
-0.08398861438035965,
0.06668327003717422,
0.08625896275043488,
0.010225152596831322,
0.02745269052684307,
0.038034047931432724,
-0.05258613079786301,
-0.06687907129526138,
0.023674914613366127,
-0.03548385575413704,
0.04356633126735687,
-0.04579537734389305,
0.033983439207077026,
0.064036063849926,
-0.023816552013158798,
-0.0867152214050293,
0.032438572496175766,
0.10621655732393265,
-0.03204021230340004,
-0.00014323827053885907,
-0.08553095906972885,
0.008485043421387672,
0.006997070740908384,
-0.07676175981760025,
0.03499887138605118,
-0.03890903294086456,
-0.026407651603221893,
0.04771304875612259,
-0.02870790846645832,
-0.06393663585186005,
-0.012195466086268425,
0.06440302729606628,
-0.008166607469320297,
0.006263961549848318,
0.07039330899715424,
0.023126015439629555,
0.027509642764925957
] | null | null | null | null | null | null | null |
[
-0.06308480352163315,
0.03452358767390251,
-0.03313184157013893,
-0.07031501084566116,
-0.10184130817651749,
-0.00860027689486742,
-0.01444767601788044,
0.050316788256168365,
-0.046050459146499634,
0.018596231937408447,
0.009493479505181313,
0.029060762375593185,
-0.014743227511644363,
-0.0642387717962265,
-0.03504921868443489,
0.05707070976495743,
-0.0033116911072283983,
0.02119279094040394,
-0.05708350986242294,
0.006164167542010546,
0.03546668961644173,
-0.05751802772283554,
-0.029665062204003334,
0.007367404643446207,
0.05828510597348213,
0.0008043146808631718,
-0.006167571526020765,
0.05597652122378349,
0.07728805392980576,
-0.039079826325178146,
0.07196825742721558,
0.08399545401334763,
-0.0005893170018680394,
0.03577577322721481,
-0.004351594019681215,
-0.01844087801873684,
-0.021108396351337433,
0.001955273561179638,
-0.002783994423225522,
0.018834281712770462,
-0.023997195065021515,
0.021979203447699547,
-0.03306645154953003,
-0.01253779698163271,
-0.05277275666594505,
-0.011379148811101913,
-0.05256563425064087,
0.027724307030439377,
-0.032394591718912125,
-0.08388015627861023,
0.015443868935108185,
0.08501194417476654,
-0.0774540975689888,
-0.030884651467204094,
-0.00040500523755326867,
-0.11699433624744415,
0.0006695526535622776,
-0.042014230042696,
-0.006780822761356831,
0.02687276527285576,
0.10272732377052307,
0.030725011602044106,
-0.0629335567355156,
0.015819644555449486,
-0.030214471742510796,
0.04703681170940399,
0.019166838377714157,
0.012712236493825912,
-0.05372845381498337,
0.017081424593925476,
0.005244571249932051,
-0.0775299146771431,
0.007617651019245386,
0.03314661979675293,
0.08068327605724335,
-0.004971956368535757,
0.03156239166855812,
-0.012431112118065357,
0.048675186932086945,
-0.009034517221152782,
-0.05491071939468384,
0.011457784101366997,
0.0002506649761926383,
-0.0009554713615216315,
0.0273938849568367,
0.027267711237072945,
-0.06197621673345566,
0.10135311633348465,
0.07675150036811829,
0.016044165939092636,
0.014499813318252563,
-0.038503993302583694,
-0.07155730575323105,
0.05051520839333534,
-0.04611640423536301,
-0.03545502573251724,
-0.016123421490192413,
-0.006578551139682531,
0.034628789871931076,
0.019803965464234352,
0.04480098932981491,
-0.06612654030323029,
0.02899562567472458,
0.07457176595926285,
0.07136113941669464,
0.026089496910572052,
0.029145948588848114,
-0.006862259935587645,
0.055621594190597534,
-0.07958904653787613,
0.006269092205911875,
-0.039767075330019,
-0.033233463764190674,
-0.0026019534561783075,
0.003803027793765068,
-0.0021762836258858442,
-0.028305597603321075,
0.06656423956155777,
0.05008060485124588,
-0.012021622620522976,
-0.045463886111974716,
-0.0584058053791523,
0.004488152451813221,
0.027864890173077583,
-0.040514878928661346,
-0.025085726752877235,
-0.08851387351751328,
1.0985145089059235e-34,
0.00921676680445671,
0.11115220189094543,
0.06427707523107529,
-0.04282486438751221,
-0.014203035272657871,
-0.06793836504220963,
0.05806411802768707,
-0.012531356886029243,
-0.002084703417494893,
0.044714152812957764,
0.0795549601316452,
-0.05771370232105255,
0.08879505842924118,
0.06591663509607315,
0.05021744221448898,
0.052617184817790985,
0.011177069507539272,
-0.05090826004743576,
0.07525333762168884,
-0.10712887346744537,
0.03879851475358009,
0.07334525883197784,
-0.010957044549286366,
-0.05945742502808571,
0.0159459188580513,
0.029709840193390846,
0.035252396017313004,
-0.09445322304964066,
-0.07860458642244339,
0.05669894814491272,
-0.12825345993041992,
-0.03209085762500763,
0.03028831072151661,
0.04537135735154152,
0.022319449111819267,
-0.023995809257030487,
-0.03813162446022034,
0.01798425428569317,
-0.015897363424301147,
-0.015561171807348728,
0.017655102536082268,
-0.006983682047575712,
0.01240934431552887,
-0.029159843921661377,
0.048633772879838943,
-0.06224455684423447,
0.01373971812427044,
0.06341280788183212,
-0.04222483932971954,
-0.0060475352220237255,
-0.0601542703807354,
0.058910440653562546,
-0.03511131554841995,
-0.019443582743406296,
0.05716646462678909,
0.020000260323286057,
0.005279510747641325,
0.061965733766555786,
0.07599110901355743,
0.14672929048538208,
-0.02238297276198864,
-0.017475007101893425,
0.010179786011576653,
-0.015925101935863495,
0.017409779131412506,
0.017538132146000862,
0.028566999360919,
-0.12765513360500336,
0.07205905020236969,
0.030442681163549423,
-0.07852501422166824,
0.03141280636191368,
0.017349889501929283,
-0.07708387821912766,
0.06078708544373512,
-0.028771450743079185,
0.1234244853258133,
-0.10464917868375778,
-0.07832787185907364,
0.023432275280356407,
0.025970041751861572,
0.08943557739257812,
0.016400953754782677,
-0.030155960470438004,
-0.05273828282952309,
0.0372748002409935,
0.03954319283366203,
-0.07815641164779663,
-0.02327512763440609,
0.03564373031258583,
0.020832771435379982,
-0.14912649989128113,
-0.04165929555892944,
-0.08266355842351913,
-0.020345672965049744,
-1.323743382079675e-33,
0.015223420225083828,
-0.00802682712674141,
-0.08157414197921753,
-0.031865183264017105,
0.03470297530293465,
-0.07208608090877533,
0.04327164217829704,
0.08020441979169846,
-0.059199441224336624,
0.09154272079467773,
0.033582329750061035,
-0.003967511933296919,
0.041190218180418015,
0.06607771664857864,
0.1021779254078865,
0.02927001565694809,
0.0013534154277294874,
0.054734889417886734,
0.054316166788339615,
-0.021469054743647575,
0.09521348774433136,
0.10914338380098343,
-0.020467761904001236,
0.04214853420853615,
0.04228919371962547,
0.03307851403951645,
-0.10080746561288834,
0.011897340416908264,
0.0012014743406325579,
0.013565728440880775,
0.07937085628509521,
-0.025742409750819206,
0.01243062224239111,
0.0006125548970885575,
0.02243494801223278,
-0.056695606559515,
-0.012830989435315132,
0.03158353269100189,
-0.04194270819425583,
0.018129562959074974,
-0.08730538934469223,
0.01467752642929554,
0.12123385816812515,
0.04073512181639671,
-0.019256368279457092,
-0.07754237204790115,
-0.06564327329397202,
-0.0030408913735300303,
-0.02260586991906166,
-0.03359140083193779,
-0.008276654407382011,
-0.030042648315429688,
-0.012672257609665394,
0.04935873672366142,
-0.053982485085725784,
-0.08334209769964218,
0.010544490069150925,
0.030029719695448875,
0.05557882785797119,
0.01922133006155491,
0.03082326427102089,
-0.13175885379314423,
0.06159261241555214,
-0.036393456161022186,
0.0882779061794281,
-0.06852862238883972,
-0.018040692433714867,
-0.04127898067235947,
-0.07776881009340286,
0.013035413809120655,
-0.07536185532808304,
-0.012789632193744183,
-0.06630542874336243,
-0.04227456822991371,
-0.05660976096987724,
0.01990661770105362,
0.021341335028409958,
-0.004555265884846449,
-0.03265255317091942,
0.07174083590507507,
-0.0813203752040863,
-0.018578791990876198,
0.01229291781783104,
0.028210589662194252,
-0.013528580777347088,
-0.07661308348178864,
0.04179506376385689,
0.08791924268007278,
0.00003409005148569122,
-0.01763468235731125,
0.06265635788440704,
0.015972262248396873,
0.056477274745702744,
0.01763877086341381,
0.049142591655254364,
-4.129926978180265e-8,
-0.06617105007171631,
-0.07610213756561279,
-0.055115118622779846,
0.0822923332452774,
0.027673881500959396,
-0.05173889175057411,
0.01007048785686493,
-0.0020043612457811832,
-0.00028801627922803164,
-0.023500360548496246,
0.10062259435653687,
0.02802238240838051,
-0.020621124655008316,
0.0461694560945034,
-0.044829774647951126,
-0.05717248097062111,
-0.09401462227106094,
-0.05097274109721184,
0.008778555318713188,
-0.05695227161049843,
-0.015590786933898926,
0.015039275400340557,
0.006542411167174578,
-0.009181571193039417,
-0.055915988981723785,
0.031108155846595764,
0.029483230784535408,
-0.08398861438035965,
0.06668327003717422,
0.08625896275043488,
0.010225152596831322,
0.02745269052684307,
0.038034047931432724,
-0.05258613079786301,
-0.06687907129526138,
0.023674914613366127,
-0.03548385575413704,
0.04356633126735687,
-0.04579537734389305,
0.033983439207077026,
0.064036063849926,
-0.023816552013158798,
-0.0867152214050293,
0.032438572496175766,
0.10621655732393265,
-0.03204021230340004,
-0.00014323827053885907,
-0.08553095906972885,
0.008485043421387672,
0.006997070740908384,
-0.07676175981760025,
0.03499887138605118,
-0.03890903294086456,
-0.026407651603221893,
0.04771304875612259,
-0.02870790846645832,
-0.06393663585186005,
-0.012195466086268425,
0.06440302729606628,
-0.008166607469320297,
0.006263961549848318,
0.07039330899715424,
0.023126015439629555,
0.027509642764925957
] |
1401.6258
|
Yinfei Xu Mr.
|
Yinfei Xu and Qiao Wang
|
Rate Region of the Vector Gaussian CEO Problem with the Trace Distortion
Constraint
|
12 pages, 1 figures, a shorter version is submitted for publication
in IEEE International Symposium on Information Theory (ISIT), 2014
| null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish a new extremal inequality, which is further leveraged to give a
complete characterization of the rate region of the vector Gaussian CEO problem
with the trace distortion constraint. The proof of this extremal inequality
hinges on a careful analysis of the Karush-Kuhn-Tucker necessary conditions for
the non-convex optimization problem associated with the Berger-Tung scheme,
which enables us to integrate the perturbation argument by Wang and Chen with
the distortion projection method by Rahman and Wagner.
|
[
{
"created": "Fri, 24 Jan 2014 04:44:38 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jan 2014 09:55:57 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Feb 2014 02:28:10 GMT",
"version": "v3"
},
{
"created": "Wed, 19 Feb 2014 08:23:45 GMT",
"version": "v4"
},
{
"created": "Thu, 20 Feb 2014 11:37:52 GMT",
"version": "v5"
}
] |
2014-02-21
|
[
[
"Xu",
"Yinfei",
""
],
[
"Wang",
"Qiao",
""
]
] |
[
-0.017255539074540138,
-0.007801096886396408,
0.034428294748067856,
-0.026235049590468407,
0.0520331971347332,
0.0035791911650449038,
0.07965005189180374,
0.029287362471222878,
0.007481555454432964,
0.00015344348503276706,
0.02115417830646038,
0.0522257424890995,
0.07084827125072479,
-0.0699823796749115,
-0.06733503937721252,
0.0730867013335228,
0.07234074920415878,
0.026618098840117455,
-0.000312869087792933,
-0.008562359027564526,
0.029074234887957573,
-0.05134892463684082,
-0.020582249388098717,
-0.01021774485707283,
0.08959361165761948,
-0.13870275020599365,
0.05364742502570152,
0.046718720346689224,
-0.013222327455878258,
0.0413038432598114,
-0.020261086523532867,
-0.07706397771835327,
0.029298044741153717,
0.01638142392039299,
-0.02919427864253521,
0.009305804967880249,
-0.0050519779324531555,
0.03891192376613617,
0.043536026030778885,
-0.021711736917495728,
0.07446462661027908,
0.09613579511642456,
-0.04951237142086029,
-0.01934429071843624,
0.031647320836782455,
0.012904923409223557,
-0.01557967159897089,
-0.027335112914443016,
-0.08833445608615875,
-0.038222674280405045,
-0.014348945580422878,
-0.08792340010404587,
-0.039722733199596405,
-0.07915522158145905,
-0.031182853505015373,
-0.05886050686240196,
-0.020025022327899933,
0.035120055079460144,
0.0428021065890789,
0.05673839896917343,
0.04835470765829086,
-0.06956065446138382,
0.05716820806264877,
0.016840018332004547,
0.06245045363903046,
-0.04940754175186157,
0.08885163813829422,
-0.019662320613861084,
-0.12303141504526138,
0.13935090601444244,
-0.0896233469247818,
-0.10624483227729797,
-0.058035217225551605,
-0.09953707456588745,
-0.03611022233963013,
-0.005391730461269617,
0.06769442558288574,
-0.00991576537489891,
0.05725102126598358,
-0.03414726257324219,
0.015841158106923103,
0.04530218243598938,
-0.06748589873313904,
-0.07415997236967087,
-0.010637753643095493,
-0.022890757769346237,
0.02522467076778412,
-0.06259553879499435,
0.0415973924100399,
-0.02022598683834076,
0.02120158262550831,
-0.05428512766957283,
-0.11958630383014679,
0.049468427896499634,
-0.045000847429037094,
-0.10854566097259521,
0.02523566409945488,
0.05127689242362976,
0.02500908263027668,
0.027508951723575592,
-0.018947916105389595,
0.00524209113791585,
0.06662190705537796,
-0.023454761132597923,
-0.04029815271496773,
-0.039898451417684555,
0.07094405591487885,
0.07566168159246445,
-0.06446649879217148,
0.002426142804324627,
0.054190587252378464,
0.031212182715535164,
-0.004389629699289799,
-0.08872587978839874,
-0.01798580028116703,
-0.003228046465665102,
0.1232285127043724,
0.04217050224542618,
-0.05258234217762947,
-0.021434925496578217,
-0.04154743254184723,
-0.0233142152428627,
0.008896292187273502,
0.07787376642227173,
-0.073672354221344,
0.0827566385269165,
0.005448089446872473,
1.2294828778101359e-33,
-0.07479364424943924,
-0.0005980680580250919,
0.004854707513004541,
-0.06794044375419617,
0.03389902785420418,
0.07702098786830902,
0.02479507029056549,
-0.03800652548670769,
-0.03224075213074684,
-0.033541109412908554,
-0.03553636744618416,
-0.025461630895733833,
-0.024329377338290215,
-0.0402633436024189,
0.028834933415055275,
0.017245294526219368,
-0.054234571754932404,
0.045343268662691116,
0.04542093724012375,
-0.07053981721401215,
0.06870581209659576,
-0.10399331152439117,
-0.041330426931381226,
-0.018486706539988518,
-0.0037058359012007713,
-0.07247346639633179,
-0.010871870443224907,
-0.04519650340080261,
-0.057211510837078094,
-0.0015401478158310056,
-0.021173011511564255,
0.03378526493906975,
-0.0034787014592438936,
0.006972971372306347,
-0.015203969553112984,
-0.0005488618044182658,
0.02798195369541645,
0.016628962010145187,
-0.04200398176908493,
0.03929149731993675,
-0.06828852742910385,
0.08050959557294846,
0.07513754814863205,
0.014031880535185337,
-0.048708725720644,
-0.030447475612163544,
0.10173478722572327,
0.16262847185134888,
0.04352518543601036,
-0.11641756445169449,
-0.04314901679754257,
0.007893378846347332,
-0.01533125713467598,
0.03983914107084274,
0.1125708520412445,
-0.031063176691532135,
0.016561234369874,
-0.09782295674085617,
0.06564496457576752,
-0.0008885785937309265,
0.009320227429270744,
-0.0014584098244085908,
0.006790630519390106,
-0.08007031679153442,
-0.00458418857306242,
0.027442360296845436,
0.06755033880472183,
0.00538573507219553,
0.010556609369814396,
-0.01549148466438055,
-0.02703871577978134,
0.04553515091538429,
0.03514648601412773,
0.00830054935067892,
-0.020158952102065086,
-0.03867633640766144,
-0.03883570805191994,
0.01415973249822855,
-0.021866824477910995,
-0.00459884712472558,
-0.0741957575082779,
0.003417535685002804,
0.019226303324103355,
-0.0959910973906517,
-0.019638756290078163,
-0.021930981427431107,
-0.002777780406177044,
0.03836410492658615,
-0.028378009796142578,
0.03354734182357788,
-0.0715651661157608,
0.023598959669470787,
-0.00696433475241065,
0.06312404572963715,
0.024817965924739838,
-8.444294075536447e-34,
0.00678562605753541,
0.02351849339902401,
0.013301849365234375,
-0.008676229044795036,
0.03646627813577652,
-0.05610967054963112,
0.011037487536668777,
0.027360819280147552,
-0.057161636650562286,
-0.03218501806259155,
-0.020503554493188858,
-0.056312575936317444,
-0.003891072701662779,
0.013591045513749123,
0.04687966778874397,
-0.014349587261676788,
-0.05033727362751961,
0.10941463708877563,
-0.04530123248696327,
-0.08062147349119186,
0.028180180117487907,
0.023835595697164536,
-0.014142182655632496,
0.035995665937662125,
-0.040849946439266205,
0.0142609728500247,
-0.05528460815548897,
0.1312820315361023,
-0.034381140023469925,
0.020754359662532806,
-0.014200353063642979,
-0.023230573162436485,
-0.034646034240722656,
0.033998727798461914,
-0.006575174629688263,
0.012416288256645203,
-0.04113120958209038,
0.08441033959388733,
-0.0106271393597126,
0.13252994418144226,
0.012321238406002522,
0.09015896171331406,
-0.01615959033370018,
0.0851176455616951,
0.03685967996716499,
0.046202607452869415,
0.057125985622406006,
-0.012039890512824059,
0.00012365590373519808,
-0.012083000503480434,
0.05244254320859909,
-0.055923860520124435,
-0.005036503542214632,
0.06984316557645798,
-0.10711261630058289,
0.06532811373472214,
-0.07728477567434311,
-0.005538332741707563,
0.04950983449816704,
-0.055833108723163605,
-0.03629114851355553,
-0.005845044273883104,
-0.0110244769603014,
0.0583098866045475,
0.04610281437635422,
-0.002480330877006054,
0.03875764459371567,
0.02187366969883442,
0.026870114728808403,
0.04722144827246666,
-0.08290322870016098,
-0.04416244477033615,
-0.03697097674012184,
0.015950733795762062,
0.01294735074043274,
0.08228210359811783,
0.027778485789895058,
0.061692602932453156,
-0.0025067345704883337,
0.052121661603450775,
0.057555876672267914,
0.0568670816719532,
0.10577821731567383,
0.04849740490317345,
0.0038832761347293854,
-0.006013372913002968,
-0.016353469341993332,
-0.003701319918036461,
0.03219235688447952,
-0.05244740471243858,
-0.030969589948654175,
-0.07163401693105698,
0.046408675611019135,
-0.028015222400426865,
-0.018412724137306213,
-4.121429242331942e-8,
-0.06008182093501091,
-0.08516913652420044,
-0.020797841250896454,
-0.040199022740125656,
0.053102705627679825,
-0.059005267918109894,
-0.017205800861120224,
-0.04793940484523773,
0.009890402667224407,
0.03385442867875099,
-0.009289586916565895,
-0.018414771184325218,
-0.06883399188518524,
-0.01585368998348713,
-0.048927757889032364,
-0.05716833472251892,
-0.09702891856431961,
0.09640331566333771,
0.04464755579829216,
-0.039775215089321136,
-0.06014632433652878,
0.020157990977168083,
0.043651413172483444,
0.021959686651825905,
0.00393622275441885,
0.04056663438677788,
0.023139938712120056,
0.013456580229103565,
0.06339456140995026,
0.08917643874883652,
-0.01816864311695099,
0.006457746494561434,
0.047538839280605316,
0.05372200533747673,
-0.006260860711336136,
0.026957165449857712,
-0.026858478784561157,
-0.0064068753272295,
-0.055563148111104965,
0.08534065634012222,
0.016820725053548813,
0.005071425344794989,
0.10701514035463333,
-0.021777091547846794,
0.09617302566766739,
0.04810302332043648,
-0.007460512220859528,
-0.01775260455906391,
-0.0004778658039867878,
0.07043801993131638,
0.04373973235487938,
-0.025470910593867302,
-0.004789715167135,
0.012387069873511791,
0.02060728706419468,
-0.1521177738904953,
0.08537861704826355,
-0.030218837782740593,
-0.021036766469478607,
0.004018235951662064,
0.024851182475686073,
0.017107991501688957,
-0.000543776957783848,
0.0027794046327471733
] | null | null | null | null | null | null | null |
[
-0.017255539074540138,
-0.007801096886396408,
0.034428294748067856,
-0.026235049590468407,
0.0520331971347332,
0.0035791911650449038,
0.07965005189180374,
0.029287362471222878,
0.007481555454432964,
0.00015344348503276706,
0.02115417830646038,
0.0522257424890995,
0.07084827125072479,
-0.0699823796749115,
-0.06733503937721252,
0.0730867013335228,
0.07234074920415878,
0.026618098840117455,
-0.000312869087792933,
-0.008562359027564526,
0.029074234887957573,
-0.05134892463684082,
-0.020582249388098717,
-0.01021774485707283,
0.08959361165761948,
-0.13870275020599365,
0.05364742502570152,
0.046718720346689224,
-0.013222327455878258,
0.0413038432598114,
-0.020261086523532867,
-0.07706397771835327,
0.029298044741153717,
0.01638142392039299,
-0.02919427864253521,
0.009305804967880249,
-0.0050519779324531555,
0.03891192376613617,
0.043536026030778885,
-0.021711736917495728,
0.07446462661027908,
0.09613579511642456,
-0.04951237142086029,
-0.01934429071843624,
0.031647320836782455,
0.012904923409223557,
-0.01557967159897089,
-0.027335112914443016,
-0.08833445608615875,
-0.038222674280405045,
-0.014348945580422878,
-0.08792340010404587,
-0.039722733199596405,
-0.07915522158145905,
-0.031182853505015373,
-0.05886050686240196,
-0.020025022327899933,
0.035120055079460144,
0.0428021065890789,
0.05673839896917343,
0.04835470765829086,
-0.06956065446138382,
0.05716820806264877,
0.016840018332004547,
0.06245045363903046,
-0.04940754175186157,
0.08885163813829422,
-0.019662320613861084,
-0.12303141504526138,
0.13935090601444244,
-0.0896233469247818,
-0.10624483227729797,
-0.058035217225551605,
-0.09953707456588745,
-0.03611022233963013,
-0.005391730461269617,
0.06769442558288574,
-0.00991576537489891,
0.05725102126598358,
-0.03414726257324219,
0.015841158106923103,
0.04530218243598938,
-0.06748589873313904,
-0.07415997236967087,
-0.010637753643095493,
-0.022890757769346237,
0.02522467076778412,
-0.06259553879499435,
0.0415973924100399,
-0.02022598683834076,
0.02120158262550831,
-0.05428512766957283,
-0.11958630383014679,
0.049468427896499634,
-0.045000847429037094,
-0.10854566097259521,
0.02523566409945488,
0.05127689242362976,
0.02500908263027668,
0.027508951723575592,
-0.018947916105389595,
0.00524209113791585,
0.06662190705537796,
-0.023454761132597923,
-0.04029815271496773,
-0.039898451417684555,
0.07094405591487885,
0.07566168159246445,
-0.06446649879217148,
0.002426142804324627,
0.054190587252378464,
0.031212182715535164,
-0.004389629699289799,
-0.08872587978839874,
-0.01798580028116703,
-0.003228046465665102,
0.1232285127043724,
0.04217050224542618,
-0.05258234217762947,
-0.021434925496578217,
-0.04154743254184723,
-0.0233142152428627,
0.008896292187273502,
0.07787376642227173,
-0.073672354221344,
0.0827566385269165,
0.005448089446872473,
1.2294828778101359e-33,
-0.07479364424943924,
-0.0005980680580250919,
0.004854707513004541,
-0.06794044375419617,
0.03389902785420418,
0.07702098786830902,
0.02479507029056549,
-0.03800652548670769,
-0.03224075213074684,
-0.033541109412908554,
-0.03553636744618416,
-0.025461630895733833,
-0.024329377338290215,
-0.0402633436024189,
0.028834933415055275,
0.017245294526219368,
-0.054234571754932404,
0.045343268662691116,
0.04542093724012375,
-0.07053981721401215,
0.06870581209659576,
-0.10399331152439117,
-0.041330426931381226,
-0.018486706539988518,
-0.0037058359012007713,
-0.07247346639633179,
-0.010871870443224907,
-0.04519650340080261,
-0.057211510837078094,
-0.0015401478158310056,
-0.021173011511564255,
0.03378526493906975,
-0.0034787014592438936,
0.006972971372306347,
-0.015203969553112984,
-0.0005488618044182658,
0.02798195369541645,
0.016628962010145187,
-0.04200398176908493,
0.03929149731993675,
-0.06828852742910385,
0.08050959557294846,
0.07513754814863205,
0.014031880535185337,
-0.048708725720644,
-0.030447475612163544,
0.10173478722572327,
0.16262847185134888,
0.04352518543601036,
-0.11641756445169449,
-0.04314901679754257,
0.007893378846347332,
-0.01533125713467598,
0.03983914107084274,
0.1125708520412445,
-0.031063176691532135,
0.016561234369874,
-0.09782295674085617,
0.06564496457576752,
-0.0008885785937309265,
0.009320227429270744,
-0.0014584098244085908,
0.006790630519390106,
-0.08007031679153442,
-0.00458418857306242,
0.027442360296845436,
0.06755033880472183,
0.00538573507219553,
0.010556609369814396,
-0.01549148466438055,
-0.02703871577978134,
0.04553515091538429,
0.03514648601412773,
0.00830054935067892,
-0.020158952102065086,
-0.03867633640766144,
-0.03883570805191994,
0.01415973249822855,
-0.021866824477910995,
-0.00459884712472558,
-0.0741957575082779,
0.003417535685002804,
0.019226303324103355,
-0.0959910973906517,
-0.019638756290078163,
-0.021930981427431107,
-0.002777780406177044,
0.03836410492658615,
-0.028378009796142578,
0.03354734182357788,
-0.0715651661157608,
0.023598959669470787,
-0.00696433475241065,
0.06312404572963715,
0.024817965924739838,
-8.444294075536447e-34,
0.00678562605753541,
0.02351849339902401,
0.013301849365234375,
-0.008676229044795036,
0.03646627813577652,
-0.05610967054963112,
0.011037487536668777,
0.027360819280147552,
-0.057161636650562286,
-0.03218501806259155,
-0.020503554493188858,
-0.056312575936317444,
-0.003891072701662779,
0.013591045513749123,
0.04687966778874397,
-0.014349587261676788,
-0.05033727362751961,
0.10941463708877563,
-0.04530123248696327,
-0.08062147349119186,
0.028180180117487907,
0.023835595697164536,
-0.014142182655632496,
0.035995665937662125,
-0.040849946439266205,
0.0142609728500247,
-0.05528460815548897,
0.1312820315361023,
-0.034381140023469925,
0.020754359662532806,
-0.014200353063642979,
-0.023230573162436485,
-0.034646034240722656,
0.033998727798461914,
-0.006575174629688263,
0.012416288256645203,
-0.04113120958209038,
0.08441033959388733,
-0.0106271393597126,
0.13252994418144226,
0.012321238406002522,
0.09015896171331406,
-0.01615959033370018,
0.0851176455616951,
0.03685967996716499,
0.046202607452869415,
0.057125985622406006,
-0.012039890512824059,
0.00012365590373519808,
-0.012083000503480434,
0.05244254320859909,
-0.055923860520124435,
-0.005036503542214632,
0.06984316557645798,
-0.10711261630058289,
0.06532811373472214,
-0.07728477567434311,
-0.005538332741707563,
0.04950983449816704,
-0.055833108723163605,
-0.03629114851355553,
-0.005845044273883104,
-0.0110244769603014,
0.0583098866045475,
0.04610281437635422,
-0.002480330877006054,
0.03875764459371567,
0.02187366969883442,
0.026870114728808403,
0.04722144827246666,
-0.08290322870016098,
-0.04416244477033615,
-0.03697097674012184,
0.015950733795762062,
0.01294735074043274,
0.08228210359811783,
0.027778485789895058,
0.061692602932453156,
-0.0025067345704883337,
0.052121661603450775,
0.057555876672267914,
0.0568670816719532,
0.10577821731567383,
0.04849740490317345,
0.0038832761347293854,
-0.006013372913002968,
-0.016353469341993332,
-0.003701319918036461,
0.03219235688447952,
-0.05244740471243858,
-0.030969589948654175,
-0.07163401693105698,
0.046408675611019135,
-0.028015222400426865,
-0.018412724137306213,
-4.121429242331942e-8,
-0.06008182093501091,
-0.08516913652420044,
-0.020797841250896454,
-0.040199022740125656,
0.053102705627679825,
-0.059005267918109894,
-0.017205800861120224,
-0.04793940484523773,
0.009890402667224407,
0.03385442867875099,
-0.009289586916565895,
-0.018414771184325218,
-0.06883399188518524,
-0.01585368998348713,
-0.048927757889032364,
-0.05716833472251892,
-0.09702891856431961,
0.09640331566333771,
0.04464755579829216,
-0.039775215089321136,
-0.06014632433652878,
0.020157990977168083,
0.043651413172483444,
0.021959686651825905,
0.00393622275441885,
0.04056663438677788,
0.023139938712120056,
0.013456580229103565,
0.06339456140995026,
0.08917643874883652,
-0.01816864311695099,
0.006457746494561434,
0.047538839280605316,
0.05372200533747673,
-0.006260860711336136,
0.026957165449857712,
-0.026858478784561157,
-0.0064068753272295,
-0.055563148111104965,
0.08534065634012222,
0.016820725053548813,
0.005071425344794989,
0.10701514035463333,
-0.021777091547846794,
0.09617302566766739,
0.04810302332043648,
-0.007460512220859528,
-0.01775260455906391,
-0.0004778658039867878,
0.07043801993131638,
0.04373973235487938,
-0.025470910593867302,
-0.004789715167135,
0.012387069873511791,
0.02060728706419468,
-0.1521177738904953,
0.08537861704826355,
-0.030218837782740593,
-0.021036766469478607,
0.004018235951662064,
0.024851182475686073,
0.017107991501688957,
-0.000543776957783848,
0.0027794046327471733
] |
1401.6260
|
Yijin Zhang
|
Yijin Zhang, Yuan-Hsun Lo, Feng Shu and Wing Shing Wong
|
Protocol Sequences for Multiple-Packet Reception
|
25 pages, 4 figures. A revision submitted to IEEE Trans. Inform.
Theory
| null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Consider a time slotted communication channel shared by $K$ active users and
a single receiver. It is assumed that the receiver has the ability of the
multiple-packet reception (MPR) to correctly receive at most $\gamma$ ($1 \leq
\gamma < K$) simultaneously transmitted packets. Each user accesses the channel
following a specific periodical binary sequence, called the protocol sequence,
and transmits a packet within a channel slot if and only if the sequence value
is equal to one. The fluctuation in throughput is incurred by inevitable random
relative shifts among the users due to the lack of feedback. A set of protocol
sequences is said to be throughput-invariant (TI) if it can be employed to
produce invariant throughput for any relative shifts, i.e., maximize the
worst-case throughput. It was shown in the literature that the TI property
without considering MPR (i.e., $\gamma=1$) can be achieved by using
shift-invariant (SI) sequences, whose generalized Hamming cross-correlation is
independent of relative shifts. This paper investigates TI sequences for MPR;
results obtained include achievable throughput value, a lower bound on the
sequence period, an optimal construction of TI sequences that achieves the
lower bound on the sequence period, and intrinsic structure of TI sequences. In
addition, we present a practical packet decoding mechanism for TI sequences
that incorporates packet header, forward error-correcting code, and advanced
physical layer blind signal separation techniques.
|
[
{
"created": "Fri, 24 Jan 2014 05:23:52 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Sep 2014 09:43:25 GMT",
"version": "v2"
}
] |
2014-09-29
|
[
[
"Zhang",
"Yijin",
""
],
[
"Lo",
"Yuan-Hsun",
""
],
[
"Shu",
"Feng",
""
],
[
"Wong",
"Wing Shing",
""
]
] |
[
-0.022528234869241714,
-0.0757230669260025,
-0.06049034371972084,
-0.049053166061639786,
0.0016497295582666993,
0.036383818835020065,
0.11804945021867752,
-0.08716877549886703,
0.031988222151994705,
-0.014944402500987053,
-0.06536085158586502,
0.05029480531811714,
0.038127340376377106,
0.0035426439717411995,
0.011845185421407223,
-0.03889014199376106,
0.13277336955070496,
0.046940870583057404,
0.032532114535570145,
-0.014704279601573944,
-0.005842077545821667,
-0.0324612595140934,
0.00621624942868948,
0.008984459564089775,
-0.05068343132734299,
-0.060383573174476624,
-0.036248642951250076,
-0.009785530157387257,
-0.03936358168721199,
0.005578622687608004,
-0.01755337044596672,
0.03845398500561714,
0.056231867522001266,
-0.05550432205200195,
-0.060103707015514374,
0.038167521357536316,
0.04298601299524307,
-0.02562542073428631,
-0.00021999658201821148,
0.07470892369747162,
-0.05919661000370979,
0.024028899148106575,
-0.04704611748456955,
0.017764268442988396,
-0.07623540610074997,
0.031364332884550095,
0.052079908549785614,
0.03820119425654411,
-0.09444525092840195,
-0.01807452365756035,
-0.007333429530262947,
0.09063435345888138,
0.023174460977315903,
0.11590749025344849,
0.00495694437995553,
-0.06785871833562851,
-0.02626543678343296,
0.05586366727948189,
-0.03176945447921753,
0.06185135617852211,
-0.010043835267424583,
-0.02098250761628151,
-0.03909958153963089,
-0.05014831945300102,
0.003626585938036442,
-0.0012934370897710323,
0.021863479167222977,
0.03621222823858261,
-0.018102329224348068,
0.043939344584941864,
-0.06553124636411667,
-0.00263976794667542,
-0.10021330416202545,
0.017642192542552948,
0.012683420442044735,
-0.0035540121607482433,
0.010372615419328213,
0.07028399407863617,
0.04426370561122894,
-0.046968888491392136,
0.051983173936605453,
0.05476284399628639,
0.04337112605571747,
-0.12489769607782364,
0.09170994907617569,
-0.05322813615202904,
-0.04590774327516556,
0.08616817742586136,
0.036791279911994934,
-0.03292176127433777,
-0.048161644488573074,
0.05541830509901047,
0.07996861636638641,
0.05152454227209091,
0.04344308376312256,
-0.054159000515937805,
0.027227217331528664,
-0.007505451794713736,
0.07045162469148636,
0.07601561397314072,
-0.013864722102880478,
-0.029099129140377045,
-0.02091199718415737,
0.0024260052014142275,
0.08516742289066315,
0.030919644981622696,
-0.03966166451573372,
0.033745475113391876,
0.01668076403439045,
0.00570171233266592,
-0.03483586013317108,
0.06173371523618698,
-0.031452376395463943,
0.039650820195674896,
-0.01622169278562069,
0.07646672427654266,
-0.02482198178768158,
0.037334050983190536,
0.021794168278574944,
0.06278000771999359,
-0.02236904203891754,
-0.10456112772226334,
0.004369931761175394,
0.03393474966287613,
0.023018477484583855,
-0.02151390165090561,
0.04988793283700943,
7.759512596529808e-34,
-0.0029092582408338785,
0.0436151959002018,
-0.04581507295370102,
-0.08090382814407349,
-0.005618114024400711,
-0.01759222149848938,
0.0274936705827713,
0.010522221215069294,
-0.004351161420345306,
-0.06384087353944778,
-0.07239356637001038,
-0.015950409695506096,
0.010340939275920391,
0.02871747501194477,
0.029160035774111748,
0.046075187623500824,
-0.05656604841351509,
-0.01638883166015148,
0.032784633338451385,
-0.10032974183559418,
0.027226176112890244,
-0.06922788172960281,
-0.05783339962363243,
0.0075222766026854515,
0.01567346230149269,
-0.02950461581349373,
-0.068088598549366,
-0.06665676087141037,
0.017749300226569176,
0.04683458060026169,
-0.009665094316005707,
-0.028372613713145256,
0.043726351112127304,
0.017474479973316193,
-0.027871306985616684,
-0.010186746716499329,
0.0010969835566356778,
-0.0385160893201828,
0.0050882333889603615,
-0.02741474285721779,
-0.00923344399780035,
0.0027345051057636738,
-0.03173552453517914,
-0.019351933151483536,
-0.06876028329133987,
-0.07189609110355377,
0.07718510925769806,
0.02888023480772972,
-0.14817048609256744,
0.005362869240343571,
0.04054877161979675,
0.04047670215368271,
-0.062373846769332886,
-0.0625523254275322,
0.003983163740485907,
-0.0482470728456974,
0.07715710997581482,
0.10089550912380219,
0.043368514627218246,
0.17468976974487305,
-0.03420482203364372,
0.002215013140812516,
0.04737228527665138,
0.013067340478301048,
0.015769153833389282,
-0.044307466596364975,
-0.08174383640289307,
0.005933723412454128,
0.04333461448550224,
0.04481153190135956,
-0.003313518362119794,
0.027135515585541725,
-0.04014304652810097,
-0.04295385256409645,
-0.0288954246789217,
0.023072857409715652,
0.011138583533465862,
-0.09196633100509644,
-0.07221399992704391,
0.047799188643693924,
-0.07526542991399765,
0.05294350907206535,
0.007534907199442387,
-0.014535535126924515,
-0.07913236320018768,
0.04169953241944313,
0.038877494633197784,
0.00902131199836731,
-0.08534877747297287,
-0.020326144993305206,
0.02141294814646244,
0.011147748678922653,
0.03159298747777939,
0.017844872549176216,
0.05060309171676636,
-1.8004637385232113e-33,
-0.02902655117213726,
0.022830577567219734,
0.018703877925872803,
0.0778198093175888,
0.012178303673863411,
-0.04043719172477722,
0.014452964998781681,
-0.04428021237254143,
-0.021108834072947502,
0.016139473766088486,
-0.04435177147388458,
-0.043638844043016434,
-0.03900529444217682,
0.07200052589178085,
0.01071603037416935,
-0.07243259996175766,
0.023249905556440353,
0.09756878018379211,
0.0007495832396671176,
0.04325494542717934,
0.11490076780319214,
-0.02048974670469761,
-0.055342260748147964,
-0.03879466652870178,
0.016960831359028816,
0.012152126990258694,
0.03769240155816078,
0.04663779214024544,
0.03494952246546745,
-0.020588776096701622,
-0.050404030829668045,
-0.04276271164417267,
0.0012362526031211019,
-0.014862138777971268,
0.06549572944641113,
-0.017814306542277336,
0.01327049545943737,
0.11156798899173737,
-0.05122999846935272,
0.12799300253391266,
0.06984148919582367,
-0.01428940799087286,
-0.023689622059464455,
0.01670532301068306,
0.046479009091854095,
0.04303044080734253,
-0.07126237452030182,
0.025909023359417915,
-0.00872495211660862,
-0.01992204785346985,
0.09290764480829239,
-0.012196901254355907,
0.03325556218624115,
0.06794753670692444,
-0.04404732212424278,
0.07550932466983795,
-0.017723340541124344,
0.06219391152262688,
0.04187048599123955,
0.03458282724022865,
0.011518022045493126,
-0.014977945946156979,
-0.014622526243329048,
0.012454204261302948,
0.1326638013124466,
-0.07384062558412552,
0.0039572459645569324,
-0.14225278794765472,
0.05832470953464508,
0.034686245024204254,
0.03810684010386467,
0.010834130458533764,
-0.02733219787478447,
-0.02114599011838436,
0.00794216338545084,
0.008542703464627266,
-0.01848280243575573,
-0.018763704225420952,
-0.09868284314870834,
0.03859812393784523,
-0.12201620638370514,
0.11022048443555832,
0.021701788529753685,
-0.03537730872631073,
-0.061659641563892365,
0.06632134318351746,
0.08717901259660721,
-0.010737481527030468,
-0.005915543530136347,
-0.1412934958934784,
0.008812778629362583,
0.060730334371328354,
-0.02962220087647438,
-0.03597940504550934,
-0.005541710648685694,
-5.565037497490266e-8,
0.02831128053367138,
-0.05893447995185852,
-0.07237336784601212,
0.006939153652638197,
0.07091651111841202,
0.03195557743310928,
-0.004588617477566004,
-0.047543082386255264,
0.06898030638694763,
-0.0238654725253582,
0.05877005681395531,
0.04521484673023224,
0.037759535014629364,
0.011510198004543781,
-0.008743194863200188,
-0.009984765201807022,
-0.06960518658161163,
-0.13408425450325012,
-0.04613268002867699,
-0.009030120447278023,
0.05902666598558426,
0.026849154382944107,
0.026196196675300598,
0.022937117144465446,
-0.049254510551691055,
-0.010027569718658924,
0.0175173282623291,
0.04626154154539108,
0.06466055661439896,
-0.09074953943490982,
-0.009816155768930912,
0.016871759667992592,
0.09453436732292175,
-0.029397636651992798,
-0.0245627723634243,
-0.019742906093597412,
-0.07639692723751068,
0.02940169908106327,
-0.01587403565645218,
-0.01564924605190754,
0.04900765419006348,
-0.08239598572254181,
-0.06905840337276459,
0.010310627520084381,
0.006783303804695606,
-0.02327270433306694,
-0.006810343824326992,
0.0214350875467062,
-0.07612567394971848,
0.0011083341669291258,
0.048852019011974335,
0.033879801630973816,
0.052440397441387177,
-0.011177378706634045,
0.05186329782009125,
-0.016155196353793144,
-0.02131870947778225,
-0.12433364987373352,
0.048527348786592484,
-0.02868124097585678,
-0.03269800916314125,
0.04531102254986763,
-0.08243578672409058,
-0.029709529131650925
] | null | null | null | null | null | null | null |
[
-0.022528234869241714,
-0.0757230669260025,
-0.06049034371972084,
-0.049053166061639786,
0.0016497295582666993,
0.036383818835020065,
0.11804945021867752,
-0.08716877549886703,
0.031988222151994705,
-0.014944402500987053,
-0.06536085158586502,
0.05029480531811714,
0.038127340376377106,
0.0035426439717411995,
0.011845185421407223,
-0.03889014199376106,
0.13277336955070496,
0.046940870583057404,
0.032532114535570145,
-0.014704279601573944,
-0.005842077545821667,
-0.0324612595140934,
0.00621624942868948,
0.008984459564089775,
-0.05068343132734299,
-0.060383573174476624,
-0.036248642951250076,
-0.009785530157387257,
-0.03936358168721199,
0.005578622687608004,
-0.01755337044596672,
0.03845398500561714,
0.056231867522001266,
-0.05550432205200195,
-0.060103707015514374,
0.038167521357536316,
0.04298601299524307,
-0.02562542073428631,
-0.00021999658201821148,
0.07470892369747162,
-0.05919661000370979,
0.024028899148106575,
-0.04704611748456955,
0.017764268442988396,
-0.07623540610074997,
0.031364332884550095,
0.052079908549785614,
0.03820119425654411,
-0.09444525092840195,
-0.01807452365756035,
-0.007333429530262947,
0.09063435345888138,
0.023174460977315903,
0.11590749025344849,
0.00495694437995553,
-0.06785871833562851,
-0.02626543678343296,
0.05586366727948189,
-0.03176945447921753,
0.06185135617852211,
-0.010043835267424583,
-0.02098250761628151,
-0.03909958153963089,
-0.05014831945300102,
0.003626585938036442,
-0.0012934370897710323,
0.021863479167222977,
0.03621222823858261,
-0.018102329224348068,
0.043939344584941864,
-0.06553124636411667,
-0.00263976794667542,
-0.10021330416202545,
0.017642192542552948,
0.012683420442044735,
-0.0035540121607482433,
0.010372615419328213,
0.07028399407863617,
0.04426370561122894,
-0.046968888491392136,
0.051983173936605453,
0.05476284399628639,
0.04337112605571747,
-0.12489769607782364,
0.09170994907617569,
-0.05322813615202904,
-0.04590774327516556,
0.08616817742586136,
0.036791279911994934,
-0.03292176127433777,
-0.048161644488573074,
0.05541830509901047,
0.07996861636638641,
0.05152454227209091,
0.04344308376312256,
-0.054159000515937805,
0.027227217331528664,
-0.007505451794713736,
0.07045162469148636,
0.07601561397314072,
-0.013864722102880478,
-0.029099129140377045,
-0.02091199718415737,
0.0024260052014142275,
0.08516742289066315,
0.030919644981622696,
-0.03966166451573372,
0.033745475113391876,
0.01668076403439045,
0.00570171233266592,
-0.03483586013317108,
0.06173371523618698,
-0.031452376395463943,
0.039650820195674896,
-0.01622169278562069,
0.07646672427654266,
-0.02482198178768158,
0.037334050983190536,
0.021794168278574944,
0.06278000771999359,
-0.02236904203891754,
-0.10456112772226334,
0.004369931761175394,
0.03393474966287613,
0.023018477484583855,
-0.02151390165090561,
0.04988793283700943,
7.759512596529808e-34,
-0.0029092582408338785,
0.0436151959002018,
-0.04581507295370102,
-0.08090382814407349,
-0.005618114024400711,
-0.01759222149848938,
0.0274936705827713,
0.010522221215069294,
-0.004351161420345306,
-0.06384087353944778,
-0.07239356637001038,
-0.015950409695506096,
0.010340939275920391,
0.02871747501194477,
0.029160035774111748,
0.046075187623500824,
-0.05656604841351509,
-0.01638883166015148,
0.032784633338451385,
-0.10032974183559418,
0.027226176112890244,
-0.06922788172960281,
-0.05783339962363243,
0.0075222766026854515,
0.01567346230149269,
-0.02950461581349373,
-0.068088598549366,
-0.06665676087141037,
0.017749300226569176,
0.04683458060026169,
-0.009665094316005707,
-0.028372613713145256,
0.043726351112127304,
0.017474479973316193,
-0.027871306985616684,
-0.010186746716499329,
0.0010969835566356778,
-0.0385160893201828,
0.0050882333889603615,
-0.02741474285721779,
-0.00923344399780035,
0.0027345051057636738,
-0.03173552453517914,
-0.019351933151483536,
-0.06876028329133987,
-0.07189609110355377,
0.07718510925769806,
0.02888023480772972,
-0.14817048609256744,
0.005362869240343571,
0.04054877161979675,
0.04047670215368271,
-0.062373846769332886,
-0.0625523254275322,
0.003983163740485907,
-0.0482470728456974,
0.07715710997581482,
0.10089550912380219,
0.043368514627218246,
0.17468976974487305,
-0.03420482203364372,
0.002215013140812516,
0.04737228527665138,
0.013067340478301048,
0.015769153833389282,
-0.044307466596364975,
-0.08174383640289307,
0.005933723412454128,
0.04333461448550224,
0.04481153190135956,
-0.003313518362119794,
0.027135515585541725,
-0.04014304652810097,
-0.04295385256409645,
-0.0288954246789217,
0.023072857409715652,
0.011138583533465862,
-0.09196633100509644,
-0.07221399992704391,
0.047799188643693924,
-0.07526542991399765,
0.05294350907206535,
0.007534907199442387,
-0.014535535126924515,
-0.07913236320018768,
0.04169953241944313,
0.038877494633197784,
0.00902131199836731,
-0.08534877747297287,
-0.020326144993305206,
0.02141294814646244,
0.011147748678922653,
0.03159298747777939,
0.017844872549176216,
0.05060309171676636,
-1.8004637385232113e-33,
-0.02902655117213726,
0.022830577567219734,
0.018703877925872803,
0.0778198093175888,
0.012178303673863411,
-0.04043719172477722,
0.014452964998781681,
-0.04428021237254143,
-0.021108834072947502,
0.016139473766088486,
-0.04435177147388458,
-0.043638844043016434,
-0.03900529444217682,
0.07200052589178085,
0.01071603037416935,
-0.07243259996175766,
0.023249905556440353,
0.09756878018379211,
0.0007495832396671176,
0.04325494542717934,
0.11490076780319214,
-0.02048974670469761,
-0.055342260748147964,
-0.03879466652870178,
0.016960831359028816,
0.012152126990258694,
0.03769240155816078,
0.04663779214024544,
0.03494952246546745,
-0.020588776096701622,
-0.050404030829668045,
-0.04276271164417267,
0.0012362526031211019,
-0.014862138777971268,
0.06549572944641113,
-0.017814306542277336,
0.01327049545943737,
0.11156798899173737,
-0.05122999846935272,
0.12799300253391266,
0.06984148919582367,
-0.01428940799087286,
-0.023689622059464455,
0.01670532301068306,
0.046479009091854095,
0.04303044080734253,
-0.07126237452030182,
0.025909023359417915,
-0.00872495211660862,
-0.01992204785346985,
0.09290764480829239,
-0.012196901254355907,
0.03325556218624115,
0.06794753670692444,
-0.04404732212424278,
0.07550932466983795,
-0.017723340541124344,
0.06219391152262688,
0.04187048599123955,
0.03458282724022865,
0.011518022045493126,
-0.014977945946156979,
-0.014622526243329048,
0.012454204261302948,
0.1326638013124466,
-0.07384062558412552,
0.0039572459645569324,
-0.14225278794765472,
0.05832470953464508,
0.034686245024204254,
0.03810684010386467,
0.010834130458533764,
-0.02733219787478447,
-0.02114599011838436,
0.00794216338545084,
0.008542703464627266,
-0.01848280243575573,
-0.018763704225420952,
-0.09868284314870834,
0.03859812393784523,
-0.12201620638370514,
0.11022048443555832,
0.021701788529753685,
-0.03537730872631073,
-0.061659641563892365,
0.06632134318351746,
0.08717901259660721,
-0.010737481527030468,
-0.005915543530136347,
-0.1412934958934784,
0.008812778629362583,
0.060730334371328354,
-0.02962220087647438,
-0.03597940504550934,
-0.005541710648685694,
-5.565037497490266e-8,
0.02831128053367138,
-0.05893447995185852,
-0.07237336784601212,
0.006939153652638197,
0.07091651111841202,
0.03195557743310928,
-0.004588617477566004,
-0.047543082386255264,
0.06898030638694763,
-0.0238654725253582,
0.05877005681395531,
0.04521484673023224,
0.037759535014629364,
0.011510198004543781,
-0.008743194863200188,
-0.009984765201807022,
-0.06960518658161163,
-0.13408425450325012,
-0.04613268002867699,
-0.009030120447278023,
0.05902666598558426,
0.026849154382944107,
0.026196196675300598,
0.022937117144465446,
-0.049254510551691055,
-0.010027569718658924,
0.0175173282623291,
0.04626154154539108,
0.06466055661439896,
-0.09074953943490982,
-0.009816155768930912,
0.016871759667992592,
0.09453436732292175,
-0.029397636651992798,
-0.0245627723634243,
-0.019742906093597412,
-0.07639692723751068,
0.02940169908106327,
-0.01587403565645218,
-0.01564924605190754,
0.04900765419006348,
-0.08239598572254181,
-0.06905840337276459,
0.010310627520084381,
0.006783303804695606,
-0.02327270433306694,
-0.006810343824326992,
0.0214350875467062,
-0.07612567394971848,
0.0011083341669291258,
0.048852019011974335,
0.033879801630973816,
0.052440397441387177,
-0.011177378706634045,
0.05186329782009125,
-0.016155196353793144,
-0.02131870947778225,
-0.12433364987373352,
0.048527348786592484,
-0.02868124097585678,
-0.03269800916314125,
0.04531102254986763,
-0.08243578672409058,
-0.029709529131650925
] |
1401.6262
|
Benjamin Roberts
|
B. M. Roberts, V. A. Dzuba, V. V. Flambaum
|
Strongly enhanced atomic parity violation due to close levels of
opposite parity
|
15 pages, 19 tables, 0 figures
|
Phys. Rev. A 89, 042509 (2014)
|
10.1103/PhysRevA.89.042509
| null |
physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present calculations of nuclear-spin-dependent and
nuclear-spin-independent parity violating amplitudes in Ba, Ra, Ac+, Th and Pa.
Parity nonconservation in these systems is greatly enhanced due to the presence
of very close electronic energy levels of opposite parity, large nuclear
charge, and strong nuclear enhancement of parity-violating effects. The
presented amplitudes constitute several of the largest atomic parity-violating
signals predicted so far. Experiments using these systems may be performed to
determine values for the nuclear anapole moment, a P-odd T-even nuclear moment
given rise to by parity-violating nuclear forces. Such measurements may prove
to be valuable tools in the study of parity violation in the hadron sector. The
considered spin-independent transitions could also be used to measure the ratio
of weak charges for different isotopes of the same atom, the results of which
would serve as a test of the standard model and also of neutron distributions.
Barium, with seven stable isotopes, is particularly promising in this regard.
|
[
{
"created": "Fri, 24 Jan 2014 05:27:24 GMT",
"version": "v1"
}
] |
2014-04-23
|
[
[
"Roberts",
"B. M.",
""
],
[
"Dzuba",
"V. A.",
""
],
[
"Flambaum",
"V. V.",
""
]
] |
[
-0.07099713385105133,
-0.0949457660317421,
-0.0385836586356163,
0.031766701489686966,
0.019054526463150978,
0.0005890013999305665,
-0.011863750405609608,
0.0639813169836998,
-0.031681373715400696,
0.0122390016913414,
0.0006495370762422681,
-0.030508963391184807,
-0.04313820227980614,
-0.01606946438550949,
0.03651951625943184,
-0.04271845892071724,
0.004810696467757225,
0.030276617035269737,
0.005869642831385136,
0.05815473571419716,
-0.06176340952515602,
-0.07519940286874771,
0.009362700395286083,
0.020785124972462654,
0.021633252501487732,
-0.006015928462147713,
0.06530288606882095,
-0.058512475341558456,
-0.0046559665352106094,
-0.09281926602125168,
-0.01507657952606678,
-0.012473275884985924,
0.09083172678947449,
-0.007992930710315704,
0.055570803582668304,
0.03772616386413574,
0.02920839935541153,
-0.017994780093431473,
0.0030757731292396784,
-0.09905374050140381,
0.043896786868572235,
0.05992784723639488,
0.007960673421621323,
0.030095526948571205,
-0.0026027909480035305,
-0.040407124906778336,
0.044141463935375214,
-0.03539469093084335,
-0.0616406686604023,
0.04278877004981041,
0.13374844193458557,
0.06028219312429428,
-0.03429890424013138,
-0.0352928452193737,
-0.07743330299854279,
-0.02636573649942875,
0.046380456537008286,
-0.026205312460660934,
-0.009516670368611813,
-0.013238017447292805,
-0.003844666061922908,
-0.01551657635718584,
-0.0419977568089962,
-0.05494857206940651,
0.11641757935285568,
0.003102905349805951,
0.04256834089756012,
-0.0021619319450110197,
0.006959885358810425,
0.00910223089158535,
-0.027872081845998764,
0.0038608962204307318,
-0.03929196670651436,
0.003487091278657317,
0.009479586035013199,
-0.029262471944093704,
-0.06896007806062698,
0.008082853630185127,
0.0235773716121912,
0.006833641789853573,
-0.07795469462871552,
-0.0806911364197731,
0.007250180933624506,
-0.026882290840148926,
0.02508397027850151,
0.03463452309370041,
-0.02728983946144581,
0.03850264847278595,
-0.03261687234044075,
0.06323910504579544,
0.011815633624792099,
0.0053780474700033665,
0.02448921836912632,
0.013608898036181927,
0.06744949519634247,
0.11416991055011749,
0.015087458305060863,
-0.09140408784151077,
0.022085200995206833,
0.004250950645655394,
0.12187131494283676,
0.060194432735443115,
-0.053099989891052246,
0.002789543243125081,
-0.008056780323386192,
0.013127977959811687,
0.049131862819194794,
-0.09350663423538208,
-0.08563243597745895,
0.0565371997654438,
0.08213242888450623,
0.04134828597307205,
0.038402821868658066,
-0.052393633872270584,
0.015475521795451641,
-0.04725607484579086,
0.02582393027842045,
0.050983089953660965,
0.020468614995479584,
-0.0343036912381649,
-0.07172392308712006,
0.056020259857177734,
-0.006074568722397089,
0.048555925488471985,
0.02450115978717804,
-0.02294282801449299,
-0.10816025733947754,
2.8090011573302708e-33,
0.04900294542312622,
0.01848960481584072,
-0.01021251268684864,
0.002244509756565094,
-0.0686144009232521,
0.04561551287770271,
-0.0659673735499382,
-0.05342637374997139,
-0.05661278963088989,
0.08021870255470276,
-0.045274101197719574,
-0.047880981117486954,
0.14953167736530304,
-0.19350817799568176,
-0.02063816227018833,
0.012148343026638031,
0.02734895423054695,
0.02765107899904251,
0.055988650768995285,
-0.04600219056010246,
-0.016021987423300743,
0.010507085360586643,
-0.03908192738890648,
0.015461022965610027,
0.09800567477941513,
0.06984248012304306,
-0.01071871817111969,
0.03642204403877258,
-0.0513727106153965,
-0.002861510496586561,
0.013346141204237938,
0.04110000655055046,
-0.005888692103326321,
0.052483607083559036,
0.011170659214258194,
-0.08419793099164963,
-0.01796012744307518,
-0.009774582460522652,
-0.04417666792869568,
-0.03471832722425461,
0.0012586492812260985,
-0.01673990488052368,
-0.025620993226766586,
-0.0018594982102513313,
-0.0034194476902484894,
-0.06742919981479645,
0.13998208940029144,
-0.012859901413321495,
0.06084343045949936,
-0.04059074819087982,
-0.026631316170096397,
-0.04725358262658119,
-0.030926302075386047,
-0.011364978738129139,
0.04034717008471489,
0.00964925903826952,
0.12413989007472992,
0.04633067548274994,
0.044465482234954834,
0.08927656710147858,
0.07806415855884552,
0.06452176719903946,
0.03965955600142479,
-0.063010074198246,
-0.03586388751864433,
0.06308039277791977,
-0.13594844937324524,
-0.06525418907403946,
0.0314629040658474,
-0.004429214168339968,
-0.05654960498213768,
-0.025935109704732895,
0.024143248796463013,
-0.06771191209554672,
0.062008146196603775,
0.0023937502410262823,
-0.018607592210173607,
0.027971770614385605,
0.06364016234874725,
0.03289155662059784,
-0.019813409075140953,
-0.0880567729473114,
0.05818408355116844,
0.017890142276883125,
-0.04985197260975838,
0.013638196513056755,
-0.062251269817352295,
-0.07687560468912125,
-0.002187881385907531,
-0.023219194263219833,
0.06256153434515,
-0.03239176794886589,
0.02174198254942894,
-0.037045203149318695,
-0.05130027234554291,
-3.490873655160609e-33,
-0.10392499715089798,
-0.01202027965337038,
-0.0739373043179512,
0.07930806279182434,
0.000014843845747236628,
-0.0392744354903698,
-0.05428256094455719,
0.00018453797383699566,
0.022703053429722786,
-0.03927493840456009,
0.07996512204408646,
-0.008661513216793537,
-0.08166162669658661,
-0.013055069372057915,
0.022927027195692062,
0.09722042083740234,
0.07051806896924973,
0.019819654524326324,
0.06213896721601486,
0.045380305498838425,
-0.02036496251821518,
0.03762584552168846,
0.06657879054546356,
0.024852635338902473,
-0.021533286198973656,
0.030892958864569664,
0.020394673570990562,
-0.08014902472496033,
0.09042587876319885,
0.07003974169492722,
-0.04219626635313034,
0.07981300354003906,
0.003681004047393799,
0.040000442415475845,
-0.054680000990629196,
-0.09528856724500656,
-0.0448133610188961,
0.05621500313282013,
-0.08553460985422134,
-0.01731640286743641,
0.011281014420092106,
0.09442832320928574,
0.03712809085845947,
0.020002024248242378,
-0.0037811934016644955,
-0.048145003616809845,
0.01743425987660885,
0.0773797556757927,
-0.04248640313744545,
0.018789218738675117,
-0.03606044873595238,
-0.033957481384277344,
0.06106099858880043,
0.080280601978302,
-0.029543163254857063,
-0.013062137179076672,
-0.00884835235774517,
0.023482413962483406,
0.09750589728355408,
0.001520362333394587,
-0.05646580830216408,
-0.0580190010368824,
0.037024710327386856,
-0.03194442763924599,
0.012156989425420761,
0.045507486909627914,
-0.040394917130470276,
0.026080748066306114,
0.040248315781354904,
-0.0332767590880394,
-0.014938604086637497,
-0.011884129606187344,
0.01834425888955593,
0.005048314109444618,
-0.029325386509299278,
0.027466094121336937,
0.07837521284818649,
-0.06396778672933578,
0.06205947697162628,
-0.009477567858994007,
-0.07434005290269852,
0.10035780817270279,
-0.11243826895952225,
-0.06127477064728737,
0.040034178644418716,
0.0013016347074881196,
-0.06806007772684097,
0.01141055766493082,
0.018934527412056923,
-0.06155100092291832,
-0.01655498519539833,
0.02041144110262394,
-0.021036488935351372,
0.028962984681129456,
0.061009958386421204,
-4.697857747260059e-8,
-0.037469517439603806,
-0.018702995032072067,
-0.05300058797001839,
0.0631147027015686,
0.09025594592094421,
0.037261079996824265,
0.010754608549177647,
-0.061001796275377274,
-0.0031168225686997175,
0.007894587703049183,
0.014739521779119968,
-0.003257756121456623,
0.0022140578366816044,
-0.06937476247549057,
0.08255775272846222,
0.06477311253547668,
-0.011531148105859756,
0.04408373311161995,
-0.03209724649786949,
0.019534459337592125,
0.03193802759051323,
0.015910863876342773,
0.01898518204689026,
-0.05437854304909706,
0.0015865681925788522,
0.07819399237632751,
-0.02653781697154045,
-0.059491682797670364,
-0.01053108461201191,
-0.02929697372019291,
0.06715604662895203,
-0.04071807861328125,
0.0224399846047163,
-0.0067194378934800625,
-0.0387982502579689,
0.08096127212047577,
0.007357250899076462,
0.00175405980553478,
0.020186131820082664,
0.1015717089176178,
-0.03147692605853081,
0.020560281351208687,
-0.02616390958428383,
0.06223366782069206,
-0.08982203155755997,
0.04051855206489563,
-0.031193168833851814,
0.001242917263880372,
0.022644206881523132,
-0.029632434248924255,
-0.053134724497795105,
0.03208344802260399,
-0.031485218554735184,
-0.05621844157576561,
0.0022882537450641394,
0.04240895435214043,
0.009433348663151264,
-0.05113840103149414,
-0.02471015974879265,
0.07138465344905853,
0.11705298721790314,
-0.09816380590200424,
-0.05867840349674225,
-0.06318746507167816
] | null | null | null | null | null | null | null |
[
-0.07099713385105133,
-0.0949457660317421,
-0.0385836586356163,
0.031766701489686966,
0.019054526463150978,
0.0005890013999305665,
-0.011863750405609608,
0.0639813169836998,
-0.031681373715400696,
0.0122390016913414,
0.0006495370762422681,
-0.030508963391184807,
-0.04313820227980614,
-0.01606946438550949,
0.03651951625943184,
-0.04271845892071724,
0.004810696467757225,
0.030276617035269737,
0.005869642831385136,
0.05815473571419716,
-0.06176340952515602,
-0.07519940286874771,
0.009362700395286083,
0.020785124972462654,
0.021633252501487732,
-0.006015928462147713,
0.06530288606882095,
-0.058512475341558456,
-0.0046559665352106094,
-0.09281926602125168,
-0.01507657952606678,
-0.012473275884985924,
0.09083172678947449,
-0.007992930710315704,
0.055570803582668304,
0.03772616386413574,
0.02920839935541153,
-0.017994780093431473,
0.0030757731292396784,
-0.09905374050140381,
0.043896786868572235,
0.05992784723639488,
0.007960673421621323,
0.030095526948571205,
-0.0026027909480035305,
-0.040407124906778336,
0.044141463935375214,
-0.03539469093084335,
-0.0616406686604023,
0.04278877004981041,
0.13374844193458557,
0.06028219312429428,
-0.03429890424013138,
-0.0352928452193737,
-0.07743330299854279,
-0.02636573649942875,
0.046380456537008286,
-0.026205312460660934,
-0.009516670368611813,
-0.013238017447292805,
-0.003844666061922908,
-0.01551657635718584,
-0.0419977568089962,
-0.05494857206940651,
0.11641757935285568,
0.003102905349805951,
0.04256834089756012,
-0.0021619319450110197,
0.006959885358810425,
0.00910223089158535,
-0.027872081845998764,
0.0038608962204307318,
-0.03929196670651436,
0.003487091278657317,
0.009479586035013199,
-0.029262471944093704,
-0.06896007806062698,
0.008082853630185127,
0.0235773716121912,
0.006833641789853573,
-0.07795469462871552,
-0.0806911364197731,
0.007250180933624506,
-0.026882290840148926,
0.02508397027850151,
0.03463452309370041,
-0.02728983946144581,
0.03850264847278595,
-0.03261687234044075,
0.06323910504579544,
0.011815633624792099,
0.0053780474700033665,
0.02448921836912632,
0.013608898036181927,
0.06744949519634247,
0.11416991055011749,
0.015087458305060863,
-0.09140408784151077,
0.022085200995206833,
0.004250950645655394,
0.12187131494283676,
0.060194432735443115,
-0.053099989891052246,
0.002789543243125081,
-0.008056780323386192,
0.013127977959811687,
0.049131862819194794,
-0.09350663423538208,
-0.08563243597745895,
0.0565371997654438,
0.08213242888450623,
0.04134828597307205,
0.038402821868658066,
-0.052393633872270584,
0.015475521795451641,
-0.04725607484579086,
0.02582393027842045,
0.050983089953660965,
0.020468614995479584,
-0.0343036912381649,
-0.07172392308712006,
0.056020259857177734,
-0.006074568722397089,
0.048555925488471985,
0.02450115978717804,
-0.02294282801449299,
-0.10816025733947754,
2.8090011573302708e-33,
0.04900294542312622,
0.01848960481584072,
-0.01021251268684864,
0.002244509756565094,
-0.0686144009232521,
0.04561551287770271,
-0.0659673735499382,
-0.05342637374997139,
-0.05661278963088989,
0.08021870255470276,
-0.045274101197719574,
-0.047880981117486954,
0.14953167736530304,
-0.19350817799568176,
-0.02063816227018833,
0.012148343026638031,
0.02734895423054695,
0.02765107899904251,
0.055988650768995285,
-0.04600219056010246,
-0.016021987423300743,
0.010507085360586643,
-0.03908192738890648,
0.015461022965610027,
0.09800567477941513,
0.06984248012304306,
-0.01071871817111969,
0.03642204403877258,
-0.0513727106153965,
-0.002861510496586561,
0.013346141204237938,
0.04110000655055046,
-0.005888692103326321,
0.052483607083559036,
0.011170659214258194,
-0.08419793099164963,
-0.01796012744307518,
-0.009774582460522652,
-0.04417666792869568,
-0.03471832722425461,
0.0012586492812260985,
-0.01673990488052368,
-0.025620993226766586,
-0.0018594982102513313,
-0.0034194476902484894,
-0.06742919981479645,
0.13998208940029144,
-0.012859901413321495,
0.06084343045949936,
-0.04059074819087982,
-0.026631316170096397,
-0.04725358262658119,
-0.030926302075386047,
-0.011364978738129139,
0.04034717008471489,
0.00964925903826952,
0.12413989007472992,
0.04633067548274994,
0.044465482234954834,
0.08927656710147858,
0.07806415855884552,
0.06452176719903946,
0.03965955600142479,
-0.063010074198246,
-0.03586388751864433,
0.06308039277791977,
-0.13594844937324524,
-0.06525418907403946,
0.0314629040658474,
-0.004429214168339968,
-0.05654960498213768,
-0.025935109704732895,
0.024143248796463013,
-0.06771191209554672,
0.062008146196603775,
0.0023937502410262823,
-0.018607592210173607,
0.027971770614385605,
0.06364016234874725,
0.03289155662059784,
-0.019813409075140953,
-0.0880567729473114,
0.05818408355116844,
0.017890142276883125,
-0.04985197260975838,
0.013638196513056755,
-0.062251269817352295,
-0.07687560468912125,
-0.002187881385907531,
-0.023219194263219833,
0.06256153434515,
-0.03239176794886589,
0.02174198254942894,
-0.037045203149318695,
-0.05130027234554291,
-3.490873655160609e-33,
-0.10392499715089798,
-0.01202027965337038,
-0.0739373043179512,
0.07930806279182434,
0.000014843845747236628,
-0.0392744354903698,
-0.05428256094455719,
0.00018453797383699566,
0.022703053429722786,
-0.03927493840456009,
0.07996512204408646,
-0.008661513216793537,
-0.08166162669658661,
-0.013055069372057915,
0.022927027195692062,
0.09722042083740234,
0.07051806896924973,
0.019819654524326324,
0.06213896721601486,
0.045380305498838425,
-0.02036496251821518,
0.03762584552168846,
0.06657879054546356,
0.024852635338902473,
-0.021533286198973656,
0.030892958864569664,
0.020394673570990562,
-0.08014902472496033,
0.09042587876319885,
0.07003974169492722,
-0.04219626635313034,
0.07981300354003906,
0.003681004047393799,
0.040000442415475845,
-0.054680000990629196,
-0.09528856724500656,
-0.0448133610188961,
0.05621500313282013,
-0.08553460985422134,
-0.01731640286743641,
0.011281014420092106,
0.09442832320928574,
0.03712809085845947,
0.020002024248242378,
-0.0037811934016644955,
-0.048145003616809845,
0.01743425987660885,
0.0773797556757927,
-0.04248640313744545,
0.018789218738675117,
-0.03606044873595238,
-0.033957481384277344,
0.06106099858880043,
0.080280601978302,
-0.029543163254857063,
-0.013062137179076672,
-0.00884835235774517,
0.023482413962483406,
0.09750589728355408,
0.001520362333394587,
-0.05646580830216408,
-0.0580190010368824,
0.037024710327386856,
-0.03194442763924599,
0.012156989425420761,
0.045507486909627914,
-0.040394917130470276,
0.026080748066306114,
0.040248315781354904,
-0.0332767590880394,
-0.014938604086637497,
-0.011884129606187344,
0.01834425888955593,
0.005048314109444618,
-0.029325386509299278,
0.027466094121336937,
0.07837521284818649,
-0.06396778672933578,
0.06205947697162628,
-0.009477567858994007,
-0.07434005290269852,
0.10035780817270279,
-0.11243826895952225,
-0.06127477064728737,
0.040034178644418716,
0.0013016347074881196,
-0.06806007772684097,
0.01141055766493082,
0.018934527412056923,
-0.06155100092291832,
-0.01655498519539833,
0.02041144110262394,
-0.021036488935351372,
0.028962984681129456,
0.061009958386421204,
-4.697857747260059e-8,
-0.037469517439603806,
-0.018702995032072067,
-0.05300058797001839,
0.0631147027015686,
0.09025594592094421,
0.037261079996824265,
0.010754608549177647,
-0.061001796275377274,
-0.0031168225686997175,
0.007894587703049183,
0.014739521779119968,
-0.003257756121456623,
0.0022140578366816044,
-0.06937476247549057,
0.08255775272846222,
0.06477311253547668,
-0.011531148105859756,
0.04408373311161995,
-0.03209724649786949,
0.019534459337592125,
0.03193802759051323,
0.015910863876342773,
0.01898518204689026,
-0.05437854304909706,
0.0015865681925788522,
0.07819399237632751,
-0.02653781697154045,
-0.059491682797670364,
-0.01053108461201191,
-0.02929697372019291,
0.06715604662895203,
-0.04071807861328125,
0.0224399846047163,
-0.0067194378934800625,
-0.0387982502579689,
0.08096127212047577,
0.007357250899076462,
0.00175405980553478,
0.020186131820082664,
0.1015717089176178,
-0.03147692605853081,
0.020560281351208687,
-0.02616390958428383,
0.06223366782069206,
-0.08982203155755997,
0.04051855206489563,
-0.031193168833851814,
0.001242917263880372,
0.022644206881523132,
-0.029632434248924255,
-0.053134724497795105,
0.03208344802260399,
-0.031485218554735184,
-0.05621844157576561,
0.0022882537450641394,
0.04240895435214043,
0.009433348663151264,
-0.05113840103149414,
-0.02471015974879265,
0.07138465344905853,
0.11705298721790314,
-0.09816380590200424,
-0.05867840349674225,
-0.06318746507167816
] |
1401.6264
|
Reevana Balmahoon
|
Reevana Balmahoon and Ling Cheng
|
Information Leakage of Correlated Source Coded Sequences over Channel
with an Eavesdropper
| null | null | null | null |
cs.IT math.IT
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
A new generalised approach for multiple correlated sources over a wiretap
network is investigated. A basic model consisting of two correlated sources
where each produce a component of the common information is initially
investigated. There are several cases that consider wiretapped syndromes on the
transmission links and based on these cases a new quantity, the information
leakage at the source/s is determined. An interesting feature of the models
described in this paper is the information leakage quantification. Shannon's
cipher system with eavesdroppers is incorporated into the two correlated
sources model to minimize key lengths. These aspects of quantifying information
leakage and reducing key lengths using Shannon's cipher system are also
considered for a multiple correlated source network approach. A new scheme that
incorporates masking using common information combinations to reduce the key
lengths is presented and applied to the generalised model for multiple sources.
|
[
{
"created": "Fri, 24 Jan 2014 05:59:22 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Mar 2014 14:00:09 GMT",
"version": "v10"
},
{
"created": "Sat, 22 Mar 2014 12:21:16 GMT",
"version": "v11"
},
{
"created": "Thu, 2 Oct 2014 21:00:56 GMT",
"version": "v12"
},
{
"created": "Mon, 24 Feb 2014 20:19:38 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Feb 2014 20:28:55 GMT",
"version": "v3"
},
{
"created": "Wed, 26 Feb 2014 11:30:59 GMT",
"version": "v4"
},
{
"created": "Thu, 27 Feb 2014 12:08:43 GMT",
"version": "v5"
},
{
"created": "Tue, 4 Mar 2014 09:53:00 GMT",
"version": "v6"
},
{
"created": "Wed, 5 Mar 2014 20:14:18 GMT",
"version": "v7"
},
{
"created": "Fri, 7 Mar 2014 17:33:50 GMT",
"version": "v8"
},
{
"created": "Mon, 10 Mar 2014 16:47:59 GMT",
"version": "v9"
}
] |
2014-10-06
|
[
[
"Balmahoon",
"Reevana",
""
],
[
"Cheng",
"Ling",
""
]
] |
[
-0.03504040464758873,
-0.003639969974756241,
0.024717111140489578,
-0.006198733113706112,
0.024493161588907242,
0.01215476356446743,
0.07294649630784988,
-0.07936374098062515,
0.07002002745866776,
-0.009348700754344463,
0.04521866515278816,
0.03776231408119202,
0.12644615769386292,
-0.05030743405222893,
-0.0331643745303154,
-0.03997426852583885,
-0.0490616038441658,
0.033256202936172485,
-0.02867523767054081,
-0.06433268636465073,
0.05294724553823471,
-0.04576452076435089,
-0.061405736953020096,
-0.026032162830233574,
0.01396083366125822,
0.009549393318593502,
0.06377819925546646,
-0.00768376886844635,
-0.08431761711835861,
-0.030858062207698822,
0.03989889472723007,
0.0119776064530015,
-0.0036192398983985186,
-0.04081926494836807,
-0.05784312263131142,
-0.08538597822189331,
0.027688290923833847,
0.07411942631006241,
0.039175406098365784,
0.07439146190881729,
-0.04531683027744293,
0.007891744375228882,
-0.0050009191036224365,
0.04237697273492813,
-0.06248212233185768,
0.04248586669564247,
0.014996789395809174,
0.08369913697242737,
-0.06677073985338211,
-0.07442867755889893,
0.00809550192207098,
0.06795334070920944,
-0.07722922414541245,
0.07596898078918457,
0.03909739851951599,
-0.13237595558166504,
-0.09368479996919632,
0.009083538316190243,
-0.05492394044995308,
0.09435179084539413,
0.05858097970485687,
0.04553680494427681,
-0.07511059939861298,
-0.008412754163146019,
0.028469383716583252,
0.08388525247573853,
0.0295540913939476,
0.040701065212488174,
-0.029660513624548912,
0.03062351606786251,
-0.045742008835077286,
-0.03601975739002228,
-0.11183811724185944,
0.04156497120857239,
-0.06567450612783432,
0.04316653683781624,
-0.042323242872953415,
-0.007795511279255152,
-0.034515440464019775,
-0.0020344601944088936,
-0.029902039095759392,
0.05236291140317917,
0.02306940406560898,
-0.022290410473942757,
0.07977436482906342,
0.03369566798210144,
0.010511405766010284,
-0.059830162674188614,
-0.03868166357278824,
-0.05400587618350983,
0.0011858762009069324,
-0.03825724497437477,
0.06651612371206284,
0.061790212988853455,
0.0675533264875412,
-0.018747122958302498,
0.02023329958319664,
-0.028821438550949097,
0.011035488918423653,
-0.009614044800400734,
0.024761077016592026,
0.016164565458893776,
0.04832758754491806,
-0.03960779681801796,
0.08528108149766922,
0.06191982328891754,
0.05118831992149353,
0.0021635780576616526,
0.023041311651468277,
0.01879463531076908,
-0.022251641377806664,
0.04308323562145233,
-0.10421872138977051,
-0.07191959768533707,
-0.03360601142048836,
0.11306645721197128,
-0.01805104687809944,
0.10477019846439362,
0.010959629900753498,
0.07249852269887924,
0.025093603879213333,
-0.031380631029605865,
0.05957125499844551,
0.031819429248571396,
-0.07445364445447922,
-0.008112316019833088,
-0.020159779116511345,
3.927227076419427e-33,
-0.052781712263822556,
0.0727766752243042,
-0.08679208159446716,
0.03585227206349373,
0.03872840106487274,
0.07675192505121231,
-0.0006436426192522049,
0.01548815332353115,
-0.011589504778385162,
0.07473993301391602,
-0.04275433346629143,
0.007211991120129824,
-0.016676893457770348,
-0.03181953355669975,
0.017173033207654953,
0.06481490284204483,
-0.018654178828001022,
0.06990020722150803,
0.09349267929792404,
-0.04038449376821518,
0.03047856129705906,
-0.038738593459129333,
0.056038301438093185,
0.003462309017777443,
0.06779424846172333,
-0.05739577114582062,
-0.0049277907237410545,
-0.0397469662129879,
-0.043814767152071,
-0.005542748607695103,
-0.00005199948645895347,
0.05925698205828667,
0.06033759564161301,
-0.030501436442136765,
0.007420517969876528,
-0.008654989302158356,
0.043023448437452316,
-0.050001565366983414,
0.03550777584314346,
0.018146224319934845,
0.03456057235598564,
-0.025241902098059654,
0.0064437128603458405,
-0.07140424847602844,
-0.04678568243980408,
0.041114162653684616,
-0.02201724424958229,
-0.0277707539498806,
-0.04921706020832062,
-0.000022338177586789243,
0.05925792083144188,
-0.00957843940705061,
-0.04409980773925781,
-0.009432372637093067,
0.0037131363060325384,
0.009696775116026402,
0.003428591415286064,
-0.020615609362721443,
0.07933251559734344,
0.13684120774269104,
-0.1108478382229805,
0.05055579915642738,
0.03701893240213394,
-0.019265228882431984,
0.04756132513284683,
0.02969851717352867,
-0.00019607650756370276,
-0.08785941451787949,
0.047501880675554276,
-0.0073358165100216866,
-0.03619563952088356,
-0.025292333215475082,
0.038543716073036194,
0.0033721900545060635,
-0.04951285943388939,
-0.012441052123904228,
-0.1283862441778183,
0.014817832969129086,
0.07011299580335617,
-0.005185539368540049,
-0.07059037685394287,
0.033942122012376785,
0.04709703102707863,
0.06580933183431625,
-0.04598471522331238,
0.07329703122377396,
-0.009880034253001213,
0.010141454637050629,
-0.09821929782629013,
0.08376520872116089,
-0.00020402226073201746,
0.06395268440246582,
0.019322533160448074,
-0.12235359847545624,
0.08700446784496307,
-4.178443443501597e-33,
-0.12066998332738876,
0.030717963352799416,
-0.04410169646143913,
0.005434786900877953,
0.007134939078241587,
-0.0642874613404274,
0.021382223814725876,
-0.008633114397525787,
0.06168466433882713,
0.048009712249040604,
-0.01035343948751688,
-0.07052552700042725,
-0.002884833374992013,
-0.05936228483915329,
0.07376255095005035,
0.006396051961928606,
0.03034559078514576,
0.028635311871767044,
-0.017254406586289406,
0.017382632941007614,
0.009070790372788906,
-0.07733672112226486,
-0.044535815715789795,
-0.07410652935504913,
0.14852245151996613,
-0.03434789925813675,
-0.022900134325027466,
0.049050770699977875,
0.06479690223932266,
0.027456453070044518,
-0.03847220167517662,
0.039617106318473816,
-0.04621070623397827,
-0.013502855785191059,
-0.05766855180263519,
0.02826233021914959,
-0.005239726509898901,
0.10154035687446594,
-0.031685225665569305,
-0.01017336267977953,
0.007993465289473534,
-0.021160650998353958,
-0.03247020021080971,
-0.02480086125433445,
0.019646987318992615,
-0.12478659301996231,
-0.03695162385702133,
0.0581788495182991,
-0.06668488681316376,
-0.04721932113170624,
0.013865533284842968,
-0.052446089684963226,
-0.04056992009282112,
0.03292209655046463,
-0.011068163439631462,
0.10090099275112152,
-0.03230204060673714,
0.10558953136205673,
0.05985650792717934,
0.010679949074983597,
0.02348092384636402,
-0.0727904811501503,
0.027829477563500404,
0.03384062647819519,
0.1127604991197586,
-0.020353710278868675,
0.04233785346150398,
0.0011177414562553167,
-0.036079104989767075,
0.03110824152827263,
0.10560010373592377,
-0.040470875799655914,
0.07187078893184662,
-0.040792934596538544,
0.02475721202790737,
-0.002209891565144062,
-0.046207476407289505,
0.001081021036952734,
-0.049660760909318924,
0.045073576271533966,
-0.008886529132723808,
0.03798624500632286,
-0.06202467903494835,
0.009478836320340633,
-0.001639868482016027,
0.018590489402413368,
0.16206587851047516,
-0.013203533366322517,
0.031363293528556824,
-0.04940062016248703,
-0.0331483818590641,
-0.02936101332306862,
-0.030795995146036148,
0.011267329566180706,
-0.0212933998554945,
-4.3165833574221324e-8,
-0.03175076097249985,
-0.010686433874070644,
-0.08862826973199844,
-0.003194448072463274,
0.036926042288541794,
-0.003612434957176447,
-0.027674512937664986,
0.0069474754855036736,
0.012546055018901825,
-0.04390296712517738,
0.06955290585756302,
0.0038918801583349705,
0.022670548409223557,
0.03049829974770546,
-0.006347661837935448,
-0.025034045800566673,
-0.054494794458150864,
-0.1219821646809578,
-0.0051291403360664845,
-0.038809649646282196,
0.02309592254459858,
-0.017901159822940826,
-0.024916337803006172,
0.03775463253259659,
0.023188035935163498,
-0.016593102365732193,
0.07348967343568802,
0.05586538836359978,
0.033262018114328384,
-0.0021216189488768578,
-0.029925335198640823,
-0.050177183002233505,
0.009859408251941204,
0.032042499631643295,
-0.015026425942778587,
0.037722524255514145,
-0.0014559649862349033,
-0.05523023009300232,
-0.012791765853762627,
0.11436547338962555,
-0.03749929741024971,
-0.13600914180278778,
-0.0066623263992369175,
0.07106959074735641,
0.026667892932891846,
0.040685366839170456,
0.04936271905899048,
0.0033069055061787367,
-0.020518112927675247,
0.010105274617671967,
0.03783673420548439,
-0.03009202890098095,
0.010670776478946209,
-0.036965519189834595,
0.015510362572968006,
-0.04365317150950432,
0.0646076500415802,
-0.04877732694149017,
0.02986428700387478,
-0.02993515133857727,
-0.08240851759910583,
0.0413653738796711,
-0.04240405559539795,
-0.05500894784927368
] | null | null | null | null | null | null | null |
[
-0.03504040464758873,
-0.003639969974756241,
0.024717111140489578,
-0.006198733113706112,
0.024493161588907242,
0.01215476356446743,
0.07294649630784988,
-0.07936374098062515,
0.07002002745866776,
-0.009348700754344463,
0.04521866515278816,
0.03776231408119202,
0.12644615769386292,
-0.05030743405222893,
-0.0331643745303154,
-0.03997426852583885,
-0.0490616038441658,
0.033256202936172485,
-0.02867523767054081,
-0.06433268636465073,
0.05294724553823471,
-0.04576452076435089,
-0.061405736953020096,
-0.026032162830233574,
0.01396083366125822,
0.009549393318593502,
0.06377819925546646,
-0.00768376886844635,
-0.08431761711835861,
-0.030858062207698822,
0.03989889472723007,
0.0119776064530015,
-0.0036192398983985186,
-0.04081926494836807,
-0.05784312263131142,
-0.08538597822189331,
0.027688290923833847,
0.07411942631006241,
0.039175406098365784,
0.07439146190881729,
-0.04531683027744293,
0.007891744375228882,
-0.0050009191036224365,
0.04237697273492813,
-0.06248212233185768,
0.04248586669564247,
0.014996789395809174,
0.08369913697242737,
-0.06677073985338211,
-0.07442867755889893,
0.00809550192207098,
0.06795334070920944,
-0.07722922414541245,
0.07596898078918457,
0.03909739851951599,
-0.13237595558166504,
-0.09368479996919632,
0.009083538316190243,
-0.05492394044995308,
0.09435179084539413,
0.05858097970485687,
0.04553680494427681,
-0.07511059939861298,
-0.008412754163146019,
0.028469383716583252,
0.08388525247573853,
0.0295540913939476,
0.040701065212488174,
-0.029660513624548912,
0.03062351606786251,
-0.045742008835077286,
-0.03601975739002228,
-0.11183811724185944,
0.04156497120857239,
-0.06567450612783432,
0.04316653683781624,
-0.042323242872953415,
-0.007795511279255152,
-0.034515440464019775,
-0.0020344601944088936,
-0.029902039095759392,
0.05236291140317917,
0.02306940406560898,
-0.022290410473942757,
0.07977436482906342,
0.03369566798210144,
0.010511405766010284,
-0.059830162674188614,
-0.03868166357278824,
-0.05400587618350983,
0.0011858762009069324,
-0.03825724497437477,
0.06651612371206284,
0.061790212988853455,
0.0675533264875412,
-0.018747122958302498,
0.02023329958319664,
-0.028821438550949097,
0.011035488918423653,
-0.009614044800400734,
0.024761077016592026,
0.016164565458893776,
0.04832758754491806,
-0.03960779681801796,
0.08528108149766922,
0.06191982328891754,
0.05118831992149353,
0.0021635780576616526,
0.023041311651468277,
0.01879463531076908,
-0.022251641377806664,
0.04308323562145233,
-0.10421872138977051,
-0.07191959768533707,
-0.03360601142048836,
0.11306645721197128,
-0.01805104687809944,
0.10477019846439362,
0.010959629900753498,
0.07249852269887924,
0.025093603879213333,
-0.031380631029605865,
0.05957125499844551,
0.031819429248571396,
-0.07445364445447922,
-0.008112316019833088,
-0.020159779116511345,
3.927227076419427e-33,
-0.052781712263822556,
0.0727766752243042,
-0.08679208159446716,
0.03585227206349373,
0.03872840106487274,
0.07675192505121231,
-0.0006436426192522049,
0.01548815332353115,
-0.011589504778385162,
0.07473993301391602,
-0.04275433346629143,
0.007211991120129824,
-0.016676893457770348,
-0.03181953355669975,
0.017173033207654953,
0.06481490284204483,
-0.018654178828001022,
0.06990020722150803,
0.09349267929792404,
-0.04038449376821518,
0.03047856129705906,
-0.038738593459129333,
0.056038301438093185,
0.003462309017777443,
0.06779424846172333,
-0.05739577114582062,
-0.0049277907237410545,
-0.0397469662129879,
-0.043814767152071,
-0.005542748607695103,
-0.00005199948645895347,
0.05925698205828667,
0.06033759564161301,
-0.030501436442136765,
0.007420517969876528,
-0.008654989302158356,
0.043023448437452316,
-0.050001565366983414,
0.03550777584314346,
0.018146224319934845,
0.03456057235598564,
-0.025241902098059654,
0.0064437128603458405,
-0.07140424847602844,
-0.04678568243980408,
0.041114162653684616,
-0.02201724424958229,
-0.0277707539498806,
-0.04921706020832062,
-0.000022338177586789243,
0.05925792083144188,
-0.00957843940705061,
-0.04409980773925781,
-0.009432372637093067,
0.0037131363060325384,
0.009696775116026402,
0.003428591415286064,
-0.020615609362721443,
0.07933251559734344,
0.13684120774269104,
-0.1108478382229805,
0.05055579915642738,
0.03701893240213394,
-0.019265228882431984,
0.04756132513284683,
0.02969851717352867,
-0.00019607650756370276,
-0.08785941451787949,
0.047501880675554276,
-0.0073358165100216866,
-0.03619563952088356,
-0.025292333215475082,
0.038543716073036194,
0.0033721900545060635,
-0.04951285943388939,
-0.012441052123904228,
-0.1283862441778183,
0.014817832969129086,
0.07011299580335617,
-0.005185539368540049,
-0.07059037685394287,
0.033942122012376785,
0.04709703102707863,
0.06580933183431625,
-0.04598471522331238,
0.07329703122377396,
-0.009880034253001213,
0.010141454637050629,
-0.09821929782629013,
0.08376520872116089,
-0.00020402226073201746,
0.06395268440246582,
0.019322533160448074,
-0.12235359847545624,
0.08700446784496307,
-4.178443443501597e-33,
-0.12066998332738876,
0.030717963352799416,
-0.04410169646143913,
0.005434786900877953,
0.007134939078241587,
-0.0642874613404274,
0.021382223814725876,
-0.008633114397525787,
0.06168466433882713,
0.048009712249040604,
-0.01035343948751688,
-0.07052552700042725,
-0.002884833374992013,
-0.05936228483915329,
0.07376255095005035,
0.006396051961928606,
0.03034559078514576,
0.028635311871767044,
-0.017254406586289406,
0.017382632941007614,
0.009070790372788906,
-0.07733672112226486,
-0.044535815715789795,
-0.07410652935504913,
0.14852245151996613,
-0.03434789925813675,
-0.022900134325027466,
0.049050770699977875,
0.06479690223932266,
0.027456453070044518,
-0.03847220167517662,
0.039617106318473816,
-0.04621070623397827,
-0.013502855785191059,
-0.05766855180263519,
0.02826233021914959,
-0.005239726509898901,
0.10154035687446594,
-0.031685225665569305,
-0.01017336267977953,
0.007993465289473534,
-0.021160650998353958,
-0.03247020021080971,
-0.02480086125433445,
0.019646987318992615,
-0.12478659301996231,
-0.03695162385702133,
0.0581788495182991,
-0.06668488681316376,
-0.04721932113170624,
0.013865533284842968,
-0.052446089684963226,
-0.04056992009282112,
0.03292209655046463,
-0.011068163439631462,
0.10090099275112152,
-0.03230204060673714,
0.10558953136205673,
0.05985650792717934,
0.010679949074983597,
0.02348092384636402,
-0.0727904811501503,
0.027829477563500404,
0.03384062647819519,
0.1127604991197586,
-0.020353710278868675,
0.04233785346150398,
0.0011177414562553167,
-0.036079104989767075,
0.03110824152827263,
0.10560010373592377,
-0.040470875799655914,
0.07187078893184662,
-0.040792934596538544,
0.02475721202790737,
-0.002209891565144062,
-0.046207476407289505,
0.001081021036952734,
-0.049660760909318924,
0.045073576271533966,
-0.008886529132723808,
0.03798624500632286,
-0.06202467903494835,
0.009478836320340633,
-0.001639868482016027,
0.018590489402413368,
0.16206587851047516,
-0.013203533366322517,
0.031363293528556824,
-0.04940062016248703,
-0.0331483818590641,
-0.02936101332306862,
-0.030795995146036148,
0.011267329566180706,
-0.0212933998554945,
-4.3165833574221324e-8,
-0.03175076097249985,
-0.010686433874070644,
-0.08862826973199844,
-0.003194448072463274,
0.036926042288541794,
-0.003612434957176447,
-0.027674512937664986,
0.0069474754855036736,
0.012546055018901825,
-0.04390296712517738,
0.06955290585756302,
0.0038918801583349705,
0.022670548409223557,
0.03049829974770546,
-0.006347661837935448,
-0.025034045800566673,
-0.054494794458150864,
-0.1219821646809578,
-0.0051291403360664845,
-0.038809649646282196,
0.02309592254459858,
-0.017901159822940826,
-0.024916337803006172,
0.03775463253259659,
0.023188035935163498,
-0.016593102365732193,
0.07348967343568802,
0.05586538836359978,
0.033262018114328384,
-0.0021216189488768578,
-0.029925335198640823,
-0.050177183002233505,
0.009859408251941204,
0.032042499631643295,
-0.015026425942778587,
0.037722524255514145,
-0.0014559649862349033,
-0.05523023009300232,
-0.012791765853762627,
0.11436547338962555,
-0.03749929741024971,
-0.13600914180278778,
-0.0066623263992369175,
0.07106959074735641,
0.026667892932891846,
0.040685366839170456,
0.04936271905899048,
0.0033069055061787367,
-0.020518112927675247,
0.010105274617671967,
0.03783673420548439,
-0.03009202890098095,
0.010670776478946209,
-0.036965519189834595,
0.015510362572968006,
-0.04365317150950432,
0.0646076500415802,
-0.04877732694149017,
0.02986428700387478,
-0.02993515133857727,
-0.08240851759910583,
0.0413653738796711,
-0.04240405559539795,
-0.05500894784927368
] |
1401.6267
|
Harun Rasit Er M.S.
|
Harun Rasit Er, Nadia Erdogan
|
Parallel Genetic Algorithm to Solve Traveling Salesman Problem on
MapReduce Framework using Hadoop Cluster
|
The International Journal of Soft Computing and Software Engineering
[JSCSE], Vol. 3, No. 3, Special Issue. The Proceeding of International
Conference on Soft Computing and Software Engineering 2013
| null |
10.7321/jscse.v3.n3.57
|
e-ISSN: 2251-7545
|
cs.DC cs.NE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Traveling Salesman Problem (TSP) is one of the most common studied problems
in combinatorial optimization. Given the list of cities and distances between
them, the problem is to find the shortest tour possible which visits all the
cities in list exactly once and ends in the city where it starts. Despite the
Traveling Salesman Problem is NP-Hard, a lot of methods and solutions are
proposed to the problem. One of them is Genetic Algorithm (GA). GA is a simple
but an efficient heuristic method that can be used to solve Traveling Salesman
Problem. In this paper, we will show a parallel genetic algorithm
implementation on MapReduce framework in order to solve Traveling Salesman
Problem. MapReduce is a framework used to support distributed computation on
clusters of computers. We used free licensed Hadoop implementation as MapReduce
framework.
|
[
{
"created": "Fri, 24 Jan 2014 06:59:08 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Er",
"Harun Rasit",
""
],
[
"Erdogan",
"Nadia",
""
]
] |
[
0.017802447080612183,
0.010943637229502201,
-0.008921641856431961,
-0.010808432474732399,
-0.05017230659723282,
-0.020265599712729454,
0.009967368096113205,
0.04381255432963371,
-0.10232651233673096,
0.06657431274652481,
-0.03171425685286522,
-0.02110137604176998,
0.024525022134184837,
0.011732945218682289,
-0.05361810326576233,
0.011092723347246647,
0.022212699055671692,
0.05875089392066002,
-0.011775159277021885,
-0.16331318020820618,
-0.06971477717161179,
0.009548429399728775,
-0.047438040375709534,
0.0018447265028953552,
0.012392458505928516,
0.09615746885538101,
0.06876051425933838,
-0.04538249969482422,
-0.004896692465990782,
0.06749757379293442,
0.008314159698784351,
0.010900541208684444,
0.0016195924254134297,
-0.021810099482536316,
-0.037508103996515274,
0.10684216767549515,
-0.10457420349121094,
-0.04255249723792076,
0.04991471767425537,
-0.01809580624103546,
0.039254430681467056,
0.022761592641472816,
-0.022362057119607925,
0.029782691970467567,
0.013875353150069714,
0.006322802510112524,
-0.005526581779122353,
0.10174521058797836,
0.08314051479101181,
0.02036832831799984,
-0.08850936591625214,
-0.03299805894494057,
-0.06954454630613327,
-0.05064757168292999,
-0.06784239411354065,
-0.017472771927714348,
0.006609391886740923,
-0.0633331760764122,
0.006511911749839783,
0.002708108862861991,
0.02111831307411194,
-0.06744089722633362,
0.032434575259685516,
-0.05525005981326103,
0.02638320066034794,
0.03437955677509308,
0.038087308406829834,
-0.01980569213628769,
0.05551622062921524,
-0.09406052529811859,
0.08588391542434692,
0.06840379536151886,
-0.027234800159931183,
0.10148029774427414,
0.030487090349197388,
0.010319716297090054,
0.04656241089105606,
0.020053930580615997,
-0.009447763673961163,
0.06682981550693512,
-0.03019755147397518,
-0.04931176081299782,
-0.03112521581351757,
0.0430065356194973,
-0.028314238414168358,
-0.031801048666238785,
0.009050470776855946,
-0.06348790973424911,
-0.0022238644305616617,
-0.0026167742908000946,
0.00826087687164545,
0.015602086670696735,
0.0300158504396677,
-0.02187693491578102,
-0.14361035823822021,
-0.03059316799044609,
-0.11052986234426498,
0.06523256748914719,
0.025796467438340187,
-0.0035090199671685696,
-0.031320735812187195,
0.003788298461586237,
0.13295334577560425,
-0.04127674177289009,
-0.035516031086444855,
0.03992151841521263,
0.08942853659391403,
-0.07158463448286057,
-0.0549892820417881,
-0.004973754286766052,
-0.07157514989376068,
0.06304217129945755,
0.0334835909307003,
0.04152662679553032,
-0.14347811043262482,
-0.009494074620306492,
-0.031348202377557755,
0.028456255793571472,
0.0031924345530569553,
0.13023127615451813,
-0.015346602536737919,
-0.09005120396614075,
0.05036488175392151,
-0.019403377547860146,
-0.01777123287320137,
-0.028864501044154167,
-0.03308620676398277,
1.0439003296416248e-33,
-0.13496001064777374,
-0.006040374748408794,
0.06469617784023285,
-0.029359744861721992,
0.06593639403581619,
-0.035378213971853256,
-0.04521078243851662,
-0.0421610102057457,
-0.09123098105192184,
-0.028987934812903404,
-0.019834009930491447,
-0.025716081261634827,
0.04714034125208855,
0.013909389264881611,
0.010841362178325653,
-0.014566407538950443,
0.028618166223168373,
0.028589919209480286,
0.008718665689229965,
-0.05118230730295181,
0.03736356273293495,
-0.010159357450902462,
0.017019789665937424,
0.014574813656508923,
0.09043906629085541,
-0.00724824471399188,
0.001962452894076705,
-0.037600863724946976,
0.0431433729827404,
0.019550414755940437,
0.014654012396931648,
0.072713203728199,
0.009372188709676266,
0.08899430930614471,
-0.02430739253759384,
0.05542687699198723,
-0.030086200684309006,
-0.025450414046645164,
0.01898837648332119,
0.08636195212602615,
-0.08281754702329636,
0.012061666697263718,
-0.0006444918690249324,
-0.01478669885545969,
-0.07464156299829483,
-0.021275723353028297,
0.008035408332943916,
0.0014216045383363962,
0.04154215008020401,
0.08199816197156906,
0.029554201290011406,
-0.05619936063885689,
0.0007967351120896637,
0.055530961602926254,
0.029670801013708115,
0.05399024114012718,
-0.029040366411209106,
-0.014457259327173233,
0.0532509870827198,
0.11102445423603058,
-0.015096156857907772,
0.007806810550391674,
0.017197981476783752,
0.033461205661296844,
0.05085678771138191,
-0.1111517995595932,
0.02534111589193344,
0.06957917660474777,
0.10352135449647903,
-0.042244818061590195,
0.041842542588710785,
-0.02592659369111061,
0.059908632189035416,
0.06580962240695953,
-0.0217156819999218,
0.017513079568743706,
0.013824814930558205,
0.03776318579912186,
-0.05426536500453949,
-0.09643766283988953,
-0.09941119700670242,
0.030091645196080208,
-0.08462386578321457,
-0.06022020801901817,
0.03691817820072174,
-0.03878404572606087,
-0.029097257182002068,
0.014936001971364021,
-0.0258192028850317,
-0.03836996853351593,
-0.09436142444610596,
-0.006521960254758596,
-0.043331705033779144,
-0.025728469714522362,
0.008418097160756588,
-1.5367152241288338e-33,
-0.10298743098974228,
-0.04597361013293266,
-0.007540985941886902,
0.07690184563398361,
0.028874194249510765,
-0.07685515284538269,
0.06729300320148468,
-0.09154482185840607,
0.027826707810163498,
0.04885261133313179,
-0.093684121966362,
-0.03471517190337181,
0.06475178152322769,
-0.008787686936557293,
-0.027571914717555046,
-0.00380907766520977,
0.11565153300762177,
-0.03454449400305748,
-0.039206989109516144,
0.030645599588751793,
-0.04407135024666786,
0.0828176736831665,
-0.06564054638147354,
-0.06416703015565872,
0.014159169048070908,
-0.04595539718866348,
-0.03860721364617348,
-0.026209115982055664,
0.000020857587514910847,
0.03854616358876228,
0.01786275953054428,
-0.0056707486510276794,
-0.0648776963353157,
-0.021185820922255516,
0.03799119591712952,
0.03447915241122246,
0.03587399423122406,
0.11342287808656693,
0.006493014749139547,
0.053366947919130325,
0.012810061685740948,
0.013886518776416779,
0.026094691827893257,
-0.03149690851569176,
-0.02251061610877514,
0.1083020344376564,
-0.04220490902662277,
0.06296045333147049,
0.019762877374887466,
-0.013290826231241226,
0.04189949482679367,
0.07072722911834717,
-0.005179200321435928,
0.045778416097164154,
0.04918272793292999,
0.016983313485980034,
0.04565705731511116,
0.018078291788697243,
-0.05978793278336525,
-0.017841391265392303,
-0.010239259339869022,
-0.13108275830745697,
0.09630072861909866,
0.08608649671077728,
0.013643048703670502,
-0.03995902091264725,
0.004248307552188635,
0.006005760747939348,
-0.007331130560487509,
-0.026804525405168533,
-0.05870787426829338,
0.06563935428857803,
0.06271795183420181,
0.03350210562348366,
-0.05651262402534485,
-0.020742952823638916,
-0.010147342458367348,
0.12054537981748581,
0.09111092239618301,
-0.020483285188674927,
0.022920046001672745,
-0.020853087306022644,
-0.01971445232629776,
-0.05082111805677414,
0.029758712276816368,
-0.07304476946592331,
0.04296490550041199,
0.0013231077464297414,
0.03930993005633354,
0.03165222704410553,
0.0114555349573493,
0.02642417699098587,
-0.012805747799575329,
-0.04982225224375725,
-0.07249947637319565,
-3.475819099207911e-8,
0.02320980839431286,
0.005599052179604769,
-0.002984951715916395,
0.023831911385059357,
0.04852588102221489,
-0.04259844124317169,
0.03725554794073105,
0.09851334244012833,
-0.044927630573511124,
0.055845215916633606,
0.020969778299331665,
-0.02050214633345604,
0.010509459301829338,
0.04624032974243164,
0.030061455443501472,
0.0014187764609232545,
0.013786119408905506,
-0.023176996037364006,
0.015163013711571693,
0.062207985669374466,
-0.06891413778066635,
0.017780262976884842,
-0.009687665849924088,
0.06428718566894531,
0.09176455438137054,
-0.014424780383706093,
0.04131663590669632,
-0.11777859181165695,
0.009849268943071365,
-0.06387447565793991,
-0.050720520317554474,
-0.011069727130234241,
-0.05599528178572655,
-0.03794475644826889,
0.03291673585772514,
-0.06507744640111923,
0.0009887387277558446,
0.055108778178691864,
-0.04202102869749069,
0.008686081506311893,
0.05660964921116829,
0.008986491709947586,
0.03210238367319107,
0.02800246886909008,
0.05486258491873741,
0.0013094795867800713,
0.08208797127008438,
0.039518799632787704,
0.02340569533407688,
0.00881646852940321,
-0.10699107497930527,
0.00026267702924087644,
-0.030083714053034782,
-0.027653994038701057,
0.04409041628241539,
-0.011042679660022259,
-0.0344737246632576,
-0.021206876263022423,
0.06228741630911827,
0.034184530377388,
-0.034474872052669525,
-0.022032935172319412,
-0.023600952699780464,
-0.051155637949705124
] | null | null | null | null | null | null | null |
[
0.017802447080612183,
0.010943637229502201,
-0.008921641856431961,
-0.010808432474732399,
-0.05017230659723282,
-0.020265599712729454,
0.009967368096113205,
0.04381255432963371,
-0.10232651233673096,
0.06657431274652481,
-0.03171425685286522,
-0.02110137604176998,
0.024525022134184837,
0.011732945218682289,
-0.05361810326576233,
0.011092723347246647,
0.022212699055671692,
0.05875089392066002,
-0.011775159277021885,
-0.16331318020820618,
-0.06971477717161179,
0.009548429399728775,
-0.047438040375709534,
0.0018447265028953552,
0.012392458505928516,
0.09615746885538101,
0.06876051425933838,
-0.04538249969482422,
-0.004896692465990782,
0.06749757379293442,
0.008314159698784351,
0.010900541208684444,
0.0016195924254134297,
-0.021810099482536316,
-0.037508103996515274,
0.10684216767549515,
-0.10457420349121094,
-0.04255249723792076,
0.04991471767425537,
-0.01809580624103546,
0.039254430681467056,
0.022761592641472816,
-0.022362057119607925,
0.029782691970467567,
0.013875353150069714,
0.006322802510112524,
-0.005526581779122353,
0.10174521058797836,
0.08314051479101181,
0.02036832831799984,
-0.08850936591625214,
-0.03299805894494057,
-0.06954454630613327,
-0.05064757168292999,
-0.06784239411354065,
-0.017472771927714348,
0.006609391886740923,
-0.0633331760764122,
0.006511911749839783,
0.002708108862861991,
0.02111831307411194,
-0.06744089722633362,
0.032434575259685516,
-0.05525005981326103,
0.02638320066034794,
0.03437955677509308,
0.038087308406829834,
-0.01980569213628769,
0.05551622062921524,
-0.09406052529811859,
0.08588391542434692,
0.06840379536151886,
-0.027234800159931183,
0.10148029774427414,
0.030487090349197388,
0.010319716297090054,
0.04656241089105606,
0.020053930580615997,
-0.009447763673961163,
0.06682981550693512,
-0.03019755147397518,
-0.04931176081299782,
-0.03112521581351757,
0.0430065356194973,
-0.028314238414168358,
-0.031801048666238785,
0.009050470776855946,
-0.06348790973424911,
-0.0022238644305616617,
-0.0026167742908000946,
0.00826087687164545,
0.015602086670696735,
0.0300158504396677,
-0.02187693491578102,
-0.14361035823822021,
-0.03059316799044609,
-0.11052986234426498,
0.06523256748914719,
0.025796467438340187,
-0.0035090199671685696,
-0.031320735812187195,
0.003788298461586237,
0.13295334577560425,
-0.04127674177289009,
-0.035516031086444855,
0.03992151841521263,
0.08942853659391403,
-0.07158463448286057,
-0.0549892820417881,
-0.004973754286766052,
-0.07157514989376068,
0.06304217129945755,
0.0334835909307003,
0.04152662679553032,
-0.14347811043262482,
-0.009494074620306492,
-0.031348202377557755,
0.028456255793571472,
0.0031924345530569553,
0.13023127615451813,
-0.015346602536737919,
-0.09005120396614075,
0.05036488175392151,
-0.019403377547860146,
-0.01777123287320137,
-0.028864501044154167,
-0.03308620676398277,
1.0439003296416248e-33,
-0.13496001064777374,
-0.006040374748408794,
0.06469617784023285,
-0.029359744861721992,
0.06593639403581619,
-0.035378213971853256,
-0.04521078243851662,
-0.0421610102057457,
-0.09123098105192184,
-0.028987934812903404,
-0.019834009930491447,
-0.025716081261634827,
0.04714034125208855,
0.013909389264881611,
0.010841362178325653,
-0.014566407538950443,
0.028618166223168373,
0.028589919209480286,
0.008718665689229965,
-0.05118230730295181,
0.03736356273293495,
-0.010159357450902462,
0.017019789665937424,
0.014574813656508923,
0.09043906629085541,
-0.00724824471399188,
0.001962452894076705,
-0.037600863724946976,
0.0431433729827404,
0.019550414755940437,
0.014654012396931648,
0.072713203728199,
0.009372188709676266,
0.08899430930614471,
-0.02430739253759384,
0.05542687699198723,
-0.030086200684309006,
-0.025450414046645164,
0.01898837648332119,
0.08636195212602615,
-0.08281754702329636,
0.012061666697263718,
-0.0006444918690249324,
-0.01478669885545969,
-0.07464156299829483,
-0.021275723353028297,
0.008035408332943916,
0.0014216045383363962,
0.04154215008020401,
0.08199816197156906,
0.029554201290011406,
-0.05619936063885689,
0.0007967351120896637,
0.055530961602926254,
0.029670801013708115,
0.05399024114012718,
-0.029040366411209106,
-0.014457259327173233,
0.0532509870827198,
0.11102445423603058,
-0.015096156857907772,
0.007806810550391674,
0.017197981476783752,
0.033461205661296844,
0.05085678771138191,
-0.1111517995595932,
0.02534111589193344,
0.06957917660474777,
0.10352135449647903,
-0.042244818061590195,
0.041842542588710785,
-0.02592659369111061,
0.059908632189035416,
0.06580962240695953,
-0.0217156819999218,
0.017513079568743706,
0.013824814930558205,
0.03776318579912186,
-0.05426536500453949,
-0.09643766283988953,
-0.09941119700670242,
0.030091645196080208,
-0.08462386578321457,
-0.06022020801901817,
0.03691817820072174,
-0.03878404572606087,
-0.029097257182002068,
0.014936001971364021,
-0.0258192028850317,
-0.03836996853351593,
-0.09436142444610596,
-0.006521960254758596,
-0.043331705033779144,
-0.025728469714522362,
0.008418097160756588,
-1.5367152241288338e-33,
-0.10298743098974228,
-0.04597361013293266,
-0.007540985941886902,
0.07690184563398361,
0.028874194249510765,
-0.07685515284538269,
0.06729300320148468,
-0.09154482185840607,
0.027826707810163498,
0.04885261133313179,
-0.093684121966362,
-0.03471517190337181,
0.06475178152322769,
-0.008787686936557293,
-0.027571914717555046,
-0.00380907766520977,
0.11565153300762177,
-0.03454449400305748,
-0.039206989109516144,
0.030645599588751793,
-0.04407135024666786,
0.0828176736831665,
-0.06564054638147354,
-0.06416703015565872,
0.014159169048070908,
-0.04595539718866348,
-0.03860721364617348,
-0.026209115982055664,
0.000020857587514910847,
0.03854616358876228,
0.01786275953054428,
-0.0056707486510276794,
-0.0648776963353157,
-0.021185820922255516,
0.03799119591712952,
0.03447915241122246,
0.03587399423122406,
0.11342287808656693,
0.006493014749139547,
0.053366947919130325,
0.012810061685740948,
0.013886518776416779,
0.026094691827893257,
-0.03149690851569176,
-0.02251061610877514,
0.1083020344376564,
-0.04220490902662277,
0.06296045333147049,
0.019762877374887466,
-0.013290826231241226,
0.04189949482679367,
0.07072722911834717,
-0.005179200321435928,
0.045778416097164154,
0.04918272793292999,
0.016983313485980034,
0.04565705731511116,
0.018078291788697243,
-0.05978793278336525,
-0.017841391265392303,
-0.010239259339869022,
-0.13108275830745697,
0.09630072861909866,
0.08608649671077728,
0.013643048703670502,
-0.03995902091264725,
0.004248307552188635,
0.006005760747939348,
-0.007331130560487509,
-0.026804525405168533,
-0.05870787426829338,
0.06563935428857803,
0.06271795183420181,
0.03350210562348366,
-0.05651262402534485,
-0.020742952823638916,
-0.010147342458367348,
0.12054537981748581,
0.09111092239618301,
-0.020483285188674927,
0.022920046001672745,
-0.020853087306022644,
-0.01971445232629776,
-0.05082111805677414,
0.029758712276816368,
-0.07304476946592331,
0.04296490550041199,
0.0013231077464297414,
0.03930993005633354,
0.03165222704410553,
0.0114555349573493,
0.02642417699098587,
-0.012805747799575329,
-0.04982225224375725,
-0.07249947637319565,
-3.475819099207911e-8,
0.02320980839431286,
0.005599052179604769,
-0.002984951715916395,
0.023831911385059357,
0.04852588102221489,
-0.04259844124317169,
0.03725554794073105,
0.09851334244012833,
-0.044927630573511124,
0.055845215916633606,
0.020969778299331665,
-0.02050214633345604,
0.010509459301829338,
0.04624032974243164,
0.030061455443501472,
0.0014187764609232545,
0.013786119408905506,
-0.023176996037364006,
0.015163013711571693,
0.062207985669374466,
-0.06891413778066635,
0.017780262976884842,
-0.009687665849924088,
0.06428718566894531,
0.09176455438137054,
-0.014424780383706093,
0.04131663590669632,
-0.11777859181165695,
0.009849268943071365,
-0.06387447565793991,
-0.050720520317554474,
-0.011069727130234241,
-0.05599528178572655,
-0.03794475644826889,
0.03291673585772514,
-0.06507744640111923,
0.0009887387277558446,
0.055108778178691864,
-0.04202102869749069,
0.008686081506311893,
0.05660964921116829,
0.008986491709947586,
0.03210238367319107,
0.02800246886909008,
0.05486258491873741,
0.0013094795867800713,
0.08208797127008438,
0.039518799632787704,
0.02340569533407688,
0.00881646852940321,
-0.10699107497930527,
0.00026267702924087644,
-0.030083714053034782,
-0.027653994038701057,
0.04409041628241539,
-0.011042679660022259,
-0.0344737246632576,
-0.021206876263022423,
0.06228741630911827,
0.034184530377388,
-0.034474872052669525,
-0.022032935172319412,
-0.023600952699780464,
-0.051155637949705124
] |
1401.6275
|
Hongyi Zeng
|
Hongyi Zeng, Wei Chen
|
Delay-Energy lower bound on Two-Way Relay Wireless Network Coding
| null | null | null | null |
cs.IT cs.NI math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Network coding is a novel solution that significantly improve the throughput
and energy consumed of wireless networks by mixing traffic flows through
algebraic operations. In conventional network coding scheme, a packet has to
wait for packets from other sources to be coded before transmitting. The
wait-and-code scheme will naturally result in packet loss rate in a finite
buffer. We will propose Enhanced Network Coding (ENC), an extension to ONC in
continuous time domain.
In ENC, the relay transmits both coded and uncoded packets to reduce delay.
In exchange, more energy is consumed in transmitting uncoded packets. ENC is a
practical algorithm to achieve minimal average delay and zero packet-loss rate
under given energy constraint. The system model for ENC on a general renewal
process queuing is presented. In particular, we will show that there exists a
fundamental trade-off between average delay and energy. We will also present
the analytic result of lower bound for this trade-off curve, which can be
achieved by ENC.
|
[
{
"created": "Fri, 24 Jan 2014 07:49:37 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Zeng",
"Hongyi",
""
],
[
"Chen",
"Wei",
""
]
] |
[
-0.015894029289484024,
-0.02078370563685894,
-0.012503685429692268,
0.04704736918210983,
-0.008258078247308731,
-0.01701703481376171,
0.03669586405158043,
-0.07068313658237457,
0.025560801848769188,
0.0803314819931984,
-0.026840317994356155,
0.06348272413015366,
-0.006769254803657532,
-0.060346819460392,
0.012818270362913609,
0.024885177612304688,
0.08403041213750839,
-0.023257670924067497,
-0.058538131415843964,
-0.029280001297593117,
0.1021428182721138,
-0.019901854917407036,
0.029240043833851814,
0.003932342864573002,
0.07646211981773376,
-0.04172850772738457,
-0.01975545473396778,
-0.0017483884003013372,
0.013864199630916119,
0.06497310847043991,
-0.0271134115755558,
-0.06083262711763382,
0.008607620373368263,
-0.016610413789749146,
-0.005849819630384445,
-0.00041262852028012276,
-0.05975446477532387,
0.03951181471347809,
-0.0427735261619091,
0.08058667182922363,
-0.06001201272010803,
-0.007638025097548962,
-0.02533470094203949,
0.08225958049297333,
-0.10384746640920639,
-0.05274767428636551,
-0.014554647728800774,
-0.014976417645812035,
-0.003244129242375493,
-0.09533914178609848,
0.12498940527439117,
0.04088357463479042,
-0.031094923615455627,
0.023515356704592705,
0.0676259770989418,
-0.051759421825408936,
-0.05093739926815033,
-0.013236640952527523,
-0.012378995306789875,
0.0908762663602829,
0.02940336987376213,
0.005036467220634222,
0.03715816140174866,
0.03903410956263542,
-0.014065994881093502,
-0.01544981449842453,
0.00892691034823656,
0.09834238886833191,
-0.039244648069143295,
-0.02956514060497284,
-0.04088689014315605,
-0.03974843770265579,
0.009471002966165543,
0.08240732550621033,
0.08364293724298477,
-0.03861343488097191,
0.03450290486216545,
0.05017859861254692,
-0.05808151885867119,
0.022574294358491898,
0.06074948608875275,
0.024549640715122223,
-0.020987719297409058,
0.017036771401762962,
0.03743468597531319,
-0.016525669023394585,
0.02502257376909256,
0.07801875472068787,
0.04072479158639908,
0.005724160932004452,
-0.055091410875320435,
0.02254144474864006,
0.019959503784775734,
0.04364190250635147,
-0.02517428994178772,
-0.010018091648817062,
-0.04412500187754631,
0.009080863557755947,
-0.06807325035333633,
0.027062885463237762,
0.006410833913832903,
-0.026957174763083458,
-0.014709887094795704,
-0.019025878980755806,
0.04249860718846321,
-0.029058795422315598,
0.0455784946680069,
0.16251733899116516,
0.04982180893421173,
0.09415087103843689,
0.0023496360518038273,
-0.01126518938690424,
-0.03333934023976326,
-0.006763562094420195,
-0.07557618618011475,
0.09796864539384842,
0.005124673247337341,
-0.007198318373411894,
0.023194096982479095,
-0.004493775777518749,
0.0016854210989549756,
-0.04097360000014305,
-0.06286714226007462,
-0.0911724865436554,
0.010602414608001709,
-0.014240439049899578,
0.06724206358194351,
1.1878636737998073e-33,
-0.0720759853720665,
-0.04772137477993965,
-0.10748959332704544,
-0.050640884786844254,
-0.013078209012746811,
0.03465917333960533,
0.06557230651378632,
-0.016731884330511093,
-0.020056143403053284,
-0.01789347641170025,
-0.05010330304503441,
-0.06322959810495377,
-0.004768073093146086,
0.008278092369437218,
-0.08464280515909195,
-0.06717266142368317,
-0.010761831887066364,
0.009695763699710369,
0.11081311106681824,
-0.008169036358594894,
0.05030355602502823,
-0.07096491754055023,
-0.029621277004480362,
-0.001390928984619677,
-0.0334123820066452,
-0.04198143631219864,
-0.049623046070337296,
-0.14371749758720398,
0.051854394376277924,
0.007171961013227701,
-0.006511347368359566,
-0.04888875037431717,
-0.0010182411642745137,
-0.06200649216771126,
-0.05952191725373268,
0.018628695979714394,
0.063973069190979,
-0.01892925426363945,
0.05189473181962967,
0.030036387965083122,
-0.03142677992582321,
0.006695611868053675,
-0.06267595291137695,
-0.07688921689987183,
-0.008094006218016148,
-0.10075810551643372,
-0.013212017714977264,
0.04377606883645058,
-0.12852559983730316,
0.0432092510163784,
0.10896693170070648,
0.009831199422478676,
0.03733755648136139,
-0.010183935053646564,
0.0465596541762352,
-0.017672579735517502,
0.03818140923976898,
0.052854713052511215,
0.03516232967376709,
0.1041414812207222,
0.010139626450836658,
-0.04406403377652168,
0.009868022985756397,
-0.080042764544487,
0.09198160469532013,
-0.011242355220019817,
-0.04556100070476532,
-0.06308766454458237,
-0.017305482178926468,
0.010728683322668076,
-0.009687284007668495,
-0.05017365887761116,
-0.008516408503055573,
0.042613349854946136,
0.03643444553017616,
0.05719457566738129,
-0.0014670566888526082,
-0.06021491065621376,
-0.08042076230049133,
0.02444944903254509,
-0.007060282863676548,
-0.005230500362813473,
-0.030655045062303543,
0.018736306577920914,
0.02254295162856579,
-0.08650601655244827,
-0.010823648422956467,
0.024451540783047676,
-0.09411180764436722,
0.0267264973372221,
-0.09161984175443649,
0.006574178114533424,
0.03347107023000717,
-0.04683941230177879,
0.06016203761100769,
-1.2313204142527611e-33,
0.019488908350467682,
0.09674365818500519,
-0.030996765941381454,
0.09444966912269592,
0.01165138091892004,
-0.043909840285778046,
0.03155398741364479,
-0.016648028045892715,
-0.0584699884057045,
0.030974972993135452,
-0.018250135704874992,
-0.06370275467634201,
-0.014245573431253433,
0.013705603778362274,
0.11761240661144257,
-0.11252263933420181,
-0.03856881335377693,
0.006107605993747711,
-0.015165929682552814,
0.046297378838062286,
0.0016656043007969856,
0.08307084441184998,
-0.056772880256175995,
-0.05129570513963699,
0.020147528499364853,
0.06377313286066055,
-0.010868984274566174,
0.10132834315299988,
-0.018629658967256546,
-0.03421155735850334,
-0.011130535043776035,
-0.08509145677089691,
0.05718369409441948,
-0.0335690975189209,
0.0485713854432106,
0.07514260709285736,
0.10883613675832748,
0.04640418291091919,
-0.025788944214582443,
0.05642106384038925,
0.09429098665714264,
-0.07688102126121521,
0.028114890679717064,
0.07274874299764633,
-0.015519312582910061,
-0.021220853552222252,
-0.09094849973917007,
0.019780727103352547,
-0.01892976276576519,
0.029312293976545334,
0.07828742265701294,
0.017169244587421417,
0.020396078005433083,
0.02768128551542759,
0.05402768403291702,
-0.014210864901542664,
-0.012254195287823677,
0.008970721624791622,
0.05062423646450043,
0.019927717745304108,
0.07142642140388489,
-0.09257706254720688,
0.10050812363624573,
0.002668850589543581,
0.0406126007437706,
-0.08205175399780273,
0.00218737730756402,
-0.021215779706835747,
-0.06356168538331985,
-0.07969843596220016,
0.014397826977074146,
0.04521453008055687,
-0.05061326175928116,
0.03457517549395561,
0.04205310344696045,
-0.027313949540257454,
0.07542432844638824,
0.05324685573577881,
-0.03257831558585167,
0.0505707673728466,
-0.13457836210727692,
0.03563215956091881,
-0.04995289817452431,
-0.017616450786590576,
0.0717248022556305,
0.008919368498027325,
0.023775281384587288,
-0.08819462358951569,
-0.008927673101425171,
-0.040087562054395676,
-0.04632772132754326,
0.04259506240487099,
0.009087417274713516,
0.017987923696637154,
-0.02553376369178295,
-4.232418504557245e-8,
-0.05943403020501137,
-0.0190412700176239,
0.018536368384957314,
-0.04159095883369446,
0.03986990824341774,
0.03271060064435005,
-0.008082330226898193,
-0.0222758986055851,
0.02476576156914234,
0.005657539702951908,
0.0977630466222763,
0.053933002054691315,
0.04691897705197334,
0.01852058246731758,
0.025833124294877052,
0.022666703909635544,
-0.042563531547784805,
-0.1234235018491745,
0.003964065574109554,
0.020987216383218765,
-0.010355805046856403,
0.012606537900865078,
-0.08000694960355759,
-0.012298853136599064,
-0.05489576235413551,
0.012381520122289658,
0.12499046325683594,
0.036591626703739166,
0.025725334882736206,
-0.019441207870841026,
-0.05612741783261299,
0.0041672419756650925,
0.06736982613801956,
0.005461917258799076,
-0.03285667300224304,
-0.07919374853372574,
-0.02507566660642624,
-0.011270182207226753,
-0.018179582431912422,
0.009271057322621346,
0.05210241675376892,
-0.07098091393709183,
0.016209101304411888,
-0.04444202035665512,
0.005317226983606815,
-0.05499793589115143,
0.00010477499017724767,
0.10899752378463745,
-0.07908853143453598,
0.018245847895741463,
0.016314150765538216,
0.02713404782116413,
-0.04768863320350647,
-0.0011472594924271107,
0.008471568115055561,
-0.08816132694482803,
0.00836833193898201,
-0.0684250146150589,
0.055332887917757034,
0.04283548519015312,
-0.02996206283569336,
0.05609741806983948,
-0.07087314128875732,
-0.0074861119501292706
] | null | null | null | null | null | null | null |
[
-0.015894029289484024,
-0.02078370563685894,
-0.012503685429692268,
0.04704736918210983,
-0.008258078247308731,
-0.01701703481376171,
0.03669586405158043,
-0.07068313658237457,
0.025560801848769188,
0.0803314819931984,
-0.026840317994356155,
0.06348272413015366,
-0.006769254803657532,
-0.060346819460392,
0.012818270362913609,
0.024885177612304688,
0.08403041213750839,
-0.023257670924067497,
-0.058538131415843964,
-0.029280001297593117,
0.1021428182721138,
-0.019901854917407036,
0.029240043833851814,
0.003932342864573002,
0.07646211981773376,
-0.04172850772738457,
-0.01975545473396778,
-0.0017483884003013372,
0.013864199630916119,
0.06497310847043991,
-0.0271134115755558,
-0.06083262711763382,
0.008607620373368263,
-0.016610413789749146,
-0.005849819630384445,
-0.00041262852028012276,
-0.05975446477532387,
0.03951181471347809,
-0.0427735261619091,
0.08058667182922363,
-0.06001201272010803,
-0.007638025097548962,
-0.02533470094203949,
0.08225958049297333,
-0.10384746640920639,
-0.05274767428636551,
-0.014554647728800774,
-0.014976417645812035,
-0.003244129242375493,
-0.09533914178609848,
0.12498940527439117,
0.04088357463479042,
-0.031094923615455627,
0.023515356704592705,
0.0676259770989418,
-0.051759421825408936,
-0.05093739926815033,
-0.013236640952527523,
-0.012378995306789875,
0.0908762663602829,
0.02940336987376213,
0.005036467220634222,
0.03715816140174866,
0.03903410956263542,
-0.014065994881093502,
-0.01544981449842453,
0.00892691034823656,
0.09834238886833191,
-0.039244648069143295,
-0.02956514060497284,
-0.04088689014315605,
-0.03974843770265579,
0.009471002966165543,
0.08240732550621033,
0.08364293724298477,
-0.03861343488097191,
0.03450290486216545,
0.05017859861254692,
-0.05808151885867119,
0.022574294358491898,
0.06074948608875275,
0.024549640715122223,
-0.020987719297409058,
0.017036771401762962,
0.03743468597531319,
-0.016525669023394585,
0.02502257376909256,
0.07801875472068787,
0.04072479158639908,
0.005724160932004452,
-0.055091410875320435,
0.02254144474864006,
0.019959503784775734,
0.04364190250635147,
-0.02517428994178772,
-0.010018091648817062,
-0.04412500187754631,
0.009080863557755947,
-0.06807325035333633,
0.027062885463237762,
0.006410833913832903,
-0.026957174763083458,
-0.014709887094795704,
-0.019025878980755806,
0.04249860718846321,
-0.029058795422315598,
0.0455784946680069,
0.16251733899116516,
0.04982180893421173,
0.09415087103843689,
0.0023496360518038273,
-0.01126518938690424,
-0.03333934023976326,
-0.006763562094420195,
-0.07557618618011475,
0.09796864539384842,
0.005124673247337341,
-0.007198318373411894,
0.023194096982479095,
-0.004493775777518749,
0.0016854210989549756,
-0.04097360000014305,
-0.06286714226007462,
-0.0911724865436554,
0.010602414608001709,
-0.014240439049899578,
0.06724206358194351,
1.1878636737998073e-33,
-0.0720759853720665,
-0.04772137477993965,
-0.10748959332704544,
-0.050640884786844254,
-0.013078209012746811,
0.03465917333960533,
0.06557230651378632,
-0.016731884330511093,
-0.020056143403053284,
-0.01789347641170025,
-0.05010330304503441,
-0.06322959810495377,
-0.004768073093146086,
0.008278092369437218,
-0.08464280515909195,
-0.06717266142368317,
-0.010761831887066364,
0.009695763699710369,
0.11081311106681824,
-0.008169036358594894,
0.05030355602502823,
-0.07096491754055023,
-0.029621277004480362,
-0.001390928984619677,
-0.0334123820066452,
-0.04198143631219864,
-0.049623046070337296,
-0.14371749758720398,
0.051854394376277924,
0.007171961013227701,
-0.006511347368359566,
-0.04888875037431717,
-0.0010182411642745137,
-0.06200649216771126,
-0.05952191725373268,
0.018628695979714394,
0.063973069190979,
-0.01892925426363945,
0.05189473181962967,
0.030036387965083122,
-0.03142677992582321,
0.006695611868053675,
-0.06267595291137695,
-0.07688921689987183,
-0.008094006218016148,
-0.10075810551643372,
-0.013212017714977264,
0.04377606883645058,
-0.12852559983730316,
0.0432092510163784,
0.10896693170070648,
0.009831199422478676,
0.03733755648136139,
-0.010183935053646564,
0.0465596541762352,
-0.017672579735517502,
0.03818140923976898,
0.052854713052511215,
0.03516232967376709,
0.1041414812207222,
0.010139626450836658,
-0.04406403377652168,
0.009868022985756397,
-0.080042764544487,
0.09198160469532013,
-0.011242355220019817,
-0.04556100070476532,
-0.06308766454458237,
-0.017305482178926468,
0.010728683322668076,
-0.009687284007668495,
-0.05017365887761116,
-0.008516408503055573,
0.042613349854946136,
0.03643444553017616,
0.05719457566738129,
-0.0014670566888526082,
-0.06021491065621376,
-0.08042076230049133,
0.02444944903254509,
-0.007060282863676548,
-0.005230500362813473,
-0.030655045062303543,
0.018736306577920914,
0.02254295162856579,
-0.08650601655244827,
-0.010823648422956467,
0.024451540783047676,
-0.09411180764436722,
0.0267264973372221,
-0.09161984175443649,
0.006574178114533424,
0.03347107023000717,
-0.04683941230177879,
0.06016203761100769,
-1.2313204142527611e-33,
0.019488908350467682,
0.09674365818500519,
-0.030996765941381454,
0.09444966912269592,
0.01165138091892004,
-0.043909840285778046,
0.03155398741364479,
-0.016648028045892715,
-0.0584699884057045,
0.030974972993135452,
-0.018250135704874992,
-0.06370275467634201,
-0.014245573431253433,
0.013705603778362274,
0.11761240661144257,
-0.11252263933420181,
-0.03856881335377693,
0.006107605993747711,
-0.015165929682552814,
0.046297378838062286,
0.0016656043007969856,
0.08307084441184998,
-0.056772880256175995,
-0.05129570513963699,
0.020147528499364853,
0.06377313286066055,
-0.010868984274566174,
0.10132834315299988,
-0.018629658967256546,
-0.03421155735850334,
-0.011130535043776035,
-0.08509145677089691,
0.05718369409441948,
-0.0335690975189209,
0.0485713854432106,
0.07514260709285736,
0.10883613675832748,
0.04640418291091919,
-0.025788944214582443,
0.05642106384038925,
0.09429098665714264,
-0.07688102126121521,
0.028114890679717064,
0.07274874299764633,
-0.015519312582910061,
-0.021220853552222252,
-0.09094849973917007,
0.019780727103352547,
-0.01892976276576519,
0.029312293976545334,
0.07828742265701294,
0.017169244587421417,
0.020396078005433083,
0.02768128551542759,
0.05402768403291702,
-0.014210864901542664,
-0.012254195287823677,
0.008970721624791622,
0.05062423646450043,
0.019927717745304108,
0.07142642140388489,
-0.09257706254720688,
0.10050812363624573,
0.002668850589543581,
0.0406126007437706,
-0.08205175399780273,
0.00218737730756402,
-0.021215779706835747,
-0.06356168538331985,
-0.07969843596220016,
0.014397826977074146,
0.04521453008055687,
-0.05061326175928116,
0.03457517549395561,
0.04205310344696045,
-0.027313949540257454,
0.07542432844638824,
0.05324685573577881,
-0.03257831558585167,
0.0505707673728466,
-0.13457836210727692,
0.03563215956091881,
-0.04995289817452431,
-0.017616450786590576,
0.0717248022556305,
0.008919368498027325,
0.023775281384587288,
-0.08819462358951569,
-0.008927673101425171,
-0.040087562054395676,
-0.04632772132754326,
0.04259506240487099,
0.009087417274713516,
0.017987923696637154,
-0.02553376369178295,
-4.232418504557245e-8,
-0.05943403020501137,
-0.0190412700176239,
0.018536368384957314,
-0.04159095883369446,
0.03986990824341774,
0.03271060064435005,
-0.008082330226898193,
-0.0222758986055851,
0.02476576156914234,
0.005657539702951908,
0.0977630466222763,
0.053933002054691315,
0.04691897705197334,
0.01852058246731758,
0.025833124294877052,
0.022666703909635544,
-0.042563531547784805,
-0.1234235018491745,
0.003964065574109554,
0.020987216383218765,
-0.010355805046856403,
0.012606537900865078,
-0.08000694960355759,
-0.012298853136599064,
-0.05489576235413551,
0.012381520122289658,
0.12499046325683594,
0.036591626703739166,
0.025725334882736206,
-0.019441207870841026,
-0.05612741783261299,
0.0041672419756650925,
0.06736982613801956,
0.005461917258799076,
-0.03285667300224304,
-0.07919374853372574,
-0.02507566660642624,
-0.011270182207226753,
-0.018179582431912422,
0.009271057322621346,
0.05210241675376892,
-0.07098091393709183,
0.016209101304411888,
-0.04444202035665512,
0.005317226983606815,
-0.05499793589115143,
0.00010477499017724767,
0.10899752378463745,
-0.07908853143453598,
0.018245847895741463,
0.016314150765538216,
0.02713404782116413,
-0.04768863320350647,
-0.0011472594924271107,
0.008471568115055561,
-0.08816132694482803,
0.00836833193898201,
-0.0684250146150589,
0.055332887917757034,
0.04283548519015312,
-0.02996206283569336,
0.05609741806983948,
-0.07087314128875732,
-0.0074861119501292706
] |
1401.6290
|
Ghazal Riahi
|
Ghazal Riahi
|
A Security Plan for Smart Grid Systems Based On AGC4ISR
|
The International Journal of Soft Computing and Software Engineering
[JSCSE], Vol. 3, No. 3, Special Issue
|
International Journal of Soft Computing and Software Engineering
[JSCSE], Vol. 3, No. 3, 2013 pp.760-768
|
10.7321/jscse.v3.n3.115
| null |
cs.CR cs.NI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper is proposed a security plan for Smart Grid Systems based on
AGC4ISR which is an architecture for Autonomic Grid Computing Systems. Smart
Grid incorporates has many benefits of distributed computing and communications
to deliver a real-time information and enable the near-instantaneous balance of
supply and demand at the device level. AGC4ISR architecture is Organized by
Autonomic Grid Computing and C4ISR (Command, Control, Communications, Computers
and Intelligence, Surveillance, & Reconnaissance) Architecture. In this paper
we will present a solution for as security plan which will be consider
encryption, intrusion detection, key management and detail of cyber security in
Smart Grids. In this paper we use the cryptography for the packet in the C4ISR
and we use a key management for send and receive a packet in the smart grid
because it is necessary for intelligent networks to keeping away from packet
missing.
|
[
{
"created": "Fri, 24 Jan 2014 09:08:30 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Riahi",
"Ghazal",
""
]
] |
[
-0.07820207625627518,
0.09672749042510986,
-0.04229971766471863,
0.0032881537918001413,
0.028136491775512695,
0.012316451407968998,
0.08448228985071182,
0.0041556889191269875,
0.024371985346078873,
0.0549902506172657,
-0.04007573425769806,
-0.007871929556131363,
0.02802075259387493,
-0.0427965484559536,
-0.023872505873441696,
-0.0510924868285656,
0.04800121858716011,
-0.05683407559990883,
-0.044364336878061295,
-0.10544811189174652,
-0.045162688940763474,
-0.08242546766996384,
-0.0455358512699604,
-0.06388702243566513,
-0.015685193240642548,
0.0035949144512414932,
0.017451297491788864,
0.0006299751112237573,
-0.08102982491254807,
0.04254032298922539,
0.019473765045404434,
-0.02918199636042118,
0.06640908867120743,
0.043150778859853745,
-0.08469565957784653,
-0.03886019065976143,
0.06776600331068039,
0.06299085170030594,
0.060177285224199295,
-0.07160208374261856,
0.04723739996552467,
-0.08433971554040909,
-0.08886316418647766,
0.03209197148680687,
-0.06721165031194687,
0.05830737575888634,
-0.01163479220122099,
-0.038904789835214615,
0.021900197491049767,
-0.021395815536379814,
-0.04302298650145531,
0.003959395457059145,
-0.03008524514734745,
0.036281973123550415,
-0.01572738029062748,
0.013375641778111458,
-0.06067442148923874,
-0.07828690856695175,
0.0868993028998375,
0.06796368211507797,
0.02904776856303215,
-0.06460335105657578,
-0.022368483245372772,
0.0659196749329567,
-0.06369223445653915,
0.06265360116958618,
0.054306820034980774,
0.022994758561253548,
0.022367611527442932,
-0.02499658428132534,
0.019224710762500763,
0.004240476526319981,
0.005739596206694841,
0.0035502209793776274,
-0.0384494885802269,
-0.014726116321980953,
-0.05265861749649048,
-0.097788505256176,
-0.0022295662201941013,
0.015630850568413734,
0.0024846887681633234,
0.10060225427150726,
-0.022162379696965218,
0.033705808222293854,
-0.02538040652871132,
0.039820123463869095,
-0.01944248005747795,
-0.08223415911197662,
0.050395190715789795,
-0.04866883158683777,
0.05479515343904495,
-0.0015914582181721926,
0.0005602211458608508,
0.049071427434682846,
0.07913848757743835,
0.03697967529296875,
0.017355073243379593,
-0.12215078622102737,
-0.03802808001637459,
0.0031292904168367386,
-0.04004720598459244,
-0.029125956818461418,
0.025625081732869148,
-0.09792736172676086,
0.09542205929756165,
0.034664835780858994,
-0.018451038748025894,
-0.019335558637976646,
0.024085121229290962,
0.0636008232831955,
-0.03295571357011795,
0.048159148544073105,
-0.04421694949269295,
-0.029560210183262825,
0.01953716203570366,
0.03833341971039772,
0.022090723738074303,
0.06809951364994049,
0.01438218541443348,
-0.020058168098330498,
0.028300393372774124,
-0.03708431124687195,
0.0676567554473877,
-0.003069706493988633,
0.10130619257688522,
-0.0035865900572389364,
-0.026504673063755035,
-1.1419581398418008e-33,
-0.10500780493021011,
0.07179612666368484,
-0.03658772259950638,
-0.027364514768123627,
0.06714282184839249,
0.009504937566816807,
0.09833632409572601,
0.05776805803179741,
0.03987351804971695,
0.0460546538233757,
-0.04077562317252159,
-0.023543329909443855,
0.030246645212173462,
0.001348569174297154,
0.004419923759996891,
0.008084304630756378,
0.05234218016266823,
-0.018780147656798363,
0.1149045005440712,
-0.025990096852183342,
0.02561851032078266,
-0.022806139662861824,
0.08574377745389938,
-0.008524931967258453,
0.08243116736412048,
0.00012872196384705603,
0.025499818846583366,
-0.05140316113829613,
0.09062958508729935,
0.015377067029476166,
0.018528759479522705,
0.10383211076259613,
0.01966322958469391,
0.020292723551392555,
0.01509163435548544,
0.00627264566719532,
-0.05330662056803703,
-0.004703263286501169,
-0.003810400143265724,
-0.02053874544799328,
-0.031116224825382233,
-0.013399884104728699,
-0.026516664773225784,
-0.0722370445728302,
-0.0021028192713856697,
-0.027374260127544403,
-0.01680254563689232,
0.02149607427418232,
-0.008185922168195248,
0.02399793080985546,
0.023041965439915657,
0.013084078207612038,
0.02045375108718872,
0.04055250436067581,
0.03871820494532585,
-0.0056190635077655315,
-0.03447053208947182,
-0.036656979471445084,
0.02711542323231697,
0.06922820210456848,
-0.037229616194963455,
-0.01174390222877264,
0.007677174173295498,
0.013423954136669636,
0.07027283310890198,
-0.042318738996982574,
-0.0019963933154940605,
-0.009635643102228642,
-0.05517005920410156,
0.04290444776415825,
0.04736373573541641,
-0.10815180093050003,
0.009327240288257599,
0.07293479144573212,
0.029070783406496048,
0.02587907388806343,
-0.030502641573548317,
0.009142369963228703,
-0.02413109876215458,
-0.0704859271645546,
-0.06242019310593605,
0.0742926150560379,
0.05776659771800041,
0.06893689930438995,
0.02661043405532837,
-0.03112035244703293,
-0.05355382710695267,
0.05110255256295204,
-0.01663803681731224,
-0.034590136259794235,
-0.04266057163476944,
-0.042293619364500046,
0.04163122549653053,
0.0377780981361866,
-0.07934582978487015,
-1.4243319948829728e-33,
-0.01005073543637991,
0.05593453347682953,
-0.08935331553220749,
0.08081777393817902,
0.0007734491373412311,
-0.004585865419358015,
-0.013330448418855667,
0.03086344338953495,
-0.04033644497394562,
0.04509773105382919,
-0.01695876196026802,
-0.019344307482242584,
0.06282520294189453,
-0.02380175143480301,
0.06681690365076065,
-0.0049367547035217285,
-0.048768527805805206,
-0.009452561847865582,
-0.09471359848976135,
0.03557511046528816,
-0.08226075023412704,
0.03563127666711807,
-0.03820977360010147,
-0.02029937133193016,
0.08467788994312286,
0.028200427070260048,
-0.0037915834691375494,
0.1123536080121994,
-0.05010175332427025,
0.011314521543681622,
-0.03564782440662384,
-0.01680963858962059,
0.032044969499111176,
-0.05489214509725571,
0.01261818129569292,
-0.05708641931414604,
0.06203486770391464,
0.03835632652044296,
-0.021039504557847977,
0.055945929139852524,
0.0866478979587555,
-0.05791380628943443,
0.02166999876499176,
-0.008460386656224728,
-0.03606860339641571,
-0.09892694652080536,
0.035738781094551086,
0.18303567171096802,
-0.03510868176817894,
0.0047171409241855145,
-0.008746722713112831,
-0.03876928612589836,
-0.029889915138483047,
0.011626826599240303,
0.033417969942092896,
0.05836297571659088,
0.0628766193985939,
0.07294511795043945,
-0.06922775506973267,
-0.0018307919381186366,
-0.00135114009026438,
-0.10394594818353653,
0.13204887509346008,
0.11502830684185028,
0.08852580934762955,
0.008758083917200565,
-0.0008469750173389912,
0.01473119668662548,
-0.047808680683374405,
-0.008972501382231712,
0.057722095400094986,
-0.027326228097081184,
-0.060691896826028824,
0.006416451185941696,
0.04049147665500641,
-0.032377976924180984,
-0.006845497991889715,
-0.032082829624414444,
-0.008822626434266567,
0.024679269641637802,
-0.003979548811912537,
0.011082619428634644,
-0.06697659194469452,
-0.020494721829891205,
-0.03043084591627121,
-0.028381938114762306,
0.10072076320648193,
-0.08913426846265793,
0.0497145913541317,
-0.01553153432905674,
-0.03723953291773796,
-0.020382072776556015,
-0.05568377673625946,
0.08636223524808884,
0.015111204236745834,
-3.741029530601736e-8,
0.028744468465447426,
0.12373176217079163,
0.035025544464588165,
-0.04672965779900551,
-0.031358618289232254,
0.005820175167173147,
-0.046659260988235474,
-0.10276519507169724,
-0.029177069664001465,
-0.024801313877105713,
0.027935508638620377,
-0.03555580601096153,
-0.011418723501265049,
-0.0403221994638443,
-0.03162004053592682,
-0.039437390863895416,
-0.05072079226374626,
-0.0797959566116333,
-0.020868942141532898,
-0.04071751981973648,
0.03342897444963455,
-0.06653671711683273,
-0.06681473553180695,
0.05777018889784813,
0.04723925516009331,
0.010697565041482449,
0.04314202070236206,
-0.02468612976372242,
0.00009502831380814314,
0.08447544276714325,
-0.0876818299293518,
-0.05139666423201561,
0.09502541273832321,
-0.007077124901115894,
-0.027286749333143234,
0.03173089399933815,
0.007045282516628504,
-0.12024737149477005,
0.06718206405639648,
-0.014246598817408085,
-0.042797401547431946,
-0.07691892981529236,
-0.019622256979346275,
-0.027153441682457924,
-0.11121543496847153,
-0.005027350503951311,
-0.0341523140668869,
-0.0344185046851635,
0.041123274713754654,
0.0805869773030281,
-0.009438520297408104,
0.022119244560599327,
0.0008436026400886476,
0.028545906767249107,
0.007586388383060694,
-0.01653784140944481,
-0.05260130763053894,
-0.06844902038574219,
0.11763997375965118,
0.0742310881614685,
-0.027720395475625992,
0.029875753447413445,
-0.1237049400806427,
-0.010378294624388218
] | null | null | null | null | null | null | null |
[
-0.07820207625627518,
0.09672749042510986,
-0.04229971766471863,
0.0032881537918001413,
0.028136491775512695,
0.012316451407968998,
0.08448228985071182,
0.0041556889191269875,
0.024371985346078873,
0.0549902506172657,
-0.04007573425769806,
-0.007871929556131363,
0.02802075259387493,
-0.0427965484559536,
-0.023872505873441696,
-0.0510924868285656,
0.04800121858716011,
-0.05683407559990883,
-0.044364336878061295,
-0.10544811189174652,
-0.045162688940763474,
-0.08242546766996384,
-0.0455358512699604,
-0.06388702243566513,
-0.015685193240642548,
0.0035949144512414932,
0.017451297491788864,
0.0006299751112237573,
-0.08102982491254807,
0.04254032298922539,
0.019473765045404434,
-0.02918199636042118,
0.06640908867120743,
0.043150778859853745,
-0.08469565957784653,
-0.03886019065976143,
0.06776600331068039,
0.06299085170030594,
0.060177285224199295,
-0.07160208374261856,
0.04723739996552467,
-0.08433971554040909,
-0.08886316418647766,
0.03209197148680687,
-0.06721165031194687,
0.05830737575888634,
-0.01163479220122099,
-0.038904789835214615,
0.021900197491049767,
-0.021395815536379814,
-0.04302298650145531,
0.003959395457059145,
-0.03008524514734745,
0.036281973123550415,
-0.01572738029062748,
0.013375641778111458,
-0.06067442148923874,
-0.07828690856695175,
0.0868993028998375,
0.06796368211507797,
0.02904776856303215,
-0.06460335105657578,
-0.022368483245372772,
0.0659196749329567,
-0.06369223445653915,
0.06265360116958618,
0.054306820034980774,
0.022994758561253548,
0.022367611527442932,
-0.02499658428132534,
0.019224710762500763,
0.004240476526319981,
0.005739596206694841,
0.0035502209793776274,
-0.0384494885802269,
-0.014726116321980953,
-0.05265861749649048,
-0.097788505256176,
-0.0022295662201941013,
0.015630850568413734,
0.0024846887681633234,
0.10060225427150726,
-0.022162379696965218,
0.033705808222293854,
-0.02538040652871132,
0.039820123463869095,
-0.01944248005747795,
-0.08223415911197662,
0.050395190715789795,
-0.04866883158683777,
0.05479515343904495,
-0.0015914582181721926,
0.0005602211458608508,
0.049071427434682846,
0.07913848757743835,
0.03697967529296875,
0.017355073243379593,
-0.12215078622102737,
-0.03802808001637459,
0.0031292904168367386,
-0.04004720598459244,
-0.029125956818461418,
0.025625081732869148,
-0.09792736172676086,
0.09542205929756165,
0.034664835780858994,
-0.018451038748025894,
-0.019335558637976646,
0.024085121229290962,
0.0636008232831955,
-0.03295571357011795,
0.048159148544073105,
-0.04421694949269295,
-0.029560210183262825,
0.01953716203570366,
0.03833341971039772,
0.022090723738074303,
0.06809951364994049,
0.01438218541443348,
-0.020058168098330498,
0.028300393372774124,
-0.03708431124687195,
0.0676567554473877,
-0.003069706493988633,
0.10130619257688522,
-0.0035865900572389364,
-0.026504673063755035,
-1.1419581398418008e-33,
-0.10500780493021011,
0.07179612666368484,
-0.03658772259950638,
-0.027364514768123627,
0.06714282184839249,
0.009504937566816807,
0.09833632409572601,
0.05776805803179741,
0.03987351804971695,
0.0460546538233757,
-0.04077562317252159,
-0.023543329909443855,
0.030246645212173462,
0.001348569174297154,
0.004419923759996891,
0.008084304630756378,
0.05234218016266823,
-0.018780147656798363,
0.1149045005440712,
-0.025990096852183342,
0.02561851032078266,
-0.022806139662861824,
0.08574377745389938,
-0.008524931967258453,
0.08243116736412048,
0.00012872196384705603,
0.025499818846583366,
-0.05140316113829613,
0.09062958508729935,
0.015377067029476166,
0.018528759479522705,
0.10383211076259613,
0.01966322958469391,
0.020292723551392555,
0.01509163435548544,
0.00627264566719532,
-0.05330662056803703,
-0.004703263286501169,
-0.003810400143265724,
-0.02053874544799328,
-0.031116224825382233,
-0.013399884104728699,
-0.026516664773225784,
-0.0722370445728302,
-0.0021028192713856697,
-0.027374260127544403,
-0.01680254563689232,
0.02149607427418232,
-0.008185922168195248,
0.02399793080985546,
0.023041965439915657,
0.013084078207612038,
0.02045375108718872,
0.04055250436067581,
0.03871820494532585,
-0.0056190635077655315,
-0.03447053208947182,
-0.036656979471445084,
0.02711542323231697,
0.06922820210456848,
-0.037229616194963455,
-0.01174390222877264,
0.007677174173295498,
0.013423954136669636,
0.07027283310890198,
-0.042318738996982574,
-0.0019963933154940605,
-0.009635643102228642,
-0.05517005920410156,
0.04290444776415825,
0.04736373573541641,
-0.10815180093050003,
0.009327240288257599,
0.07293479144573212,
0.029070783406496048,
0.02587907388806343,
-0.030502641573548317,
0.009142369963228703,
-0.02413109876215458,
-0.0704859271645546,
-0.06242019310593605,
0.0742926150560379,
0.05776659771800041,
0.06893689930438995,
0.02661043405532837,
-0.03112035244703293,
-0.05355382710695267,
0.05110255256295204,
-0.01663803681731224,
-0.034590136259794235,
-0.04266057163476944,
-0.042293619364500046,
0.04163122549653053,
0.0377780981361866,
-0.07934582978487015,
-1.4243319948829728e-33,
-0.01005073543637991,
0.05593453347682953,
-0.08935331553220749,
0.08081777393817902,
0.0007734491373412311,
-0.004585865419358015,
-0.013330448418855667,
0.03086344338953495,
-0.04033644497394562,
0.04509773105382919,
-0.01695876196026802,
-0.019344307482242584,
0.06282520294189453,
-0.02380175143480301,
0.06681690365076065,
-0.0049367547035217285,
-0.048768527805805206,
-0.009452561847865582,
-0.09471359848976135,
0.03557511046528816,
-0.08226075023412704,
0.03563127666711807,
-0.03820977360010147,
-0.02029937133193016,
0.08467788994312286,
0.028200427070260048,
-0.0037915834691375494,
0.1123536080121994,
-0.05010175332427025,
0.011314521543681622,
-0.03564782440662384,
-0.01680963858962059,
0.032044969499111176,
-0.05489214509725571,
0.01261818129569292,
-0.05708641931414604,
0.06203486770391464,
0.03835632652044296,
-0.021039504557847977,
0.055945929139852524,
0.0866478979587555,
-0.05791380628943443,
0.02166999876499176,
-0.008460386656224728,
-0.03606860339641571,
-0.09892694652080536,
0.035738781094551086,
0.18303567171096802,
-0.03510868176817894,
0.0047171409241855145,
-0.008746722713112831,
-0.03876928612589836,
-0.029889915138483047,
0.011626826599240303,
0.033417969942092896,
0.05836297571659088,
0.0628766193985939,
0.07294511795043945,
-0.06922775506973267,
-0.0018307919381186366,
-0.00135114009026438,
-0.10394594818353653,
0.13204887509346008,
0.11502830684185028,
0.08852580934762955,
0.008758083917200565,
-0.0008469750173389912,
0.01473119668662548,
-0.047808680683374405,
-0.008972501382231712,
0.057722095400094986,
-0.027326228097081184,
-0.060691896826028824,
0.006416451185941696,
0.04049147665500641,
-0.032377976924180984,
-0.006845497991889715,
-0.032082829624414444,
-0.008822626434266567,
0.024679269641637802,
-0.003979548811912537,
0.011082619428634644,
-0.06697659194469452,
-0.020494721829891205,
-0.03043084591627121,
-0.028381938114762306,
0.10072076320648193,
-0.08913426846265793,
0.0497145913541317,
-0.01553153432905674,
-0.03723953291773796,
-0.020382072776556015,
-0.05568377673625946,
0.08636223524808884,
0.015111204236745834,
-3.741029530601736e-8,
0.028744468465447426,
0.12373176217079163,
0.035025544464588165,
-0.04672965779900551,
-0.031358618289232254,
0.005820175167173147,
-0.046659260988235474,
-0.10276519507169724,
-0.029177069664001465,
-0.024801313877105713,
0.027935508638620377,
-0.03555580601096153,
-0.011418723501265049,
-0.0403221994638443,
-0.03162004053592682,
-0.039437390863895416,
-0.05072079226374626,
-0.0797959566116333,
-0.020868942141532898,
-0.04071751981973648,
0.03342897444963455,
-0.06653671711683273,
-0.06681473553180695,
0.05777018889784813,
0.04723925516009331,
0.010697565041482449,
0.04314202070236206,
-0.02468612976372242,
0.00009502831380814314,
0.08447544276714325,
-0.0876818299293518,
-0.05139666423201561,
0.09502541273832321,
-0.007077124901115894,
-0.027286749333143234,
0.03173089399933815,
0.007045282516628504,
-0.12024737149477005,
0.06718206405639648,
-0.014246598817408085,
-0.042797401547431946,
-0.07691892981529236,
-0.019622256979346275,
-0.027153441682457924,
-0.11121543496847153,
-0.005027350503951311,
-0.0341523140668869,
-0.0344185046851635,
0.041123274713754654,
0.0805869773030281,
-0.009438520297408104,
0.022119244560599327,
0.0008436026400886476,
0.028545906767249107,
0.007586388383060694,
-0.01653784140944481,
-0.05260130763053894,
-0.06844902038574219,
0.11763997375965118,
0.0742310881614685,
-0.027720395475625992,
0.029875753447413445,
-0.1237049400806427,
-0.010378294624388218
] |
1401.6294
|
Badong Chen
|
Badong Chen, Guangmin Wang, Nanning Zheng, Jose C. Principe
|
An Extended Result on the Optimal Estimation under Minimum Error Entropy
Criterion
|
15 pages, no figures, submitted to Entropy
|
Entropy 2014, 16(4), 2223-2233
|
10.3390/e16042223
| null |
cs.IT math.IT math.ST stat.TH
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The minimum error entropy (MEE) criterion has been successfully used in
fields such as parameter estimation, system identification and the supervised
machine learning. There is in general no explicit expression for the optimal
MEE estimate unless some constraints on the conditional distribution are
imposed. A recent paper has proved that if the conditional density is
conditionally symmetric and unimodal (CSUM), then the optimal MEE estimate
(with Shannon entropy) equals the conditional median. In this study, we extend
this result to the generalized MEE estimation where the optimality criterion is
the Renyi entropy or equivalently, the \alpha-order information potential (IP).
|
[
{
"created": "Fri, 24 Jan 2014 09:27:32 GMT",
"version": "v1"
}
] |
2015-04-14
|
[
[
"Chen",
"Badong",
""
],
[
"Wang",
"Guangmin",
""
],
[
"Zheng",
"Nanning",
""
],
[
"Principe",
"Jose C.",
""
]
] |
[
-0.003335126442834735,
-0.0012655144091695547,
0.08617188036441803,
-0.017378613352775574,
0.03591231629252434,
-0.0060297404415905476,
0.10582023859024048,
0.06250430643558502,
0.03192777559161186,
0.029180070385336876,
-0.04880427569150925,
-0.01153556164354086,
0.04047920182347298,
0.03350917622447014,
-0.09133503586053848,
-0.05343049019575119,
0.07520167529582977,
-0.005961132701486349,
-0.028855180367827415,
0.023717176169157028,
0.1343468576669693,
0.07051979750394821,
-0.055877044796943665,
-0.026973845437169075,
0.047727350145578384,
-0.03321264684200287,
-0.007173668127506971,
0.061722531914711,
-0.005158681422472,
-0.07889891415834427,
-0.007432460784912109,
0.037394747138023376,
0.06688804179430008,
0.0423353873193264,
0.008217084221541882,
-0.00011736388842109591,
-0.0014910658355802298,
-0.04875687509775162,
0.011299691163003445,
0.07939816266298294,
-0.08454100042581558,
0.028250442817807198,
0.012486494146287441,
0.09099483489990234,
-0.020457087084650993,
0.09408929944038391,
0.026200713589787483,
-0.05672143027186394,
-0.015985092148184776,
0.009280991740524769,
-0.0013238255633041263,
0.03639615699648857,
0.018731266260147095,
0.01438515167683363,
-0.036815252155065536,
-0.022782152518630028,
-0.05011167749762535,
-0.021333830431103706,
0.020466240122914314,
0.07200879603624344,
-0.061172761023044586,
-0.047832414507865906,
0.028583986684679985,
-0.01977110654115677,
0.0495612733066082,
0.0290291216224432,
0.07365728914737701,
-0.012258145958185196,
-0.0502413772046566,
0.015085338614881039,
-0.04241526871919632,
-0.010989375412464142,
-0.12832143902778625,
-0.02644600346684456,
0.01971951127052307,
-0.036570604890584946,
0.06701043993234634,
-0.019502518698573112,
-0.007761206477880478,
-0.06319209933280945,
-0.027833450585603714,
-0.007055084686726332,
0.013804145157337189,
-0.03988480195403099,
0.11197192966938019,
-0.017130333930253983,
-0.04141049087047577,
0.02220437116920948,
0.11072554439306259,
-0.006450688932090998,
-0.07085589319467545,
-0.05972462520003319,
-0.08273845165967941,
0.027297019958496094,
0.07022453099489212,
0.028392765671014786,
-0.011979971081018448,
-0.060319934040308,
-0.005286659579724073,
0.048002466559410095,
-0.04588910564780235,
0.010295961052179337,
-0.03629596158862114,
-0.014852453954517841,
0.056610044091939926,
-0.08741531521081924,
0.04408014193177223,
-0.024254988878965378,
0.0356592983007431,
-0.002983356826007366,
-0.01360507495701313,
0.046170394867658615,
-0.010213152505457401,
-0.0269552581012249,
0.004538660403341055,
-0.023621411994099617,
0.022664746269583702,
0.09070718288421631,
-0.036338966339826584,
-0.10083148628473282,
-0.08550969511270523,
-0.0497070774435997,
0.03717201575636864,
-0.005286282394081354,
-0.005983032751828432,
0.01060157734900713,
0.011253933422267437,
1.5279572402022308e-33,
-0.027467340230941772,
0.0049155582673847675,
-0.029523737728595734,
-0.10282737761735916,
-0.04493908956646919,
0.06411511451005936,
-0.06954752653837204,
-0.03132757917046547,
-0.0016728945774957538,
-0.018746012821793556,
-0.04578803852200508,
0.014160875231027603,
-0.028503060340881348,
-0.09032567590475082,
0.03339860215783119,
0.04168448969721794,
-0.019287390634417534,
0.059194743633270264,
-0.03063000924885273,
-0.06708633154630661,
0.0059597184881567955,
0.008128183893859386,
0.04412023723125458,
-0.07186254113912582,
0.006236766465008259,
-0.04768812283873558,
0.009970682673156261,
-0.0049025630578398705,
0.045641977339982986,
-0.022689444944262505,
-0.06727942079305649,
0.010951103642582893,
-0.0010535792680457234,
-0.06294447183609009,
-0.00005838946526637301,
-0.03193099424242973,
-0.07135239988565445,
0.044776350259780884,
-0.054087985306978226,
0.04159284755587578,
0.026393039152026176,
0.10117883235216141,
0.054926227778196335,
-0.12324982136487961,
0.010706533677875996,
-0.041566990315914154,
0.027093971148133278,
0.0074774702079594135,
0.05114958435297012,
-0.13949494063854218,
-0.0693100318312645,
-0.014599401503801346,
0.04938405379652977,
-0.053766559809446335,
0.07536287605762482,
-0.008683448657393456,
-0.008451126515865326,
0.06252813339233398,
-0.004601147025823593,
0.018374362960457802,
-0.05232716351747513,
0.015192263759672642,
0.07515720278024673,
-0.07786595076322556,
0.07413450628519058,
0.06431018561124802,
0.008985111489892006,
0.009928756393492222,
0.14128649234771729,
-0.06933825463056564,
0.08456840366125107,
-0.06585029512643814,
0.02077450603246689,
-0.040967896580696106,
0.06501706689596176,
0.0314883328974247,
-0.011161289177834988,
-0.025830719619989395,
-0.007018831558525562,
-0.003502662992104888,
0.002483258955180645,
0.036556415259838104,
0.03086339868605137,
0.013922535814344883,
0.041603926569223404,
0.019658023491501808,
0.032116249203681946,
0.01897999830543995,
-0.16167929768562317,
0.0017230332596227527,
-0.043381597846746445,
-0.010823585093021393,
0.00595517922192812,
0.058539148420095444,
0.005010605789721012,
-2.3306173845448248e-33,
-0.08234903961420059,
-0.009270946495234966,
0.05549851432442665,
0.03502568230032921,
-0.06682949513196945,
-0.029820799827575684,
0.03168241307139397,
0.0685141310095787,
-0.04257809370756149,
-0.003770537907257676,
-0.0045900726690888405,
-0.030493760481476784,
0.00014738921890966594,
-0.007162975147366524,
-0.03630923479795456,
0.19703975319862366,
-0.07746812701225281,
0.02569514699280262,
0.024192707613110542,
-0.023801811039447784,
0.03687345236539841,
0.06321442872285843,
0.005447876174002886,
0.10772860050201416,
0.015271005220711231,
-0.03188495337963104,
-0.029660359025001526,
0.11465165764093399,
-0.04589703679084778,
-0.0349510982632637,
0.027604833245277405,
-0.02337685227394104,
-0.07690837979316711,
-0.01976441778242588,
-0.018361374735832214,
-0.06527746468782425,
-0.023101655766367912,
0.01749839261174202,
-0.05857640504837036,
0.11641937494277954,
-0.007632693741470575,
0.11597411334514618,
-0.04415137693285942,
-0.0637311264872551,
-0.0010560672963038087,
-0.07798038423061371,
0.029123200103640556,
0.025078853592276573,
0.026117641478776932,
-0.013829121366143227,
-0.0027125035412609577,
-0.02020709030330181,
-0.034030184149742126,
0.02802083268761635,
-0.04025393724441528,
0.001580773270688951,
-0.061898887157440186,
0.03514665737748146,
0.06414970755577087,
0.021462129428982735,
-0.010267923586070538,
-0.009786673821508884,
-0.00231872103177011,
0.027848176658153534,
-0.03671782463788986,
0.023062575608491898,
0.03963317349553108,
-0.03438280522823334,
-0.012906295247375965,
0.01607089303433895,
0.024730872362852097,
0.05627604201436043,
0.028724566102027893,
0.06739148497581482,
0.052919402718544006,
0.0687842145562172,
0.1332547664642334,
0.002833933336660266,
0.017938561737537384,
-0.030774185433983803,
-0.05092788487672806,
0.047171514481306076,
-0.025626366958022118,
0.053075991570949554,
-0.012679989449679852,
-0.014987380243837833,
0.07094579190015793,
-0.07417513430118561,
0.07124011963605881,
-0.0696772038936615,
-0.008965364657342434,
0.029803652316331863,
0.041216880083084106,
0.007482889108359814,
-0.07562777400016785,
-4.4883311289822814e-8,
0.015506117604672909,
-0.0961669459939003,
0.05803646519780159,
-0.06847290694713593,
0.09282363951206207,
0.03259732201695442,
-0.010436531156301498,
0.01390345674008131,
0.007931962609291077,
-0.05140538141131401,
0.06171561777591705,
0.062143098562955856,
-0.018611270934343338,
0.010831747204065323,
-0.021255912259221077,
0.025717541575431824,
0.032888464629650116,
-0.0029894679319113493,
0.021594300866127014,
-0.023364664986729622,
0.08365105092525482,
-0.06252913922071457,
0.010487180203199387,
-0.03325960040092468,
0.08346127718687057,
-0.07410493493080139,
0.0020980932749807835,
-0.025528637692332268,
-0.05443234741687775,
0.06670520454645157,
-0.04165070131421089,
-0.011616128496825695,
0.042163752019405365,
-0.026621151715517044,
-0.05454881861805916,
0.10022728890180588,
0.05087926238775253,
-0.03245062753558159,
-0.0854814425110817,
-0.027929941192269325,
0.07792152464389801,
-0.05207588151097298,
-0.0036805258132517338,
-0.04821152612566948,
0.024219097569584846,
0.012899116612970829,
0.0263684019446373,
-0.07409504801034927,
0.021011024713516235,
-0.05199715122580528,
0.08749797195196152,
-0.0037779745180159807,
0.05311703309416771,
0.05093570426106453,
0.07112355530261993,
-0.07836897671222687,
0.008920586667954922,
-0.014345579780638218,
0.02389088086783886,
-0.024166621267795563,
0.09473555535078049,
0.04489387571811676,
-0.07350166887044907,
-0.046271055936813354
] | null | null | null | null | null | null | null |
[
-0.003335126442834735,
-0.0012655144091695547,
0.08617188036441803,
-0.017378613352775574,
0.03591231629252434,
-0.0060297404415905476,
0.10582023859024048,
0.06250430643558502,
0.03192777559161186,
0.029180070385336876,
-0.04880427569150925,
-0.01153556164354086,
0.04047920182347298,
0.03350917622447014,
-0.09133503586053848,
-0.05343049019575119,
0.07520167529582977,
-0.005961132701486349,
-0.028855180367827415,
0.023717176169157028,
0.1343468576669693,
0.07051979750394821,
-0.055877044796943665,
-0.026973845437169075,
0.047727350145578384,
-0.03321264684200287,
-0.007173668127506971,
0.061722531914711,
-0.005158681422472,
-0.07889891415834427,
-0.007432460784912109,
0.037394747138023376,
0.06688804179430008,
0.0423353873193264,
0.008217084221541882,
-0.00011736388842109591,
-0.0014910658355802298,
-0.04875687509775162,
0.011299691163003445,
0.07939816266298294,
-0.08454100042581558,
0.028250442817807198,
0.012486494146287441,
0.09099483489990234,
-0.020457087084650993,
0.09408929944038391,
0.026200713589787483,
-0.05672143027186394,
-0.015985092148184776,
0.009280991740524769,
-0.0013238255633041263,
0.03639615699648857,
0.018731266260147095,
0.01438515167683363,
-0.036815252155065536,
-0.022782152518630028,
-0.05011167749762535,
-0.021333830431103706,
0.020466240122914314,
0.07200879603624344,
-0.061172761023044586,
-0.047832414507865906,
0.028583986684679985,
-0.01977110654115677,
0.0495612733066082,
0.0290291216224432,
0.07365728914737701,
-0.012258145958185196,
-0.0502413772046566,
0.015085338614881039,
-0.04241526871919632,
-0.010989375412464142,
-0.12832143902778625,
-0.02644600346684456,
0.01971951127052307,
-0.036570604890584946,
0.06701043993234634,
-0.019502518698573112,
-0.007761206477880478,
-0.06319209933280945,
-0.027833450585603714,
-0.007055084686726332,
0.013804145157337189,
-0.03988480195403099,
0.11197192966938019,
-0.017130333930253983,
-0.04141049087047577,
0.02220437116920948,
0.11072554439306259,
-0.006450688932090998,
-0.07085589319467545,
-0.05972462520003319,
-0.08273845165967941,
0.027297019958496094,
0.07022453099489212,
0.028392765671014786,
-0.011979971081018448,
-0.060319934040308,
-0.005286659579724073,
0.048002466559410095,
-0.04588910564780235,
0.010295961052179337,
-0.03629596158862114,
-0.014852453954517841,
0.056610044091939926,
-0.08741531521081924,
0.04408014193177223,
-0.024254988878965378,
0.0356592983007431,
-0.002983356826007366,
-0.01360507495701313,
0.046170394867658615,
-0.010213152505457401,
-0.0269552581012249,
0.004538660403341055,
-0.023621411994099617,
0.022664746269583702,
0.09070718288421631,
-0.036338966339826584,
-0.10083148628473282,
-0.08550969511270523,
-0.0497070774435997,
0.03717201575636864,
-0.005286282394081354,
-0.005983032751828432,
0.01060157734900713,
0.011253933422267437,
1.5279572402022308e-33,
-0.027467340230941772,
0.0049155582673847675,
-0.029523737728595734,
-0.10282737761735916,
-0.04493908956646919,
0.06411511451005936,
-0.06954752653837204,
-0.03132757917046547,
-0.0016728945774957538,
-0.018746012821793556,
-0.04578803852200508,
0.014160875231027603,
-0.028503060340881348,
-0.09032567590475082,
0.03339860215783119,
0.04168448969721794,
-0.019287390634417534,
0.059194743633270264,
-0.03063000924885273,
-0.06708633154630661,
0.0059597184881567955,
0.008128183893859386,
0.04412023723125458,
-0.07186254113912582,
0.006236766465008259,
-0.04768812283873558,
0.009970682673156261,
-0.0049025630578398705,
0.045641977339982986,
-0.022689444944262505,
-0.06727942079305649,
0.010951103642582893,
-0.0010535792680457234,
-0.06294447183609009,
-0.00005838946526637301,
-0.03193099424242973,
-0.07135239988565445,
0.044776350259780884,
-0.054087985306978226,
0.04159284755587578,
0.026393039152026176,
0.10117883235216141,
0.054926227778196335,
-0.12324982136487961,
0.010706533677875996,
-0.041566990315914154,
0.027093971148133278,
0.0074774702079594135,
0.05114958435297012,
-0.13949494063854218,
-0.0693100318312645,
-0.014599401503801346,
0.04938405379652977,
-0.053766559809446335,
0.07536287605762482,
-0.008683448657393456,
-0.008451126515865326,
0.06252813339233398,
-0.004601147025823593,
0.018374362960457802,
-0.05232716351747513,
0.015192263759672642,
0.07515720278024673,
-0.07786595076322556,
0.07413450628519058,
0.06431018561124802,
0.008985111489892006,
0.009928756393492222,
0.14128649234771729,
-0.06933825463056564,
0.08456840366125107,
-0.06585029512643814,
0.02077450603246689,
-0.040967896580696106,
0.06501706689596176,
0.0314883328974247,
-0.011161289177834988,
-0.025830719619989395,
-0.007018831558525562,
-0.003502662992104888,
0.002483258955180645,
0.036556415259838104,
0.03086339868605137,
0.013922535814344883,
0.041603926569223404,
0.019658023491501808,
0.032116249203681946,
0.01897999830543995,
-0.16167929768562317,
0.0017230332596227527,
-0.043381597846746445,
-0.010823585093021393,
0.00595517922192812,
0.058539148420095444,
0.005010605789721012,
-2.3306173845448248e-33,
-0.08234903961420059,
-0.009270946495234966,
0.05549851432442665,
0.03502568230032921,
-0.06682949513196945,
-0.029820799827575684,
0.03168241307139397,
0.0685141310095787,
-0.04257809370756149,
-0.003770537907257676,
-0.0045900726690888405,
-0.030493760481476784,
0.00014738921890966594,
-0.007162975147366524,
-0.03630923479795456,
0.19703975319862366,
-0.07746812701225281,
0.02569514699280262,
0.024192707613110542,
-0.023801811039447784,
0.03687345236539841,
0.06321442872285843,
0.005447876174002886,
0.10772860050201416,
0.015271005220711231,
-0.03188495337963104,
-0.029660359025001526,
0.11465165764093399,
-0.04589703679084778,
-0.0349510982632637,
0.027604833245277405,
-0.02337685227394104,
-0.07690837979316711,
-0.01976441778242588,
-0.018361374735832214,
-0.06527746468782425,
-0.023101655766367912,
0.01749839261174202,
-0.05857640504837036,
0.11641937494277954,
-0.007632693741470575,
0.11597411334514618,
-0.04415137693285942,
-0.0637311264872551,
-0.0010560672963038087,
-0.07798038423061371,
0.029123200103640556,
0.025078853592276573,
0.026117641478776932,
-0.013829121366143227,
-0.0027125035412609577,
-0.02020709030330181,
-0.034030184149742126,
0.02802083268761635,
-0.04025393724441528,
0.001580773270688951,
-0.061898887157440186,
0.03514665737748146,
0.06414970755577087,
0.021462129428982735,
-0.010267923586070538,
-0.009786673821508884,
-0.00231872103177011,
0.027848176658153534,
-0.03671782463788986,
0.023062575608491898,
0.03963317349553108,
-0.03438280522823334,
-0.012906295247375965,
0.01607089303433895,
0.024730872362852097,
0.05627604201436043,
0.028724566102027893,
0.06739148497581482,
0.052919402718544006,
0.0687842145562172,
0.1332547664642334,
0.002833933336660266,
0.017938561737537384,
-0.030774185433983803,
-0.05092788487672806,
0.047171514481306076,
-0.025626366958022118,
0.053075991570949554,
-0.012679989449679852,
-0.014987380243837833,
0.07094579190015793,
-0.07417513430118561,
0.07124011963605881,
-0.0696772038936615,
-0.008965364657342434,
0.029803652316331863,
0.041216880083084106,
0.007482889108359814,
-0.07562777400016785,
-4.4883311289822814e-8,
0.015506117604672909,
-0.0961669459939003,
0.05803646519780159,
-0.06847290694713593,
0.09282363951206207,
0.03259732201695442,
-0.010436531156301498,
0.01390345674008131,
0.007931962609291077,
-0.05140538141131401,
0.06171561777591705,
0.062143098562955856,
-0.018611270934343338,
0.010831747204065323,
-0.021255912259221077,
0.025717541575431824,
0.032888464629650116,
-0.0029894679319113493,
0.021594300866127014,
-0.023364664986729622,
0.08365105092525482,
-0.06252913922071457,
0.010487180203199387,
-0.03325960040092468,
0.08346127718687057,
-0.07410493493080139,
0.0020980932749807835,
-0.025528637692332268,
-0.05443234741687775,
0.06670520454645157,
-0.04165070131421089,
-0.011616128496825695,
0.042163752019405365,
-0.026621151715517044,
-0.05454881861805916,
0.10022728890180588,
0.05087926238775253,
-0.03245062753558159,
-0.0854814425110817,
-0.027929941192269325,
0.07792152464389801,
-0.05207588151097298,
-0.0036805258132517338,
-0.04821152612566948,
0.024219097569584846,
0.012899116612970829,
0.0263684019446373,
-0.07409504801034927,
0.021011024713516235,
-0.05199715122580528,
0.08749797195196152,
-0.0037779745180159807,
0.05311703309416771,
0.05093570426106453,
0.07112355530261993,
-0.07836897671222687,
0.008920586667954922,
-0.014345579780638218,
0.02389088086783886,
-0.024166621267795563,
0.09473555535078049,
0.04489387571811676,
-0.07350166887044907,
-0.046271055936813354
] |
1401.6300
|
Johan Anderson
|
Johan Anderson, Hans Nordman, Raghvendra Singh
|
Effects of the Second Harmonic on the GAM in Electron Scale Turbulence
|
12 pages, 1 figure. Work presented at 15th EFTC 2013, September
23-26th, Oxford, England
| null | null | null |
physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The effects higher order harmonics have been self-consistently included in
the derivation of the electron branch of the electron Geodesic Acoustic Mode
(el-GAM) in an Electron-Temperature-Gradient (ETG) turbulence background. The
work is based on a two-fluid model including finite $\beta$-effects while
retaining non-adiabatic ions. In solving the linear dispersion relation, it is
found that the due to the coupling to the $m=2$ mode the real frequency may be
significantly altered and yield higher values.
|
[
{
"created": "Fri, 24 Jan 2014 09:58:08 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Anderson",
"Johan",
""
],
[
"Nordman",
"Hans",
""
],
[
"Singh",
"Raghvendra",
""
]
] |
[
-0.02204914763569832,
-0.004474907647818327,
0.13564853370189667,
-0.002968843560665846,
-0.05450797826051712,
-0.009284960106015205,
-0.023558415472507477,
-0.04800155386328697,
-0.007831292226910591,
-0.04923718050122261,
0.03245653957128525,
-0.03945417329668999,
0.015363787300884724,
-0.1261250078678131,
0.12247692048549652,
-0.011735564097762108,
0.025795189663767815,
0.036586400121450424,
-0.037885501980781555,
-0.03218142315745354,
0.055722396820783615,
-0.019130049273371696,
-0.018258733674883842,
-0.026813985779881477,
0.10942330211400986,
0.01888769119977951,
0.009771731682121754,
0.01668846793472767,
0.035068757832050323,
-0.04660578444600105,
0.10585236549377441,
0.08626921474933624,
-0.0915730893611908,
0.017898600548505783,
-0.0758303552865982,
-0.07124970853328705,
0.027402520179748535,
-0.0043969363905489445,
-0.046327587217092514,
0.021321987733244896,
0.041864972561597824,
0.0705789178609848,
0.09295176714658737,
-0.015089926309883595,
0.012960774824023247,
-0.06614916771650314,
0.04631839320063591,
-0.058618251234292984,
-0.05987143516540527,
0.011099939234554768,
0.01573639176785946,
-0.03663719445466995,
0.008668148890137672,
0.07356688380241394,
-0.05497213825583458,
0.0729861781001091,
0.08349777013063431,
0.03037487529218197,
0.023263873532414436,
-0.012238203547894955,
-0.029443707317113876,
0.02139115333557129,
-0.041536543518304825,
0.004038375336676836,
0.03553135693073273,
-0.044151242822408676,
0.0266310665756464,
-0.023795761168003082,
0.008973219431936741,
0.013267365284264088,
-0.06011032685637474,
-0.018546316772699356,
-0.02913248911499977,
-0.09427450597286224,
0.027891172096133232,
-0.0036814094055444,
-0.04646002873778343,
0.02446153573691845,
-0.00022295596136245877,
0.0069513702765107155,
0.02184123918414116,
-0.06614022701978683,
0.02803395502269268,
-0.02753721922636032,
-0.03682348504662514,
0.033871568739414215,
0.026187477633357048,
-0.08133722096681595,
-0.07338029891252518,
-0.020113756880164146,
0.01841646060347557,
-0.028057537972927094,
-0.016778182238340378,
0.03589128702878952,
-0.008612015284597874,
0.06415136903524399,
0.021545585244894028,
0.08455219119787216,
0.0724489688873291,
0.029946690425276756,
0.012802734971046448,
-0.022523183375597,
-0.045763786882162094,
0.09656364470720291,
-0.021170640364289284,
0.045575257390737534,
0.02823602966964245,
0.06156124547123909,
-0.08294051885604858,
0.02213701605796814,
-0.017813336104154587,
0.058405566960573196,
-0.013198312371969223,
-0.013157877139747143,
0.037268511950969696,
0.04905213788151741,
-0.0631737932562828,
-0.043679770082235336,
-0.01596636138856411,
-0.022313682362437248,
0.021154984831809998,
0.010677928104996681,
-0.012248629704117775,
0.07321026921272278,
0.016341974958777428,
0.05085637420415878,
-0.06969276070594788,
3.580924512121762e-34,
0.0448080338537693,
0.03589913621544838,
0.03804425895214081,
-0.05939006805419922,
0.11464054882526398,
0.06283091008663177,
-0.038467150181531906,
-0.0007368848309852183,
-0.005846153479069471,
0.0070602772757411,
-0.0924297571182251,
0.06509599089622498,
0.0058797928504645824,
-0.02495541423559189,
-0.027921197935938835,
0.011700093746185303,
-0.059823501855134964,
-0.016441071406006813,
0.02562713623046875,
0.05977218970656395,
0.028299856930971146,
-0.013588213361799717,
0.004546358250081539,
-0.02593994140625,
0.015350374393165112,
-0.008755406364798546,
0.03405077010393143,
0.04510892927646637,
-0.04314864054322243,
0.04290064796805382,
0.06965229660272598,
-0.02400733157992363,
-0.02283053658902645,
-0.017581677064299583,
0.013445309363305569,
0.02288227155804634,
-0.04296407848596573,
0.06120280176401138,
0.0445556640625,
-0.016241252422332764,
-0.0904804915189743,
0.025974968448281288,
-0.0401325561106205,
0.05426214635372162,
-0.09589388221502304,
-0.021356476470828056,
0.04480661451816559,
0.0640869215130806,
0.05998842418193817,
-0.04740532115101814,
-0.025918573141098022,
0.02420026622712612,
-0.04524100571870804,
0.07715974003076553,
0.06921793520450592,
0.055873896926641464,
0.045502401888370514,
-0.006810690276324749,
-0.07171386480331421,
-0.055610328912734985,
0.07620776444673538,
0.07670807093381882,
0.11901100724935532,
-0.00022744594025425613,
0.03603300452232361,
0.031193852424621582,
0.039023905992507935,
-0.006496545858681202,
0.029208051040768623,
-0.07563243806362152,
0.007583561819046736,
0.05708732083439827,
0.05587967485189438,
0.06650344282388687,
0.04606957361102104,
-0.0431462787091732,
-0.05181984603404999,
-0.035593803972005844,
0.03157411515712738,
0.019322143867611885,
-0.015412794426083565,
-0.042358215898275375,
0.08508418500423431,
0.0524824894964695,
-0.019129959866404533,
-0.02653924562036991,
-0.054162152111530304,
0.0379117950797081,
0.012676915153861046,
-0.04819807410240173,
-0.0760139673948288,
0.007942359894514084,
0.0045014056377112865,
-0.015480712987482548,
-0.031632356345653534,
-1.5561050952811436e-33,
-0.029323995113372803,
0.07504641264677048,
-0.031294163316488266,
0.0007012502173893154,
0.032992273569107056,
0.07206911593675613,
0.10258543491363525,
0.10288859903812408,
-0.007267571520060301,
0.002420881064608693,
0.14783403277397156,
0.037594571709632874,
-0.019057350233197212,
-0.043220579624176025,
0.07002177089452744,
-0.10753698647022247,
-0.09805569052696228,
-0.017789972946047783,
0.07687211036682129,
0.0323929563164711,
0.06537307053804398,
-0.09865771234035492,
0.031719621270895004,
0.04783143475651741,
-0.024323128163814545,
-0.08635027706623077,
-0.03209885209798813,
-0.07078699767589569,
-0.01840152032673359,
-0.02807225100696087,
-0.03364219516515732,
0.11328615993261337,
0.022108551114797592,
-0.07701244950294495,
-0.02476932294666767,
0.05979708582162857,
-0.030959252268075943,
0.01806720159947872,
0.013189277611672878,
-0.0022569976281374693,
-0.07088671624660492,
0.045916058123111725,
0.13006332516670227,
-0.09956475347280502,
0.08450572937726974,
0.03752439469099045,
-0.015118096955120564,
-0.022865355014801025,
0.0030775575432926416,
-0.014003092423081398,
-0.015483989380300045,
-0.07812535017728806,
0.04619801416993141,
0.04522327333688736,
-0.033923130482435226,
0.018618997186422348,
-0.012847945094108582,
-0.020704079419374466,
0.002874082187190652,
-0.04214298352599144,
-0.04988088086247444,
-0.010309085249900818,
-0.006008264143019915,
-0.08613374084234238,
-0.0293719545006752,
-0.05975574627518654,
-0.11934736371040344,
-0.010307259857654572,
-0.04416018724441528,
0.0018060585716739297,
0.00015663473459426314,
-0.08841847628355026,
-0.04665437340736389,
0.07324712723493576,
-0.01843584142625332,
-0.049823272973299026,
-0.02696770243346691,
-0.08274531364440918,
-0.053831737488508224,
0.0016770372167229652,
0.08639095723628998,
0.12411373853683472,
0.02986263670027256,
-0.00612375745549798,
0.04928947985172272,
-0.05104764923453331,
-0.03064817748963833,
-0.03219215199351311,
0.03860638290643692,
-0.009649298153817654,
0.04735042154788971,
0.004340874496847391,
-0.02944188006222248,
-0.07428286969661713,
0.020856047049164772,
-4.7993264473689123e-8,
0.00308737950399518,
-0.06583543866872787,
-0.006806413643062115,
0.038996417075395584,
0.007893413305282593,
-0.029662340879440308,
-0.07876066863536835,
-0.026494400575757027,
0.05737750232219696,
-0.03179612010717392,
0.03981466963887215,
0.03798724338412285,
-0.002537911059334874,
0.014825553633272648,
-0.04903019592165947,
-0.04420701414346695,
0.015623713843524456,
-0.0034005981869995594,
0.008903763256967068,
-0.07310880720615387,
0.02500917762517929,
0.05300021171569824,
-0.0261340644210577,
-0.02269706502556801,
0.10110720992088318,
-0.0035624539013952017,
-0.0015641773352399468,
-0.058124806731939316,
-0.009650164283812046,
0.004222203977406025,
-0.09437081962823868,
-0.014123423025012016,
-0.032862260937690735,
-0.004043556749820709,
-0.08654391020536423,
0.053436316549777985,
-0.11039893329143524,
0.02661658264696598,
0.008303850889205933,
-0.08618052303791046,
-0.0026587429456412792,
0.00016869728278834373,
0.051296692341566086,
-0.013001118786633015,
0.1096113994717598,
0.055054813623428345,
0.011647618375718594,
-0.06696934998035431,
-0.00249619223177433,
0.06469208747148514,
-0.015979327261447906,
0.05645027384161949,
0.07336187362670898,
-0.04758202284574509,
-0.01778963953256607,
0.014698559418320656,
-0.0989745631814003,
0.024342957884073257,
0.03329356387257576,
-0.09413642436265945,
0.07269924879074097,
-0.04507646709680557,
-0.07752486318349838,
-0.05700475722551346
] | null | null | null | null | null | null | null |
[
-0.02204914763569832,
-0.004474907647818327,
0.13564853370189667,
-0.002968843560665846,
-0.05450797826051712,
-0.009284960106015205,
-0.023558415472507477,
-0.04800155386328697,
-0.007831292226910591,
-0.04923718050122261,
0.03245653957128525,
-0.03945417329668999,
0.015363787300884724,
-0.1261250078678131,
0.12247692048549652,
-0.011735564097762108,
0.025795189663767815,
0.036586400121450424,
-0.037885501980781555,
-0.03218142315745354,
0.055722396820783615,
-0.019130049273371696,
-0.018258733674883842,
-0.026813985779881477,
0.10942330211400986,
0.01888769119977951,
0.009771731682121754,
0.01668846793472767,
0.035068757832050323,
-0.04660578444600105,
0.10585236549377441,
0.08626921474933624,
-0.0915730893611908,
0.017898600548505783,
-0.0758303552865982,
-0.07124970853328705,
0.027402520179748535,
-0.0043969363905489445,
-0.046327587217092514,
0.021321987733244896,
0.041864972561597824,
0.0705789178609848,
0.09295176714658737,
-0.015089926309883595,
0.012960774824023247,
-0.06614916771650314,
0.04631839320063591,
-0.058618251234292984,
-0.05987143516540527,
0.011099939234554768,
0.01573639176785946,
-0.03663719445466995,
0.008668148890137672,
0.07356688380241394,
-0.05497213825583458,
0.0729861781001091,
0.08349777013063431,
0.03037487529218197,
0.023263873532414436,
-0.012238203547894955,
-0.029443707317113876,
0.02139115333557129,
-0.041536543518304825,
0.004038375336676836,
0.03553135693073273,
-0.044151242822408676,
0.0266310665756464,
-0.023795761168003082,
0.008973219431936741,
0.013267365284264088,
-0.06011032685637474,
-0.018546316772699356,
-0.02913248911499977,
-0.09427450597286224,
0.027891172096133232,
-0.0036814094055444,
-0.04646002873778343,
0.02446153573691845,
-0.00022295596136245877,
0.0069513702765107155,
0.02184123918414116,
-0.06614022701978683,
0.02803395502269268,
-0.02753721922636032,
-0.03682348504662514,
0.033871568739414215,
0.026187477633357048,
-0.08133722096681595,
-0.07338029891252518,
-0.020113756880164146,
0.01841646060347557,
-0.028057537972927094,
-0.016778182238340378,
0.03589128702878952,
-0.008612015284597874,
0.06415136903524399,
0.021545585244894028,
0.08455219119787216,
0.0724489688873291,
0.029946690425276756,
0.012802734971046448,
-0.022523183375597,
-0.045763786882162094,
0.09656364470720291,
-0.021170640364289284,
0.045575257390737534,
0.02823602966964245,
0.06156124547123909,
-0.08294051885604858,
0.02213701605796814,
-0.017813336104154587,
0.058405566960573196,
-0.013198312371969223,
-0.013157877139747143,
0.037268511950969696,
0.04905213788151741,
-0.0631737932562828,
-0.043679770082235336,
-0.01596636138856411,
-0.022313682362437248,
0.021154984831809998,
0.010677928104996681,
-0.012248629704117775,
0.07321026921272278,
0.016341974958777428,
0.05085637420415878,
-0.06969276070594788,
3.580924512121762e-34,
0.0448080338537693,
0.03589913621544838,
0.03804425895214081,
-0.05939006805419922,
0.11464054882526398,
0.06283091008663177,
-0.038467150181531906,
-0.0007368848309852183,
-0.005846153479069471,
0.0070602772757411,
-0.0924297571182251,
0.06509599089622498,
0.0058797928504645824,
-0.02495541423559189,
-0.027921197935938835,
0.011700093746185303,
-0.059823501855134964,
-0.016441071406006813,
0.02562713623046875,
0.05977218970656395,
0.028299856930971146,
-0.013588213361799717,
0.004546358250081539,
-0.02593994140625,
0.015350374393165112,
-0.008755406364798546,
0.03405077010393143,
0.04510892927646637,
-0.04314864054322243,
0.04290064796805382,
0.06965229660272598,
-0.02400733157992363,
-0.02283053658902645,
-0.017581677064299583,
0.013445309363305569,
0.02288227155804634,
-0.04296407848596573,
0.06120280176401138,
0.0445556640625,
-0.016241252422332764,
-0.0904804915189743,
0.025974968448281288,
-0.0401325561106205,
0.05426214635372162,
-0.09589388221502304,
-0.021356476470828056,
0.04480661451816559,
0.0640869215130806,
0.05998842418193817,
-0.04740532115101814,
-0.025918573141098022,
0.02420026622712612,
-0.04524100571870804,
0.07715974003076553,
0.06921793520450592,
0.055873896926641464,
0.045502401888370514,
-0.006810690276324749,
-0.07171386480331421,
-0.055610328912734985,
0.07620776444673538,
0.07670807093381882,
0.11901100724935532,
-0.00022744594025425613,
0.03603300452232361,
0.031193852424621582,
0.039023905992507935,
-0.006496545858681202,
0.029208051040768623,
-0.07563243806362152,
0.007583561819046736,
0.05708732083439827,
0.05587967485189438,
0.06650344282388687,
0.04606957361102104,
-0.0431462787091732,
-0.05181984603404999,
-0.035593803972005844,
0.03157411515712738,
0.019322143867611885,
-0.015412794426083565,
-0.042358215898275375,
0.08508418500423431,
0.0524824894964695,
-0.019129959866404533,
-0.02653924562036991,
-0.054162152111530304,
0.0379117950797081,
0.012676915153861046,
-0.04819807410240173,
-0.0760139673948288,
0.007942359894514084,
0.0045014056377112865,
-0.015480712987482548,
-0.031632356345653534,
-1.5561050952811436e-33,
-0.029323995113372803,
0.07504641264677048,
-0.031294163316488266,
0.0007012502173893154,
0.032992273569107056,
0.07206911593675613,
0.10258543491363525,
0.10288859903812408,
-0.007267571520060301,
0.002420881064608693,
0.14783403277397156,
0.037594571709632874,
-0.019057350233197212,
-0.043220579624176025,
0.07002177089452744,
-0.10753698647022247,
-0.09805569052696228,
-0.017789972946047783,
0.07687211036682129,
0.0323929563164711,
0.06537307053804398,
-0.09865771234035492,
0.031719621270895004,
0.04783143475651741,
-0.024323128163814545,
-0.08635027706623077,
-0.03209885209798813,
-0.07078699767589569,
-0.01840152032673359,
-0.02807225100696087,
-0.03364219516515732,
0.11328615993261337,
0.022108551114797592,
-0.07701244950294495,
-0.02476932294666767,
0.05979708582162857,
-0.030959252268075943,
0.01806720159947872,
0.013189277611672878,
-0.0022569976281374693,
-0.07088671624660492,
0.045916058123111725,
0.13006332516670227,
-0.09956475347280502,
0.08450572937726974,
0.03752439469099045,
-0.015118096955120564,
-0.022865355014801025,
0.0030775575432926416,
-0.014003092423081398,
-0.015483989380300045,
-0.07812535017728806,
0.04619801416993141,
0.04522327333688736,
-0.033923130482435226,
0.018618997186422348,
-0.012847945094108582,
-0.020704079419374466,
0.002874082187190652,
-0.04214298352599144,
-0.04988088086247444,
-0.010309085249900818,
-0.006008264143019915,
-0.08613374084234238,
-0.0293719545006752,
-0.05975574627518654,
-0.11934736371040344,
-0.010307259857654572,
-0.04416018724441528,
0.0018060585716739297,
0.00015663473459426314,
-0.08841847628355026,
-0.04665437340736389,
0.07324712723493576,
-0.01843584142625332,
-0.049823272973299026,
-0.02696770243346691,
-0.08274531364440918,
-0.053831737488508224,
0.0016770372167229652,
0.08639095723628998,
0.12411373853683472,
0.02986263670027256,
-0.00612375745549798,
0.04928947985172272,
-0.05104764923453331,
-0.03064817748963833,
-0.03219215199351311,
0.03860638290643692,
-0.009649298153817654,
0.04735042154788971,
0.004340874496847391,
-0.02944188006222248,
-0.07428286969661713,
0.020856047049164772,
-4.7993264473689123e-8,
0.00308737950399518,
-0.06583543866872787,
-0.006806413643062115,
0.038996417075395584,
0.007893413305282593,
-0.029662340879440308,
-0.07876066863536835,
-0.026494400575757027,
0.05737750232219696,
-0.03179612010717392,
0.03981466963887215,
0.03798724338412285,
-0.002537911059334874,
0.014825553633272648,
-0.04903019592165947,
-0.04420701414346695,
0.015623713843524456,
-0.0034005981869995594,
0.008903763256967068,
-0.07310880720615387,
0.02500917762517929,
0.05300021171569824,
-0.0261340644210577,
-0.02269706502556801,
0.10110720992088318,
-0.0035624539013952017,
-0.0015641773352399468,
-0.058124806731939316,
-0.009650164283812046,
0.004222203977406025,
-0.09437081962823868,
-0.014123423025012016,
-0.032862260937690735,
-0.004043556749820709,
-0.08654391020536423,
0.053436316549777985,
-0.11039893329143524,
0.02661658264696598,
0.008303850889205933,
-0.08618052303791046,
-0.0026587429456412792,
0.00016869728278834373,
0.051296692341566086,
-0.013001118786633015,
0.1096113994717598,
0.055054813623428345,
0.011647618375718594,
-0.06696934998035431,
-0.00249619223177433,
0.06469208747148514,
-0.015979327261447906,
0.05645027384161949,
0.07336187362670898,
-0.04758202284574509,
-0.01778963953256607,
0.014698559418320656,
-0.0989745631814003,
0.024342957884073257,
0.03329356387257576,
-0.09413642436265945,
0.07269924879074097,
-0.04507646709680557,
-0.07752486318349838,
-0.05700475722551346
] |
1401.6302
|
Frank Simon
|
Frank Simon
|
Higgs Physics at future Linear Colliders - A Case for precise Vertexing
|
9 pages, 4 figures, to be published in the proceedings of the 22nd
International Workshop on Vertex Detectors VERTEX 2013, Lake Starnberg,
Germany, September 2013, v2 updated references. arXiv admin note: substantial
text overlap with arXiv:1211.7242
| null | null |
MPP-2014-12
|
hep-ex hep-ph physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The discovery of a Higgs boson by the experiments at the LHC marks a major
breakthrough in particle physics, with far-reaching consequences for our
understanding of the fundamental principles of our Universe. To fully explore
this unique particle, experiments at high-energy electron-positron colliders
are being planned, providing substantial added benefit over the capabilities of
the LHC alone, such as model-independent measurements of couplings, constraints
on invisible decays and precise measurements of the self-coupling. This
contribution summarizes the Higgs physics program at such future facilities,
highlighting in particular also the role of precise vertexing in achieving the
ambitious goals of these experiments.
|
[
{
"created": "Fri, 24 Jan 2014 10:20:25 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2014 19:38:29 GMT",
"version": "v2"
}
] |
2014-01-28
|
[
[
"Simon",
"Frank",
""
]
] |
[
-0.12143435329198837,
0.04576381668448448,
0.0024043270386755466,
0.046026185154914856,
0.0123515073210001,
-0.08003361523151398,
-0.06755875796079636,
0.03837370499968529,
-0.03688650205731392,
-0.04380497708916664,
0.015926707535982132,
0.010120796039700508,
-0.0457611083984375,
0.0024447734467685223,
0.013101823627948761,
-0.004715091548860073,
0.03879798948764801,
-0.001237096032127738,
-0.049152154475450516,
-0.07815462350845337,
-0.09660591185092926,
-0.02477435953915119,
0.004798420704901218,
0.0526055283844471,
0.04950087517499924,
-0.07162071019411087,
-0.013899794779717922,
-0.025229156017303467,
0.014364736154675484,
-0.03306446596980095,
0.07557052373886108,
-0.051257744431495667,
-0.006136004813015461,
-0.0017022578977048397,
-0.021940700709819794,
0.07346469163894653,
0.05154864490032196,
-0.10091527551412582,
0.05102415382862091,
-0.00891473051160574,
0.09167130291461945,
0.008830711245536804,
0.06374143064022064,
-0.004648714326322079,
0.08744271099567413,
-0.038366805762052536,
-0.033430229872465134,
0.01981160044670105,
-0.02444893680512905,
0.003158395178616047,
0.0010512755252420902,
-0.045468542724847794,
-0.01103726215660572,
-0.083137147128582,
-0.05522929131984711,
0.025913091376423836,
0.012622210197150707,
-0.08231527358293533,
0.019486134871840477,
0.0219930000603199,
0.002509603975340724,
0.04211247339844704,
-0.02812265045940876,
-0.01231219619512558,
-0.02629629522562027,
-0.04946189001202583,
0.03196236863732338,
-0.041405029594898224,
0.0707574188709259,
0.09947960078716278,
0.003435023594647646,
0.021209511905908585,
-0.05600689351558685,
-0.03322108834981918,
0.10156852006912231,
-0.03566906601190567,
0.0012623899383470416,
0.026768840849399567,
0.05296971648931503,
-0.01634685881435871,
-0.03316471353173256,
-0.08957928419113159,
-0.029119886457920074,
0.020458443090319633,
-0.021423470228910446,
0.02554483711719513,
-0.023341743275523186,
0.00016960890206974,
-0.06042596697807312,
-0.06311223655939102,
-0.03102676384150982,
-0.11750536412000656,
-0.100410595536232,
0.002348543144762516,
-0.060578178614377975,
0.08203940093517303,
0.08788716793060303,
-0.00841495767235756,
-0.030346272513270378,
0.04035412520170212,
0.019853956997394562,
-0.04249954596161842,
0.04887227341532707,
0.0652121976017952,
-0.0023416539188474417,
0.01646287553012371,
-0.0033419104292988777,
0.06555350124835968,
0.06406543403863907,
-0.05342620238661766,
0.11021876335144043,
-0.016916727647185326,
0.061093706637620926,
-0.03201666101813316,
-0.017633909359574318,
0.004338450729846954,
-0.03072265535593033,
-0.014516563154757023,
0.01251125242561102,
-0.01891464926302433,
-0.032323140650987625,
0.025938816368579865,
0.01403597928583622,
0.001101367874071002,
0.0371796190738678,
0.002152978675439954,
-0.08221976459026337,
1.1299229143993037e-33,
0.07966011017560959,
-0.007572985254228115,
0.04548630490899086,
0.004270483739674091,
-0.04412710294127464,
0.03133118897676468,
-0.009101108647882938,
0.0023957286030054092,
-0.024397732689976692,
0.08453072607517242,
-0.019109822809696198,
-0.029658937826752663,
0.012005574069917202,
-0.005972118582576513,
-0.027005553245544434,
-0.030899813398718834,
-0.006297202780842781,
0.05299089476466179,
-0.025734130293130875,
0.04179873690009117,
0.07227465510368347,
-0.03370979055762291,
-0.03610793873667717,
-0.018250184133648872,
0.10228218138217926,
0.0875466912984848,
-0.021096665412187576,
0.05408871918916702,
-0.06742317229509354,
0.00839595589786768,
0.020592624321579933,
0.12471972405910492,
0.02283979393541813,
0.0958409234881401,
-0.07301188260316849,
-0.028922902420163155,
-0.0806809589266777,
-0.024917496368288994,
0.028642412275075912,
-0.1013876348733902,
0.05564519390463829,
0.10489246994256973,
-0.0408724844455719,
-0.09358148276805878,
-0.011330398730933666,
-0.028466355055570602,
0.02174893021583557,
0.06827350705862045,
0.038648732006549835,
-0.02681390941143036,
0.012469648383557796,
0.020993776619434357,
-0.05943223088979721,
0.07681167870759964,
0.02725970186293125,
-0.006742370314896107,
0.08230675756931305,
-0.014094755984842777,
0.038167502731084824,
0.05208662152290344,
0.025725876912474632,
0.02259291335940361,
-0.03812277689576149,
0.06712475419044495,
-0.02943894825875759,
0.02215149812400341,
-0.014677220024168491,
0.01299614179879427,
0.01934773102402687,
0.04437868297100067,
-0.08646465092897415,
0.05554279312491417,
-0.03178732469677925,
-0.13465039432048798,
0.03725513070821762,
-0.02802065759897232,
-0.029023785144090652,
-0.05183761939406395,
0.08917082101106644,
-0.0007828992092981935,
0.021144885569810867,
-0.04167203605175018,
0.003100597532466054,
0.009600847028195858,
-0.06634547561407089,
-0.010221689008176327,
-0.022152366116642952,
0.007596187759190798,
-0.02919897995889187,
-0.031012320891022682,
-0.04112892970442772,
0.01645530015230179,
0.04452327638864517,
-0.07337668538093567,
-0.023649772629141808,
-3.292638655179923e-33,
-0.03993485867977142,
0.05878743156790733,
0.021325960755348206,
0.08115756511688232,
0.038041017949581146,
-0.021521199494600296,
-0.06197560206055641,
-0.053311072289943695,
-0.01638306863605976,
0.07662691920995712,
0.027151145040988922,
0.009580583311617374,
-0.05103756859898567,
-0.052872076630592346,
0.04835917428135872,
0.00614522397518158,
-0.007831200957298279,
-0.03513602539896965,
-0.01941879279911518,
0.019791409373283386,
0.0548747293651104,
-0.011219749227166176,
0.0021439259871840477,
-0.055433083325624466,
0.07536844909191132,
-0.027220359072089195,
0.0021357557270675898,
-0.1353578269481659,
0.0705813318490982,
-0.016772890463471413,
-0.11858998984098434,
-0.011778315529227257,
0.003189777722582221,
-0.047280870378017426,
0.019559243693947792,
0.0114463334903121,
0.03164603188633919,
0.0508631095290184,
0.07362636178731918,
-0.09759217500686646,
0.020534811541438103,
0.07559426128864288,
-0.09364606440067291,
0.0882875844836235,
0.05827469378709793,
0.08400287479162216,
-0.03201161324977875,
0.07743550091981888,
-0.07441578060388565,
0.0549493283033371,
-0.08144368976354599,
-0.0358746238052845,
0.04999956488609314,
-0.008530370891094208,
-0.10661019384860992,
0.012682530097663403,
-0.0002686108637135476,
0.04633016139268875,
0.00409990269690752,
-0.023520540446043015,
-0.10189182311296463,
-0.05093562230467796,
0.003131511155515909,
0.0888458713889122,
-0.04420020058751106,
0.04921773076057434,
-0.058944638818502426,
0.07831619679927826,
0.00010563556861598045,
-0.013750217854976654,
-0.015088314190506935,
-0.023488596081733704,
0.02248173952102661,
0.0018567077349871397,
0.03386714681982994,
-0.057308170944452286,
0.018759293481707573,
-0.085246741771698,
0.11680087447166443,
-0.014946983195841312,
-0.03468106687068939,
0.032736461609601974,
-0.010661098174750805,
0.001979057677090168,
0.10887221246957779,
0.006628445349633694,
-0.11389905959367752,
0.08705134689807892,
0.013852293603122234,
0.052132055163383484,
-0.0038682548329234123,
0.007914548739790916,
0.029437346383929253,
0.004416518844664097,
0.014278942719101906,
-4.410885878769477e-8,
-0.06296740472316742,
-0.0014267737278714776,
-0.041237831115722656,
0.006556155625730753,
0.005581929814070463,
0.013499290682375431,
-0.016185911372303963,
0.06499172747135162,
-0.02497336082160473,
0.08496280014514923,
0.06893680989742279,
0.06118690222501755,
-0.08725055307149887,
-0.018507571890950203,
0.060879338532686234,
0.006076612509787083,
0.02491910569369793,
-0.0129134776070714,
-0.07251881808042526,
-0.007396763656288385,
-0.027774717658758163,
0.012395983561873436,
0.06183972954750061,
-0.003923100885003805,
-0.0312810018658638,
-0.023045457899570465,
-0.017218828201293945,
0.07592710852622986,
-0.015960069373250008,
0.010005530901253223,
-0.03183118626475334,
-0.02490812912583351,
0.025709226727485657,
0.0018418217077851295,
0.01580120623111725,
0.0406954400241375,
-0.08157660067081451,
0.07381273806095123,
0.10745423287153244,
-0.02894950658082962,
-0.034411072731018066,
0.0364498645067215,
-0.07772259414196014,
0.06507259607315063,
-0.05770808085799217,
0.0274260975420475,
-0.020649095997214317,
-0.06391903758049011,
-0.05061520263552666,
0.026065392419695854,
-0.045386191457509995,
-0.018844371661543846,
-0.021028926596045494,
-0.10852601379156113,
-0.08158960193395615,
0.13638442754745483,
0.0016736772377043962,
-0.055971767753362656,
0.03560353443026543,
-0.04864376410841942,
0.11462686210870743,
-0.023212842643260956,
-0.03689779341220856,
0.0318610817193985
] | null | null | null | null | null | null | null |
[
-0.12143435329198837,
0.04576381668448448,
0.0024043270386755466,
0.046026185154914856,
0.0123515073210001,
-0.08003361523151398,
-0.06755875796079636,
0.03837370499968529,
-0.03688650205731392,
-0.04380497708916664,
0.015926707535982132,
0.010120796039700508,
-0.0457611083984375,
0.0024447734467685223,
0.013101823627948761,
-0.004715091548860073,
0.03879798948764801,
-0.001237096032127738,
-0.049152154475450516,
-0.07815462350845337,
-0.09660591185092926,
-0.02477435953915119,
0.004798420704901218,
0.0526055283844471,
0.04950087517499924,
-0.07162071019411087,
-0.013899794779717922,
-0.025229156017303467,
0.014364736154675484,
-0.03306446596980095,
0.07557052373886108,
-0.051257744431495667,
-0.006136004813015461,
-0.0017022578977048397,
-0.021940700709819794,
0.07346469163894653,
0.05154864490032196,
-0.10091527551412582,
0.05102415382862091,
-0.00891473051160574,
0.09167130291461945,
0.008830711245536804,
0.06374143064022064,
-0.004648714326322079,
0.08744271099567413,
-0.038366805762052536,
-0.033430229872465134,
0.01981160044670105,
-0.02444893680512905,
0.003158395178616047,
0.0010512755252420902,
-0.045468542724847794,
-0.01103726215660572,
-0.083137147128582,
-0.05522929131984711,
0.025913091376423836,
0.012622210197150707,
-0.08231527358293533,
0.019486134871840477,
0.0219930000603199,
0.002509603975340724,
0.04211247339844704,
-0.02812265045940876,
-0.01231219619512558,
-0.02629629522562027,
-0.04946189001202583,
0.03196236863732338,
-0.041405029594898224,
0.0707574188709259,
0.09947960078716278,
0.003435023594647646,
0.021209511905908585,
-0.05600689351558685,
-0.03322108834981918,
0.10156852006912231,
-0.03566906601190567,
0.0012623899383470416,
0.026768840849399567,
0.05296971648931503,
-0.01634685881435871,
-0.03316471353173256,
-0.08957928419113159,
-0.029119886457920074,
0.020458443090319633,
-0.021423470228910446,
0.02554483711719513,
-0.023341743275523186,
0.00016960890206974,
-0.06042596697807312,
-0.06311223655939102,
-0.03102676384150982,
-0.11750536412000656,
-0.100410595536232,
0.002348543144762516,
-0.060578178614377975,
0.08203940093517303,
0.08788716793060303,
-0.00841495767235756,
-0.030346272513270378,
0.04035412520170212,
0.019853956997394562,
-0.04249954596161842,
0.04887227341532707,
0.0652121976017952,
-0.0023416539188474417,
0.01646287553012371,
-0.0033419104292988777,
0.06555350124835968,
0.06406543403863907,
-0.05342620238661766,
0.11021876335144043,
-0.016916727647185326,
0.061093706637620926,
-0.03201666101813316,
-0.017633909359574318,
0.004338450729846954,
-0.03072265535593033,
-0.014516563154757023,
0.01251125242561102,
-0.01891464926302433,
-0.032323140650987625,
0.025938816368579865,
0.01403597928583622,
0.001101367874071002,
0.0371796190738678,
0.002152978675439954,
-0.08221976459026337,
1.1299229143993037e-33,
0.07966011017560959,
-0.007572985254228115,
0.04548630490899086,
0.004270483739674091,
-0.04412710294127464,
0.03133118897676468,
-0.009101108647882938,
0.0023957286030054092,
-0.024397732689976692,
0.08453072607517242,
-0.019109822809696198,
-0.029658937826752663,
0.012005574069917202,
-0.005972118582576513,
-0.027005553245544434,
-0.030899813398718834,
-0.006297202780842781,
0.05299089476466179,
-0.025734130293130875,
0.04179873690009117,
0.07227465510368347,
-0.03370979055762291,
-0.03610793873667717,
-0.018250184133648872,
0.10228218138217926,
0.0875466912984848,
-0.021096665412187576,
0.05408871918916702,
-0.06742317229509354,
0.00839595589786768,
0.020592624321579933,
0.12471972405910492,
0.02283979393541813,
0.0958409234881401,
-0.07301188260316849,
-0.028922902420163155,
-0.0806809589266777,
-0.024917496368288994,
0.028642412275075912,
-0.1013876348733902,
0.05564519390463829,
0.10489246994256973,
-0.0408724844455719,
-0.09358148276805878,
-0.011330398730933666,
-0.028466355055570602,
0.02174893021583557,
0.06827350705862045,
0.038648732006549835,
-0.02681390941143036,
0.012469648383557796,
0.020993776619434357,
-0.05943223088979721,
0.07681167870759964,
0.02725970186293125,
-0.006742370314896107,
0.08230675756931305,
-0.014094755984842777,
0.038167502731084824,
0.05208662152290344,
0.025725876912474632,
0.02259291335940361,
-0.03812277689576149,
0.06712475419044495,
-0.02943894825875759,
0.02215149812400341,
-0.014677220024168491,
0.01299614179879427,
0.01934773102402687,
0.04437868297100067,
-0.08646465092897415,
0.05554279312491417,
-0.03178732469677925,
-0.13465039432048798,
0.03725513070821762,
-0.02802065759897232,
-0.029023785144090652,
-0.05183761939406395,
0.08917082101106644,
-0.0007828992092981935,
0.021144885569810867,
-0.04167203605175018,
0.003100597532466054,
0.009600847028195858,
-0.06634547561407089,
-0.010221689008176327,
-0.022152366116642952,
0.007596187759190798,
-0.02919897995889187,
-0.031012320891022682,
-0.04112892970442772,
0.01645530015230179,
0.04452327638864517,
-0.07337668538093567,
-0.023649772629141808,
-3.292638655179923e-33,
-0.03993485867977142,
0.05878743156790733,
0.021325960755348206,
0.08115756511688232,
0.038041017949581146,
-0.021521199494600296,
-0.06197560206055641,
-0.053311072289943695,
-0.01638306863605976,
0.07662691920995712,
0.027151145040988922,
0.009580583311617374,
-0.05103756859898567,
-0.052872076630592346,
0.04835917428135872,
0.00614522397518158,
-0.007831200957298279,
-0.03513602539896965,
-0.01941879279911518,
0.019791409373283386,
0.0548747293651104,
-0.011219749227166176,
0.0021439259871840477,
-0.055433083325624466,
0.07536844909191132,
-0.027220359072089195,
0.0021357557270675898,
-0.1353578269481659,
0.0705813318490982,
-0.016772890463471413,
-0.11858998984098434,
-0.011778315529227257,
0.003189777722582221,
-0.047280870378017426,
0.019559243693947792,
0.0114463334903121,
0.03164603188633919,
0.0508631095290184,
0.07362636178731918,
-0.09759217500686646,
0.020534811541438103,
0.07559426128864288,
-0.09364606440067291,
0.0882875844836235,
0.05827469378709793,
0.08400287479162216,
-0.03201161324977875,
0.07743550091981888,
-0.07441578060388565,
0.0549493283033371,
-0.08144368976354599,
-0.0358746238052845,
0.04999956488609314,
-0.008530370891094208,
-0.10661019384860992,
0.012682530097663403,
-0.0002686108637135476,
0.04633016139268875,
0.00409990269690752,
-0.023520540446043015,
-0.10189182311296463,
-0.05093562230467796,
0.003131511155515909,
0.0888458713889122,
-0.04420020058751106,
0.04921773076057434,
-0.058944638818502426,
0.07831619679927826,
0.00010563556861598045,
-0.013750217854976654,
-0.015088314190506935,
-0.023488596081733704,
0.02248173952102661,
0.0018567077349871397,
0.03386714681982994,
-0.057308170944452286,
0.018759293481707573,
-0.085246741771698,
0.11680087447166443,
-0.014946983195841312,
-0.03468106687068939,
0.032736461609601974,
-0.010661098174750805,
0.001979057677090168,
0.10887221246957779,
0.006628445349633694,
-0.11389905959367752,
0.08705134689807892,
0.013852293603122234,
0.052132055163383484,
-0.0038682548329234123,
0.007914548739790916,
0.029437346383929253,
0.004416518844664097,
0.014278942719101906,
-4.410885878769477e-8,
-0.06296740472316742,
-0.0014267737278714776,
-0.041237831115722656,
0.006556155625730753,
0.005581929814070463,
0.013499290682375431,
-0.016185911372303963,
0.06499172747135162,
-0.02497336082160473,
0.08496280014514923,
0.06893680989742279,
0.06118690222501755,
-0.08725055307149887,
-0.018507571890950203,
0.060879338532686234,
0.006076612509787083,
0.02491910569369793,
-0.0129134776070714,
-0.07251881808042526,
-0.007396763656288385,
-0.027774717658758163,
0.012395983561873436,
0.06183972954750061,
-0.003923100885003805,
-0.0312810018658638,
-0.023045457899570465,
-0.017218828201293945,
0.07592710852622986,
-0.015960069373250008,
0.010005530901253223,
-0.03183118626475334,
-0.02490812912583351,
0.025709226727485657,
0.0018418217077851295,
0.01580120623111725,
0.0406954400241375,
-0.08157660067081451,
0.07381273806095123,
0.10745423287153244,
-0.02894950658082962,
-0.034411072731018066,
0.0364498645067215,
-0.07772259414196014,
0.06507259607315063,
-0.05770808085799217,
0.0274260975420475,
-0.020649095997214317,
-0.06391903758049011,
-0.05061520263552666,
0.026065392419695854,
-0.045386191457509995,
-0.018844371661543846,
-0.021028926596045494,
-0.10852601379156113,
-0.08158960193395615,
0.13638442754745483,
0.0016736772377043962,
-0.055971767753362656,
0.03560353443026543,
-0.04864376410841942,
0.11462686210870743,
-0.023212842643260956,
-0.03689779341220856,
0.0318610817193985
] |
1401.6304
|
Natalia Dueck
|
Natalia D\"uck and Karl-Heinz Zimmermann
|
Graver Bases and Universal Gr\"obner Bases for Linear Codes
|
18 pages
| null | null | null |
math.AC cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two correspondences have been provided that associate any linear code over a
finite field with a binomial ideal. In this paper, algorithms for computing
their Graver bases and universal Gr\"obner bases are given. To this end, a
connection between these binomial ideals and toric ideals will be established.
|
[
{
"created": "Fri, 24 Jan 2014 10:28:00 GMT",
"version": "v1"
},
{
"created": "Wed, 7 May 2014 11:59:28 GMT",
"version": "v2"
}
] |
2014-05-08
|
[
[
"Dück",
"Natalia",
""
],
[
"Zimmermann",
"Karl-Heinz",
""
]
] |
[
-0.06211433932185173,
0.04258214309811592,
-0.07063938677310944,
-0.054037321358919144,
-0.08221296966075897,
-0.02171071618795395,
0.08945531398057938,
-0.04973297938704491,
-0.00787829328328371,
-0.01639881730079651,
0.0160925704985857,
0.03122522123157978,
0.0452721044421196,
-0.0871860682964325,
-0.07925216853618622,
0.10555613040924072,
-0.1030169203877449,
0.08010698109865189,
-0.01664242520928383,
0.08681529760360718,
-0.012926345691084862,
-0.03508714586496353,
-0.04416744038462639,
0.040110621601343155,
0.03200091794133186,
0.07840884476900101,
0.04856017231941223,
0.10471161454916,
0.03097536601126194,
-0.033406395465135574,
0.023574067279696465,
0.08861298114061356,
0.08197375386953354,
0.07573213428258896,
-0.014186247251927853,
0.047889601439237595,
0.0020360571797937155,
-0.003536778502166271,
0.026224030181765556,
-0.006111851427704096,
0.02311841957271099,
-0.037568192929029465,
0.015315202064812183,
-0.005952644161880016,
0.012370503507554531,
-0.008178218267858028,
0.027268636971712112,
0.011766384355723858,
-0.0595625564455986,
-0.1294529139995575,
0.022143619135022163,
0.029583530500531197,
0.015954721719026566,
0.030283939093351364,
-0.02363053895533085,
-0.08245550841093063,
0.02558429166674614,
-0.08069610595703125,
-0.01750841923058033,
-0.005589758977293968,
-0.03409530594944954,
0.018857799470424652,
-0.017662566155195236,
-0.0672917440533638,
-0.053385816514492035,
0.09146273881196976,
-0.023388411849737167,
-0.004601772408932447,
-0.04710013419389725,
-0.027105221524834633,
-0.058574825525283813,
-0.049830131232738495,
-0.10520225763320923,
0.07411909848451614,
-0.11607016623020172,
0.015783371403813362,
0.019221652299165726,
-0.0615856759250164,
-0.030734607949852943,
0.026839029043912888,
-0.027125535532832146,
-0.026416778564453125,
0.0551862008869648,
0.018773993477225304,
0.04884502664208412,
0.005090505350381136,
-0.0157795287668705,
0.02555006928741932,
0.06412375718355179,
0.03894832730293274,
0.021964287385344505,
-0.05844338238239288,
0.014121863059699535,
0.09134575724601746,
0.02168840914964676,
-0.027556054294109344,
0.08421061187982559,
0.037994321435689926,
0.009733371436595917,
0.05148061364889145,
0.01131365541368723,
-0.0346260666847229,
-0.05571829900145531,
-0.005697385407984257,
-0.001193380099721253,
0.09374160319566727,
0.0629710778594017,
0.03335031867027283,
-0.022551823407411575,
-0.08530789613723755,
-0.07215401530265808,
-0.010396808385848999,
-0.05052286759018898,
-0.008412269875407219,
-0.03883465379476547,
0.005460110493004322,
0.049369264394044876,
0.09361958503723145,
0.05444382131099701,
-0.014955680817365646,
0.06418245285749435,
-0.009573408402502537,
-0.02695385366678238,
0.02313125692307949,
-0.07529688626527786,
-0.05883094295859337,
-0.08275074511766434,
2.9250288782411616e-33,
0.015697909519076347,
0.13096287846565247,
0.012687230482697487,
0.016483884304761887,
-0.0009056647541001439,
0.06097555533051491,
0.004619963932782412,
-0.011229902505874634,
0.042313989251852036,
-0.04222714528441429,
-0.04052005335688591,
0.001672159181907773,
0.04159003868699074,
-0.03650771081447601,
0.006307653617113829,
-0.004424812737852335,
0.018964240327477455,
-0.0038498069625347853,
0.05842391029000282,
-0.041330330073833466,
0.05301098898053169,
0.09798825532197952,
-0.020922066643834114,
-0.013800570741295815,
0.020571229979395866,
0.08149664849042892,
-0.005763225723057985,
-0.08823519945144653,
0.02807399444282055,
0.016197631135582924,
0.012725812382996082,
0.05549921095371246,
-0.002128712832927704,
-0.001998018706217408,
0.06887312233448029,
0.01389222964644432,
0.013975497335195541,
-0.03758881613612175,
-0.026538103818893433,
0.0011416353518143296,
0.03801387920975685,
-0.0255667045712471,
0.08123395591974258,
-0.007012763526290655,
-0.015408225357532501,
-0.02029420994222164,
-0.019049085676670074,
0.08882138133049011,
0.046304360032081604,
0.016407271847128868,
0.02596759982407093,
-0.044690653681755066,
-0.12435740232467651,
0.0866336077451706,
0.042679090052843094,
0.0027181378100067377,
-0.06171387434005737,
0.030640793964266777,
0.1057073324918747,
0.13532845675945282,
-0.029324017465114594,
-0.016286157071590424,
-0.04737040400505066,
-0.04798661544919014,
-0.04468674212694168,
0.017280003055930138,
-0.018442094326019287,
-0.07109255343675613,
0.021475452929735184,
0.06582856178283691,
-0.05396577715873718,
0.0797828882932663,
-0.027145983651280403,
0.08079717308282852,
0.008450512774288654,
0.04253130033612251,
0.02588079683482647,
-0.1234235092997551,
-0.05692135542631149,
-0.019702523946762085,
-0.013378757052123547,
0.06521143764257431,
0.0055398354306817055,
-0.030858492478728294,
0.032402440905570984,
-0.033552512526512146,
-0.013449220918118954,
-0.015797965228557587,
-0.07502633333206177,
-0.07278726994991302,
-0.017797917127609253,
0.01790078915655613,
-0.0067045907489955425,
-0.06153137609362602,
0.02089795097708702,
-3.819547753122275e-33,
0.053999170660972595,
-0.05853627249598503,
0.016306160017848015,
0.06032821163535118,
-0.054225169122219086,
-0.043261513113975525,
0.04523265361785889,
-0.07979521155357361,
0.00008340609929291531,
0.06548231095075607,
-0.014113587327301502,
-0.017464444041252136,
-0.0031432125251740217,
0.0007404550560750067,
0.12001078575849533,
-0.07570609450340271,
-0.04215431213378906,
-0.015315099619328976,
0.010519874282181263,
-0.03208712115883827,
-0.01816066913306713,
0.07691603153944016,
-0.057344917207956314,
-0.06740568578243256,
-0.022500749677419662,
-0.0002697054296731949,
-0.08531703799962997,
0.09703314304351807,
0.056404758244752884,
0.0065830606035888195,
0.07383497804403305,
-0.08768013119697571,
-0.06263222545385361,
0.012052351608872414,
0.053638845682144165,
0.07138292491436005,
-0.03503328189253807,
0.05289240553975105,
-0.003183751367032528,
0.012538629584014416,
-0.08196550607681274,
-0.04984170198440552,
0.007795335259288549,
0.03799235075712204,
0.014940250664949417,
-0.07132979482412338,
-0.04410757124423981,
0.07964176684617996,
0.057845134288072586,
-0.06783141195774078,
0.0071292719803750515,
-0.024744223803281784,
0.03373323380947113,
0.0015540393069386482,
0.04670083522796631,
0.013736056163907051,
-0.020975882187485695,
-0.03459637239575386,
0.03532341122627258,
-0.02829892188310623,
0.08421341329813004,
-0.014601576142013073,
0.045858826488256454,
-0.0038149997126311064,
0.024779250845313072,
-0.08812399953603745,
0.005479232873767614,
-0.010066904127597809,
-0.07153734564781189,
0.034114204347133636,
0.006155885756015778,
-0.04970148950815201,
-0.05436641350388527,
0.04839261621236801,
-0.03427146002650261,
-0.01279517076909542,
-0.00794832594692707,
0.07090924680233002,
0.06149912625551224,
-0.0018631195416674018,
0.028456388041377068,
-0.012220011092722416,
-0.027428414672613144,
-0.046371787786483765,
0.00443132221698761,
-0.001124350936152041,
0.0776870921254158,
-0.020326025784015656,
0.035524316132068634,
-0.1319236010313034,
0.02792518027126789,
0.02629544585943222,
0.03572255000472069,
0.028754068538546562,
0.03063015639781952,
-3.026681127948905e-8,
-0.018256230279803276,
-0.09614956378936768,
-0.09696529060602188,
-0.03716804087162018,
0.08994240313768387,
-0.05946725234389305,
0.011489574797451496,
-0.0554874949157238,
-0.02785649336874485,
-0.051346924155950546,
0.08298041671514511,
-0.008470684289932251,
-0.02382647432386875,
-0.06157740578055382,
0.04458779841661453,
0.006774486042559147,
0.026531537994742393,
-0.004837969783693552,
0.026692120358347893,
0.0437234491109848,
0.023333562538027763,
0.015715237706899643,
-0.07083573937416077,
-0.013599969446659088,
-0.05705022066831589,
-0.07230887562036514,
0.05354507267475128,
0.0183216854929924,
-0.014033728279173374,
0.086164191365242,
0.11752577871084213,
0.010814474895596504,
0.10325184464454651,
-0.016153231263160706,
0.0021060779690742493,
0.08497226983308792,
-0.04636787995696068,
-0.07806466519832611,
0.015374891459941864,
-0.000180877759703435,
0.0375484898686409,
-0.06104595214128494,
-0.04822240024805069,
-0.02393219992518425,
0.08486022055149078,
-0.025134792551398277,
0.06320996582508087,
-0.029378091916441917,
-0.08602558821439743,
0.05748717486858368,
0.047129519283771515,
0.03819175809621811,
-0.04415426775813103,
-0.0049870857037603855,
-0.07569172978401184,
0.03183981776237488,
-0.05050028860569,
-0.03315264359116554,
0.004936144221574068,
-0.03868158906698227,
-0.10025972127914429,
0.01680240035057068,
-0.010291256941854954,
-0.025702612474560738
] | null | null | null | null | null | null | null |
[
-0.06211433932185173,
0.04258214309811592,
-0.07063938677310944,
-0.054037321358919144,
-0.08221296966075897,
-0.02171071618795395,
0.08945531398057938,
-0.04973297938704491,
-0.00787829328328371,
-0.01639881730079651,
0.0160925704985857,
0.03122522123157978,
0.0452721044421196,
-0.0871860682964325,
-0.07925216853618622,
0.10555613040924072,
-0.1030169203877449,
0.08010698109865189,
-0.01664242520928383,
0.08681529760360718,
-0.012926345691084862,
-0.03508714586496353,
-0.04416744038462639,
0.040110621601343155,
0.03200091794133186,
0.07840884476900101,
0.04856017231941223,
0.10471161454916,
0.03097536601126194,
-0.033406395465135574,
0.023574067279696465,
0.08861298114061356,
0.08197375386953354,
0.07573213428258896,
-0.014186247251927853,
0.047889601439237595,
0.0020360571797937155,
-0.003536778502166271,
0.026224030181765556,
-0.006111851427704096,
0.02311841957271099,
-0.037568192929029465,
0.015315202064812183,
-0.005952644161880016,
0.012370503507554531,
-0.008178218267858028,
0.027268636971712112,
0.011766384355723858,
-0.0595625564455986,
-0.1294529139995575,
0.022143619135022163,
0.029583530500531197,
0.015954721719026566,
0.030283939093351364,
-0.02363053895533085,
-0.08245550841093063,
0.02558429166674614,
-0.08069610595703125,
-0.01750841923058033,
-0.005589758977293968,
-0.03409530594944954,
0.018857799470424652,
-0.017662566155195236,
-0.0672917440533638,
-0.053385816514492035,
0.09146273881196976,
-0.023388411849737167,
-0.004601772408932447,
-0.04710013419389725,
-0.027105221524834633,
-0.058574825525283813,
-0.049830131232738495,
-0.10520225763320923,
0.07411909848451614,
-0.11607016623020172,
0.015783371403813362,
0.019221652299165726,
-0.0615856759250164,
-0.030734607949852943,
0.026839029043912888,
-0.027125535532832146,
-0.026416778564453125,
0.0551862008869648,
0.018773993477225304,
0.04884502664208412,
0.005090505350381136,
-0.0157795287668705,
0.02555006928741932,
0.06412375718355179,
0.03894832730293274,
0.021964287385344505,
-0.05844338238239288,
0.014121863059699535,
0.09134575724601746,
0.02168840914964676,
-0.027556054294109344,
0.08421061187982559,
0.037994321435689926,
0.009733371436595917,
0.05148061364889145,
0.01131365541368723,
-0.0346260666847229,
-0.05571829900145531,
-0.005697385407984257,
-0.001193380099721253,
0.09374160319566727,
0.0629710778594017,
0.03335031867027283,
-0.022551823407411575,
-0.08530789613723755,
-0.07215401530265808,
-0.010396808385848999,
-0.05052286759018898,
-0.008412269875407219,
-0.03883465379476547,
0.005460110493004322,
0.049369264394044876,
0.09361958503723145,
0.05444382131099701,
-0.014955680817365646,
0.06418245285749435,
-0.009573408402502537,
-0.02695385366678238,
0.02313125692307949,
-0.07529688626527786,
-0.05883094295859337,
-0.08275074511766434,
2.9250288782411616e-33,
0.015697909519076347,
0.13096287846565247,
0.012687230482697487,
0.016483884304761887,
-0.0009056647541001439,
0.06097555533051491,
0.004619963932782412,
-0.011229902505874634,
0.042313989251852036,
-0.04222714528441429,
-0.04052005335688591,
0.001672159181907773,
0.04159003868699074,
-0.03650771081447601,
0.006307653617113829,
-0.004424812737852335,
0.018964240327477455,
-0.0038498069625347853,
0.05842391029000282,
-0.041330330073833466,
0.05301098898053169,
0.09798825532197952,
-0.020922066643834114,
-0.013800570741295815,
0.020571229979395866,
0.08149664849042892,
-0.005763225723057985,
-0.08823519945144653,
0.02807399444282055,
0.016197631135582924,
0.012725812382996082,
0.05549921095371246,
-0.002128712832927704,
-0.001998018706217408,
0.06887312233448029,
0.01389222964644432,
0.013975497335195541,
-0.03758881613612175,
-0.026538103818893433,
0.0011416353518143296,
0.03801387920975685,
-0.0255667045712471,
0.08123395591974258,
-0.007012763526290655,
-0.015408225357532501,
-0.02029420994222164,
-0.019049085676670074,
0.08882138133049011,
0.046304360032081604,
0.016407271847128868,
0.02596759982407093,
-0.044690653681755066,
-0.12435740232467651,
0.0866336077451706,
0.042679090052843094,
0.0027181378100067377,
-0.06171387434005737,
0.030640793964266777,
0.1057073324918747,
0.13532845675945282,
-0.029324017465114594,
-0.016286157071590424,
-0.04737040400505066,
-0.04798661544919014,
-0.04468674212694168,
0.017280003055930138,
-0.018442094326019287,
-0.07109255343675613,
0.021475452929735184,
0.06582856178283691,
-0.05396577715873718,
0.0797828882932663,
-0.027145983651280403,
0.08079717308282852,
0.008450512774288654,
0.04253130033612251,
0.02588079683482647,
-0.1234235092997551,
-0.05692135542631149,
-0.019702523946762085,
-0.013378757052123547,
0.06521143764257431,
0.0055398354306817055,
-0.030858492478728294,
0.032402440905570984,
-0.033552512526512146,
-0.013449220918118954,
-0.015797965228557587,
-0.07502633333206177,
-0.07278726994991302,
-0.017797917127609253,
0.01790078915655613,
-0.0067045907489955425,
-0.06153137609362602,
0.02089795097708702,
-3.819547753122275e-33,
0.053999170660972595,
-0.05853627249598503,
0.016306160017848015,
0.06032821163535118,
-0.054225169122219086,
-0.043261513113975525,
0.04523265361785889,
-0.07979521155357361,
0.00008340609929291531,
0.06548231095075607,
-0.014113587327301502,
-0.017464444041252136,
-0.0031432125251740217,
0.0007404550560750067,
0.12001078575849533,
-0.07570609450340271,
-0.04215431213378906,
-0.015315099619328976,
0.010519874282181263,
-0.03208712115883827,
-0.01816066913306713,
0.07691603153944016,
-0.057344917207956314,
-0.06740568578243256,
-0.022500749677419662,
-0.0002697054296731949,
-0.08531703799962997,
0.09703314304351807,
0.056404758244752884,
0.0065830606035888195,
0.07383497804403305,
-0.08768013119697571,
-0.06263222545385361,
0.012052351608872414,
0.053638845682144165,
0.07138292491436005,
-0.03503328189253807,
0.05289240553975105,
-0.003183751367032528,
0.012538629584014416,
-0.08196550607681274,
-0.04984170198440552,
0.007795335259288549,
0.03799235075712204,
0.014940250664949417,
-0.07132979482412338,
-0.04410757124423981,
0.07964176684617996,
0.057845134288072586,
-0.06783141195774078,
0.0071292719803750515,
-0.024744223803281784,
0.03373323380947113,
0.0015540393069386482,
0.04670083522796631,
0.013736056163907051,
-0.020975882187485695,
-0.03459637239575386,
0.03532341122627258,
-0.02829892188310623,
0.08421341329813004,
-0.014601576142013073,
0.045858826488256454,
-0.0038149997126311064,
0.024779250845313072,
-0.08812399953603745,
0.005479232873767614,
-0.010066904127597809,
-0.07153734564781189,
0.034114204347133636,
0.006155885756015778,
-0.04970148950815201,
-0.05436641350388527,
0.04839261621236801,
-0.03427146002650261,
-0.01279517076909542,
-0.00794832594692707,
0.07090924680233002,
0.06149912625551224,
-0.0018631195416674018,
0.028456388041377068,
-0.012220011092722416,
-0.027428414672613144,
-0.046371787786483765,
0.00443132221698761,
-0.001124350936152041,
0.0776870921254158,
-0.020326025784015656,
0.035524316132068634,
-0.1319236010313034,
0.02792518027126789,
0.02629544585943222,
0.03572255000472069,
0.028754068538546562,
0.03063015639781952,
-3.026681127948905e-8,
-0.018256230279803276,
-0.09614956378936768,
-0.09696529060602188,
-0.03716804087162018,
0.08994240313768387,
-0.05946725234389305,
0.011489574797451496,
-0.0554874949157238,
-0.02785649336874485,
-0.051346924155950546,
0.08298041671514511,
-0.008470684289932251,
-0.02382647432386875,
-0.06157740578055382,
0.04458779841661453,
0.006774486042559147,
0.026531537994742393,
-0.004837969783693552,
0.026692120358347893,
0.0437234491109848,
0.023333562538027763,
0.015715237706899643,
-0.07083573937416077,
-0.013599969446659088,
-0.05705022066831589,
-0.07230887562036514,
0.05354507267475128,
0.0183216854929924,
-0.014033728279173374,
0.086164191365242,
0.11752577871084213,
0.010814474895596504,
0.10325184464454651,
-0.016153231263160706,
0.0021060779690742493,
0.08497226983308792,
-0.04636787995696068,
-0.07806466519832611,
0.015374891459941864,
-0.000180877759703435,
0.0375484898686409,
-0.06104595214128494,
-0.04822240024805069,
-0.02393219992518425,
0.08486022055149078,
-0.025134792551398277,
0.06320996582508087,
-0.029378091916441917,
-0.08602558821439743,
0.05748717486858368,
0.047129519283771515,
0.03819175809621811,
-0.04415426775813103,
-0.0049870857037603855,
-0.07569172978401184,
0.03183981776237488,
-0.05050028860569,
-0.03315264359116554,
0.004936144221574068,
-0.03868158906698227,
-0.10025972127914429,
0.01680240035057068,
-0.010291256941854954,
-0.025702612474560738
] |
1401.6307
|
Florent Capelli
|
Florent Capelli, Arnaud Durand, Stefan Mengel
|
Hypergraph Acyclicity and Propositional Model Counting
| null | null | null | null |
cs.CC cs.AI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the propositional model counting problem #SAT for CNF- formulas
with hypergraphs that allow a disjoint branches decomposition can be solved in
polynomial time. We show that this class of hypergraphs is incomparable to
hypergraphs of bounded incidence cliquewidth which were the biggest class of
hypergraphs for which #SAT was known to be solvable in polynomial time so far.
Furthermore, we present a polynomial time algorithm that computes a disjoint
branches decomposition of a given hypergraph if it exists and rejects
otherwise. Finally, we show that some slight extensions of the class of
hypergraphs with disjoint branches decompositions lead to intractable #SAT,
leaving open how to generalize the counting result of this paper.
|
[
{
"created": "Fri, 24 Jan 2014 10:33:23 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Capelli",
"Florent",
""
],
[
"Durand",
"Arnaud",
""
],
[
"Mengel",
"Stefan",
""
]
] |
[
0.04033852368593216,
-0.017483796924352646,
0.010792099870741367,
-0.04180474579334259,
0.05576685816049576,
0.03331900015473366,
0.0029339625034481287,
-0.0021590834949165583,
0.04154668003320694,
0.07943125814199448,
-0.04644104838371277,
0.021658319979906082,
0.03315810486674309,
0.08045105636119843,
-0.0034003255423158407,
0.06167946383357048,
-0.05666400119662285,
-0.03926936909556389,
-0.009922249242663383,
0.02491774410009384,
0.05416465923190117,
0.04368551820516586,
-0.07113739103078842,
-0.021060297265648842,
0.02486606314778328,
-0.06892374157905579,
-0.008324920199811459,
-0.049009401351213455,
0.06250762194395065,
0.012840339913964272,
-0.009530935436487198,
0.05584578216075897,
-0.06344053894281387,
0.0786794051527977,
0.03998460993170738,
-0.050276245921850204,
-0.0038295788690447807,
-0.07180117070674896,
0.0320187509059906,
0.0697687417268753,
0.07372946292161942,
-0.024187536910176277,
-0.010870940051972866,
0.02427024580538273,
0.046409931033849716,
0.11559592187404633,
-0.039621349424123764,
0.07232985645532608,
-0.0774490237236023,
-0.045501742511987686,
-0.03405464440584183,
0.032080184668302536,
-0.07756412774324417,
0.046867601573467255,
0.033165860921144485,
-0.08530591428279877,
-0.00041994309867732227,
-0.08534705638885498,
-0.03731347247958183,
0.06145676597952843,
0.014189349487423897,
-0.028706319630146027,
-0.04267704486846924,
-0.08690334856510162,
-0.007548551540821791,
0.08088386803865433,
0.010481782257556915,
0.034967146813869476,
0.01643628254532814,
0.12169130146503448,
0.004198771435767412,
0.042934827506542206,
-0.11868952959775925,
0.034445516765117645,
-0.05286460369825363,
0.03319590538740158,
0.0586419440805912,
-0.018169492483139038,
0.009220469743013382,
-0.10875478386878967,
-0.0777544230222702,
-0.02743064984679222,
-0.03558313101530075,
0.0006832750514149666,
0.03803618252277374,
-0.04221980273723602,
-0.042492009699344635,
0.004639541730284691,
0.03297719359397888,
0.009347162209451199,
-0.08097487688064575,
0.021317552775144577,
0.06341873109340668,
0.036862537264823914,
-0.0430595763027668,
0.010813930071890354,
0.011169004254043102,
0.06936632841825485,
0.027094164863228798,
0.07323145121335983,
-0.06222746521234512,
0.07895645499229431,
0.02164679579436779,
-0.06136518716812134,
-0.10044783353805542,
0.11978135257959366,
0.010730298236012459,
0.03764937445521355,
-0.062598317861557,
-0.06382443010807037,
0.010206724517047405,
0.061845563352108,
0.03711988404393196,
0.026774108409881592,
-0.009109889157116413,
-0.039629437029361725,
0.10814560949802399,
0.006390159949660301,
0.08785098791122437,
-0.01825476437807083,
0.03787403181195259,
0.04095596447587013,
0.03338949754834175,
0.00824008323252201,
0.020332539454102516,
-0.02470686472952366,
0.005347845610231161,
4.435288959156267e-33,
0.04008730873465538,
0.07982493191957474,
0.03126521408557892,
-0.015588466078042984,
0.1093156710267067,
0.039515480399131775,
0.055789921432733536,
0.02065274305641651,
0.011870834045112133,
0.04229666665196419,
-0.040512703359127045,
0.0026643152814358473,
0.027996543794870377,
-0.001325246412307024,
0.06710756570100784,
0.013033743016421795,
0.011555586941540241,
-0.013112314976751804,
-0.10664593428373337,
-0.03755694255232811,
0.033502183854579926,
-0.0235368013381958,
0.021713372319936752,
0.06330536305904388,
-0.04066930338740349,
0.032751113176345825,
0.017974622547626495,
-0.033187057822942734,
-0.011869090609252453,
0.002350046532228589,
-0.059687983244657516,
-0.03885659575462341,
-0.0033910998608917,
0.10212387144565582,
-0.0026703965850174427,
-0.003587680170312524,
-0.031489189714193344,
-0.0249521154910326,
0.038150954991579056,
-0.05693111568689346,
-0.03945000097155571,
0.020077476277947426,
0.04299488291144371,
-0.007274542935192585,
-0.06208508461713791,
-0.013324817642569542,
-0.038349512964487076,
-0.003954351879656315,
0.010403862223029137,
0.03238954395055771,
0.038286540657281876,
-0.03075084649026394,
0.03520450368523598,
-0.024176735430955887,
-0.005717064719647169,
-0.03630199283361435,
0.013864623382687569,
0.07042039930820465,
0.01856105774641037,
0.08148415386676788,
0.020045075565576553,
-0.01637558452785015,
-0.04097457975149155,
0.021894337609410286,
-0.03637809678912163,
0.07309755682945251,
-0.15038904547691345,
-0.05571424588561058,
0.1363554298877716,
-0.07167203724384308,
-0.07228449732065201,
0.0777965635061264,
-0.00433091726154089,
-0.05197945609688759,
0.023261353373527527,
-0.06809880584478378,
-0.021736299619078636,
-0.12916576862335205,
-0.03902488574385643,
0.004923448897898197,
-0.06786586344242096,
0.028453834354877472,
0.042876362800598145,
-0.004528063349425793,
0.044616542756557465,
-0.038040731102228165,
-0.0207209512591362,
0.03388874605298042,
-0.04534969478845596,
-0.08173581212759018,
0.009899756871163845,
-0.0239229928702116,
0.0392291322350502,
-0.07659026980400085,
0.04234711453318596,
-4.7447573161354194e-33,
-0.05448637902736664,
0.02805994637310505,
0.04729878157377243,
0.07601366937160492,
0.019809376448392868,
-0.08466333895921707,
-0.03449752554297447,
-0.016861826181411743,
-0.05348791927099228,
-0.046384554356336594,
0.0067574200220406055,
0.028929077088832855,
0.025230806320905685,
0.02064858004450798,
-0.031766291707754135,
0.03377058729529381,
0.009860189631581306,
-0.0508292019367218,
-0.08637271821498871,
0.010029619559645653,
0.04977158457040787,
0.11537153273820877,
-0.04154287278652191,
0.009511187672615051,
-0.0109080970287323,
0.016318462789058685,
-0.009767848998308182,
0.022562377154827118,
0.013000467792153358,
0.046010829508304596,
0.024886634200811386,
-0.062355075031518936,
-0.09228022396564484,
-0.07449313253164291,
0.05245882645249367,
-0.026038656011223793,
0.06289023160934448,
0.05802157148718834,
-0.04525057226419449,
0.012635494582355022,
0.016164563596248627,
-0.05114671215415001,
-0.055817753076553345,
0.03322356566786766,
-0.007664910051971674,
0.0439930334687233,
-0.047504931688308716,
-0.006515175104141235,
-0.049314018338918686,
-0.015233500860631466,
-0.04081928730010986,
0.02469419687986374,
0.05300670117139816,
0.014978227205574512,
-0.002058889251202345,
-0.08661562949419022,
-0.04782494902610779,
0.04509597271680832,
-0.013539190404117107,
-0.04626598209142685,
-0.03248687833547592,
0.029787784442305565,
0.006183468271046877,
0.06299126893281937,
0.06818996369838715,
-0.10324259847402573,
-0.042592279613018036,
-0.02034946344792843,
-0.0651821568608284,
0.02133357524871826,
-0.030163269490003586,
-0.01130767073482275,
-0.10695917159318924,
0.023780038580298424,
-0.003683818969875574,
0.0768093690276146,
-0.00671724509447813,
0.05784592404961586,
-0.05199524015188217,
0.020506979897618294,
-0.05820760503411293,
-0.05686899274587631,
0.025837047025561333,
-0.02406250685453415,
0.017989516258239746,
-0.03564770892262459,
0.07073809951543808,
-0.007560483179986477,
-0.03567634895443916,
0.006110214162617922,
0.00632097665220499,
-0.013282682746648788,
0.054069776087999344,
0.03833678364753723,
0.0018151981057599187,
-4.121189078887255e-8,
-0.060188405215740204,
-0.03144979849457741,
-0.09277249127626419,
-0.08569245785474777,
0.020802896469831467,
-0.03487144038081169,
0.03810657188296318,
0.10129339247941971,
-0.031695954501628876,
0.04771266132593155,
0.09631793200969696,
-0.00034257001243531704,
0.040475424379110336,
0.11031308770179749,
-0.030475031584501266,
0.010288826189935207,
0.020142579451203346,
0.03668046370148659,
-0.030303366482257843,
-0.014972011558711529,
-0.010467872954905033,
-0.023564284667372704,
-0.01858511008322239,
0.05513701215386391,
0.05357350781559944,
-0.05677942931652069,
-0.022156693041324615,
-0.029954541474580765,
-0.028859185054898262,
0.06955940276384354,
0.04604453593492508,
0.0675535798072815,
0.02699834480881691,
0.054156363010406494,
0.017243504524230957,
0.11983835697174072,
-0.026947904378175735,
0.0063539789989590645,
-0.04913422092795372,
-0.03684352710843086,
-0.05587887018918991,
0.01857684925198555,
-0.13278727233409882,
0.04460844397544861,
0.13323050737380981,
-0.07139480859041214,
0.004463475663214922,
-0.025992918759584427,
-0.036690592765808105,
-0.030572906136512756,
-0.05503435432910919,
-0.008462014608085155,
-0.018807213753461838,
-0.107669897377491,
-0.09805527329444885,
0.08136236667633057,
-0.007968922145664692,
-0.07446864247322083,
0.08191797882318497,
-0.10477490723133087,
0.028899576514959335,
0.0170430950820446,
0.03302076831459999,
-0.028001120314002037
] | null | null | null | null | null | null | null |
[
0.04033852368593216,
-0.017483796924352646,
0.010792099870741367,
-0.04180474579334259,
0.05576685816049576,
0.03331900015473366,
0.0029339625034481287,
-0.0021590834949165583,
0.04154668003320694,
0.07943125814199448,
-0.04644104838371277,
0.021658319979906082,
0.03315810486674309,
0.08045105636119843,
-0.0034003255423158407,
0.06167946383357048,
-0.05666400119662285,
-0.03926936909556389,
-0.009922249242663383,
0.02491774410009384,
0.05416465923190117,
0.04368551820516586,
-0.07113739103078842,
-0.021060297265648842,
0.02486606314778328,
-0.06892374157905579,
-0.008324920199811459,
-0.049009401351213455,
0.06250762194395065,
0.012840339913964272,
-0.009530935436487198,
0.05584578216075897,
-0.06344053894281387,
0.0786794051527977,
0.03998460993170738,
-0.050276245921850204,
-0.0038295788690447807,
-0.07180117070674896,
0.0320187509059906,
0.0697687417268753,
0.07372946292161942,
-0.024187536910176277,
-0.010870940051972866,
0.02427024580538273,
0.046409931033849716,
0.11559592187404633,
-0.039621349424123764,
0.07232985645532608,
-0.0774490237236023,
-0.045501742511987686,
-0.03405464440584183,
0.032080184668302536,
-0.07756412774324417,
0.046867601573467255,
0.033165860921144485,
-0.08530591428279877,
-0.00041994309867732227,
-0.08534705638885498,
-0.03731347247958183,
0.06145676597952843,
0.014189349487423897,
-0.028706319630146027,
-0.04267704486846924,
-0.08690334856510162,
-0.007548551540821791,
0.08088386803865433,
0.010481782257556915,
0.034967146813869476,
0.01643628254532814,
0.12169130146503448,
0.004198771435767412,
0.042934827506542206,
-0.11868952959775925,
0.034445516765117645,
-0.05286460369825363,
0.03319590538740158,
0.0586419440805912,
-0.018169492483139038,
0.009220469743013382,
-0.10875478386878967,
-0.0777544230222702,
-0.02743064984679222,
-0.03558313101530075,
0.0006832750514149666,
0.03803618252277374,
-0.04221980273723602,
-0.042492009699344635,
0.004639541730284691,
0.03297719359397888,
0.009347162209451199,
-0.08097487688064575,
0.021317552775144577,
0.06341873109340668,
0.036862537264823914,
-0.0430595763027668,
0.010813930071890354,
0.011169004254043102,
0.06936632841825485,
0.027094164863228798,
0.07323145121335983,
-0.06222746521234512,
0.07895645499229431,
0.02164679579436779,
-0.06136518716812134,
-0.10044783353805542,
0.11978135257959366,
0.010730298236012459,
0.03764937445521355,
-0.062598317861557,
-0.06382443010807037,
0.010206724517047405,
0.061845563352108,
0.03711988404393196,
0.026774108409881592,
-0.009109889157116413,
-0.039629437029361725,
0.10814560949802399,
0.006390159949660301,
0.08785098791122437,
-0.01825476437807083,
0.03787403181195259,
0.04095596447587013,
0.03338949754834175,
0.00824008323252201,
0.020332539454102516,
-0.02470686472952366,
0.005347845610231161,
4.435288959156267e-33,
0.04008730873465538,
0.07982493191957474,
0.03126521408557892,
-0.015588466078042984,
0.1093156710267067,
0.039515480399131775,
0.055789921432733536,
0.02065274305641651,
0.011870834045112133,
0.04229666665196419,
-0.040512703359127045,
0.0026643152814358473,
0.027996543794870377,
-0.001325246412307024,
0.06710756570100784,
0.013033743016421795,
0.011555586941540241,
-0.013112314976751804,
-0.10664593428373337,
-0.03755694255232811,
0.033502183854579926,
-0.0235368013381958,
0.021713372319936752,
0.06330536305904388,
-0.04066930338740349,
0.032751113176345825,
0.017974622547626495,
-0.033187057822942734,
-0.011869090609252453,
0.002350046532228589,
-0.059687983244657516,
-0.03885659575462341,
-0.0033910998608917,
0.10212387144565582,
-0.0026703965850174427,
-0.003587680170312524,
-0.031489189714193344,
-0.0249521154910326,
0.038150954991579056,
-0.05693111568689346,
-0.03945000097155571,
0.020077476277947426,
0.04299488291144371,
-0.007274542935192585,
-0.06208508461713791,
-0.013324817642569542,
-0.038349512964487076,
-0.003954351879656315,
0.010403862223029137,
0.03238954395055771,
0.038286540657281876,
-0.03075084649026394,
0.03520450368523598,
-0.024176735430955887,
-0.005717064719647169,
-0.03630199283361435,
0.013864623382687569,
0.07042039930820465,
0.01856105774641037,
0.08148415386676788,
0.020045075565576553,
-0.01637558452785015,
-0.04097457975149155,
0.021894337609410286,
-0.03637809678912163,
0.07309755682945251,
-0.15038904547691345,
-0.05571424588561058,
0.1363554298877716,
-0.07167203724384308,
-0.07228449732065201,
0.0777965635061264,
-0.00433091726154089,
-0.05197945609688759,
0.023261353373527527,
-0.06809880584478378,
-0.021736299619078636,
-0.12916576862335205,
-0.03902488574385643,
0.004923448897898197,
-0.06786586344242096,
0.028453834354877472,
0.042876362800598145,
-0.004528063349425793,
0.044616542756557465,
-0.038040731102228165,
-0.0207209512591362,
0.03388874605298042,
-0.04534969478845596,
-0.08173581212759018,
0.009899756871163845,
-0.0239229928702116,
0.0392291322350502,
-0.07659026980400085,
0.04234711453318596,
-4.7447573161354194e-33,
-0.05448637902736664,
0.02805994637310505,
0.04729878157377243,
0.07601366937160492,
0.019809376448392868,
-0.08466333895921707,
-0.03449752554297447,
-0.016861826181411743,
-0.05348791927099228,
-0.046384554356336594,
0.0067574200220406055,
0.028929077088832855,
0.025230806320905685,
0.02064858004450798,
-0.031766291707754135,
0.03377058729529381,
0.009860189631581306,
-0.0508292019367218,
-0.08637271821498871,
0.010029619559645653,
0.04977158457040787,
0.11537153273820877,
-0.04154287278652191,
0.009511187672615051,
-0.0109080970287323,
0.016318462789058685,
-0.009767848998308182,
0.022562377154827118,
0.013000467792153358,
0.046010829508304596,
0.024886634200811386,
-0.062355075031518936,
-0.09228022396564484,
-0.07449313253164291,
0.05245882645249367,
-0.026038656011223793,
0.06289023160934448,
0.05802157148718834,
-0.04525057226419449,
0.012635494582355022,
0.016164563596248627,
-0.05114671215415001,
-0.055817753076553345,
0.03322356566786766,
-0.007664910051971674,
0.0439930334687233,
-0.047504931688308716,
-0.006515175104141235,
-0.049314018338918686,
-0.015233500860631466,
-0.04081928730010986,
0.02469419687986374,
0.05300670117139816,
0.014978227205574512,
-0.002058889251202345,
-0.08661562949419022,
-0.04782494902610779,
0.04509597271680832,
-0.013539190404117107,
-0.04626598209142685,
-0.03248687833547592,
0.029787784442305565,
0.006183468271046877,
0.06299126893281937,
0.06818996369838715,
-0.10324259847402573,
-0.042592279613018036,
-0.02034946344792843,
-0.0651821568608284,
0.02133357524871826,
-0.030163269490003586,
-0.01130767073482275,
-0.10695917159318924,
0.023780038580298424,
-0.003683818969875574,
0.0768093690276146,
-0.00671724509447813,
0.05784592404961586,
-0.05199524015188217,
0.020506979897618294,
-0.05820760503411293,
-0.05686899274587631,
0.025837047025561333,
-0.02406250685453415,
0.017989516258239746,
-0.03564770892262459,
0.07073809951543808,
-0.007560483179986477,
-0.03567634895443916,
0.006110214162617922,
0.00632097665220499,
-0.013282682746648788,
0.054069776087999344,
0.03833678364753723,
0.0018151981057599187,
-4.121189078887255e-8,
-0.060188405215740204,
-0.03144979849457741,
-0.09277249127626419,
-0.08569245785474777,
0.020802896469831467,
-0.03487144038081169,
0.03810657188296318,
0.10129339247941971,
-0.031695954501628876,
0.04771266132593155,
0.09631793200969696,
-0.00034257001243531704,
0.040475424379110336,
0.11031308770179749,
-0.030475031584501266,
0.010288826189935207,
0.020142579451203346,
0.03668046370148659,
-0.030303366482257843,
-0.014972011558711529,
-0.010467872954905033,
-0.023564284667372704,
-0.01858511008322239,
0.05513701215386391,
0.05357350781559944,
-0.05677942931652069,
-0.022156693041324615,
-0.029954541474580765,
-0.028859185054898262,
0.06955940276384354,
0.04604453593492508,
0.0675535798072815,
0.02699834480881691,
0.054156363010406494,
0.017243504524230957,
0.11983835697174072,
-0.026947904378175735,
0.0063539789989590645,
-0.04913422092795372,
-0.03684352710843086,
-0.05587887018918991,
0.01857684925198555,
-0.13278727233409882,
0.04460844397544861,
0.13323050737380981,
-0.07139480859041214,
0.004463475663214922,
-0.025992918759584427,
-0.036690592765808105,
-0.030572906136512756,
-0.05503435432910919,
-0.008462014608085155,
-0.018807213753461838,
-0.107669897377491,
-0.09805527329444885,
0.08136236667633057,
-0.007968922145664692,
-0.07446864247322083,
0.08191797882318497,
-0.10477490723133087,
0.028899576514959335,
0.0170430950820446,
0.03302076831459999,
-0.028001120314002037
] |
1401.6308
|
Behrooz Ferdowsi
|
B. Ferdowsi, M. Griffa, R. A. Guyer, P. A. Johnson, J. Carmeliet
|
Effect of boundary vibration on the frictional behavior of a dense
sheared granular layer
| null | null |
10.1007/s00707-014-1136-y
| null |
physics.geo-ph cond-mat.soft
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report results of 3D Discrete Element Method (DEM) simulations aiming at
investigating the role of the boundary vibration in inducing frictional
weakening in sheared granular layers. We study the role of different vibration
amplitudes applied at various shear stress levels, for a granular layer in the
stick-slip regime and in the steady-sliding regime. Results are reported in
terms of friction drops and kinetic energy release associated with frictional
weakening events. We find that larger vibration amplitude induces larger
frictional weakening events. The results show evidence of a threshold below
which no induced frictional weakening takes place. Friction drop size is found
to be dependent on the shear stress at the time of vibration. A significant
increase in the ratio between the number of slipping contacts to the number of
sticking contacts in the granular layer is observed for large vibration
amplitudes. These vibration-induced contact rearrangements enhance particle
mobilization and induces a friction drop and kinetic energy release. This
observation provides some insight into the grain-scale mechanisms of frictional
weakening by boundary vibration in a dense sheared granular layer. In addition
to characterizing the basic physics of vibration induced shear weakening, we
are attempting to understand how a fault fails in the earth under seismic wave
forcing. This is the well know phenomenon of dynamic earthquake triggering. We
believe that the granular physics are key to this understanding.
|
[
{
"created": "Fri, 24 Jan 2014 10:34:08 GMT",
"version": "v1"
}
] |
2014-05-05
|
[
[
"Ferdowsi",
"B.",
""
],
[
"Griffa",
"M.",
""
],
[
"Guyer",
"R. A.",
""
],
[
"Johnson",
"P. A.",
""
],
[
"Carmeliet",
"J.",
""
]
] |
[
-0.04503713548183441,
-0.03319140151143074,
0.1705865114927292,
-0.02535722404718399,
0.027674218639731407,
-0.057055845856666565,
-0.024092841893434525,
0.042594198137521744,
0.06566360592842102,
-0.004009245429188013,
-0.09879223257303238,
-0.05083470791578293,
0.015780815854668617,
-0.06156008318066597,
0.019820911809802055,
-0.01680460199713707,
0.06589986383914948,
0.040593717247247696,
-0.05297444015741348,
0.05336049199104309,
0.0535467267036438,
0.02896292321383953,
0.02004089020192623,
0.030996348708868027,
0.03198074921965599,
0.09208527207374573,
-0.05707214027643204,
0.015676209703087807,
0.0020976911764591932,
-0.01469652634114027,
-0.0494135320186615,
-0.05495576933026314,
-0.08924010396003723,
0.10383939743041992,
0.0030294167809188366,
-0.008655105717480183,
-0.07483190298080444,
0.06683359295129776,
-0.08875671774148941,
0.029063217341899872,
-0.04873792827129364,
-0.015345738269388676,
0.004368146415799856,
-0.04052126780152321,
-0.007919399999082088,
-0.03563544154167175,
0.027970144525170326,
0.0005072932108305395,
-0.015341289341449738,
0.02129947766661644,
0.022192932665348053,
0.043794430792331696,
0.060640569776296616,
-0.006729504559189081,
-0.03893885761499405,
0.01833028346300125,
0.09308718144893646,
0.016332097351551056,
-0.013943363912403584,
0.06421419978141785,
0.006548892706632614,
0.024396132677793503,
0.018712300807237625,
0.0018155680736526847,
0.08169763535261154,
-0.03994026407599449,
0.028010303154587746,
0.029223166406154633,
-0.08057048916816711,
0.055460475385189056,
-0.001736843609251082,
0.05153379589319229,
-0.012876925989985466,
0.04728443920612335,
0.011176113039255142,
-0.031130732968449593,
-0.10747716575860977,
0.03422119840979576,
-0.022031230852007866,
-0.06826607882976532,
-0.04116112366318703,
0.06375618278980255,
0.041389014571905136,
-0.05845349654555321,
-0.09657768160104752,
-0.0005023308331146836,
0.0010747233172878623,
0.031436987221241,
-0.03350433334708214,
-0.06431762874126434,
-0.011989837512373924,
0.04613211005926132,
0.008849930949509144,
0.14783038198947906,
0.13612358272075653,
0.02003520354628563,
-0.05004693567752838,
-0.06053632125258446,
0.020890003070235252,
0.0008431406458839774,
-0.02892223373055458,
0.04106004908680916,
-0.03684071823954582,
0.04432680085301399,
-0.004123730584979057,
0.007815787568688393,
-0.07977405190467834,
0.03709585964679718,
-0.03201143071055412,
0.10392014682292938,
0.08732688426971436,
0.035776518285274506,
-0.005462437868118286,
0.010077985003590584,
-0.07348007708787918,
-0.1328372359275818,
0.0569387711584568,
0.04495011270046234,
-0.08946492522954941,
-0.09549318253993988,
0.061017461121082306,
-0.015761306509375572,
-0.056282591074705124,
0.015550335869193077,
0.014830396510660648,
-0.030284587293863297,
-0.014702921733260155,
9.856649619694464e-34,
0.11292615532875061,
-0.03644195944070816,
-0.07510985434055328,
-0.007049440871924162,
-0.020835842937231064,
-0.018339907750487328,
0.010607965290546417,
0.02890895865857601,
-0.0455666184425354,
0.09914015978574753,
-0.04988912120461464,
0.028010766953229904,
0.0001771573442965746,
0.017611578106880188,
-0.02749583125114441,
0.0248323492705822,
0.07882461696863174,
-0.11264744400978088,
0.0440032072365284,
0.015278344973921776,
-0.003906368277966976,
-0.028046254068613052,
0.009248601272702217,
-0.010507402010262012,
-0.09439145773649216,
0.045125991106033325,
-0.05949515104293823,
-0.026643533259630203,
-0.00009232274896930903,
-0.008635280653834343,
-0.02472364343702793,
-0.05122753977775574,
-0.012348810210824013,
0.012942458502948284,
0.07452371716499329,
0.0592726469039917,
-0.007836917415261269,
-0.043297767639160156,
-0.03885999321937561,
-0.05790082737803459,
-0.09427178651094437,
-0.017749393358826637,
0.023702170699834824,
0.006945102009922266,
0.03564341738820076,
-0.029597792774438858,
0.08739589899778366,
0.053736429661512375,
-0.018689336255192757,
-0.019092973321676254,
0.06485385447740555,
-0.007500952109694481,
0.05828622356057167,
0.005274489056318998,
-0.028164315968751907,
0.0009031380759552121,
0.07516049593687057,
-0.07987373322248459,
-0.0317610464990139,
0.049646779894828796,
0.039536044001579285,
-0.0032545547001063824,
0.025646217167377472,
0.052049413323402405,
0.00849090050905943,
0.037251316010951996,
-0.016835402697324753,
0.10122158378362656,
-0.006011624354869127,
0.014578016474843025,
-0.011984835378825665,
0.07087793201208115,
0.039866331964731216,
0.04218215495347977,
-0.03103099763393402,
-0.04346460849046707,
-0.048053208738565445,
-0.0557972751557827,
-0.008982021361589432,
0.014404285699129105,
0.022530274465680122,
-0.0295152235776186,
-0.006479296833276749,
-0.0537414588034153,
-0.06602389365434647,
0.11008400470018387,
0.03549553453922272,
0.02569388411939144,
0.009221374057233334,
-0.028761615976691246,
-0.04846050217747688,
-0.05233513563871384,
0.14170750975608826,
-0.01433930266648531,
0.000020963099814252928,
-3.915112137766265e-33,
0.009199234656989574,
0.014014767482876778,
-0.0472298264503479,
0.06018050014972687,
0.033896468579769135,
-0.008340994827449322,
0.01963646151125431,
0.03128485381603241,
-0.12363018840551376,
-0.11568742245435715,
0.03979950770735741,
0.005279822740703821,
0.01646576263010502,
0.06145888566970825,
0.011037680320441723,
0.02218729443848133,
-0.12874390184879303,
-0.059424009174108505,
0.0070378477685153484,
-0.06745164841413498,
0.06535129994153976,
-0.028080005198717117,
-0.05500756576657295,
0.0506761409342289,
0.01994955912232399,
-0.046487461775541306,
-0.05880789831280708,
-0.032534655183553696,
0.00093258754350245,
-0.043872639536857605,
-0.016847116872668266,
0.051456794142723083,
-0.05065067857503891,
-0.09540344774723053,
0.022887174040079117,
0.02283303067088127,
0.002060821745544672,
0.03589383140206337,
-0.004010632634162903,
-0.1317719966173172,
-0.07396046817302704,
0.0159170962870121,
0.07716437429189682,
0.028196224942803383,
0.019059736281633377,
0.04576388746500015,
-0.018240319564938545,
0.06099183112382889,
-0.029382681474089622,
0.013885626569390297,
0.013631971552968025,
-0.043877411633729935,
0.046250034123659134,
-0.016380557790398598,
0.06574029475450516,
0.10350460559129715,
-0.0012762139085680246,
-0.022488193586468697,
-0.0030554840341210365,
-0.05589202418923378,
-0.07306776195764542,
0.015460734255611897,
0.0070689646527171135,
0.02417123131453991,
0.022405359894037247,
-0.04007909819483757,
-0.06362657994031906,
0.010782280936837196,
-0.025189243257045746,
0.06932075321674347,
-0.06210431084036827,
0.004251429345458746,
0.07857172191143036,
-0.08466803282499313,
0.04252965375781059,
-0.0026499994564801455,
-0.024443000555038452,
-0.029601851478219032,
-0.015177085995674133,
0.08751702308654785,
0.03141247108578682,
0.02042570151388645,
0.0042573437094688416,
0.015123001299798489,
-0.03189292550086975,
0.02070612646639347,
-0.07305339723825455,
0.06320657581090927,
0.025983670726418495,
0.03665541857481003,
0.03200642019510269,
-0.0508834607899189,
0.041284434497356415,
-0.13756678998470306,
-0.02665119804441929,
-5.374222311615995e-8,
0.04055826738476753,
0.019245686009526253,
-0.02690424770116806,
-0.09084556996822357,
0.03759071230888367,
0.04209325835108757,
-0.004163968842476606,
0.016877982765436172,
0.08132519572973251,
-0.08255462348461151,
-0.010176384821534157,
-0.052826639264822006,
-0.02226896584033966,
-0.014280040748417377,
-0.023795463144779205,
0.037593819200992584,
0.07510560005903244,
0.022389939054846764,
0.011104029603302479,
-0.047257695347070694,
0.0012892067898064852,
0.0015626826789230108,
-0.015085414052009583,
0.09563247859477997,
0.03266976773738861,
-0.04011373594403267,
-0.08996059745550156,
-0.013618704862892628,
-0.0037925823125988245,
-0.005500029306858778,
-0.05712404102087021,
-0.05581082031130791,
0.009665588848292828,
-0.013232124969363213,
-0.02945205755531788,
0.09287874400615692,
-0.04055149853229523,
0.014091002754867077,
0.05799519270658493,
-0.008767427876591682,
-0.024806903675198555,
0.01581128127872944,
0.10434778779745102,
-0.025246817618608475,
0.008147737011313438,
-0.01931781880557537,
-0.10568436235189438,
-0.04012351855635643,
-0.0061626010574400425,
-0.007819412276148796,
-0.0914706215262413,
0.04603635519742966,
0.021118180826306343,
0.07770130038261414,
0.08236123621463776,
-0.01804838515818119,
-0.0732528567314148,
-0.009986696764826775,
0.039639998227357864,
0.03825721889734268,
-0.04572143405675888,
-0.07112880796194077,
-0.05019262805581093,
0.0038266403134912252
] | null | null | null | null | null | null | null |
[
-0.04503713548183441,
-0.03319140151143074,
0.1705865114927292,
-0.02535722404718399,
0.027674218639731407,
-0.057055845856666565,
-0.024092841893434525,
0.042594198137521744,
0.06566360592842102,
-0.004009245429188013,
-0.09879223257303238,
-0.05083470791578293,
0.015780815854668617,
-0.06156008318066597,
0.019820911809802055,
-0.01680460199713707,
0.06589986383914948,
0.040593717247247696,
-0.05297444015741348,
0.05336049199104309,
0.0535467267036438,
0.02896292321383953,
0.02004089020192623,
0.030996348708868027,
0.03198074921965599,
0.09208527207374573,
-0.05707214027643204,
0.015676209703087807,
0.0020976911764591932,
-0.01469652634114027,
-0.0494135320186615,
-0.05495576933026314,
-0.08924010396003723,
0.10383939743041992,
0.0030294167809188366,
-0.008655105717480183,
-0.07483190298080444,
0.06683359295129776,
-0.08875671774148941,
0.029063217341899872,
-0.04873792827129364,
-0.015345738269388676,
0.004368146415799856,
-0.04052126780152321,
-0.007919399999082088,
-0.03563544154167175,
0.027970144525170326,
0.0005072932108305395,
-0.015341289341449738,
0.02129947766661644,
0.022192932665348053,
0.043794430792331696,
0.060640569776296616,
-0.006729504559189081,
-0.03893885761499405,
0.01833028346300125,
0.09308718144893646,
0.016332097351551056,
-0.013943363912403584,
0.06421419978141785,
0.006548892706632614,
0.024396132677793503,
0.018712300807237625,
0.0018155680736526847,
0.08169763535261154,
-0.03994026407599449,
0.028010303154587746,
0.029223166406154633,
-0.08057048916816711,
0.055460475385189056,
-0.001736843609251082,
0.05153379589319229,
-0.012876925989985466,
0.04728443920612335,
0.011176113039255142,
-0.031130732968449593,
-0.10747716575860977,
0.03422119840979576,
-0.022031230852007866,
-0.06826607882976532,
-0.04116112366318703,
0.06375618278980255,
0.041389014571905136,
-0.05845349654555321,
-0.09657768160104752,
-0.0005023308331146836,
0.0010747233172878623,
0.031436987221241,
-0.03350433334708214,
-0.06431762874126434,
-0.011989837512373924,
0.04613211005926132,
0.008849930949509144,
0.14783038198947906,
0.13612358272075653,
0.02003520354628563,
-0.05004693567752838,
-0.06053632125258446,
0.020890003070235252,
0.0008431406458839774,
-0.02892223373055458,
0.04106004908680916,
-0.03684071823954582,
0.04432680085301399,
-0.004123730584979057,
0.007815787568688393,
-0.07977405190467834,
0.03709585964679718,
-0.03201143071055412,
0.10392014682292938,
0.08732688426971436,
0.035776518285274506,
-0.005462437868118286,
0.010077985003590584,
-0.07348007708787918,
-0.1328372359275818,
0.0569387711584568,
0.04495011270046234,
-0.08946492522954941,
-0.09549318253993988,
0.061017461121082306,
-0.015761306509375572,
-0.056282591074705124,
0.015550335869193077,
0.014830396510660648,
-0.030284587293863297,
-0.014702921733260155,
9.856649619694464e-34,
0.11292615532875061,
-0.03644195944070816,
-0.07510985434055328,
-0.007049440871924162,
-0.020835842937231064,
-0.018339907750487328,
0.010607965290546417,
0.02890895865857601,
-0.0455666184425354,
0.09914015978574753,
-0.04988912120461464,
0.028010766953229904,
0.0001771573442965746,
0.017611578106880188,
-0.02749583125114441,
0.0248323492705822,
0.07882461696863174,
-0.11264744400978088,
0.0440032072365284,
0.015278344973921776,
-0.003906368277966976,
-0.028046254068613052,
0.009248601272702217,
-0.010507402010262012,
-0.09439145773649216,
0.045125991106033325,
-0.05949515104293823,
-0.026643533259630203,
-0.00009232274896930903,
-0.008635280653834343,
-0.02472364343702793,
-0.05122753977775574,
-0.012348810210824013,
0.012942458502948284,
0.07452371716499329,
0.0592726469039917,
-0.007836917415261269,
-0.043297767639160156,
-0.03885999321937561,
-0.05790082737803459,
-0.09427178651094437,
-0.017749393358826637,
0.023702170699834824,
0.006945102009922266,
0.03564341738820076,
-0.029597792774438858,
0.08739589899778366,
0.053736429661512375,
-0.018689336255192757,
-0.019092973321676254,
0.06485385447740555,
-0.007500952109694481,
0.05828622356057167,
0.005274489056318998,
-0.028164315968751907,
0.0009031380759552121,
0.07516049593687057,
-0.07987373322248459,
-0.0317610464990139,
0.049646779894828796,
0.039536044001579285,
-0.0032545547001063824,
0.025646217167377472,
0.052049413323402405,
0.00849090050905943,
0.037251316010951996,
-0.016835402697324753,
0.10122158378362656,
-0.006011624354869127,
0.014578016474843025,
-0.011984835378825665,
0.07087793201208115,
0.039866331964731216,
0.04218215495347977,
-0.03103099763393402,
-0.04346460849046707,
-0.048053208738565445,
-0.0557972751557827,
-0.008982021361589432,
0.014404285699129105,
0.022530274465680122,
-0.0295152235776186,
-0.006479296833276749,
-0.0537414588034153,
-0.06602389365434647,
0.11008400470018387,
0.03549553453922272,
0.02569388411939144,
0.009221374057233334,
-0.028761615976691246,
-0.04846050217747688,
-0.05233513563871384,
0.14170750975608826,
-0.01433930266648531,
0.000020963099814252928,
-3.915112137766265e-33,
0.009199234656989574,
0.014014767482876778,
-0.0472298264503479,
0.06018050014972687,
0.033896468579769135,
-0.008340994827449322,
0.01963646151125431,
0.03128485381603241,
-0.12363018840551376,
-0.11568742245435715,
0.03979950770735741,
0.005279822740703821,
0.01646576263010502,
0.06145888566970825,
0.011037680320441723,
0.02218729443848133,
-0.12874390184879303,
-0.059424009174108505,
0.0070378477685153484,
-0.06745164841413498,
0.06535129994153976,
-0.028080005198717117,
-0.05500756576657295,
0.0506761409342289,
0.01994955912232399,
-0.046487461775541306,
-0.05880789831280708,
-0.032534655183553696,
0.00093258754350245,
-0.043872639536857605,
-0.016847116872668266,
0.051456794142723083,
-0.05065067857503891,
-0.09540344774723053,
0.022887174040079117,
0.02283303067088127,
0.002060821745544672,
0.03589383140206337,
-0.004010632634162903,
-0.1317719966173172,
-0.07396046817302704,
0.0159170962870121,
0.07716437429189682,
0.028196224942803383,
0.019059736281633377,
0.04576388746500015,
-0.018240319564938545,
0.06099183112382889,
-0.029382681474089622,
0.013885626569390297,
0.013631971552968025,
-0.043877411633729935,
0.046250034123659134,
-0.016380557790398598,
0.06574029475450516,
0.10350460559129715,
-0.0012762139085680246,
-0.022488193586468697,
-0.0030554840341210365,
-0.05589202418923378,
-0.07306776195764542,
0.015460734255611897,
0.0070689646527171135,
0.02417123131453991,
0.022405359894037247,
-0.04007909819483757,
-0.06362657994031906,
0.010782280936837196,
-0.025189243257045746,
0.06932075321674347,
-0.06210431084036827,
0.004251429345458746,
0.07857172191143036,
-0.08466803282499313,
0.04252965375781059,
-0.0026499994564801455,
-0.024443000555038452,
-0.029601851478219032,
-0.015177085995674133,
0.08751702308654785,
0.03141247108578682,
0.02042570151388645,
0.0042573437094688416,
0.015123001299798489,
-0.03189292550086975,
0.02070612646639347,
-0.07305339723825455,
0.06320657581090927,
0.025983670726418495,
0.03665541857481003,
0.03200642019510269,
-0.0508834607899189,
0.041284434497356415,
-0.13756678998470306,
-0.02665119804441929,
-5.374222311615995e-8,
0.04055826738476753,
0.019245686009526253,
-0.02690424770116806,
-0.09084556996822357,
0.03759071230888367,
0.04209325835108757,
-0.004163968842476606,
0.016877982765436172,
0.08132519572973251,
-0.08255462348461151,
-0.010176384821534157,
-0.052826639264822006,
-0.02226896584033966,
-0.014280040748417377,
-0.023795463144779205,
0.037593819200992584,
0.07510560005903244,
0.022389939054846764,
0.011104029603302479,
-0.047257695347070694,
0.0012892067898064852,
0.0015626826789230108,
-0.015085414052009583,
0.09563247859477997,
0.03266976773738861,
-0.04011373594403267,
-0.08996059745550156,
-0.013618704862892628,
-0.0037925823125988245,
-0.005500029306858778,
-0.05712404102087021,
-0.05581082031130791,
0.009665588848292828,
-0.013232124969363213,
-0.02945205755531788,
0.09287874400615692,
-0.04055149853229523,
0.014091002754867077,
0.05799519270658493,
-0.008767427876591682,
-0.024806903675198555,
0.01581128127872944,
0.10434778779745102,
-0.025246817618608475,
0.008147737011313438,
-0.01931781880557537,
-0.10568436235189438,
-0.04012351855635643,
-0.0061626010574400425,
-0.007819412276148796,
-0.0914706215262413,
0.04603635519742966,
0.021118180826306343,
0.07770130038261414,
0.08236123621463776,
-0.01804838515818119,
-0.0732528567314148,
-0.009986696764826775,
0.039639998227357864,
0.03825721889734268,
-0.04572143405675888,
-0.07112880796194077,
-0.05019262805581093,
0.0038266403134912252
] |
1401.6309
|
Vladislav Orekhov
|
Maxim Mayzel, Krzysztof Kazimierczuk, and Vladislav Yu. Orekhov
|
Causality principle in reconstruction of sparse NMR spectra
|
changes in v2: fixed typos and minor text corrections
| null | null | null |
physics.chem-ph cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Rapid development of sparse sampling methodology offers dramatic increase in
power and efficiency of magnetic resonance techniques in medicine, chemistry,
molecular structural biology, and other fields. We suggest to use available yet
usually unexploited prior knowledge about the phase and the causality of the
sparsely detected NMR signal as a general approach for a major improvement of
the spectra quality. The work gives a theoretical framework of the method and
demonstrates notable improvement of the protein spectra reconstructed with two
commonly used state-of-the-art signal processing algorithms, compressed sensing
and SIFT.
|
[
{
"created": "Fri, 24 Jan 2014 10:35:23 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2014 10:54:59 GMT",
"version": "v2"
}
] |
2014-01-28
|
[
[
"Mayzel",
"Maxim",
""
],
[
"Kazimierczuk",
"Krzysztof",
""
],
[
"Orekhov",
"Vladislav Yu.",
""
]
] |
[
-0.07572059333324432,
-0.017430806532502174,
-0.042743805795907974,
-0.030425112694501877,
0.023227639496326447,
-0.016177847981452942,
-0.02072610892355442,
-0.029334066435694695,
0.00877471175044775,
-0.09712929278612137,
-0.031005173921585083,
0.0561983548104763,
0.030738361179828644,
0.02113494463264942,
-0.021121712401509285,
-0.00032448951969854534,
-0.022698305547237396,
0.0394340381026268,
0.003633155720308423,
-0.06905590742826462,
-0.05676156282424927,
-0.005329289007931948,
-0.007396560162305832,
-0.017858853563666344,
0.031954582780599594,
-0.012989371083676815,
0.0029617431573569775,
-0.05505235865712166,
0.04669565334916115,
0.0023021118249744177,
0.10133831948041916,
0.06597914546728134,
-0.0321345292031765,
-0.07159049063920975,
0.07670723646879196,
0.04817095398902893,
0.01733541302382946,
0.050396837294101715,
0.024609234184026718,
-0.034491680562496185,
0.11993169039487839,
0.03885529190301895,
-0.008373790420591831,
0.040621280670166016,
-0.008399982936680317,
0.024619005620479584,
0.03967781737446785,
-0.04549971595406532,
0.08483639359474182,
-0.021483972668647766,
0.02828662097454071,
0.029069896787405014,
-0.0037159554194658995,
-0.06256502121686935,
-0.002141327364370227,
0.01891866698861122,
-0.09512130171060562,
-0.0734003558754921,
-0.043978527188301086,
0.040680889040231705,
-0.020226534456014633,
0.007712723221629858,
0.009542899206280708,
0.036245428025722504,
0.06031861528754234,
0.02958185039460659,
0.13003294169902802,
-0.019687164574861526,
0.06721401959657669,
-0.029384968802332878,
-0.03339923545718193,
-0.0075949630700051785,
-0.011870457790791988,
0.12132417410612106,
-0.05136214569211006,
-0.008380211889743805,
-0.07828282564878464,
0.014802931807935238,
0.05239887908101082,
0.04212874546647072,
-0.026854585856199265,
-0.012432040646672249,
-0.07602553814649582,
0.015522479079663754,
0.04399046674370766,
-0.003039431292563677,
-0.007514620665460825,
0.026557881385087967,
-0.04569850116968155,
0.016003398224711418,
-0.01727485843002796,
-0.026342516764998436,
-0.12048227339982986,
-0.010013221763074398,
-0.11598075181245804,
-0.04349266365170479,
0.0954676941037178,
0.056714970618486404,
0.024980491027235985,
0.05820281058549881,
0.033172186464071274,
-0.014277623035013676,
0.007401475217193365,
0.03128373250365257,
-0.07011348754167557,
-0.05154062807559967,
0.06379125267267227,
0.06752893328666687,
0.0015663430094718933,
0.12376172840595245,
0.07058084011077881,
0.06758058071136475,
0.08585360646247864,
0.01389826089143753,
0.08937345445156097,
-0.007067011669278145,
0.045656006783246994,
-0.000352785165887326,
0.024118727073073387,
0.01147086638957262,
-0.0066493358463048935,
-0.06293482333421707,
-0.03068886511027813,
-0.020728087052702904,
0.03319108858704567,
0.05881572514772415,
-0.08598266541957855,
1.3497700208683305e-33,
0.04498341679573059,
0.11120815575122833,
0.0869368314743042,
-0.017161281779408455,
-0.04916888102889061,
0.03680635243654251,
0.03374076262116432,
-0.05360133573412895,
0.04428182542324066,
0.09762454777956009,
-0.034387942403554916,
-0.0008168058702722192,
0.06895919889211655,
0.011890105903148651,
-0.06297685950994492,
-0.0005239382735453546,
0.026841603219509125,
0.07606013864278793,
-0.027807947248220444,
-0.07908815890550613,
-0.029643237590789795,
0.08882170915603638,
0.0057596624828875065,
-0.005839496850967407,
-0.0322326123714447,
-0.010218879207968712,
-0.03493515029549599,
-0.01341885607689619,
-0.007965781725943089,
0.016400882974267006,
-0.07049115002155304,
-0.011668818071484566,
-0.02718324027955532,
0.010490352287888527,
0.07712194323539734,
-0.02777239680290222,
0.15173673629760742,
0.023436667397618294,
-0.030961142852902412,
0.000031010040402179584,
0.10907795280218124,
-0.036832816898822784,
0.09503208100795746,
-0.05083005130290985,
-0.01457033958286047,
0.011114075779914856,
-0.004090731032192707,
-0.012368373572826385,
-0.0013864068314433098,
-0.01797253079712391,
-0.011996753513813019,
-0.11094088852405548,
-0.01741909794509411,
0.002089895075187087,
-0.0197740625590086,
-0.012910266406834126,
-0.01847931556403637,
-0.08798184245824814,
0.011123507283627987,
0.09704139828681946,
-0.011832525953650475,
-0.0321868434548378,
-0.016681740060448647,
0.027730314061045647,
0.10917884111404419,
-0.019014855846762657,
-0.08111386746168137,
-0.05996124818921089,
-0.015073641203343868,
0.0675756186246872,
0.03337198868393898,
0.07050186395645142,
0.016744526103138924,
-0.07484381645917892,
0.086960569024086,
0.018624654039740562,
0.01908864639699459,
0.03691127523779869,
0.0009796802187338471,
0.011079561896622181,
-0.025545891374349594,
0.01256880909204483,
-0.0016929690027609468,
0.006201752461493015,
-0.09248845279216766,
0.09548326581716537,
0.09179957211017609,
-0.02404024638235569,
-0.009612356312572956,
-0.050231195986270905,
-0.05021308735013008,
0.0232220571488142,
-0.01777428202331066,
-0.08185756951570511,
-0.06144283339381218,
-1.279358827609037e-33,
0.06389567255973816,
0.01181936077773571,
0.1322062909603119,
-0.046118222177028656,
-0.0019561266526579857,
-0.01593795046210289,
0.01754479482769966,
0.02742466703057289,
0.04703027755022049,
-0.04225461184978485,
0.05726608261466026,
-0.10638681054115295,
0.03951048478484154,
-0.06746111065149307,
-0.0226038359105587,
0.06941791623830795,
-0.06546566635370255,
-0.03780248016119003,
0.0663246437907219,
0.06959695369005203,
-0.0667431652545929,
-0.01252099871635437,
-0.01792117953300476,
0.049896322190761566,
0.03255971893668175,
-0.004953023046255112,
-0.017581073567271233,
0.012762250378727913,
0.03595361486077309,
0.014312445186078548,
-0.046969328075647354,
-0.03655483201146126,
-0.10010096430778503,
-0.10088664293289185,
-0.03231647610664368,
0.08765647560358047,
0.005359501112252474,
0.03429707512259483,
0.05024289712309837,
-0.040018461644649506,
-0.008023861795663834,
0.07474692165851593,
-0.11373265832662582,
-0.0039724684320390224,
0.036137647926807404,
-0.07210684567689896,
-0.005035990383476019,
0.018304044380784035,
0.03607748821377754,
0.020327813923358917,
0.0472462959587574,
-0.019927408546209335,
-0.012771752662956715,
0.04318780079483986,
-0.0317951925098896,
-0.02231065183877945,
-0.02491711638867855,
-0.017865031957626343,
0.05474046617746353,
0.0049140010960400105,
-0.07094698399305344,
-0.018713975325226784,
-0.14231868088245392,
-0.03984254226088524,
0.01820659451186657,
0.037092648446559906,
0.08349809050559998,
0.036723826080560684,
0.005669475067406893,
0.028463158756494522,
-0.04602545127272606,
0.04801426827907562,
0.05706008896231651,
0.0816328227519989,
0.10032983124256134,
-0.026516178622841835,
-0.03674589470028877,
-0.03936229646205902,
-0.08357241004705429,
-0.01255181897431612,
0.08787854760885239,
-0.0006234713364392519,
-0.07261494547128677,
-0.09440764784812927,
0.06400956213474274,
0.0840645357966423,
-0.0376862958073616,
-0.03416791558265686,
0.021039392799139023,
-0.034717265516519547,
0.03988396376371384,
0.04920279234647751,
0.04509837552905083,
0.02983558364212513,
-0.04525382071733475,
-4.2507029007765595e-8,
0.013885479420423508,
-0.0032673790119588375,
-0.06753577291965485,
-0.028290577232837677,
0.015779949724674225,
-0.027213625609874725,
0.0156553965061903,
-0.0542566291987896,
0.013671661727130413,
-0.06546100229024887,
0.06634154170751572,
-0.0583593025803566,
-0.07197662442922592,
-0.024199701845645905,
0.04813108593225479,
0.04476547986268997,
-0.015505357645452023,
0.01843675784766674,
-0.02229991927742958,
0.011482108384370804,
0.02589705027639866,
0.03687994182109833,
-0.013398132286965847,
-0.05103181675076485,
0.06637848913669586,
0.0010537364287301898,
-0.016533950343728065,
-0.020338159054517746,
0.05809025838971138,
-0.005847461987286806,
-0.03651806339621544,
0.016097309067845345,
0.04392749071121216,
-0.00550390500575304,
0.013925082981586456,
0.012600695714354515,
0.019540689885616302,
0.0010648161405697465,
-0.10468987375497818,
-0.03901178389787674,
-0.1385965645313263,
0.022901667281985283,
-0.15232425928115845,
-0.03765908628702164,
-0.043849747627973557,
-0.05464141070842743,
-0.011709335260093212,
0.03957360237836838,
0.02847273088991642,
-0.019578717648983,
0.027616841718554497,
0.007378675043582916,
0.05176408216357231,
-0.07327007502317429,
-0.023448223248124123,
-0.0008797015761956573,
0.0008890936733223498,
0.005262474995106459,
-0.007237517740577459,
-0.05206660181283951,
0.04254011809825897,
0.010772265493869781,
-0.04069680720567703,
-0.0075355954468250275
] | null | null | null | null | null | null | null |
[
-0.07572059333324432,
-0.017430806532502174,
-0.042743805795907974,
-0.030425112694501877,
0.023227639496326447,
-0.016177847981452942,
-0.02072610892355442,
-0.029334066435694695,
0.00877471175044775,
-0.09712929278612137,
-0.031005173921585083,
0.0561983548104763,
0.030738361179828644,
0.02113494463264942,
-0.021121712401509285,
-0.00032448951969854534,
-0.022698305547237396,
0.0394340381026268,
0.003633155720308423,
-0.06905590742826462,
-0.05676156282424927,
-0.005329289007931948,
-0.007396560162305832,
-0.017858853563666344,
0.031954582780599594,
-0.012989371083676815,
0.0029617431573569775,
-0.05505235865712166,
0.04669565334916115,
0.0023021118249744177,
0.10133831948041916,
0.06597914546728134,
-0.0321345292031765,
-0.07159049063920975,
0.07670723646879196,
0.04817095398902893,
0.01733541302382946,
0.050396837294101715,
0.024609234184026718,
-0.034491680562496185,
0.11993169039487839,
0.03885529190301895,
-0.008373790420591831,
0.040621280670166016,
-0.008399982936680317,
0.024619005620479584,
0.03967781737446785,
-0.04549971595406532,
0.08483639359474182,
-0.021483972668647766,
0.02828662097454071,
0.029069896787405014,
-0.0037159554194658995,
-0.06256502121686935,
-0.002141327364370227,
0.01891866698861122,
-0.09512130171060562,
-0.0734003558754921,
-0.043978527188301086,
0.040680889040231705,
-0.020226534456014633,
0.007712723221629858,
0.009542899206280708,
0.036245428025722504,
0.06031861528754234,
0.02958185039460659,
0.13003294169902802,
-0.019687164574861526,
0.06721401959657669,
-0.029384968802332878,
-0.03339923545718193,
-0.0075949630700051785,
-0.011870457790791988,
0.12132417410612106,
-0.05136214569211006,
-0.008380211889743805,
-0.07828282564878464,
0.014802931807935238,
0.05239887908101082,
0.04212874546647072,
-0.026854585856199265,
-0.012432040646672249,
-0.07602553814649582,
0.015522479079663754,
0.04399046674370766,
-0.003039431292563677,
-0.007514620665460825,
0.026557881385087967,
-0.04569850116968155,
0.016003398224711418,
-0.01727485843002796,
-0.026342516764998436,
-0.12048227339982986,
-0.010013221763074398,
-0.11598075181245804,
-0.04349266365170479,
0.0954676941037178,
0.056714970618486404,
0.024980491027235985,
0.05820281058549881,
0.033172186464071274,
-0.014277623035013676,
0.007401475217193365,
0.03128373250365257,
-0.07011348754167557,
-0.05154062807559967,
0.06379125267267227,
0.06752893328666687,
0.0015663430094718933,
0.12376172840595245,
0.07058084011077881,
0.06758058071136475,
0.08585360646247864,
0.01389826089143753,
0.08937345445156097,
-0.007067011669278145,
0.045656006783246994,
-0.000352785165887326,
0.024118727073073387,
0.01147086638957262,
-0.0066493358463048935,
-0.06293482333421707,
-0.03068886511027813,
-0.020728087052702904,
0.03319108858704567,
0.05881572514772415,
-0.08598266541957855,
1.3497700208683305e-33,
0.04498341679573059,
0.11120815575122833,
0.0869368314743042,
-0.017161281779408455,
-0.04916888102889061,
0.03680635243654251,
0.03374076262116432,
-0.05360133573412895,
0.04428182542324066,
0.09762454777956009,
-0.034387942403554916,
-0.0008168058702722192,
0.06895919889211655,
0.011890105903148651,
-0.06297685950994492,
-0.0005239382735453546,
0.026841603219509125,
0.07606013864278793,
-0.027807947248220444,
-0.07908815890550613,
-0.029643237590789795,
0.08882170915603638,
0.0057596624828875065,
-0.005839496850967407,
-0.0322326123714447,
-0.010218879207968712,
-0.03493515029549599,
-0.01341885607689619,
-0.007965781725943089,
0.016400882974267006,
-0.07049115002155304,
-0.011668818071484566,
-0.02718324027955532,
0.010490352287888527,
0.07712194323539734,
-0.02777239680290222,
0.15173673629760742,
0.023436667397618294,
-0.030961142852902412,
0.000031010040402179584,
0.10907795280218124,
-0.036832816898822784,
0.09503208100795746,
-0.05083005130290985,
-0.01457033958286047,
0.011114075779914856,
-0.004090731032192707,
-0.012368373572826385,
-0.0013864068314433098,
-0.01797253079712391,
-0.011996753513813019,
-0.11094088852405548,
-0.01741909794509411,
0.002089895075187087,
-0.0197740625590086,
-0.012910266406834126,
-0.01847931556403637,
-0.08798184245824814,
0.011123507283627987,
0.09704139828681946,
-0.011832525953650475,
-0.0321868434548378,
-0.016681740060448647,
0.027730314061045647,
0.10917884111404419,
-0.019014855846762657,
-0.08111386746168137,
-0.05996124818921089,
-0.015073641203343868,
0.0675756186246872,
0.03337198868393898,
0.07050186395645142,
0.016744526103138924,
-0.07484381645917892,
0.086960569024086,
0.018624654039740562,
0.01908864639699459,
0.03691127523779869,
0.0009796802187338471,
0.011079561896622181,
-0.025545891374349594,
0.01256880909204483,
-0.0016929690027609468,
0.006201752461493015,
-0.09248845279216766,
0.09548326581716537,
0.09179957211017609,
-0.02404024638235569,
-0.009612356312572956,
-0.050231195986270905,
-0.05021308735013008,
0.0232220571488142,
-0.01777428202331066,
-0.08185756951570511,
-0.06144283339381218,
-1.279358827609037e-33,
0.06389567255973816,
0.01181936077773571,
0.1322062909603119,
-0.046118222177028656,
-0.0019561266526579857,
-0.01593795046210289,
0.01754479482769966,
0.02742466703057289,
0.04703027755022049,
-0.04225461184978485,
0.05726608261466026,
-0.10638681054115295,
0.03951048478484154,
-0.06746111065149307,
-0.0226038359105587,
0.06941791623830795,
-0.06546566635370255,
-0.03780248016119003,
0.0663246437907219,
0.06959695369005203,
-0.0667431652545929,
-0.01252099871635437,
-0.01792117953300476,
0.049896322190761566,
0.03255971893668175,
-0.004953023046255112,
-0.017581073567271233,
0.012762250378727913,
0.03595361486077309,
0.014312445186078548,
-0.046969328075647354,
-0.03655483201146126,
-0.10010096430778503,
-0.10088664293289185,
-0.03231647610664368,
0.08765647560358047,
0.005359501112252474,
0.03429707512259483,
0.05024289712309837,
-0.040018461644649506,
-0.008023861795663834,
0.07474692165851593,
-0.11373265832662582,
-0.0039724684320390224,
0.036137647926807404,
-0.07210684567689896,
-0.005035990383476019,
0.018304044380784035,
0.03607748821377754,
0.020327813923358917,
0.0472462959587574,
-0.019927408546209335,
-0.012771752662956715,
0.04318780079483986,
-0.0317951925098896,
-0.02231065183877945,
-0.02491711638867855,
-0.017865031957626343,
0.05474046617746353,
0.0049140010960400105,
-0.07094698399305344,
-0.018713975325226784,
-0.14231868088245392,
-0.03984254226088524,
0.01820659451186657,
0.037092648446559906,
0.08349809050559998,
0.036723826080560684,
0.005669475067406893,
0.028463158756494522,
-0.04602545127272606,
0.04801426827907562,
0.05706008896231651,
0.0816328227519989,
0.10032983124256134,
-0.026516178622841835,
-0.03674589470028877,
-0.03936229646205902,
-0.08357241004705429,
-0.01255181897431612,
0.08787854760885239,
-0.0006234713364392519,
-0.07261494547128677,
-0.09440764784812927,
0.06400956213474274,
0.0840645357966423,
-0.0376862958073616,
-0.03416791558265686,
0.021039392799139023,
-0.034717265516519547,
0.03988396376371384,
0.04920279234647751,
0.04509837552905083,
0.02983558364212513,
-0.04525382071733475,
-4.2507029007765595e-8,
0.013885479420423508,
-0.0032673790119588375,
-0.06753577291965485,
-0.028290577232837677,
0.015779949724674225,
-0.027213625609874725,
0.0156553965061903,
-0.0542566291987896,
0.013671661727130413,
-0.06546100229024887,
0.06634154170751572,
-0.0583593025803566,
-0.07197662442922592,
-0.024199701845645905,
0.04813108593225479,
0.04476547986268997,
-0.015505357645452023,
0.01843675784766674,
-0.02229991927742958,
0.011482108384370804,
0.02589705027639866,
0.03687994182109833,
-0.013398132286965847,
-0.05103181675076485,
0.06637848913669586,
0.0010537364287301898,
-0.016533950343728065,
-0.020338159054517746,
0.05809025838971138,
-0.005847461987286806,
-0.03651806339621544,
0.016097309067845345,
0.04392749071121216,
-0.00550390500575304,
0.013925082981586456,
0.012600695714354515,
0.019540689885616302,
0.0010648161405697465,
-0.10468987375497818,
-0.03901178389787674,
-0.1385965645313263,
0.022901667281985283,
-0.15232425928115845,
-0.03765908628702164,
-0.043849747627973557,
-0.05464141070842743,
-0.011709335260093212,
0.03957360237836838,
0.02847273088991642,
-0.019578717648983,
0.027616841718554497,
0.007378675043582916,
0.05176408216357231,
-0.07327007502317429,
-0.023448223248124123,
-0.0008797015761956573,
0.0008890936733223498,
0.005262474995106459,
-0.007237517740577459,
-0.05206660181283951,
0.04254011809825897,
0.010772265493869781,
-0.04069680720567703,
-0.0075355954468250275
] |
1401.6310
|
Matthew England Dr
|
R. Bradford, C. Chen, J.H. Davenport, M. England, M. Moreno Maza and
D. Wilson
|
Truth Table Invariant Cylindrical Algebraic Decomposition by Regular
Chains
| null |
V.P. Gerdt W. Koepf, W.M. Seiler and E.V. Vorozhtsov, eds.
Computer Algebra in Scientific Computing, pp. 44-58. (Lecture Notes in
Computer Science, 8660). Springer International, 2014
|
10.1007/978-3-319-10515-4_4
| null |
cs.SC math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new algorithm to compute cylindrical algebraic decompositions (CADs) is
presented, building on two recent advances. Firstly, the output is truth table
invariant (a TTICAD) meaning given formulae have constant truth value on each
cell of the decomposition. Secondly, the computation uses regular chains theory
to first build a cylindrical decomposition of complex space (CCD) incrementally
by polynomial. Significant modification of the regular chains technology was
used to achieve the more sophisticated invariance criteria. Experimental
results on an implementation in the RegularChains Library for Maple verify that
combining these advances gives an algorithm superior to its individual
components and competitive with the state of the art.
|
[
{
"created": "Fri, 24 Jan 2014 10:52:25 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Apr 2014 15:28:40 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Jun 2014 10:08:22 GMT",
"version": "v3"
}
] |
2014-09-04
|
[
[
"Bradford",
"R.",
""
],
[
"Chen",
"C.",
""
],
[
"Davenport",
"J. H.",
""
],
[
"England",
"M.",
""
],
[
"Maza",
"M. Moreno",
""
],
[
"Wilson",
"D.",
""
]
] |
[
-0.06609329581260681,
0.12541526556015015,
-0.025006355717778206,
-0.027453238144516945,
0.02117808163166046,
-0.1303749978542328,
-0.05139021575450897,
-0.04786984622478485,
0.016148557886481285,
-0.005740302614867687,
-0.0068595209158957005,
0.029308686032891273,
0.015339143574237823,
0.04260975494980812,
-0.048694707453250885,
-0.07896497845649719,
-0.09060902148485184,
0.12782230973243713,
-0.04420645162463188,
-0.004242703318595886,
0.00608258880674839,
0.0013810620876029134,
-0.10154660046100616,
0.03437347710132599,
0.15008054673671722,
-0.008120909333229065,
0.06988107413053513,
0.0477227121591568,
0.03234151750802994,
0.030903136357665062,
0.039956673979759216,
0.009494870901107788,
-0.02171083725988865,
-0.08049694448709488,
-0.008689437992870808,
0.029626214876770973,
0.0009332373738288879,
0.029986873269081116,
0.0034848235081881285,
-0.014368925243616104,
-0.021503176540136337,
0.08535293489694595,
0.04731159284710884,
0.013131096959114075,
-0.0014494676142930984,
0.0940483883023262,
-0.07794011384248734,
-0.03818449005484581,
-0.04205084592103958,
-0.015363376587629318,
-0.0013619837118312716,
0.008451380766928196,
-0.03455303609371185,
0.07835862785577774,
0.01567227952182293,
-0.04666758328676224,
-0.044396355748176575,
-0.03576388955116272,
0.013618206605315208,
-0.039531245827674866,
0.013536784797906876,
0.043330613523721695,
0.010225542820990086,
-0.02128990925848484,
-0.010627630166709423,
0.029041815549135208,
-0.05113277584314346,
-0.0010431488044559956,
-0.025675920769572258,
0.01024716068059206,
-0.034850239753723145,
0.008194008842110634,
-0.08250309526920319,
0.020949313417077065,
-0.02381044067442417,
0.026463119313120842,
-0.06238318234682083,
-0.11463004350662231,
-0.06644000113010406,
0.047363948076963425,
0.021921416744589806,
0.1035001128911972,
-0.05031865835189819,
-0.00772040756419301,
-0.015415181405842304,
-0.0009959792951121926,
-0.02845780737698078,
0.035099469125270844,
0.04110245034098625,
0.022799862548708916,
0.10120520740747452,
0.07079675048589706,
0.04051913693547249,
0.002939015394076705,
-0.10826779156923294,
0.007322270888835192,
0.03554048389196396,
0.12154824286699295,
0.08471551537513733,
0.05628332123160362,
0.01056795846670866,
-0.06935012340545654,
0.030730273574590683,
-0.023590391501784325,
0.00604953384026885,
0.13175125420093536,
0.03706289082765579,
0.02227727137506008,
-0.013111906126141548,
-0.1214427724480629,
0.03421000391244888,
-0.06021299585700035,
-0.04375097528100014,
-0.07236850261688232,
-0.045187246054410934,
0.028729045763611794,
-0.0018441294087097049,
0.019222227856516838,
0.08281875401735306,
0.01641114614903927,
0.008543400093913078,
0.0017228568904101849,
0.04637783020734787,
0.08830086886882782,
0.0662967711687088,
-0.016073506325483322,
-0.024927139282226562,
3.790060109989913e-33,
-0.09793489426374435,
0.11202196776866913,
-0.02166319265961647,
-0.018909240141510963,
-0.014761830680072308,
-0.014504975639283657,
0.028245653957128525,
-0.021408546715974808,
0.06966107338666916,
0.10464274883270264,
-0.05315840244293213,
0.040984172374010086,
-0.05356203764677048,
-0.03365560993552208,
0.04914989694952965,
0.005093940533697605,
0.05702754482626915,
-0.0010465788654983044,
-0.07620927691459656,
-0.004639237187802792,
0.07553751766681671,
-0.001594035536982119,
0.03395836800336838,
-0.022682445123791695,
0.03626766428351402,
0.028373820707201958,
0.04134076461195946,
-0.002724659163504839,
-0.021490206941962242,
-0.0064635188318789005,
0.0842137411236763,
-0.031044689938426018,
-0.03388037532567978,
0.06943001598119736,
0.016233501955866814,
0.00308422208763659,
0.052337341010570526,
-0.030825577676296234,
0.011479753069579601,
-0.03779326751828194,
0.019826063886284828,
0.010424409992992878,
-0.012942446395754814,
0.026556717231869698,
-0.048108018934726715,
0.03804982081055641,
0.015936581417918205,
0.06753526628017426,
0.08733352273702621,
0.03366163372993469,
0.04491939768195152,
0.021837620064616203,
0.000416875904193148,
0.01961805485188961,
-0.06640022248029709,
-0.015952808782458305,
-0.03870164602994919,
0.00453046103939414,
0.10115449875593185,
0.1009494960308075,
-0.05749931558966637,
0.015369352884590626,
-0.07840821146965027,
-0.024094199761748314,
-0.09320345520973206,
0.0443895198404789,
-0.034186623990535736,
-0.08322983980178833,
0.02180405519902706,
-0.00912404339760542,
-0.056088387966156006,
-0.013931160792708397,
-0.011381197720766068,
0.0056480104103684425,
0.0788574293255806,
-0.016983335837721825,
-0.02530471235513687,
-0.0697455182671547,
0.015256555750966072,
-0.10206705331802368,
-0.10544005036354065,
0.16766943037509918,
-0.017336389049887657,
0.0210231002420187,
0.03131119906902313,
-0.09195830672979355,
0.011853541247546673,
0.0712880864739418,
-0.0465889535844326,
-0.0499747171998024,
-0.042467013001441956,
-0.012492172420024872,
0.036537591367959976,
0.022678660228848457,
0.049131155014038086,
-3.397414874772529e-33,
-0.04385612905025482,
-0.008145841769874096,
0.03299330919981003,
-0.002300252439454198,
-0.06434107571840286,
-0.10472527146339417,
-0.03860345482826233,
0.011859236285090446,
0.013924957253038883,
-0.027457889169454575,
0.028607117012143135,
-0.021645164117217064,
-0.08153024315834045,
0.1327877938747406,
0.0853625163435936,
0.0014658726286143064,
-0.0012126342626288533,
-0.04609518498182297,
-0.08698442578315735,
-0.012456920929253101,
-0.04673682153224945,
0.055178653448820114,
-0.050151415169239044,
-0.024874921888113022,
-0.0033700913190841675,
0.040248025208711624,
0.008882141672074795,
-0.008533474989235401,
0.10665379464626312,
0.04512568563222885,
-0.06367459893226624,
-0.05944034829735756,
-0.004074395634233952,
0.07251115143299103,
-0.02705390751361847,
-0.01190327201038599,
0.003074169624596834,
0.036433830857276917,
-0.013690557330846786,
-0.06737955659627914,
-0.00039844843558967113,
-0.012987503781914711,
-0.0593561977148056,
0.02576407790184021,
-0.03204092010855675,
0.021609166637063026,
0.02513285167515278,
0.0693930834531784,
0.055205877870321274,
-0.017720144242048264,
-0.0019215591019019485,
0.01151787769049406,
0.029751550406217575,
0.005699644330888987,
0.0502801313996315,
0.021899065002799034,
0.010003747418522835,
-0.024219373241066933,
0.0312936007976532,
-0.1167335957288742,
-0.023823125287890434,
-0.04340209439396858,
0.12771786749362946,
0.013431809842586517,
0.05226273462176323,
0.009246035479009151,
0.023381497710943222,
-0.04529503360390663,
-0.059777483344078064,
0.025442011654376984,
0.034094445407390594,
0.03592503443360329,
-0.06061768904328346,
0.0067036026157438755,
-0.0167824886739254,
-0.0559004545211792,
0.04150848463177681,
0.001844574697315693,
0.051694683730602264,
0.06401754915714264,
0.03784459829330444,
-0.03747237101197243,
0.008993909694254398,
-0.012893041595816612,
0.01562996208667755,
-0.04598700627684593,
-0.04282262176275253,
-0.022547494620084763,
0.023039354011416435,
0.011117237620055676,
0.0480438768863678,
0.03914826735854149,
0.05283433571457863,
0.04830325022339821,
0.02609606459736824,
-4.485526616804236e-8,
-0.03500886261463165,
-0.043771661818027496,
-0.09753493219614029,
-0.05856868997216225,
-0.04342084750533104,
-0.09353168308734894,
0.03509083390235901,
0.0331956148147583,
-0.0068543278612196445,
-0.040639206767082214,
0.11962893605232239,
-0.018028754740953445,
-0.08333253115415573,
-0.02107327990233898,
0.008351774886250496,
0.027792930603027344,
0.014336242340505123,
-0.00038784233038313687,
-0.03279169648885727,
-0.021594732999801636,
-0.03495599702000618,
0.03751325607299805,
-0.1026543453335762,
0.03534839674830437,
-0.024999340996146202,
-0.07213126122951508,
-0.030849091708660126,
0.01220460794866085,
0.07474440336227417,
0.02516191080212593,
0.0318148247897625,
0.017316045239567757,
0.03148872032761574,
0.077606700360775,
0.03564649820327759,
0.03488072007894516,
-0.021374158561229706,
0.020491942763328552,
-0.029894564300775528,
-0.006933145225048065,
-0.04321178421378136,
-0.007454943377524614,
-0.04574067145586014,
-0.03504032641649246,
0.07216592878103256,
0.009416786022484303,
0.0569315180182457,
-0.036337677389383316,
-0.05226729065179825,
0.08888555318117142,
0.023311937227845192,
-0.03622044250369072,
-0.10193262994289398,
-0.05796302109956741,
-0.07755756378173828,
-0.024099033325910568,
0.03179844841361046,
-0.02940121293067932,
-0.025170641019940376,
-0.06986285746097565,
-0.013093315996229649,
0.028067899867892265,
0.08124524354934692,
-0.056217022240161896
] | null | null | null | null | null | null | null |
[
-0.06609329581260681,
0.12541526556015015,
-0.025006355717778206,
-0.027453238144516945,
0.02117808163166046,
-0.1303749978542328,
-0.05139021575450897,
-0.04786984622478485,
0.016148557886481285,
-0.005740302614867687,
-0.0068595209158957005,
0.029308686032891273,
0.015339143574237823,
0.04260975494980812,
-0.048694707453250885,
-0.07896497845649719,
-0.09060902148485184,
0.12782230973243713,
-0.04420645162463188,
-0.004242703318595886,
0.00608258880674839,
0.0013810620876029134,
-0.10154660046100616,
0.03437347710132599,
0.15008054673671722,
-0.008120909333229065,
0.06988107413053513,
0.0477227121591568,
0.03234151750802994,
0.030903136357665062,
0.039956673979759216,
0.009494870901107788,
-0.02171083725988865,
-0.08049694448709488,
-0.008689437992870808,
0.029626214876770973,
0.0009332373738288879,
0.029986873269081116,
0.0034848235081881285,
-0.014368925243616104,
-0.021503176540136337,
0.08535293489694595,
0.04731159284710884,
0.013131096959114075,
-0.0014494676142930984,
0.0940483883023262,
-0.07794011384248734,
-0.03818449005484581,
-0.04205084592103958,
-0.015363376587629318,
-0.0013619837118312716,
0.008451380766928196,
-0.03455303609371185,
0.07835862785577774,
0.01567227952182293,
-0.04666758328676224,
-0.044396355748176575,
-0.03576388955116272,
0.013618206605315208,
-0.039531245827674866,
0.013536784797906876,
0.043330613523721695,
0.010225542820990086,
-0.02128990925848484,
-0.010627630166709423,
0.029041815549135208,
-0.05113277584314346,
-0.0010431488044559956,
-0.025675920769572258,
0.01024716068059206,
-0.034850239753723145,
0.008194008842110634,
-0.08250309526920319,
0.020949313417077065,
-0.02381044067442417,
0.026463119313120842,
-0.06238318234682083,
-0.11463004350662231,
-0.06644000113010406,
0.047363948076963425,
0.021921416744589806,
0.1035001128911972,
-0.05031865835189819,
-0.00772040756419301,
-0.015415181405842304,
-0.0009959792951121926,
-0.02845780737698078,
0.035099469125270844,
0.04110245034098625,
0.022799862548708916,
0.10120520740747452,
0.07079675048589706,
0.04051913693547249,
0.002939015394076705,
-0.10826779156923294,
0.007322270888835192,
0.03554048389196396,
0.12154824286699295,
0.08471551537513733,
0.05628332123160362,
0.01056795846670866,
-0.06935012340545654,
0.030730273574590683,
-0.023590391501784325,
0.00604953384026885,
0.13175125420093536,
0.03706289082765579,
0.02227727137506008,
-0.013111906126141548,
-0.1214427724480629,
0.03421000391244888,
-0.06021299585700035,
-0.04375097528100014,
-0.07236850261688232,
-0.045187246054410934,
0.028729045763611794,
-0.0018441294087097049,
0.019222227856516838,
0.08281875401735306,
0.01641114614903927,
0.008543400093913078,
0.0017228568904101849,
0.04637783020734787,
0.08830086886882782,
0.0662967711687088,
-0.016073506325483322,
-0.024927139282226562,
3.790060109989913e-33,
-0.09793489426374435,
0.11202196776866913,
-0.02166319265961647,
-0.018909240141510963,
-0.014761830680072308,
-0.014504975639283657,
0.028245653957128525,
-0.021408546715974808,
0.06966107338666916,
0.10464274883270264,
-0.05315840244293213,
0.040984172374010086,
-0.05356203764677048,
-0.03365560993552208,
0.04914989694952965,
0.005093940533697605,
0.05702754482626915,
-0.0010465788654983044,
-0.07620927691459656,
-0.004639237187802792,
0.07553751766681671,
-0.001594035536982119,
0.03395836800336838,
-0.022682445123791695,
0.03626766428351402,
0.028373820707201958,
0.04134076461195946,
-0.002724659163504839,
-0.021490206941962242,
-0.0064635188318789005,
0.0842137411236763,
-0.031044689938426018,
-0.03388037532567978,
0.06943001598119736,
0.016233501955866814,
0.00308422208763659,
0.052337341010570526,
-0.030825577676296234,
0.011479753069579601,
-0.03779326751828194,
0.019826063886284828,
0.010424409992992878,
-0.012942446395754814,
0.026556717231869698,
-0.048108018934726715,
0.03804982081055641,
0.015936581417918205,
0.06753526628017426,
0.08733352273702621,
0.03366163372993469,
0.04491939768195152,
0.021837620064616203,
0.000416875904193148,
0.01961805485188961,
-0.06640022248029709,
-0.015952808782458305,
-0.03870164602994919,
0.00453046103939414,
0.10115449875593185,
0.1009494960308075,
-0.05749931558966637,
0.015369352884590626,
-0.07840821146965027,
-0.024094199761748314,
-0.09320345520973206,
0.0443895198404789,
-0.034186623990535736,
-0.08322983980178833,
0.02180405519902706,
-0.00912404339760542,
-0.056088387966156006,
-0.013931160792708397,
-0.011381197720766068,
0.0056480104103684425,
0.0788574293255806,
-0.016983335837721825,
-0.02530471235513687,
-0.0697455182671547,
0.015256555750966072,
-0.10206705331802368,
-0.10544005036354065,
0.16766943037509918,
-0.017336389049887657,
0.0210231002420187,
0.03131119906902313,
-0.09195830672979355,
0.011853541247546673,
0.0712880864739418,
-0.0465889535844326,
-0.0499747171998024,
-0.042467013001441956,
-0.012492172420024872,
0.036537591367959976,
0.022678660228848457,
0.049131155014038086,
-3.397414874772529e-33,
-0.04385612905025482,
-0.008145841769874096,
0.03299330919981003,
-0.002300252439454198,
-0.06434107571840286,
-0.10472527146339417,
-0.03860345482826233,
0.011859236285090446,
0.013924957253038883,
-0.027457889169454575,
0.028607117012143135,
-0.021645164117217064,
-0.08153024315834045,
0.1327877938747406,
0.0853625163435936,
0.0014658726286143064,
-0.0012126342626288533,
-0.04609518498182297,
-0.08698442578315735,
-0.012456920929253101,
-0.04673682153224945,
0.055178653448820114,
-0.050151415169239044,
-0.024874921888113022,
-0.0033700913190841675,
0.040248025208711624,
0.008882141672074795,
-0.008533474989235401,
0.10665379464626312,
0.04512568563222885,
-0.06367459893226624,
-0.05944034829735756,
-0.004074395634233952,
0.07251115143299103,
-0.02705390751361847,
-0.01190327201038599,
0.003074169624596834,
0.036433830857276917,
-0.013690557330846786,
-0.06737955659627914,
-0.00039844843558967113,
-0.012987503781914711,
-0.0593561977148056,
0.02576407790184021,
-0.03204092010855675,
0.021609166637063026,
0.02513285167515278,
0.0693930834531784,
0.055205877870321274,
-0.017720144242048264,
-0.0019215591019019485,
0.01151787769049406,
0.029751550406217575,
0.005699644330888987,
0.0502801313996315,
0.021899065002799034,
0.010003747418522835,
-0.024219373241066933,
0.0312936007976532,
-0.1167335957288742,
-0.023823125287890434,
-0.04340209439396858,
0.12771786749362946,
0.013431809842586517,
0.05226273462176323,
0.009246035479009151,
0.023381497710943222,
-0.04529503360390663,
-0.059777483344078064,
0.025442011654376984,
0.034094445407390594,
0.03592503443360329,
-0.06061768904328346,
0.0067036026157438755,
-0.0167824886739254,
-0.0559004545211792,
0.04150848463177681,
0.001844574697315693,
0.051694683730602264,
0.06401754915714264,
0.03784459829330444,
-0.03747237101197243,
0.008993909694254398,
-0.012893041595816612,
0.01562996208667755,
-0.04598700627684593,
-0.04282262176275253,
-0.022547494620084763,
0.023039354011416435,
0.011117237620055676,
0.0480438768863678,
0.03914826735854149,
0.05283433571457863,
0.04830325022339821,
0.02609606459736824,
-4.485526616804236e-8,
-0.03500886261463165,
-0.043771661818027496,
-0.09753493219614029,
-0.05856868997216225,
-0.04342084750533104,
-0.09353168308734894,
0.03509083390235901,
0.0331956148147583,
-0.0068543278612196445,
-0.040639206767082214,
0.11962893605232239,
-0.018028754740953445,
-0.08333253115415573,
-0.02107327990233898,
0.008351774886250496,
0.027792930603027344,
0.014336242340505123,
-0.00038784233038313687,
-0.03279169648885727,
-0.021594732999801636,
-0.03495599702000618,
0.03751325607299805,
-0.1026543453335762,
0.03534839674830437,
-0.024999340996146202,
-0.07213126122951508,
-0.030849091708660126,
0.01220460794866085,
0.07474440336227417,
0.02516191080212593,
0.0318148247897625,
0.017316045239567757,
0.03148872032761574,
0.077606700360775,
0.03564649820327759,
0.03488072007894516,
-0.021374158561229706,
0.020491942763328552,
-0.029894564300775528,
-0.006933145225048065,
-0.04321178421378136,
-0.007454943377524614,
-0.04574067145586014,
-0.03504032641649246,
0.07216592878103256,
0.009416786022484303,
0.0569315180182457,
-0.036337677389383316,
-0.05226729065179825,
0.08888555318117142,
0.023311937227845192,
-0.03622044250369072,
-0.10193262994289398,
-0.05796302109956741,
-0.07755756378173828,
-0.024099033325910568,
0.03179844841361046,
-0.02940121293067932,
-0.025170641019940376,
-0.06986285746097565,
-0.013093315996229649,
0.028067899867892265,
0.08124524354934692,
-0.056217022240161896
] |
1401.6312
|
Bart Bogaerts
|
Broes De Cat, Bart Bogaerts, Maurice Bruynooghe, Gerda Janssens and
Marc Denecker
|
Predicate Logic as a Modelling Language: The IDP System
| null | null | null | null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
With the technology of the time, Kowalski's seminal 1974 paper {\em Predicate
Logic as a Programming Language} was a breakthrough for the use of logic in
computer science. It introduced two fundamental ideas: on the declarative side,
the use of the Horn clause logic fragment of classical logic, which was soon
extended with negation as failure, on the procedural side the procedural
interpretation which made it possible to write algorithms in the formalism.
Since then, strong progress was made both on the declarative understanding of
the logic programming formalism and in automated reasoning technologies,
particularly in SAT solving, Constraint Programming and Answer Set Programming.
This has paved the way for the development of an extension of logic programming
that embodies a more pure view of logic as a modelling language and its role
for problem solving.
In this paper, we present the \idp language and system. The language is
essentially classical logic extended with one of logic programmings most
important contributions to knowledge representation: the representation of
complex definitions as rule sets under well-founded semantics. The system is a
knowledge base system: a system in which complex declarative information is
stored in a knowledge base which can be used to solve different computational
problems by applying multiple forms of inference. In this view, theories are
declarative modellings, bags of information, descriptions of possible states of
affairs. They are neither procedures nor descriptions of computational
problems. As such, the \idp language and system preserve the fundamental idea
of a declarative reading of logic programs, while they break with the
fundamental idea of the procedural interpretation of logic programs.
|
[
{
"created": "Fri, 24 Jan 2014 11:13:43 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Mar 2016 09:43:32 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Mar 2018 13:06:19 GMT",
"version": "v3"
}
] |
2018-03-14
|
[
[
"De Cat",
"Broes",
""
],
[
"Bogaerts",
"Bart",
""
],
[
"Bruynooghe",
"Maurice",
""
],
[
"Janssens",
"Gerda",
""
],
[
"Denecker",
"Marc",
""
]
] |
[
0.019999854266643524,
0.08005116134881973,
0.008377188816666603,
-0.016538314521312714,
-0.027378086000680923,
-0.06132286787033081,
0.0782274454832077,
0.10000354796648026,
-0.05647436901926994,
0.05553998053073883,
-0.046300239861011505,
-0.006881035398691893,
0.08688726276159286,
0.0853765606880188,
0.04332011193037033,
0.05681276693940163,
-0.024878863245248795,
0.0021821593400090933,
-0.03443431854248047,
-0.0609428733587265,
0.0038754092529416084,
-0.013844056986272335,
-0.10564877837896347,
-0.007151290774345398,
-0.0362427793443203,
0.024576382711529732,
0.03759060055017471,
-0.03227011859416962,
-0.0260225310921669,
0.034970588982105255,
-0.031878773123025894,
0.010095527395606041,
0.05028247460722923,
0.08831968903541565,
0.02264433167874813,
0.024979224428534508,
0.031002918258309364,
-0.06809750199317932,
-0.07473964989185333,
-0.018787892535328865,
-0.06746415048837662,
-0.01113271713256836,
-0.06725700199604034,
-0.006955993827432394,
0.06953602284193039,
0.09499792754650116,
-0.0687233954668045,
0.08764760941267014,
-0.06137342005968094,
-0.026400336995720863,
-0.1116488054394722,
-0.0032122363336384296,
-0.004833778366446495,
-0.06620923429727554,
0.06587589532136917,
-0.016206493601202965,
-0.008033507503569126,
-0.05102986842393875,
-0.03946101292967796,
-0.11417828500270844,
-0.05286909267306328,
-0.03708535060286522,
-0.025718068704009056,
-0.035958077758550644,
-0.02949347347021103,
-0.015494860708713531,
-0.04651498422026634,
0.007324425503611565,
0.07011019438505173,
0.07433152943849564,
-0.0676623210310936,
0.024680687114596367,
-0.05483916401863098,
0.025971071794629097,
-0.059411078691482544,
-0.037127502262592316,
0.05140846222639084,
0.009039214812219143,
0.031181728467345238,
-0.03178665414452553,
-0.059769004583358765,
0.032442908734083176,
-0.06057034060359001,
0.0889735147356987,
0.049293916672468185,
-0.052962664514780045,
-0.03972332179546356,
0.05587727576494217,
0.051750652492046356,
0.03995099663734436,
0.0057015493512153625,
-0.055355917662382126,
0.049279846251010895,
0.04608829692006111,
0.12741895020008087,
0.04078352078795433,
-0.005685586016625166,
-0.0709972009062767,
0.017709488049149513,
0.10651230067014694,
-0.024380745366215706,
0.14902234077453613,
0.012043947353959084,
-0.11191318929195404,
-0.02377759851515293,
-0.04696180671453476,
0.026364047080278397,
-0.0402970016002655,
-0.004057297948747873,
-0.12792541086673737,
0.031498201191425323,
-0.009158065542578697,
0.04786085709929466,
-0.08207740634679794,
-0.017038172110915184,
0.012311386875808239,
0.0186515673995018,
0.10960856080055237,
0.03224126994609833,
-0.06575792282819748,
-0.001646016025915742,
0.004912341479212046,
-0.0055985767394304276,
0.04846916347742081,
0.09845636785030365,
-0.05166914686560631,
-0.07425099611282349,
2.2729774323119866e-34,
-0.041001882404088974,
0.01718582585453987,
-0.011609543114900589,
0.04034334421157837,
0.037308789789676666,
0.015845121815800667,
0.018722763285040855,
0.09974896907806396,
-0.071461521089077,
0.04547419771552086,
0.01481887698173523,
0.007797755300998688,
-0.05746408551931381,
0.00751632871106267,
0.02838512510061264,
0.01730177365243435,
0.008753994479775429,
0.008295273408293724,
-0.05716806650161743,
-0.023338450118899345,
0.04320826753973961,
0.007060848642140627,
-0.010801560245454311,
0.06404618918895721,
-0.024580899626016617,
0.04656055569648743,
0.02552790753543377,
-0.06860098987817764,
-0.0026562842540442944,
-0.03103659301996231,
-0.0075468518771231174,
-0.05786977708339691,
0.04073973745107651,
0.0800800547003746,
0.03289621323347092,
0.008208257146179676,
-0.02646302618086338,
-0.06806071847677231,
0.026991786435246468,
0.028525851666927338,
-0.025366779416799545,
0.0374150313436985,
0.01600273698568344,
0.012886585667729378,
-0.032458677887916565,
-0.024479590356349945,
-0.031433992087841034,
0.02278304286301136,
0.025049636140465736,
-0.06857697665691376,
0.08799824863672256,
0.00412383396178484,
0.03381578251719475,
-0.035463847219944,
0.03588466718792915,
0.020025525242090225,
-0.07518182694911957,
0.023983540013432503,
-0.0005144504248164594,
0.03241207078099251,
-0.002985904458910227,
-0.0638781189918518,
0.03083443082869053,
0.021350041031837463,
-0.013149043545126915,
0.03693835064768791,
-0.08777697384357452,
0.05646431818604469,
0.12725673615932465,
0.025447918102145195,
-0.047419171780347824,
-0.03665391355752945,
0.042435262352228165,
0.04804206266999245,
0.016612807288765907,
0.033580463379621506,
0.010805508121848106,
-0.01739644818007946,
0.02384437806904316,
0.005541037302464247,
-0.05845978483557701,
-0.010269200429320335,
-0.08078823238611221,
-0.017505913972854614,
0.07036220282316208,
-0.013718588277697563,
-0.012396018020808697,
0.019691674038767815,
0.0032144987490028143,
-0.10588318854570389,
-0.05656198039650917,
-0.020301107317209244,
0.01688331365585327,
-0.031723689287900925,
0.029575087130069733,
-2.809262888494321e-33,
-0.005473596975207329,
-0.0012306253192946315,
-0.10539034754037857,
-0.035054802894592285,
-0.036530282348394394,
-0.08432027697563171,
0.037623606622219086,
-0.02940310724079609,
0.007166325114667416,
-0.05661597102880478,
0.023472029715776443,
-0.06806416809558868,
0.07851345092058182,
0.01435235608369112,
-0.024846497923135757,
0.04134117066860199,
-0.04287828877568245,
-0.01660613715648651,
-0.05288229137659073,
0.11507853120565414,
-0.0654669851064682,
0.08778969943523407,
-0.12007629871368408,
-0.036142800003290176,
0.020035691559314728,
0.035436637699604034,
-0.01668393984436989,
0.0682782307267189,
-0.016978299245238304,
0.0914861336350441,
-0.018869230523705482,
-0.03341440111398697,
-0.019017837941646576,
-0.04718529060482979,
-0.016121577471494675,
-0.04616987705230713,
0.0611562505364418,
-0.03432951495051384,
-0.07294270396232605,
-0.0382409542798996,
0.013107270002365112,
-0.03298403322696686,
0.04025992751121521,
-0.006944754626601934,
0.015971645712852478,
0.05714476853609085,
-0.05114268511533737,
0.06712530553340912,
0.007007404696196318,
-0.048914648592472076,
0.017754601314663887,
-0.12511134147644043,
0.05440416559576988,
-0.05570705235004425,
0.02976364642381668,
0.006230225786566734,
-0.023851297795772552,
-0.031169196590781212,
-0.021530892699956894,
0.04218486696481705,
-0.017155224457383156,
-0.07147916406393051,
0.10792174190282822,
0.06009197607636452,
-0.015613390132784843,
0.03689345717430115,
-0.027880283072590828,
-0.007614969741553068,
-0.06331274658441544,
-0.08813347667455673,
-0.04777664691209793,
-0.004352967254817486,
-0.03744722902774811,
0.028237536549568176,
-0.010094662196934223,
0.016339875757694244,
-0.021937403827905655,
0.05565842613577843,
-0.027381187304854393,
-0.0021434598602354527,
-0.04067324846982956,
-0.07392198592424393,
0.028999488800764084,
0.01141609437763691,
-0.007296432740986347,
-0.02578653395175934,
0.005538724362850189,
0.06433122605085373,
0.000538941822014749,
0.09038469940423965,
-0.08186790347099304,
0.05881528556346893,
0.02307254448533058,
0.06632031500339508,
-0.08332417160272598,
-4.871491654512283e-8,
-0.054655592888593674,
0.06382903456687927,
0.0025992635637521744,
-0.04811994731426239,
0.07055172324180603,
0.002953032497316599,
-0.01702124811708927,
-0.026695838198065758,
-0.07192041724920273,
-0.05540835112333298,
0.02480229362845421,
0.02522694692015648,
0.015840895473957062,
-0.06370270252227783,
0.007077009417116642,
0.07878202944993973,
0.05460561439394951,
-0.09061244130134583,
-0.02089826762676239,
0.027394047006964684,
0.09629646688699722,
-0.013615262694656849,
-0.02423750050365925,
0.1016104519367218,
0.03428689390420914,
-0.04351627081632614,
-0.000685116508975625,
0.10614205151796341,
0.04789772629737854,
0.03717880696058273,
-0.021868612617254257,
0.0008323696092702448,
0.12279314547777176,
0.05954494699835777,
0.08549407124519348,
0.02461918257176876,
0.023939969018101692,
-0.07137391716241837,
-0.010148227214813232,
-0.0974268689751625,
0.03331141173839569,
0.0694175511598587,
-0.06636402010917664,
0.036166463047266006,
0.05936519429087639,
0.0024041004944592714,
-0.017104165628552437,
0.000835841172374785,
-0.06926816701889038,
0.06464514881372452,
-0.02333577163517475,
0.03384583070874214,
-0.002101201331242919,
0.016636565327644348,
-0.031085321679711342,
0.0728481262922287,
-0.04433344677090645,
-0.006666589993983507,
-0.018098169937729836,
-0.03395115211606026,
-0.01837763749063015,
0.03149750828742981,
0.1027386337518692,
-0.02838880382478237
] | null | null | null | null | null | null | null |
[
0.019999854266643524,
0.08005116134881973,
0.008377188816666603,
-0.016538314521312714,
-0.027378086000680923,
-0.06132286787033081,
0.0782274454832077,
0.10000354796648026,
-0.05647436901926994,
0.05553998053073883,
-0.046300239861011505,
-0.006881035398691893,
0.08688726276159286,
0.0853765606880188,
0.04332011193037033,
0.05681276693940163,
-0.024878863245248795,
0.0021821593400090933,
-0.03443431854248047,
-0.0609428733587265,
0.0038754092529416084,
-0.013844056986272335,
-0.10564877837896347,
-0.007151290774345398,
-0.0362427793443203,
0.024576382711529732,
0.03759060055017471,
-0.03227011859416962,
-0.0260225310921669,
0.034970588982105255,
-0.031878773123025894,
0.010095527395606041,
0.05028247460722923,
0.08831968903541565,
0.02264433167874813,
0.024979224428534508,
0.031002918258309364,
-0.06809750199317932,
-0.07473964989185333,
-0.018787892535328865,
-0.06746415048837662,
-0.01113271713256836,
-0.06725700199604034,
-0.006955993827432394,
0.06953602284193039,
0.09499792754650116,
-0.0687233954668045,
0.08764760941267014,
-0.06137342005968094,
-0.026400336995720863,
-0.1116488054394722,
-0.0032122363336384296,
-0.004833778366446495,
-0.06620923429727554,
0.06587589532136917,
-0.016206493601202965,
-0.008033507503569126,
-0.05102986842393875,
-0.03946101292967796,
-0.11417828500270844,
-0.05286909267306328,
-0.03708535060286522,
-0.025718068704009056,
-0.035958077758550644,
-0.02949347347021103,
-0.015494860708713531,
-0.04651498422026634,
0.007324425503611565,
0.07011019438505173,
0.07433152943849564,
-0.0676623210310936,
0.024680687114596367,
-0.05483916401863098,
0.025971071794629097,
-0.059411078691482544,
-0.037127502262592316,
0.05140846222639084,
0.009039214812219143,
0.031181728467345238,
-0.03178665414452553,
-0.059769004583358765,
0.032442908734083176,
-0.06057034060359001,
0.0889735147356987,
0.049293916672468185,
-0.052962664514780045,
-0.03972332179546356,
0.05587727576494217,
0.051750652492046356,
0.03995099663734436,
0.0057015493512153625,
-0.055355917662382126,
0.049279846251010895,
0.04608829692006111,
0.12741895020008087,
0.04078352078795433,
-0.005685586016625166,
-0.0709972009062767,
0.017709488049149513,
0.10651230067014694,
-0.024380745366215706,
0.14902234077453613,
0.012043947353959084,
-0.11191318929195404,
-0.02377759851515293,
-0.04696180671453476,
0.026364047080278397,
-0.0402970016002655,
-0.004057297948747873,
-0.12792541086673737,
0.031498201191425323,
-0.009158065542578697,
0.04786085709929466,
-0.08207740634679794,
-0.017038172110915184,
0.012311386875808239,
0.0186515673995018,
0.10960856080055237,
0.03224126994609833,
-0.06575792282819748,
-0.001646016025915742,
0.004912341479212046,
-0.0055985767394304276,
0.04846916347742081,
0.09845636785030365,
-0.05166914686560631,
-0.07425099611282349,
2.2729774323119866e-34,
-0.041001882404088974,
0.01718582585453987,
-0.011609543114900589,
0.04034334421157837,
0.037308789789676666,
0.015845121815800667,
0.018722763285040855,
0.09974896907806396,
-0.071461521089077,
0.04547419771552086,
0.01481887698173523,
0.007797755300998688,
-0.05746408551931381,
0.00751632871106267,
0.02838512510061264,
0.01730177365243435,
0.008753994479775429,
0.008295273408293724,
-0.05716806650161743,
-0.023338450118899345,
0.04320826753973961,
0.007060848642140627,
-0.010801560245454311,
0.06404618918895721,
-0.024580899626016617,
0.04656055569648743,
0.02552790753543377,
-0.06860098987817764,
-0.0026562842540442944,
-0.03103659301996231,
-0.0075468518771231174,
-0.05786977708339691,
0.04073973745107651,
0.0800800547003746,
0.03289621323347092,
0.008208257146179676,
-0.02646302618086338,
-0.06806071847677231,
0.026991786435246468,
0.028525851666927338,
-0.025366779416799545,
0.0374150313436985,
0.01600273698568344,
0.012886585667729378,
-0.032458677887916565,
-0.024479590356349945,
-0.031433992087841034,
0.02278304286301136,
0.025049636140465736,
-0.06857697665691376,
0.08799824863672256,
0.00412383396178484,
0.03381578251719475,
-0.035463847219944,
0.03588466718792915,
0.020025525242090225,
-0.07518182694911957,
0.023983540013432503,
-0.0005144504248164594,
0.03241207078099251,
-0.002985904458910227,
-0.0638781189918518,
0.03083443082869053,
0.021350041031837463,
-0.013149043545126915,
0.03693835064768791,
-0.08777697384357452,
0.05646431818604469,
0.12725673615932465,
0.025447918102145195,
-0.047419171780347824,
-0.03665391355752945,
0.042435262352228165,
0.04804206266999245,
0.016612807288765907,
0.033580463379621506,
0.010805508121848106,
-0.01739644818007946,
0.02384437806904316,
0.005541037302464247,
-0.05845978483557701,
-0.010269200429320335,
-0.08078823238611221,
-0.017505913972854614,
0.07036220282316208,
-0.013718588277697563,
-0.012396018020808697,
0.019691674038767815,
0.0032144987490028143,
-0.10588318854570389,
-0.05656198039650917,
-0.020301107317209244,
0.01688331365585327,
-0.031723689287900925,
0.029575087130069733,
-2.809262888494321e-33,
-0.005473596975207329,
-0.0012306253192946315,
-0.10539034754037857,
-0.035054802894592285,
-0.036530282348394394,
-0.08432027697563171,
0.037623606622219086,
-0.02940310724079609,
0.007166325114667416,
-0.05661597102880478,
0.023472029715776443,
-0.06806416809558868,
0.07851345092058182,
0.01435235608369112,
-0.024846497923135757,
0.04134117066860199,
-0.04287828877568245,
-0.01660613715648651,
-0.05288229137659073,
0.11507853120565414,
-0.0654669851064682,
0.08778969943523407,
-0.12007629871368408,
-0.036142800003290176,
0.020035691559314728,
0.035436637699604034,
-0.01668393984436989,
0.0682782307267189,
-0.016978299245238304,
0.0914861336350441,
-0.018869230523705482,
-0.03341440111398697,
-0.019017837941646576,
-0.04718529060482979,
-0.016121577471494675,
-0.04616987705230713,
0.0611562505364418,
-0.03432951495051384,
-0.07294270396232605,
-0.0382409542798996,
0.013107270002365112,
-0.03298403322696686,
0.04025992751121521,
-0.006944754626601934,
0.015971645712852478,
0.05714476853609085,
-0.05114268511533737,
0.06712530553340912,
0.007007404696196318,
-0.048914648592472076,
0.017754601314663887,
-0.12511134147644043,
0.05440416559576988,
-0.05570705235004425,
0.02976364642381668,
0.006230225786566734,
-0.023851297795772552,
-0.031169196590781212,
-0.021530892699956894,
0.04218486696481705,
-0.017155224457383156,
-0.07147916406393051,
0.10792174190282822,
0.06009197607636452,
-0.015613390132784843,
0.03689345717430115,
-0.027880283072590828,
-0.007614969741553068,
-0.06331274658441544,
-0.08813347667455673,
-0.04777664691209793,
-0.004352967254817486,
-0.03744722902774811,
0.028237536549568176,
-0.010094662196934223,
0.016339875757694244,
-0.021937403827905655,
0.05565842613577843,
-0.027381187304854393,
-0.0021434598602354527,
-0.04067324846982956,
-0.07392198592424393,
0.028999488800764084,
0.01141609437763691,
-0.007296432740986347,
-0.02578653395175934,
0.005538724362850189,
0.06433122605085373,
0.000538941822014749,
0.09038469940423965,
-0.08186790347099304,
0.05881528556346893,
0.02307254448533058,
0.06632031500339508,
-0.08332417160272598,
-4.871491654512283e-8,
-0.054655592888593674,
0.06382903456687927,
0.0025992635637521744,
-0.04811994731426239,
0.07055172324180603,
0.002953032497316599,
-0.01702124811708927,
-0.026695838198065758,
-0.07192041724920273,
-0.05540835112333298,
0.02480229362845421,
0.02522694692015648,
0.015840895473957062,
-0.06370270252227783,
0.007077009417116642,
0.07878202944993973,
0.05460561439394951,
-0.09061244130134583,
-0.02089826762676239,
0.027394047006964684,
0.09629646688699722,
-0.013615262694656849,
-0.02423750050365925,
0.1016104519367218,
0.03428689390420914,
-0.04351627081632614,
-0.000685116508975625,
0.10614205151796341,
0.04789772629737854,
0.03717880696058273,
-0.021868612617254257,
0.0008323696092702448,
0.12279314547777176,
0.05954494699835777,
0.08549407124519348,
0.02461918257176876,
0.023939969018101692,
-0.07137391716241837,
-0.010148227214813232,
-0.0974268689751625,
0.03331141173839569,
0.0694175511598587,
-0.06636402010917664,
0.036166463047266006,
0.05936519429087639,
0.0024041004944592714,
-0.017104165628552437,
0.000835841172374785,
-0.06926816701889038,
0.06464514881372452,
-0.02333577163517475,
0.03384583070874214,
-0.002101201331242919,
0.016636565327644348,
-0.031085321679711342,
0.0728481262922287,
-0.04433344677090645,
-0.006666589993983507,
-0.018098169937729836,
-0.03395115211606026,
-0.01837763749063015,
0.03149750828742981,
0.1027386337518692,
-0.02838880382478237
] |
1401.6317
|
Muhammad Aamir
|
Muhammad Aamir and Mustafa Ali Zaidi
|
DDoS Attack and Defense: Review of Some Traditional and Current
Techniques
|
This paper is being withdrawn by the author due to a critical signing
mistake in equation 5
| null | null | null |
cs.CR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Distributed Denial of Service (DDoS) attacks exhaust victim's bandwidth or
services. Traditional architecture of Internet is vulnerable to DDoS attacks
and an ongoing cycle of attack & defense is observed. In this paper, different
types and techniques of DDoS attacks and their countermeasures are reviewed.
The significance of this paper is the coverage of many aspects of countering
DDoS attacks including new research on the topic. We survey different papers
describing methods of defense against DDoS attacks based on entropy variations,
traffic anomaly parameters, neural networks, device level defense, botnet flux
identifications and application layer DDoS defense. We also discuss some
traditional methods of defense such as traceback and packet filtering
techniques so that readers can identify major differences between traditional
and current techniques of defense against DDoS attacks. Before the discussion
on countermeasures, we mention different attack types under DDoS with
traditional and advanced schemes while some information on DDoS trends in the
year 2012 Quarter-1 is also provided. We identify that application layer DDoS
attacks possess the ability to produce greater impact on the victim as they are
driven by legitimate-like traffic making it quite difficult to identify and
distinguish from legitimate requests. The need of improved defense against such
attacks is therefore more demanding in research. The study conducted in this
paper can be helpful for readers and researchers to recognize better techniques
of defense in current times against DDoS attacks and contribute with more
research on the topic in the light of future challenges identified in this
paper.
|
[
{
"created": "Fri, 24 Jan 2014 11:43:28 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Mar 2014 19:36:21 GMT",
"version": "v2"
}
] |
2014-03-24
|
[
[
"Aamir",
"Muhammad",
""
],
[
"Zaidi",
"Mustafa Ali",
""
]
] |
[
-0.03156951814889908,
-0.007885131053626537,
0.050620999187231064,
-0.04546639323234558,
0.007446090690791607,
0.023860715329647064,
0.0919571965932846,
0.004047498572617769,
0.018420115113258362,
-0.001578360446728766,
-0.032761603593826294,
0.010396650061011314,
0.022115902975201607,
-0.042708974331617355,
0.006232557352632284,
0.009539772756397724,
0.107233926653862,
0.04932582378387451,
-0.001382337766699493,
-0.02240959368646145,
0.002120435470715165,
0.028244856745004654,
-0.004833366256207228,
0.008557477034628391,
-0.07707346975803375,
0.014647332020103931,
-0.0032514852937310934,
-0.007320862263441086,
-0.0323578417301178,
0.016613613814115524,
0.07228782773017883,
0.0032021792139858007,
-0.0946984738111496,
0.03136063367128372,
-0.08104819804430008,
-0.05782034620642662,
0.0018797136144712567,
0.05693082883954048,
0.018501630052924156,
0.00043051756802015007,
0.025122132152318954,
-0.06397315114736557,
0.019673535600304604,
0.044249098747968674,
-0.026004228740930557,
-0.008713616989552975,
-0.03977682814002037,
0.04310940206050873,
0.04290967062115669,
-0.04293549805879593,
0.1048460602760315,
0.045213811099529266,
0.03688422963023186,
0.02067764289677143,
-0.02264726348221302,
-0.06035473570227623,
-0.025871828198432922,
0.03808649629354477,
0.0008607292547821999,
0.03205146640539169,
-0.033734727650880814,
0.0005859822849743068,
0.0008916457882151008,
0.053241971880197525,
-0.031747590750455856,
0.016169313341379166,
0.02239404246211052,
0.07316670566797256,
0.04106321185827255,
0.04842136427760124,
-0.020972127094864845,
0.09583864361047745,
-0.06075011193752289,
0.04755433276295662,
-0.014467348344624043,
-0.0031579872593283653,
0.01805827021598816,
-0.03602363169193268,
-0.026565231382846832,
-0.03860054910182953,
0.007372355088591576,
-0.002779234666377306,
0.03906115144491196,
0.03766537085175514,
-0.033407703042030334,
0.04216324910521507,
-0.003566259052604437,
-0.019078457728028297,
0.030040938407182693,
0.01971297338604927,
-0.022617530077695847,
0.06691814959049225,
0.08220244944095612,
0.05918683484196663,
0.1162460595369339,
0.07834087312221527,
-0.07309164106845856,
-0.06150278449058533,
0.020807260647416115,
0.051042307168245316,
-0.0076968674547970295,
-0.04195025935769081,
-0.02790137007832527,
-0.05471397563815117,
0.11197460442781448,
0.007642809301614761,
0.028731023892760277,
-0.07928953319787979,
0.09496691077947617,
0.038822323083877563,
-0.06406451761722565,
-0.008665215224027634,
-0.009562565945088863,
-0.0243452787399292,
0.08307470381259918,
-0.0762992650270462,
0.04454216733574867,
-0.010885440744459629,
-0.08416584134101868,
-0.007872732356190681,
0.02140287309885025,
0.028632408007979393,
-0.01588798686861992,
-0.09613574296236038,
0.009691024199128151,
0.011470049619674683,
-0.003042809199541807,
2.0981365607048393e-33,
0.004251826088875532,
0.0029951371252536774,
-0.08380625396966934,
-0.09130207449197769,
0.0074906484223902225,
-0.02992905303835869,
0.012092790566384792,
0.07321257889270782,
0.023346194997429848,
0.031546156853437424,
-0.11353111267089844,
-0.052605871111154556,
-0.030344484373927116,
0.0016125469701364636,
0.029526162892580032,
0.0265780221670866,
0.02979161962866783,
0.0532895028591156,
0.07017606496810913,
-0.06860475242137909,
-0.0499144047498703,
-0.048104774206876755,
0.040917880833148956,
-0.00027935157413594425,
0.011531932279467583,
0.02354435808956623,
-0.02623981051146984,
0.034757599234580994,
0.04357793927192688,
0.013523396104574203,
-0.003461082000285387,
-0.002258257009088993,
-0.0645202100276947,
-0.00943704228848219,
0.01688811369240284,
-0.01876148395240307,
-0.10387776046991348,
0.009696252644062042,
-0.03829725459218025,
-0.01528150774538517,
-0.12304703891277313,
0.04413008689880371,
-0.1118556410074234,
-0.000890460389200598,
-0.04085218161344528,
-0.00553968595340848,
-0.03292801231145859,
-0.028504231944680214,
-0.03321041911840439,
-0.09520506858825684,
-0.004236774519085884,
-0.019598742946982384,
0.03198779746890068,
-0.028734901919960976,
0.0036603340413421392,
-0.014730012975633144,
0.02303796447813511,
-0.01468950230628252,
-0.0006423470331355929,
0.07444170862436295,
0.0427277609705925,
-0.04216793179512024,
-0.047953858971595764,
-0.06324344128370285,
0.027637019753456116,
-0.020782848820090294,
0.04290495812892914,
0.036364421248435974,
-0.024197382852435112,
-0.011889016255736351,
0.040183018893003464,
-0.01094859093427658,
0.03783746436238289,
0.03568702191114426,
-0.047017790377140045,
-0.012857945635914803,
0.058936707675457,
-0.032642874866724014,
-0.013180507346987724,
0.04471801966428757,
-0.02935469150543213,
0.02168608456850052,
0.09567637741565704,
-0.06250275671482086,
-0.03690648823976517,
0.03966597840189934,
-0.007191305048763752,
-0.02426650933921337,
-0.015767965465784073,
0.054794665426015854,
-0.09797216951847076,
-0.029334763064980507,
-0.011425201781094074,
-0.010774623602628708,
-0.014934239909052849,
-4.368953608887457e-33,
-0.14021538197994232,
0.07090514153242111,
-0.07894273847341537,
0.015444247983396053,
-0.03651867434382439,
-0.03597291186451912,
-0.023352229967713356,
0.06247484311461449,
0.05911474674940109,
0.04030107706785202,
-0.10479027032852173,
0.03659389540553093,
0.09006331861019135,
-0.0801374688744545,
0.028045251965522766,
-0.055116746574640274,
-0.0672883540391922,
0.03863869607448578,
-0.07058873772621155,
-0.051592450588941574,
-0.07037924975156784,
0.11416380107402802,
-0.12296682596206665,
-0.08133436739444733,
0.004230943042784929,
-0.024219904094934464,
-0.07368403673171997,
0.07607760280370712,
-0.010827956721186638,
-0.023248253390192986,
-0.000659052049741149,
-0.045884519815444946,
0.0515509732067585,
-0.08465779572725296,
0.018111543729901314,
0.020705562084913254,
0.11992105096578598,
0.04210042208433151,
0.02110174298286438,
-0.014261003583669662,
0.006054012570530176,
0.0422227568924427,
0.022641757503151894,
-0.05180707946419716,
0.0033533829264342785,
-0.018748382106423378,
-0.018258390948176384,
0.08955968171358109,
0.06215255707502365,
-0.016184121370315552,
0.0343150869011879,
-0.00007596515206387267,
0.04676001891493797,
0.06577378511428833,
0.02540290355682373,
0.004941163118928671,
0.012327924370765686,
-0.016856465488672256,
0.06506838649511337,
0.052770279347896576,
-0.02804989367723465,
-0.09018930047750473,
0.008227698504924774,
0.06352701038122177,
0.060541607439517975,
0.0033587391953915358,
-0.0031853748951107264,
-0.008484238758683205,
-0.005380740389227867,
0.02944762073457241,
0.03183707222342491,
0.01993729919195175,
-0.05985946208238602,
0.06426270306110382,
-0.00011059657845180482,
-0.15322256088256836,
0.01886858232319355,
0.004232995677739382,
-0.03859749436378479,
0.05767570436000824,
0.0005852058529853821,
0.0589701347053051,
-0.09011345356702805,
-0.0012893860694020987,
0.0696064829826355,
-0.002243122085928917,
-0.0163669902831316,
-0.07186571508646011,
0.054292235523462296,
0.03425069525837898,
0.001690596342086792,
0.029028885066509247,
-0.12594841420650482,
0.06181979179382324,
-0.061134397983551025,
-4.25756709887537e-8,
0.03779245913028717,
0.005397549364715815,
0.08617258071899414,
-0.02240784280002117,
0.04224354773759842,
0.10749904066324234,
-0.05569303035736084,
-0.020474443212151527,
-0.03336813300848007,
-0.10006633400917053,
0.05746950954198837,
0.08292581886053085,
0.008722816593945026,
-0.06110003963112831,
-0.023489611223340034,
-0.05130070447921753,
-0.05541867017745972,
-0.06858830153942108,
-0.04303637146949768,
-0.051158491522073746,
0.05425801873207092,
-0.03224632889032364,
-0.07110270112752914,
-0.06455375999212265,
0.07816380262374878,
-0.02193601243197918,
-0.011606229469180107,
0.015393099747598171,
-0.04535048454999924,
0.061763085424900055,
-0.05680986866354942,
0.0019292280776426196,
-0.01764344982802868,
-0.08399918675422668,
0.04487190768122673,
0.18145087361335754,
-0.04348333925008774,
-0.026716209948062897,
-0.005001542624086142,
0.04392838105559349,
0.0020184069871902466,
-0.05068018287420273,
0.12965038418769836,
0.042462144047021866,
0.029427997767925262,
-0.07404325902462006,
-0.05100104957818985,
0.021321838721632957,
0.04799262434244156,
-0.007990892045199871,
0.02844826877117157,
-0.04723097383975983,
0.048150863498449326,
0.06605683267116547,
0.026582123711705208,
-0.05729883164167404,
-0.013925263658165932,
-0.13045169413089752,
0.02184545062482357,
0.10144324600696564,
0.06543135643005371,
0.030956575646996498,
-0.015746183693408966,
0.03694251924753189
] | null | null | null | null | null | null | null |
[
-0.03156951814889908,
-0.007885131053626537,
0.050620999187231064,
-0.04546639323234558,
0.007446090690791607,
0.023860715329647064,
0.0919571965932846,
0.004047498572617769,
0.018420115113258362,
-0.001578360446728766,
-0.032761603593826294,
0.010396650061011314,
0.022115902975201607,
-0.042708974331617355,
0.006232557352632284,
0.009539772756397724,
0.107233926653862,
0.04932582378387451,
-0.001382337766699493,
-0.02240959368646145,
0.002120435470715165,
0.028244856745004654,
-0.004833366256207228,
0.008557477034628391,
-0.07707346975803375,
0.014647332020103931,
-0.0032514852937310934,
-0.007320862263441086,
-0.0323578417301178,
0.016613613814115524,
0.07228782773017883,
0.0032021792139858007,
-0.0946984738111496,
0.03136063367128372,
-0.08104819804430008,
-0.05782034620642662,
0.0018797136144712567,
0.05693082883954048,
0.018501630052924156,
0.00043051756802015007,
0.025122132152318954,
-0.06397315114736557,
0.019673535600304604,
0.044249098747968674,
-0.026004228740930557,
-0.008713616989552975,
-0.03977682814002037,
0.04310940206050873,
0.04290967062115669,
-0.04293549805879593,
0.1048460602760315,
0.045213811099529266,
0.03688422963023186,
0.02067764289677143,
-0.02264726348221302,
-0.06035473570227623,
-0.025871828198432922,
0.03808649629354477,
0.0008607292547821999,
0.03205146640539169,
-0.033734727650880814,
0.0005859822849743068,
0.0008916457882151008,
0.053241971880197525,
-0.031747590750455856,
0.016169313341379166,
0.02239404246211052,
0.07316670566797256,
0.04106321185827255,
0.04842136427760124,
-0.020972127094864845,
0.09583864361047745,
-0.06075011193752289,
0.04755433276295662,
-0.014467348344624043,
-0.0031579872593283653,
0.01805827021598816,
-0.03602363169193268,
-0.026565231382846832,
-0.03860054910182953,
0.007372355088591576,
-0.002779234666377306,
0.03906115144491196,
0.03766537085175514,
-0.033407703042030334,
0.04216324910521507,
-0.003566259052604437,
-0.019078457728028297,
0.030040938407182693,
0.01971297338604927,
-0.022617530077695847,
0.06691814959049225,
0.08220244944095612,
0.05918683484196663,
0.1162460595369339,
0.07834087312221527,
-0.07309164106845856,
-0.06150278449058533,
0.020807260647416115,
0.051042307168245316,
-0.0076968674547970295,
-0.04195025935769081,
-0.02790137007832527,
-0.05471397563815117,
0.11197460442781448,
0.007642809301614761,
0.028731023892760277,
-0.07928953319787979,
0.09496691077947617,
0.038822323083877563,
-0.06406451761722565,
-0.008665215224027634,
-0.009562565945088863,
-0.0243452787399292,
0.08307470381259918,
-0.0762992650270462,
0.04454216733574867,
-0.010885440744459629,
-0.08416584134101868,
-0.007872732356190681,
0.02140287309885025,
0.028632408007979393,
-0.01588798686861992,
-0.09613574296236038,
0.009691024199128151,
0.011470049619674683,
-0.003042809199541807,
2.0981365607048393e-33,
0.004251826088875532,
0.0029951371252536774,
-0.08380625396966934,
-0.09130207449197769,
0.0074906484223902225,
-0.02992905303835869,
0.012092790566384792,
0.07321257889270782,
0.023346194997429848,
0.031546156853437424,
-0.11353111267089844,
-0.052605871111154556,
-0.030344484373927116,
0.0016125469701364636,
0.029526162892580032,
0.0265780221670866,
0.02979161962866783,
0.0532895028591156,
0.07017606496810913,
-0.06860475242137909,
-0.0499144047498703,
-0.048104774206876755,
0.040917880833148956,
-0.00027935157413594425,
0.011531932279467583,
0.02354435808956623,
-0.02623981051146984,
0.034757599234580994,
0.04357793927192688,
0.013523396104574203,
-0.003461082000285387,
-0.002258257009088993,
-0.0645202100276947,
-0.00943704228848219,
0.01688811369240284,
-0.01876148395240307,
-0.10387776046991348,
0.009696252644062042,
-0.03829725459218025,
-0.01528150774538517,
-0.12304703891277313,
0.04413008689880371,
-0.1118556410074234,
-0.000890460389200598,
-0.04085218161344528,
-0.00553968595340848,
-0.03292801231145859,
-0.028504231944680214,
-0.03321041911840439,
-0.09520506858825684,
-0.004236774519085884,
-0.019598742946982384,
0.03198779746890068,
-0.028734901919960976,
0.0036603340413421392,
-0.014730012975633144,
0.02303796447813511,
-0.01468950230628252,
-0.0006423470331355929,
0.07444170862436295,
0.0427277609705925,
-0.04216793179512024,
-0.047953858971595764,
-0.06324344128370285,
0.027637019753456116,
-0.020782848820090294,
0.04290495812892914,
0.036364421248435974,
-0.024197382852435112,
-0.011889016255736351,
0.040183018893003464,
-0.01094859093427658,
0.03783746436238289,
0.03568702191114426,
-0.047017790377140045,
-0.012857945635914803,
0.058936707675457,
-0.032642874866724014,
-0.013180507346987724,
0.04471801966428757,
-0.02935469150543213,
0.02168608456850052,
0.09567637741565704,
-0.06250275671482086,
-0.03690648823976517,
0.03966597840189934,
-0.007191305048763752,
-0.02426650933921337,
-0.015767965465784073,
0.054794665426015854,
-0.09797216951847076,
-0.029334763064980507,
-0.011425201781094074,
-0.010774623602628708,
-0.014934239909052849,
-4.368953608887457e-33,
-0.14021538197994232,
0.07090514153242111,
-0.07894273847341537,
0.015444247983396053,
-0.03651867434382439,
-0.03597291186451912,
-0.023352229967713356,
0.06247484311461449,
0.05911474674940109,
0.04030107706785202,
-0.10479027032852173,
0.03659389540553093,
0.09006331861019135,
-0.0801374688744545,
0.028045251965522766,
-0.055116746574640274,
-0.0672883540391922,
0.03863869607448578,
-0.07058873772621155,
-0.051592450588941574,
-0.07037924975156784,
0.11416380107402802,
-0.12296682596206665,
-0.08133436739444733,
0.004230943042784929,
-0.024219904094934464,
-0.07368403673171997,
0.07607760280370712,
-0.010827956721186638,
-0.023248253390192986,
-0.000659052049741149,
-0.045884519815444946,
0.0515509732067585,
-0.08465779572725296,
0.018111543729901314,
0.020705562084913254,
0.11992105096578598,
0.04210042208433151,
0.02110174298286438,
-0.014261003583669662,
0.006054012570530176,
0.0422227568924427,
0.022641757503151894,
-0.05180707946419716,
0.0033533829264342785,
-0.018748382106423378,
-0.018258390948176384,
0.08955968171358109,
0.06215255707502365,
-0.016184121370315552,
0.0343150869011879,
-0.00007596515206387267,
0.04676001891493797,
0.06577378511428833,
0.02540290355682373,
0.004941163118928671,
0.012327924370765686,
-0.016856465488672256,
0.06506838649511337,
0.052770279347896576,
-0.02804989367723465,
-0.09018930047750473,
0.008227698504924774,
0.06352701038122177,
0.060541607439517975,
0.0033587391953915358,
-0.0031853748951107264,
-0.008484238758683205,
-0.005380740389227867,
0.02944762073457241,
0.03183707222342491,
0.01993729919195175,
-0.05985946208238602,
0.06426270306110382,
-0.00011059657845180482,
-0.15322256088256836,
0.01886858232319355,
0.004232995677739382,
-0.03859749436378479,
0.05767570436000824,
0.0005852058529853821,
0.0589701347053051,
-0.09011345356702805,
-0.0012893860694020987,
0.0696064829826355,
-0.002243122085928917,
-0.0163669902831316,
-0.07186571508646011,
0.054292235523462296,
0.03425069525837898,
0.001690596342086792,
0.029028885066509247,
-0.12594841420650482,
0.06181979179382324,
-0.061134397983551025,
-4.25756709887537e-8,
0.03779245913028717,
0.005397549364715815,
0.08617258071899414,
-0.02240784280002117,
0.04224354773759842,
0.10749904066324234,
-0.05569303035736084,
-0.020474443212151527,
-0.03336813300848007,
-0.10006633400917053,
0.05746950954198837,
0.08292581886053085,
0.008722816593945026,
-0.06110003963112831,
-0.023489611223340034,
-0.05130070447921753,
-0.05541867017745972,
-0.06858830153942108,
-0.04303637146949768,
-0.051158491522073746,
0.05425801873207092,
-0.03224632889032364,
-0.07110270112752914,
-0.06455375999212265,
0.07816380262374878,
-0.02193601243197918,
-0.011606229469180107,
0.015393099747598171,
-0.04535048454999924,
0.061763085424900055,
-0.05680986866354942,
0.0019292280776426196,
-0.01764344982802868,
-0.08399918675422668,
0.04487190768122673,
0.18145087361335754,
-0.04348333925008774,
-0.026716209948062897,
-0.005001542624086142,
0.04392838105559349,
0.0020184069871902466,
-0.05068018287420273,
0.12965038418769836,
0.042462144047021866,
0.029427997767925262,
-0.07404325902462006,
-0.05100104957818985,
0.021321838721632957,
0.04799262434244156,
-0.007990892045199871,
0.02844826877117157,
-0.04723097383975983,
0.048150863498449326,
0.06605683267116547,
0.026582123711705208,
-0.05729883164167404,
-0.013925263658165932,
-0.13045169413089752,
0.02184545062482357,
0.10144324600696564,
0.06543135643005371,
0.030956575646996498,
-0.015746183693408966,
0.03694251924753189
] |
1401.6318
|
Pat O'Mahony
|
Ana Laura Frapiccini, Aliou Hamido, Sebastian Schr\"oter, Dean Pyke,
Francisca Mota-Furtado, Patrick F. O'Mahony, Javier Madro\~nero, Johannes
Eiglsperger and Bernard Piraux
|
Explicit schemes for time propagating many-body wavefunctions
|
24 pages, 14 Figures
|
Physical Review A, 89, 023418 (2014)
|
10.1103/PhysRevA.89.023418
| null |
physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Accurate theoretical data on many time-dependent processes in atomic and
molecular physics and in chemistry require the direct numerical solution of the
time-dependent Schr\"odinger equation, thereby motivating the development of
very efficient time propagators. These usually involve the solution of very
large systems of first order differential equations that are characterized by a
high degree of stiffness. We analyze and compare the performance of the
explicit one-step algorithms of Fatunla and Arnoldi. Both algorithms have
exactly the same stability function, therefore sharing the same stability
properties that turn out to be optimum. Their respective accuracy however
differs significantly and depends on the physical situation involved. In order
to test this accuracy, we use a predictor-corrector scheme in which the
predictor is either Fatunla's or Arnoldi's algorithm and the corrector, a fully
implicit four-stage Radau IIA method of order 7. We consider two physical
processes. The first one is the ionization of an atomic system by a short and
intense electromagnetic pulse; the atomic systems include a one-dimensional
Gaussian model potential as well as atomic hydrogen and helium, both in full
dimensionality. The second process is the decoherence of two-electron quantum
states when a time independent perturbation is applied to a planar two-electron
quantum dot where both electrons are confined in an anharmonic potential. Even
though the Hamiltonian of this system is time independent the corresponding
differential equation shows a striking stiffness. For the one-dimensional
Gaussian potential we discuss in detail the possibility of monitoring the time
step for both explicit algorithms. In the other physical situations that are
much more demanding in term of computations, we show that the accuracy of both
algorithms depends strongly on the degree of stiffness of the problem.
|
[
{
"created": "Fri, 24 Jan 2014 11:44:31 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Frapiccini",
"Ana Laura",
""
],
[
"Hamido",
"Aliou",
""
],
[
"Schröter",
"Sebastian",
""
],
[
"Pyke",
"Dean",
""
],
[
"Mota-Furtado",
"Francisca",
""
],
[
"O'Mahony",
"Patrick F.",
""
],
[
"Madroñero",
"Javier",
""
],
[
"Eiglsperger",
"Johannes",
""
],
[
"Piraux",
"Bernard",
""
]
] |
[
-0.12617212533950806,
0.0162790659815073,
-0.030777068808674812,
0.054049406200647354,
-0.0015884554013609886,
-0.02510722354054451,
-0.08383993059396744,
0.006408680696040392,
-0.017453182488679886,
0.022244853898882866,
0.02378830313682556,
-0.03252318128943443,
-0.02296455018222332,
0.0000963553466135636,
-0.005619658622890711,
-0.07356380671262741,
-0.01167845819145441,
0.010037748143076897,
-0.054036419838666916,
-0.03847351670265198,
-0.0026075539644807577,
0.03937553986907005,
-0.03784124553203583,
-0.016248440369963646,
0.10125307738780975,
-0.022366084158420563,
0.025554446503520012,
-0.002284215297549963,
0.011757580563426018,
0.009826716035604477,
0.1446026712656021,
-0.04835839569568634,
-0.07621964067220688,
-0.02347899228334427,
-0.09927833080291748,
-0.001980682136490941,
0.029401781037449837,
-0.004568636883050203,
-0.04429123178124428,
0.019751541316509247,
0.018471088260412216,
0.062251411378383636,
-0.038346484303474426,
-0.009453625418245792,
0.02183891460299492,
-0.039055198431015015,
0.08080632239580154,
-0.050390616059303284,
-0.036811329424381256,
-0.02738414704799652,
0.01901623234152794,
0.08462989330291748,
0.03794432803988457,
-0.02013971656560898,
-0.012435982935130596,
-0.035735223442316055,
0.07546374201774597,
-0.019137173891067505,
0.017837319523096085,
-0.017645440995693207,
0.01021027471870184,
-0.08576149493455887,
-0.0029769581742584705,
-0.008499649353325367,
0.043668054044246674,
-0.038603685796260834,
0.036750540137290955,
-0.05380093306303024,
-0.008086057379841805,
0.03987680375576019,
-0.06590444594621658,
0.019378669559955597,
-0.009097769856452942,
-0.002162192016839981,
0.005657270085066557,
-0.04564773291349411,
0.05857199802994728,
0.08115335553884506,
-0.007748103700578213,
-0.01746351644396782,
0.003366871038451791,
-0.031998518854379654,
-0.02420467510819435,
-0.10402001440525055,
0.07032011449337006,
0.06581839174032211,
-0.01147306989878416,
0.02387710101902485,
0.042020976543426514,
0.005443792790174484,
0.06151252239942551,
-0.038014158606529236,
0.03293834999203682,
-0.07181283086538315,
0.03923238441348076,
0.04849466681480408,
0.08608510345220566,
-0.0018737027421593666,
0.007433767896145582,
0.07804477959871292,
0.024939611554145813,
0.014486370608210564,
-0.03622518107295036,
0.010227536782622337,
0.037349455058574677,
-0.044897451996803284,
0.03760962188243866,
0.08411253988742828,
-0.042513661086559296,
0.06797689944505692,
0.06252890825271606,
-0.040829818695783615,
-0.017917143180966377,
0.06677275896072388,
0.05304499715566635,
0.04092874005436897,
0.013532334938645363,
0.02349873259663582,
0.0587373748421669,
-0.03287665545940399,
-0.05619306489825249,
-0.03575162962079048,
0.07621665298938751,
0.0119990399107337,
0.05110242962837219,
-0.028670597821474075,
-0.13185377418994904,
1.4682216478648153e-33,
-0.011004245840013027,
0.03979931399226189,
0.0136982137337327,
0.013208209536969662,
-0.016456319019198418,
-0.08102437853813171,
-0.010031872428953648,
0.014151360839605331,
-0.04535491392016411,
0.014046992175281048,
0.012421405874192715,
-0.04219241812825203,
0.006339146289974451,
-0.04588915407657623,
-0.007713492959737778,
0.04032682627439499,
-0.02497546561062336,
0.05926550552248955,
0.008930686861276627,
-0.00518993753939867,
0.12425316870212555,
-0.06725220382213593,
0.029310964047908783,
-0.04677850008010864,
-0.04140876233577728,
0.04737398400902748,
0.08876152336597443,
-0.0005334961460903287,
-0.011178679764270782,
0.016755839809775352,
-0.018973158672451973,
0.019337311387062073,
-0.05794836953282356,
-0.04075205326080322,
0.08889342844486237,
-0.07738258689641953,
-0.01284118928015232,
0.023336278274655342,
0.01656457595527172,
-0.06450290977954865,
-0.0591542087495327,
-0.014811456203460693,
0.022720610722899437,
0.04680787771940231,
0.053715016692876816,
0.017131175845861435,
-0.022775234654545784,
-0.026909878477454185,
0.016528084874153137,
0.015621443279087543,
-0.05986590310931206,
-0.0037814555689692497,
-0.014028320088982582,
0.031572673469781876,
-0.002377405297011137,
-0.013320581056177616,
0.0844372883439064,
-0.03143788501620293,
-0.0071192532777786255,
0.06371670961380005,
-0.012332127429544926,
0.06281787902116776,
-0.05002209171652794,
0.006205446552485228,
-0.05435730889439583,
0.027765365317463875,
-0.06690379232168198,
-0.036198172718286514,
0.021602479740977287,
0.03689557686448097,
0.004805783275514841,
0.07049457728862762,
0.11124663054943085,
-0.052588675171136856,
0.0964764654636383,
-0.06598065793514252,
0.07918471843004227,
-0.010873593389987946,
-0.039455611258745193,
0.006177602335810661,
-0.006168894935399294,
-0.018817033618688583,
-0.02514473907649517,
0.09625725448131561,
-0.05314230918884277,
-0.16667267680168152,
-0.08129668980836868,
-0.012650150805711746,
-0.03246356546878815,
-0.035156235098838806,
-0.023538030683994293,
0.009126394055783749,
0.08020669966936111,
-0.03588811680674553,
-0.09374836832284927,
-3.3074704551514234e-33,
0.025189489126205444,
0.021926648914813995,
0.07973337918519974,
0.064616858959198,
0.027742968872189522,
-0.027471451088786125,
-0.13622282445430756,
0.03929703310132027,
0.0264002475887537,
-0.09010602533817291,
0.09002529829740524,
0.006961788050830364,
-0.013200431130826473,
0.03885170444846153,
0.0933980643749237,
0.04530765116214752,
0.06038972735404968,
-0.013005645014345646,
0.06692315638065338,
-0.0020478232763707638,
0.024258283898234367,
-0.02081192657351494,
0.015976574271917343,
-0.03783228620886803,
0.041759658604860306,
-0.04618802294135094,
0.06908614933490753,
0.03239908441901207,
-0.043662525713443756,
0.002426801947876811,
-0.08106589317321777,
-0.017706798389554024,
-0.058572448790073395,
-0.01838729716837406,
-0.11738795787096024,
0.04988047480583191,
-0.06920414417982101,
0.05101988837122917,
0.023947659879922867,
0.0268787182867527,
0.04580266773700714,
0.004025298170745373,
-0.06371952593326569,
-0.01646372489631176,
0.02767457254230976,
0.0357092060148716,
-0.057357680052518845,
0.09547551721334457,
-0.0004798463196493685,
-0.0023154444061219692,
0.011814477853477001,
-0.04970395192503929,
0.010916659608483315,
0.019435416907072067,
0.03322065994143486,
0.07122870534658432,
-0.011028819717466831,
0.05203862488269806,
0.024362800642848015,
0.06058561056852341,
-0.05446334183216095,
-0.026104796677827835,
0.10565660148859024,
0.015900082886219025,
-0.04501968249678612,
-0.06877534091472626,
-0.06465635448694229,
-0.027515582740306854,
0.009741444140672684,
-0.0313117690384388,
-0.027874944731593132,
-0.048425618559122086,
0.019838113337755203,
0.08130092173814774,
-0.005134750157594681,
-0.08698704838752747,
0.059008270502090454,
-0.10974650084972382,
-0.02971799485385418,
-0.04155828058719635,
-0.025469809770584106,
0.0594196617603302,
-0.02217027358710766,
-0.07497125118970871,
0.0009533029515296221,
0.0521804504096508,
0.09674375504255295,
-0.0071029700338840485,
0.04752486199140549,
-0.09969712048768997,
0.0019997223280370235,
0.11695793271064758,
0.044287554919719696,
-0.013221432454884052,
-0.018872054293751717,
-5.222238996793749e-8,
0.040988270193338394,
-0.06874893605709076,
-0.008723018690943718,
-0.029785331338644028,
0.03614358976483345,
0.05673955753445625,
-0.03542228043079376,
-0.06186360493302345,
0.08244773000478745,
-0.09180905669927597,
0.06979743391275406,
0.018048591911792755,
-0.015492619946599007,
-0.05930290371179581,
-0.004529641941189766,
0.07142623513936996,
-0.057671334594488144,
-0.07267537713050842,
-0.05467285215854645,
-0.012277556583285332,
0.019574102014303207,
0.003688879543915391,
0.028750630095601082,
-0.06035652756690979,
0.0052240206860005856,
-0.046881090849637985,
-0.04357534646987915,
0.00839946512132883,
-0.023003263399004936,
-0.005138840060681105,
-0.043846286833286285,
0.006382640916854143,
0.03241421654820442,
0.14573578536510468,
-0.004402142949402332,
-0.03274768590927124,
0.023015109822154045,
0.04207203909754753,
0.020136741921305656,
0.0300841573625803,
0.006788765545934439,
0.11970741301774979,
-0.07979144155979156,
0.04079669713973999,
0.057685188949108124,
0.09764448553323746,
-0.03955071419477463,
-0.05080460384488106,
0.04765673354268074,
0.038144610822200775,
-0.05753703787922859,
0.09706705063581467,
-0.014264591969549656,
-0.08557726442813873,
0.01587110571563244,
-0.0087707145139575,
-0.11394275724887848,
-0.10933991521596909,
0.007552578579634428,
0.011396532878279686,
0.08775373548269272,
-0.02457525208592415,
-0.03997482731938362,
0.031708914786577225
] | null | null | null | null | null | null | null |
[
-0.12617212533950806,
0.0162790659815073,
-0.030777068808674812,
0.054049406200647354,
-0.0015884554013609886,
-0.02510722354054451,
-0.08383993059396744,
0.006408680696040392,
-0.017453182488679886,
0.022244853898882866,
0.02378830313682556,
-0.03252318128943443,
-0.02296455018222332,
0.0000963553466135636,
-0.005619658622890711,
-0.07356380671262741,
-0.01167845819145441,
0.010037748143076897,
-0.054036419838666916,
-0.03847351670265198,
-0.0026075539644807577,
0.03937553986907005,
-0.03784124553203583,
-0.016248440369963646,
0.10125307738780975,
-0.022366084158420563,
0.025554446503520012,
-0.002284215297549963,
0.011757580563426018,
0.009826716035604477,
0.1446026712656021,
-0.04835839569568634,
-0.07621964067220688,
-0.02347899228334427,
-0.09927833080291748,
-0.001980682136490941,
0.029401781037449837,
-0.004568636883050203,
-0.04429123178124428,
0.019751541316509247,
0.018471088260412216,
0.062251411378383636,
-0.038346484303474426,
-0.009453625418245792,
0.02183891460299492,
-0.039055198431015015,
0.08080632239580154,
-0.050390616059303284,
-0.036811329424381256,
-0.02738414704799652,
0.01901623234152794,
0.08462989330291748,
0.03794432803988457,
-0.02013971656560898,
-0.012435982935130596,
-0.035735223442316055,
0.07546374201774597,
-0.019137173891067505,
0.017837319523096085,
-0.017645440995693207,
0.01021027471870184,
-0.08576149493455887,
-0.0029769581742584705,
-0.008499649353325367,
0.043668054044246674,
-0.038603685796260834,
0.036750540137290955,
-0.05380093306303024,
-0.008086057379841805,
0.03987680375576019,
-0.06590444594621658,
0.019378669559955597,
-0.009097769856452942,
-0.002162192016839981,
0.005657270085066557,
-0.04564773291349411,
0.05857199802994728,
0.08115335553884506,
-0.007748103700578213,
-0.01746351644396782,
0.003366871038451791,
-0.031998518854379654,
-0.02420467510819435,
-0.10402001440525055,
0.07032011449337006,
0.06581839174032211,
-0.01147306989878416,
0.02387710101902485,
0.042020976543426514,
0.005443792790174484,
0.06151252239942551,
-0.038014158606529236,
0.03293834999203682,
-0.07181283086538315,
0.03923238441348076,
0.04849466681480408,
0.08608510345220566,
-0.0018737027421593666,
0.007433767896145582,
0.07804477959871292,
0.024939611554145813,
0.014486370608210564,
-0.03622518107295036,
0.010227536782622337,
0.037349455058574677,
-0.044897451996803284,
0.03760962188243866,
0.08411253988742828,
-0.042513661086559296,
0.06797689944505692,
0.06252890825271606,
-0.040829818695783615,
-0.017917143180966377,
0.06677275896072388,
0.05304499715566635,
0.04092874005436897,
0.013532334938645363,
0.02349873259663582,
0.0587373748421669,
-0.03287665545940399,
-0.05619306489825249,
-0.03575162962079048,
0.07621665298938751,
0.0119990399107337,
0.05110242962837219,
-0.028670597821474075,
-0.13185377418994904,
1.4682216478648153e-33,
-0.011004245840013027,
0.03979931399226189,
0.0136982137337327,
0.013208209536969662,
-0.016456319019198418,
-0.08102437853813171,
-0.010031872428953648,
0.014151360839605331,
-0.04535491392016411,
0.014046992175281048,
0.012421405874192715,
-0.04219241812825203,
0.006339146289974451,
-0.04588915407657623,
-0.007713492959737778,
0.04032682627439499,
-0.02497546561062336,
0.05926550552248955,
0.008930686861276627,
-0.00518993753939867,
0.12425316870212555,
-0.06725220382213593,
0.029310964047908783,
-0.04677850008010864,
-0.04140876233577728,
0.04737398400902748,
0.08876152336597443,
-0.0005334961460903287,
-0.011178679764270782,
0.016755839809775352,
-0.018973158672451973,
0.019337311387062073,
-0.05794836953282356,
-0.04075205326080322,
0.08889342844486237,
-0.07738258689641953,
-0.01284118928015232,
0.023336278274655342,
0.01656457595527172,
-0.06450290977954865,
-0.0591542087495327,
-0.014811456203460693,
0.022720610722899437,
0.04680787771940231,
0.053715016692876816,
0.017131175845861435,
-0.022775234654545784,
-0.026909878477454185,
0.016528084874153137,
0.015621443279087543,
-0.05986590310931206,
-0.0037814555689692497,
-0.014028320088982582,
0.031572673469781876,
-0.002377405297011137,
-0.013320581056177616,
0.0844372883439064,
-0.03143788501620293,
-0.0071192532777786255,
0.06371670961380005,
-0.012332127429544926,
0.06281787902116776,
-0.05002209171652794,
0.006205446552485228,
-0.05435730889439583,
0.027765365317463875,
-0.06690379232168198,
-0.036198172718286514,
0.021602479740977287,
0.03689557686448097,
0.004805783275514841,
0.07049457728862762,
0.11124663054943085,
-0.052588675171136856,
0.0964764654636383,
-0.06598065793514252,
0.07918471843004227,
-0.010873593389987946,
-0.039455611258745193,
0.006177602335810661,
-0.006168894935399294,
-0.018817033618688583,
-0.02514473907649517,
0.09625725448131561,
-0.05314230918884277,
-0.16667267680168152,
-0.08129668980836868,
-0.012650150805711746,
-0.03246356546878815,
-0.035156235098838806,
-0.023538030683994293,
0.009126394055783749,
0.08020669966936111,
-0.03588811680674553,
-0.09374836832284927,
-3.3074704551514234e-33,
0.025189489126205444,
0.021926648914813995,
0.07973337918519974,
0.064616858959198,
0.027742968872189522,
-0.027471451088786125,
-0.13622282445430756,
0.03929703310132027,
0.0264002475887537,
-0.09010602533817291,
0.09002529829740524,
0.006961788050830364,
-0.013200431130826473,
0.03885170444846153,
0.0933980643749237,
0.04530765116214752,
0.06038972735404968,
-0.013005645014345646,
0.06692315638065338,
-0.0020478232763707638,
0.024258283898234367,
-0.02081192657351494,
0.015976574271917343,
-0.03783228620886803,
0.041759658604860306,
-0.04618802294135094,
0.06908614933490753,
0.03239908441901207,
-0.043662525713443756,
0.002426801947876811,
-0.08106589317321777,
-0.017706798389554024,
-0.058572448790073395,
-0.01838729716837406,
-0.11738795787096024,
0.04988047480583191,
-0.06920414417982101,
0.05101988837122917,
0.023947659879922867,
0.0268787182867527,
0.04580266773700714,
0.004025298170745373,
-0.06371952593326569,
-0.01646372489631176,
0.02767457254230976,
0.0357092060148716,
-0.057357680052518845,
0.09547551721334457,
-0.0004798463196493685,
-0.0023154444061219692,
0.011814477853477001,
-0.04970395192503929,
0.010916659608483315,
0.019435416907072067,
0.03322065994143486,
0.07122870534658432,
-0.011028819717466831,
0.05203862488269806,
0.024362800642848015,
0.06058561056852341,
-0.05446334183216095,
-0.026104796677827835,
0.10565660148859024,
0.015900082886219025,
-0.04501968249678612,
-0.06877534091472626,
-0.06465635448694229,
-0.027515582740306854,
0.009741444140672684,
-0.0313117690384388,
-0.027874944731593132,
-0.048425618559122086,
0.019838113337755203,
0.08130092173814774,
-0.005134750157594681,
-0.08698704838752747,
0.059008270502090454,
-0.10974650084972382,
-0.02971799485385418,
-0.04155828058719635,
-0.025469809770584106,
0.0594196617603302,
-0.02217027358710766,
-0.07497125118970871,
0.0009533029515296221,
0.0521804504096508,
0.09674375504255295,
-0.0071029700338840485,
0.04752486199140549,
-0.09969712048768997,
0.0019997223280370235,
0.11695793271064758,
0.044287554919719696,
-0.013221432454884052,
-0.018872054293751717,
-5.222238996793749e-8,
0.040988270193338394,
-0.06874893605709076,
-0.008723018690943718,
-0.029785331338644028,
0.03614358976483345,
0.05673955753445625,
-0.03542228043079376,
-0.06186360493302345,
0.08244773000478745,
-0.09180905669927597,
0.06979743391275406,
0.018048591911792755,
-0.015492619946599007,
-0.05930290371179581,
-0.004529641941189766,
0.07142623513936996,
-0.057671334594488144,
-0.07267537713050842,
-0.05467285215854645,
-0.012277556583285332,
0.019574102014303207,
0.003688879543915391,
0.028750630095601082,
-0.06035652756690979,
0.0052240206860005856,
-0.046881090849637985,
-0.04357534646987915,
0.00839946512132883,
-0.023003263399004936,
-0.005138840060681105,
-0.043846286833286285,
0.006382640916854143,
0.03241421654820442,
0.14573578536510468,
-0.004402142949402332,
-0.03274768590927124,
0.023015109822154045,
0.04207203909754753,
0.020136741921305656,
0.0300841573625803,
0.006788765545934439,
0.11970741301774979,
-0.07979144155979156,
0.04079669713973999,
0.057685188949108124,
0.09764448553323746,
-0.03955071419477463,
-0.05080460384488106,
0.04765673354268074,
0.038144610822200775,
-0.05753703787922859,
0.09706705063581467,
-0.014264591969549656,
-0.08557726442813873,
0.01587110571563244,
-0.0087707145139575,
-0.11394275724887848,
-0.10933991521596909,
0.007552578579634428,
0.011396532878279686,
0.08775373548269272,
-0.02457525208592415,
-0.03997482731938362,
0.031708914786577225
] |
1401.6325
|
Jonathan Kochems
|
Jonathan Kochems, C-H Luke Ong
|
Safety verification of asynchronous pushdown systems with shaped stacks
| null | null | null | null |
cs.LO cs.FL cs.PL
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the program-point reachability problem of concurrent
pushdown systems that communicate via unbounded and unordered message buffers.
Our goal is to relax the common restriction that messages can only be retrieved
by a pushdown process when its stack is empty. We use the notion of partially
commutative context-free grammars to describe a new class of asynchronously
communicating pushdown systems with a mild shape constraint on the stacks for
which the program-point coverability problem remains decidable. Stacks that fit
the shape constraint may reach arbitrary heights; further a process may execute
any communication action (be it process creation, message send or retrieval)
whether or not its stack is empty. This class extends previous computational
models studied in the context of asynchronous programs, and enables the safety
verification of a large class of message passing programs.
|
[
{
"created": "Fri, 24 Jan 2014 12:26:27 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Kochems",
"Jonathan",
""
],
[
"Ong",
"C-H Luke",
""
]
] |
[
-0.00890983548015356,
-0.01714514195919037,
-0.029729511588811874,
-0.03258512169122696,
0.003311025444418192,
-0.04702656716108322,
0.0218746867030859,
0.023017888888716698,
0.014922020956873894,
-0.005179552361369133,
-0.02972421795129776,
0.004730040207505226,
0.029752308502793312,
-0.022264882922172546,
0.03519962355494499,
-0.010719374753534794,
0.10030825436115265,
-0.027526089921593666,
-0.04863632470369339,
0.02323591336607933,
-0.010829295963048935,
0.03583555296063423,
-0.0278505627065897,
0.05414903536438942,
-0.0722186416387558,
0.013071078807115555,
-0.09947342425584793,
-0.0868339091539383,
0.002305514644831419,
0.04197965934872627,
-0.03739102929830551,
-0.05468454211950302,
-0.0032411538995802402,
0.038788143545389175,
0.04822482168674469,
0.12041838467121124,
0.04781414195895195,
-0.08177299052476883,
-0.06807367503643036,
-0.0376044437289238,
-0.052806999534368515,
-0.021337399259209633,
-0.032771214842796326,
0.04349307715892792,
0.005069952458143234,
-0.051787301898002625,
-0.03327453136444092,
0.04846478998661041,
-0.10061272233724594,
-0.060021284967660904,
-0.02656037174165249,
-0.018818235024809837,
-0.007356470450758934,
0.03082292713224888,
0.042000845074653625,
0.029433129355311394,
0.02222456783056259,
0.015767589211463928,
-0.023516837507486343,
0.04741479456424713,
-0.02323753386735916,
-0.002369093708693981,
-0.03578541800379753,
0.0007296968251466751,
0.0035539495293051004,
0.04168714955449104,
0.00021159794414415956,
0.020702095702290535,
0.017041783779859543,
0.06855768710374832,
-0.044650569558143616,
-0.007814237847924232,
-0.09038326889276505,
0.05814296007156372,
-0.059141553938388824,
0.03477673977613449,
-0.019817929714918137,
-0.03223011642694473,
-0.08732173591852188,
-0.04712508246302605,
0.033108633011579514,
-0.015336854383349419,
-0.019831975921988487,
0.01989949680864811,
-0.0359077975153923,
0.003209527814760804,
-0.04020527005195618,
0.059768907725811005,
0.06024923920631409,
0.06207006424665451,
-0.04762867093086243,
-0.03637175261974335,
0.04543621838092804,
0.11723151057958603,
0.034193556755781174,
-0.02792760170996189,
0.012427509762346745,
-0.041060883551836014,
-0.06163819506764412,
0.048054538667201996,
0.006130292546004057,
0.06489965319633484,
0.07613358646631241,
-0.06288979202508926,
-0.00600802805274725,
0.017726512625813484,
-0.04772844538092613,
-0.04676320031285286,
-0.09249366819858551,
-0.04512494429945946,
0.04478942230343819,
-0.0037442741449922323,
0.0641087219119072,
0.05468665808439255,
0.011196532286703587,
-0.03524133190512657,
-0.003954424522817135,
-0.057823296636343,
0.0033796573989093304,
0.03934622183442116,
0.06319645047187805,
-0.038303568959236145,
0.016929620876908302,
-0.003876719856634736,
0.03707422688603401,
-0.06757554411888123,
0.0004471186257433146,
8.037341604701617e-34,
-0.032065704464912415,
0.04180146008729935,
-0.03134075179696083,
0.01768217608332634,
0.06602733582258224,
-0.016082774847745895,
0.0014097592793405056,
-0.03719275817275047,
-0.06756182760000229,
-0.0293154064565897,
0.04928501322865486,
-0.04374692961573601,
0.05940674990415573,
0.0058868443593382835,
0.09725610911846161,
-0.0647980272769928,
0.11063669621944427,
0.041218072175979614,
-0.024327082559466362,
-0.0426173210144043,
0.04812609404325485,
0.008650585077702999,
-0.10929007828235626,
-0.02898106537759304,
0.017872286960482597,
-0.050334446132183075,
-0.09871891885995865,
-0.04727407544851303,
0.014442602172493935,
0.018739942461252213,
-0.12107793241739273,
-0.025416161864995956,
0.012058500200510025,
0.09415630251169205,
0.009297104552388191,
0.020352667197585106,
-0.07714570313692093,
-0.0924123227596283,
0.010376573540270329,
-0.05995196849107742,
0.07205361127853394,
-0.03682564198970795,
-0.03468775376677513,
0.06144009158015251,
-0.014429560862481594,
-0.049066994339227676,
-0.09965113550424576,
0.05846504494547844,
-0.09912034869194031,
-0.09366270154714584,
0.06169119104743004,
0.08842363208532333,
-0.020077908411622047,
-0.02808099053800106,
0.0020582485012710094,
-0.01257811114192009,
-0.050885703414678574,
0.0631442666053772,
-0.008009620942175388,
0.17872965335845947,
-0.010297873988747597,
0.04036373272538185,
-0.01483452133834362,
-0.007176978047937155,
0.017506586387753487,
-0.01303678285330534,
-0.12278211116790771,
-0.06432107836008072,
0.06561975181102753,
0.03971286490559578,
-0.057252176105976105,
0.031665150076150894,
-0.013046563602983952,
0.11894849687814713,
0.019636360928416252,
0.019420724362134933,
0.012074874714016914,
-0.0752515196800232,
0.027367400005459785,
-0.03800030052661896,
0.009906760416924953,
-0.018715355545282364,
0.018418774008750916,
0.02956872247159481,
0.02851901389658451,
-0.05123358219861984,
-0.05305200442671776,
0.035206157714128494,
-0.07858307659626007,
0.003125200280919671,
-0.07049477100372314,
-0.058129943907260895,
0.06625504046678543,
0.00377554795704782,
0.014387676492333412,
-2.345153290547704e-33,
0.0004007940588053316,
-0.0282458383589983,
-0.09808080643415451,
0.05394934490323067,
-0.061778724193573,
-0.03110571578145027,
-0.023663988336920738,
-0.04678226262331009,
-0.09983368217945099,
-0.02677408792078495,
-0.10776735097169876,
0.032599207013845444,
0.06461601704359055,
0.02490423619747162,
0.07182177901268005,
-0.011631556786596775,
0.011532586999237537,
-0.054250460118055344,
-0.01032861229032278,
0.026513708755373955,
0.07456807047128677,
0.013258477672934532,
-0.07711620628833771,
0.04671024531126022,
-0.027466779574751854,
0.013144086115062237,
-0.08312330394983292,
0.011876929551362991,
0.0628259927034378,
0.013911956921219826,
-0.014621454291045666,
-0.06728018820285797,
-0.015406174585223198,
-0.05737514793872833,
-0.0019442421616986394,
-0.02807251363992691,
-0.00889219157397747,
0.02973819337785244,
0.021181603893637657,
-0.008010873571038246,
0.14799852669239044,
-0.07000128924846649,
-0.02426721341907978,
0.0463007315993309,
0.03257880359888077,
0.0227493979036808,
-0.09711705893278122,
0.035634595900774,
-0.01045425608754158,
-0.06298211216926575,
-0.010002941824495792,
-0.019552256911993027,
0.1343522071838379,
0.037369441241025925,
0.037143003195524216,
0.050254035741090775,
0.055687837302684784,
0.011185809038579464,
0.05873303860425949,
-0.05134338513016701,
0.009050237946212292,
-0.09917562454938889,
0.04324954003095627,
0.00755789689719677,
0.15189021825790405,
-0.03737497702240944,
0.02563312277197838,
-0.06685711443424225,
-0.033988602459430695,
-0.027881916612386703,
0.09040309488773346,
0.035260528326034546,
-0.07097563147544861,
0.017975173890590668,
0.04365384578704834,
0.05271023139357567,
-0.006607429590076208,
-0.02374216914176941,
-0.01439668983221054,
0.03618532419204712,
-0.015517950057983398,
0.0883130356669426,
0.013371989130973816,
0.08472665399312973,
0.010934277437627316,
-0.039865318685770035,
-0.002695987932384014,
-0.03601120039820671,
0.020883066579699516,
-0.018088925629854202,
0.06465891748666763,
0.02753378637135029,
0.0038118925876915455,
-0.000627647852525115,
-0.004781363531947136,
-4.196305170012238e-8,
0.021545186638832092,
-0.06846892088651657,
-0.004192081280052662,
0.03622019663453102,
0.057475849986076355,
0.05978147312998772,
-0.0017091912450268865,
-0.11563117802143097,
0.07034000009298325,
-0.025816725566983223,
-0.060385677963495255,
-0.03003767877817154,
0.017354995012283325,
-0.021108487620949745,
-0.04789556935429573,
0.05685112997889519,
-0.013678554445505142,
-0.08884656429290771,
-0.030694372951984406,
0.01946607232093811,
0.015416993759572506,
0.023591451346874237,
-0.015204794704914093,
0.12186887115240097,
-0.047445207834243774,
-0.014547768048942089,
0.09700261801481247,
0.07759235054254532,
0.0384712778031826,
0.025059226900339127,
0.03737521916627884,
-0.008898697793483734,
0.0455537810921669,
0.06773092597723007,
-0.038735464215278625,
0.085846908390522,
0.014628846198320389,
0.02945803292095661,
-0.04654265195131302,
-0.023184658959507942,
0.07135239243507385,
0.0018872334621846676,
-0.008113637566566467,
0.03611776977777481,
0.10704608261585236,
-0.0068468074314296246,
-0.03992091864347458,
-0.02138969674706459,
-0.014857875183224678,
0.010655749589204788,
-0.04692217335104942,
0.013983764685690403,
-0.00028812390519306064,
0.07162997126579285,
-0.06836380809545517,
0.027440447360277176,
-0.019490893930196762,
0.00958175677806139,
0.03328597918152809,
0.10404450446367264,
0.01143116969615221,
0.07019899040460587,
0.06159793585538864,
0.0003803141589742154
] | null | null | null | null | null | null | null |
[
-0.00890983548015356,
-0.01714514195919037,
-0.029729511588811874,
-0.03258512169122696,
0.003311025444418192,
-0.04702656716108322,
0.0218746867030859,
0.023017888888716698,
0.014922020956873894,
-0.005179552361369133,
-0.02972421795129776,
0.004730040207505226,
0.029752308502793312,
-0.022264882922172546,
0.03519962355494499,
-0.010719374753534794,
0.10030825436115265,
-0.027526089921593666,
-0.04863632470369339,
0.02323591336607933,
-0.010829295963048935,
0.03583555296063423,
-0.0278505627065897,
0.05414903536438942,
-0.0722186416387558,
0.013071078807115555,
-0.09947342425584793,
-0.0868339091539383,
0.002305514644831419,
0.04197965934872627,
-0.03739102929830551,
-0.05468454211950302,
-0.0032411538995802402,
0.038788143545389175,
0.04822482168674469,
0.12041838467121124,
0.04781414195895195,
-0.08177299052476883,
-0.06807367503643036,
-0.0376044437289238,
-0.052806999534368515,
-0.021337399259209633,
-0.032771214842796326,
0.04349307715892792,
0.005069952458143234,
-0.051787301898002625,
-0.03327453136444092,
0.04846478998661041,
-0.10061272233724594,
-0.060021284967660904,
-0.02656037174165249,
-0.018818235024809837,
-0.007356470450758934,
0.03082292713224888,
0.042000845074653625,
0.029433129355311394,
0.02222456783056259,
0.015767589211463928,
-0.023516837507486343,
0.04741479456424713,
-0.02323753386735916,
-0.002369093708693981,
-0.03578541800379753,
0.0007296968251466751,
0.0035539495293051004,
0.04168714955449104,
0.00021159794414415956,
0.020702095702290535,
0.017041783779859543,
0.06855768710374832,
-0.044650569558143616,
-0.007814237847924232,
-0.09038326889276505,
0.05814296007156372,
-0.059141553938388824,
0.03477673977613449,
-0.019817929714918137,
-0.03223011642694473,
-0.08732173591852188,
-0.04712508246302605,
0.033108633011579514,
-0.015336854383349419,
-0.019831975921988487,
0.01989949680864811,
-0.0359077975153923,
0.003209527814760804,
-0.04020527005195618,
0.059768907725811005,
0.06024923920631409,
0.06207006424665451,
-0.04762867093086243,
-0.03637175261974335,
0.04543621838092804,
0.11723151057958603,
0.034193556755781174,
-0.02792760170996189,
0.012427509762346745,
-0.041060883551836014,
-0.06163819506764412,
0.048054538667201996,
0.006130292546004057,
0.06489965319633484,
0.07613358646631241,
-0.06288979202508926,
-0.00600802805274725,
0.017726512625813484,
-0.04772844538092613,
-0.04676320031285286,
-0.09249366819858551,
-0.04512494429945946,
0.04478942230343819,
-0.0037442741449922323,
0.0641087219119072,
0.05468665808439255,
0.011196532286703587,
-0.03524133190512657,
-0.003954424522817135,
-0.057823296636343,
0.0033796573989093304,
0.03934622183442116,
0.06319645047187805,
-0.038303568959236145,
0.016929620876908302,
-0.003876719856634736,
0.03707422688603401,
-0.06757554411888123,
0.0004471186257433146,
8.037341604701617e-34,
-0.032065704464912415,
0.04180146008729935,
-0.03134075179696083,
0.01768217608332634,
0.06602733582258224,
-0.016082774847745895,
0.0014097592793405056,
-0.03719275817275047,
-0.06756182760000229,
-0.0293154064565897,
0.04928501322865486,
-0.04374692961573601,
0.05940674990415573,
0.0058868443593382835,
0.09725610911846161,
-0.0647980272769928,
0.11063669621944427,
0.041218072175979614,
-0.024327082559466362,
-0.0426173210144043,
0.04812609404325485,
0.008650585077702999,
-0.10929007828235626,
-0.02898106537759304,
0.017872286960482597,
-0.050334446132183075,
-0.09871891885995865,
-0.04727407544851303,
0.014442602172493935,
0.018739942461252213,
-0.12107793241739273,
-0.025416161864995956,
0.012058500200510025,
0.09415630251169205,
0.009297104552388191,
0.020352667197585106,
-0.07714570313692093,
-0.0924123227596283,
0.010376573540270329,
-0.05995196849107742,
0.07205361127853394,
-0.03682564198970795,
-0.03468775376677513,
0.06144009158015251,
-0.014429560862481594,
-0.049066994339227676,
-0.09965113550424576,
0.05846504494547844,
-0.09912034869194031,
-0.09366270154714584,
0.06169119104743004,
0.08842363208532333,
-0.020077908411622047,
-0.02808099053800106,
0.0020582485012710094,
-0.01257811114192009,
-0.050885703414678574,
0.0631442666053772,
-0.008009620942175388,
0.17872965335845947,
-0.010297873988747597,
0.04036373272538185,
-0.01483452133834362,
-0.007176978047937155,
0.017506586387753487,
-0.01303678285330534,
-0.12278211116790771,
-0.06432107836008072,
0.06561975181102753,
0.03971286490559578,
-0.057252176105976105,
0.031665150076150894,
-0.013046563602983952,
0.11894849687814713,
0.019636360928416252,
0.019420724362134933,
0.012074874714016914,
-0.0752515196800232,
0.027367400005459785,
-0.03800030052661896,
0.009906760416924953,
-0.018715355545282364,
0.018418774008750916,
0.02956872247159481,
0.02851901389658451,
-0.05123358219861984,
-0.05305200442671776,
0.035206157714128494,
-0.07858307659626007,
0.003125200280919671,
-0.07049477100372314,
-0.058129943907260895,
0.06625504046678543,
0.00377554795704782,
0.014387676492333412,
-2.345153290547704e-33,
0.0004007940588053316,
-0.0282458383589983,
-0.09808080643415451,
0.05394934490323067,
-0.061778724193573,
-0.03110571578145027,
-0.023663988336920738,
-0.04678226262331009,
-0.09983368217945099,
-0.02677408792078495,
-0.10776735097169876,
0.032599207013845444,
0.06461601704359055,
0.02490423619747162,
0.07182177901268005,
-0.011631556786596775,
0.011532586999237537,
-0.054250460118055344,
-0.01032861229032278,
0.026513708755373955,
0.07456807047128677,
0.013258477672934532,
-0.07711620628833771,
0.04671024531126022,
-0.027466779574751854,
0.013144086115062237,
-0.08312330394983292,
0.011876929551362991,
0.0628259927034378,
0.013911956921219826,
-0.014621454291045666,
-0.06728018820285797,
-0.015406174585223198,
-0.05737514793872833,
-0.0019442421616986394,
-0.02807251363992691,
-0.00889219157397747,
0.02973819337785244,
0.021181603893637657,
-0.008010873571038246,
0.14799852669239044,
-0.07000128924846649,
-0.02426721341907978,
0.0463007315993309,
0.03257880359888077,
0.0227493979036808,
-0.09711705893278122,
0.035634595900774,
-0.01045425608754158,
-0.06298211216926575,
-0.010002941824495792,
-0.019552256911993027,
0.1343522071838379,
0.037369441241025925,
0.037143003195524216,
0.050254035741090775,
0.055687837302684784,
0.011185809038579464,
0.05873303860425949,
-0.05134338513016701,
0.009050237946212292,
-0.09917562454938889,
0.04324954003095627,
0.00755789689719677,
0.15189021825790405,
-0.03737497702240944,
0.02563312277197838,
-0.06685711443424225,
-0.033988602459430695,
-0.027881916612386703,
0.09040309488773346,
0.035260528326034546,
-0.07097563147544861,
0.017975173890590668,
0.04365384578704834,
0.05271023139357567,
-0.006607429590076208,
-0.02374216914176941,
-0.01439668983221054,
0.03618532419204712,
-0.015517950057983398,
0.0883130356669426,
0.013371989130973816,
0.08472665399312973,
0.010934277437627316,
-0.039865318685770035,
-0.002695987932384014,
-0.03601120039820671,
0.020883066579699516,
-0.018088925629854202,
0.06465891748666763,
0.02753378637135029,
0.0038118925876915455,
-0.000627647852525115,
-0.004781363531947136,
-4.196305170012238e-8,
0.021545186638832092,
-0.06846892088651657,
-0.004192081280052662,
0.03622019663453102,
0.057475849986076355,
0.05978147312998772,
-0.0017091912450268865,
-0.11563117802143097,
0.07034000009298325,
-0.025816725566983223,
-0.060385677963495255,
-0.03003767877817154,
0.017354995012283325,
-0.021108487620949745,
-0.04789556935429573,
0.05685112997889519,
-0.013678554445505142,
-0.08884656429290771,
-0.030694372951984406,
0.01946607232093811,
0.015416993759572506,
0.023591451346874237,
-0.015204794704914093,
0.12186887115240097,
-0.047445207834243774,
-0.014547768048942089,
0.09700261801481247,
0.07759235054254532,
0.0384712778031826,
0.025059226900339127,
0.03737521916627884,
-0.008898697793483734,
0.0455537810921669,
0.06773092597723007,
-0.038735464215278625,
0.085846908390522,
0.014628846198320389,
0.02945803292095661,
-0.04654265195131302,
-0.023184658959507942,
0.07135239243507385,
0.0018872334621846676,
-0.008113637566566467,
0.03611776977777481,
0.10704608261585236,
-0.0068468074314296246,
-0.03992091864347458,
-0.02138969674706459,
-0.014857875183224678,
0.010655749589204788,
-0.04692217335104942,
0.013983764685690403,
-0.00028812390519306064,
0.07162997126579285,
-0.06836380809545517,
0.027440447360277176,
-0.019490893930196762,
0.00958175677806139,
0.03328597918152809,
0.10404450446367264,
0.01143116969615221,
0.07019899040460587,
0.06159793585538864,
0.0003803141589742154
] |
1401.6328
|
Stefan Nagele
|
Stefan Nagele, Renate Pazourek, Michael Wais, Georg Wachter, and
Joachim Burgd\"orfer
|
Time-resolved photoemission using attosecond streaking
|
Submitted to J.Phys.Conf.Ser. (ICPEAC 2013 conference proceedings) on
27.09.2013, accepted on 28.10.2013, final version submitted on 15.11.2013
|
J. Phys.: Conf. Ser. 488, 012004 (2014)
|
10.1088/1742-6596/488/1/012004
| null |
physics.atom-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We theoretically study time-resolved photoemission in atoms as probed by
attosecond streaking. We review recent advances in the study of the
photoelectric effect in the time domain and show that the experimentally
accessible time shifts can be decomposed into distinct contributions that stem
from the field-free photoionization process itself and from probe-field induced
corrections. We perform accurate quantum-mechanical as well as classical
simulations of attosecond streaking for effective one-electron systems and
determine all relevant contributions to the time delay with attosecond
precision. In particular, we investigate the properties and limitations of
attosecond streaking for the transition from short-ranged potentials
(photodetachment) to long-ranged Coulomb potentials (photoionization). As an
example for a more complex system, we study time-resolved photoionization for
endohedral fullerenes $A$@$\text{C}_{60}$ and discuss how streaking time shifts
are modified due to the interaction of the $\text{C}_{60}$ cage with the
probing infrared streaking field.
|
[
{
"created": "Fri, 24 Jan 2014 12:52:26 GMT",
"version": "v1"
}
] |
2015-03-06
|
[
[
"Nagele",
"Stefan",
""
],
[
"Pazourek",
"Renate",
""
],
[
"Wais",
"Michael",
""
],
[
"Wachter",
"Georg",
""
],
[
"Burgdörfer",
"Joachim",
""
]
] |
[
-0.04504302889108658,
0.04645228385925293,
0.0027602261397987604,
0.05896289646625519,
0.007911710068583488,
-0.01563548482954502,
0.027428165078163147,
0.048681192100048065,
-0.027836311608552933,
0.03667178004980087,
0.0546666719019413,
-0.016984617337584496,
-0.0921650230884552,
-0.03185693547129631,
0.09299944341182709,
-0.015032108873128891,
-0.02581968903541565,
-0.001852906891144812,
0.01373229455202818,
0.048650771379470825,
-0.024845512583851814,
-0.09255354851484299,
0.0543702207505703,
-0.06550130248069763,
0.054001886397600174,
-0.03817565739154816,
0.05176936089992523,
-0.0392051562666893,
-0.014013347215950489,
-0.014626283198595047,
0.06429892033338547,
-0.013773113489151001,
-0.016460098326206207,
0.05223463103175163,
0.021203652024269104,
0.10432545095682144,
0.06601874530315399,
-0.036208149045705795,
-0.0031924527138471603,
-0.05619406700134277,
0.060790177434682846,
0.013056766241788864,
-0.023126356303691864,
0.02040199376642704,
-0.03945479914546013,
-0.06906591355800629,
0.10096000134944916,
-0.008957808837294579,
-0.04958070442080498,
-0.09121125191450119,
0.08780248463153839,
-0.014659940265119076,
0.07392246276140213,
-0.0041918144561350346,
-0.02834652177989483,
0.06805363297462463,
0.0122287692502141,
0.08603253215551376,
-0.0315367691218853,
-0.04493849352002144,
-0.04133348912000656,
-0.04543780907988548,
-0.012183576822280884,
-0.02265574224293232,
0.05319606140255928,
-0.02754344418644905,
0.07901236414909363,
-0.017461951822042465,
-0.014194869436323643,
-0.008183930069208145,
-0.03803475573658943,
0.03571110963821411,
-0.02865489013493061,
-0.02275981195271015,
0.011389431543648243,
0.0003672553284559399,
-0.0010619360255077481,
0.08898237347602844,
0.04939576983451843,
-0.09248360246419907,
0.008226615376770496,
-0.062002647668123245,
0.030494218692183495,
-0.05200870335102081,
-0.004328442271798849,
0.0021623645443469286,
0.020271100103855133,
0.06629917770624161,
-0.015595139935612679,
-0.06127267703413963,
-0.053514041006565094,
-0.049755144864320755,
-0.06531313806772232,
-0.038962822407484055,
-0.015818554908037186,
0.024852151051163673,
0.09355073422193527,
0.03407413512468338,
0.008725594729185104,
-0.013467677868902683,
0.06150694191455841,
0.011112524196505547,
-0.05397539958357811,
0.06061117723584175,
-0.0070318239741027355,
-0.004005684982985258,
0.004003571812063456,
0.09027434885501862,
-0.03337003290653229,
0.009145821444690228,
0.06516880542039871,
0.0012829300248995423,
0.05075233802199364,
-0.020165106281638145,
-0.02167372964322567,
-0.0017166469478979707,
-0.1156172975897789,
0.02208639867603779,
0.03264455869793892,
-0.022571388632059097,
-0.04811793938279152,
0.08556649833917618,
-0.022420883178710938,
0.004068678244948387,
0.015513652935624123,
0.021029578521847725,
-0.0036819942761212587,
2.3004753216668412e-33,
0.02270643599331379,
0.07309236377477646,
-0.0044497158378362656,
-0.03838595002889633,
0.0044587841257452965,
-0.03509238734841347,
-0.02131805568933487,
0.05770048871636391,
-0.12506310641765594,
0.005966809578239918,
0.015296343713998795,
-0.0637744888663292,
0.12262138724327087,
-0.08534977585077286,
-0.02048579603433609,
0.05661874637007713,
-0.04977806657552719,
0.010639483109116554,
0.09156428277492523,
0.1062103658914566,
-0.021397605538368225,
-0.037609174847602844,
0.049475088715553284,
0.08947695791721344,
-0.04668976739048958,
-0.03806525841355324,
0.001463758060708642,
-0.0019615325145423412,
-0.010773285292088985,
-0.04879036918282509,
0.004466381389647722,
0.14222431182861328,
-0.04191244766116142,
-0.0026965891011059284,
0.13372619450092316,
-0.05439222231507301,
0.049987614154815674,
0.01856965571641922,
-0.0018285156693309546,
-0.08259104937314987,
-0.03364302217960358,
0.0017339333426207304,
0.04060938581824303,
-0.015712086111307144,
0.006524842698127031,
-0.06075132638216019,
0.03527689352631569,
-0.027467776089906693,
0.021614456549286842,
0.09419045597314835,
0.01974570006132126,
-0.05135214701294899,
-0.016137398779392242,
0.021425487473607063,
-0.019332829862833023,
0.005357940215617418,
0.06152850762009621,
-0.021328330039978027,
0.0062743183225393295,
0.022596627473831177,
0.1299043595790863,
-0.008043295703828335,
0.020051762461662292,
0.0194266214966774,
-0.11861361563205719,
0.09729395061731339,
-0.0817236378788948,
0.026588235050439835,
0.0026062040124088526,
0.06402008980512619,
-0.0429077073931694,
0.028986331075429916,
0.019697997719049454,
-0.07256928831338882,
0.08089432120323181,
0.042688120156526566,
0.06004475802183151,
-0.04901152476668358,
0.033399928361177444,
0.022626465186476707,
0.01820499263703823,
-0.10623475909233093,
-0.050904348492622375,
-0.04347482696175575,
-0.09832823276519775,
-0.06592744588851929,
-0.0699324682354927,
-0.042851511389017105,
-0.0403820239007473,
-0.021613532677292824,
0.03144677355885506,
-0.01810910739004612,
0.0370909683406353,
-0.056369099766016006,
-0.07599848508834839,
-3.0961422848125e-33,
0.10267499834299088,
-0.0031668921001255512,
-0.06757853925228119,
0.008600180968642235,
0.09297289699316025,
0.06051008030772209,
0.0545206256210804,
0.04435569420456886,
-0.03751978278160095,
-0.04625088348984718,
0.13699696958065033,
0.017925582826137543,
-0.11969971656799316,
-0.038413602858781815,
-0.0706469714641571,
0.043830156326293945,
0.07456967234611511,
-0.08807280659675598,
0.08600015193223953,
0.04258524999022484,
0.04180409759283066,
0.008974114432930946,
0.030488567426800728,
-0.015172894112765789,
0.020465116947889328,
0.07175347208976746,
0.054609037935733795,
-0.08546772599220276,
0.029787275940179825,
-0.0431693010032177,
-0.004547837655991316,
-0.00588280288502574,
-0.01744072698056698,
0.01175613608211279,
-0.09533916413784027,
0.055546779185533524,
-0.008452500216662884,
0.00578949972987175,
-0.010815408080816269,
0.0487380288541317,
0.039813581854104996,
-0.04498233273625374,
-0.06704091280698776,
0.05855243280529976,
-0.004579918459057808,
0.0694548711180687,
-0.1301826685667038,
0.014351637102663517,
-0.09120278060436249,
0.018594348803162575,
-0.04347364231944084,
0.025469249114394188,
0.001319591305218637,
0.01467673946171999,
-0.030558837577700615,
-0.04455820098519325,
0.036736950278282166,
-0.005838717333972454,
0.02794599160552025,
0.03393589332699776,
-0.04369564354419708,
0.010125762782990932,
0.10533565282821655,
-0.017225781455636024,
-0.000038864494854351506,
-0.04154781624674797,
-0.03798943758010864,
-0.005999788176268339,
0.037390828132629395,
-0.026067685335874557,
-0.004022721201181412,
0.02000051736831665,
-0.022451676428318024,
-0.001527481945231557,
-0.035242099314928055,
-0.012059011496603489,
0.09778571128845215,
-0.07439754903316498,
0.01787630096077919,
-0.0745968371629715,
-0.034543998539447784,
0.02999083884060383,
-0.061399005353450775,
-0.03288649395108223,
0.031025605276226997,
0.01724526472389698,
-0.05887797474861145,
0.005211337003856897,
0.003575013717636466,
-0.016519706696271896,
-0.0136130815371871,
0.045696623623371124,
0.08915677666664124,
-0.0064127747900784016,
0.1006741151213646,
-4.404808606750521e-8,
-0.009380342438817024,
0.020482944324612617,
-0.009686704725027084,
-0.011623457074165344,
0.10080475360155106,
-0.005195152014493942,
0.014825788326561451,
0.0475890077650547,
0.002190123777836561,
-0.06868669390678406,
0.058093711733818054,
0.026214152574539185,
0.03617207705974579,
-0.06632261723279953,
0.050985246896743774,
0.02103993110358715,
-0.013505242764949799,
-0.10322555899620056,
-0.04655085504055023,
-0.010936880484223366,
-0.08421953022480011,
-0.030775219202041626,
-0.0015622316859662533,
-0.047331418842077255,
-0.03843861445784569,
-0.019042324274778366,
0.01487228088080883,
-0.01612110808491707,
0.06266219168901443,
-0.06341839581727982,
-0.04658756032586098,
0.013161510229110718,
0.05064493417739868,
0.02401496283710003,
-0.006512490566819906,
-0.03073771484196186,
-0.09123323112726212,
0.022435598075389862,
-0.032014381140470505,
0.03976702690124512,
-0.06865707039833069,
0.0612114779651165,
-0.04219989851117134,
0.0012166817905381322,
-0.020318899303674698,
0.00709306076169014,
-0.005457850638777018,
0.06656062602996826,
0.0184906255453825,
0.07370021939277649,
-0.04189593717455864,
0.027041291818022728,
-0.06642121821641922,
-0.009978176094591618,
-0.04962170869112015,
0.007116877939552069,
-0.03177333623170853,
-0.04285109415650368,
0.019793130457401276,
0.04948427528142929,
0.04375247284770012,
-0.13629326224327087,
-0.08941688388586044,
0.029210176318883896
] | null | null | null | null | null | null | null |
[
-0.04504302889108658,
0.04645228385925293,
0.0027602261397987604,
0.05896289646625519,
0.007911710068583488,
-0.01563548482954502,
0.027428165078163147,
0.048681192100048065,
-0.027836311608552933,
0.03667178004980087,
0.0546666719019413,
-0.016984617337584496,
-0.0921650230884552,
-0.03185693547129631,
0.09299944341182709,
-0.015032108873128891,
-0.02581968903541565,
-0.001852906891144812,
0.01373229455202818,
0.048650771379470825,
-0.024845512583851814,
-0.09255354851484299,
0.0543702207505703,
-0.06550130248069763,
0.054001886397600174,
-0.03817565739154816,
0.05176936089992523,
-0.0392051562666893,
-0.014013347215950489,
-0.014626283198595047,
0.06429892033338547,
-0.013773113489151001,
-0.016460098326206207,
0.05223463103175163,
0.021203652024269104,
0.10432545095682144,
0.06601874530315399,
-0.036208149045705795,
-0.0031924527138471603,
-0.05619406700134277,
0.060790177434682846,
0.013056766241788864,
-0.023126356303691864,
0.02040199376642704,
-0.03945479914546013,
-0.06906591355800629,
0.10096000134944916,
-0.008957808837294579,
-0.04958070442080498,
-0.09121125191450119,
0.08780248463153839,
-0.014659940265119076,
0.07392246276140213,
-0.0041918144561350346,
-0.02834652177989483,
0.06805363297462463,
0.0122287692502141,
0.08603253215551376,
-0.0315367691218853,
-0.04493849352002144,
-0.04133348912000656,
-0.04543780907988548,
-0.012183576822280884,
-0.02265574224293232,
0.05319606140255928,
-0.02754344418644905,
0.07901236414909363,
-0.017461951822042465,
-0.014194869436323643,
-0.008183930069208145,
-0.03803475573658943,
0.03571110963821411,
-0.02865489013493061,
-0.02275981195271015,
0.011389431543648243,
0.0003672553284559399,
-0.0010619360255077481,
0.08898237347602844,
0.04939576983451843,
-0.09248360246419907,
0.008226615376770496,
-0.062002647668123245,
0.030494218692183495,
-0.05200870335102081,
-0.004328442271798849,
0.0021623645443469286,
0.020271100103855133,
0.06629917770624161,
-0.015595139935612679,
-0.06127267703413963,
-0.053514041006565094,
-0.049755144864320755,
-0.06531313806772232,
-0.038962822407484055,
-0.015818554908037186,
0.024852151051163673,
0.09355073422193527,
0.03407413512468338,
0.008725594729185104,
-0.013467677868902683,
0.06150694191455841,
0.011112524196505547,
-0.05397539958357811,
0.06061117723584175,
-0.0070318239741027355,
-0.004005684982985258,
0.004003571812063456,
0.09027434885501862,
-0.03337003290653229,
0.009145821444690228,
0.06516880542039871,
0.0012829300248995423,
0.05075233802199364,
-0.020165106281638145,
-0.02167372964322567,
-0.0017166469478979707,
-0.1156172975897789,
0.02208639867603779,
0.03264455869793892,
-0.022571388632059097,
-0.04811793938279152,
0.08556649833917618,
-0.022420883178710938,
0.004068678244948387,
0.015513652935624123,
0.021029578521847725,
-0.0036819942761212587,
2.3004753216668412e-33,
0.02270643599331379,
0.07309236377477646,
-0.0044497158378362656,
-0.03838595002889633,
0.0044587841257452965,
-0.03509238734841347,
-0.02131805568933487,
0.05770048871636391,
-0.12506310641765594,
0.005966809578239918,
0.015296343713998795,
-0.0637744888663292,
0.12262138724327087,
-0.08534977585077286,
-0.02048579603433609,
0.05661874637007713,
-0.04977806657552719,
0.010639483109116554,
0.09156428277492523,
0.1062103658914566,
-0.021397605538368225,
-0.037609174847602844,
0.049475088715553284,
0.08947695791721344,
-0.04668976739048958,
-0.03806525841355324,
0.001463758060708642,
-0.0019615325145423412,
-0.010773285292088985,
-0.04879036918282509,
0.004466381389647722,
0.14222431182861328,
-0.04191244766116142,
-0.0026965891011059284,
0.13372619450092316,
-0.05439222231507301,
0.049987614154815674,
0.01856965571641922,
-0.0018285156693309546,
-0.08259104937314987,
-0.03364302217960358,
0.0017339333426207304,
0.04060938581824303,
-0.015712086111307144,
0.006524842698127031,
-0.06075132638216019,
0.03527689352631569,
-0.027467776089906693,
0.021614456549286842,
0.09419045597314835,
0.01974570006132126,
-0.05135214701294899,
-0.016137398779392242,
0.021425487473607063,
-0.019332829862833023,
0.005357940215617418,
0.06152850762009621,
-0.021328330039978027,
0.0062743183225393295,
0.022596627473831177,
0.1299043595790863,
-0.008043295703828335,
0.020051762461662292,
0.0194266214966774,
-0.11861361563205719,
0.09729395061731339,
-0.0817236378788948,
0.026588235050439835,
0.0026062040124088526,
0.06402008980512619,
-0.0429077073931694,
0.028986331075429916,
0.019697997719049454,
-0.07256928831338882,
0.08089432120323181,
0.042688120156526566,
0.06004475802183151,
-0.04901152476668358,
0.033399928361177444,
0.022626465186476707,
0.01820499263703823,
-0.10623475909233093,
-0.050904348492622375,
-0.04347482696175575,
-0.09832823276519775,
-0.06592744588851929,
-0.0699324682354927,
-0.042851511389017105,
-0.0403820239007473,
-0.021613532677292824,
0.03144677355885506,
-0.01810910739004612,
0.0370909683406353,
-0.056369099766016006,
-0.07599848508834839,
-3.0961422848125e-33,
0.10267499834299088,
-0.0031668921001255512,
-0.06757853925228119,
0.008600180968642235,
0.09297289699316025,
0.06051008030772209,
0.0545206256210804,
0.04435569420456886,
-0.03751978278160095,
-0.04625088348984718,
0.13699696958065033,
0.017925582826137543,
-0.11969971656799316,
-0.038413602858781815,
-0.0706469714641571,
0.043830156326293945,
0.07456967234611511,
-0.08807280659675598,
0.08600015193223953,
0.04258524999022484,
0.04180409759283066,
0.008974114432930946,
0.030488567426800728,
-0.015172894112765789,
0.020465116947889328,
0.07175347208976746,
0.054609037935733795,
-0.08546772599220276,
0.029787275940179825,
-0.0431693010032177,
-0.004547837655991316,
-0.00588280288502574,
-0.01744072698056698,
0.01175613608211279,
-0.09533916413784027,
0.055546779185533524,
-0.008452500216662884,
0.00578949972987175,
-0.010815408080816269,
0.0487380288541317,
0.039813581854104996,
-0.04498233273625374,
-0.06704091280698776,
0.05855243280529976,
-0.004579918459057808,
0.0694548711180687,
-0.1301826685667038,
0.014351637102663517,
-0.09120278060436249,
0.018594348803162575,
-0.04347364231944084,
0.025469249114394188,
0.001319591305218637,
0.01467673946171999,
-0.030558837577700615,
-0.04455820098519325,
0.036736950278282166,
-0.005838717333972454,
0.02794599160552025,
0.03393589332699776,
-0.04369564354419708,
0.010125762782990932,
0.10533565282821655,
-0.017225781455636024,
-0.000038864494854351506,
-0.04154781624674797,
-0.03798943758010864,
-0.005999788176268339,
0.037390828132629395,
-0.026067685335874557,
-0.004022721201181412,
0.02000051736831665,
-0.022451676428318024,
-0.001527481945231557,
-0.035242099314928055,
-0.012059011496603489,
0.09778571128845215,
-0.07439754903316498,
0.01787630096077919,
-0.0745968371629715,
-0.034543998539447784,
0.02999083884060383,
-0.061399005353450775,
-0.03288649395108223,
0.031025605276226997,
0.01724526472389698,
-0.05887797474861145,
0.005211337003856897,
0.003575013717636466,
-0.016519706696271896,
-0.0136130815371871,
0.045696623623371124,
0.08915677666664124,
-0.0064127747900784016,
0.1006741151213646,
-4.404808606750521e-8,
-0.009380342438817024,
0.020482944324612617,
-0.009686704725027084,
-0.011623457074165344,
0.10080475360155106,
-0.005195152014493942,
0.014825788326561451,
0.0475890077650547,
0.002190123777836561,
-0.06868669390678406,
0.058093711733818054,
0.026214152574539185,
0.03617207705974579,
-0.06632261723279953,
0.050985246896743774,
0.02103993110358715,
-0.013505242764949799,
-0.10322555899620056,
-0.04655085504055023,
-0.010936880484223366,
-0.08421953022480011,
-0.030775219202041626,
-0.0015622316859662533,
-0.047331418842077255,
-0.03843861445784569,
-0.019042324274778366,
0.01487228088080883,
-0.01612110808491707,
0.06266219168901443,
-0.06341839581727982,
-0.04658756032586098,
0.013161510229110718,
0.05064493417739868,
0.02401496283710003,
-0.006512490566819906,
-0.03073771484196186,
-0.09123323112726212,
0.022435598075389862,
-0.032014381140470505,
0.03976702690124512,
-0.06865707039833069,
0.0612114779651165,
-0.04219989851117134,
0.0012166817905381322,
-0.020318899303674698,
0.00709306076169014,
-0.005457850638777018,
0.06656062602996826,
0.0184906255453825,
0.07370021939277649,
-0.04189593717455864,
0.027041291818022728,
-0.06642121821641922,
-0.009978176094591618,
-0.04962170869112015,
0.007116877939552069,
-0.03177333623170853,
-0.04285109415650368,
0.019793130457401276,
0.04948427528142929,
0.04375247284770012,
-0.13629326224327087,
-0.08941688388586044,
0.029210176318883896
] |
1401.6330
|
Li Dong
|
Li Dong, Furu Wei, Shujie Liu, Ming Zhou, Ke Xu
|
A Statistical Parsing Framework for Sentiment Classification
|
Accepted by Computational Linguistics
| null | null | null |
cs.CL
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a statistical parsing framework for sentence-level sentiment
classification in this article. Unlike previous works that employ syntactic
parsing results for sentiment analysis, we develop a statistical parser to
directly analyze the sentiment structure of a sentence. We show that
complicated phenomena in sentiment analysis (e.g., negation, intensification,
and contrast) can be handled the same as simple and straightforward sentiment
expressions in a unified and probabilistic way. We formulate the sentiment
grammar upon Context-Free Grammars (CFGs), and provide a formal description of
the sentiment parsing framework. We develop the parsing model to obtain
possible sentiment parse trees for a sentence, from which the polarity model is
proposed to derive the sentiment strength and polarity, and the ranking model
is dedicated to selecting the best sentiment tree. We train the parser directly
from examples of sentences annotated only with sentiment polarity labels but
without any syntactic annotations or polarity annotations of constituents
within sentences. Therefore we can obtain training data easily. In particular,
we train a sentiment parser, s.parser, from a large amount of review sentences
with users' ratings as rough sentiment polarity labels. Extensive experiments
on existing benchmark datasets show significant improvements over baseline
sentiment classification approaches.
|
[
{
"created": "Fri, 24 Jan 2014 12:56:36 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Mar 2015 05:26:13 GMT",
"version": "v2"
}
] |
2015-03-06
|
[
[
"Dong",
"Li",
""
],
[
"Wei",
"Furu",
""
],
[
"Liu",
"Shujie",
""
],
[
"Zhou",
"Ming",
""
],
[
"Xu",
"Ke",
""
]
] |
[
-0.06487681716680527,
-0.09239707887172699,
0.032155945897102356,
0.04638354107737541,
0.015069857239723206,
-0.001960159046575427,
0.0544096864759922,
0.0352773517370224,
-0.029081124812364578,
-0.006772893946617842,
-0.024118512868881226,
-0.017965497449040413,
0.086473248898983,
0.030504446476697922,
0.05723349377512932,
0.08343343436717987,
0.0645454078912735,
-0.006969420704990625,
-0.0801655575633049,
-0.051260337233543396,
-0.031077763065695763,
0.047868408262729645,
-0.06033213809132576,
-0.014219295233488083,
0.008838869631290436,
0.018855087459087372,
-0.000508094031829387,
0.0366772823035717,
0.015114380978047848,
0.07896244525909424,
-0.019055675715208054,
-0.03849481791257858,
0.014865230768918991,
0.08519145846366882,
-0.07892727851867676,
0.029032565653324127,
0.018531763926148415,
0.011634810827672482,
-0.02111639454960823,
0.023143736645579338,
-0.014253159053623676,
0.004509272053837776,
-0.0102905984967947,
0.0008801217772997916,
0.10098856687545776,
0.011064888909459114,
-0.02211080864071846,
-0.018344644457101822,
-0.041707415133714676,
-0.013258098624646664,
-0.000623138330411166,
0.0014799331547692418,
0.0029424584936350584,
0.010666507296264172,
-0.047107573598623276,
0.048412129282951355,
-0.06714828312397003,
-0.03167980536818504,
0.018330466002225876,
-0.05792640522122383,
-0.010992469266057014,
-0.10698597133159637,
-0.03325914219021797,
-0.0315437987446785,
0.00230594165623188,
-0.09541955590248108,
-0.015183530747890472,
0.05588274076581001,
-0.08987034857273102,
0.05547552555799484,
-0.048099640756845474,
0.028228335082530975,
-0.018586566671729088,
0.11571528017520905,
-0.03772960975766182,
0.020477773621678352,
0.024982081726193428,
0.0127416355535388,
0.06781844049692154,
-0.021340694278478622,
-0.02653750218451023,
-0.024963920935988426,
0.020064905285835266,
0.0665360689163208,
0.06097470223903656,
-0.07209975272417068,
0.07497885078191757,
0.09618233144283295,
-0.0939038097858429,
0.09435160458087921,
0.015235683880746365,
-0.05697961151599884,
0.08476972579956055,
-0.022462014108896255,
-0.00747456680983305,
0.04554112255573273,
-0.09650307893753052,
-0.12226399779319763,
-0.023513587191700935,
0.0824221670627594,
0.00653827004134655,
0.09137497842311859,
-0.03243707865476608,
-0.09717755019664764,
-0.06417497992515564,
0.04236395284533501,
-0.08303229510784149,
0.00018384604481980205,
0.044528596103191376,
-0.09136158227920532,
-0.050193533301353455,
0.09190013259649277,
-0.04029601439833641,
-0.039541490375995636,
0.020862801000475883,
0.009379129856824875,
-0.010975372046232224,
-0.004039509687572718,
0.06190331652760506,
0.10598476976156235,
-0.028347790241241455,
0.011861682869493961,
-0.0507349967956543,
0.04867565259337425,
0.0423569492995739,
0.0024513250682502985,
0.009649213403463364,
2.5463576994611624e-34,
0.06330898404121399,
0.05106871575117111,
0.03954428434371948,
-0.003186893882229924,
-0.025720078498125076,
0.031087340787053108,
-0.059999410063028336,
-0.03310283273458481,
-0.08232167363166809,
-0.03601144999265671,
0.06472998857498169,
0.0058255381882190704,
0.003807441331446171,
0.006150112021714449,
0.014593866653740406,
-0.020798997953534126,
0.03226161748170853,
-0.059781111776828766,
-0.03791295737028122,
-0.021395212039351463,
-0.03372284397482872,
0.07491938769817352,
0.005116707645356655,
-0.033377982676029205,
0.03380466625094414,
-0.0451476126909256,
0.06098850816488266,
-0.018568778410553932,
-0.0075234705582261086,
0.02241773158311844,
-0.09938289225101471,
-0.0631088986992836,
0.04995957762002945,
-0.024366596713662148,
0.046340566128492355,
-0.08257517218589783,
-0.05044945329427719,
0.015586407855153084,
0.014028557576239109,
-0.07385077327489853,
-0.03187898173928261,
0.024706507101655006,
-0.017128324136137962,
0.03194849193096161,
-0.08032785356044769,
0.020868290215730667,
-0.06864036619663239,
0.034529220312833786,
0.04514710605144501,
0.006131579168140888,
0.02338200993835926,
0.0116987070068717,
0.061026912182569504,
-0.023378796875476837,
0.008959858678281307,
0.05248967185616493,
-0.00031237484654411674,
0.060939971357584,
0.001471731811761856,
-0.044960569590330124,
0.010281288996338844,
0.06939232349395752,
0.02362396940588951,
-0.08971297740936279,
0.007042144890874624,
0.05234687030315399,
-0.0771462693810463,
0.03735772892832756,
0.028652135282754898,
-0.01586548425257206,
-0.0492083877325058,
0.058206211775541306,
-0.010703272186219692,
-0.05360913276672363,
0.04792694002389908,
0.06119590625166893,
0.03529895842075348,
0.006060259882360697,
0.01417598407715559,
0.010209405794739723,
-0.04006073251366615,
-0.08930063992738724,
0.13145504891872406,
-0.018376117572188377,
-0.028576631098985672,
-0.08522261679172516,
0.019459998235106468,
-0.010810655541718006,
-0.006357129197567701,
0.008083526976406574,
-0.04931629076600075,
-0.017182640731334686,
-0.01658468320965767,
-0.019063564017415047,
0.001237931428477168,
-7.2260649949319995e-34,
-0.08229375630617142,
-0.06534741818904877,
-0.13293057680130005,
0.05951337516307831,
-0.043459486216306686,
-0.021695492789149284,
-0.08962184190750122,
0.03313753008842468,
0.012303270399570465,
0.019178366288542747,
-0.008549847640097141,
0.03967234864830971,
0.05758756026625633,
-0.01860763505101204,
-0.034911300987005234,
0.057679228484630585,
-0.027517730370163918,
0.07786975055932999,
-0.06456533819437027,
0.01163139846175909,
-0.006522948853671551,
0.16662757098674774,
-0.003621215233579278,
0.09919963032007217,
-0.036102574318647385,
0.00425359234213829,
0.029335321858525276,
0.04827611893415451,
-0.03161861002445221,
-0.055988527834415436,
-0.017359189689159393,
0.006100393831729889,
0.034542132169008255,
-0.03473261371254921,
-0.04608241468667984,
-0.04783805459737778,
0.01473089586943388,
-0.08516637235879898,
-0.043528128415346146,
0.0513404980301857,
0.07336881011724472,
0.05880500748753548,
0.004852152895182371,
-0.02414257638156414,
-0.07196702063083649,
-0.05006958916783333,
-0.020836785435676575,
-0.023562854155898094,
-0.02903999201953411,
-0.004300632979720831,
-0.05303841456770897,
0.032705143094062805,
-0.044812023639678955,
0.09821001440286636,
0.010123271495103836,
-0.09164317697286606,
-0.04667089879512787,
-0.06903199851512909,
0.04269947111606598,
0.03082928992807865,
-0.05691930651664734,
0.052702125161886215,
0.05037650838494301,
-0.04959169402718544,
0.03545386716723442,
-0.1218995749950409,
-0.004195209592580795,
-0.01132807508111,
-0.0010324689792469144,
-0.0052997940219938755,
0.07814866304397583,
0.054519642144441605,
-0.0400361493229866,
0.03507109358906746,
0.00834579672664404,
-0.006143904756754637,
0.07856792211532593,
0.0033501386642456055,
-0.043131597340106964,
-0.07025966793298721,
0.03811030834913254,
-0.023874714970588684,
-0.010016534477472305,
-0.0016261616256088018,
0.09045761823654175,
-0.060657799243927,
0.07263540476560593,
0.014653724618256092,
0.06823267042636871,
0.017372705042362213,
-0.007360917050391436,
0.027714135125279427,
0.030589628964662552,
0.03450208157300949,
-0.023203546181321144,
-3.702477968658968e-8,
-0.030253034085035324,
-0.07797697931528091,
-0.07972194999456406,
0.09344590455293655,
-0.020958349108695984,
0.011400138959288597,
0.0834963396191597,
0.04669594764709473,
-0.02267511747777462,
-0.033340975642204285,
0.067105233669281,
0.03192996606230736,
-0.10050342231988907,
-0.13639764487743378,
-0.003834596835076809,
0.11863680928945541,
0.017398806288838387,
0.003088340163230896,
0.02004058100283146,
0.07161648571491241,
0.08000238239765167,
0.04120069369673729,
0.01907515898346901,
0.08201078325510025,
0.0654064416885376,
-0.014018377289175987,
0.017636746168136597,
-0.0036381122190505266,
-0.0006695535266771913,
0.007472700905054808,
0.02470952272415161,
0.026569155976176262,
-0.07917524874210358,
-0.04595385119318962,
-0.02593301236629486,
0.14674849808216095,
0.004001023713499308,
-0.005931093357503414,
-0.0014984345762059093,
-0.04354165494441986,
0.023033153265714645,
0.0583869144320488,
-0.09727949649095535,
0.04011869430541992,
0.03035372868180275,
-0.04513636603951454,
0.031956326216459274,
-0.06354259699583054,
0.07830721139907837,
-0.0320567712187767,
0.018781784921884537,
-0.04038839787244797,
0.00846005417406559,
-0.02089432254433632,
-0.029363641515374184,
0.04209112375974655,
-0.060250744223594666,
-0.023988770321011543,
-0.028520599007606506,
0.06366486102342606,
0.05647425726056099,
0.039916764944791794,
0.017682479694485664,
0.030209584161639214
] | null | null | null | null | null | null | null |
[
-0.06487681716680527,
-0.09239707887172699,
0.032155945897102356,
0.04638354107737541,
0.015069857239723206,
-0.001960159046575427,
0.0544096864759922,
0.0352773517370224,
-0.029081124812364578,
-0.006772893946617842,
-0.024118512868881226,
-0.017965497449040413,
0.086473248898983,
0.030504446476697922,
0.05723349377512932,
0.08343343436717987,
0.0645454078912735,
-0.006969420704990625,
-0.0801655575633049,
-0.051260337233543396,
-0.031077763065695763,
0.047868408262729645,
-0.06033213809132576,
-0.014219295233488083,
0.008838869631290436,
0.018855087459087372,
-0.000508094031829387,
0.0366772823035717,
0.015114380978047848,
0.07896244525909424,
-0.019055675715208054,
-0.03849481791257858,
0.014865230768918991,
0.08519145846366882,
-0.07892727851867676,
0.029032565653324127,
0.018531763926148415,
0.011634810827672482,
-0.02111639454960823,
0.023143736645579338,
-0.014253159053623676,
0.004509272053837776,
-0.0102905984967947,
0.0008801217772997916,
0.10098856687545776,
0.011064888909459114,
-0.02211080864071846,
-0.018344644457101822,
-0.041707415133714676,
-0.013258098624646664,
-0.000623138330411166,
0.0014799331547692418,
0.0029424584936350584,
0.010666507296264172,
-0.047107573598623276,
0.048412129282951355,
-0.06714828312397003,
-0.03167980536818504,
0.018330466002225876,
-0.05792640522122383,
-0.010992469266057014,
-0.10698597133159637,
-0.03325914219021797,
-0.0315437987446785,
0.00230594165623188,
-0.09541955590248108,
-0.015183530747890472,
0.05588274076581001,
-0.08987034857273102,
0.05547552555799484,
-0.048099640756845474,
0.028228335082530975,
-0.018586566671729088,
0.11571528017520905,
-0.03772960975766182,
0.020477773621678352,
0.024982081726193428,
0.0127416355535388,
0.06781844049692154,
-0.021340694278478622,
-0.02653750218451023,
-0.024963920935988426,
0.020064905285835266,
0.0665360689163208,
0.06097470223903656,
-0.07209975272417068,
0.07497885078191757,
0.09618233144283295,
-0.0939038097858429,
0.09435160458087921,
0.015235683880746365,
-0.05697961151599884,
0.08476972579956055,
-0.022462014108896255,
-0.00747456680983305,
0.04554112255573273,
-0.09650307893753052,
-0.12226399779319763,
-0.023513587191700935,
0.0824221670627594,
0.00653827004134655,
0.09137497842311859,
-0.03243707865476608,
-0.09717755019664764,
-0.06417497992515564,
0.04236395284533501,
-0.08303229510784149,
0.00018384604481980205,
0.044528596103191376,
-0.09136158227920532,
-0.050193533301353455,
0.09190013259649277,
-0.04029601439833641,
-0.039541490375995636,
0.020862801000475883,
0.009379129856824875,
-0.010975372046232224,
-0.004039509687572718,
0.06190331652760506,
0.10598476976156235,
-0.028347790241241455,
0.011861682869493961,
-0.0507349967956543,
0.04867565259337425,
0.0423569492995739,
0.0024513250682502985,
0.009649213403463364,
2.5463576994611624e-34,
0.06330898404121399,
0.05106871575117111,
0.03954428434371948,
-0.003186893882229924,
-0.025720078498125076,
0.031087340787053108,
-0.059999410063028336,
-0.03310283273458481,
-0.08232167363166809,
-0.03601144999265671,
0.06472998857498169,
0.0058255381882190704,
0.003807441331446171,
0.006150112021714449,
0.014593866653740406,
-0.020798997953534126,
0.03226161748170853,
-0.059781111776828766,
-0.03791295737028122,
-0.021395212039351463,
-0.03372284397482872,
0.07491938769817352,
0.005116707645356655,
-0.033377982676029205,
0.03380466625094414,
-0.0451476126909256,
0.06098850816488266,
-0.018568778410553932,
-0.0075234705582261086,
0.02241773158311844,
-0.09938289225101471,
-0.0631088986992836,
0.04995957762002945,
-0.024366596713662148,
0.046340566128492355,
-0.08257517218589783,
-0.05044945329427719,
0.015586407855153084,
0.014028557576239109,
-0.07385077327489853,
-0.03187898173928261,
0.024706507101655006,
-0.017128324136137962,
0.03194849193096161,
-0.08032785356044769,
0.020868290215730667,
-0.06864036619663239,
0.034529220312833786,
0.04514710605144501,
0.006131579168140888,
0.02338200993835926,
0.0116987070068717,
0.061026912182569504,
-0.023378796875476837,
0.008959858678281307,
0.05248967185616493,
-0.00031237484654411674,
0.060939971357584,
0.001471731811761856,
-0.044960569590330124,
0.010281288996338844,
0.06939232349395752,
0.02362396940588951,
-0.08971297740936279,
0.007042144890874624,
0.05234687030315399,
-0.0771462693810463,
0.03735772892832756,
0.028652135282754898,
-0.01586548425257206,
-0.0492083877325058,
0.058206211775541306,
-0.010703272186219692,
-0.05360913276672363,
0.04792694002389908,
0.06119590625166893,
0.03529895842075348,
0.006060259882360697,
0.01417598407715559,
0.010209405794739723,
-0.04006073251366615,
-0.08930063992738724,
0.13145504891872406,
-0.018376117572188377,
-0.028576631098985672,
-0.08522261679172516,
0.019459998235106468,
-0.010810655541718006,
-0.006357129197567701,
0.008083526976406574,
-0.04931629076600075,
-0.017182640731334686,
-0.01658468320965767,
-0.019063564017415047,
0.001237931428477168,
-7.2260649949319995e-34,
-0.08229375630617142,
-0.06534741818904877,
-0.13293057680130005,
0.05951337516307831,
-0.043459486216306686,
-0.021695492789149284,
-0.08962184190750122,
0.03313753008842468,
0.012303270399570465,
0.019178366288542747,
-0.008549847640097141,
0.03967234864830971,
0.05758756026625633,
-0.01860763505101204,
-0.034911300987005234,
0.057679228484630585,
-0.027517730370163918,
0.07786975055932999,
-0.06456533819437027,
0.01163139846175909,
-0.006522948853671551,
0.16662757098674774,
-0.003621215233579278,
0.09919963032007217,
-0.036102574318647385,
0.00425359234213829,
0.029335321858525276,
0.04827611893415451,
-0.03161861002445221,
-0.055988527834415436,
-0.017359189689159393,
0.006100393831729889,
0.034542132169008255,
-0.03473261371254921,
-0.04608241468667984,
-0.04783805459737778,
0.01473089586943388,
-0.08516637235879898,
-0.043528128415346146,
0.0513404980301857,
0.07336881011724472,
0.05880500748753548,
0.004852152895182371,
-0.02414257638156414,
-0.07196702063083649,
-0.05006958916783333,
-0.020836785435676575,
-0.023562854155898094,
-0.02903999201953411,
-0.004300632979720831,
-0.05303841456770897,
0.032705143094062805,
-0.044812023639678955,
0.09821001440286636,
0.010123271495103836,
-0.09164317697286606,
-0.04667089879512787,
-0.06903199851512909,
0.04269947111606598,
0.03082928992807865,
-0.05691930651664734,
0.052702125161886215,
0.05037650838494301,
-0.04959169402718544,
0.03545386716723442,
-0.1218995749950409,
-0.004195209592580795,
-0.01132807508111,
-0.0010324689792469144,
-0.0052997940219938755,
0.07814866304397583,
0.054519642144441605,
-0.0400361493229866,
0.03507109358906746,
0.00834579672664404,
-0.006143904756754637,
0.07856792211532593,
0.0033501386642456055,
-0.043131597340106964,
-0.07025966793298721,
0.03811030834913254,
-0.023874714970588684,
-0.010016534477472305,
-0.0016261616256088018,
0.09045761823654175,
-0.060657799243927,
0.07263540476560593,
0.014653724618256092,
0.06823267042636871,
0.017372705042362213,
-0.007360917050391436,
0.027714135125279427,
0.030589628964662552,
0.03450208157300949,
-0.023203546181321144,
-3.702477968658968e-8,
-0.030253034085035324,
-0.07797697931528091,
-0.07972194999456406,
0.09344590455293655,
-0.020958349108695984,
0.011400138959288597,
0.0834963396191597,
0.04669594764709473,
-0.02267511747777462,
-0.033340975642204285,
0.067105233669281,
0.03192996606230736,
-0.10050342231988907,
-0.13639764487743378,
-0.003834596835076809,
0.11863680928945541,
0.017398806288838387,
0.003088340163230896,
0.02004058100283146,
0.07161648571491241,
0.08000238239765167,
0.04120069369673729,
0.01907515898346901,
0.08201078325510025,
0.0654064416885376,
-0.014018377289175987,
0.017636746168136597,
-0.0036381122190505266,
-0.0006695535266771913,
0.007472700905054808,
0.02470952272415161,
0.026569155976176262,
-0.07917524874210358,
-0.04595385119318962,
-0.02593301236629486,
0.14674849808216095,
0.004001023713499308,
-0.005931093357503414,
-0.0014984345762059093,
-0.04354165494441986,
0.023033153265714645,
0.0583869144320488,
-0.09727949649095535,
0.04011869430541992,
0.03035372868180275,
-0.04513636603951454,
0.031956326216459274,
-0.06354259699583054,
0.07830721139907837,
-0.0320567712187767,
0.018781784921884537,
-0.04038839787244797,
0.00846005417406559,
-0.02089432254433632,
-0.029363641515374184,
0.04209112375974655,
-0.060250744223594666,
-0.023988770321011543,
-0.028520599007606506,
0.06366486102342606,
0.05647425726056099,
0.039916764944791794,
0.017682479694485664,
0.030209584161639214
] |
1401.6333
|
Yang Yu
|
Yang Yu and Hong Qian
|
The Sampling-and-Learning Framework: A Statistical View of Evolutionary
Algorithms
| null | null | null | null |
cs.NE cs.LG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Evolutionary algorithms (EAs), a large class of general purpose optimization
algorithms inspired from the natural phenomena, are widely used in various
industrial optimizations and often show excellent performance. This paper
presents an attempt towards revealing their general power from a statistical
view of EAs. By summarizing a large range of EAs into the sampling-and-learning
framework, we show that the framework directly admits a general analysis on the
probable-absolute-approximate (PAA) query complexity. We particularly focus on
the framework with the learning subroutine being restricted as a binary
classification, which results in the sampling-and-classification (SAC)
algorithms. With the help of the learning theory, we obtain a general upper
bound on the PAA query complexity of SAC algorithms. We further compare SAC
algorithms with the uniform search in different situations. Under the
error-target independence condition, we show that SAC algorithms can achieve
polynomial speedup to the uniform search, but not super-polynomial speedup.
Under the one-side-error condition, we show that super-polynomial speedup can
be achieved. This work only touches the surface of the framework. Its power
under other conditions is still open.
|
[
{
"created": "Fri, 24 Jan 2014 13:10:11 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Apr 2014 14:29:27 GMT",
"version": "v2"
}
] |
2014-04-14
|
[
[
"Yu",
"Yang",
""
],
[
"Qian",
"Hong",
""
]
] |
[
-0.08356045931577682,
0.016338767483830452,
-0.0769721120595932,
0.007746574468910694,
0.065163753926754,
-0.07196567952632904,
-0.01343782152980566,
-0.011995332315564156,
-0.035792212933301926,
-0.010195596143603325,
-0.08515726029872894,
-0.0026375334709882736,
-0.02070530317723751,
-0.057971760630607605,
-0.04905882105231285,
-0.027465153485536575,
0.044514250010252,
0.03546004742383957,
-0.004293104633688927,
-0.01936589740216732,
0.06004819646477699,
0.03195725381374359,
0.0723816305398941,
-0.028190977871418,
0.024995261803269386,
0.027330296114087105,
0.009276657365262508,
0.007857783697545528,
0.044991061091423035,
0.022267524152994156,
-0.0203089602291584,
-0.01727236807346344,
0.04057297855615616,
-0.054870881140232086,
0.05028291046619415,
0.055895280092954636,
-0.03551384434103966,
0.039736680686473846,
0.06503172218799591,
-0.02764224261045456,
0.014498868025839329,
-0.012993169948458672,
-0.04991454258561134,
-0.01741565763950348,
0.033518269658088684,
0.065620057284832,
-0.018109435215592384,
-0.03598010912537575,
-0.01887458935379982,
-0.0014385964022949338,
-0.03923247754573822,
-0.08693081140518188,
-0.08953827619552612,
0.04597507044672966,
-0.014781230129301548,
-0.02300356887280941,
-0.06952442228794098,
0.008331441320478916,
0.006949764210730791,
0.03897332772612572,
-0.04393359646201134,
-0.1627756804227829,
0.05466235429048538,
-0.003768089460209012,
-0.022503435611724854,
-0.012096221558749676,
0.03533312678337097,
0.021345624700188637,
0.021167222410440445,
0.0316670686006546,
-0.013530709780752659,
0.056039780378341675,
-0.131294384598732,
0.09055683016777039,
0.05361350253224373,
0.02873549982905388,
0.07037997990846634,
-0.019288597628474236,
-0.0684094950556755,
-0.047393929213285446,
-0.045758653432130814,
0.014656535349786282,
-0.011995921842753887,
-0.001366269774734974,
0.08517883718013763,
-0.02412322722375393,
0.06883174926042557,
-0.003326867939904332,
0.1285950392484665,
0.015673289075493813,
-0.0658016949892044,
0.014200800098478794,
-0.0745600163936615,
-0.07418955862522125,
0.013730994425714016,
-0.001343631069175899,
-0.006270951591432095,
0.01493481732904911,
0.026356421411037445,
0.06701526045799255,
-0.02366861328482628,
0.04668083041906357,
-0.0016699130646884441,
-0.02776174433529377,
0.020973557606339455,
-0.0009340245160274208,
-0.020984994247555733,
-0.02125007100403309,
-0.0004509053542278707,
-0.0889851376414299,
0.018526211380958557,
0.0276460163295269,
-0.02007334493100643,
-0.02937130443751812,
-0.05895755812525749,
0.031329039484262466,
-0.055724382400512695,
-0.025941520929336548,
-0.03045589290559292,
0.012074845843017101,
-0.0742778480052948,
0.07214909046888351,
-0.037810564041137695,
0.05195603519678116,
0.00532126147300005,
-0.04067666828632355,
-0.08876808732748032,
-3.003793979243963e-34,
0.002652448369190097,
0.025615064427256584,
0.03940160199999809,
-0.07914965599775314,
0.024202756583690643,
0.03404953330755234,
0.10674238204956055,
0.047254450619220734,
0.09137463569641113,
0.12591250240802765,
-0.03600221872329712,
-0.019099483266472816,
0.029974548146128654,
-0.029909733682870865,
0.09558361023664474,
0.033073678612709045,
-0.010896996594965458,
0.03245774656534195,
-0.02821054682135582,
-0.1151060089468956,
0.07793169468641281,
-0.053149327635765076,
0.021780524402856827,
-0.012212158180773258,
0.01629309169948101,
-0.001147006289102137,
0.008620156906545162,
0.011973013170063496,
-0.013196672312915325,
-0.00022447752417065203,
-0.024665331467986107,
0.04354332387447357,
-0.02021826058626175,
0.04712717980146408,
0.008768375962972641,
-0.002193388994783163,
0.031491730362176895,
-0.028815098106861115,
-0.03407300263643265,
0.09435087442398071,
-0.07563475519418716,
0.05976301059126854,
0.11951949447393417,
-0.036969397217035294,
-0.07701224088668823,
-0.07081086933612823,
0.006497724447399378,
-0.010976208373904228,
0.04843424633145332,
0.02856861799955368,
-0.014977873302996159,
-0.06680469214916229,
-0.016301250085234642,
0.010199896059930325,
0.06704962998628616,
0.07526072859764099,
-0.0017385755199939013,
0.11177881062030792,
0.01600690372288227,
0.08526455610990524,
-0.0430779866874218,
-0.08939211070537567,
0.008064821362495422,
0.023779544979333878,
-0.00948206428438425,
0.08770858496427536,
-0.008394208736717701,
0.013272850774228573,
0.04287130385637283,
-0.02644149586558342,
0.04387616366147995,
-0.06377363204956055,
-0.021584762260317802,
-0.0718354731798172,
0.086152583360672,
0.02251313254237175,
0.0691380426287651,
0.01659300923347473,
-0.012222361750900745,
0.020506013184785843,
-0.034794799983501434,
0.08327507227659225,
0.044472429901361465,
-0.06435303390026093,
-0.06172145903110504,
-0.10647967457771301,
0.02145693264901638,
-0.04132934287190437,
-0.03422416374087334,
-0.012373105622828007,
-0.13874152302742004,
0.08132436871528625,
-0.04410626366734505,
-0.03421492874622345,
-0.03155028074979782,
-1.8761525340757122e-33,
-0.001756500219926238,
-0.0695241168141365,
0.029380178079009056,
0.0157651137560606,
0.014667893759906292,
-0.02213086187839508,
-0.06723484396934509,
-0.0661015659570694,
-0.043992552906274796,
0.01125043909996748,
-0.06061108037829399,
0.04695824533700943,
0.1130349263548851,
-0.01838901825249195,
-0.03321618586778641,
0.10228811204433441,
-0.017972461879253387,
0.049519605934619904,
0.029666181653738022,
0.014193146489560604,
0.07730953395366669,
0.14438490569591522,
-0.01346961222589016,
-0.007403011899441481,
-0.01438938919454813,
-0.004032926633954048,
-0.04008791223168373,
0.09260964393615723,
-0.01714962348341942,
-0.003176435362547636,
-0.06965417414903641,
-0.036993298679590225,
-0.11832225322723389,
-0.007657362148165703,
-0.018416909500956535,
0.04910976067185402,
0.0007483807276003063,
0.08115289360284805,
0.022774264216423035,
0.11304362863302231,
0.011813132092356682,
-0.024623297154903412,
-0.032005831599235535,
0.028649568557739258,
0.0019564733374863863,
-0.0858798399567604,
-0.012082151137292385,
0.0010782508179545403,
0.08404989540576935,
0.03489482030272484,
0.034910354763269424,
-0.006314993370324373,
-0.028490973636507988,
0.01658225990831852,
0.00028518124599941075,
-0.027487032115459442,
-0.042377371340990067,
0.06963174045085907,
0.005352323409169912,
-0.005210437346249819,
-0.011327467858791351,
0.0515449158847332,
-0.019585996866226196,
0.08480673283338547,
-0.027621494606137276,
0.07980329543352127,
-0.016259515658020973,
-0.08584224432706833,
0.003296664683148265,
0.04058438912034035,
-0.03535451740026474,
0.0030645173974335194,
-0.02961382269859314,
-0.02249218337237835,
-0.09602932631969452,
0.01605912670493126,
0.04291205853223801,
-0.02807638980448246,
-0.04530325159430504,
-0.02246673032641411,
-0.01047628466039896,
0.05826569348573685,
0.018457509577274323,
0.065337173640728,
-0.0042701601050794125,
0.024800779297947884,
0.0593467615544796,
0.02886880934238434,
0.05362841114401817,
-0.07454424351453781,
-0.0005443384288810194,
0.007883290760219097,
0.0515485554933548,
0.013923963531851768,
-0.059349000453948975,
-5.0470443824224276e-8,
-0.029389016330242157,
0.04250313714146614,
-0.002170623978599906,
0.008402402512729168,
0.19495214521884918,
-0.0001896276808110997,
-0.031181972473859787,
0.05445687100291252,
-0.06758416444063187,
-0.059800032526254654,
0.0687016025185585,
0.033144209533929825,
0.06876831501722336,
0.07252329587936401,
0.04709921032190323,
-0.0014344996307045221,
-0.10280361026525497,
-0.06424017995595932,
-0.05058273673057556,
-0.010027279146015644,
-0.05302409455180168,
-0.007395243272185326,
0.019039325416088104,
0.007768188137561083,
0.0200345516204834,
-0.07818464189767838,
-0.04020838439464569,
-0.07452087104320526,
0.05957770347595215,
0.052447039633989334,
-0.043285202234983444,
0.027125872671604156,
0.02311588078737259,
-0.015511034987866879,
0.06954564154148102,
0.01999916136264801,
-0.007762016262859106,
-0.037243034690618515,
-0.12231730669736862,
-0.039115678519010544,
-0.004266184754669666,
0.00876013282686472,
-0.01998627558350563,
0.015216990374028683,
0.03826708719134331,
-0.009484986774623394,
0.024348948150873184,
-0.09760754555463791,
-0.017095113173127174,
0.00985477864742279,
0.09571550041437149,
-0.013454142026603222,
0.022544706240296364,
-0.04939689487218857,
0.027846794575452805,
-0.010890505276620388,
-0.03149033710360527,
-0.10495414584875107,
0.05841800197958946,
0.02642628364264965,
0.053913116455078125,
0.006983496714383364,
0.03784975782036781,
0.007071652915328741
] | null | null | null | null | null | null | null |
[
-0.08356045931577682,
0.016338767483830452,
-0.0769721120595932,
0.007746574468910694,
0.065163753926754,
-0.07196567952632904,
-0.01343782152980566,
-0.011995332315564156,
-0.035792212933301926,
-0.010195596143603325,
-0.08515726029872894,
-0.0026375334709882736,
-0.02070530317723751,
-0.057971760630607605,
-0.04905882105231285,
-0.027465153485536575,
0.044514250010252,
0.03546004742383957,
-0.004293104633688927,
-0.01936589740216732,
0.06004819646477699,
0.03195725381374359,
0.0723816305398941,
-0.028190977871418,
0.024995261803269386,
0.027330296114087105,
0.009276657365262508,
0.007857783697545528,
0.044991061091423035,
0.022267524152994156,
-0.0203089602291584,
-0.01727236807346344,
0.04057297855615616,
-0.054870881140232086,
0.05028291046619415,
0.055895280092954636,
-0.03551384434103966,
0.039736680686473846,
0.06503172218799591,
-0.02764224261045456,
0.014498868025839329,
-0.012993169948458672,
-0.04991454258561134,
-0.01741565763950348,
0.033518269658088684,
0.065620057284832,
-0.018109435215592384,
-0.03598010912537575,
-0.01887458935379982,
-0.0014385964022949338,
-0.03923247754573822,
-0.08693081140518188,
-0.08953827619552612,
0.04597507044672966,
-0.014781230129301548,
-0.02300356887280941,
-0.06952442228794098,
0.008331441320478916,
0.006949764210730791,
0.03897332772612572,
-0.04393359646201134,
-0.1627756804227829,
0.05466235429048538,
-0.003768089460209012,
-0.022503435611724854,
-0.012096221558749676,
0.03533312678337097,
0.021345624700188637,
0.021167222410440445,
0.0316670686006546,
-0.013530709780752659,
0.056039780378341675,
-0.131294384598732,
0.09055683016777039,
0.05361350253224373,
0.02873549982905388,
0.07037997990846634,
-0.019288597628474236,
-0.0684094950556755,
-0.047393929213285446,
-0.045758653432130814,
0.014656535349786282,
-0.011995921842753887,
-0.001366269774734974,
0.08517883718013763,
-0.02412322722375393,
0.06883174926042557,
-0.003326867939904332,
0.1285950392484665,
0.015673289075493813,
-0.0658016949892044,
0.014200800098478794,
-0.0745600163936615,
-0.07418955862522125,
0.013730994425714016,
-0.001343631069175899,
-0.006270951591432095,
0.01493481732904911,
0.026356421411037445,
0.06701526045799255,
-0.02366861328482628,
0.04668083041906357,
-0.0016699130646884441,
-0.02776174433529377,
0.020973557606339455,
-0.0009340245160274208,
-0.020984994247555733,
-0.02125007100403309,
-0.0004509053542278707,
-0.0889851376414299,
0.018526211380958557,
0.0276460163295269,
-0.02007334493100643,
-0.02937130443751812,
-0.05895755812525749,
0.031329039484262466,
-0.055724382400512695,
-0.025941520929336548,
-0.03045589290559292,
0.012074845843017101,
-0.0742778480052948,
0.07214909046888351,
-0.037810564041137695,
0.05195603519678116,
0.00532126147300005,
-0.04067666828632355,
-0.08876808732748032,
-3.003793979243963e-34,
0.002652448369190097,
0.025615064427256584,
0.03940160199999809,
-0.07914965599775314,
0.024202756583690643,
0.03404953330755234,
0.10674238204956055,
0.047254450619220734,
0.09137463569641113,
0.12591250240802765,
-0.03600221872329712,
-0.019099483266472816,
0.029974548146128654,
-0.029909733682870865,
0.09558361023664474,
0.033073678612709045,
-0.010896996594965458,
0.03245774656534195,
-0.02821054682135582,
-0.1151060089468956,
0.07793169468641281,
-0.053149327635765076,
0.021780524402856827,
-0.012212158180773258,
0.01629309169948101,
-0.001147006289102137,
0.008620156906545162,
0.011973013170063496,
-0.013196672312915325,
-0.00022447752417065203,
-0.024665331467986107,
0.04354332387447357,
-0.02021826058626175,
0.04712717980146408,
0.008768375962972641,
-0.002193388994783163,
0.031491730362176895,
-0.028815098106861115,
-0.03407300263643265,
0.09435087442398071,
-0.07563475519418716,
0.05976301059126854,
0.11951949447393417,
-0.036969397217035294,
-0.07701224088668823,
-0.07081086933612823,
0.006497724447399378,
-0.010976208373904228,
0.04843424633145332,
0.02856861799955368,
-0.014977873302996159,
-0.06680469214916229,
-0.016301250085234642,
0.010199896059930325,
0.06704962998628616,
0.07526072859764099,
-0.0017385755199939013,
0.11177881062030792,
0.01600690372288227,
0.08526455610990524,
-0.0430779866874218,
-0.08939211070537567,
0.008064821362495422,
0.023779544979333878,
-0.00948206428438425,
0.08770858496427536,
-0.008394208736717701,
0.013272850774228573,
0.04287130385637283,
-0.02644149586558342,
0.04387616366147995,
-0.06377363204956055,
-0.021584762260317802,
-0.0718354731798172,
0.086152583360672,
0.02251313254237175,
0.0691380426287651,
0.01659300923347473,
-0.012222361750900745,
0.020506013184785843,
-0.034794799983501434,
0.08327507227659225,
0.044472429901361465,
-0.06435303390026093,
-0.06172145903110504,
-0.10647967457771301,
0.02145693264901638,
-0.04132934287190437,
-0.03422416374087334,
-0.012373105622828007,
-0.13874152302742004,
0.08132436871528625,
-0.04410626366734505,
-0.03421492874622345,
-0.03155028074979782,
-1.8761525340757122e-33,
-0.001756500219926238,
-0.0695241168141365,
0.029380178079009056,
0.0157651137560606,
0.014667893759906292,
-0.02213086187839508,
-0.06723484396934509,
-0.0661015659570694,
-0.043992552906274796,
0.01125043909996748,
-0.06061108037829399,
0.04695824533700943,
0.1130349263548851,
-0.01838901825249195,
-0.03321618586778641,
0.10228811204433441,
-0.017972461879253387,
0.049519605934619904,
0.029666181653738022,
0.014193146489560604,
0.07730953395366669,
0.14438490569591522,
-0.01346961222589016,
-0.007403011899441481,
-0.01438938919454813,
-0.004032926633954048,
-0.04008791223168373,
0.09260964393615723,
-0.01714962348341942,
-0.003176435362547636,
-0.06965417414903641,
-0.036993298679590225,
-0.11832225322723389,
-0.007657362148165703,
-0.018416909500956535,
0.04910976067185402,
0.0007483807276003063,
0.08115289360284805,
0.022774264216423035,
0.11304362863302231,
0.011813132092356682,
-0.024623297154903412,
-0.032005831599235535,
0.028649568557739258,
0.0019564733374863863,
-0.0858798399567604,
-0.012082151137292385,
0.0010782508179545403,
0.08404989540576935,
0.03489482030272484,
0.034910354763269424,
-0.006314993370324373,
-0.028490973636507988,
0.01658225990831852,
0.00028518124599941075,
-0.027487032115459442,
-0.042377371340990067,
0.06963174045085907,
0.005352323409169912,
-0.005210437346249819,
-0.011327467858791351,
0.0515449158847332,
-0.019585996866226196,
0.08480673283338547,
-0.027621494606137276,
0.07980329543352127,
-0.016259515658020973,
-0.08584224432706833,
0.003296664683148265,
0.04058438912034035,
-0.03535451740026474,
0.0030645173974335194,
-0.02961382269859314,
-0.02249218337237835,
-0.09602932631969452,
0.01605912670493126,
0.04291205853223801,
-0.02807638980448246,
-0.04530325159430504,
-0.02246673032641411,
-0.01047628466039896,
0.05826569348573685,
0.018457509577274323,
0.065337173640728,
-0.0042701601050794125,
0.024800779297947884,
0.0593467615544796,
0.02886880934238434,
0.05362841114401817,
-0.07454424351453781,
-0.0005443384288810194,
0.007883290760219097,
0.0515485554933548,
0.013923963531851768,
-0.059349000453948975,
-5.0470443824224276e-8,
-0.029389016330242157,
0.04250313714146614,
-0.002170623978599906,
0.008402402512729168,
0.19495214521884918,
-0.0001896276808110997,
-0.031181972473859787,
0.05445687100291252,
-0.06758416444063187,
-0.059800032526254654,
0.0687016025185585,
0.033144209533929825,
0.06876831501722336,
0.07252329587936401,
0.04709921032190323,
-0.0014344996307045221,
-0.10280361026525497,
-0.06424017995595932,
-0.05058273673057556,
-0.010027279146015644,
-0.05302409455180168,
-0.007395243272185326,
0.019039325416088104,
0.007768188137561083,
0.0200345516204834,
-0.07818464189767838,
-0.04020838439464569,
-0.07452087104320526,
0.05957770347595215,
0.052447039633989334,
-0.043285202234983444,
0.027125872671604156,
0.02311588078737259,
-0.015511034987866879,
0.06954564154148102,
0.01999916136264801,
-0.007762016262859106,
-0.037243034690618515,
-0.12231730669736862,
-0.039115678519010544,
-0.004266184754669666,
0.00876013282686472,
-0.01998627558350563,
0.015216990374028683,
0.03826708719134331,
-0.009484986774623394,
0.024348948150873184,
-0.09760754555463791,
-0.017095113173127174,
0.00985477864742279,
0.09571550041437149,
-0.013454142026603222,
0.022544706240296364,
-0.04939689487218857,
0.027846794575452805,
-0.010890505276620388,
-0.03149033710360527,
-0.10495414584875107,
0.05841800197958946,
0.02642628364264965,
0.053913116455078125,
0.006983496714383364,
0.03784975782036781,
0.007071652915328741
] |
1401.6334
|
Anna Mrozik Mrs
|
Anna Mrozik, Pawe{\l} Bilski, Barbara Marczewska, Barbara Obryk,
Krzysztof Hodyr and Wojciech Gieszczyk
|
Radio-photoluminescence of highly irradiated LiF:Mg,Ti and LiF:Mg,Cu,P
detectors
|
The manuscript was submitted for publication in the Special Issue of
Radiation Measurements. The SSD17 manuscript presented during Poster Session
| null | null | null |
physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The radio-photoluminescent (RPL) characteristics of LiF:Mg,Ti (MTS) and
LiF:Mg,Cu,P (MCP) thermoluminescent detectors, routinely used in radiation
protection dosimetry, were investigated after irradiation with ultra-high
electron doses ranging up to 1 MGy. The photoluminescence of both types of LiF
detectors was stimulated by a blue light (460 nm) and measured within a
spectral window around 530 nm. The RPL dose response was found to be linear up
to 50 kGy and sublinear in the range of 50 kGy to 1 MGy for MCP detectors and
linear up to 3 kGy and next sublinear in the range from 5 kGy to 1 MGy for MTS
detectors. For both type of LiF detectors RPL signal is saturated for doses
higher than 100 kGy. The observed differences between MCP and MTS may suggest,
that the RPL effect in LiF is not entirely governed by intrinsic defects (F2
and F3+ centers), but impurities may also have a significant influence. Due to
the non-destructive character of the RPL measurement, it is suggested to apply
combined RPL/TL readouts, what should improve accuracy of high-dose dosimetry.
|
[
{
"created": "Fri, 24 Jan 2014 13:18:09 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Mrozik",
"Anna",
""
],
[
"Bilski",
"Paweł",
""
],
[
"Marczewska",
"Barbara",
""
],
[
"Obryk",
"Barbara",
""
],
[
"Hodyr",
"Krzysztof",
""
],
[
"Gieszczyk",
"Wojciech",
""
]
] |
[
0.023126259446144104,
-0.07576096802949905,
-0.0042925020679831505,
0.03742802515625954,
0.042686618864536285,
-0.042764510959386826,
0.06288497149944305,
0.061335716396570206,
-0.02724742703139782,
0.006802826654165983,
0.018913039937615395,
-0.01929103210568428,
0.1065584123134613,
0.03401164710521698,
0.018695218488574028,
0.046862129122018814,
0.0903201550245285,
0.02002686820924282,
-0.02091168612241745,
0.016341442242264748,
0.005039266310632229,
-0.06694083660840988,
-0.03785160183906555,
-0.0031045996583998203,
-0.07255356758832932,
0.011210216209292412,
-0.0009295862982980907,
-0.08646175265312195,
-0.0367182232439518,
0.008805504068732262,
0.01614462211728096,
0.05824800580739975,
0.022114347666502,
-0.03459891304373741,
0.04941055551171303,
0.0019545857794582844,
-0.026122283190488815,
-0.05351272225379944,
-0.09038424491882324,
-0.024017611518502235,
-0.034795764833688736,
-0.05059346556663513,
0.02412995509803295,
-0.013627017848193645,
0.00142207823228091,
-0.03643585741519928,
0.04922660067677498,
-0.10527060180902481,
-0.017569469287991524,
0.0013223070418462157,
0.1637536883354187,
0.07588084787130356,
-0.008025949820876122,
0.05144050344824791,
-0.03479951620101929,
-0.05038982629776001,
-0.057833727449178696,
-0.007122550625354052,
0.0015125212958082557,
0.027860939502716064,
-0.09781178832054138,
0.04780542105436325,
-0.0454820916056633,
-0.00015961989993229508,
0.052080318331718445,
0.038131341338157654,
0.00959940254688263,
-0.07973092794418335,
0.07859630137681961,
-0.02060523070394993,
0.0029433469753712416,
0.040668386965990067,
-0.0004494709719438106,
-0.07713255286216736,
-0.040064938366413116,
0.0624207966029644,
0.11461291462182999,
0.008020704612135887,
-0.02404695749282837,
0.017486264929175377,
-0.023832490667700768,
-0.002907399320974946,
0.05850829929113388,
-0.0368206761777401,
0.07823766022920609,
-0.0027614105492830276,
0.07538939267396927,
0.06570157408714294,
-0.06478306651115417,
0.012686931528151035,
0.0275733582675457,
0.0930604413151741,
-0.07893765717744827,
0.06270065903663635,
0.014031771570444107,
0.06408760696649551,
-0.043471809476614,
-0.0857783779501915,
-0.02747166156768799,
0.01197034027427435,
0.03940705955028534,
0.009742424823343754,
-0.05257473886013031,
0.04161781072616577,
-0.05388360470533371,
-0.046189021319150925,
-0.0112797562032938,
0.04496696963906288,
-0.07193171232938766,
0.0450887568295002,
0.12799611687660217,
0.03555232286453247,
0.062477391213178635,
0.007583633065223694,
0.0786532536149025,
0.025003790855407715,
-0.042741987854242325,
0.020559227094054222,
0.005850860849022865,
-0.08284156024456024,
0.0230723787099123,
-0.003021910088136792,
-0.02780621312558651,
-0.011235680431127548,
0.003040202194824815,
-0.033643320202827454,
0.00973950233310461,
4.308898337187916e-33,
-0.02721392549574375,
0.0694539025425911,
-0.010687434114515781,
-0.03266856074333191,
-0.07217919081449509,
-0.030095679685473442,
-0.038915883749723434,
0.00660808477550745,
-0.030662400647997856,
-0.038722485303878784,
0.045982759445905685,
0.06171339377760887,
0.004864704329520464,
-0.029243597760796547,
-0.028998201712965965,
0.03179812431335449,
0.06324877589941025,
0.03378116339445114,
0.024223456159234047,
0.04718104749917984,
-0.10594495385885239,
0.01279831025749445,
0.03917812928557396,
0.02241586707532406,
0.047549113631248474,
0.10589345544576645,
0.03969614580273628,
-0.019950902089476585,
-0.07645685970783234,
0.001284714788198471,
0.045534648001194,
-0.0022663241252303123,
-0.005135637708008289,
0.04223785176873207,
-0.018389659002423286,
0.008984395302832127,
-0.024440083652734756,
0.014737434685230255,
-0.012747542932629585,
-0.06461255997419357,
-0.008641744963824749,
0.06717899441719055,
-0.0023212810046970844,
0.07939890772104263,
0.020478297024965286,
-0.06008161976933479,
-0.06313268840312958,
-0.04977043718099594,
-0.025543635711073875,
0.014466672204434872,
-0.03600301593542099,
-0.06884174793958664,
-0.04826986417174339,
-0.02469969540834427,
0.026889203116297722,
0.046545062214136124,
-0.023833950981497765,
-0.017915811389684677,
0.0631437748670578,
0.021677222102880478,
0.04105747118592262,
0.03147180378437042,
0.10785937309265137,
0.05577709525823593,
0.03828692436218262,
0.008748193271458149,
-0.058426085859537125,
-0.026699958369135857,
0.012492302805185318,
-0.0155639061704278,
-0.02787150628864765,
-0.01915711723268032,
0.12443192303180695,
-0.06002171337604523,
0.07877808809280396,
-0.03797125071287155,
0.05059412866830826,
0.03257087245583534,
0.03768553584814072,
0.049822334200143814,
-0.03668753057718277,
-0.06529328972101212,
0.05192122235894203,
-0.0462978258728981,
-0.09001149982213974,
-0.0033656463492661715,
-0.046393249183893204,
0.026332611218094826,
-0.029583223164081573,
-0.03032609075307846,
0.08803350478410721,
-0.018749522045254707,
-0.011657239869236946,
-0.013310245238244534,
-0.08846668899059296,
-4.097506249343667e-33,
0.060916513204574585,
0.000699720811098814,
-0.02787722460925579,
0.0186629518866539,
-0.028918391093611717,
-0.052914947271347046,
0.04304992035031319,
-0.030394406989216805,
0.0478471964597702,
0.033085305243730545,
0.08570181578397751,
0.06736444681882858,
-0.10217853635549545,
-0.11604932695627213,
-0.028161456808447838,
-0.03610291704535484,
0.07058676332235336,
0.002166924299672246,
-0.035013116896152496,
-0.011983295902609825,
0.004988189321011305,
0.049122605472803116,
-0.017714928835630417,
-0.007419855799525976,
0.0038155652582645416,
-0.012343591079115868,
0.000049933241825783625,
-0.08761666715145111,
0.06007751449942589,
-0.05040222778916359,
-0.044369593262672424,
0.11281886696815491,
-0.017738504335284233,
0.020373309031128883,
0.09942369163036346,
-0.07817196846008301,
0.10581865906715393,
-0.028018729761242867,
-0.04978087916970253,
0.05948585644364357,
0.0002141603035852313,
0.11708413064479828,
-0.008481227792799473,
-0.09284549951553345,
-0.004427202977240086,
-0.03415596857666969,
0.04964786395430565,
-0.012699796818196774,
0.09980034083127975,
-0.020966986194252968,
-0.05545481666922569,
-0.027700938284397125,
-0.11478352546691895,
0.053332675248384476,
-0.008555815555155277,
0.01655190996825695,
-0.01990485191345215,
0.08234138041734695,
-0.01753866858780384,
-0.035841550678014755,
0.04881513863801956,
-0.03146281838417053,
0.0749809518456459,
-0.04715393856167793,
-0.07965265214443207,
0.03499384596943855,
0.008111582137644291,
0.10761578381061554,
0.031006883829832077,
0.032550107687711716,
0.0469856821000576,
-0.0010023072827607393,
0.08734124153852463,
-0.07685322314500809,
0.009894959628582,
-0.028227530419826508,
0.010558772832155228,
-0.0286343265324831,
-0.007133950479328632,
-0.049282047897577286,
0.024675678461790085,
0.006373515352606773,
-0.04529356583952904,
0.0036664085928350687,
0.030885908752679825,
-0.05380241572856903,
0.0000825448296382092,
-0.02728223241865635,
-0.0023154281079769135,
-0.13228076696395874,
0.02152019925415516,
-0.07907240092754364,
-0.03486689180135727,
0.013764124363660812,
0.06714244186878204,
-5.068771002925132e-8,
-0.07083294540643692,
0.037681225687265396,
-0.09348161518573761,
-0.04426107555627823,
0.006014551036059856,
-0.029574356973171234,
0.023774461820721626,
0.0325932577252388,
0.004732267931103706,
-0.01387383509427309,
0.016748277470469475,
-0.02330082096159458,
-0.051263801753520966,
-0.07245735824108124,
0.01066772174090147,
0.05640947446227074,
-0.06940709799528122,
-0.05273684114217758,
0.04633535072207451,
0.08837702870368958,
-0.036465518176555634,
-0.03930066153407097,
-0.0015961596509441733,
-0.03211905062198639,
-0.04113535210490227,
0.05022893100976944,
0.002550377044826746,
-0.03169316425919533,
0.05924370884895325,
-0.0013303764862939715,
0.022728336974978447,
-0.06526194512844086,
0.02994144894182682,
-0.01584904082119465,
0.07004205882549286,
0.015600008890032768,
-0.02241254784166813,
0.002267614472657442,
0.024176977574825287,
0.11291025578975677,
-0.0428926907479763,
-0.06920815259218216,
0.10421914607286453,
0.022701235488057137,
-0.10249482095241547,
-0.007669408340007067,
0.021699493750929832,
0.023064788430929184,
-0.046328917145729065,
0.06304733455181122,
0.03630271181464195,
0.02202477678656578,
-0.07182558625936508,
-0.1593991369009018,
-0.043947067111730576,
0.002335730940103531,
0.07883279770612717,
-0.07082594186067581,
-0.020358700305223465,
0.006597181782126427,
0.03659152239561081,
-0.05692598968744278,
-0.03981194272637367,
-0.04432884603738785
] | null | null | null | null | null | null | null |
[
0.023126259446144104,
-0.07576096802949905,
-0.0042925020679831505,
0.03742802515625954,
0.042686618864536285,
-0.042764510959386826,
0.06288497149944305,
0.061335716396570206,
-0.02724742703139782,
0.006802826654165983,
0.018913039937615395,
-0.01929103210568428,
0.1065584123134613,
0.03401164710521698,
0.018695218488574028,
0.046862129122018814,
0.0903201550245285,
0.02002686820924282,
-0.02091168612241745,
0.016341442242264748,
0.005039266310632229,
-0.06694083660840988,
-0.03785160183906555,
-0.0031045996583998203,
-0.07255356758832932,
0.011210216209292412,
-0.0009295862982980907,
-0.08646175265312195,
-0.0367182232439518,
0.008805504068732262,
0.01614462211728096,
0.05824800580739975,
0.022114347666502,
-0.03459891304373741,
0.04941055551171303,
0.0019545857794582844,
-0.026122283190488815,
-0.05351272225379944,
-0.09038424491882324,
-0.024017611518502235,
-0.034795764833688736,
-0.05059346556663513,
0.02412995509803295,
-0.013627017848193645,
0.00142207823228091,
-0.03643585741519928,
0.04922660067677498,
-0.10527060180902481,
-0.017569469287991524,
0.0013223070418462157,
0.1637536883354187,
0.07588084787130356,
-0.008025949820876122,
0.05144050344824791,
-0.03479951620101929,
-0.05038982629776001,
-0.057833727449178696,
-0.007122550625354052,
0.0015125212958082557,
0.027860939502716064,
-0.09781178832054138,
0.04780542105436325,
-0.0454820916056633,
-0.00015961989993229508,
0.052080318331718445,
0.038131341338157654,
0.00959940254688263,
-0.07973092794418335,
0.07859630137681961,
-0.02060523070394993,
0.0029433469753712416,
0.040668386965990067,
-0.0004494709719438106,
-0.07713255286216736,
-0.040064938366413116,
0.0624207966029644,
0.11461291462182999,
0.008020704612135887,
-0.02404695749282837,
0.017486264929175377,
-0.023832490667700768,
-0.002907399320974946,
0.05850829929113388,
-0.0368206761777401,
0.07823766022920609,
-0.0027614105492830276,
0.07538939267396927,
0.06570157408714294,
-0.06478306651115417,
0.012686931528151035,
0.0275733582675457,
0.0930604413151741,
-0.07893765717744827,
0.06270065903663635,
0.014031771570444107,
0.06408760696649551,
-0.043471809476614,
-0.0857783779501915,
-0.02747166156768799,
0.01197034027427435,
0.03940705955028534,
0.009742424823343754,
-0.05257473886013031,
0.04161781072616577,
-0.05388360470533371,
-0.046189021319150925,
-0.0112797562032938,
0.04496696963906288,
-0.07193171232938766,
0.0450887568295002,
0.12799611687660217,
0.03555232286453247,
0.062477391213178635,
0.007583633065223694,
0.0786532536149025,
0.025003790855407715,
-0.042741987854242325,
0.020559227094054222,
0.005850860849022865,
-0.08284156024456024,
0.0230723787099123,
-0.003021910088136792,
-0.02780621312558651,
-0.011235680431127548,
0.003040202194824815,
-0.033643320202827454,
0.00973950233310461,
4.308898337187916e-33,
-0.02721392549574375,
0.0694539025425911,
-0.010687434114515781,
-0.03266856074333191,
-0.07217919081449509,
-0.030095679685473442,
-0.038915883749723434,
0.00660808477550745,
-0.030662400647997856,
-0.038722485303878784,
0.045982759445905685,
0.06171339377760887,
0.004864704329520464,
-0.029243597760796547,
-0.028998201712965965,
0.03179812431335449,
0.06324877589941025,
0.03378116339445114,
0.024223456159234047,
0.04718104749917984,
-0.10594495385885239,
0.01279831025749445,
0.03917812928557396,
0.02241586707532406,
0.047549113631248474,
0.10589345544576645,
0.03969614580273628,
-0.019950902089476585,
-0.07645685970783234,
0.001284714788198471,
0.045534648001194,
-0.0022663241252303123,
-0.005135637708008289,
0.04223785176873207,
-0.018389659002423286,
0.008984395302832127,
-0.024440083652734756,
0.014737434685230255,
-0.012747542932629585,
-0.06461255997419357,
-0.008641744963824749,
0.06717899441719055,
-0.0023212810046970844,
0.07939890772104263,
0.020478297024965286,
-0.06008161976933479,
-0.06313268840312958,
-0.04977043718099594,
-0.025543635711073875,
0.014466672204434872,
-0.03600301593542099,
-0.06884174793958664,
-0.04826986417174339,
-0.02469969540834427,
0.026889203116297722,
0.046545062214136124,
-0.023833950981497765,
-0.017915811389684677,
0.0631437748670578,
0.021677222102880478,
0.04105747118592262,
0.03147180378437042,
0.10785937309265137,
0.05577709525823593,
0.03828692436218262,
0.008748193271458149,
-0.058426085859537125,
-0.026699958369135857,
0.012492302805185318,
-0.0155639061704278,
-0.02787150628864765,
-0.01915711723268032,
0.12443192303180695,
-0.06002171337604523,
0.07877808809280396,
-0.03797125071287155,
0.05059412866830826,
0.03257087245583534,
0.03768553584814072,
0.049822334200143814,
-0.03668753057718277,
-0.06529328972101212,
0.05192122235894203,
-0.0462978258728981,
-0.09001149982213974,
-0.0033656463492661715,
-0.046393249183893204,
0.026332611218094826,
-0.029583223164081573,
-0.03032609075307846,
0.08803350478410721,
-0.018749522045254707,
-0.011657239869236946,
-0.013310245238244534,
-0.08846668899059296,
-4.097506249343667e-33,
0.060916513204574585,
0.000699720811098814,
-0.02787722460925579,
0.0186629518866539,
-0.028918391093611717,
-0.052914947271347046,
0.04304992035031319,
-0.030394406989216805,
0.0478471964597702,
0.033085305243730545,
0.08570181578397751,
0.06736444681882858,
-0.10217853635549545,
-0.11604932695627213,
-0.028161456808447838,
-0.03610291704535484,
0.07058676332235336,
0.002166924299672246,
-0.035013116896152496,
-0.011983295902609825,
0.004988189321011305,
0.049122605472803116,
-0.017714928835630417,
-0.007419855799525976,
0.0038155652582645416,
-0.012343591079115868,
0.000049933241825783625,
-0.08761666715145111,
0.06007751449942589,
-0.05040222778916359,
-0.044369593262672424,
0.11281886696815491,
-0.017738504335284233,
0.020373309031128883,
0.09942369163036346,
-0.07817196846008301,
0.10581865906715393,
-0.028018729761242867,
-0.04978087916970253,
0.05948585644364357,
0.0002141603035852313,
0.11708413064479828,
-0.008481227792799473,
-0.09284549951553345,
-0.004427202977240086,
-0.03415596857666969,
0.04964786395430565,
-0.012699796818196774,
0.09980034083127975,
-0.020966986194252968,
-0.05545481666922569,
-0.027700938284397125,
-0.11478352546691895,
0.053332675248384476,
-0.008555815555155277,
0.01655190996825695,
-0.01990485191345215,
0.08234138041734695,
-0.01753866858780384,
-0.035841550678014755,
0.04881513863801956,
-0.03146281838417053,
0.0749809518456459,
-0.04715393856167793,
-0.07965265214443207,
0.03499384596943855,
0.008111582137644291,
0.10761578381061554,
0.031006883829832077,
0.032550107687711716,
0.0469856821000576,
-0.0010023072827607393,
0.08734124153852463,
-0.07685322314500809,
0.009894959628582,
-0.028227530419826508,
0.010558772832155228,
-0.0286343265324831,
-0.007133950479328632,
-0.049282047897577286,
0.024675678461790085,
0.006373515352606773,
-0.04529356583952904,
0.0036664085928350687,
0.030885908752679825,
-0.05380241572856903,
0.0000825448296382092,
-0.02728223241865635,
-0.0023154281079769135,
-0.13228076696395874,
0.02152019925415516,
-0.07907240092754364,
-0.03486689180135727,
0.013764124363660812,
0.06714244186878204,
-5.068771002925132e-8,
-0.07083294540643692,
0.037681225687265396,
-0.09348161518573761,
-0.04426107555627823,
0.006014551036059856,
-0.029574356973171234,
0.023774461820721626,
0.0325932577252388,
0.004732267931103706,
-0.01387383509427309,
0.016748277470469475,
-0.02330082096159458,
-0.051263801753520966,
-0.07245735824108124,
0.01066772174090147,
0.05640947446227074,
-0.06940709799528122,
-0.05273684114217758,
0.04633535072207451,
0.08837702870368958,
-0.036465518176555634,
-0.03930066153407097,
-0.0015961596509441733,
-0.03211905062198639,
-0.04113535210490227,
0.05022893100976944,
0.002550377044826746,
-0.03169316425919533,
0.05924370884895325,
-0.0013303764862939715,
0.022728336974978447,
-0.06526194512844086,
0.02994144894182682,
-0.01584904082119465,
0.07004205882549286,
0.015600008890032768,
-0.02241254784166813,
0.002267614472657442,
0.024176977574825287,
0.11291025578975677,
-0.0428926907479763,
-0.06920815259218216,
0.10421914607286453,
0.022701235488057137,
-0.10249482095241547,
-0.007669408340007067,
0.021699493750929832,
0.023064788430929184,
-0.046328917145729065,
0.06304733455181122,
0.03630271181464195,
0.02202477678656578,
-0.07182558625936508,
-0.1593991369009018,
-0.043947067111730576,
0.002335730940103531,
0.07883279770612717,
-0.07082594186067581,
-0.020358700305223465,
0.006597181782126427,
0.03659152239561081,
-0.05692598968744278,
-0.03981194272637367,
-0.04432884603738785
] |
1401.6335
|
Klas Markstr\"om
|
Klas Markstr\"om
|
From the Ising and Potts models to the general graph homomorphism
polynomial
|
V2. Extended version
| null | null | null |
math.CO cond-mat.stat-mech cs.DM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we study some of the properties of the generating polynomial for
homomorphisms from a graph to at complete weighted graph on $q$ vertices. We
discuss how this polynomial relates to a long list of other well known graph
polynomials and the partition functions for different spin models, many of
which are specialisations of the homomorphism polynomial.
We also identify the smallest graphs which are not determined by their
homomorphism polynomials for $q=2$ and $q=3$ and compare this with the
corresponding minimal examples for the $U$-polynomial, which generalizes the
well known Tutte-polynomal.
|
[
{
"created": "Fri, 24 Jan 2014 13:18:36 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 2015 19:33:12 GMT",
"version": "v2"
}
] |
2015-11-20
|
[
[
"Markström",
"Klas",
""
]
] |
[
-0.0947757288813591,
0.058469582349061966,
-0.007815886288881302,
0.00913831777870655,
-0.03340993821620941,
0.06402461975812912,
0.00042184878839179873,
-0.05113781988620758,
0.01631900854408741,
-0.005990317557007074,
0.01639813557267189,
0.009986107237637043,
0.025101695209741592,
0.0055131507106125355,
0.01632794551551342,
0.06586788594722748,
-0.0684824213385582,
0.035168953239917755,
0.03401326388120651,
-0.025046324357390404,
-0.007220718078315258,
-0.030680419877171516,
-0.050074316561222076,
-0.015124548226594925,
0.08501115441322327,
-0.07662462443113327,
-0.027220893651247025,
0.06121081858873367,
0.04238150641322136,
0.014953117817640305,
-0.0055703092366456985,
0.023183785378932953,
0.015353742986917496,
-0.04755769670009613,
-0.0035564221907407045,
0.06080713868141174,
-0.0011400602525100112,
-0.0004004306101705879,
0.08341210335493088,
0.01790345087647438,
0.10524587333202362,
0.013720689341425896,
0.04160170629620552,
0.1335659772157669,
-0.004636171739548445,
0.03625576198101044,
0.004834684543311596,
0.09145797789096832,
-0.09694212675094604,
-0.037874337285757065,
0.005933183245360851,
0.06861823052167892,
0.01209994126111269,
0.0010607460280880332,
-0.008885148912668228,
-0.11485601216554642,
0.04141781106591225,
-0.07434350252151489,
0.009934541769325733,
-0.03337690979242325,
0.04087350144982338,
-0.04600092023611069,
-0.018094565719366074,
0.024747209623456,
0.06146702170372009,
0.00899265706539154,
0.04030606150627136,
-0.10332795232534409,
0.01165447011590004,
0.08499563485383987,
0.037584338337183,
0.022972935810685158,
-0.11953385174274445,
0.004606490954756737,
-0.0012757787480950356,
0.017078569158911705,
0.036626409739255905,
-0.022440481930971146,
-0.12866340577602386,
-0.028753066435456276,
-0.0575743094086647,
-0.034611526876688004,
0.022876916453242302,
-0.045857205986976624,
0.025957684963941574,
0.013924292288720608,
-0.07568646967411041,
0.006044579204171896,
0.012400247156620026,
0.10333789139986038,
-0.12204214930534363,
0.09313157200813293,
-0.02444520778954029,
-0.001243460108526051,
-0.05500657483935356,
0.006566289346665144,
0.023132240399718285,
0.07218042761087418,
-0.029270140454173088,
0.0452621765434742,
0.020979123190045357,
-0.009189711883664131,
0.060022007673978806,
-0.06464986503124237,
-0.004087722394615412,
0.06671859323978424,
-0.04211472347378731,
-0.02349534071981907,
-0.10794102400541306,
-0.003977811895310879,
-0.062498290091753006,
-0.01875268667936325,
0.030636221170425415,
0.05484341084957123,
-0.05047164484858513,
-0.045806679874658585,
0.032320186495780945,
-0.018026787787675858,
0.03779592365026474,
0.0575018934905529,
0.03429416939616203,
0.06513360142707825,
-0.0373329222202301,
-0.04128989949822426,
-0.007666333112865686,
-0.06323547661304474,
-0.10424623638391495,
7.444878102590909e-35,
0.11955991387367249,
0.05575450137257576,
0.06058960780501366,
-0.022601895034313202,
0.06695124506950378,
0.06364148110151291,
0.006855076178908348,
-0.08839919418096542,
-0.04764317348599434,
0.02740849182009697,
-0.045341216027736664,
0.031596336513757706,
0.06551677733659744,
-0.026308739557862282,
0.02125564031302929,
0.014584514312446117,
0.04013632982969284,
-0.031718187034130096,
0.04277808964252472,
-0.0738016739487648,
0.03766881674528122,
0.04763057827949524,
-0.04096326231956482,
0.136941060423851,
0.016160691156983376,
0.014398901723325253,
0.043183039873838425,
-0.004943286534398794,
-0.04590539634227753,
-0.0004035170131828636,
-0.09072129428386688,
0.005695009138435125,
0.019745610654354095,
0.05581635981798172,
-0.026549512520432472,
0.0029607873875647783,
-0.028239784762263298,
-0.05696913227438927,
0.02182420901954174,
-0.08023743331432343,
0.05778959393501282,
-0.010905144736170769,
0.06937871128320694,
-0.056349437683820724,
-0.062186453491449356,
0.03282831236720085,
0.00694084819406271,
-0.02947927452623844,
-0.00418529286980629,
0.01993541419506073,
-0.03561142459511757,
-0.0486704558134079,
-0.054218705743551254,
0.01620403490960598,
-0.013281875289976597,
-0.032530203461647034,
0.011228338815271854,
0.09280780702829361,
-0.05523265153169632,
0.03575710952281952,
-0.052712347358465195,
0.00959519948810339,
-0.034532330930233,
-0.0449116975069046,
-0.007484413683414459,
-0.04708809778094292,
0.04525455832481384,
-0.09087374806404114,
0.03351679444313049,
-0.005112140439450741,
0.0033792743925005198,
0.04710070788860321,
-0.014558699913322926,
-0.011670040898025036,
0.04551469534635544,
-0.009344811551272869,
-0.09362361580133438,
-0.13815827667713165,
-0.015780316665768623,
0.010549846105277538,
-0.0714021697640419,
-0.08100082725286484,
-0.009821689687669277,
-0.08789903670549393,
-0.01911008544266224,
-0.10053243488073349,
-0.00835037138313055,
0.03257467970252037,
0.03724111616611481,
-0.03286723047494888,
-0.032497089356184006,
-0.03680630773305893,
-0.01790705882012844,
-0.003160943044349551,
0.05451131984591484,
-1.9457923091672785e-33,
-0.07711274921894073,
-0.057744964957237244,
0.1100073829293251,
0.08227920532226562,
-0.03685513883829117,
0.010271514765918255,
0.014320595189929008,
0.028221752494573593,
-0.07308251410722733,
0.019121207296848297,
0.05239018425345421,
-0.0326298326253891,
0.060390688478946686,
0.047635678201913834,
0.049109913408756256,
0.010397410951554775,
0.03907435014843941,
-0.010646138340234756,
0.019989946857094765,
0.008725645951926708,
0.0276861060410738,
0.10665231943130493,
-0.09642379730939865,
0.02394079603254795,
0.0624115876853466,
0.03050689958035946,
-0.02638283558189869,
0.014495412819087505,
0.031966134905815125,
0.09308547526597977,
-0.026772161945700645,
-0.08642911911010742,
-0.07059211283922195,
0.05612518638372421,
0.02091115526854992,
0.04510203376412392,
0.03629615530371666,
0.005868913140147924,
0.05209299921989441,
0.10049305856227875,
-0.073421910405159,
-0.05924059823155403,
0.08462535589933395,
0.022298546507954597,
0.02721293270587921,
0.031046062707901,
-0.02193669229745865,
0.04025490581989288,
-0.10852853953838348,
-0.044508449733257294,
-0.030148951336741447,
0.07933451980352402,
-0.0060540130361914635,
0.029453644528985023,
-0.04532843455672264,
-0.0200902558863163,
0.020597273483872414,
0.010690170340240002,
0.011540677398443222,
-0.08022861182689667,
0.00024255132302641869,
-0.012054196558892727,
-0.03705206885933876,
0.004800674971193075,
-0.058833591639995575,
-0.05260539427399635,
-0.029173148795962334,
-0.09953396022319794,
0.021679656580090523,
0.08843736350536346,
-0.04117410629987717,
-0.006262244191020727,
0.01901993900537491,
0.0005188073264434934,
-0.02387375384569168,
0.006536597386002541,
0.019446153193712234,
0.08496004343032837,
0.0006112140254117548,
-0.014807470142841339,
-0.034161124378442764,
0.02265220321714878,
0.024151360616087914,
0.03318178281188011,
0.03285400569438934,
-0.1291496306657791,
0.02974025532603264,
0.022519003599882126,
0.04353994503617287,
-0.020448189228773117,
0.010124269872903824,
0.03738980367779732,
-0.007747644558548927,
0.09708216786384583,
0.030137185007333755,
-4.2074809414316405e-8,
-0.0592961311340332,
-0.028441620990633965,
-0.02237039990723133,
-0.026446908712387085,
0.06373322010040283,
-0.027783382683992386,
0.08637921512126923,
0.045095693320035934,
0.0050084227696061134,
0.10524101555347443,
0.0424581803381443,
0.00044335026177577674,
0.031892016530036926,
-0.009508016519248486,
0.03267700970172882,
-0.007441889960318804,
0.04123404622077942,
0.042992789298295975,
0.010133162140846252,
-0.10737113654613495,
-0.03236972168087959,
-0.04602861776947975,
-0.12318888306617737,
0.04614315181970596,
-0.053283099085092545,
-0.009216831997036934,
-0.03311272710561752,
-0.126505509018898,
-0.04615147039294243,
0.06724619120359421,
0.027009867131710052,
-0.027711648494005203,
0.04532080516219139,
-0.00698477728292346,
-0.01412283070385456,
0.08173524588346481,
0.0053316401317715645,
-0.051846493035554886,
0.03995215892791748,
0.0679977685213089,
-0.0016739366110414267,
-0.05056232959032059,
-0.05729411914944649,
0.03322757035493851,
-0.009418904781341553,
-0.054975301027297974,
-0.0031160153448581696,
-0.0037797752302139997,
-0.08169648796319962,
0.023660652339458466,
-0.012623968534171581,
0.025760160759091377,
-0.03391909599304199,
-0.09788347780704498,
-0.03986836224794388,
0.08350174874067307,
0.044577375054359436,
-0.05271497368812561,
0.06305966526269913,
-0.028166914358735085,
-0.03460755571722984,
0.011097046546638012,
0.047956012189388275,
0.011713569983839989
] | null | null | null | null | null | null | null |
[
-0.0947757288813591,
0.058469582349061966,
-0.007815886288881302,
0.00913831777870655,
-0.03340993821620941,
0.06402461975812912,
0.00042184878839179873,
-0.05113781988620758,
0.01631900854408741,
-0.005990317557007074,
0.01639813557267189,
0.009986107237637043,
0.025101695209741592,
0.0055131507106125355,
0.01632794551551342,
0.06586788594722748,
-0.0684824213385582,
0.035168953239917755,
0.03401326388120651,
-0.025046324357390404,
-0.007220718078315258,
-0.030680419877171516,
-0.050074316561222076,
-0.015124548226594925,
0.08501115441322327,
-0.07662462443113327,
-0.027220893651247025,
0.06121081858873367,
0.04238150641322136,
0.014953117817640305,
-0.0055703092366456985,
0.023183785378932953,
0.015353742986917496,
-0.04755769670009613,
-0.0035564221907407045,
0.06080713868141174,
-0.0011400602525100112,
-0.0004004306101705879,
0.08341210335493088,
0.01790345087647438,
0.10524587333202362,
0.013720689341425896,
0.04160170629620552,
0.1335659772157669,
-0.004636171739548445,
0.03625576198101044,
0.004834684543311596,
0.09145797789096832,
-0.09694212675094604,
-0.037874337285757065,
0.005933183245360851,
0.06861823052167892,
0.01209994126111269,
0.0010607460280880332,
-0.008885148912668228,
-0.11485601216554642,
0.04141781106591225,
-0.07434350252151489,
0.009934541769325733,
-0.03337690979242325,
0.04087350144982338,
-0.04600092023611069,
-0.018094565719366074,
0.024747209623456,
0.06146702170372009,
0.00899265706539154,
0.04030606150627136,
-0.10332795232534409,
0.01165447011590004,
0.08499563485383987,
0.037584338337183,
0.022972935810685158,
-0.11953385174274445,
0.004606490954756737,
-0.0012757787480950356,
0.017078569158911705,
0.036626409739255905,
-0.022440481930971146,
-0.12866340577602386,
-0.028753066435456276,
-0.0575743094086647,
-0.034611526876688004,
0.022876916453242302,
-0.045857205986976624,
0.025957684963941574,
0.013924292288720608,
-0.07568646967411041,
0.006044579204171896,
0.012400247156620026,
0.10333789139986038,
-0.12204214930534363,
0.09313157200813293,
-0.02444520778954029,
-0.001243460108526051,
-0.05500657483935356,
0.006566289346665144,
0.023132240399718285,
0.07218042761087418,
-0.029270140454173088,
0.0452621765434742,
0.020979123190045357,
-0.009189711883664131,
0.060022007673978806,
-0.06464986503124237,
-0.004087722394615412,
0.06671859323978424,
-0.04211472347378731,
-0.02349534071981907,
-0.10794102400541306,
-0.003977811895310879,
-0.062498290091753006,
-0.01875268667936325,
0.030636221170425415,
0.05484341084957123,
-0.05047164484858513,
-0.045806679874658585,
0.032320186495780945,
-0.018026787787675858,
0.03779592365026474,
0.0575018934905529,
0.03429416939616203,
0.06513360142707825,
-0.0373329222202301,
-0.04128989949822426,
-0.007666333112865686,
-0.06323547661304474,
-0.10424623638391495,
7.444878102590909e-35,
0.11955991387367249,
0.05575450137257576,
0.06058960780501366,
-0.022601895034313202,
0.06695124506950378,
0.06364148110151291,
0.006855076178908348,
-0.08839919418096542,
-0.04764317348599434,
0.02740849182009697,
-0.045341216027736664,
0.031596336513757706,
0.06551677733659744,
-0.026308739557862282,
0.02125564031302929,
0.014584514312446117,
0.04013632982969284,
-0.031718187034130096,
0.04277808964252472,
-0.0738016739487648,
0.03766881674528122,
0.04763057827949524,
-0.04096326231956482,
0.136941060423851,
0.016160691156983376,
0.014398901723325253,
0.043183039873838425,
-0.004943286534398794,
-0.04590539634227753,
-0.0004035170131828636,
-0.09072129428386688,
0.005695009138435125,
0.019745610654354095,
0.05581635981798172,
-0.026549512520432472,
0.0029607873875647783,
-0.028239784762263298,
-0.05696913227438927,
0.02182420901954174,
-0.08023743331432343,
0.05778959393501282,
-0.010905144736170769,
0.06937871128320694,
-0.056349437683820724,
-0.062186453491449356,
0.03282831236720085,
0.00694084819406271,
-0.02947927452623844,
-0.00418529286980629,
0.01993541419506073,
-0.03561142459511757,
-0.0486704558134079,
-0.054218705743551254,
0.01620403490960598,
-0.013281875289976597,
-0.032530203461647034,
0.011228338815271854,
0.09280780702829361,
-0.05523265153169632,
0.03575710952281952,
-0.052712347358465195,
0.00959519948810339,
-0.034532330930233,
-0.0449116975069046,
-0.007484413683414459,
-0.04708809778094292,
0.04525455832481384,
-0.09087374806404114,
0.03351679444313049,
-0.005112140439450741,
0.0033792743925005198,
0.04710070788860321,
-0.014558699913322926,
-0.011670040898025036,
0.04551469534635544,
-0.009344811551272869,
-0.09362361580133438,
-0.13815827667713165,
-0.015780316665768623,
0.010549846105277538,
-0.0714021697640419,
-0.08100082725286484,
-0.009821689687669277,
-0.08789903670549393,
-0.01911008544266224,
-0.10053243488073349,
-0.00835037138313055,
0.03257467970252037,
0.03724111616611481,
-0.03286723047494888,
-0.032497089356184006,
-0.03680630773305893,
-0.01790705882012844,
-0.003160943044349551,
0.05451131984591484,
-1.9457923091672785e-33,
-0.07711274921894073,
-0.057744964957237244,
0.1100073829293251,
0.08227920532226562,
-0.03685513883829117,
0.010271514765918255,
0.014320595189929008,
0.028221752494573593,
-0.07308251410722733,
0.019121207296848297,
0.05239018425345421,
-0.0326298326253891,
0.060390688478946686,
0.047635678201913834,
0.049109913408756256,
0.010397410951554775,
0.03907435014843941,
-0.010646138340234756,
0.019989946857094765,
0.008725645951926708,
0.0276861060410738,
0.10665231943130493,
-0.09642379730939865,
0.02394079603254795,
0.0624115876853466,
0.03050689958035946,
-0.02638283558189869,
0.014495412819087505,
0.031966134905815125,
0.09308547526597977,
-0.026772161945700645,
-0.08642911911010742,
-0.07059211283922195,
0.05612518638372421,
0.02091115526854992,
0.04510203376412392,
0.03629615530371666,
0.005868913140147924,
0.05209299921989441,
0.10049305856227875,
-0.073421910405159,
-0.05924059823155403,
0.08462535589933395,
0.022298546507954597,
0.02721293270587921,
0.031046062707901,
-0.02193669229745865,
0.04025490581989288,
-0.10852853953838348,
-0.044508449733257294,
-0.030148951336741447,
0.07933451980352402,
-0.0060540130361914635,
0.029453644528985023,
-0.04532843455672264,
-0.0200902558863163,
0.020597273483872414,
0.010690170340240002,
0.011540677398443222,
-0.08022861182689667,
0.00024255132302641869,
-0.012054196558892727,
-0.03705206885933876,
0.004800674971193075,
-0.058833591639995575,
-0.05260539427399635,
-0.029173148795962334,
-0.09953396022319794,
0.021679656580090523,
0.08843736350536346,
-0.04117410629987717,
-0.006262244191020727,
0.01901993900537491,
0.0005188073264434934,
-0.02387375384569168,
0.006536597386002541,
0.019446153193712234,
0.08496004343032837,
0.0006112140254117548,
-0.014807470142841339,
-0.034161124378442764,
0.02265220321714878,
0.024151360616087914,
0.03318178281188011,
0.03285400569438934,
-0.1291496306657791,
0.02974025532603264,
0.022519003599882126,
0.04353994503617287,
-0.020448189228773117,
0.010124269872903824,
0.03738980367779732,
-0.007747644558548927,
0.09708216786384583,
0.030137185007333755,
-4.2074809414316405e-8,
-0.0592961311340332,
-0.028441620990633965,
-0.02237039990723133,
-0.026446908712387085,
0.06373322010040283,
-0.027783382683992386,
0.08637921512126923,
0.045095693320035934,
0.0050084227696061134,
0.10524101555347443,
0.0424581803381443,
0.00044335026177577674,
0.031892016530036926,
-0.009508016519248486,
0.03267700970172882,
-0.007441889960318804,
0.04123404622077942,
0.042992789298295975,
0.010133162140846252,
-0.10737113654613495,
-0.03236972168087959,
-0.04602861776947975,
-0.12318888306617737,
0.04614315181970596,
-0.053283099085092545,
-0.009216831997036934,
-0.03311272710561752,
-0.126505509018898,
-0.04615147039294243,
0.06724619120359421,
0.027009867131710052,
-0.027711648494005203,
0.04532080516219139,
-0.00698477728292346,
-0.01412283070385456,
0.08173524588346481,
0.0053316401317715645,
-0.051846493035554886,
0.03995215892791748,
0.0679977685213089,
-0.0016739366110414267,
-0.05056232959032059,
-0.05729411914944649,
0.03322757035493851,
-0.009418904781341553,
-0.054975301027297974,
-0.0031160153448581696,
-0.0037797752302139997,
-0.08169648796319962,
0.023660652339458466,
-0.012623968534171581,
0.025760160759091377,
-0.03391909599304199,
-0.09788347780704498,
-0.03986836224794388,
0.08350174874067307,
0.044577375054359436,
-0.05271497368812561,
0.06305966526269913,
-0.028166914358735085,
-0.03460755571722984,
0.011097046546638012,
0.047956012189388275,
0.011713569983839989
] |
1401.6336
|
Jean-Marc Kelif
|
Jean-Marc Kelif, Stephane Senecal, Constant Bridon, Marceau Coupechoux
|
A Fluid Approach for Poisson Wireless Networks
|
6 pages, 7 figures
| null | null | null |
cs.IT cs.NI math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Among the different models of networks usually considered, the hexagonal
network model is the most popular. However, it requires extensive numerical
computations. The Poisson network model, for which the base stations (BS)
locations form a spatial Poisson process, allows to consider a non constant
distance between base stations. Therefore, it may characterize more
realistically operational networks. The Fluid network model, for which the
interfering BS are replaced by a continuum of infinitesimal interferers, allows
to establish closed-form formula for the SINR (Signal on Interference plus
Noise Ratio). This model was validated by comparison with an hexagonal network.
The two models establish very close results. As a consequence, the Fluid
network model can be used to analyze hexagonal networks. In this paper, we show
that the Fluid network model can also be used to analyze Poisson networks.
Therefore, the analysis of performance and quality of service becomes very
easy, whatever the type of network model, by using the analytical expression of
the SINR established by considering the Fluid network model.
|
[
{
"created": "Fri, 24 Jan 2014 13:25:03 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Kelif",
"Jean-Marc",
""
],
[
"Senecal",
"Stephane",
""
],
[
"Bridon",
"Constant",
""
],
[
"Coupechoux",
"Marceau",
""
]
] |
[
0.015065903775393963,
-0.0507894903421402,
-0.016205765306949615,
-0.05159739777445793,
-0.04040290415287018,
-0.015292513184249401,
0.019329264760017395,
-0.016164543107151985,
0.06995737552642822,
-0.05287148803472519,
-0.006181689444929361,
0.10025149583816528,
0.04073786363005638,
0.018577653914690018,
0.028062323108315468,
-0.06792650371789932,
0.03541484475135803,
-0.06885668635368347,
-0.000877810874953866,
-0.058197636157274246,
0.06454844027757645,
-0.053216058760881424,
-0.12902066111564636,
-0.10610482096672058,
-0.014123973436653614,
0.030217036604881287,
0.06656893342733383,
-0.0032515977509319782,
0.025104057043790817,
-0.061300911009311676,
0.022781725972890854,
0.0018455191748216748,
0.018747257068753242,
-0.10752961039543152,
-0.04221133142709732,
-0.08276573568582535,
-0.003733307123184204,
0.01149066723883152,
0.054902952164411545,
0.1099540963768959,
0.06593049317598343,
0.036659494042396545,
0.05640081316232681,
0.0024213239084929228,
-0.014113117940723896,
-0.11155509948730469,
0.024683676660060883,
0.03902171924710274,
0.006711271125823259,
-0.06907221674919128,
0.038131218403577805,
-0.03762798011302948,
-0.008244464173913002,
-0.02407972142100334,
0.11485275626182556,
-0.1064685508608818,
-0.03079616278409958,
-0.055114854127168655,
-0.005424797534942627,
0.046184346079826355,
0.09017521142959595,
0.022524923086166382,
-0.04516996815800667,
0.018601534888148308,
-0.021393995732069016,
0.028556477278470993,
-0.008457274176180363,
0.05668066442012787,
-0.0043211099691689014,
0.005717370193451643,
-0.053963061422109604,
0.008339440450072289,
-0.08252039551734924,
-0.012162190861999989,
0.04920731857419014,
0.05359259620308876,
-0.005035839043557644,
0.06590825319290161,
-0.0009954426204785705,
-0.008363611996173859,
-0.03447987139225006,
0.011552718468010426,
0.01218398567289114,
-0.04831312969326973,
-0.022984934970736504,
0.03755767643451691,
-0.02074264921247959,
-0.0063644396141171455,
0.04153643548488617,
0.020887328311800957,
-0.07041293382644653,
0.09128303825855255,
0.028170019388198853,
-0.02392856404185295,
0.0399201326072216,
0.07892715185880661,
-0.0055946302600204945,
0.011110405437648296,
0.04904235526919365,
0.059353265911340714,
0.04386712983250618,
-0.06496366113424301,
0.046098336577415466,
-0.002481290837749839,
0.07897918671369553,
0.04582937806844711,
0.026998979970812798,
0.08741287142038345,
0.053494129329919815,
0.009679421782493591,
-0.05120137706398964,
0.028929028660058975,
-0.10230259597301483,
-0.0198767501860857,
-0.060173045843839645,
-0.029239097610116005,
0.04924341291189194,
-0.009921814315021038,
0.10550364851951599,
0.033710841089487076,
0.03435579314827919,
0.007112607825547457,
-0.003683476010337472,
0.030705170705914497,
0.07519231736660004,
-0.04690958186984062,
-0.04235989227890968,
-4.6841762403026254e-35,
-0.09679926931858063,
-0.03174972906708717,
0.015274840407073498,
0.003034222638234496,
0.0711689293384552,
-0.018713556230068207,
-0.07017926126718521,
-0.03822428360581398,
0.14025187492370605,
0.031029490754008293,
-0.14922720193862915,
0.08107194304466248,
-0.01568710058927536,
-0.06109460070729256,
0.033272385597229004,
-0.040101058781147,
0.0761290192604065,
-0.09257712215185165,
0.03495104983448982,
-0.03163226321339607,
0.05980360507965088,
-0.11772305518388748,
-0.030842818319797516,
0.04003031551837921,
0.00007832857954781502,
0.011348070576786995,
0.004663018975406885,
-0.046195633709430695,
0.028356624767184258,
0.029485393315553665,
0.014793709851801395,
0.05148165673017502,
0.09783060848712921,
0.0951918438076973,
-0.03593875840306282,
0.03557216003537178,
0.007357205264270306,
-0.020134441554546356,
0.0016761868027970195,
-0.02461371198296547,
-0.011309840716421604,
-0.03893319144845009,
-0.030807210132479668,
0.002642993349581957,
-0.012764516286551952,
-0.03873974829912186,
0.04075450450181961,
-0.004893102217465639,
0.027798010036349297,
-0.03412448614835739,
0.01320287398993969,
0.04828305169939995,
-0.021733229979872704,
0.054779890924692154,
-0.0033179239835590124,
0.055785372853279114,
0.04574822634458542,
0.09047155827283859,
0.054729096591472626,
0.12046657502651215,
-0.02478329837322235,
-0.020698728039860725,
0.0068107228726148605,
0.04284272715449333,
0.1236112043261528,
0.005595867522060871,
0.004820472560822964,
-0.019787559285759926,
0.052877385169267654,
-0.06766043603420258,
0.031068945303559303,
-0.03646770492196083,
-0.0014791939174756408,
0.018569061532616615,
-0.012924754060804844,
-0.05723799020051956,
-0.16319815814495087,
-0.003381977789103985,
-0.0012260143412277102,
0.10007170587778091,
-0.03129445016384125,
-0.052813246846199036,
-0.07085100561380386,
-0.06559433788061142,
-0.042534239590168,
-0.0077006760984659195,
0.06339025497436523,
0.04749216511845589,
-0.06911866366863251,
0.0031000105664134026,
-0.03543762490153313,
0.0460822619497776,
0.04104217141866684,
-0.010860233567655087,
0.053123846650123596,
-2.2589763303209835e-33,
-0.06381519138813019,
0.04845122620463371,
0.014911139383912086,
-0.03412536531686783,
-0.016957905143499374,
0.02673947438597679,
0.07850269228219986,
0.053737130016088486,
-0.011842401698231697,
0.0034073698334395885,
-0.041569408029317856,
0.02628646418452263,
0.009995216503739357,
-0.024910535663366318,
-0.0036521567963063717,
-0.03793828561902046,
0.003098763059824705,
-0.020037485286593437,
-0.08074721693992615,
-0.023790579289197922,
-0.09810422360897064,
-0.042345136404037476,
-0.016784047707915306,
-0.049709100276231766,
0.004955187905579805,
-0.008249294012784958,
-0.024476051330566406,
-0.02884626016020775,
-0.02831215411424637,
0.0950058326125145,
-0.06313558667898178,
0.03987952321767807,
0.054219186305999756,
0.012876272201538086,
0.08778403699398041,
0.046662166714668274,
0.04112863168120384,
0.05553288757801056,
0.047962069511413574,
-0.11423296481370926,
0.024361401796340942,
-0.08985040336847305,
-0.03939800709486008,
-0.01910899579524994,
0.01905904896557331,
0.07085961103439331,
-0.04100421816110611,
-0.012692633084952831,
-0.08992345631122589,
-0.025436634197831154,
-0.03356045484542847,
0.06057746335864067,
-0.015787331387400627,
0.0665055513381958,
0.008929369039833546,
0.02217918634414673,
0.023309556767344475,
-0.0055885473266243935,
0.041923001408576965,
0.004255575127899647,
0.0179317444562912,
-0.07492417097091675,
-0.028286918997764587,
0.08682827651500702,
-0.009402933530509472,
0.02680160105228424,
-0.03313297778367996,
-0.01883663237094879,
0.005286732222884893,
0.026417972519993782,
-0.0696595311164856,
0.024461500346660614,
-0.003612054046243429,
0.03527388349175453,
-0.06124076247215271,
-0.03635386750102043,
0.027461210265755653,
-0.015613888390362263,
-0.056275829672813416,
0.03599202632904053,
-0.10207665711641312,
0.05566244572401047,
-0.08233575522899628,
-0.061422307044267654,
0.0032219102140516043,
-0.06183416768908501,
0.13681994378566742,
-0.024231847375631332,
-0.006663809064775705,
0.01628970354795456,
0.0058408817276358604,
0.05870663747191429,
-0.06765341758728027,
-0.015417317859828472,
-0.01281849853694439,
-4.367947781247494e-8,
-0.10709914565086365,
-0.010793881490826607,
-0.006519550923258066,
-0.07061101496219635,
0.02851414866745472,
0.00030129472725093365,
0.006406320258975029,
-0.06624764204025269,
-0.019203191623091698,
0.020040476694703102,
0.04099886864423752,
-0.0561801940202713,
-0.03437003493309021,
-0.016606967896223068,
-0.034194860607385635,
0.01583780348300934,
0.05102581903338432,
-0.005560810677707195,
0.0397077351808548,
-0.04729762673377991,
-0.00969639327377081,
0.03315918147563934,
0.028820959851145744,
0.05818495154380798,
0.04470445588231087,
0.032740600407123566,
-0.02872467041015625,
-0.048032112419605255,
0.07900535315275192,
0.010843852534890175,
-0.02636294811964035,
0.003930771257728338,
-0.003900013165548444,
0.06271058320999146,
-0.04718466475605965,
0.0921325609087944,
0.059871986508369446,
-0.029893998056650162,
0.012716167606413364,
0.05003076419234276,
-0.01103546004742384,
-0.060838282108306885,
0.020141709595918655,
0.0060954042710363865,
0.1275370866060257,
0.0355498343706131,
-0.04586293548345566,
0.033372800797224045,
0.016255350783467293,
-0.06372500211000443,
-0.042193517088890076,
0.09888114780187607,
-0.07466316223144531,
-0.0734320804476738,
-0.029785392805933952,
-0.06133248656988144,
-0.018254008144140244,
-0.0349075123667717,
-0.006488048005849123,
0.023315304890275,
-0.09043540805578232,
0.050920601934194565,
-0.06543779373168945,
-0.03518923744559288
] | null | null | null | null | null | null | null |
[
0.015065903775393963,
-0.0507894903421402,
-0.016205765306949615,
-0.05159739777445793,
-0.04040290415287018,
-0.015292513184249401,
0.019329264760017395,
-0.016164543107151985,
0.06995737552642822,
-0.05287148803472519,
-0.006181689444929361,
0.10025149583816528,
0.04073786363005638,
0.018577653914690018,
0.028062323108315468,
-0.06792650371789932,
0.03541484475135803,
-0.06885668635368347,
-0.000877810874953866,
-0.058197636157274246,
0.06454844027757645,
-0.053216058760881424,
-0.12902066111564636,
-0.10610482096672058,
-0.014123973436653614,
0.030217036604881287,
0.06656893342733383,
-0.0032515977509319782,
0.025104057043790817,
-0.061300911009311676,
0.022781725972890854,
0.0018455191748216748,
0.018747257068753242,
-0.10752961039543152,
-0.04221133142709732,
-0.08276573568582535,
-0.003733307123184204,
0.01149066723883152,
0.054902952164411545,
0.1099540963768959,
0.06593049317598343,
0.036659494042396545,
0.05640081316232681,
0.0024213239084929228,
-0.014113117940723896,
-0.11155509948730469,
0.024683676660060883,
0.03902171924710274,
0.006711271125823259,
-0.06907221674919128,
0.038131218403577805,
-0.03762798011302948,
-0.008244464173913002,
-0.02407972142100334,
0.11485275626182556,
-0.1064685508608818,
-0.03079616278409958,
-0.055114854127168655,
-0.005424797534942627,
0.046184346079826355,
0.09017521142959595,
0.022524923086166382,
-0.04516996815800667,
0.018601534888148308,
-0.021393995732069016,
0.028556477278470993,
-0.008457274176180363,
0.05668066442012787,
-0.0043211099691689014,
0.005717370193451643,
-0.053963061422109604,
0.008339440450072289,
-0.08252039551734924,
-0.012162190861999989,
0.04920731857419014,
0.05359259620308876,
-0.005035839043557644,
0.06590825319290161,
-0.0009954426204785705,
-0.008363611996173859,
-0.03447987139225006,
0.011552718468010426,
0.01218398567289114,
-0.04831312969326973,
-0.022984934970736504,
0.03755767643451691,
-0.02074264921247959,
-0.0063644396141171455,
0.04153643548488617,
0.020887328311800957,
-0.07041293382644653,
0.09128303825855255,
0.028170019388198853,
-0.02392856404185295,
0.0399201326072216,
0.07892715185880661,
-0.0055946302600204945,
0.011110405437648296,
0.04904235526919365,
0.059353265911340714,
0.04386712983250618,
-0.06496366113424301,
0.046098336577415466,
-0.002481290837749839,
0.07897918671369553,
0.04582937806844711,
0.026998979970812798,
0.08741287142038345,
0.053494129329919815,
0.009679421782493591,
-0.05120137706398964,
0.028929028660058975,
-0.10230259597301483,
-0.0198767501860857,
-0.060173045843839645,
-0.029239097610116005,
0.04924341291189194,
-0.009921814315021038,
0.10550364851951599,
0.033710841089487076,
0.03435579314827919,
0.007112607825547457,
-0.003683476010337472,
0.030705170705914497,
0.07519231736660004,
-0.04690958186984062,
-0.04235989227890968,
-4.6841762403026254e-35,
-0.09679926931858063,
-0.03174972906708717,
0.015274840407073498,
0.003034222638234496,
0.0711689293384552,
-0.018713556230068207,
-0.07017926126718521,
-0.03822428360581398,
0.14025187492370605,
0.031029490754008293,
-0.14922720193862915,
0.08107194304466248,
-0.01568710058927536,
-0.06109460070729256,
0.033272385597229004,
-0.040101058781147,
0.0761290192604065,
-0.09257712215185165,
0.03495104983448982,
-0.03163226321339607,
0.05980360507965088,
-0.11772305518388748,
-0.030842818319797516,
0.04003031551837921,
0.00007832857954781502,
0.011348070576786995,
0.004663018975406885,
-0.046195633709430695,
0.028356624767184258,
0.029485393315553665,
0.014793709851801395,
0.05148165673017502,
0.09783060848712921,
0.0951918438076973,
-0.03593875840306282,
0.03557216003537178,
0.007357205264270306,
-0.020134441554546356,
0.0016761868027970195,
-0.02461371198296547,
-0.011309840716421604,
-0.03893319144845009,
-0.030807210132479668,
0.002642993349581957,
-0.012764516286551952,
-0.03873974829912186,
0.04075450450181961,
-0.004893102217465639,
0.027798010036349297,
-0.03412448614835739,
0.01320287398993969,
0.04828305169939995,
-0.021733229979872704,
0.054779890924692154,
-0.0033179239835590124,
0.055785372853279114,
0.04574822634458542,
0.09047155827283859,
0.054729096591472626,
0.12046657502651215,
-0.02478329837322235,
-0.020698728039860725,
0.0068107228726148605,
0.04284272715449333,
0.1236112043261528,
0.005595867522060871,
0.004820472560822964,
-0.019787559285759926,
0.052877385169267654,
-0.06766043603420258,
0.031068945303559303,
-0.03646770492196083,
-0.0014791939174756408,
0.018569061532616615,
-0.012924754060804844,
-0.05723799020051956,
-0.16319815814495087,
-0.003381977789103985,
-0.0012260143412277102,
0.10007170587778091,
-0.03129445016384125,
-0.052813246846199036,
-0.07085100561380386,
-0.06559433788061142,
-0.042534239590168,
-0.0077006760984659195,
0.06339025497436523,
0.04749216511845589,
-0.06911866366863251,
0.0031000105664134026,
-0.03543762490153313,
0.0460822619497776,
0.04104217141866684,
-0.010860233567655087,
0.053123846650123596,
-2.2589763303209835e-33,
-0.06381519138813019,
0.04845122620463371,
0.014911139383912086,
-0.03412536531686783,
-0.016957905143499374,
0.02673947438597679,
0.07850269228219986,
0.053737130016088486,
-0.011842401698231697,
0.0034073698334395885,
-0.041569408029317856,
0.02628646418452263,
0.009995216503739357,
-0.024910535663366318,
-0.0036521567963063717,
-0.03793828561902046,
0.003098763059824705,
-0.020037485286593437,
-0.08074721693992615,
-0.023790579289197922,
-0.09810422360897064,
-0.042345136404037476,
-0.016784047707915306,
-0.049709100276231766,
0.004955187905579805,
-0.008249294012784958,
-0.024476051330566406,
-0.02884626016020775,
-0.02831215411424637,
0.0950058326125145,
-0.06313558667898178,
0.03987952321767807,
0.054219186305999756,
0.012876272201538086,
0.08778403699398041,
0.046662166714668274,
0.04112863168120384,
0.05553288757801056,
0.047962069511413574,
-0.11423296481370926,
0.024361401796340942,
-0.08985040336847305,
-0.03939800709486008,
-0.01910899579524994,
0.01905904896557331,
0.07085961103439331,
-0.04100421816110611,
-0.012692633084952831,
-0.08992345631122589,
-0.025436634197831154,
-0.03356045484542847,
0.06057746335864067,
-0.015787331387400627,
0.0665055513381958,
0.008929369039833546,
0.02217918634414673,
0.023309556767344475,
-0.0055885473266243935,
0.041923001408576965,
0.004255575127899647,
0.0179317444562912,
-0.07492417097091675,
-0.028286918997764587,
0.08682827651500702,
-0.009402933530509472,
0.02680160105228424,
-0.03313297778367996,
-0.01883663237094879,
0.005286732222884893,
0.026417972519993782,
-0.0696595311164856,
0.024461500346660614,
-0.003612054046243429,
0.03527388349175453,
-0.06124076247215271,
-0.03635386750102043,
0.027461210265755653,
-0.015613888390362263,
-0.056275829672813416,
0.03599202632904053,
-0.10207665711641312,
0.05566244572401047,
-0.08233575522899628,
-0.061422307044267654,
0.0032219102140516043,
-0.06183416768908501,
0.13681994378566742,
-0.024231847375631332,
-0.006663809064775705,
0.01628970354795456,
0.0058408817276358604,
0.05870663747191429,
-0.06765341758728027,
-0.015417317859828472,
-0.01281849853694439,
-4.367947781247494e-8,
-0.10709914565086365,
-0.010793881490826607,
-0.006519550923258066,
-0.07061101496219635,
0.02851414866745472,
0.00030129472725093365,
0.006406320258975029,
-0.06624764204025269,
-0.019203191623091698,
0.020040476694703102,
0.04099886864423752,
-0.0561801940202713,
-0.03437003493309021,
-0.016606967896223068,
-0.034194860607385635,
0.01583780348300934,
0.05102581903338432,
-0.005560810677707195,
0.0397077351808548,
-0.04729762673377991,
-0.00969639327377081,
0.03315918147563934,
0.028820959851145744,
0.05818495154380798,
0.04470445588231087,
0.032740600407123566,
-0.02872467041015625,
-0.048032112419605255,
0.07900535315275192,
0.010843852534890175,
-0.02636294811964035,
0.003930771257728338,
-0.003900013165548444,
0.06271058320999146,
-0.04718466475605965,
0.0921325609087944,
0.059871986508369446,
-0.029893998056650162,
0.012716167606413364,
0.05003076419234276,
-0.01103546004742384,
-0.060838282108306885,
0.020141709595918655,
0.0060954042710363865,
0.1275370866060257,
0.0355498343706131,
-0.04586293548345566,
0.033372800797224045,
0.016255350783467293,
-0.06372500211000443,
-0.042193517088890076,
0.09888114780187607,
-0.07466316223144531,
-0.0734320804476738,
-0.029785392805933952,
-0.06133248656988144,
-0.018254008144140244,
-0.0349075123667717,
-0.006488048005849123,
0.023315304890275,
-0.09043540805578232,
0.050920601934194565,
-0.06543779373168945,
-0.03518923744559288
] |
1401.6338
|
Christoph Bunte
|
Christoph Bunte and Amos Lapidoth
|
Encoding Tasks and R\'enyi Entropy
|
12 pages; accepted for publication in the IEEE Transactions on
Information Theory; minor changes in the presentation; added a section on
tasks with costs; presented in part at ITW 2013; to be presented in part at
ISIT 2014
| null |
10.1109/TIT.2014.2329490
| null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A task is randomly drawn from a finite set of tasks and is described using a
fixed number of bits. All the tasks that share its description must be
performed. Upper and lower bounds on the minimum $\rho$-th moment of the number
of performed tasks are derived. The case where a sequence of tasks is produced
by a source and $n$ tasks are jointly described using $nR$ bits is considered.
If $R$ is larger than the R\'enyi entropy rate of the source of order
$1/(1+\rho)$ (provided it exists), then the $\rho$-th moment of the ratio of
performed tasks to $n$ can be driven to one as $n$ tends to infinity. If $R$ is
smaller than the R\'enyi entropy rate, this moment tends to infinity. The
results are generalized to account for the presence of side-information. In
this more general setting, the key quantity is a conditional version of R\'enyi
entropy that was introduced by Arimoto. For IID sources two additional
extensions are solved, one of a rate-distortion flavor and the other where
different tasks may have different nonnegative costs. Finally, a divergence
that was identified by Sundaresan as a mismatch penalty in the Massey-Arikan
guessing problem is shown to play a similar role here.
|
[
{
"created": "Fri, 24 Jan 2014 13:53:57 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jun 2014 12:55:33 GMT",
"version": "v2"
}
] |
2014-10-07
|
[
[
"Bunte",
"Christoph",
""
],
[
"Lapidoth",
"Amos",
""
]
] |
[
-0.06053270772099495,
-0.004273476079106331,
0.020181193947792053,
-0.01584659516811371,
0.088348388671875,
-0.025677433237433434,
0.05067165940999985,
0.0025366756599396467,
0.1310439258813858,
0.03870336338877678,
-0.07303553074598312,
0.043612174689769745,
0.08119796961545944,
0.022377880290150642,
0.005179210100322962,
-0.07844485342502594,
0.10015778243541718,
-0.02112865447998047,
-0.10969214141368866,
0.02390713430941105,
0.0717831552028656,
0.004893220495432615,
0.03392758592963219,
0.03787889704108238,
0.01638825051486492,
-0.09391392022371292,
0.007075084373354912,
-0.016853423789143562,
0.014663354493677616,
-0.013096234761178493,
-0.012313327752053738,
0.03403804078698158,
0.06603842973709106,
-0.026959586888551712,
-0.014511562883853912,
0.06854111701250076,
-0.02681751176714897,
0.011126987636089325,
0.03513437509536743,
0.043581586331129074,
-0.06960630416870117,
0.0933762788772583,
-0.013350487686693668,
0.034357499331235886,
-0.029260678216814995,
0.003161424770951271,
-0.05219209939241409,
-0.05111776664853096,
-0.08810789883136749,
0.0453210286796093,
-0.039276719093322754,
0.08438635617494583,
0.019084248691797256,
-0.008569978177547455,
0.05326708033680916,
-0.034758955240249634,
-0.05783752724528313,
-0.010202279314398766,
-0.11374567449092865,
0.03465091064572334,
0.03076857142150402,
-0.1059781163930893,
-0.06495359539985657,
-0.0836375504732132,
0.019372878596186638,
-0.03281547874212265,
0.08962374925613403,
-0.02653965912759304,
-0.05479099974036217,
0.04817021265625954,
-0.06918948143720627,
-0.03971923142671585,
-0.13551019132137299,
0.012427246198058128,
0.0643138438463211,
-0.047385089099407196,
0.02953752502799034,
0.018871687352657318,
-0.023303057998418808,
-0.08450710028409958,
-0.022880131378769875,
0.007196391932666302,
0.02183929644525051,
-0.06510277837514877,
0.034530095756053925,
-0.07123520225286484,
0.07346020638942719,
0.0804988294839859,
0.12236824631690979,
-0.013187521137297153,
-0.08561080694198608,
-0.109324611723423,
-0.026524703949689865,
0.007746538147330284,
0.1280817836523056,
-0.011397745460271835,
-0.021743150427937508,
0.0623471774160862,
0.051134780049324036,
0.00638620276004076,
0.04735499992966652,
-0.031722329556941986,
-0.014751211740076542,
-0.050265081226825714,
0.04345347732305527,
-0.02291874587535858,
0.013539930805563927,
0.02808701992034912,
0.002391281770542264,
0.031107332557439804,
0.01968148909509182,
-0.0036605275236070156,
0.015586324036121368,
0.015634937211871147,
-0.006076055578887463,
-0.043976858258247375,
-0.030241508036851883,
0.06674310564994812,
-0.06527236104011536,
-0.012163011357188225,
0.0037562677171081305,
0.01911432296037674,
0.010319691151380539,
-0.007036196533590555,
-0.0367351770401001,
0.029777372255921364,
-0.004367996472865343,
3.6456293231562864e-33,
0.015253236517310143,
-0.009719418361783028,
-0.0035171187482774258,
-0.03140154480934143,
0.04777636006474495,
0.09394071996212006,
-0.04059421271085739,
0.025452720001339912,
0.021645503118634224,
-0.006994821596890688,
-0.037492167204618454,
0.08903907239437103,
-0.007719215005636215,
-0.05987245962023735,
0.017028523609042168,
-0.04218713194131851,
-0.09474831819534302,
0.07586513459682465,
0.01627667434513569,
-0.06625133007764816,
-0.03068559244275093,
0.002763839904218912,
-0.016304077580571175,
-0.00816239882260561,
-0.00300294766202569,
-0.07336147129535675,
-0.012432778254151344,
-0.0596989206969738,
-0.014194152317941189,
0.00295832846313715,
-0.02576945535838604,
0.012629802338778973,
0.0009540581959299743,
-0.069490946829319,
-0.03739474341273308,
-0.005076918751001358,
-0.00360676646232605,
0.0020234326366335154,
-0.0007888654945418239,
-0.014246033504605293,
-0.021017177030444145,
0.1121450811624527,
0.005924045108258724,
-0.07597506046295166,
-0.12006966769695282,
-0.07914217561483383,
0.08746232092380524,
0.058593206107616425,
-0.037848323583602905,
-0.04840695485472679,
0.030273230746388435,
0.008330711163580418,
0.06237294524908066,
-0.06722042709589005,
0.07552145421504974,
0.01568792574107647,
0.03078361041843891,
-0.004254358820617199,
0.05130280181765556,
0.13214167952537537,
-0.0449485220015049,
-0.00329377013258636,
0.08670013397932053,
0.020806534215807915,
0.07164112478494644,
0.035103145986795425,
0.0027406185399740934,
0.042432162910699844,
0.09927768260240555,
-0.05014379695057869,
-0.005877147428691387,
-0.03180624544620514,
0.0046003395691514015,
-0.06567969918251038,
0.006114365998655558,
0.003928628284484148,
0.012492690235376358,
-0.06825365126132965,
-0.08717681467533112,
0.058964744210243225,
-0.13646061718463898,
-0.008258610963821411,
0.006795394700020552,
-0.07348624616861343,
-0.06739740073680878,
0.04284442216157913,
-0.005220863968133926,
-0.032328635454177856,
-0.12914615869522095,
0.040305789560079575,
0.028888961300253868,
-0.054165150970220566,
0.034291822463274,
-0.003323039971292019,
0.026088275015354156,
-4.568434632880015e-33,
-0.09437180310487747,
-0.06348224729299545,
-0.053337886929512024,
0.01770111545920372,
0.006808993872255087,
-0.03566631302237511,
0.03133025020360947,
-0.05298066511750221,
-0.04377472400665283,
-0.04394211620092392,
-0.06346942484378815,
-0.029476957395672798,
0.016040973365306854,
0.01536134909838438,
-0.006208436563611031,
0.008337563835084438,
0.06261308491230011,
0.10948969423770905,
0.0265689454972744,
-0.0006654185126535594,
0.06286057829856873,
0.059502068907022476,
-0.05470273643732071,
-0.0017393603920936584,
0.036468423902988434,
0.07128586620092392,
-0.03407328203320503,
0.07870139181613922,
-0.038129594177007675,
0.00004831155456486158,
-0.033326614648103714,
-0.08942068368196487,
-0.09283877164125443,
-0.023115452378988266,
-0.02555624023079872,
-0.020251085981726646,
0.011437698267400265,
0.07452886551618576,
-0.04446687176823616,
0.04048973694443703,
0.03515969589352608,
0.02170143648982048,
0.011979179456830025,
0.04339643195271492,
0.047187548130750656,
-0.09007034450769424,
-0.0870005264878273,
-0.00042222629417665303,
-0.029262861236929893,
-0.0008708212990313768,
0.039230089634656906,
0.024145588278770447,
-0.04720696434378624,
0.07610394805669785,
-0.05376625061035156,
-0.01987534947693348,
-0.09033714234828949,
-0.003096063155680895,
0.057124100625514984,
0.08169837296009064,
-0.009709636680781841,
0.042176034301519394,
-0.03248879685997963,
0.038386911153793335,
-0.018399402499198914,
0.020517904311418533,
0.007339405827224255,
-0.05731835961341858,
0.07435816526412964,
-0.00392267107963562,
0.06532122939825058,
0.007564484141767025,
0.06067924201488495,
0.0653800368309021,
0.036512382328510284,
0.05417637899518013,
0.04754955321550369,
-0.007064280100166798,
-0.08008307963609695,
0.001028265105560422,
-0.10303881019353867,
0.07048875093460083,
-0.010931557044386864,
0.018092527985572815,
-0.05377563461661339,
-0.009134533815085888,
0.03954100236296654,
-0.0624387264251709,
0.02091526985168457,
-0.050754815340042114,
0.024743571877479553,
0.008531443774700165,
0.02305440418422222,
0.04950227960944176,
-0.04174589738249779,
-5.885324583232432e-8,
0.083061583340168,
-0.09051621705293655,
0.0489296093583107,
-0.03879154101014137,
0.07320106774568558,
0.025615092366933823,
-0.06889674067497253,
0.02138608880341053,
-0.015879008919000626,
0.04180264100432396,
0.15685278177261353,
0.038264237344264984,
0.005630046594887972,
0.030077677220106125,
0.04083593189716339,
-0.019563598558306694,
-0.002511077793315053,
0.021995827555656433,
-0.012981669045984745,
-0.06270807236433029,
0.02758270874619484,
-0.0037311804480850697,
0.0026078838855028152,
-0.06336677074432373,
0.005249353591352701,
0.019012615084648132,
-0.0014787311665713787,
-0.003747127717360854,
-0.005134308245033026,
-0.038803860545158386,
0.012758482247591019,
0.009081917814910412,
0.02456902340054512,
0.023004885762929916,
-0.007260923273861408,
-0.0511464923620224,
0.0038246726617217064,
-0.0138434749096632,
-0.046745043247938156,
0.0071201990358531475,
0.04783500358462334,
-0.007652007509022951,
0.05467991903424263,
0.016498878598213196,
0.056999631226062775,
-0.008265416137874126,
-0.09687849879264832,
0.0013525235699489713,
-0.004171782173216343,
-0.018210941925644875,
-0.02326575666666031,
-0.0009112050174735487,
0.0356883741915226,
0.04506690800189972,
0.10158171504735947,
-0.0007709276396781206,
-0.02203381434082985,
-0.05939334258437157,
-0.0032866213005036116,
0.05896274745464325,
0.058103952556848526,
0.1256345510482788,
-0.0898885726928711,
-0.02596515230834484
] | null | null | null | null | null | null | null |
[
-0.06053270772099495,
-0.004273476079106331,
0.020181193947792053,
-0.01584659516811371,
0.088348388671875,
-0.025677433237433434,
0.05067165940999985,
0.0025366756599396467,
0.1310439258813858,
0.03870336338877678,
-0.07303553074598312,
0.043612174689769745,
0.08119796961545944,
0.022377880290150642,
0.005179210100322962,
-0.07844485342502594,
0.10015778243541718,
-0.02112865447998047,
-0.10969214141368866,
0.02390713430941105,
0.0717831552028656,
0.004893220495432615,
0.03392758592963219,
0.03787889704108238,
0.01638825051486492,
-0.09391392022371292,
0.007075084373354912,
-0.016853423789143562,
0.014663354493677616,
-0.013096234761178493,
-0.012313327752053738,
0.03403804078698158,
0.06603842973709106,
-0.026959586888551712,
-0.014511562883853912,
0.06854111701250076,
-0.02681751176714897,
0.011126987636089325,
0.03513437509536743,
0.043581586331129074,
-0.06960630416870117,
0.0933762788772583,
-0.013350487686693668,
0.034357499331235886,
-0.029260678216814995,
0.003161424770951271,
-0.05219209939241409,
-0.05111776664853096,
-0.08810789883136749,
0.0453210286796093,
-0.039276719093322754,
0.08438635617494583,
0.019084248691797256,
-0.008569978177547455,
0.05326708033680916,
-0.034758955240249634,
-0.05783752724528313,
-0.010202279314398766,
-0.11374567449092865,
0.03465091064572334,
0.03076857142150402,
-0.1059781163930893,
-0.06495359539985657,
-0.0836375504732132,
0.019372878596186638,
-0.03281547874212265,
0.08962374925613403,
-0.02653965912759304,
-0.05479099974036217,
0.04817021265625954,
-0.06918948143720627,
-0.03971923142671585,
-0.13551019132137299,
0.012427246198058128,
0.0643138438463211,
-0.047385089099407196,
0.02953752502799034,
0.018871687352657318,
-0.023303057998418808,
-0.08450710028409958,
-0.022880131378769875,
0.007196391932666302,
0.02183929644525051,
-0.06510277837514877,
0.034530095756053925,
-0.07123520225286484,
0.07346020638942719,
0.0804988294839859,
0.12236824631690979,
-0.013187521137297153,
-0.08561080694198608,
-0.109324611723423,
-0.026524703949689865,
0.007746538147330284,
0.1280817836523056,
-0.011397745460271835,
-0.021743150427937508,
0.0623471774160862,
0.051134780049324036,
0.00638620276004076,
0.04735499992966652,
-0.031722329556941986,
-0.014751211740076542,
-0.050265081226825714,
0.04345347732305527,
-0.02291874587535858,
0.013539930805563927,
0.02808701992034912,
0.002391281770542264,
0.031107332557439804,
0.01968148909509182,
-0.0036605275236070156,
0.015586324036121368,
0.015634937211871147,
-0.006076055578887463,
-0.043976858258247375,
-0.030241508036851883,
0.06674310564994812,
-0.06527236104011536,
-0.012163011357188225,
0.0037562677171081305,
0.01911432296037674,
0.010319691151380539,
-0.007036196533590555,
-0.0367351770401001,
0.029777372255921364,
-0.004367996472865343,
3.6456293231562864e-33,
0.015253236517310143,
-0.009719418361783028,
-0.0035171187482774258,
-0.03140154480934143,
0.04777636006474495,
0.09394071996212006,
-0.04059421271085739,
0.025452720001339912,
0.021645503118634224,
-0.006994821596890688,
-0.037492167204618454,
0.08903907239437103,
-0.007719215005636215,
-0.05987245962023735,
0.017028523609042168,
-0.04218713194131851,
-0.09474831819534302,
0.07586513459682465,
0.01627667434513569,
-0.06625133007764816,
-0.03068559244275093,
0.002763839904218912,
-0.016304077580571175,
-0.00816239882260561,
-0.00300294766202569,
-0.07336147129535675,
-0.012432778254151344,
-0.0596989206969738,
-0.014194152317941189,
0.00295832846313715,
-0.02576945535838604,
0.012629802338778973,
0.0009540581959299743,
-0.069490946829319,
-0.03739474341273308,
-0.005076918751001358,
-0.00360676646232605,
0.0020234326366335154,
-0.0007888654945418239,
-0.014246033504605293,
-0.021017177030444145,
0.1121450811624527,
0.005924045108258724,
-0.07597506046295166,
-0.12006966769695282,
-0.07914217561483383,
0.08746232092380524,
0.058593206107616425,
-0.037848323583602905,
-0.04840695485472679,
0.030273230746388435,
0.008330711163580418,
0.06237294524908066,
-0.06722042709589005,
0.07552145421504974,
0.01568792574107647,
0.03078361041843891,
-0.004254358820617199,
0.05130280181765556,
0.13214167952537537,
-0.0449485220015049,
-0.00329377013258636,
0.08670013397932053,
0.020806534215807915,
0.07164112478494644,
0.035103145986795425,
0.0027406185399740934,
0.042432162910699844,
0.09927768260240555,
-0.05014379695057869,
-0.005877147428691387,
-0.03180624544620514,
0.0046003395691514015,
-0.06567969918251038,
0.006114365998655558,
0.003928628284484148,
0.012492690235376358,
-0.06825365126132965,
-0.08717681467533112,
0.058964744210243225,
-0.13646061718463898,
-0.008258610963821411,
0.006795394700020552,
-0.07348624616861343,
-0.06739740073680878,
0.04284442216157913,
-0.005220863968133926,
-0.032328635454177856,
-0.12914615869522095,
0.040305789560079575,
0.028888961300253868,
-0.054165150970220566,
0.034291822463274,
-0.003323039971292019,
0.026088275015354156,
-4.568434632880015e-33,
-0.09437180310487747,
-0.06348224729299545,
-0.053337886929512024,
0.01770111545920372,
0.006808993872255087,
-0.03566631302237511,
0.03133025020360947,
-0.05298066511750221,
-0.04377472400665283,
-0.04394211620092392,
-0.06346942484378815,
-0.029476957395672798,
0.016040973365306854,
0.01536134909838438,
-0.006208436563611031,
0.008337563835084438,
0.06261308491230011,
0.10948969423770905,
0.0265689454972744,
-0.0006654185126535594,
0.06286057829856873,
0.059502068907022476,
-0.05470273643732071,
-0.0017393603920936584,
0.036468423902988434,
0.07128586620092392,
-0.03407328203320503,
0.07870139181613922,
-0.038129594177007675,
0.00004831155456486158,
-0.033326614648103714,
-0.08942068368196487,
-0.09283877164125443,
-0.023115452378988266,
-0.02555624023079872,
-0.020251085981726646,
0.011437698267400265,
0.07452886551618576,
-0.04446687176823616,
0.04048973694443703,
0.03515969589352608,
0.02170143648982048,
0.011979179456830025,
0.04339643195271492,
0.047187548130750656,
-0.09007034450769424,
-0.0870005264878273,
-0.00042222629417665303,
-0.029262861236929893,
-0.0008708212990313768,
0.039230089634656906,
0.024145588278770447,
-0.04720696434378624,
0.07610394805669785,
-0.05376625061035156,
-0.01987534947693348,
-0.09033714234828949,
-0.003096063155680895,
0.057124100625514984,
0.08169837296009064,
-0.009709636680781841,
0.042176034301519394,
-0.03248879685997963,
0.038386911153793335,
-0.018399402499198914,
0.020517904311418533,
0.007339405827224255,
-0.05731835961341858,
0.07435816526412964,
-0.00392267107963562,
0.06532122939825058,
0.007564484141767025,
0.06067924201488495,
0.0653800368309021,
0.036512382328510284,
0.05417637899518013,
0.04754955321550369,
-0.007064280100166798,
-0.08008307963609695,
0.001028265105560422,
-0.10303881019353867,
0.07048875093460083,
-0.010931557044386864,
0.018092527985572815,
-0.05377563461661339,
-0.009134533815085888,
0.03954100236296654,
-0.0624387264251709,
0.02091526985168457,
-0.050754815340042114,
0.024743571877479553,
0.008531443774700165,
0.02305440418422222,
0.04950227960944176,
-0.04174589738249779,
-5.885324583232432e-8,
0.083061583340168,
-0.09051621705293655,
0.0489296093583107,
-0.03879154101014137,
0.07320106774568558,
0.025615092366933823,
-0.06889674067497253,
0.02138608880341053,
-0.015879008919000626,
0.04180264100432396,
0.15685278177261353,
0.038264237344264984,
0.005630046594887972,
0.030077677220106125,
0.04083593189716339,
-0.019563598558306694,
-0.002511077793315053,
0.021995827555656433,
-0.012981669045984745,
-0.06270807236433029,
0.02758270874619484,
-0.0037311804480850697,
0.0026078838855028152,
-0.06336677074432373,
0.005249353591352701,
0.019012615084648132,
-0.0014787311665713787,
-0.003747127717360854,
-0.005134308245033026,
-0.038803860545158386,
0.012758482247591019,
0.009081917814910412,
0.02456902340054512,
0.023004885762929916,
-0.007260923273861408,
-0.0511464923620224,
0.0038246726617217064,
-0.0138434749096632,
-0.046745043247938156,
0.0071201990358531475,
0.04783500358462334,
-0.007652007509022951,
0.05467991903424263,
0.016498878598213196,
0.056999631226062775,
-0.008265416137874126,
-0.09687849879264832,
0.0013525235699489713,
-0.004171782173216343,
-0.018210941925644875,
-0.02326575666666031,
-0.0009112050174735487,
0.0356883741915226,
0.04506690800189972,
0.10158171504735947,
-0.0007709276396781206,
-0.02203381434082985,
-0.05939334258437157,
-0.0032866213005036116,
0.05896274745464325,
0.058103952556848526,
0.1256345510482788,
-0.0898885726928711,
-0.02596515230834484
] |
1401.6346
|
Zsuzsanna Lipt\'ak
|
P\'eter Burcsi and Gabriele Fici and Zsuzsanna Lipt\'ak and Frank
Ruskey and Joe Sawada
|
On Combinatorial Generation of Prefix Normal Words
|
12 pages, 5 figures
|
Combinatorial Pattern Matching 2014, LNCS 8464, 60-69
|
10.1007/978-3-319-07566-2_7
| null |
cs.DS cs.DM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A prefix normal word is a binary word with the property that no substring has
more 1s than the prefix of the same length. This class of words is important in
the context of binary jumbled pattern matching. In this paper we present an
efficient algorithm for exhaustively listing the prefix normal words with a
fixed length. The algorithm is based on the fact that the language of prefix
normal words is a bubble language, a class of binary languages with the
property that, for any word w in the language, exchanging the first occurrence
of 01 by 10 in w results in another word in the language. We prove that each
prefix normal word is produced in O(n) amortized time, and conjecture, based on
experimental evidence, that the true amortized running time is O(polylog(n)).
|
[
{
"created": "Fri, 24 Jan 2014 14:30:35 GMT",
"version": "v1"
}
] |
2014-06-23
|
[
[
"Burcsi",
"Péter",
""
],
[
"Fici",
"Gabriele",
""
],
[
"Lipták",
"Zsuzsanna",
""
],
[
"Ruskey",
"Frank",
""
],
[
"Sawada",
"Joe",
""
]
] |
[
-0.043879296630620956,
-0.0025423485785722733,
0.03408399224281311,
-0.02464469149708748,
-0.0640782043337822,
-0.12465188652276993,
0.04904349893331528,
-0.032019179314374924,
0.020228439942002296,
-0.02453674003481865,
-0.0011307235108688474,
0.05197535827755928,
0.03448999300599098,
0.038960013538599014,
-0.03915528580546379,
0.025572506710886955,
-0.039838939905166626,
0.021437186747789383,
-0.06333260238170624,
-0.020271584391593933,
0.08817192912101746,
-0.0023015474434942007,
-0.0656895861029625,
-0.014921261928975582,
0.09944120049476624,
0.05179651454091072,
-0.0847504660487175,
-0.05615236982703209,
0.02929859422147274,
0.04637543112039566,
0.026193322613835335,
0.05274114012718201,
0.20160186290740967,
0.029360933229327202,
0.06380750238895416,
-0.02062983624637127,
-0.006894693709909916,
-0.049773912876844406,
-0.009396920911967754,
0.03381217271089554,
-0.057743821293115616,
-0.061965636909008026,
-0.02486605942249298,
0.000647142413072288,
0.023884465917944908,
0.03475752845406532,
0.0071135894395411015,
0.08051879703998566,
-0.05020839348435402,
-0.0028102961368858814,
-0.08159118890762329,
-0.05796366557478905,
-0.08337391167879105,
0.06546169519424438,
-0.005576868075877428,
0.019328415393829346,
0.02899048663675785,
0.024037986993789673,
-0.036556947976350784,
-0.015444249846041203,
0.013709714636206627,
0.005954630672931671,
-0.05980481579899788,
0.00673375790938735,
0.016214707866311073,
0.02666833996772766,
0.07628058642148972,
-0.02212413214147091,
0.0060098180547356606,
0.055908650159835815,
0.007188653107732534,
0.06918315589427948,
-0.009751331061124802,
0.10557964444160461,
-0.05158069357275963,
0.01668834313750267,
0.04132683202624321,
-0.0703871101140976,
-0.025329923257231712,
-0.015052932314574718,
-0.051933255046606064,
-0.04256158322095871,
0.05587839335203171,
-0.02995241805911064,
0.012348949909210205,
-0.0255769994109869,
0.02270287089049816,
0.03569430112838745,
-0.0280497744679451,
0.0016589758452028036,
-0.08414933830499649,
-0.10980391502380371,
0.035221852362155914,
-0.04175538197159767,
0.011188095435500145,
-0.017281627282500267,
0.005115782376378775,
0.0886259377002716,
0.046692024916410446,
0.05046870931982994,
-0.050881292670965195,
0.04903063178062439,
-0.020816512405872345,
-0.02622499316930771,
-0.01033891923725605,
0.03806469962000847,
-0.02759888768196106,
-0.0013901457423344254,
0.011936089023947716,
0.006778145674616098,
0.05363443121314049,
-0.05481978878378868,
0.019471770152449608,
0.0012575562577694654,
0.027218522503972054,
-0.03793097659945488,
-0.06079826503992081,
0.030785277485847473,
0.0026793270371854305,
0.06320805847644806,
0.02864226885139942,
-0.041007060557603836,
-0.008257932029664516,
0.0030188346281647682,
-0.005800956394523382,
-0.011692499741911888,
0.023441797122359276,
8.970352593113383e-34,
0.06554299592971802,
0.04827212542295456,
-0.042215295135974884,
-0.054208725690841675,
-0.0006710594752803445,
0.006247345358133316,
-0.04681478068232536,
0.0054265582002699375,
-0.014813646674156189,
0.06098746508359909,
0.005456872750073671,
0.05558377876877785,
0.054214563220739365,
0.01826094649732113,
0.017545172944664955,
-0.042399559170007706,
0.10067514330148697,
-0.0036964549217373133,
-0.03432733193039894,
-0.08084898442029953,
0.020924771204590797,
0.064841628074646,
-0.029179975390434265,
-0.07714555412530899,
-0.02681414969265461,
-0.10437560826539993,
0.0028880147729068995,
-0.12992677092552185,
0.07056277990341187,
0.017770079895853996,
-0.02478073164820671,
-0.038102276623249054,
-0.008474276401102543,
0.07356764376163483,
0.046261265873909,
-0.032130252569913864,
0.014889560639858246,
-0.05052492395043373,
-0.019569789990782738,
-0.02903345413506031,
-0.03350349888205528,
-0.0019792497623711824,
0.05521515756845474,
-0.020380878821015358,
-0.01045759953558445,
0.007180576678365469,
-0.014866454526782036,
0.0172937773168087,
-0.010306242853403091,
-0.020008709281682968,
0.0701942890882492,
-0.02348615601658821,
-0.04052306339144707,
0.08730292320251465,
0.006013703998178244,
0.00018394633661955595,
0.06729931384325027,
0.007241913583129644,
-0.049083251506090164,
0.1835206300020218,
-0.012285261414945126,
0.001271203625947237,
0.05777166783809662,
0.024459999054670334,
-0.014509874396026134,
0.042227935045957565,
-0.0354754701256752,
-0.02149743027985096,
0.04873370751738548,
0.05008703097701073,
-0.04765423759818077,
-0.009978118352591991,
-0.06614339351654053,
0.020891986787319183,
0.031275324523448944,
-0.039434127509593964,
0.12856905162334442,
-0.09909835457801819,
-0.06578943878412247,
-0.04601088911294937,
-0.0664205551147461,
-0.08711148053407669,
0.07206487655639648,
-0.02211686223745346,
-0.07625652849674225,
-0.03867996484041214,
-0.005917304195463657,
-0.035757943987846375,
-0.04811081290245056,
-0.09439897537231445,
-0.06088797748088837,
-0.02991994470357895,
0.03528402000665665,
-0.027573026716709137,
0.05288559943437576,
-2.356615462494175e-33,
-0.030729122459888458,
-0.04211552441120148,
0.010302765294909477,
0.06918215751647949,
-0.03955937922000885,
-0.08019881695508957,
0.012238862924277782,
0.041372016072273254,
-0.012851235456764698,
-0.000018471351722837426,
-0.02953588217496872,
0.021583396941423416,
0.07659818232059479,
0.0018122800393030047,
0.04231366515159607,
-0.013326752930879593,
0.10515126585960388,
0.02659880556166172,
0.030190275982022285,
0.06658156961202621,
0.05481415614485741,
0.054098933935165405,
-0.0591350719332695,
-0.04277703911066055,
0.021616844460368156,
0.0385725200176239,
-0.04167407751083374,
0.019038986414670944,
0.020523646846413612,
0.0626545175909996,
-0.0414920337498188,
0.02550433948636055,
-0.011675145477056503,
-0.04248231276869774,
-0.04210513457655907,
-0.0004346770001575351,
0.035937950015068054,
0.04933413118124008,
0.03030259907245636,
-0.024365613237023354,
-0.0008303963695652783,
0.015622368082404137,
-0.00848581362515688,
-0.022916410118341446,
0.017057521268725395,
-0.043819062411785126,
-0.12995104491710663,
0.015264458023011684,
-0.014141196385025978,
-0.03132845088839531,
0.03638806194067001,
0.024505438283085823,
0.04176294803619385,
0.021879764273762703,
0.03513048216700554,
-0.00018332977197133005,
-0.12553632259368896,
0.028070230036973953,
-0.018957624211907387,
-0.02718934416770935,
-0.008338709361851215,
0.06389196962118149,
0.08203975856304169,
0.018536493182182312,
0.08495441824197769,
0.00025576664484106004,
-0.03454107046127319,
-0.07429935038089752,
-0.020055297762155533,
-0.11766768991947174,
0.09558822214603424,
0.018456654623150826,
-0.12731298804283142,
0.032788652926683426,
-0.09152816236019135,
-0.02566782385110855,
0.027716951444745064,
-0.02991761453449726,
-0.05379914119839668,
0.08034238964319229,
-0.029521625488996506,
0.08842337131500244,
0.01203969307243824,
0.00351746310479939,
-0.07759105414152145,
0.003938324749469757,
0.07573632150888443,
-0.02542443573474884,
0.028348280116915703,
0.011170226149260998,
0.029252605512738228,
0.07295343279838562,
0.06760433316230774,
0.005004595965147018,
-0.01874646544456482,
-4.181071844300277e-8,
-0.018442267552018166,
-0.033377405256032944,
0.03263433277606964,
0.041039515286684036,
0.14846642315387726,
-0.014044518582522869,
0.05440596491098404,
-0.0033652193378657103,
-0.0003705616691149771,
-0.08208253234624863,
0.07764097303152084,
0.01490623690187931,
-0.12097656726837158,
-0.009637853130698204,
0.0070541477762162685,
-0.01157406996935606,
0.005352071486413479,
-0.12430356442928314,
-0.05245319753885269,
0.058092184364795685,
-0.033148810267448425,
0.026178045198321342,
-0.01149824820458889,
0.09629890322685242,
-0.10794395208358765,
-0.007949353195726871,
-0.042689207941293716,
-0.03146819397807121,
0.05612490698695183,
-0.011948411352932453,
-0.009849753230810165,
0.060551270842552185,
0.026204457506537437,
-0.04364088177680969,
-0.055128756910562515,
0.050482623279094696,
-0.04296276345849037,
0.0398167185485363,
-0.06421966105699539,
-0.005048886872828007,
0.04182438179850578,
-0.03533404320478439,
0.02705887146294117,
0.01102314330637455,
0.07420982420444489,
-0.13006776571273804,
-0.022292347624897957,
-0.10322058200836182,
-0.00900566577911377,
-0.0711166113615036,
0.051515769213438034,
0.06179269030690193,
-0.030261123552918434,
-0.04096975922584534,
0.021929094567894936,
0.030128875747323036,
-0.08440887928009033,
0.036333683878183365,
0.044174276292324066,
0.07087017595767975,
0.006084301043301821,
-0.01623152568936348,
0.06342941522598267,
-0.014594832435250282
] | null | null | null | null | null | null | null |
[
-0.043879296630620956,
-0.0025423485785722733,
0.03408399224281311,
-0.02464469149708748,
-0.0640782043337822,
-0.12465188652276993,
0.04904349893331528,
-0.032019179314374924,
0.020228439942002296,
-0.02453674003481865,
-0.0011307235108688474,
0.05197535827755928,
0.03448999300599098,
0.038960013538599014,
-0.03915528580546379,
0.025572506710886955,
-0.039838939905166626,
0.021437186747789383,
-0.06333260238170624,
-0.020271584391593933,
0.08817192912101746,
-0.0023015474434942007,
-0.0656895861029625,
-0.014921261928975582,
0.09944120049476624,
0.05179651454091072,
-0.0847504660487175,
-0.05615236982703209,
0.02929859422147274,
0.04637543112039566,
0.026193322613835335,
0.05274114012718201,
0.20160186290740967,
0.029360933229327202,
0.06380750238895416,
-0.02062983624637127,
-0.006894693709909916,
-0.049773912876844406,
-0.009396920911967754,
0.03381217271089554,
-0.057743821293115616,
-0.061965636909008026,
-0.02486605942249298,
0.000647142413072288,
0.023884465917944908,
0.03475752845406532,
0.0071135894395411015,
0.08051879703998566,
-0.05020839348435402,
-0.0028102961368858814,
-0.08159118890762329,
-0.05796366557478905,
-0.08337391167879105,
0.06546169519424438,
-0.005576868075877428,
0.019328415393829346,
0.02899048663675785,
0.024037986993789673,
-0.036556947976350784,
-0.015444249846041203,
0.013709714636206627,
0.005954630672931671,
-0.05980481579899788,
0.00673375790938735,
0.016214707866311073,
0.02666833996772766,
0.07628058642148972,
-0.02212413214147091,
0.0060098180547356606,
0.055908650159835815,
0.007188653107732534,
0.06918315589427948,
-0.009751331061124802,
0.10557964444160461,
-0.05158069357275963,
0.01668834313750267,
0.04132683202624321,
-0.0703871101140976,
-0.025329923257231712,
-0.015052932314574718,
-0.051933255046606064,
-0.04256158322095871,
0.05587839335203171,
-0.02995241805911064,
0.012348949909210205,
-0.0255769994109869,
0.02270287089049816,
0.03569430112838745,
-0.0280497744679451,
0.0016589758452028036,
-0.08414933830499649,
-0.10980391502380371,
0.035221852362155914,
-0.04175538197159767,
0.011188095435500145,
-0.017281627282500267,
0.005115782376378775,
0.0886259377002716,
0.046692024916410446,
0.05046870931982994,
-0.050881292670965195,
0.04903063178062439,
-0.020816512405872345,
-0.02622499316930771,
-0.01033891923725605,
0.03806469962000847,
-0.02759888768196106,
-0.0013901457423344254,
0.011936089023947716,
0.006778145674616098,
0.05363443121314049,
-0.05481978878378868,
0.019471770152449608,
0.0012575562577694654,
0.027218522503972054,
-0.03793097659945488,
-0.06079826503992081,
0.030785277485847473,
0.0026793270371854305,
0.06320805847644806,
0.02864226885139942,
-0.041007060557603836,
-0.008257932029664516,
0.0030188346281647682,
-0.005800956394523382,
-0.011692499741911888,
0.023441797122359276,
8.970352593113383e-34,
0.06554299592971802,
0.04827212542295456,
-0.042215295135974884,
-0.054208725690841675,
-0.0006710594752803445,
0.006247345358133316,
-0.04681478068232536,
0.0054265582002699375,
-0.014813646674156189,
0.06098746508359909,
0.005456872750073671,
0.05558377876877785,
0.054214563220739365,
0.01826094649732113,
0.017545172944664955,
-0.042399559170007706,
0.10067514330148697,
-0.0036964549217373133,
-0.03432733193039894,
-0.08084898442029953,
0.020924771204590797,
0.064841628074646,
-0.029179975390434265,
-0.07714555412530899,
-0.02681414969265461,
-0.10437560826539993,
0.0028880147729068995,
-0.12992677092552185,
0.07056277990341187,
0.017770079895853996,
-0.02478073164820671,
-0.038102276623249054,
-0.008474276401102543,
0.07356764376163483,
0.046261265873909,
-0.032130252569913864,
0.014889560639858246,
-0.05052492395043373,
-0.019569789990782738,
-0.02903345413506031,
-0.03350349888205528,
-0.0019792497623711824,
0.05521515756845474,
-0.020380878821015358,
-0.01045759953558445,
0.007180576678365469,
-0.014866454526782036,
0.0172937773168087,
-0.010306242853403091,
-0.020008709281682968,
0.0701942890882492,
-0.02348615601658821,
-0.04052306339144707,
0.08730292320251465,
0.006013703998178244,
0.00018394633661955595,
0.06729931384325027,
0.007241913583129644,
-0.049083251506090164,
0.1835206300020218,
-0.012285261414945126,
0.001271203625947237,
0.05777166783809662,
0.024459999054670334,
-0.014509874396026134,
0.042227935045957565,
-0.0354754701256752,
-0.02149743027985096,
0.04873370751738548,
0.05008703097701073,
-0.04765423759818077,
-0.009978118352591991,
-0.06614339351654053,
0.020891986787319183,
0.031275324523448944,
-0.039434127509593964,
0.12856905162334442,
-0.09909835457801819,
-0.06578943878412247,
-0.04601088911294937,
-0.0664205551147461,
-0.08711148053407669,
0.07206487655639648,
-0.02211686223745346,
-0.07625652849674225,
-0.03867996484041214,
-0.005917304195463657,
-0.035757943987846375,
-0.04811081290245056,
-0.09439897537231445,
-0.06088797748088837,
-0.02991994470357895,
0.03528402000665665,
-0.027573026716709137,
0.05288559943437576,
-2.356615462494175e-33,
-0.030729122459888458,
-0.04211552441120148,
0.010302765294909477,
0.06918215751647949,
-0.03955937922000885,
-0.08019881695508957,
0.012238862924277782,
0.041372016072273254,
-0.012851235456764698,
-0.000018471351722837426,
-0.02953588217496872,
0.021583396941423416,
0.07659818232059479,
0.0018122800393030047,
0.04231366515159607,
-0.013326752930879593,
0.10515126585960388,
0.02659880556166172,
0.030190275982022285,
0.06658156961202621,
0.05481415614485741,
0.054098933935165405,
-0.0591350719332695,
-0.04277703911066055,
0.021616844460368156,
0.0385725200176239,
-0.04167407751083374,
0.019038986414670944,
0.020523646846413612,
0.0626545175909996,
-0.0414920337498188,
0.02550433948636055,
-0.011675145477056503,
-0.04248231276869774,
-0.04210513457655907,
-0.0004346770001575351,
0.035937950015068054,
0.04933413118124008,
0.03030259907245636,
-0.024365613237023354,
-0.0008303963695652783,
0.015622368082404137,
-0.00848581362515688,
-0.022916410118341446,
0.017057521268725395,
-0.043819062411785126,
-0.12995104491710663,
0.015264458023011684,
-0.014141196385025978,
-0.03132845088839531,
0.03638806194067001,
0.024505438283085823,
0.04176294803619385,
0.021879764273762703,
0.03513048216700554,
-0.00018332977197133005,
-0.12553632259368896,
0.028070230036973953,
-0.018957624211907387,
-0.02718934416770935,
-0.008338709361851215,
0.06389196962118149,
0.08203975856304169,
0.018536493182182312,
0.08495441824197769,
0.00025576664484106004,
-0.03454107046127319,
-0.07429935038089752,
-0.020055297762155533,
-0.11766768991947174,
0.09558822214603424,
0.018456654623150826,
-0.12731298804283142,
0.032788652926683426,
-0.09152816236019135,
-0.02566782385110855,
0.027716951444745064,
-0.02991761453449726,
-0.05379914119839668,
0.08034238964319229,
-0.029521625488996506,
0.08842337131500244,
0.01203969307243824,
0.00351746310479939,
-0.07759105414152145,
0.003938324749469757,
0.07573632150888443,
-0.02542443573474884,
0.028348280116915703,
0.011170226149260998,
0.029252605512738228,
0.07295343279838562,
0.06760433316230774,
0.005004595965147018,
-0.01874646544456482,
-4.181071844300277e-8,
-0.018442267552018166,
-0.033377405256032944,
0.03263433277606964,
0.041039515286684036,
0.14846642315387726,
-0.014044518582522869,
0.05440596491098404,
-0.0033652193378657103,
-0.0003705616691149771,
-0.08208253234624863,
0.07764097303152084,
0.01490623690187931,
-0.12097656726837158,
-0.009637853130698204,
0.0070541477762162685,
-0.01157406996935606,
0.005352071486413479,
-0.12430356442928314,
-0.05245319753885269,
0.058092184364795685,
-0.033148810267448425,
0.026178045198321342,
-0.01149824820458889,
0.09629890322685242,
-0.10794395208358765,
-0.007949353195726871,
-0.042689207941293716,
-0.03146819397807121,
0.05612490698695183,
-0.011948411352932453,
-0.009849753230810165,
0.060551270842552185,
0.026204457506537437,
-0.04364088177680969,
-0.055128756910562515,
0.050482623279094696,
-0.04296276345849037,
0.0398167185485363,
-0.06421966105699539,
-0.005048886872828007,
0.04182438179850578,
-0.03533404320478439,
0.02705887146294117,
0.01102314330637455,
0.07420982420444489,
-0.13006776571273804,
-0.022292347624897957,
-0.10322058200836182,
-0.00900566577911377,
-0.0711166113615036,
0.051515769213438034,
0.06179269030690193,
-0.030261123552918434,
-0.04096975922584534,
0.021929094567894936,
0.030128875747323036,
-0.08440887928009033,
0.036333683878183365,
0.044174276292324066,
0.07087017595767975,
0.006084301043301821,
-0.01623152568936348,
0.06342941522598267,
-0.014594832435250282
] |
1401.6347
|
Daniel R\"osch
|
Daniel R\"osch, Stefan Willitsch, Yuan-Pin Chang, Jochen K\"upper
|
Chemical reactions of conformationally selected molecules in a beam with
Coulomb-crystallized ions
|
12 pages, 11 figures
|
J. Chem. Phys. 140, 124202 (2014)
|
10.1063/1.4869100
| null |
physics.chem-ph physics.atm-clus
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Many molecules exhibit multiple conformers that often easily interconvert
under thermal conditions. Therefore, single conformations are difficult to
isolate which renders the study of their distinct chemical reactivities
challenging. We have recently reported a new experimental method for the
characterization of conformer-specific effects in chemical reactions [Y. P.
Chang et al., Science 342, 98 (2013)]. Different conformers are spatially
separated using inhomogeneous electric fields and reacted with a Coulomb
crystal of cold, spatially localized ions in a trap. As a first application, we
studied reactions between the two conformers of 3-aminophenol and Ca$^+$. We
observed a twofold larger rate constant for the $cis$ compared to the $trans$
conformer which was rationalized in terms of the differences in the long-range
ion-molecule interactions. The present article provides a detailed description
of the new method and a full account of the experimental results as well as the
accompanying theoretical calculations.
|
[
{
"created": "Fri, 24 Jan 2014 14:32:33 GMT",
"version": "v1"
}
] |
2014-03-31
|
[
[
"Rösch",
"Daniel",
""
],
[
"Willitsch",
"Stefan",
""
],
[
"Chang",
"Yuan-Pin",
""
],
[
"Küpper",
"Jochen",
""
]
] |
[
-0.05801134929060936,
-0.08592787384986877,
0.012302846647799015,
0.03548242151737213,
0.03263545408844948,
-0.008191141299903393,
0.015810510143637657,
0.03581908345222473,
0.1402999311685562,
0.06833961606025696,
0.04318256676197052,
-0.08566488325595856,
0.007326409686356783,
0.021498985588550568,
0.08536925166845322,
-0.06594745814800262,
-0.048512376844882965,
0.0429009348154068,
-0.07372453063726425,
-0.029112424701452255,
-0.04528060927987099,
-0.08902309089899063,
-0.020487135276198387,
-0.018680965527892113,
0.006478867493569851,
0.05324377119541168,
0.048672035336494446,
0.001676327083259821,
-0.045324213802814484,
0.0598750077188015,
-0.004669553600251675,
-0.002465941710397601,
-0.0720362737774849,
-0.0034551459830254316,
-0.050942447036504745,
0.01998945139348507,
-0.035619862377643585,
-0.06321776658296585,
-0.028574945405125618,
-0.03985873609781265,
0.05637278035283089,
0.07218310981988907,
0.03137912601232529,
0.009630734100937843,
-0.02791128121316433,
-0.07481290400028229,
0.040627364069223404,
-0.012723440304398537,
0.010807104408740997,
-0.06657808274030685,
0.062256164848804474,
0.05270219221711159,
0.02451697178184986,
0.038068681955337524,
-0.03921892121434212,
0.06355109810829163,
-0.0015610343543812633,
0.024684472009539604,
0.016641221940517426,
-0.02598993480205536,
0.029693400487303734,
-0.0006332242046482861,
0.06202467158436775,
-0.023509083315730095,
0.030349822714924812,
-0.00562527310103178,
0.05511708930134773,
-0.040762122720479965,
0.07254725694656372,
0.004232947714626789,
-0.11241897195577621,
-0.02441650629043579,
-0.06160323694348335,
-0.12169995903968811,
0.06596910953521729,
0.017558321356773376,
-0.05029909685254097,
-0.0002654656127560884,
0.00963220838457346,
-0.0969262644648552,
-0.010628614574670792,
-0.018343467265367508,
0.04026905819773674,
0.0014394954778254032,
0.03377378359436989,
-0.02803513966500759,
0.06867686659097672,
-0.03798094019293785,
0.08608604967594147,
0.03535166010260582,
0.05815255269408226,
0.018407948315143585,
0.042993202805519104,
-0.07346376031637192,
-0.05599009245634079,
-0.010832966305315495,
0.03888484835624695,
0.08461368829011917,
0.04172787815332413,
-0.027875591069459915,
0.14095912873744965,
0.062439750880002975,
-0.021425751969218254,
0.02373381145298481,
-0.00427464721724391,
0.04875211417675018,
0.06274901330471039,
0.04286858066916466,
-0.0531904436647892,
0.07763663679361343,
0.01970473863184452,
-0.0001690954522928223,
-0.012840045616030693,
-0.012398557737469673,
0.010286733508110046,
0.08318138867616653,
0.039442028850317,
0.023637868463993073,
0.0075304945930838585,
0.06038598716259003,
-0.038539256900548935,
0.003307593986392021,
-0.002223451156169176,
0.0651334747672081,
0.0032784631475806236,
0.04644491523504257,
-0.11535201966762543,
1.0969588385598812e-33,
0.02399088814854622,
0.0873778760433197,
0.05320572853088379,
0.014414354227483273,
0.07166509330272675,
-0.06974863260984421,
-0.037570077925920486,
0.03046530857682228,
-0.09947406500577927,
0.04065673053264618,
0.0048666843213140965,
0.038232676684856415,
0.08417044579982758,
-0.08470428735017776,
0.005468079354614019,
-0.029279572889208794,
-0.05577383190393448,
0.011754889972507954,
-0.011162039823830128,
0.03234219178557396,
-0.03747482970356941,
0.013841933570802212,
0.04929773509502411,
0.029840288683772087,
-0.036869533360004425,
-0.020231090486049652,
-0.11391383409500122,
0.04188448190689087,
-0.037809599190950394,
-0.027448102831840515,
0.000519756053108722,
-0.02771184965968132,
-0.08111289888620377,
0.0024732404854148626,
-0.005931556690484285,
-0.028811177238821983,
-0.03254316374659538,
0.022027505561709404,
0.0458647683262825,
-0.00743071036413312,
-0.005700214300304651,
-0.08244901895523071,
0.014004362747073174,
0.031018797308206558,
0.07789161801338196,
0.06638959050178528,
0.000821374065708369,
0.029214613139629364,
-0.03101196698844433,
-0.033129189163446426,
-0.010313013568520546,
0.03589954972267151,
-0.02306768111884594,
-0.000591506075579673,
0.027393240481615067,
0.039103761315345764,
-0.00008322297799168155,
-0.014418740756809711,
0.014113730750977993,
0.029785653576254845,
-0.025378186255693436,
0.06977342069149017,
-0.04273131117224693,
0.013388019055128098,
-0.0007065919344313443,
0.057032834738492966,
-0.07284306734800339,
-0.07084629684686661,
-0.005882274359464645,
0.040922585874795914,
-0.008879310451447964,
0.11675971746444702,
-0.02306963875889778,
0.023796861991286278,
0.04813944548368454,
0.040513262152671814,
-0.09554775059223175,
-0.0309529397636652,
0.060464415699243546,
0.014877832494676113,
-0.13390684127807617,
0.00243081315420568,
-0.0022343299351632595,
-0.02837155945599079,
-0.1425371915102005,
-0.043864719569683075,
0.03797192871570587,
-0.030387818813323975,
-0.0728357583284378,
0.03065113164484501,
0.001676057232543826,
-0.027437999844551086,
0.05420530587434769,
-0.0612422451376915,
-0.044996850192546844,
-3.795264243886194e-33,
0.05046167969703674,
-0.09804626554250717,
0.08940142393112183,
-0.04552893713116646,
-0.03854387253522873,
-0.017565758898854256,
-0.06524184346199036,
0.02996109426021576,
0.06461069732904434,
0.0005772694130428135,
0.0869838297367096,
0.04501678794622421,
-0.00014448963338509202,
-0.07046137750148773,
-0.011574012227356434,
-0.030112484470009804,
0.057400479912757874,
0.0718320682644844,
0.06103964522480965,
0.01657862775027752,
0.012508959509432316,
-0.020823707804083824,
0.049704451113939285,
0.017291340976953506,
-0.07979274541139603,
-0.01901078037917614,
0.09322842955589294,
-0.05594615265727043,
-0.0006321258842945099,
0.08273185044527054,
-0.05329515412449837,
0.04557058587670326,
-0.016783498227596283,
-0.016171913594007492,
-0.028295060619711876,
0.019831428304314613,
-0.11476891487836838,
0.009404605254530907,
0.04192524403333664,
0.014466486871242523,
0.03580830618739128,
-0.045048441737890244,
-0.01656349003314972,
0.04783495515584946,
0.020392106845974922,
-0.03412448987364769,
-0.1021803766489029,
0.041582297533750534,
-0.06291544437408447,
-0.016969867050647736,
-0.011783652007579803,
-0.04425252974033356,
-0.024671364575624466,
-0.0384974405169487,
-0.0523381344974041,
0.0752900242805481,
-0.027422940358519554,
-0.04369435831904411,
0.04632804915308952,
-0.03175848722457886,
-0.03815290704369545,
-0.020695606246590614,
0.07837308943271637,
-0.0454522967338562,
-0.03951019421219826,
-0.004200330004096031,
-0.03040456585586071,
0.07687760889530182,
0.11321453750133514,
-0.06207245960831642,
0.04201817512512207,
-0.06312058120965958,
0.030222715809941292,
0.016593443229794502,
0.015009377151727676,
-0.0454428493976593,
0.027218017727136612,
-0.10301466286182404,
-0.0005634244298562407,
-0.005240527912974358,
0.004614450037479401,
0.035866476595401764,
-0.01734669879078865,
-0.08312968909740448,
0.05446291342377663,
-0.0698092132806778,
0.03682727366685867,
0.04084557667374611,
0.032542187720537186,
0.02489791251718998,
0.046120189130306244,
-0.03296945244073868,
0.04492583125829697,
0.04100484400987625,
0.08193022012710571,
-5.3710071057366804e-8,
0.06059061363339424,
0.011725114658474922,
0.02716982364654541,
0.016241349279880524,
-0.004106604494154453,
0.07568056881427765,
-0.06035318598151207,
-0.11615278571844101,
0.004835416097193956,
0.0563359372317791,
-0.02919798716902733,
0.008786416612565517,
0.005736926570534706,
0.07835131138563156,
0.016513217240571976,
0.03717463091015816,
-0.07404126226902008,
0.007648223079741001,
-0.08426384627819061,
-0.03495240956544876,
-0.0931251272559166,
0.05722132325172424,
-0.03669525682926178,
-0.06888965517282486,
0.017174754291772842,
-0.03464878723025322,
-0.08012289553880692,
-0.06130324676632881,
-0.08274899423122406,
-0.006999111268669367,
-0.060132987797260284,
-0.0009958933806046844,
0.008409874513745308,
0.1174127534031868,
0.04877769574522972,
-0.06645269691944122,
-0.0077137090265750885,
-0.05846560001373291,
-0.07694805413484573,
0.013581335544586182,
-0.04083803668618202,
-0.04936092346906662,
-0.006953177507966757,
0.040085531771183014,
0.029995566233992577,
0.016739722341299057,
-0.04483185335993767,
0.09875328838825226,
0.009210070595145226,
0.07803036272525787,
0.022043822333216667,
0.037168655544519424,
-0.05759086459875107,
0.02574555017054081,
-0.08923942595720291,
-0.025502849370241165,
-0.12273555248975754,
0.037012092769145966,
0.017591100186109543,
-0.022781429812312126,
0.02312973514199257,
-0.03090447001159191,
-0.06348385661840439,
-0.061616331338882446
] | null | null | null | null | null | null | null |
[
-0.05801134929060936,
-0.08592787384986877,
0.012302846647799015,
0.03548242151737213,
0.03263545408844948,
-0.008191141299903393,
0.015810510143637657,
0.03581908345222473,
0.1402999311685562,
0.06833961606025696,
0.04318256676197052,
-0.08566488325595856,
0.007326409686356783,
0.021498985588550568,
0.08536925166845322,
-0.06594745814800262,
-0.048512376844882965,
0.0429009348154068,
-0.07372453063726425,
-0.029112424701452255,
-0.04528060927987099,
-0.08902309089899063,
-0.020487135276198387,
-0.018680965527892113,
0.006478867493569851,
0.05324377119541168,
0.048672035336494446,
0.001676327083259821,
-0.045324213802814484,
0.0598750077188015,
-0.004669553600251675,
-0.002465941710397601,
-0.0720362737774849,
-0.0034551459830254316,
-0.050942447036504745,
0.01998945139348507,
-0.035619862377643585,
-0.06321776658296585,
-0.028574945405125618,
-0.03985873609781265,
0.05637278035283089,
0.07218310981988907,
0.03137912601232529,
0.009630734100937843,
-0.02791128121316433,
-0.07481290400028229,
0.040627364069223404,
-0.012723440304398537,
0.010807104408740997,
-0.06657808274030685,
0.062256164848804474,
0.05270219221711159,
0.02451697178184986,
0.038068681955337524,
-0.03921892121434212,
0.06355109810829163,
-0.0015610343543812633,
0.024684472009539604,
0.016641221940517426,
-0.02598993480205536,
0.029693400487303734,
-0.0006332242046482861,
0.06202467158436775,
-0.023509083315730095,
0.030349822714924812,
-0.00562527310103178,
0.05511708930134773,
-0.040762122720479965,
0.07254725694656372,
0.004232947714626789,
-0.11241897195577621,
-0.02441650629043579,
-0.06160323694348335,
-0.12169995903968811,
0.06596910953521729,
0.017558321356773376,
-0.05029909685254097,
-0.0002654656127560884,
0.00963220838457346,
-0.0969262644648552,
-0.010628614574670792,
-0.018343467265367508,
0.04026905819773674,
0.0014394954778254032,
0.03377378359436989,
-0.02803513966500759,
0.06867686659097672,
-0.03798094019293785,
0.08608604967594147,
0.03535166010260582,
0.05815255269408226,
0.018407948315143585,
0.042993202805519104,
-0.07346376031637192,
-0.05599009245634079,
-0.010832966305315495,
0.03888484835624695,
0.08461368829011917,
0.04172787815332413,
-0.027875591069459915,
0.14095912873744965,
0.062439750880002975,
-0.021425751969218254,
0.02373381145298481,
-0.00427464721724391,
0.04875211417675018,
0.06274901330471039,
0.04286858066916466,
-0.0531904436647892,
0.07763663679361343,
0.01970473863184452,
-0.0001690954522928223,
-0.012840045616030693,
-0.012398557737469673,
0.010286733508110046,
0.08318138867616653,
0.039442028850317,
0.023637868463993073,
0.0075304945930838585,
0.06038598716259003,
-0.038539256900548935,
0.003307593986392021,
-0.002223451156169176,
0.0651334747672081,
0.0032784631475806236,
0.04644491523504257,
-0.11535201966762543,
1.0969588385598812e-33,
0.02399088814854622,
0.0873778760433197,
0.05320572853088379,
0.014414354227483273,
0.07166509330272675,
-0.06974863260984421,
-0.037570077925920486,
0.03046530857682228,
-0.09947406500577927,
0.04065673053264618,
0.0048666843213140965,
0.038232676684856415,
0.08417044579982758,
-0.08470428735017776,
0.005468079354614019,
-0.029279572889208794,
-0.05577383190393448,
0.011754889972507954,
-0.011162039823830128,
0.03234219178557396,
-0.03747482970356941,
0.013841933570802212,
0.04929773509502411,
0.029840288683772087,
-0.036869533360004425,
-0.020231090486049652,
-0.11391383409500122,
0.04188448190689087,
-0.037809599190950394,
-0.027448102831840515,
0.000519756053108722,
-0.02771184965968132,
-0.08111289888620377,
0.0024732404854148626,
-0.005931556690484285,
-0.028811177238821983,
-0.03254316374659538,
0.022027505561709404,
0.0458647683262825,
-0.00743071036413312,
-0.005700214300304651,
-0.08244901895523071,
0.014004362747073174,
0.031018797308206558,
0.07789161801338196,
0.06638959050178528,
0.000821374065708369,
0.029214613139629364,
-0.03101196698844433,
-0.033129189163446426,
-0.010313013568520546,
0.03589954972267151,
-0.02306768111884594,
-0.000591506075579673,
0.027393240481615067,
0.039103761315345764,
-0.00008322297799168155,
-0.014418740756809711,
0.014113730750977993,
0.029785653576254845,
-0.025378186255693436,
0.06977342069149017,
-0.04273131117224693,
0.013388019055128098,
-0.0007065919344313443,
0.057032834738492966,
-0.07284306734800339,
-0.07084629684686661,
-0.005882274359464645,
0.040922585874795914,
-0.008879310451447964,
0.11675971746444702,
-0.02306963875889778,
0.023796861991286278,
0.04813944548368454,
0.040513262152671814,
-0.09554775059223175,
-0.0309529397636652,
0.060464415699243546,
0.014877832494676113,
-0.13390684127807617,
0.00243081315420568,
-0.0022343299351632595,
-0.02837155945599079,
-0.1425371915102005,
-0.043864719569683075,
0.03797192871570587,
-0.030387818813323975,
-0.0728357583284378,
0.03065113164484501,
0.001676057232543826,
-0.027437999844551086,
0.05420530587434769,
-0.0612422451376915,
-0.044996850192546844,
-3.795264243886194e-33,
0.05046167969703674,
-0.09804626554250717,
0.08940142393112183,
-0.04552893713116646,
-0.03854387253522873,
-0.017565758898854256,
-0.06524184346199036,
0.02996109426021576,
0.06461069732904434,
0.0005772694130428135,
0.0869838297367096,
0.04501678794622421,
-0.00014448963338509202,
-0.07046137750148773,
-0.011574012227356434,
-0.030112484470009804,
0.057400479912757874,
0.0718320682644844,
0.06103964522480965,
0.01657862775027752,
0.012508959509432316,
-0.020823707804083824,
0.049704451113939285,
0.017291340976953506,
-0.07979274541139603,
-0.01901078037917614,
0.09322842955589294,
-0.05594615265727043,
-0.0006321258842945099,
0.08273185044527054,
-0.05329515412449837,
0.04557058587670326,
-0.016783498227596283,
-0.016171913594007492,
-0.028295060619711876,
0.019831428304314613,
-0.11476891487836838,
0.009404605254530907,
0.04192524403333664,
0.014466486871242523,
0.03580830618739128,
-0.045048441737890244,
-0.01656349003314972,
0.04783495515584946,
0.020392106845974922,
-0.03412448987364769,
-0.1021803766489029,
0.041582297533750534,
-0.06291544437408447,
-0.016969867050647736,
-0.011783652007579803,
-0.04425252974033356,
-0.024671364575624466,
-0.0384974405169487,
-0.0523381344974041,
0.0752900242805481,
-0.027422940358519554,
-0.04369435831904411,
0.04632804915308952,
-0.03175848722457886,
-0.03815290704369545,
-0.020695606246590614,
0.07837308943271637,
-0.0454522967338562,
-0.03951019421219826,
-0.004200330004096031,
-0.03040456585586071,
0.07687760889530182,
0.11321453750133514,
-0.06207245960831642,
0.04201817512512207,
-0.06312058120965958,
0.030222715809941292,
0.016593443229794502,
0.015009377151727676,
-0.0454428493976593,
0.027218017727136612,
-0.10301466286182404,
-0.0005634244298562407,
-0.005240527912974358,
0.004614450037479401,
0.035866476595401764,
-0.01734669879078865,
-0.08312968909740448,
0.05446291342377663,
-0.0698092132806778,
0.03682727366685867,
0.04084557667374611,
0.032542187720537186,
0.02489791251718998,
0.046120189130306244,
-0.03296945244073868,
0.04492583125829697,
0.04100484400987625,
0.08193022012710571,
-5.3710071057366804e-8,
0.06059061363339424,
0.011725114658474922,
0.02716982364654541,
0.016241349279880524,
-0.004106604494154453,
0.07568056881427765,
-0.06035318598151207,
-0.11615278571844101,
0.004835416097193956,
0.0563359372317791,
-0.02919798716902733,
0.008786416612565517,
0.005736926570534706,
0.07835131138563156,
0.016513217240571976,
0.03717463091015816,
-0.07404126226902008,
0.007648223079741001,
-0.08426384627819061,
-0.03495240956544876,
-0.0931251272559166,
0.05722132325172424,
-0.03669525682926178,
-0.06888965517282486,
0.017174754291772842,
-0.03464878723025322,
-0.08012289553880692,
-0.06130324676632881,
-0.08274899423122406,
-0.006999111268669367,
-0.060132987797260284,
-0.0009958933806046844,
0.008409874513745308,
0.1174127534031868,
0.04877769574522972,
-0.06645269691944122,
-0.0077137090265750885,
-0.05846560001373291,
-0.07694805413484573,
0.013581335544586182,
-0.04083803668618202,
-0.04936092346906662,
-0.006953177507966757,
0.040085531771183014,
0.029995566233992577,
0.016739722341299057,
-0.04483185335993767,
0.09875328838825226,
0.009210070595145226,
0.07803036272525787,
0.022043822333216667,
0.037168655544519424,
-0.05759086459875107,
0.02574555017054081,
-0.08923942595720291,
-0.025502849370241165,
-0.12273555248975754,
0.037012092769145966,
0.017591100186109543,
-0.022781429812312126,
0.02312973514199257,
-0.03090447001159191,
-0.06348385661840439,
-0.061616331338882446
] |
1401.6348
|
Atif Khan
|
Atif Ali Khan, Oumair Naseer
|
Fuzzy Logic Based Multi User Adaptive Test System
|
Published online: Aug 20, 2012
|
International Journal of Soft Computing And Software Engineering
(JSCSE), e-ISSN: 2251-7545, Vol. 2, no. 8, 2012
|
10.7321/jscse.v2.n8.1
| null |
cs.CY
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The present proliferation of e-learning has been actively underway for the
last 10 years. Current research in Adaptive Testing System focuses on the
development of psychometric models with items selection strategies applicable
to adaptive testing processes. The key aspect of proposed Adaptive Testing
System is to develop an increasingly sophisticated latent trait model which can
assist users in developing and enhancing their skills. Computerized Adaptive
Test (CAT) System requires a lot of investment in time and effort to develop
analyze and administrate an adaptive test. In this paper a fuzzy logic based
Multi User Adaptive Test System (MUATS) is developed. Which is a Short
Messaging Service (SMS) based System, currently integrated with GSM network
based on the new psychometric model in education assessment. MUATS is not only
a platform independent Adaptive Test System but also it eases the evaluation
effort for adaptive test process. It further uses fuzzy logic to pick the most
appropriate question from the pool of database for a specific user to be asked
which makes the overall system an intelligent one.
|
[
{
"created": "Fri, 24 Jan 2014 14:33:26 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Khan",
"Atif Ali",
""
],
[
"Naseer",
"Oumair",
""
]
] |
[
0.03224688023328781,
0.0010232211789116263,
0.022081295028328896,
0.014150748029351234,
-0.019233714789152145,
0.002617754740640521,
0.02787971869111061,
0.023219158872961998,
-0.03711552917957306,
0.017062395811080933,
0.07967507839202881,
-0.02179502509534359,
0.06800434738397598,
-0.01687106117606163,
0.05246472731232643,
-0.054370082914829254,
0.01060594990849495,
-0.06252503395080566,
-0.0007462858338840306,
-0.06978338211774826,
-0.007394064217805862,
0.007541472092270851,
0.001887788879685104,
0.046090446412563324,
-0.0290359053760767,
-0.04240991175174713,
-0.05063140392303467,
-0.012208553962409496,
-0.012854781933128834,
0.0056205266155302525,
0.07067519426345825,
0.044376060366630554,
0.019152125343680382,
0.12160436064004898,
-0.08038277179002762,
-0.08853375911712646,
-0.023740313947200775,
0.08227469772100449,
-0.02143123187124729,
0.05614503473043442,
-0.1583549827337265,
-0.0967448502779007,
-0.0698634684085846,
0.01664048805832863,
0.03834288939833641,
-0.07964551448822021,
-0.08526579290628433,
-0.03929196670651436,
-0.017655611038208008,
0.05836286395788193,
-0.025022456422448158,
-0.028493016958236694,
-0.003597869537770748,
-0.030104050412774086,
-0.020776137709617615,
0.08753398805856705,
-0.019004033878445625,
0.05340022221207619,
-0.0077935634180903435,
0.02387774921953678,
-0.06894116848707199,
-0.08025366067886353,
0.020597388967871666,
0.004737272392958403,
0.014046875759959221,
0.02270183525979519,
-0.0667169913649559,
0.004388333763927221,
0.062263939529657364,
-0.10302019864320755,
-0.06862731277942657,
0.02148595079779625,
-0.07357455790042877,
0.0332193598151207,
0.00625787815079093,
0.05153707414865494,
-0.02001630701124668,
0.016542963683605194,
0.06820157915353775,
0.10053128749132156,
-0.10407669842243195,
0.008878054097294807,
-0.018261518329381943,
-0.03009493462741375,
0.1148998886346817,
0.022321484982967377,
0.04170471429824829,
0.01052966807037592,
-0.04106735810637474,
-0.06476246565580368,
0.13243995606899261,
0.04351387917995453,
0.023049255833029747,
0.09292955696582794,
-0.030406011268496513,
-0.0011773646110668778,
0.039455708116292953,
-0.031003978103399277,
-0.02691720612347126,
0.048789408057928085,
0.04748062789440155,
0.07735949754714966,
0.0055766636505723,
0.01755654625594616,
-0.006481511052697897,
0.02015095390379429,
0.09085044264793396,
-0.05116775259375572,
0.0466366782784462,
-0.12172256410121918,
-0.05471409484744072,
-0.008299334906041622,
0.015268722549080849,
-0.013964038342237473,
-0.03970051556825638,
-0.03673334792256355,
-0.01492072269320488,
0.05746431648731232,
0.016800640150904655,
0.08907490968704224,
0.06703758984804153,
0.03748832270503044,
-0.0026481933891773224,
-0.01669197902083397,
0.007514209020882845,
0.0011786893010139465,
-0.0510585717856884,
3.9472710918108705e-33,
0.0001625089644221589,
0.007276375778019428,
0.0396544523537159,
-0.007354656234383583,
-0.00020639298600144684,
-0.005681297741830349,
0.015831317752599716,
0.08725021034479141,
-0.05225791782140732,
-0.04425027593970299,
0.016561096534132957,
0.11214464902877808,
-0.05883414298295975,
0.03219054639339447,
0.054765354841947556,
-0.003746169386431575,
-0.07730664312839508,
-0.006619069259613752,
0.08379939943552017,
0.015476761385798454,
-0.015316355042159557,
-0.0835895910859108,
0.053906310349702835,
-0.07301875948905945,
0.00770507613196969,
0.0049873171374201775,
0.06209291145205498,
0.010668021626770496,
0.028126800432801247,
0.0018126944778487086,
-0.03151273727416992,
-0.08256888389587402,
-0.039271220564842224,
0.04836384952068329,
-0.03568470850586891,
-0.05505501478910446,
0.004785929806530476,
-0.0027299493085592985,
-0.015445270575582981,
-0.010163596831262112,
-0.09823650121688843,
-0.050903983414173126,
0.05634722486138344,
0.006127276923507452,
-0.060113031417131424,
0.0028897468000650406,
-0.010782180353999138,
-0.08594492822885513,
0.02605617605149746,
0.039394818246364594,
0.019896794110536575,
-0.04563148692250252,
-0.016780775040388107,
-0.045772332698106766,
-0.03864694759249687,
0.04323654994368553,
-0.013786091469228268,
-0.02119416557252407,
-0.02652307040989399,
0.020653635263442993,
-0.053658533841371536,
-0.004977730102837086,
0.0040956889279186726,
0.045450590550899506,
0.03007405437529087,
-0.11585800349712372,
-0.04304100573062897,
-0.07577455788850784,
0.11427780985832214,
-0.007556143216788769,
0.00486742751672864,
-0.04870050027966499,
-0.007834979332983494,
0.07130880653858185,
-0.08199597895145416,
-0.052371662110090256,
-0.02049115113914013,
0.038730815052986145,
-0.03938691318035126,
-0.03445536643266678,
0.08576476573944092,
0.002479302929714322,
-0.014817371964454651,
-0.09156603366136551,
0.022631848230957985,
-0.00773577718064189,
-0.031923893839120865,
-0.12620829045772552,
0.0043787783943116665,
0.012829405255615711,
-0.057592201977968216,
0.05238376930356026,
0.0029382677748799324,
0.08817745000123978,
0.06535530835390091,
-3.2894662898006415e-33,
0.018439432606101036,
-0.03962399438023567,
-0.03674530237913132,
0.052762728184461594,
0.09782935678958893,
-0.0038907090201973915,
0.1255500316619873,
0.023297952488064766,
-0.0591668039560318,
-0.03316148743033409,
-0.017975134775042534,
-0.031372543424367905,
0.011226694099605083,
-0.028510168194770813,
0.0138444434851408,
0.07883129268884659,
-0.07859857380390167,
-0.0007198688690550625,
0.013627023436129093,
-0.0018716119229793549,
-0.026926200836896896,
0.09893147647380829,
-0.029544541612267494,
-0.006839937064796686,
-0.08537221699953079,
-0.049807529896497726,
-0.028290115296840668,
-0.019865043461322784,
0.029084553942084312,
0.0003286904830019921,
0.01163981668651104,
-0.03253939375281334,
0.031073246151208878,
0.039182502776384354,
0.06593214720487595,
-0.04906630143523216,
0.053579650819301605,
-0.02938082441687584,
0.009205876849591732,
0.14210546016693115,
0.03886478766798973,
0.04430308938026428,
-0.0001417906314600259,
-0.06354411691427231,
0.037610847502946854,
0.1277778297662735,
0.04699372127652168,
-0.03408733382821083,
0.008640609681606293,
0.02197280339896679,
0.05180789902806282,
-0.062218014150857925,
0.023169396445155144,
-0.01044310349971056,
0.021734753623604774,
-0.02660389058291912,
0.012006616219878197,
-0.053070537745952606,
-0.07075200974941254,
0.006389880087226629,
0.04095838591456413,
-0.06419383734464645,
0.12532466650009155,
0.012247618287801743,
0.03132513538002968,
-0.05583709478378296,
0.0490921251475811,
0.10418701171875,
-0.05184779316186905,
-0.015203943476080894,
-0.0004800197493750602,
0.0052520292811095715,
0.005312828812748194,
-0.04333091527223587,
0.14221538603305817,
-0.040598902851343155,
-0.08470926433801651,
-0.02346021868288517,
-0.034871023148298264,
-0.08321774750947952,
-0.013444093987345695,
0.007517960853874683,
-0.02514304779469967,
0.04344808682799339,
-0.01824669912457466,
0.003959308378398418,
0.0935346707701683,
0.07502451539039612,
0.03312582150101662,
0.02868640050292015,
0.00124575465451926,
0.09169890731573105,
-0.017482616007328033,
0.024223539978265762,
-0.04425725340843201,
-4.2645968534316125e-8,
0.016289493069052696,
-0.059125687927007675,
-0.025524312630295753,
0.05838450416922569,
-0.0009039008291438222,
-0.028124457225203514,
-0.012832694686949253,
-0.029707174748182297,
0.029802056029438972,
-0.0068276869133114815,
-0.018615005537867546,
-0.037270184606313705,
0.009199202992022038,
0.0009985024807974696,
0.05657850578427315,
-0.00790662132203579,
0.05468505248427391,
0.03563358634710312,
0.058118876069784164,
0.019215671345591545,
0.12455842643976212,
0.0872902199625969,
-0.011008784174919128,
0.08212009072303772,
-0.025948936119675636,
0.025638604536652565,
-0.01382905337959528,
0.059783775359392166,
-0.05998780578374863,
0.014267847873270512,
0.06478923559188843,
-0.009697452187538147,
0.025184206664562225,
-0.0982208102941513,
0.04140076786279678,
-0.010185481049120426,
0.03640681132674217,
-0.03200345113873482,
-0.021106930449604988,
0.012205371633172035,
-0.0556296780705452,
-0.04447903111577034,
0.02186286635696888,
-0.031075533479452133,
0.019904717803001404,
-0.08175833523273468,
-0.06774400919675827,
-0.09663090854883194,
-0.028630996122956276,
0.013463019393384457,
0.042450953274965286,
-0.03947979211807251,
-0.0013139164075255394,
-0.016713395714759827,
0.06289201229810715,
-0.08875039964914322,
0.0761713907122612,
0.018750406801700592,
-0.014269769191741943,
-0.009277823381125927,
0.07599138468503952,
0.017317067831754684,
-0.019386056810617447,
0.05153720825910568
] | null | null | null | null | null | null | null |
[
0.03224688023328781,
0.0010232211789116263,
0.022081295028328896,
0.014150748029351234,
-0.019233714789152145,
0.002617754740640521,
0.02787971869111061,
0.023219158872961998,
-0.03711552917957306,
0.017062395811080933,
0.07967507839202881,
-0.02179502509534359,
0.06800434738397598,
-0.01687106117606163,
0.05246472731232643,
-0.054370082914829254,
0.01060594990849495,
-0.06252503395080566,
-0.0007462858338840306,
-0.06978338211774826,
-0.007394064217805862,
0.007541472092270851,
0.001887788879685104,
0.046090446412563324,
-0.0290359053760767,
-0.04240991175174713,
-0.05063140392303467,
-0.012208553962409496,
-0.012854781933128834,
0.0056205266155302525,
0.07067519426345825,
0.044376060366630554,
0.019152125343680382,
0.12160436064004898,
-0.08038277179002762,
-0.08853375911712646,
-0.023740313947200775,
0.08227469772100449,
-0.02143123187124729,
0.05614503473043442,
-0.1583549827337265,
-0.0967448502779007,
-0.0698634684085846,
0.01664048805832863,
0.03834288939833641,
-0.07964551448822021,
-0.08526579290628433,
-0.03929196670651436,
-0.017655611038208008,
0.05836286395788193,
-0.025022456422448158,
-0.028493016958236694,
-0.003597869537770748,
-0.030104050412774086,
-0.020776137709617615,
0.08753398805856705,
-0.019004033878445625,
0.05340022221207619,
-0.0077935634180903435,
0.02387774921953678,
-0.06894116848707199,
-0.08025366067886353,
0.020597388967871666,
0.004737272392958403,
0.014046875759959221,
0.02270183525979519,
-0.0667169913649559,
0.004388333763927221,
0.062263939529657364,
-0.10302019864320755,
-0.06862731277942657,
0.02148595079779625,
-0.07357455790042877,
0.0332193598151207,
0.00625787815079093,
0.05153707414865494,
-0.02001630701124668,
0.016542963683605194,
0.06820157915353775,
0.10053128749132156,
-0.10407669842243195,
0.008878054097294807,
-0.018261518329381943,
-0.03009493462741375,
0.1148998886346817,
0.022321484982967377,
0.04170471429824829,
0.01052966807037592,
-0.04106735810637474,
-0.06476246565580368,
0.13243995606899261,
0.04351387917995453,
0.023049255833029747,
0.09292955696582794,
-0.030406011268496513,
-0.0011773646110668778,
0.039455708116292953,
-0.031003978103399277,
-0.02691720612347126,
0.048789408057928085,
0.04748062789440155,
0.07735949754714966,
0.0055766636505723,
0.01755654625594616,
-0.006481511052697897,
0.02015095390379429,
0.09085044264793396,
-0.05116775259375572,
0.0466366782784462,
-0.12172256410121918,
-0.05471409484744072,
-0.008299334906041622,
0.015268722549080849,
-0.013964038342237473,
-0.03970051556825638,
-0.03673334792256355,
-0.01492072269320488,
0.05746431648731232,
0.016800640150904655,
0.08907490968704224,
0.06703758984804153,
0.03748832270503044,
-0.0026481933891773224,
-0.01669197902083397,
0.007514209020882845,
0.0011786893010139465,
-0.0510585717856884,
3.9472710918108705e-33,
0.0001625089644221589,
0.007276375778019428,
0.0396544523537159,
-0.007354656234383583,
-0.00020639298600144684,
-0.005681297741830349,
0.015831317752599716,
0.08725021034479141,
-0.05225791782140732,
-0.04425027593970299,
0.016561096534132957,
0.11214464902877808,
-0.05883414298295975,
0.03219054639339447,
0.054765354841947556,
-0.003746169386431575,
-0.07730664312839508,
-0.006619069259613752,
0.08379939943552017,
0.015476761385798454,
-0.015316355042159557,
-0.0835895910859108,
0.053906310349702835,
-0.07301875948905945,
0.00770507613196969,
0.0049873171374201775,
0.06209291145205498,
0.010668021626770496,
0.028126800432801247,
0.0018126944778487086,
-0.03151273727416992,
-0.08256888389587402,
-0.039271220564842224,
0.04836384952068329,
-0.03568470850586891,
-0.05505501478910446,
0.004785929806530476,
-0.0027299493085592985,
-0.015445270575582981,
-0.010163596831262112,
-0.09823650121688843,
-0.050903983414173126,
0.05634722486138344,
0.006127276923507452,
-0.060113031417131424,
0.0028897468000650406,
-0.010782180353999138,
-0.08594492822885513,
0.02605617605149746,
0.039394818246364594,
0.019896794110536575,
-0.04563148692250252,
-0.016780775040388107,
-0.045772332698106766,
-0.03864694759249687,
0.04323654994368553,
-0.013786091469228268,
-0.02119416557252407,
-0.02652307040989399,
0.020653635263442993,
-0.053658533841371536,
-0.004977730102837086,
0.0040956889279186726,
0.045450590550899506,
0.03007405437529087,
-0.11585800349712372,
-0.04304100573062897,
-0.07577455788850784,
0.11427780985832214,
-0.007556143216788769,
0.00486742751672864,
-0.04870050027966499,
-0.007834979332983494,
0.07130880653858185,
-0.08199597895145416,
-0.052371662110090256,
-0.02049115113914013,
0.038730815052986145,
-0.03938691318035126,
-0.03445536643266678,
0.08576476573944092,
0.002479302929714322,
-0.014817371964454651,
-0.09156603366136551,
0.022631848230957985,
-0.00773577718064189,
-0.031923893839120865,
-0.12620829045772552,
0.0043787783943116665,
0.012829405255615711,
-0.057592201977968216,
0.05238376930356026,
0.0029382677748799324,
0.08817745000123978,
0.06535530835390091,
-3.2894662898006415e-33,
0.018439432606101036,
-0.03962399438023567,
-0.03674530237913132,
0.052762728184461594,
0.09782935678958893,
-0.0038907090201973915,
0.1255500316619873,
0.023297952488064766,
-0.0591668039560318,
-0.03316148743033409,
-0.017975134775042534,
-0.031372543424367905,
0.011226694099605083,
-0.028510168194770813,
0.0138444434851408,
0.07883129268884659,
-0.07859857380390167,
-0.0007198688690550625,
0.013627023436129093,
-0.0018716119229793549,
-0.026926200836896896,
0.09893147647380829,
-0.029544541612267494,
-0.006839937064796686,
-0.08537221699953079,
-0.049807529896497726,
-0.028290115296840668,
-0.019865043461322784,
0.029084553942084312,
0.0003286904830019921,
0.01163981668651104,
-0.03253939375281334,
0.031073246151208878,
0.039182502776384354,
0.06593214720487595,
-0.04906630143523216,
0.053579650819301605,
-0.02938082441687584,
0.009205876849591732,
0.14210546016693115,
0.03886478766798973,
0.04430308938026428,
-0.0001417906314600259,
-0.06354411691427231,
0.037610847502946854,
0.1277778297662735,
0.04699372127652168,
-0.03408733382821083,
0.008640609681606293,
0.02197280339896679,
0.05180789902806282,
-0.062218014150857925,
0.023169396445155144,
-0.01044310349971056,
0.021734753623604774,
-0.02660389058291912,
0.012006616219878197,
-0.053070537745952606,
-0.07075200974941254,
0.006389880087226629,
0.04095838591456413,
-0.06419383734464645,
0.12532466650009155,
0.012247618287801743,
0.03132513538002968,
-0.05583709478378296,
0.0490921251475811,
0.10418701171875,
-0.05184779316186905,
-0.015203943476080894,
-0.0004800197493750602,
0.0052520292811095715,
0.005312828812748194,
-0.04333091527223587,
0.14221538603305817,
-0.040598902851343155,
-0.08470926433801651,
-0.02346021868288517,
-0.034871023148298264,
-0.08321774750947952,
-0.013444093987345695,
0.007517960853874683,
-0.02514304779469967,
0.04344808682799339,
-0.01824669912457466,
0.003959308378398418,
0.0935346707701683,
0.07502451539039612,
0.03312582150101662,
0.02868640050292015,
0.00124575465451926,
0.09169890731573105,
-0.017482616007328033,
0.024223539978265762,
-0.04425725340843201,
-4.2645968534316125e-8,
0.016289493069052696,
-0.059125687927007675,
-0.025524312630295753,
0.05838450416922569,
-0.0009039008291438222,
-0.028124457225203514,
-0.012832694686949253,
-0.029707174748182297,
0.029802056029438972,
-0.0068276869133114815,
-0.018615005537867546,
-0.037270184606313705,
0.009199202992022038,
0.0009985024807974696,
0.05657850578427315,
-0.00790662132203579,
0.05468505248427391,
0.03563358634710312,
0.058118876069784164,
0.019215671345591545,
0.12455842643976212,
0.0872902199625969,
-0.011008784174919128,
0.08212009072303772,
-0.025948936119675636,
0.025638604536652565,
-0.01382905337959528,
0.059783775359392166,
-0.05998780578374863,
0.014267847873270512,
0.06478923559188843,
-0.009697452187538147,
0.025184206664562225,
-0.0982208102941513,
0.04140076786279678,
-0.010185481049120426,
0.03640681132674217,
-0.03200345113873482,
-0.021106930449604988,
0.012205371633172035,
-0.0556296780705452,
-0.04447903111577034,
0.02186286635696888,
-0.031075533479452133,
0.019904717803001404,
-0.08175833523273468,
-0.06774400919675827,
-0.09663090854883194,
-0.028630996122956276,
0.013463019393384457,
0.042450953274965286,
-0.03947979211807251,
-0.0013139164075255394,
-0.016713395714759827,
0.06289201229810715,
-0.08875039964914322,
0.0761713907122612,
0.018750406801700592,
-0.014269769191741943,
-0.009277823381125927,
0.07599138468503952,
0.017317067831754684,
-0.019386056810617447,
0.05153720825910568
] |
1401.6351
|
Sergey Khrapak
|
S. A. Khrapak, A. G. Khrapak, A. V. Ivlev, and G. E. Morfill
|
Simple estimation of thermodynamic properties of Yukawa systems
|
To be published in Phys. Rev. E
|
Phys. Rev. E 89, 023102 (2014)
|
10.1103/PhysRevE.89.023102
| null |
physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A simple analytical approach to estimate thermodynamic properties of model
Yukawa systems is presented. The approach extends the traditional
Debye-H\"{u}ckel theory into the regime of moderate coupling and is able to
qualitatively reproduce thermodynamics of Yukawa systems up to the fluid-solid
phase transition. The simplistic equation of state (pressure equation) is
derived and applied to the hydrodynamic description of the longitudinal waves
in Yukawa fluids. The relevance of this study to the topic of complex (dusty)
plasmas is discussed.
|
[
{
"created": "Fri, 24 Jan 2014 14:37:00 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Khrapak",
"S. A.",
""
],
[
"Khrapak",
"A. G.",
""
],
[
"Ivlev",
"A. V.",
""
],
[
"Morfill",
"G. E.",
""
]
] |
[
-0.18478555977344513,
-0.0019624875858426094,
0.06896635890007019,
-0.04651728272438049,
-0.057190313935279846,
0.002884147223085165,
0.019091350957751274,
0.030853817239403725,
0.020551469177007675,
-0.04635730758309364,
-0.0016860258765518665,
-0.09185134619474411,
0.013519566506147385,
-0.0059129283763468266,
0.04315061494708061,
-0.13312265276908875,
0.025029102340340614,
0.022800393402576447,
-0.061600688844919205,
0.004427797626703978,
-0.04787450283765793,
0.02486170269548893,
-0.10220396518707275,
-0.02822856418788433,
0.1425929069519043,
0.059389255940914154,
0.10331469774246216,
0.023007217794656754,
-0.04457258805632591,
-0.015722036361694336,
-0.013557507656514645,
-0.0644756481051445,
-0.014852919615805149,
0.03986356034874916,
0.0734095647931099,
0.06677713990211487,
0.02082212269306183,
-0.027798207476735115,
-0.11384636908769608,
0.028735199943184853,
-0.0381823293864727,
-0.02374081499874592,
0.016986027359962463,
0.05333041772246361,
0.05791425332427025,
-0.0031938825268298388,
-0.025945551693439484,
-0.033506255596876144,
0.025516120716929436,
-0.0325152687728405,
-0.05569225922226906,
0.04461407661437988,
0.01275624893605709,
0.10043694078922272,
0.055435821413993835,
-0.002645308617502451,
0.09257325530052185,
-0.03110710345208645,
-0.03531565144658089,
0.002197367837652564,
-0.07988633960485458,
-0.020613666623830795,
-0.05659737437963486,
0.010880091227591038,
0.02519640512764454,
-0.018656885251402855,
-0.0016191016184166074,
0.04211828485131264,
0.04354424774646759,
-0.027913516387343407,
-0.03909461945295334,
-0.02412336692214012,
0.01837238483130932,
-0.08115494251251221,
-0.02191055193543434,
-0.09544029831886292,
-0.004729846492409706,
0.057577624917030334,
0.009787468239665031,
-0.03220513463020325,
-0.03192649036645889,
0.0056035784073174,
0.030012352392077446,
-0.0418083555996418,
-0.09097902476787567,
0.04440140351653099,
-0.030958624556660652,
-0.10702034085988998,
0.01808178424835205,
-0.009570287540555,
-0.03454889357089996,
-0.011200081557035446,
-0.02599063515663147,
-0.013550642877817154,
0.013213042169809341,
0.03746551647782326,
0.06900487840175629,
0.062149543315172195,
0.08640065044164658,
0.00995133351534605,
-0.019608667120337486,
0.004928942304104567,
0.07551798224449158,
0.007026384584605694,
-0.0180745217949152,
-0.03000052459537983,
0.049415472894907,
0.020539581775665283,
-0.02939508855342865,
0.030112702399492264,
0.016584808006882668,
-0.014528379775583744,
-0.03550688922405243,
0.00828507449477911,
0.0632227435708046,
-0.05654720589518547,
-0.0025932283606380224,
0.007112074177712202,
-0.030188050121068954,
-0.07469260692596436,
0.03879610076546669,
-0.0047915903851389885,
0.01726847141981125,
0.11468755453824997,
-0.049055181443691254,
0.039750050753355026,
0.010344168171286583,
-5.706276613948518e-34,
0.03802778944373131,
0.0009189602569676936,
-0.0514184832572937,
0.011139506474137306,
-0.11670026183128357,
0.028528932482004166,
-0.09039047360420227,
0.02979741245508194,
-0.03049108199775219,
0.0136480201035738,
-0.014533828012645245,
0.12030479311943054,
-0.08418526500463486,
-0.0410475879907608,
-0.053143106400966644,
0.028693625703454018,
-0.02600140869617462,
0.0009798510000109673,
0.02684715948998928,
0.06545943766832352,
0.06932827830314636,
0.038198258727788925,
-0.01825971156358719,
-0.071266308426857,
0.025937726721167564,
0.03111373819410801,
-0.0022390764206647873,
0.008721261285245419,
-0.09072303026914597,
0.03227581828832626,
0.09607168287038803,
0.01770632527768612,
-0.03988751769065857,
0.002785175107419491,
-0.08300692588090897,
-0.020389094948768616,
-0.0731586217880249,
0.05052896589040756,
-0.005118594039231539,
-0.01975671760737896,
-0.047080136835575104,
-0.04525722190737724,
-0.12570656836032867,
0.017374107614159584,
0.04101555049419403,
-0.016682613641023636,
0.0841657891869545,
-0.037819281220436096,
0.027118872851133347,
-0.05598747357726097,
-0.02925577387213707,
-0.023547833785414696,
0.04029707983136177,
0.0772591382265091,
0.027623746544122696,
0.05436239391565323,
0.11075909435749054,
-0.010934651829302311,
-0.06991752982139587,
0.01599312387406826,
0.01231581624597311,
0.07170617580413818,
0.08367087692022324,
-0.08288842439651489,
0.045149900019168854,
0.019561339169740677,
-0.005022169090807438,
0.01808330789208412,
0.04331842064857483,
-0.07569345831871033,
0.0014882885152474046,
-0.01379111222922802,
0.06039811298251152,
0.02045319601893425,
0.017181986942887306,
-0.12976665794849396,
-0.010034055449068546,
0.05751887708902359,
-0.02391723170876503,
0.015060174278914928,
0.01859728805720806,
-0.06119200959801674,
0.02439912222325802,
0.03533818945288658,
0.04037642478942871,
0.007052992936223745,
-0.018217748031020164,
0.061351146548986435,
-0.11330174654722214,
-0.039632346481084824,
-0.06052274629473686,
0.026698371395468712,
0.09826188534498215,
-0.01464835461229086,
0.08354897797107697,
-4.0736675912509755e-33,
0.06588757038116455,
0.01725931279361248,
-0.04863961786031723,
0.04545212537050247,
0.03398408740758896,
0.011731002479791641,
-0.028853632509708405,
0.10176210850477219,
-0.0526735745370388,
0.020459009334445,
0.06930828839540482,
-0.014472025446593761,
-0.046639978885650635,
-0.06452465057373047,
-0.009263605810701847,
0.04382723569869995,
0.003883295925334096,
-0.029708415269851685,
0.008076806552708149,
-0.05578941851854324,
-0.027095463126897812,
-0.052615974098443985,
0.04482171684503555,
-0.001144533627666533,
-0.03923847898840904,
-0.0529419481754303,
0.061081960797309875,
0.0032271600794047117,
-0.033899832516908646,
0.0754234790802002,
-0.015437743626534939,
0.00923999771475792,
-0.016301026567816734,
0.03472186625003815,
-0.003264640225097537,
-0.011442880146205425,
-0.013747105374932289,
0.01755577139556408,
0.01400241069495678,
-0.02431853488087654,
0.001957239815965295,
0.018140029162168503,
0.03941500931978226,
-0.04031527414917946,
-0.06852962076663971,
0.03491312637925148,
0.057717498391866684,
0.02256801165640354,
0.022505758330225945,
-0.051923900842666626,
0.058582842350006104,
-0.02880232408642769,
-0.002763316733762622,
-0.002494371496140957,
-0.11545586585998535,
0.04414195194840431,
-0.005747420247644186,
0.02425307221710682,
0.010730717331171036,
-0.044778309762477875,
-0.056681446731090546,
-0.1257496178150177,
0.05040496215224266,
0.058780498802661896,
-0.06892471760511398,
-0.0071380906738340855,
-0.10961692780256271,
0.0316363088786602,
0.040978413075208664,
0.033634405583143234,
-0.005029009189456701,
-0.059551455080509186,
0.06634712219238281,
0.008040085434913635,
0.09504298865795135,
-0.012970303185284138,
0.020495928823947906,
-0.005073103588074446,
0.044506099075078964,
-0.075141042470932,
-0.018195275217294693,
0.0631745383143425,
-0.06021334230899811,
-0.05181349813938141,
0.06274387985467911,
-0.031602244824171066,
-0.03624033182859421,
-0.06928892433643341,
-0.027822550386190414,
0.031791508197784424,
0.040854789316654205,
0.003135188017040491,
0.020852727815508842,
0.038230810314416885,
-0.0333060696721077,
-4.643791839953337e-8,
0.1116505116224289,
-0.06317951530218124,
0.07348860055208206,
-0.009145899675786495,
0.0519285649061203,
0.05044951289892197,
-0.04032720997929573,
-0.01744871214032173,
-0.012738431803882122,
0.06840091198682785,
-0.015714222565293312,
0.08994098752737045,
0.0297752246260643,
-0.04006175324320793,
-0.022438962012529373,
-0.011393873021006584,
0.002009055344387889,
0.003033093176782131,
-0.010265623219311237,
0.023043610155582428,
0.16867180168628693,
-0.02273053489625454,
-0.041894301772117615,
0.07490915060043335,
-0.012924459762871265,
0.10435181856155396,
-0.011880451813340187,
-0.08123009651899338,
-0.001428835210390389,
0.0277665127068758,
-0.034873005002737045,
0.03810817003250122,
-0.09697085618972778,
0.016819315031170845,
-0.06293576210737228,
-0.031123371794819832,
-0.009889140725135803,
0.021169893443584442,
-0.04035882651805878,
-0.04267062991857529,
-0.03334225341677666,
-0.055513568222522736,
0.013424702920019627,
-0.004188993480056524,
0.0014946649316698313,
0.11173097789287567,
-0.051643792539834976,
-0.018205465748906136,
-0.024174360558390617,
0.11414362490177155,
-0.05528009682893753,
0.0329279899597168,
0.001120464177802205,
-0.046275991946458817,
-0.10075526684522629,
-0.019519280642271042,
-0.01011775154620409,
-0.00747384037822485,
0.0681309849023819,
-0.024525661021471024,
0.0051252455450594425,
0.0035039486829191446,
-0.03425847366452217,
-0.03828040510416031
] | null | null | null | null | null | null | null |
[
-0.18478555977344513,
-0.0019624875858426094,
0.06896635890007019,
-0.04651728272438049,
-0.057190313935279846,
0.002884147223085165,
0.019091350957751274,
0.030853817239403725,
0.020551469177007675,
-0.04635730758309364,
-0.0016860258765518665,
-0.09185134619474411,
0.013519566506147385,
-0.0059129283763468266,
0.04315061494708061,
-0.13312265276908875,
0.025029102340340614,
0.022800393402576447,
-0.061600688844919205,
0.004427797626703978,
-0.04787450283765793,
0.02486170269548893,
-0.10220396518707275,
-0.02822856418788433,
0.1425929069519043,
0.059389255940914154,
0.10331469774246216,
0.023007217794656754,
-0.04457258805632591,
-0.015722036361694336,
-0.013557507656514645,
-0.0644756481051445,
-0.014852919615805149,
0.03986356034874916,
0.0734095647931099,
0.06677713990211487,
0.02082212269306183,
-0.027798207476735115,
-0.11384636908769608,
0.028735199943184853,
-0.0381823293864727,
-0.02374081499874592,
0.016986027359962463,
0.05333041772246361,
0.05791425332427025,
-0.0031938825268298388,
-0.025945551693439484,
-0.033506255596876144,
0.025516120716929436,
-0.0325152687728405,
-0.05569225922226906,
0.04461407661437988,
0.01275624893605709,
0.10043694078922272,
0.055435821413993835,
-0.002645308617502451,
0.09257325530052185,
-0.03110710345208645,
-0.03531565144658089,
0.002197367837652564,
-0.07988633960485458,
-0.020613666623830795,
-0.05659737437963486,
0.010880091227591038,
0.02519640512764454,
-0.018656885251402855,
-0.0016191016184166074,
0.04211828485131264,
0.04354424774646759,
-0.027913516387343407,
-0.03909461945295334,
-0.02412336692214012,
0.01837238483130932,
-0.08115494251251221,
-0.02191055193543434,
-0.09544029831886292,
-0.004729846492409706,
0.057577624917030334,
0.009787468239665031,
-0.03220513463020325,
-0.03192649036645889,
0.0056035784073174,
0.030012352392077446,
-0.0418083555996418,
-0.09097902476787567,
0.04440140351653099,
-0.030958624556660652,
-0.10702034085988998,
0.01808178424835205,
-0.009570287540555,
-0.03454889357089996,
-0.011200081557035446,
-0.02599063515663147,
-0.013550642877817154,
0.013213042169809341,
0.03746551647782326,
0.06900487840175629,
0.062149543315172195,
0.08640065044164658,
0.00995133351534605,
-0.019608667120337486,
0.004928942304104567,
0.07551798224449158,
0.007026384584605694,
-0.0180745217949152,
-0.03000052459537983,
0.049415472894907,
0.020539581775665283,
-0.02939508855342865,
0.030112702399492264,
0.016584808006882668,
-0.014528379775583744,
-0.03550688922405243,
0.00828507449477911,
0.0632227435708046,
-0.05654720589518547,
-0.0025932283606380224,
0.007112074177712202,
-0.030188050121068954,
-0.07469260692596436,
0.03879610076546669,
-0.0047915903851389885,
0.01726847141981125,
0.11468755453824997,
-0.049055181443691254,
0.039750050753355026,
0.010344168171286583,
-5.706276613948518e-34,
0.03802778944373131,
0.0009189602569676936,
-0.0514184832572937,
0.011139506474137306,
-0.11670026183128357,
0.028528932482004166,
-0.09039047360420227,
0.02979741245508194,
-0.03049108199775219,
0.0136480201035738,
-0.014533828012645245,
0.12030479311943054,
-0.08418526500463486,
-0.0410475879907608,
-0.053143106400966644,
0.028693625703454018,
-0.02600140869617462,
0.0009798510000109673,
0.02684715948998928,
0.06545943766832352,
0.06932827830314636,
0.038198258727788925,
-0.01825971156358719,
-0.071266308426857,
0.025937726721167564,
0.03111373819410801,
-0.0022390764206647873,
0.008721261285245419,
-0.09072303026914597,
0.03227581828832626,
0.09607168287038803,
0.01770632527768612,
-0.03988751769065857,
0.002785175107419491,
-0.08300692588090897,
-0.020389094948768616,
-0.0731586217880249,
0.05052896589040756,
-0.005118594039231539,
-0.01975671760737896,
-0.047080136835575104,
-0.04525722190737724,
-0.12570656836032867,
0.017374107614159584,
0.04101555049419403,
-0.016682613641023636,
0.0841657891869545,
-0.037819281220436096,
0.027118872851133347,
-0.05598747357726097,
-0.02925577387213707,
-0.023547833785414696,
0.04029707983136177,
0.0772591382265091,
0.027623746544122696,
0.05436239391565323,
0.11075909435749054,
-0.010934651829302311,
-0.06991752982139587,
0.01599312387406826,
0.01231581624597311,
0.07170617580413818,
0.08367087692022324,
-0.08288842439651489,
0.045149900019168854,
0.019561339169740677,
-0.005022169090807438,
0.01808330789208412,
0.04331842064857483,
-0.07569345831871033,
0.0014882885152474046,
-0.01379111222922802,
0.06039811298251152,
0.02045319601893425,
0.017181986942887306,
-0.12976665794849396,
-0.010034055449068546,
0.05751887708902359,
-0.02391723170876503,
0.015060174278914928,
0.01859728805720806,
-0.06119200959801674,
0.02439912222325802,
0.03533818945288658,
0.04037642478942871,
0.007052992936223745,
-0.018217748031020164,
0.061351146548986435,
-0.11330174654722214,
-0.039632346481084824,
-0.06052274629473686,
0.026698371395468712,
0.09826188534498215,
-0.01464835461229086,
0.08354897797107697,
-4.0736675912509755e-33,
0.06588757038116455,
0.01725931279361248,
-0.04863961786031723,
0.04545212537050247,
0.03398408740758896,
0.011731002479791641,
-0.028853632509708405,
0.10176210850477219,
-0.0526735745370388,
0.020459009334445,
0.06930828839540482,
-0.014472025446593761,
-0.046639978885650635,
-0.06452465057373047,
-0.009263605810701847,
0.04382723569869995,
0.003883295925334096,
-0.029708415269851685,
0.008076806552708149,
-0.05578941851854324,
-0.027095463126897812,
-0.052615974098443985,
0.04482171684503555,
-0.001144533627666533,
-0.03923847898840904,
-0.0529419481754303,
0.061081960797309875,
0.0032271600794047117,
-0.033899832516908646,
0.0754234790802002,
-0.015437743626534939,
0.00923999771475792,
-0.016301026567816734,
0.03472186625003815,
-0.003264640225097537,
-0.011442880146205425,
-0.013747105374932289,
0.01755577139556408,
0.01400241069495678,
-0.02431853488087654,
0.001957239815965295,
0.018140029162168503,
0.03941500931978226,
-0.04031527414917946,
-0.06852962076663971,
0.03491312637925148,
0.057717498391866684,
0.02256801165640354,
0.022505758330225945,
-0.051923900842666626,
0.058582842350006104,
-0.02880232408642769,
-0.002763316733762622,
-0.002494371496140957,
-0.11545586585998535,
0.04414195194840431,
-0.005747420247644186,
0.02425307221710682,
0.010730717331171036,
-0.044778309762477875,
-0.056681446731090546,
-0.1257496178150177,
0.05040496215224266,
0.058780498802661896,
-0.06892471760511398,
-0.0071380906738340855,
-0.10961692780256271,
0.0316363088786602,
0.040978413075208664,
0.033634405583143234,
-0.005029009189456701,
-0.059551455080509186,
0.06634712219238281,
0.008040085434913635,
0.09504298865795135,
-0.012970303185284138,
0.020495928823947906,
-0.005073103588074446,
0.044506099075078964,
-0.075141042470932,
-0.018195275217294693,
0.0631745383143425,
-0.06021334230899811,
-0.05181349813938141,
0.06274387985467911,
-0.031602244824171066,
-0.03624033182859421,
-0.06928892433643341,
-0.027822550386190414,
0.031791508197784424,
0.040854789316654205,
0.003135188017040491,
0.020852727815508842,
0.038230810314416885,
-0.0333060696721077,
-4.643791839953337e-8,
0.1116505116224289,
-0.06317951530218124,
0.07348860055208206,
-0.009145899675786495,
0.0519285649061203,
0.05044951289892197,
-0.04032720997929573,
-0.01744871214032173,
-0.012738431803882122,
0.06840091198682785,
-0.015714222565293312,
0.08994098752737045,
0.0297752246260643,
-0.04006175324320793,
-0.022438962012529373,
-0.011393873021006584,
0.002009055344387889,
0.003033093176782131,
-0.010265623219311237,
0.023043610155582428,
0.16867180168628693,
-0.02273053489625454,
-0.041894301772117615,
0.07490915060043335,
-0.012924459762871265,
0.10435181856155396,
-0.011880451813340187,
-0.08123009651899338,
-0.001428835210390389,
0.0277665127068758,
-0.034873005002737045,
0.03810817003250122,
-0.09697085618972778,
0.016819315031170845,
-0.06293576210737228,
-0.031123371794819832,
-0.009889140725135803,
0.021169893443584442,
-0.04035882651805878,
-0.04267062991857529,
-0.03334225341677666,
-0.055513568222522736,
0.013424702920019627,
-0.004188993480056524,
0.0014946649316698313,
0.11173097789287567,
-0.051643792539834976,
-0.018205465748906136,
-0.024174360558390617,
0.11414362490177155,
-0.05528009682893753,
0.0329279899597168,
0.001120464177802205,
-0.046275991946458817,
-0.10075526684522629,
-0.019519280642271042,
-0.01011775154620409,
-0.00747384037822485,
0.0681309849023819,
-0.024525661021471024,
0.0051252455450594425,
0.0035039486829191446,
-0.03425847366452217,
-0.03828040510416031
] |
1401.6352
|
Dmitry Zezyulin
|
Vladimir V. Konotop and Dmitry A. Zezyulin
|
Stochastic ${\cal PT}$-symmetric coupler
|
5 pages, 3 figures; accepted to Optics Letters
|
Optics Letters 39, 1223-1226 (2014)
|
10.1364/OL.39.001223
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a stochastic ${\cal PT}$-symmetric coupler, which is based on
dual-core waveguides with fluctuating parameters, such that the gain and the
losses are exactly balanced in average. We consider different parametric
regimes which correspond to the broken and unbroken ${\cal PT}$ symmetry, as
well as to the exceptional point of the underlying deterministic system. We
demonstrate that in all the cases the statistically averaged intensity of the
field grows. This result holds for either linear or nonlinear coupler and is
independent on the type of fluctuations.
|
[
{
"created": "Fri, 24 Jan 2014 14:38:26 GMT",
"version": "v1"
}
] |
2014-02-24
|
[
[
"Konotop",
"Vladimir V.",
""
],
[
"Zezyulin",
"Dmitry A.",
""
]
] |
[
-0.04134313017129898,
-0.022485680878162384,
0.04602228105068207,
0.030953245237469673,
-0.057757940143346786,
-0.03499193117022514,
-0.045752204954624176,
0.05315380543470383,
-0.010042612440884113,
-0.00947128888219595,
0.011944272555410862,
0.07531637698411942,
-0.006219333037734032,
-0.06941967457532883,
0.09762194752693176,
0.015994852408766747,
0.021921498700976372,
-0.07972336560487747,
0.036548130214214325,
0.07468775659799576,
-0.04505457729101181,
-0.06687069684267044,
-0.07716930657625198,
-0.04534240812063217,
0.042374689131975174,
-0.07858141511678696,
0.03394860401749611,
-0.04006278142333031,
-0.06943614035844803,
0.006188737694174051,
0.06406130641698837,
-0.04325340315699577,
-0.08554718643426895,
-0.013824880123138428,
-0.02333885431289673,
-0.10264705866575241,
0.05854624882340431,
-0.032913532108068466,
0.01182045228779316,
-0.013344264589250088,
0.013871499337255955,
-0.035616304725408554,
-0.00666288984939456,
0.048370491713285446,
-0.047063473612070084,
0.027995826676487923,
-0.03418976813554764,
-0.050500668585300446,
-0.02652612142264843,
-0.044604118913412094,
-0.019640671089291573,
0.11768375337123871,
-0.062147356569767,
0.003787273308262229,
0.1049496978521347,
0.10391844063997269,
-0.020934289321303368,
0.08976064622402191,
-0.05363144725561142,
-0.01579425483942032,
0.05486930161714554,
-0.020682983100414276,
-0.013560864143073559,
-0.06849409639835358,
0.001504684565588832,
-0.024191612377762794,
0.0714503824710846,
0.10893251746892929,
0.04719089716672897,
0.000935938092879951,
0.008319681510329247,
-0.0523347370326519,
0.01135911326855421,
-0.030418766662478447,
0.0811920091509819,
0.00596466613933444,
-0.04158968850970268,
-0.011146636679768562,
-0.026126950979232788,
0.0005000498495064676,
-0.09464093297719955,
-0.0188763327896595,
0.03675686568021774,
-0.06295643746852875,
0.024687115103006363,
-0.02046293206512928,
-0.014528578147292137,
-0.02288978546857834,
-0.04956474527716637,
-0.0697944164276123,
-0.07206077873706818,
-0.03672512620687485,
-0.06734425574541092,
-0.02699355222284794,
-0.02823111228644848,
0.012701917439699173,
-0.012129481881856918,
-0.08135337382555008,
-0.007869666442275047,
0.05463319644331932,
0.022823678329586983,
-0.07324938476085663,
0.030965479090809822,
0.04228247329592705,
0.00011572547373361886,
-0.016081860288977623,
-0.03246352821588516,
0.026122041046619415,
-0.01840571127831936,
-0.009445755742490292,
0.05012510344386101,
0.10237930715084076,
-0.035673871636390686,
-0.009598213247954845,
-0.021882113069295883,
-0.004413065500557423,
-0.008837433531880379,
0.07900294661521912,
0.027897637337446213,
0.059291351586580276,
-0.05755618214607239,
0.026772813871502876,
-0.135131374001503,
0.1051221489906311,
-0.027713963761925697,
0.001384761999361217,
0.10360924899578094,
-1.735017172186219e-33,
0.03398430719971657,
0.05569388344883919,
0.0359722375869751,
-0.04787858575582504,
0.009004423394799232,
-0.012780655175447464,
0.039753302931785583,
0.02211160399019718,
-0.01814596727490425,
-0.020564274862408638,
0.020337026566267014,
-0.03325309976935387,
-0.03842570260167122,
0.03466223552823067,
0.028326483443379402,
-0.07463584095239639,
-0.03558739647269249,
-0.009772893972694874,
0.10519900918006897,
-0.014563688077032566,
0.05017532780766487,
0.01096491701900959,
-0.07119177281856537,
0.013393132947385311,
-0.034813087433576584,
-0.07586971670389175,
0.012876205146312714,
0.07380382716655731,
-0.050844013690948486,
0.0146709019318223,
-0.006733691785484552,
0.05108463391661644,
0.0033749090507626534,
-0.006382540334016085,
0.06969615817070007,
-0.07672341167926788,
-0.06336531043052673,
0.05133529007434845,
-0.057984065264463425,
-0.04080050066113472,
0.013136589899659157,
-0.015616999939084053,
0.05027246102690697,
0.06064299866557121,
-0.01296647172421217,
-0.06446432322263718,
0.06219634786248207,
-0.014443272724747658,
-0.018204132094979286,
-0.10269580781459808,
0.03197348490357399,
-0.0946151539683342,
-0.03514404594898224,
0.21491332352161407,
0.12026166170835495,
-0.021860890090465546,
0.04419901594519615,
-0.08020435273647308,
-0.04294077679514885,
0.01695820316672325,
0.04206649586558342,
0.002429879503324628,
0.04721751809120178,
-0.05932740494608879,
0.003581423545256257,
0.08611427247524261,
0.06404039263725281,
-0.03191966935992241,
0.0285145565867424,
-0.020022975280880928,
0.036662839353084564,
0.08594296872615814,
-0.029820576310157776,
-0.11038373410701752,
0.030137185007333755,
0.0011097544338554144,
-0.0012708018766716123,
-0.03848809748888016,
0.0347081683576107,
0.008518042974174023,
-0.012027830816805363,
-0.004712593276053667,
0.04773421213030815,
0.05389047786593437,
-0.13597115874290466,
0.04868379607796669,
-0.01703205145895481,
-0.08876553922891617,
-0.028858734294772148,
0.04181751236319542,
0.051972780376672745,
-0.012372435070574284,
0.05215603485703468,
0.016487305983901024,
-0.03349504619836807,
-8.220357809929993e-34,
-0.04242689162492752,
0.010162393562495708,
0.0036129141226410866,
0.07599065452814102,
0.01650562696158886,
0.04750164970755577,
0.011448045261204243,
0.042196258902549744,
0.048384204506874084,
0.05226675048470497,
0.08995344489812851,
-0.044963013380765915,
-0.013893512077629566,
-0.00016981556836981326,
-0.025577032938599586,
0.00020441757806111127,
0.09419471770524979,
0.025654321536421776,
0.08974556624889374,
-0.03364520147442818,
0.037664905190467834,
-0.0497514083981514,
0.09048224985599518,
-0.058294836431741714,
0.05617135390639305,
-0.012193755246698856,
-0.04281171038746834,
0.08350777626037598,
-0.0053495499305427074,
0.02553979866206646,
-0.0201807152479887,
0.014039386995136738,
0.03387906774878502,
0.054839879274368286,
-0.00043955660657957196,
0.025744428858160973,
-0.09272106736898422,
0.05721563845872879,
0.04921199381351471,
0.04208757355809212,
-0.010557716712355614,
0.03424711525440216,
0.06403540074825287,
0.04816821217536926,
0.025381386280059814,
-0.05639840289950371,
0.014158717356622219,
-0.029088439419865608,
-0.013064717873930931,
-0.050520241260528564,
0.03333320468664169,
0.011574147269129753,
-0.07488436251878738,
-0.032939694821834564,
-0.09059210121631622,
0.007585147861391306,
-0.015775557607412338,
0.015235203318297863,
-0.004444579128175974,
0.12317165732383728,
-0.054926954209804535,
-0.04285546764731407,
0.016106870025396347,
0.041130173951387405,
0.025591440498828888,
0.01506065484136343,
-0.010991276241838932,
-0.12238568812608719,
0.03845904767513275,
0.037436921149492264,
0.0693371519446373,
0.03612419590353966,
-0.019227389246225357,
-0.004022987559437752,
0.06892132759094238,
0.00017324104555882514,
0.011385466903448105,
-0.042632024735212326,
0.0214118380099535,
0.03324770927429199,
-0.03582698851823807,
0.036081552505493164,
-0.00015201795031316578,
-0.06538363546133041,
-0.08491087704896927,
-0.016254430636763573,
-0.0159466452896595,
-0.022116754204034805,
-0.005638348404318094,
0.026152051985263824,
0.017734555527567863,
-0.02370493672788143,
0.04114152491092682,
-0.08299051225185394,
0.014878240413963795,
-4.9261839052405776e-8,
0.08840392529964447,
0.05531546100974083,
-0.08297112584114075,
0.02803460881114006,
0.025567717850208282,
-0.054192107170820236,
0.058389849960803986,
-0.04866231605410576,
0.04129968583583832,
0.018231773748993874,
-0.05286599323153496,
-0.043317798525094986,
-0.03234599158167839,
-0.06306064873933792,
0.028988439589738846,
-0.02964036725461483,
0.008527092635631561,
-0.050704799592494965,
-0.01861177757382393,
-0.029246503487229347,
0.047922778874635696,
-0.03134959563612938,
0.008210011757910252,
-0.03059461899101734,
0.007616591174155474,
0.09824156016111374,
0.03462114557623863,
0.015728669241070747,
0.06732973456382751,
0.08769600093364716,
-0.0032124947756528854,
-0.056272584944963455,
0.028211450204253197,
0.06183875724673271,
-0.09026005119085312,
0.027823904529213905,
-0.05697331577539444,
0.008332142606377602,
0.06983116269111633,
0.02976161800324917,
0.013223377987742424,
0.043841402977705,
-0.010899879038333893,
0.05641155689954758,
0.014150753617286682,
0.029232077300548553,
0.058802712708711624,
0.019590677693486214,
-0.0639815703034401,
-0.02285131625831127,
-0.02803906239569187,
0.04729684069752693,
-0.003977662418037653,
-0.12423565983772278,
-0.03922953084111214,
-0.061941295862197876,
-0.006844671908766031,
-0.04500172659754753,
-0.0805046409368515,
0.00707969767972827,
-0.04332258179783821,
-0.024067383259534836,
-0.12561671435832977,
0.042477503418922424
] | null | null | null | null | null | null | null |
[
-0.04134313017129898,
-0.022485680878162384,
0.04602228105068207,
0.030953245237469673,
-0.057757940143346786,
-0.03499193117022514,
-0.045752204954624176,
0.05315380543470383,
-0.010042612440884113,
-0.00947128888219595,
0.011944272555410862,
0.07531637698411942,
-0.006219333037734032,
-0.06941967457532883,
0.09762194752693176,
0.015994852408766747,
0.021921498700976372,
-0.07972336560487747,
0.036548130214214325,
0.07468775659799576,
-0.04505457729101181,
-0.06687069684267044,
-0.07716930657625198,
-0.04534240812063217,
0.042374689131975174,
-0.07858141511678696,
0.03394860401749611,
-0.04006278142333031,
-0.06943614035844803,
0.006188737694174051,
0.06406130641698837,
-0.04325340315699577,
-0.08554718643426895,
-0.013824880123138428,
-0.02333885431289673,
-0.10264705866575241,
0.05854624882340431,
-0.032913532108068466,
0.01182045228779316,
-0.013344264589250088,
0.013871499337255955,
-0.035616304725408554,
-0.00666288984939456,
0.048370491713285446,
-0.047063473612070084,
0.027995826676487923,
-0.03418976813554764,
-0.050500668585300446,
-0.02652612142264843,
-0.044604118913412094,
-0.019640671089291573,
0.11768375337123871,
-0.062147356569767,
0.003787273308262229,
0.1049496978521347,
0.10391844063997269,
-0.020934289321303368,
0.08976064622402191,
-0.05363144725561142,
-0.01579425483942032,
0.05486930161714554,
-0.020682983100414276,
-0.013560864143073559,
-0.06849409639835358,
0.001504684565588832,
-0.024191612377762794,
0.0714503824710846,
0.10893251746892929,
0.04719089716672897,
0.000935938092879951,
0.008319681510329247,
-0.0523347370326519,
0.01135911326855421,
-0.030418766662478447,
0.0811920091509819,
0.00596466613933444,
-0.04158968850970268,
-0.011146636679768562,
-0.026126950979232788,
0.0005000498495064676,
-0.09464093297719955,
-0.0188763327896595,
0.03675686568021774,
-0.06295643746852875,
0.024687115103006363,
-0.02046293206512928,
-0.014528578147292137,
-0.02288978546857834,
-0.04956474527716637,
-0.0697944164276123,
-0.07206077873706818,
-0.03672512620687485,
-0.06734425574541092,
-0.02699355222284794,
-0.02823111228644848,
0.012701917439699173,
-0.012129481881856918,
-0.08135337382555008,
-0.007869666442275047,
0.05463319644331932,
0.022823678329586983,
-0.07324938476085663,
0.030965479090809822,
0.04228247329592705,
0.00011572547373361886,
-0.016081860288977623,
-0.03246352821588516,
0.026122041046619415,
-0.01840571127831936,
-0.009445755742490292,
0.05012510344386101,
0.10237930715084076,
-0.035673871636390686,
-0.009598213247954845,
-0.021882113069295883,
-0.004413065500557423,
-0.008837433531880379,
0.07900294661521912,
0.027897637337446213,
0.059291351586580276,
-0.05755618214607239,
0.026772813871502876,
-0.135131374001503,
0.1051221489906311,
-0.027713963761925697,
0.001384761999361217,
0.10360924899578094,
-1.735017172186219e-33,
0.03398430719971657,
0.05569388344883919,
0.0359722375869751,
-0.04787858575582504,
0.009004423394799232,
-0.012780655175447464,
0.039753302931785583,
0.02211160399019718,
-0.01814596727490425,
-0.020564274862408638,
0.020337026566267014,
-0.03325309976935387,
-0.03842570260167122,
0.03466223552823067,
0.028326483443379402,
-0.07463584095239639,
-0.03558739647269249,
-0.009772893972694874,
0.10519900918006897,
-0.014563688077032566,
0.05017532780766487,
0.01096491701900959,
-0.07119177281856537,
0.013393132947385311,
-0.034813087433576584,
-0.07586971670389175,
0.012876205146312714,
0.07380382716655731,
-0.050844013690948486,
0.0146709019318223,
-0.006733691785484552,
0.05108463391661644,
0.0033749090507626534,
-0.006382540334016085,
0.06969615817070007,
-0.07672341167926788,
-0.06336531043052673,
0.05133529007434845,
-0.057984065264463425,
-0.04080050066113472,
0.013136589899659157,
-0.015616999939084053,
0.05027246102690697,
0.06064299866557121,
-0.01296647172421217,
-0.06446432322263718,
0.06219634786248207,
-0.014443272724747658,
-0.018204132094979286,
-0.10269580781459808,
0.03197348490357399,
-0.0946151539683342,
-0.03514404594898224,
0.21491332352161407,
0.12026166170835495,
-0.021860890090465546,
0.04419901594519615,
-0.08020435273647308,
-0.04294077679514885,
0.01695820316672325,
0.04206649586558342,
0.002429879503324628,
0.04721751809120178,
-0.05932740494608879,
0.003581423545256257,
0.08611427247524261,
0.06404039263725281,
-0.03191966935992241,
0.0285145565867424,
-0.020022975280880928,
0.036662839353084564,
0.08594296872615814,
-0.029820576310157776,
-0.11038373410701752,
0.030137185007333755,
0.0011097544338554144,
-0.0012708018766716123,
-0.03848809748888016,
0.0347081683576107,
0.008518042974174023,
-0.012027830816805363,
-0.004712593276053667,
0.04773421213030815,
0.05389047786593437,
-0.13597115874290466,
0.04868379607796669,
-0.01703205145895481,
-0.08876553922891617,
-0.028858734294772148,
0.04181751236319542,
0.051972780376672745,
-0.012372435070574284,
0.05215603485703468,
0.016487305983901024,
-0.03349504619836807,
-8.220357809929993e-34,
-0.04242689162492752,
0.010162393562495708,
0.0036129141226410866,
0.07599065452814102,
0.01650562696158886,
0.04750164970755577,
0.011448045261204243,
0.042196258902549744,
0.048384204506874084,
0.05226675048470497,
0.08995344489812851,
-0.044963013380765915,
-0.013893512077629566,
-0.00016981556836981326,
-0.025577032938599586,
0.00020441757806111127,
0.09419471770524979,
0.025654321536421776,
0.08974556624889374,
-0.03364520147442818,
0.037664905190467834,
-0.0497514083981514,
0.09048224985599518,
-0.058294836431741714,
0.05617135390639305,
-0.012193755246698856,
-0.04281171038746834,
0.08350777626037598,
-0.0053495499305427074,
0.02553979866206646,
-0.0201807152479887,
0.014039386995136738,
0.03387906774878502,
0.054839879274368286,
-0.00043955660657957196,
0.025744428858160973,
-0.09272106736898422,
0.05721563845872879,
0.04921199381351471,
0.04208757355809212,
-0.010557716712355614,
0.03424711525440216,
0.06403540074825287,
0.04816821217536926,
0.025381386280059814,
-0.05639840289950371,
0.014158717356622219,
-0.029088439419865608,
-0.013064717873930931,
-0.050520241260528564,
0.03333320468664169,
0.011574147269129753,
-0.07488436251878738,
-0.032939694821834564,
-0.09059210121631622,
0.007585147861391306,
-0.015775557607412338,
0.015235203318297863,
-0.004444579128175974,
0.12317165732383728,
-0.054926954209804535,
-0.04285546764731407,
0.016106870025396347,
0.041130173951387405,
0.025591440498828888,
0.01506065484136343,
-0.010991276241838932,
-0.12238568812608719,
0.03845904767513275,
0.037436921149492264,
0.0693371519446373,
0.03612419590353966,
-0.019227389246225357,
-0.004022987559437752,
0.06892132759094238,
0.00017324104555882514,
0.011385466903448105,
-0.042632024735212326,
0.0214118380099535,
0.03324770927429199,
-0.03582698851823807,
0.036081552505493164,
-0.00015201795031316578,
-0.06538363546133041,
-0.08491087704896927,
-0.016254430636763573,
-0.0159466452896595,
-0.022116754204034805,
-0.005638348404318094,
0.026152051985263824,
0.017734555527567863,
-0.02370493672788143,
0.04114152491092682,
-0.08299051225185394,
0.014878240413963795,
-4.9261839052405776e-8,
0.08840392529964447,
0.05531546100974083,
-0.08297112584114075,
0.02803460881114006,
0.025567717850208282,
-0.054192107170820236,
0.058389849960803986,
-0.04866231605410576,
0.04129968583583832,
0.018231773748993874,
-0.05286599323153496,
-0.043317798525094986,
-0.03234599158167839,
-0.06306064873933792,
0.028988439589738846,
-0.02964036725461483,
0.008527092635631561,
-0.050704799592494965,
-0.01861177757382393,
-0.029246503487229347,
0.047922778874635696,
-0.03134959563612938,
0.008210011757910252,
-0.03059461899101734,
0.007616591174155474,
0.09824156016111374,
0.03462114557623863,
0.015728669241070747,
0.06732973456382751,
0.08769600093364716,
-0.0032124947756528854,
-0.056272584944963455,
0.028211450204253197,
0.06183875724673271,
-0.09026005119085312,
0.027823904529213905,
-0.05697331577539444,
0.008332142606377602,
0.06983116269111633,
0.02976161800324917,
0.013223377987742424,
0.043841402977705,
-0.010899879038333893,
0.05641155689954758,
0.014150753617286682,
0.029232077300548553,
0.058802712708711624,
0.019590677693486214,
-0.0639815703034401,
-0.02285131625831127,
-0.02803906239569187,
0.04729684069752693,
-0.003977662418037653,
-0.12423565983772278,
-0.03922953084111214,
-0.061941295862197876,
-0.006844671908766031,
-0.04500172659754753,
-0.0805046409368515,
0.00707969767972827,
-0.04332258179783821,
-0.024067383259534836,
-0.12561671435832977,
0.042477503418922424
] |
1401.6354
|
Karin Schnass
|
Karin Schnass
|
Local Identification of Overcomplete Dictionaries
|
32 pages, 2 figures, final version accepted to JMLR
| null | null | null |
cs.IT math.IT stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper presents the first theoretical results showing that stable
identification of overcomplete $\mu$-coherent dictionaries $\Phi \in
\mathbb{R}^{d\times K}$ is locally possible from training signals with sparsity
levels $S$ up to the order $O(\mu^{-2})$ and signal to noise ratios up to
$O(\sqrt{d})$. In particular the dictionary is recoverable as the local maximum
of a new maximisation criterion that generalises the K-means criterion. For
this maximisation criterion results for asymptotic exact recovery for sparsity
levels up to $O(\mu^{-1})$ and stable recovery for sparsity levels up to
$O(\mu^{-2})$ as well as signal to noise ratios up to $O(\sqrt{d})$ are
provided. These asymptotic results translate to finite sample size recovery
results with high probability as long as the sample size $N$ scales as $O(K^3dS
\tilde \varepsilon^{-2})$, where the recovery precision $\tilde \varepsilon$
can go down to the asymptotically achievable precision. Further, to actually
find the local maxima of the new criterion, a very simple Iterative
Thresholding and K (signed) Means algorithm (ITKM), which has complexity
$O(dKN)$ in each iteration, is presented and its local efficiency is
demonstrated in several experiments.
|
[
{
"created": "Fri, 24 Jan 2014 14:41:31 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 2015 13:37:23 GMT",
"version": "v2"
}
] |
2015-04-03
|
[
[
"Schnass",
"Karin",
""
]
] |
[
-0.08946903049945831,
-0.07433708012104034,
0.04963001236319542,
0.04505302011966705,
0.047680437564849854,
-0.043020378798246384,
0.03921115770936012,
-0.04655551537871361,
0.012288262136280537,
-0.04365886375308037,
-0.05879358574748039,
0.13351407647132874,
0.018149837851524353,
-0.013330238871276379,
-0.015004859305918217,
-0.028114687651395798,
0.05718005448579788,
0.06480555981397629,
-0.05204610899090767,
0.037315793335437775,
0.051384661346673965,
0.022912735119462013,
0.036244846880435944,
0.05692913755774498,
0.04552521929144859,
-0.04902829974889755,
-0.007772255688905716,
0.023631524294614792,
0.020909488201141357,
-0.02804476022720337,
0.030956510454416275,
0.01628519594669342,
0.012917994521558285,
-0.06888923048973083,
0.0535232350230217,
0.047008171677589417,
0.024624556303024292,
0.08515704423189163,
0.0407022200524807,
0.13187646865844727,
-0.02141428552567959,
0.10278109461069107,
-0.05619946867227554,
-0.027251461520791054,
-0.005502406042069197,
0.028095299378037453,
0.023378074169158936,
-0.054678626358509064,
-0.028611203655600548,
0.010893884114921093,
-0.00679940078407526,
0.10629968345165253,
-0.04559006541967392,
0.04155783727765083,
-0.006332931108772755,
-0.06834913045167923,
-0.10679540038108826,
0.020539380609989166,
0.01656365394592285,
0.04723596200346947,
-0.022528186440467834,
-0.05392145738005638,
-0.0166713148355484,
-0.03605744615197182,
-0.021793438121676445,
-0.006970542948693037,
0.05930733308196068,
-0.0024354823399335146,
0.027118774130940437,
0.0438913069665432,
-0.06329333782196045,
-0.015116507187485695,
-0.02956119365990162,
0.048595815896987915,
0.04993661120533943,
0.022163081914186478,
-0.028670990839600563,
-0.0009676447953097522,
-0.0030208195094019175,
0.02568841353058815,
0.006157146766781807,
-0.0064399354159832,
-0.052169617265462875,
-0.12005529552698135,
0.06285088509321213,
-0.016138939186930656,
-0.023253967985510826,
0.009778663516044617,
0.07381585240364075,
-0.005671855993568897,
-0.06974751502275467,
-0.03736531734466553,
-0.05099746957421303,
0.010420356877148151,
0.07096739858388901,
-0.0434735082089901,
0.07790910452604294,
0.01503533311188221,
0.062009427696466446,
0.10454875975847244,
-0.013830726034939289,
-0.009503521025180817,
-0.012660992331802845,
0.027258891612291336,
0.02550940029323101,
-0.09320297092199326,
0.04778144136071205,
-0.024227488785982132,
0.10356810688972473,
0.00150594231672585,
0.045389603823423386,
0.010249048471450806,
-0.006609948351979256,
0.04097835719585419,
0.01895938627421856,
-0.04405850172042847,
-0.01666286401450634,
0.03157956153154373,
0.018223613500595093,
0.004553052131086588,
-0.01774379052221775,
-0.14056070148944855,
0.019911397248506546,
-0.012074321508407593,
0.059561677277088165,
0.10252172499895096,
0.004661639221012592,
5.9248922982495625e-33,
-0.009850778616964817,
0.11576640605926514,
-0.010575921274721622,
-0.05896080285310745,
-0.05429961159825325,
-0.01231959369033575,
0.023720748722553253,
-0.02996411919593811,
-0.001310141058638692,
0.05258696526288986,
-0.059621185064315796,
0.08752160519361496,
-0.05964182689785957,
0.0480663925409317,
-0.021727580577135086,
-0.000245256582275033,
0.046262145042419434,
0.09124709665775299,
-0.028700603172183037,
-0.06334301829338074,
0.10759096592664719,
-0.0772678479552269,
0.025046685710549355,
-0.028223484754562378,
0.019682452082633972,
-0.06629530340433121,
0.0037817885167896748,
0.004726768471300602,
-0.0837123766541481,
0.007935026660561562,
-0.0551505945622921,
-0.009030192159116268,
0.041865333914756775,
-0.0016318311681970954,
0.00014957747771404684,
-0.035143472254276276,
-0.0008467471925541759,
-0.03441490978002548,
-0.053324662148952484,
0.0014110595220699906,
-0.030908681452274323,
0.05238480493426323,
0.011911815963685513,
-0.05176408588886261,
-0.06503435969352722,
-0.011850498616695404,
0.028510477393865585,
-0.039201054722070694,
-0.057304225862026215,
-0.08308954536914825,
-0.07098350673913956,
-0.08028413355350494,
-0.07741761952638626,
-0.013461800292134285,
0.044280216097831726,
0.034288015216588974,
0.006158212199807167,
-0.006709813605993986,
0.06074739247560501,
0.0714275985956192,
-0.0317184254527092,
-0.04573548957705498,
0.0119255892932415,
-0.031859662383794785,
0.06348621845245361,
-0.029490133747458458,
-0.05861030891537666,
0.023993756622076035,
0.011018143966794014,
-0.04842374473810196,
0.0640677884221077,
0.032582368701696396,
-0.1083279550075531,
-0.052893128246068954,
0.0650494396686554,
-0.027120448648929596,
0.12831221520900726,
0.005910306237637997,
-0.010103197768330574,
0.004105677828192711,
-0.018681978806853294,
-0.12842147052288055,
-0.04312560334801674,
-0.07363114506006241,
-0.042680103331804276,
0.0653780996799469,
0.013331379741430283,
-0.1258702278137207,
-0.022777292877435684,
-0.08110246062278748,
-0.16333000361919403,
0.004889311734586954,
-0.02271054871380329,
-0.11417300254106522,
-0.06508593261241913,
-5.2105693605098134e-33,
0.019433170557022095,
-0.008514530956745148,
0.008895359933376312,
0.07087371498346329,
-0.06759853661060333,
0.010861888527870178,
-0.011512933298945427,
0.11759109795093536,
-0.054507575929164886,
-0.10743923485279083,
-0.09757261723279953,
-0.05138692632317543,
0.07583066076040268,
-0.008614257909357548,
-0.03284209966659546,
0.04408513754606247,
-0.007999389432370663,
0.05336736887693405,
0.05894683673977852,
0.06939007341861725,
-0.005471932701766491,
-0.055452000349760056,
0.038552604615688324,
0.034199584275484085,
-0.026801753789186478,
0.04046912118792534,
-0.10272697359323502,
0.05285806208848953,
-0.02332952991127968,
-0.013974471017718315,
0.018875662237405777,
-0.044916894286870956,
-0.01698877289891243,
0.017608528956770897,
0.010403560474514961,
-0.004341685213148594,
0.0012592743150889874,
0.032369691878557205,
-0.06271277368068695,
0.09426067769527435,
0.03001701459288597,
0.08116873353719711,
-0.04728587716817856,
0.0359678752720356,
0.08150950074195862,
-0.14088174700737,
-0.030125029385089874,
0.0353417731821537,
0.07000353932380676,
-0.013271331787109375,
0.04090847820043564,
0.011105252429842949,
0.01662641577422619,
0.06626856327056885,
-0.013448258861899376,
0.01116910856217146,
-0.007676455192267895,
0.01813434809446335,
0.009330828674137592,
-0.030568042770028114,
-0.04698866605758667,
-0.04720812290906906,
-0.09460493177175522,
0.08258063346147537,
0.03773085027933121,
0.04755115509033203,
0.01759181171655655,
0.021961534395813942,
0.0020029956940561533,
0.07704656571149826,
-0.036304496228694916,
-0.00441241217777133,
0.008328244090080261,
-0.00949259102344513,
-0.01410101167857647,
0.020372288301587105,
-0.012739088386297226,
0.004880150780081749,
-0.02994069643318653,
0.03206804767251015,
-0.0013967115664854646,
0.06560473144054413,
-0.028764575719833374,
0.06311597675085068,
0.050992388278245926,
0.06353510171175003,
0.06765507906675339,
-0.011905697174370289,
0.0007510400610044599,
-0.056787192821502686,
0.05354395508766174,
-0.004830535966902971,
0.01831509917974472,
0.03494997322559357,
0.022496452555060387,
-5.924802692902631e-8,
-0.0728994756937027,
0.022112322971224785,
-0.07479315251111984,
-0.06329268217086792,
0.09272123128175735,
-0.05592495948076248,
-0.01644250936806202,
-0.004356415010988712,
-0.017127513885498047,
-0.13250890374183655,
0.09804752469062805,
-0.02779591828584671,
-0.07626182585954666,
-0.002837733132764697,
0.026441354304552078,
0.03876851871609688,
0.0059630791656672955,
0.08947528898715973,
-0.012664729729294777,
0.03532715141773224,
0.036777447909116745,
-0.0029915673658251762,
0.06716381758451462,
0.03429269418120384,
0.048454124480485916,
0.0034797510597854853,
0.027869317680597305,
0.020960643887519836,
0.008815113455057144,
0.01549047976732254,
-0.04655388370156288,
-0.04965422302484512,
0.1147138923406601,
-0.0026095621287822723,
0.07268772274255753,
0.014630811288952827,
-0.06506052613258362,
0.017246495932340622,
-0.03551066294312477,
0.0031809599604457617,
-0.032731812447309494,
0.015361021272838116,
-0.028216024860739708,
-0.0059025161899626255,
0.017722217366099358,
0.036298077553510666,
-0.012626726180315018,
-0.06176168844103813,
-0.03977203741669655,
-0.007599551230669022,
0.0336674228310585,
0.06834524869918823,
-0.0005046438309364021,
0.05374946817755699,
-0.0180826336145401,
0.026071036234498024,
-0.06402646005153656,
-0.013599053025245667,
-0.04194848984479904,
-0.013912715017795563,
0.02225445583462715,
0.03484361991286278,
-0.05385202914476395,
0.025006800889968872
] | null | null | null | null | null | null | null |
[
-0.08946903049945831,
-0.07433708012104034,
0.04963001236319542,
0.04505302011966705,
0.047680437564849854,
-0.043020378798246384,
0.03921115770936012,
-0.04655551537871361,
0.012288262136280537,
-0.04365886375308037,
-0.05879358574748039,
0.13351407647132874,
0.018149837851524353,
-0.013330238871276379,
-0.015004859305918217,
-0.028114687651395798,
0.05718005448579788,
0.06480555981397629,
-0.05204610899090767,
0.037315793335437775,
0.051384661346673965,
0.022912735119462013,
0.036244846880435944,
0.05692913755774498,
0.04552521929144859,
-0.04902829974889755,
-0.007772255688905716,
0.023631524294614792,
0.020909488201141357,
-0.02804476022720337,
0.030956510454416275,
0.01628519594669342,
0.012917994521558285,
-0.06888923048973083,
0.0535232350230217,
0.047008171677589417,
0.024624556303024292,
0.08515704423189163,
0.0407022200524807,
0.13187646865844727,
-0.02141428552567959,
0.10278109461069107,
-0.05619946867227554,
-0.027251461520791054,
-0.005502406042069197,
0.028095299378037453,
0.023378074169158936,
-0.054678626358509064,
-0.028611203655600548,
0.010893884114921093,
-0.00679940078407526,
0.10629968345165253,
-0.04559006541967392,
0.04155783727765083,
-0.006332931108772755,
-0.06834913045167923,
-0.10679540038108826,
0.020539380609989166,
0.01656365394592285,
0.04723596200346947,
-0.022528186440467834,
-0.05392145738005638,
-0.0166713148355484,
-0.03605744615197182,
-0.021793438121676445,
-0.006970542948693037,
0.05930733308196068,
-0.0024354823399335146,
0.027118774130940437,
0.0438913069665432,
-0.06329333782196045,
-0.015116507187485695,
-0.02956119365990162,
0.048595815896987915,
0.04993661120533943,
0.022163081914186478,
-0.028670990839600563,
-0.0009676447953097522,
-0.0030208195094019175,
0.02568841353058815,
0.006157146766781807,
-0.0064399354159832,
-0.052169617265462875,
-0.12005529552698135,
0.06285088509321213,
-0.016138939186930656,
-0.023253967985510826,
0.009778663516044617,
0.07381585240364075,
-0.005671855993568897,
-0.06974751502275467,
-0.03736531734466553,
-0.05099746957421303,
0.010420356877148151,
0.07096739858388901,
-0.0434735082089901,
0.07790910452604294,
0.01503533311188221,
0.062009427696466446,
0.10454875975847244,
-0.013830726034939289,
-0.009503521025180817,
-0.012660992331802845,
0.027258891612291336,
0.02550940029323101,
-0.09320297092199326,
0.04778144136071205,
-0.024227488785982132,
0.10356810688972473,
0.00150594231672585,
0.045389603823423386,
0.010249048471450806,
-0.006609948351979256,
0.04097835719585419,
0.01895938627421856,
-0.04405850172042847,
-0.01666286401450634,
0.03157956153154373,
0.018223613500595093,
0.004553052131086588,
-0.01774379052221775,
-0.14056070148944855,
0.019911397248506546,
-0.012074321508407593,
0.059561677277088165,
0.10252172499895096,
0.004661639221012592,
5.9248922982495625e-33,
-0.009850778616964817,
0.11576640605926514,
-0.010575921274721622,
-0.05896080285310745,
-0.05429961159825325,
-0.01231959369033575,
0.023720748722553253,
-0.02996411919593811,
-0.001310141058638692,
0.05258696526288986,
-0.059621185064315796,
0.08752160519361496,
-0.05964182689785957,
0.0480663925409317,
-0.021727580577135086,
-0.000245256582275033,
0.046262145042419434,
0.09124709665775299,
-0.028700603172183037,
-0.06334301829338074,
0.10759096592664719,
-0.0772678479552269,
0.025046685710549355,
-0.028223484754562378,
0.019682452082633972,
-0.06629530340433121,
0.0037817885167896748,
0.004726768471300602,
-0.0837123766541481,
0.007935026660561562,
-0.0551505945622921,
-0.009030192159116268,
0.041865333914756775,
-0.0016318311681970954,
0.00014957747771404684,
-0.035143472254276276,
-0.0008467471925541759,
-0.03441490978002548,
-0.053324662148952484,
0.0014110595220699906,
-0.030908681452274323,
0.05238480493426323,
0.011911815963685513,
-0.05176408588886261,
-0.06503435969352722,
-0.011850498616695404,
0.028510477393865585,
-0.039201054722070694,
-0.057304225862026215,
-0.08308954536914825,
-0.07098350673913956,
-0.08028413355350494,
-0.07741761952638626,
-0.013461800292134285,
0.044280216097831726,
0.034288015216588974,
0.006158212199807167,
-0.006709813605993986,
0.06074739247560501,
0.0714275985956192,
-0.0317184254527092,
-0.04573548957705498,
0.0119255892932415,
-0.031859662383794785,
0.06348621845245361,
-0.029490133747458458,
-0.05861030891537666,
0.023993756622076035,
0.011018143966794014,
-0.04842374473810196,
0.0640677884221077,
0.032582368701696396,
-0.1083279550075531,
-0.052893128246068954,
0.0650494396686554,
-0.027120448648929596,
0.12831221520900726,
0.005910306237637997,
-0.010103197768330574,
0.004105677828192711,
-0.018681978806853294,
-0.12842147052288055,
-0.04312560334801674,
-0.07363114506006241,
-0.042680103331804276,
0.0653780996799469,
0.013331379741430283,
-0.1258702278137207,
-0.022777292877435684,
-0.08110246062278748,
-0.16333000361919403,
0.004889311734586954,
-0.02271054871380329,
-0.11417300254106522,
-0.06508593261241913,
-5.2105693605098134e-33,
0.019433170557022095,
-0.008514530956745148,
0.008895359933376312,
0.07087371498346329,
-0.06759853661060333,
0.010861888527870178,
-0.011512933298945427,
0.11759109795093536,
-0.054507575929164886,
-0.10743923485279083,
-0.09757261723279953,
-0.05138692632317543,
0.07583066076040268,
-0.008614257909357548,
-0.03284209966659546,
0.04408513754606247,
-0.007999389432370663,
0.05336736887693405,
0.05894683673977852,
0.06939007341861725,
-0.005471932701766491,
-0.055452000349760056,
0.038552604615688324,
0.034199584275484085,
-0.026801753789186478,
0.04046912118792534,
-0.10272697359323502,
0.05285806208848953,
-0.02332952991127968,
-0.013974471017718315,
0.018875662237405777,
-0.044916894286870956,
-0.01698877289891243,
0.017608528956770897,
0.010403560474514961,
-0.004341685213148594,
0.0012592743150889874,
0.032369691878557205,
-0.06271277368068695,
0.09426067769527435,
0.03001701459288597,
0.08116873353719711,
-0.04728587716817856,
0.0359678752720356,
0.08150950074195862,
-0.14088174700737,
-0.030125029385089874,
0.0353417731821537,
0.07000353932380676,
-0.013271331787109375,
0.04090847820043564,
0.011105252429842949,
0.01662641577422619,
0.06626856327056885,
-0.013448258861899376,
0.01116910856217146,
-0.007676455192267895,
0.01813434809446335,
0.009330828674137592,
-0.030568042770028114,
-0.04698866605758667,
-0.04720812290906906,
-0.09460493177175522,
0.08258063346147537,
0.03773085027933121,
0.04755115509033203,
0.01759181171655655,
0.021961534395813942,
0.0020029956940561533,
0.07704656571149826,
-0.036304496228694916,
-0.00441241217777133,
0.008328244090080261,
-0.00949259102344513,
-0.01410101167857647,
0.020372288301587105,
-0.012739088386297226,
0.004880150780081749,
-0.02994069643318653,
0.03206804767251015,
-0.0013967115664854646,
0.06560473144054413,
-0.028764575719833374,
0.06311597675085068,
0.050992388278245926,
0.06353510171175003,
0.06765507906675339,
-0.011905697174370289,
0.0007510400610044599,
-0.056787192821502686,
0.05354395508766174,
-0.004830535966902971,
0.01831509917974472,
0.03494997322559357,
0.022496452555060387,
-5.924802692902631e-8,
-0.0728994756937027,
0.022112322971224785,
-0.07479315251111984,
-0.06329268217086792,
0.09272123128175735,
-0.05592495948076248,
-0.01644250936806202,
-0.004356415010988712,
-0.017127513885498047,
-0.13250890374183655,
0.09804752469062805,
-0.02779591828584671,
-0.07626182585954666,
-0.002837733132764697,
0.026441354304552078,
0.03876851871609688,
0.0059630791656672955,
0.08947528898715973,
-0.012664729729294777,
0.03532715141773224,
0.036777447909116745,
-0.0029915673658251762,
0.06716381758451462,
0.03429269418120384,
0.048454124480485916,
0.0034797510597854853,
0.027869317680597305,
0.020960643887519836,
0.008815113455057144,
0.01549047976732254,
-0.04655388370156288,
-0.04965422302484512,
0.1147138923406601,
-0.0026095621287822723,
0.07268772274255753,
0.014630811288952827,
-0.06506052613258362,
0.017246495932340622,
-0.03551066294312477,
0.0031809599604457617,
-0.032731812447309494,
0.015361021272838116,
-0.028216024860739708,
-0.0059025161899626255,
0.017722217366099358,
0.036298077553510666,
-0.012626726180315018,
-0.06176168844103813,
-0.03977203741669655,
-0.007599551230669022,
0.0336674228310585,
0.06834524869918823,
-0.0005046438309364021,
0.05374946817755699,
-0.0180826336145401,
0.026071036234498024,
-0.06402646005153656,
-0.013599053025245667,
-0.04194848984479904,
-0.013912715017795563,
0.02225445583462715,
0.03484361991286278,
-0.05385202914476395,
0.025006800889968872
] |
1401.6356
|
Wojciech Gieszczyk Ph.D.
|
P. Bilski, W. Gieszczyk, B. Obryk, K. Hodyr
|
Comparison of commercial thermoluminescent readers regarding high-dose
high-temperature measurements
|
Data contained within this manuscript have been presented during the
1st International Conference on Dosimetry and its Applications, Prague, Czech
Republic, 23-28 June 2013
| null | null | null |
physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Three different thermoluminescent measuring systems have been compared with
respect to the differences in temperature profiles, spectral sensitivities, as
well as linearity of dose response characteristics. The comparison was
performed using the Harshaw 3500, Riso DA-20 and RA94 TLD readers. The
instruments were tested for the readouts of highly irradiated LiF:Mg,Cu,P (MCP)
TL detectors, which require readout up to 550 C, in case of doses exceeding 1
kGy. It was found that the Harshaw 3500 can be used, without any additional
light attenuation, for the measurements of MCP detectors exposed to doses up to
about 5 Gy. For the other two readers the upper dose limit is about 5 times
lower. It was also found that the Harshaw 3500 shows the best thermal stability
considering the peak maximum position. For the ultra-high doses the differences
in the spectral characteristics of the applied optical filters and
photomultipliers, in conjunction with an evolution of the MCP TL emission
spectrum with increasing dose, significantly influence the shape of TL glow
curves measured with the Riso reader. The detailed characteristic of the
compared TLD readers, at high-dose high-temperature range is discussed.
|
[
{
"created": "Fri, 24 Jan 2014 14:44:19 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Feb 2014 08:14:00 GMT",
"version": "v2"
}
] |
2014-02-26
|
[
[
"Bilski",
"P.",
""
],
[
"Gieszczyk",
"W.",
""
],
[
"Obryk",
"B.",
""
],
[
"Hodyr",
"K.",
""
]
] |
[
0.017263256013393402,
-0.04136741906404495,
-0.048294465988874435,
0.04002644866704941,
0.013710254803299904,
-0.07967209070920944,
0.06035909801721573,
0.1052362248301506,
-0.015717707574367523,
0.014845971018075943,
0.02465216815471649,
0.005466796457767487,
0.06472204625606537,
0.04160894453525543,
-0.018417328596115112,
0.011477728374302387,
0.16181513667106628,
0.02603345923125744,
0.03978627920150757,
-0.032508619129657745,
0.018843738362193108,
-0.03578599914908409,
-0.059284355491399765,
0.006680191028863192,
-0.08425164222717285,
0.028836587443947792,
-0.06773020327091217,
-0.02946707047522068,
-0.08337175101041794,
0.036821525543928146,
-0.011229457333683968,
0.030365731567144394,
-0.0037051760591566563,
-0.008925664238631725,
0.03816094994544983,
-0.007233109325170517,
-0.04401232302188873,
-0.0180673785507679,
-0.09266720712184906,
0.0029224788304418325,
0.005807242821902037,
-0.0348096527159214,
0.048324957489967346,
0.010564407333731651,
-0.043063513934612274,
-0.05613911151885986,
-0.0005002528778277338,
-0.10260168462991714,
-0.08378595113754272,
0.013100950047373772,
0.07015888392925262,
0.04607886075973511,
0.03215045854449272,
0.024987179785966873,
-0.07235434651374817,
-0.043166112154722214,
-0.06109735369682312,
-0.028540344908833504,
-0.034000542014837265,
-0.01414358988404274,
-0.1026499792933464,
-0.010615323670208454,
-0.087833933532238,
0.013754181563854218,
0.049471307545900345,
0.07980810105800629,
0.03385469317436218,
-0.0604921393096447,
0.07389556616544724,
-0.05511981248855591,
-0.031613029539585114,
0.06869418919086456,
0.056062985211610794,
-0.04920627921819687,
-0.05228712409734726,
0.0073603191412985325,
0.12009415030479431,
0.0012242663651704788,
0.05489853769540787,
-0.01805746555328369,
0.015613715164363384,
0.0009138060850091279,
0.0314803421497345,
-0.06534575670957565,
0.07152281701564789,
0.0035760642495006323,
0.04547662287950516,
0.07535938173532486,
-0.034928981214761734,
0.050646767020225525,
0.03978193551301956,
0.07918868213891983,
-0.061939675360918045,
0.07655525207519531,
0.011137332767248154,
0.060484468936920166,
-0.00026327939121983945,
-0.040974583476781845,
-0.013558224774897099,
-0.004468748811632395,
0.014844141900539398,
-0.028350409120321274,
-0.06708040088415146,
0.03652413934469223,
-0.04612530395388603,
-0.06691444665193558,
-0.019980376586318016,
-0.034958355128765106,
-0.03873305767774582,
-0.0014745809603482485,
0.036284420639276505,
0.05942724645137787,
0.010789724998176098,
0.009451247751712799,
0.08547545224428177,
-0.016383878886699677,
-0.04270939156413078,
0.019458437338471413,
0.029210427775979042,
-0.06155385822057724,
0.003948621451854706,
0.007728684693574905,
-0.01176084391772747,
0.032128963619470596,
0.039801523089408875,
0.04091690853238106,
0.08671730011701584,
5.1309803114354826e-33,
-0.02547844499349594,
0.06227875128388405,
-0.03546743094921112,
-0.024771882221102715,
-0.037990372627973557,
-0.02906203642487526,
-0.020249800756573677,
0.020333988592028618,
-0.0499969944357872,
-0.019218236207962036,
0.08708912134170532,
0.0778367668390274,
-0.036618392914533615,
0.014281148090958595,
-0.00010013298015110195,
0.046029094606637955,
0.011437701061367989,
0.07623325288295746,
-0.03421895578503609,
0.016692286357283592,
-0.12342631816864014,
0.007338143419474363,
0.03742903098464012,
0.06757744401693344,
0.030111348256468773,
0.18539457023143768,
0.0018591741099953651,
0.0392458438873291,
-0.060989707708358765,
0.036008115857839584,
0.044866081327199936,
-0.042435768991708755,
-0.0285878274589777,
-0.028506627306342125,
-0.015751652419567108,
-0.017711035907268524,
-0.04693850129842758,
0.05292907729744911,
0.010120265185832977,
-0.03543863818049431,
0.018010834231972694,
0.08829989284276962,
0.06373563408851624,
0.06416499614715576,
0.016052808612585068,
0.0298541821539402,
-0.12817157804965973,
-0.019326569512486458,
-0.05766754969954491,
0.024429261684417725,
-0.07285242527723312,
-0.1049513891339302,
-0.04643934220075607,
0.00966222770512104,
0.0012191281421110034,
-0.02042270079255104,
-0.037077318876981735,
0.01271963119506836,
0.07243799418210983,
0.006915579084306955,
0.01784018613398075,
0.0049589951522648335,
0.07242856919765472,
-0.008131815120577812,
0.02702518180012703,
0.034294724464416504,
-0.062367115169763565,
-0.004719225689768791,
-0.046428073197603226,
-0.01385590247809887,
-0.012849216349422932,
0.0022850497625768185,
0.0623781681060791,
-0.0399174839258194,
0.05238590016961098,
0.025920558720827103,
0.09037913382053375,
0.03739481791853905,
-0.00006759899406461045,
0.04343099519610405,
-0.051863860338926315,
-0.0007231645868159831,
0.04349256679415703,
-0.02851613238453865,
-0.08869688212871552,
-0.011335467919707298,
-0.04929102584719658,
-0.003984526731073856,
-0.05113004148006439,
-0.02728087455034256,
0.06941507756710052,
-0.04627382010221481,
-0.015423502773046494,
0.008714844472706318,
-0.05682659149169922,
-4.039287687567285e-33,
0.05617619678378105,
-0.020601343363523483,
-0.019897228106856346,
0.028507916256785393,
-0.07178965955972672,
-0.032528333365917206,
0.03872579708695412,
0.00420615216717124,
0.06282586604356766,
-0.017006393522024155,
0.10611506551504135,
0.027257928624749184,
-0.12904466688632965,
-0.08468233793973923,
-0.003258641343563795,
-0.015843475237488747,
0.02093677408993244,
-0.009268049150705338,
-0.009783264249563217,
0.013536782935261726,
-0.008958720602095127,
0.06164354830980301,
-0.031811509281396866,
-0.009250377304852009,
-0.0228678397834301,
0.005384149495512247,
0.0032185253221541643,
-0.09895416349172592,
0.020462073385715485,
-0.061260879039764404,
-0.032130394130945206,
0.08743507415056229,
0.003445233451202512,
0.05611484870314598,
0.023570502176880836,
-0.04882977157831192,
0.06393937021493912,
0.02526967227458954,
-0.00796789675951004,
0.05513767898082733,
0.06494056433439255,
0.12889635562896729,
-0.030574994161725044,
-0.08068643510341644,
-0.03573160618543625,
0.057494230568408966,
-0.003556960029527545,
-0.07375850528478622,
0.0664319172501564,
0.023381687700748444,
-0.01477896049618721,
-0.018173305317759514,
-0.06115118786692619,
0.04855832830071449,
-0.05301843583583832,
-0.009695164859294891,
-0.018996665254235268,
0.02769748494029045,
-0.02016008459031582,
-0.04480675235390663,
0.03432544320821762,
0.0028010543901473284,
0.022737791761755943,
0.017162149772047997,
-0.08211831003427505,
0.0775395855307579,
0.031117402017116547,
0.05534208193421364,
0.035087522119283676,
-0.019150979816913605,
0.01990504376590252,
-0.06823566555976868,
0.08750897645950317,
-0.08945795148611069,
0.06393549591302872,
-0.02536514215171337,
-0.02551763318479061,
-0.018039852380752563,
-0.03110324777662754,
0.007995687425136566,
-0.05834101885557175,
0.015532654710114002,
-0.06312555819749832,
0.036788783967494965,
0.07020224630832672,
-0.07012814283370972,
-0.019148143008351326,
-0.051915790885686874,
0.027102483436465263,
-0.0372428260743618,
-0.008782683871686459,
-0.02709113247692585,
0.011808161623775959,
0.021797917783260345,
0.08255255222320557,
-5.173060557694953e-8,
-0.040681254118680954,
0.027926765382289886,
-0.02280629612505436,
-0.002976026153191924,
-0.042487259954214096,
0.013845391571521759,
0.0018875079695135355,
0.07735403627157211,
-0.04219861701130867,
0.024566760286688805,
0.0545174740254879,
0.005481029860675335,
-0.015545479953289032,
-0.023201627656817436,
-0.006120453123003244,
0.0512896291911602,
-0.02247190661728382,
-0.07836906611919403,
0.030181529000401497,
0.001988589996472001,
-0.04751831665635109,
-0.03359738737344742,
0.09155721962451935,
-0.03668535128235817,
-0.03734948858618736,
0.11906836181879044,
-0.002183331875130534,
-0.007375808898359537,
0.10408838093280792,
-0.036920152604579926,
-0.004955172073096037,
-0.01659509353339672,
0.012021391652524471,
-0.003680623136460781,
0.0637332871556282,
0.018000949174165726,
-0.022398503497242928,
0.010652102530002594,
0.04578273743391037,
0.16376547515392303,
-0.041574619710445404,
-0.0944996029138565,
0.024318668991327286,
0.05338763818144798,
-0.05742157623171806,
-0.04327124357223511,
0.006330037955194712,
0.018750719726085663,
-0.037852346897125244,
0.10435530543327332,
0.0008367748814634979,
0.008559447713196278,
-0.07063579559326172,
-0.09400691092014313,
-0.12309792637825012,
-0.05364610254764557,
0.11002059280872345,
-0.034311432391405106,
-0.06330637633800507,
0.008140266872942448,
0.08587034046649933,
-0.07928493618965149,
-0.10434868186712265,
-0.006112589500844479
] | null | null | null | null | null | null | null |
[
0.017263256013393402,
-0.04136741906404495,
-0.048294465988874435,
0.04002644866704941,
0.013710254803299904,
-0.07967209070920944,
0.06035909801721573,
0.1052362248301506,
-0.015717707574367523,
0.014845971018075943,
0.02465216815471649,
0.005466796457767487,
0.06472204625606537,
0.04160894453525543,
-0.018417328596115112,
0.011477728374302387,
0.16181513667106628,
0.02603345923125744,
0.03978627920150757,
-0.032508619129657745,
0.018843738362193108,
-0.03578599914908409,
-0.059284355491399765,
0.006680191028863192,
-0.08425164222717285,
0.028836587443947792,
-0.06773020327091217,
-0.02946707047522068,
-0.08337175101041794,
0.036821525543928146,
-0.011229457333683968,
0.030365731567144394,
-0.0037051760591566563,
-0.008925664238631725,
0.03816094994544983,
-0.007233109325170517,
-0.04401232302188873,
-0.0180673785507679,
-0.09266720712184906,
0.0029224788304418325,
0.005807242821902037,
-0.0348096527159214,
0.048324957489967346,
0.010564407333731651,
-0.043063513934612274,
-0.05613911151885986,
-0.0005002528778277338,
-0.10260168462991714,
-0.08378595113754272,
0.013100950047373772,
0.07015888392925262,
0.04607886075973511,
0.03215045854449272,
0.024987179785966873,
-0.07235434651374817,
-0.043166112154722214,
-0.06109735369682312,
-0.028540344908833504,
-0.034000542014837265,
-0.01414358988404274,
-0.1026499792933464,
-0.010615323670208454,
-0.087833933532238,
0.013754181563854218,
0.049471307545900345,
0.07980810105800629,
0.03385469317436218,
-0.0604921393096447,
0.07389556616544724,
-0.05511981248855591,
-0.031613029539585114,
0.06869418919086456,
0.056062985211610794,
-0.04920627921819687,
-0.05228712409734726,
0.0073603191412985325,
0.12009415030479431,
0.0012242663651704788,
0.05489853769540787,
-0.01805746555328369,
0.015613715164363384,
0.0009138060850091279,
0.0314803421497345,
-0.06534575670957565,
0.07152281701564789,
0.0035760642495006323,
0.04547662287950516,
0.07535938173532486,
-0.034928981214761734,
0.050646767020225525,
0.03978193551301956,
0.07918868213891983,
-0.061939675360918045,
0.07655525207519531,
0.011137332767248154,
0.060484468936920166,
-0.00026327939121983945,
-0.040974583476781845,
-0.013558224774897099,
-0.004468748811632395,
0.014844141900539398,
-0.028350409120321274,
-0.06708040088415146,
0.03652413934469223,
-0.04612530395388603,
-0.06691444665193558,
-0.019980376586318016,
-0.034958355128765106,
-0.03873305767774582,
-0.0014745809603482485,
0.036284420639276505,
0.05942724645137787,
0.010789724998176098,
0.009451247751712799,
0.08547545224428177,
-0.016383878886699677,
-0.04270939156413078,
0.019458437338471413,
0.029210427775979042,
-0.06155385822057724,
0.003948621451854706,
0.007728684693574905,
-0.01176084391772747,
0.032128963619470596,
0.039801523089408875,
0.04091690853238106,
0.08671730011701584,
5.1309803114354826e-33,
-0.02547844499349594,
0.06227875128388405,
-0.03546743094921112,
-0.024771882221102715,
-0.037990372627973557,
-0.02906203642487526,
-0.020249800756573677,
0.020333988592028618,
-0.0499969944357872,
-0.019218236207962036,
0.08708912134170532,
0.0778367668390274,
-0.036618392914533615,
0.014281148090958595,
-0.00010013298015110195,
0.046029094606637955,
0.011437701061367989,
0.07623325288295746,
-0.03421895578503609,
0.016692286357283592,
-0.12342631816864014,
0.007338143419474363,
0.03742903098464012,
0.06757744401693344,
0.030111348256468773,
0.18539457023143768,
0.0018591741099953651,
0.0392458438873291,
-0.060989707708358765,
0.036008115857839584,
0.044866081327199936,
-0.042435768991708755,
-0.0285878274589777,
-0.028506627306342125,
-0.015751652419567108,
-0.017711035907268524,
-0.04693850129842758,
0.05292907729744911,
0.010120265185832977,
-0.03543863818049431,
0.018010834231972694,
0.08829989284276962,
0.06373563408851624,
0.06416499614715576,
0.016052808612585068,
0.0298541821539402,
-0.12817157804965973,
-0.019326569512486458,
-0.05766754969954491,
0.024429261684417725,
-0.07285242527723312,
-0.1049513891339302,
-0.04643934220075607,
0.00966222770512104,
0.0012191281421110034,
-0.02042270079255104,
-0.037077318876981735,
0.01271963119506836,
0.07243799418210983,
0.006915579084306955,
0.01784018613398075,
0.0049589951522648335,
0.07242856919765472,
-0.008131815120577812,
0.02702518180012703,
0.034294724464416504,
-0.062367115169763565,
-0.004719225689768791,
-0.046428073197603226,
-0.01385590247809887,
-0.012849216349422932,
0.0022850497625768185,
0.0623781681060791,
-0.0399174839258194,
0.05238590016961098,
0.025920558720827103,
0.09037913382053375,
0.03739481791853905,
-0.00006759899406461045,
0.04343099519610405,
-0.051863860338926315,
-0.0007231645868159831,
0.04349256679415703,
-0.02851613238453865,
-0.08869688212871552,
-0.011335467919707298,
-0.04929102584719658,
-0.003984526731073856,
-0.05113004148006439,
-0.02728087455034256,
0.06941507756710052,
-0.04627382010221481,
-0.015423502773046494,
0.008714844472706318,
-0.05682659149169922,
-4.039287687567285e-33,
0.05617619678378105,
-0.020601343363523483,
-0.019897228106856346,
0.028507916256785393,
-0.07178965955972672,
-0.032528333365917206,
0.03872579708695412,
0.00420615216717124,
0.06282586604356766,
-0.017006393522024155,
0.10611506551504135,
0.027257928624749184,
-0.12904466688632965,
-0.08468233793973923,
-0.003258641343563795,
-0.015843475237488747,
0.02093677408993244,
-0.009268049150705338,
-0.009783264249563217,
0.013536782935261726,
-0.008958720602095127,
0.06164354830980301,
-0.031811509281396866,
-0.009250377304852009,
-0.0228678397834301,
0.005384149495512247,
0.0032185253221541643,
-0.09895416349172592,
0.020462073385715485,
-0.061260879039764404,
-0.032130394130945206,
0.08743507415056229,
0.003445233451202512,
0.05611484870314598,
0.023570502176880836,
-0.04882977157831192,
0.06393937021493912,
0.02526967227458954,
-0.00796789675951004,
0.05513767898082733,
0.06494056433439255,
0.12889635562896729,
-0.030574994161725044,
-0.08068643510341644,
-0.03573160618543625,
0.057494230568408966,
-0.003556960029527545,
-0.07375850528478622,
0.0664319172501564,
0.023381687700748444,
-0.01477896049618721,
-0.018173305317759514,
-0.06115118786692619,
0.04855832830071449,
-0.05301843583583832,
-0.009695164859294891,
-0.018996665254235268,
0.02769748494029045,
-0.02016008459031582,
-0.04480675235390663,
0.03432544320821762,
0.0028010543901473284,
0.022737791761755943,
0.017162149772047997,
-0.08211831003427505,
0.0775395855307579,
0.031117402017116547,
0.05534208193421364,
0.035087522119283676,
-0.019150979816913605,
0.01990504376590252,
-0.06823566555976868,
0.08750897645950317,
-0.08945795148611069,
0.06393549591302872,
-0.02536514215171337,
-0.02551763318479061,
-0.018039852380752563,
-0.03110324777662754,
0.007995687425136566,
-0.05834101885557175,
0.015532654710114002,
-0.06312555819749832,
0.036788783967494965,
0.07020224630832672,
-0.07012814283370972,
-0.019148143008351326,
-0.051915790885686874,
0.027102483436465263,
-0.0372428260743618,
-0.008782683871686459,
-0.02709113247692585,
0.011808161623775959,
0.021797917783260345,
0.08255255222320557,
-5.173060557694953e-8,
-0.040681254118680954,
0.027926765382289886,
-0.02280629612505436,
-0.002976026153191924,
-0.042487259954214096,
0.013845391571521759,
0.0018875079695135355,
0.07735403627157211,
-0.04219861701130867,
0.024566760286688805,
0.0545174740254879,
0.005481029860675335,
-0.015545479953289032,
-0.023201627656817436,
-0.006120453123003244,
0.0512896291911602,
-0.02247190661728382,
-0.07836906611919403,
0.030181529000401497,
0.001988589996472001,
-0.04751831665635109,
-0.03359738737344742,
0.09155721962451935,
-0.03668535128235817,
-0.03734948858618736,
0.11906836181879044,
-0.002183331875130534,
-0.007375808898359537,
0.10408838093280792,
-0.036920152604579926,
-0.004955172073096037,
-0.01659509353339672,
0.012021391652524471,
-0.003680623136460781,
0.0637332871556282,
0.018000949174165726,
-0.022398503497242928,
0.010652102530002594,
0.04578273743391037,
0.16376547515392303,
-0.041574619710445404,
-0.0944996029138565,
0.024318668991327286,
0.05338763818144798,
-0.05742157623171806,
-0.04327124357223511,
0.006330037955194712,
0.018750719726085663,
-0.037852346897125244,
0.10435530543327332,
0.0008367748814634979,
0.008559447713196278,
-0.07063579559326172,
-0.09400691092014313,
-0.12309792637825012,
-0.05364610254764557,
0.11002059280872345,
-0.034311432391405106,
-0.06330637633800507,
0.008140266872942448,
0.08587034046649933,
-0.07928493618965149,
-0.10434868186712265,
-0.006112589500844479
] |
1401.6359
|
Daniel Gor\'in
|
Daniel Gor\'in and Lutz Schr\"oder
|
Subsumption Checking in Conjunctive Coalgebraic Fixpoint Logics
| null | null | null | null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
While reasoning in a logic extending a complete Boolean basis is coNP-hard,
restricting to conjunctive fragments of modal languages sometimes allows for
tractable reasoning even in the presence of greatest fixpoints. One such
example is the EL family of description logics; here, efficient reasoning is
based on satisfaction checking in suitable small models that characterize
formulas in terms of simulations. It is well-known, though, that not every
conjunctive modal language has a tractable reasoning problem. Natural questions
are then how common such tractable fragments are and how to identify them. In
this work we provide sufficient conditions for tractability in a general way by
considering unlabeled tableau rules for a given modal logic. We work in the
framework of coalgebraic logic as a unifying semantic setting. Apart from
recovering known results for description logics such as EL and FL0, we obtain
new ones for conjunctive fragments of relational and non-relational modal
logics with greatest fixpoints. Most notably we find tractable fragments of
game logic and the alternating-time mu-calculus.
|
[
{
"created": "Fri, 24 Jan 2014 14:50:44 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2014 10:29:38 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Apr 2014 07:09:19 GMT",
"version": "v3"
},
{
"created": "Mon, 21 Apr 2014 19:39:39 GMT",
"version": "v4"
},
{
"created": "Fri, 6 Jun 2014 12:02:36 GMT",
"version": "v5"
}
] |
2014-06-09
|
[
[
"Gorín",
"Daniel",
""
],
[
"Schröder",
"Lutz",
""
]
] |
[
-0.001983244437724352,
-0.031014738604426384,
-0.0022221324034035206,
-0.03713787719607353,
0.0171939916908741,
-0.014462053775787354,
0.06416313350200653,
0.021505260840058327,
-0.019756020978093147,
0.024766799062490463,
-0.046677496284246445,
-0.050645336508750916,
0.07317905128002167,
0.07098890095949173,
0.02976098656654358,
0.05299339443445206,
0.03488340228796005,
0.036488864570856094,
-0.09156283736228943,
-0.061383992433547974,
0.03543507680296898,
0.004622478969395161,
-0.02539447508752346,
-0.016721494495868683,
-0.04885160177946091,
0.010772647336125374,
-0.01746271923184395,
-0.03428494185209274,
0.0256962887942791,
-0.023853395134210587,
-0.017978643998503685,
0.10662480443716049,
-0.1010480523109436,
0.023814192041754723,
0.016533875837922096,
0.002988482126966119,
-0.04575949162244797,
-0.040170881897211075,
0.023489387705922127,
-0.01254804152995348,
-0.05868691951036453,
-0.016686465591192245,
-0.0374884307384491,
0.038481615483760834,
-0.019480889663100243,
0.044949907809495926,
0.03266218304634094,
-0.0040154471062123775,
-0.05376714468002319,
-0.006722192279994488,
-0.053427763283252716,
0.07389311492443085,
-0.012447042390704155,
-0.05815979838371277,
0.07971809059381485,
0.023276442661881447,
-0.01237786840647459,
-0.017673354595899582,
0.011486521922051907,
-0.013018108904361725,
-0.07848650962114334,
-0.02698446437716484,
-0.016111120581626892,
0.004534590058028698,
-0.006285394076257944,
0.004297981038689613,
0.0046738870441913605,
0.004902399145066738,
0.0331997349858284,
0.03186360374093056,
0.011121729388833046,
-0.0014125116867944598,
-0.07031257450580597,
0.0193606186658144,
-0.06474440544843674,
0.07834211736917496,
0.0983211025595665,
-0.004462370183318853,
0.0007201237021945417,
0.01728634722530842,
-0.11019118875265121,
-0.014657547697424889,
0.042595166712999344,
0.007327084429562092,
0.018676981329917908,
-0.014768797904253006,
-0.026200463995337486,
0.03092644363641739,
0.0367276705801487,
0.06501007825136185,
-0.06043983995914459,
-0.031696468591690063,
0.07714550197124481,
0.028357041999697685,
0.04711098223924637,
0.013382559642195702,
0.01016273070126772,
-0.06854178011417389,
-0.0308625940233469,
0.11816345900297165,
-0.0222014132887125,
0.0821087583899498,
0.023231154307723045,
-0.06499385088682175,
0.023356158286333084,
-0.0121779665350914,
0.04202492907643318,
0.015294750221073627,
-0.011313541792333126,
-0.08594626933336258,
-0.025611380115151405,
0.0209023579955101,
0.10499993711709976,
-0.038328561931848526,
-0.03684141859412193,
-0.011618518270552158,
0.048398490995168686,
0.020246045663952827,
0.08205699920654297,
-0.09204374253749847,
0.050713784992694855,
0.015686003491282463,
0.017150547355413437,
0.10004529356956482,
0.019789649173617363,
-0.05773547664284706,
-0.03538572043180466,
4.1089151567023664e-33,
0.009882817976176739,
0.0455443300306797,
0.07657942920923233,
0.05770475044846535,
0.07162429392337799,
0.00603908859193325,
0.0001400782202836126,
0.04494692385196686,
0.011256293393671513,
0.08236107230186462,
-0.004866312257945538,
0.10618548095226288,
-0.09752097725868225,
0.015136469155550003,
0.01716860756278038,
0.029399758204817772,
-0.021943962201476097,
-0.03902391716837883,
-0.07715896517038345,
-0.04839868098497391,
0.003772749798372388,
0.013844351284205914,
0.0042848531156778336,
0.09430749714374542,
-0.037198714911937714,
-0.04306600242853165,
0.01970033533871174,
0.013092662207782269,
0.004445401951670647,
-0.028204023838043213,
-0.04438115283846855,
-0.08878560364246368,
-0.0035403799265623093,
0.043891653418540955,
-0.02876947447657585,
-0.022208821028470993,
-0.057767678052186966,
-0.04742426052689552,
-0.03518235310912132,
-0.02366763912141323,
-0.020337946712970734,
0.004043826833367348,
-0.0570354126393795,
-0.013761796057224274,
-0.04488502815365791,
-0.0713634043931961,
-0.0716266930103302,
-0.008205833844840527,
-0.01777513697743416,
-0.05647168681025505,
0.05201653018593788,
0.045327816158533096,
0.08818500488996506,
-0.06561891734600067,
0.005054689012467861,
-0.028144387528300285,
-0.012112084776163101,
0.08110939711332321,
0.04259759932756424,
0.09870612621307373,
-0.002452475018799305,
-0.059226036071777344,
0.025412967428565025,
0.00005413481267169118,
-0.08934279531240463,
0.13788722455501556,
-0.12552312016487122,
-0.015147585421800613,
0.1439851075410843,
-0.08452316373586655,
-0.07098709046840668,
0.03528924658894539,
0.028724102303385735,
-0.01715044304728508,
0.08745935559272766,
-0.03497907519340515,
-0.006567149888724089,
-0.08743257075548172,
0.03019552491605282,
-0.037214308977127075,
0.016626855358481407,
0.04455855116248131,
-0.06152626872062683,
0.05854132026433945,
0.001690132892690599,
-0.11336088925600052,
0.0015375539660453796,
-0.015715422108769417,
-0.04179508611559868,
-0.051107257604599,
-0.09368742257356644,
-0.028009962290525436,
0.040724847465753555,
-0.015189298428595066,
0.07464773207902908,
-5.3616100990149076e-33,
-0.023741215467453003,
-0.09504315257072449,
-0.020000673830509186,
0.049940016120672226,
-0.0015882248990237713,
-0.07978390157222748,
0.059754084795713425,
-0.029526278376579285,
0.04423639550805092,
-0.07654271274805069,
-0.0778607428073883,
0.003678478067740798,
0.055560577660799026,
-0.08853043615818024,
-0.039884936064481735,
0.025004088878631592,
0.03107590600848198,
-0.05934835970401764,
-0.0290853101760149,
0.13778385519981384,
0.07140763103961945,
0.16782036423683167,
-0.14865274727344513,
-0.04914329573512077,
0.03859090805053711,
0.06345561146736145,
-0.07778884470462799,
0.030364742502570152,
0.022805679589509964,
0.039670299738645554,
-0.0036987958010286093,
-0.02940334752202034,
0.02603207714855671,
-0.06855475157499313,
-0.03708289936184883,
-0.07313027232885361,
0.07577138394117355,
0.05448459833860397,
-0.08100751787424088,
-0.0020327214151620865,
0.013754228129982948,
-0.07037808746099472,
-0.02053113467991352,
0.04314897954463959,
0.03537591174244881,
0.030414218083024025,
-0.005021609365940094,
-0.04932975396513939,
-0.016841946169734,
0.01438711304217577,
0.03785620257258415,
-0.05035803094506264,
-0.003588916501030326,
-0.01995442807674408,
0.0569167286157608,
0.004303198307752609,
-0.07980966567993164,
-0.02567705139517784,
0.044845081865787506,
-0.017824549227952957,
-0.04836900159716606,
0.01204889826476574,
0.025166112929582596,
0.034526556730270386,
0.06966898590326309,
-0.004203696269541979,
-0.014228584244847298,
-0.023212149739265442,
-0.004859544336795807,
-0.04109165817499161,
0.0033111469820141792,
0.0020662564784288406,
-0.08138825744390488,
0.004762378986924887,
0.10018792003393173,
0.09044119715690613,
0.007595665752887726,
0.0047963629476726055,
-0.011403022333979607,
-0.022287609055638313,
-0.052367739379405975,
-0.06147376820445061,
0.058242376893758774,
0.01216327678412199,
0.010697725228965282,
-0.02383273094892502,
0.03003709577023983,
0.015428955666720867,
0.06498588621616364,
0.019487949088215828,
-0.023866891860961914,
0.012392844073474407,
0.02854769490659237,
0.07072170823812485,
0.009735971689224243,
-4.858579671918051e-8,
-0.03702321648597717,
0.038669321686029434,
-0.11141276359558105,
0.050208307802677155,
0.0636601522564888,
-0.07091318070888519,
-0.03170771524310112,
0.03244762495160103,
-0.025764739140868187,
-0.048633161932229996,
0.07399740815162659,
0.07154060900211334,
-0.019839894026517868,
-0.013820633292198181,
0.007180340122431517,
0.07724795490503311,
0.007830086164176464,
-0.04929123446345329,
-0.012790569104254246,
0.0762241780757904,
-0.0026590193156152964,
0.02936507947742939,
-0.03850195184350014,
0.08845416456460953,
-0.01829427480697632,
-0.0390562079846859,
-0.10591644793748856,
0.03635502979159355,
0.04788748547434807,
0.07143887132406235,
0.02176649309694767,
0.006137619726359844,
0.07106032967567444,
0.007854818366467953,
-0.0018263605888932943,
0.05227168649435043,
-0.04610101133584976,
0.002102832542732358,
-0.01386068481951952,
-0.045460861176252365,
0.08199087530374527,
0.008939167484641075,
-0.07658591121435165,
0.03294888138771057,
0.0773579329252243,
-0.0029415132012218237,
-0.03194940462708473,
-0.07040861248970032,
-0.05960952863097191,
0.0027231888379901648,
-0.023744966834783554,
0.03258400410413742,
-0.08016417920589447,
-0.004269531928002834,
-0.042013105005025864,
0.0639839768409729,
0.006754829082638025,
0.04283100739121437,
0.024054408073425293,
-0.028190430253744125,
0.005750550888478756,
0.06355651468038559,
0.010742251761257648,
-0.1251450479030609
] | null | null | null | null | null | null | null |
[
-0.001983244437724352,
-0.031014738604426384,
-0.0022221324034035206,
-0.03713787719607353,
0.0171939916908741,
-0.014462053775787354,
0.06416313350200653,
0.021505260840058327,
-0.019756020978093147,
0.024766799062490463,
-0.046677496284246445,
-0.050645336508750916,
0.07317905128002167,
0.07098890095949173,
0.02976098656654358,
0.05299339443445206,
0.03488340228796005,
0.036488864570856094,
-0.09156283736228943,
-0.061383992433547974,
0.03543507680296898,
0.004622478969395161,
-0.02539447508752346,
-0.016721494495868683,
-0.04885160177946091,
0.010772647336125374,
-0.01746271923184395,
-0.03428494185209274,
0.0256962887942791,
-0.023853395134210587,
-0.017978643998503685,
0.10662480443716049,
-0.1010480523109436,
0.023814192041754723,
0.016533875837922096,
0.002988482126966119,
-0.04575949162244797,
-0.040170881897211075,
0.023489387705922127,
-0.01254804152995348,
-0.05868691951036453,
-0.016686465591192245,
-0.0374884307384491,
0.038481615483760834,
-0.019480889663100243,
0.044949907809495926,
0.03266218304634094,
-0.0040154471062123775,
-0.05376714468002319,
-0.006722192279994488,
-0.053427763283252716,
0.07389311492443085,
-0.012447042390704155,
-0.05815979838371277,
0.07971809059381485,
0.023276442661881447,
-0.01237786840647459,
-0.017673354595899582,
0.011486521922051907,
-0.013018108904361725,
-0.07848650962114334,
-0.02698446437716484,
-0.016111120581626892,
0.004534590058028698,
-0.006285394076257944,
0.004297981038689613,
0.0046738870441913605,
0.004902399145066738,
0.0331997349858284,
0.03186360374093056,
0.011121729388833046,
-0.0014125116867944598,
-0.07031257450580597,
0.0193606186658144,
-0.06474440544843674,
0.07834211736917496,
0.0983211025595665,
-0.004462370183318853,
0.0007201237021945417,
0.01728634722530842,
-0.11019118875265121,
-0.014657547697424889,
0.042595166712999344,
0.007327084429562092,
0.018676981329917908,
-0.014768797904253006,
-0.026200463995337486,
0.03092644363641739,
0.0367276705801487,
0.06501007825136185,
-0.06043983995914459,
-0.031696468591690063,
0.07714550197124481,
0.028357041999697685,
0.04711098223924637,
0.013382559642195702,
0.01016273070126772,
-0.06854178011417389,
-0.0308625940233469,
0.11816345900297165,
-0.0222014132887125,
0.0821087583899498,
0.023231154307723045,
-0.06499385088682175,
0.023356158286333084,
-0.0121779665350914,
0.04202492907643318,
0.015294750221073627,
-0.011313541792333126,
-0.08594626933336258,
-0.025611380115151405,
0.0209023579955101,
0.10499993711709976,
-0.038328561931848526,
-0.03684141859412193,
-0.011618518270552158,
0.048398490995168686,
0.020246045663952827,
0.08205699920654297,
-0.09204374253749847,
0.050713784992694855,
0.015686003491282463,
0.017150547355413437,
0.10004529356956482,
0.019789649173617363,
-0.05773547664284706,
-0.03538572043180466,
4.1089151567023664e-33,
0.009882817976176739,
0.0455443300306797,
0.07657942920923233,
0.05770475044846535,
0.07162429392337799,
0.00603908859193325,
0.0001400782202836126,
0.04494692385196686,
0.011256293393671513,
0.08236107230186462,
-0.004866312257945538,
0.10618548095226288,
-0.09752097725868225,
0.015136469155550003,
0.01716860756278038,
0.029399758204817772,
-0.021943962201476097,
-0.03902391716837883,
-0.07715896517038345,
-0.04839868098497391,
0.003772749798372388,
0.013844351284205914,
0.0042848531156778336,
0.09430749714374542,
-0.037198714911937714,
-0.04306600242853165,
0.01970033533871174,
0.013092662207782269,
0.004445401951670647,
-0.028204023838043213,
-0.04438115283846855,
-0.08878560364246368,
-0.0035403799265623093,
0.043891653418540955,
-0.02876947447657585,
-0.022208821028470993,
-0.057767678052186966,
-0.04742426052689552,
-0.03518235310912132,
-0.02366763912141323,
-0.020337946712970734,
0.004043826833367348,
-0.0570354126393795,
-0.013761796057224274,
-0.04488502815365791,
-0.0713634043931961,
-0.0716266930103302,
-0.008205833844840527,
-0.01777513697743416,
-0.05647168681025505,
0.05201653018593788,
0.045327816158533096,
0.08818500488996506,
-0.06561891734600067,
0.005054689012467861,
-0.028144387528300285,
-0.012112084776163101,
0.08110939711332321,
0.04259759932756424,
0.09870612621307373,
-0.002452475018799305,
-0.059226036071777344,
0.025412967428565025,
0.00005413481267169118,
-0.08934279531240463,
0.13788722455501556,
-0.12552312016487122,
-0.015147585421800613,
0.1439851075410843,
-0.08452316373586655,
-0.07098709046840668,
0.03528924658894539,
0.028724102303385735,
-0.01715044304728508,
0.08745935559272766,
-0.03497907519340515,
-0.006567149888724089,
-0.08743257075548172,
0.03019552491605282,
-0.037214308977127075,
0.016626855358481407,
0.04455855116248131,
-0.06152626872062683,
0.05854132026433945,
0.001690132892690599,
-0.11336088925600052,
0.0015375539660453796,
-0.015715422108769417,
-0.04179508611559868,
-0.051107257604599,
-0.09368742257356644,
-0.028009962290525436,
0.040724847465753555,
-0.015189298428595066,
0.07464773207902908,
-5.3616100990149076e-33,
-0.023741215467453003,
-0.09504315257072449,
-0.020000673830509186,
0.049940016120672226,
-0.0015882248990237713,
-0.07978390157222748,
0.059754084795713425,
-0.029526278376579285,
0.04423639550805092,
-0.07654271274805069,
-0.0778607428073883,
0.003678478067740798,
0.055560577660799026,
-0.08853043615818024,
-0.039884936064481735,
0.025004088878631592,
0.03107590600848198,
-0.05934835970401764,
-0.0290853101760149,
0.13778385519981384,
0.07140763103961945,
0.16782036423683167,
-0.14865274727344513,
-0.04914329573512077,
0.03859090805053711,
0.06345561146736145,
-0.07778884470462799,
0.030364742502570152,
0.022805679589509964,
0.039670299738645554,
-0.0036987958010286093,
-0.02940334752202034,
0.02603207714855671,
-0.06855475157499313,
-0.03708289936184883,
-0.07313027232885361,
0.07577138394117355,
0.05448459833860397,
-0.08100751787424088,
-0.0020327214151620865,
0.013754228129982948,
-0.07037808746099472,
-0.02053113467991352,
0.04314897954463959,
0.03537591174244881,
0.030414218083024025,
-0.005021609365940094,
-0.04932975396513939,
-0.016841946169734,
0.01438711304217577,
0.03785620257258415,
-0.05035803094506264,
-0.003588916501030326,
-0.01995442807674408,
0.0569167286157608,
0.004303198307752609,
-0.07980966567993164,
-0.02567705139517784,
0.044845081865787506,
-0.017824549227952957,
-0.04836900159716606,
0.01204889826476574,
0.025166112929582596,
0.034526556730270386,
0.06966898590326309,
-0.004203696269541979,
-0.014228584244847298,
-0.023212149739265442,
-0.004859544336795807,
-0.04109165817499161,
0.0033111469820141792,
0.0020662564784288406,
-0.08138825744390488,
0.004762378986924887,
0.10018792003393173,
0.09044119715690613,
0.007595665752887726,
0.0047963629476726055,
-0.011403022333979607,
-0.022287609055638313,
-0.052367739379405975,
-0.06147376820445061,
0.058242376893758774,
0.01216327678412199,
0.010697725228965282,
-0.02383273094892502,
0.03003709577023983,
0.015428955666720867,
0.06498588621616364,
0.019487949088215828,
-0.023866891860961914,
0.012392844073474407,
0.02854769490659237,
0.07072170823812485,
0.009735971689224243,
-4.858579671918051e-8,
-0.03702321648597717,
0.038669321686029434,
-0.11141276359558105,
0.050208307802677155,
0.0636601522564888,
-0.07091318070888519,
-0.03170771524310112,
0.03244762495160103,
-0.025764739140868187,
-0.048633161932229996,
0.07399740815162659,
0.07154060900211334,
-0.019839894026517868,
-0.013820633292198181,
0.007180340122431517,
0.07724795490503311,
0.007830086164176464,
-0.04929123446345329,
-0.012790569104254246,
0.0762241780757904,
-0.0026590193156152964,
0.02936507947742939,
-0.03850195184350014,
0.08845416456460953,
-0.01829427480697632,
-0.0390562079846859,
-0.10591644793748856,
0.03635502979159355,
0.04788748547434807,
0.07143887132406235,
0.02176649309694767,
0.006137619726359844,
0.07106032967567444,
0.007854818366467953,
-0.0018263605888932943,
0.05227168649435043,
-0.04610101133584976,
0.002102832542732358,
-0.01386068481951952,
-0.045460861176252365,
0.08199087530374527,
0.008939167484641075,
-0.07658591121435165,
0.03294888138771057,
0.0773579329252243,
-0.0029415132012218237,
-0.03194940462708473,
-0.07040861248970032,
-0.05960952863097191,
0.0027231888379901648,
-0.023744966834783554,
0.03258400410413742,
-0.08016417920589447,
-0.004269531928002834,
-0.042013105005025864,
0.0639839768409729,
0.006754829082638025,
0.04283100739121437,
0.024054408073425293,
-0.028190430253744125,
0.005750550888478756,
0.06355651468038559,
0.010742251761257648,
-0.1251450479030609
] |
1401.6360
|
Luc Bouganim
|
Niv Dayan (IT), Martin Kjaer Svendsen (IT), Matias Bjorling, Philippe
Bonnet (IT), Luc Bouganim (PRISM, INRIA Rocquencourt)
|
EagleTree: Exploring the Design Space of SSD-Based Algorithms
|
39th International Conference on Very Large Data Bases (VLDB) (2013)
| null | null | null |
cs.DB
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Solid State Drives (SSDs) are a moving target for system designers: they are
black boxes, their internals are undocumented, and their performance
characteristics vary across models. There is no appropriate analytical model
and experimenting with commercial SSDs is cumbersome, as it requires a careful
experimental methodology to ensure repeatability. Worse, performance results
obtained on a given SSD cannot be generalized. Overall, it is impossible to
explore how a given algorithm, say a hash join or LSM-tree insertions,
leverages the intrinsic parallelism of a modern SSD, or how a slight change in
the internals of an SSD would impact its overall performance. In this paper, we
propose a new SSD simulation framework, named EagleTree, which addresses these
problems, and enables a principled study of SSD-Based algorithms. The
demonstration scenario illustrates the design space for algorithms based on an
SSD-based IO stack, and shows how researchers and practitioners can use
EagleTree to perform tractable explorations of this complex design space.
|
[
{
"created": "Fri, 24 Jan 2014 14:54:41 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Dayan",
"Niv",
"",
"IT"
],
[
"Svendsen",
"Martin Kjaer",
"",
"IT"
],
[
"Bjorling",
"Matias",
"",
"IT"
],
[
"Bonnet",
"Philippe",
"",
"IT"
],
[
"Bouganim",
"Luc",
"",
"PRISM, INRIA Rocquencourt"
]
] |
[
-0.0930187776684761,
0.038222573697566986,
-0.006552909035235643,
0.040941640734672546,
0.0013480675406754017,
-0.09180987626314163,
-0.08163391053676605,
-0.03212785720825195,
-0.01653701812028885,
-0.032854191958904266,
-0.08222303539514542,
0.06323269754648209,
0.05439304932951927,
-0.0476737916469574,
-0.015403926372528076,
-0.04451867565512657,
0.025583259761333466,
0.016660062596201897,
0.017736248672008514,
-0.006276044528931379,
0.010068653151392937,
-0.01081944815814495,
-0.03418336808681488,
-0.016251828521490097,
-0.02030244842171669,
-0.016526667401194572,
0.030123159289360046,
-0.04859721660614014,
-0.01897440478205681,
-0.02516990341246128,
0.01837952435016632,
-0.0379825085401535,
-0.04421505704522133,
-0.014765684492886066,
-0.047819651663303375,
-0.05992124602198601,
0.05763585492968559,
-0.09829523414373398,
-0.09899803251028061,
-0.07748828828334808,
-0.004230901598930359,
0.025234349071979523,
-0.03338667005300522,
0.03665703162550926,
0.029464224353432655,
0.020743977278470993,
0.012123032473027706,
-0.01513974741101265,
-0.016448473557829857,
-0.06269319355487823,
-0.06065899506211281,
-0.04146859422326088,
-0.03370381519198418,
0.06306624412536621,
0.006500772666186094,
0.06653133034706116,
0.06387007981538773,
-0.06940839439630508,
-0.07186584174633026,
0.0683867409825325,
0.05291716009378433,
-0.03555155545473099,
0.08295644074678421,
-0.006584575865417719,
0.06928052753210068,
0.06071074679493904,
0.088685043156147,
0.05835610628128052,
-0.024399643763899803,
-0.01033439114689827,
0.030642423778772354,
0.02280455455183983,
-0.022264257073402405,
0.05549342930316925,
0.0056298705749213696,
-0.03728208318352699,
0.0251028910279274,
-0.03008248843252659,
0.007759090978652239,
-0.05016348138451576,
-0.1304038017988205,
0.004074410535395145,
-0.041232939809560776,
0.018123339861631393,
0.022807568311691284,
-0.01953733153641224,
-0.07944022864103317,
0.040548499673604965,
-0.012078726664185524,
0.03854525461792946,
0.09803880006074905,
-0.012841866351664066,
-0.008716819807887077,
-0.051254186779260635,
0.06085729971528053,
0.006334999110549688,
0.010635326616466045,
-0.03233630210161209,
0.020584875717759132,
0.007645575329661369,
-0.04560011252760887,
0.09286434203386307,
0.08858969807624817,
-0.09769802540540695,
-0.014391071163117886,
0.02882857620716095,
0.012455680407583714,
-0.0005146344774402678,
-0.1231614425778389,
-0.06235779449343681,
0.10565808415412903,
0.030641572549939156,
-0.050093330442905426,
0.04629354178905487,
-0.039134155958890915,
-0.0221529733389616,
-0.06859898567199707,
-0.055493198335170746,
-0.017925452440977097,
0.01411295123398304,
-0.0005894812638871372,
0.018658118322491646,
-0.00734288664534688,
0.04116023704409599,
0.0009177564643323421,
-0.016215374693274498,
-0.08321035653352737,
1.201509969351404e-33,
0.010201425291597843,
0.025518517941236496,
-0.02040327712893486,
0.0391378290951252,
0.04759960621595383,
-0.01914093643426895,
-0.0111080352216959,
-0.02055446058511734,
-0.004941421095281839,
0.06629335880279541,
-0.00931586604565382,
-0.023099515587091446,
0.028619423508644104,
-0.011776343919336796,
0.13887329399585724,
-0.065247543156147,
-0.05109480023384094,
0.03401493653655052,
-0.033794157207012177,
-0.013840044848620892,
0.11898186057806015,
0.054302990436553955,
-0.03033134900033474,
-0.05927647650241852,
0.08648686110973358,
0.06714975833892822,
-0.010944639332592487,
-0.04465537145733833,
0.03379172086715698,
0.025020960718393326,
-0.040769271552562714,
0.013771723955869675,
-0.044993478804826736,
0.005348437465727329,
0.0679466500878334,
0.012947024777531624,
0.014297830872237682,
-0.11651434004306793,
-0.02818424440920353,
-0.07846905291080475,
-0.010049988515675068,
0.010444794781506062,
-0.003727660048753023,
0.03996908292174339,
-0.1273641735315323,
-0.0381108783185482,
0.004967253189533949,
0.02504807338118553,
0.05960444360971451,
0.007461836561560631,
-0.0005720294429920614,
0.03239411115646362,
0.02210564725100994,
-0.01215988676995039,
-0.006612006109207869,
0.03329681232571602,
0.04160618036985397,
0.00824526697397232,
0.08907432854175568,
0.15470576286315918,
-0.06473498791456223,
-0.039321232587099075,
0.01935703121125698,
0.036036018282175064,
-0.052804261445999146,
0.06999032944440842,
0.06646766513586044,
-0.023601548746228218,
-0.017634069547057152,
0.0073250168934464455,
0.00701214000582695,
-0.07079287618398666,
-0.0441880077123642,
-0.03516891971230507,
0.024369440972805023,
-0.058137938380241394,
0.0267537459731102,
-0.03133546561002731,
-0.03141311928629875,
-0.09251754730939865,
-0.023950740694999695,
0.02739858068525791,
-0.04227181524038315,
0.04218391701579094,
0.057885922491550446,
-0.04028123617172241,
-0.015411018393933773,
-0.014595403335988522,
-0.06454499810934067,
-0.08725959807634354,
-0.024537567049264908,
-0.018925732001662254,
0.15130864083766937,
-0.020198281854391098,
-0.02906515821814537,
-2.349182113764155e-33,
-0.02869187481701374,
-0.07849583774805069,
0.08963225036859512,
0.0646655410528183,
-0.017426511272788048,
-0.054677363485097885,
-0.029153354465961456,
-0.07490134239196777,
0.007595066446810961,
0.025618944317102432,
-0.06915517151355743,
-0.011310189962387085,
0.02099142223596573,
0.004897870123386383,
0.030873648822307587,
0.02961345575749874,
-0.011348485946655273,
-0.09710382670164108,
0.02352091483771801,
0.011421142145991325,
0.022398822009563446,
0.07004562765359879,
0.07416563481092453,
-0.0319446437060833,
-0.003596777794882655,
0.034053586423397064,
-0.04352210834622383,
0.01374950259923935,
-0.009123031049966812,
-0.009118225425481796,
-0.01847069151699543,
-0.009928664192557335,
-0.003123662667348981,
-0.030829062685370445,
0.0002324603556189686,
0.03296814113855362,
0.04424396902322769,
-0.029324259608983994,
0.01115560531616211,
-0.04713546857237816,
0.03380716219544411,
-0.030895382165908813,
0.0013513914309442043,
0.008675388991832733,
-0.00022481748601421714,
0.052151624113321304,
-0.0807386115193367,
0.08055999130010605,
0.004548464436084032,
-0.04069766774773598,
-0.0340237058699131,
0.03378315269947052,
0.08803440630435944,
0.023127714172005653,
0.04500366374850273,
-0.06558790057897568,
-0.07214144617319107,
0.04163428395986557,
0.06232514977455139,
-0.009838218800723553,
0.009732670150697231,
-0.04628188908100128,
0.05963865667581558,
-0.031546782702207565,
-0.02866523340344429,
-0.063961923122406,
0.006019290070980787,
-0.09366755932569504,
-0.054279714822769165,
0.02043912373483181,
-0.0257798433303833,
0.015450001694262028,
-0.0029632726218551397,
0.0045092725194990635,
-0.03374667838215828,
-0.0392906554043293,
0.07133825123310089,
-0.03113178350031376,
0.06856834143400192,
0.05017166584730148,
-0.09519767016172409,
0.08973117172718048,
-0.048326436430215836,
-0.010309544391930103,
-0.00925658829510212,
-0.004107288084924221,
-0.020085342228412628,
0.03921212628483772,
0.0053298501297831535,
-0.0328107513487339,
-0.07953516393899918,
0.09798993915319443,
-0.0027720138896256685,
0.0368378609418869,
-0.09857228398323059,
-4.0857706551378214e-8,
-0.016380444169044495,
0.02506653219461441,
0.04875039681792259,
0.0570303313434124,
0.03644042834639549,
-0.08703267574310303,
0.02234633080661297,
0.046435315161943436,
-0.022718269377946854,
-0.024480195716023445,
0.11378029733896255,
-0.06299632787704468,
0.028709547594189644,
-0.10043229907751083,
0.045963406562805176,
0.08317767828702927,
0.018388204276561737,
-0.03478103503584862,
-0.051608745008707047,
0.020239921286702156,
0.07081055641174316,
0.07899179309606552,
0.06775295734405518,
0.07203684002161026,
-0.004762195982038975,
0.041815925389528275,
0.0691821500658989,
-0.022027641534805298,
0.06948723644018173,
0.052818939089775085,
-0.014222404919564724,
0.03723679482936859,
0.0547032468020916,
0.0930752158164978,
0.05104212835431099,
0.010326339863240719,
0.038997963070869446,
0.12134504318237305,
0.08186797797679901,
0.038225360214710236,
-0.018013929948210716,
-0.005182880442589521,
0.005870715714991093,
0.04816005751490593,
-0.008777974173426628,
-0.020914213731884956,
-0.08938197791576385,
0.07979612797498703,
-0.013648180291056633,
0.08967369049787521,
-0.07122938334941864,
-0.06315229833126068,
-0.05816727876663208,
0.05942200496792793,
-0.07256709039211273,
0.016646960750222206,
-0.0018686387920752168,
0.0015532999532297254,
0.06676526367664337,
0.09205371141433716,
0.0949217826128006,
-0.08655630797147751,
-0.06554002314805984,
0.06787806749343872
] | null | null | null | null | null | null | null |
[
-0.0930187776684761,
0.038222573697566986,
-0.006552909035235643,
0.040941640734672546,
0.0013480675406754017,
-0.09180987626314163,
-0.08163391053676605,
-0.03212785720825195,
-0.01653701812028885,
-0.032854191958904266,
-0.08222303539514542,
0.06323269754648209,
0.05439304932951927,
-0.0476737916469574,
-0.015403926372528076,
-0.04451867565512657,
0.025583259761333466,
0.016660062596201897,
0.017736248672008514,
-0.006276044528931379,
0.010068653151392937,
-0.01081944815814495,
-0.03418336808681488,
-0.016251828521490097,
-0.02030244842171669,
-0.016526667401194572,
0.030123159289360046,
-0.04859721660614014,
-0.01897440478205681,
-0.02516990341246128,
0.01837952435016632,
-0.0379825085401535,
-0.04421505704522133,
-0.014765684492886066,
-0.047819651663303375,
-0.05992124602198601,
0.05763585492968559,
-0.09829523414373398,
-0.09899803251028061,
-0.07748828828334808,
-0.004230901598930359,
0.025234349071979523,
-0.03338667005300522,
0.03665703162550926,
0.029464224353432655,
0.020743977278470993,
0.012123032473027706,
-0.01513974741101265,
-0.016448473557829857,
-0.06269319355487823,
-0.06065899506211281,
-0.04146859422326088,
-0.03370381519198418,
0.06306624412536621,
0.006500772666186094,
0.06653133034706116,
0.06387007981538773,
-0.06940839439630508,
-0.07186584174633026,
0.0683867409825325,
0.05291716009378433,
-0.03555155545473099,
0.08295644074678421,
-0.006584575865417719,
0.06928052753210068,
0.06071074679493904,
0.088685043156147,
0.05835610628128052,
-0.024399643763899803,
-0.01033439114689827,
0.030642423778772354,
0.02280455455183983,
-0.022264257073402405,
0.05549342930316925,
0.0056298705749213696,
-0.03728208318352699,
0.0251028910279274,
-0.03008248843252659,
0.007759090978652239,
-0.05016348138451576,
-0.1304038017988205,
0.004074410535395145,
-0.041232939809560776,
0.018123339861631393,
0.022807568311691284,
-0.01953733153641224,
-0.07944022864103317,
0.040548499673604965,
-0.012078726664185524,
0.03854525461792946,
0.09803880006074905,
-0.012841866351664066,
-0.008716819807887077,
-0.051254186779260635,
0.06085729971528053,
0.006334999110549688,
0.010635326616466045,
-0.03233630210161209,
0.020584875717759132,
0.007645575329661369,
-0.04560011252760887,
0.09286434203386307,
0.08858969807624817,
-0.09769802540540695,
-0.014391071163117886,
0.02882857620716095,
0.012455680407583714,
-0.0005146344774402678,
-0.1231614425778389,
-0.06235779449343681,
0.10565808415412903,
0.030641572549939156,
-0.050093330442905426,
0.04629354178905487,
-0.039134155958890915,
-0.0221529733389616,
-0.06859898567199707,
-0.055493198335170746,
-0.017925452440977097,
0.01411295123398304,
-0.0005894812638871372,
0.018658118322491646,
-0.00734288664534688,
0.04116023704409599,
0.0009177564643323421,
-0.016215374693274498,
-0.08321035653352737,
1.201509969351404e-33,
0.010201425291597843,
0.025518517941236496,
-0.02040327712893486,
0.0391378290951252,
0.04759960621595383,
-0.01914093643426895,
-0.0111080352216959,
-0.02055446058511734,
-0.004941421095281839,
0.06629335880279541,
-0.00931586604565382,
-0.023099515587091446,
0.028619423508644104,
-0.011776343919336796,
0.13887329399585724,
-0.065247543156147,
-0.05109480023384094,
0.03401493653655052,
-0.033794157207012177,
-0.013840044848620892,
0.11898186057806015,
0.054302990436553955,
-0.03033134900033474,
-0.05927647650241852,
0.08648686110973358,
0.06714975833892822,
-0.010944639332592487,
-0.04465537145733833,
0.03379172086715698,
0.025020960718393326,
-0.040769271552562714,
0.013771723955869675,
-0.044993478804826736,
0.005348437465727329,
0.0679466500878334,
0.012947024777531624,
0.014297830872237682,
-0.11651434004306793,
-0.02818424440920353,
-0.07846905291080475,
-0.010049988515675068,
0.010444794781506062,
-0.003727660048753023,
0.03996908292174339,
-0.1273641735315323,
-0.0381108783185482,
0.004967253189533949,
0.02504807338118553,
0.05960444360971451,
0.007461836561560631,
-0.0005720294429920614,
0.03239411115646362,
0.02210564725100994,
-0.01215988676995039,
-0.006612006109207869,
0.03329681232571602,
0.04160618036985397,
0.00824526697397232,
0.08907432854175568,
0.15470576286315918,
-0.06473498791456223,
-0.039321232587099075,
0.01935703121125698,
0.036036018282175064,
-0.052804261445999146,
0.06999032944440842,
0.06646766513586044,
-0.023601548746228218,
-0.017634069547057152,
0.0073250168934464455,
0.00701214000582695,
-0.07079287618398666,
-0.0441880077123642,
-0.03516891971230507,
0.024369440972805023,
-0.058137938380241394,
0.0267537459731102,
-0.03133546561002731,
-0.03141311928629875,
-0.09251754730939865,
-0.023950740694999695,
0.02739858068525791,
-0.04227181524038315,
0.04218391701579094,
0.057885922491550446,
-0.04028123617172241,
-0.015411018393933773,
-0.014595403335988522,
-0.06454499810934067,
-0.08725959807634354,
-0.024537567049264908,
-0.018925732001662254,
0.15130864083766937,
-0.020198281854391098,
-0.02906515821814537,
-2.349182113764155e-33,
-0.02869187481701374,
-0.07849583774805069,
0.08963225036859512,
0.0646655410528183,
-0.017426511272788048,
-0.054677363485097885,
-0.029153354465961456,
-0.07490134239196777,
0.007595066446810961,
0.025618944317102432,
-0.06915517151355743,
-0.011310189962387085,
0.02099142223596573,
0.004897870123386383,
0.030873648822307587,
0.02961345575749874,
-0.011348485946655273,
-0.09710382670164108,
0.02352091483771801,
0.011421142145991325,
0.022398822009563446,
0.07004562765359879,
0.07416563481092453,
-0.0319446437060833,
-0.003596777794882655,
0.034053586423397064,
-0.04352210834622383,
0.01374950259923935,
-0.009123031049966812,
-0.009118225425481796,
-0.01847069151699543,
-0.009928664192557335,
-0.003123662667348981,
-0.030829062685370445,
0.0002324603556189686,
0.03296814113855362,
0.04424396902322769,
-0.029324259608983994,
0.01115560531616211,
-0.04713546857237816,
0.03380716219544411,
-0.030895382165908813,
0.0013513914309442043,
0.008675388991832733,
-0.00022481748601421714,
0.052151624113321304,
-0.0807386115193367,
0.08055999130010605,
0.004548464436084032,
-0.04069766774773598,
-0.0340237058699131,
0.03378315269947052,
0.08803440630435944,
0.023127714172005653,
0.04500366374850273,
-0.06558790057897568,
-0.07214144617319107,
0.04163428395986557,
0.06232514977455139,
-0.009838218800723553,
0.009732670150697231,
-0.04628188908100128,
0.05963865667581558,
-0.031546782702207565,
-0.02866523340344429,
-0.063961923122406,
0.006019290070980787,
-0.09366755932569504,
-0.054279714822769165,
0.02043912373483181,
-0.0257798433303833,
0.015450001694262028,
-0.0029632726218551397,
0.0045092725194990635,
-0.03374667838215828,
-0.0392906554043293,
0.07133825123310089,
-0.03113178350031376,
0.06856834143400192,
0.05017166584730148,
-0.09519767016172409,
0.08973117172718048,
-0.048326436430215836,
-0.010309544391930103,
-0.00925658829510212,
-0.004107288084924221,
-0.020085342228412628,
0.03921212628483772,
0.0053298501297831535,
-0.0328107513487339,
-0.07953516393899918,
0.09798993915319443,
-0.0027720138896256685,
0.0368378609418869,
-0.09857228398323059,
-4.0857706551378214e-8,
-0.016380444169044495,
0.02506653219461441,
0.04875039681792259,
0.0570303313434124,
0.03644042834639549,
-0.08703267574310303,
0.02234633080661297,
0.046435315161943436,
-0.022718269377946854,
-0.024480195716023445,
0.11378029733896255,
-0.06299632787704468,
0.028709547594189644,
-0.10043229907751083,
0.045963406562805176,
0.08317767828702927,
0.018388204276561737,
-0.03478103503584862,
-0.051608745008707047,
0.020239921286702156,
0.07081055641174316,
0.07899179309606552,
0.06775295734405518,
0.07203684002161026,
-0.004762195982038975,
0.041815925389528275,
0.0691821500658989,
-0.022027641534805298,
0.06948723644018173,
0.052818939089775085,
-0.014222404919564724,
0.03723679482936859,
0.0547032468020916,
0.0930752158164978,
0.05104212835431099,
0.010326339863240719,
0.038997963070869446,
0.12134504318237305,
0.08186797797679901,
0.038225360214710236,
-0.018013929948210716,
-0.005182880442589521,
0.005870715714991093,
0.04816005751490593,
-0.008777974173426628,
-0.020914213731884956,
-0.08938197791576385,
0.07979612797498703,
-0.013648180291056633,
0.08967369049787521,
-0.07122938334941864,
-0.06315229833126068,
-0.05816727876663208,
0.05942200496792793,
-0.07256709039211273,
0.016646960750222206,
-0.0018686387920752168,
0.0015532999532297254,
0.06676526367664337,
0.09205371141433716,
0.0949217826128006,
-0.08655630797147751,
-0.06554002314805984,
0.06787806749343872
] |
1401.6361
|
Michel Kieffer
|
Nesrine Changuel, Bessem Sayadi, Michel Kieffer (LTCI, IUF)
|
Control of Multiple Remote Servers for Quality-Fair Delivery of
Multimedia Contents
| null | null | null | null |
cs.MM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper proposes a control scheme for the quality-fair delivery of several
encoded video streams to mobile users sharing a common wireless resource. Video
quality fairness, as well as similar delivery delays are targeted among
streams. The proposed controller is implemented within some aggregator located
near the bottleneck of the network. The transmission rate among streams is
adapted based on the quality of the already encoded and buffered packets in the
aggregator. Encoding rate targets are evaluated by the aggregator and fed back
to each remote video server (fully centralized solution), or directly evaluated
by each server in a distributed way (partially distributed solution). Each
encoding rate target is adjusted for each stream independently based on the
corresponding buffer level or buffering delay in the aggregator. Communication
delays between the servers and the aggregator are taken into account. The
transmission and encoding rate control problems are studied with a
control-theoretic perspective. The system is described with a multi-input
multi-output model. Proportional Integral (PI) controllers are used to adjust
the video quality and control the aggregator buffer levels. The system
equilibrium and stability properties are studied. This provides guidelines for
choosing the parameters of the PI controllers. Experimental results show the
convergence of the proposed control system and demonstrate the improvement in
video quality fairness compared to a classical transmission rate fair streaming
solution and to a utility max-min fair approach.
|
[
{
"created": "Fri, 24 Jan 2014 14:56:42 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Changuel",
"Nesrine",
"",
"LTCI, IUF"
],
[
"Sayadi",
"Bessem",
"",
"LTCI, IUF"
],
[
"Kieffer",
"Michel",
"",
"LTCI, IUF"
]
] |
[
0.008270972408354282,
-0.07868865132331848,
-0.01714763045310974,
-0.05171946436166763,
-0.006083575543016195,
0.03775794059038162,
-0.012097030878067017,
0.012482808902859688,
0.09378287941217422,
0.10834997147321701,
0.020287511870265007,
0.017382660880684853,
0.08062744140625,
-0.013348234817385674,
-0.02309018187224865,
-0.025180494412779808,
0.10661526024341583,
0.048485785722732544,
-0.11501520872116089,
-0.0484032966196537,
0.05283002555370331,
-0.03446328639984131,
0.003228402230888605,
0.004623353946954012,
0.01315330807119608,
-0.02181091718375683,
-0.03839457407593727,
0.007448446471244097,
0.05325360968708992,
-0.003359418362379074,
-0.02621893770992756,
-0.12085401266813278,
-0.013620378449559212,
-0.003497786121442914,
-0.05969893932342529,
-0.08141598850488663,
0.013159801252186298,
-0.08577298372983932,
-0.03838236257433891,
0.027607230469584465,
0.04401833191514015,
0.06040995568037033,
-0.008703864179551601,
-0.011887738481163979,
-0.06478223204612732,
0.08145409822463989,
-0.0008669810486026108,
0.03143851459026337,
-0.06807031482458115,
-0.07898852974176407,
0.062027622014284134,
-0.004711268935352564,
-0.012620070017874241,
0.020906735211610794,
-0.00822418462485075,
-0.042666979134082794,
-0.07835112512111664,
0.04956936836242676,
0.017828073352575302,
0.019719954580068588,
-0.08922944962978363,
-0.01786835864186287,
0.02917080745100975,
0.026215894147753716,
0.04111955687403679,
0.012359619140625,
0.038612574338912964,
0.023541107773780823,
-0.0553223080933094,
-0.07278966903686523,
-0.08814960718154907,
0.0014778474578633904,
0.013883274979889393,
0.012334366329014301,
-0.05762048438191414,
-0.038114115595817566,
0.043766386806964874,
0.05544111877679825,
-0.04578769579529762,
0.04376188665628433,
0.08226998895406723,
0.018733752891421318,
-0.013704091310501099,
-0.024967404082417488,
-0.002110460540279746,
-0.04181196540594101,
0.008251162245869637,
0.047696709632873535,
-0.01659909263253212,
0.002276767510920763,
-0.036310825496912,
0.17359620332717896,
0.04723479226231575,
0.04281607270240784,
-0.03892863169312477,
0.018304117023944855,
-0.005602128803730011,
-0.038336381316185,
-0.0037810076028108597,
0.05174219235777855,
0.018289417028427124,
-0.039519064128398895,
0.06263703107833862,
-0.031874511390924454,
0.09191259741783142,
-0.007883419282734394,
0.02728787623345852,
0.12764732539653778,
0.029880056157708168,
0.06632816046476364,
-0.061494264751672745,
-0.020930878818035126,
-0.027545632794499397,
-0.0035181830171495676,
-0.05005493760108948,
0.14834915101528168,
0.025698615238070488,
-0.04769325628876686,
-0.019730912521481514,
-0.05064187943935394,
-0.027128132060170174,
-0.13609275221824646,
-0.017777185887098312,
-0.027902361005544662,
0.06623045355081558,
0.0214440505951643,
0.024989061057567596,
1.303741886522953e-33,
-0.11047878861427307,
-0.010975655168294907,
-0.12137758731842041,
-0.0467684231698513,
-0.022782430052757263,
0.037562914192676544,
0.05072159692645073,
0.04352906718850136,
-0.028942300006747246,
-0.08090640604496002,
0.021565420553088188,
-0.06760837137699127,
-0.09922424703836441,
-0.014943405985832214,
-0.011570791713893414,
-0.07175207138061523,
-0.03138405457139015,
0.008760125376284122,
0.08168710768222809,
0.00953784678131342,
0.02208981104195118,
-0.05197723209857941,
-0.044592276215553284,
-0.00517456978559494,
-0.03829376772046089,
0.00039766557165421546,
-0.01954491063952446,
-0.05456544831395149,
0.049473125487565994,
-0.01758275181055069,
0.006358850281685591,
-0.03599414974451065,
0.013003319501876831,
-0.049665115773677826,
0.0037846348714083433,
-0.035700902342796326,
-0.030092867091298103,
-0.03372189402580261,
-0.01604302041232586,
0.040752556174993515,
-0.010121751576662064,
0.006446866784244776,
-0.09963317215442657,
-0.01779259741306305,
-0.0432569645345211,
-0.06809869408607483,
0.027468649670481682,
-0.01943088322877884,
-0.1198289543390274,
-0.018545614555478096,
0.013444798067212105,
0.05308583006262779,
0.07100789994001389,
-0.05336413159966469,
0.04251047968864441,
-0.0007264151354320347,
0.02037612907588482,
0.07251805067062378,
-0.02614034339785576,
0.09811832010746002,
-0.04863778501749039,
-0.038117967545986176,
-0.01721852272748947,
0.018419314175844193,
0.019494162872433662,
-0.11077752709388733,
0.03154537454247475,
0.015606308355927467,
0.03835149481892586,
0.014792664907872677,
0.03136463090777397,
0.018605943769216537,
0.026302320882678032,
0.025575906038284302,
-0.022231033071875572,
0.018072009086608887,
-0.030837953090667725,
0.070622518658638,
-0.04879148304462433,
-0.004308576229959726,
-0.01831798069179058,
0.03127581626176834,
0.010811492800712585,
0.01401692908257246,
0.024473153054714203,
-0.04355735331773758,
-0.0006093372940085828,
0.03670414537191391,
-0.030814912170171738,
0.03813227266073227,
-0.03541256859898567,
0.04990079626441002,
0.09078601747751236,
0.01852794922888279,
0.07725164294242859,
9.610140992692967e-35,
0.03306417539715767,
0.10677434504032135,
-0.05831918120384216,
0.0825326144695282,
0.0400589257478714,
-0.06326860934495926,
-0.009188984520733356,
0.011593751609325409,
0.049571674317121506,
-0.030410615727305412,
-0.03984232619404793,
-0.051982708275318146,
0.011595329269766808,
0.009791722521185875,
-0.029842272400856018,
-0.041772518306970596,
0.014828799292445183,
-0.08553634583950043,
-0.02083437331020832,
-0.012092511169612408,
-0.06616866588592529,
0.014805364422500134,
0.0005339412018656731,
-0.03604201599955559,
0.07570729404687881,
0.0518784373998642,
-0.02872540056705475,
0.05589871481060982,
0.007742560002952814,
0.07632602006196976,
0.006590297445654869,
-0.04853313788771629,
0.03990049287676811,
-0.06927875429391861,
0.022547848522663116,
-0.05011450871825218,
0.089136503636837,
0.09822618961334229,
-0.014119580388069153,
0.10790569335222244,
0.08366601914167404,
-0.06489462405443192,
-0.023873187601566315,
0.011821183376014233,
0.08917219936847687,
0.024033138528466225,
0.0006698892102576792,
-0.051163531839847565,
-0.06083410605788231,
-0.026118936017155647,
0.012984042055904865,
0.01346883736550808,
0.004746295046061277,
0.056798435747623444,
0.07554347813129425,
-0.026053566485643387,
0.04942232742905617,
0.04581216350197792,
0.052451666444540024,
0.014090373180806637,
0.07939422130584717,
-0.03853016719222069,
-0.023817623034119606,
0.006596472579985857,
0.06300897896289825,
-0.013723155483603477,
0.0697690024971962,
-0.019016241654753685,
0.0475856214761734,
0.04894377663731575,
0.022703854367136955,
-0.028283482417464256,
0.050229184329509735,
0.021135341376066208,
0.09187844395637512,
0.037749309092760086,
0.02074936404824257,
0.039032191038131714,
-0.022929614409804344,
0.030946878716349602,
-0.11074397712945938,
0.06268888711929321,
0.005129953380674124,
-0.011820838786661625,
-0.013741854578256607,
-0.032375212758779526,
0.06471116095781326,
-0.032396722584962845,
-0.024069126695394516,
-0.04290582984685898,
-0.04260767623782158,
0.05796856805682182,
-0.04627446085214615,
0.01839437521994114,
-0.0424870103597641,
-4.3913310321386234e-8,
0.0025635305792093277,
-0.0464031808078289,
-0.06617411971092224,
0.004227304365485907,
-0.06930292397737503,
0.04691839963197708,
-0.04229893162846565,
-0.0896625965833664,
0.09951024502515793,
0.016093602403998375,
0.0010188418673351407,
-0.022259075194597244,
-0.004112934693694115,
-0.05054343864321709,
0.04700056463479996,
0.01863006502389908,
-0.0497247576713562,
-0.016420377418398857,
0.017373794689774513,
0.11538360267877579,
0.03778038173913956,
0.048141878098249435,
0.02275530807673931,
-0.11614986509084702,
-0.038170378655195236,
0.07839938253164291,
0.05549384281039238,
-0.0138046033680439,
-0.001170008210465312,
-0.04019307717680931,
0.008232584223151207,
0.051779694855213165,
0.0422954186797142,
-0.08203165978193283,
0.01996271312236786,
-0.0015733077889308333,
-0.02966306544840336,
-0.04925290122628212,
0.021705573424696922,
0.11079172044992447,
0.060352399945259094,
0.03469559922814369,
-0.016933197155594826,
-0.056712038815021515,
0.07879208028316498,
0.04387021064758301,
0.008423608727753162,
0.04380761459469795,
0.01278349943459034,
0.024052228778600693,
-0.011271530762314796,
0.00005963565854472108,
-0.04807225614786148,
-0.016257815062999725,
0.06838852167129517,
-0.17036452889442444,
0.10899009555578232,
-0.09576431661844254,
0.008292898535728455,
-0.013293150812387466,
0.04310153052210808,
0.08885165303945541,
0.009037790820002556,
-0.0073396735824644566
] | null | null | null | null | null | null | null |
[
0.008270972408354282,
-0.07868865132331848,
-0.01714763045310974,
-0.05171946436166763,
-0.006083575543016195,
0.03775794059038162,
-0.012097030878067017,
0.012482808902859688,
0.09378287941217422,
0.10834997147321701,
0.020287511870265007,
0.017382660880684853,
0.08062744140625,
-0.013348234817385674,
-0.02309018187224865,
-0.025180494412779808,
0.10661526024341583,
0.048485785722732544,
-0.11501520872116089,
-0.0484032966196537,
0.05283002555370331,
-0.03446328639984131,
0.003228402230888605,
0.004623353946954012,
0.01315330807119608,
-0.02181091718375683,
-0.03839457407593727,
0.007448446471244097,
0.05325360968708992,
-0.003359418362379074,
-0.02621893770992756,
-0.12085401266813278,
-0.013620378449559212,
-0.003497786121442914,
-0.05969893932342529,
-0.08141598850488663,
0.013159801252186298,
-0.08577298372983932,
-0.03838236257433891,
0.027607230469584465,
0.04401833191514015,
0.06040995568037033,
-0.008703864179551601,
-0.011887738481163979,
-0.06478223204612732,
0.08145409822463989,
-0.0008669810486026108,
0.03143851459026337,
-0.06807031482458115,
-0.07898852974176407,
0.062027622014284134,
-0.004711268935352564,
-0.012620070017874241,
0.020906735211610794,
-0.00822418462485075,
-0.042666979134082794,
-0.07835112512111664,
0.04956936836242676,
0.017828073352575302,
0.019719954580068588,
-0.08922944962978363,
-0.01786835864186287,
0.02917080745100975,
0.026215894147753716,
0.04111955687403679,
0.012359619140625,
0.038612574338912964,
0.023541107773780823,
-0.0553223080933094,
-0.07278966903686523,
-0.08814960718154907,
0.0014778474578633904,
0.013883274979889393,
0.012334366329014301,
-0.05762048438191414,
-0.038114115595817566,
0.043766386806964874,
0.05544111877679825,
-0.04578769579529762,
0.04376188665628433,
0.08226998895406723,
0.018733752891421318,
-0.013704091310501099,
-0.024967404082417488,
-0.002110460540279746,
-0.04181196540594101,
0.008251162245869637,
0.047696709632873535,
-0.01659909263253212,
0.002276767510920763,
-0.036310825496912,
0.17359620332717896,
0.04723479226231575,
0.04281607270240784,
-0.03892863169312477,
0.018304117023944855,
-0.005602128803730011,
-0.038336381316185,
-0.0037810076028108597,
0.05174219235777855,
0.018289417028427124,
-0.039519064128398895,
0.06263703107833862,
-0.031874511390924454,
0.09191259741783142,
-0.007883419282734394,
0.02728787623345852,
0.12764732539653778,
0.029880056157708168,
0.06632816046476364,
-0.061494264751672745,
-0.020930878818035126,
-0.027545632794499397,
-0.0035181830171495676,
-0.05005493760108948,
0.14834915101528168,
0.025698615238070488,
-0.04769325628876686,
-0.019730912521481514,
-0.05064187943935394,
-0.027128132060170174,
-0.13609275221824646,
-0.017777185887098312,
-0.027902361005544662,
0.06623045355081558,
0.0214440505951643,
0.024989061057567596,
1.303741886522953e-33,
-0.11047878861427307,
-0.010975655168294907,
-0.12137758731842041,
-0.0467684231698513,
-0.022782430052757263,
0.037562914192676544,
0.05072159692645073,
0.04352906718850136,
-0.028942300006747246,
-0.08090640604496002,
0.021565420553088188,
-0.06760837137699127,
-0.09922424703836441,
-0.014943405985832214,
-0.011570791713893414,
-0.07175207138061523,
-0.03138405457139015,
0.008760125376284122,
0.08168710768222809,
0.00953784678131342,
0.02208981104195118,
-0.05197723209857941,
-0.044592276215553284,
-0.00517456978559494,
-0.03829376772046089,
0.00039766557165421546,
-0.01954491063952446,
-0.05456544831395149,
0.049473125487565994,
-0.01758275181055069,
0.006358850281685591,
-0.03599414974451065,
0.013003319501876831,
-0.049665115773677826,
0.0037846348714083433,
-0.035700902342796326,
-0.030092867091298103,
-0.03372189402580261,
-0.01604302041232586,
0.040752556174993515,
-0.010121751576662064,
0.006446866784244776,
-0.09963317215442657,
-0.01779259741306305,
-0.0432569645345211,
-0.06809869408607483,
0.027468649670481682,
-0.01943088322877884,
-0.1198289543390274,
-0.018545614555478096,
0.013444798067212105,
0.05308583006262779,
0.07100789994001389,
-0.05336413159966469,
0.04251047968864441,
-0.0007264151354320347,
0.02037612907588482,
0.07251805067062378,
-0.02614034339785576,
0.09811832010746002,
-0.04863778501749039,
-0.038117967545986176,
-0.01721852272748947,
0.018419314175844193,
0.019494162872433662,
-0.11077752709388733,
0.03154537454247475,
0.015606308355927467,
0.03835149481892586,
0.014792664907872677,
0.03136463090777397,
0.018605943769216537,
0.026302320882678032,
0.025575906038284302,
-0.022231033071875572,
0.018072009086608887,
-0.030837953090667725,
0.070622518658638,
-0.04879148304462433,
-0.004308576229959726,
-0.01831798069179058,
0.03127581626176834,
0.010811492800712585,
0.01401692908257246,
0.024473153054714203,
-0.04355735331773758,
-0.0006093372940085828,
0.03670414537191391,
-0.030814912170171738,
0.03813227266073227,
-0.03541256859898567,
0.04990079626441002,
0.09078601747751236,
0.01852794922888279,
0.07725164294242859,
9.610140992692967e-35,
0.03306417539715767,
0.10677434504032135,
-0.05831918120384216,
0.0825326144695282,
0.0400589257478714,
-0.06326860934495926,
-0.009188984520733356,
0.011593751609325409,
0.049571674317121506,
-0.030410615727305412,
-0.03984232619404793,
-0.051982708275318146,
0.011595329269766808,
0.009791722521185875,
-0.029842272400856018,
-0.041772518306970596,
0.014828799292445183,
-0.08553634583950043,
-0.02083437331020832,
-0.012092511169612408,
-0.06616866588592529,
0.014805364422500134,
0.0005339412018656731,
-0.03604201599955559,
0.07570729404687881,
0.0518784373998642,
-0.02872540056705475,
0.05589871481060982,
0.007742560002952814,
0.07632602006196976,
0.006590297445654869,
-0.04853313788771629,
0.03990049287676811,
-0.06927875429391861,
0.022547848522663116,
-0.05011450871825218,
0.089136503636837,
0.09822618961334229,
-0.014119580388069153,
0.10790569335222244,
0.08366601914167404,
-0.06489462405443192,
-0.023873187601566315,
0.011821183376014233,
0.08917219936847687,
0.024033138528466225,
0.0006698892102576792,
-0.051163531839847565,
-0.06083410605788231,
-0.026118936017155647,
0.012984042055904865,
0.01346883736550808,
0.004746295046061277,
0.056798435747623444,
0.07554347813129425,
-0.026053566485643387,
0.04942232742905617,
0.04581216350197792,
0.052451666444540024,
0.014090373180806637,
0.07939422130584717,
-0.03853016719222069,
-0.023817623034119606,
0.006596472579985857,
0.06300897896289825,
-0.013723155483603477,
0.0697690024971962,
-0.019016241654753685,
0.0475856214761734,
0.04894377663731575,
0.022703854367136955,
-0.028283482417464256,
0.050229184329509735,
0.021135341376066208,
0.09187844395637512,
0.037749309092760086,
0.02074936404824257,
0.039032191038131714,
-0.022929614409804344,
0.030946878716349602,
-0.11074397712945938,
0.06268888711929321,
0.005129953380674124,
-0.011820838786661625,
-0.013741854578256607,
-0.032375212758779526,
0.06471116095781326,
-0.032396722584962845,
-0.024069126695394516,
-0.04290582984685898,
-0.04260767623782158,
0.05796856805682182,
-0.04627446085214615,
0.01839437521994114,
-0.0424870103597641,
-4.3913310321386234e-8,
0.0025635305792093277,
-0.0464031808078289,
-0.06617411971092224,
0.004227304365485907,
-0.06930292397737503,
0.04691839963197708,
-0.04229893162846565,
-0.0896625965833664,
0.09951024502515793,
0.016093602403998375,
0.0010188418673351407,
-0.022259075194597244,
-0.004112934693694115,
-0.05054343864321709,
0.04700056463479996,
0.01863006502389908,
-0.0497247576713562,
-0.016420377418398857,
0.017373794689774513,
0.11538360267877579,
0.03778038173913956,
0.048141878098249435,
0.02275530807673931,
-0.11614986509084702,
-0.038170378655195236,
0.07839938253164291,
0.05549384281039238,
-0.0138046033680439,
-0.001170008210465312,
-0.04019307717680931,
0.008232584223151207,
0.051779694855213165,
0.0422954186797142,
-0.08203165978193283,
0.01996271312236786,
-0.0015733077889308333,
-0.02966306544840336,
-0.04925290122628212,
0.021705573424696922,
0.11079172044992447,
0.060352399945259094,
0.03469559922814369,
-0.016933197155594826,
-0.056712038815021515,
0.07879208028316498,
0.04387021064758301,
0.008423608727753162,
0.04380761459469795,
0.01278349943459034,
0.024052228778600693,
-0.011271530762314796,
0.00005963565854472108,
-0.04807225614786148,
-0.016257815062999725,
0.06838852167129517,
-0.17036452889442444,
0.10899009555578232,
-0.09576431661844254,
0.008292898535728455,
-0.013293150812387466,
0.04310153052210808,
0.08885165303945541,
0.009037790820002556,
-0.0073396735824644566
] |
1401.6362
|
Zhang Shengli
|
Shengli Zhang, Soung-Chang Liew and Jinyuan Chen
|
The Capacity of Known Interference Channel (updated)
|
10 pages
| null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we investigate the capacity of known interference channel,
where the receiver knows the interference data but not the channel gain of the
interference data. We first derive a tight upper bound for the capacity of this
known-interference channel. After that, we obtain an achievable rate of the
channel with a blind known interference cancellation (BKIC) scheme in closed
form. We prove that the aforementioned upper bound in the high SNR regime can
be approached by our achievable rate. Moreover, the achievable rate of our BKIC
scheme is much larger than that of the traditional interference cancellation
scheme. In particular, the achievable rate of BKIC continues to increase with
SNR in the high SNR regime (non-zero degree of freedom), while that of the
traditional scheme approaches a fixed bound that does not improve with SNR
(zero degree of freedom).
|
[
{
"created": "Fri, 24 Jan 2014 14:59:04 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2014 02:47:12 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Sep 2014 23:26:30 GMT",
"version": "v3"
}
] |
2014-09-15
|
[
[
"Zhang",
"Shengli",
""
],
[
"Liew",
"Soung-Chang",
""
],
[
"Chen",
"Jinyuan",
""
]
] |
[
0.009024261496961117,
0.030553437769412994,
-0.04336021840572357,
0.04745893180370331,
-0.002907013287767768,
0.010608733631670475,
0.0644746795296669,
-0.06335200369358063,
0.037878260016441345,
0.05597558245062828,
-0.057900283485651016,
0.0972677692770958,
0.05087548494338989,
-0.11037538200616837,
-0.01956173963844776,
-0.010927543975412846,
0.051182329654693604,
0.02639036625623703,
-0.06769147515296936,
0.0034698701929301023,
0.07435309141874313,
0.013712720945477486,
0.00821924488991499,
0.025592919439077377,
0.06011784076690674,
-0.08745819330215454,
0.050247546285390854,
0.0017645676853135228,
0.0013077649055048823,
-0.020374739542603493,
-0.03623342514038086,
0.02350393682718277,
0.008616643957793713,
-0.07135657221078873,
-0.03567558899521828,
-0.07657429575920105,
0.02885761298239231,
0.058984797447919846,
0.03418892249464989,
0.11101195961236954,
-0.042519375681877136,
0.05078751966357231,
-0.03286706656217575,
0.0037242828402668238,
-0.07980981469154358,
0.053390033543109894,
0.06630729883909225,
0.018888477236032486,
-0.00167127326130867,
-0.0751405656337738,
0.01637035794556141,
0.05363092198967934,
-0.03872361779212952,
0.05240646377205849,
0.02829146757721901,
-0.08280277997255325,
-0.10404072701931,
0.030222805216908455,
-0.07841075211763382,
0.14334902167320251,
-0.02816120721399784,
0.02336067147552967,
-0.02830779366195202,
-0.007255902048200369,
-0.051251523196697235,
0.05320807546377182,
0.020466838032007217,
0.08981288224458694,
-0.010922733694314957,
0.012256422080099583,
-0.040836311876773834,
-0.021656235679984093,
-0.02331523597240448,
-0.001751980627886951,
0.07861156016588211,
-0.0037399791181087494,
0.015655014663934708,
0.027244871482253075,
0.07902764528989792,
0.06007193401455879,
0.013592158444225788,
-0.05847202241420746,
-0.03543221950531006,
-0.06999959796667099,
0.03445688262581825,
0.005965688265860081,
-0.03000663034617901,
-0.014329170808196068,
0.05940466374158859,
0.03874293714761734,
-0.12898865342140198,
-0.07645420730113983,
-0.016537049785256386,
0.043444324284791946,
0.003097912995144725,
-0.012783633545041084,
0.03972829878330231,
-0.027416549623012543,
-0.018862612545490265,
0.03679763153195381,
0.04454735293984413,
-0.019930601119995117,
-0.018564190715551376,
-0.038504719734191895,
-0.0236535482108593,
0.022064097225666046,
0.0564069040119648,
0.05976534262299538,
-0.0020679498557001352,
0.059399332851171494,
0.018119340762495995,
0.07335895299911499,
-0.037413354963064194,
0.02564120478928089,
-0.007571211084723473,
0.1105736643075943,
0.07064711302518845,
0.04852484166622162,
0.01527866255491972,
-0.07029860466718674,
-0.00984305888414383,
-0.09418901801109314,
0.06831612437963486,
0.021471867337822914,
-0.010814518667757511,
0.0022471738047897816,
-0.045007552951574326,
1.4529220378758863e-33,
-0.03517873212695122,
0.03077242523431778,
-0.03532281890511513,
0.0064180148765444756,
-0.0027038450352847576,
0.04296555370092392,
-0.021189110353589058,
0.0002324658416910097,
-0.006592737976461649,
0.13372661173343658,
-0.04104244336485863,
-0.042792774736881256,
-0.0307930801063776,
-0.0527203306555748,
0.02106444351375103,
0.03545553609728813,
-0.048425205051898956,
0.010286292992532253,
0.031354181468486786,
-0.03616226837038994,
0.09349636733531952,
-0.03675328195095062,
-0.041464533656835556,
-0.0273220743983984,
0.02666058950126171,
-0.041614752262830734,
-0.033816248178482056,
-0.07778336852788925,
0.07660788297653198,
0.02413092739880085,
-0.0640006735920906,
0.051399506628513336,
0.13515084981918335,
0.00533945020288229,
0.022106116637587547,
-0.04558507725596428,
-0.06084447354078293,
-0.037035904824733734,
-0.014427571557462215,
0.016735311597585678,
0.0025580201763659716,
0.02219628542661667,
-0.01020234264433384,
-0.09575795382261276,
0.0018781751859933138,
-0.10250258445739746,
-0.03195858374238014,
-0.010276570916175842,
-0.041563037782907486,
-0.00019348334171809256,
0.004822717048227787,
0.0659448429942131,
-0.10228358209133148,
0.06336018443107605,
0.08438766002655029,
-0.03625445067882538,
0.00782724842429161,
0.04843169450759888,
0.01162714697420597,
0.12123996764421463,
-0.014757396653294563,
-0.005897372029721737,
0.05277631804347038,
0.01143299974501133,
0.006880892440676689,
0.05364134535193443,
-0.050499171018600464,
-0.03346094489097595,
-0.036409877240657806,
-0.08338824659585953,
-0.012169171124696732,
-0.011890034191310406,
-0.006235041189938784,
-0.045397207140922546,
-0.052305202931165695,
-0.06139107421040535,
0.0013130531879141927,
-0.036125946789979935,
0.1263207346200943,
0.05512296035885811,
0.03364984691143036,
-0.05874692648649216,
-0.06076940894126892,
0.03514482080936432,
-0.05527631938457489,
0.01688353717327118,
-0.04424530267715454,
0.06174672767519951,
-0.06232479214668274,
-0.01841587759554386,
-0.09706731140613556,
0.059541866183280945,
-0.06602738052606583,
-0.06982502341270447,
0.021521233022212982,
-2.9252450589991175e-33,
0.005929457489401102,
0.04091275483369827,
0.033307384699583054,
0.020859569311141968,
-0.009095384739339352,
-0.06059091538190842,
-0.005331518594175577,
-0.01311773993074894,
0.01816156506538391,
-0.034021276980638504,
0.011352622881531715,
-0.0631786361336708,
-0.03421572223305702,
0.02177507057785988,
0.021770576015114784,
-0.049309611320495605,
0.005044690798968077,
0.08682365715503693,
-0.06695011258125305,
0.0190275926142931,
0.030384249985218048,
-0.011239411309361458,
0.037477631121873856,
0.0038360292091965675,
0.055689629167318344,
-0.030247293412685394,
-0.14375761151313782,
0.1546383947134018,
0.027136776596307755,
-0.018540816381573677,
0.025869619101285934,
-0.07649412751197815,
-0.013435745611786842,
-0.08228933811187744,
0.009897449985146523,
-0.03677244484424591,
0.025607800111174583,
0.09511742740869522,
-0.03800366446375847,
0.008061623200774193,
0.11893227696418762,
-0.01700054109096527,
-0.028797579929232597,
0.0013526765396818519,
0.08880431950092316,
-0.05731327831745148,
-0.03432413935661316,
0.03428192064166069,
0.055335450917482376,
-0.10118304193019867,
0.07603389769792557,
-0.04780881479382515,
0.059356190264225006,
0.03428877890110016,
0.04189852252602577,
0.0070312609896063805,
0.07216155529022217,
0.08509957045316696,
0.047902919352054596,
0.007651900872588158,
0.03986402601003647,
-0.041797902435064316,
-0.05520837754011154,
0.040038347244262695,
0.1068277657032013,
0.0279198307543993,
0.004408827517181635,
0.017714597284793854,
0.026065759360790253,
0.02748825214803219,
0.005656267050653696,
0.0020534254144877195,
-0.09126751869916916,
0.017253540456295013,
0.06988425552845001,
0.0992274284362793,
-0.03165442496538162,
-0.02101299911737442,
-0.011078355833888054,
0.053077761083841324,
-0.03555035963654518,
0.06852373480796814,
-0.04768490418791771,
-0.03935420140624046,
0.02416986972093582,
0.04034550115466118,
0.04536757245659828,
-0.05377532169222832,
0.0007206906448118389,
-0.09139182418584824,
-0.057579558342695236,
0.08084750920534134,
-0.08752463012933731,
-0.006711937952786684,
-0.013891945593059063,
-4.868996228424294e-8,
-0.03534061834216118,
-0.06596639752388,
-0.06785599142313004,
-0.01897883415222168,
0.04750955104827881,
-0.05361529812216759,
-0.032629597932100296,
-0.058575987815856934,
-0.046025242656469345,
-0.08984707295894623,
0.032164547592401505,
0.079994797706604,
-0.025285644456744194,
0.06671226769685745,
0.015816036611795425,
-0.05615684762597084,
-0.06387051939964294,
-0.043465692549943924,
0.021106038242578506,
0.019178500398993492,
0.02106664329767227,
-0.06588200479745865,
0.026237936690449715,
-0.0335802361369133,
-0.005144490860402584,
-0.02238795906305313,
0.017963582649827003,
0.028739741072058678,
-0.00923117808997631,
-0.009651430882513523,
0.0017766231903806329,
-0.057322677224874496,
0.019814247265458107,
0.06182673200964928,
-0.060805730521678925,
0.02716369926929474,
-0.04543337598443031,
-0.004740782547742128,
-0.031149890273809433,
0.012643982656300068,
-0.02126798965036869,
-0.03457823395729065,
0.017921434715390205,
0.04853556305170059,
0.05199456214904785,
0.03647169843316078,
0.06108393147587776,
0.024287274107336998,
-0.04914093762636185,
-0.05814943090081215,
-0.0032245160546153784,
0.10790178924798965,
0.016987349838018417,
-0.08706924319267273,
-0.003644097363576293,
-0.018739691004157066,
0.04344968497753143,
-0.059405140578746796,
-0.007555501069873571,
-0.016242997720837593,
-0.049578312784433365,
0.057764265686273575,
-0.09534239768981934,
0.02738853171467781
] | null | null | null | null | null | null | null |
[
0.009024261496961117,
0.030553437769412994,
-0.04336021840572357,
0.04745893180370331,
-0.002907013287767768,
0.010608733631670475,
0.0644746795296669,
-0.06335200369358063,
0.037878260016441345,
0.05597558245062828,
-0.057900283485651016,
0.0972677692770958,
0.05087548494338989,
-0.11037538200616837,
-0.01956173963844776,
-0.010927543975412846,
0.051182329654693604,
0.02639036625623703,
-0.06769147515296936,
0.0034698701929301023,
0.07435309141874313,
0.013712720945477486,
0.00821924488991499,
0.025592919439077377,
0.06011784076690674,
-0.08745819330215454,
0.050247546285390854,
0.0017645676853135228,
0.0013077649055048823,
-0.020374739542603493,
-0.03623342514038086,
0.02350393682718277,
0.008616643957793713,
-0.07135657221078873,
-0.03567558899521828,
-0.07657429575920105,
0.02885761298239231,
0.058984797447919846,
0.03418892249464989,
0.11101195961236954,
-0.042519375681877136,
0.05078751966357231,
-0.03286706656217575,
0.0037242828402668238,
-0.07980981469154358,
0.053390033543109894,
0.06630729883909225,
0.018888477236032486,
-0.00167127326130867,
-0.0751405656337738,
0.01637035794556141,
0.05363092198967934,
-0.03872361779212952,
0.05240646377205849,
0.02829146757721901,
-0.08280277997255325,
-0.10404072701931,
0.030222805216908455,
-0.07841075211763382,
0.14334902167320251,
-0.02816120721399784,
0.02336067147552967,
-0.02830779366195202,
-0.007255902048200369,
-0.051251523196697235,
0.05320807546377182,
0.020466838032007217,
0.08981288224458694,
-0.010922733694314957,
0.012256422080099583,
-0.040836311876773834,
-0.021656235679984093,
-0.02331523597240448,
-0.001751980627886951,
0.07861156016588211,
-0.0037399791181087494,
0.015655014663934708,
0.027244871482253075,
0.07902764528989792,
0.06007193401455879,
0.013592158444225788,
-0.05847202241420746,
-0.03543221950531006,
-0.06999959796667099,
0.03445688262581825,
0.005965688265860081,
-0.03000663034617901,
-0.014329170808196068,
0.05940466374158859,
0.03874293714761734,
-0.12898865342140198,
-0.07645420730113983,
-0.016537049785256386,
0.043444324284791946,
0.003097912995144725,
-0.012783633545041084,
0.03972829878330231,
-0.027416549623012543,
-0.018862612545490265,
0.03679763153195381,
0.04454735293984413,
-0.019930601119995117,
-0.018564190715551376,
-0.038504719734191895,
-0.0236535482108593,
0.022064097225666046,
0.0564069040119648,
0.05976534262299538,
-0.0020679498557001352,
0.059399332851171494,
0.018119340762495995,
0.07335895299911499,
-0.037413354963064194,
0.02564120478928089,
-0.007571211084723473,
0.1105736643075943,
0.07064711302518845,
0.04852484166622162,
0.01527866255491972,
-0.07029860466718674,
-0.00984305888414383,
-0.09418901801109314,
0.06831612437963486,
0.021471867337822914,
-0.010814518667757511,
0.0022471738047897816,
-0.045007552951574326,
1.4529220378758863e-33,
-0.03517873212695122,
0.03077242523431778,
-0.03532281890511513,
0.0064180148765444756,
-0.0027038450352847576,
0.04296555370092392,
-0.021189110353589058,
0.0002324658416910097,
-0.006592737976461649,
0.13372661173343658,
-0.04104244336485863,
-0.042792774736881256,
-0.0307930801063776,
-0.0527203306555748,
0.02106444351375103,
0.03545553609728813,
-0.048425205051898956,
0.010286292992532253,
0.031354181468486786,
-0.03616226837038994,
0.09349636733531952,
-0.03675328195095062,
-0.041464533656835556,
-0.0273220743983984,
0.02666058950126171,
-0.041614752262830734,
-0.033816248178482056,
-0.07778336852788925,
0.07660788297653198,
0.02413092739880085,
-0.0640006735920906,
0.051399506628513336,
0.13515084981918335,
0.00533945020288229,
0.022106116637587547,
-0.04558507725596428,
-0.06084447354078293,
-0.037035904824733734,
-0.014427571557462215,
0.016735311597585678,
0.0025580201763659716,
0.02219628542661667,
-0.01020234264433384,
-0.09575795382261276,
0.0018781751859933138,
-0.10250258445739746,
-0.03195858374238014,
-0.010276570916175842,
-0.041563037782907486,
-0.00019348334171809256,
0.004822717048227787,
0.0659448429942131,
-0.10228358209133148,
0.06336018443107605,
0.08438766002655029,
-0.03625445067882538,
0.00782724842429161,
0.04843169450759888,
0.01162714697420597,
0.12123996764421463,
-0.014757396653294563,
-0.005897372029721737,
0.05277631804347038,
0.01143299974501133,
0.006880892440676689,
0.05364134535193443,
-0.050499171018600464,
-0.03346094489097595,
-0.036409877240657806,
-0.08338824659585953,
-0.012169171124696732,
-0.011890034191310406,
-0.006235041189938784,
-0.045397207140922546,
-0.052305202931165695,
-0.06139107421040535,
0.0013130531879141927,
-0.036125946789979935,
0.1263207346200943,
0.05512296035885811,
0.03364984691143036,
-0.05874692648649216,
-0.06076940894126892,
0.03514482080936432,
-0.05527631938457489,
0.01688353717327118,
-0.04424530267715454,
0.06174672767519951,
-0.06232479214668274,
-0.01841587759554386,
-0.09706731140613556,
0.059541866183280945,
-0.06602738052606583,
-0.06982502341270447,
0.021521233022212982,
-2.9252450589991175e-33,
0.005929457489401102,
0.04091275483369827,
0.033307384699583054,
0.020859569311141968,
-0.009095384739339352,
-0.06059091538190842,
-0.005331518594175577,
-0.01311773993074894,
0.01816156506538391,
-0.034021276980638504,
0.011352622881531715,
-0.0631786361336708,
-0.03421572223305702,
0.02177507057785988,
0.021770576015114784,
-0.049309611320495605,
0.005044690798968077,
0.08682365715503693,
-0.06695011258125305,
0.0190275926142931,
0.030384249985218048,
-0.011239411309361458,
0.037477631121873856,
0.0038360292091965675,
0.055689629167318344,
-0.030247293412685394,
-0.14375761151313782,
0.1546383947134018,
0.027136776596307755,
-0.018540816381573677,
0.025869619101285934,
-0.07649412751197815,
-0.013435745611786842,
-0.08228933811187744,
0.009897449985146523,
-0.03677244484424591,
0.025607800111174583,
0.09511742740869522,
-0.03800366446375847,
0.008061623200774193,
0.11893227696418762,
-0.01700054109096527,
-0.028797579929232597,
0.0013526765396818519,
0.08880431950092316,
-0.05731327831745148,
-0.03432413935661316,
0.03428192064166069,
0.055335450917482376,
-0.10118304193019867,
0.07603389769792557,
-0.04780881479382515,
0.059356190264225006,
0.03428877890110016,
0.04189852252602577,
0.0070312609896063805,
0.07216155529022217,
0.08509957045316696,
0.047902919352054596,
0.007651900872588158,
0.03986402601003647,
-0.041797902435064316,
-0.05520837754011154,
0.040038347244262695,
0.1068277657032013,
0.0279198307543993,
0.004408827517181635,
0.017714597284793854,
0.026065759360790253,
0.02748825214803219,
0.005656267050653696,
0.0020534254144877195,
-0.09126751869916916,
0.017253540456295013,
0.06988425552845001,
0.0992274284362793,
-0.03165442496538162,
-0.02101299911737442,
-0.011078355833888054,
0.053077761083841324,
-0.03555035963654518,
0.06852373480796814,
-0.04768490418791771,
-0.03935420140624046,
0.02416986972093582,
0.04034550115466118,
0.04536757245659828,
-0.05377532169222832,
0.0007206906448118389,
-0.09139182418584824,
-0.057579558342695236,
0.08084750920534134,
-0.08752463012933731,
-0.006711937952786684,
-0.013891945593059063,
-4.868996228424294e-8,
-0.03534061834216118,
-0.06596639752388,
-0.06785599142313004,
-0.01897883415222168,
0.04750955104827881,
-0.05361529812216759,
-0.032629597932100296,
-0.058575987815856934,
-0.046025242656469345,
-0.08984707295894623,
0.032164547592401505,
0.079994797706604,
-0.025285644456744194,
0.06671226769685745,
0.015816036611795425,
-0.05615684762597084,
-0.06387051939964294,
-0.043465692549943924,
0.021106038242578506,
0.019178500398993492,
0.02106664329767227,
-0.06588200479745865,
0.026237936690449715,
-0.0335802361369133,
-0.005144490860402584,
-0.02238795906305313,
0.017963582649827003,
0.028739741072058678,
-0.00923117808997631,
-0.009651430882513523,
0.0017766231903806329,
-0.057322677224874496,
0.019814247265458107,
0.06182673200964928,
-0.060805730521678925,
0.02716369926929474,
-0.04543337598443031,
-0.004740782547742128,
-0.031149890273809433,
0.012643982656300068,
-0.02126798965036869,
-0.03457823395729065,
0.017921434715390205,
0.04853556305170059,
0.05199456214904785,
0.03647169843316078,
0.06108393147587776,
0.024287274107336998,
-0.04914093762636185,
-0.05814943090081215,
-0.0032245160546153784,
0.10790178924798965,
0.016987349838018417,
-0.08706924319267273,
-0.003644097363576293,
-0.018739691004157066,
0.04344968497753143,
-0.059405140578746796,
-0.007555501069873571,
-0.016242997720837593,
-0.049578312784433365,
0.057764265686273575,
-0.09534239768981934,
0.02738853171467781
] |
1401.6363
|
Xin Li
|
Xin Li and Zhe Chang
|
Exact solution of vacuum field equation in Finsler spacetime
|
25 pages
| null |
10.1103/PhysRevD.90.064049
| null |
physics.gen-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We suggest that the vacuum field equation in Finsler spacetime is equivalent
to vanishing of Ricci scalar. Schwarzschild metric can be deduced from a
solution of our field equation if the spacetime preserve spherical symmetry.
Supposing spacetime to preserve the symmetry of "Finslerian sphere", we find a
non-Riemannian exact solution of the Finslerian vacuum field equation. The
solution is similar to the Schwarzschild metric. It reduces to Schwarzschild
metric while the Finslerian parameter $\epsilon$ vanishes. It is proved that
the Finslerian covariant derivative of the geometrical part of the
gravitational field equation is conserved. The interior solution is also given.
We get solutions of geodesic equation in such a Schwarzschild-like spacetime,
and show that the geodesic equation returns to the counterpart in Newton's
gravity at weak field approximation. The celestial observations give constraint
on the Finslerian parameter $\epsilon<10^{-4}$. And the recent Michelson-Morley
experiment requires $\epsilon<10^{-16}$. The counterpart of Birkhoff's theorem
exist in Finslerian vacuum. It shows that the Finslerian gravitational field
with the symmetry of "Finslerian sphere" in vacuum must be static.
|
[
{
"created": "Thu, 23 Jan 2014 14:28:06 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2018 15:45:51 GMT",
"version": "v2"
}
] |
2018-05-11
|
[
[
"Li",
"Xin",
""
],
[
"Chang",
"Zhe",
""
]
] |
[
-0.06594163179397583,
0.0240126084536314,
0.05843036621809006,
-0.010355128906667233,
0.043113432824611664,
-0.015653541311621666,
0.05280289798974991,
0.030992118641734123,
0.07881953567266464,
-0.034987885504961014,
0.01111661083996296,
-0.009644445031881332,
-0.09044631570577621,
0.04143822193145752,
0.011457185260951519,
-0.07153185456991196,
0.00788943562656641,
0.031464241445064545,
-0.06073828786611557,
0.0026643117889761925,
-0.026751894503831863,
0.005537619348615408,
-0.007511036470532417,
0.10585875809192657,
-0.12116570770740509,
-0.07863029837608337,
0.0686807855963707,
-0.041090451180934906,
-0.04792090877890587,
0.024989286437630653,
-0.02159760892391205,
-0.030720273032784462,
-0.08629690110683441,
-0.04719105735421181,
-0.02824164368212223,
0.0896964743733406,
0.06666038185358047,
-0.008438972756266594,
-0.0193993728607893,
0.022470325231552124,
-0.04774870350956917,
-0.037369828671216965,
0.022946475073695183,
0.08614609390497208,
0.0033996414858847857,
-0.03018016740679741,
0.015024344436824322,
0.0026165111921727657,
0.044269416481256485,
0.0398886576294899,
-0.049800626933574677,
0.03445480763912201,
-0.022002356126904488,
-0.08967992663383484,
0.05956050008535385,
-0.010983825661242008,
-0.09775404632091522,
-0.06267865002155304,
-0.00033993658144026995,
-0.07841463387012482,
0.06531894952058792,
-0.018475987017154694,
-0.01447154488414526,
-0.009104028344154358,
-0.06543193757534027,
0.008506291545927525,
0.00716862129047513,
-0.07835038006305695,
0.02806447446346283,
0.0469684861600399,
-0.028912588953971863,
-0.04133084788918495,
-0.0905759260058403,
-0.07744675129652023,
-0.04746032878756523,
0.06309673190116882,
0.04425261169672012,
0.04981786012649536,
0.03367020562291145,
-0.02189120464026928,
0.05524430796504021,
-0.019619623199105263,
-0.05609952658414841,
0.012656751088798046,
-0.051336709409952164,
-0.016924366354942322,
0.05020082741975784,
0.008529957383871078,
0.0517754852771759,
-0.045183081179857254,
0.02043980360031128,
-0.03304923325777054,
-0.033412083983421326,
-0.11950384825468063,
0.04042984917759895,
-0.04323670640587807,
-0.03656206279993057,
0.05028931796550751,
0.0661877766251564,
0.04021083191037178,
-0.004582677967846394,
-0.08023220300674438,
0.00611521489918232,
0.1121525764465332,
0.04720230773091316,
0.047434642910957336,
0.014500991441309452,
0.004797135014086962,
-0.014412004500627518,
-0.001974723068997264,
-0.00904701929539442,
0.08099702000617981,
0.01156548410654068,
-0.004519671201705933,
-0.030267953872680664,
0.042092930525541306,
0.03925999999046326,
0.04551035910844803,
0.032542210072278976,
0.12821297347545624,
0.016484390944242477,
0.022755011916160583,
0.037952832877635956,
0.02072284370660782,
0.02158203348517418,
0.10564961284399033,
0.042391277849674225,
4.1292934532998246e-33,
0.05850750952959061,
-0.0013105280231684446,
0.025387631729245186,
-0.054493293166160583,
0.020304866135120392,
0.0727463960647583,
0.053376853466033936,
0.15297292172908783,
-0.032991886138916016,
-0.018116045743227005,
-0.1038927361369133,
-0.021013859659433365,
0.0025817917194217443,
-0.02494649402797222,
0.014016462489962578,
0.06035912036895752,
-0.03407333791255951,
-0.015563023276627064,
0.023424461483955383,
-0.07333257794380188,
0.015121251344680786,
0.04409583657979965,
-0.02542065642774105,
-0.0037107563111931086,
-0.010761926881968975,
-0.026473451405763626,
-0.007708163931965828,
0.043996263295412064,
-0.05096902325749397,
-0.019341716542840004,
-0.006275754421949387,
-0.03728865832090378,
0.03678601607680321,
0.04711069539189339,
-0.01488820742815733,
0.03304678201675415,
0.019970383495092392,
0.035887084901332855,
-0.014880762435495853,
-0.02179938741028309,
-0.027537930756807327,
-0.014099442400038242,
-0.026468578726053238,
-0.022838227450847626,
0.00614221440628171,
-0.02935229055583477,
0.050465911626815796,
0.03713829815387726,
0.04253293201327324,
-0.020597107708454132,
0.03540661558508873,
0.07937569916248322,
-0.10731019079685211,
-0.05237390473484993,
-0.000998423551209271,
0.0060286615043878555,
-0.0414905808866024,
-0.039397694170475006,
-0.10087474435567856,
-0.004581733141094446,
0.0409356951713562,
0.04151775687932968,
0.03706946223974228,
-0.03277634084224701,
0.0043264576233923435,
-0.040580134838819504,
0.07923413068056107,
-0.06245450675487518,
-0.03269733861088753,
-0.05010240525007248,
-0.042159996926784515,
0.010456865653395653,
-0.06994690001010895,
0.05010548606514931,
-0.05639512836933136,
0.021159466356039047,
0.06026866286993027,
-0.05977712571620941,
0.01576201431453228,
-0.014326894655823708,
-0.04972830414772034,
0.0023845615796744823,
0.06318105012178421,
0.05819958448410034,
-0.03886520490050316,
0.044508662074804306,
0.0032383224461227655,
-0.04350298270583153,
0.03800670802593231,
-0.0744866356253624,
-0.08031868189573288,
0.01032999251037836,
-0.05802502483129501,
-0.03362109139561653,
-0.04487541317939758,
-6.174426606384102e-33,
0.021516818553209305,
-0.10514198988676071,
-0.06781213730573654,
0.06638236343860626,
-0.05950086936354637,
0.047645121812820435,
-0.012900158762931824,
0.06866893917322159,
-0.035686831921339035,
-0.17904473841190338,
-0.031402625143527985,
0.02884681336581707,
0.018808845430612564,
-0.015580658800899982,
-0.08036474138498306,
0.029692746698856354,
-0.00040056745638139546,
0.011482608504593372,
-0.1358828842639923,
-0.013070275075733662,
0.04249996691942215,
0.06761059165000916,
0.04379565641283989,
-0.036292318254709244,
-0.09016436338424683,
-0.054025549441576004,
0.09981538355350494,
0.044815145432949066,
-0.09310520440340042,
0.11448801308870316,
0.08073977380990982,
-0.020888060331344604,
0.028095562011003494,
0.0077641187235713005,
-0.04107457026839256,
0.021122153848409653,
0.012784799560904503,
0.012999230064451694,
-0.053922154009342194,
0.11033020913600922,
-0.06416288018226624,
0.05079337954521179,
0.02566111646592617,
-0.010084151290357113,
0.02389787696301937,
0.015258115716278553,
0.05160047486424446,
0.009440361522138119,
-0.06583420187234879,
-0.022587215527892113,
-0.027290694415569305,
-0.12022548913955688,
0.028745336458086967,
0.07704457640647888,
-0.11112863570451736,
0.0958980843424797,
0.02645944617688656,
-0.04117732122540474,
-0.0005363847594708204,
0.043965067714452744,
0.007920789532363415,
-0.03204691782593727,
0.08172758668661118,
0.006316561717540026,
0.06437397748231888,
0.005297416355460882,
-0.06539122015237808,
0.03301384672522545,
0.002037725644186139,
0.003717441111803055,
-0.04080440476536751,
-0.05874471366405487,
-0.046049658209085464,
0.08485964685678482,
0.039640191942453384,
0.14238092303276062,
0.08701629936695099,
-0.004079194273799658,
-0.010062222369015217,
-0.019591551274061203,
0.048912763595581055,
-0.00029274990083649755,
0.10257356613874435,
0.012413669377565384,
0.009355834685266018,
0.020827090367674828,
0.012792080640792847,
-0.02756999060511589,
0.05641365423798561,
0.029186531901359558,
-0.07971888780593872,
-0.05048532411456108,
0.003313124179840088,
0.027685081586241722,
-0.0059605990536510944,
-5.063889929601828e-8,
0.02619895525276661,
0.08757948130369186,
-0.07498441636562347,
0.06845240294933319,
-0.12181222438812256,
0.015119647607207298,
-0.05873192474246025,
-0.04875832423567772,
-0.03640026971697807,
-0.009401029907166958,
-0.047973234206438065,
0.027953000739216805,
-0.12323182821273804,
0.019244346767663956,
-0.038943883031606674,
0.05827779322862625,
0.023317478597164154,
0.040747445076704025,
-0.01385896559804678,
0.007257677149027586,
-0.014718740247189999,
0.025965562090277672,
0.04951004683971405,
-0.07024581730365753,
0.0379948727786541,
0.018636533990502357,
0.05383643880486488,
-0.008835463784635067,
0.05974705517292023,
0.05963888391852379,
0.028325682505965233,
-0.014516164548695087,
0.005046464037150145,
-0.014693345874547958,
-0.04509366303682327,
-0.01337597519159317,
-0.06597844511270523,
0.022888747975230217,
0.005906850099563599,
0.047123659402132034,
0.03786138445138931,
0.06138214096426964,
-0.08801311254501343,
-0.008883555419743061,
0.05258021876215935,
0.037863146513700485,
-0.019148843362927437,
-0.03974682465195656,
-0.07705152779817581,
0.05770524591207504,
0.021615341305732727,
0.03697371110320091,
-0.02541673183441162,
0.05816471949219704,
-0.009231199510395527,
-0.02265775576233864,
0.007434050086885691,
0.007561956997960806,
-0.06002722680568695,
-0.040616948157548904,
-0.0402555875480175,
0.05322890356183052,
-0.008738563396036625,
-0.043364692479372025
] | null | null | null | null | null | null | null |
[
-0.06594163179397583,
0.0240126084536314,
0.05843036621809006,
-0.010355128906667233,
0.043113432824611664,
-0.015653541311621666,
0.05280289798974991,
0.030992118641734123,
0.07881953567266464,
-0.034987885504961014,
0.01111661083996296,
-0.009644445031881332,
-0.09044631570577621,
0.04143822193145752,
0.011457185260951519,
-0.07153185456991196,
0.00788943562656641,
0.031464241445064545,
-0.06073828786611557,
0.0026643117889761925,
-0.026751894503831863,
0.005537619348615408,
-0.007511036470532417,
0.10585875809192657,
-0.12116570770740509,
-0.07863029837608337,
0.0686807855963707,
-0.041090451180934906,
-0.04792090877890587,
0.024989286437630653,
-0.02159760892391205,
-0.030720273032784462,
-0.08629690110683441,
-0.04719105735421181,
-0.02824164368212223,
0.0896964743733406,
0.06666038185358047,
-0.008438972756266594,
-0.0193993728607893,
0.022470325231552124,
-0.04774870350956917,
-0.037369828671216965,
0.022946475073695183,
0.08614609390497208,
0.0033996414858847857,
-0.03018016740679741,
0.015024344436824322,
0.0026165111921727657,
0.044269416481256485,
0.0398886576294899,
-0.049800626933574677,
0.03445480763912201,
-0.022002356126904488,
-0.08967992663383484,
0.05956050008535385,
-0.010983825661242008,
-0.09775404632091522,
-0.06267865002155304,
-0.00033993658144026995,
-0.07841463387012482,
0.06531894952058792,
-0.018475987017154694,
-0.01447154488414526,
-0.009104028344154358,
-0.06543193757534027,
0.008506291545927525,
0.00716862129047513,
-0.07835038006305695,
0.02806447446346283,
0.0469684861600399,
-0.028912588953971863,
-0.04133084788918495,
-0.0905759260058403,
-0.07744675129652023,
-0.04746032878756523,
0.06309673190116882,
0.04425261169672012,
0.04981786012649536,
0.03367020562291145,
-0.02189120464026928,
0.05524430796504021,
-0.019619623199105263,
-0.05609952658414841,
0.012656751088798046,
-0.051336709409952164,
-0.016924366354942322,
0.05020082741975784,
0.008529957383871078,
0.0517754852771759,
-0.045183081179857254,
0.02043980360031128,
-0.03304923325777054,
-0.033412083983421326,
-0.11950384825468063,
0.04042984917759895,
-0.04323670640587807,
-0.03656206279993057,
0.05028931796550751,
0.0661877766251564,
0.04021083191037178,
-0.004582677967846394,
-0.08023220300674438,
0.00611521489918232,
0.1121525764465332,
0.04720230773091316,
0.047434642910957336,
0.014500991441309452,
0.004797135014086962,
-0.014412004500627518,
-0.001974723068997264,
-0.00904701929539442,
0.08099702000617981,
0.01156548410654068,
-0.004519671201705933,
-0.030267953872680664,
0.042092930525541306,
0.03925999999046326,
0.04551035910844803,
0.032542210072278976,
0.12821297347545624,
0.016484390944242477,
0.022755011916160583,
0.037952832877635956,
0.02072284370660782,
0.02158203348517418,
0.10564961284399033,
0.042391277849674225,
4.1292934532998246e-33,
0.05850750952959061,
-0.0013105280231684446,
0.025387631729245186,
-0.054493293166160583,
0.020304866135120392,
0.0727463960647583,
0.053376853466033936,
0.15297292172908783,
-0.032991886138916016,
-0.018116045743227005,
-0.1038927361369133,
-0.021013859659433365,
0.0025817917194217443,
-0.02494649402797222,
0.014016462489962578,
0.06035912036895752,
-0.03407333791255951,
-0.015563023276627064,
0.023424461483955383,
-0.07333257794380188,
0.015121251344680786,
0.04409583657979965,
-0.02542065642774105,
-0.0037107563111931086,
-0.010761926881968975,
-0.026473451405763626,
-0.007708163931965828,
0.043996263295412064,
-0.05096902325749397,
-0.019341716542840004,
-0.006275754421949387,
-0.03728865832090378,
0.03678601607680321,
0.04711069539189339,
-0.01488820742815733,
0.03304678201675415,
0.019970383495092392,
0.035887084901332855,
-0.014880762435495853,
-0.02179938741028309,
-0.027537930756807327,
-0.014099442400038242,
-0.026468578726053238,
-0.022838227450847626,
0.00614221440628171,
-0.02935229055583477,
0.050465911626815796,
0.03713829815387726,
0.04253293201327324,
-0.020597107708454132,
0.03540661558508873,
0.07937569916248322,
-0.10731019079685211,
-0.05237390473484993,
-0.000998423551209271,
0.0060286615043878555,
-0.0414905808866024,
-0.039397694170475006,
-0.10087474435567856,
-0.004581733141094446,
0.0409356951713562,
0.04151775687932968,
0.03706946223974228,
-0.03277634084224701,
0.0043264576233923435,
-0.040580134838819504,
0.07923413068056107,
-0.06245450675487518,
-0.03269733861088753,
-0.05010240525007248,
-0.042159996926784515,
0.010456865653395653,
-0.06994690001010895,
0.05010548606514931,
-0.05639512836933136,
0.021159466356039047,
0.06026866286993027,
-0.05977712571620941,
0.01576201431453228,
-0.014326894655823708,
-0.04972830414772034,
0.0023845615796744823,
0.06318105012178421,
0.05819958448410034,
-0.03886520490050316,
0.044508662074804306,
0.0032383224461227655,
-0.04350298270583153,
0.03800670802593231,
-0.0744866356253624,
-0.08031868189573288,
0.01032999251037836,
-0.05802502483129501,
-0.03362109139561653,
-0.04487541317939758,
-6.174426606384102e-33,
0.021516818553209305,
-0.10514198988676071,
-0.06781213730573654,
0.06638236343860626,
-0.05950086936354637,
0.047645121812820435,
-0.012900158762931824,
0.06866893917322159,
-0.035686831921339035,
-0.17904473841190338,
-0.031402625143527985,
0.02884681336581707,
0.018808845430612564,
-0.015580658800899982,
-0.08036474138498306,
0.029692746698856354,
-0.00040056745638139546,
0.011482608504593372,
-0.1358828842639923,
-0.013070275075733662,
0.04249996691942215,
0.06761059165000916,
0.04379565641283989,
-0.036292318254709244,
-0.09016436338424683,
-0.054025549441576004,
0.09981538355350494,
0.044815145432949066,
-0.09310520440340042,
0.11448801308870316,
0.08073977380990982,
-0.020888060331344604,
0.028095562011003494,
0.0077641187235713005,
-0.04107457026839256,
0.021122153848409653,
0.012784799560904503,
0.012999230064451694,
-0.053922154009342194,
0.11033020913600922,
-0.06416288018226624,
0.05079337954521179,
0.02566111646592617,
-0.010084151290357113,
0.02389787696301937,
0.015258115716278553,
0.05160047486424446,
0.009440361522138119,
-0.06583420187234879,
-0.022587215527892113,
-0.027290694415569305,
-0.12022548913955688,
0.028745336458086967,
0.07704457640647888,
-0.11112863570451736,
0.0958980843424797,
0.02645944617688656,
-0.04117732122540474,
-0.0005363847594708204,
0.043965067714452744,
0.007920789532363415,
-0.03204691782593727,
0.08172758668661118,
0.006316561717540026,
0.06437397748231888,
0.005297416355460882,
-0.06539122015237808,
0.03301384672522545,
0.002037725644186139,
0.003717441111803055,
-0.04080440476536751,
-0.05874471366405487,
-0.046049658209085464,
0.08485964685678482,
0.039640191942453384,
0.14238092303276062,
0.08701629936695099,
-0.004079194273799658,
-0.010062222369015217,
-0.019591551274061203,
0.048912763595581055,
-0.00029274990083649755,
0.10257356613874435,
0.012413669377565384,
0.009355834685266018,
0.020827090367674828,
0.012792080640792847,
-0.02756999060511589,
0.05641365423798561,
0.029186531901359558,
-0.07971888780593872,
-0.05048532411456108,
0.003313124179840088,
0.027685081586241722,
-0.0059605990536510944,
-5.063889929601828e-8,
0.02619895525276661,
0.08757948130369186,
-0.07498441636562347,
0.06845240294933319,
-0.12181222438812256,
0.015119647607207298,
-0.05873192474246025,
-0.04875832423567772,
-0.03640026971697807,
-0.009401029907166958,
-0.047973234206438065,
0.027953000739216805,
-0.12323182821273804,
0.019244346767663956,
-0.038943883031606674,
0.05827779322862625,
0.023317478597164154,
0.040747445076704025,
-0.01385896559804678,
0.007257677149027586,
-0.014718740247189999,
0.025965562090277672,
0.04951004683971405,
-0.07024581730365753,
0.0379948727786541,
0.018636533990502357,
0.05383643880486488,
-0.008835463784635067,
0.05974705517292023,
0.05963888391852379,
0.028325682505965233,
-0.014516164548695087,
0.005046464037150145,
-0.014693345874547958,
-0.04509366303682327,
-0.01337597519159317,
-0.06597844511270523,
0.022888747975230217,
0.005906850099563599,
0.047123659402132034,
0.03786138445138931,
0.06138214096426964,
-0.08801311254501343,
-0.008883555419743061,
0.05258021876215935,
0.037863146513700485,
-0.019148843362927437,
-0.03974682465195656,
-0.07705152779817581,
0.05770524591207504,
0.021615341305732727,
0.03697371110320091,
-0.02541673183441162,
0.05816471949219704,
-0.009231199510395527,
-0.02265775576233864,
0.007434050086885691,
0.007561956997960806,
-0.06002722680568695,
-0.040616948157548904,
-0.0402555875480175,
0.05322890356183052,
-0.008738563396036625,
-0.043364692479372025
] |
1401.6365
|
Behnam Faghih
|
Behnam Faghih, Dr. Mohammad Reza Azadehfar, Prof. S. D. Katebi
|
User Interface Design for E-Learning Software
|
9 pages
|
International Journal of Soft Computing and Software Engineering
[JSCSE], Vol. 3, No. 3, pp. 786-794, 2013
|
10.7321/jscse.v3.n3.119
| null |
cs.CY cs.HC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
User interface (UI) is point of interaction between user and computer
software. The success and failure of a software application depends on User
Interface Design (UID). Possibility of using a software, easily using and
learning are issues influenced by UID. The UI is significant in designing of
educational software (e-Learning). Principles and concepts of learning should
be considered in addition to UID principles in UID for e-learning. In this
regard, to specify the logical relationship between education, learning, UID
and multimedia at first we readdress the issues raised in previous studies. It
is followed by examining the principle concepts of e-learning and UID. Then, we
will see how UID contributes to e-learning through the educational software
built by authors. Also we show the way of using UI to improve learning and
motivating the learners and to improve the time efficiency of using e-learning
software.
|
[
{
"created": "Fri, 24 Jan 2014 15:04:05 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Faghih",
"Behnam",
""
],
[
"Azadehfar",
"Dr. Mohammad Reza",
""
],
[
"Katebi",
"Prof. S. D.",
""
]
] |
[
-0.041016194969415665,
0.04636446386575699,
0.01231863908469677,
-0.05645408108830452,
0.00929177924990654,
0.003975360654294491,
0.09593380242586136,
0.0729074776172638,
0.03257029131054878,
0.049577366560697556,
0.02436927892267704,
0.027852514758706093,
0.06865484267473221,
0.0004429816617630422,
0.05038229376077652,
-0.11409892141819,
-0.04491537809371948,
-0.05136527866125107,
-0.015521492809057236,
-0.07258506119251251,
0.05866897106170654,
-0.006892741192132235,
0.026800785213708878,
0.010095026344060898,
-0.02461365982890129,
0.03817780315876007,
0.03890985623002052,
-0.008001301437616348,
0.043170016258955,
-0.04808981716632843,
0.07584848254919052,
-0.030986212193965912,
0.01571063883602619,
-0.02086670882999897,
-0.10113070160150528,
-0.02890811860561371,
0.059846196323633194,
-0.0278355423361063,
-0.09771333634853363,
-0.03049657493829727,
-0.18117032945156097,
0.013266845606267452,
0.006384219974279404,
-0.022784927859902382,
0.04771588742733002,
-0.08400989323854446,
-0.06454832851886749,
-0.054306402802467346,
0.005560397636145353,
0.01706322468817234,
-0.0640505850315094,
-0.06328105926513672,
-0.06170884519815445,
-0.038265328854322433,
-0.019621768966317177,
0.07048507034778595,
0.022461192682385445,
-0.012516106478869915,
-0.039393097162246704,
-0.019036829471588135,
-0.025306040421128273,
-0.05456264317035675,
0.016276977956295013,
0.07808353006839752,
0.011293548159301281,
-0.034515853971242905,
-0.01198254618793726,
-0.026878055185079575,
0.04969853535294533,
-0.07889857143163681,
-0.02100752852857113,
-0.030658986419439316,
0.007418218068778515,
0.043549470603466034,
-0.02808397449553013,
-0.06942196190357208,
-0.07850925624370575,
-0.0068346671760082245,
0.00812821090221405,
-0.03417668864130974,
0.022573251277208328,
0.10114015638828278,
-0.02252630516886711,
-0.06992299854755402,
0.003084298223257065,
0.048580415546894073,
0.04342407360672951,
-0.03438819199800491,
-0.015866542235016823,
-0.021011140197515488,
0.07876213639974594,
0.05718960240483284,
0.015108209103345871,
0.06641542911529541,
0.09207576513290405,
-0.04205480217933655,
0.06561576575040817,
-0.09341409057378769,
-0.04552643001079559,
0.010485917329788208,
-0.020207874476909637,
0.05231444165110588,
-0.048009827733039856,
-0.05002253130078316,
-0.04271123558282852,
-0.024444065988063812,
0.03812633082270622,
0.029068442061543465,
0.019122948870062828,
-0.03733708709478378,
-0.04056534916162491,
-0.047474365681409836,
-0.10105279088020325,
-0.042127639055252075,
0.02164565399289131,
0.08164318650960922,
-0.027712423354387283,
0.038945164531469345,
0.025491658598184586,
0.06622127443552017,
0.0038350371178239584,
-0.0034796493127942085,
-0.0715257078409195,
-0.0373687706887722,
0.008760488592088223,
-0.13419854640960693,
-0.06418712437152863,
3.1605883952543476e-33,
0.02560817264020443,
-0.07834815979003906,
-0.044774919748306274,
0.06902410835027695,
0.02662491425871849,
-0.048424169421195984,
0.040889788419008255,
0.04342279210686684,
0.00861512590199709,
-0.06155560538172722,
0.06397051364183426,
0.01652712933719158,
-0.04993097856640816,
0.08101871609687805,
0.09479311108589172,
-0.021072860807180405,
-0.12409880757331848,
0.029691709205508232,
0.02476084977388382,
-0.05338166281580925,
0.013292892836034298,
-0.11754497140645981,
0.05800887942314148,
-0.018817182630300522,
-0.016190404072403908,
0.07541610300540924,
-0.02539263851940632,
0.04101799800992012,
0.0571402944624424,
-0.008604575879871845,
-0.02654736302793026,
-0.055005788803100586,
-0.04026077687740326,
-0.040175940841436386,
-0.035764385014772415,
-0.04655231535434723,
0.019127825275063515,
-0.008649356663227081,
0.05671502649784088,
0.012213361449539661,
-0.04909992590546608,
-0.029934650287032127,
0.0683380514383316,
-0.0035114146303385496,
0.03518166020512581,
0.09425695240497589,
0.08922692388296127,
-0.041176021099090576,
-0.03313977271318436,
0.07619574666023254,
-0.011252017691731453,
-0.0019512266153469682,
0.015604420565068722,
-0.05066044628620148,
-0.01935884729027748,
0.043258365243673325,
0.035294629633426666,
0.016960058361291885,
-0.031110413372516632,
-0.029889147728681564,
-0.04228787124156952,
0.0979611948132515,
0.03865961357951164,
0.012294194661080837,
-0.023918569087982178,
-0.0012423866428434849,
0.10573843121528625,
-0.008087698370218277,
0.022818922996520996,
-0.02347343973815441,
-0.08562691509723663,
-0.05641349405050278,
-0.019245605915784836,
0.00024719987413845956,
0.022844234481453896,
-0.08004660904407501,
0.014711146242916584,
-0.018143413588404655,
0.027385151013731956,
0.03354949131608009,
-0.00861035194247961,
-0.024991611018776894,
-0.005671428516507149,
-0.05839947238564491,
-0.020384684205055237,
0.012032109312713146,
-0.0036297650076448917,
-0.09619256854057312,
0.013508007861673832,
0.02726142294704914,
0.026119112968444824,
0.045294102281332016,
-0.037176985293626785,
0.07057765126228333,
0.05432318523526192,
-5.513722741431158e-33,
0.010716218501329422,
-0.009927835315465927,
-0.06639090180397034,
-0.018629267811775208,
0.019332123920321465,
0.03301377221941948,
0.07353782653808594,
0.05130782723426819,
-0.01162862591445446,
-0.05967045575380325,
0.005329080857336521,
-0.0004782309988513589,
-0.08056409657001495,
0.030580289661884308,
-0.06795448809862137,
0.02447071485221386,
-0.02661721408367157,
-0.04417382553219795,
-0.04328286275267601,
0.03409769386053085,
-0.03433613479137421,
0.035662151873111725,
-0.05337905138731003,
-0.07756613940000534,
-0.02580377645790577,
0.005466742441058159,
-0.0015602967469021678,
-0.03783193603157997,
0.028237279504537582,
0.04053416848182678,
0.12843555212020874,
-0.12055313587188721,
-0.03870059549808502,
0.008051197975873947,
0.038396742194890976,
0.008902573958039284,
0.031362973153591156,
-0.009781349450349808,
-0.1006535142660141,
0.09207367151975632,
0.08547645807266235,
0.03380987048149109,
0.021234912797808647,
-0.02922729216516018,
0.04165429249405861,
0.02817603573203087,
-0.008068449795246124,
0.003131737234070897,
-0.02642248570919037,
-0.009878749027848244,
0.07000177353620529,
0.008452755399048328,
0.06191905960440636,
-0.15169551968574524,
-0.021370820701122284,
-0.016737764701247215,
0.09726985543966293,
0.005076603963971138,
0.0786474272608757,
0.01736782118678093,
0.04153037071228027,
-0.07417459040880203,
0.061763085424900055,
0.05050823837518692,
-0.03310416638851166,
-0.05093374848365784,
-0.01730964332818985,
0.07648923993110657,
-0.03901319205760956,
0.02148979716002941,
0.0385030172765255,
-0.010850569233298302,
-0.012186354026198387,
-0.11552076041698456,
-0.034449491649866104,
0.043525923043489456,
0.04854236915707588,
-0.001938879955559969,
-0.05663580447435379,
-0.021883277222514153,
0.020787067711353302,
0.041189465671777725,
0.009555219672620296,
0.002060959115624428,
-0.06927043944597244,
0.07497528195381165,
0.005236431490629911,
-0.004555529449135065,
0.03561893478035927,
0.01983272284269333,
-0.028242090716958046,
0.13410523533821106,
0.07439388334751129,
0.031203368678689003,
-0.042412400245666504,
-4.24363406636985e-8,
-0.07882682234048843,
-0.09694380313158035,
0.10608053207397461,
0.0010335581609979272,
0.06851692497730255,
0.05262947082519531,
-0.006884090602397919,
0.061967410147190094,
0.025520265102386475,
-0.03911605477333069,
-0.016307009384036064,
0.03065839409828186,
-0.027893852442502975,
0.05693361163139343,
0.08608562499284744,
0.0502626933157444,
0.01870998740196228,
0.02285345271229744,
0.00879577361047268,
-0.04511355236172676,
0.09365591406822205,
-0.04878116026520729,
-0.029747625812888145,
-0.01709923706948757,
-0.02428996004164219,
0.02160327509045601,
0.08584609627723694,
0.026909461244940758,
-0.04465273395180702,
0.08494829386472702,
0.02766837738454342,
-0.012345528230071068,
0.041510965675115585,
-0.05365609750151634,
0.0496845506131649,
-0.00726409861817956,
0.004044368397444487,
-0.005203477572649717,
-0.03483619540929794,
0.003316907212138176,
-0.06522773206233978,
-0.04270494729280472,
0.0797894224524498,
0.012715267948806286,
0.00028365166508592665,
0.05847083777189255,
-0.03212698921561241,
-0.04924384504556656,
-0.04060507193207741,
0.029782580211758614,
-0.124796062707901,
-0.05783511698246002,
-0.01768907532095909,
-0.052073318511247635,
0.04437599703669548,
-0.03747459128499031,
0.011142909526824951,
-0.0002698423631954938,
0.028844939544796944,
-0.0010993522591888905,
0.04946222901344299,
0.03643118962645531,
0.01303892582654953,
0.1299610286951065
] | null | null | null | null | null | null | null |
[
-0.041016194969415665,
0.04636446386575699,
0.01231863908469677,
-0.05645408108830452,
0.00929177924990654,
0.003975360654294491,
0.09593380242586136,
0.0729074776172638,
0.03257029131054878,
0.049577366560697556,
0.02436927892267704,
0.027852514758706093,
0.06865484267473221,
0.0004429816617630422,
0.05038229376077652,
-0.11409892141819,
-0.04491537809371948,
-0.05136527866125107,
-0.015521492809057236,
-0.07258506119251251,
0.05866897106170654,
-0.006892741192132235,
0.026800785213708878,
0.010095026344060898,
-0.02461365982890129,
0.03817780315876007,
0.03890985623002052,
-0.008001301437616348,
0.043170016258955,
-0.04808981716632843,
0.07584848254919052,
-0.030986212193965912,
0.01571063883602619,
-0.02086670882999897,
-0.10113070160150528,
-0.02890811860561371,
0.059846196323633194,
-0.0278355423361063,
-0.09771333634853363,
-0.03049657493829727,
-0.18117032945156097,
0.013266845606267452,
0.006384219974279404,
-0.022784927859902382,
0.04771588742733002,
-0.08400989323854446,
-0.06454832851886749,
-0.054306402802467346,
0.005560397636145353,
0.01706322468817234,
-0.0640505850315094,
-0.06328105926513672,
-0.06170884519815445,
-0.038265328854322433,
-0.019621768966317177,
0.07048507034778595,
0.022461192682385445,
-0.012516106478869915,
-0.039393097162246704,
-0.019036829471588135,
-0.025306040421128273,
-0.05456264317035675,
0.016276977956295013,
0.07808353006839752,
0.011293548159301281,
-0.034515853971242905,
-0.01198254618793726,
-0.026878055185079575,
0.04969853535294533,
-0.07889857143163681,
-0.02100752852857113,
-0.030658986419439316,
0.007418218068778515,
0.043549470603466034,
-0.02808397449553013,
-0.06942196190357208,
-0.07850925624370575,
-0.0068346671760082245,
0.00812821090221405,
-0.03417668864130974,
0.022573251277208328,
0.10114015638828278,
-0.02252630516886711,
-0.06992299854755402,
0.003084298223257065,
0.048580415546894073,
0.04342407360672951,
-0.03438819199800491,
-0.015866542235016823,
-0.021011140197515488,
0.07876213639974594,
0.05718960240483284,
0.015108209103345871,
0.06641542911529541,
0.09207576513290405,
-0.04205480217933655,
0.06561576575040817,
-0.09341409057378769,
-0.04552643001079559,
0.010485917329788208,
-0.020207874476909637,
0.05231444165110588,
-0.048009827733039856,
-0.05002253130078316,
-0.04271123558282852,
-0.024444065988063812,
0.03812633082270622,
0.029068442061543465,
0.019122948870062828,
-0.03733708709478378,
-0.04056534916162491,
-0.047474365681409836,
-0.10105279088020325,
-0.042127639055252075,
0.02164565399289131,
0.08164318650960922,
-0.027712423354387283,
0.038945164531469345,
0.025491658598184586,
0.06622127443552017,
0.0038350371178239584,
-0.0034796493127942085,
-0.0715257078409195,
-0.0373687706887722,
0.008760488592088223,
-0.13419854640960693,
-0.06418712437152863,
3.1605883952543476e-33,
0.02560817264020443,
-0.07834815979003906,
-0.044774919748306274,
0.06902410835027695,
0.02662491425871849,
-0.048424169421195984,
0.040889788419008255,
0.04342279210686684,
0.00861512590199709,
-0.06155560538172722,
0.06397051364183426,
0.01652712933719158,
-0.04993097856640816,
0.08101871609687805,
0.09479311108589172,
-0.021072860807180405,
-0.12409880757331848,
0.029691709205508232,
0.02476084977388382,
-0.05338166281580925,
0.013292892836034298,
-0.11754497140645981,
0.05800887942314148,
-0.018817182630300522,
-0.016190404072403908,
0.07541610300540924,
-0.02539263851940632,
0.04101799800992012,
0.0571402944624424,
-0.008604575879871845,
-0.02654736302793026,
-0.055005788803100586,
-0.04026077687740326,
-0.040175940841436386,
-0.035764385014772415,
-0.04655231535434723,
0.019127825275063515,
-0.008649356663227081,
0.05671502649784088,
0.012213361449539661,
-0.04909992590546608,
-0.029934650287032127,
0.0683380514383316,
-0.0035114146303385496,
0.03518166020512581,
0.09425695240497589,
0.08922692388296127,
-0.041176021099090576,
-0.03313977271318436,
0.07619574666023254,
-0.011252017691731453,
-0.0019512266153469682,
0.015604420565068722,
-0.05066044628620148,
-0.01935884729027748,
0.043258365243673325,
0.035294629633426666,
0.016960058361291885,
-0.031110413372516632,
-0.029889147728681564,
-0.04228787124156952,
0.0979611948132515,
0.03865961357951164,
0.012294194661080837,
-0.023918569087982178,
-0.0012423866428434849,
0.10573843121528625,
-0.008087698370218277,
0.022818922996520996,
-0.02347343973815441,
-0.08562691509723663,
-0.05641349405050278,
-0.019245605915784836,
0.00024719987413845956,
0.022844234481453896,
-0.08004660904407501,
0.014711146242916584,
-0.018143413588404655,
0.027385151013731956,
0.03354949131608009,
-0.00861035194247961,
-0.024991611018776894,
-0.005671428516507149,
-0.05839947238564491,
-0.020384684205055237,
0.012032109312713146,
-0.0036297650076448917,
-0.09619256854057312,
0.013508007861673832,
0.02726142294704914,
0.026119112968444824,
0.045294102281332016,
-0.037176985293626785,
0.07057765126228333,
0.05432318523526192,
-5.513722741431158e-33,
0.010716218501329422,
-0.009927835315465927,
-0.06639090180397034,
-0.018629267811775208,
0.019332123920321465,
0.03301377221941948,
0.07353782653808594,
0.05130782723426819,
-0.01162862591445446,
-0.05967045575380325,
0.005329080857336521,
-0.0004782309988513589,
-0.08056409657001495,
0.030580289661884308,
-0.06795448809862137,
0.02447071485221386,
-0.02661721408367157,
-0.04417382553219795,
-0.04328286275267601,
0.03409769386053085,
-0.03433613479137421,
0.035662151873111725,
-0.05337905138731003,
-0.07756613940000534,
-0.02580377645790577,
0.005466742441058159,
-0.0015602967469021678,
-0.03783193603157997,
0.028237279504537582,
0.04053416848182678,
0.12843555212020874,
-0.12055313587188721,
-0.03870059549808502,
0.008051197975873947,
0.038396742194890976,
0.008902573958039284,
0.031362973153591156,
-0.009781349450349808,
-0.1006535142660141,
0.09207367151975632,
0.08547645807266235,
0.03380987048149109,
0.021234912797808647,
-0.02922729216516018,
0.04165429249405861,
0.02817603573203087,
-0.008068449795246124,
0.003131737234070897,
-0.02642248570919037,
-0.009878749027848244,
0.07000177353620529,
0.008452755399048328,
0.06191905960440636,
-0.15169551968574524,
-0.021370820701122284,
-0.016737764701247215,
0.09726985543966293,
0.005076603963971138,
0.0786474272608757,
0.01736782118678093,
0.04153037071228027,
-0.07417459040880203,
0.061763085424900055,
0.05050823837518692,
-0.03310416638851166,
-0.05093374848365784,
-0.01730964332818985,
0.07648923993110657,
-0.03901319205760956,
0.02148979716002941,
0.0385030172765255,
-0.010850569233298302,
-0.012186354026198387,
-0.11552076041698456,
-0.034449491649866104,
0.043525923043489456,
0.04854236915707588,
-0.001938879955559969,
-0.05663580447435379,
-0.021883277222514153,
0.020787067711353302,
0.041189465671777725,
0.009555219672620296,
0.002060959115624428,
-0.06927043944597244,
0.07497528195381165,
0.005236431490629911,
-0.004555529449135065,
0.03561893478035927,
0.01983272284269333,
-0.028242090716958046,
0.13410523533821106,
0.07439388334751129,
0.031203368678689003,
-0.042412400245666504,
-4.24363406636985e-8,
-0.07882682234048843,
-0.09694380313158035,
0.10608053207397461,
0.0010335581609979272,
0.06851692497730255,
0.05262947082519531,
-0.006884090602397919,
0.061967410147190094,
0.025520265102386475,
-0.03911605477333069,
-0.016307009384036064,
0.03065839409828186,
-0.027893852442502975,
0.05693361163139343,
0.08608562499284744,
0.0502626933157444,
0.01870998740196228,
0.02285345271229744,
0.00879577361047268,
-0.04511355236172676,
0.09365591406822205,
-0.04878116026520729,
-0.029747625812888145,
-0.01709923706948757,
-0.02428996004164219,
0.02160327509045601,
0.08584609627723694,
0.026909461244940758,
-0.04465273395180702,
0.08494829386472702,
0.02766837738454342,
-0.012345528230071068,
0.041510965675115585,
-0.05365609750151634,
0.0496845506131649,
-0.00726409861817956,
0.004044368397444487,
-0.005203477572649717,
-0.03483619540929794,
0.003316907212138176,
-0.06522773206233978,
-0.04270494729280472,
0.0797894224524498,
0.012715267948806286,
0.00028365166508592665,
0.05847083777189255,
-0.03212698921561241,
-0.04924384504556656,
-0.04060507193207741,
0.029782580211758614,
-0.124796062707901,
-0.05783511698246002,
-0.01768907532095909,
-0.052073318511247635,
0.04437599703669548,
-0.03747459128499031,
0.011142909526824951,
-0.0002698423631954938,
0.028844939544796944,
-0.0010993522591888905,
0.04946222901344299,
0.03643118962645531,
0.01303892582654953,
0.1299610286951065
] |
1401.6370
|
Haipeng Zhang Ph.D.
|
Haipeng Zhang, Lingjun Kong, Xiuju Huang, Mengmeng Cao
|
Design of a High Speed XAUI Based on Dynamic Reconfigurable Transceiver
IP Core
|
10 pages, 5 figures, 5 tables, 14 references
|
International Journal of Soft Computing And Software Engineering
(JSCSE) Vol.2,No.9, 2012 Published online: Sep 25, 2012
|
10.7321/jscse.v2.n9.4
| null |
cs.AR
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
By using the dynamic reconfigurable transceiver in high speed interface
design, designer can solve critical technology problems such as ensuring signal
integrity conveniently, with lower error binary rate. In this paper, we
designed a high speed XAUI (10Gbps Ethernet Attachment Unit Interface) to
transparently extend the physical reach of the XGMII. The following points are
focused: (1) IP (Intellectual Property) core usage. Altera Co. offers two
transceiver IP cores in Quartus II MegaWizard Plug-In Manager for XAUI design
which is featured of dynamic reconfiguration performance, that is,
ALTGX_RECO?FIG instance and ALTGX instance, we can get various groups by
changing settings of the devices without power off. These two blocks can
accomplish function of PCS (Physical Coding Sub-layer) and PMA (Physical Medium
Attachment), however, with higher efficiency and reliability. (2) 1+1
protection. In our design, two ALTGX IP cores are used to work in parallel,
which named XAUI0 and XAUI1. The former works as the main channel while the
latter redundant channel. When XAUI0 is out of service for some reasons, XAUI1
will start to work to keep the business. (3) RTL (Register Transfer Level)
coding with Verilog HDL and simulation. Create the ALTGX_RECO?FIG instance and
ALTGX instance, enable dynamic reconfiguration in the ALTGXB Megafunction, then
connect the ALTGX_RECO?FIG with the ALTGX instances. After RTL coding, the
design was simulated on VCS simulator. The validated result indicates that the
packets are transferred efficiently. FPGA makes high-speed optical
communication system design simplified.
|
[
{
"created": "Fri, 24 Jan 2014 15:14:52 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Zhang",
"Haipeng",
""
],
[
"Kong",
"Lingjun",
""
],
[
"Huang",
"Xiuju",
""
],
[
"Cao",
"Mengmeng",
""
]
] |
[
-0.03445279225707054,
0.028660058975219727,
0.03793825954198837,
-0.01976696029305458,
-0.0621618777513504,
-0.06104576215147972,
0.007131014484912157,
0.06440645456314087,
-0.08103010803461075,
-0.012565089389681816,
0.05051923170685768,
-0.005694559309631586,
0.040519583970308304,
-0.06496401876211166,
0.012908179312944412,
0.053360819816589355,
0.09456489235162735,
-0.005176051985472441,
-0.021567752584815025,
-0.002751016989350319,
0.08257335424423218,
-0.07315476983785629,
0.0017374955350533128,
-0.06117089465260506,
-0.055051472038030624,
-0.08713118731975555,
0.03030872903764248,
0.002585027366876602,
-0.00361461378633976,
-0.06599294394254684,
0.04513845592737198,
0.0313761830329895,
-0.059100545942783356,
-0.024314291775226593,
-0.06547130644321442,
0.0730440616607666,
0.0712871178984642,
-0.0698905736207962,
-0.009397574700415134,
-0.06192171573638916,
0.013158705085515976,
-0.03708115965127945,
-0.03572284057736397,
-0.05787959322333336,
0.059334658086299896,
-0.043209563940763474,
0.05566813796758652,
0.016432616859674454,
-0.01855587586760521,
-0.03674224764108658,
0.07906690239906311,
-0.0035038499627262354,
0.03694132715463638,
0.07705765217542648,
0.10183406621217728,
0.021859413012862206,
0.002705797553062439,
0.03229561448097229,
-0.027529217302799225,
0.017717532813549042,
0.026960495859384537,
0.016677388921380043,
0.027901852503418922,
-0.022180940955877304,
-0.06389643251895905,
-0.008843271993100643,
0.07185889035463333,
-0.010369746014475822,
-0.034821201115846634,
-0.023282011970877647,
0.01480829156935215,
-0.052432555705308914,
-0.04033822938799858,
-0.015256142243742943,
0.029062241315841675,
0.064480260014534,
0.04567306116223335,
0.01736142672598362,
-0.030364612117409706,
-0.05483598634600639,
0.04814926162362099,
0.03659110143780708,
0.0005452746991068125,
-0.002554339589551091,
0.02048274502158165,
-0.012915655970573425,
-0.007890037260949612,
-0.016358155757188797,
-0.038521889597177505,
-0.0526864230632782,
0.0048775277100503445,
0.031106524169445038,
0.09010040014982224,
-0.03116140142083168,
0.154360830783844,
-0.07863875478506088,
-0.04610414803028107,
-0.12657508254051208,
-0.05875313654541969,
0.03744272515177727,
0.0006335601210594177,
-0.01987408846616745,
0.02710983343422413,
0.03980953246355057,
-0.04522963613271713,
-0.05417961627244949,
-0.024020066484808922,
0.039074670523405075,
-0.07519044727087021,
-0.028880469501018524,
-0.058651600033044815,
-0.024474970996379852,
0.0009774725185707211,
-0.009612105786800385,
-0.03130720555782318,
0.11399554461240768,
-0.004165181890130043,
0.08337036520242691,
0.013345559127628803,
-0.05967242643237114,
-0.05350947752594948,
-0.006303215399384499,
-0.0012283539399504662,
0.04041362553834915,
0.041642796248197556,
0.014530187472701073,
-0.008028250187635422,
9.704253205595085e-33,
-0.09702055901288986,
0.051714662462472916,
-0.09765451401472092,
-0.0435943529009819,
0.019658029079437256,
-0.08508075028657913,
0.08952473104000092,
0.07851103693246841,
0.019511211663484573,
-0.040754497051239014,
-0.08626166731119156,
0.014520994387567043,
-0.029823651537299156,
0.10329166054725647,
0.027377121150493622,
-0.09066525846719742,
0.0067674098536372185,
0.03522922471165657,
0.021028412505984306,
0.04047524183988571,
-0.02084146998822689,
-0.04220634698867798,
0.04582688957452774,
-0.07927311956882477,
0.05872827768325806,
0.00762207480147481,
0.0401478111743927,
-0.014781089499592781,
-0.01129519660025835,
0.009903439320623875,
-0.0826861560344696,
-0.016117578372359276,
0.01909642480313778,
-0.022385289892554283,
-0.072911836206913,
0.014050738885998726,
-0.058164652436971664,
-0.07644641399383545,
-0.0296311192214489,
0.06357079744338989,
0.02023964188992977,
0.007122804410755634,
-0.09856085479259491,
-0.11529044806957245,
-0.006012340076267719,
-0.02179156243801117,
-0.013932529836893082,
-0.052771780639886856,
-0.0787568986415863,
-0.024317601695656776,
0.04951781406998634,
0.07333190739154816,
-0.055712539702653885,
-0.0062082079239189625,
0.0912598967552185,
-0.12247214466333389,
-0.006698219571262598,
0.12881842255592346,
0.103403240442276,
0.13260197639465332,
-0.0556655079126358,
-0.018104271963238716,
-0.032435789704322815,
0.07820110768079758,
0.011837401427328587,
0.06637983024120331,
0.04638303443789482,
0.01700786128640175,
-0.08060575276613235,
0.02174784615635872,
-0.04843795299530029,
0.028924111276865005,
0.0048612020909786224,
-0.05952673777937889,
0.08640847355127335,
-0.024993451312184334,
-0.07884081453084946,
0.010416165925562382,
-0.049918342381715775,
-0.01579684019088745,
-0.043912723660469055,
0.11133307963609695,
0.01364332064986229,
0.05031805858016014,
0.03434266522526741,
-0.035056933760643005,
0.09718513488769531,
0.03631656989455223,
-0.0634184256196022,
0.030048292130231857,
0.037096619606018066,
0.013062594458460808,
0.051775384694337845,
0.032081760466098785,
-0.0022258067037910223,
-7.082958108610986e-33,
-0.03816722705960274,
0.0008714630967006087,
-0.0052908738143742085,
0.031001033261418343,
-0.019750764593482018,
-0.04610564187169075,
-0.004789168480783701,
0.010792910121381283,
-0.03146485239267349,
-0.006293267942965031,
-0.0260942243039608,
-0.0661420077085495,
0.019535992294549942,
-0.03815654292702675,
0.00808881688863039,
-0.013443726114928722,
-0.06275633722543716,
-0.048218246549367905,
-0.03455870971083641,
-0.008061881177127361,
0.09492359310388565,
0.0662313923239708,
0.0699496865272522,
-0.09373186528682709,
-0.07274501770734787,
0.026785558089613914,
-0.04050817713141441,
0.10350287705659866,
-0.010612395592033863,
-0.07909470796585083,
-0.08535460382699966,
-0.029880404472351074,
-0.015375727787613869,
-0.002518853871151805,
0.10393569618463516,
0.020854994654655457,
0.0007672887877561152,
0.08689470589160919,
-0.0029859181959182024,
0.022050505504012108,
0.028741110116243362,
0.03745286539196968,
-0.002967295702546835,
0.077058345079422,
0.05513980612158775,
0.009804030880331993,
-0.1273941695690155,
-0.09462343901395798,
-0.05027158558368683,
0.017797185108065605,
0.02640599012374878,
0.0023396562319248915,
0.048922356218099594,
0.012934987433254719,
0.04076565429568291,
0.020937595516443253,
0.013576545752584934,
0.08777445554733276,
-0.013885497115552425,
0.05691969394683838,
0.06638983637094498,
-0.12407412379980087,
0.019439922645688057,
0.0731317400932312,
0.04977944865822792,
-0.017202192917466164,
0.0768752247095108,
-0.03311008960008621,
-0.04955076053738594,
0.03377341851592064,
0.06262993067502975,
-0.02422497048974037,
0.03650565445423126,
-0.0320071242749691,
-0.030390651896595955,
0.05336517095565796,
0.015577747486531734,
-0.045719437301158905,
0.023022476583719254,
-0.013502893038094044,
-0.11076836287975311,
0.038506075739860535,
-0.04126618802547455,
0.028994107618927956,
-0.014513960108160973,
0.018180087208747864,
-0.01596965454518795,
0.06186346337199211,
0.05962824076414108,
-0.07944595813751221,
0.005372142419219017,
-0.012433725409209728,
-0.01888648048043251,
0.06717044115066528,
0.06644228100776672,
-5.903309485688624e-8,
0.035394471138715744,
-0.041639454662799835,
-0.057755421847105026,
0.026072891429066658,
-0.009909773245453835,
-0.03913448750972748,
-0.017517320811748505,
-0.05253327265381813,
0.04208094999194145,
-0.0208984836935997,
0.062506765127182,
-0.02768821269273758,
-0.01823591999709606,
0.046481624245643616,
0.010135505348443985,
0.036589719355106354,
-0.0013128680875524879,
-0.050766270607709885,
0.015107867307960987,
-0.011525746434926987,
-0.012660869397222996,
0.027107790112495422,
-0.007855836302042007,
0.047625262290239334,
-0.013050422072410583,
-0.05739373713731766,
0.04648887738585472,
-0.00379744335077703,
-0.03367909789085388,
0.018106790259480476,
-0.017490899190306664,
0.0032131995540112257,
0.0036192135885357857,
0.11566412448883057,
-0.05256209895014763,
0.053937628865242004,
-0.004299656488001347,
0.11422271281480789,
0.08197834342718124,
0.05599052831530571,
0.07909724861383438,
-0.0981626808643341,
-0.011140229180455208,
-0.021258559077978134,
0.014443608932197094,
-0.014671562239527702,
-0.05331241339445114,
-0.0679076686501503,
-0.041701845824718475,
0.04480644315481186,
-0.009583440609276295,
0.056011706590652466,
0.06427762657403946,
-0.02885294519364834,
0.013906183652579784,
0.025107787922024727,
-0.014331109821796417,
-0.011525490321218967,
0.05570828914642334,
0.06921110302209854,
-0.007726551499217749,
-0.010304955765604973,
-0.006720734294503927,
-0.024770908057689667
] | null | null | null | null | null | null | null |
[
-0.03445279225707054,
0.028660058975219727,
0.03793825954198837,
-0.01976696029305458,
-0.0621618777513504,
-0.06104576215147972,
0.007131014484912157,
0.06440645456314087,
-0.08103010803461075,
-0.012565089389681816,
0.05051923170685768,
-0.005694559309631586,
0.040519583970308304,
-0.06496401876211166,
0.012908179312944412,
0.053360819816589355,
0.09456489235162735,
-0.005176051985472441,
-0.021567752584815025,
-0.002751016989350319,
0.08257335424423218,
-0.07315476983785629,
0.0017374955350533128,
-0.06117089465260506,
-0.055051472038030624,
-0.08713118731975555,
0.03030872903764248,
0.002585027366876602,
-0.00361461378633976,
-0.06599294394254684,
0.04513845592737198,
0.0313761830329895,
-0.059100545942783356,
-0.024314291775226593,
-0.06547130644321442,
0.0730440616607666,
0.0712871178984642,
-0.0698905736207962,
-0.009397574700415134,
-0.06192171573638916,
0.013158705085515976,
-0.03708115965127945,
-0.03572284057736397,
-0.05787959322333336,
0.059334658086299896,
-0.043209563940763474,
0.05566813796758652,
0.016432616859674454,
-0.01855587586760521,
-0.03674224764108658,
0.07906690239906311,
-0.0035038499627262354,
0.03694132715463638,
0.07705765217542648,
0.10183406621217728,
0.021859413012862206,
0.002705797553062439,
0.03229561448097229,
-0.027529217302799225,
0.017717532813549042,
0.026960495859384537,
0.016677388921380043,
0.027901852503418922,
-0.022180940955877304,
-0.06389643251895905,
-0.008843271993100643,
0.07185889035463333,
-0.010369746014475822,
-0.034821201115846634,
-0.023282011970877647,
0.01480829156935215,
-0.052432555705308914,
-0.04033822938799858,
-0.015256142243742943,
0.029062241315841675,
0.064480260014534,
0.04567306116223335,
0.01736142672598362,
-0.030364612117409706,
-0.05483598634600639,
0.04814926162362099,
0.03659110143780708,
0.0005452746991068125,
-0.002554339589551091,
0.02048274502158165,
-0.012915655970573425,
-0.007890037260949612,
-0.016358155757188797,
-0.038521889597177505,
-0.0526864230632782,
0.0048775277100503445,
0.031106524169445038,
0.09010040014982224,
-0.03116140142083168,
0.154360830783844,
-0.07863875478506088,
-0.04610414803028107,
-0.12657508254051208,
-0.05875313654541969,
0.03744272515177727,
0.0006335601210594177,
-0.01987408846616745,
0.02710983343422413,
0.03980953246355057,
-0.04522963613271713,
-0.05417961627244949,
-0.024020066484808922,
0.039074670523405075,
-0.07519044727087021,
-0.028880469501018524,
-0.058651600033044815,
-0.024474970996379852,
0.0009774725185707211,
-0.009612105786800385,
-0.03130720555782318,
0.11399554461240768,
-0.004165181890130043,
0.08337036520242691,
0.013345559127628803,
-0.05967242643237114,
-0.05350947752594948,
-0.006303215399384499,
-0.0012283539399504662,
0.04041362553834915,
0.041642796248197556,
0.014530187472701073,
-0.008028250187635422,
9.704253205595085e-33,
-0.09702055901288986,
0.051714662462472916,
-0.09765451401472092,
-0.0435943529009819,
0.019658029079437256,
-0.08508075028657913,
0.08952473104000092,
0.07851103693246841,
0.019511211663484573,
-0.040754497051239014,
-0.08626166731119156,
0.014520994387567043,
-0.029823651537299156,
0.10329166054725647,
0.027377121150493622,
-0.09066525846719742,
0.0067674098536372185,
0.03522922471165657,
0.021028412505984306,
0.04047524183988571,
-0.02084146998822689,
-0.04220634698867798,
0.04582688957452774,
-0.07927311956882477,
0.05872827768325806,
0.00762207480147481,
0.0401478111743927,
-0.014781089499592781,
-0.01129519660025835,
0.009903439320623875,
-0.0826861560344696,
-0.016117578372359276,
0.01909642480313778,
-0.022385289892554283,
-0.072911836206913,
0.014050738885998726,
-0.058164652436971664,
-0.07644641399383545,
-0.0296311192214489,
0.06357079744338989,
0.02023964188992977,
0.007122804410755634,
-0.09856085479259491,
-0.11529044806957245,
-0.006012340076267719,
-0.02179156243801117,
-0.013932529836893082,
-0.052771780639886856,
-0.0787568986415863,
-0.024317601695656776,
0.04951781406998634,
0.07333190739154816,
-0.055712539702653885,
-0.0062082079239189625,
0.0912598967552185,
-0.12247214466333389,
-0.006698219571262598,
0.12881842255592346,
0.103403240442276,
0.13260197639465332,
-0.0556655079126358,
-0.018104271963238716,
-0.032435789704322815,
0.07820110768079758,
0.011837401427328587,
0.06637983024120331,
0.04638303443789482,
0.01700786128640175,
-0.08060575276613235,
0.02174784615635872,
-0.04843795299530029,
0.028924111276865005,
0.0048612020909786224,
-0.05952673777937889,
0.08640847355127335,
-0.024993451312184334,
-0.07884081453084946,
0.010416165925562382,
-0.049918342381715775,
-0.01579684019088745,
-0.043912723660469055,
0.11133307963609695,
0.01364332064986229,
0.05031805858016014,
0.03434266522526741,
-0.035056933760643005,
0.09718513488769531,
0.03631656989455223,
-0.0634184256196022,
0.030048292130231857,
0.037096619606018066,
0.013062594458460808,
0.051775384694337845,
0.032081760466098785,
-0.0022258067037910223,
-7.082958108610986e-33,
-0.03816722705960274,
0.0008714630967006087,
-0.0052908738143742085,
0.031001033261418343,
-0.019750764593482018,
-0.04610564187169075,
-0.004789168480783701,
0.010792910121381283,
-0.03146485239267349,
-0.006293267942965031,
-0.0260942243039608,
-0.0661420077085495,
0.019535992294549942,
-0.03815654292702675,
0.00808881688863039,
-0.013443726114928722,
-0.06275633722543716,
-0.048218246549367905,
-0.03455870971083641,
-0.008061881177127361,
0.09492359310388565,
0.0662313923239708,
0.0699496865272522,
-0.09373186528682709,
-0.07274501770734787,
0.026785558089613914,
-0.04050817713141441,
0.10350287705659866,
-0.010612395592033863,
-0.07909470796585083,
-0.08535460382699966,
-0.029880404472351074,
-0.015375727787613869,
-0.002518853871151805,
0.10393569618463516,
0.020854994654655457,
0.0007672887877561152,
0.08689470589160919,
-0.0029859181959182024,
0.022050505504012108,
0.028741110116243362,
0.03745286539196968,
-0.002967295702546835,
0.077058345079422,
0.05513980612158775,
0.009804030880331993,
-0.1273941695690155,
-0.09462343901395798,
-0.05027158558368683,
0.017797185108065605,
0.02640599012374878,
0.0023396562319248915,
0.048922356218099594,
0.012934987433254719,
0.04076565429568291,
0.020937595516443253,
0.013576545752584934,
0.08777445554733276,
-0.013885497115552425,
0.05691969394683838,
0.06638983637094498,
-0.12407412379980087,
0.019439922645688057,
0.0731317400932312,
0.04977944865822792,
-0.017202192917466164,
0.0768752247095108,
-0.03311008960008621,
-0.04955076053738594,
0.03377341851592064,
0.06262993067502975,
-0.02422497048974037,
0.03650565445423126,
-0.0320071242749691,
-0.030390651896595955,
0.05336517095565796,
0.015577747486531734,
-0.045719437301158905,
0.023022476583719254,
-0.013502893038094044,
-0.11076836287975311,
0.038506075739860535,
-0.04126618802547455,
0.028994107618927956,
-0.014513960108160973,
0.018180087208747864,
-0.01596965454518795,
0.06186346337199211,
0.05962824076414108,
-0.07944595813751221,
0.005372142419219017,
-0.012433725409209728,
-0.01888648048043251,
0.06717044115066528,
0.06644228100776672,
-5.903309485688624e-8,
0.035394471138715744,
-0.041639454662799835,
-0.057755421847105026,
0.026072891429066658,
-0.009909773245453835,
-0.03913448750972748,
-0.017517320811748505,
-0.05253327265381813,
0.04208094999194145,
-0.0208984836935997,
0.062506765127182,
-0.02768821269273758,
-0.01823591999709606,
0.046481624245643616,
0.010135505348443985,
0.036589719355106354,
-0.0013128680875524879,
-0.050766270607709885,
0.015107867307960987,
-0.011525746434926987,
-0.012660869397222996,
0.027107790112495422,
-0.007855836302042007,
0.047625262290239334,
-0.013050422072410583,
-0.05739373713731766,
0.04648887738585472,
-0.00379744335077703,
-0.03367909789085388,
0.018106790259480476,
-0.017490899190306664,
0.0032131995540112257,
0.0036192135885357857,
0.11566412448883057,
-0.05256209895014763,
0.053937628865242004,
-0.004299656488001347,
0.11422271281480789,
0.08197834342718124,
0.05599052831530571,
0.07909724861383438,
-0.0981626808643341,
-0.011140229180455208,
-0.021258559077978134,
0.014443608932197094,
-0.014671562239527702,
-0.05331241339445114,
-0.0679076686501503,
-0.041701845824718475,
0.04480644315481186,
-0.009583440609276295,
0.056011706590652466,
0.06427762657403946,
-0.02885294519364834,
0.013906183652579784,
0.025107787922024727,
-0.014331109821796417,
-0.011525490321218967,
0.05570828914642334,
0.06921110302209854,
-0.007726551499217749,
-0.010304955765604973,
-0.006720734294503927,
-0.024770908057689667
] |
1401.6375
|
Haipeng Zhang Ph.D.
|
Yixin Liu, Haipeng Zhang, Tao Feng
|
Design of an Encryption-Decryption Module Oriented for Internet
Information Security SOC Design
|
11 pages, 5 figures, 4 tables, 14 references
|
International Journal of Soft Computing And Software Engineering
(JSCSE),Vol.2,No.7, 2012
|
10.7321/jscse.v2.n7.3
| null |
cs.AR cs.CR
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
In order to protect the security of network data, a high speed chip module
for encrypting and decrypting of network data packet is designed. The chip
module is oriented for internet information security SOC (System on Chip)
design. During the design process, AES (Advanced Encryption Standard) and 3DES
(Data Encryption Standard) encryption algorithm are adopted to protect the
security of network data. The following points are focused: (1) The SOC (System
on Chip) design methodology based on IP (Intellectual Property) core is used.
AES (Advanced Encryption Standard) and 3DES (Data Encryption Standard) IP
(Intellectual Property) cores are embedded in the chip module, peripheral
control sub-modules are designed to control the encryption-decryption module,
which is capable of shortening the design period of the chip module. (2) The
implementation of encryption-decryption with hardware was presented, which
improves the safety of data through the encryption-decryption chip and reduce
the load of CPU. (3) In our hardware solution, two AES (Advanced Encryption
Standard) cores are used to work in parallel, which improves the speed of the
encryption module. Moreover, the key length of AES (Advanced Encryption
Standard) encryption algorithm is designed with three optional configurations
at 128 bits, 256 bits and 192 bits respectively and six optional encryption
algorithm modes: CBC (Cipher Block Chaining) mode, ECB (Electronic Code Book)
mode, GCM (Galois/Counter Mode) mode, XTS(cipherteXT Stealing) mode, CTR
(CounTeR) mode and 3DES respectively, which adds the flexibility to its
applications.
|
[
{
"created": "Fri, 24 Jan 2014 15:29:06 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Liu",
"Yixin",
""
],
[
"Zhang",
"Haipeng",
""
],
[
"Feng",
"Tao",
""
]
] |
[
-0.045028623193502426,
0.08795348554849625,
0.011422468349337578,
-0.03891664743423462,
0.0047041731886565685,
-0.03725637122988701,
0.03645707666873932,
0.03159404918551445,
0.019824931398034096,
0.013888329267501831,
-0.045333072543144226,
0.04437943547964096,
-0.02292349562048912,
-0.0643732026219368,
0.010249822400510311,
-0.05417056009173393,
0.02931470237672329,
0.04070384427905083,
-0.035202506929636,
-0.09639976173639297,
0.08088027685880661,
-0.06052035093307495,
0.02958141267299652,
-0.058803342282772064,
-0.053846485912799835,
0.09330996870994568,
0.10780894756317139,
0.009853527881205082,
-0.041579678654670715,
-0.03355446085333824,
0.038074083626270294,
-0.07764025777578354,
0.0767182782292366,
0.04157530888915062,
-0.099884033203125,
-0.06011962890625,
0.03169932961463928,
-0.014818940311670303,
0.0044963122345507145,
-0.030231377109885216,
-0.07193788886070251,
-0.032082490622997284,
-0.014851820655167103,
0.014663469046354294,
-0.06483068317174911,
0.056813739240169525,
0.01700209453701973,
0.002819538116455078,
-0.010217178612947464,
-0.014247804880142212,
0.017976723611354828,
0.024700775742530823,
-0.04055140167474747,
0.027139931917190552,
-0.04009821638464928,
0.024335239082574844,
-0.044515423476696014,
0.0040936702862381935,
-0.010370481759309769,
0.0011827368289232254,
0.007318982854485512,
0.011075345799326897,
0.04902305081486702,
0.08358464390039444,
-0.05899113044142723,
0.0039662690833210945,
0.07565468549728394,
-0.023569529876112938,
0.017900463193655014,
-0.014036109670996666,
-0.0024352516047656536,
-0.033361129462718964,
-0.027524007484316826,
0.07686516642570496,
-0.06978928297758102,
-0.018447330221533775,
0.011914758011698723,
-0.028429774567484856,
-0.03961968421936035,
-0.05145050957798958,
0.025735709816217422,
-0.006109446287155151,
0.034492891281843185,
-0.0012720369268208742,
0.018555033951997757,
0.018958166241645813,
-0.07997060567140579,
0.003230348462238908,
-0.025020021945238113,
-0.03599071130156517,
0.06775733828544617,
-0.03217547759413719,
0.029330920428037643,
0.03582992032170296,
0.10918555408716202,
-0.01001341175287962,
-0.01664009690284729,
-0.026947742328047752,
-0.07165686041116714,
-0.038043200969696045,
-0.03922272473573685,
-0.016503021121025085,
0.004337952937930822,
0.029056226834654808,
0.07653958350419998,
0.05525144189596176,
-0.003963318653404713,
-0.03671100735664368,
-0.06772385537624359,
0.06781717389822006,
-0.09497226029634476,
0.05990137159824371,
-0.052907299250364304,
-0.014376589097082615,
0.03707761690020561,
-0.011029766872525215,
-0.07690459489822388,
0.07636623829603195,
0.03761177137494087,
0.0907038226723671,
-0.016098152846097946,
0.07124510407447815,
0.014041163958609104,
-0.016940902918577194,
-0.011164008639752865,
-0.022951530292630196,
-0.043538257479667664,
2.8772584408626747e-33,
-0.09640266746282578,
0.01368364691734314,
-0.13228461146354675,
-0.03662046045064926,
-0.020970435813069344,
0.04601200297474861,
0.10413914918899536,
0.05188820883631706,
-0.07536404579877853,
0.06414473801851273,
-0.04806533828377724,
-0.13121281564235687,
0.034068237990140915,
0.028078805655241013,
0.06617722660303116,
0.04163794219493866,
0.0297410786151886,
-0.037655506283044815,
0.07161996513605118,
0.009133968502283096,
0.03655225411057472,
-0.013521315529942513,
0.11742455512285233,
0.0178765170276165,
0.03361208364367485,
-0.056963205337524414,
-0.003557774471119046,
-0.01839667372405529,
0.026808785274624825,
-0.014876335859298706,
-0.024551481008529663,
-0.0010556275956332684,
0.008838380686938763,
-0.04513395205140114,
0.04665783420205116,
0.07971223443746567,
0.03209350258111954,
-0.05868685245513916,
0.010045033879578114,
0.030336081981658936,
0.00792817585170269,
-0.013803988695144653,
-0.018219953402876854,
-0.10297942906618118,
-0.08851765841245651,
0.04967483505606651,
-0.05936333164572716,
0.014329592697322369,
-0.04380730912089348,
0.050490714609622955,
0.04813428968191147,
0.015218202024698257,
-0.029547328129410744,
-0.023476973176002502,
0.07500908523797989,
-0.057804983109235764,
0.036151278764009476,
0.047913338989019394,
0.06212911009788513,
0.11441389471292496,
-0.12315083295106888,
-0.0718219056725502,
-0.008639476262032986,
0.018497029319405556,
-0.0035790838301181793,
0.05447598919272423,
0.036414820700883865,
-0.027918988838791847,
-0.06082332879304886,
0.07904904335737228,
-0.029300449416041374,
-0.059927698224782944,
0.09297008067369461,
0.01734907738864422,
-0.01969512552022934,
0.03899500146508217,
-0.10442901402711868,
-0.07225246727466583,
-0.009033235721290112,
-0.023233136162161827,
-0.04093596711754799,
0.09097566455602646,
0.06198335438966751,
0.04503391310572624,
0.00004233824074617587,
-0.031923118978738785,
-0.07704930007457733,
0.09532301872968674,
0.023221230134367943,
-0.00935395061969757,
0.03390441834926605,
-0.03562966734170914,
0.06289796531200409,
-0.06620832532644272,
-0.0005083977011963725,
-2.833237279450334e-33,
0.020132306963205338,
-0.004466500598937273,
-0.08369436860084534,
0.16734138131141663,
0.02993708662688732,
0.0039008695166558027,
0.025339828804135323,
0.029154323041439056,
0.03797021135687828,
0.004283275920897722,
-0.004343993030488491,
-0.03788071498274803,
0.10319394618272781,
-0.01374044269323349,
0.10509981215000153,
0.027817582711577415,
-0.0963667631149292,
-0.013129238039255142,
0.0341506265103817,
-0.05302513763308525,
-0.028217319399118423,
0.021039165556430817,
0.023041315376758575,
-0.03529203683137894,
0.03683442249894142,
-0.04281814768910408,
-0.06127581372857094,
0.07457347959280014,
0.042139362543821335,
-0.08101741224527359,
-0.02400030754506588,
-0.006883568596094847,
0.08221539855003357,
-0.0021915128454566,
-0.015215866267681122,
-0.01221211813390255,
0.060614731162786484,
-0.026910584419965744,
-0.049344420433044434,
-0.04352165386080742,
0.0680868923664093,
-0.002654437907040119,
0.024563279002904892,
0.009004802443087101,
0.02574796974658966,
-0.06480613350868225,
0.014565604738891125,
0.006825020536780357,
0.007179797627031803,
-0.033850595355033875,
-0.053552187979221344,
-0.04338986799120903,
0.06224782019853592,
0.024204114452004433,
0.09801050275564194,
-0.005329301115125418,
0.012662218883633614,
0.02555709145963192,
0.018817629665136337,
0.022129787132143974,
0.11973008513450623,
-0.03397010639309883,
0.08292553573846817,
0.07352809607982635,
0.0646355003118515,
0.023616308346390724,
0.001935754087753594,
0.009758807718753815,
-0.06163652613759041,
-0.013583003543317318,
0.039462409913539886,
-0.04392789676785469,
0.03918687626719475,
0.018378783017396927,
0.0002202189207309857,
-0.09543543308973312,
-0.004671549890190363,
0.013991760089993477,
0.004137394949793816,
0.0769970566034317,
-0.016991863027215004,
0.005199874751269817,
-0.09827229380607605,
0.053148865699768066,
0.010713770985603333,
-0.038352012634277344,
0.022955138236284256,
-0.03913790360093117,
-0.04497520625591278,
-0.04121003299951553,
-0.07695742696523666,
-0.03722101077437401,
-0.02858082577586174,
0.07606711983680725,
0.028287792578339577,
-4.191624469740418e-8,
-0.00504180695861578,
-0.03006107732653618,
-0.061317555606365204,
0.014734037220478058,
0.03830597549676895,
0.005868490785360336,
-0.008567161858081818,
-0.0438707210123539,
0.013143196702003479,
-0.09027232229709625,
0.08440841734409332,
-0.08496826142072678,
-0.012153871357440948,
0.02714882418513298,
0.07922202348709106,
0.01958211325109005,
-0.011416375637054443,
-0.10021141171455383,
0.03864408656954765,
-0.09238577634096146,
0.031612563878297806,
-0.018476497381925583,
-0.0759141743183136,
0.014414811506867409,
0.06337986141443253,
0.05501910671591759,
-0.003088408149778843,
-0.0021856878884136677,
-0.02165205404162407,
0.05918131396174431,
-0.16134202480316162,
-0.0816841572523117,
0.11576683819293976,
0.02094287797808647,
0.03160625696182251,
-0.023676494136452675,
0.06178845092654228,
0.019434796646237373,
0.12737949192523956,
0.07803592830896378,
0.001648054108954966,
-0.053824156522750854,
0.019438566640019417,
-0.016194980591535568,
-0.012184242717921734,
0.0011681520845741034,
0.016273150220513344,
0.0202832892537117,
-0.05190401151776314,
-0.015683257952332497,
0.004598267842084169,
0.015213542617857456,
0.013464326038956642,
0.031011350452899933,
-0.0026542330160737038,
0.06283251196146011,
-0.013928795233368874,
-0.06981530040502548,
0.055339787155389786,
0.022141147404909134,
-0.0024264873936772346,
-0.00965676549822092,
-0.007653940003365278,
-0.06359467655420303
] | null | null | null | null | null | null | null |
[
-0.045028623193502426,
0.08795348554849625,
0.011422468349337578,
-0.03891664743423462,
0.0047041731886565685,
-0.03725637122988701,
0.03645707666873932,
0.03159404918551445,
0.019824931398034096,
0.013888329267501831,
-0.045333072543144226,
0.04437943547964096,
-0.02292349562048912,
-0.0643732026219368,
0.010249822400510311,
-0.05417056009173393,
0.02931470237672329,
0.04070384427905083,
-0.035202506929636,
-0.09639976173639297,
0.08088027685880661,
-0.06052035093307495,
0.02958141267299652,
-0.058803342282772064,
-0.053846485912799835,
0.09330996870994568,
0.10780894756317139,
0.009853527881205082,
-0.041579678654670715,
-0.03355446085333824,
0.038074083626270294,
-0.07764025777578354,
0.0767182782292366,
0.04157530888915062,
-0.099884033203125,
-0.06011962890625,
0.03169932961463928,
-0.014818940311670303,
0.0044963122345507145,
-0.030231377109885216,
-0.07193788886070251,
-0.032082490622997284,
-0.014851820655167103,
0.014663469046354294,
-0.06483068317174911,
0.056813739240169525,
0.01700209453701973,
0.002819538116455078,
-0.010217178612947464,
-0.014247804880142212,
0.017976723611354828,
0.024700775742530823,
-0.04055140167474747,
0.027139931917190552,
-0.04009821638464928,
0.024335239082574844,
-0.044515423476696014,
0.0040936702862381935,
-0.010370481759309769,
0.0011827368289232254,
0.007318982854485512,
0.011075345799326897,
0.04902305081486702,
0.08358464390039444,
-0.05899113044142723,
0.0039662690833210945,
0.07565468549728394,
-0.023569529876112938,
0.017900463193655014,
-0.014036109670996666,
-0.0024352516047656536,
-0.033361129462718964,
-0.027524007484316826,
0.07686516642570496,
-0.06978928297758102,
-0.018447330221533775,
0.011914758011698723,
-0.028429774567484856,
-0.03961968421936035,
-0.05145050957798958,
0.025735709816217422,
-0.006109446287155151,
0.034492891281843185,
-0.0012720369268208742,
0.018555033951997757,
0.018958166241645813,
-0.07997060567140579,
0.003230348462238908,
-0.025020021945238113,
-0.03599071130156517,
0.06775733828544617,
-0.03217547759413719,
0.029330920428037643,
0.03582992032170296,
0.10918555408716202,
-0.01001341175287962,
-0.01664009690284729,
-0.026947742328047752,
-0.07165686041116714,
-0.038043200969696045,
-0.03922272473573685,
-0.016503021121025085,
0.004337952937930822,
0.029056226834654808,
0.07653958350419998,
0.05525144189596176,
-0.003963318653404713,
-0.03671100735664368,
-0.06772385537624359,
0.06781717389822006,
-0.09497226029634476,
0.05990137159824371,
-0.052907299250364304,
-0.014376589097082615,
0.03707761690020561,
-0.011029766872525215,
-0.07690459489822388,
0.07636623829603195,
0.03761177137494087,
0.0907038226723671,
-0.016098152846097946,
0.07124510407447815,
0.014041163958609104,
-0.016940902918577194,
-0.011164008639752865,
-0.022951530292630196,
-0.043538257479667664,
2.8772584408626747e-33,
-0.09640266746282578,
0.01368364691734314,
-0.13228461146354675,
-0.03662046045064926,
-0.020970435813069344,
0.04601200297474861,
0.10413914918899536,
0.05188820883631706,
-0.07536404579877853,
0.06414473801851273,
-0.04806533828377724,
-0.13121281564235687,
0.034068237990140915,
0.028078805655241013,
0.06617722660303116,
0.04163794219493866,
0.0297410786151886,
-0.037655506283044815,
0.07161996513605118,
0.009133968502283096,
0.03655225411057472,
-0.013521315529942513,
0.11742455512285233,
0.0178765170276165,
0.03361208364367485,
-0.056963205337524414,
-0.003557774471119046,
-0.01839667372405529,
0.026808785274624825,
-0.014876335859298706,
-0.024551481008529663,
-0.0010556275956332684,
0.008838380686938763,
-0.04513395205140114,
0.04665783420205116,
0.07971223443746567,
0.03209350258111954,
-0.05868685245513916,
0.010045033879578114,
0.030336081981658936,
0.00792817585170269,
-0.013803988695144653,
-0.018219953402876854,
-0.10297942906618118,
-0.08851765841245651,
0.04967483505606651,
-0.05936333164572716,
0.014329592697322369,
-0.04380730912089348,
0.050490714609622955,
0.04813428968191147,
0.015218202024698257,
-0.029547328129410744,
-0.023476973176002502,
0.07500908523797989,
-0.057804983109235764,
0.036151278764009476,
0.047913338989019394,
0.06212911009788513,
0.11441389471292496,
-0.12315083295106888,
-0.0718219056725502,
-0.008639476262032986,
0.018497029319405556,
-0.0035790838301181793,
0.05447598919272423,
0.036414820700883865,
-0.027918988838791847,
-0.06082332879304886,
0.07904904335737228,
-0.029300449416041374,
-0.059927698224782944,
0.09297008067369461,
0.01734907738864422,
-0.01969512552022934,
0.03899500146508217,
-0.10442901402711868,
-0.07225246727466583,
-0.009033235721290112,
-0.023233136162161827,
-0.04093596711754799,
0.09097566455602646,
0.06198335438966751,
0.04503391310572624,
0.00004233824074617587,
-0.031923118978738785,
-0.07704930007457733,
0.09532301872968674,
0.023221230134367943,
-0.00935395061969757,
0.03390441834926605,
-0.03562966734170914,
0.06289796531200409,
-0.06620832532644272,
-0.0005083977011963725,
-2.833237279450334e-33,
0.020132306963205338,
-0.004466500598937273,
-0.08369436860084534,
0.16734138131141663,
0.02993708662688732,
0.0039008695166558027,
0.025339828804135323,
0.029154323041439056,
0.03797021135687828,
0.004283275920897722,
-0.004343993030488491,
-0.03788071498274803,
0.10319394618272781,
-0.01374044269323349,
0.10509981215000153,
0.027817582711577415,
-0.0963667631149292,
-0.013129238039255142,
0.0341506265103817,
-0.05302513763308525,
-0.028217319399118423,
0.021039165556430817,
0.023041315376758575,
-0.03529203683137894,
0.03683442249894142,
-0.04281814768910408,
-0.06127581372857094,
0.07457347959280014,
0.042139362543821335,
-0.08101741224527359,
-0.02400030754506588,
-0.006883568596094847,
0.08221539855003357,
-0.0021915128454566,
-0.015215866267681122,
-0.01221211813390255,
0.060614731162786484,
-0.026910584419965744,
-0.049344420433044434,
-0.04352165386080742,
0.0680868923664093,
-0.002654437907040119,
0.024563279002904892,
0.009004802443087101,
0.02574796974658966,
-0.06480613350868225,
0.014565604738891125,
0.006825020536780357,
0.007179797627031803,
-0.033850595355033875,
-0.053552187979221344,
-0.04338986799120903,
0.06224782019853592,
0.024204114452004433,
0.09801050275564194,
-0.005329301115125418,
0.012662218883633614,
0.02555709145963192,
0.018817629665136337,
0.022129787132143974,
0.11973008513450623,
-0.03397010639309883,
0.08292553573846817,
0.07352809607982635,
0.0646355003118515,
0.023616308346390724,
0.001935754087753594,
0.009758807718753815,
-0.06163652613759041,
-0.013583003543317318,
0.039462409913539886,
-0.04392789676785469,
0.03918687626719475,
0.018378783017396927,
0.0002202189207309857,
-0.09543543308973312,
-0.004671549890190363,
0.013991760089993477,
0.004137394949793816,
0.0769970566034317,
-0.016991863027215004,
0.005199874751269817,
-0.09827229380607605,
0.053148865699768066,
0.010713770985603333,
-0.038352012634277344,
0.022955138236284256,
-0.03913790360093117,
-0.04497520625591278,
-0.04121003299951553,
-0.07695742696523666,
-0.03722101077437401,
-0.02858082577586174,
0.07606711983680725,
0.028287792578339577,
-4.191624469740418e-8,
-0.00504180695861578,
-0.03006107732653618,
-0.061317555606365204,
0.014734037220478058,
0.03830597549676895,
0.005868490785360336,
-0.008567161858081818,
-0.0438707210123539,
0.013143196702003479,
-0.09027232229709625,
0.08440841734409332,
-0.08496826142072678,
-0.012153871357440948,
0.02714882418513298,
0.07922202348709106,
0.01958211325109005,
-0.011416375637054443,
-0.10021141171455383,
0.03864408656954765,
-0.09238577634096146,
0.031612563878297806,
-0.018476497381925583,
-0.0759141743183136,
0.014414811506867409,
0.06337986141443253,
0.05501910671591759,
-0.003088408149778843,
-0.0021856878884136677,
-0.02165205404162407,
0.05918131396174431,
-0.16134202480316162,
-0.0816841572523117,
0.11576683819293976,
0.02094287797808647,
0.03160625696182251,
-0.023676494136452675,
0.06178845092654228,
0.019434796646237373,
0.12737949192523956,
0.07803592830896378,
0.001648054108954966,
-0.053824156522750854,
0.019438566640019417,
-0.016194980591535568,
-0.012184242717921734,
0.0011681520845741034,
0.016273150220513344,
0.0202832892537117,
-0.05190401151776314,
-0.015683257952332497,
0.004598267842084169,
0.015213542617857456,
0.013464326038956642,
0.031011350452899933,
-0.0026542330160737038,
0.06283251196146011,
-0.013928795233368874,
-0.06981530040502548,
0.055339787155389786,
0.022141147404909134,
-0.0024264873936772346,
-0.00965676549822092,
-0.007653940003365278,
-0.06359467655420303
] |
1401.6376
|
Jie Chen
|
Jie Chen and Jos\'e Carlos M. Bermudez and C\'edric Richard
|
Steady-state performance of non-negative least-mean-square algorithm and
its variants
|
10 pages, 4 figures
| null |
10.1109/LSP.2014.2320944
| null |
cs.LG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Non-negative least-mean-square (NNLMS) algorithm and its variants have been
proposed for online estimation under non-negativity constraints. The transient
behavior of the NNLMS, Normalized NNLMS, Exponential NNLMS and Sign-Sign NNLMS
algorithms have been studied in our previous work. In this technical report, we
derive closed-form expressions for the steady-state excess mean-square error
(EMSE) for the four algorithms. Simulations results illustrate the accuracy of
the theoretical results. This is a complementary material to our previous work.
|
[
{
"created": "Fri, 24 Jan 2014 15:36:09 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Chen",
"Jie",
""
],
[
"Bermudez",
"José Carlos M.",
""
],
[
"Richard",
"Cédric",
""
]
] |
[
-0.007165468763560057,
-0.004323776811361313,
0.05512779578566551,
0.04887957498431206,
-0.04241667687892914,
-0.03787345439195633,
-0.046366218477487564,
-0.0014827479608356953,
0.08506985008716583,
0.009547433815896511,
0.027027146890759468,
0.024565309286117554,
0.11677535623311996,
-0.01932649500668049,
-0.06792128086090088,
-0.04507705569267273,
0.04083801433444023,
0.007734622806310654,
0.05631239339709282,
-0.034801192581653595,
0.02139071747660637,
0.06794533878564835,
-0.003647410776466131,
-0.03799302130937576,
0.10326136648654938,
-0.06313725560903549,
0.0023202088195830584,
0.014146586880087852,
0.06845903396606445,
-0.0394800640642643,
-0.06588142365217209,
0.035450685769319534,
0.06321839988231659,
-0.002006160095334053,
-0.03978533297777176,
-0.057597290724515915,
-0.034428276121616364,
0.002401558216661215,
-0.06505563110113144,
0.069894939661026,
-0.03832623362541199,
0.030520478263497353,
-0.015787839889526367,
-0.020560726523399353,
0.03939293697476387,
0.029149817302823067,
0.01029868796467781,
-0.0358256958425045,
-0.014391445554792881,
0.03215097635984421,
0.019671540707349777,
0.02940959669649601,
-0.044526729732751846,
-0.004507333040237427,
0.024944918230175972,
-0.045664962381124496,
0.01984114572405815,
-0.041005369275808334,
0.025189515203237534,
0.09903603047132492,
0.04325773939490318,
-0.06639529764652252,
0.05916789546608925,
-0.04779516160488129,
-0.008431578986346722,
0.09828711301088333,
0.013815767131745815,
0.061121873557567596,
-0.03162128105759621,
0.13227297365665436,
-0.060606684535741806,
-0.015771102160215378,
-0.0429694727063179,
-0.04293729364871979,
-0.0503789484500885,
-0.06196160987019539,
0.04006052017211914,
0.054379902780056,
0.04125789552927017,
0.04583042487502098,
0.010206274688243866,
-0.05183815583586693,
-0.0026230544317513704,
-0.054024919867515564,
0.0909862220287323,
-0.011655840091407299,
-0.06282888352870941,
0.02693743072450161,
0.1124781146645546,
0.0053250957280397415,
-0.047231193631887436,
-0.01056450605392456,
-0.0763886347413063,
0.006018359679728746,
0.03186431899666786,
-0.08110541105270386,
0.017878375947475433,
0.04084732383489609,
-0.022405045107007027,
0.06775849312543869,
-0.003898174734786153,
0.12166715413331985,
0.007894005626440048,
-0.05455043911933899,
0.011537239886820316,
-0.05418635159730911,
0.07443218678236008,
0.03824523463845253,
0.07495635002851486,
-0.02746226079761982,
-0.03289400041103363,
0.00847210269421339,
0.034676652401685715,
-0.013414416462182999,
-0.005650413688272238,
0.010216266848146915,
0.07403958588838577,
-0.018976222723722458,
0.04398180544376373,
-0.025533949956297874,
-0.06318675726652145,
-0.08245298266410828,
0.02326349727809429,
0.033629342913627625,
0.029817083850502968,
0.12971153855323792,
-0.01833401434123516,
5.990220488632007e-34,
-0.0265354011207819,
0.03208426013588905,
0.0239931158721447,
-0.10386228561401367,
-0.01747138611972332,
0.07109152525663376,
0.002160274423658848,
-0.00712902145460248,
0.019464459270238876,
0.046855900436639786,
0.06331760436296463,
0.03848690912127495,
-0.045414652675390244,
-0.023288656026124954,
0.040212444961071014,
-0.008295836858451366,
0.06660640239715576,
-0.009392372332513332,
0.04877009615302086,
0.0027958895079791546,
0.009095498360693455,
-0.060863811522722244,
-0.006716331001371145,
-0.03968579322099686,
-0.040907349437475204,
-0.021225396543741226,
-0.005545962136238813,
-0.0176682285964489,
0.04996012523770332,
-0.057211119681596756,
0.02724512852728367,
0.029843855649232864,
0.009320142678916454,
-0.07960819453001022,
0.07464144378900528,
-0.09727941453456879,
-0.042903415858745575,
0.030644716694951057,
-0.02094014547765255,
-0.008948813192546368,
-0.05528195574879646,
0.09800219535827637,
0.0014546648599207401,
-0.1562773585319519,
-0.05871114134788513,
-0.03879696875810623,
0.030770761892199516,
-0.01117364875972271,
0.043416690081357956,
-0.004257665015757084,
-0.05872242897748947,
0.03763720020651817,
-0.0918235182762146,
0.08892723172903061,
0.025358395650982857,
0.00964321568608284,
-0.08421622961759567,
0.06576413661241531,
-0.02972610481083393,
0.020815521478652954,
-0.03721467778086662,
-0.04083073511719704,
0.05176311358809471,
-0.13006694614887238,
0.03811614587903023,
0.14248235523700714,
-0.06806483119726181,
0.040347397327423096,
0.027964476495981216,
-0.015439603477716446,
0.10886300355195999,
-0.0036448179744184017,
0.0024917132686823606,
-0.00484449602663517,
0.007200513035058975,
-0.05236858129501343,
-0.002063049701973796,
0.011130457744002342,
0.041250478476285934,
-0.020858757197856903,
0.05193191394209862,
0.01931956224143505,
-0.027978789061307907,
-0.06394345313310623,
0.024737082421779633,
-0.06717336177825928,
-0.02289549633860588,
-0.0009570777183398604,
-0.06559505313634872,
-0.014904574491083622,
-0.0919676348567009,
0.037871185690164566,
-0.02912304177880287,
0.0867854505777359,
-0.039249882102012634,
-6.162915302447187e-34,
-0.051087841391563416,
0.05303852632641792,
-0.017569905146956444,
-0.0014000625815242529,
0.0014347316464409232,
-0.07969014346599579,
-0.030646562576293945,
0.011248121969401836,
0.016626641154289246,
-0.0019332648953422904,
0.030973907560110092,
-0.011768696829676628,
-0.09365231543779373,
-0.005336100701242685,
0.08423107862472534,
-0.003125287825241685,
0.004334721248596907,
0.059099290519952774,
0.060335673391819,
-0.08278660476207733,
-0.034620724618434906,
-0.013748320750892162,
-0.01839371584355831,
0.04205340892076492,
0.018736757338047028,
0.06923533976078033,
-0.04919682815670967,
0.09517695754766464,
-0.12230955064296722,
-0.06960553675889969,
-0.007976498454809189,
0.0613410659134388,
-0.05408743768930435,
0.0658578872680664,
-0.03132409602403641,
-0.011821417137980461,
-0.01365040522068739,
0.0914047360420227,
0.01929243840277195,
-0.0026875552721321583,
0.0670672282576561,
0.08826648443937302,
0.06819355487823486,
-0.02355434186756611,
0.023783957585692406,
0.022633839398622513,
-0.08110050112009048,
0.06021624058485031,
0.058255843818187714,
-0.011008488945662975,
-0.04965824633836746,
-0.020422805100679398,
-0.06290334463119507,
0.042387671768665314,
-0.04207669198513031,
0.04460809752345085,
-0.06029212474822998,
0.041122566908597946,
0.054994985461235046,
0.010131241753697395,
-0.03987009450793266,
-0.05357130989432335,
-0.08396016061306,
-0.028305768966674805,
-0.04926890879869461,
-0.0283957552164793,
0.07898469269275665,
0.05090809985995293,
-0.03978341817855835,
0.022291868925094604,
-0.06573329865932465,
0.0837712436914444,
-0.007636820897459984,
-0.021920569241046906,
-0.04690399765968323,
-0.03206747770309448,
-0.010061383247375488,
-0.01872972398996353,
0.0334746316075325,
-0.12214260548353195,
0.0039031794294714928,
0.061440516263246536,
-0.00444837985560298,
-0.04376594349741936,
0.01857641525566578,
-0.013993078842759132,
0.04120369255542755,
-0.007493637036532164,
-0.006946838926523924,
0.010707402601838112,
0.008797278627753258,
0.046938419342041016,
-0.0024653871078044176,
-0.03630842640995979,
0.006617799401283264,
-4.724428492863808e-8,
-0.07457210123538971,
-0.058875177055597305,
0.007751798257231712,
-0.07092690467834473,
0.10280090570449829,
0.0070890095084905624,
0.05123848095536232,
-0.018122119829058647,
-0.032080620527267456,
-0.09129280596971512,
0.05962245166301727,
-0.042456433176994324,
-0.0756974071264267,
-0.052971016615629196,
-0.08404907584190369,
0.010594023391604424,
-0.002051775576546788,
-0.031506676226854324,
0.021595807746052742,
0.0062950970605015755,
0.005535909906029701,
0.0024287907872349024,
0.013861063867807388,
0.029197724536061287,
0.055290400981903076,
-0.017865406349301338,
0.08098693937063217,
0.10783490538597107,
0.021163415163755417,
-0.006716430187225342,
-0.03167320042848587,
0.05308593437075615,
0.10563378781080246,
0.018835199996829033,
0.04426669329404831,
-0.0367782786488533,
0.04463084414601326,
0.02275617979466915,
-0.04111212119460106,
-0.0068181962706148624,
-0.04184533655643463,
0.04475202411413193,
0.02609236165881157,
-0.06273025274276733,
0.06944063305854797,
0.0268233809620142,
0.025926290079951286,
-0.09469760209321976,
-0.008022675290703773,
-0.09784895926713943,
0.08827385306358337,
0.011725437827408314,
0.056180186569690704,
0.10546944290399551,
0.01604999043047428,
-0.07700832933187485,
0.025949398055672646,
0.0015028875786811113,
0.05211983621120453,
0.07628431916236877,
0.041993070393800735,
-0.0548425167798996,
-0.06323784589767456,
0.0005395455518737435
] | null | null | null | null | null | null | null |
[
-0.007165468763560057,
-0.004323776811361313,
0.05512779578566551,
0.04887957498431206,
-0.04241667687892914,
-0.03787345439195633,
-0.046366218477487564,
-0.0014827479608356953,
0.08506985008716583,
0.009547433815896511,
0.027027146890759468,
0.024565309286117554,
0.11677535623311996,
-0.01932649500668049,
-0.06792128086090088,
-0.04507705569267273,
0.04083801433444023,
0.007734622806310654,
0.05631239339709282,
-0.034801192581653595,
0.02139071747660637,
0.06794533878564835,
-0.003647410776466131,
-0.03799302130937576,
0.10326136648654938,
-0.06313725560903549,
0.0023202088195830584,
0.014146586880087852,
0.06845903396606445,
-0.0394800640642643,
-0.06588142365217209,
0.035450685769319534,
0.06321839988231659,
-0.002006160095334053,
-0.03978533297777176,
-0.057597290724515915,
-0.034428276121616364,
0.002401558216661215,
-0.06505563110113144,
0.069894939661026,
-0.03832623362541199,
0.030520478263497353,
-0.015787839889526367,
-0.020560726523399353,
0.03939293697476387,
0.029149817302823067,
0.01029868796467781,
-0.0358256958425045,
-0.014391445554792881,
0.03215097635984421,
0.019671540707349777,
0.02940959669649601,
-0.044526729732751846,
-0.004507333040237427,
0.024944918230175972,
-0.045664962381124496,
0.01984114572405815,
-0.041005369275808334,
0.025189515203237534,
0.09903603047132492,
0.04325773939490318,
-0.06639529764652252,
0.05916789546608925,
-0.04779516160488129,
-0.008431578986346722,
0.09828711301088333,
0.013815767131745815,
0.061121873557567596,
-0.03162128105759621,
0.13227297365665436,
-0.060606684535741806,
-0.015771102160215378,
-0.0429694727063179,
-0.04293729364871979,
-0.0503789484500885,
-0.06196160987019539,
0.04006052017211914,
0.054379902780056,
0.04125789552927017,
0.04583042487502098,
0.010206274688243866,
-0.05183815583586693,
-0.0026230544317513704,
-0.054024919867515564,
0.0909862220287323,
-0.011655840091407299,
-0.06282888352870941,
0.02693743072450161,
0.1124781146645546,
0.0053250957280397415,
-0.047231193631887436,
-0.01056450605392456,
-0.0763886347413063,
0.006018359679728746,
0.03186431899666786,
-0.08110541105270386,
0.017878375947475433,
0.04084732383489609,
-0.022405045107007027,
0.06775849312543869,
-0.003898174734786153,
0.12166715413331985,
0.007894005626440048,
-0.05455043911933899,
0.011537239886820316,
-0.05418635159730911,
0.07443218678236008,
0.03824523463845253,
0.07495635002851486,
-0.02746226079761982,
-0.03289400041103363,
0.00847210269421339,
0.034676652401685715,
-0.013414416462182999,
-0.005650413688272238,
0.010216266848146915,
0.07403958588838577,
-0.018976222723722458,
0.04398180544376373,
-0.025533949956297874,
-0.06318675726652145,
-0.08245298266410828,
0.02326349727809429,
0.033629342913627625,
0.029817083850502968,
0.12971153855323792,
-0.01833401434123516,
5.990220488632007e-34,
-0.0265354011207819,
0.03208426013588905,
0.0239931158721447,
-0.10386228561401367,
-0.01747138611972332,
0.07109152525663376,
0.002160274423658848,
-0.00712902145460248,
0.019464459270238876,
0.046855900436639786,
0.06331760436296463,
0.03848690912127495,
-0.045414652675390244,
-0.023288656026124954,
0.040212444961071014,
-0.008295836858451366,
0.06660640239715576,
-0.009392372332513332,
0.04877009615302086,
0.0027958895079791546,
0.009095498360693455,
-0.060863811522722244,
-0.006716331001371145,
-0.03968579322099686,
-0.040907349437475204,
-0.021225396543741226,
-0.005545962136238813,
-0.0176682285964489,
0.04996012523770332,
-0.057211119681596756,
0.02724512852728367,
0.029843855649232864,
0.009320142678916454,
-0.07960819453001022,
0.07464144378900528,
-0.09727941453456879,
-0.042903415858745575,
0.030644716694951057,
-0.02094014547765255,
-0.008948813192546368,
-0.05528195574879646,
0.09800219535827637,
0.0014546648599207401,
-0.1562773585319519,
-0.05871114134788513,
-0.03879696875810623,
0.030770761892199516,
-0.01117364875972271,
0.043416690081357956,
-0.004257665015757084,
-0.05872242897748947,
0.03763720020651817,
-0.0918235182762146,
0.08892723172903061,
0.025358395650982857,
0.00964321568608284,
-0.08421622961759567,
0.06576413661241531,
-0.02972610481083393,
0.020815521478652954,
-0.03721467778086662,
-0.04083073511719704,
0.05176311358809471,
-0.13006694614887238,
0.03811614587903023,
0.14248235523700714,
-0.06806483119726181,
0.040347397327423096,
0.027964476495981216,
-0.015439603477716446,
0.10886300355195999,
-0.0036448179744184017,
0.0024917132686823606,
-0.00484449602663517,
0.007200513035058975,
-0.05236858129501343,
-0.002063049701973796,
0.011130457744002342,
0.041250478476285934,
-0.020858757197856903,
0.05193191394209862,
0.01931956224143505,
-0.027978789061307907,
-0.06394345313310623,
0.024737082421779633,
-0.06717336177825928,
-0.02289549633860588,
-0.0009570777183398604,
-0.06559505313634872,
-0.014904574491083622,
-0.0919676348567009,
0.037871185690164566,
-0.02912304177880287,
0.0867854505777359,
-0.039249882102012634,
-6.162915302447187e-34,
-0.051087841391563416,
0.05303852632641792,
-0.017569905146956444,
-0.0014000625815242529,
0.0014347316464409232,
-0.07969014346599579,
-0.030646562576293945,
0.011248121969401836,
0.016626641154289246,
-0.0019332648953422904,
0.030973907560110092,
-0.011768696829676628,
-0.09365231543779373,
-0.005336100701242685,
0.08423107862472534,
-0.003125287825241685,
0.004334721248596907,
0.059099290519952774,
0.060335673391819,
-0.08278660476207733,
-0.034620724618434906,
-0.013748320750892162,
-0.01839371584355831,
0.04205340892076492,
0.018736757338047028,
0.06923533976078033,
-0.04919682815670967,
0.09517695754766464,
-0.12230955064296722,
-0.06960553675889969,
-0.007976498454809189,
0.0613410659134388,
-0.05408743768930435,
0.0658578872680664,
-0.03132409602403641,
-0.011821417137980461,
-0.01365040522068739,
0.0914047360420227,
0.01929243840277195,
-0.0026875552721321583,
0.0670672282576561,
0.08826648443937302,
0.06819355487823486,
-0.02355434186756611,
0.023783957585692406,
0.022633839398622513,
-0.08110050112009048,
0.06021624058485031,
0.058255843818187714,
-0.011008488945662975,
-0.04965824633836746,
-0.020422805100679398,
-0.06290334463119507,
0.042387671768665314,
-0.04207669198513031,
0.04460809752345085,
-0.06029212474822998,
0.041122566908597946,
0.054994985461235046,
0.010131241753697395,
-0.03987009450793266,
-0.05357130989432335,
-0.08396016061306,
-0.028305768966674805,
-0.04926890879869461,
-0.0283957552164793,
0.07898469269275665,
0.05090809985995293,
-0.03978341817855835,
0.022291868925094604,
-0.06573329865932465,
0.0837712436914444,
-0.007636820897459984,
-0.021920569241046906,
-0.04690399765968323,
-0.03206747770309448,
-0.010061383247375488,
-0.01872972398996353,
0.0334746316075325,
-0.12214260548353195,
0.0039031794294714928,
0.061440516263246536,
-0.00444837985560298,
-0.04376594349741936,
0.01857641525566578,
-0.013993078842759132,
0.04120369255542755,
-0.007493637036532164,
-0.006946838926523924,
0.010707402601838112,
0.008797278627753258,
0.046938419342041016,
-0.0024653871078044176,
-0.03630842640995979,
0.006617799401283264,
-4.724428492863808e-8,
-0.07457210123538971,
-0.058875177055597305,
0.007751798257231712,
-0.07092690467834473,
0.10280090570449829,
0.0070890095084905624,
0.05123848095536232,
-0.018122119829058647,
-0.032080620527267456,
-0.09129280596971512,
0.05962245166301727,
-0.042456433176994324,
-0.0756974071264267,
-0.052971016615629196,
-0.08404907584190369,
0.010594023391604424,
-0.002051775576546788,
-0.031506676226854324,
0.021595807746052742,
0.0062950970605015755,
0.005535909906029701,
0.0024287907872349024,
0.013861063867807388,
0.029197724536061287,
0.055290400981903076,
-0.017865406349301338,
0.08098693937063217,
0.10783490538597107,
0.021163415163755417,
-0.006716430187225342,
-0.03167320042848587,
0.05308593437075615,
0.10563378781080246,
0.018835199996829033,
0.04426669329404831,
-0.0367782786488533,
0.04463084414601326,
0.02275617979466915,
-0.04111212119460106,
-0.0068181962706148624,
-0.04184533655643463,
0.04475202411413193,
0.02609236165881157,
-0.06273025274276733,
0.06944063305854797,
0.0268233809620142,
0.025926290079951286,
-0.09469760209321976,
-0.008022675290703773,
-0.09784895926713943,
0.08827385306358337,
0.011725437827408314,
0.056180186569690704,
0.10546944290399551,
0.01604999043047428,
-0.07700832933187485,
0.025949398055672646,
0.0015028875786811113,
0.05211983621120453,
0.07628431916236877,
0.041993070393800735,
-0.0548425167798996,
-0.06323784589767456,
0.0005395455518737435
] |
1401.6380
|
Francesco Caltagirone
|
Francesco Caltagirone and Lenka Zdeborov\'a
|
Properties of spatial coupling in compressed sensing
|
5 pages, 6 figures
| null | null | null |
cs.IT cond-mat.stat-mech math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we address a series of open questions about the construction of
spatially coupled measurement matrices in compressed sensing. For hardware
implementations one is forced to depart from the limiting regime of parameters
in which the proofs of the so-called threshold saturation work. We investigate
quantitatively the behavior under finite coupling range, the dependence on the
shape of the coupling interaction, and optimization of the so-called seed to
minimize distance from optimality. Our analysis explains some of the properties
observed empirically in previous works and provides new insight on spatially
coupled compressed sensing.
|
[
{
"created": "Fri, 24 Jan 2014 15:41:58 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Caltagirone",
"Francesco",
""
],
[
"Zdeborová",
"Lenka",
""
]
] |
[
-0.029553456231951714,
0.026371287181973457,
-0.06341776251792908,
0.03520242124795914,
-0.056788500398397446,
-0.03400282934308052,
0.027226392179727554,
-0.08885166794061661,
0.043099671602249146,
-0.024094434455037117,
-0.04292527586221695,
0.10421959310770035,
0.03119436837732792,
0.01158780325204134,
-0.020948609337210655,
-0.059348806738853455,
0.059454672038555145,
0.04568145051598549,
-0.05537084490060806,
-0.008122709579765797,
0.04559782147407532,
-0.053091153502464294,
-0.06354017555713654,
0.03513670340180397,
0.06945157796144485,
-0.0503123514354229,
0.06600921601057053,
-0.051505137234926224,
0.01256552990525961,
0.08048824965953827,
-0.007903375662863255,
-0.006357638631016016,
0.02650507539510727,
-0.02892482839524746,
0.020686021074652672,
0.013803351670503616,
0.054500095546245575,
-0.032672613859176636,
-0.03129873797297478,
-0.006207396741956472,
-0.001821571378968656,
0.06459013372659683,
0.01654442399740219,
0.08941372483968735,
-0.07520604878664017,
-0.00568487448617816,
0.03764181211590767,
-0.006796305999159813,
-0.08280748128890991,
-0.06617478281259537,
-0.08082490414381027,
0.07601772248744965,
0.010320162400603294,
-0.061433371156454086,
-0.021344605833292007,
-0.03963174670934677,
-0.005877877585589886,
0.02642958052456379,
-0.04681439697742462,
-0.012318180873990059,
0.008562492206692696,
-0.04405784234404564,
-0.062248844653367996,
0.03276165947318077,
0.03311091661453247,
0.02804923802614212,
0.11321727186441422,
0.01225349586457014,
0.05220871418714523,
0.05319659039378166,
-0.06595558673143387,
0.0026250402443110943,
0.03627859055995941,
-0.03342999145388603,
0.04042695835232735,
0.01656046323478222,
-0.04922206699848175,
-0.00333416392095387,
0.06338675320148468,
-0.051694948226213455,
-0.0066664149053394794,
-0.006861735600978136,
-0.09834828972816467,
-0.017758099362254143,
-0.06158588454127312,
-0.055871542543172836,
-0.04517674818634987,
0.007522393949329853,
0.043619170784950256,
-0.10550485551357269,
0.011858544312417507,
-0.004087668377906084,
-0.1258559376001358,
0.04672452062368393,
-0.048879023641347885,
-0.09899835288524628,
0.08709824830293655,
0.003159916726872325,
0.0009668980492278934,
0.06221446394920349,
-0.013514094054698944,
-0.012546364217996597,
-0.022297319024801254,
0.06649065017700195,
-0.01364712044596672,
-0.04401151463389397,
-0.01647966355085373,
-0.011885924264788628,
-0.0215216763317585,
0.054372940212488174,
0.07125113159418106,
-0.033814430236816406,
0.04515582695603371,
0.05503984913229942,
-0.004916382022202015,
-0.0005250016110949218,
0.06684386730194092,
0.09141796827316284,
0.00471321539953351,
-0.012296682223677635,
-0.08138895034790039,
-0.11746782809495926,
-0.06354815512895584,
-0.011963888071477413,
0.03711780533194542,
0.08534223586320877,
-0.047665614634752274,
6.7001786689103594e-34,
0.035091228783130646,
0.05702221393585205,
0.023533692583441734,
0.009084497578442097,
-0.05789012834429741,
0.006345150526612997,
0.05769892781972885,
-0.024100827053189278,
0.01090838760137558,
0.08343204110860825,
-0.019254382699728012,
0.10831430554389954,
-0.011816310696303844,
0.08986769616603851,
0.048291467130184174,
-0.026005655527114868,
0.028901943936944008,
0.09039726108312607,
-0.020190026611089706,
-0.04495462775230408,
-0.0032056483905762434,
0.011079994030296803,
-0.025380901992321014,
-0.030036745592951775,
-0.03957875072956085,
-0.07778085023164749,
-0.008283055387437344,
0.013632280752062798,
-0.056476593017578125,
0.0011609029024839401,
-0.07971154153347015,
0.021051572635769844,
0.05359664186835289,
0.008847719058394432,
0.04782961681485176,
-0.012204336933791637,
0.037240732461214066,
0.02757580205798149,
-0.048514027148485184,
-0.019974276423454285,
0.06833259761333466,
0.016312502324581146,
0.08871570974588394,
-0.06867921352386475,
-0.03636696934700012,
-0.0997205525636673,
-0.011594271287322044,
0.026605753228068352,
0.037384726107120514,
-0.01722417026758194,
0.02855035848915577,
-0.034253302961587906,
-0.03920511528849602,
0.061696119606494904,
0.07360020279884338,
-0.0916363075375557,
0.020672863349318504,
-0.0697263777256012,
0.049217529594898224,
0.11408974230289459,
-0.019822079688310623,
-0.07989998906850815,
0.06217535585165024,
-0.055307935923337936,
0.11670413613319397,
0.059042610228061676,
0.00098872696980834,
0.01791975274682045,
0.007862496189773083,
0.013160482048988342,
0.02475094050168991,
0.05019526556134224,
-0.04540322721004486,
-0.07002440094947815,
0.06342217326164246,
-0.009031607769429684,
0.09433344006538391,
-0.002529897727072239,
0.014579200185835361,
-0.07083127647638321,
-0.045226894319057465,
-0.008615808561444283,
-0.03092440962791443,
0.026491116732358932,
-0.1032908707857132,
0.06400897353887558,
-0.06359456479549408,
-0.044804662466049194,
-0.10992436856031418,
-0.02854767255485058,
-0.05058866739273071,
-0.0048731062561273575,
0.03527333587408066,
-0.055942997336387634,
0.024450527504086494,
-1.4261662252477364e-33,
0.027689417824149132,
-0.00038539088563993573,
0.06081494316458702,
-0.0027698813937604427,
-0.045023951679468155,
-0.05421128123998642,
-0.0215696282684803,
0.006298461928963661,
-0.046779993921518326,
0.001745940069667995,
-0.02733440510928631,
-0.0534643679857254,
0.054598551243543625,
0.08737806230783463,
-0.008647111244499683,
0.11645776778459549,
0.04204129800200462,
-0.09677553921937943,
0.01537418644875288,
-0.03736637532711029,
0.073198102414608,
0.00419009942561388,
0.0516156442463398,
-0.02086891233921051,
0.020852413028478622,
-0.007261573802679777,
-0.008521690033376217,
0.10851957648992538,
0.03369304910302162,
0.007317620329558849,
-0.04085671901702881,
-0.028528189286589622,
-0.0716104507446289,
-0.023299966007471085,
-0.009792406111955643,
0.0370011180639267,
0.011405392549932003,
0.018053144216537476,
-0.02583412267267704,
-0.008242139592766762,
0.0029478142969310284,
0.07596683502197266,
-0.05801789090037346,
0.07550505548715591,
0.0825391560792923,
-0.09247590601444244,
0.04749481752514839,
0.009021297097206116,
-0.05216505005955696,
-0.0380738265812397,
0.001564406557008624,
0.08365398645401001,
-0.018401850014925003,
0.07331399619579315,
-0.02143060974776745,
0.055602360516786575,
-0.07303058356046677,
0.06355823576450348,
0.043676480650901794,
0.0034714846406131983,
0.03668104484677315,
-0.07300326973199844,
-0.055653564631938934,
0.026435477659106255,
0.02735236845910549,
0.05922900512814522,
0.1122199147939682,
0.04552250728011131,
0.018001170828938484,
0.11546997725963593,
-0.005323297344148159,
-0.018875660374760628,
0.12761004269123077,
0.0007313598180189729,
0.05636825039982796,
0.012321654707193375,
0.023203913122415543,
-0.03478862717747688,
-0.011287636123597622,
0.02893771603703499,
0.019251972436904907,
0.054307471960783005,
-0.0030548993963748217,
0.004501044750213623,
0.04200403019785881,
0.03546692058444023,
-0.048653289675712585,
-0.02432512305676937,
0.029877441003918648,
0.028046462684869766,
0.04251454025506973,
-0.011423992924392223,
0.04825591295957565,
-0.023193271830677986,
-0.027347160503268242,
-4.911168716148495e-8,
-0.08514710515737534,
0.026998193934559822,
-0.05434366315603256,
-0.0314425528049469,
0.018927643075585365,
-0.04252731427550316,
0.028430113568902016,
0.003773670643568039,
0.028594905510544777,
-0.03647904470562935,
0.05718318000435829,
-0.07683471590280533,
-0.08210592716932297,
0.03005325049161911,
-0.004466640762984753,
-0.03407234698534012,
-0.031082425266504288,
-0.044178858399391174,
-0.049543969333171844,
0.04405844956636429,
-0.06870167702436447,
0.005710225086659193,
-0.01246838178485632,
0.052544284611940384,
0.06128356605768204,
-0.031430475413799286,
0.005851333495229483,
0.02130570262670517,
0.1117517277598381,
0.0235421322286129,
-0.030117152258753777,
-0.0069793411530554295,
0.08897841721773148,
0.010954979807138443,
-0.060417938977479935,
0.08428420126438141,
-0.028881540521979332,
0.0533939003944397,
-0.03642146289348602,
-0.13686226308345795,
-0.08937016129493713,
-0.038976043462753296,
-0.06004871055483818,
0.026388144120573997,
0.027209533378481865,
0.026654016226530075,
0.04162975028157234,
0.028988957405090332,
-0.023860977962613106,
-0.021597212180495262,
-0.08381301909685135,
0.05189036205410957,
-0.023745553568005562,
-0.055243149399757385,
-0.02037036418914795,
-0.07053711265325546,
-0.03216882050037384,
0.014586105942726135,
0.06489124149084091,
0.06141028553247452,
-0.006221098825335503,
0.027745645493268967,
-0.1288641393184662,
0.010280645452439785
] | null | null | null | null | null | null | null |
[
-0.029553456231951714,
0.026371287181973457,
-0.06341776251792908,
0.03520242124795914,
-0.056788500398397446,
-0.03400282934308052,
0.027226392179727554,
-0.08885166794061661,
0.043099671602249146,
-0.024094434455037117,
-0.04292527586221695,
0.10421959310770035,
0.03119436837732792,
0.01158780325204134,
-0.020948609337210655,
-0.059348806738853455,
0.059454672038555145,
0.04568145051598549,
-0.05537084490060806,
-0.008122709579765797,
0.04559782147407532,
-0.053091153502464294,
-0.06354017555713654,
0.03513670340180397,
0.06945157796144485,
-0.0503123514354229,
0.06600921601057053,
-0.051505137234926224,
0.01256552990525961,
0.08048824965953827,
-0.007903375662863255,
-0.006357638631016016,
0.02650507539510727,
-0.02892482839524746,
0.020686021074652672,
0.013803351670503616,
0.054500095546245575,
-0.032672613859176636,
-0.03129873797297478,
-0.006207396741956472,
-0.001821571378968656,
0.06459013372659683,
0.01654442399740219,
0.08941372483968735,
-0.07520604878664017,
-0.00568487448617816,
0.03764181211590767,
-0.006796305999159813,
-0.08280748128890991,
-0.06617478281259537,
-0.08082490414381027,
0.07601772248744965,
0.010320162400603294,
-0.061433371156454086,
-0.021344605833292007,
-0.03963174670934677,
-0.005877877585589886,
0.02642958052456379,
-0.04681439697742462,
-0.012318180873990059,
0.008562492206692696,
-0.04405784234404564,
-0.062248844653367996,
0.03276165947318077,
0.03311091661453247,
0.02804923802614212,
0.11321727186441422,
0.01225349586457014,
0.05220871418714523,
0.05319659039378166,
-0.06595558673143387,
0.0026250402443110943,
0.03627859055995941,
-0.03342999145388603,
0.04042695835232735,
0.01656046323478222,
-0.04922206699848175,
-0.00333416392095387,
0.06338675320148468,
-0.051694948226213455,
-0.0066664149053394794,
-0.006861735600978136,
-0.09834828972816467,
-0.017758099362254143,
-0.06158588454127312,
-0.055871542543172836,
-0.04517674818634987,
0.007522393949329853,
0.043619170784950256,
-0.10550485551357269,
0.011858544312417507,
-0.004087668377906084,
-0.1258559376001358,
0.04672452062368393,
-0.048879023641347885,
-0.09899835288524628,
0.08709824830293655,
0.003159916726872325,
0.0009668980492278934,
0.06221446394920349,
-0.013514094054698944,
-0.012546364217996597,
-0.022297319024801254,
0.06649065017700195,
-0.01364712044596672,
-0.04401151463389397,
-0.01647966355085373,
-0.011885924264788628,
-0.0215216763317585,
0.054372940212488174,
0.07125113159418106,
-0.033814430236816406,
0.04515582695603371,
0.05503984913229942,
-0.004916382022202015,
-0.0005250016110949218,
0.06684386730194092,
0.09141796827316284,
0.00471321539953351,
-0.012296682223677635,
-0.08138895034790039,
-0.11746782809495926,
-0.06354815512895584,
-0.011963888071477413,
0.03711780533194542,
0.08534223586320877,
-0.047665614634752274,
6.7001786689103594e-34,
0.035091228783130646,
0.05702221393585205,
0.023533692583441734,
0.009084497578442097,
-0.05789012834429741,
0.006345150526612997,
0.05769892781972885,
-0.024100827053189278,
0.01090838760137558,
0.08343204110860825,
-0.019254382699728012,
0.10831430554389954,
-0.011816310696303844,
0.08986769616603851,
0.048291467130184174,
-0.026005655527114868,
0.028901943936944008,
0.09039726108312607,
-0.020190026611089706,
-0.04495462775230408,
-0.0032056483905762434,
0.011079994030296803,
-0.025380901992321014,
-0.030036745592951775,
-0.03957875072956085,
-0.07778085023164749,
-0.008283055387437344,
0.013632280752062798,
-0.056476593017578125,
0.0011609029024839401,
-0.07971154153347015,
0.021051572635769844,
0.05359664186835289,
0.008847719058394432,
0.04782961681485176,
-0.012204336933791637,
0.037240732461214066,
0.02757580205798149,
-0.048514027148485184,
-0.019974276423454285,
0.06833259761333466,
0.016312502324581146,
0.08871570974588394,
-0.06867921352386475,
-0.03636696934700012,
-0.0997205525636673,
-0.011594271287322044,
0.026605753228068352,
0.037384726107120514,
-0.01722417026758194,
0.02855035848915577,
-0.034253302961587906,
-0.03920511528849602,
0.061696119606494904,
0.07360020279884338,
-0.0916363075375557,
0.020672863349318504,
-0.0697263777256012,
0.049217529594898224,
0.11408974230289459,
-0.019822079688310623,
-0.07989998906850815,
0.06217535585165024,
-0.055307935923337936,
0.11670413613319397,
0.059042610228061676,
0.00098872696980834,
0.01791975274682045,
0.007862496189773083,
0.013160482048988342,
0.02475094050168991,
0.05019526556134224,
-0.04540322721004486,
-0.07002440094947815,
0.06342217326164246,
-0.009031607769429684,
0.09433344006538391,
-0.002529897727072239,
0.014579200185835361,
-0.07083127647638321,
-0.045226894319057465,
-0.008615808561444283,
-0.03092440962791443,
0.026491116732358932,
-0.1032908707857132,
0.06400897353887558,
-0.06359456479549408,
-0.044804662466049194,
-0.10992436856031418,
-0.02854767255485058,
-0.05058866739273071,
-0.0048731062561273575,
0.03527333587408066,
-0.055942997336387634,
0.024450527504086494,
-1.4261662252477364e-33,
0.027689417824149132,
-0.00038539088563993573,
0.06081494316458702,
-0.0027698813937604427,
-0.045023951679468155,
-0.05421128123998642,
-0.0215696282684803,
0.006298461928963661,
-0.046779993921518326,
0.001745940069667995,
-0.02733440510928631,
-0.0534643679857254,
0.054598551243543625,
0.08737806230783463,
-0.008647111244499683,
0.11645776778459549,
0.04204129800200462,
-0.09677553921937943,
0.01537418644875288,
-0.03736637532711029,
0.073198102414608,
0.00419009942561388,
0.0516156442463398,
-0.02086891233921051,
0.020852413028478622,
-0.007261573802679777,
-0.008521690033376217,
0.10851957648992538,
0.03369304910302162,
0.007317620329558849,
-0.04085671901702881,
-0.028528189286589622,
-0.0716104507446289,
-0.023299966007471085,
-0.009792406111955643,
0.0370011180639267,
0.011405392549932003,
0.018053144216537476,
-0.02583412267267704,
-0.008242139592766762,
0.0029478142969310284,
0.07596683502197266,
-0.05801789090037346,
0.07550505548715591,
0.0825391560792923,
-0.09247590601444244,
0.04749481752514839,
0.009021297097206116,
-0.05216505005955696,
-0.0380738265812397,
0.001564406557008624,
0.08365398645401001,
-0.018401850014925003,
0.07331399619579315,
-0.02143060974776745,
0.055602360516786575,
-0.07303058356046677,
0.06355823576450348,
0.043676480650901794,
0.0034714846406131983,
0.03668104484677315,
-0.07300326973199844,
-0.055653564631938934,
0.026435477659106255,
0.02735236845910549,
0.05922900512814522,
0.1122199147939682,
0.04552250728011131,
0.018001170828938484,
0.11546997725963593,
-0.005323297344148159,
-0.018875660374760628,
0.12761004269123077,
0.0007313598180189729,
0.05636825039982796,
0.012321654707193375,
0.023203913122415543,
-0.03478862717747688,
-0.011287636123597622,
0.02893771603703499,
0.019251972436904907,
0.054307471960783005,
-0.0030548993963748217,
0.004501044750213623,
0.04200403019785881,
0.03546692058444023,
-0.048653289675712585,
-0.02432512305676937,
0.029877441003918648,
0.028046462684869766,
0.04251454025506973,
-0.011423992924392223,
0.04825591295957565,
-0.023193271830677986,
-0.027347160503268242,
-4.911168716148495e-8,
-0.08514710515737534,
0.026998193934559822,
-0.05434366315603256,
-0.0314425528049469,
0.018927643075585365,
-0.04252731427550316,
0.028430113568902016,
0.003773670643568039,
0.028594905510544777,
-0.03647904470562935,
0.05718318000435829,
-0.07683471590280533,
-0.08210592716932297,
0.03005325049161911,
-0.004466640762984753,
-0.03407234698534012,
-0.031082425266504288,
-0.044178858399391174,
-0.049543969333171844,
0.04405844956636429,
-0.06870167702436447,
0.005710225086659193,
-0.01246838178485632,
0.052544284611940384,
0.06128356605768204,
-0.031430475413799286,
0.005851333495229483,
0.02130570262670517,
0.1117517277598381,
0.0235421322286129,
-0.030117152258753777,
-0.0069793411530554295,
0.08897841721773148,
0.010954979807138443,
-0.060417938977479935,
0.08428420126438141,
-0.028881540521979332,
0.0533939003944397,
-0.03642146289348602,
-0.13686226308345795,
-0.08937016129493713,
-0.038976043462753296,
-0.06004871055483818,
0.026388144120573997,
0.027209533378481865,
0.026654016226530075,
0.04162975028157234,
0.028988957405090332,
-0.023860977962613106,
-0.021597212180495262,
-0.08381301909685135,
0.05189036205410957,
-0.023745553568005562,
-0.055243149399757385,
-0.02037036418914795,
-0.07053711265325546,
-0.03216882050037384,
0.014586105942726135,
0.06489124149084091,
0.06141028553247452,
-0.006221098825335503,
0.027745645493268967,
-0.1288641393184662,
0.010280645452439785
] |
1401.6384
|
Francesco Caltagirone
|
Francesco Caltagirone, Florent Krzakala and Lenka Zdeborov\'a
|
On Convergence of Approximate Message Passing
|
5 pages, 3 figures
|
Information Theory Proceedings (ISIT), 2014 IEEE International
Symposium on, page(s) 1812-1816
|
10.1109/ISIT.2014.6875146
| null |
cs.IT cond-mat.stat-mech math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Approximate message passing is an iterative algorithm for compressed sensing
and related applications. A solid theory about the performance and convergence
of the algorithm exists for measurement matrices having iid entries of zero
mean. However, it was observed by several authors that for more general
matrices the algorithm often encounters convergence problems. In this paper we
identify the reason of the non-convergence for measurement matrices with iid
entries and non-zero mean in the context of Bayes optimal inference. Finally we
demonstrate numerically that when the iterative update is changed from parallel
to sequential the convergence is restored.
|
[
{
"created": "Fri, 24 Jan 2014 15:53:19 GMT",
"version": "v1"
}
] |
2014-10-03
|
[
[
"Caltagirone",
"Francesco",
""
],
[
"Krzakala",
"Florent",
""
],
[
"Zdeborová",
"Lenka",
""
]
] |
[
-0.034623533487319946,
0.02412947081029415,
-0.010033925995230675,
0.021037109196186066,
-0.045222099870443344,
-0.04340379312634468,
0.08217672258615494,
-0.030830146744847298,
0.05565128102898598,
0.010697395540773869,
0.03022645227611065,
0.0813627690076828,
0.0945800244808197,
0.01872430182993412,
-0.07562971115112305,
-0.020834436640143394,
0.08099856972694397,
0.028140464797616005,
0.015237298794090748,
-0.02345612272620201,
-0.023760180920362473,
0.08730634301900864,
0.07161767780780792,
0.025733690708875656,
0.03460870683193207,
-0.025525154545903206,
0.024549853056669235,
-0.021038908511400223,
0.033348578959703445,
0.08465104550123215,
-0.030140241608023643,
0.01713915728032589,
-0.013593821786344051,
-0.014273823238909245,
0.03398698940873146,
0.012350788339972496,
0.06795530766248703,
-0.015634777024388313,
-0.02407541312277317,
0.10466077923774719,
-0.006960442289710045,
0.08369489759206772,
-0.01658353954553604,
0.044693488627672195,
-0.0102485166862607,
-0.015364603139460087,
0.014100139029324055,
-0.09916286170482635,
0.047004714608192444,
0.0003817003744188696,
-0.027665747329592705,
0.05373368039727211,
-0.030868401750922203,
-0.07041505724191666,
0.009708558209240437,
-0.11587746441364288,
-0.06875782459974289,
0.040473856031894684,
0.009268427267670631,
0.03359837085008621,
0.0223983321338892,
-0.08952246606349945,
0.02557571977376938,
0.033261436969041824,
0.0556454062461853,
0.08220341056585312,
0.03374224528670311,
0.007724145893007517,
-0.00400390662252903,
0.07318220287561417,
-0.1005297303199768,
0.038155991584062576,
-0.05105283483862877,
0.06310295313596725,
-0.00875943899154663,
-0.05186416581273079,
-0.015574440360069275,
-0.0017655000556260347,
-0.0006830127094872296,
0.022034024819731712,
-0.038193996995687485,
-0.03937877342104912,
-0.0462704636156559,
-0.03685400262475014,
0.02210170589387417,
-0.03983836621046066,
-0.042857348918914795,
0.036734238266944885,
0.015141380950808525,
-0.06765531748533249,
-0.04980053752660751,
-0.0952153280377388,
-0.12475386261940002,
0.05493512004613876,
-0.03521247208118439,
-0.03907795250415802,
0.032229941338300705,
0.051874611526727676,
-0.03478172793984413,
0.06406549364328384,
0.04046301171183586,
0.03541450947523117,
-0.03184641897678375,
0.025297701358795166,
-0.00991523452103138,
-0.0550849474966526,
0.05682388320565224,
-0.0030434702057391405,
0.0007022761274129152,
-0.014042548835277557,
0.03217395022511482,
-0.028358813375234604,
0.053486768156290054,
0.0752042755484581,
-0.02559012360870838,
-0.050000354647636414,
0.073879674077034,
0.08000558614730835,
-0.029317552223801613,
0.03287136182188988,
-0.01692674309015274,
-0.06471529603004456,
0.06434760987758636,
0.03536270558834076,
0.029831597581505775,
0.08991397172212601,
-0.024821657687425613,
1.4261123178114916e-33,
-0.024691976606845856,
0.046242017298936844,
0.06608168035745621,
-0.0018720267107710242,
-0.05643678084015846,
0.047580063343048096,
0.035969384014606476,
-0.03292718529701233,
0.039241913706064224,
0.013563583604991436,
-0.01776927337050438,
0.06493145227432251,
-0.059831324964761734,
0.0406956821680069,
0.027487067505717278,
-0.02533445693552494,
0.00022554033785127103,
0.06539954990148544,
0.030693890526890755,
-0.07754118740558624,
0.08024190366268158,
-0.03150535002350807,
0.038511767983436584,
-0.05122675001621246,
0.0035880764480680227,
-0.023396264761686325,
0.08285770565271378,
0.02949177473783493,
-0.02551441453397274,
-0.016339095309376717,
-0.025885622948408127,
0.02892913669347763,
0.04325410723686218,
0.007556053344160318,
-0.006229031831026077,
-0.03834667429327965,
0.13379767537117004,
-0.011106684803962708,
0.005927170626819134,
-0.024943076074123383,
0.037246644496917725,
0.010034339502453804,
0.09014570713043213,
-0.107096366584301,
-0.09810040146112442,
-0.12188390642404556,
-0.06720133870840073,
0.0029681932646781206,
0.047197550535202026,
-0.08074380457401276,
0.029227761551737785,
-0.06442995369434357,
-0.05602320656180382,
0.055568404495716095,
0.022450044751167297,
-0.060283396393060684,
-0.022494304925203323,
-0.06156354025006294,
0.019037358462810516,
0.06553783267736435,
-0.006044080015271902,
-0.054427795112133026,
-0.012758162803947926,
0.012433844618499279,
0.07481230050325394,
0.08686892688274384,
0.005771462805569172,
0.050943512469530106,
0.0025255705695599318,
-0.06858400255441666,
0.03150119632482529,
-0.05496721342206001,
-0.02467980608344078,
-0.08325963467359543,
0.06455829739570618,
-0.02731022797524929,
-0.000741759140510112,
-0.017055174335837364,
-0.07946083694696426,
-0.010826865211129189,
-0.061915647238492966,
-0.0030453631188720465,
-0.018024975433945656,
-0.03721701726317406,
0.010034353472292423,
0.024677403271198273,
-0.02647368609905243,
-0.08384663611650467,
-0.06117991730570793,
-0.06357385963201523,
-0.06771789491176605,
0.018356258049607277,
0.02716379053890705,
0.03207412362098694,
0.003538205986842513,
-2.076986845939654e-33,
-0.09175029397010803,
0.016990577802062035,
0.03291917219758034,
-0.0032583961728960276,
-0.0019082725048065186,
-0.10000289976596832,
0.026839418336749077,
-0.04799685999751091,
-0.01402468141168356,
-0.05924670025706291,
-0.06239474564790726,
-0.05923047661781311,
-0.042929213494062424,
0.043157920241355896,
0.028982087969779968,
0.08419661223888397,
0.0355779305100441,
-0.05054958537220955,
-0.002376240212470293,
-0.10246437042951584,
0.003424013266339898,
0.036533232778310776,
0.015933435410261154,
-0.040851980447769165,
-0.007919102907180786,
0.05048395320773125,
-0.016235748305916786,
0.14527802169322968,
0.045489244163036346,
-0.08729996532201767,
-0.05260547250509262,
-0.07859804481267929,
-0.03217608481645584,
-0.005752613302320242,
-0.038048580288887024,
0.013106153346598148,
0.059984706342220306,
0.055849745869636536,
-0.021317441016435623,
0.10275617241859436,
0.01566728949546814,
0.03451869636774063,
-0.07879583537578583,
0.0074901822954416275,
0.08387968689203262,
-0.08254890143871307,
-0.01037865411490202,
-0.013736419379711151,
0.023717328906059265,
-0.023998871445655823,
0.03710494190454483,
0.06015718728303909,
0.008008000440895557,
0.10177936404943466,
-0.03519752621650696,
0.06927629560232162,
-0.0456208698451519,
0.02551806904375553,
0.03343420475721359,
0.019215550273656845,
-0.05208734795451164,
-0.031844399869441986,
-0.04560064896941185,
0.033340685069561005,
0.020752348005771637,
0.0547512024641037,
0.04067559167742729,
-0.03893588110804558,
-0.006354787386953831,
0.054410938173532486,
-0.008252238854765892,
-0.023889655247330666,
-0.029643742367625237,
0.024683240801095963,
0.12881526350975037,
-0.020611733198165894,
0.011580727994441986,
-0.00012066607450833544,
-0.05962038412690163,
-0.018825406208634377,
-0.010944532230496407,
0.024644598364830017,
-0.05203595384955406,
0.04910433292388916,
0.03895571082830429,
-0.0006741085671819746,
0.05750427767634392,
-0.0611405223608017,
0.006086053792387247,
-0.03733912110328674,
0.004750879015773535,
0.07623063772916794,
0.108626589179039,
-0.0030628489330410957,
-0.059245094656944275,
-4.390420471622747e-8,
-0.11102647334337234,
0.009244529530405998,
-0.02210008166730404,
-0.03441844508051872,
0.11526062339544296,
-0.05883597582578659,
-0.04829075187444687,
-0.0023994315415620804,
0.004219535738229752,
-0.13052858412265778,
0.034883320331573486,
-0.10037469118833542,
-0.06995974481105804,
-0.02125786617398262,
-0.04946979135274887,
-0.013514169491827488,
-0.06292520463466644,
-0.08325755596160889,
0.029495950788259506,
-0.047953344881534576,
0.013621634803712368,
0.033510688692331314,
-0.013872615061700344,
0.03855247423052788,
0.012893367558717728,
-0.04124613478779793,
0.03924626111984253,
0.012863798066973686,
0.08562979102134705,
0.025775650516152382,
-0.08042779564857483,
0.02878141775727272,
0.06516885757446289,
0.025108380243182182,
-0.053198762238025665,
0.03381485119462013,
0.0861460417509079,
-0.0016360292211174965,
-0.01789473369717598,
-0.13847598433494568,
-0.031773053109645844,
0.003017761278897524,
-0.0063356198370456696,
0.006317757535725832,
0.042751193046569824,
0.005519953090697527,
0.05439794808626175,
0.03390902653336525,
0.008157831616699696,
0.0027774330228567123,
0.011624322272837162,
0.046318721026182175,
0.006023665424436331,
0.02669014222919941,
0.02754843793809414,
-0.06566275656223297,
0.029861973598599434,
-0.04811813682317734,
0.0195285864174366,
0.11434406787157059,
0.04704361408948898,
0.001609687926247716,
-0.14148934185504913,
0.0315362811088562
] | null | null | null | null | null | null | null |
[
-0.034623533487319946,
0.02412947081029415,
-0.010033925995230675,
0.021037109196186066,
-0.045222099870443344,
-0.04340379312634468,
0.08217672258615494,
-0.030830146744847298,
0.05565128102898598,
0.010697395540773869,
0.03022645227611065,
0.0813627690076828,
0.0945800244808197,
0.01872430182993412,
-0.07562971115112305,
-0.020834436640143394,
0.08099856972694397,
0.028140464797616005,
0.015237298794090748,
-0.02345612272620201,
-0.023760180920362473,
0.08730634301900864,
0.07161767780780792,
0.025733690708875656,
0.03460870683193207,
-0.025525154545903206,
0.024549853056669235,
-0.021038908511400223,
0.033348578959703445,
0.08465104550123215,
-0.030140241608023643,
0.01713915728032589,
-0.013593821786344051,
-0.014273823238909245,
0.03398698940873146,
0.012350788339972496,
0.06795530766248703,
-0.015634777024388313,
-0.02407541312277317,
0.10466077923774719,
-0.006960442289710045,
0.08369489759206772,
-0.01658353954553604,
0.044693488627672195,
-0.0102485166862607,
-0.015364603139460087,
0.014100139029324055,
-0.09916286170482635,
0.047004714608192444,
0.0003817003744188696,
-0.027665747329592705,
0.05373368039727211,
-0.030868401750922203,
-0.07041505724191666,
0.009708558209240437,
-0.11587746441364288,
-0.06875782459974289,
0.040473856031894684,
0.009268427267670631,
0.03359837085008621,
0.0223983321338892,
-0.08952246606349945,
0.02557571977376938,
0.033261436969041824,
0.0556454062461853,
0.08220341056585312,
0.03374224528670311,
0.007724145893007517,
-0.00400390662252903,
0.07318220287561417,
-0.1005297303199768,
0.038155991584062576,
-0.05105283483862877,
0.06310295313596725,
-0.00875943899154663,
-0.05186416581273079,
-0.015574440360069275,
-0.0017655000556260347,
-0.0006830127094872296,
0.022034024819731712,
-0.038193996995687485,
-0.03937877342104912,
-0.0462704636156559,
-0.03685400262475014,
0.02210170589387417,
-0.03983836621046066,
-0.042857348918914795,
0.036734238266944885,
0.015141380950808525,
-0.06765531748533249,
-0.04980053752660751,
-0.0952153280377388,
-0.12475386261940002,
0.05493512004613876,
-0.03521247208118439,
-0.03907795250415802,
0.032229941338300705,
0.051874611526727676,
-0.03478172793984413,
0.06406549364328384,
0.04046301171183586,
0.03541450947523117,
-0.03184641897678375,
0.025297701358795166,
-0.00991523452103138,
-0.0550849474966526,
0.05682388320565224,
-0.0030434702057391405,
0.0007022761274129152,
-0.014042548835277557,
0.03217395022511482,
-0.028358813375234604,
0.053486768156290054,
0.0752042755484581,
-0.02559012360870838,
-0.050000354647636414,
0.073879674077034,
0.08000558614730835,
-0.029317552223801613,
0.03287136182188988,
-0.01692674309015274,
-0.06471529603004456,
0.06434760987758636,
0.03536270558834076,
0.029831597581505775,
0.08991397172212601,
-0.024821657687425613,
1.4261123178114916e-33,
-0.024691976606845856,
0.046242017298936844,
0.06608168035745621,
-0.0018720267107710242,
-0.05643678084015846,
0.047580063343048096,
0.035969384014606476,
-0.03292718529701233,
0.039241913706064224,
0.013563583604991436,
-0.01776927337050438,
0.06493145227432251,
-0.059831324964761734,
0.0406956821680069,
0.027487067505717278,
-0.02533445693552494,
0.00022554033785127103,
0.06539954990148544,
0.030693890526890755,
-0.07754118740558624,
0.08024190366268158,
-0.03150535002350807,
0.038511767983436584,
-0.05122675001621246,
0.0035880764480680227,
-0.023396264761686325,
0.08285770565271378,
0.02949177473783493,
-0.02551441453397274,
-0.016339095309376717,
-0.025885622948408127,
0.02892913669347763,
0.04325410723686218,
0.007556053344160318,
-0.006229031831026077,
-0.03834667429327965,
0.13379767537117004,
-0.011106684803962708,
0.005927170626819134,
-0.024943076074123383,
0.037246644496917725,
0.010034339502453804,
0.09014570713043213,
-0.107096366584301,
-0.09810040146112442,
-0.12188390642404556,
-0.06720133870840073,
0.0029681932646781206,
0.047197550535202026,
-0.08074380457401276,
0.029227761551737785,
-0.06442995369434357,
-0.05602320656180382,
0.055568404495716095,
0.022450044751167297,
-0.060283396393060684,
-0.022494304925203323,
-0.06156354025006294,
0.019037358462810516,
0.06553783267736435,
-0.006044080015271902,
-0.054427795112133026,
-0.012758162803947926,
0.012433844618499279,
0.07481230050325394,
0.08686892688274384,
0.005771462805569172,
0.050943512469530106,
0.0025255705695599318,
-0.06858400255441666,
0.03150119632482529,
-0.05496721342206001,
-0.02467980608344078,
-0.08325963467359543,
0.06455829739570618,
-0.02731022797524929,
-0.000741759140510112,
-0.017055174335837364,
-0.07946083694696426,
-0.010826865211129189,
-0.061915647238492966,
-0.0030453631188720465,
-0.018024975433945656,
-0.03721701726317406,
0.010034353472292423,
0.024677403271198273,
-0.02647368609905243,
-0.08384663611650467,
-0.06117991730570793,
-0.06357385963201523,
-0.06771789491176605,
0.018356258049607277,
0.02716379053890705,
0.03207412362098694,
0.003538205986842513,
-2.076986845939654e-33,
-0.09175029397010803,
0.016990577802062035,
0.03291917219758034,
-0.0032583961728960276,
-0.0019082725048065186,
-0.10000289976596832,
0.026839418336749077,
-0.04799685999751091,
-0.01402468141168356,
-0.05924670025706291,
-0.06239474564790726,
-0.05923047661781311,
-0.042929213494062424,
0.043157920241355896,
0.028982087969779968,
0.08419661223888397,
0.0355779305100441,
-0.05054958537220955,
-0.002376240212470293,
-0.10246437042951584,
0.003424013266339898,
0.036533232778310776,
0.015933435410261154,
-0.040851980447769165,
-0.007919102907180786,
0.05048395320773125,
-0.016235748305916786,
0.14527802169322968,
0.045489244163036346,
-0.08729996532201767,
-0.05260547250509262,
-0.07859804481267929,
-0.03217608481645584,
-0.005752613302320242,
-0.038048580288887024,
0.013106153346598148,
0.059984706342220306,
0.055849745869636536,
-0.021317441016435623,
0.10275617241859436,
0.01566728949546814,
0.03451869636774063,
-0.07879583537578583,
0.0074901822954416275,
0.08387968689203262,
-0.08254890143871307,
-0.01037865411490202,
-0.013736419379711151,
0.023717328906059265,
-0.023998871445655823,
0.03710494190454483,
0.06015718728303909,
0.008008000440895557,
0.10177936404943466,
-0.03519752621650696,
0.06927629560232162,
-0.0456208698451519,
0.02551806904375553,
0.03343420475721359,
0.019215550273656845,
-0.05208734795451164,
-0.031844399869441986,
-0.04560064896941185,
0.033340685069561005,
0.020752348005771637,
0.0547512024641037,
0.04067559167742729,
-0.03893588110804558,
-0.006354787386953831,
0.054410938173532486,
-0.008252238854765892,
-0.023889655247330666,
-0.029643742367625237,
0.024683240801095963,
0.12881526350975037,
-0.020611733198165894,
0.011580727994441986,
-0.00012066607450833544,
-0.05962038412690163,
-0.018825406208634377,
-0.010944532230496407,
0.024644598364830017,
-0.05203595384955406,
0.04910433292388916,
0.03895571082830429,
-0.0006741085671819746,
0.05750427767634392,
-0.0611405223608017,
0.006086053792387247,
-0.03733912110328674,
0.004750879015773535,
0.07623063772916794,
0.108626589179039,
-0.0030628489330410957,
-0.059245094656944275,
-4.390420471622747e-8,
-0.11102647334337234,
0.009244529530405998,
-0.02210008166730404,
-0.03441844508051872,
0.11526062339544296,
-0.05883597582578659,
-0.04829075187444687,
-0.0023994315415620804,
0.004219535738229752,
-0.13052858412265778,
0.034883320331573486,
-0.10037469118833542,
-0.06995974481105804,
-0.02125786617398262,
-0.04946979135274887,
-0.013514169491827488,
-0.06292520463466644,
-0.08325755596160889,
0.029495950788259506,
-0.047953344881534576,
0.013621634803712368,
0.033510688692331314,
-0.013872615061700344,
0.03855247423052788,
0.012893367558717728,
-0.04124613478779793,
0.03924626111984253,
0.012863798066973686,
0.08562979102134705,
0.025775650516152382,
-0.08042779564857483,
0.02878141775727272,
0.06516885757446289,
0.025108380243182182,
-0.053198762238025665,
0.03381485119462013,
0.0861460417509079,
-0.0016360292211174965,
-0.01789473369717598,
-0.13847598433494568,
-0.031773053109645844,
0.003017761278897524,
-0.0063356198370456696,
0.006317757535725832,
0.042751193046569824,
0.005519953090697527,
0.05439794808626175,
0.03390902653336525,
0.008157831616699696,
0.0027774330228567123,
0.011624322272837162,
0.046318721026182175,
0.006023665424436331,
0.02669014222919941,
0.02754843793809414,
-0.06566275656223297,
0.029861973598599434,
-0.04811813682317734,
0.0195285864174366,
0.11434406787157059,
0.04704361408948898,
0.001609687926247716,
-0.14148934185504913,
0.0315362811088562
] |
1401.6385
|
Songjian Lu
|
Songjian Lu, Xinghua Lu
|
An exact algorithm for the weighed mutually exclusive maximum set cover
problem
| null | null | null | null |
cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we introduce an exact algorithm with a time complexity of
$O^*(1.325^m)$ for the {\sc weighted mutually exclusive maximum set cover}
problem, where $m$ is the number of subsets in the problem. This is an NP-hard
motivated and abstracted from a bioinformatics problem of identifying signaling
pathways based gene mutations. Currently, this problem is addressed using
heuristic algorithms, which cannot guarantee the performance of the solution.
By providing a relatively efficient exact algorithm, our approach will like
increase the capability of finding better solutions in the application of
cancer research.
|
[
{
"created": "Fri, 24 Jan 2014 16:00:34 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Lu",
"Songjian",
""
],
[
"Lu",
"Xinghua",
""
]
] |
[
-0.03990738466382027,
0.05362561345100403,
0.006322197150439024,
-0.06085192784667015,
0.02938542701303959,
-0.07866506278514862,
0.05842813849449158,
0.015619786456227303,
0.007028742227703333,
-0.024862583726644516,
-0.04246891289949417,
-0.01556385774165392,
0.03828917816281319,
-0.0029140058904886246,
-0.025529416278004646,
0.09886027127504349,
-0.05136382207274437,
-0.056018829345703125,
0.02025495655834675,
-0.07284613698720932,
-0.04271216318011284,
0.04591599106788635,
-0.0050425236113369465,
-0.005056893453001976,
-0.017762746661901474,
-0.021589061245322227,
0.05300198495388031,
0.03213735669851303,
0.007833478040993214,
0.022169020026922226,
-0.03203672543168068,
-0.03136962279677391,
0.048429522663354874,
-0.034580864012241364,
-0.0044968570582568645,
0.019770067185163498,
-0.10441125184297562,
-0.014585294760763645,
-0.01611170917749405,
0.03062494657933712,
0.022029194980859756,
0.046838510781526566,
0.04201268404722214,
0.091122105717659,
0.027259178459644318,
0.07616828382015228,
-0.1127394288778305,
-0.005763296503573656,
0.03190502151846886,
-0.0264480821788311,
-0.05747036263346672,
-0.07362289726734161,
-0.08650698512792587,
-0.0028279281686991453,
0.06443415582180023,
-0.11466395854949951,
-0.013802936300635338,
-0.045816823840141296,
-0.003837263910099864,
-0.011727316305041313,
0.03265515714883804,
-0.05384764447808266,
0.06134124472737312,
-0.033926498144865036,
0.07390554249286652,
0.05570758134126663,
0.027039960026741028,
0.017337024211883545,
0.013720154762268066,
0.049305304884910583,
0.007395212538540363,
0.08828501403331757,
-0.08181940764188766,
0.0872984379529953,
0.038856420665979385,
0.0495724231004715,
0.020607965067029,
0.06122412905097008,
0.03085998445749283,
-0.009123735129833221,
-0.03335968405008316,
-0.08085909485816956,
0.03226655721664429,
0.06398827582597733,
0.009882121346890926,
-0.04337117820978165,
0.007398578338325024,
0.008859029971063137,
0.08070272952318192,
0.08865505456924438,
-0.11342981457710266,
-0.0581880584359169,
0.0226982943713665,
0.016031596809625626,
-0.02818204276263714,
0.01825154758989811,
0.03425554931163788,
0.031375277787446976,
0.02713884226977825,
0.03950100764632225,
-0.07543319463729858,
-0.0028168403077870607,
0.04474262148141861,
0.006691173650324345,
0.0005698557361029088,
0.035428259521722794,
-0.0019818171858787537,
0.00026069761952385306,
0.0003972562844865024,
-0.0978778600692749,
0.039613593369722366,
-0.059375327080488205,
0.06917444616556168,
0.032692234963178635,
0.04077436402440071,
0.0031315989326685667,
0.04928426444530487,
0.04568759724497795,
-0.013397416099905968,
0.07829684764146805,
-0.009935755282640457,
-0.05045975744724274,
0.054350823163986206,
-0.04310893639922142,
-0.06414514034986496,
0.04303303360939026,
-0.05217617750167847,
4.298147339323692e-34,
-0.016327528282999992,
0.04407884553074837,
0.06089872866868973,
-0.05327798053622246,
0.011432836763560772,
-0.052135348320007324,
0.03052120842039585,
-0.014033102430403233,
-0.007017094176262617,
0.03381028026342392,
-0.0143958181142807,
-0.03839985653758049,
0.054805006831884384,
0.013739467598497868,
0.022215144708752632,
-0.0779048353433609,
0.08296599239110947,
0.06394239515066147,
-0.11012476682662964,
-0.139975905418396,
-0.013558524660766125,
-0.02195734903216362,
-0.01044689491391182,
-0.1426127701997757,
0.0067644622176885605,
-0.0639515221118927,
-0.00565573712810874,
-0.008555644191801548,
0.050008486956357956,
-0.016409484669566154,
-0.09416897594928741,
0.03397607058286667,
0.04442344605922699,
0.11742119491100311,
0.05149134248495102,
-0.0064673651941120625,
0.03175705298781395,
-0.054672155529260635,
0.07784094661474228,
0.050070684403181076,
-0.025053488090634346,
0.024100396782159805,
0.06621072441339493,
-0.0582195445895195,
0.03707372397184372,
0.012834571301937103,
-0.08388645201921463,
0.006777576170861721,
-0.018360212445259094,
0.009957365691661835,
-0.08785150200128555,
-0.05275518819689751,
-0.04305063188076019,
0.008154762908816338,
-0.030375299975275993,
-0.025414733216166496,
-0.05480681732296944,
0.037748951464891434,
0.050088562071323395,
0.10631130635738373,
0.10961845517158508,
-0.06534392386674881,
-0.014901896938681602,
0.08178863674402237,
0.007386255078017712,
0.042654506862163544,
-0.046198852360248566,
-0.11057477444410324,
0.06955268234014511,
0.06094558909535408,
0.06273579597473145,
-0.002945090178400278,
0.029966356232762337,
-0.07515997439622879,
-0.01245137583464384,
-0.05962185934185982,
0.12126857042312622,
0.08412127196788788,
-0.09957369416952133,
0.06835051625967026,
-0.002159545663744211,
0.025676017627120018,
-0.04231564700603485,
-0.0660911500453949,
-0.06037888675928116,
-0.029787665233016014,
0.00264626182615757,
-0.025630002841353416,
-0.07710940390825272,
0.020146531984210014,
-0.018917500972747803,
0.033194269984960556,
-0.04994404688477516,
-0.09793344140052795,
0.04918231442570686,
-5.070376873659374e-34,
0.04776517674326897,
-0.019383810460567474,
0.15023867785930634,
-0.048006460070610046,
0.037431590259075165,
-0.04354090616106987,
-0.03118954226374626,
-0.019111305475234985,
0.0846775695681572,
0.06328244507312775,
0.052297916263341904,
0.03448433056473732,
0.04939114302396774,
-0.11213821172714233,
-0.0906948447227478,
0.01877264305949211,
0.0021811227779835463,
0.002784367883577943,
-0.025663064792752266,
0.029345311224460602,
-0.024041859433054924,
0.07904505729675293,
-0.08773571252822876,
0.05110853165388107,
0.00553562818095088,
0.019575508311390877,
-0.041474174708127975,
0.10721515864133835,
-0.025787414982914925,
-0.0040466212667524815,
-0.08882589638233185,
0.011987313628196716,
-0.14107555150985718,
0.028745563700795174,
-0.02076990157365799,
0.006462886463850737,
0.06188996508717537,
0.07968232780694962,
0.04104255512356758,
0.013521715998649597,
-0.0032814221922308207,
0.003446191782131791,
-0.05051933228969574,
0.010756394825875759,
0.09598011523485184,
0.009245033375918865,
-0.032224711030721664,
0.028698746114969254,
0.08743724226951599,
-0.02173050306737423,
0.020388729870319366,
-0.03480231761932373,
0.04316120594739914,
0.015040560625493526,
0.03034932166337967,
-0.013127664104104042,
-0.03253563493490219,
0.0493503175675869,
0.03124156966805458,
-0.059027787297964096,
0.0044947294518351555,
-0.03344473987817764,
0.00027472942019812763,
0.09997311234474182,
-0.040620431303977966,
0.0034308256581425667,
0.009674635715782642,
-0.03547591716051102,
-0.013551364652812481,
0.021073805168271065,
-0.044970687478780746,
0.07073741406202316,
0.01539211068302393,
-0.03655066341161728,
-0.0845140889286995,
0.02656790241599083,
0.006902819033712149,
-0.031399600207805634,
-0.004837310407310724,
-0.013355506584048271,
0.009051496163010597,
-0.018142536282539368,
0.02902887761592865,
-0.023286690935492516,
0.008408010005950928,
0.07191912829875946,
0.04260856658220291,
0.020143980160355568,
0.03819137439131737,
-0.07165650278329849,
-0.05320053920149803,
-0.034797340631484985,
0.022423716261982918,
-0.03331085294485092,
-0.060526151210069656,
-4.159453226293408e-8,
0.05323369801044464,
-0.09204741567373276,
-0.025646954774856567,
-0.08863754570484161,
0.10506747663021088,
0.03616691753268242,
-0.014830910600721836,
0.08522485941648483,
0.039395369589328766,
0.004427937790751457,
0.03843677416443825,
0.02612345665693283,
0.043114982545375824,
0.026929378509521484,
-0.04000784084200859,
-0.011267432942986488,
-0.042000021785497665,
0.03315145522356033,
-0.02948777563869953,
0.012021038681268692,
-0.06795056164264679,
0.006114216521382332,
0.04874876141548157,
0.07941525429487228,
0.07650285959243774,
-0.05656488612294197,
-0.010188608430325985,
-0.05670761689543724,
0.03081192634999752,
0.016085688024759293,
-0.05444373935461044,
-0.08433094620704651,
-0.0032495534978806973,
0.023062197491526604,
0.024241235107183456,
0.0350898876786232,
-0.034735120832920074,
-0.01088852807879448,
-0.10863009095191956,
0.03010375238955021,
0.043918997049331665,
0.01061277836561203,
0.006097881589084864,
-0.0025044637732207775,
0.040564462542533875,
0.0003916977730114013,
-0.014547542668879032,
0.027265068143606186,
-0.07967901229858398,
-0.06653217226266861,
-0.0081842802464962,
0.014993179589509964,
0.02553785964846611,
-0.03038240224123001,
-0.01657082885503769,
0.06017305329442024,
-0.018122881650924683,
0.021085286512970924,
0.04224199801683426,
-0.02023428864777088,
-0.00807740818709135,
-0.019152332097291946,
0.08870390057563782,
0.005231273360550404
] | null | null | null | null | null | null | null |
[
-0.03990738466382027,
0.05362561345100403,
0.006322197150439024,
-0.06085192784667015,
0.02938542701303959,
-0.07866506278514862,
0.05842813849449158,
0.015619786456227303,
0.007028742227703333,
-0.024862583726644516,
-0.04246891289949417,
-0.01556385774165392,
0.03828917816281319,
-0.0029140058904886246,
-0.025529416278004646,
0.09886027127504349,
-0.05136382207274437,
-0.056018829345703125,
0.02025495655834675,
-0.07284613698720932,
-0.04271216318011284,
0.04591599106788635,
-0.0050425236113369465,
-0.005056893453001976,
-0.017762746661901474,
-0.021589061245322227,
0.05300198495388031,
0.03213735669851303,
0.007833478040993214,
0.022169020026922226,
-0.03203672543168068,
-0.03136962279677391,
0.048429522663354874,
-0.034580864012241364,
-0.0044968570582568645,
0.019770067185163498,
-0.10441125184297562,
-0.014585294760763645,
-0.01611170917749405,
0.03062494657933712,
0.022029194980859756,
0.046838510781526566,
0.04201268404722214,
0.091122105717659,
0.027259178459644318,
0.07616828382015228,
-0.1127394288778305,
-0.005763296503573656,
0.03190502151846886,
-0.0264480821788311,
-0.05747036263346672,
-0.07362289726734161,
-0.08650698512792587,
-0.0028279281686991453,
0.06443415582180023,
-0.11466395854949951,
-0.013802936300635338,
-0.045816823840141296,
-0.003837263910099864,
-0.011727316305041313,
0.03265515714883804,
-0.05384764447808266,
0.06134124472737312,
-0.033926498144865036,
0.07390554249286652,
0.05570758134126663,
0.027039960026741028,
0.017337024211883545,
0.013720154762268066,
0.049305304884910583,
0.007395212538540363,
0.08828501403331757,
-0.08181940764188766,
0.0872984379529953,
0.038856420665979385,
0.0495724231004715,
0.020607965067029,
0.06122412905097008,
0.03085998445749283,
-0.009123735129833221,
-0.03335968405008316,
-0.08085909485816956,
0.03226655721664429,
0.06398827582597733,
0.009882121346890926,
-0.04337117820978165,
0.007398578338325024,
0.008859029971063137,
0.08070272952318192,
0.08865505456924438,
-0.11342981457710266,
-0.0581880584359169,
0.0226982943713665,
0.016031596809625626,
-0.02818204276263714,
0.01825154758989811,
0.03425554931163788,
0.031375277787446976,
0.02713884226977825,
0.03950100764632225,
-0.07543319463729858,
-0.0028168403077870607,
0.04474262148141861,
0.006691173650324345,
0.0005698557361029088,
0.035428259521722794,
-0.0019818171858787537,
0.00026069761952385306,
0.0003972562844865024,
-0.0978778600692749,
0.039613593369722366,
-0.059375327080488205,
0.06917444616556168,
0.032692234963178635,
0.04077436402440071,
0.0031315989326685667,
0.04928426444530487,
0.04568759724497795,
-0.013397416099905968,
0.07829684764146805,
-0.009935755282640457,
-0.05045975744724274,
0.054350823163986206,
-0.04310893639922142,
-0.06414514034986496,
0.04303303360939026,
-0.05217617750167847,
4.298147339323692e-34,
-0.016327528282999992,
0.04407884553074837,
0.06089872866868973,
-0.05327798053622246,
0.011432836763560772,
-0.052135348320007324,
0.03052120842039585,
-0.014033102430403233,
-0.007017094176262617,
0.03381028026342392,
-0.0143958181142807,
-0.03839985653758049,
0.054805006831884384,
0.013739467598497868,
0.022215144708752632,
-0.0779048353433609,
0.08296599239110947,
0.06394239515066147,
-0.11012476682662964,
-0.139975905418396,
-0.013558524660766125,
-0.02195734903216362,
-0.01044689491391182,
-0.1426127701997757,
0.0067644622176885605,
-0.0639515221118927,
-0.00565573712810874,
-0.008555644191801548,
0.050008486956357956,
-0.016409484669566154,
-0.09416897594928741,
0.03397607058286667,
0.04442344605922699,
0.11742119491100311,
0.05149134248495102,
-0.0064673651941120625,
0.03175705298781395,
-0.054672155529260635,
0.07784094661474228,
0.050070684403181076,
-0.025053488090634346,
0.024100396782159805,
0.06621072441339493,
-0.0582195445895195,
0.03707372397184372,
0.012834571301937103,
-0.08388645201921463,
0.006777576170861721,
-0.018360212445259094,
0.009957365691661835,
-0.08785150200128555,
-0.05275518819689751,
-0.04305063188076019,
0.008154762908816338,
-0.030375299975275993,
-0.025414733216166496,
-0.05480681732296944,
0.037748951464891434,
0.050088562071323395,
0.10631130635738373,
0.10961845517158508,
-0.06534392386674881,
-0.014901896938681602,
0.08178863674402237,
0.007386255078017712,
0.042654506862163544,
-0.046198852360248566,
-0.11057477444410324,
0.06955268234014511,
0.06094558909535408,
0.06273579597473145,
-0.002945090178400278,
0.029966356232762337,
-0.07515997439622879,
-0.01245137583464384,
-0.05962185934185982,
0.12126857042312622,
0.08412127196788788,
-0.09957369416952133,
0.06835051625967026,
-0.002159545663744211,
0.025676017627120018,
-0.04231564700603485,
-0.0660911500453949,
-0.06037888675928116,
-0.029787665233016014,
0.00264626182615757,
-0.025630002841353416,
-0.07710940390825272,
0.020146531984210014,
-0.018917500972747803,
0.033194269984960556,
-0.04994404688477516,
-0.09793344140052795,
0.04918231442570686,
-5.070376873659374e-34,
0.04776517674326897,
-0.019383810460567474,
0.15023867785930634,
-0.048006460070610046,
0.037431590259075165,
-0.04354090616106987,
-0.03118954226374626,
-0.019111305475234985,
0.0846775695681572,
0.06328244507312775,
0.052297916263341904,
0.03448433056473732,
0.04939114302396774,
-0.11213821172714233,
-0.0906948447227478,
0.01877264305949211,
0.0021811227779835463,
0.002784367883577943,
-0.025663064792752266,
0.029345311224460602,
-0.024041859433054924,
0.07904505729675293,
-0.08773571252822876,
0.05110853165388107,
0.00553562818095088,
0.019575508311390877,
-0.041474174708127975,
0.10721515864133835,
-0.025787414982914925,
-0.0040466212667524815,
-0.08882589638233185,
0.011987313628196716,
-0.14107555150985718,
0.028745563700795174,
-0.02076990157365799,
0.006462886463850737,
0.06188996508717537,
0.07968232780694962,
0.04104255512356758,
0.013521715998649597,
-0.0032814221922308207,
0.003446191782131791,
-0.05051933228969574,
0.010756394825875759,
0.09598011523485184,
0.009245033375918865,
-0.032224711030721664,
0.028698746114969254,
0.08743724226951599,
-0.02173050306737423,
0.020388729870319366,
-0.03480231761932373,
0.04316120594739914,
0.015040560625493526,
0.03034932166337967,
-0.013127664104104042,
-0.03253563493490219,
0.0493503175675869,
0.03124156966805458,
-0.059027787297964096,
0.0044947294518351555,
-0.03344473987817764,
0.00027472942019812763,
0.09997311234474182,
-0.040620431303977966,
0.0034308256581425667,
0.009674635715782642,
-0.03547591716051102,
-0.013551364652812481,
0.021073805168271065,
-0.044970687478780746,
0.07073741406202316,
0.01539211068302393,
-0.03655066341161728,
-0.0845140889286995,
0.02656790241599083,
0.006902819033712149,
-0.031399600207805634,
-0.004837310407310724,
-0.013355506584048271,
0.009051496163010597,
-0.018142536282539368,
0.02902887761592865,
-0.023286690935492516,
0.008408010005950928,
0.07191912829875946,
0.04260856658220291,
0.020143980160355568,
0.03819137439131737,
-0.07165650278329849,
-0.05320053920149803,
-0.034797340631484985,
0.022423716261982918,
-0.03331085294485092,
-0.060526151210069656,
-4.159453226293408e-8,
0.05323369801044464,
-0.09204741567373276,
-0.025646954774856567,
-0.08863754570484161,
0.10506747663021088,
0.03616691753268242,
-0.014830910600721836,
0.08522485941648483,
0.039395369589328766,
0.004427937790751457,
0.03843677416443825,
0.02612345665693283,
0.043114982545375824,
0.026929378509521484,
-0.04000784084200859,
-0.011267432942986488,
-0.042000021785497665,
0.03315145522356033,
-0.02948777563869953,
0.012021038681268692,
-0.06795056164264679,
0.006114216521382332,
0.04874876141548157,
0.07941525429487228,
0.07650285959243774,
-0.05656488612294197,
-0.010188608430325985,
-0.05670761689543724,
0.03081192634999752,
0.016085688024759293,
-0.05444373935461044,
-0.08433094620704651,
-0.0032495534978806973,
0.023062197491526604,
0.024241235107183456,
0.0350898876786232,
-0.034735120832920074,
-0.01088852807879448,
-0.10863009095191956,
0.03010375238955021,
0.043918997049331665,
0.01061277836561203,
0.006097881589084864,
-0.0025044637732207775,
0.040564462542533875,
0.0003916977730114013,
-0.014547542668879032,
0.027265068143606186,
-0.07967901229858398,
-0.06653217226266861,
-0.0081842802464962,
0.014993179589509964,
0.02553785964846611,
-0.03038240224123001,
-0.01657082885503769,
0.06017305329442024,
-0.018122881650924683,
0.021085286512970924,
0.04224199801683426,
-0.02023428864777088,
-0.00807740818709135,
-0.019152332097291946,
0.08870390057563782,
0.005231273360550404
] |
1401.6393
|
Radu Horaud P
|
Miles Hansard, Radu Horaud, Michel Amat, Georgios Evangelidis
|
Automatic Detection of Calibration Grids in Time-of-Flight Images
|
11 pages, 11 figures, 1 table
|
Computer Vision and Image Understanding, 121, 2014
|
10.1016/j.cviu.2014.01.007
| null |
cs.CV
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is convenient to calibrate time-of-flight cameras by established methods,
using images of a chequerboard pattern. The low resolution of the amplitude
image, however, makes it difficult to detect the board reliably. Heuristic
detection methods, based on connected image-components, perform very poorly on
this data. An alternative, geometrically-principled method is introduced here,
based on the Hough transform. The projection of a chequerboard is represented
by two pencils of lines, which are identified as oriented clusters in the
gradient-data of the image. A projective Hough transform is applied to each of
the two clusters, in axis-aligned coordinates. The range of each transform is
properly bounded, because the corresponding gradient vectors are approximately
parallel. Each of the two transforms contains a series of collinear peaks; one
for every line in the given pencil. This pattern is easily detected, by
sweeping a dual line through the transform. The proposed Hough-based method is
compared to the standard OpenCV detection routine, by application to several
hundred time-of-flight images. It is shown that the new method detects
significantly more calibration boards, over a greater variety of poses, without
any overall loss of accuracy. This conclusion is based on an analysis of both
geometric and photometric error.
|
[
{
"created": "Fri, 24 Jan 2014 16:25:56 GMT",
"version": "v1"
}
] |
2020-12-18
|
[
[
"Hansard",
"Miles",
""
],
[
"Horaud",
"Radu",
""
],
[
"Amat",
"Michel",
""
],
[
"Evangelidis",
"Georgios",
""
]
] |
[
0.03338246047496796,
0.0224944856017828,
-0.1142820417881012,
-0.10399945825338364,
0.12400513142347336,
-0.02294905297458172,
0.04086870700120926,
-0.06048351153731346,
0.06789415329694748,
0.005459017585963011,
0.012084105983376503,
0.0007571332389488816,
-0.024919068440794945,
0.05913136899471283,
-0.028676362708210945,
-0.1147754043340683,
-0.07773815095424652,
0.005980846472084522,
-0.013538074679672718,
-0.03180011734366417,
-0.005895246751606464,
-0.05680808052420616,
-0.023008674383163452,
-0.00008566785982111469,
-0.04456165432929993,
0.0346347838640213,
0.04481414332985878,
-0.04570792615413666,
-0.11754341423511505,
-0.030356286093592644,
0.01212229486554861,
-0.02364329993724823,
0.011403515003621578,
0.021344589069485664,
0.0005760783678852022,
-0.005921781994402409,
-0.01465106476098299,
-0.00794062577188015,
-0.00769059918820858,
-0.021661529317498207,
-0.016595616936683655,
0.033764682710170746,
0.013683538883924484,
0.025528347119688988,
0.07264965772628784,
0.13411882519721985,
0.011560223065316677,
-0.06682805716991425,
-0.016109921038150787,
-0.03772611543536186,
-0.02122499980032444,
-0.04815642163157463,
-0.04047252610325813,
-0.020114410668611526,
-0.023761196061968803,
0.04613572731614113,
0.03561761975288391,
-0.09900366514921188,
0.09994594007730484,
-0.018558785319328308,
0.01843859814107418,
0.016952071338891983,
0.0337015762925148,
0.014572685584425926,
-0.00491370027884841,
0.0641263797879219,
0.0292680524289608,
-0.09963147342205048,
0.08038775622844696,
-0.07336834073066711,
-0.036777470260858536,
0.13268838822841644,
0.11082802712917328,
0.014087043702602386,
-0.0009294418850913644,
-0.01804356835782528,
-0.006644965149462223,
0.01962708681821823,
0.08800610154867172,
-0.0722813829779625,
0.017665816470980644,
0.008753952570259571,
-0.029806911945343018,
0.0775434821844101,
0.050211869180202484,
0.048650190234184265,
-0.05866926908493042,
0.003059978364035487,
0.01640477031469345,
-0.05765867605805397,
-0.06570586562156677,
-0.02819693461060524,
-0.034164320677518845,
-0.019940167665481567,
-0.036585524678230286,
-0.11446212232112885,
0.005003270227462053,
-0.006279191467911005,
0.06226728856563568,
0.06068658083677292,
0.012906272895634174,
-0.0351836271584034,
0.06247897073626518,
0.014271298423409462,
0.05692227557301521,
0.07415328919887543,
0.051215726882219315,
0.011411270126700401,
0.1284768134355545,
-0.021163949742913246,
-0.05773194506764412,
-0.008325483649969101,
0.057199444621801376,
-0.031803201884031296,
-0.005557474680244923,
0.028475677594542503,
-0.0052480027079582214,
0.03078329563140869,
-0.08128317445516586,
-0.0440276637673378,
0.03919115662574768,
-0.03627151623368263,
0.06491890549659729,
0.01914466731250286,
0.06827008724212646,
0.034179456532001495,
0.02078118547797203,
2.127481858818156e-33,
-0.03007582202553749,
-0.000707217666786164,
0.0638502985239029,
0.0023164115846157074,
-0.019606750458478928,
-0.000833823811262846,
-0.0000180285769602051,
0.0265339408069849,
0.08089786767959595,
0.08444293588399887,
-0.04325700178742409,
-0.03182275965809822,
-0.01000163983553648,
0.06014988198876381,
0.06686853617429733,
0.036691222339868546,
0.027984250336885452,
-0.08253795653581619,
-0.04573133587837219,
0.05844694748520851,
-0.0399305634200573,
-0.04853539913892746,
0.03096293844282627,
0.0008468730957247317,
0.0003926400386262685,
-0.012364840134978294,
-0.014642403461039066,
-0.0011628948850557208,
0.03851820528507233,
0.0008930923650041223,
0.05205271765589714,
-0.05487724021077156,
-0.06661782413721085,
0.001388604985550046,
-0.07072963565587997,
-0.05130859464406967,
-0.016217906028032303,
-0.009914174675941467,
-0.020725073292851448,
0.007449600379914045,
0.06686155498027802,
0.056910574436187744,
0.013660751283168793,
-0.058744654059410095,
0.019158026203513145,
0.1042160838842392,
-0.013895596377551556,
0.11532624065876007,
-0.03600167855620384,
-0.001500066020525992,
-0.04294586181640625,
0.005263683386147022,
-0.009758285246789455,
-0.043846067041158676,
-0.020972419530153275,
0.03464829921722412,
0.0671878382563591,
0.021780021488666534,
0.04084867611527443,
0.02394331805408001,
0.040130093693733215,
0.0061711957678198814,
-0.06846068054437637,
0.06208978220820427,
-0.05134271830320358,
-0.03405899181962013,
0.03451823443174362,
0.05404145270586014,
0.0032016385812312365,
0.05628238990902901,
-0.03493807464838028,
-0.0031759480480104685,
0.004081567283719778,
-0.08969803154468536,
-0.0007157404907047749,
0.046032074838876724,
-0.05431954935193062,
0.02551252953708172,
0.02932625263929367,
-0.024907927960157394,
-0.057412441819906235,
0.019215865060687065,
0.029942965134978294,
-0.050973080098629,
-0.01279074139893055,
0.025658896192908287,
0.030916117131710052,
-0.08714029937982559,
-0.06504518538713455,
0.011619932018220425,
-0.11940144747495651,
0.05441251024603844,
-0.0511656291782856,
0.010140808299183846,
0.03074074350297451,
-1.719504871188188e-33,
0.03255382552742958,
0.003173425793647766,
0.007664003875106573,
0.022232813760638237,
-0.07814635336399078,
-0.050333309918642044,
0.0021056062541902065,
0.017053695395588875,
0.043838806450366974,
-0.014452539384365082,
-0.024872269481420517,
-0.021632736548781395,
0.0019703407306224108,
-0.02622007578611374,
0.029821328818798065,
0.04024351015686989,
-0.0841636136174202,
0.05479177087545395,
0.01649688556790352,
0.008606580086052418,
0.012215576134622097,
0.0442679300904274,
-0.02144918590784073,
-0.10284987837076187,
0.04605382680892944,
0.06240522116422653,
0.08558974415063858,
0.01968998648226261,
0.0029470708686858416,
0.008127321489155293,
-0.023801319301128387,
-0.0147103825584054,
0.02084195427596569,
0.05187331140041351,
-0.07950109988451004,
-0.007331338711082935,
-0.017376411706209183,
-0.0463138073682785,
0.024331506341695786,
0.019295286387205124,
-0.06596219539642334,
0.04880305752158165,
-0.040860649198293686,
-0.06741293519735336,
-0.073113352060318,
0.03448079526424408,
0.01616690121591091,
0.10459573566913605,
0.029329121112823486,
0.08332344889640808,
-0.05793703347444534,
0.016775080934166908,
-0.045858483761548996,
0.05567669868469238,
0.04135151952505112,
0.1252528429031372,
-0.08791056275367737,
0.005174317397177219,
0.03766908496618271,
-0.017991064116358757,
0.006407774984836578,
-0.00030730332946404815,
-0.058507904410362244,
0.023476144298911095,
0.015106994658708572,
0.035446010529994965,
0.025601767003536224,
-0.009918829426169395,
-0.002523197326809168,
0.07805800437927246,
0.04348370060324669,
0.0318785160779953,
0.06730271130800247,
-0.029012756422162056,
-0.04138566926121712,
-0.005530509632080793,
-0.0190614964812994,
0.047237955033779144,
0.07837023586034775,
-0.002782850293442607,
-0.04808288440108299,
-0.15864874422550201,
0.0334707647562027,
0.11348585039377213,
-0.036928147077560425,
0.08481690287590027,
-0.021710723638534546,
-0.06920544803142548,
0.08936472982168198,
0.03231360763311386,
-0.0054608541540801525,
0.05243781954050064,
0.03131886199116707,
-0.0197126567363739,
-0.019733041524887085,
-4.90834572985932e-8,
-0.06144178658723831,
-0.031316373497247696,
-0.016743827611207962,
-0.0717671662569046,
-0.016107328236103058,
0.0031354001257568598,
0.03576520457863808,
0.05796932429075241,
-0.02659059502184391,
-0.10216067731380463,
0.10688987374305725,
-0.04154960438609123,
-0.06883373111486435,
0.02944965474307537,
-0.03402930125594139,
0.05051097646355629,
-0.004212057683616877,
0.010238319635391235,
-0.0463070310652256,
0.061753422021865845,
-0.06822474300861359,
-0.030678056180477142,
0.03709328919649124,
0.05626481771469116,
-0.13365969061851501,
-0.05708329379558563,
-0.04199707508087158,
0.008322867564857006,
0.01810450106859207,
-0.058893799781799316,
-0.07248082011938095,
0.0015436557587236166,
0.06551516056060791,
-0.022962424904108047,
0.0883476510643959,
0.022778576239943504,
-0.07204011082649231,
0.03234553709626198,
0.016627110540866852,
0.08675771206617355,
0.003207742003723979,
-0.005126383621245623,
-0.04986949637532234,
0.005252843257039785,
0.06889012455940247,
0.03147995471954346,
0.10100187361240387,
-0.010812913067638874,
-0.10549987107515335,
-0.06256912648677826,
-0.05126616731286049,
0.03545154258608818,
-0.059237897396087646,
0.059201329946517944,
-0.061867643147706985,
0.02905147336423397,
0.05066414922475815,
-0.10553552210330963,
0.017741067335009575,
0.08668607473373413,
-0.031306613236665726,
-0.015395481139421463,
-0.01929662562906742,
-0.08826474845409393
] | null | null | null | null | null | null | null |
[
0.03338246047496796,
0.0224944856017828,
-0.1142820417881012,
-0.10399945825338364,
0.12400513142347336,
-0.02294905297458172,
0.04086870700120926,
-0.06048351153731346,
0.06789415329694748,
0.005459017585963011,
0.012084105983376503,
0.0007571332389488816,
-0.024919068440794945,
0.05913136899471283,
-0.028676362708210945,
-0.1147754043340683,
-0.07773815095424652,
0.005980846472084522,
-0.013538074679672718,
-0.03180011734366417,
-0.005895246751606464,
-0.05680808052420616,
-0.023008674383163452,
-0.00008566785982111469,
-0.04456165432929993,
0.0346347838640213,
0.04481414332985878,
-0.04570792615413666,
-0.11754341423511505,
-0.030356286093592644,
0.01212229486554861,
-0.02364329993724823,
0.011403515003621578,
0.021344589069485664,
0.0005760783678852022,
-0.005921781994402409,
-0.01465106476098299,
-0.00794062577188015,
-0.00769059918820858,
-0.021661529317498207,
-0.016595616936683655,
0.033764682710170746,
0.013683538883924484,
0.025528347119688988,
0.07264965772628784,
0.13411882519721985,
0.011560223065316677,
-0.06682805716991425,
-0.016109921038150787,
-0.03772611543536186,
-0.02122499980032444,
-0.04815642163157463,
-0.04047252610325813,
-0.020114410668611526,
-0.023761196061968803,
0.04613572731614113,
0.03561761975288391,
-0.09900366514921188,
0.09994594007730484,
-0.018558785319328308,
0.01843859814107418,
0.016952071338891983,
0.0337015762925148,
0.014572685584425926,
-0.00491370027884841,
0.0641263797879219,
0.0292680524289608,
-0.09963147342205048,
0.08038775622844696,
-0.07336834073066711,
-0.036777470260858536,
0.13268838822841644,
0.11082802712917328,
0.014087043702602386,
-0.0009294418850913644,
-0.01804356835782528,
-0.006644965149462223,
0.01962708681821823,
0.08800610154867172,
-0.0722813829779625,
0.017665816470980644,
0.008753952570259571,
-0.029806911945343018,
0.0775434821844101,
0.050211869180202484,
0.048650190234184265,
-0.05866926908493042,
0.003059978364035487,
0.01640477031469345,
-0.05765867605805397,
-0.06570586562156677,
-0.02819693461060524,
-0.034164320677518845,
-0.019940167665481567,
-0.036585524678230286,
-0.11446212232112885,
0.005003270227462053,
-0.006279191467911005,
0.06226728856563568,
0.06068658083677292,
0.012906272895634174,
-0.0351836271584034,
0.06247897073626518,
0.014271298423409462,
0.05692227557301521,
0.07415328919887543,
0.051215726882219315,
0.011411270126700401,
0.1284768134355545,
-0.021163949742913246,
-0.05773194506764412,
-0.008325483649969101,
0.057199444621801376,
-0.031803201884031296,
-0.005557474680244923,
0.028475677594542503,
-0.0052480027079582214,
0.03078329563140869,
-0.08128317445516586,
-0.0440276637673378,
0.03919115662574768,
-0.03627151623368263,
0.06491890549659729,
0.01914466731250286,
0.06827008724212646,
0.034179456532001495,
0.02078118547797203,
2.127481858818156e-33,
-0.03007582202553749,
-0.000707217666786164,
0.0638502985239029,
0.0023164115846157074,
-0.019606750458478928,
-0.000833823811262846,
-0.0000180285769602051,
0.0265339408069849,
0.08089786767959595,
0.08444293588399887,
-0.04325700178742409,
-0.03182275965809822,
-0.01000163983553648,
0.06014988198876381,
0.06686853617429733,
0.036691222339868546,
0.027984250336885452,
-0.08253795653581619,
-0.04573133587837219,
0.05844694748520851,
-0.0399305634200573,
-0.04853539913892746,
0.03096293844282627,
0.0008468730957247317,
0.0003926400386262685,
-0.012364840134978294,
-0.014642403461039066,
-0.0011628948850557208,
0.03851820528507233,
0.0008930923650041223,
0.05205271765589714,
-0.05487724021077156,
-0.06661782413721085,
0.001388604985550046,
-0.07072963565587997,
-0.05130859464406967,
-0.016217906028032303,
-0.009914174675941467,
-0.020725073292851448,
0.007449600379914045,
0.06686155498027802,
0.056910574436187744,
0.013660751283168793,
-0.058744654059410095,
0.019158026203513145,
0.1042160838842392,
-0.013895596377551556,
0.11532624065876007,
-0.03600167855620384,
-0.001500066020525992,
-0.04294586181640625,
0.005263683386147022,
-0.009758285246789455,
-0.043846067041158676,
-0.020972419530153275,
0.03464829921722412,
0.0671878382563591,
0.021780021488666534,
0.04084867611527443,
0.02394331805408001,
0.040130093693733215,
0.0061711957678198814,
-0.06846068054437637,
0.06208978220820427,
-0.05134271830320358,
-0.03405899181962013,
0.03451823443174362,
0.05404145270586014,
0.0032016385812312365,
0.05628238990902901,
-0.03493807464838028,
-0.0031759480480104685,
0.004081567283719778,
-0.08969803154468536,
-0.0007157404907047749,
0.046032074838876724,
-0.05431954935193062,
0.02551252953708172,
0.02932625263929367,
-0.024907927960157394,
-0.057412441819906235,
0.019215865060687065,
0.029942965134978294,
-0.050973080098629,
-0.01279074139893055,
0.025658896192908287,
0.030916117131710052,
-0.08714029937982559,
-0.06504518538713455,
0.011619932018220425,
-0.11940144747495651,
0.05441251024603844,
-0.0511656291782856,
0.010140808299183846,
0.03074074350297451,
-1.719504871188188e-33,
0.03255382552742958,
0.003173425793647766,
0.007664003875106573,
0.022232813760638237,
-0.07814635336399078,
-0.050333309918642044,
0.0021056062541902065,
0.017053695395588875,
0.043838806450366974,
-0.014452539384365082,
-0.024872269481420517,
-0.021632736548781395,
0.0019703407306224108,
-0.02622007578611374,
0.029821328818798065,
0.04024351015686989,
-0.0841636136174202,
0.05479177087545395,
0.01649688556790352,
0.008606580086052418,
0.012215576134622097,
0.0442679300904274,
-0.02144918590784073,
-0.10284987837076187,
0.04605382680892944,
0.06240522116422653,
0.08558974415063858,
0.01968998648226261,
0.0029470708686858416,
0.008127321489155293,
-0.023801319301128387,
-0.0147103825584054,
0.02084195427596569,
0.05187331140041351,
-0.07950109988451004,
-0.007331338711082935,
-0.017376411706209183,
-0.0463138073682785,
0.024331506341695786,
0.019295286387205124,
-0.06596219539642334,
0.04880305752158165,
-0.040860649198293686,
-0.06741293519735336,
-0.073113352060318,
0.03448079526424408,
0.01616690121591091,
0.10459573566913605,
0.029329121112823486,
0.08332344889640808,
-0.05793703347444534,
0.016775080934166908,
-0.045858483761548996,
0.05567669868469238,
0.04135151952505112,
0.1252528429031372,
-0.08791056275367737,
0.005174317397177219,
0.03766908496618271,
-0.017991064116358757,
0.006407774984836578,
-0.00030730332946404815,
-0.058507904410362244,
0.023476144298911095,
0.015106994658708572,
0.035446010529994965,
0.025601767003536224,
-0.009918829426169395,
-0.002523197326809168,
0.07805800437927246,
0.04348370060324669,
0.0318785160779953,
0.06730271130800247,
-0.029012756422162056,
-0.04138566926121712,
-0.005530509632080793,
-0.0190614964812994,
0.047237955033779144,
0.07837023586034775,
-0.002782850293442607,
-0.04808288440108299,
-0.15864874422550201,
0.0334707647562027,
0.11348585039377213,
-0.036928147077560425,
0.08481690287590027,
-0.021710723638534546,
-0.06920544803142548,
0.08936472982168198,
0.03231360763311386,
-0.0054608541540801525,
0.05243781954050064,
0.03131886199116707,
-0.0197126567363739,
-0.019733041524887085,
-4.90834572985932e-8,
-0.06144178658723831,
-0.031316373497247696,
-0.016743827611207962,
-0.0717671662569046,
-0.016107328236103058,
0.0031354001257568598,
0.03576520457863808,
0.05796932429075241,
-0.02659059502184391,
-0.10216067731380463,
0.10688987374305725,
-0.04154960438609123,
-0.06883373111486435,
0.02944965474307537,
-0.03402930125594139,
0.05051097646355629,
-0.004212057683616877,
0.010238319635391235,
-0.0463070310652256,
0.061753422021865845,
-0.06822474300861359,
-0.030678056180477142,
0.03709328919649124,
0.05626481771469116,
-0.13365969061851501,
-0.05708329379558563,
-0.04199707508087158,
0.008322867564857006,
0.01810450106859207,
-0.058893799781799316,
-0.07248082011938095,
0.0015436557587236166,
0.06551516056060791,
-0.022962424904108047,
0.0883476510643959,
0.022778576239943504,
-0.07204011082649231,
0.03234553709626198,
0.016627110540866852,
0.08675771206617355,
0.003207742003723979,
-0.005126383621245623,
-0.04986949637532234,
0.005252843257039785,
0.06889012455940247,
0.03147995471954346,
0.10100187361240387,
-0.010812913067638874,
-0.10549987107515335,
-0.06256912648677826,
-0.05126616731286049,
0.03545154258608818,
-0.059237897396087646,
0.059201329946517944,
-0.061867643147706985,
0.02905147336423397,
0.05066414922475815,
-0.10553552210330963,
0.017741067335009575,
0.08668607473373413,
-0.031306613236665726,
-0.015395481139421463,
-0.01929662562906742,
-0.08826474845409393
] |
1401.6396
|
Majid Zamani
|
Majid Zamani, Manuel Mazo Jr, Mahmoud Khaled, Alessandro Abate
|
Symbolic Abstractions of Networked Control Systems
|
22 pages, 8 figures, 1 table
| null | null | null |
math.OC cs.FL cs.SY
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The last decade has witnessed significant attention on networked control
systems (NCS) due to their ubiquitous presence in industrial applications, and,
in the particular case of wireless NCS, because of their architectural
flexibility and low installation and maintenance costs. In wireless NCS the
communication between sensors, controllers, and actuators is supported by a
communication channel that is likely to introduce variable communication
delays, packet losses, limited bandwidth, and other practical non-idealities
leading to numerous technical challenges. Although stability properties of NCS
have been investigated extensively in the literature, results for NCS under
more complex and general objectives, and in particular results dealing with
verification or controller synthesis for logical specifications, are much more
limited. This work investigates how to address such complex objectives by
constructively deriving symbolic models of NCS, while encompassing the
mentioned network non-idealities. The obtained abstracted (symbolic) models can
then be employed to synthesize hybrid controllers enforcing rich logical
specifications over the concrete NCS models. Examples of such general
specifications include properties expressed as formulae in linear temporal
logic (LTL) or as automata on infinite strings. We thus provide a general
synthesis framework that can be flexibly adapted to a number of NCS setups. We
illustrate the effectiveness of the results over some case studies.
|
[
{
"created": "Fri, 24 Jan 2014 16:42:20 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jul 2014 10:33:20 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Mar 2016 14:24:40 GMT",
"version": "v3"
},
{
"created": "Mon, 21 Nov 2016 11:23:48 GMT",
"version": "v4"
}
] |
2016-11-22
|
[
[
"Zamani",
"Majid",
""
],
[
"Mazo",
"Manuel",
"Jr"
],
[
"Khaled",
"Mahmoud",
""
],
[
"Abate",
"Alessandro",
""
]
] |
[
-0.030111055821180344,
-0.009868108667433262,
-0.05855950340628624,
-0.029129456728696823,
0.032370440661907196,
0.04342598095536232,
0.010971913114190102,
0.02418411150574684,
0.0076704686507582664,
0.06878794729709625,
0.006876333151012659,
-0.04773031547665596,
0.025704804807901382,
0.02072499692440033,
0.00734241446480155,
0.025275323539972305,
0.10383148491382599,
-0.0598720945417881,
-0.03455532714724541,
-0.025510521605610847,
0.02720262110233307,
0.09363747388124466,
-0.012402716092765331,
0.009720844216644764,
-0.08324440568685532,
0.02370281331241131,
-0.024610163643956184,
-0.08617988973855972,
-0.041267041116952896,
-0.0013619204983115196,
-0.03079419583082199,
-0.07341445982456207,
-0.04351874068379402,
-0.05237065628170967,
0.0663786455988884,
0.010951409116387367,
0.04207921400666237,
0.003101533278822899,
0.002159178489819169,
-0.04081659018993378,
-0.02515817992389202,
-0.11274921894073486,
-0.03912097588181496,
0.03613182157278061,
-0.04286026209592819,
-0.0029395779129117727,
0.05710762366652489,
0.04561743885278702,
-0.011621694080531597,
-0.03883058950304985,
0.039483606815338135,
-0.014353417791426182,
0.021373948082327843,
-0.05113529413938522,
0.16499324142932892,
-0.024690115824341774,
-0.053994789719581604,
0.028335385024547577,
-0.013199022971093655,
0.014627034775912762,
-0.007893551141023636,
0.023825673386454582,
0.005081071984022856,
-0.0314473994076252,
-0.001582999131642282,
0.07942355424165726,
-0.06220999360084534,
0.020705780014395714,
0.03619726747274399,
0.014027254655957222,
-0.06588120758533478,
-0.05614565312862396,
-0.03288886696100235,
0.06142120063304901,
-0.019828297197818756,
-0.0037291226908564568,
0.07650494575500488,
-0.019345350563526154,
-0.003985684365034103,
-0.03305724263191223,
-0.055008478462696075,
0.029771996662020683,
-0.06041400507092476,
0.018264304846525192,
0.021621042862534523,
0.020512791350483894,
-0.054087549448013306,
0.07112054526805878,
0.14607559144496918,
-0.0037451302632689476,
0.004510796163231134,
-0.004652353469282389,
0.06828883290290833,
0.038714684545993805,
0.041637860238552094,
0.00040844533941708505,
-0.026949454098939896,
-0.03532226383686066,
0.01130871381610632,
0.06566331535577774,
0.03559117391705513,
0.040307626128196716,
0.031503017991781235,
-0.08623698353767395,
0.039454396814107895,
0.011980738490819931,
0.014730416238307953,
0.030417392030358315,
-0.004899081774055958,
-0.016653351485729218,
-0.03428483381867409,
-0.015774015337228775,
-0.002224815310910344,
0.024756528437137604,
-0.03214185684919357,
-0.021274317055940628,
0.03894034028053284,
-0.011413253843784332,
0.06594216078519821,
-0.00403268588706851,
-0.03560120612382889,
-0.075757697224617,
0.028398796916007996,
0.057480067014694214,
0.13657845556735992,
-0.002769770799204707,
0.02037785016000271,
2.97599941531877e-33,
-0.06863731890916824,
0.08152735233306885,
-0.06793884187936783,
0.059952348470687866,
0.05261223018169403,
-0.01558905839920044,
0.05686328932642937,
-0.0014050737954676151,
-0.036534424871206284,
0.025572489947080612,
-0.05185677111148834,
-0.00639114435762167,
-0.07728689163923264,
-0.037077646702528,
0.053911563009023666,
-0.02114979736506939,
0.02995910309255123,
-0.0733359307050705,
0.017438644543290138,
-0.033162377774715424,
0.04945755749940872,
-0.012025094591081142,
-0.03860582038760185,
0.05112010985612869,
-0.03301646560430527,
-0.07184302061796188,
-0.023882132023572922,
0.04952816292643547,
0.06427790224552155,
-0.012847253121435642,
0.0010181457037106156,
-0.027264323085546494,
0.05282051861286163,
0.06640350073575974,
-0.003140447661280632,
0.0025323054287582636,
-0.004181949887424707,
-0.05698854848742485,
0.02724122814834118,
-0.007188157644122839,
-0.002878496889024973,
-0.020585471764206886,
-0.07789386063814163,
0.04152637720108032,
-0.00643867626786232,
-0.05235368013381958,
-0.0650712326169014,
0.09438487142324448,
-0.0937030017375946,
-0.07430388778448105,
0.09435920417308807,
0.07246843725442886,
0.009237977676093578,
-0.053061749786138535,
0.030198177322745323,
-0.08648765087127686,
-0.05303632467985153,
0.05259370431303978,
-0.004829645622521639,
0.11787451058626175,
-0.08536071330308914,
0.008954737335443497,
0.015986425802111626,
-0.026698611676692963,
0.028446681797504425,
0.012337682768702507,
-0.10456684976816177,
0.010258381254971027,
0.09245066344738007,
-0.042727209627628326,
-0.03452329337596893,
-0.03990480676293373,
0.05764010176062584,
0.018596744164824486,
0.06702908873558044,
-0.05486871302127838,
-0.030960362404584885,
-0.04203876480460167,
-0.05422896519303322,
0.061478301882743835,
0.006941992323845625,
0.11699727177619934,
-0.07007143646478653,
0.12221807986497879,
0.10233760625123978,
-0.13409161567687988,
-0.06428827345371246,
-0.005794470198452473,
-0.0583856962621212,
-0.07505729794502258,
-0.02382582239806652,
-0.0044416869059205055,
-0.01183163933455944,
-0.007778016850352287,
-0.011513647623360157,
-4.639619264687951e-33,
0.03984467312693596,
0.010313176549971104,
-0.005180776119232178,
0.003222817089408636,
-0.06582310795783997,
-0.07769869267940521,
-0.027796054258942604,
-0.02736322022974491,
-0.046155694872140884,
-0.05418337136507034,
-0.006264997646212578,
-0.07681775093078613,
0.015588164329528809,
0.0002932729839812964,
-0.031587544828653336,
-0.03957562521100044,
-0.02327060140669346,
-0.10694598406553268,
0.02847745455801487,
0.030754152685403824,
-0.008738558739423752,
0.10462964326143265,
-0.08169687539339066,
-0.030050497502088547,
0.005342278629541397,
0.02179168350994587,
-0.0605662502348423,
0.09406983107328415,
0.005794207099825144,
0.04779510572552681,
-0.007567876018583775,
-0.07896510511636734,
0.025018684566020966,
-0.043782155960798264,
0.015583706088364124,
-0.057161808013916016,
0.0679345652461052,
0.017993895336985588,
-0.05452762544155121,
-0.025970160961151123,
0.08324231207370758,
-0.11480904370546341,
-0.04356972873210907,
-0.019597413018345833,
0.02133355848491192,
-0.0004988987930119038,
-0.018194295465946198,
0.003936524037271738,
-0.08045082539319992,
-0.0007445716764777899,
0.07297806441783905,
-0.0322929248213768,
0.04954775422811508,
-0.01893230341374874,
0.061317916959524155,
0.022267432883381844,
0.06546057015657425,
0.009113742038607597,
0.05543259158730507,
0.024024389684200287,
-0.032121118158102036,
-0.10250688344240189,
0.05713247135281563,
0.04177061468362808,
0.004200502764433622,
0.01697816699743271,
-0.009305212646722794,
0.007980799302458763,
0.07965415716171265,
0.011298587545752525,
0.014265170320868492,
0.028553659096360207,
-0.05377047508955002,
0.04353094473481178,
0.08143869787454605,
-0.05120159685611725,
0.007165158167481422,
0.06665471941232681,
0.019560541957616806,
-0.012266630306839943,
-0.10389328747987747,
0.07948428392410278,
0.03748588636517525,
0.026493629440665245,
-0.056344956159591675,
0.03558521345257759,
0.019311420619487762,
0.03439635410904884,
0.033982113003730774,
-0.00401681661605835,
0.013868069276213646,
0.009299924597144127,
0.013907566666603088,
0.09094055742025375,
-0.06757999956607819,
-5.482074527662917e-8,
-0.0656975582242012,
0.10144927352666855,
0.01568504236638546,
-0.01746823452413082,
0.05159614235162735,
0.05870693176984787,
0.002183923963457346,
-0.20632274448871613,
0.09597840905189514,
0.040242571383714676,
-0.0036336954217404127,
0.05435258522629738,
-0.019224269315600395,
-0.08377806097269058,
-0.06081066653132439,
0.046938974410295486,
0.0306551456451416,
-0.08065047860145569,
0.02441907301545143,
0.04194921627640724,
0.044822026044130325,
0.01578497141599655,
-0.11558403819799423,
0.059083886444568634,
0.0407073013484478,
-0.0017190262442454696,
-0.023450743407011032,
0.048207011073827744,
0.051170650869607925,
0.09254424273967743,
0.02640646882355213,
-0.0010033114813268185,
0.09637647122144699,
0.06548776477575302,
-0.015466912649571896,
-0.059102240949869156,
-0.01835598051548004,
-0.031732045114040375,
0.04378652572631836,
-0.0033410240430384874,
-0.01816100999712944,
0.042280375957489014,
-0.08152063190937042,
-0.013776686042547226,
0.015723228454589844,
-0.017255285754799843,
-0.018569091334939003,
-0.028276246041059494,
-0.06168772280216217,
0.01868917979300022,
0.023209478706121445,
-0.0019057014724239707,
-0.023972924798727036,
0.02021826058626175,
-0.052322473376989365,
-0.02558807097375393,
0.032589588314294815,
-0.07108061015605927,
-0.03980236127972603,
0.011466631665825844,
-0.043166279792785645,
0.07160386443138123,
-0.0021746049169451,
-0.032417189329862595
] | null | null | null | null | null | null | null |
[
-0.030111055821180344,
-0.009868108667433262,
-0.05855950340628624,
-0.029129456728696823,
0.032370440661907196,
0.04342598095536232,
0.010971913114190102,
0.02418411150574684,
0.0076704686507582664,
0.06878794729709625,
0.006876333151012659,
-0.04773031547665596,
0.025704804807901382,
0.02072499692440033,
0.00734241446480155,
0.025275323539972305,
0.10383148491382599,
-0.0598720945417881,
-0.03455532714724541,
-0.025510521605610847,
0.02720262110233307,
0.09363747388124466,
-0.012402716092765331,
0.009720844216644764,
-0.08324440568685532,
0.02370281331241131,
-0.024610163643956184,
-0.08617988973855972,
-0.041267041116952896,
-0.0013619204983115196,
-0.03079419583082199,
-0.07341445982456207,
-0.04351874068379402,
-0.05237065628170967,
0.0663786455988884,
0.010951409116387367,
0.04207921400666237,
0.003101533278822899,
0.002159178489819169,
-0.04081659018993378,
-0.02515817992389202,
-0.11274921894073486,
-0.03912097588181496,
0.03613182157278061,
-0.04286026209592819,
-0.0029395779129117727,
0.05710762366652489,
0.04561743885278702,
-0.011621694080531597,
-0.03883058950304985,
0.039483606815338135,
-0.014353417791426182,
0.021373948082327843,
-0.05113529413938522,
0.16499324142932892,
-0.024690115824341774,
-0.053994789719581604,
0.028335385024547577,
-0.013199022971093655,
0.014627034775912762,
-0.007893551141023636,
0.023825673386454582,
0.005081071984022856,
-0.0314473994076252,
-0.001582999131642282,
0.07942355424165726,
-0.06220999360084534,
0.020705780014395714,
0.03619726747274399,
0.014027254655957222,
-0.06588120758533478,
-0.05614565312862396,
-0.03288886696100235,
0.06142120063304901,
-0.019828297197818756,
-0.0037291226908564568,
0.07650494575500488,
-0.019345350563526154,
-0.003985684365034103,
-0.03305724263191223,
-0.055008478462696075,
0.029771996662020683,
-0.06041400507092476,
0.018264304846525192,
0.021621042862534523,
0.020512791350483894,
-0.054087549448013306,
0.07112054526805878,
0.14607559144496918,
-0.0037451302632689476,
0.004510796163231134,
-0.004652353469282389,
0.06828883290290833,
0.038714684545993805,
0.041637860238552094,
0.00040844533941708505,
-0.026949454098939896,
-0.03532226383686066,
0.01130871381610632,
0.06566331535577774,
0.03559117391705513,
0.040307626128196716,
0.031503017991781235,
-0.08623698353767395,
0.039454396814107895,
0.011980738490819931,
0.014730416238307953,
0.030417392030358315,
-0.004899081774055958,
-0.016653351485729218,
-0.03428483381867409,
-0.015774015337228775,
-0.002224815310910344,
0.024756528437137604,
-0.03214185684919357,
-0.021274317055940628,
0.03894034028053284,
-0.011413253843784332,
0.06594216078519821,
-0.00403268588706851,
-0.03560120612382889,
-0.075757697224617,
0.028398796916007996,
0.057480067014694214,
0.13657845556735992,
-0.002769770799204707,
0.02037785016000271,
2.97599941531877e-33,
-0.06863731890916824,
0.08152735233306885,
-0.06793884187936783,
0.059952348470687866,
0.05261223018169403,
-0.01558905839920044,
0.05686328932642937,
-0.0014050737954676151,
-0.036534424871206284,
0.025572489947080612,
-0.05185677111148834,
-0.00639114435762167,
-0.07728689163923264,
-0.037077646702528,
0.053911563009023666,
-0.02114979736506939,
0.02995910309255123,
-0.0733359307050705,
0.017438644543290138,
-0.033162377774715424,
0.04945755749940872,
-0.012025094591081142,
-0.03860582038760185,
0.05112010985612869,
-0.03301646560430527,
-0.07184302061796188,
-0.023882132023572922,
0.04952816292643547,
0.06427790224552155,
-0.012847253121435642,
0.0010181457037106156,
-0.027264323085546494,
0.05282051861286163,
0.06640350073575974,
-0.003140447661280632,
0.0025323054287582636,
-0.004181949887424707,
-0.05698854848742485,
0.02724122814834118,
-0.007188157644122839,
-0.002878496889024973,
-0.020585471764206886,
-0.07789386063814163,
0.04152637720108032,
-0.00643867626786232,
-0.05235368013381958,
-0.0650712326169014,
0.09438487142324448,
-0.0937030017375946,
-0.07430388778448105,
0.09435920417308807,
0.07246843725442886,
0.009237977676093578,
-0.053061749786138535,
0.030198177322745323,
-0.08648765087127686,
-0.05303632467985153,
0.05259370431303978,
-0.004829645622521639,
0.11787451058626175,
-0.08536071330308914,
0.008954737335443497,
0.015986425802111626,
-0.026698611676692963,
0.028446681797504425,
0.012337682768702507,
-0.10456684976816177,
0.010258381254971027,
0.09245066344738007,
-0.042727209627628326,
-0.03452329337596893,
-0.03990480676293373,
0.05764010176062584,
0.018596744164824486,
0.06702908873558044,
-0.05486871302127838,
-0.030960362404584885,
-0.04203876480460167,
-0.05422896519303322,
0.061478301882743835,
0.006941992323845625,
0.11699727177619934,
-0.07007143646478653,
0.12221807986497879,
0.10233760625123978,
-0.13409161567687988,
-0.06428827345371246,
-0.005794470198452473,
-0.0583856962621212,
-0.07505729794502258,
-0.02382582239806652,
-0.0044416869059205055,
-0.01183163933455944,
-0.007778016850352287,
-0.011513647623360157,
-4.639619264687951e-33,
0.03984467312693596,
0.010313176549971104,
-0.005180776119232178,
0.003222817089408636,
-0.06582310795783997,
-0.07769869267940521,
-0.027796054258942604,
-0.02736322022974491,
-0.046155694872140884,
-0.05418337136507034,
-0.006264997646212578,
-0.07681775093078613,
0.015588164329528809,
0.0002932729839812964,
-0.031587544828653336,
-0.03957562521100044,
-0.02327060140669346,
-0.10694598406553268,
0.02847745455801487,
0.030754152685403824,
-0.008738558739423752,
0.10462964326143265,
-0.08169687539339066,
-0.030050497502088547,
0.005342278629541397,
0.02179168350994587,
-0.0605662502348423,
0.09406983107328415,
0.005794207099825144,
0.04779510572552681,
-0.007567876018583775,
-0.07896510511636734,
0.025018684566020966,
-0.043782155960798264,
0.015583706088364124,
-0.057161808013916016,
0.0679345652461052,
0.017993895336985588,
-0.05452762544155121,
-0.025970160961151123,
0.08324231207370758,
-0.11480904370546341,
-0.04356972873210907,
-0.019597413018345833,
0.02133355848491192,
-0.0004988987930119038,
-0.018194295465946198,
0.003936524037271738,
-0.08045082539319992,
-0.0007445716764777899,
0.07297806441783905,
-0.0322929248213768,
0.04954775422811508,
-0.01893230341374874,
0.061317916959524155,
0.022267432883381844,
0.06546057015657425,
0.009113742038607597,
0.05543259158730507,
0.024024389684200287,
-0.032121118158102036,
-0.10250688344240189,
0.05713247135281563,
0.04177061468362808,
0.004200502764433622,
0.01697816699743271,
-0.009305212646722794,
0.007980799302458763,
0.07965415716171265,
0.011298587545752525,
0.014265170320868492,
0.028553659096360207,
-0.05377047508955002,
0.04353094473481178,
0.08143869787454605,
-0.05120159685611725,
0.007165158167481422,
0.06665471941232681,
0.019560541957616806,
-0.012266630306839943,
-0.10389328747987747,
0.07948428392410278,
0.03748588636517525,
0.026493629440665245,
-0.056344956159591675,
0.03558521345257759,
0.019311420619487762,
0.03439635410904884,
0.033982113003730774,
-0.00401681661605835,
0.013868069276213646,
0.009299924597144127,
0.013907566666603088,
0.09094055742025375,
-0.06757999956607819,
-5.482074527662917e-8,
-0.0656975582242012,
0.10144927352666855,
0.01568504236638546,
-0.01746823452413082,
0.05159614235162735,
0.05870693176984787,
0.002183923963457346,
-0.20632274448871613,
0.09597840905189514,
0.040242571383714676,
-0.0036336954217404127,
0.05435258522629738,
-0.019224269315600395,
-0.08377806097269058,
-0.06081066653132439,
0.046938974410295486,
0.0306551456451416,
-0.08065047860145569,
0.02441907301545143,
0.04194921627640724,
0.044822026044130325,
0.01578497141599655,
-0.11558403819799423,
0.059083886444568634,
0.0407073013484478,
-0.0017190262442454696,
-0.023450743407011032,
0.048207011073827744,
0.051170650869607925,
0.09254424273967743,
0.02640646882355213,
-0.0010033114813268185,
0.09637647122144699,
0.06548776477575302,
-0.015466912649571896,
-0.059102240949869156,
-0.01835598051548004,
-0.031732045114040375,
0.04378652572631836,
-0.0033410240430384874,
-0.01816100999712944,
0.042280375957489014,
-0.08152063190937042,
-0.013776686042547226,
0.015723228454589844,
-0.017255285754799843,
-0.018569091334939003,
-0.028276246041059494,
-0.06168772280216217,
0.01868917979300022,
0.023209478706121445,
-0.0019057014724239707,
-0.023972924798727036,
0.02021826058626175,
-0.052322473376989365,
-0.02558807097375393,
0.032589588314294815,
-0.07108061015605927,
-0.03980236127972603,
0.011466631665825844,
-0.043166279792785645,
0.07160386443138123,
-0.0021746049169451,
-0.032417189329862595
] |
1401.6399
|
Daniel Lemire
|
Daniel Lemire, Leonid Boytsov, Nathan Kurz
|
SIMD Compression and the Intersection of Sorted Integers
| null |
Software: Practice and Experience Volume 46, Issue 6, pages
723-749, June 2016
|
10.1002/spe.2326
| null |
cs.IR cs.DB cs.PF
|
http://creativecommons.org/licenses/by/4.0/
|
Sorted lists of integers are commonly used in inverted indexes and database
systems. They are often compressed in memory. We can use the SIMD instructions
available in common processors to boost the speed of integer compression
schemes. Our S4-BP128-D4 scheme uses as little as 0.7 CPU cycles per decoded
integer while still providing state-of-the-art compression.
However, if the subsequent processing of the integers is slow, the effort
spent on optimizing decoding speed can be wasted. To show that it does not have
to be so, we (1) vectorize and optimize the intersection of posting lists; (2)
introduce the SIMD Galloping algorithm. We exploit the fact that one SIMD
instruction can compare 4 pairs of integers at once.
We experiment with two TREC text collections, GOV2 and ClueWeb09 (Category
B), using logs from the TREC million-query track. We show that using only the
SIMD instructions ubiquitous in all modern CPUs, our techniques for conjunctive
queries can double the speed of a state-of-the-art approach.
|
[
{
"created": "Fri, 24 Jan 2014 16:53:37 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Mar 2015 19:50:27 GMT",
"version": "v10"
},
{
"created": "Thu, 12 Mar 2015 01:32:13 GMT",
"version": "v11"
},
{
"created": "Thu, 7 May 2015 00:52:07 GMT",
"version": "v12"
},
{
"created": "Mon, 20 Apr 2020 19:42:24 GMT",
"version": "v13"
},
{
"created": "Mon, 27 Jan 2014 16:37:12 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Feb 2014 01:02:27 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Feb 2014 23:38:50 GMT",
"version": "v4"
},
{
"created": "Mon, 28 Apr 2014 19:15:10 GMT",
"version": "v5"
},
{
"created": "Thu, 15 May 2014 14:57:33 GMT",
"version": "v6"
},
{
"created": "Thu, 17 Jul 2014 19:42:12 GMT",
"version": "v7"
},
{
"created": "Wed, 23 Jul 2014 19:16:39 GMT",
"version": "v8"
},
{
"created": "Wed, 24 Dec 2014 20:30:29 GMT",
"version": "v9"
}
] |
2020-04-22
|
[
[
"Lemire",
"Daniel",
""
],
[
"Boytsov",
"Leonid",
""
],
[
"Kurz",
"Nathan",
""
]
] |
[
-0.03700541704893112,
0.0919654592871666,
-0.037119049578905106,
-0.010511485859751701,
-0.01829846389591694,
-0.06501643359661102,
-0.0024732460733503103,
-0.015797942876815796,
-0.00947174709290266,
-0.015175050124526024,
-0.05930241197347641,
0.08616626262664795,
0.016949500888586044,
-0.04412444308400154,
-0.057723306119441986,
-0.019132517278194427,
0.04546252265572548,
0.13284121453762054,
-0.039244722574949265,
-0.06066570803523064,
-0.028195133432745934,
-0.015192577615380287,
-0.0554661750793457,
0.0031578626949340105,
0.03688622638583183,
-0.00995714869350195,
-0.043284740298986435,
-0.04679597541689873,
0.03349331393837929,
0.0049637299962341785,
0.01903984509408474,
0.02800813317298889,
0.09283360838890076,
0.05646507441997528,
-0.01368899829685688,
-0.003803516272455454,
0.07642602920532227,
-0.0925939604640007,
-0.006601317320019007,
0.0023228712379932404,
-0.06347937881946564,
0.06533442437648773,
0.010961737483739853,
0.04105229303240776,
0.0034787096083164215,
0.08222972601652145,
-0.002460093703120947,
0.02942599169909954,
-0.05853432044386864,
-0.02670343779027462,
-0.04556231200695038,
0.07273922860622406,
-0.06969241797924042,
0.050146300345659256,
-0.09045997262001038,
0.008396961726248264,
-0.046110812574625015,
-0.005979742854833603,
-0.0147605761885643,
0.046481579542160034,
-0.05181252583861351,
-0.05980728194117546,
0.02393512800335884,
-0.02828863635659218,
-0.0046485117636621,
-0.03756718710064888,
0.09908624738454819,
0.040071040391922,
0.0564434714615345,
0.016765879467129707,
-0.005016364622861147,
0.08834236115217209,
-0.08035305142402649,
0.09424062073230743,
-0.08593258261680603,
0.09161621332168579,
-0.004617948550730944,
-0.07562711834907532,
-0.04681780934333801,
-0.038467779755592346,
-0.0050063589587807655,
-0.04199269413948059,
0.018229380249977112,
-0.028246723115444183,
0.046322111040353775,
-0.10563015937805176,
0.06262693554162979,
0.02263440378010273,
0.015417443588376045,
0.018463939428329468,
-0.01292804442346096,
0.027534784749150276,
0.08754947781562805,
-0.05463453382253647,
0.03228508308529854,
0.04603271558880806,
0.034532785415649414,
0.0479205921292305,
-0.005241891369223595,
0.09219765663146973,
0.023031003773212433,
0.09401849657297134,
-0.014815244823694229,
-0.012657265178859234,
-0.049507271498441696,
-0.019977569580078125,
0.06452329456806183,
0.06142798438668251,
-0.0300106480717659,
-0.10013745725154877,
0.04567329213023186,
0.04000440239906311,
0.06386581808328629,
-0.05500369146466255,
0.017695078626275063,
-0.011316868476569653,
-0.03091401793062687,
0.028448548167943954,
0.05428951606154442,
0.009284988977015018,
-0.03316774219274521,
-3.406053679100296e-7,
-0.008229191415011883,
-0.0007458757609128952,
0.03853699192404747,
0.005069964099675417,
-0.05740050598978996,
3.841347295858274e-33,
0.04211420193314552,
0.07075515389442444,
0.0595274455845356,
-0.011465353891253471,
-0.05210307613015175,
0.004458695650100708,
0.004147891886532307,
0.005261620972305536,
-0.043338220566511154,
0.07558640837669373,
-0.03845125436782837,
-0.03442028909921646,
0.05515943467617035,
0.030234722420573235,
0.055975597351789474,
-0.032124076038599014,
0.011007599532604218,
0.023733071982860565,
-0.03898173198103905,
-0.07457023859024048,
0.07621021568775177,
-0.0438147708773613,
-0.04945015162229538,
-0.007483930326998234,
0.060491494834423065,
0.007275174371898174,
-0.045031726360321045,
-0.09505771100521088,
0.05978379398584366,
0.02627057395875454,
-0.08159667253494263,
-0.0037162872031331062,
-0.03683009743690491,
0.01716112531721592,
0.09319768846035004,
0.012997125275433064,
0.025654036551713943,
-0.06075423210859299,
-0.01682169735431671,
-0.0027504218742251396,
-0.0146448640152812,
0.030231263488531113,
0.0034474264830350876,
-0.03850124776363373,
-0.08748871088027954,
-0.030764160677790642,
-0.07981009781360626,
0.06351771205663681,
0.03988796845078468,
-0.018331870436668396,
0.05546550080180168,
0.029033798724412918,
-0.05100478231906891,
0.029629454016685486,
0.06703371554613113,
-0.0873117670416832,
0.07662709057331085,
0.0021996386349201202,
0.08801515400409698,
0.2155410349369049,
-0.00019424445054028183,
-0.014586158096790314,
-0.06403942406177521,
0.029884396120905876,
0.0033466359600424767,
0.021432993933558464,
-0.007561495527625084,
0.03892333433032036,
-0.012339584529399872,
0.05408952012658119,
-0.04971617832779884,
-0.010804074816405773,
0.029446624219417572,
-0.02063261903822422,
0.04537365585565567,
0.01805790700018406,
0.052968449890613556,
-0.07351016998291016,
-0.047220099717378616,
-0.07061903923749924,
-0.012573843821883202,
-0.003403503680601716,
0.022158633917570114,
0.0012410040944814682,
0.007536121178418398,
-0.1329842209815979,
0.01559820119291544,
-0.006726460997015238,
0.0003581589553505182,
-0.024562213569879532,
-0.058694884181022644,
0.017425838857889175,
0.06233934313058853,
-0.05106991529464722,
-0.013078191317617893,
-3.50040948573967e-33,
-0.06042370945215225,
-0.02521965652704239,
-0.021666409447789192,
0.0649084523320198,
-0.06032007560133934,
-0.08531741052865982,
0.06086654216051102,
-0.08237063884735107,
-0.00962693989276886,
-0.11432117968797684,
-0.05246022716164589,
-0.0479825884103775,
0.06313713639974594,
-0.00019443960627540946,
0.061229605227708817,
0.016969529911875725,
-0.05147217959165573,
0.005458071827888489,
-0.03815072402358055,
0.05111043527722359,
-0.04035418853163719,
0.07813771814107895,
-0.01343732513487339,
0.030125746503472328,
0.040034204721450806,
0.02303987927734852,
0.019374042749404907,
0.007408923003822565,
0.03630165010690689,
-0.0223074983805418,
-0.020610874518752098,
-0.021560583263635635,
-0.01989975944161415,
-0.009797963313758373,
-0.0656035766005516,
-0.00787898525595665,
0.04109177738428116,
0.00947430357336998,
-0.03960517793893814,
0.047532495111227036,
0.04105598106980324,
0.020652301609516144,
0.026562200859189034,
0.06098117306828499,
-0.0018692573066800833,
-0.016628319397568703,
-0.15206092596054077,
0.02505747601389885,
0.03876592963933945,
-0.012108221650123596,
0.0025562639348208904,
0.0549556165933609,
-0.020798852667212486,
0.06828593462705612,
0.10592720657587051,
-0.10139906406402588,
-0.14140684902668,
0.015451784245669842,
0.02092251181602478,
0.008852226659655571,
-0.0075148711912333965,
-0.0062117017805576324,
0.0383443646132946,
0.022548429667949677,
0.0779251903295517,
-0.06425680965185165,
-0.019310927018523216,
-0.0577118806540966,
-0.09719111025333405,
-0.015223369002342224,
0.030106810852885246,
-0.04594891890883446,
-0.036062147468328476,
0.014126201160252094,
-0.07748661190271378,
-0.015136363916099072,
0.03268970176577568,
0.08293857425451279,
-0.03720410168170929,
0.0856516882777214,
-0.03477774187922478,
0.07835683971643448,
0.017670659348368645,
-0.01668507419526577,
-0.041806455701589584,
0.035648297518491745,
0.03077218122780323,
0.02762494422495365,
-0.014657005667686462,
-0.012469510547816753,
-0.06332006305456161,
-0.011010437272489071,
0.060030438005924225,
0.048635199666023254,
0.03465000540018082,
-4.7018225757256005e-8,
-0.0016838466981425881,
-0.03922262415289879,
-0.05474041774868965,
-0.012631143443286419,
0.0978461429476738,
0.03143947198987007,
-0.07834819704294205,
0.07782190293073654,
0.0032090931199491024,
-0.06331214308738708,
0.1246260479092598,
-0.03153546527028084,
-0.0332489050924778,
-0.031989797949790955,
0.08811739832162857,
0.06271029263734818,
-0.03292689472436905,
-0.14234964549541473,
-0.033095382153987885,
0.02375652827322483,
-0.04920812323689461,
0.05604756250977516,
0.021482767537236214,
0.016817331314086914,
-0.010169976390898228,
-0.0275201927870512,
0.08146312832832336,
0.08758126944303513,
0.10642816871404648,
0.007896967232227325,
-0.015208507888019085,
-0.011703919619321823,
-0.02588212862610817,
-0.08858850598335266,
0.03840402513742447,
0.026801280677318573,
-0.004314495250582695,
0.05546233057975769,
-0.008282681927084923,
-0.047682616859674454,
0.029368877410888672,
-0.05029720813035965,
-0.04782509431242943,
0.020118363201618195,
0.05849285423755646,
-0.08881837874650955,
-0.01345585472881794,
-0.01676763966679573,
-0.03512705862522125,
0.022278187796473503,
-0.08398480713367462,
-0.01886443793773651,
0.021376248449087143,
0.044445354491472244,
0.016980087384581566,
0.0334555059671402,
-0.06107613816857338,
-0.01827898994088173,
0.020164048299193382,
0.005672764964401722,
0.06134568899869919,
-0.04119061306118965,
-0.04242338612675667,
-0.008007475174963474
] |
SIMD Compression and the Intersection of Sorted Integers
|
http://arxiv.org/abs/1401.6399v12
|
http://arxiv.org/pdf/1401.6399v12.pdf
|
https://github.com/lemire/SIMDCompressionAndIntersection
| true | true |
https://paperswithcode.com/paper/simd-compression-and-the-intersection-of
|
[
-0.03700541704893112,
0.0919654592871666,
-0.037119049578905106,
-0.010511485859751701,
-0.01829846389591694,
-0.06501643359661102,
-0.0024732460733503103,
-0.015797942876815796,
-0.00947174709290266,
-0.015175050124526024,
-0.05930241197347641,
0.08616626262664795,
0.016949500888586044,
-0.04412444308400154,
-0.057723306119441986,
-0.019132517278194427,
0.04546252265572548,
0.13284121453762054,
-0.039244722574949265,
-0.06066570803523064,
-0.028195133432745934,
-0.015192577615380287,
-0.0554661750793457,
0.0031578626949340105,
0.03688622638583183,
-0.00995714869350195,
-0.043284740298986435,
-0.04679597541689873,
0.03349331393837929,
0.0049637299962341785,
0.01903984509408474,
0.02800813317298889,
0.09283360838890076,
0.05646507441997528,
-0.01368899829685688,
-0.003803516272455454,
0.07642602920532227,
-0.0925939604640007,
-0.006601317320019007,
0.0023228712379932404,
-0.06347937881946564,
0.06533442437648773,
0.010961737483739853,
0.04105229303240776,
0.0034787096083164215,
0.08222972601652145,
-0.002460093703120947,
0.02942599169909954,
-0.05853432044386864,
-0.02670343779027462,
-0.04556231200695038,
0.07273922860622406,
-0.06969241797924042,
0.050146300345659256,
-0.09045997262001038,
0.008396961726248264,
-0.046110812574625015,
-0.005979742854833603,
-0.0147605761885643,
0.046481579542160034,
-0.05181252583861351,
-0.05980728194117546,
0.02393512800335884,
-0.02828863635659218,
-0.0046485117636621,
-0.03756718710064888,
0.09908624738454819,
0.040071040391922,
0.0564434714615345,
0.016765879467129707,
-0.005016364622861147,
0.08834236115217209,
-0.08035305142402649,
0.09424062073230743,
-0.08593258261680603,
0.09161621332168579,
-0.004617948550730944,
-0.07562711834907532,
-0.04681780934333801,
-0.038467779755592346,
-0.0050063589587807655,
-0.04199269413948059,
0.018229380249977112,
-0.028246723115444183,
0.046322111040353775,
-0.10563015937805176,
0.06262693554162979,
0.02263440378010273,
0.015417443588376045,
0.018463939428329468,
-0.01292804442346096,
0.027534784749150276,
0.08754947781562805,
-0.05463453382253647,
0.03228508308529854,
0.04603271558880806,
0.034532785415649414,
0.0479205921292305,
-0.005241891369223595,
0.09219765663146973,
0.023031003773212433,
0.09401849657297134,
-0.014815244823694229,
-0.012657265178859234,
-0.049507271498441696,
-0.019977569580078125,
0.06452329456806183,
0.06142798438668251,
-0.0300106480717659,
-0.10013745725154877,
0.04567329213023186,
0.04000440239906311,
0.06386581808328629,
-0.05500369146466255,
0.017695078626275063,
-0.011316868476569653,
-0.03091401793062687,
0.028448548167943954,
0.05428951606154442,
0.009284988977015018,
-0.03316774219274521,
-3.406053679100296e-7,
-0.008229191415011883,
-0.0007458757609128952,
0.03853699192404747,
0.005069964099675417,
-0.05740050598978996,
3.841347295858274e-33,
0.04211420193314552,
0.07075515389442444,
0.0595274455845356,
-0.011465353891253471,
-0.05210307613015175,
0.004458695650100708,
0.004147891886532307,
0.005261620972305536,
-0.043338220566511154,
0.07558640837669373,
-0.03845125436782837,
-0.03442028909921646,
0.05515943467617035,
0.030234722420573235,
0.055975597351789474,
-0.032124076038599014,
0.011007599532604218,
0.023733071982860565,
-0.03898173198103905,
-0.07457023859024048,
0.07621021568775177,
-0.0438147708773613,
-0.04945015162229538,
-0.007483930326998234,
0.060491494834423065,
0.007275174371898174,
-0.045031726360321045,
-0.09505771100521088,
0.05978379398584366,
0.02627057395875454,
-0.08159667253494263,
-0.0037162872031331062,
-0.03683009743690491,
0.01716112531721592,
0.09319768846035004,
0.012997125275433064,
0.025654036551713943,
-0.06075423210859299,
-0.01682169735431671,
-0.0027504218742251396,
-0.0146448640152812,
0.030231263488531113,
0.0034474264830350876,
-0.03850124776363373,
-0.08748871088027954,
-0.030764160677790642,
-0.07981009781360626,
0.06351771205663681,
0.03988796845078468,
-0.018331870436668396,
0.05546550080180168,
0.029033798724412918,
-0.05100478231906891,
0.029629454016685486,
0.06703371554613113,
-0.0873117670416832,
0.07662709057331085,
0.0021996386349201202,
0.08801515400409698,
0.2155410349369049,
-0.00019424445054028183,
-0.014586158096790314,
-0.06403942406177521,
0.029884396120905876,
0.0033466359600424767,
0.021432993933558464,
-0.007561495527625084,
0.03892333433032036,
-0.012339584529399872,
0.05408952012658119,
-0.04971617832779884,
-0.010804074816405773,
0.029446624219417572,
-0.02063261903822422,
0.04537365585565567,
0.01805790700018406,
0.052968449890613556,
-0.07351016998291016,
-0.047220099717378616,
-0.07061903923749924,
-0.012573843821883202,
-0.003403503680601716,
0.022158633917570114,
0.0012410040944814682,
0.007536121178418398,
-0.1329842209815979,
0.01559820119291544,
-0.006726460997015238,
0.0003581589553505182,
-0.024562213569879532,
-0.058694884181022644,
0.017425838857889175,
0.06233934313058853,
-0.05106991529464722,
-0.013078191317617893,
-3.50040948573967e-33,
-0.06042370945215225,
-0.02521965652704239,
-0.021666409447789192,
0.0649084523320198,
-0.06032007560133934,
-0.08531741052865982,
0.06086654216051102,
-0.08237063884735107,
-0.00962693989276886,
-0.11432117968797684,
-0.05246022716164589,
-0.0479825884103775,
0.06313713639974594,
-0.00019443960627540946,
0.061229605227708817,
0.016969529911875725,
-0.05147217959165573,
0.005458071827888489,
-0.03815072402358055,
0.05111043527722359,
-0.04035418853163719,
0.07813771814107895,
-0.01343732513487339,
0.030125746503472328,
0.040034204721450806,
0.02303987927734852,
0.019374042749404907,
0.007408923003822565,
0.03630165010690689,
-0.0223074983805418,
-0.020610874518752098,
-0.021560583263635635,
-0.01989975944161415,
-0.009797963313758373,
-0.0656035766005516,
-0.00787898525595665,
0.04109177738428116,
0.00947430357336998,
-0.03960517793893814,
0.047532495111227036,
0.04105598106980324,
0.020652301609516144,
0.026562200859189034,
0.06098117306828499,
-0.0018692573066800833,
-0.016628319397568703,
-0.15206092596054077,
0.02505747601389885,
0.03876592963933945,
-0.012108221650123596,
0.0025562639348208904,
0.0549556165933609,
-0.020798852667212486,
0.06828593462705612,
0.10592720657587051,
-0.10139906406402588,
-0.14140684902668,
0.015451784245669842,
0.02092251181602478,
0.008852226659655571,
-0.0075148711912333965,
-0.0062117017805576324,
0.0383443646132946,
0.022548429667949677,
0.0779251903295517,
-0.06425680965185165,
-0.019310927018523216,
-0.0577118806540966,
-0.09719111025333405,
-0.015223369002342224,
0.030106810852885246,
-0.04594891890883446,
-0.036062147468328476,
0.014126201160252094,
-0.07748661190271378,
-0.015136363916099072,
0.03268970176577568,
0.08293857425451279,
-0.03720410168170929,
0.0856516882777214,
-0.03477774187922478,
0.07835683971643448,
0.017670659348368645,
-0.01668507419526577,
-0.041806455701589584,
0.035648297518491745,
0.03077218122780323,
0.02762494422495365,
-0.014657005667686462,
-0.012469510547816753,
-0.06332006305456161,
-0.011010437272489071,
0.060030438005924225,
0.048635199666023254,
0.03465000540018082,
-4.7018225757256005e-8,
-0.0016838466981425881,
-0.03922262415289879,
-0.05474041774868965,
-0.012631143443286419,
0.0978461429476738,
0.03143947198987007,
-0.07834819704294205,
0.07782190293073654,
0.0032090931199491024,
-0.06331214308738708,
0.1246260479092598,
-0.03153546527028084,
-0.0332489050924778,
-0.031989797949790955,
0.08811739832162857,
0.06271029263734818,
-0.03292689472436905,
-0.14234964549541473,
-0.033095382153987885,
0.02375652827322483,
-0.04920812323689461,
0.05604756250977516,
0.021482767537236214,
0.016817331314086914,
-0.010169976390898228,
-0.0275201927870512,
0.08146312832832336,
0.08758126944303513,
0.10642816871404648,
0.007896967232227325,
-0.015208507888019085,
-0.011703919619321823,
-0.02588212862610817,
-0.08858850598335266,
0.03840402513742447,
0.026801280677318573,
-0.004314495250582695,
0.05546233057975769,
-0.008282681927084923,
-0.047682616859674454,
0.029368877410888672,
-0.05029720813035965,
-0.04782509431242943,
0.020118363201618195,
0.05849285423755646,
-0.08881837874650955,
-0.01345585472881794,
-0.01676763966679573,
-0.03512705862522125,
0.022278187796473503,
-0.08398480713367462,
-0.01886443793773651,
0.021376248449087143,
0.044445354491472244,
0.016980087384581566,
0.0334555059671402,
-0.06107613816857338,
-0.01827898994088173,
0.020164048299193382,
0.005672764964401722,
0.06134568899869919,
-0.04119061306118965,
-0.04242338612675667,
-0.008007475174963474
] |
1401.6404
|
Ankit Sharma
|
Ankit Sharma, Jaideep Srivastava and Abhishek Chandra
|
Predicting Multi-actor collaborations using Hypergraphs
| null | null | null | null |
cs.SI physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Social networks are now ubiquitous and most of them contain interactions
involving multiple actors (groups) like author collaborations, teams or emails
in an organizations, etc. Hypergraphs are natural structures to effectively
capture multi-actor interactions which conventional dyadic graphs fail to
capture. In this work the problem of predicting collaborations is addressed
while modeling the collaboration network as a hypergraph network. The problem
of predicting future multi-actor collaboration is mapped to hyperedge
prediction problem. Given that the higher order edge prediction is an
inherently hard problem, in this work we restrict to the task of predicting
edges (collaborations) that have already been observed in past. In this work,
we propose a novel use of hyperincidence temporal tensors to capture time
varying hypergraphs and provides a tensor decomposition based prediction
algorithm. We quantitatively compare the performance of the hypergraphs based
approach with the conventional dyadic graph based approach. Our hypothesis that
hypergraphs preserve the information that simple graphs destroy is corroborated
by experiments using author collaboration network from the DBLP dataset. Our
results demonstrate the strength of hypergraph based approach to predict higher
order collaborations (size>4) which is very difficult using dyadic graph based
approach. Moreover, while predicting collaborations of size>2 hypergraphs in
most cases provide better results with an average increase of approx. 45% in
F-Score for different sizes = {3,4,5,6,7}.
|
[
{
"created": "Fri, 24 Jan 2014 17:10:16 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Sharma",
"Ankit",
""
],
[
"Srivastava",
"Jaideep",
""
],
[
"Chandra",
"Abhishek",
""
]
] |
[
-0.024040311574935913,
-0.051837995648384094,
-0.00007891826680861413,
-0.01455339603126049,
0.0621972382068634,
0.01285408716648817,
-0.04259814694523811,
-0.11053071171045303,
-0.018174847587943077,
-0.013309617526829243,
-0.06854696571826935,
-0.010977234691381454,
-0.04611721262335777,
0.15557190775871277,
-0.018430503085255623,
0.043492093682289124,
0.0018263700185343623,
-0.007379261776804924,
-0.030754415318369865,
-0.022862885147333145,
0.0021362013649195433,
0.01125841774046421,
-0.031244216486811638,
-0.03148921951651573,
0.08092954009771347,
-0.001240141224116087,
-0.017493339255452156,
-0.10311532765626907,
-0.049170494079589844,
0.058668605983257294,
0.0802634060382843,
0.011522301472723484,
-0.03086467646062374,
0.0032087580766528845,
-0.0895061194896698,
0.07572361081838608,
-0.06338537484407425,
-0.0017480602255091071,
0.04375937953591347,
-0.010499299503862858,
0.0190199576318264,
0.017304357141256332,
-0.004798492416739464,
0.060502789914608,
-0.014409004710614681,
0.060156527906656265,
-0.015035887248814106,
-0.0410199910402298,
-0.047659773379564285,
0.08633499592542648,
-0.0825144425034523,
-0.07742141932249069,
0.0005958451074548066,
-0.0022513549774885178,
0.04247384890913963,
-0.002990643959492445,
-0.0015575074357911944,
0.012951991520822048,
-0.04817664250731468,
-0.02360626496374607,
0.0395531952381134,
-0.06751379370689392,
-0.015504037030041218,
-0.07657076418399811,
-0.022996550425887108,
0.049224019050598145,
0.03715851157903671,
0.0744243934750557,
-0.060334838926792145,
0.06970985233783722,
0.01607057824730873,
0.013432735577225685,
-0.19867633283138275,
0.03236505389213562,
0.022061610594391823,
0.052890073508024216,
0.04212157800793648,
0.014074551872909069,
-0.007195931859314442,
-0.06615666300058365,
0.019012251868844032,
0.022628234699368477,
-0.029593491926789284,
-0.05184631049633026,
0.015462069772183895,
-0.017511583864688873,
0.02046121656894684,
0.03153674677014351,
0.02623886615037918,
0.00871801096946001,
-0.062012240290641785,
0.06876271963119507,
0.010736453346908092,
-0.011785461567342281,
0.04639064520597458,
0.03805779293179512,
0.04975622892379761,
-0.04001322388648987,
0.040411509573459625,
0.10390176624059677,
-0.059647347778081894,
-0.024839254096150398,
-0.009045676328241825,
-0.01611972786486149,
0.04808496683835983,
0.07861832529306412,
-0.03250595182180405,
0.002577392617240548,
-0.038075756281614304,
0.010488097555935383,
-0.009647086262702942,
0.09206263720989227,
0.04596121236681938,
-0.019891103729605675,
0.02892380952835083,
-0.01899084635078907,
0.029041968286037445,
0.036535318940877914,
0.05922602862119675,
0.09129220992326736,
0.013161452487111092,
0.016130484640598297,
0.0654635801911354,
-0.004733033943921328,
-0.01449534110724926,
0.06424834579229355,
-0.051829203963279724,
1.8988066979389578e-33,
0.0573127381503582,
0.01985391601920128,
0.029357701539993286,
0.0003720624081324786,
0.053024619817733765,
0.02578837238252163,
-0.031733375042676926,
-0.03456389531493187,
0.044443536549806595,
-0.08420007675886154,
-0.10274583846330643,
-0.00045623528421856463,
0.09190132468938828,
0.05842501297593117,
-0.06846930086612701,
-0.0044526900164783,
0.04917864501476288,
-0.008128901943564415,
-0.011820637620985508,
-0.07122299075126648,
-0.011753310449421406,
0.020914817228913307,
-0.024102453142404556,
0.06101047620177269,
-0.07637784630060196,
0.007898354902863503,
0.03859651833772659,
-0.01391131617128849,
0.06515627354383469,
0.003021040465682745,
-0.09709154814481735,
0.0058853356167674065,
-0.003100174944847822,
-0.00013434808352030814,
-0.006224772892892361,
0.04718027636408806,
-0.05277744308114052,
-0.059283547103405,
-0.01637832075357437,
-0.09607318043708801,
-0.025903409346938133,
0.030414143577218056,
-0.06293261051177979,
-0.09316430240869522,
-0.04761440306901932,
-0.05107974261045456,
-0.04432937502861023,
0.0397593192756176,
-0.02988865040242672,
-0.05052633956074715,
-0.00986208114773035,
-0.054400570690631866,
0.01823987253010273,
0.020793989300727844,
-0.02304926887154579,
-0.006422266364097595,
0.04734646901488304,
0.048811689019203186,
0.023747814819216728,
0.014325519092381,
0.028358420357108116,
0.004159502685070038,
0.03681448474526405,
0.09298113733530045,
-0.025880029425024986,
0.08651101589202881,
-0.037652019411325455,
0.026723647490143776,
0.0919666588306427,
-0.10327540338039398,
0.011112818494439125,
0.11573152244091034,
0.00848048273473978,
-0.06902111321687698,
-0.06613168120384216,
-0.018661344423890114,
0.036987390369176865,
-0.06677034497261047,
0.010372701101005077,
0.07420123368501663,
-0.0999719426035881,
-0.002701743273064494,
0.058544546365737915,
-0.08708163350820541,
-0.06105178967118263,
-0.01781087927520275,
0.040775422006845474,
-0.009235167875885963,
-0.03195394203066826,
0.03324393555521965,
-0.07821585983037949,
0.04084884375333786,
0.06327478587627411,
0.038649339228868484,
0.06950724869966507,
-3.1056123611763124e-33,
-0.009519346058368683,
0.034189146012067795,
0.09359409660100937,
0.0069250077940523624,
0.10770414769649506,
-0.05714821442961693,
-0.013381145894527435,
-0.019984446465969086,
-0.05633115395903587,
0.02367645688354969,
0.026391776278614998,
-0.10538741946220398,
0.009867137297987938,
-0.07564293593168259,
0.06793242692947388,
0.020131129771471024,
0.05633886158466339,
-0.027463989332318306,
-0.05031432956457138,
-0.0062248301692306995,
0.08190923929214478,
-0.009713325649499893,
-0.06069004908204079,
0.09893463551998138,
0.08414971828460693,
-0.0760916918516159,
0.07088444381952286,
0.008347098715603352,
-0.0573899932205677,
0.004928781185299158,
-0.021512938663363457,
-0.0890701562166214,
-0.04787126183509827,
-0.016734139993786812,
0.016676388680934906,
0.08705437928438187,
-0.01851838082075119,
0.014772416092455387,
-0.01521607581526041,
0.017756886780261993,
-0.0014360785717144608,
0.0396086759865284,
-0.09083359688520432,
0.05310025066137314,
-0.0714402124285698,
0.06653646379709244,
-0.08409412950277328,
0.004841204732656479,
-0.04276670143008232,
-0.02661905251443386,
-0.04011787101626396,
0.022095730528235435,
0.004175120033323765,
-0.07103309035301208,
-0.08016470819711685,
-0.02452368475496769,
0.06388669461011887,
0.0658494234085083,
0.02601308934390545,
0.02192484214901924,
-0.05627163127064705,
-0.04058254882693291,
0.010219070129096508,
0.076235331594944,
-0.012305229902267456,
-0.03274030610918999,
-0.00141341018024832,
-0.0037164422683417797,
-0.016740504652261734,
0.026149677112698555,
0.09302118420600891,
0.054759275168180466,
-0.07435393333435059,
0.014472756534814835,
0.056586652994155884,
-0.027576694265007973,
-0.008389323949813843,
0.02356598898768425,
-0.023504434153437614,
-0.06707253307104111,
0.018539153039455414,
0.05354154482483864,
0.058006562292575836,
0.022386588156223297,
0.019589366391301155,
0.04350695013999939,
0.010666859336197376,
0.11109880357980728,
0.015377029776573181,
0.010162580758333206,
-0.015858381986618042,
-0.08244532346725464,
-0.08005237579345703,
0.02129233442246914,
0.05043197050690651,
-3.786998092891736e-8,
-0.127812922000885,
0.03823142871260643,
-0.005096519365906715,
-0.03739946708083153,
-0.014146855100989342,
0.017520200461149216,
0.11130993813276291,
0.14916126430034637,
0.028001055121421814,
0.051552146673202515,
0.10405927151441574,
-0.03850997984409332,
-0.051231179386377335,
0.03457136079668999,
-0.005345349665731192,
-0.030302273109555244,
-0.011837288737297058,
-0.021423988044261932,
-0.010920125059783459,
0.02130790986120701,
0.037939734756946564,
-0.04355248063802719,
0.024134725332260132,
0.02283439226448536,
0.03880627825856209,
-0.04621041193604469,
-0.062027473002672195,
0.07206115126609802,
0.00669503677636385,
-0.00858378503471613,
-0.041317835450172424,
0.0043925694189965725,
-0.002362651750445366,
-0.01440928690135479,
-0.05211992189288139,
0.1125611737370491,
0.03804432973265648,
-0.054736070334911346,
-0.04448976367712021,
0.04724248871207237,
-0.024517329409718513,
0.07471683621406555,
-0.04824244976043701,
0.008147669956088066,
0.05447476729750633,
-0.035612303763628006,
-0.0073895831592381,
-0.03543563559651375,
-0.0011123660951852798,
-0.07801506668329239,
0.014928308315575123,
-0.009851938113570213,
-0.026429856196045876,
-0.01848924160003662,
0.04565061628818512,
0.00869777426123619,
-0.026860084384679794,
0.055976174771785736,
0.10274817794561386,
-0.045484550297260284,
0.0701216608285904,
-0.048378899693489075,
-0.06787493079900742,
-0.018939951434731483
] | null | null | null | null | null | null | null |
[
-0.024040311574935913,
-0.051837995648384094,
-0.00007891826680861413,
-0.01455339603126049,
0.0621972382068634,
0.01285408716648817,
-0.04259814694523811,
-0.11053071171045303,
-0.018174847587943077,
-0.013309617526829243,
-0.06854696571826935,
-0.010977234691381454,
-0.04611721262335777,
0.15557190775871277,
-0.018430503085255623,
0.043492093682289124,
0.0018263700185343623,
-0.007379261776804924,
-0.030754415318369865,
-0.022862885147333145,
0.0021362013649195433,
0.01125841774046421,
-0.031244216486811638,
-0.03148921951651573,
0.08092954009771347,
-0.001240141224116087,
-0.017493339255452156,
-0.10311532765626907,
-0.049170494079589844,
0.058668605983257294,
0.0802634060382843,
0.011522301472723484,
-0.03086467646062374,
0.0032087580766528845,
-0.0895061194896698,
0.07572361081838608,
-0.06338537484407425,
-0.0017480602255091071,
0.04375937953591347,
-0.010499299503862858,
0.0190199576318264,
0.017304357141256332,
-0.004798492416739464,
0.060502789914608,
-0.014409004710614681,
0.060156527906656265,
-0.015035887248814106,
-0.0410199910402298,
-0.047659773379564285,
0.08633499592542648,
-0.0825144425034523,
-0.07742141932249069,
0.0005958451074548066,
-0.0022513549774885178,
0.04247384890913963,
-0.002990643959492445,
-0.0015575074357911944,
0.012951991520822048,
-0.04817664250731468,
-0.02360626496374607,
0.0395531952381134,
-0.06751379370689392,
-0.015504037030041218,
-0.07657076418399811,
-0.022996550425887108,
0.049224019050598145,
0.03715851157903671,
0.0744243934750557,
-0.060334838926792145,
0.06970985233783722,
0.01607057824730873,
0.013432735577225685,
-0.19867633283138275,
0.03236505389213562,
0.022061610594391823,
0.052890073508024216,
0.04212157800793648,
0.014074551872909069,
-0.007195931859314442,
-0.06615666300058365,
0.019012251868844032,
0.022628234699368477,
-0.029593491926789284,
-0.05184631049633026,
0.015462069772183895,
-0.017511583864688873,
0.02046121656894684,
0.03153674677014351,
0.02623886615037918,
0.00871801096946001,
-0.062012240290641785,
0.06876271963119507,
0.010736453346908092,
-0.011785461567342281,
0.04639064520597458,
0.03805779293179512,
0.04975622892379761,
-0.04001322388648987,
0.040411509573459625,
0.10390176624059677,
-0.059647347778081894,
-0.024839254096150398,
-0.009045676328241825,
-0.01611972786486149,
0.04808496683835983,
0.07861832529306412,
-0.03250595182180405,
0.002577392617240548,
-0.038075756281614304,
0.010488097555935383,
-0.009647086262702942,
0.09206263720989227,
0.04596121236681938,
-0.019891103729605675,
0.02892380952835083,
-0.01899084635078907,
0.029041968286037445,
0.036535318940877914,
0.05922602862119675,
0.09129220992326736,
0.013161452487111092,
0.016130484640598297,
0.0654635801911354,
-0.004733033943921328,
-0.01449534110724926,
0.06424834579229355,
-0.051829203963279724,
1.8988066979389578e-33,
0.0573127381503582,
0.01985391601920128,
0.029357701539993286,
0.0003720624081324786,
0.053024619817733765,
0.02578837238252163,
-0.031733375042676926,
-0.03456389531493187,
0.044443536549806595,
-0.08420007675886154,
-0.10274583846330643,
-0.00045623528421856463,
0.09190132468938828,
0.05842501297593117,
-0.06846930086612701,
-0.0044526900164783,
0.04917864501476288,
-0.008128901943564415,
-0.011820637620985508,
-0.07122299075126648,
-0.011753310449421406,
0.020914817228913307,
-0.024102453142404556,
0.06101047620177269,
-0.07637784630060196,
0.007898354902863503,
0.03859651833772659,
-0.01391131617128849,
0.06515627354383469,
0.003021040465682745,
-0.09709154814481735,
0.0058853356167674065,
-0.003100174944847822,
-0.00013434808352030814,
-0.006224772892892361,
0.04718027636408806,
-0.05277744308114052,
-0.059283547103405,
-0.01637832075357437,
-0.09607318043708801,
-0.025903409346938133,
0.030414143577218056,
-0.06293261051177979,
-0.09316430240869522,
-0.04761440306901932,
-0.05107974261045456,
-0.04432937502861023,
0.0397593192756176,
-0.02988865040242672,
-0.05052633956074715,
-0.00986208114773035,
-0.054400570690631866,
0.01823987253010273,
0.020793989300727844,
-0.02304926887154579,
-0.006422266364097595,
0.04734646901488304,
0.048811689019203186,
0.023747814819216728,
0.014325519092381,
0.028358420357108116,
0.004159502685070038,
0.03681448474526405,
0.09298113733530045,
-0.025880029425024986,
0.08651101589202881,
-0.037652019411325455,
0.026723647490143776,
0.0919666588306427,
-0.10327540338039398,
0.011112818494439125,
0.11573152244091034,
0.00848048273473978,
-0.06902111321687698,
-0.06613168120384216,
-0.018661344423890114,
0.036987390369176865,
-0.06677034497261047,
0.010372701101005077,
0.07420123368501663,
-0.0999719426035881,
-0.002701743273064494,
0.058544546365737915,
-0.08708163350820541,
-0.06105178967118263,
-0.01781087927520275,
0.040775422006845474,
-0.009235167875885963,
-0.03195394203066826,
0.03324393555521965,
-0.07821585983037949,
0.04084884375333786,
0.06327478587627411,
0.038649339228868484,
0.06950724869966507,
-3.1056123611763124e-33,
-0.009519346058368683,
0.034189146012067795,
0.09359409660100937,
0.0069250077940523624,
0.10770414769649506,
-0.05714821442961693,
-0.013381145894527435,
-0.019984446465969086,
-0.05633115395903587,
0.02367645688354969,
0.026391776278614998,
-0.10538741946220398,
0.009867137297987938,
-0.07564293593168259,
0.06793242692947388,
0.020131129771471024,
0.05633886158466339,
-0.027463989332318306,
-0.05031432956457138,
-0.0062248301692306995,
0.08190923929214478,
-0.009713325649499893,
-0.06069004908204079,
0.09893463551998138,
0.08414971828460693,
-0.0760916918516159,
0.07088444381952286,
0.008347098715603352,
-0.0573899932205677,
0.004928781185299158,
-0.021512938663363457,
-0.0890701562166214,
-0.04787126183509827,
-0.016734139993786812,
0.016676388680934906,
0.08705437928438187,
-0.01851838082075119,
0.014772416092455387,
-0.01521607581526041,
0.017756886780261993,
-0.0014360785717144608,
0.0396086759865284,
-0.09083359688520432,
0.05310025066137314,
-0.0714402124285698,
0.06653646379709244,
-0.08409412950277328,
0.004841204732656479,
-0.04276670143008232,
-0.02661905251443386,
-0.04011787101626396,
0.022095730528235435,
0.004175120033323765,
-0.07103309035301208,
-0.08016470819711685,
-0.02452368475496769,
0.06388669461011887,
0.0658494234085083,
0.02601308934390545,
0.02192484214901924,
-0.05627163127064705,
-0.04058254882693291,
0.010219070129096508,
0.076235331594944,
-0.012305229902267456,
-0.03274030610918999,
-0.00141341018024832,
-0.0037164422683417797,
-0.016740504652261734,
0.026149677112698555,
0.09302118420600891,
0.054759275168180466,
-0.07435393333435059,
0.014472756534814835,
0.056586652994155884,
-0.027576694265007973,
-0.008389323949813843,
0.02356598898768425,
-0.023504434153437614,
-0.06707253307104111,
0.018539153039455414,
0.05354154482483864,
0.058006562292575836,
0.022386588156223297,
0.019589366391301155,
0.04350695013999939,
0.010666859336197376,
0.11109880357980728,
0.015377029776573181,
0.010162580758333206,
-0.015858381986618042,
-0.08244532346725464,
-0.08005237579345703,
0.02129233442246914,
0.05043197050690651,
-3.786998092891736e-8,
-0.127812922000885,
0.03823142871260643,
-0.005096519365906715,
-0.03739946708083153,
-0.014146855100989342,
0.017520200461149216,
0.11130993813276291,
0.14916126430034637,
0.028001055121421814,
0.051552146673202515,
0.10405927151441574,
-0.03850997984409332,
-0.051231179386377335,
0.03457136079668999,
-0.005345349665731192,
-0.030302273109555244,
-0.011837288737297058,
-0.021423988044261932,
-0.010920125059783459,
0.02130790986120701,
0.037939734756946564,
-0.04355248063802719,
0.024134725332260132,
0.02283439226448536,
0.03880627825856209,
-0.04621041193604469,
-0.062027473002672195,
0.07206115126609802,
0.00669503677636385,
-0.00858378503471613,
-0.041317835450172424,
0.0043925694189965725,
-0.002362651750445366,
-0.01440928690135479,
-0.05211992189288139,
0.1125611737370491,
0.03804432973265648,
-0.054736070334911346,
-0.04448976367712021,
0.04724248871207237,
-0.024517329409718513,
0.07471683621406555,
-0.04824244976043701,
0.008147669956088066,
0.05447476729750633,
-0.035612303763628006,
-0.0073895831592381,
-0.03543563559651375,
-0.0011123660951852798,
-0.07801506668329239,
0.014928308315575123,
-0.009851938113570213,
-0.026429856196045876,
-0.01848924160003662,
0.04565061628818512,
0.00869777426123619,
-0.026860084384679794,
0.055976174771785736,
0.10274817794561386,
-0.045484550297260284,
0.0701216608285904,
-0.048378899693489075,
-0.06787493079900742,
-0.018939951434731483
] |
1401.6406
|
Paul Dellar
|
Emma S. Warneford and Paul J. Dellar
|
Super- and sub-rotating equatorial jets: Newtonian cooling versus
Rayleigh friction
|
20 pages, 28 figures, generates 3.4MB PDF
| null | null | null |
physics.flu-dyn astro-ph.EP physics.ao-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Numerical simulations of the shallow water equations on rotating spheres
produce mixtures of robust vortices and alternating zonal jets, as seen in the
atmospheres of the gas giant planets. However, simulations that include
Rayleigh friction invariably produce a sub-rotating (retrograde) equatorial jet
for Jovian parameter regimes, whilst observations of Jupiter show a
super-rotating (prograde) equatorial jet that has persisted over several
decades. Super-rotating equatorial jets have recently been obtained in shallow
water simulations that include a Newtonian relaxation of perturbations to the
layer thickness to model radiative cooling to space, and in simulations of the
thermal shallow water equations that include a similar relaxation term in their
temperature equation. Simulations of global quasigeostrophic forms of these
different models produce equatorial jets in the same directions as the parent
models, suggesting that the mechanism responsible for setting the direction
lies within quasigeostrophic theory. We provide such a mechanism by calculating
the effective force acting on the thickness-weighted zonal mean flow due to the
decay of an equatorially trapped Rossby wave. Decay due to Newtonian cooling
creates an eastward zonal mean flow at the equator, consistent with the
formation of a super-rotating equatorial jet, while decay due to Rayleigh
friction leads to a westward zonal mean flow at the equator, consistent with
the formation of a sub-rotating equatorial jet. In both cases the meridionally
integrated zonal mean of the absolute zonal momentum is westward, consistent
with the standard result that Rossby waves carry westward pseudomomentum, but
this does not preclude the zonal mean flow being eastward on and close to the
equator.
|
[
{
"created": "Fri, 24 Jan 2014 17:25:45 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jan 2017 16:59:23 GMT",
"version": "v2"
}
] |
2017-01-05
|
[
[
"Warneford",
"Emma S.",
""
],
[
"Dellar",
"Paul J.",
""
]
] |
[
-0.036272041499614716,
-0.047116123139858246,
0.05833939462900162,
-0.017289871349930763,
0.05907959118485451,
-0.06350996345281601,
-0.07515372335910797,
0.01632612943649292,
0.020097089931368828,
0.03243741765618324,
-0.09694381803274155,
-0.014049287885427475,
0.0080745043233037,
-0.06028374657034874,
0.011844219639897346,
-0.04613321274518967,
-0.03882971405982971,
0.008116638287901878,
-0.014491008594632149,
-0.03143458440899849,
0.010999667458236217,
0.10910077393054962,
-0.026982760056853294,
0.06544196605682373,
-0.020080050453543663,
0.004874223843216896,
-0.02264261618256569,
0.08378416299819946,
-0.0007543367682956159,
0.10516292601823807,
0.006989228073507547,
0.08151817321777344,
-0.067841537296772,
-0.0023803056683391333,
-0.017519067972898483,
-0.029568295925855637,
-0.03735893592238426,
-0.039312198758125305,
-0.05943051353096962,
0.02922777645289898,
-0.014463633298873901,
-0.01555082481354475,
0.021354591473937035,
-0.010770588181912899,
0.004702604841440916,
-0.0050719063729047775,
-0.01867714524269104,
0.01919996179640293,
0.004417219199240208,
0.011183003894984722,
-0.026760822162032127,
-0.08720530569553375,
-0.08610482513904572,
0.013025293126702309,
-0.04692131653428078,
0.0011877387296408415,
-0.004362551961094141,
-0.03999023884534836,
0.013434982858598232,
-0.042113784700632095,
0.014597894623875618,
-0.023003607988357544,
-0.006668833550065756,
0.027996286749839783,
-0.05278841778635979,
-0.0246017724275589,
-0.06946679949760437,
0.09073381125926971,
-0.031328797340393066,
0.04875636845827103,
-0.09106363356113434,
0.07730270177125931,
-0.03430985286831856,
-0.0670631006360054,
-0.03486538678407669,
-0.010293771512806416,
0.007858531549572945,
0.025377918034791946,
0.004323561675846577,
-0.06314133107662201,
0.04771832376718521,
0.014493984170258045,
0.07912174612283707,
-0.012793798930943012,
-0.03483644127845764,
-0.02620384655892849,
0.03069613315165043,
-0.022635608911514282,
0.022846534848213196,
-0.017709460109472275,
-0.010238267481327057,
-0.06568192690610886,
0.03530145809054375,
-0.056884508579969406,
0.028335416689515114,
-0.0143825588747859,
-0.00030823383713141084,
-0.038059137761592865,
0.020783957093954086,
-0.009928845800459385,
-0.04660720005631447,
-0.0030485703609883785,
0.04425137862563133,
0.05623513087630272,
0.07039117068052292,
0.06491398066282272,
0.08163895457983017,
0.06708791106939316,
0.039663661271333694,
0.03462202474474907,
-0.1442028284072876,
0.043661296367645264,
-0.0156877301633358,
-0.05656057596206665,
-0.03129132464528084,
-0.02081969380378723,
-0.02444894053041935,
0.07776062935590744,
-0.10157681256532669,
-0.02944030798971653,
-0.06219233572483063,
0.033510394394397736,
-0.03316875174641609,
0.022026989609003067,
0.025905614718794823,
0.0916578471660614,
-0.08746209740638733,
1.694338822834029e-33,
0.07624205946922302,
0.0885353609919548,
0.03977205231785774,
0.023991456255316734,
-0.07811374217271805,
-0.03824863210320473,
0.0436415933072567,
0.050805095583200455,
-0.0007560868980363011,
0.06364477425813675,
-0.07043018192052841,
0.059503331780433655,
-0.04039863869547844,
0.004497972782701254,
-0.05554908141493797,
-0.0008147997432388365,
0.010816370137035847,
-0.04934598505496979,
-0.04259137064218521,
0.029640372842550278,
0.021515583619475365,
0.030750101432204247,
0.01931620202958584,
-0.11770488321781158,
-0.009885342791676521,
-0.01622833125293255,
0.006961801555007696,
-0.07146158069372177,
-0.021471306681632996,
0.04463019222021103,
0.003694630227982998,
-0.10140678286552429,
-0.07461703568696976,
0.05078032612800598,
-0.0016840634634718299,
-0.01699911803007126,
0.0266426932066679,
-0.06357751786708832,
-0.013109271414577961,
0.021436402574181557,
-0.06180794909596443,
-0.04424086958169937,
-0.018917139619588852,
0.02262834645807743,
0.0032788917887955904,
0.013839881867170334,
0.11014316231012344,
0.007083387114107609,
0.013987941667437553,
0.017038386315107346,
0.02976706437766552,
0.010107231326401234,
-0.07010377198457718,
0.045872949063777924,
-0.02771827019751072,
-0.015893632546067238,
0.08316197991371155,
-0.02500641718506813,
-0.0962531715631485,
0.008948123082518578,
0.030160360038280487,
-0.019837114959955215,
0.03508933261036873,
-0.0749337449669838,
-0.01107423659414053,
0.11992700397968292,
-0.03232012316584587,
0.002206704579293728,
-0.011468950659036636,
-0.06788117438554764,
-0.024189405143260956,
0.05311837047338486,
0.030790481716394424,
0.0009189621778205037,
0.03173096105456352,
0.027103595435619354,
0.11484229564666748,
-0.03988097608089447,
0.012249280698597431,
0.04967372491955757,
-0.06268468499183655,
-0.03420082479715347,
-0.031171130016446114,
-0.02237163670361042,
-0.017072603106498718,
-0.011340211145579815,
0.019027212634682655,
0.0020547977183014154,
0.061033669859170914,
0.0030763698741793633,
-0.0370180681347847,
-0.09826359897851944,
0.11154495179653168,
-0.017424551770091057,
-0.05798923969268799,
-4.090404426754777e-33,
0.0016405042260885239,
0.00687278900295496,
-0.08894701302051544,
0.031362295150756836,
0.06473858654499054,
0.05818630009889603,
0.012496450915932655,
0.0471164770424366,
-0.09386710822582245,
-0.2010042667388916,
-0.011141348630189896,
0.010961976833641529,
-0.00457142386585474,
-0.045227568596601486,
0.09573523700237274,
-0.09686273336410522,
0.028360795229673386,
0.05501752346754074,
0.03832970932126045,
-0.025617869570851326,
0.03839925304055214,
-0.003154422389343381,
0.08387306332588196,
0.007152384612709284,
-0.05735132843255997,
-0.03146801143884659,
0.06794821470975876,
0.014608744531869888,
-0.006994365714490414,
0.12483923137187958,
-0.0072274417616426945,
0.04683464765548706,
-0.002964179264381528,
0.03945823758840561,
-0.04443957284092903,
0.1010545939207077,
0.012896766886115074,
0.041220035403966904,
-0.06707257032394409,
-0.028911704197525978,
-0.08698046952486038,
-0.05856303125619888,
0.05749619007110596,
0.028567951172590256,
-0.01973625458776951,
0.036162860691547394,
-0.0343332514166832,
0.007259571459144354,
0.10196296125650406,
0.025122063234448433,
-0.05011441931128502,
-0.03839688375592232,
-0.022551175206899643,
0.13445428013801575,
0.008521262556314468,
0.05205485597252846,
0.014670220203697681,
0.0256574098020792,
-0.026280656456947327,
-0.0386865958571434,
-0.004734278656542301,
-0.06830334663391113,
-0.0004560617380775511,
-0.07594815641641617,
0.010073130019009113,
-0.0691995620727539,
-0.014849874190986156,
0.06458844244480133,
0.04415978118777275,
0.02044457010924816,
-0.05442458763718605,
-0.023636464029550552,
0.05972630903124809,
0.03771858289837837,
0.04643082618713379,
0.0794185921549797,
0.046647340059280396,
-0.10142600536346436,
-0.06219261884689331,
0.0401407852768898,
-0.026187947019934654,
0.04275808855891228,
0.03987966477870941,
0.030943721532821655,
0.002272684359923005,
-0.055339522659778595,
0.01187316793948412,
-0.08587323129177094,
-0.06485816836357117,
-0.028031818568706512,
0.04371970146894455,
-0.023361273109912872,
0.028956128284335136,
0.03208077326416969,
-0.019630663096904755,
-4.47713333073807e-8,
0.08125889301300049,
-0.005028919316828251,
0.13382954895496368,
0.044075578451156616,
0.011564740911126137,
-0.00017955910880118608,
-0.05023002624511719,
-0.0456354096531868,
-0.03953779861330986,
-0.033431362360715866,
0.026429323479533195,
-0.01799791492521763,
0.11975906789302826,
-0.13479414582252502,
-0.026263386011123657,
0.027711184695363045,
0.032722752541303635,
0.010168144479393959,
0.04235132411122322,
0.04915521666407585,
-0.017776798456907272,
-0.01426833774894476,
-0.0689825713634491,
-0.016781693324446678,
0.10400456935167313,
0.01953493244946003,
0.034224122762680054,
-0.039890024811029434,
-0.003361488925293088,
-0.00953597016632557,
-0.029122769832611084,
0.02662223018705845,
0.0261765718460083,
-0.0035472235176712275,
-0.07591310143470764,
-0.02912759780883789,
-0.009958518669009209,
0.07191526889801025,
-0.0016419459134340286,
-0.032237712293863297,
-0.01895764283835888,
0.12892626225948334,
-0.012681316584348679,
-0.02244938723742962,
0.06415869295597076,
0.10296269506216049,
0.02997787669301033,
-0.030298056080937386,
-0.04948350787162781,
0.00007350616215262562,
-0.04904467985033989,
0.05478334054350853,
0.06941293179988861,
0.08924456685781479,
0.05247235670685768,
-0.00018481632287148386,
-0.10772557556629181,
-0.024258319288492203,
-0.021309465169906616,
0.03839438781142235,
-0.037550706416368484,
0.021844545379281044,
-0.02625935897231102,
-0.015900995582342148
] | null | null | null | null | null | null | null |
[
-0.036272041499614716,
-0.047116123139858246,
0.05833939462900162,
-0.017289871349930763,
0.05907959118485451,
-0.06350996345281601,
-0.07515372335910797,
0.01632612943649292,
0.020097089931368828,
0.03243741765618324,
-0.09694381803274155,
-0.014049287885427475,
0.0080745043233037,
-0.06028374657034874,
0.011844219639897346,
-0.04613321274518967,
-0.03882971405982971,
0.008116638287901878,
-0.014491008594632149,
-0.03143458440899849,
0.010999667458236217,
0.10910077393054962,
-0.026982760056853294,
0.06544196605682373,
-0.020080050453543663,
0.004874223843216896,
-0.02264261618256569,
0.08378416299819946,
-0.0007543367682956159,
0.10516292601823807,
0.006989228073507547,
0.08151817321777344,
-0.067841537296772,
-0.0023803056683391333,
-0.017519067972898483,
-0.029568295925855637,
-0.03735893592238426,
-0.039312198758125305,
-0.05943051353096962,
0.02922777645289898,
-0.014463633298873901,
-0.01555082481354475,
0.021354591473937035,
-0.010770588181912899,
0.004702604841440916,
-0.0050719063729047775,
-0.01867714524269104,
0.01919996179640293,
0.004417219199240208,
0.011183003894984722,
-0.026760822162032127,
-0.08720530569553375,
-0.08610482513904572,
0.013025293126702309,
-0.04692131653428078,
0.0011877387296408415,
-0.004362551961094141,
-0.03999023884534836,
0.013434982858598232,
-0.042113784700632095,
0.014597894623875618,
-0.023003607988357544,
-0.006668833550065756,
0.027996286749839783,
-0.05278841778635979,
-0.0246017724275589,
-0.06946679949760437,
0.09073381125926971,
-0.031328797340393066,
0.04875636845827103,
-0.09106363356113434,
0.07730270177125931,
-0.03430985286831856,
-0.0670631006360054,
-0.03486538678407669,
-0.010293771512806416,
0.007858531549572945,
0.025377918034791946,
0.004323561675846577,
-0.06314133107662201,
0.04771832376718521,
0.014493984170258045,
0.07912174612283707,
-0.012793798930943012,
-0.03483644127845764,
-0.02620384655892849,
0.03069613315165043,
-0.022635608911514282,
0.022846534848213196,
-0.017709460109472275,
-0.010238267481327057,
-0.06568192690610886,
0.03530145809054375,
-0.056884508579969406,
0.028335416689515114,
-0.0143825588747859,
-0.00030823383713141084,
-0.038059137761592865,
0.020783957093954086,
-0.009928845800459385,
-0.04660720005631447,
-0.0030485703609883785,
0.04425137862563133,
0.05623513087630272,
0.07039117068052292,
0.06491398066282272,
0.08163895457983017,
0.06708791106939316,
0.039663661271333694,
0.03462202474474907,
-0.1442028284072876,
0.043661296367645264,
-0.0156877301633358,
-0.05656057596206665,
-0.03129132464528084,
-0.02081969380378723,
-0.02444894053041935,
0.07776062935590744,
-0.10157681256532669,
-0.02944030798971653,
-0.06219233572483063,
0.033510394394397736,
-0.03316875174641609,
0.022026989609003067,
0.025905614718794823,
0.0916578471660614,
-0.08746209740638733,
1.694338822834029e-33,
0.07624205946922302,
0.0885353609919548,
0.03977205231785774,
0.023991456255316734,
-0.07811374217271805,
-0.03824863210320473,
0.0436415933072567,
0.050805095583200455,
-0.0007560868980363011,
0.06364477425813675,
-0.07043018192052841,
0.059503331780433655,
-0.04039863869547844,
0.004497972782701254,
-0.05554908141493797,
-0.0008147997432388365,
0.010816370137035847,
-0.04934598505496979,
-0.04259137064218521,
0.029640372842550278,
0.021515583619475365,
0.030750101432204247,
0.01931620202958584,
-0.11770488321781158,
-0.009885342791676521,
-0.01622833125293255,
0.006961801555007696,
-0.07146158069372177,
-0.021471306681632996,
0.04463019222021103,
0.003694630227982998,
-0.10140678286552429,
-0.07461703568696976,
0.05078032612800598,
-0.0016840634634718299,
-0.01699911803007126,
0.0266426932066679,
-0.06357751786708832,
-0.013109271414577961,
0.021436402574181557,
-0.06180794909596443,
-0.04424086958169937,
-0.018917139619588852,
0.02262834645807743,
0.0032788917887955904,
0.013839881867170334,
0.11014316231012344,
0.007083387114107609,
0.013987941667437553,
0.017038386315107346,
0.02976706437766552,
0.010107231326401234,
-0.07010377198457718,
0.045872949063777924,
-0.02771827019751072,
-0.015893632546067238,
0.08316197991371155,
-0.02500641718506813,
-0.0962531715631485,
0.008948123082518578,
0.030160360038280487,
-0.019837114959955215,
0.03508933261036873,
-0.0749337449669838,
-0.01107423659414053,
0.11992700397968292,
-0.03232012316584587,
0.002206704579293728,
-0.011468950659036636,
-0.06788117438554764,
-0.024189405143260956,
0.05311837047338486,
0.030790481716394424,
0.0009189621778205037,
0.03173096105456352,
0.027103595435619354,
0.11484229564666748,
-0.03988097608089447,
0.012249280698597431,
0.04967372491955757,
-0.06268468499183655,
-0.03420082479715347,
-0.031171130016446114,
-0.02237163670361042,
-0.017072603106498718,
-0.011340211145579815,
0.019027212634682655,
0.0020547977183014154,
0.061033669859170914,
0.0030763698741793633,
-0.0370180681347847,
-0.09826359897851944,
0.11154495179653168,
-0.017424551770091057,
-0.05798923969268799,
-4.090404426754777e-33,
0.0016405042260885239,
0.00687278900295496,
-0.08894701302051544,
0.031362295150756836,
0.06473858654499054,
0.05818630009889603,
0.012496450915932655,
0.0471164770424366,
-0.09386710822582245,
-0.2010042667388916,
-0.011141348630189896,
0.010961976833641529,
-0.00457142386585474,
-0.045227568596601486,
0.09573523700237274,
-0.09686273336410522,
0.028360795229673386,
0.05501752346754074,
0.03832970932126045,
-0.025617869570851326,
0.03839925304055214,
-0.003154422389343381,
0.08387306332588196,
0.007152384612709284,
-0.05735132843255997,
-0.03146801143884659,
0.06794821470975876,
0.014608744531869888,
-0.006994365714490414,
0.12483923137187958,
-0.0072274417616426945,
0.04683464765548706,
-0.002964179264381528,
0.03945823758840561,
-0.04443957284092903,
0.1010545939207077,
0.012896766886115074,
0.041220035403966904,
-0.06707257032394409,
-0.028911704197525978,
-0.08698046952486038,
-0.05856303125619888,
0.05749619007110596,
0.028567951172590256,
-0.01973625458776951,
0.036162860691547394,
-0.0343332514166832,
0.007259571459144354,
0.10196296125650406,
0.025122063234448433,
-0.05011441931128502,
-0.03839688375592232,
-0.022551175206899643,
0.13445428013801575,
0.008521262556314468,
0.05205485597252846,
0.014670220203697681,
0.0256574098020792,
-0.026280656456947327,
-0.0386865958571434,
-0.004734278656542301,
-0.06830334663391113,
-0.0004560617380775511,
-0.07594815641641617,
0.010073130019009113,
-0.0691995620727539,
-0.014849874190986156,
0.06458844244480133,
0.04415978118777275,
0.02044457010924816,
-0.05442458763718605,
-0.023636464029550552,
0.05972630903124809,
0.03771858289837837,
0.04643082618713379,
0.0794185921549797,
0.046647340059280396,
-0.10142600536346436,
-0.06219261884689331,
0.0401407852768898,
-0.026187947019934654,
0.04275808855891228,
0.03987966477870941,
0.030943721532821655,
0.002272684359923005,
-0.055339522659778595,
0.01187316793948412,
-0.08587323129177094,
-0.06485816836357117,
-0.028031818568706512,
0.04371970146894455,
-0.023361273109912872,
0.028956128284335136,
0.03208077326416969,
-0.019630663096904755,
-4.47713333073807e-8,
0.08125889301300049,
-0.005028919316828251,
0.13382954895496368,
0.044075578451156616,
0.011564740911126137,
-0.00017955910880118608,
-0.05023002624511719,
-0.0456354096531868,
-0.03953779861330986,
-0.033431362360715866,
0.026429323479533195,
-0.01799791492521763,
0.11975906789302826,
-0.13479414582252502,
-0.026263386011123657,
0.027711184695363045,
0.032722752541303635,
0.010168144479393959,
0.04235132411122322,
0.04915521666407585,
-0.017776798456907272,
-0.01426833774894476,
-0.0689825713634491,
-0.016781693324446678,
0.10400456935167313,
0.01953493244946003,
0.034224122762680054,
-0.039890024811029434,
-0.003361488925293088,
-0.00953597016632557,
-0.029122769832611084,
0.02662223018705845,
0.0261765718460083,
-0.0035472235176712275,
-0.07591310143470764,
-0.02912759780883789,
-0.009958518669009209,
0.07191526889801025,
-0.0016419459134340286,
-0.032237712293863297,
-0.01895764283835888,
0.12892626225948334,
-0.012681316584348679,
-0.02244938723742962,
0.06415869295597076,
0.10296269506216049,
0.02997787669301033,
-0.030298056080937386,
-0.04948350787162781,
0.00007350616215262562,
-0.04904467985033989,
0.05478334054350853,
0.06941293179988861,
0.08924456685781479,
0.05247235670685768,
-0.00018481632287148386,
-0.10772557556629181,
-0.024258319288492203,
-0.021309465169906616,
0.03839438781142235,
-0.037550706416368484,
0.021844545379281044,
-0.02625935897231102,
-0.015900995582342148
] |
1401.6410
|
Christian Steinruecken
|
Christian Steinruecken
|
Compressing Sets and Multisets of Sequences
| null | null | null | null |
cs.IT math.IT stat.AP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article describes lossless compression algorithms for multisets of
sequences, taking advantage of the multiset's unordered structure. Multisets
are a generalisation of sets where members are allowed to occur multiple times.
A multiset can be encoded na\"ively by simply storing its elements in some
sequential order, but then information is wasted on the ordering. We propose a
technique that transforms the multiset into an order-invariant tree
representation, and derive an arithmetic code that optimally compresses the
tree. Our method achieves compression even if the sequences in the multiset are
individually incompressible (such as cryptographic hash sums). The algorithm is
demonstrated practically by compressing collections of SHA-1 hash sums, and
multisets of arbitrary, individually encodable objects.
|
[
{
"created": "Fri, 24 Jan 2014 17:36:32 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Steinruecken",
"Christian",
""
]
] |
[
-0.07875555008649826,
0.11959599703550339,
-0.019877806305885315,
-0.05805592238903046,
0.025018880143761635,
-0.011217058636248112,
-0.033014651387929916,
-0.06666206568479538,
0.06329100579023361,
-0.033439721912145615,
-0.035309046506881714,
0.015146295540034771,
0.106598861515522,
-0.017190393060445786,
-0.0766826644539833,
0.0008903980487957597,
-0.05943658947944641,
0.1507764309644699,
-0.02960616908967495,
-0.07812957465648651,
-0.014056254178285599,
-0.0034072245471179485,
0.0014067796291783452,
0.03352966159582138,
0.08864732831716537,
-0.004703574813902378,
-0.006164391525089741,
0.004709821660071611,
0.026940131559967995,
-0.05166949704289436,
0.03847626596689224,
-0.015479215420782566,
0.06833945214748383,
0.031006820499897003,
-0.052659083157777786,
0.06281894445419312,
0.016575131565332413,
-0.03802797198295593,
-0.056653257459402084,
0.019694246351718903,
-0.03637244552373886,
0.11762204021215439,
-0.009525974281132221,
0.03463343530893326,
-0.09427150338888168,
0.08807093650102615,
-0.010120109654963017,
-0.0036841833498328924,
0.0025321501307189465,
-0.06195630133152008,
0.059263940900564194,
0.04469262436032295,
-0.08584006130695343,
0.09408344328403473,
-0.07003974169492722,
-0.06189640983939171,
-0.1327250599861145,
-0.046900857239961624,
-0.0731448084115982,
-0.0144805908203125,
0.002286834642291069,
0.03325227275490761,
0.05064843222498894,
0.0026587089523673058,
0.04492766782641411,
0.04896789789199829,
0.10130750387907028,
0.02661507949233055,
-0.02521999552845955,
0.0435812771320343,
-0.026910074055194855,
-0.02557799033820629,
-0.0511244535446167,
0.14283938705921173,
-0.03497735410928726,
0.1092284694314003,
0.03899332135915756,
-0.012164757587015629,
-0.04642818868160248,
0.02079944498836994,
-0.07111414521932602,
-0.06408700346946716,
0.018126830458641052,
-0.009225419722497463,
0.02174879051744938,
-0.05349486693739891,
-0.0029417178593575954,
0.00985734537243843,
-0.0024681594222784042,
0.06690505146980286,
-0.05107569321990013,
0.04669412225484848,
0.1483614593744278,
0.0011231544194743037,
0.03920406475663185,
-0.030724557116627693,
0.022389844059944153,
0.0924580991268158,
0.004798315465450287,
0.07666125893592834,
0.001726848422549665,
0.09512418508529663,
0.03261144831776619,
-0.07241835445165634,
0.023227721452713013,
-0.01846209540963173,
-0.016703112050890923,
-0.04226237162947655,
-0.02808113396167755,
-0.005533677991479635,
0.04757105931639671,
0.0015784368151798844,
-0.036476124078035355,
-0.044877972453832626,
-0.0021165674552321434,
0.05417897552251816,
-0.1060224324464798,
0.05586957931518555,
-0.003716434817761183,
0.0046440064907073975,
0.02042056806385517,
-0.06736180931329727,
0.018491854891180992,
0.00476789427921176,
-0.023745695129036903,
-0.058888740837574005,
-0.075460284948349,
1.9692762985738077e-33,
0.05249551683664322,
0.023478109389543533,
0.034185849130153656,
-0.009312399663031101,
0.026564177125692368,
0.04112338647246361,
0.004741641692817211,
0.04675617069005966,
-0.049715906381607056,
0.04163628816604614,
-0.05016454681754112,
0.0803341418504715,
0.03264043852686882,
0.03911592438817024,
0.017977867275476456,
0.0038545436691492796,
0.07150588929653168,
-0.0020689822267740965,
-0.032314859330654144,
-0.03217403590679169,
0.01685129478573799,
0.016063310205936432,
-0.00040518204332329333,
-0.12100008130073547,
0.0070534395053982735,
0.0405440516769886,
-0.0012037730775773525,
-0.09129491448402405,
0.0013831667602062225,
0.02692466787993908,
-0.1079089418053627,
-0.0015813654754310846,
-0.006757738068699837,
0.008499623276293278,
0.07838772237300873,
0.00982847809791565,
0.01210428774356842,
-0.038406677544116974,
0.05398213863372803,
-0.05870924890041351,
0.08815476298332214,
0.0017861886881291866,
-0.016385378316044807,
-0.03855250030755997,
-0.08694692701101303,
0.007100872695446014,
-0.0302226971834898,
0.0127252833917737,
-0.036002106964588165,
0.02137930504977703,
0.0191111508756876,
-0.016140608116984367,
-0.08326837420463562,
-0.0023425451945513487,
-0.037855129688978195,
-0.04071784019470215,
0.0015705055557191372,
-0.03754853829741478,
0.0635346919298172,
0.134445920586586,
-0.09571507573127747,
0.06284932047128677,
0.029152771458029747,
0.05631805956363678,
0.0018757315119728446,
-0.023694908246397972,
-0.01985171064734459,
-0.017731036990880966,
0.036371126770973206,
0.04767327010631561,
-0.05394744127988815,
0.029872380197048187,
-0.006515419110655785,
-0.009645365178585052,
-0.022692007943987846,
-0.00796242244541645,
0.03206462785601616,
-0.09378428757190704,
-0.10511591285467148,
0.021517205983400345,
-0.03448183462023735,
0.05087434500455856,
0.10584893822669983,
-0.0031081365887075663,
0.026993844658136368,
0.006902297958731651,
0.0032838333863765,
0.01475522480905056,
-0.02125348336994648,
-0.10129853338003159,
-0.0407756008207798,
-0.029458079487085342,
0.02349715493619442,
-0.10879689455032349,
0.012381303124129772,
-3.3283468674800426e-33,
0.022599628195166588,
0.023510891944169998,
-0.04294324293732643,
0.04652860760688782,
0.025478562340140343,
-0.09317468851804733,
-0.003328573890030384,
-0.0025584748946130276,
-0.0426245853304863,
0.02970258705317974,
-0.029398011043667793,
-0.05569104105234146,
0.0541439950466156,
-0.05736039578914642,
0.034072525799274445,
-0.005599284078925848,
-0.05676199868321419,
-0.02070724405348301,
-0.004584707785397768,
-0.011557912454009056,
-0.008605049923062325,
0.05313882976770401,
-0.027258194983005524,
0.021738164126873016,
0.04446295648813248,
-0.006102437153458595,
-0.015408515930175781,
0.016254255548119545,
0.058818887919187546,
0.022113192826509476,
-0.002843583235517144,
-0.011190921068191528,
-0.04145582765340805,
-0.09802231937646866,
-0.09677115082740784,
-0.09445744007825851,
0.04843622446060181,
0.06757698953151703,
-0.032075416296720505,
0.04907790198922157,
0.055791862308979034,
-0.009946301579475403,
0.0141264908015728,
-0.00379935372620821,
0.051099829375743866,
-0.02034582383930683,
-0.048542916774749756,
0.030381955206394196,
0.08301924169063568,
0.021888986229896545,
0.004751216620206833,
0.00982934795320034,
-0.05340971052646637,
0.06801287829875946,
0.0986538752913475,
-0.025168994441628456,
-0.09866179525852203,
0.0753670483827591,
0.023673295974731445,
-0.0022195985075086355,
-0.04219398275017738,
-0.07213007658720016,
0.03283596783876419,
0.02012443169951439,
0.04000713303685188,
-0.016903197392821312,
-0.03491069748997688,
-0.08890797942876816,
-0.018783243373036385,
-0.022015416994690895,
0.0395849384367466,
0.0024892056826502085,
0.001532664755359292,
0.02194765768945217,
-0.018296392634510994,
-0.03902911767363548,
0.02750316634774208,
0.040005408227443695,
0.02848142385482788,
0.07501580566167831,
0.01371816173195839,
0.027566254138946533,
0.009452659636735916,
0.05088556930422783,
0.05128450691699982,
-0.04588421434164047,
0.0561467707157135,
0.026017729192972183,
-0.03440588340163231,
-0.018773136660456657,
-0.012607418932020664,
0.10044608265161514,
0.026138005778193474,
0.04365011677145958,
0.024004509672522545,
-3.636095868841949e-8,
-0.05403435602784157,
-0.03589104861021042,
-0.01979157142341137,
-0.03489695489406586,
0.0851653516292572,
-0.023962171748280525,
-0.0064086755737662315,
0.09450729936361313,
0.006935414858162403,
-0.06380487233400345,
0.08082298934459686,
-0.037271443754434586,
-0.036769136786460876,
-0.010636336170136929,
-0.04566919058561325,
0.09900210052728653,
-0.03999853879213333,
-0.02539551816880703,
-0.015566240064799786,
0.033790092915296555,
-0.010025449097156525,
0.020185405388474464,
0.015872517600655556,
0.05304744839668274,
-0.01290884893387556,
-0.03789326921105385,
0.011603178456425667,
0.023951835930347443,
0.010931937023997307,
0.08495184034109116,
-0.05463729798793793,
0.050095006823539734,
0.048836298286914825,
-0.1277880221605301,
-0.07731606066226959,
0.02923734299838543,
-0.03884240612387657,
0.04891383275389671,
-0.014572974294424057,
-0.1140289455652237,
-0.02790110372006893,
-0.020446527749300003,
-0.07616250962018967,
-0.014123530127108097,
0.043993983417749405,
-0.09282024204730988,
0.02672555111348629,
0.03257272392511368,
-0.08739519864320755,
0.07128406316041946,
-0.03542020171880722,
0.031111670657992363,
0.04272771626710892,
-0.04088464006781578,
0.0177562665194273,
-0.01534333173185587,
-0.049306806176900864,
-0.07625683397054672,
0.11628419160842896,
-0.0028580401558429003,
0.01882985420525074,
-0.09248799830675125,
0.015035990625619888,
-0.004384767729789019
] | null | null | null | null | null | null | null |
[
-0.07875555008649826,
0.11959599703550339,
-0.019877806305885315,
-0.05805592238903046,
0.025018880143761635,
-0.011217058636248112,
-0.033014651387929916,
-0.06666206568479538,
0.06329100579023361,
-0.033439721912145615,
-0.035309046506881714,
0.015146295540034771,
0.106598861515522,
-0.017190393060445786,
-0.0766826644539833,
0.0008903980487957597,
-0.05943658947944641,
0.1507764309644699,
-0.02960616908967495,
-0.07812957465648651,
-0.014056254178285599,
-0.0034072245471179485,
0.0014067796291783452,
0.03352966159582138,
0.08864732831716537,
-0.004703574813902378,
-0.006164391525089741,
0.004709821660071611,
0.026940131559967995,
-0.05166949704289436,
0.03847626596689224,
-0.015479215420782566,
0.06833945214748383,
0.031006820499897003,
-0.052659083157777786,
0.06281894445419312,
0.016575131565332413,
-0.03802797198295593,
-0.056653257459402084,
0.019694246351718903,
-0.03637244552373886,
0.11762204021215439,
-0.009525974281132221,
0.03463343530893326,
-0.09427150338888168,
0.08807093650102615,
-0.010120109654963017,
-0.0036841833498328924,
0.0025321501307189465,
-0.06195630133152008,
0.059263940900564194,
0.04469262436032295,
-0.08584006130695343,
0.09408344328403473,
-0.07003974169492722,
-0.06189640983939171,
-0.1327250599861145,
-0.046900857239961624,
-0.0731448084115982,
-0.0144805908203125,
0.002286834642291069,
0.03325227275490761,
0.05064843222498894,
0.0026587089523673058,
0.04492766782641411,
0.04896789789199829,
0.10130750387907028,
0.02661507949233055,
-0.02521999552845955,
0.0435812771320343,
-0.026910074055194855,
-0.02557799033820629,
-0.0511244535446167,
0.14283938705921173,
-0.03497735410928726,
0.1092284694314003,
0.03899332135915756,
-0.012164757587015629,
-0.04642818868160248,
0.02079944498836994,
-0.07111414521932602,
-0.06408700346946716,
0.018126830458641052,
-0.009225419722497463,
0.02174879051744938,
-0.05349486693739891,
-0.0029417178593575954,
0.00985734537243843,
-0.0024681594222784042,
0.06690505146980286,
-0.05107569321990013,
0.04669412225484848,
0.1483614593744278,
0.0011231544194743037,
0.03920406475663185,
-0.030724557116627693,
0.022389844059944153,
0.0924580991268158,
0.004798315465450287,
0.07666125893592834,
0.001726848422549665,
0.09512418508529663,
0.03261144831776619,
-0.07241835445165634,
0.023227721452713013,
-0.01846209540963173,
-0.016703112050890923,
-0.04226237162947655,
-0.02808113396167755,
-0.005533677991479635,
0.04757105931639671,
0.0015784368151798844,
-0.036476124078035355,
-0.044877972453832626,
-0.0021165674552321434,
0.05417897552251816,
-0.1060224324464798,
0.05586957931518555,
-0.003716434817761183,
0.0046440064907073975,
0.02042056806385517,
-0.06736180931329727,
0.018491854891180992,
0.00476789427921176,
-0.023745695129036903,
-0.058888740837574005,
-0.075460284948349,
1.9692762985738077e-33,
0.05249551683664322,
0.023478109389543533,
0.034185849130153656,
-0.009312399663031101,
0.026564177125692368,
0.04112338647246361,
0.004741641692817211,
0.04675617069005966,
-0.049715906381607056,
0.04163628816604614,
-0.05016454681754112,
0.0803341418504715,
0.03264043852686882,
0.03911592438817024,
0.017977867275476456,
0.0038545436691492796,
0.07150588929653168,
-0.0020689822267740965,
-0.032314859330654144,
-0.03217403590679169,
0.01685129478573799,
0.016063310205936432,
-0.00040518204332329333,
-0.12100008130073547,
0.0070534395053982735,
0.0405440516769886,
-0.0012037730775773525,
-0.09129491448402405,
0.0013831667602062225,
0.02692466787993908,
-0.1079089418053627,
-0.0015813654754310846,
-0.006757738068699837,
0.008499623276293278,
0.07838772237300873,
0.00982847809791565,
0.01210428774356842,
-0.038406677544116974,
0.05398213863372803,
-0.05870924890041351,
0.08815476298332214,
0.0017861886881291866,
-0.016385378316044807,
-0.03855250030755997,
-0.08694692701101303,
0.007100872695446014,
-0.0302226971834898,
0.0127252833917737,
-0.036002106964588165,
0.02137930504977703,
0.0191111508756876,
-0.016140608116984367,
-0.08326837420463562,
-0.0023425451945513487,
-0.037855129688978195,
-0.04071784019470215,
0.0015705055557191372,
-0.03754853829741478,
0.0635346919298172,
0.134445920586586,
-0.09571507573127747,
0.06284932047128677,
0.029152771458029747,
0.05631805956363678,
0.0018757315119728446,
-0.023694908246397972,
-0.01985171064734459,
-0.017731036990880966,
0.036371126770973206,
0.04767327010631561,
-0.05394744127988815,
0.029872380197048187,
-0.006515419110655785,
-0.009645365178585052,
-0.022692007943987846,
-0.00796242244541645,
0.03206462785601616,
-0.09378428757190704,
-0.10511591285467148,
0.021517205983400345,
-0.03448183462023735,
0.05087434500455856,
0.10584893822669983,
-0.0031081365887075663,
0.026993844658136368,
0.006902297958731651,
0.0032838333863765,
0.01475522480905056,
-0.02125348336994648,
-0.10129853338003159,
-0.0407756008207798,
-0.029458079487085342,
0.02349715493619442,
-0.10879689455032349,
0.012381303124129772,
-3.3283468674800426e-33,
0.022599628195166588,
0.023510891944169998,
-0.04294324293732643,
0.04652860760688782,
0.025478562340140343,
-0.09317468851804733,
-0.003328573890030384,
-0.0025584748946130276,
-0.0426245853304863,
0.02970258705317974,
-0.029398011043667793,
-0.05569104105234146,
0.0541439950466156,
-0.05736039578914642,
0.034072525799274445,
-0.005599284078925848,
-0.05676199868321419,
-0.02070724405348301,
-0.004584707785397768,
-0.011557912454009056,
-0.008605049923062325,
0.05313882976770401,
-0.027258194983005524,
0.021738164126873016,
0.04446295648813248,
-0.006102437153458595,
-0.015408515930175781,
0.016254255548119545,
0.058818887919187546,
0.022113192826509476,
-0.002843583235517144,
-0.011190921068191528,
-0.04145582765340805,
-0.09802231937646866,
-0.09677115082740784,
-0.09445744007825851,
0.04843622446060181,
0.06757698953151703,
-0.032075416296720505,
0.04907790198922157,
0.055791862308979034,
-0.009946301579475403,
0.0141264908015728,
-0.00379935372620821,
0.051099829375743866,
-0.02034582383930683,
-0.048542916774749756,
0.030381955206394196,
0.08301924169063568,
0.021888986229896545,
0.004751216620206833,
0.00982934795320034,
-0.05340971052646637,
0.06801287829875946,
0.0986538752913475,
-0.025168994441628456,
-0.09866179525852203,
0.0753670483827591,
0.023673295974731445,
-0.0022195985075086355,
-0.04219398275017738,
-0.07213007658720016,
0.03283596783876419,
0.02012443169951439,
0.04000713303685188,
-0.016903197392821312,
-0.03491069748997688,
-0.08890797942876816,
-0.018783243373036385,
-0.022015416994690895,
0.0395849384367466,
0.0024892056826502085,
0.001532664755359292,
0.02194765768945217,
-0.018296392634510994,
-0.03902911767363548,
0.02750316634774208,
0.040005408227443695,
0.02848142385482788,
0.07501580566167831,
0.01371816173195839,
0.027566254138946533,
0.009452659636735916,
0.05088556930422783,
0.05128450691699982,
-0.04588421434164047,
0.0561467707157135,
0.026017729192972183,
-0.03440588340163231,
-0.018773136660456657,
-0.012607418932020664,
0.10044608265161514,
0.026138005778193474,
0.04365011677145958,
0.024004509672522545,
-3.636095868841949e-8,
-0.05403435602784157,
-0.03589104861021042,
-0.01979157142341137,
-0.03489695489406586,
0.0851653516292572,
-0.023962171748280525,
-0.0064086755737662315,
0.09450729936361313,
0.006935414858162403,
-0.06380487233400345,
0.08082298934459686,
-0.037271443754434586,
-0.036769136786460876,
-0.010636336170136929,
-0.04566919058561325,
0.09900210052728653,
-0.03999853879213333,
-0.02539551816880703,
-0.015566240064799786,
0.033790092915296555,
-0.010025449097156525,
0.020185405388474464,
0.015872517600655556,
0.05304744839668274,
-0.01290884893387556,
-0.03789326921105385,
0.011603178456425667,
0.023951835930347443,
0.010931937023997307,
0.08495184034109116,
-0.05463729798793793,
0.050095006823539734,
0.048836298286914825,
-0.1277880221605301,
-0.07731606066226959,
0.02923734299838543,
-0.03884240612387657,
0.04891383275389671,
-0.014572974294424057,
-0.1140289455652237,
-0.02790110372006893,
-0.020446527749300003,
-0.07616250962018967,
-0.014123530127108097,
0.043993983417749405,
-0.09282024204730988,
0.02672555111348629,
0.03257272392511368,
-0.08739519864320755,
0.07128406316041946,
-0.03542020171880722,
0.031111670657992363,
0.04272771626710892,
-0.04088464006781578,
0.0177562665194273,
-0.01534333173185587,
-0.049306806176900864,
-0.07625683397054672,
0.11628419160842896,
-0.0028580401558429003,
0.01882985420525074,
-0.09248799830675125,
0.015035990625619888,
-0.004384767729789019
] |
1401.6413
|
Nuri Denizcan Vanli
|
N. Denizcan Vanli, Muhammed O. Sayin, Suleyman S. Kozat
|
Predicting Nearly As Well As the Optimal Twice Differentiable Regressor
| null | null | null | null |
cs.LG stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study nonlinear regression of real valued data in an individual sequence
manner, where we provide results that are guaranteed to hold without any
statistical assumptions. We address the convergence and undertraining issues of
conventional nonlinear regression methods and introduce an algorithm that
elegantly mitigates these issues via an incremental hierarchical structure,
(i.e., via an incremental decision tree). Particularly, we present a piecewise
linear (or nonlinear) regression algorithm that partitions the regressor space
in a data driven manner and learns a linear model at each region. Unlike the
conventional approaches, our algorithm gradually increases the number of
disjoint partitions on the regressor space in a sequential manner according to
the observed data. Through this data driven approach, our algorithm
sequentially and asymptotically achieves the performance of the optimal twice
differentiable regression function for any data sequence with an unknown and
arbitrary length. The computational complexity of the introduced algorithm is
only logarithmic in the data length under certain regularity conditions. We
provide the explicit description of the algorithm and demonstrate the
significant gains for the well-known benchmark real data sets and chaotic
signals.
|
[
{
"created": "Thu, 23 Jan 2014 15:51:36 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2014 23:32:10 GMT",
"version": "v2"
}
] |
2014-10-08
|
[
[
"Vanli",
"N. Denizcan",
""
],
[
"Sayin",
"Muhammed O.",
""
],
[
"Kozat",
"Suleyman S.",
""
]
] |
[
-0.1508563905954361,
-0.09149011969566345,
0.09178916364908218,
0.04995574802160263,
0.03527157008647919,
-0.05782373622059822,
-0.08736170828342438,
-0.08654680103063583,
0.059542763978242874,
-0.018962174654006958,
-0.031891729682683945,
0.004962354898452759,
-0.014968362636864185,
0.0357864573597908,
-0.019622093066573143,
0.03277650102972984,
0.0003334386565256864,
0.034967873245477676,
0.02747255191206932,
-0.041606396436691284,
0.005999485030770302,
0.0328412689268589,
-0.09675431251525879,
0.042173389345407486,
0.1026594266295433,
0.05578451603651047,
-0.009423297829926014,
0.048070717602968216,
-0.08594629913568497,
0.006739962846040726,
0.04483221098780632,
-0.05722298100590706,
0.06986627727746964,
-0.003269071690738201,
-0.08250103890895844,
-0.06029399111866951,
-0.028946643695235252,
0.03998745605349541,
-0.02435913123190403,
0.08989487588405609,
0.02019083872437477,
0.002618436235934496,
0.0043160985223948956,
-0.003318699076771736,
0.03986351191997528,
-0.024514583870768547,
0.035010166466236115,
-0.08813154697418213,
-0.01981653831899166,
0.030211767181754112,
-0.05893965810537338,
0.0057765585370361805,
0.018971286714076996,
0.1044720783829689,
0.06468275189399719,
0.08379516005516052,
-0.0258580781519413,
0.04080019146203995,
0.07008849084377289,
0.03347306698560715,
0.05698996037244797,
-0.05138362944126129,
0.03900371864438057,
-0.025172213092446327,
-0.03995373845100403,
0.013965768739581108,
-0.006147248204797506,
0.07392838597297668,
0.009045015089213848,
0.09539589285850525,
-0.027556665241718292,
0.09248081594705582,
-0.04547719284892082,
0.003993895836174488,
0.03125252202153206,
-0.027694059535861015,
0.06882692128419876,
0.02415216714143753,
0.05105619505047798,
-0.10691490769386292,
-0.057031020522117615,
0.035619575530290604,
-0.006396878510713577,
-0.03921860083937645,
0.060177773237228394,
-0.00026074322522617877,
0.06582934409379959,
0.0847686156630516,
0.035347044467926025,
0.06663642823696136,
-0.01752394624054432,
-0.023303192108869553,
-0.028906794264912605,
0.008516409434378147,
0.0025582287926226854,
-0.0072795310989022255,
0.013588924892246723,
-0.015800151973962784,
0.09102553129196167,
0.08699092268943787,
-0.0809466764330864,
0.012359368614852428,
-0.0023268633522093296,
-0.011050726287066936,
-0.0030486728064715862,
-0.1277218908071518,
0.009161566384136677,
0.029729485511779785,
0.008287642151117325,
-0.04197182133793831,
0.03156042471528053,
0.005595536436885595,
-0.006280828732997179,
0.014073958620429039,
0.019967418164014816,
-0.030601631850004196,
0.029534779489040375,
-0.04853323474526405,
-0.05984915792942047,
0.09987976402044296,
0.06674036383628845,
-0.040060289204120636,
0.0052698939107358456,
0.07556074857711792,
0.059973087161779404,
-0.031196320429444313,
-0.12166479229927063,
8.908540875714324e-34,
-0.05545191094279289,
-0.01687445305287838,
0.09691212326288223,
-0.037703897804021835,
-0.03296058624982834,
-0.037478987127542496,
-0.02162289433181286,
0.004420421086251736,
-0.031088072806596756,
0.0681714415550232,
-0.006962991785258055,
0.0019991337321698666,
-0.03846828266978264,
0.06586864590644836,
0.04720943793654442,
-0.03134801238775253,
-0.03023402765393257,
0.0359746515750885,
0.011379977688193321,
-0.00143615051638335,
0.035178061574697495,
-0.0455741286277771,
-0.0441475510597229,
-0.08567290753126144,
-0.0016181136015802622,
-0.009845524094998837,
0.007071117404848337,
0.03711003437638283,
0.03451288491487503,
0.030091462656855583,
-0.05106459558010101,
0.032210927456617355,
-0.04354638233780861,
-0.029679900035262108,
0.06013880670070648,
-0.045923057943582535,
-0.0033905047457665205,
-0.024443989619612694,
-0.05696737766265869,
0.05834142118692398,
-0.0008317848551087081,
-0.009461600333452225,
0.0034086487721651793,
0.03655672073364258,
-0.05265050753951073,
-0.022526610642671585,
0.002961756894364953,
0.03540581837296486,
-0.00861895177513361,
-0.04036163166165352,
-0.030645253136754036,
-0.0074590230360627174,
-0.06556910276412964,
-0.08023335784673691,
-0.10365435481071472,
0.05352197587490082,
-0.07076729834079742,
-0.051930781453847885,
0.0036784615367650986,
0.12527664005756378,
-0.06959612667560577,
0.002726689912378788,
0.03970329463481903,
-0.012783991172909737,
-0.024503782391548157,
0.041569046676158905,
0.04080837592482567,
-0.01777857542037964,
0.06550706923007965,
-0.026387721300125122,
0.04193709045648575,
-0.008160722441971302,
-0.013707568868994713,
-0.04316617175936699,
0.06458251923322678,
-0.014099841006100178,
0.06563874334096909,
-0.03295449912548065,
-0.06948831677436829,
-0.03676450252532959,
-0.025670524686574936,
-0.01439482718706131,
0.08262443542480469,
-0.03709205612540245,
0.01290134061127901,
-0.0791153684258461,
-0.027978336438536644,
-0.02050597593188286,
-0.07617805898189545,
-0.005056855734437704,
-0.24000602960586548,
-0.012511088512837887,
-0.005373157095164061,
0.0019380751764401793,
0.0599626824259758,
-2.3747362589250776e-33,
0.0260268896818161,
-0.004034383688122034,
0.029029613360762596,
0.004391964990645647,
-0.005810188595205545,
0.04184629023075104,
-0.048550039529800415,
0.05327209457755089,
0.045973002910614014,
-0.0027078227140009403,
0.027959922328591347,
-0.030229320749640465,
0.07296188920736313,
0.06717859208583832,
0.02188652940094471,
0.06724034249782562,
-0.022754322737455368,
0.003193608717992902,
0.018099408596754074,
0.04681800678372383,
0.014646736904978752,
0.04540509358048439,
-0.06849832087755203,
0.04901078715920448,
-0.0604495108127594,
-0.01130885910242796,
-0.060120802372694016,
0.13508804142475128,
-0.041289545595645905,
-0.002617834135890007,
-0.06174775958061218,
-0.024289455264806747,
-0.0525047667324543,
-0.0982266217470169,
-0.0656600221991539,
0.03674257919192314,
-0.0023124313447624445,
-0.03374180570244789,
-0.02071433514356613,
0.08139409124851227,
0.059063736349344254,
0.03221829608082771,
-0.020416999235749245,
0.007401599083095789,
-0.00991336815059185,
-0.0473945178091526,
0.06400435417890549,
0.06549057364463806,
-0.00946486834436655,
0.00067756581120193,
-0.019214963540434837,
0.04747851938009262,
-0.07449666410684586,
0.08128774911165237,
-0.0031701899133622646,
-0.01015294250100851,
-0.12894989550113678,
0.025507178157567978,
0.08572384715080261,
-0.009185689501464367,
-0.02102542482316494,
0.012981198728084564,
-0.034685954451560974,
0.03678087890148163,
0.046740755438804626,
-0.08912228047847748,
-0.04195959493517876,
-0.06099717319011688,
-0.04485305771231651,
0.010711677372455597,
-0.011867612600326538,
-0.03858546167612076,
0.005780621897429228,
0.062125980854034424,
-0.023110494017601013,
-0.0953884869813919,
-0.04164964705705643,
-0.08225230127573013,
-0.008613470010459423,
0.12108400464057922,
0.07019491493701935,
-0.001953091355971992,
0.07412362843751907,
-0.0008683342020958662,
0.008334040641784668,
0.06050695851445198,
0.08915412425994873,
0.035458389669656754,
0.0582088939845562,
-0.08037693798542023,
-0.04284875467419624,
-0.020113006234169006,
-0.06432731449604034,
0.011189226061105728,
-0.04484784975647926,
-4.916138607313769e-8,
-0.023782650008797646,
-0.04805716872215271,
0.031978145241737366,
0.02983514405786991,
0.028589053079485893,
-0.05213703215122223,
0.06179003790020943,
0.08238078653812408,
-0.020859716460108757,
-0.07195913046598434,
0.07614726573228836,
-0.015904363244771957,
0.04889923706650734,
-0.022299572825431824,
-0.03777214512228966,
0.0500435046851635,
-0.020050402730703354,
-0.024371951818466187,
0.009470079094171524,
0.0552741140127182,
0.04597660154104233,
0.0535210445523262,
-0.006611608434468508,
-0.0039132386445999146,
0.09498623013496399,
-0.08186482638120651,
-0.0005178811843506992,
0.015563493594527245,
-0.005078789312392473,
-0.013935231603682041,
0.007770621683448553,
0.030678443610668182,
0.03527907282114029,
-0.0004896355676464736,
-0.03990365192294121,
-0.010330048389732838,
0.028420928865671158,
0.01451942604035139,
-0.008909305557608604,
-0.08399984240531921,
-0.0017009376315400004,
0.0446162074804306,
0.0026323278434574604,
-0.013175700791180134,
0.043294694274663925,
-0.021147403866052628,
-0.005186345893889666,
-0.06137304753065109,
0.026629282161593437,
-0.04818994551897049,
0.09660482406616211,
-0.004532271530479193,
0.04929200932383537,
0.02485024742782116,
0.13872340321540833,
-0.057701222598552704,
-0.07232616096735,
-0.03058730624616146,
-0.03378189355134964,
0.06349930912256241,
0.016126932576298714,
-0.015828458592295647,
0.001206871122121811,
-0.018210599198937416
] | null | null | null | null | null | null | null |
[
-0.1508563905954361,
-0.09149011969566345,
0.09178916364908218,
0.04995574802160263,
0.03527157008647919,
-0.05782373622059822,
-0.08736170828342438,
-0.08654680103063583,
0.059542763978242874,
-0.018962174654006958,
-0.031891729682683945,
0.004962354898452759,
-0.014968362636864185,
0.0357864573597908,
-0.019622093066573143,
0.03277650102972984,
0.0003334386565256864,
0.034967873245477676,
0.02747255191206932,
-0.041606396436691284,
0.005999485030770302,
0.0328412689268589,
-0.09675431251525879,
0.042173389345407486,
0.1026594266295433,
0.05578451603651047,
-0.009423297829926014,
0.048070717602968216,
-0.08594629913568497,
0.006739962846040726,
0.04483221098780632,
-0.05722298100590706,
0.06986627727746964,
-0.003269071690738201,
-0.08250103890895844,
-0.06029399111866951,
-0.028946643695235252,
0.03998745605349541,
-0.02435913123190403,
0.08989487588405609,
0.02019083872437477,
0.002618436235934496,
0.0043160985223948956,
-0.003318699076771736,
0.03986351191997528,
-0.024514583870768547,
0.035010166466236115,
-0.08813154697418213,
-0.01981653831899166,
0.030211767181754112,
-0.05893965810537338,
0.0057765585370361805,
0.018971286714076996,
0.1044720783829689,
0.06468275189399719,
0.08379516005516052,
-0.0258580781519413,
0.04080019146203995,
0.07008849084377289,
0.03347306698560715,
0.05698996037244797,
-0.05138362944126129,
0.03900371864438057,
-0.025172213092446327,
-0.03995373845100403,
0.013965768739581108,
-0.006147248204797506,
0.07392838597297668,
0.009045015089213848,
0.09539589285850525,
-0.027556665241718292,
0.09248081594705582,
-0.04547719284892082,
0.003993895836174488,
0.03125252202153206,
-0.027694059535861015,
0.06882692128419876,
0.02415216714143753,
0.05105619505047798,
-0.10691490769386292,
-0.057031020522117615,
0.035619575530290604,
-0.006396878510713577,
-0.03921860083937645,
0.060177773237228394,
-0.00026074322522617877,
0.06582934409379959,
0.0847686156630516,
0.035347044467926025,
0.06663642823696136,
-0.01752394624054432,
-0.023303192108869553,
-0.028906794264912605,
0.008516409434378147,
0.0025582287926226854,
-0.0072795310989022255,
0.013588924892246723,
-0.015800151973962784,
0.09102553129196167,
0.08699092268943787,
-0.0809466764330864,
0.012359368614852428,
-0.0023268633522093296,
-0.011050726287066936,
-0.0030486728064715862,
-0.1277218908071518,
0.009161566384136677,
0.029729485511779785,
0.008287642151117325,
-0.04197182133793831,
0.03156042471528053,
0.005595536436885595,
-0.006280828732997179,
0.014073958620429039,
0.019967418164014816,
-0.030601631850004196,
0.029534779489040375,
-0.04853323474526405,
-0.05984915792942047,
0.09987976402044296,
0.06674036383628845,
-0.040060289204120636,
0.0052698939107358456,
0.07556074857711792,
0.059973087161779404,
-0.031196320429444313,
-0.12166479229927063,
8.908540875714324e-34,
-0.05545191094279289,
-0.01687445305287838,
0.09691212326288223,
-0.037703897804021835,
-0.03296058624982834,
-0.037478987127542496,
-0.02162289433181286,
0.004420421086251736,
-0.031088072806596756,
0.0681714415550232,
-0.006962991785258055,
0.0019991337321698666,
-0.03846828266978264,
0.06586864590644836,
0.04720943793654442,
-0.03134801238775253,
-0.03023402765393257,
0.0359746515750885,
0.011379977688193321,
-0.00143615051638335,
0.035178061574697495,
-0.0455741286277771,
-0.0441475510597229,
-0.08567290753126144,
-0.0016181136015802622,
-0.009845524094998837,
0.007071117404848337,
0.03711003437638283,
0.03451288491487503,
0.030091462656855583,
-0.05106459558010101,
0.032210927456617355,
-0.04354638233780861,
-0.029679900035262108,
0.06013880670070648,
-0.045923057943582535,
-0.0033905047457665205,
-0.024443989619612694,
-0.05696737766265869,
0.05834142118692398,
-0.0008317848551087081,
-0.009461600333452225,
0.0034086487721651793,
0.03655672073364258,
-0.05265050753951073,
-0.022526610642671585,
0.002961756894364953,
0.03540581837296486,
-0.00861895177513361,
-0.04036163166165352,
-0.030645253136754036,
-0.0074590230360627174,
-0.06556910276412964,
-0.08023335784673691,
-0.10365435481071472,
0.05352197587490082,
-0.07076729834079742,
-0.051930781453847885,
0.0036784615367650986,
0.12527664005756378,
-0.06959612667560577,
0.002726689912378788,
0.03970329463481903,
-0.012783991172909737,
-0.024503782391548157,
0.041569046676158905,
0.04080837592482567,
-0.01777857542037964,
0.06550706923007965,
-0.026387721300125122,
0.04193709045648575,
-0.008160722441971302,
-0.013707568868994713,
-0.04316617175936699,
0.06458251923322678,
-0.014099841006100178,
0.06563874334096909,
-0.03295449912548065,
-0.06948831677436829,
-0.03676450252532959,
-0.025670524686574936,
-0.01439482718706131,
0.08262443542480469,
-0.03709205612540245,
0.01290134061127901,
-0.0791153684258461,
-0.027978336438536644,
-0.02050597593188286,
-0.07617805898189545,
-0.005056855734437704,
-0.24000602960586548,
-0.012511088512837887,
-0.005373157095164061,
0.0019380751764401793,
0.0599626824259758,
-2.3747362589250776e-33,
0.0260268896818161,
-0.004034383688122034,
0.029029613360762596,
0.004391964990645647,
-0.005810188595205545,
0.04184629023075104,
-0.048550039529800415,
0.05327209457755089,
0.045973002910614014,
-0.0027078227140009403,
0.027959922328591347,
-0.030229320749640465,
0.07296188920736313,
0.06717859208583832,
0.02188652940094471,
0.06724034249782562,
-0.022754322737455368,
0.003193608717992902,
0.018099408596754074,
0.04681800678372383,
0.014646736904978752,
0.04540509358048439,
-0.06849832087755203,
0.04901078715920448,
-0.0604495108127594,
-0.01130885910242796,
-0.060120802372694016,
0.13508804142475128,
-0.041289545595645905,
-0.002617834135890007,
-0.06174775958061218,
-0.024289455264806747,
-0.0525047667324543,
-0.0982266217470169,
-0.0656600221991539,
0.03674257919192314,
-0.0023124313447624445,
-0.03374180570244789,
-0.02071433514356613,
0.08139409124851227,
0.059063736349344254,
0.03221829608082771,
-0.020416999235749245,
0.007401599083095789,
-0.00991336815059185,
-0.0473945178091526,
0.06400435417890549,
0.06549057364463806,
-0.00946486834436655,
0.00067756581120193,
-0.019214963540434837,
0.04747851938009262,
-0.07449666410684586,
0.08128774911165237,
-0.0031701899133622646,
-0.01015294250100851,
-0.12894989550113678,
0.025507178157567978,
0.08572384715080261,
-0.009185689501464367,
-0.02102542482316494,
0.012981198728084564,
-0.034685954451560974,
0.03678087890148163,
0.046740755438804626,
-0.08912228047847748,
-0.04195959493517876,
-0.06099717319011688,
-0.04485305771231651,
0.010711677372455597,
-0.011867612600326538,
-0.03858546167612076,
0.005780621897429228,
0.062125980854034424,
-0.023110494017601013,
-0.0953884869813919,
-0.04164964705705643,
-0.08225230127573013,
-0.008613470010459423,
0.12108400464057922,
0.07019491493701935,
-0.001953091355971992,
0.07412362843751907,
-0.0008683342020958662,
0.008334040641784668,
0.06050695851445198,
0.08915412425994873,
0.035458389669656754,
0.0582088939845562,
-0.08037693798542023,
-0.04284875467419624,
-0.020113006234169006,
-0.06432731449604034,
0.011189226061105728,
-0.04484784975647926,
-4.916138607313769e-8,
-0.023782650008797646,
-0.04805716872215271,
0.031978145241737366,
0.02983514405786991,
0.028589053079485893,
-0.05213703215122223,
0.06179003790020943,
0.08238078653812408,
-0.020859716460108757,
-0.07195913046598434,
0.07614726573228836,
-0.015904363244771957,
0.04889923706650734,
-0.022299572825431824,
-0.03777214512228966,
0.0500435046851635,
-0.020050402730703354,
-0.024371951818466187,
0.009470079094171524,
0.0552741140127182,
0.04597660154104233,
0.0535210445523262,
-0.006611608434468508,
-0.0039132386445999146,
0.09498623013496399,
-0.08186482638120651,
-0.0005178811843506992,
0.015563493594527245,
-0.005078789312392473,
-0.013935231603682041,
0.007770621683448553,
0.030678443610668182,
0.03527907282114029,
-0.0004896355676464736,
-0.03990365192294121,
-0.010330048389732838,
0.028420928865671158,
0.01451942604035139,
-0.008909305557608604,
-0.08399984240531921,
-0.0017009376315400004,
0.0446162074804306,
0.0026323278434574604,
-0.013175700791180134,
0.043294694274663925,
-0.021147403866052628,
-0.005186345893889666,
-0.06137304753065109,
0.026629282161593437,
-0.04818994551897049,
0.09660482406616211,
-0.004532271530479193,
0.04929200932383537,
0.02485024742782116,
0.13872340321540833,
-0.057701222598552704,
-0.07232616096735,
-0.03058730624616146,
-0.03378189355134964,
0.06349930912256241,
0.016126932576298714,
-0.015828458592295647,
0.001206871122121811,
-0.018210599198937416
] |
1401.6417
|
Rashad Moarref
|
R. Moarref and M. R. Jovanovic and J. A. Tropp and A. S. Sharma and B.
J. McKeon
|
A low-order decomposition of turbulent channel flow via resolvent
analysis and convex optimization
| null |
Phys. Fluids, 26: 051701, 2014
|
10.1063/1.4876195
| null |
physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We combine resolvent-mode decomposition with techniques from convex
optimization to optimally approximate velocity spectra in a turbulent channel.
The velocity is expressed as a weighted sum of resolvent modes that are
dynamically significant, non-empirical, and scalable with Reynolds number. To
optimally represent DNS data at friction Reynolds number $2003$, we determine
the weights of resolvent modes as the solution of a convex optimization
problem. Using only $12$ modes per wall-parallel wavenumber pair and temporal
frequency, we obtain close agreement with DNS-spectra, reducing the wall-normal
and temporal resolutions used in the simulation by three orders of magnitude.
|
[
{
"created": "Fri, 24 Jan 2014 18:25:28 GMT",
"version": "v1"
},
{
"created": "Wed, 21 May 2014 06:13:13 GMT",
"version": "v2"
}
] |
2014-05-22
|
[
[
"Moarref",
"R.",
""
],
[
"Jovanovic",
"M. R.",
""
],
[
"Tropp",
"J. A.",
""
],
[
"Sharma",
"A. S.",
""
],
[
"McKeon",
"B. J.",
""
]
] |
[
-0.01169655378907919,
-0.0247489046305418,
0.09893813729286194,
0.01846935786306858,
-0.11247067153453827,
-0.055440228432416916,
-0.04533010348677635,
-0.009901109151542187,
0.04708847776055336,
-0.0068116760812699795,
-0.09497381001710892,
0.005462280008941889,
-0.07567218691110611,
-0.01604452170431614,
-0.002381975995376706,
0.004705043975263834,
-0.05586656928062439,
0.05717919021844864,
-0.03179096430540085,
-0.040365010499954224,
0.11658356338739395,
0.13851025700569153,
-0.07802951335906982,
-0.043999362736940384,
0.053276680409908295,
-0.010545930825173855,
-0.06246105954051018,
-0.02934010699391365,
0.07366713881492615,
0.05088893696665764,
0.11427318304777145,
0.07596241682767868,
-0.08996827155351639,
-0.00830693170428276,
-0.025815563276410103,
-0.08210009336471558,
0.009164304472506046,
0.07689930498600006,
-0.025109637528657913,
0.05863300710916519,
0.035233430564403534,
0.04820702597498894,
0.07703199237585068,
0.016897138208150864,
0.07030699402093887,
0.03393598645925522,
0.03541555255651474,
0.017138535156846046,
0.004468216560781002,
-0.0159071646630764,
0.01948092319071293,
0.0451221838593483,
-0.04863898828625679,
0.023804811760783195,
-0.004925525281578302,
-0.004452341701835394,
-0.011953383684158325,
-0.06055625528097153,
0.005771450232714415,
-0.0029999404214322567,
0.04381478577852249,
-0.018919719383120537,
0.00192877440713346,
-0.028041496872901917,
0.05263707414269447,
0.017333632335066795,
0.04210621118545532,
0.01602330058813095,
0.04980182275176048,
0.04473152384161949,
-0.06569157540798187,
-0.012542756274342537,
0.03367438539862633,
0.014346862211823463,
0.07092976570129395,
-0.03900514915585518,
-0.05666853487491608,
0.0176826361566782,
-0.03824404254555702,
-0.07058244198560715,
0.11173108220100403,
0.07133514434099197,
-0.025555212050676346,
0.06491944193840027,
-0.021306561306118965,
-0.033610399812459946,
-0.00042401885730214417,
-0.01787867769598961,
0.04259566217660904,
-0.03819715231657028,
-0.05781079828739166,
0.005734472069889307,
0.013576338067650795,
-0.007680641487240791,
-0.05282501131296158,
0.01610276661813259,
0.04915779083967209,
0.03013339824974537,
0.04208894819021225,
0.04428589344024658,
0.023417839780449867,
-0.08116383850574493,
-0.03213418647646904,
0.05964602902531624,
-0.03706629201769829,
0.026778968051075935,
0.051830243319272995,
0.04819850996136665,
-0.03386283665895462,
-0.000404609483666718,
0.026363326236605644,
0.004104297608137131,
0.011058476753532887,
-0.038208313286304474,
0.07808347791433334,
-0.048592228442430496,
0.020298391580581665,
-0.002025422640144825,
0.10460960119962692,
-0.027422351762652397,
-0.030874403193593025,
-0.03685246780514717,
0.027870899066329002,
0.014899183996021748,
0.09567669779062271,
0.10568871349096298,
-0.00997281912714243,
1.2885613871725409e-33,
0.04186175391077995,
0.03499862179160118,
-0.036157723516225815,
-0.047557566314935684,
0.055740516632795334,
0.05376157537102699,
0.057976268231868744,
-0.016210131347179413,
0.042657218873500824,
0.05085320770740509,
-0.06780292838811874,
-0.0036143725737929344,
-0.10811571776866913,
0.005314860492944717,
-0.00109676003921777,
-0.00972310733050108,
-0.0163977462798357,
-0.02673693187534809,
-0.05715429410338402,
-0.02404887042939663,
0.05770144239068031,
-0.029201079159975052,
-0.017060089856386185,
-0.039149049669504166,
-0.023658394813537598,
-0.07918471097946167,
0.03832321986556053,
-0.007950488477945328,
-0.018134387210011482,
0.0022491770796477795,
-0.009890018031001091,
-0.08230245113372803,
0.008001075126230717,
0.03980248048901558,
0.030175024643540382,
0.10007469356060028,
0.06746368855237961,
0.05788035690784454,
-0.0010922602377831936,
0.004175836220383644,
-0.057232264429330826,
0.04145212098956108,
-0.09567808359861374,
0.025082075968384743,
-0.061511121690273285,
-0.0744783952832222,
0.014414023607969284,
0.06815439462661743,
0.005785766988992691,
-0.05164865031838417,
0.01277972012758255,
0.0000658703429508023,
0.02153187245130539,
-0.06097085401415825,
0.08147317171096802,
-0.04386715590953827,
0.062017593532800674,
-0.024129873141646385,
-0.02326609194278717,
0.0533735528588295,
-0.05286308005452156,
-0.09235725551843643,
-0.018299782648682594,
-0.0547611303627491,
-0.005707160569727421,
0.04197152331471443,
0.039136145263910294,
0.09445381164550781,
0.041434984654188156,
-0.09602215886116028,
-0.0079389913007617,
0.04580974578857422,
0.05540057644248009,
-0.09591451287269592,
0.06413109600543976,
-0.020043443888425827,
-0.00585899967700243,
0.06869178265333176,
-0.09148901700973511,
0.06892231851816177,
-0.060270000249147415,
0.12072189897298813,
-0.04446534067392349,
0.07350660115480423,
0.006358728744089603,
0.013053646311163902,
0.04390832781791687,
-0.02432127483189106,
-0.04395943507552147,
-0.11503961682319641,
-0.08324526250362396,
0.055426616221666336,
0.07527316361665726,
0.043195001780986786,
0.019512547180056572,
-1.5730298262100844e-33,
-0.03532513976097107,
0.014291172847151756,
0.028074532747268677,
0.06552280485630035,
-0.0013186754658818245,
-0.024794695898890495,
0.010398284532129765,
0.015402676537632942,
0.013340597040951252,
-0.10433389246463776,
0.01911827363073826,
-0.046215131878852844,
-0.07514001429080963,
-0.024574510753154755,
0.1333341747522354,
-0.025713283568620682,
-0.029845666140317917,
-0.04686200991272926,
0.046494755893945694,
-0.02172713354229927,
0.012579690665006638,
-0.047752730548381805,
-0.1038195937871933,
0.047548558562994,
-0.0002091579808620736,
-0.047358036041259766,
0.038512106984853745,
-0.042776402086019516,
-0.0002920007682405412,
-0.03631764277815819,
0.027633724734187126,
-0.018451577052474022,
0.0035337393637746572,
-0.021734796464443207,
-0.014005911536514759,
0.08989717066287994,
-0.01383967325091362,
0.030995730310678482,
-0.05686115473508835,
-0.012985064648091793,
0.03981517255306244,
-0.05540815368294716,
-0.03970792517066002,
-0.041897907853126526,
0.05034198984503746,
-0.013523537665605545,
-0.0299898162484169,
-0.05842750892043114,
0.01878003403544426,
-0.010085015557706356,
0.08259639143943787,
-0.05964620038866997,
-0.052985724061727524,
0.01968815177679062,
0.05809282884001732,
0.05069092661142349,
0.1084524393081665,
0.07169100642204285,
0.08147590607404709,
-0.027910437434911728,
-0.02310074493288994,
-0.08711953461170197,
-0.08141937851905823,
0.0580902099609375,
0.03002987988293171,
0.029029302299022675,
0.023113250732421875,
-0.04344142973423004,
-0.03727428615093231,
-0.020609330385923386,
-0.0005787129630334675,
0.008346054702997208,
-0.006712025497108698,
0.03336331993341446,
0.028899889439344406,
-0.06487814337015152,
0.0026733672711998224,
0.0032552960328757763,
-0.09657014906406403,
0.18510468304157257,
0.011113060638308525,
0.04486202821135521,
0.041636448353528976,
0.015082033351063728,
0.0064925444312393665,
-0.01719566062092781,
-0.01334165409207344,
-0.006896938197314739,
-0.016254276037216187,
0.01007516123354435,
0.09869245439767838,
-0.009182142093777657,
0.000465936231194064,
-0.08547788858413696,
-0.010732484981417656,
-4.5361193912185627e-8,
-0.0636025071144104,
-0.07971715182065964,
-0.09235837310552597,
-0.038801420480012894,
-0.022070638835430145,
-0.007981494069099426,
0.005406528245657682,
-0.014469586312770844,
0.022019926458597183,
-0.04582802951335907,
0.12792883813381195,
-0.08292403817176819,
-0.0440659262239933,
0.027811314910650253,
0.011168872006237507,
-0.058056142181158066,
0.03216201066970825,
-0.04540763795375824,
-0.019279303029179573,
-0.0714125856757164,
-0.025677351281046867,
0.05993352085351944,
-0.080001600086689,
-0.033050425350666046,
0.0020116392988711596,
-0.031909286975860596,
0.036360498517751694,
0.005109506193548441,
0.09413343667984009,
0.024030860513448715,
-0.04071274399757385,
-0.02057412639260292,
-0.011176270432770252,
0.05732542648911476,
-0.041081421077251434,
0.004479240160435438,
-0.02864030934870243,
0.02340073511004448,
-0.05065029859542847,
-0.009611725807189941,
-0.0332665778696537,
0.05762815847992897,
0.0014308409299701452,
-0.020226161926984787,
0.12730740010738373,
0.036111585795879364,
-0.013868462294340134,
0.026167385280132294,
0.00834895670413971,
0.014215745031833649,
0.023928232491016388,
0.06386972218751907,
0.07064139097929001,
0.013198415748775005,
-0.01959509588778019,
0.0059682694263756275,
-0.07830207049846649,
-0.06764522194862366,
-0.03276636078953743,
-0.07861188799142838,
0.00022150178847368807,
-0.013324535451829433,
-0.0848587304353714,
-0.04711160436272621
] | null | null | null | null | null | null | null |
[
-0.01169655378907919,
-0.0247489046305418,
0.09893813729286194,
0.01846935786306858,
-0.11247067153453827,
-0.055440228432416916,
-0.04533010348677635,
-0.009901109151542187,
0.04708847776055336,
-0.0068116760812699795,
-0.09497381001710892,
0.005462280008941889,
-0.07567218691110611,
-0.01604452170431614,
-0.002381975995376706,
0.004705043975263834,
-0.05586656928062439,
0.05717919021844864,
-0.03179096430540085,
-0.040365010499954224,
0.11658356338739395,
0.13851025700569153,
-0.07802951335906982,
-0.043999362736940384,
0.053276680409908295,
-0.010545930825173855,
-0.06246105954051018,
-0.02934010699391365,
0.07366713881492615,
0.05088893696665764,
0.11427318304777145,
0.07596241682767868,
-0.08996827155351639,
-0.00830693170428276,
-0.025815563276410103,
-0.08210009336471558,
0.009164304472506046,
0.07689930498600006,
-0.025109637528657913,
0.05863300710916519,
0.035233430564403534,
0.04820702597498894,
0.07703199237585068,
0.016897138208150864,
0.07030699402093887,
0.03393598645925522,
0.03541555255651474,
0.017138535156846046,
0.004468216560781002,
-0.0159071646630764,
0.01948092319071293,
0.0451221838593483,
-0.04863898828625679,
0.023804811760783195,
-0.004925525281578302,
-0.004452341701835394,
-0.011953383684158325,
-0.06055625528097153,
0.005771450232714415,
-0.0029999404214322567,
0.04381478577852249,
-0.018919719383120537,
0.00192877440713346,
-0.028041496872901917,
0.05263707414269447,
0.017333632335066795,
0.04210621118545532,
0.01602330058813095,
0.04980182275176048,
0.04473152384161949,
-0.06569157540798187,
-0.012542756274342537,
0.03367438539862633,
0.014346862211823463,
0.07092976570129395,
-0.03900514915585518,
-0.05666853487491608,
0.0176826361566782,
-0.03824404254555702,
-0.07058244198560715,
0.11173108220100403,
0.07133514434099197,
-0.025555212050676346,
0.06491944193840027,
-0.021306561306118965,
-0.033610399812459946,
-0.00042401885730214417,
-0.01787867769598961,
0.04259566217660904,
-0.03819715231657028,
-0.05781079828739166,
0.005734472069889307,
0.013576338067650795,
-0.007680641487240791,
-0.05282501131296158,
0.01610276661813259,
0.04915779083967209,
0.03013339824974537,
0.04208894819021225,
0.04428589344024658,
0.023417839780449867,
-0.08116383850574493,
-0.03213418647646904,
0.05964602902531624,
-0.03706629201769829,
0.026778968051075935,
0.051830243319272995,
0.04819850996136665,
-0.03386283665895462,
-0.000404609483666718,
0.026363326236605644,
0.004104297608137131,
0.011058476753532887,
-0.038208313286304474,
0.07808347791433334,
-0.048592228442430496,
0.020298391580581665,
-0.002025422640144825,
0.10460960119962692,
-0.027422351762652397,
-0.030874403193593025,
-0.03685246780514717,
0.027870899066329002,
0.014899183996021748,
0.09567669779062271,
0.10568871349096298,
-0.00997281912714243,
1.2885613871725409e-33,
0.04186175391077995,
0.03499862179160118,
-0.036157723516225815,
-0.047557566314935684,
0.055740516632795334,
0.05376157537102699,
0.057976268231868744,
-0.016210131347179413,
0.042657218873500824,
0.05085320770740509,
-0.06780292838811874,
-0.0036143725737929344,
-0.10811571776866913,
0.005314860492944717,
-0.00109676003921777,
-0.00972310733050108,
-0.0163977462798357,
-0.02673693187534809,
-0.05715429410338402,
-0.02404887042939663,
0.05770144239068031,
-0.029201079159975052,
-0.017060089856386185,
-0.039149049669504166,
-0.023658394813537598,
-0.07918471097946167,
0.03832321986556053,
-0.007950488477945328,
-0.018134387210011482,
0.0022491770796477795,
-0.009890018031001091,
-0.08230245113372803,
0.008001075126230717,
0.03980248048901558,
0.030175024643540382,
0.10007469356060028,
0.06746368855237961,
0.05788035690784454,
-0.0010922602377831936,
0.004175836220383644,
-0.057232264429330826,
0.04145212098956108,
-0.09567808359861374,
0.025082075968384743,
-0.061511121690273285,
-0.0744783952832222,
0.014414023607969284,
0.06815439462661743,
0.005785766988992691,
-0.05164865031838417,
0.01277972012758255,
0.0000658703429508023,
0.02153187245130539,
-0.06097085401415825,
0.08147317171096802,
-0.04386715590953827,
0.062017593532800674,
-0.024129873141646385,
-0.02326609194278717,
0.0533735528588295,
-0.05286308005452156,
-0.09235725551843643,
-0.018299782648682594,
-0.0547611303627491,
-0.005707160569727421,
0.04197152331471443,
0.039136145263910294,
0.09445381164550781,
0.041434984654188156,
-0.09602215886116028,
-0.0079389913007617,
0.04580974578857422,
0.05540057644248009,
-0.09591451287269592,
0.06413109600543976,
-0.020043443888425827,
-0.00585899967700243,
0.06869178265333176,
-0.09148901700973511,
0.06892231851816177,
-0.060270000249147415,
0.12072189897298813,
-0.04446534067392349,
0.07350660115480423,
0.006358728744089603,
0.013053646311163902,
0.04390832781791687,
-0.02432127483189106,
-0.04395943507552147,
-0.11503961682319641,
-0.08324526250362396,
0.055426616221666336,
0.07527316361665726,
0.043195001780986786,
0.019512547180056572,
-1.5730298262100844e-33,
-0.03532513976097107,
0.014291172847151756,
0.028074532747268677,
0.06552280485630035,
-0.0013186754658818245,
-0.024794695898890495,
0.010398284532129765,
0.015402676537632942,
0.013340597040951252,
-0.10433389246463776,
0.01911827363073826,
-0.046215131878852844,
-0.07514001429080963,
-0.024574510753154755,
0.1333341747522354,
-0.025713283568620682,
-0.029845666140317917,
-0.04686200991272926,
0.046494755893945694,
-0.02172713354229927,
0.012579690665006638,
-0.047752730548381805,
-0.1038195937871933,
0.047548558562994,
-0.0002091579808620736,
-0.047358036041259766,
0.038512106984853745,
-0.042776402086019516,
-0.0002920007682405412,
-0.03631764277815819,
0.027633724734187126,
-0.018451577052474022,
0.0035337393637746572,
-0.021734796464443207,
-0.014005911536514759,
0.08989717066287994,
-0.01383967325091362,
0.030995730310678482,
-0.05686115473508835,
-0.012985064648091793,
0.03981517255306244,
-0.05540815368294716,
-0.03970792517066002,
-0.041897907853126526,
0.05034198984503746,
-0.013523537665605545,
-0.0299898162484169,
-0.05842750892043114,
0.01878003403544426,
-0.010085015557706356,
0.08259639143943787,
-0.05964620038866997,
-0.052985724061727524,
0.01968815177679062,
0.05809282884001732,
0.05069092661142349,
0.1084524393081665,
0.07169100642204285,
0.08147590607404709,
-0.027910437434911728,
-0.02310074493288994,
-0.08711953461170197,
-0.08141937851905823,
0.0580902099609375,
0.03002987988293171,
0.029029302299022675,
0.023113250732421875,
-0.04344142973423004,
-0.03727428615093231,
-0.020609330385923386,
-0.0005787129630334675,
0.008346054702997208,
-0.006712025497108698,
0.03336331993341446,
0.028899889439344406,
-0.06487814337015152,
0.0026733672711998224,
0.0032552960328757763,
-0.09657014906406403,
0.18510468304157257,
0.011113060638308525,
0.04486202821135521,
0.041636448353528976,
0.015082033351063728,
0.0064925444312393665,
-0.01719566062092781,
-0.01334165409207344,
-0.006896938197314739,
-0.016254276037216187,
0.01007516123354435,
0.09869245439767838,
-0.009182142093777657,
0.000465936231194064,
-0.08547788858413696,
-0.010732484981417656,
-4.5361193912185627e-8,
-0.0636025071144104,
-0.07971715182065964,
-0.09235837310552597,
-0.038801420480012894,
-0.022070638835430145,
-0.007981494069099426,
0.005406528245657682,
-0.014469586312770844,
0.022019926458597183,
-0.04582802951335907,
0.12792883813381195,
-0.08292403817176819,
-0.0440659262239933,
0.027811314910650253,
0.011168872006237507,
-0.058056142181158066,
0.03216201066970825,
-0.04540763795375824,
-0.019279303029179573,
-0.0714125856757164,
-0.025677351281046867,
0.05993352085351944,
-0.080001600086689,
-0.033050425350666046,
0.0020116392988711596,
-0.031909286975860596,
0.036360498517751694,
0.005109506193548441,
0.09413343667984009,
0.024030860513448715,
-0.04071274399757385,
-0.02057412639260292,
-0.011176270432770252,
0.05732542648911476,
-0.041081421077251434,
0.004479240160435438,
-0.02864030934870243,
0.02340073511004448,
-0.05065029859542847,
-0.009611725807189941,
-0.0332665778696537,
0.05762815847992897,
0.0014308409299701452,
-0.020226161926984787,
0.12730740010738373,
0.036111585795879364,
-0.013868462294340134,
0.026167385280132294,
0.00834895670413971,
0.014215745031833649,
0.023928232491016388,
0.06386972218751907,
0.07064139097929001,
0.013198415748775005,
-0.01959509588778019,
0.0059682694263756275,
-0.07830207049846649,
-0.06764522194862366,
-0.03276636078953743,
-0.07861188799142838,
0.00022150178847368807,
-0.013324535451829433,
-0.0848587304353714,
-0.04711160436272621
] |
1401.6420
|
Ronald Hochreiter
|
Ronald Hochreiter and Christoph Waldhauser
|
Zombie Politics: Evolutionary Algorithms to Counteract the Spread of
Negative Opinions
| null | null | null | null |
cs.SI physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper is about simulating the spread of opinions in a society and about
finding ways to counteract that spread. To abstract away from potentially
emotionally laden opinions, we instead simulate the spread of a zombie outbreak
in a society. The virus causing this outbreak is different from traditional
approaches: it not only causes a binary outcome (healthy vs infected) but
rather a continuous outcome. To counteract the outbreak, a discrete number of
infection-level specific treatments is available. This corresponds to acts of
mild persuasion or the threats of legal action in the opinion spreading use
case. This paper offers a genetic and a cultural algorithm that find the
optimal mixture of treatments during the run of the simulation. They are
assessed in a number of different scenarios. It is shown, that albeit far from
being perfect, the cultural algorithm delivers superior performance at lower
computational expense.
|
[
{
"created": "Wed, 22 Jan 2014 15:49:09 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Hochreiter",
"Ronald",
""
],
[
"Waldhauser",
"Christoph",
""
]
] |
[
-0.013232648372650146,
0.028833705931901932,
-0.06656880676746368,
-0.031515467911958694,
0.01797080598771572,
-0.03926127031445503,
0.03515661880373955,
0.014214476570487022,
0.041168615221977234,
-0.010516338981688023,
0.008817731402814388,
-0.04468706250190735,
0.09904348850250244,
0.017296360805630684,
-0.012862082570791245,
-0.018265029415488243,
0.01997232437133789,
-0.02017568051815033,
-0.010972324758768082,
-0.053934246301651,
-0.07892682403326035,
0.017631961032748222,
0.03871966525912285,
-0.05215374007821083,
-0.017719395458698273,
-0.032670293003320694,
0.047215916216373444,
-0.0035127075389027596,
0.041243746876716614,
0.021737562492489815,
0.15365594625473022,
0.03295106068253517,
0.04238311946392059,
-0.05085590481758118,
-0.08663394302129745,
-0.0005106988246552646,
-0.08849305659532547,
-0.0342787466943264,
-0.03237542137503624,
0.04754549264907837,
-0.052499838173389435,
0.04634160175919533,
0.04053076356649399,
-0.013571707531809807,
0.10070579499006271,
0.01632586307823658,
-0.08148995041847229,
0.09657444059848785,
0.0011930507607758045,
-0.022137872874736786,
-0.13206413388252258,
-0.03266109153628349,
0.013981327414512634,
0.03851664438843727,
0.02949615940451622,
-0.13843947649002075,
0.025496622547507286,
-0.01059899851679802,
-0.0421975702047348,
0.0006682452512905002,
-0.002902762498706579,
-0.0034074720460921526,
-0.03479160740971565,
-0.016775619238615036,
-0.020000075921416283,
0.024737298488616943,
0.011290601454675198,
0.07543620467185974,
-0.008938577026128769,
0.02008662186563015,
0.012834415771067142,
0.05661863833665848,
-0.011549526825547218,
0.07286138087511063,
-0.05428566038608551,
0.035971786826848984,
-0.020643822848796844,
-0.06914013624191284,
0.0259998831897974,
-0.015120003372430801,
0.04229117929935455,
-0.048108652234077454,
0.05063013359904289,
-0.04304978996515274,
0.00518183084204793,
-0.051012080162763596,
0.03940451890230179,
0.044110942631959915,
0.07408224046230316,
0.1298421025276184,
-0.04975036531686783,
0.06856070458889008,
0.05003642663359642,
-0.0005975753883831203,
-0.034079037606716156,
0.048817314207553864,
-0.05796963721513748,
-0.02353511191904545,
0.009726329706609249,
0.11346077173948288,
-0.0657593309879303,
-0.09043124318122864,
-0.011145466938614845,
-0.09176857769489288,
0.01679612323641777,
-0.06531014293432236,
-0.014902655966579914,
-0.0074256048537790775,
-0.020633943378925323,
-0.0229504331946373,
-0.1102570965886116,
0.041735198348760605,
-0.038669951260089874,
-0.04408169537782669,
0.0655801072716713,
-0.05591161176562309,
0.11330448091030121,
0.007729273289442062,
-0.0027481787838041782,
0.007680163253098726,
0.06486819684505463,
0.0180074293166399,
0.0057931444607675076,
0.012894039042294025,
0.1023574024438858,
0.02530912309885025,
-0.057800550013780594,
-1.6561786027864912e-33,
-0.08566436916589737,
-0.07098943740129471,
0.05078694596886635,
0.09749219566583633,
0.009461050853133202,
-0.014050690457224846,
-0.019449777901172638,
-0.0073896595276892185,
0.01274901069700718,
-0.04899122938513756,
0.00406952528283,
0.022930501028895378,
0.030729345977306366,
0.04163403809070587,
0.014707540161907673,
-0.054784275591373444,
-0.03164699301123619,
0.08114112913608551,
-0.07117906957864761,
-0.01788030005991459,
0.06244925782084465,
-0.03392108902335167,
0.06457701325416565,
0.010897316969931126,
-0.04368741810321808,
-0.0049081165343523026,
0.004684355575591326,
-0.028979124501347542,
0.10350228101015091,
0.011385499499738216,
-0.03647744283080101,
0.06861080974340439,
-0.06204240769147873,
-0.03221321105957031,
0.029840262606739998,
0.04524288699030876,
-0.014113320037722588,
-0.01458547729998827,
0.03965066745877266,
0.025283118709921837,
-0.08140077441930771,
0.06472597271203995,
0.010215125046670437,
0.07417035102844238,
0.026978211477398872,
0.11247888952493668,
-0.05139234662055969,
-0.03845980763435364,
-0.0363558791577816,
0.0061760456301271915,
0.016318518668413162,
0.021691661328077316,
0.10389681160449982,
-0.011582450941205025,
-0.02977149188518524,
0.011110340245068073,
-0.0024073561653494835,
0.037948425859212875,
-0.007541059982031584,
-0.034661661833524704,
0.030663372948765755,
-0.034832242876291275,
-0.0140836825594306,
-0.014031599275767803,
0.007660239469259977,
-0.03781241551041603,
0.03134782239794731,
-0.061036448925733566,
0.02339010499417782,
0.025273151695728302,
0.08185803890228271,
0.07983551919460297,
-0.05695047229528427,
-0.027811842039227486,
-0.13016867637634277,
-0.04707666486501694,
0.0491686649620533,
0.0033728943672031164,
0.006990204565227032,
-0.07436830550432205,
-0.015202470123767853,
0.0036196699365973473,
-0.06754165142774582,
-0.012661688961088657,
0.0024266617838293314,
-0.03229633718729019,
0.005477507598698139,
0.058915529400110245,
-0.05078202858567238,
0.048149265348911285,
-0.10752341151237488,
0.01550286915153265,
0.0850553885102272,
0.026363402605056763,
0.03259134292602539,
-2.086477074455154e-35,
-0.13439738750457764,
-0.03271361440420151,
-0.03771582618355751,
0.07876289635896683,
-0.028869131579995155,
0.00021377240773290396,
-0.049783557653427124,
-0.036490168422460556,
0.09151974320411682,
0.05933660268783569,
-0.0561659149825573,
-0.05818862095475197,
0.1134808361530304,
0.08087620884180069,
0.0030778697691857815,
-0.08657404035329819,
0.0431072823703289,
-0.000854965066537261,
-0.03213103860616684,
0.03634796664118767,
-0.06011180579662323,
0.09353983402252197,
-0.09875069558620453,
-0.015697984024882317,
0.026688024401664734,
0.021566756069660187,
-0.030711373314261436,
0.06821881979703903,
0.059856679290533066,
-0.040827084332704544,
-0.11333795636892319,
0.023430058732628822,
-0.05027157440781593,
0.020373158156871796,
-0.02533162385225296,
0.10659781843423843,
0.10571449249982834,
-0.005253325216472149,
0.04672333225607872,
0.0008103968575596809,
-0.032403141260147095,
-0.017842022702097893,
-0.14251501858234406,
0.014898904599249363,
-0.07311304658651352,
0.05771849304437637,
-0.010780446231365204,
0.02175179496407509,
0.008913506753742695,
-0.04641032591462135,
0.014858436770737171,
0.034946639090776443,
-0.014712470583617687,
-0.008787276223301888,
-0.0202659722417593,
-0.11701101064682007,
-0.08692063391208649,
-0.08530449122190475,
-0.03182120621204376,
0.01879289001226425,
-0.05976178124547005,
-0.02476854994893074,
-0.022223899140954018,
-0.02269349806010723,
-0.0763811469078064,
-0.057993084192276,
0.016568327322602272,
0.01872212067246437,
0.010916236788034439,
-0.028584888204932213,
0.03856058418750763,
0.10113361477851868,
-0.0666218250989914,
-0.041373029351234436,
0.013102817349135876,
0.037187349051237106,
0.014756295830011368,
-0.022074269130825996,
0.0387253612279892,
-0.005094772670418024,
-0.008888084441423416,
-0.03562784567475319,
0.037011586129665375,
-0.08700390160083771,
-0.035617727786302567,
-0.012186557985842228,
0.03862200677394867,
0.014139137230813503,
0.027251509949564934,
0.024731865152716637,
-0.030154971405863762,
-0.03460093215107918,
0.03952047973871231,
-0.0012191652785986662,
-0.1117192804813385,
-4.492317984272631e-8,
-0.0026439884677529335,
-0.10172255337238312,
0.08300134539604187,
0.04320274293422699,
0.09436631947755814,
0.10074044018983841,
-0.03376482427120209,
0.0041639795526862144,
-0.00513445446267724,
0.040957216173410416,
0.010393555276095867,
0.06255165487527847,
0.055130571126937866,
0.05445239320397377,
-0.018758291378617287,
0.004908392671495676,
-0.036476630717515945,
0.006528947968035936,
-0.03381513059139252,
0.022525368258357048,
0.03821582719683647,
0.05730917304754257,
-0.03263329342007637,
-0.07257721573114395,
0.04156716912984848,
-0.014153104275465012,
-0.024424470961093903,
-0.051765259355306625,
-0.012402131222188473,
0.029705923050642014,
-0.01847020350396633,
-0.04340605065226555,
-0.10923127830028534,
0.046039629727602005,
-0.023380737751722336,
0.026138922199606895,
0.019807051867246628,
0.050466883927583694,
0.006966851186007261,
-0.07660425454378128,
0.06158645078539848,
-0.0043607354164123535,
0.015425657853484154,
0.006667211186140776,
0.0228833369910717,
-0.010387969203293324,
-0.023122278973460197,
-0.024608192965388298,
0.06089532747864723,
0.009466464631259441,
0.021810436621308327,
-0.06852318346500397,
-0.03625454753637314,
0.007628686726093292,
0.04822907969355583,
-0.036670513451099396,
-0.005206485744565725,
0.02655177377164364,
0.07750421017408371,
0.08635886013507843,
0.0022066254168748856,
0.016254007816314697,
-0.010096736252307892,
0.03177790716290474
] | null | null | null | null | null | null | null |
[
-0.013232648372650146,
0.028833705931901932,
-0.06656880676746368,
-0.031515467911958694,
0.01797080598771572,
-0.03926127031445503,
0.03515661880373955,
0.014214476570487022,
0.041168615221977234,
-0.010516338981688023,
0.008817731402814388,
-0.04468706250190735,
0.09904348850250244,
0.017296360805630684,
-0.012862082570791245,
-0.018265029415488243,
0.01997232437133789,
-0.02017568051815033,
-0.010972324758768082,
-0.053934246301651,
-0.07892682403326035,
0.017631961032748222,
0.03871966525912285,
-0.05215374007821083,
-0.017719395458698273,
-0.032670293003320694,
0.047215916216373444,
-0.0035127075389027596,
0.041243746876716614,
0.021737562492489815,
0.15365594625473022,
0.03295106068253517,
0.04238311946392059,
-0.05085590481758118,
-0.08663394302129745,
-0.0005106988246552646,
-0.08849305659532547,
-0.0342787466943264,
-0.03237542137503624,
0.04754549264907837,
-0.052499838173389435,
0.04634160175919533,
0.04053076356649399,
-0.013571707531809807,
0.10070579499006271,
0.01632586307823658,
-0.08148995041847229,
0.09657444059848785,
0.0011930507607758045,
-0.022137872874736786,
-0.13206413388252258,
-0.03266109153628349,
0.013981327414512634,
0.03851664438843727,
0.02949615940451622,
-0.13843947649002075,
0.025496622547507286,
-0.01059899851679802,
-0.0421975702047348,
0.0006682452512905002,
-0.002902762498706579,
-0.0034074720460921526,
-0.03479160740971565,
-0.016775619238615036,
-0.020000075921416283,
0.024737298488616943,
0.011290601454675198,
0.07543620467185974,
-0.008938577026128769,
0.02008662186563015,
0.012834415771067142,
0.05661863833665848,
-0.011549526825547218,
0.07286138087511063,
-0.05428566038608551,
0.035971786826848984,
-0.020643822848796844,
-0.06914013624191284,
0.0259998831897974,
-0.015120003372430801,
0.04229117929935455,
-0.048108652234077454,
0.05063013359904289,
-0.04304978996515274,
0.00518183084204793,
-0.051012080162763596,
0.03940451890230179,
0.044110942631959915,
0.07408224046230316,
0.1298421025276184,
-0.04975036531686783,
0.06856070458889008,
0.05003642663359642,
-0.0005975753883831203,
-0.034079037606716156,
0.048817314207553864,
-0.05796963721513748,
-0.02353511191904545,
0.009726329706609249,
0.11346077173948288,
-0.0657593309879303,
-0.09043124318122864,
-0.011145466938614845,
-0.09176857769489288,
0.01679612323641777,
-0.06531014293432236,
-0.014902655966579914,
-0.0074256048537790775,
-0.020633943378925323,
-0.0229504331946373,
-0.1102570965886116,
0.041735198348760605,
-0.038669951260089874,
-0.04408169537782669,
0.0655801072716713,
-0.05591161176562309,
0.11330448091030121,
0.007729273289442062,
-0.0027481787838041782,
0.007680163253098726,
0.06486819684505463,
0.0180074293166399,
0.0057931444607675076,
0.012894039042294025,
0.1023574024438858,
0.02530912309885025,
-0.057800550013780594,
-1.6561786027864912e-33,
-0.08566436916589737,
-0.07098943740129471,
0.05078694596886635,
0.09749219566583633,
0.009461050853133202,
-0.014050690457224846,
-0.019449777901172638,
-0.0073896595276892185,
0.01274901069700718,
-0.04899122938513756,
0.00406952528283,
0.022930501028895378,
0.030729345977306366,
0.04163403809070587,
0.014707540161907673,
-0.054784275591373444,
-0.03164699301123619,
0.08114112913608551,
-0.07117906957864761,
-0.01788030005991459,
0.06244925782084465,
-0.03392108902335167,
0.06457701325416565,
0.010897316969931126,
-0.04368741810321808,
-0.0049081165343523026,
0.004684355575591326,
-0.028979124501347542,
0.10350228101015091,
0.011385499499738216,
-0.03647744283080101,
0.06861080974340439,
-0.06204240769147873,
-0.03221321105957031,
0.029840262606739998,
0.04524288699030876,
-0.014113320037722588,
-0.01458547729998827,
0.03965066745877266,
0.025283118709921837,
-0.08140077441930771,
0.06472597271203995,
0.010215125046670437,
0.07417035102844238,
0.026978211477398872,
0.11247888952493668,
-0.05139234662055969,
-0.03845980763435364,
-0.0363558791577816,
0.0061760456301271915,
0.016318518668413162,
0.021691661328077316,
0.10389681160449982,
-0.011582450941205025,
-0.02977149188518524,
0.011110340245068073,
-0.0024073561653494835,
0.037948425859212875,
-0.007541059982031584,
-0.034661661833524704,
0.030663372948765755,
-0.034832242876291275,
-0.0140836825594306,
-0.014031599275767803,
0.007660239469259977,
-0.03781241551041603,
0.03134782239794731,
-0.061036448925733566,
0.02339010499417782,
0.025273151695728302,
0.08185803890228271,
0.07983551919460297,
-0.05695047229528427,
-0.027811842039227486,
-0.13016867637634277,
-0.04707666486501694,
0.0491686649620533,
0.0033728943672031164,
0.006990204565227032,
-0.07436830550432205,
-0.015202470123767853,
0.0036196699365973473,
-0.06754165142774582,
-0.012661688961088657,
0.0024266617838293314,
-0.03229633718729019,
0.005477507598698139,
0.058915529400110245,
-0.05078202858567238,
0.048149265348911285,
-0.10752341151237488,
0.01550286915153265,
0.0850553885102272,
0.026363402605056763,
0.03259134292602539,
-2.086477074455154e-35,
-0.13439738750457764,
-0.03271361440420151,
-0.03771582618355751,
0.07876289635896683,
-0.028869131579995155,
0.00021377240773290396,
-0.049783557653427124,
-0.036490168422460556,
0.09151974320411682,
0.05933660268783569,
-0.0561659149825573,
-0.05818862095475197,
0.1134808361530304,
0.08087620884180069,
0.0030778697691857815,
-0.08657404035329819,
0.0431072823703289,
-0.000854965066537261,
-0.03213103860616684,
0.03634796664118767,
-0.06011180579662323,
0.09353983402252197,
-0.09875069558620453,
-0.015697984024882317,
0.026688024401664734,
0.021566756069660187,
-0.030711373314261436,
0.06821881979703903,
0.059856679290533066,
-0.040827084332704544,
-0.11333795636892319,
0.023430058732628822,
-0.05027157440781593,
0.020373158156871796,
-0.02533162385225296,
0.10659781843423843,
0.10571449249982834,
-0.005253325216472149,
0.04672333225607872,
0.0008103968575596809,
-0.032403141260147095,
-0.017842022702097893,
-0.14251501858234406,
0.014898904599249363,
-0.07311304658651352,
0.05771849304437637,
-0.010780446231365204,
0.02175179496407509,
0.008913506753742695,
-0.04641032591462135,
0.014858436770737171,
0.034946639090776443,
-0.014712470583617687,
-0.008787276223301888,
-0.0202659722417593,
-0.11701101064682007,
-0.08692063391208649,
-0.08530449122190475,
-0.03182120621204376,
0.01879289001226425,
-0.05976178124547005,
-0.02476854994893074,
-0.022223899140954018,
-0.02269349806010723,
-0.0763811469078064,
-0.057993084192276,
0.016568327322602272,
0.01872212067246437,
0.010916236788034439,
-0.028584888204932213,
0.03856058418750763,
0.10113361477851868,
-0.0666218250989914,
-0.041373029351234436,
0.013102817349135876,
0.037187349051237106,
0.014756295830011368,
-0.022074269130825996,
0.0387253612279892,
-0.005094772670418024,
-0.008888084441423416,
-0.03562784567475319,
0.037011586129665375,
-0.08700390160083771,
-0.035617727786302567,
-0.012186557985842228,
0.03862200677394867,
0.014139137230813503,
0.027251509949564934,
0.024731865152716637,
-0.030154971405863762,
-0.03460093215107918,
0.03952047973871231,
-0.0012191652785986662,
-0.1117192804813385,
-4.492317984272631e-8,
-0.0026439884677529335,
-0.10172255337238312,
0.08300134539604187,
0.04320274293422699,
0.09436631947755814,
0.10074044018983841,
-0.03376482427120209,
0.0041639795526862144,
-0.00513445446267724,
0.040957216173410416,
0.010393555276095867,
0.06255165487527847,
0.055130571126937866,
0.05445239320397377,
-0.018758291378617287,
0.004908392671495676,
-0.036476630717515945,
0.006528947968035936,
-0.03381513059139252,
0.022525368258357048,
0.03821582719683647,
0.05730917304754257,
-0.03263329342007637,
-0.07257721573114395,
0.04156716912984848,
-0.014153104275465012,
-0.024424470961093903,
-0.051765259355306625,
-0.012402131222188473,
0.029705923050642014,
-0.01847020350396633,
-0.04340605065226555,
-0.10923127830028534,
0.046039629727602005,
-0.023380737751722336,
0.026138922199606895,
0.019807051867246628,
0.050466883927583694,
0.006966851186007261,
-0.07660425454378128,
0.06158645078539848,
-0.0043607354164123535,
0.015425657853484154,
0.006667211186140776,
0.0228833369910717,
-0.010387969203293324,
-0.023122278973460197,
-0.024608192965388298,
0.06089532747864723,
0.009466464631259441,
0.021810436621308327,
-0.06852318346500397,
-0.03625454753637314,
0.007628686726093292,
0.04822907969355583,
-0.036670513451099396,
-0.005206485744565725,
0.02655177377164364,
0.07750421017408371,
0.08635886013507843,
0.0022066254168748856,
0.016254007816314697,
-0.010096736252307892,
0.03177790716290474
] |
1401.6421
|
Jonathan Huang
|
Jonathan Huang, Ashish Kapoor, Carlos Guestrin
|
Riffled Independence for Efficient Inference with Partial Rankings
|
arXiv admin note: text overlap with arXiv:1202.3734
|
Journal Of Artificial Intelligence Research, Volume 44, pages
491-532, 2012
|
10.1613/jair.3543
| null |
cs.LG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Distributions over rankings are used to model data in a multitude of real
world settings such as preference analysis and political elections. Modeling
such distributions presents several computational challenges, however, due to
the factorial size of the set of rankings over an item set. Some of these
challenges are quite familiar to the artificial intelligence community, such as
how to compactly represent a distribution over a combinatorially large space,
and how to efficiently perform probabilistic inference with these
representations. With respect to ranking, however, there is the additional
challenge of what we refer to as human task complexity users are rarely willing
to provide a full ranking over a long list of candidates, instead often
preferring to provide partial ranking information. Simultaneously addressing
all of these challenges i.e., designing a compactly representable model which
is amenable to efficient inference and can be learned using partial ranking
data is a difficult task, but is necessary if we would like to scale to
problems with nontrivial size. In this paper, we show that the recently
proposed riffled independence assumptions cleanly and efficiently address each
of the above challenges. In particular, we establish a tight mathematical
connection between the concepts of riffled independence and of partial
rankings. This correspondence not only allows us to then develop efficient and
exact algorithms for performing inference tasks using riffled independence
based represen- tations with partial rankings, but somewhat surprisingly, also
shows that efficient inference is not possible for riffle independent models
(in a certain sense) with observations which do not take the form of partial
rankings. Finally, using our inference algorithm, we introduce the first method
for learning riffled independence based models from partially ranked data.
|
[
{
"created": "Thu, 23 Jan 2014 02:42:39 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Huang",
"Jonathan",
""
],
[
"Kapoor",
"Ashish",
""
],
[
"Guestrin",
"Carlos",
""
]
] |
[
-0.0513700395822525,
-0.10708167403936386,
-0.008200317621231079,
0.02226342260837555,
0.03837363421916962,
0.07043328136205673,
-0.007874621078372002,
0.016671523451805115,
0.02556321956217289,
0.010330497287213802,
-0.006171805784106255,
-0.040421146899461746,
0.082244373857975,
0.04363511875271797,
0.01733204536139965,
0.01530025340616703,
0.05730666220188141,
0.02824440598487854,
-0.06969860196113586,
0.004367537796497345,
-0.016297833994030952,
-0.002451909938827157,
-0.05762440711259842,
-0.05506370589137077,
0.06458469480276108,
-0.0531281903386116,
0.0039849416352808475,
-0.005484636873006821,
0.013067004270851612,
-0.038464732468128204,
0.039744339883327484,
-0.011311034671962261,
0.006775451358407736,
-0.008082743734121323,
0.013601846992969513,
-0.029082564637064934,
-0.08828209340572357,
-0.053223688155412674,
0.002753407694399357,
0.021258145570755005,
0.041196275502443314,
0.008651996962726116,
-0.04032285511493683,
-0.012213674373924732,
-0.017490239813923836,
0.03333573415875435,
0.012217778712511063,
0.024842455983161926,
-0.0027564908377826214,
0.05014875531196594,
-0.08348296582698822,
0.06300587207078934,
-0.021291309967637062,
0.005956335458904505,
0.028964124619960785,
-0.054811131209135056,
-0.02863365411758423,
-0.05688588321208954,
-0.052267707884311676,
-0.09910362958908081,
-0.11175666749477386,
-0.08139057457447052,
-0.00989419687539339,
-0.005165815819054842,
0.008805443532764912,
-0.05105787515640259,
-0.019916074350476265,
0.07048872113227844,
-0.016239427030086517,
0.08407372236251831,
0.013826858252286911,
0.07263973355293274,
-0.06349581480026245,
0.08817830681800842,
0.039253078401088715,
0.010573696345090866,
0.017649173736572266,
-0.04203405976295471,
0.016521135345101357,
-0.002493011299520731,
-0.09789568185806274,
0.009822679683566093,
0.034022312611341476,
0.08087312430143356,
0.10273295640945435,
-0.013228056952357292,
0.0072846789844334126,
0.002659902907907963,
-0.007136730942875147,
0.015707073733210564,
-0.09523443132638931,
0.026830101385712624,
0.1137719452381134,
0.030552009120583534,
0.06173236295580864,
0.033851560205221176,
0.08876917511224747,
-0.032255105674266815,
0.009508555755019188,
0.13252338767051697,
-0.060870274901390076,
0.028457719832658768,
-0.019100910052657127,
-0.0675809383392334,
-0.0033922912552952766,
-0.027592279016971588,
-0.05910921096801758,
0.01679583266377449,
-0.03035576641559601,
-0.1505090296268463,
-0.008220324292778969,
-0.016642777249217033,
-0.023401187732815742,
0.020410513505339622,
0.011222902685403824,
-0.08178763091564178,
0.014878577552735806,
0.06397885829210281,
0.008231139741837978,
-0.01894969493150711,
0.014136681333184242,
-0.0024365761782974005,
0.007296821568161249,
-0.012590655125677586,
0.03307538479566574,
0.041463062167167664,
0.06452042609453201,
3.104355316904902e-33,
0.02555803768336773,
0.010465244762599468,
0.07018405199050903,
0.04679953306913376,
0.019729729741811752,
0.04854762926697731,
0.027922116219997406,
0.005120372399687767,
-0.0590469092130661,
0.03575410321354866,
0.00688235042616725,
0.12139350920915604,
0.016856489703059196,
0.05527827516198158,
0.07330368459224701,
0.008882284164428711,
0.03640711307525635,
0.11789709329605103,
-0.022368893027305603,
-0.07515367120504379,
0.07380208373069763,
0.028377048671245575,
0.03738977015018463,
-0.06840923428535461,
0.04534512758255005,
-0.04974018409848213,
-0.0026069371961057186,
-0.0368628092110157,
-0.03619452193379402,
-0.015277917496860027,
-0.04613378643989563,
-0.010358525440096855,
0.011985973455011845,
-0.012083902023732662,
0.0026411518920212984,
-0.017576849088072777,
-0.014158465899527073,
-0.06656082719564438,
-0.04157701134681702,
-0.01332720648497343,
-0.001368097378872335,
0.022458618506789207,
0.0463605634868145,
0.036324191838502884,
-0.08481969684362411,
-0.05005001649260521,
-0.037200648337602615,
0.020063744857907295,
-0.0005478478851728141,
-0.012258367612957954,
0.04206033796072006,
-0.0025366777554154396,
0.09543681144714355,
-0.06619501858949661,
-0.014210433699190617,
-0.06092933192849159,
-0.029474779963493347,
0.014634599909186363,
0.017635369673371315,
-0.030120128765702248,
-0.047369591891765594,
0.037123169749975204,
-0.02551475539803505,
0.053715143352746964,
0.040738530457019806,
0.01193907205015421,
-0.117867611348629,
-0.021113155409693718,
0.15861305594444275,
-0.02849527820944786,
0.051887284964323044,
0.027464786544442177,
0.009738355875015259,
-0.06951762735843658,
-0.008602464571595192,
0.09038309007883072,
0.017645996063947678,
-0.11066187918186188,
0.02939555235207081,
-0.06770767271518707,
0.0024554922711104155,
-0.06783758103847504,
0.04790789633989334,
-0.07808145135641098,
-0.009176026098430157,
-0.034930188208818436,
0.027858251705765724,
-0.0383324958384037,
-0.0010961373336613178,
-0.012293593026697636,
-0.05093152076005936,
0.020226694643497467,
-0.059741370379924774,
-0.05178941413760185,
-0.009366322308778763,
-3.3483960256592706e-33,
-0.10037188977003098,
-0.029899682849645615,
0.0570480115711689,
0.012676024809479713,
0.078238844871521,
-0.023482829332351685,
-0.026446659117937088,
-0.01881454885005951,
-0.028909847140312195,
-0.07852834463119507,
-0.13153690099716187,
-0.013301815837621689,
0.12804999947547913,
-0.08376491814851761,
0.05533062666654587,
0.04657464101910591,
-0.045174114406108856,
-0.007236897014081478,
-0.055947691202163696,
-0.019512608647346497,
0.02391510270535946,
0.07199522852897644,
-0.10450925678014755,
0.05129971355199814,
-0.022689059376716614,
0.015999341383576393,
-0.014179150573909283,
-0.05103108659386635,
-0.02220327779650688,
0.020846471190452576,
-0.03519579395651817,
-0.1024993360042572,
-0.09677905589342117,
-0.04470868036150932,
-0.03632300719618797,
0.014688115566968918,
0.032476119697093964,
-0.011893002316355705,
-0.05387059599161148,
0.10442551970481873,
-0.06974021345376968,
-0.05275952070951462,
-0.035426728427410126,
-0.03966198489069939,
0.007705358322709799,
-0.017376866191625595,
-0.07173330336809158,
0.01655360870063305,
0.016728777438402176,
-0.004368485417217016,
-0.03558454290032387,
0.12290974706411362,
-0.04740129038691521,
0.09587492048740387,
-0.01825338415801525,
-0.03853495419025421,
-0.09518369287252426,
0.02100326679646969,
0.11181522905826569,
0.046933647245168686,
-0.003710905322805047,
-0.03212179243564606,
0.04008559137582779,
0.012650937773287296,
-0.0005814922042191029,
-0.05971921607851982,
-0.044944651424884796,
-0.047116469591856,
-0.022574052214622498,
0.009448150172829628,
-0.03212059289216995,
-0.04215908423066139,
-0.012274201959371567,
-0.024328121915459633,
-0.020731788128614426,
0.0530300997197628,
0.05785559490323067,
0.06735094636678696,
0.047096818685531616,
0.011109605431556702,
0.04250539094209671,
-0.008686686865985394,
-0.0019304619636386633,
-0.048530638217926025,
0.06730945408344269,
0.026906795799732208,
0.13198138773441315,
0.012810428626835346,
0.07065843045711517,
0.01823725923895836,
0.05019340291619301,
-0.014820298179984093,
0.01928923837840557,
0.055350180715322495,
-0.053753484040498734,
-5.044126183406661e-8,
-0.048957258462905884,
0.03898915648460388,
0.010253658518195152,
0.09475179761648178,
0.04036172851920128,
0.009770947508513927,
0.027439847588539124,
0.034279681742191315,
-0.047201987355947495,
0.030261270701885223,
0.10573090612888336,
-0.0040956661105155945,
0.0030165156349539757,
-0.029551133513450623,
0.03167061135172844,
0.10537651926279068,
-0.02333243004977703,
0.020081786438822746,
-0.036401670426130295,
0.01358855701982975,
-0.0015762116527184844,
0.0435335710644722,
-0.01593872718513012,
0.029542772099375725,
0.04526381939649582,
-0.009129272773861885,
-0.04622778668999672,
0.02905360236763954,
-0.016875477507710457,
0.0943051129579544,
-0.013396130874752998,
0.012441908940672874,
-0.021603450179100037,
-0.021114157512784004,
0.04697335511445999,
0.09805078059434891,
-0.05890113487839699,
-0.029918333515524864,
-0.04558737203478813,
-0.1439998894929886,
0.016434254124760628,
0.024090321734547615,
-0.023311499506235123,
0.09181103855371475,
0.0956076979637146,
-0.03978436440229416,
0.021600687876343727,
-0.0282424446195364,
-0.007397372275590897,
-0.029936861246824265,
-0.049760643392801285,
-0.09311728179454803,
-0.0026746694929897785,
-0.023702694103121758,
0.0644264817237854,
0.08658991008996964,
0.0394430011510849,
0.013146860525012016,
0.017994066700339317,
0.023974016308784485,
0.09460131078958511,
-0.001197738223709166,
-0.0741652175784111,
0.04755052551627159
] | null | null | null | null | null | null | null |
[
-0.0513700395822525,
-0.10708167403936386,
-0.008200317621231079,
0.02226342260837555,
0.03837363421916962,
0.07043328136205673,
-0.007874621078372002,
0.016671523451805115,
0.02556321956217289,
0.010330497287213802,
-0.006171805784106255,
-0.040421146899461746,
0.082244373857975,
0.04363511875271797,
0.01733204536139965,
0.01530025340616703,
0.05730666220188141,
0.02824440598487854,
-0.06969860196113586,
0.004367537796497345,
-0.016297833994030952,
-0.002451909938827157,
-0.05762440711259842,
-0.05506370589137077,
0.06458469480276108,
-0.0531281903386116,
0.0039849416352808475,
-0.005484636873006821,
0.013067004270851612,
-0.038464732468128204,
0.039744339883327484,
-0.011311034671962261,
0.006775451358407736,
-0.008082743734121323,
0.013601846992969513,
-0.029082564637064934,
-0.08828209340572357,
-0.053223688155412674,
0.002753407694399357,
0.021258145570755005,
0.041196275502443314,
0.008651996962726116,
-0.04032285511493683,
-0.012213674373924732,
-0.017490239813923836,
0.03333573415875435,
0.012217778712511063,
0.024842455983161926,
-0.0027564908377826214,
0.05014875531196594,
-0.08348296582698822,
0.06300587207078934,
-0.021291309967637062,
0.005956335458904505,
0.028964124619960785,
-0.054811131209135056,
-0.02863365411758423,
-0.05688588321208954,
-0.052267707884311676,
-0.09910362958908081,
-0.11175666749477386,
-0.08139057457447052,
-0.00989419687539339,
-0.005165815819054842,
0.008805443532764912,
-0.05105787515640259,
-0.019916074350476265,
0.07048872113227844,
-0.016239427030086517,
0.08407372236251831,
0.013826858252286911,
0.07263973355293274,
-0.06349581480026245,
0.08817830681800842,
0.039253078401088715,
0.010573696345090866,
0.017649173736572266,
-0.04203405976295471,
0.016521135345101357,
-0.002493011299520731,
-0.09789568185806274,
0.009822679683566093,
0.034022312611341476,
0.08087312430143356,
0.10273295640945435,
-0.013228056952357292,
0.0072846789844334126,
0.002659902907907963,
-0.007136730942875147,
0.015707073733210564,
-0.09523443132638931,
0.026830101385712624,
0.1137719452381134,
0.030552009120583534,
0.06173236295580864,
0.033851560205221176,
0.08876917511224747,
-0.032255105674266815,
0.009508555755019188,
0.13252338767051697,
-0.060870274901390076,
0.028457719832658768,
-0.019100910052657127,
-0.0675809383392334,
-0.0033922912552952766,
-0.027592279016971588,
-0.05910921096801758,
0.01679583266377449,
-0.03035576641559601,
-0.1505090296268463,
-0.008220324292778969,
-0.016642777249217033,
-0.023401187732815742,
0.020410513505339622,
0.011222902685403824,
-0.08178763091564178,
0.014878577552735806,
0.06397885829210281,
0.008231139741837978,
-0.01894969493150711,
0.014136681333184242,
-0.0024365761782974005,
0.007296821568161249,
-0.012590655125677586,
0.03307538479566574,
0.041463062167167664,
0.06452042609453201,
3.104355316904902e-33,
0.02555803768336773,
0.010465244762599468,
0.07018405199050903,
0.04679953306913376,
0.019729729741811752,
0.04854762926697731,
0.027922116219997406,
0.005120372399687767,
-0.0590469092130661,
0.03575410321354866,
0.00688235042616725,
0.12139350920915604,
0.016856489703059196,
0.05527827516198158,
0.07330368459224701,
0.008882284164428711,
0.03640711307525635,
0.11789709329605103,
-0.022368893027305603,
-0.07515367120504379,
0.07380208373069763,
0.028377048671245575,
0.03738977015018463,
-0.06840923428535461,
0.04534512758255005,
-0.04974018409848213,
-0.0026069371961057186,
-0.0368628092110157,
-0.03619452193379402,
-0.015277917496860027,
-0.04613378643989563,
-0.010358525440096855,
0.011985973455011845,
-0.012083902023732662,
0.0026411518920212984,
-0.017576849088072777,
-0.014158465899527073,
-0.06656082719564438,
-0.04157701134681702,
-0.01332720648497343,
-0.001368097378872335,
0.022458618506789207,
0.0463605634868145,
0.036324191838502884,
-0.08481969684362411,
-0.05005001649260521,
-0.037200648337602615,
0.020063744857907295,
-0.0005478478851728141,
-0.012258367612957954,
0.04206033796072006,
-0.0025366777554154396,
0.09543681144714355,
-0.06619501858949661,
-0.014210433699190617,
-0.06092933192849159,
-0.029474779963493347,
0.014634599909186363,
0.017635369673371315,
-0.030120128765702248,
-0.047369591891765594,
0.037123169749975204,
-0.02551475539803505,
0.053715143352746964,
0.040738530457019806,
0.01193907205015421,
-0.117867611348629,
-0.021113155409693718,
0.15861305594444275,
-0.02849527820944786,
0.051887284964323044,
0.027464786544442177,
0.009738355875015259,
-0.06951762735843658,
-0.008602464571595192,
0.09038309007883072,
0.017645996063947678,
-0.11066187918186188,
0.02939555235207081,
-0.06770767271518707,
0.0024554922711104155,
-0.06783758103847504,
0.04790789633989334,
-0.07808145135641098,
-0.009176026098430157,
-0.034930188208818436,
0.027858251705765724,
-0.0383324958384037,
-0.0010961373336613178,
-0.012293593026697636,
-0.05093152076005936,
0.020226694643497467,
-0.059741370379924774,
-0.05178941413760185,
-0.009366322308778763,
-3.3483960256592706e-33,
-0.10037188977003098,
-0.029899682849645615,
0.0570480115711689,
0.012676024809479713,
0.078238844871521,
-0.023482829332351685,
-0.026446659117937088,
-0.01881454885005951,
-0.028909847140312195,
-0.07852834463119507,
-0.13153690099716187,
-0.013301815837621689,
0.12804999947547913,
-0.08376491814851761,
0.05533062666654587,
0.04657464101910591,
-0.045174114406108856,
-0.007236897014081478,
-0.055947691202163696,
-0.019512608647346497,
0.02391510270535946,
0.07199522852897644,
-0.10450925678014755,
0.05129971355199814,
-0.022689059376716614,
0.015999341383576393,
-0.014179150573909283,
-0.05103108659386635,
-0.02220327779650688,
0.020846471190452576,
-0.03519579395651817,
-0.1024993360042572,
-0.09677905589342117,
-0.04470868036150932,
-0.03632300719618797,
0.014688115566968918,
0.032476119697093964,
-0.011893002316355705,
-0.05387059599161148,
0.10442551970481873,
-0.06974021345376968,
-0.05275952070951462,
-0.035426728427410126,
-0.03966198489069939,
0.007705358322709799,
-0.017376866191625595,
-0.07173330336809158,
0.01655360870063305,
0.016728777438402176,
-0.004368485417217016,
-0.03558454290032387,
0.12290974706411362,
-0.04740129038691521,
0.09587492048740387,
-0.01825338415801525,
-0.03853495419025421,
-0.09518369287252426,
0.02100326679646969,
0.11181522905826569,
0.046933647245168686,
-0.003710905322805047,
-0.03212179243564606,
0.04008559137582779,
0.012650937773287296,
-0.0005814922042191029,
-0.05971921607851982,
-0.044944651424884796,
-0.047116469591856,
-0.022574052214622498,
0.009448150172829628,
-0.03212059289216995,
-0.04215908423066139,
-0.012274201959371567,
-0.024328121915459633,
-0.020731788128614426,
0.0530300997197628,
0.05785559490323067,
0.06735094636678696,
0.047096818685531616,
0.011109605431556702,
0.04250539094209671,
-0.008686686865985394,
-0.0019304619636386633,
-0.048530638217926025,
0.06730945408344269,
0.026906795799732208,
0.13198138773441315,
0.012810428626835346,
0.07065843045711517,
0.01823725923895836,
0.05019340291619301,
-0.014820298179984093,
0.01928923837840557,
0.055350180715322495,
-0.053753484040498734,
-5.044126183406661e-8,
-0.048957258462905884,
0.03898915648460388,
0.010253658518195152,
0.09475179761648178,
0.04036172851920128,
0.009770947508513927,
0.027439847588539124,
0.034279681742191315,
-0.047201987355947495,
0.030261270701885223,
0.10573090612888336,
-0.0040956661105155945,
0.0030165156349539757,
-0.029551133513450623,
0.03167061135172844,
0.10537651926279068,
-0.02333243004977703,
0.020081786438822746,
-0.036401670426130295,
0.01358855701982975,
-0.0015762116527184844,
0.0435335710644722,
-0.01593872718513012,
0.029542772099375725,
0.04526381939649582,
-0.009129272773861885,
-0.04622778668999672,
0.02905360236763954,
-0.016875477507710457,
0.0943051129579544,
-0.013396130874752998,
0.012441908940672874,
-0.021603450179100037,
-0.021114157512784004,
0.04697335511445999,
0.09805078059434891,
-0.05890113487839699,
-0.029918333515524864,
-0.04558737203478813,
-0.1439998894929886,
0.016434254124760628,
0.024090321734547615,
-0.023311499506235123,
0.09181103855371475,
0.0956076979637146,
-0.03978436440229416,
0.021600687876343727,
-0.0282424446195364,
-0.007397372275590897,
-0.029936861246824265,
-0.049760643392801285,
-0.09311728179454803,
-0.0026746694929897785,
-0.023702694103121758,
0.0644264817237854,
0.08658991008996964,
0.0394430011510849,
0.013146860525012016,
0.017994066700339317,
0.023974016308784485,
0.09460131078958511,
-0.001197738223709166,
-0.0741652175784111,
0.04755052551627159
] |
1401.6422
|
Christina Sauper
|
Christina Sauper, Regina Barzilay
|
Automatic Aggregation by Joint Modeling of Aspects and Values
| null |
Journal Of Artificial Intelligence Research, Volume 46, pages
89-127, 2013
|
10.1613/jair.3647
| null |
cs.CL
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a model for aggregation of product review snippets by joint aspect
identification and sentiment analysis. Our model simultaneously identifies an
underlying set of ratable aspects presented in the reviews of a product (e.g.,
sushi and miso for a Japanese restaurant) and determines the corresponding
sentiment of each aspect. This approach directly enables discovery of
highly-rated or inconsistent aspects of a product. Our generative model admits
an efficient variational mean-field inference algorithm. It is also easily
extensible, and we describe several modifications and their effects on model
structure and inference. We test our model on two tasks, joint aspect
identification and sentiment analysis on a set of Yelp reviews and aspect
identification alone on a set of medical summaries. We evaluate the performance
of the model on aspect identification, sentiment analysis, and per-word
labeling accuracy. We demonstrate that our model outperforms applicable
baselines by a considerable margin, yielding up to 32% relative error reduction
on aspect identification and up to 20% relative error reduction on sentiment
analysis.
|
[
{
"created": "Thu, 23 Jan 2014 02:48:07 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Sauper",
"Christina",
""
],
[
"Barzilay",
"Regina",
""
]
] |
[
-0.054976917803287506,
0.020445356145501137,
0.024624450132250786,
0.05120930075645447,
0.03608166053891182,
0.06341301649808884,
0.04729948192834854,
0.0027083430904895067,
0.04770758002996445,
-0.08182282000780106,
-0.03623461350798607,
0.00032018445199355483,
0.026301587000489235,
0.05030571296811104,
0.01227931585162878,
0.024234186857938766,
0.10569220036268234,
0.026472698897123337,
-0.06341782212257385,
-0.012754959985613823,
0.006124077830463648,
0.1085670217871666,
0.05354159697890282,
0.02156103402376175,
0.010489038191735744,
0.00648517208173871,
-0.014006569981575012,
0.014456938952207565,
-0.0406009778380394,
-0.0018893826054409146,
0.025842787697911263,
0.12956225872039795,
0.001911885803565383,
0.04444526135921478,
-0.03788842260837555,
0.042918942868709564,
0.013852542266249657,
0.03155067563056946,
0.022818947210907936,
-0.017965607345104218,
-0.00955449789762497,
-0.024592768400907516,
-0.05590379610657692,
0.10249915719032288,
0.09685856848955154,
-0.0067667281255126,
-0.04225612431764603,
-0.0219880361109972,
0.05863519757986069,
0.057735953480005264,
-0.07024646550416946,
0.0250625591725111,
0.034676797688007355,
0.03848613426089287,
-0.02906598150730133,
-0.012070711702108383,
-0.01073963101953268,
-0.02086792141199112,
0.013069366104900837,
0.0007488896953873336,
0.04429905116558075,
-0.08984053879976273,
0.0027817271184176207,
-0.05912582948803902,
0.006179163232445717,
-0.10454030334949493,
0.0025946549139916897,
-0.002822263864800334,
-0.14370961487293243,
0.0346488431096077,
-0.001243126462213695,
0.050508059561252594,
0.03732050582766533,
0.0854044109582901,
-0.03651336953043938,
0.07151085138320923,
0.04792119935154915,
-0.04729379341006279,
0.06444140523672104,
-0.04020949453115463,
-0.06926198303699493,
-0.007386702112853527,
0.015518139116466045,
0.014897451736032963,
0.10772144049406052,
-0.029342159628868103,
0.057598087936639786,
0.06318044662475586,
-0.06791650503873825,
0.006882292218506336,
-0.05482745170593262,
-0.059156764298677444,
0.10658060759305954,
-0.0670880600810051,
0.10600625723600388,
0.01498747244477272,
-0.0664668157696724,
-0.1219148114323616,
0.07157701253890991,
0.08095476776361465,
0.010485276579856873,
0.07638595253229141,
0.060299936681985855,
-0.11798248440027237,
-0.020726626738905907,
-0.01037146057933569,
0.014954754151403904,
0.055446553975343704,
0.05874798074364662,
-0.07735278457403183,
-0.04094211757183075,
0.044595226645469666,
0.000557099876459688,
0.014418981969356537,
0.03233689069747925,
-0.06730905175209045,
0.1284324675798416,
-0.012819847092032433,
0.06732498109340668,
0.0018876538379117846,
0.023098133504390717,
0.006433689966797829,
0.04501970112323761,
0.008635040372610092,
0.023694798350334167,
-0.0013707687612622976,
0.03341534733772278,
-1.0479446730569266e-33,
0.02521015703678131,
0.0048047201707959175,
0.013932869769632816,
0.0466303750872612,
-0.011747370474040508,
0.004005272872745991,
-0.07431422919034958,
-0.03117022104561329,
-0.04626484587788582,
0.025970278307795525,
-0.004710082896053791,
0.008103437721729279,
-0.05426700785756111,
0.020091600716114044,
0.06326469779014587,
-0.01621692255139351,
-0.044979773461818695,
0.04425705224275589,
0.00785941444337368,
-0.06493254750967026,
-0.018187353387475014,
-0.003248642198741436,
0.04207645729184151,
0.013087528757750988,
-0.06303634494543076,
-0.08808217942714691,
0.07199811190366745,
-0.04169289395213127,
-0.08216941356658936,
-0.009583269245922565,
-0.09205767512321472,
0.0000034933204915432725,
0.060307931154966354,
-0.05700176954269409,
-0.012596942484378815,
-0.04633122310042381,
-0.0699658915400505,
0.02442639321088791,
0.01111646182835102,
-0.02692282199859619,
-0.05900496616959572,
0.06369614601135254,
-0.03178413212299347,
-0.044187892228364944,
-0.10517729073762894,
0.0028130083810538054,
-0.07294183224439621,
0.02900676056742668,
0.039507292211055756,
0.00783633254468441,
-0.011632849462330341,
-0.02302325889468193,
0.09087178111076355,
-0.026166489347815514,
-0.016479866579174995,
0.0036253896541893482,
-0.02672097086906433,
-0.005850339774042368,
0.016285991296172142,
-0.047061990946531296,
-0.026637056842446327,
0.09297113120555878,
-0.002183560049161315,
-0.1234046146273613,
-0.02806275151669979,
0.0450027734041214,
-0.003920403309166431,
0.05580165237188339,
-0.03203604370355606,
0.04256710782647133,
0.007017566356807947,
0.051783811300992966,
0.011359982192516327,
-0.02012244053184986,
-0.0025383043102920055,
-0.023142384365200996,
0.020291823893785477,
-0.04516109079122543,
-0.006884763482958078,
0.031043007969856262,
-0.009638129733502865,
-0.02289775386452675,
0.062482405453920364,
-0.07439670711755753,
-0.051153261214494705,
-0.011695819906890392,
0.05813690274953842,
-0.05328110605478287,
-0.0647786408662796,
-0.018022559583187103,
-0.07690893113613129,
0.07784465700387955,
0.012798724696040154,
0.020257363095879555,
0.04366157948970795,
7.912946751735772e-34,
-0.1515069603919983,
-0.06554917246103287,
-0.012873108498752117,
0.006570438854396343,
-0.015820862725377083,
-0.04030400887131691,
-0.07483872026205063,
0.028616858646273613,
0.018564816564321518,
-0.029854759573936462,
-0.05782492831349373,
-0.112050361931324,
-0.031967420130968094,
-0.024777498096227646,
0.017486661672592163,
0.07108394801616669,
-0.041185155510902405,
0.03772980719804764,
0.0455547533929348,
0.0446103997528553,
0.046657972037792206,
0.08336786925792694,
-0.000019242672351538204,
0.05579680576920509,
-0.024556227028369904,
0.060907237231731415,
0.05367886647582054,
0.03592255339026451,
-0.03103937767446041,
-0.06189565360546112,
0.009221693500876427,
-0.06324583292007446,
-0.022756485268473625,
0.006666339002549648,
-0.07154010236263275,
-0.07520995289087296,
-0.007882583886384964,
-0.09022599458694458,
0.03565562516450882,
0.019725395366549492,
0.061749763786792755,
-0.00035804646904580295,
-0.0631476566195488,
0.04212149232625961,
-0.032175641506910324,
-0.08861502259969711,
-0.009025394916534424,
-0.0027887988835573196,
-0.027376074343919754,
0.016978003084659576,
-0.0850486159324646,
0.05220421776175499,
-0.11351203173398972,
0.014923958107829094,
-0.0034033474512398243,
-0.08627539873123169,
-0.018518345430493355,
-0.08607101440429688,
0.01092563197016716,
-0.048370640724897385,
-0.042739760130643845,
0.05263315141201019,
0.02345651015639305,
-0.02298167534172535,
0.0684812068939209,
-0.10549124330282211,
0.0902925431728363,
-0.04659464582800865,
-0.02619919553399086,
0.010320297442376614,
0.062119435518980026,
0.05669257789850235,
-0.024107053875923157,
0.03030012547969818,
0.03672149032354355,
-0.009112774394452572,
0.061462704092264175,
-0.00987986195832491,
-0.0023123850114643574,
-0.09497855603694916,
0.08838143199682236,
-0.040876828134059906,
0.05252455547451973,
-0.03075028583407402,
0.014023969881236553,
0.0007406222284771502,
0.021807895973324776,
0.10364214330911636,
0.01323585957288742,
-0.011332904919981956,
-0.00954469945281744,
-0.051433585584163666,
0.00010913817095570266,
0.05307022109627724,
0.06052159145474434,
-3.8394524892737536e-8,
-0.008040493354201317,
-0.022323014214634895,
-0.08273551613092422,
0.05024271830916405,
-0.01782553270459175,
-0.029125811532139778,
-0.000330469076288864,
0.07952819764614105,
0.016471225768327713,
-0.05728783458471298,
0.05047092214226723,
0.11337581276893616,
-0.13156117498874664,
-0.06977097690105438,
-0.020306982100009918,
0.01988450065255165,
0.014522531069815159,
0.048445772379636765,
0.01272299513220787,
0.03244007006287575,
0.024090640246868134,
0.06513774394989014,
0.032611094415187836,
-0.05498143658041954,
0.0331307053565979,
-0.04534144699573517,
-0.028950795531272888,
0.047239892184734344,
-0.0013306272448971868,
-0.04077472165226936,
0.030090026557445526,
0.012330485507845879,
-0.08995600044727325,
0.03614310920238495,
0.020095812156796455,
0.08513505011796951,
0.08482659608125687,
0.008024336770176888,
-0.058384835720062256,
-0.049387600272893906,
-0.0030145407654345036,
0.0069200885482132435,
-0.07945265620946884,
0.018175363540649414,
-0.010227348655462265,
-0.004504856653511524,
-0.0020791771821677685,
-0.04093775153160095,
0.01623067446053028,
0.04685903340578079,
0.05306125432252884,
-0.04173417389392853,
0.062257442623376846,
-0.0003844820021186024,
-0.002179787727072835,
0.04052864760160446,
0.0013956802431493998,
-0.09421809017658234,
0.08462318778038025,
0.03987167403101921,
0.07773828506469727,
0.059765610843896866,
0.005539656616747379,
0.035761646926403046
] | null | null | null | null | null | null | null |
[
-0.054976917803287506,
0.020445356145501137,
0.024624450132250786,
0.05120930075645447,
0.03608166053891182,
0.06341301649808884,
0.04729948192834854,
0.0027083430904895067,
0.04770758002996445,
-0.08182282000780106,
-0.03623461350798607,
0.00032018445199355483,
0.026301587000489235,
0.05030571296811104,
0.01227931585162878,
0.024234186857938766,
0.10569220036268234,
0.026472698897123337,
-0.06341782212257385,
-0.012754959985613823,
0.006124077830463648,
0.1085670217871666,
0.05354159697890282,
0.02156103402376175,
0.010489038191735744,
0.00648517208173871,
-0.014006569981575012,
0.014456938952207565,
-0.0406009778380394,
-0.0018893826054409146,
0.025842787697911263,
0.12956225872039795,
0.001911885803565383,
0.04444526135921478,
-0.03788842260837555,
0.042918942868709564,
0.013852542266249657,
0.03155067563056946,
0.022818947210907936,
-0.017965607345104218,
-0.00955449789762497,
-0.024592768400907516,
-0.05590379610657692,
0.10249915719032288,
0.09685856848955154,
-0.0067667281255126,
-0.04225612431764603,
-0.0219880361109972,
0.05863519757986069,
0.057735953480005264,
-0.07024646550416946,
0.0250625591725111,
0.034676797688007355,
0.03848613426089287,
-0.02906598150730133,
-0.012070711702108383,
-0.01073963101953268,
-0.02086792141199112,
0.013069366104900837,
0.0007488896953873336,
0.04429905116558075,
-0.08984053879976273,
0.0027817271184176207,
-0.05912582948803902,
0.006179163232445717,
-0.10454030334949493,
0.0025946549139916897,
-0.002822263864800334,
-0.14370961487293243,
0.0346488431096077,
-0.001243126462213695,
0.050508059561252594,
0.03732050582766533,
0.0854044109582901,
-0.03651336953043938,
0.07151085138320923,
0.04792119935154915,
-0.04729379341006279,
0.06444140523672104,
-0.04020949453115463,
-0.06926198303699493,
-0.007386702112853527,
0.015518139116466045,
0.014897451736032963,
0.10772144049406052,
-0.029342159628868103,
0.057598087936639786,
0.06318044662475586,
-0.06791650503873825,
0.006882292218506336,
-0.05482745170593262,
-0.059156764298677444,
0.10658060759305954,
-0.0670880600810051,
0.10600625723600388,
0.01498747244477272,
-0.0664668157696724,
-0.1219148114323616,
0.07157701253890991,
0.08095476776361465,
0.010485276579856873,
0.07638595253229141,
0.060299936681985855,
-0.11798248440027237,
-0.020726626738905907,
-0.01037146057933569,
0.014954754151403904,
0.055446553975343704,
0.05874798074364662,
-0.07735278457403183,
-0.04094211757183075,
0.044595226645469666,
0.000557099876459688,
0.014418981969356537,
0.03233689069747925,
-0.06730905175209045,
0.1284324675798416,
-0.012819847092032433,
0.06732498109340668,
0.0018876538379117846,
0.023098133504390717,
0.006433689966797829,
0.04501970112323761,
0.008635040372610092,
0.023694798350334167,
-0.0013707687612622976,
0.03341534733772278,
-1.0479446730569266e-33,
0.02521015703678131,
0.0048047201707959175,
0.013932869769632816,
0.0466303750872612,
-0.011747370474040508,
0.004005272872745991,
-0.07431422919034958,
-0.03117022104561329,
-0.04626484587788582,
0.025970278307795525,
-0.004710082896053791,
0.008103437721729279,
-0.05426700785756111,
0.020091600716114044,
0.06326469779014587,
-0.01621692255139351,
-0.044979773461818695,
0.04425705224275589,
0.00785941444337368,
-0.06493254750967026,
-0.018187353387475014,
-0.003248642198741436,
0.04207645729184151,
0.013087528757750988,
-0.06303634494543076,
-0.08808217942714691,
0.07199811190366745,
-0.04169289395213127,
-0.08216941356658936,
-0.009583269245922565,
-0.09205767512321472,
0.0000034933204915432725,
0.060307931154966354,
-0.05700176954269409,
-0.012596942484378815,
-0.04633122310042381,
-0.0699658915400505,
0.02442639321088791,
0.01111646182835102,
-0.02692282199859619,
-0.05900496616959572,
0.06369614601135254,
-0.03178413212299347,
-0.044187892228364944,
-0.10517729073762894,
0.0028130083810538054,
-0.07294183224439621,
0.02900676056742668,
0.039507292211055756,
0.00783633254468441,
-0.011632849462330341,
-0.02302325889468193,
0.09087178111076355,
-0.026166489347815514,
-0.016479866579174995,
0.0036253896541893482,
-0.02672097086906433,
-0.005850339774042368,
0.016285991296172142,
-0.047061990946531296,
-0.026637056842446327,
0.09297113120555878,
-0.002183560049161315,
-0.1234046146273613,
-0.02806275151669979,
0.0450027734041214,
-0.003920403309166431,
0.05580165237188339,
-0.03203604370355606,
0.04256710782647133,
0.007017566356807947,
0.051783811300992966,
0.011359982192516327,
-0.02012244053184986,
-0.0025383043102920055,
-0.023142384365200996,
0.020291823893785477,
-0.04516109079122543,
-0.006884763482958078,
0.031043007969856262,
-0.009638129733502865,
-0.02289775386452675,
0.062482405453920364,
-0.07439670711755753,
-0.051153261214494705,
-0.011695819906890392,
0.05813690274953842,
-0.05328110605478287,
-0.0647786408662796,
-0.018022559583187103,
-0.07690893113613129,
0.07784465700387955,
0.012798724696040154,
0.020257363095879555,
0.04366157948970795,
7.912946751735772e-34,
-0.1515069603919983,
-0.06554917246103287,
-0.012873108498752117,
0.006570438854396343,
-0.015820862725377083,
-0.04030400887131691,
-0.07483872026205063,
0.028616858646273613,
0.018564816564321518,
-0.029854759573936462,
-0.05782492831349373,
-0.112050361931324,
-0.031967420130968094,
-0.024777498096227646,
0.017486661672592163,
0.07108394801616669,
-0.041185155510902405,
0.03772980719804764,
0.0455547533929348,
0.0446103997528553,
0.046657972037792206,
0.08336786925792694,
-0.000019242672351538204,
0.05579680576920509,
-0.024556227028369904,
0.060907237231731415,
0.05367886647582054,
0.03592255339026451,
-0.03103937767446041,
-0.06189565360546112,
0.009221693500876427,
-0.06324583292007446,
-0.022756485268473625,
0.006666339002549648,
-0.07154010236263275,
-0.07520995289087296,
-0.007882583886384964,
-0.09022599458694458,
0.03565562516450882,
0.019725395366549492,
0.061749763786792755,
-0.00035804646904580295,
-0.0631476566195488,
0.04212149232625961,
-0.032175641506910324,
-0.08861502259969711,
-0.009025394916534424,
-0.0027887988835573196,
-0.027376074343919754,
0.016978003084659576,
-0.0850486159324646,
0.05220421776175499,
-0.11351203173398972,
0.014923958107829094,
-0.0034033474512398243,
-0.08627539873123169,
-0.018518345430493355,
-0.08607101440429688,
0.01092563197016716,
-0.048370640724897385,
-0.042739760130643845,
0.05263315141201019,
0.02345651015639305,
-0.02298167534172535,
0.0684812068939209,
-0.10549124330282211,
0.0902925431728363,
-0.04659464582800865,
-0.02619919553399086,
0.010320297442376614,
0.062119435518980026,
0.05669257789850235,
-0.024107053875923157,
0.03030012547969818,
0.03672149032354355,
-0.009112774394452572,
0.061462704092264175,
-0.00987986195832491,
-0.0023123850114643574,
-0.09497855603694916,
0.08838143199682236,
-0.040876828134059906,
0.05252455547451973,
-0.03075028583407402,
0.014023969881236553,
0.0007406222284771502,
0.021807895973324776,
0.10364214330911636,
0.01323585957288742,
-0.011332904919981956,
-0.00954469945281744,
-0.051433585584163666,
0.00010913817095570266,
0.05307022109627724,
0.06052159145474434,
-3.8394524892737536e-8,
-0.008040493354201317,
-0.022323014214634895,
-0.08273551613092422,
0.05024271830916405,
-0.01782553270459175,
-0.029125811532139778,
-0.000330469076288864,
0.07952819764614105,
0.016471225768327713,
-0.05728783458471298,
0.05047092214226723,
0.11337581276893616,
-0.13156117498874664,
-0.06977097690105438,
-0.020306982100009918,
0.01988450065255165,
0.014522531069815159,
0.048445772379636765,
0.01272299513220787,
0.03244007006287575,
0.024090640246868134,
0.06513774394989014,
0.032611094415187836,
-0.05498143658041954,
0.0331307053565979,
-0.04534144699573517,
-0.028950795531272888,
0.047239892184734344,
-0.0013306272448971868,
-0.04077472165226936,
0.030090026557445526,
0.012330485507845879,
-0.08995600044727325,
0.03614310920238495,
0.020095812156796455,
0.08513505011796951,
0.08482659608125687,
0.008024336770176888,
-0.058384835720062256,
-0.049387600272893906,
-0.0030145407654345036,
0.0069200885482132435,
-0.07945265620946884,
0.018175363540649414,
-0.010227348655462265,
-0.004504856653511524,
-0.0020791771821677685,
-0.04093775153160095,
0.01623067446053028,
0.04685903340578079,
0.05306125432252884,
-0.04173417389392853,
0.062257442623376846,
-0.0003844820021186024,
-0.002179787727072835,
0.04052864760160446,
0.0013956802431493998,
-0.09421809017658234,
0.08462318778038025,
0.03987167403101921,
0.07773828506469727,
0.059765610843896866,
0.005539656616747379,
0.035761646926403046
] |
1401.6423
|
Liu Hanlin
|
Hanlin Liu
|
A Algorithm for the Hamilton Circuit Problem
|
In this article, we try to find a algorithm for the hamilton circuit
problem. Unfortunately, it can not cover all cases of hamilton circuit
problem. So, it is a failed attempt
| null | null | null |
cs.DS
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We proposed an algorithm that covers some cases of Hamilton Circuit Problem.
|
[
{
"created": "Thu, 23 Jan 2014 12:56:05 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jan 2014 04:35:33 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Feb 2014 16:59:58 GMT",
"version": "v3"
},
{
"created": "Sat, 22 Feb 2014 16:47:04 GMT",
"version": "v4"
},
{
"created": "Mon, 10 Mar 2014 14:27:54 GMT",
"version": "v5"
},
{
"created": "Tue, 11 Mar 2014 05:34:46 GMT",
"version": "v6"
},
{
"created": "Wed, 16 Apr 2014 11:12:47 GMT",
"version": "v7"
},
{
"created": "Wed, 31 Oct 2018 10:45:21 GMT",
"version": "v8"
}
] |
2018-11-01
|
[
[
"Liu",
"Hanlin",
""
]
] |
[
-0.07368689030408859,
0.11974106729030609,
0.03473256528377533,
0.008613880723714828,
-0.04752326384186745,
0.022599074989557266,
0.014940494671463966,
-0.01250667218118906,
-0.07260332256555557,
0.0016539872158318758,
-0.026685277000069618,
-0.01423831656575203,
0.052904970943927765,
0.040161922574043274,
-0.02521485649049282,
0.07065747678279877,
-0.040156785398721695,
0.044548068195581436,
0.06422339379787445,
-0.022129109129309654,
-0.028409451246261597,
-0.008414007723331451,
-0.053108975291252136,
0.015490288846194744,
0.010000974871218204,
0.06729420274496078,
0.08740364760160446,
-0.012156243436038494,
-0.0012581325136125088,
-0.025670479983091354,
-0.0386999249458313,
-0.0736900269985199,
0.02031489834189415,
-0.04320681467652321,
-0.05233710631728172,
-0.003541656769812107,
-0.06646471470594406,
0.054174765944480896,
0.02230987884104252,
0.01971200853586197,
-0.006367103662341833,
0.07448168098926544,
0.03833404555916786,
-0.004301745444536209,
0.09510315209627151,
0.010160861536860466,
-0.030575735494494438,
0.03562328219413757,
0.00473291939124465,
-0.0794859305024147,
-0.005028807558119297,
0.004121424630284309,
0.01097223162651062,
0.025726107880473137,
-0.02075178176164627,
-0.11084865033626556,
-0.006722947582602501,
-0.05478296056389809,
0.006348324008285999,
0.05062456429004669,
0.08817106485366821,
-0.08348549157381058,
0.0005783954402431846,
-0.018808001652359962,
0.031314294785261154,
0.04137842729687691,
0.012967749498784542,
-0.026706798002123833,
-0.05425954610109329,
0.0669277161359787,
0.007166541647166014,
0.011903764680027962,
-0.0014626496704295278,
-0.09147540479898453,
0.038895756006240845,
0.03477974981069565,
0.03214261308312416,
0.019075248390436172,
-0.09218514710664749,
0.08282449841499329,
-0.02088264934718609,
-0.09423410892486572,
-0.017639171332120895,
-0.01056718546897173,
0.007680716924369335,
-0.0014590596547350287,
-0.1150989904999733,
-0.03872686251997948,
0.04426409676671028,
-0.03691496700048447,
-0.07314051687717438,
-0.04343697801232338,
0.010546714998781681,
-0.05839455500245094,
-0.032561514526605606,
-0.028568070381879807,
0.07326959073543549,
0.06492339819669724,
0.04651106894016266,
0.0685669481754303,
0.031137313693761826,
-0.041681572794914246,
-0.005477671977132559,
-0.00011053415801143274,
0.03476753830909729,
0.0917053148150444,
0.004427463747560978,
0.02390987239778042,
-0.05584173649549484,
-0.040485404431819916,
0.028460806235671043,
0.032632824033498764,
-0.031273338943719864,
0.03350374102592468,
0.03061184659600258,
-0.09862939268350601,
0.06446640938520432,
0.08815693110227585,
0.05050986260175705,
0.08278738707304001,
-0.012191559188067913,
0.043447982519865036,
0.00547410873696208,
0.025529587641358376,
0.030554980039596558,
-0.035851527005434036,
-0.013591834343969822,
-3.620069667865594e-33,
-0.03356866538524628,
0.019325627014040947,
0.09083680063486099,
-0.007184293121099472,
0.12116769701242447,
-0.01627351902425289,
-0.017525015398859978,
-0.020863743498921394,
0.035532236099243164,
-0.02826293371617794,
-0.04153994098305702,
0.006337333936244249,
0.03254326805472374,
-0.07343289256095886,
0.04056189954280853,
-0.09001483768224716,
-0.0480223186314106,
-0.03406958654522896,
0.023803548887372017,
-0.07709770649671555,
0.062039971351623535,
-0.08175031840801239,
0.0302507895976305,
0.05280520021915436,
-0.050441447645425797,
-0.02687893994152546,
0.05183081701397896,
-0.07684630900621414,
-0.022694526240229607,
-0.03546507656574249,
0.015366367995738983,
0.04491287097334862,
-0.02217603102326393,
0.12052050977945328,
-0.0010818577138707042,
0.05397948995232582,
0.04853162541985512,
0.013536632061004639,
0.07088632881641388,
-0.000294177676551044,
-0.07247253507375717,
0.014737614430487156,
0.03166799992322922,
-0.04337290674448013,
-0.03890092298388481,
-0.06624520570039749,
-0.00970260426402092,
0.07891619205474854,
0.05190939083695412,
0.09372254461050034,
-0.07449921220541,
-0.07309293746948242,
-0.026203861460089684,
0.009873619303107262,
-0.0319557748734951,
-0.05265849456191063,
-0.02265763096511364,
0.035763341933488846,
0.04564185440540314,
0.1207246482372284,
0.08575554937124252,
-0.001639874535612762,
-0.0023726392537355423,
-0.0018080483423545957,
-0.07484262436628342,
0.036193378269672394,
-0.07543057948350906,
-0.12134427577257156,
0.010266439989209175,
0.019093774259090424,
-0.04420838505029678,
0.046187564730644226,
0.02601151540875435,
-0.025096440687775612,
0.0652705729007721,
-0.09590858221054077,
-0.04540019482374191,
-0.01774566061794758,
-0.0034417242277413607,
-0.0012556408764794469,
-0.062349870800971985,
-0.07952755689620972,
-0.0002795239561237395,
-0.003243743209168315,
0.03551827371120453,
-0.05406587943434715,
-0.06886473298072815,
-0.00440600560978055,
-0.06324059516191483,
-0.010449574328958988,
-0.1088428944349289,
0.03456311672925949,
0.009962023235857487,
0.07617785036563873,
0.1072767898440361,
9.03325623456176e-34,
-0.020493291318416595,
-0.005061037838459015,
0.11682283133268356,
0.06730474531650543,
0.025115780532360077,
-0.03139875829219818,
-0.05294991284608841,
-0.049136389046907425,
0.024685442447662354,
0.029932478442788124,
-0.01909111812710762,
0.09363418072462082,
0.052448198199272156,
0.025614142417907715,
-0.05977277085185051,
0.0035661691799759865,
-0.00310495519079268,
-0.05498042702674866,
0.03726490959525108,
0.03922027349472046,
-0.04524717479944229,
0.06142161786556244,
-0.09473129361867905,
-0.06679729372262955,
0.0398014560341835,
0.02344500832259655,
-0.03484143316745758,
0.008704417385160923,
0.02138509415090084,
0.023595398291945457,
-0.06342329829931259,
0.02603667415678501,
-0.058692049235105515,
0.008857217617332935,
-0.05988208204507828,
0.09018547832965851,
0.001274184207431972,
0.08683399111032486,
0.09874840825796127,
0.10364454239606857,
-0.014323700219392776,
-0.0391865037381649,
-0.00762160774320364,
0.03427724167704582,
0.022534210234880447,
0.05829809978604317,
0.030620580539107323,
0.04021758213639259,
0.01058105193078518,
0.04342339560389519,
-0.02749464102089405,
-0.0316430889070034,
-0.007000368554145098,
0.030263809487223625,
-0.021185515448451042,
0.008712569251656532,
-0.04924565926194191,
0.04874969273805618,
0.05477306619286537,
-0.048410672694444656,
-0.005464158020913601,
-0.010758867487311363,
-0.006986591033637524,
0.042455170303583145,
-0.01444717962294817,
-0.04482530802488327,
-0.02955644391477108,
-0.0035955985076725483,
0.0003139586769975722,
0.04213130101561546,
0.024588458240032196,
0.05099820718169212,
0.06090174615383148,
-0.03751658275723457,
-0.04897681996226311,
-0.05261032283306122,
-0.008778026327490807,
0.0009159508626908064,
0.00206757802516222,
-0.03839690983295441,
-0.005844308063387871,
0.020029539242386818,
-0.004218515008687973,
-0.07629905641078949,
-0.025240423157811165,
-0.016457581892609596,
0.13443535566329956,
-0.020294906571507454,
-0.0034043879713863134,
0.0010134009644389153,
-0.0367283970117569,
0.06373324990272522,
0.03392418846487999,
-0.10355378687381744,
-0.04812804237008095,
-1.735078924980371e-8,
0.031599681824445724,
-0.11710073798894882,
-0.12494754791259766,
-0.005236087366938591,
0.14650338888168335,
-0.03431430459022522,
0.040501199662685394,
-0.043526019901037216,
-0.03893736004829407,
-0.0511835515499115,
0.08104060590267181,
0.009996687062084675,
-0.004861478228121996,
0.0023250512313097715,
-0.05725475773215294,
0.01350804790854454,
-0.017658066004514694,
0.057286784052848816,
-0.001790326670743525,
-0.0038328429218381643,
-0.08004660904407501,
0.022498466074466705,
-0.0029627031181007624,
0.03766981139779091,
0.08346208184957504,
-0.002429321175441146,
-0.024680214002728462,
-0.1316261738538742,
0.057039543986320496,
0.023464960977435112,
-0.07056746631860733,
-0.01892625167965889,
0.05345899239182472,
-0.002250575926154852,
0.0493488535284996,
0.0023307111114263535,
-0.035692084580659866,
0.041983462870121,
-0.016517076641321182,
-0.10076756030321121,
-0.06407894194126129,
0.017945412546396255,
-0.058973971754312515,
-0.017872363328933716,
0.09756741672754288,
0.021642105653882027,
-0.04203777387738228,
0.017539573833346367,
-0.02141091227531433,
-0.0012430910719558597,
-0.11826243996620178,
-0.02675202302634716,
0.05333496257662773,
-0.036551062017679214,
0.024056658148765564,
0.04363004490733147,
0.015230480581521988,
-0.06419922411441803,
0.054040879011154175,
-0.07536892592906952,
-0.031186426058411598,
0.0847153514623642,
-0.01101428922265768,
-0.03754759952425957
] | null | null | null | null | null | null | null |
[
-0.07368689030408859,
0.11974106729030609,
0.03473256528377533,
0.008613880723714828,
-0.04752326384186745,
0.022599074989557266,
0.014940494671463966,
-0.01250667218118906,
-0.07260332256555557,
0.0016539872158318758,
-0.026685277000069618,
-0.01423831656575203,
0.052904970943927765,
0.040161922574043274,
-0.02521485649049282,
0.07065747678279877,
-0.040156785398721695,
0.044548068195581436,
0.06422339379787445,
-0.022129109129309654,
-0.028409451246261597,
-0.008414007723331451,
-0.053108975291252136,
0.015490288846194744,
0.010000974871218204,
0.06729420274496078,
0.08740364760160446,
-0.012156243436038494,
-0.0012581325136125088,
-0.025670479983091354,
-0.0386999249458313,
-0.0736900269985199,
0.02031489834189415,
-0.04320681467652321,
-0.05233710631728172,
-0.003541656769812107,
-0.06646471470594406,
0.054174765944480896,
0.02230987884104252,
0.01971200853586197,
-0.006367103662341833,
0.07448168098926544,
0.03833404555916786,
-0.004301745444536209,
0.09510315209627151,
0.010160861536860466,
-0.030575735494494438,
0.03562328219413757,
0.00473291939124465,
-0.0794859305024147,
-0.005028807558119297,
0.004121424630284309,
0.01097223162651062,
0.025726107880473137,
-0.02075178176164627,
-0.11084865033626556,
-0.006722947582602501,
-0.05478296056389809,
0.006348324008285999,
0.05062456429004669,
0.08817106485366821,
-0.08348549157381058,
0.0005783954402431846,
-0.018808001652359962,
0.031314294785261154,
0.04137842729687691,
0.012967749498784542,
-0.026706798002123833,
-0.05425954610109329,
0.0669277161359787,
0.007166541647166014,
0.011903764680027962,
-0.0014626496704295278,
-0.09147540479898453,
0.038895756006240845,
0.03477974981069565,
0.03214261308312416,
0.019075248390436172,
-0.09218514710664749,
0.08282449841499329,
-0.02088264934718609,
-0.09423410892486572,
-0.017639171332120895,
-0.01056718546897173,
0.007680716924369335,
-0.0014590596547350287,
-0.1150989904999733,
-0.03872686251997948,
0.04426409676671028,
-0.03691496700048447,
-0.07314051687717438,
-0.04343697801232338,
0.010546714998781681,
-0.05839455500245094,
-0.032561514526605606,
-0.028568070381879807,
0.07326959073543549,
0.06492339819669724,
0.04651106894016266,
0.0685669481754303,
0.031137313693761826,
-0.041681572794914246,
-0.005477671977132559,
-0.00011053415801143274,
0.03476753830909729,
0.0917053148150444,
0.004427463747560978,
0.02390987239778042,
-0.05584173649549484,
-0.040485404431819916,
0.028460806235671043,
0.032632824033498764,
-0.031273338943719864,
0.03350374102592468,
0.03061184659600258,
-0.09862939268350601,
0.06446640938520432,
0.08815693110227585,
0.05050986260175705,
0.08278738707304001,
-0.012191559188067913,
0.043447982519865036,
0.00547410873696208,
0.025529587641358376,
0.030554980039596558,
-0.035851527005434036,
-0.013591834343969822,
-3.620069667865594e-33,
-0.03356866538524628,
0.019325627014040947,
0.09083680063486099,
-0.007184293121099472,
0.12116769701242447,
-0.01627351902425289,
-0.017525015398859978,
-0.020863743498921394,
0.035532236099243164,
-0.02826293371617794,
-0.04153994098305702,
0.006337333936244249,
0.03254326805472374,
-0.07343289256095886,
0.04056189954280853,
-0.09001483768224716,
-0.0480223186314106,
-0.03406958654522896,
0.023803548887372017,
-0.07709770649671555,
0.062039971351623535,
-0.08175031840801239,
0.0302507895976305,
0.05280520021915436,
-0.050441447645425797,
-0.02687893994152546,
0.05183081701397896,
-0.07684630900621414,
-0.022694526240229607,
-0.03546507656574249,
0.015366367995738983,
0.04491287097334862,
-0.02217603102326393,
0.12052050977945328,
-0.0010818577138707042,
0.05397948995232582,
0.04853162541985512,
0.013536632061004639,
0.07088632881641388,
-0.000294177676551044,
-0.07247253507375717,
0.014737614430487156,
0.03166799992322922,
-0.04337290674448013,
-0.03890092298388481,
-0.06624520570039749,
-0.00970260426402092,
0.07891619205474854,
0.05190939083695412,
0.09372254461050034,
-0.07449921220541,
-0.07309293746948242,
-0.026203861460089684,
0.009873619303107262,
-0.0319557748734951,
-0.05265849456191063,
-0.02265763096511364,
0.035763341933488846,
0.04564185440540314,
0.1207246482372284,
0.08575554937124252,
-0.001639874535612762,
-0.0023726392537355423,
-0.0018080483423545957,
-0.07484262436628342,
0.036193378269672394,
-0.07543057948350906,
-0.12134427577257156,
0.010266439989209175,
0.019093774259090424,
-0.04420838505029678,
0.046187564730644226,
0.02601151540875435,
-0.025096440687775612,
0.0652705729007721,
-0.09590858221054077,
-0.04540019482374191,
-0.01774566061794758,
-0.0034417242277413607,
-0.0012556408764794469,
-0.062349870800971985,
-0.07952755689620972,
-0.0002795239561237395,
-0.003243743209168315,
0.03551827371120453,
-0.05406587943434715,
-0.06886473298072815,
-0.00440600560978055,
-0.06324059516191483,
-0.010449574328958988,
-0.1088428944349289,
0.03456311672925949,
0.009962023235857487,
0.07617785036563873,
0.1072767898440361,
9.03325623456176e-34,
-0.020493291318416595,
-0.005061037838459015,
0.11682283133268356,
0.06730474531650543,
0.025115780532360077,
-0.03139875829219818,
-0.05294991284608841,
-0.049136389046907425,
0.024685442447662354,
0.029932478442788124,
-0.01909111812710762,
0.09363418072462082,
0.052448198199272156,
0.025614142417907715,
-0.05977277085185051,
0.0035661691799759865,
-0.00310495519079268,
-0.05498042702674866,
0.03726490959525108,
0.03922027349472046,
-0.04524717479944229,
0.06142161786556244,
-0.09473129361867905,
-0.06679729372262955,
0.0398014560341835,
0.02344500832259655,
-0.03484143316745758,
0.008704417385160923,
0.02138509415090084,
0.023595398291945457,
-0.06342329829931259,
0.02603667415678501,
-0.058692049235105515,
0.008857217617332935,
-0.05988208204507828,
0.09018547832965851,
0.001274184207431972,
0.08683399111032486,
0.09874840825796127,
0.10364454239606857,
-0.014323700219392776,
-0.0391865037381649,
-0.00762160774320364,
0.03427724167704582,
0.022534210234880447,
0.05829809978604317,
0.030620580539107323,
0.04021758213639259,
0.01058105193078518,
0.04342339560389519,
-0.02749464102089405,
-0.0316430889070034,
-0.007000368554145098,
0.030263809487223625,
-0.021185515448451042,
0.008712569251656532,
-0.04924565926194191,
0.04874969273805618,
0.05477306619286537,
-0.048410672694444656,
-0.005464158020913601,
-0.010758867487311363,
-0.006986591033637524,
0.042455170303583145,
-0.01444717962294817,
-0.04482530802488327,
-0.02955644391477108,
-0.0035955985076725483,
0.0003139586769975722,
0.04213130101561546,
0.024588458240032196,
0.05099820718169212,
0.06090174615383148,
-0.03751658275723457,
-0.04897681996226311,
-0.05261032283306122,
-0.008778026327490807,
0.0009159508626908064,
0.00206757802516222,
-0.03839690983295441,
-0.005844308063387871,
0.020029539242386818,
-0.004218515008687973,
-0.07629905641078949,
-0.025240423157811165,
-0.016457581892609596,
0.13443535566329956,
-0.020294906571507454,
-0.0034043879713863134,
0.0010134009644389153,
-0.0367283970117569,
0.06373324990272522,
0.03392418846487999,
-0.10355378687381744,
-0.04812804237008095,
-1.735078924980371e-8,
0.031599681824445724,
-0.11710073798894882,
-0.12494754791259766,
-0.005236087366938591,
0.14650338888168335,
-0.03431430459022522,
0.040501199662685394,
-0.043526019901037216,
-0.03893736004829407,
-0.0511835515499115,
0.08104060590267181,
0.009996687062084675,
-0.004861478228121996,
0.0023250512313097715,
-0.05725475773215294,
0.01350804790854454,
-0.017658066004514694,
0.057286784052848816,
-0.001790326670743525,
-0.0038328429218381643,
-0.08004660904407501,
0.022498466074466705,
-0.0029627031181007624,
0.03766981139779091,
0.08346208184957504,
-0.002429321175441146,
-0.024680214002728462,
-0.1316261738538742,
0.057039543986320496,
0.023464960977435112,
-0.07056746631860733,
-0.01892625167965889,
0.05345899239182472,
-0.002250575926154852,
0.0493488535284996,
0.0023307111114263535,
-0.035692084580659866,
0.041983462870121,
-0.016517076641321182,
-0.10076756030321121,
-0.06407894194126129,
0.017945412546396255,
-0.058973971754312515,
-0.017872363328933716,
0.09756741672754288,
0.021642105653882027,
-0.04203777387738228,
0.017539573833346367,
-0.02141091227531433,
-0.0012430910719558597,
-0.11826243996620178,
-0.02675202302634716,
0.05333496257662773,
-0.036551062017679214,
0.024056658148765564,
0.04363004490733147,
0.015230480581521988,
-0.06419922411441803,
0.054040879011154175,
-0.07536892592906952,
-0.031186426058411598,
0.0847153514623642,
-0.01101428922265768,
-0.03754759952425957
] |
1401.6424
|
Nico Goernitz
|
Nico Goernitz, Marius Micha Kloft, Konrad Rieck, Ulf Brefeld
|
Toward Supervised Anomaly Detection
| null |
Journal Of Artificial Intelligence Research, Volume 46, pages
235-262, 2013
|
10.1613/jair.3623
| null |
cs.LG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Anomaly detection is being regarded as an unsupervised learning task as
anomalies stem from adversarial or unlikely events with unknown distributions.
However, the predictive performance of purely unsupervised anomaly detection
often fails to match the required detection rates in many tasks and there
exists a need for labeled data to guide the model generation. Our first
contribution shows that classical semi-supervised approaches, originating from
a supervised classifier, are inappropriate and hardly detect new and unknown
anomalies. We argue that semi-supervised anomaly detection needs to ground on
the unsupervised learning paradigm and devise a novel algorithm that meets this
requirement. Although being intrinsically non-convex, we further show that the
optimization problem has a convex equivalent under relatively mild assumptions.
Additionally, we propose an active learning strategy to automatically filter
candidates for labeling. In an empirical study on network intrusion detection
data, we observe that the proposed learning methodology requires much less
labeled data than the state-of-the-art, while achieving higher detection
accuracies.
|
[
{
"created": "Thu, 23 Jan 2014 02:46:53 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Goernitz",
"Nico",
""
],
[
"Kloft",
"Marius Micha",
""
],
[
"Rieck",
"Konrad",
""
],
[
"Brefeld",
"Ulf",
""
]
] |
[
-0.08695143461227417,
-0.03145405650138855,
-0.022923605516552925,
0.08493020385503769,
0.09910538792610168,
-0.010090425610542297,
0.0892101526260376,
-0.0618993416428566,
-0.03846821188926697,
0.013433858752250671,
-0.023409657180309296,
-0.07773035764694214,
0.08304255455732346,
0.04875403270125389,
-0.08428621292114258,
0.026702262461185455,
0.11372178047895432,
0.007946068421006203,
-0.04371090605854988,
-0.030006038025021553,
-0.04191582649946213,
0.04185245558619499,
0.013411208987236023,
0.03013382852077484,
0.020923418924212456,
0.00895345862954855,
0.030867107212543488,
-0.04178181290626526,
-0.044845737516880035,
-0.004781064577400684,
0.05648738518357277,
-0.032737620174884796,
-0.08447005599737167,
-0.028203051537275314,
0.01694103330373764,
-0.0475938580930233,
-0.030188417062163353,
0.05110526829957962,
0.07067295163869858,
-0.022721173241734505,
0.07531969994306564,
-0.053493574261665344,
-0.007704880088567734,
0.03437304496765137,
-0.035508304834365845,
-0.05167965218424797,
-0.08992890268564224,
-0.03456440195441246,
0.025307171046733856,
-0.04048815742135048,
-0.013936780393123627,
-0.06665497273206711,
0.003552860813215375,
0.04144924506545067,
-0.050580501556396484,
-0.02105034328997135,
0.01154432725161314,
-0.0498557910323143,
0.03847318887710571,
0.027597757056355476,
-0.0009630601271055639,
-0.10920101404190063,
0.02430649660527706,
-0.022926097735762596,
-0.031987711787223816,
-0.0019146024715155363,
0.0017150738276541233,
0.0660138726234436,
-0.02186528965830803,
0.0888485535979271,
0.02411387674510479,
0.15161290764808655,
-0.09310967475175858,
0.05515054613351822,
0.10772092640399933,
-0.0028197818901389837,
0.014614898711442947,
0.02407657913863659,
0.026646332815289497,
-0.034889105707407,
0.02642262540757656,
0.10277272760868073,
0.07523110508918762,
0.057137567549943924,
0.13981091976165771,
0.07315972447395325,
0.0005706187221221626,
0.008757769130170345,
0.029962019994854927,
0.02268957532942295,
-0.06427609920501709,
-0.01021512970328331,
0.020739290863275528,
0.0007147259311750531,
0.026337580755352974,
-0.017736978828907013,
-0.020011499524116516,
-0.020475707948207855,
0.04950587823987007,
0.08746862411499023,
-0.07064665853977203,
0.08001585304737091,
-0.025577010586857796,
-0.006176723167300224,
0.07172085344791412,
0.007416463922709227,
0.021216074004769325,
0.0370127335190773,
0.05596381425857544,
-0.05645240470767021,
0.030748574063181877,
0.0063287606462836266,
0.03006262145936489,
-0.07233502715826035,
0.02181350812315941,
0.003737115766853094,
0.06904491037130356,
0.017921477556228638,
-0.1016574278473854,
0.035879895091056824,
-0.024836936965584755,
-0.022417644038796425,
0.014768501743674278,
0.015257740393280983,
-0.003594503737986088,
0.0008443967089988291,
-0.09855581820011139,
2.4472192609776954e-33,
0.012450756505131721,
0.0035827939864248037,
-0.026174994185566902,
-0.059084367007017136,
0.009830721653997898,
-0.060791391879320145,
-0.07377586513757706,
0.0693630650639534,
0.04606252163648605,
0.0389518141746521,
-0.029163451865315437,
-0.020381230860948563,
0.012629331089556217,
0.015408969484269619,
0.04884045198559761,
-0.01738409884274006,
0.04276694357395172,
0.05824075639247894,
-0.020066674798727036,
-0.09906064718961716,
-0.04644201323390007,
-0.054864440113306046,
-0.04177628085017204,
-0.024159995838999748,
0.028115257620811462,
-0.04603471979498863,
0.007268322631716728,
0.012661763466894627,
0.06078791618347168,
0.0182469692081213,
-0.04522596672177315,
0.014326224103569984,
0.03484911471605301,
0.05017601326107979,
0.034309644252061844,
-0.01688913069665432,
-0.016595998778939247,
-0.02064030058681965,
0.02146313525736332,
-0.014359953813254833,
-0.015266264788806438,
0.049604158848524094,
0.052807532250881195,
-0.09157723933458328,
-0.01824234053492546,
-0.034415874630212784,
0.014300148002803326,
-0.018120931461453438,
-0.023259026929736137,
-0.131809800863266,
0.02565857768058777,
-0.00836271420121193,
0.029733512550592422,
0.01941739395260811,
-0.07888895273208618,
0.01018153689801693,
0.0041129011660814285,
0.025235725566744804,
-0.017856929451227188,
0.03845566138625145,
-0.0035506882704794407,
-0.022801944985985756,
0.018990393728017807,
0.03538918495178223,
-0.044545236974954605,
-0.0040800729766488075,
0.0856243222951889,
0.0416150763630867,
0.0007003326318226755,
0.02265426516532898,
0.015200262889266014,
0.03872418403625488,
-0.05267880856990814,
0.0019610885065048933,
0.06054531782865524,
0.0300335343927145,
0.07194280624389648,
-0.008949949406087399,
-0.03167625516653061,
0.04712197557091713,
0.0026512942276895046,
-0.08450627326965332,
0.05940443277359009,
-0.00865183025598526,
-0.07955432683229446,
-0.0518902987241745,
0.03273390233516693,
0.026983268558979034,
-0.0015140071045607328,
0.07805725932121277,
-0.05428113415837288,
-0.0033725181128829718,
-0.07988397032022476,
-0.009513471275568008,
0.0212082602083683,
-1.6949289577323402e-33,
-0.04248129948973656,
0.06180255115032196,
-0.0968470573425293,
-0.05680970102548599,
-0.016916798427700996,
0.0015178621979430318,
-0.026633121073246002,
0.06376183032989502,
-0.051463015377521515,
-0.04039205238223076,
0.014325132593512535,
0.0043194186873734,
0.014187534339725971,
-0.052538130432367325,
0.0052453516982495785,
0.03558636084198952,
-0.0509335957467556,
0.10469688475131989,
-0.04804939031600952,
0.07168351113796234,
-0.009907794184982777,
0.09365981817245483,
-0.09949493408203125,
-0.030274653807282448,
0.03655785322189331,
0.05681287497282028,
-0.041040752083063126,
0.13459564745426178,
-0.06463856995105743,
0.037285469472408295,
-0.07222188264131546,
0.0038458132185041904,
-0.01715683937072754,
-0.050135187804698944,
-0.07472360134124756,
0.0529661625623703,
0.06768715381622314,
-0.019389227032661438,
0.007692510727792978,
0.04506245255470276,
-0.051937978714704514,
0.06453579664230347,
-0.05902871862053871,
0.04683515429496765,
0.020476417616009712,
-0.029466543346643448,
0.028367923572659492,
0.03172183036804199,
0.014371235854923725,
-0.004372475203126669,
-0.05299133062362671,
0.032189853489398956,
-0.004235324915498495,
0.057802312076091766,
-0.0934489443898201,
-0.033414337784051895,
-0.019177617505192757,
-0.015283538959920406,
0.029956065118312836,
0.07221711426973343,
-0.03143543750047684,
0.022701244801282883,
0.0011546978494152427,
0.03934214636683464,
-0.00856600422412157,
-0.0721268355846405,
-0.0405610091984272,
0.0023768176324665546,
-0.030189046636223793,
-0.03358183801174164,
0.05065774917602539,
0.03308277204632759,
-0.0761198177933693,
0.03414461389183998,
-0.08799288421869278,
-0.06278383731842041,
0.039797939360141754,
-0.015804102644324303,
-0.04585801437497139,
0.07713662832975388,
0.095054991543293,
-0.00295294844545424,
0.024371860548853874,
0.047489117830991745,
0.0065415725111961365,
0.04815100133419037,
0.08298806846141815,
-0.04038812965154648,
0.026058511808514595,
-0.003402658272534609,
-0.020899293944239616,
-0.02529413439333439,
-0.05809120833873749,
0.021824907511472702,
0.028421781957149506,
-3.827837247172283e-8,
-0.06992955505847931,
0.023798871785402298,
0.024479379877448082,
-0.04373878240585327,
0.06807524710893631,
0.05889284610748291,
-0.11472781002521515,
0.021483607590198517,
-0.042548518627882004,
-0.04579133912920952,
-0.0017335001612082124,
-0.05334438756108284,
-0.019489794969558716,
-0.08399541676044464,
-0.042562272399663925,
-0.03070846199989319,
0.0376039519906044,
0.0660068467259407,
-0.02450418658554554,
0.010304756462574005,
0.0204705111682415,
0.006910967640578747,
0.006683815270662308,
-0.05707287788391113,
0.016719987615942955,
-0.08808135241270065,
0.039285652339458466,
-0.016702400520443916,
0.07710368186235428,
0.042111314833164215,
-0.09507997334003448,
-0.028731390833854675,
0.05473979562520981,
0.027828186750411987,
0.01902328059077263,
0.18156063556671143,
-0.0515531525015831,
-0.15202696621418,
-0.0563177615404129,
-0.05995170772075653,
-0.002304916502907872,
0.0856630876660347,
-0.015527680516242981,
0.010497257113456726,
-0.045916277915239334,
0.0031322266440838575,
-0.00819944404065609,
-0.048885900527238846,
0.08345095068216324,
-0.07157402485609055,
0.06893691420555115,
-0.054823994636535645,
0.07212704420089722,
0.09033315628767014,
0.040765609592199326,
0.04126396030187607,
0.0016413191333413124,
-0.046867240220308304,
0.00852253194898367,
0.07498733699321747,
0.10082527995109558,
0.0601324662566185,
-0.06766296178102493,
-0.011901600286364555
] | null | null | null | null | null | null | null |
[
-0.08695143461227417,
-0.03145405650138855,
-0.022923605516552925,
0.08493020385503769,
0.09910538792610168,
-0.010090425610542297,
0.0892101526260376,
-0.0618993416428566,
-0.03846821188926697,
0.013433858752250671,
-0.023409657180309296,
-0.07773035764694214,
0.08304255455732346,
0.04875403270125389,
-0.08428621292114258,
0.026702262461185455,
0.11372178047895432,
0.007946068421006203,
-0.04371090605854988,
-0.030006038025021553,
-0.04191582649946213,
0.04185245558619499,
0.013411208987236023,
0.03013382852077484,
0.020923418924212456,
0.00895345862954855,
0.030867107212543488,
-0.04178181290626526,
-0.044845737516880035,
-0.004781064577400684,
0.05648738518357277,
-0.032737620174884796,
-0.08447005599737167,
-0.028203051537275314,
0.01694103330373764,
-0.0475938580930233,
-0.030188417062163353,
0.05110526829957962,
0.07067295163869858,
-0.022721173241734505,
0.07531969994306564,
-0.053493574261665344,
-0.007704880088567734,
0.03437304496765137,
-0.035508304834365845,
-0.05167965218424797,
-0.08992890268564224,
-0.03456440195441246,
0.025307171046733856,
-0.04048815742135048,
-0.013936780393123627,
-0.06665497273206711,
0.003552860813215375,
0.04144924506545067,
-0.050580501556396484,
-0.02105034328997135,
0.01154432725161314,
-0.0498557910323143,
0.03847318887710571,
0.027597757056355476,
-0.0009630601271055639,
-0.10920101404190063,
0.02430649660527706,
-0.022926097735762596,
-0.031987711787223816,
-0.0019146024715155363,
0.0017150738276541233,
0.0660138726234436,
-0.02186528965830803,
0.0888485535979271,
0.02411387674510479,
0.15161290764808655,
-0.09310967475175858,
0.05515054613351822,
0.10772092640399933,
-0.0028197818901389837,
0.014614898711442947,
0.02407657913863659,
0.026646332815289497,
-0.034889105707407,
0.02642262540757656,
0.10277272760868073,
0.07523110508918762,
0.057137567549943924,
0.13981091976165771,
0.07315972447395325,
0.0005706187221221626,
0.008757769130170345,
0.029962019994854927,
0.02268957532942295,
-0.06427609920501709,
-0.01021512970328331,
0.020739290863275528,
0.0007147259311750531,
0.026337580755352974,
-0.017736978828907013,
-0.020011499524116516,
-0.020475707948207855,
0.04950587823987007,
0.08746862411499023,
-0.07064665853977203,
0.08001585304737091,
-0.025577010586857796,
-0.006176723167300224,
0.07172085344791412,
0.007416463922709227,
0.021216074004769325,
0.0370127335190773,
0.05596381425857544,
-0.05645240470767021,
0.030748574063181877,
0.0063287606462836266,
0.03006262145936489,
-0.07233502715826035,
0.02181350812315941,
0.003737115766853094,
0.06904491037130356,
0.017921477556228638,
-0.1016574278473854,
0.035879895091056824,
-0.024836936965584755,
-0.022417644038796425,
0.014768501743674278,
0.015257740393280983,
-0.003594503737986088,
0.0008443967089988291,
-0.09855581820011139,
2.4472192609776954e-33,
0.012450756505131721,
0.0035827939864248037,
-0.026174994185566902,
-0.059084367007017136,
0.009830721653997898,
-0.060791391879320145,
-0.07377586513757706,
0.0693630650639534,
0.04606252163648605,
0.0389518141746521,
-0.029163451865315437,
-0.020381230860948563,
0.012629331089556217,
0.015408969484269619,
0.04884045198559761,
-0.01738409884274006,
0.04276694357395172,
0.05824075639247894,
-0.020066674798727036,
-0.09906064718961716,
-0.04644201323390007,
-0.054864440113306046,
-0.04177628085017204,
-0.024159995838999748,
0.028115257620811462,
-0.04603471979498863,
0.007268322631716728,
0.012661763466894627,
0.06078791618347168,
0.0182469692081213,
-0.04522596672177315,
0.014326224103569984,
0.03484911471605301,
0.05017601326107979,
0.034309644252061844,
-0.01688913069665432,
-0.016595998778939247,
-0.02064030058681965,
0.02146313525736332,
-0.014359953813254833,
-0.015266264788806438,
0.049604158848524094,
0.052807532250881195,
-0.09157723933458328,
-0.01824234053492546,
-0.034415874630212784,
0.014300148002803326,
-0.018120931461453438,
-0.023259026929736137,
-0.131809800863266,
0.02565857768058777,
-0.00836271420121193,
0.029733512550592422,
0.01941739395260811,
-0.07888895273208618,
0.01018153689801693,
0.0041129011660814285,
0.025235725566744804,
-0.017856929451227188,
0.03845566138625145,
-0.0035506882704794407,
-0.022801944985985756,
0.018990393728017807,
0.03538918495178223,
-0.044545236974954605,
-0.0040800729766488075,
0.0856243222951889,
0.0416150763630867,
0.0007003326318226755,
0.02265426516532898,
0.015200262889266014,
0.03872418403625488,
-0.05267880856990814,
0.0019610885065048933,
0.06054531782865524,
0.0300335343927145,
0.07194280624389648,
-0.008949949406087399,
-0.03167625516653061,
0.04712197557091713,
0.0026512942276895046,
-0.08450627326965332,
0.05940443277359009,
-0.00865183025598526,
-0.07955432683229446,
-0.0518902987241745,
0.03273390233516693,
0.026983268558979034,
-0.0015140071045607328,
0.07805725932121277,
-0.05428113415837288,
-0.0033725181128829718,
-0.07988397032022476,
-0.009513471275568008,
0.0212082602083683,
-1.6949289577323402e-33,
-0.04248129948973656,
0.06180255115032196,
-0.0968470573425293,
-0.05680970102548599,
-0.016916798427700996,
0.0015178621979430318,
-0.026633121073246002,
0.06376183032989502,
-0.051463015377521515,
-0.04039205238223076,
0.014325132593512535,
0.0043194186873734,
0.014187534339725971,
-0.052538130432367325,
0.0052453516982495785,
0.03558636084198952,
-0.0509335957467556,
0.10469688475131989,
-0.04804939031600952,
0.07168351113796234,
-0.009907794184982777,
0.09365981817245483,
-0.09949493408203125,
-0.030274653807282448,
0.03655785322189331,
0.05681287497282028,
-0.041040752083063126,
0.13459564745426178,
-0.06463856995105743,
0.037285469472408295,
-0.07222188264131546,
0.0038458132185041904,
-0.01715683937072754,
-0.050135187804698944,
-0.07472360134124756,
0.0529661625623703,
0.06768715381622314,
-0.019389227032661438,
0.007692510727792978,
0.04506245255470276,
-0.051937978714704514,
0.06453579664230347,
-0.05902871862053871,
0.04683515429496765,
0.020476417616009712,
-0.029466543346643448,
0.028367923572659492,
0.03172183036804199,
0.014371235854923725,
-0.004372475203126669,
-0.05299133062362671,
0.032189853489398956,
-0.004235324915498495,
0.057802312076091766,
-0.0934489443898201,
-0.033414337784051895,
-0.019177617505192757,
-0.015283538959920406,
0.029956065118312836,
0.07221711426973343,
-0.03143543750047684,
0.022701244801282883,
0.0011546978494152427,
0.03934214636683464,
-0.00856600422412157,
-0.0721268355846405,
-0.0405610091984272,
0.0023768176324665546,
-0.030189046636223793,
-0.03358183801174164,
0.05065774917602539,
0.03308277204632759,
-0.0761198177933693,
0.03414461389183998,
-0.08799288421869278,
-0.06278383731842041,
0.039797939360141754,
-0.015804102644324303,
-0.04585801437497139,
0.07713662832975388,
0.095054991543293,
-0.00295294844545424,
0.024371860548853874,
0.047489117830991745,
0.0065415725111961365,
0.04815100133419037,
0.08298806846141815,
-0.04038812965154648,
0.026058511808514595,
-0.003402658272534609,
-0.020899293944239616,
-0.02529413439333439,
-0.05809120833873749,
0.021824907511472702,
0.028421781957149506,
-3.827837247172283e-8,
-0.06992955505847931,
0.023798871785402298,
0.024479379877448082,
-0.04373878240585327,
0.06807524710893631,
0.05889284610748291,
-0.11472781002521515,
0.021483607590198517,
-0.042548518627882004,
-0.04579133912920952,
-0.0017335001612082124,
-0.05334438756108284,
-0.019489794969558716,
-0.08399541676044464,
-0.042562272399663925,
-0.03070846199989319,
0.0376039519906044,
0.0660068467259407,
-0.02450418658554554,
0.010304756462574005,
0.0204705111682415,
0.006910967640578747,
0.006683815270662308,
-0.05707287788391113,
0.016719987615942955,
-0.08808135241270065,
0.039285652339458466,
-0.016702400520443916,
0.07710368186235428,
0.042111314833164215,
-0.09507997334003448,
-0.028731390833854675,
0.05473979562520981,
0.027828186750411987,
0.01902328059077263,
0.18156063556671143,
-0.0515531525015831,
-0.15202696621418,
-0.0563177615404129,
-0.05995170772075653,
-0.002304916502907872,
0.0856630876660347,
-0.015527680516242981,
0.010497257113456726,
-0.045916277915239334,
0.0031322266440838575,
-0.00819944404065609,
-0.048885900527238846,
0.08345095068216324,
-0.07157402485609055,
0.06893691420555115,
-0.054823994636535645,
0.07212704420089722,
0.09033315628767014,
0.040765609592199326,
0.04126396030187607,
0.0016413191333413124,
-0.046867240220308304,
0.00852253194898367,
0.07498733699321747,
0.10082527995109558,
0.0601324662566185,
-0.06766296178102493,
-0.011901600286364555
] |
1401.6427
|
Seyed Abolghasem Mirroshandel
|
Seyed Abolghasem Mirroshandel, Gholamreza Ghassem-Sani
|
Towards Unsupervised Learning of Temporal Relations between Events
| null |
Journal Of Artificial Intelligence Research, Volume 45, pages
125-163, 2012
|
10.1613/jair.3693
| null |
cs.LG cs.CL
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Automatic extraction of temporal relations between event pairs is an
important task for several natural language processing applications such as
Question Answering, Information Extraction, and Summarization. Since most
existing methods are supervised and require large corpora, which for many
languages do not exist, we have concentrated our efforts to reduce the need for
annotated data as much as possible. This paper presents two different
algorithms towards this goal. The first algorithm is a weakly supervised
machine learning approach for classification of temporal relations between
events. In the first stage, the algorithm learns a general classifier from an
annotated corpus. Then, inspired by the hypothesis of "one type of temporal
relation per discourse, it extracts useful information from a cluster of
topically related documents. We show that by combining the global information
of such a cluster with local decisions of a general classifier, a bootstrapping
cross-document classifier can be built to extract temporal relations between
events. Our experiments show that without any additional annotated data, the
accuracy of the proposed algorithm is higher than that of several previous
successful systems. The second proposed method for temporal relation extraction
is based on the expectation maximization (EM) algorithm. Within EM, we used
different techniques such as a greedy best-first search and integer linear
programming for temporal inconsistency removal. We think that the experimental
results of our EM based algorithm, as a first step toward a fully unsupervised
temporal relation extraction method, is encouraging.
|
[
{
"created": "Thu, 23 Jan 2014 02:50:50 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Mirroshandel",
"Seyed Abolghasem",
""
],
[
"Ghassem-Sani",
"Gholamreza",
""
]
] |
[
-0.060607489198446274,
0.01915256679058075,
0.04454838111996651,
-0.010951422154903412,
0.09093181043863297,
0.010302509181201458,
-0.014296046458184719,
0.005002060905098915,
0.051404211670160294,
-0.026538444682955742,
-0.13074888288974762,
-0.00951463170349598,
-0.05941794812679291,
0.07610823214054108,
-0.0074069020338356495,
0.01932947337627411,
0.08476749807596207,
0.015441305935382843,
-0.09954379498958588,
0.009324779734015465,
0.02665828727185726,
0.03618765249848366,
-0.029847830533981323,
0.0320013202726841,
-0.007301990874111652,
-0.00837851781398058,
0.04476112872362137,
-0.028449293226003647,
0.036599501967430115,
0.05282149091362953,
0.05368364229798317,
-0.018462076783180237,
-0.04706313833594322,
-0.010627144947648048,
-0.01809028908610344,
0.037290532141923904,
-0.05712719261646271,
0.029569091275334358,
0.004109282046556473,
-0.0249151811003685,
0.03145657479763031,
-0.04060665890574455,
0.03357909247279167,
0.02164755016565323,
0.09305640310049057,
0.02321179024875164,
-0.023788386955857277,
-0.006844486575573683,
-0.060479786247015,
0.07867062091827393,
-0.07231777161359787,
0.07020793110132217,
0.05853365734219551,
0.0794927328824997,
0.0018775518983602524,
0.05563175305724144,
-0.032134510576725006,
0.03576257452368736,
-0.007370296865701675,
-0.0814342051744461,
0.002529464429244399,
-0.052752211689949036,
-0.06446877866983414,
-0.03423401340842247,
-0.02656189352273941,
-0.10013537108898163,
0.00622717197984457,
0.07408939301967621,
-0.0057740239426493645,
0.05526860058307648,
-0.04412349313497543,
0.0912042185664177,
-0.0018091356614604592,
0.13458606600761414,
-0.03711742162704468,
0.07010199129581451,
-0.03787115588784218,
-0.02019602060317993,
-0.008077683858573437,
-0.06326888501644135,
-0.018464485183358192,
0.05313470959663391,
0.08124715089797974,
0.0036141115706413984,
0.11741601675748825,
-0.02762143313884735,
-0.026730459183454514,
0.06327416747808456,
-0.05326973274350166,
0.03445132449269295,
-0.049722883850336075,
-0.04127867519855499,
0.1320524960756302,
-0.005466426722705364,
0.0027624417562037706,
0.006236239802092314,
-0.00962788611650467,
-0.018845507875084877,
0.03913624957203865,
0.11958658695220947,
0.0014132657088339329,
0.1229473426938057,
-0.04232669249176979,
-0.05681397020816803,
0.02298009768128395,
0.015769142657518387,
-0.05436312034726143,
-0.06191829591989517,
-0.01865316927433014,
-0.031160755082964897,
-0.02817346528172493,
0.04808972775936127,
-0.09210841357707977,
-0.04069984704256058,
0.059914760291576385,
0.02249656431376934,
0.05682988092303276,
0.038615964353084564,
0.07140985876321793,
0.04235946014523506,
-0.03403942286968231,
-0.017150498926639557,
0.02306363172829151,
0.03672114014625549,
0.01621457189321518,
-0.041065383702516556,
0.049626097083091736,
9.039599312281393e-34,
0.08965343981981277,
-0.06833910197019577,
-0.04768326133489609,
0.024923035874962807,
-0.019787609577178955,
0.004064160864800215,
-0.013826115988194942,
-0.03521755710244179,
0.04288105666637421,
0.00407992210239172,
0.00044250188511796296,
-0.002558782696723938,
0.04118074104189873,
-0.03789626061916351,
0.003698991844430566,
0.00027136184507980943,
-0.011679727584123611,
0.04387645423412323,
-0.01620129495859146,
-0.07275767624378204,
-0.017084568738937378,
0.032723236829042435,
0.0356195867061615,
0.01473169680684805,
0.03867366164922714,
0.03832579031586647,
0.03222125396132469,
-0.06358173489570618,
-0.003911163192242384,
0.00257077906280756,
-0.019661005586385727,
-0.07554817199707031,
0.009741097688674927,
-0.033650122582912445,
0.04388346150517464,
0.012371128425002098,
-0.05196896940469742,
-0.02657509781420231,
-0.03295917063951492,
0.012138321995735168,
-0.08412313461303711,
-0.056674979627132416,
0.09739568829536438,
-0.011571001261472702,
-0.030378663912415504,
-0.035310376435518265,
-0.03576706349849701,
-0.01422478910535574,
0.058104950934648514,
-0.033428072929382324,
0.045356474816799164,
-0.0758860856294632,
0.007747983559966087,
-0.06731907278299332,
0.040448613464832306,
0.05091521143913269,
0.04807194694876671,
0.019569430500268936,
-0.00047638476826250553,
0.020523956045508385,
-0.016716690734028816,
0.05285964533686638,
0.010277921333909035,
0.013799001462757587,
-0.02305128239095211,
0.032165851444005966,
-0.027650391682982445,
0.07566532492637634,
0.07572104781866074,
0.0018681427463889122,
0.022313544526696205,
0.042781561613082886,
0.05987353250384331,
-0.08850657194852829,
0.04545585811138153,
0.1543288230895996,
0.05942035838961601,
-0.06815967708826065,
0.0010689060436561704,
0.06028471887111664,
-0.026480453088879585,
-0.09471878409385681,
0.12395478039979935,
-0.0532982312142849,
-0.029549486935138702,
0.020150506868958473,
0.022622842341661453,
0.000004644379259843845,
0.034430403262376785,
-0.017402827739715576,
-0.04217896983027458,
-0.01608669012784958,
-0.0485626682639122,
-0.007506318390369415,
0.018358737230300903,
-6.423903058156063e-34,
0.004280721303075552,
0.009605443105101585,
-0.048401784151792526,
-0.010311783291399479,
-0.012982157059013844,
0.006075358018279076,
-0.10747602581977844,
0.0014860185328871012,
-0.02674988843500614,
0.009372547268867493,
-0.030785150825977325,
-0.05231623351573944,
0.06982118636369705,
0.014619406312704086,
-0.04167330637574196,
0.03862318769097328,
0.006546444725245237,
-0.008447958156466484,
0.020072827115654945,
0.09171737730503082,
0.0020323984790593386,
0.1352853626012802,
-0.11848249286413193,
0.010435361415147781,
0.02682572230696678,
-0.04425662383437157,
0.09031926840543747,
0.04361176863312721,
-0.0741683691740036,
-0.04372565075755119,
-0.09458569437265396,
-0.015451531857252121,
-0.06027114391326904,
-0.03583748638629913,
-0.12141919881105423,
0.0206497423350811,
-0.04000882804393768,
-0.12543107569217682,
-0.015258531086146832,
-0.03041645884513855,
0.06465531140565872,
0.022904034703969955,
-0.08466196805238724,
-0.03415611758828163,
-0.10720910876989365,
0.003997940104454756,
-0.1616310328245163,
0.06194636598229408,
0.055926863104104996,
0.054620444774627686,
-0.07284387946128845,
-0.043566908687353134,
-0.04398597404360771,
0.010521610267460346,
0.004985093604773283,
-0.07795602828264236,
-0.03024512343108654,
-0.023764483630657196,
-0.037482790648937225,
0.00954589806497097,
-0.040780678391456604,
0.08508455008268356,
0.005862088408321142,
-0.007315204478800297,
0.10200922191143036,
-0.05985531583428383,
0.005842605140060186,
-0.010642224922776222,
-0.010790273547172546,
-0.022021232172846794,
0.11015304177999496,
0.036974530667066574,
0.011511879041790962,
0.003739804495126009,
0.0075771561823785305,
0.06604000180959702,
0.0819912776350975,
-0.062229011207818985,
-0.010352353565394878,
-0.12322380393743515,
0.02842642553150654,
0.004335378762334585,
0.062338486313819885,
0.01833965629339218,
0.002215298591181636,
0.05729082226753235,
0.04934113100171089,
0.059532541781663895,
0.11316918581724167,
-0.012798692099750042,
-0.02241550385951996,
-0.0009554435382597148,
-0.003425203962251544,
0.10321523249149323,
0.0021978591103106737,
-3.813194027202371e-8,
-0.03685319423675537,
0.05569571629166603,
-0.09814386069774628,
0.008911948651075363,
0.007344018202275038,
-0.0030816809739917517,
-0.036898933351039886,
0.06555484980344772,
-0.022747211158275604,
-0.04521001875400543,
-0.004665169399231672,
-0.026912212371826172,
-0.019805822521448135,
-0.0771639496088028,
-0.01968204416334629,
0.010819867253303528,
0.043438591063022614,
-0.04503776133060455,
0.005389067810028791,
-0.009681649506092072,
0.052078112959861755,
-0.0020822330843657255,
0.010900466702878475,
0.03373614698648453,
0.012541580945253372,
-0.016731558367609978,
-0.04680469259619713,
0.045709192752838135,
0.04803119972348213,
-0.05942626670002937,
-0.03224143385887146,
0.02110309526324272,
-0.07975729554891586,
0.01817682385444641,
0.06057646498084068,
0.14613600075244904,
0.020642127841711044,
0.007978344336152077,
-0.023774009197950363,
-0.003736088750883937,
0.008596379309892654,
0.023367730900645256,
-0.04474770650267601,
0.04611609876155853,
0.05817437544465065,
-0.07040354609489441,
-0.04543304815888405,
-0.08070442080497742,
0.020975254476070404,
-0.02520328015089035,
-0.0035315779969096184,
-0.09035709500312805,
0.06468359380960464,
-0.023387553170323372,
0.021985994651913643,
0.01968761347234249,
-0.029628492891788483,
0.027733363211154938,
0.03165966644883156,
-0.027083374559879303,
0.0061785499565303326,
0.00642283633351326,
-0.00403036130592227,
0.04486673325300217
] | null | null | null | null | null | null | null |
[
-0.060607489198446274,
0.01915256679058075,
0.04454838111996651,
-0.010951422154903412,
0.09093181043863297,
0.010302509181201458,
-0.014296046458184719,
0.005002060905098915,
0.051404211670160294,
-0.026538444682955742,
-0.13074888288974762,
-0.00951463170349598,
-0.05941794812679291,
0.07610823214054108,
-0.0074069020338356495,
0.01932947337627411,
0.08476749807596207,
0.015441305935382843,
-0.09954379498958588,
0.009324779734015465,
0.02665828727185726,
0.03618765249848366,
-0.029847830533981323,
0.0320013202726841,
-0.007301990874111652,
-0.00837851781398058,
0.04476112872362137,
-0.028449293226003647,
0.036599501967430115,
0.05282149091362953,
0.05368364229798317,
-0.018462076783180237,
-0.04706313833594322,
-0.010627144947648048,
-0.01809028908610344,
0.037290532141923904,
-0.05712719261646271,
0.029569091275334358,
0.004109282046556473,
-0.0249151811003685,
0.03145657479763031,
-0.04060665890574455,
0.03357909247279167,
0.02164755016565323,
0.09305640310049057,
0.02321179024875164,
-0.023788386955857277,
-0.006844486575573683,
-0.060479786247015,
0.07867062091827393,
-0.07231777161359787,
0.07020793110132217,
0.05853365734219551,
0.0794927328824997,
0.0018775518983602524,
0.05563175305724144,
-0.032134510576725006,
0.03576257452368736,
-0.007370296865701675,
-0.0814342051744461,
0.002529464429244399,
-0.052752211689949036,
-0.06446877866983414,
-0.03423401340842247,
-0.02656189352273941,
-0.10013537108898163,
0.00622717197984457,
0.07408939301967621,
-0.0057740239426493645,
0.05526860058307648,
-0.04412349313497543,
0.0912042185664177,
-0.0018091356614604592,
0.13458606600761414,
-0.03711742162704468,
0.07010199129581451,
-0.03787115588784218,
-0.02019602060317993,
-0.008077683858573437,
-0.06326888501644135,
-0.018464485183358192,
0.05313470959663391,
0.08124715089797974,
0.0036141115706413984,
0.11741601675748825,
-0.02762143313884735,
-0.026730459183454514,
0.06327416747808456,
-0.05326973274350166,
0.03445132449269295,
-0.049722883850336075,
-0.04127867519855499,
0.1320524960756302,
-0.005466426722705364,
0.0027624417562037706,
0.006236239802092314,
-0.00962788611650467,
-0.018845507875084877,
0.03913624957203865,
0.11958658695220947,
0.0014132657088339329,
0.1229473426938057,
-0.04232669249176979,
-0.05681397020816803,
0.02298009768128395,
0.015769142657518387,
-0.05436312034726143,
-0.06191829591989517,
-0.01865316927433014,
-0.031160755082964897,
-0.02817346528172493,
0.04808972775936127,
-0.09210841357707977,
-0.04069984704256058,
0.059914760291576385,
0.02249656431376934,
0.05682988092303276,
0.038615964353084564,
0.07140985876321793,
0.04235946014523506,
-0.03403942286968231,
-0.017150498926639557,
0.02306363172829151,
0.03672114014625549,
0.01621457189321518,
-0.041065383702516556,
0.049626097083091736,
9.039599312281393e-34,
0.08965343981981277,
-0.06833910197019577,
-0.04768326133489609,
0.024923035874962807,
-0.019787609577178955,
0.004064160864800215,
-0.013826115988194942,
-0.03521755710244179,
0.04288105666637421,
0.00407992210239172,
0.00044250188511796296,
-0.002558782696723938,
0.04118074104189873,
-0.03789626061916351,
0.003698991844430566,
0.00027136184507980943,
-0.011679727584123611,
0.04387645423412323,
-0.01620129495859146,
-0.07275767624378204,
-0.017084568738937378,
0.032723236829042435,
0.0356195867061615,
0.01473169680684805,
0.03867366164922714,
0.03832579031586647,
0.03222125396132469,
-0.06358173489570618,
-0.003911163192242384,
0.00257077906280756,
-0.019661005586385727,
-0.07554817199707031,
0.009741097688674927,
-0.033650122582912445,
0.04388346150517464,
0.012371128425002098,
-0.05196896940469742,
-0.02657509781420231,
-0.03295917063951492,
0.012138321995735168,
-0.08412313461303711,
-0.056674979627132416,
0.09739568829536438,
-0.011571001261472702,
-0.030378663912415504,
-0.035310376435518265,
-0.03576706349849701,
-0.01422478910535574,
0.058104950934648514,
-0.033428072929382324,
0.045356474816799164,
-0.0758860856294632,
0.007747983559966087,
-0.06731907278299332,
0.040448613464832306,
0.05091521143913269,
0.04807194694876671,
0.019569430500268936,
-0.00047638476826250553,
0.020523956045508385,
-0.016716690734028816,
0.05285964533686638,
0.010277921333909035,
0.013799001462757587,
-0.02305128239095211,
0.032165851444005966,
-0.027650391682982445,
0.07566532492637634,
0.07572104781866074,
0.0018681427463889122,
0.022313544526696205,
0.042781561613082886,
0.05987353250384331,
-0.08850657194852829,
0.04545585811138153,
0.1543288230895996,
0.05942035838961601,
-0.06815967708826065,
0.0010689060436561704,
0.06028471887111664,
-0.026480453088879585,
-0.09471878409385681,
0.12395478039979935,
-0.0532982312142849,
-0.029549486935138702,
0.020150506868958473,
0.022622842341661453,
0.000004644379259843845,
0.034430403262376785,
-0.017402827739715576,
-0.04217896983027458,
-0.01608669012784958,
-0.0485626682639122,
-0.007506318390369415,
0.018358737230300903,
-6.423903058156063e-34,
0.004280721303075552,
0.009605443105101585,
-0.048401784151792526,
-0.010311783291399479,
-0.012982157059013844,
0.006075358018279076,
-0.10747602581977844,
0.0014860185328871012,
-0.02674988843500614,
0.009372547268867493,
-0.030785150825977325,
-0.05231623351573944,
0.06982118636369705,
0.014619406312704086,
-0.04167330637574196,
0.03862318769097328,
0.006546444725245237,
-0.008447958156466484,
0.020072827115654945,
0.09171737730503082,
0.0020323984790593386,
0.1352853626012802,
-0.11848249286413193,
0.010435361415147781,
0.02682572230696678,
-0.04425662383437157,
0.09031926840543747,
0.04361176863312721,
-0.0741683691740036,
-0.04372565075755119,
-0.09458569437265396,
-0.015451531857252121,
-0.06027114391326904,
-0.03583748638629913,
-0.12141919881105423,
0.0206497423350811,
-0.04000882804393768,
-0.12543107569217682,
-0.015258531086146832,
-0.03041645884513855,
0.06465531140565872,
0.022904034703969955,
-0.08466196805238724,
-0.03415611758828163,
-0.10720910876989365,
0.003997940104454756,
-0.1616310328245163,
0.06194636598229408,
0.055926863104104996,
0.054620444774627686,
-0.07284387946128845,
-0.043566908687353134,
-0.04398597404360771,
0.010521610267460346,
0.004985093604773283,
-0.07795602828264236,
-0.03024512343108654,
-0.023764483630657196,
-0.037482790648937225,
0.00954589806497097,
-0.040780678391456604,
0.08508455008268356,
0.005862088408321142,
-0.007315204478800297,
0.10200922191143036,
-0.05985531583428383,
0.005842605140060186,
-0.010642224922776222,
-0.010790273547172546,
-0.022021232172846794,
0.11015304177999496,
0.036974530667066574,
0.011511879041790962,
0.003739804495126009,
0.0075771561823785305,
0.06604000180959702,
0.0819912776350975,
-0.062229011207818985,
-0.010352353565394878,
-0.12322380393743515,
0.02842642553150654,
0.004335378762334585,
0.062338486313819885,
0.01833965629339218,
0.002215298591181636,
0.05729082226753235,
0.04934113100171089,
0.059532541781663895,
0.11316918581724167,
-0.012798692099750042,
-0.02241550385951996,
-0.0009554435382597148,
-0.003425203962251544,
0.10321523249149323,
0.0021978591103106737,
-3.813194027202371e-8,
-0.03685319423675537,
0.05569571629166603,
-0.09814386069774628,
0.008911948651075363,
0.007344018202275038,
-0.0030816809739917517,
-0.036898933351039886,
0.06555484980344772,
-0.022747211158275604,
-0.04521001875400543,
-0.004665169399231672,
-0.026912212371826172,
-0.019805822521448135,
-0.0771639496088028,
-0.01968204416334629,
0.010819867253303528,
0.043438591063022614,
-0.04503776133060455,
0.005389067810028791,
-0.009681649506092072,
0.052078112959861755,
-0.0020822330843657255,
0.010900466702878475,
0.03373614698648453,
0.012541580945253372,
-0.016731558367609978,
-0.04680469259619713,
0.045709192752838135,
0.04803119972348213,
-0.05942626670002937,
-0.03224143385887146,
0.02110309526324272,
-0.07975729554891586,
0.01817682385444641,
0.06057646498084068,
0.14613600075244904,
0.020642127841711044,
0.007978344336152077,
-0.023774009197950363,
-0.003736088750883937,
0.008596379309892654,
0.023367730900645256,
-0.04474770650267601,
0.04611609876155853,
0.05817437544465065,
-0.07040354609489441,
-0.04543304815888405,
-0.08070442080497742,
0.020975254476070404,
-0.02520328015089035,
-0.0035315779969096184,
-0.09035709500312805,
0.06468359380960464,
-0.023387553170323372,
0.021985994651913643,
0.01968761347234249,
-0.029628492891788483,
0.027733363211154938,
0.03165966644883156,
-0.027083374559879303,
0.0061785499565303326,
0.00642283633351326,
-0.00403036130592227,
0.04486673325300217
] |
1401.6428
|
Thomas Voice
|
Thomas Voice, Maria Polukarov, Nicholas R. Jennings
|
Coalition Structure Generation over Graphs
|
arXiv admin note: text overlap with arXiv:1102.1747
|
Journal Of Artificial Intelligence Research, Volume 45, pages
165-196, 2012
|
10.1613/jair.3715
| null |
cs.DS cs.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give the analysis of the computational complexity of coalition structure
generation over graphs. Given an undirected graph G = (N,E) and a valuation
function v : P(N) \to R over the subsets of nodes, the problem is to find a
partition of N into connected subsets, that maximises the sum of the components
values. This problem is generally NP-complete; in particular, it is hard for a
defined class of valuation functions which are independent of disconnected
members - that is, two nodes have no effect on each other's marginal
contribution to their vertex separator. Nonetheless, for all such functions we
provide bounds on the complexity of coalition structure generation over general
and minor-free graphs. Our proof is constructive and yields algorithms for
solving corresponding instances of the problem. Furthermore, we derive linear
time bounds for graphs of bounded treewidth. However, as we show, the problem
remains NP-complete for planar graphs, and hence, for any K_k minor free graphs
where k \geq 5. Moreover, a 3-SAT problem with m clauses can be represented by
a coalition structure generation problem over a planar graph with O(m^2) nodes.
Importantly, our hardness result holds for a particular subclass of valuation
functions, termed edge sum, where the value of each subset of nodes is simply
determined by the sum of given weights of the edges in the induced subgraph.
|
[
{
"created": "Thu, 23 Jan 2014 16:45:24 GMT",
"version": "v1"
}
] |
2014-01-27
|
[
[
"Voice",
"Thomas",
""
],
[
"Polukarov",
"Maria",
""
],
[
"Jennings",
"Nicholas R.",
""
]
] |
[
-0.04202575981616974,
0.052218057215213776,
-0.005877792835235596,
-0.028494803234934807,
0.06664097309112549,
-0.040649257600307465,
-0.06361382454633713,
-0.04698999226093292,
-0.01776893436908722,
0.06837451457977295,
-0.05299520865082741,
-0.039945799857378006,
0.05948583781719208,
0.027834681794047356,
0.06631956249475479,
0.0588468573987484,
0.02056814171373844,
0.02237532287836075,
-0.030127622187137604,
-0.0006492421962320805,
-0.024661187082529068,
-0.04811491072177887,
-0.026047326624393463,
-0.022186007350683212,
0.029525814577937126,
-0.04212586209177971,
0.018916333094239235,
-0.04518461599946022,
0.07448293268680573,
0.014658486470580101,
0.0036095231771469116,
0.018948685377836227,
0.039494190365076065,
0.017979620024561882,
0.009159830398857594,
0.056192539632320404,
-0.013716518878936768,
-0.001094797975383699,
0.017193477600812912,
0.08360235393047333,
0.014086723327636719,
0.051790136843919754,
0.03690754622220993,
0.005775409284979105,
-0.0021744603291153908,
0.09387260675430298,
-0.078804150223732,
0.10906733572483063,
-0.03183227404952049,
-0.04223378375172615,
-0.007734483573585749,
-0.03907380625605583,
-0.04543144255876541,
-0.0424526110291481,
-0.0007597108487971127,
-0.05465694144368172,
-0.032892607152462006,
-0.021840892732143402,
-0.05604301020503044,
0.0053972951136529446,
-0.005875434260815382,
-0.07293009012937546,
-0.018649615347385406,
-0.059360116720199585,
0.011128789745271206,
0.03479251265525818,
0.10554172098636627,
0.039781175553798676,
-0.09623825550079346,
0.07775408774614334,
0.0640411525964737,
-0.03788745403289795,
-0.09781864285469055,
0.009277370758354664,
0.026087529957294464,
0.08668001741170883,
0.13106277585029602,
-0.008109007030725479,
0.009576143696904182,
-0.049825459718704224,
-0.01008160412311554,
0.06330409646034241,
-0.053573694080114365,
0.03458263352513313,
0.043255649507045746,
-0.0346204899251461,
-0.00944921001791954,
0.017214924097061157,
0.08912485092878342,
0.1178353875875473,
-0.15346591174602509,
0.04524430260062218,
-0.027658918872475624,
0.044021666049957275,
-0.016763072460889816,
0.014733920805156231,
0.024898488074541092,
-0.005792156793177128,
0.05261284485459328,
0.0895499736070633,
-0.04915567860007286,
0.04028790816664696,
0.051907047629356384,
-0.05692592263221741,
0.015972960740327835,
0.07009527087211609,
-0.07971494644880295,
0.07598204165697098,
-0.009463551454246044,
0.007678858004510403,
0.037947457283735275,
0.0403694249689579,
0.03342593461275101,
0.00931083969771862,
-0.008569592610001564,
-0.020331846550107002,
0.004266888368874788,
-0.0566423237323761,
0.0275803804397583,
-0.005263808183372021,
0.02956864796578884,
0.01443080510944128,
0.010402652435004711,
-0.028529945760965347,
0.052358753979206085,
-0.06469514220952988,
0.026493297889828682,
1.3352991343967312e-33,
0.06833004951477051,
0.039060235023498535,
0.05355875566601753,
0.026395998895168304,
0.11962106823921204,
0.05508158728480339,
0.05492867901921272,
-0.03768181428313255,
-0.06452349573373795,
0.011717277579009533,
-0.050368983298540115,
0.02400449849665165,
0.08421322703361511,
0.00169044965878129,
0.13275274634361267,
-0.04452522471547127,
0.013819034211337566,
0.0017788555705919862,
-0.02004217728972435,
-0.051479827612638474,
0.04586474224925041,
0.002110099885612726,
0.055615976452827454,
0.023244526237249374,
0.013985244557261467,
-0.04037657380104065,
-0.005931530147790909,
-0.028737373650074005,
0.056906506419181824,
-0.022202687337994576,
-0.09445507079362869,
0.020686792209744453,
0.033152174204587936,
0.10994332283735275,
-0.029608482494950294,
0.007339283358305693,
-0.05076732859015465,
-0.06128823757171631,
-0.06736138463020325,
-0.021147042512893677,
-0.019460061565041542,
-0.007902969606220722,
0.03998589143157005,
0.0183147881180048,
-0.08706266433000565,
-0.0887531116604805,
-0.01564856432378292,
0.027682380750775337,
-0.018594130873680115,
-0.03378280624747276,
-0.013011116534471512,
-0.02477937936782837,
0.011430826969444752,
-0.024024417623877525,
-0.062210798263549805,
0.015290427953004837,
-0.019613152369856834,
0.0631614550948143,
0.01065896824002266,
0.024987347424030304,
-0.008433162234723568,
-0.0403502956032753,
0.0504009909927845,
0.01601036824285984,
-0.05574703589081764,
0.05734046921133995,
-0.13355155289173126,
-0.04930053651332855,
0.16513292491436005,
-0.08128589391708374,
-0.0222244244068861,
0.020953863859176636,
-0.022864723578095436,
-0.08147022128105164,
-0.0017204590840265155,
0.0054658884182572365,
0.04338287189602852,
-0.020326800644397736,
-0.04560371860861778,
0.03911711275577545,
-0.028973979875445366,
-0.0008264135685749352,
0.0701403096318245,
-0.015240335837006569,
0.00910404697060585,
-0.11800377070903778,
0.029297098517417908,
0.02950742468237877,
0.020922526717185974,
-0.03793457895517349,
-0.11058634519577026,
-0.01765846647322178,
0.012671263888478279,
-0.055703938007354736,
0.07676654309034348,
-1.5019400604696795e-33,
0.05640067160129547,
0.025126995518803596,
0.09381022304296494,
0.04791703447699547,
0.06140583008527756,
-0.08240405470132828,
0.003360820235684514,
-0.06275663524866104,
-0.040011435747146606,
0.0018439256818965077,
-0.06556743383407593,
-0.01952262781560421,
0.07711344212293625,
-0.05039427801966667,
-0.06379115581512451,
-0.015925657004117966,
0.006427459884434938,
0.01430870033800602,
-0.031092077493667603,
0.030722646042704582,
0.036881763488054276,
0.061568792909383774,
0.028112294152379036,
-0.004182592034339905,
0.04095497727394104,
0.009564300999045372,
-0.06524353474378586,
-0.056074488908052444,
-0.009316747076809406,
0.08575773984193802,
0.018385665491223335,
-0.0547032505273819,
-0.10259797424077988,
-0.09232795983552933,
0.05458402261137962,
0.003549209563061595,
0.03283203765749931,
0.01488464418798685,
-0.0017760716145858169,
0.0456717386841774,
0.007933657616376877,
-0.06650781631469727,
-0.020575741305947304,
0.05268758535385132,
0.009827036410570145,
0.05244472995400429,
-0.025837931782007217,
-0.041312333196401596,
-0.0783258005976677,
0.0007851859554648399,
-0.009621262550354004,
0.027329055592417717,
0.026137176901102066,
0.04154031351208687,
0.014264709316194057,
-0.031705647706985474,
-0.0675777792930603,
0.09868355095386505,
0.0692565068602562,
-0.02892371267080307,
-0.009581662714481354,
0.03790575638413429,
-0.09435038268566132,
0.03452480584383011,
0.016844771802425385,
-0.026891499757766724,
-0.045558106154203415,
-0.045791205018758774,
-0.0015790817560628057,
0.10716401785612106,
-0.06710347533226013,
0.009392141364514828,
-0.03166564926505089,
-0.005229195114225149,
-0.02028018608689308,
0.04249107092618942,
-0.008968062698841095,
0.10787404328584671,
-0.005020764656364918,
0.024404603987932205,
0.020027630031108856,
0.029399368911981583,
0.043681204319000244,
-0.008291659876704216,
-0.0152985118329525,
-0.09944901615381241,
0.11653771251440048,
0.030665917322039604,
0.024912629276514053,
0.036637526005506516,
-0.049549542367458344,
-0.03787057846784592,
0.03724723681807518,
0.05192110314965248,
-0.013665939681231976,
-4.540945397479845e-8,
-0.050827909260988235,
-0.028833935037255287,
-0.09616894274950027,
0.017586970701813698,
0.06405514478683472,
-0.0707731619477272,
0.050099097192287445,
0.04542838782072067,
-0.01754746586084366,
0.11249148845672607,
0.10330516844987869,
0.012519650161266327,
-0.026775265112519264,
0.015784064307808876,
-0.053548578172922134,
-0.04754262417554855,
-0.04352082312107086,
-0.0797995775938034,
-0.018778102472424507,
-0.03670729324221611,
-0.09568963944911957,
-0.055063553154468536,
-0.05171490088105202,
0.06876618415117264,
0.026188908144831657,
-0.032804347574710846,
-0.03902364894747734,
-0.0766545981168747,
-0.0017497780499979854,
0.009138254448771477,
-0.061002399772405624,
0.03955261781811714,
0.028752969577908516,
-0.0016276042442768812,
0.028404701501131058,
0.03724495321512222,
-0.0883404091000557,
0.015500360168516636,
0.03547653928399086,
0.007898595184087753,
0.028708990663290024,
0.11095462739467621,
-0.055136315524578094,
0.00253621325828135,
0.04864944890141487,
-0.04774787649512291,
-0.023928966373205185,
0.019513975828886032,
-0.041043203324079514,
-0.08797533065080643,
-0.022524196654558182,
0.020201461389660835,
-0.047334399074316025,
-0.07165100425481796,
0.0064785657450556755,
0.04561789333820343,
-0.013422434218227863,
-0.04731351137161255,
0.11991579830646515,
-0.065808966755867,
-0.020140524953603745,
-0.011961390264332294,
0.018510468304157257,
-0.05225488543510437
] | null | null | null | null | null | null | null |
[
-0.04202575981616974,
0.052218057215213776,
-0.005877792835235596,
-0.028494803234934807,
0.06664097309112549,
-0.040649257600307465,
-0.06361382454633713,
-0.04698999226093292,
-0.01776893436908722,
0.06837451457977295,
-0.05299520865082741,
-0.039945799857378006,
0.05948583781719208,
0.027834681794047356,
0.06631956249475479,
0.0588468573987484,
0.02056814171373844,
0.02237532287836075,
-0.030127622187137604,
-0.0006492421962320805,
-0.024661187082529068,
-0.04811491072177887,
-0.026047326624393463,
-0.022186007350683212,
0.029525814577937126,
-0.04212586209177971,
0.018916333094239235,
-0.04518461599946022,
0.07448293268680573,
0.014658486470580101,
0.0036095231771469116,
0.018948685377836227,
0.039494190365076065,
0.017979620024561882,
0.009159830398857594,
0.056192539632320404,
-0.013716518878936768,
-0.001094797975383699,
0.017193477600812912,
0.08360235393047333,
0.014086723327636719,
0.051790136843919754,
0.03690754622220993,
0.005775409284979105,
-0.0021744603291153908,
0.09387260675430298,
-0.078804150223732,
0.10906733572483063,
-0.03183227404952049,
-0.04223378375172615,
-0.007734483573585749,
-0.03907380625605583,
-0.04543144255876541,
-0.0424526110291481,
-0.0007597108487971127,
-0.05465694144368172,
-0.032892607152462006,
-0.021840892732143402,
-0.05604301020503044,
0.0053972951136529446,
-0.005875434260815382,
-0.07293009012937546,
-0.018649615347385406,
-0.059360116720199585,
0.011128789745271206,
0.03479251265525818,
0.10554172098636627,
0.039781175553798676,
-0.09623825550079346,
0.07775408774614334,
0.0640411525964737,
-0.03788745403289795,
-0.09781864285469055,
0.009277370758354664,
0.026087529957294464,
0.08668001741170883,
0.13106277585029602,
-0.008109007030725479,
0.009576143696904182,
-0.049825459718704224,
-0.01008160412311554,
0.06330409646034241,
-0.053573694080114365,
0.03458263352513313,
0.043255649507045746,
-0.0346204899251461,
-0.00944921001791954,
0.017214924097061157,
0.08912485092878342,
0.1178353875875473,
-0.15346591174602509,
0.04524430260062218,
-0.027658918872475624,
0.044021666049957275,
-0.016763072460889816,
0.014733920805156231,
0.024898488074541092,
-0.005792156793177128,
0.05261284485459328,
0.0895499736070633,
-0.04915567860007286,
0.04028790816664696,
0.051907047629356384,
-0.05692592263221741,
0.015972960740327835,
0.07009527087211609,
-0.07971494644880295,
0.07598204165697098,
-0.009463551454246044,
0.007678858004510403,
0.037947457283735275,
0.0403694249689579,
0.03342593461275101,
0.00931083969771862,
-0.008569592610001564,
-0.020331846550107002,
0.004266888368874788,
-0.0566423237323761,
0.0275803804397583,
-0.005263808183372021,
0.02956864796578884,
0.01443080510944128,
0.010402652435004711,
-0.028529945760965347,
0.052358753979206085,
-0.06469514220952988,
0.026493297889828682,
1.3352991343967312e-33,
0.06833004951477051,
0.039060235023498535,
0.05355875566601753,
0.026395998895168304,
0.11962106823921204,
0.05508158728480339,
0.05492867901921272,
-0.03768181428313255,
-0.06452349573373795,
0.011717277579009533,
-0.050368983298540115,
0.02400449849665165,
0.08421322703361511,
0.00169044965878129,
0.13275274634361267,
-0.04452522471547127,
0.013819034211337566,
0.0017788555705919862,
-0.02004217728972435,
-0.051479827612638474,
0.04586474224925041,
0.002110099885612726,
0.055615976452827454,
0.023244526237249374,
0.013985244557261467,
-0.04037657380104065,
-0.005931530147790909,
-0.028737373650074005,
0.056906506419181824,
-0.022202687337994576,
-0.09445507079362869,
0.020686792209744453,
0.033152174204587936,
0.10994332283735275,
-0.029608482494950294,
0.007339283358305693,
-0.05076732859015465,
-0.06128823757171631,
-0.06736138463020325,
-0.021147042512893677,
-0.019460061565041542,
-0.007902969606220722,
0.03998589143157005,
0.0183147881180048,
-0.08706266433000565,
-0.0887531116604805,
-0.01564856432378292,
0.027682380750775337,
-0.018594130873680115,
-0.03378280624747276,
-0.013011116534471512,
-0.02477937936782837,
0.011430826969444752,
-0.024024417623877525,
-0.062210798263549805,
0.015290427953004837,
-0.019613152369856834,
0.0631614550948143,
0.01065896824002266,
0.024987347424030304,
-0.008433162234723568,
-0.0403502956032753,
0.0504009909927845,
0.01601036824285984,
-0.05574703589081764,
0.05734046921133995,
-0.13355155289173126,
-0.04930053651332855,
0.16513292491436005,
-0.08128589391708374,
-0.0222244244068861,
0.020953863859176636,
-0.022864723578095436,
-0.08147022128105164,
-0.0017204590840265155,
0.0054658884182572365,
0.04338287189602852,
-0.020326800644397736,
-0.04560371860861778,
0.03911711275577545,
-0.028973979875445366,
-0.0008264135685749352,
0.0701403096318245,
-0.015240335837006569,
0.00910404697060585,
-0.11800377070903778,
0.029297098517417908,
0.02950742468237877,
0.020922526717185974,
-0.03793457895517349,
-0.11058634519577026,
-0.01765846647322178,
0.012671263888478279,
-0.055703938007354736,
0.07676654309034348,
-1.5019400604696795e-33,
0.05640067160129547,
0.025126995518803596,
0.09381022304296494,
0.04791703447699547,
0.06140583008527756,
-0.08240405470132828,
0.003360820235684514,
-0.06275663524866104,
-0.040011435747146606,
0.0018439256818965077,
-0.06556743383407593,
-0.01952262781560421,
0.07711344212293625,
-0.05039427801966667,
-0.06379115581512451,
-0.015925657004117966,
0.006427459884434938,
0.01430870033800602,
-0.031092077493667603,
0.030722646042704582,
0.036881763488054276,
0.061568792909383774,
0.028112294152379036,
-0.004182592034339905,
0.04095497727394104,
0.009564300999045372,
-0.06524353474378586,
-0.056074488908052444,
-0.009316747076809406,
0.08575773984193802,
0.018385665491223335,
-0.0547032505273819,
-0.10259797424077988,
-0.09232795983552933,
0.05458402261137962,
0.003549209563061595,
0.03283203765749931,
0.01488464418798685,
-0.0017760716145858169,
0.0456717386841774,
0.007933657616376877,
-0.06650781631469727,
-0.020575741305947304,
0.05268758535385132,
0.009827036410570145,
0.05244472995400429,
-0.025837931782007217,
-0.041312333196401596,
-0.0783258005976677,
0.0007851859554648399,
-0.009621262550354004,
0.027329055592417717,
0.026137176901102066,
0.04154031351208687,
0.014264709316194057,
-0.031705647706985474,
-0.0675777792930603,
0.09868355095386505,
0.0692565068602562,
-0.02892371267080307,
-0.009581662714481354,
0.03790575638413429,
-0.09435038268566132,
0.03452480584383011,
0.016844771802425385,
-0.026891499757766724,
-0.045558106154203415,
-0.045791205018758774,
-0.0015790817560628057,
0.10716401785612106,
-0.06710347533226013,
0.009392141364514828,
-0.03166564926505089,
-0.005229195114225149,
-0.02028018608689308,
0.04249107092618942,
-0.008968062698841095,
0.10787404328584671,
-0.005020764656364918,
0.024404603987932205,
0.020027630031108856,
0.029399368911981583,
0.043681204319000244,
-0.008291659876704216,
-0.0152985118329525,
-0.09944901615381241,
0.11653771251440048,
0.030665917322039604,
0.024912629276514053,
0.036637526005506516,
-0.049549542367458344,
-0.03787057846784592,
0.03724723681807518,
0.05192110314965248,
-0.013665939681231976,
-4.540945397479845e-8,
-0.050827909260988235,
-0.028833935037255287,
-0.09616894274950027,
0.017586970701813698,
0.06405514478683472,
-0.0707731619477272,
0.050099097192287445,
0.04542838782072067,
-0.01754746586084366,
0.11249148845672607,
0.10330516844987869,
0.012519650161266327,
-0.026775265112519264,
0.015784064307808876,
-0.053548578172922134,
-0.04754262417554855,
-0.04352082312107086,
-0.0797995775938034,
-0.018778102472424507,
-0.03670729324221611,
-0.09568963944911957,
-0.055063553154468536,
-0.05171490088105202,
0.06876618415117264,
0.026188908144831657,
-0.032804347574710846,
-0.03902364894747734,
-0.0766545981168747,
-0.0017497780499979854,
0.009138254448771477,
-0.061002399772405624,
0.03955261781811714,
0.028752969577908516,
-0.0016276042442768812,
0.028404701501131058,
0.03724495321512222,
-0.0883404091000557,
0.015500360168516636,
0.03547653928399086,
0.007898595184087753,
0.028708990663290024,
0.11095462739467621,
-0.055136315524578094,
0.00253621325828135,
0.04864944890141487,
-0.04774787649512291,
-0.023928966373205185,
0.019513975828886032,
-0.041043203324079514,
-0.08797533065080643,
-0.022524196654558182,
0.020201461389660835,
-0.047334399074316025,
-0.07165100425481796,
0.0064785657450556755,
0.04561789333820343,
-0.013422434218227863,
-0.04731351137161255,
0.11991579830646515,
-0.065808966755867,
-0.020140524953603745,
-0.011961390264332294,
0.018510468304157257,
-0.05225488543510437
] |
1401.6432
|
Nir Elkayam
|
Nir Elkayam and Meir Feder
|
A Universal Decoder Relative to a Given Family of Metrics
|
Accepted to ISIT 2014
| null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Consider the following framework of universal decoding suggested in
[MerhavUniversal]. Given a family of decoding metrics and random coding
distribution (prior), a single, universal, decoder is optimal if for any
possible channel the average error probability when using this decoder is
better than the error probability attained by the best decoder in the family up
to a subexponential multiplicative factor. We describe a general universal
decoder in this framework. The penalty for using this universal decoder is
computed. The universal metric is constructed as follows. For each metric, a
canonical metric is defined and conditions for the given prior to be normal are
given. A sub-exponential set of canonical metrics of normal prior can be merged
to a single universal optimal metric. We provide an example where this decoder
is optimal while the decoder of [MerhavUniversal] is not.
|
[
{
"created": "Fri, 24 Jan 2014 19:35:55 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Feb 2014 19:53:50 GMT",
"version": "v2"
},
{
"created": "Sun, 27 Apr 2014 18:11:15 GMT",
"version": "v3"
}
] |
2014-04-29
|
[
[
"Elkayam",
"Nir",
""
],
[
"Feder",
"Meir",
""
]
] |
[
-0.00686791492626071,
-0.0889660120010376,
0.029307210817933083,
-0.0950247123837471,
0.014509294182062149,
0.018477942794561386,
0.0017170504434034228,
0.00107959087472409,
0.08871939778327942,
0.009961729869246483,
0.04103332385420799,
-0.0013146803248673677,
0.021867716684937477,
0.025639019906520844,
-0.020879583433270454,
-0.06391392648220062,
0.023584775626659393,
0.07235049456357956,
-0.09458687901496887,
0.009230446070432663,
0.04638073220849037,
0.07263730466365814,
0.04615616798400879,
-0.005935972090810537,
0.03346289321780205,
-0.05200043320655823,
-0.0104517238214612,
0.021806959062814713,
0.07622529566287994,
0.030888045206665993,
0.046872928738594055,
-0.01915307715535164,
0.07493265718221664,
0.01782746985554695,
0.007434519939124584,
0.01763582043349743,
-0.05465251952409744,
-0.04289557412266731,
-0.0763440653681755,
0.04476429522037506,
-0.01916162669658661,
0.05246337130665779,
-0.03658133000135422,
0.03940058872103691,
-0.042262427508831024,
0.01617411896586418,
0.014910129830241203,
-0.019072581082582474,
0.02714003250002861,
-0.0065089003182947636,
0.024232318624854088,
0.13164354860782623,
-0.025212958455085754,
0.02089817076921463,
0.06515035778284073,
-0.053758859634399414,
-0.06318557262420654,
-0.08210241794586182,
-0.004321143962442875,
-0.026518231257796288,
-0.09372186660766602,
-0.02031116746366024,
-0.026135971769690514,
-0.017538176849484444,
0.0957552120089531,
0.006216734182089567,
0.035412415862083435,
0.011678026057779789,
-0.02170298807322979,
0.08446654677391052,
-0.13575077056884766,
0.007045349571853876,
-0.03675764054059982,
0.09935976564884186,
0.01836760900914669,
0.02832910045981407,
0.012079630978405476,
-0.01200664509087801,
-0.03704921901226044,
-0.01592203602194786,
0.050273347645998,
0.006493109278380871,
0.045675069093704224,
-0.0023079426027834415,
0.11795996129512787,
0.014438118785619736,
0.019060004502534866,
0.029317298904061317,
0.08312316983938217,
0.022868795320391655,
-0.11750376969575882,
-0.14671050012111664,
0.021605871617794037,
0.027724239975214005,
-0.04498853534460068,
-0.0631808266043663,
0.003961208276450634,
0.002447939245030284,
0.049132175743579865,
0.0545249879360199,
0.03701557591557503,
-0.050387341529130936,
-0.0034253932535648346,
-0.06652627140283585,
0.04995046928524971,
-0.010337352752685547,
0.025457391515374184,
0.11685429513454437,
0.07276374101638794,
-0.03346366062760353,
0.006377031095325947,
-0.05735555663704872,
0.02015894465148449,
0.00559961935505271,
-0.022289307788014412,
0.019158823415637016,
0.06927167624235153,
0.04499467834830284,
-0.0024658271577209234,
-0.033374056220054626,
-0.022730974480509758,
-0.008408264257013798,
0.06156076863408089,
0.01209805067628622,
0.002560574794188142,
-0.001803871477022767,
0.02148611471056938,
3.814598921905313e-33,
0.005417771637439728,
0.03626500442624092,
-0.003466142574325204,
-0.0048476289957761765,
-0.04363831505179405,
0.13173454999923706,
-0.07006902247667313,
0.0012714624172076583,
0.015415851958096027,
0.039108194410800934,
0.006040955428034067,
0.0009871699148789048,
-0.06032921373844147,
0.012738630175590515,
0.032484352588653564,
0.05017218366265297,
-0.05038584768772125,
0.04037853330373764,
0.037868693470954895,
-0.04572088271379471,
0.043776798993349075,
0.025999046862125397,
-0.03515058755874634,
-0.07144711166620255,
-0.008336314000189304,
0.005858134478330612,
0.007497739512473345,
-0.08294588327407837,
-0.023077232763171196,
0.006684388965368271,
-0.1307477056980133,
-0.03345160558819771,
-0.01041638758033514,
-0.04815793037414551,
0.021158168092370033,
-0.07525749504566193,
0.03430510684847832,
0.019102219492197037,
-0.10179847478866577,
-0.07739197462797165,
0.005847705528140068,
0.0285030584782362,
-0.05003976449370384,
-0.06611396372318268,
-0.0438138023018837,
-0.10553458333015442,
0.02441808208823204,
-0.01147577352821827,
0.029804110527038574,
-0.10517475008964539,
0.06549123674631119,
-0.04202466085553169,
-0.03988577425479889,
-0.05340443179011345,
0.00942261889576912,
-0.030814776197075844,
0.002840550383552909,
-0.0017409749561920762,
0.03247739002108574,
0.09607968479394913,
-0.011127795092761517,
0.004216955043375492,
0.021393559873104095,
-0.002116507152095437,
0.06013498827815056,
0.03364081308245659,
-0.040398892015218735,
-0.02982005849480629,
0.02129756286740303,
-0.013899972662329674,
-0.02906103804707527,
-0.025342179462313652,
0.004738395102322102,
-0.0007000139448791742,
0.03448251634836197,
0.04882870987057686,
0.05282660946249962,
-0.017339985817670822,
0.010682979598641396,
0.00013406618381850421,
-0.11467236280441284,
0.004309300798922777,
-0.057260505855083466,
0.049485426396131516,
-0.03887196630239487,
0.0638957992196083,
0.0051834858022630215,
-0.06275944411754608,
-0.09119568765163422,
-0.013260084204375744,
-0.04091164097189903,
-0.038686636835336685,
-0.019155213609337807,
-0.03907722234725952,
-0.057057369500398636,
-4.1228767235122735e-33,
-0.09582530707120895,
0.05583404004573822,
-0.013808757066726685,
0.07886290550231934,
-0.0016143794637173414,
-0.10987160354852676,
-0.011287118308246136,
0.04781261831521988,
-0.05417237430810928,
-0.04355379194021225,
-0.026302624493837357,
-0.015408032573759556,
0.0675249993801117,
0.022939270362257957,
0.06565336883068085,
0.07326797395944595,
0.03867490589618683,
0.012957471422851086,
0.01309363916516304,
0.016563832759857178,
0.10304120928049088,
0.0592748187482357,
-0.10349436849355698,
0.005553193390369415,
0.0856819674372673,
0.0843382403254509,
-0.058381013572216034,
0.13143624365329742,
0.025767328217625618,
-0.07434340566396713,
-0.08061780780553818,
0.01054872665554285,
-0.03901653364300728,
-0.004231458064168692,
-0.08305096626281738,
0.019478484988212585,
0.0383988693356514,
0.12224160134792328,
-0.11845310032367706,
0.09127382934093475,
-0.01157368440181017,
0.0023523177951574326,
-0.045650631189346313,
0.024706406518816948,
0.0729038342833519,
-0.07198639959096909,
-0.02153805084526539,
-0.06572934985160828,
-0.0017092219786718488,
-0.0013358255382627249,
0.02285705879330635,
0.036682650446891785,
-0.00150949542876333,
0.020189359784126282,
-0.07452905923128128,
0.03610067069530487,
-0.01860523410141468,
-0.0156632661819458,
0.04983799159526825,
0.02914271503686905,
0.0497518815100193,
-0.0026508173905313015,
0.0007490500574931502,
0.03222012147307396,
0.025392280891537666,
-0.008869514800608158,
0.029499243944883347,
-0.02201969176530838,
-0.0597711019217968,
-0.06193714216351509,
0.026113415136933327,
-0.06673578917980194,
-0.06385352462530136,
-0.0033951452933251858,
0.07490711659193039,
0.04391711205244064,
0.054118700325489044,
0.04439244046807289,
0.007231615483760834,
0.08127738535404205,
-0.03182847052812576,
0.04934004694223404,
0.030058758333325386,
0.054078225046396255,
0.05018911510705948,
0.0005383083480410278,
0.1038566380739212,
-0.0702572762966156,
0.011024873703718185,
-0.05445082485675812,
-0.021008968353271484,
0.043742597103118896,
0.009884417988359928,
0.049585528671741486,
-0.05315418168902397,
-4.343847948007351e-8,
-0.07717142254114151,
-0.020504692569375038,
-0.07853302359580994,
-0.05426142364740372,
0.06555810570716858,
-0.048105187714099884,
-0.09256625175476074,
0.011001513339579105,
-0.06521035730838776,
-0.08262722194194794,
0.07499607652425766,
0.028375497087836266,
-0.09338247776031494,
-0.0009560625185258687,
-0.034262239933013916,
0.0387873649597168,
-0.03960670903325081,
-0.04319263994693756,
-0.039303623139858246,
0.06912320852279663,
0.04237214848399162,
0.06393615901470184,
-0.03468483313918114,
-0.008715334348380566,
-0.06359130889177322,
-0.04570140689611435,
0.06959966570138931,
0.000874050660058856,
-0.004276646766811609,
0.02372436597943306,
-0.030205674469470978,
0.04248768836259842,
0.04943817853927612,
0.01707392930984497,
-0.09906374663114548,
-0.038185421377420425,
-0.05838949605822563,
-0.04978879168629646,
-0.018261393532156944,
0.009608550928533077,
0.09259974956512451,
-0.033978741616010666,
-0.041813306510448456,
0.02141452021896839,
0.022966207936406136,
0.0627063736319542,
0.04752519726753235,
-0.019549762830138206,
-0.01563563384115696,
0.03103696182370186,
0.07248283922672272,
0.012057323940098286,
-0.009888489730656147,
0.012167861685156822,
0.07424843311309814,
-0.021780788898468018,
0.06376121938228607,
-0.0897068902850151,
-0.025622503831982613,
-0.038798607885837555,
0.040389880537986755,
0.10405571758747101,
-0.007660076022148132,
-0.019805893301963806
] | null | null | null | null | null | null | null |
[
-0.00686791492626071,
-0.0889660120010376,
0.029307210817933083,
-0.0950247123837471,
0.014509294182062149,
0.018477942794561386,
0.0017170504434034228,
0.00107959087472409,
0.08871939778327942,
0.009961729869246483,
0.04103332385420799,
-0.0013146803248673677,
0.021867716684937477,
0.025639019906520844,
-0.020879583433270454,
-0.06391392648220062,
0.023584775626659393,
0.07235049456357956,
-0.09458687901496887,
0.009230446070432663,
0.04638073220849037,
0.07263730466365814,
0.04615616798400879,
-0.005935972090810537,
0.03346289321780205,
-0.05200043320655823,
-0.0104517238214612,
0.021806959062814713,
0.07622529566287994,
0.030888045206665993,
0.046872928738594055,
-0.01915307715535164,
0.07493265718221664,
0.01782746985554695,
0.007434519939124584,
0.01763582043349743,
-0.05465251952409744,
-0.04289557412266731,
-0.0763440653681755,
0.04476429522037506,
-0.01916162669658661,
0.05246337130665779,
-0.03658133000135422,
0.03940058872103691,
-0.042262427508831024,
0.01617411896586418,
0.014910129830241203,
-0.019072581082582474,
0.02714003250002861,
-0.0065089003182947636,
0.024232318624854088,
0.13164354860782623,
-0.025212958455085754,
0.02089817076921463,
0.06515035778284073,
-0.053758859634399414,
-0.06318557262420654,
-0.08210241794586182,
-0.004321143962442875,
-0.026518231257796288,
-0.09372186660766602,
-0.02031116746366024,
-0.026135971769690514,
-0.017538176849484444,
0.0957552120089531,
0.006216734182089567,
0.035412415862083435,
0.011678026057779789,
-0.02170298807322979,
0.08446654677391052,
-0.13575077056884766,
0.007045349571853876,
-0.03675764054059982,
0.09935976564884186,
0.01836760900914669,
0.02832910045981407,
0.012079630978405476,
-0.01200664509087801,
-0.03704921901226044,
-0.01592203602194786,
0.050273347645998,
0.006493109278380871,
0.045675069093704224,
-0.0023079426027834415,
0.11795996129512787,
0.014438118785619736,
0.019060004502534866,
0.029317298904061317,
0.08312316983938217,
0.022868795320391655,
-0.11750376969575882,
-0.14671050012111664,
0.021605871617794037,
0.027724239975214005,
-0.04498853534460068,
-0.0631808266043663,
0.003961208276450634,
0.002447939245030284,
0.049132175743579865,
0.0545249879360199,
0.03701557591557503,
-0.050387341529130936,
-0.0034253932535648346,
-0.06652627140283585,
0.04995046928524971,
-0.010337352752685547,
0.025457391515374184,
0.11685429513454437,
0.07276374101638794,
-0.03346366062760353,
0.006377031095325947,
-0.05735555663704872,
0.02015894465148449,
0.00559961935505271,
-0.022289307788014412,
0.019158823415637016,
0.06927167624235153,
0.04499467834830284,
-0.0024658271577209234,
-0.033374056220054626,
-0.022730974480509758,
-0.008408264257013798,
0.06156076863408089,
0.01209805067628622,
0.002560574794188142,
-0.001803871477022767,
0.02148611471056938,
3.814598921905313e-33,
0.005417771637439728,
0.03626500442624092,
-0.003466142574325204,
-0.0048476289957761765,
-0.04363831505179405,
0.13173454999923706,
-0.07006902247667313,
0.0012714624172076583,
0.015415851958096027,
0.039108194410800934,
0.006040955428034067,
0.0009871699148789048,
-0.06032921373844147,
0.012738630175590515,
0.032484352588653564,
0.05017218366265297,
-0.05038584768772125,
0.04037853330373764,
0.037868693470954895,
-0.04572088271379471,
0.043776798993349075,
0.025999046862125397,
-0.03515058755874634,
-0.07144711166620255,
-0.008336314000189304,
0.005858134478330612,
0.007497739512473345,
-0.08294588327407837,
-0.023077232763171196,
0.006684388965368271,
-0.1307477056980133,
-0.03345160558819771,
-0.01041638758033514,
-0.04815793037414551,
0.021158168092370033,
-0.07525749504566193,
0.03430510684847832,
0.019102219492197037,
-0.10179847478866577,
-0.07739197462797165,
0.005847705528140068,
0.0285030584782362,
-0.05003976449370384,
-0.06611396372318268,
-0.0438138023018837,
-0.10553458333015442,
0.02441808208823204,
-0.01147577352821827,
0.029804110527038574,
-0.10517475008964539,
0.06549123674631119,
-0.04202466085553169,
-0.03988577425479889,
-0.05340443179011345,
0.00942261889576912,
-0.030814776197075844,
0.002840550383552909,
-0.0017409749561920762,
0.03247739002108574,
0.09607968479394913,
-0.011127795092761517,
0.004216955043375492,
0.021393559873104095,
-0.002116507152095437,
0.06013498827815056,
0.03364081308245659,
-0.040398892015218735,
-0.02982005849480629,
0.02129756286740303,
-0.013899972662329674,
-0.02906103804707527,
-0.025342179462313652,
0.004738395102322102,
-0.0007000139448791742,
0.03448251634836197,
0.04882870987057686,
0.05282660946249962,
-0.017339985817670822,
0.010682979598641396,
0.00013406618381850421,
-0.11467236280441284,
0.004309300798922777,
-0.057260505855083466,
0.049485426396131516,
-0.03887196630239487,
0.0638957992196083,
0.0051834858022630215,
-0.06275944411754608,
-0.09119568765163422,
-0.013260084204375744,
-0.04091164097189903,
-0.038686636835336685,
-0.019155213609337807,
-0.03907722234725952,
-0.057057369500398636,
-4.1228767235122735e-33,
-0.09582530707120895,
0.05583404004573822,
-0.013808757066726685,
0.07886290550231934,
-0.0016143794637173414,
-0.10987160354852676,
-0.011287118308246136,
0.04781261831521988,
-0.05417237430810928,
-0.04355379194021225,
-0.026302624493837357,
-0.015408032573759556,
0.0675249993801117,
0.022939270362257957,
0.06565336883068085,
0.07326797395944595,
0.03867490589618683,
0.012957471422851086,
0.01309363916516304,
0.016563832759857178,
0.10304120928049088,
0.0592748187482357,
-0.10349436849355698,
0.005553193390369415,
0.0856819674372673,
0.0843382403254509,
-0.058381013572216034,
0.13143624365329742,
0.025767328217625618,
-0.07434340566396713,
-0.08061780780553818,
0.01054872665554285,
-0.03901653364300728,
-0.004231458064168692,
-0.08305096626281738,
0.019478484988212585,
0.0383988693356514,
0.12224160134792328,
-0.11845310032367706,
0.09127382934093475,
-0.01157368440181017,
0.0023523177951574326,
-0.045650631189346313,
0.024706406518816948,
0.0729038342833519,
-0.07198639959096909,
-0.02153805084526539,
-0.06572934985160828,
-0.0017092219786718488,
-0.0013358255382627249,
0.02285705879330635,
0.036682650446891785,
-0.00150949542876333,
0.020189359784126282,
-0.07452905923128128,
0.03610067069530487,
-0.01860523410141468,
-0.0156632661819458,
0.04983799159526825,
0.02914271503686905,
0.0497518815100193,
-0.0026508173905313015,
0.0007490500574931502,
0.03222012147307396,
0.025392280891537666,
-0.008869514800608158,
0.029499243944883347,
-0.02201969176530838,
-0.0597711019217968,
-0.06193714216351509,
0.026113415136933327,
-0.06673578917980194,
-0.06385352462530136,
-0.0033951452933251858,
0.07490711659193039,
0.04391711205244064,
0.054118700325489044,
0.04439244046807289,
0.007231615483760834,
0.08127738535404205,
-0.03182847052812576,
0.04934004694223404,
0.030058758333325386,
0.054078225046396255,
0.05018911510705948,
0.0005383083480410278,
0.1038566380739212,
-0.0702572762966156,
0.011024873703718185,
-0.05445082485675812,
-0.021008968353271484,
0.043742597103118896,
0.009884417988359928,
0.049585528671741486,
-0.05315418168902397,
-4.343847948007351e-8,
-0.07717142254114151,
-0.020504692569375038,
-0.07853302359580994,
-0.05426142364740372,
0.06555810570716858,
-0.048105187714099884,
-0.09256625175476074,
0.011001513339579105,
-0.06521035730838776,
-0.08262722194194794,
0.07499607652425766,
0.028375497087836266,
-0.09338247776031494,
-0.0009560625185258687,
-0.034262239933013916,
0.0387873649597168,
-0.03960670903325081,
-0.04319263994693756,
-0.039303623139858246,
0.06912320852279663,
0.04237214848399162,
0.06393615901470184,
-0.03468483313918114,
-0.008715334348380566,
-0.06359130889177322,
-0.04570140689611435,
0.06959966570138931,
0.000874050660058856,
-0.004276646766811609,
0.02372436597943306,
-0.030205674469470978,
0.04248768836259842,
0.04943817853927612,
0.01707392930984497,
-0.09906374663114548,
-0.038185421377420425,
-0.05838949605822563,
-0.04978879168629646,
-0.018261393532156944,
0.009608550928533077,
0.09259974956512451,
-0.033978741616010666,
-0.041813306510448456,
0.02141452021896839,
0.022966207936406136,
0.0627063736319542,
0.04752519726753235,
-0.019549762830138206,
-0.01563563384115696,
0.03103696182370186,
0.07248283922672272,
0.012057323940098286,
-0.009888489730656147,
0.012167861685156822,
0.07424843311309814,
-0.021780788898468018,
0.06376121938228607,
-0.0897068902850151,
-0.025622503831982613,
-0.038798607885837555,
0.040389880537986755,
0.10405571758747101,
-0.007660076022148132,
-0.019805893301963806
] |
1401.6437
|
Elsayed Ahmed
|
Elsayed Ahmed, and Ahmed M. Eltawil
|
On Phase Noise Suppression in Full-Duplex Systems
|
Published in IEEE transactions on wireless communications on
October-2014. Please refer to the IEEE version for the most updated document
| null |
10.1109/TWC.2014.2365536
| null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Oscillator phase noise has been shown to be one of the main performance
limiting factors in full-duplex systems. In this paper, we consider the problem
of self-interference cancellation with phase noise suppression in full-duplex
systems. The feasibility of performing phase noise suppression in full-duplex
systems in terms of both complexity and achieved gain is analytically and
experimentally investigated. First, the effect of phase noise on full-duplex
systems and the possibility of performing phase noise suppression are studied.
Two different phase noise suppression techniques with a detailed complexity
analysis are then proposed. For each suppression technique, both free-running
and phase locked loop based oscillators are considered. Due to the fact that
full-duplex system performance highly depends on hardware impairments,
experimental analysis is essential for reliable results. In this paper, the
performance of the proposed techniques is experimentally investigated in a
typical indoor environment. The experimental results are shown to confirm the
results obtained from numerical simulations on two different experimental
research platforms. At the end, the tradeoff between the required complexity
and the gain achieved using phase noise suppression is discussed.
|
[
{
"created": "Fri, 24 Jan 2014 19:52:27 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Oct 2014 17:54:47 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Nov 2014 18:57:26 GMT",
"version": "v3"
}
] |
2014-11-07
|
[
[
"Ahmed",
"Elsayed",
""
],
[
"Eltawil",
"Ahmed M.",
""
]
] |
[
0.03251319378614426,
0.09467088431119919,
0.00006487864447990432,
0.03546179085969925,
-0.12444484233856201,
-0.0652913898229599,
0.012303966097533703,
-0.1205645203590393,
0.030146131291985512,
-0.0864182859659195,
-0.007780380081385374,
0.060043271631002426,
0.05943675339221954,
-0.13414958119392395,
-0.026498869061470032,
0.0075638918206095695,
0.060373611748218536,
0.04464893043041229,
0.018039684742689133,
0.05845330283045769,
0.0288076288998127,
0.0000140129413921386,
-0.04956996813416481,
0.030062543228268623,
0.06275660544633865,
-0.03831389173865318,
0.04755820333957672,
-0.01669793389737606,
0.03383670374751091,
-0.03143366053700447,
0.015921028330922127,
-0.03896583989262581,
0.05635097250342369,
-0.03893396258354187,
0.04062310978770256,
-0.10993850976228714,
0.11585697531700134,
0.01174284890294075,
0.08871907740831375,
0.05260803550481796,
-0.0032165825832635164,
0.04685833305120468,
0.09830185770988464,
0.016843944787979126,
-0.05550874397158623,
-0.0025427660439163446,
-0.003168546361848712,
-0.07380787283182144,
0.0018626811215654016,
-0.05868677422404289,
0.020228007808327675,
0.04697737470269203,
-0.03278442099690437,
0.019056547433137894,
0.07482507824897766,
0.0022594579495489597,
-0.023284265771508217,
0.059913333505392075,
-0.006879209075123072,
0.070091113448143,
0.008459120988845825,
0.016693701967597008,
0.0046548196114599705,
0.01371378730982542,
-0.014061950147151947,
0.00793248601257801,
-0.040414322167634964,
0.05935729295015335,
0.06386363506317139,
-0.007459088694304228,
-0.048543501645326614,
-0.048912063241004944,
0.09119987487792969,
0.0332295261323452,
0.117879718542099,
-0.006540435366332531,
-0.10372904688119888,
-0.026552455499768257,
0.011566296219825745,
0.11759606003761292,
-0.04201579466462135,
-0.14546231925487518,
0.0045130690559744835,
-0.07119280844926834,
0.0030380231328308582,
-0.06064838916063309,
0.006812076549977064,
0.004502991680055857,
-0.001549544627778232,
-0.07984085381031036,
-0.10671385377645493,
-0.005784447770565748,
-0.017689239233732224,
-0.011137161403894424,
0.05636454001069069,
0.03214975818991661,
0.04438792169094086,
0.008798221126198769,
0.05651406943798065,
-0.003132122103124857,
0.08993233740329742,
-0.04821527376770973,
0.034351930022239685,
-0.006869717035442591,
-0.03267572075128555,
0.039627667516469955,
0.060580119490623474,
0.020064348354935646,
-0.08636942505836487,
-0.04220537096261978,
-0.05284162610769272,
0.048261117190122604,
-0.00205974280834198,
0.030872711911797523,
0.012088745832443237,
0.087531179189682,
0.06432206183671951,
0.06871458142995834,
0.08517982065677643,
-0.07570943236351013,
-0.02144448831677437,
-0.12852999567985535,
0.07647298276424408,
0.015451239421963692,
0.08077023923397064,
0.013977267779409885,
-0.07535281777381897,
3.801307754217359e-33,
-0.12411404401063919,
0.032053858041763306,
-0.053268902003765106,
-0.017331304028630257,
0.002899352926760912,
-0.003338616108521819,
-0.04309617355465889,
-0.006799585651606321,
0.06122569739818573,
0.10695226490497589,
0.057063281536102295,
-0.05545980855822563,
-0.028087837621569633,
-0.01825965940952301,
0.06837427616119385,
-0.025248093530535698,
0.07348790764808655,
0.005469726864248514,
0.009222602471709251,
0.03552461043000221,
0.11863234639167786,
-0.011762220412492752,
-0.04501482844352722,
0.050936512649059296,
0.0380188450217247,
-0.025274429470300674,
0.03680003806948662,
-0.06355298310518265,
0.023591140285134315,
-0.004200486931949854,
0.03961028903722763,
0.03596329689025879,
-0.006712615489959717,
0.03472442179918289,
0.032168079167604446,
0.005915075074881315,
0.03126560151576996,
0.041486166417598724,
0.0021715930197387934,
0.05169522017240524,
-0.06553100049495697,
-0.06782308220863342,
-0.028423188254237175,
-0.07326357811689377,
0.04200203716754913,
-0.08240517973899841,
-0.01299283280968666,
0.0039599016308784485,
0.035241615027189255,
-0.028694503009319305,
0.008046924136579037,
-0.006251702085137367,
-0.0588359460234642,
0.07268064469099045,
0.07559505850076675,
-0.03340556100010872,
0.07591748982667923,
0.009325627237558365,
-0.015187960118055344,
0.12052809447050095,
-0.06492586433887482,
-0.036043278872966766,
0.005349613260477781,
-0.0552946962416172,
-0.007828766480088234,
0.012037134729325771,
0.04714301601052284,
-0.06418239325284958,
-0.04687291011214256,
-0.09150378406047821,
0.0779476910829544,
-0.0013847134541720152,
0.035117365419864655,
-0.06351374089717865,
0.05332633852958679,
-0.046610742807388306,
-0.08740398287773132,
0.05287919566035271,
-0.010164562612771988,
-0.027470393106341362,
0.04379052296280861,
-0.04435040056705475,
-0.056842491030693054,
0.05574926361441612,
-0.011870856396853924,
0.029181528836488724,
-0.046687666326761246,
0.07641317695379257,
-0.018902001902461052,
0.03632207587361336,
0.0019843413028866053,
0.05076594650745392,
-0.03110969066619873,
-0.012612549588084221,
-0.07257414609193802,
-3.57858206412126e-33,
0.0202983058989048,
-0.021513011306524277,
0.012995408847928047,
0.01614549569785595,
0.04090096801519394,
0.06481040269136429,
-0.03220156207680702,
-0.01689911261200905,
0.09879457205533981,
-0.02137131430208683,
0.0755494236946106,
-0.017816361039876938,
-0.0028088653925806284,
0.06793338060379028,
-0.038294192403554916,
-0.011173390783369541,
0.033662743866443634,
0.015144088305532932,
0.022191861644387245,
0.003956025931984186,
0.008830559439957142,
0.028599848970770836,
0.04027187079191208,
-0.0296091977506876,
0.04865645989775658,
-0.007203607354313135,
-0.10395705699920654,
0.07271122187376022,
0.07604055106639862,
0.0587923638522625,
-0.04766977205872536,
0.07536405324935913,
0.030666103586554527,
0.04643559828400612,
0.03487632796168327,
0.03082234412431717,
-0.009702024981379509,
0.02350577525794506,
0.015914518386125565,
-0.06205197796225548,
0.04031127318739891,
-0.03910829499363899,
-0.07189026474952698,
-0.04070238396525383,
0.06205763295292854,
-0.019232530146837234,
-0.058908261358737946,
0.016028039157390594,
0.03761806711554527,
-0.01355833187699318,
0.02303200401365757,
-0.03250548988580704,
-0.005490907933562994,
-0.05553850531578064,
0.001900097937323153,
0.005875900387763977,
0.001268818974494934,
0.036479149013757706,
0.051500771194696426,
0.04360243305563927,
0.0017716650618240237,
0.0009455236722715199,
-0.07426842302083969,
-0.027158353477716446,
-0.0556383952498436,
0.08235470205545425,
-0.021886557340621948,
0.055121906101703644,
0.021642787382006645,
0.04717602580785751,
-0.033725108951330185,
0.07307791709899902,
0.02399965561926365,
-0.01753917522728443,
0.022282103076577187,
0.10023809969425201,
-0.010060791857540607,
-0.03935708850622177,
0.03330133855342865,
0.021674424409866333,
-0.07597045600414276,
0.0022246490698307753,
-0.10800157487392426,
0.0006979829049669206,
-0.07938556373119354,
0.020203351974487305,
-0.08578046411275864,
0.018849866464734077,
-0.06811439990997314,
-0.07492084801197052,
0.013729328289628029,
0.027010492980480194,
0.00045686468365602195,
-0.008521934039890766,
-0.03329332917928696,
-4.906026873641167e-8,
-0.013447428122162819,
-0.026285246014595032,
-0.10872901976108551,
-0.05887226015329361,
-0.029477659612894058,
-0.07049878686666489,
0.04608502611517906,
-0.0815652459859848,
-0.0009633477311581373,
-0.018886610865592957,
0.013230537995696068,
-0.03738738223910332,
-0.06711025536060333,
0.009996643289923668,
-0.009176734834909439,
-0.011520950123667717,
-0.025802766904234886,
-0.017843952402472496,
0.016791975125670433,
-0.03504541516304016,
0.023903368040919304,
-0.01970556750893593,
-0.026363594457507133,
0.022420000284910202,
-0.012722545303404331,
-0.022620003670454025,
0.018331721425056458,
0.031582754105329514,
-0.0061965747736394405,
-0.03573819622397423,
-0.011223255656659603,
-0.016675028949975967,
-0.10149827599525452,
0.11313354223966599,
-0.04690667241811752,
-0.010566744953393936,
0.04861737787723541,
0.05510404706001282,
0.052526794373989105,
0.06270693987607956,
-0.05991619825363159,
-0.02226254530251026,
-0.10948625206947327,
-0.011128673329949379,
0.024909790605306625,
0.029197657480835915,
0.009519180282950401,
-0.04504561051726341,
-0.016507744789123535,
0.0014062738046050072,
-0.014730704016983509,
0.08333934098482132,
-0.03211507573723793,
-0.13765668869018555,
-0.02788103185594082,
0.048899054527282715,
0.02607557363808155,
-0.03604379668831825,
-0.0422174371778965,
0.05713647976517677,
-0.08351318538188934,
-0.01856711506843567,
0.0023644526954740286,
-0.009702425450086594
] | null | null | null | null | null | null | null |
[
0.03251319378614426,
0.09467088431119919,
0.00006487864447990432,
0.03546179085969925,
-0.12444484233856201,
-0.0652913898229599,
0.012303966097533703,
-0.1205645203590393,
0.030146131291985512,
-0.0864182859659195,
-0.007780380081385374,
0.060043271631002426,
0.05943675339221954,
-0.13414958119392395,
-0.026498869061470032,
0.0075638918206095695,
0.060373611748218536,
0.04464893043041229,
0.018039684742689133,
0.05845330283045769,
0.0288076288998127,
0.0000140129413921386,
-0.04956996813416481,
0.030062543228268623,
0.06275660544633865,
-0.03831389173865318,
0.04755820333957672,
-0.01669793389737606,
0.03383670374751091,
-0.03143366053700447,
0.015921028330922127,
-0.03896583989262581,
0.05635097250342369,
-0.03893396258354187,
0.04062310978770256,
-0.10993850976228714,
0.11585697531700134,
0.01174284890294075,
0.08871907740831375,
0.05260803550481796,
-0.0032165825832635164,
0.04685833305120468,
0.09830185770988464,
0.016843944787979126,
-0.05550874397158623,
-0.0025427660439163446,
-0.003168546361848712,
-0.07380787283182144,
0.0018626811215654016,
-0.05868677422404289,
0.020228007808327675,
0.04697737470269203,
-0.03278442099690437,
0.019056547433137894,
0.07482507824897766,
0.0022594579495489597,
-0.023284265771508217,
0.059913333505392075,
-0.006879209075123072,
0.070091113448143,
0.008459120988845825,
0.016693701967597008,
0.0046548196114599705,
0.01371378730982542,
-0.014061950147151947,
0.00793248601257801,
-0.040414322167634964,
0.05935729295015335,
0.06386363506317139,
-0.007459088694304228,
-0.048543501645326614,
-0.048912063241004944,
0.09119987487792969,
0.0332295261323452,
0.117879718542099,
-0.006540435366332531,
-0.10372904688119888,
-0.026552455499768257,
0.011566296219825745,
0.11759606003761292,
-0.04201579466462135,
-0.14546231925487518,
0.0045130690559744835,
-0.07119280844926834,
0.0030380231328308582,
-0.06064838916063309,
0.006812076549977064,
0.004502991680055857,
-0.001549544627778232,
-0.07984085381031036,
-0.10671385377645493,
-0.005784447770565748,
-0.017689239233732224,
-0.011137161403894424,
0.05636454001069069,
0.03214975818991661,
0.04438792169094086,
0.008798221126198769,
0.05651406943798065,
-0.003132122103124857,
0.08993233740329742,
-0.04821527376770973,
0.034351930022239685,
-0.006869717035442591,
-0.03267572075128555,
0.039627667516469955,
0.060580119490623474,
0.020064348354935646,
-0.08636942505836487,
-0.04220537096261978,
-0.05284162610769272,
0.048261117190122604,
-0.00205974280834198,
0.030872711911797523,
0.012088745832443237,
0.087531179189682,
0.06432206183671951,
0.06871458142995834,
0.08517982065677643,
-0.07570943236351013,
-0.02144448831677437,
-0.12852999567985535,
0.07647298276424408,
0.015451239421963692,
0.08077023923397064,
0.013977267779409885,
-0.07535281777381897,
3.801307754217359e-33,
-0.12411404401063919,
0.032053858041763306,
-0.053268902003765106,
-0.017331304028630257,
0.002899352926760912,
-0.003338616108521819,
-0.04309617355465889,
-0.006799585651606321,
0.06122569739818573,
0.10695226490497589,
0.057063281536102295,
-0.05545980855822563,
-0.028087837621569633,
-0.01825965940952301,
0.06837427616119385,
-0.025248093530535698,
0.07348790764808655,
0.005469726864248514,
0.009222602471709251,
0.03552461043000221,
0.11863234639167786,
-0.011762220412492752,
-0.04501482844352722,
0.050936512649059296,
0.0380188450217247,
-0.025274429470300674,
0.03680003806948662,
-0.06355298310518265,
0.023591140285134315,
-0.004200486931949854,
0.03961028903722763,
0.03596329689025879,
-0.006712615489959717,
0.03472442179918289,
0.032168079167604446,
0.005915075074881315,
0.03126560151576996,
0.041486166417598724,
0.0021715930197387934,
0.05169522017240524,
-0.06553100049495697,
-0.06782308220863342,
-0.028423188254237175,
-0.07326357811689377,
0.04200203716754913,
-0.08240517973899841,
-0.01299283280968666,
0.0039599016308784485,
0.035241615027189255,
-0.028694503009319305,
0.008046924136579037,
-0.006251702085137367,
-0.0588359460234642,
0.07268064469099045,
0.07559505850076675,
-0.03340556100010872,
0.07591748982667923,
0.009325627237558365,
-0.015187960118055344,
0.12052809447050095,
-0.06492586433887482,
-0.036043278872966766,
0.005349613260477781,
-0.0552946962416172,
-0.007828766480088234,
0.012037134729325771,
0.04714301601052284,
-0.06418239325284958,
-0.04687291011214256,
-0.09150378406047821,
0.0779476910829544,
-0.0013847134541720152,
0.035117365419864655,
-0.06351374089717865,
0.05332633852958679,
-0.046610742807388306,
-0.08740398287773132,
0.05287919566035271,
-0.010164562612771988,
-0.027470393106341362,
0.04379052296280861,
-0.04435040056705475,
-0.056842491030693054,
0.05574926361441612,
-0.011870856396853924,
0.029181528836488724,
-0.046687666326761246,
0.07641317695379257,
-0.018902001902461052,
0.03632207587361336,
0.0019843413028866053,
0.05076594650745392,
-0.03110969066619873,
-0.012612549588084221,
-0.07257414609193802,
-3.57858206412126e-33,
0.0202983058989048,
-0.021513011306524277,
0.012995408847928047,
0.01614549569785595,
0.04090096801519394,
0.06481040269136429,
-0.03220156207680702,
-0.01689911261200905,
0.09879457205533981,
-0.02137131430208683,
0.0755494236946106,
-0.017816361039876938,
-0.0028088653925806284,
0.06793338060379028,
-0.038294192403554916,
-0.011173390783369541,
0.033662743866443634,
0.015144088305532932,
0.022191861644387245,
0.003956025931984186,
0.008830559439957142,
0.028599848970770836,
0.04027187079191208,
-0.0296091977506876,
0.04865645989775658,
-0.007203607354313135,
-0.10395705699920654,
0.07271122187376022,
0.07604055106639862,
0.0587923638522625,
-0.04766977205872536,
0.07536405324935913,
0.030666103586554527,
0.04643559828400612,
0.03487632796168327,
0.03082234412431717,
-0.009702024981379509,
0.02350577525794506,
0.015914518386125565,
-0.06205197796225548,
0.04031127318739891,
-0.03910829499363899,
-0.07189026474952698,
-0.04070238396525383,
0.06205763295292854,
-0.019232530146837234,
-0.058908261358737946,
0.016028039157390594,
0.03761806711554527,
-0.01355833187699318,
0.02303200401365757,
-0.03250548988580704,
-0.005490907933562994,
-0.05553850531578064,
0.001900097937323153,
0.005875900387763977,
0.001268818974494934,
0.036479149013757706,
0.051500771194696426,
0.04360243305563927,
0.0017716650618240237,
0.0009455236722715199,
-0.07426842302083969,
-0.027158353477716446,
-0.0556383952498436,
0.08235470205545425,
-0.021886557340621948,
0.055121906101703644,
0.021642787382006645,
0.04717602580785751,
-0.033725108951330185,
0.07307791709899902,
0.02399965561926365,
-0.01753917522728443,
0.022282103076577187,
0.10023809969425201,
-0.010060791857540607,
-0.03935708850622177,
0.03330133855342865,
0.021674424409866333,
-0.07597045600414276,
0.0022246490698307753,
-0.10800157487392426,
0.0006979829049669206,
-0.07938556373119354,
0.020203351974487305,
-0.08578046411275864,
0.018849866464734077,
-0.06811439990997314,
-0.07492084801197052,
0.013729328289628029,
0.027010492980480194,
0.00045686468365602195,
-0.008521934039890766,
-0.03329332917928696,
-4.906026873641167e-8,
-0.013447428122162819,
-0.026285246014595032,
-0.10872901976108551,
-0.05887226015329361,
-0.029477659612894058,
-0.07049878686666489,
0.04608502611517906,
-0.0815652459859848,
-0.0009633477311581373,
-0.018886610865592957,
0.013230537995696068,
-0.03738738223910332,
-0.06711025536060333,
0.009996643289923668,
-0.009176734834909439,
-0.011520950123667717,
-0.025802766904234886,
-0.017843952402472496,
0.016791975125670433,
-0.03504541516304016,
0.023903368040919304,
-0.01970556750893593,
-0.026363594457507133,
0.022420000284910202,
-0.012722545303404331,
-0.022620003670454025,
0.018331721425056458,
0.031582754105329514,
-0.0061965747736394405,
-0.03573819622397423,
-0.011223255656659603,
-0.016675028949975967,
-0.10149827599525452,
0.11313354223966599,
-0.04690667241811752,
-0.010566744953393936,
0.04861737787723541,
0.05510404706001282,
0.052526794373989105,
0.06270693987607956,
-0.05991619825363159,
-0.02226254530251026,
-0.10948625206947327,
-0.011128673329949379,
0.024909790605306625,
0.029197657480835915,
0.009519180282950401,
-0.04504561051726341,
-0.016507744789123535,
0.0014062738046050072,
-0.014730704016983509,
0.08333934098482132,
-0.03211507573723793,
-0.13765668869018555,
-0.02788103185594082,
0.048899054527282715,
0.02607557363808155,
-0.03604379668831825,
-0.0422174371778965,
0.05713647976517677,
-0.08351318538188934,
-0.01856711506843567,
0.0023644526954740286,
-0.009702425450086594
] |
1401.6444
|
William Glisson
|
Karl-Johan Karlsson, William Bradley Glisson
|
Android Anti-forensics: Modifying CyanogenMod
|
Karlsson, K.-J. and W.B. Glisson, Android Anti-forensics: Modifying
CyanogenMod in Hawaii International Conference on System Sciences (HICSS-47).
2014, IEEE Computer Society Press: Hawaii
| null |
10.1109/HICSS.2014.593
| null |
cs.CR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Mobile devices implementing Android operating systems inherently create
opportunities to present environments that are conducive to anti-forensic
activities. Previous mobile forensics research focused on applications and data
hiding anti-forensics solutions. In this work, a set of modifications were
developed and implemented on a CyanogenMod community distribution of the
Android operating system. The execution of these solutions successfully
prevented data extractions, blocked the installation of forensic tools, created
extraction delays and presented false data to industry accepted forensic
analysis tools without impacting normal use of the device. The research
contribution is an initial empirical analysis of the viability of operating
system modifications in an anti-forensics context along with providing the
foundation for future research.
|
[
{
"created": "Fri, 24 Jan 2014 20:23:05 GMT",
"version": "v1"
}
] |
2016-11-17
|
[
[
"Karlsson",
"Karl-Johan",
""
],
[
"Glisson",
"William Bradley",
""
]
] |
[
-0.10256095975637436,
0.14332428574562073,
0.02638210356235504,
-0.1278257966041565,
0.10380132496356964,
-0.0882900282740593,
-0.03056296333670616,
-0.03463834896683693,
0.0014764972729608417,
0.048991914838552475,
0.14444513618946075,
-0.023942312225699425,
0.011742894537746906,
-0.011291869916021824,
-0.013581236824393272,
-0.05849307030439377,
0.023039832711219788,
0.01270398497581482,
0.0008235664572566748,
0.04997343569993973,
-0.032865434885025024,
-0.007058256771415472,
0.041122280061244965,
-0.002121907891705632,
0.034153930842876434,
0.025772931054234505,
-0.023371312767267227,
-0.034981947392225266,
-0.006699367891997099,
0.02484896592795849,
0.022782832384109497,
0.03472321480512619,
0.06950719654560089,
0.05663183704018593,
0.05764184892177582,
-0.11785390973091125,
0.011460301466286182,
0.02598179690539837,
-0.02330203726887703,
-0.0245285052806139,
-0.048701364547014236,
0.0034002603497356176,
-0.045770313590765,
0.015932798385620117,
-0.014727146364748478,
-0.0004301850567571819,
0.03094625100493431,
0.001954146660864353,
0.009460479021072388,
-0.005849053151905537,
-0.02122150920331478,
0.10443612933158875,
-0.024888375774025917,
0.040879085659980774,
-0.10055193305015564,
-0.04909851774573326,
-0.019896790385246277,
0.09858500957489014,
0.016421182081103325,
0.004100652411580086,
-0.03629952296614647,
0.03515532612800598,
-0.08771366626024246,
0.05049395561218262,
-0.0008782498189248145,
0.053285423666238785,
0.004159793257713318,
-0.06308805197477341,
0.14815767109394073,
-0.07211364805698395,
0.017292795702815056,
0.032089296728372574,
0.05464843288064003,
0.016330834478139877,
-0.10141336917877197,
0.06995329260826111,
-0.008001874200999737,
0.03475533798336983,
-0.11524397879838943,
-0.09019015729427338,
0.07673000544309616,
-0.03497208654880524,
-0.002510996302589774,
0.01289875153452158,
-0.035506829619407654,
0.021263159811496735,
-0.09743735939264297,
0.024406110867857933,
-0.03442906588315964,
0.02641282230615616,
0.01744556985795498,
0.07197897881269455,
0.061933986842632294,
-0.04100315645337105,
0.017571719363331795,
-0.02661963738501072,
0.01428039651364088,
0.06619349867105484,
-0.007556724827736616,
0.04227249696850777,
-0.03131566569209099,
0.00939164962619543,
-0.03103531152009964,
-0.020834634080529213,
0.03219753876328468,
0.006452352739870548,
-0.018714262172579765,
-0.011428894475102425,
0.009296823292970657,
0.036179203540086746,
0.05109785497188568,
-0.017093202099204063,
-0.04752439633011818,
-0.03710396960377693,
0.03306957706809044,
-0.014030298218131065,
0.0033803631085902452,
0.03585134819149971,
-0.07300008088350296,
0.04133634269237518,
0.022664668038487434,
-0.0520205944776535,
-0.02686549536883831,
-0.09277413040399551,
0.031080354005098343,
0.004064623266458511,
-0.017196962609887123,
1.5569351044954195e-33,
-0.02527797967195511,
-0.018292298540472984,
-0.030288638547062874,
-0.04924848675727844,
-0.06473415344953537,
-0.0331721305847168,
0.013958940282464027,
0.021203435957431793,
0.03010963276028633,
0.034514740109443665,
-0.003790840972214937,
0.028740497305989265,
-0.09554372727870941,
0.0031030860263854265,
0.09484326094388962,
0.03768681734800339,
0.01824379712343216,
-0.055349089205265045,
-0.0017858101055026054,
0.02584710717201233,
0.002959936624392867,
-0.10644306242465973,
-0.042278338223695755,
-0.019842257723212242,
-0.03218131884932518,
0.017175039276480675,
-0.02091337740421295,
-0.04053471237421036,
0.06039194017648697,
0.018764635547995567,
-0.07785820960998535,
-0.048019859939813614,
0.03933258727192879,
0.012512098997831345,
0.016356466338038445,
0.045258570462465286,
0.005889139603823423,
-0.09717649966478348,
0.015391722321510315,
0.0469077043235302,
-0.050964441150426865,
-0.05554309859871864,
0.004554219078272581,
-0.07432010024785995,
0.0010792756220325828,
-0.00977797619998455,
-0.0728638544678688,
-0.007016547955572605,
-0.007769518066197634,
-0.019390523433685303,
0.0721430703997612,
0.02844984456896782,
0.04401269182562828,
-0.03068583831191063,
-0.07621277123689651,
0.061956025660037994,
0.013057180680334568,
-0.05772458389401436,
0.04047537222504616,
0.08137232065200806,
0.040039390325546265,
0.08150957524776459,
-0.004755077883601189,
0.053586527705192566,
-0.09530898183584213,
-0.0859062597155571,
0.047947563230991364,
-0.07413526624441147,
0.05968480929732323,
0.037012726068496704,
-0.0685466006398201,
-0.06415200233459473,
0.09717023372650146,
0.015895450487732887,
-0.0002549914934206754,
0.04168791323900223,
0.03960508480668068,
0.020711105316877365,
-0.016360647976398468,
-0.04002171754837036,
-0.022949649021029472,
-0.006858887150883675,
0.04346582293510437,
-0.03624221310019493,
-0.007631490472704172,
0.0003630268620327115,
-0.07954775542020798,
-0.11868000775575638,
0.0317770354449749,
0.07558439671993256,
-0.0158506128937006,
-0.023443108424544334,
-0.07760698348283768,
0.06017649173736572,
-0.028690200299024582,
-3.129785300475019e-33,
-0.050536107271909714,
-0.02473631128668785,
-0.0418381504714489,
-0.0644310787320137,
-0.03776058554649353,
-0.013791607692837715,
-0.06716229021549225,
-0.018244560807943344,
-0.023902401328086853,
-0.0019787282217293978,
-0.02360467053949833,
0.008017460815608501,
0.09008420258760452,
-0.04017023742198944,
-0.01271761953830719,
0.03209920972585678,
0.09340833127498627,
-0.041843265295028687,
-0.03351936116814613,
0.03426271677017212,
-0.017093291506171227,
0.08082658052444458,
0.056434739381074905,
0.027207273989915848,
0.037274233996868134,
-0.04332931339740753,
-0.03562094271183014,
0.0035954162012785673,
0.061032410711050034,
0.010011211968958378,
0.02687123231589794,
0.05889573693275452,
0.0382361076772213,
-0.05306554213166237,
0.06398438662290573,
-0.023116154596209526,
0.0751962810754776,
-0.04135598614811897,
0.043703723698854446,
-0.07639557123184204,
0.0672624260187149,
0.0419500432908535,
-0.06717222929000854,
-0.015184515155851841,
-0.04320412874221802,
-0.05055006220936775,
-0.0269369687885046,
0.05515116825699806,
0.10015696287155151,
-0.06511256843805313,
0.10913486778736115,
0.07392710447311401,
-0.032465264201164246,
-0.03368113934993744,
0.05513666942715645,
0.03207031637430191,
0.03178167715668678,
-0.01444054115563631,
0.022868363186717033,
-0.03326784446835518,
0.08410295844078064,
-0.07783475518226624,
-0.07254620641469955,
-0.006349431350827217,
0.031171889975667,
0.04023566097021103,
0.10975595563650131,
0.07189633697271347,
-0.12238912284374237,
0.04398998245596886,
0.02519119530916214,
-0.03408427536487579,
-0.037358637899160385,
0.07374383509159088,
0.006857000291347504,
0.054641276597976685,
-0.042248066514730453,
-0.057890381664037704,
-0.12735635042190552,
0.005315250717103481,
0.06118561699986458,
-0.06018649786710739,
-0.003663065144792199,
0.06587764620780945,
0.06587228178977966,
-0.04855456203222275,
-0.04996675252914429,
-0.010760108008980751,
-0.04902678355574608,
-0.00034558214247226715,
-0.07721561193466187,
-0.022101761773228645,
-0.07872538268566132,
0.09495799243450165,
-0.01314989197999239,
-4.019009836042642e-8,
0.056104935705661774,
-0.07711082696914673,
0.04651260003447533,
0.01671396940946579,
-0.018284140154719353,
0.02332543022930622,
-0.004005585331469774,
-0.04501000791788101,
0.015382535755634308,
-0.09589890390634537,
0.01491647120565176,
-0.06003761291503906,
-0.0766800045967102,
0.006281048059463501,
0.04316246137022972,
0.024274110794067383,
-0.018651539459824562,
0.011670542880892754,
-0.045848071575164795,
0.01800081506371498,
0.01710515283048153,
0.061558883637189865,
-0.06391706317663193,
-0.01682155579328537,
0.08105561882257462,
-0.028660519048571587,
-0.020401496440172195,
-0.008754574693739414,
0.028659746050834656,
0.020091170445084572,
-0.05491501837968826,
-0.02238670364022255,
0.051472801715135574,
0.024112503975629807,
0.06302294135093689,
0.04142387956380844,
0.11142096668481827,
-0.028719820082187653,
0.010129358619451523,
-0.012068849056959152,
-0.09105498343706131,
-0.009210803546011448,
-0.019000433385372162,
0.006232722196727991,
-0.06965697556734085,
-0.07007883489131927,
0.05666058138012886,
-0.020194562152028084,
-0.05042433366179466,
0.03208762779831886,
0.001355182845145464,
-0.01675925776362419,
-0.05795621871948242,
0.05303484573960304,
0.08864467591047287,
0.016048995777964592,
0.04610103368759155,
0.01413247361779213,
0.018405355513095856,
-0.003666738048195839,
0.09537628293037415,
-0.018304726108908653,
0.07339134067296982,
0.0010151646565645933
] | null | null | null | null | null | null | null |
[
-0.10256095975637436,
0.14332428574562073,
0.02638210356235504,
-0.1278257966041565,
0.10380132496356964,
-0.0882900282740593,
-0.03056296333670616,
-0.03463834896683693,
0.0014764972729608417,
0.048991914838552475,
0.14444513618946075,
-0.023942312225699425,
0.011742894537746906,
-0.011291869916021824,
-0.013581236824393272,
-0.05849307030439377,
0.023039832711219788,
0.01270398497581482,
0.0008235664572566748,
0.04997343569993973,
-0.032865434885025024,
-0.007058256771415472,
0.041122280061244965,
-0.002121907891705632,
0.034153930842876434,
0.025772931054234505,
-0.023371312767267227,
-0.034981947392225266,
-0.006699367891997099,
0.02484896592795849,
0.022782832384109497,
0.03472321480512619,
0.06950719654560089,
0.05663183704018593,
0.05764184892177582,
-0.11785390973091125,
0.011460301466286182,
0.02598179690539837,
-0.02330203726887703,
-0.0245285052806139,
-0.048701364547014236,
0.0034002603497356176,
-0.045770313590765,
0.015932798385620117,
-0.014727146364748478,
-0.0004301850567571819,
0.03094625100493431,
0.001954146660864353,
0.009460479021072388,
-0.005849053151905537,
-0.02122150920331478,
0.10443612933158875,
-0.024888375774025917,
0.040879085659980774,
-0.10055193305015564,
-0.04909851774573326,
-0.019896790385246277,
0.09858500957489014,
0.016421182081103325,
0.004100652411580086,
-0.03629952296614647,
0.03515532612800598,
-0.08771366626024246,
0.05049395561218262,
-0.0008782498189248145,
0.053285423666238785,
0.004159793257713318,
-0.06308805197477341,
0.14815767109394073,
-0.07211364805698395,
0.017292795702815056,
0.032089296728372574,
0.05464843288064003,
0.016330834478139877,
-0.10141336917877197,
0.06995329260826111,
-0.008001874200999737,
0.03475533798336983,
-0.11524397879838943,
-0.09019015729427338,
0.07673000544309616,
-0.03497208654880524,
-0.002510996302589774,
0.01289875153452158,
-0.035506829619407654,
0.021263159811496735,
-0.09743735939264297,
0.024406110867857933,
-0.03442906588315964,
0.02641282230615616,
0.01744556985795498,
0.07197897881269455,
0.061933986842632294,
-0.04100315645337105,
0.017571719363331795,
-0.02661963738501072,
0.01428039651364088,
0.06619349867105484,
-0.007556724827736616,
0.04227249696850777,
-0.03131566569209099,
0.00939164962619543,
-0.03103531152009964,
-0.020834634080529213,
0.03219753876328468,
0.006452352739870548,
-0.018714262172579765,
-0.011428894475102425,
0.009296823292970657,
0.036179203540086746,
0.05109785497188568,
-0.017093202099204063,
-0.04752439633011818,
-0.03710396960377693,
0.03306957706809044,
-0.014030298218131065,
0.0033803631085902452,
0.03585134819149971,
-0.07300008088350296,
0.04133634269237518,
0.022664668038487434,
-0.0520205944776535,
-0.02686549536883831,
-0.09277413040399551,
0.031080354005098343,
0.004064623266458511,
-0.017196962609887123,
1.5569351044954195e-33,
-0.02527797967195511,
-0.018292298540472984,
-0.030288638547062874,
-0.04924848675727844,
-0.06473415344953537,
-0.0331721305847168,
0.013958940282464027,
0.021203435957431793,
0.03010963276028633,
0.034514740109443665,
-0.003790840972214937,
0.028740497305989265,
-0.09554372727870941,
0.0031030860263854265,
0.09484326094388962,
0.03768681734800339,
0.01824379712343216,
-0.055349089205265045,
-0.0017858101055026054,
0.02584710717201233,
0.002959936624392867,
-0.10644306242465973,
-0.042278338223695755,
-0.019842257723212242,
-0.03218131884932518,
0.017175039276480675,
-0.02091337740421295,
-0.04053471237421036,
0.06039194017648697,
0.018764635547995567,
-0.07785820960998535,
-0.048019859939813614,
0.03933258727192879,
0.012512098997831345,
0.016356466338038445,
0.045258570462465286,
0.005889139603823423,
-0.09717649966478348,
0.015391722321510315,
0.0469077043235302,
-0.050964441150426865,
-0.05554309859871864,
0.004554219078272581,
-0.07432010024785995,
0.0010792756220325828,
-0.00977797619998455,
-0.0728638544678688,
-0.007016547955572605,
-0.007769518066197634,
-0.019390523433685303,
0.0721430703997612,
0.02844984456896782,
0.04401269182562828,
-0.03068583831191063,
-0.07621277123689651,
0.061956025660037994,
0.013057180680334568,
-0.05772458389401436,
0.04047537222504616,
0.08137232065200806,
0.040039390325546265,
0.08150957524776459,
-0.004755077883601189,
0.053586527705192566,
-0.09530898183584213,
-0.0859062597155571,
0.047947563230991364,
-0.07413526624441147,
0.05968480929732323,
0.037012726068496704,
-0.0685466006398201,
-0.06415200233459473,
0.09717023372650146,
0.015895450487732887,
-0.0002549914934206754,
0.04168791323900223,
0.03960508480668068,
0.020711105316877365,
-0.016360647976398468,
-0.04002171754837036,
-0.022949649021029472,
-0.006858887150883675,
0.04346582293510437,
-0.03624221310019493,
-0.007631490472704172,
0.0003630268620327115,
-0.07954775542020798,
-0.11868000775575638,
0.0317770354449749,
0.07558439671993256,
-0.0158506128937006,
-0.023443108424544334,
-0.07760698348283768,
0.06017649173736572,
-0.028690200299024582,
-3.129785300475019e-33,
-0.050536107271909714,
-0.02473631128668785,
-0.0418381504714489,
-0.0644310787320137,
-0.03776058554649353,
-0.013791607692837715,
-0.06716229021549225,
-0.018244560807943344,
-0.023902401328086853,
-0.0019787282217293978,
-0.02360467053949833,
0.008017460815608501,
0.09008420258760452,
-0.04017023742198944,
-0.01271761953830719,
0.03209920972585678,
0.09340833127498627,
-0.041843265295028687,
-0.03351936116814613,
0.03426271677017212,
-0.017093291506171227,
0.08082658052444458,
0.056434739381074905,
0.027207273989915848,
0.037274233996868134,
-0.04332931339740753,
-0.03562094271183014,
0.0035954162012785673,
0.061032410711050034,
0.010011211968958378,
0.02687123231589794,
0.05889573693275452,
0.0382361076772213,
-0.05306554213166237,
0.06398438662290573,
-0.023116154596209526,
0.0751962810754776,
-0.04135598614811897,
0.043703723698854446,
-0.07639557123184204,
0.0672624260187149,
0.0419500432908535,
-0.06717222929000854,
-0.015184515155851841,
-0.04320412874221802,
-0.05055006220936775,
-0.0269369687885046,
0.05515116825699806,
0.10015696287155151,
-0.06511256843805313,
0.10913486778736115,
0.07392710447311401,
-0.032465264201164246,
-0.03368113934993744,
0.05513666942715645,
0.03207031637430191,
0.03178167715668678,
-0.01444054115563631,
0.022868363186717033,
-0.03326784446835518,
0.08410295844078064,
-0.07783475518226624,
-0.07254620641469955,
-0.006349431350827217,
0.031171889975667,
0.04023566097021103,
0.10975595563650131,
0.07189633697271347,
-0.12238912284374237,
0.04398998245596886,
0.02519119530916214,
-0.03408427536487579,
-0.037358637899160385,
0.07374383509159088,
0.006857000291347504,
0.054641276597976685,
-0.042248066514730453,
-0.057890381664037704,
-0.12735635042190552,
0.005315250717103481,
0.06118561699986458,
-0.06018649786710739,
-0.003663065144792199,
0.06587764620780945,
0.06587228178977966,
-0.04855456203222275,
-0.04996675252914429,
-0.010760108008980751,
-0.04902678355574608,
-0.00034558214247226715,
-0.07721561193466187,
-0.022101761773228645,
-0.07872538268566132,
0.09495799243450165,
-0.01314989197999239,
-4.019009836042642e-8,
0.056104935705661774,
-0.07711082696914673,
0.04651260003447533,
0.01671396940946579,
-0.018284140154719353,
0.02332543022930622,
-0.004005585331469774,
-0.04501000791788101,
0.015382535755634308,
-0.09589890390634537,
0.01491647120565176,
-0.06003761291503906,
-0.0766800045967102,
0.006281048059463501,
0.04316246137022972,
0.024274110794067383,
-0.018651539459824562,
0.011670542880892754,
-0.045848071575164795,
0.01800081506371498,
0.01710515283048153,
0.061558883637189865,
-0.06391706317663193,
-0.01682155579328537,
0.08105561882257462,
-0.028660519048571587,
-0.020401496440172195,
-0.008754574693739414,
0.028659746050834656,
0.020091170445084572,
-0.05491501837968826,
-0.02238670364022255,
0.051472801715135574,
0.024112503975629807,
0.06302294135093689,
0.04142387956380844,
0.11142096668481827,
-0.028719820082187653,
0.010129358619451523,
-0.012068849056959152,
-0.09105498343706131,
-0.009210803546011448,
-0.019000433385372162,
0.006232722196727991,
-0.06965697556734085,
-0.07007883489131927,
0.05666058138012886,
-0.020194562152028084,
-0.05042433366179466,
0.03208762779831886,
0.001355182845145464,
-0.01675925776362419,
-0.05795621871948242,
0.05303484573960304,
0.08864467591047287,
0.016048995777964592,
0.04610103368759155,
0.01413247361779213,
0.018405355513095856,
-0.003666738048195839,
0.09537628293037415,
-0.018304726108908653,
0.07339134067296982,
0.0010151646565645933
] |
1401.6449
|
Viet Chi Tran
|
St\'ephan Cl\'emen\c{c}on, Hector De Arazoza (MATCOM), Fabrice Rossi,
Viet Chi Tran
|
A statistical network analysis of the HIV/AIDS epidemics in Cuba
| null | null | null | null |
stat.AP cs.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Cuban contact-tracing detection system set up in 1986 allowed the
reconstruction and analysis of the sexual network underlying the epidemic
(5,389 vertices and 4,073 edges, giant component of 2,386 nodes and 3,168
edges), shedding light onto the spread of HIV and the role of contact-tracing.
Clustering based on modularity optimization provides a better visualization and
understanding of the network, in combination with the study of covariates. The
graph has a globally low but heterogeneous density, with clusters of high
intraconnectivity but low interconnectivity. Though descriptive, our results
pave the way for incorporating structure when studying stochastic SIR epidemics
spreading on social networks.
|
[
{
"created": "Fri, 24 Jan 2014 20:41:20 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2014 18:34:07 GMT",
"version": "v2"
},
{
"created": "Thu, 21 May 2015 09:34:01 GMT",
"version": "v3"
},
{
"created": "Fri, 22 May 2015 08:26:56 GMT",
"version": "v4"
}
] |
2015-05-25
|
[
[
"Clémençon",
"Stéphan",
"",
"MATCOM"
],
[
"De Arazoza",
"Hector",
"",
"MATCOM"
],
[
"Rossi",
"Fabrice",
""
],
[
"Tran",
"Viet Chi",
""
]
] |
[
0.004107415676116943,
-0.03345527499914169,
-0.019055621698498726,
0.00712598068639636,
0.07323640584945679,
-0.03258742764592171,
-0.018916644155979156,
0.008173671551048756,
0.041378673166036606,
-0.002574243349954486,
0.06962104141712189,
0.031121326610445976,
0.07555735856294632,
0.03853075951337814,
-0.024201801046729088,
-0.03663782402873039,
-0.014370151795446873,
-0.0106503926217556,
0.022105662152171135,
0.0006080031162127852,
-0.012219933792948723,
0.0045830439776182175,
-0.020026875659823418,
-0.07007762789726257,
-0.015188676305115223,
-0.023879315704107285,
0.00017300421313848346,
0.01642606034874916,
0.01947822794318199,
0.02378813363611698,
-0.007828084751963615,
0.08155223727226257,
0.027315862476825714,
0.042030930519104004,
-0.0815540999174118,
0.0005896242801100016,
0.024667931720614433,
0.013723247684538364,
0.041584908962249756,
0.04725298658013344,
0.07268059998750687,
0.014138597995042801,
0.10128851979970932,
0.07241831719875336,
-0.010714699514210224,
-0.01456331554800272,
-0.11696887016296387,
0.11051595956087112,
-0.03915342688560486,
-0.033707112073898315,
-0.014971128664910793,
-0.05055449530482292,
-0.044335782527923584,
0.07435169070959091,
0.04123072698712349,
-0.007201408501714468,
0.0050640166737139225,
-0.08778482675552368,
-0.007667639292776585,
0.001180701656267047,
0.0965690091252327,
0.04922839626669884,
-0.02779477834701538,
0.0006336140213534236,
0.03678182139992714,
0.05657803639769554,
0.05358801409602165,
0.11753584444522858,
0.08486182242631912,
0.09149884432554245,
0.07834677398204803,
0.05547730252146721,
-0.18715998530387878,
0.08868155628442764,
-0.011191744357347488,
-0.021636389195919037,
-0.06265954673290253,
-0.012965509667992592,
-0.024726446717977524,
-0.048366446048021317,
0.012970568612217903,
0.007986227981746197,
0.11576951295137405,
-0.02420501969754696,
-0.011712776497006416,
-0.014161053113639355,
-0.03337382152676582,
-0.09735365957021713,
-0.030446229502558708,
0.0018868404440581799,
-0.10674913972616196,
0.14775539934635162,
-0.06431954354047775,
-0.030463261529803276,
-0.05274583026766777,
0.026954613626003265,
0.007662148214876652,
-0.03498425334692001,
0.024875881150364876,
0.10394367575645447,
-0.08732898533344269,
-0.08579645305871964,
0.015304436907172203,
-0.053619787096977234,
-0.013928696513175964,
-0.004511833190917969,
0.0019398179138079286,
0.044082798063755035,
0.00923961028456688,
0.019582292065024376,
-0.02790394425392151,
0.06093229353427887,
-0.007596490439027548,
-0.0031724348664283752,
0.026338983327150345,
-0.06546029448509216,
0.07554176449775696,
0.02006237953901291,
0.05157412216067314,
0.014111985452473164,
0.048665937036275864,
-0.005770455114543438,
-0.039500363171100616,
-0.07399234175682068,
0.040475647896528244,
-0.0020370895508676767,
-0.007110311184078455,
1.1373921708083216e-33,
0.03778068348765373,
-0.030812133103609085,
0.03668392822146416,
0.030713485553860664,
0.03286084160208702,
0.04193804785609245,
-0.051105622202157974,
-0.09145042300224304,
0.008589841425418854,
-0.021960731595754623,
-0.08586350083351135,
0.052843838930130005,
-0.028536135330796242,
0.03831931948661804,
0.03650427982211113,
-0.0685572624206543,
0.10202939808368683,
0.0478723980486393,
-0.04744745045900345,
-0.09010976552963257,
0.015299943275749683,
-0.05779314786195755,
0.03269440680742264,
0.02478509023785591,
0.011032363399863243,
0.05078144371509552,
-0.04912567511200905,
-0.061463624238967896,
0.09969934076070786,
0.021344872191548347,
-0.04085049405694008,
0.1322879046201706,
-0.029313011094927788,
0.003651057370007038,
-0.014340316876769066,
0.05586516484618187,
0.00020060953102074564,
-0.08533655852079391,
-0.018064767122268677,
-0.02453344687819481,
0.013695723377168179,
-0.015687499195337296,
0.0338931530714035,
-0.05807524919509888,
-0.031235475093126297,
0.04827433079481125,
-0.028051916509866714,
-0.01093290839344263,
0.004308267030864954,
-0.00816402304917574,
-0.05198652669787407,
-0.04631902277469635,
0.021710602566599846,
0.07680100947618484,
-0.030258603394031525,
0.03263786435127258,
0.025358865037560463,
0.05246596783399582,
0.01191107276827097,
0.06525800377130508,
0.06342429667711258,
-0.0790972039103508,
0.05880716070532799,
0.0031208102591335773,
0.047301288694143295,
0.011207946576178074,
-0.0643262043595314,
0.008546148426830769,
0.04835580289363861,
0.09177882969379425,
-0.0330682210624218,
0.12155596166849136,
-0.04639319330453873,
-0.018666470423340797,
-0.02201581373810768,
-0.023897647857666016,
-0.06274328380823135,
-0.022610826417803764,
-0.009669645689427853,
0.07979115098714828,
-0.06715141236782074,
-0.03316718339920044,
0.0035580710973590612,
-0.06305849552154541,
-0.034048158675432205,
-0.016298916190862656,
0.08035645633935928,
0.009812716394662857,
-0.057068340480327606,
0.0052065919153392315,
-0.026079773902893066,
0.03201838582754135,
0.05469653755426407,
0.022148821502923965,
0.03194868192076683,
-2.2232565467483482e-33,
-0.11055713891983032,
0.06989803165197372,
0.092928946018219,
0.02089455910027027,
0.019437871873378754,
-0.0316072478890419,
-0.0011980433482676744,
0.011439014226198196,
-0.005032555665820837,
0.0730859786272049,
-0.012618061155080795,
-0.08225145936012268,
0.025152968242764473,
-0.021370504051446915,
0.04391529783606529,
0.04685376584529877,
0.05302555114030838,
0.008069763891398907,
-0.011797775514423847,
-0.016800368204712868,
-0.0699581578373909,
-0.021459044888615608,
-0.03796173259615898,
-0.028354860842227936,
0.08154520392417908,
-0.013026085682213306,
0.00016393768601119518,
-0.01613348349928856,
-0.031111406162381172,
0.009368297643959522,
-0.06299832463264465,
0.00698677496984601,
-0.03013797290623188,
-0.003370921593159437,
-0.03394950553774834,
0.1347462683916092,
0.02408813312649727,
0.002774484222754836,
0.08349025249481201,
-0.07850559800863266,
0.03472653403878212,
-0.009513366967439651,
-0.10304858535528183,
0.0006456362316384912,
0.007394338026642799,
0.0440523624420166,
-0.01865256018936634,
0.09008278697729111,
-0.021799223497509956,
-0.04161727800965309,
-0.0066464426927268505,
0.03435869142413139,
0.006428615655750036,
0.0015595996519550681,
-0.06150561571121216,
-0.024179721251130104,
-0.03541721776127815,
0.05938228592276573,
0.011154661886394024,
-0.020043617114424706,
-0.08946261554956436,
-0.07815877348184586,
-0.12234687805175781,
0.006717824377119541,
0.005441276356577873,
-0.1015334352850914,
0.06859005242586136,
-0.10114200413227081,
0.04958924278616905,
0.052223194390535355,
0.008998807519674301,
0.021375378593802452,
-0.07004840672016144,
-0.014242536388337612,
0.015580207109451294,
-0.07428506016731262,
-0.02857920154929161,
0.02153913304209709,
-0.052162013947963715,
0.02737121656537056,
-0.007510099094361067,
-0.03905830159783363,
0.026671232655644417,
-0.028395023196935654,
0.0526120662689209,
0.010341232642531395,
0.02233857847750187,
-0.0012499786680564284,
0.06475024670362473,
0.100543312728405,
-0.053990937769412994,
-0.03308434411883354,
-0.048622701317071915,
-0.05115368589758873,
-0.07340934127569199,
-4.0090000652526214e-8,
-0.012498948723077774,
-0.01546899788081646,
0.020532602444291115,
-0.06176278740167618,
0.1216692328453064,
0.11208022385835648,
-0.006192764267325401,
0.07016013562679291,
0.023020170629024506,
0.06740638613700867,
0.0034697391092777252,
-0.030988862738013268,
0.0033456310629844666,
-0.043495409190654755,
0.012233328074216843,
-0.029796630144119263,
-0.014542566612362862,
0.013474095612764359,
-0.044182468205690384,
-0.030543705448508263,
-0.025072406977415085,
-0.02103840373456478,
-0.06692834943532944,
0.05747830495238304,
0.018006956204771996,
-0.03923296183347702,
-0.026337672024965286,
0.03993607312440872,
0.016419753432273865,
-0.03457371145486832,
-0.056283045560121536,
-0.030009454116225243,
-0.044366635382175446,
0.08111373335123062,
-0.10564781725406647,
0.13831108808517456,
0.023953968659043312,
-0.013067037798464298,
0.0021586199291050434,
-0.03608868643641472,
0.0553448349237442,
-0.04037807136774063,
-0.016455838456749916,
0.008757181465625763,
0.024469655007123947,
0.013144929893314838,
0.044260989874601364,
0.01881934143602848,
0.03972799703478813,
-0.02352268621325493,
-0.059082530438899994,
-0.04694554582238197,
-0.01808328367769718,
-0.0339728444814682,
-0.02432623691856861,
-0.05027839168906212,
-0.003891115775331855,
0.008308500982820988,
0.09945681691169739,
-0.021334797143936157,
-0.0646250769495964,
-0.06421422958374023,
-0.03617808595299721,
-0.05441930145025253
] | null | null | null | null | null | null | null |
[
0.004107415676116943,
-0.03345527499914169,
-0.019055621698498726,
0.00712598068639636,
0.07323640584945679,
-0.03258742764592171,
-0.018916644155979156,
0.008173671551048756,
0.041378673166036606,
-0.002574243349954486,
0.06962104141712189,
0.031121326610445976,
0.07555735856294632,
0.03853075951337814,
-0.024201801046729088,
-0.03663782402873039,
-0.014370151795446873,
-0.0106503926217556,
0.022105662152171135,
0.0006080031162127852,
-0.012219933792948723,
0.0045830439776182175,
-0.020026875659823418,
-0.07007762789726257,
-0.015188676305115223,
-0.023879315704107285,
0.00017300421313848346,
0.01642606034874916,
0.01947822794318199,
0.02378813363611698,
-0.007828084751963615,
0.08155223727226257,
0.027315862476825714,
0.042030930519104004,
-0.0815540999174118,
0.0005896242801100016,
0.024667931720614433,
0.013723247684538364,
0.041584908962249756,
0.04725298658013344,
0.07268059998750687,
0.014138597995042801,
0.10128851979970932,
0.07241831719875336,
-0.010714699514210224,
-0.01456331554800272,
-0.11696887016296387,
0.11051595956087112,
-0.03915342688560486,
-0.033707112073898315,
-0.014971128664910793,
-0.05055449530482292,
-0.044335782527923584,
0.07435169070959091,
0.04123072698712349,
-0.007201408501714468,
0.0050640166737139225,
-0.08778482675552368,
-0.007667639292776585,
0.001180701656267047,
0.0965690091252327,
0.04922839626669884,
-0.02779477834701538,
0.0006336140213534236,
0.03678182139992714,
0.05657803639769554,
0.05358801409602165,
0.11753584444522858,
0.08486182242631912,
0.09149884432554245,
0.07834677398204803,
0.05547730252146721,
-0.18715998530387878,
0.08868155628442764,
-0.011191744357347488,
-0.021636389195919037,
-0.06265954673290253,
-0.012965509667992592,
-0.024726446717977524,
-0.048366446048021317,
0.012970568612217903,
0.007986227981746197,
0.11576951295137405,
-0.02420501969754696,
-0.011712776497006416,
-0.014161053113639355,
-0.03337382152676582,
-0.09735365957021713,
-0.030446229502558708,
0.0018868404440581799,
-0.10674913972616196,
0.14775539934635162,
-0.06431954354047775,
-0.030463261529803276,
-0.05274583026766777,
0.026954613626003265,
0.007662148214876652,
-0.03498425334692001,
0.024875881150364876,
0.10394367575645447,
-0.08732898533344269,
-0.08579645305871964,
0.015304436907172203,
-0.053619787096977234,
-0.013928696513175964,
-0.004511833190917969,
0.0019398179138079286,
0.044082798063755035,
0.00923961028456688,
0.019582292065024376,
-0.02790394425392151,
0.06093229353427887,
-0.007596490439027548,
-0.0031724348664283752,
0.026338983327150345,
-0.06546029448509216,
0.07554176449775696,
0.02006237953901291,
0.05157412216067314,
0.014111985452473164,
0.048665937036275864,
-0.005770455114543438,
-0.039500363171100616,
-0.07399234175682068,
0.040475647896528244,
-0.0020370895508676767,
-0.007110311184078455,
1.1373921708083216e-33,
0.03778068348765373,
-0.030812133103609085,
0.03668392822146416,
0.030713485553860664,
0.03286084160208702,
0.04193804785609245,
-0.051105622202157974,
-0.09145042300224304,
0.008589841425418854,
-0.021960731595754623,
-0.08586350083351135,
0.052843838930130005,
-0.028536135330796242,
0.03831931948661804,
0.03650427982211113,
-0.0685572624206543,
0.10202939808368683,
0.0478723980486393,
-0.04744745045900345,
-0.09010976552963257,
0.015299943275749683,
-0.05779314786195755,
0.03269440680742264,
0.02478509023785591,
0.011032363399863243,
0.05078144371509552,
-0.04912567511200905,
-0.061463624238967896,
0.09969934076070786,
0.021344872191548347,
-0.04085049405694008,
0.1322879046201706,
-0.029313011094927788,
0.003651057370007038,
-0.014340316876769066,
0.05586516484618187,
0.00020060953102074564,
-0.08533655852079391,
-0.018064767122268677,
-0.02453344687819481,
0.013695723377168179,
-0.015687499195337296,
0.0338931530714035,
-0.05807524919509888,
-0.031235475093126297,
0.04827433079481125,
-0.028051916509866714,
-0.01093290839344263,
0.004308267030864954,
-0.00816402304917574,
-0.05198652669787407,
-0.04631902277469635,
0.021710602566599846,
0.07680100947618484,
-0.030258603394031525,
0.03263786435127258,
0.025358865037560463,
0.05246596783399582,
0.01191107276827097,
0.06525800377130508,
0.06342429667711258,
-0.0790972039103508,
0.05880716070532799,
0.0031208102591335773,
0.047301288694143295,
0.011207946576178074,
-0.0643262043595314,
0.008546148426830769,
0.04835580289363861,
0.09177882969379425,
-0.0330682210624218,
0.12155596166849136,
-0.04639319330453873,
-0.018666470423340797,
-0.02201581373810768,
-0.023897647857666016,
-0.06274328380823135,
-0.022610826417803764,
-0.009669645689427853,
0.07979115098714828,
-0.06715141236782074,
-0.03316718339920044,
0.0035580710973590612,
-0.06305849552154541,
-0.034048158675432205,
-0.016298916190862656,
0.08035645633935928,
0.009812716394662857,
-0.057068340480327606,
0.0052065919153392315,
-0.026079773902893066,
0.03201838582754135,
0.05469653755426407,
0.022148821502923965,
0.03194868192076683,
-2.2232565467483482e-33,
-0.11055713891983032,
0.06989803165197372,
0.092928946018219,
0.02089455910027027,
0.019437871873378754,
-0.0316072478890419,
-0.0011980433482676744,
0.011439014226198196,
-0.005032555665820837,
0.0730859786272049,
-0.012618061155080795,
-0.08225145936012268,
0.025152968242764473,
-0.021370504051446915,
0.04391529783606529,
0.04685376584529877,
0.05302555114030838,
0.008069763891398907,
-0.011797775514423847,
-0.016800368204712868,
-0.0699581578373909,
-0.021459044888615608,
-0.03796173259615898,
-0.028354860842227936,
0.08154520392417908,
-0.013026085682213306,
0.00016393768601119518,
-0.01613348349928856,
-0.031111406162381172,
0.009368297643959522,
-0.06299832463264465,
0.00698677496984601,
-0.03013797290623188,
-0.003370921593159437,
-0.03394950553774834,
0.1347462683916092,
0.02408813312649727,
0.002774484222754836,
0.08349025249481201,
-0.07850559800863266,
0.03472653403878212,
-0.009513366967439651,
-0.10304858535528183,
0.0006456362316384912,
0.007394338026642799,
0.0440523624420166,
-0.01865256018936634,
0.09008278697729111,
-0.021799223497509956,
-0.04161727800965309,
-0.0066464426927268505,
0.03435869142413139,
0.006428615655750036,
0.0015595996519550681,
-0.06150561571121216,
-0.024179721251130104,
-0.03541721776127815,
0.05938228592276573,
0.011154661886394024,
-0.020043617114424706,
-0.08946261554956436,
-0.07815877348184586,
-0.12234687805175781,
0.006717824377119541,
0.005441276356577873,
-0.1015334352850914,
0.06859005242586136,
-0.10114200413227081,
0.04958924278616905,
0.052223194390535355,
0.008998807519674301,
0.021375378593802452,
-0.07004840672016144,
-0.014242536388337612,
0.015580207109451294,
-0.07428506016731262,
-0.02857920154929161,
0.02153913304209709,
-0.052162013947963715,
0.02737121656537056,
-0.007510099094361067,
-0.03905830159783363,
0.026671232655644417,
-0.028395023196935654,
0.0526120662689209,
0.010341232642531395,
0.02233857847750187,
-0.0012499786680564284,
0.06475024670362473,
0.100543312728405,
-0.053990937769412994,
-0.03308434411883354,
-0.048622701317071915,
-0.05115368589758873,
-0.07340934127569199,
-4.0090000652526214e-8,
-0.012498948723077774,
-0.01546899788081646,
0.020532602444291115,
-0.06176278740167618,
0.1216692328453064,
0.11208022385835648,
-0.006192764267325401,
0.07016013562679291,
0.023020170629024506,
0.06740638613700867,
0.0034697391092777252,
-0.030988862738013268,
0.0033456310629844666,
-0.043495409190654755,
0.012233328074216843,
-0.029796630144119263,
-0.014542566612362862,
0.013474095612764359,
-0.044182468205690384,
-0.030543705448508263,
-0.025072406977415085,
-0.02103840373456478,
-0.06692834943532944,
0.05747830495238304,
0.018006956204771996,
-0.03923296183347702,
-0.026337672024965286,
0.03993607312440872,
0.016419753432273865,
-0.03457371145486832,
-0.056283045560121536,
-0.030009454116225243,
-0.044366635382175446,
0.08111373335123062,
-0.10564781725406647,
0.13831108808517456,
0.023953968659043312,
-0.013067037798464298,
0.0021586199291050434,
-0.03608868643641472,
0.0553448349237442,
-0.04037807136774063,
-0.016455838456749916,
0.008757181465625763,
0.024469655007123947,
0.013144929893314838,
0.044260989874601364,
0.01881934143602848,
0.03972799703478813,
-0.02352268621325493,
-0.059082530438899994,
-0.04694554582238197,
-0.01808328367769718,
-0.0339728444814682,
-0.02432623691856861,
-0.05027839168906212,
-0.003891115775331855,
0.008308500982820988,
0.09945681691169739,
-0.021334797143936157,
-0.0646250769495964,
-0.06421422958374023,
-0.03617808595299721,
-0.05441930145025253
] |
1401.6454
|
Valerio Biancalana
|
Valerio Biancalana, Yordanka Dancheva, Leonardo Stiaccini
|
A fast pneumatic sample-shuttle with attenuated shocks
|
3 pages and 3 figures; 2 additional pages (2 figures) as a
supplemental material
| null |
10.1063/1.4868092
| null |
physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a home-built pneumatic shuttle suitable for the fast displacement
of samples in the vicinity of a highly sensitive atomic magnetometer. The
samples are magnetized at 1 T using a Halbach assembly of magnets. The device
enables the remote detection of free induction decay in ultra-low-field and
zero-field NMR experiments, in relaxometric measurements and in other
applications involving the displacement of magnetized samples within time
intervals as short as a few tens of milliseconds. Other possible applications
of fast sample shuttling exist in radiological studies, where samples have to
be irradiated and then analyzed in a 'cold' environment.
|
[
{
"created": "Fri, 24 Jan 2014 14:05:56 GMT",
"version": "v1"
}
] |
2016-01-27
|
[
[
"Biancalana",
"Valerio",
""
],
[
"Dancheva",
"Yordanka",
""
],
[
"Stiaccini",
"Leonardo",
""
]
] |
[
-0.030058985576033592,
0.03907988965511322,
-0.01692422293126583,
0.0328037366271019,
0.028921393677592278,
-0.031841933727264404,
-0.03780204802751541,
0.013838370330631733,
0.02441336214542389,
-0.05023675784468651,
-0.009951664134860039,
0.005781904328614473,
0.03503585606813431,
0.0031237625516951084,
-0.016518283635377884,
-0.02576443739235401,
0.039833541959524155,
0.03317916393280029,
0.04772847890853882,
0.01922685094177723,
-0.13477979600429535,
-0.01819785311818123,
0.01777486503124237,
0.023100655525922775,
-0.022208942100405693,
0.02417846955358982,
0.0027288254350423813,
-0.047030262649059296,
0.004779459908604622,
0.019578034058213234,
0.015269794501364231,
0.057736124843358994,
-0.06223943457007408,
-0.032798364758491516,
0.09029867500066757,
0.02350316382944584,
-0.007455272134393454,
0.051903072744607925,
-0.0014974697260186076,
0.0008023469126783311,
0.005744966212660074,
-0.004090512171387672,
0.05793311074376106,
0.026518726721405983,
-0.004560144618153572,
0.06906161457300186,
0.10208797454833984,
-0.04410134628415108,
-0.0025434596464037895,
0.051112476736307144,
-0.010221770964562893,
0.07058332115411758,
0.043956395238637924,
-0.006859457120299339,
-0.006103439722210169,
0.03987172618508339,
0.010937388055026531,
-0.09866193681955338,
-0.0952245444059372,
0.0349293015897274,
-0.018641067668795586,
-0.029584288597106934,
-0.08831150084733963,
-0.017237447202205658,
0.0671631395816803,
0.07852833718061447,
0.05321573093533516,
0.014246383681893349,
0.0996784120798111,
-0.05213615670800209,
-0.03548240289092064,
0.017112230882048607,
-0.0663033276796341,
0.05125732347369194,
-0.0693838894367218,
-0.058813389390707016,
-0.005663708318024874,
0.010210741311311722,
0.06229479983448982,
-0.00046912350808270276,
-0.005255068186670542,
-0.12834280729293823,
-0.04935738071799278,
-0.0935259759426117,
-0.058586642146110535,
0.07388091832399368,
0.054993391036987305,
0.031090352684259415,
-0.039727553725242615,
0.02060006745159626,
0.01519127655774355,
0.02756025642156601,
-0.11823088675737381,
-0.00718667870387435,
0.028470173478126526,
0.01571635901927948,
0.005520241800695658,
0.06465287506580353,
-0.02210553176701069,
0.029359927400946617,
0.09469295293092728,
0.018381305038928986,
-0.08147753030061722,
0.07271863520145416,
-0.04928544536232948,
-0.03493144363164902,
0.045998163521289825,
-0.04429033026099205,
0.008939099498093128,
0.0852862000465393,
-0.005138750653713942,
0.027808066457509995,
-0.01434324774891138,
-0.03767886385321617,
0.082360178232193,
-0.006022871471941471,
0.004328242037445307,
0.05038107931613922,
-0.0512336902320385,
0.01966225542128086,
0.026661429554224014,
-0.0020363216754049063,
-0.056320782750844955,
0.01282479614019394,
0.07252877205610275,
0.07574426382780075,
0.03719392791390419,
2.4154507914627538e-33,
0.014008698053658009,
-0.03681579604744911,
0.0848391205072403,
0.03482991084456444,
-0.052923206239938736,
0.008282358758151531,
-0.034169115126132965,
0.031764935702085495,
0.0511617548763752,
0.11291934549808502,
0.03538333624601364,
0.03736289218068123,
-0.020633183419704437,
-0.12831398844718933,
-0.05058503895998001,
-0.14001500606536865,
0.028484158217906952,
0.031462401151657104,
-0.023312004283070564,
-0.042953405529260635,
-0.030863044783473015,
-0.04889935627579689,
-0.01404071506112814,
0.04839184507727623,
0.05010657012462616,
0.04756944999098778,
-0.013132448308169842,
0.03423188626766205,
0.014776745811104774,
-0.017575936391949654,
-0.052120141685009,
-0.020072028040885925,
-0.09010506421327591,
-0.012171215377748013,
0.03129523992538452,
-0.06314830482006073,
-0.03098086453974247,
0.04689883068203926,
0.012957057915627956,
-0.027423279359936714,
0.028133824467658997,
-0.0436125285923481,
0.046205293387174606,
0.02928261086344719,
0.012734564021229744,
-0.11750030517578125,
-0.07977545261383057,
0.008556831628084183,
0.05869356542825699,
-0.03757067024707794,
0.03496157005429268,
-0.02675272710621357,
-0.0824696347117424,
-0.023684781044721603,
0.041907258331775665,
-0.0009713402250781655,
-0.006135194096714258,
-0.033099640160799026,
-0.04026885703206062,
0.0401918925344944,
-0.045088138431310654,
0.03427523374557495,
0.00155505386646837,
-0.021929658949375153,
0.04609085991978645,
0.04335614666342735,
-0.07952094078063965,
0.044540971517562866,
0.05732620507478714,
0.07848753035068512,
0.04627485200762749,
-0.0008362984517589211,
0.04267965257167816,
-0.035027384757995605,
0.03135214000940323,
0.043297238647937775,
0.007012585178017616,
0.0483146570622921,
0.028637534007430077,
-0.018729165196418762,
0.044023171067237854,
-0.028402693569660187,
0.05941350385546684,
0.05545620992779732,
-0.0036044756416231394,
-0.012137475423514843,
-0.10030300170183182,
-0.08328422904014587,
0.013650715351104736,
-0.014486296102404594,
0.0009140624897554517,
0.05135500803589821,
-0.03171579912304878,
-0.04902409017086029,
-0.08180851489305496,
-3.662476728597462e-33,
-0.005255953408777714,
-0.05581992492079735,
-0.006861960981041193,
0.046178072690963745,
-0.035767219960689545,
0.03118032217025757,
-0.0018846580060198903,
0.06244254112243652,
-0.044824328273534775,
0.012529196217656136,
0.0034012189134955406,
-0.03994814679026604,
-0.04176473990082741,
-0.09499665349721909,
-0.04270823299884796,
0.019662903621792793,
-0.01725091226398945,
0.015943165868520737,
0.0433584526181221,
0.12801134586334229,
0.025072133168578148,
0.053196851164102554,
0.040024325251579285,
0.02104705199599266,
0.0037346126046031713,
0.03783254325389862,
0.012771076522767544,
-0.025792265310883522,
0.05238424614071846,
0.009554728865623474,
-0.025625357404351234,
0.002124123042449355,
0.023321079090237617,
-0.046965550631284714,
0.008971315808594227,
-0.07434749603271484,
0.015570739284157753,
0.028022505342960358,
0.0033305552788078785,
-0.054961830377578735,
0.029123494401574135,
0.08188117295503616,
-0.018984248861670494,
0.03228113427758217,
0.045686569064855576,
-0.008233589120209217,
-0.06859397888183594,
-0.03037167340517044,
0.02840840071439743,
0.03942422568798065,
-0.04675561189651489,
-0.03504886478185654,
-0.04103661701083183,
0.10450319200754166,
0.013191684149205685,
-0.045558493584394455,
-0.051007308065891266,
-0.04478662088513374,
0.07499480247497559,
0.052280865609645844,
0.02370426617562771,
-0.028124921023845673,
-0.016290759667754173,
-0.02209143340587616,
0.006767648737877607,
-0.003358624642714858,
0.0961211770772934,
0.11993817985057831,
-0.06268645823001862,
0.04996749013662338,
0.12384519726037979,
0.06577101349830627,
0.07746866345405579,
0.02294917032122612,
0.00997341237962246,
0.025750018656253815,
0.05066514015197754,
-0.020938830450177193,
-0.05664267763495445,
-0.02928198128938675,
0.011672664433717728,
0.011122778058052063,
-0.1496141105890274,
-0.0466458760201931,
0.02904723770916462,
-0.09120868891477585,
-0.01092521846294403,
-0.10570167750120163,
-0.01989370584487915,
-0.03766511380672455,
0.02413340099155903,
-0.017181536182761192,
0.07230478525161743,
-0.03842770308256149,
-0.010228177532553673,
-4.996404712187541e-8,
0.006502865348011255,
0.02677183225750923,
0.008568082936108112,
-0.024582887068390846,
-0.01091230008751154,
0.04413073882460594,
-0.0382186584174633,
-0.005246150307357311,
-0.0084111038595438,
-0.08492308109998703,
0.008943621069192886,
-0.03740447014570236,
0.025145379826426506,
-0.022536352276802063,
0.0409846268594265,
0.06433657556772232,
-0.011356870643794537,
-0.01659112609922886,
-0.01908908039331436,
-0.038532059639692307,
0.028445107862353325,
0.05333872139453888,
0.08370997756719589,
-0.05070764943957329,
-0.006786998827010393,
0.051223207265138626,
0.004215171094983816,
-0.016620958223938942,
0.08968035876750946,
-0.14411704242229462,
-0.03380478546023369,
-0.042128268629312515,
0.0789090171456337,
0.0027976022101938725,
0.0031508335378021,
0.07968368381261826,
-0.05082171782851219,
0.04796081781387329,
0.005598746240139008,
0.050043608993291855,
-0.17462992668151855,
0.000981401070021093,
-0.15326045453548431,
-0.02277355082333088,
-0.055256012827157974,
-0.09975569695234299,
-0.07001929730176926,
0.010609181597828865,
-0.055122848600149155,
0.06673244386911392,
0.008985592052340508,
0.004146642982959747,
0.013356287963688374,
-0.06834722310304642,
0.01650223322212696,
0.11537797749042511,
-0.021520238369703293,
-0.031783051788806915,
-0.031715765595436096,
0.02689790353178978,
0.030646130442619324,
-0.021136794239282608,
-0.16870565712451935,
-0.03202222287654877
] | null | null | null | null | null | null | null |
[
-0.030058985576033592,
0.03907988965511322,
-0.01692422293126583,
0.0328037366271019,
0.028921393677592278,
-0.031841933727264404,
-0.03780204802751541,
0.013838370330631733,
0.02441336214542389,
-0.05023675784468651,
-0.009951664134860039,
0.005781904328614473,
0.03503585606813431,
0.0031237625516951084,
-0.016518283635377884,
-0.02576443739235401,
0.039833541959524155,
0.03317916393280029,
0.04772847890853882,
0.01922685094177723,
-0.13477979600429535,
-0.01819785311818123,
0.01777486503124237,
0.023100655525922775,
-0.022208942100405693,
0.02417846955358982,
0.0027288254350423813,
-0.047030262649059296,
0.004779459908604622,
0.019578034058213234,
0.015269794501364231,
0.057736124843358994,
-0.06223943457007408,
-0.032798364758491516,
0.09029867500066757,
0.02350316382944584,
-0.007455272134393454,
0.051903072744607925,
-0.0014974697260186076,
0.0008023469126783311,
0.005744966212660074,
-0.004090512171387672,
0.05793311074376106,
0.026518726721405983,
-0.004560144618153572,
0.06906161457300186,
0.10208797454833984,
-0.04410134628415108,
-0.0025434596464037895,
0.051112476736307144,
-0.010221770964562893,
0.07058332115411758,
0.043956395238637924,
-0.006859457120299339,
-0.006103439722210169,
0.03987172618508339,
0.010937388055026531,
-0.09866193681955338,
-0.0952245444059372,
0.0349293015897274,
-0.018641067668795586,
-0.029584288597106934,
-0.08831150084733963,
-0.017237447202205658,
0.0671631395816803,
0.07852833718061447,
0.05321573093533516,
0.014246383681893349,
0.0996784120798111,
-0.05213615670800209,
-0.03548240289092064,
0.017112230882048607,
-0.0663033276796341,
0.05125732347369194,
-0.0693838894367218,
-0.058813389390707016,
-0.005663708318024874,
0.010210741311311722,
0.06229479983448982,
-0.00046912350808270276,
-0.005255068186670542,
-0.12834280729293823,
-0.04935738071799278,
-0.0935259759426117,
-0.058586642146110535,
0.07388091832399368,
0.054993391036987305,
0.031090352684259415,
-0.039727553725242615,
0.02060006745159626,
0.01519127655774355,
0.02756025642156601,
-0.11823088675737381,
-0.00718667870387435,
0.028470173478126526,
0.01571635901927948,
0.005520241800695658,
0.06465287506580353,
-0.02210553176701069,
0.029359927400946617,
0.09469295293092728,
0.018381305038928986,
-0.08147753030061722,
0.07271863520145416,
-0.04928544536232948,
-0.03493144363164902,
0.045998163521289825,
-0.04429033026099205,
0.008939099498093128,
0.0852862000465393,
-0.005138750653713942,
0.027808066457509995,
-0.01434324774891138,
-0.03767886385321617,
0.082360178232193,
-0.006022871471941471,
0.004328242037445307,
0.05038107931613922,
-0.0512336902320385,
0.01966225542128086,
0.026661429554224014,
-0.0020363216754049063,
-0.056320782750844955,
0.01282479614019394,
0.07252877205610275,
0.07574426382780075,
0.03719392791390419,
2.4154507914627538e-33,
0.014008698053658009,
-0.03681579604744911,
0.0848391205072403,
0.03482991084456444,
-0.052923206239938736,
0.008282358758151531,
-0.034169115126132965,
0.031764935702085495,
0.0511617548763752,
0.11291934549808502,
0.03538333624601364,
0.03736289218068123,
-0.020633183419704437,
-0.12831398844718933,
-0.05058503895998001,
-0.14001500606536865,
0.028484158217906952,
0.031462401151657104,
-0.023312004283070564,
-0.042953405529260635,
-0.030863044783473015,
-0.04889935627579689,
-0.01404071506112814,
0.04839184507727623,
0.05010657012462616,
0.04756944999098778,
-0.013132448308169842,
0.03423188626766205,
0.014776745811104774,
-0.017575936391949654,
-0.052120141685009,
-0.020072028040885925,
-0.09010506421327591,
-0.012171215377748013,
0.03129523992538452,
-0.06314830482006073,
-0.03098086453974247,
0.04689883068203926,
0.012957057915627956,
-0.027423279359936714,
0.028133824467658997,
-0.0436125285923481,
0.046205293387174606,
0.02928261086344719,
0.012734564021229744,
-0.11750030517578125,
-0.07977545261383057,
0.008556831628084183,
0.05869356542825699,
-0.03757067024707794,
0.03496157005429268,
-0.02675272710621357,
-0.0824696347117424,
-0.023684781044721603,
0.041907258331775665,
-0.0009713402250781655,
-0.006135194096714258,
-0.033099640160799026,
-0.04026885703206062,
0.0401918925344944,
-0.045088138431310654,
0.03427523374557495,
0.00155505386646837,
-0.021929658949375153,
0.04609085991978645,
0.04335614666342735,
-0.07952094078063965,
0.044540971517562866,
0.05732620507478714,
0.07848753035068512,
0.04627485200762749,
-0.0008362984517589211,
0.04267965257167816,
-0.035027384757995605,
0.03135214000940323,
0.043297238647937775,
0.007012585178017616,
0.0483146570622921,
0.028637534007430077,
-0.018729165196418762,
0.044023171067237854,
-0.028402693569660187,
0.05941350385546684,
0.05545620992779732,
-0.0036044756416231394,
-0.012137475423514843,
-0.10030300170183182,
-0.08328422904014587,
0.013650715351104736,
-0.014486296102404594,
0.0009140624897554517,
0.05135500803589821,
-0.03171579912304878,
-0.04902409017086029,
-0.08180851489305496,
-3.662476728597462e-33,
-0.005255953408777714,
-0.05581992492079735,
-0.006861960981041193,
0.046178072690963745,
-0.035767219960689545,
0.03118032217025757,
-0.0018846580060198903,
0.06244254112243652,
-0.044824328273534775,
0.012529196217656136,
0.0034012189134955406,
-0.03994814679026604,
-0.04176473990082741,
-0.09499665349721909,
-0.04270823299884796,
0.019662903621792793,
-0.01725091226398945,
0.015943165868520737,
0.0433584526181221,
0.12801134586334229,
0.025072133168578148,
0.053196851164102554,
0.040024325251579285,
0.02104705199599266,
0.0037346126046031713,
0.03783254325389862,
0.012771076522767544,
-0.025792265310883522,
0.05238424614071846,
0.009554728865623474,
-0.025625357404351234,
0.002124123042449355,
0.023321079090237617,
-0.046965550631284714,
0.008971315808594227,
-0.07434749603271484,
0.015570739284157753,
0.028022505342960358,
0.0033305552788078785,
-0.054961830377578735,
0.029123494401574135,
0.08188117295503616,
-0.018984248861670494,
0.03228113427758217,
0.045686569064855576,
-0.008233589120209217,
-0.06859397888183594,
-0.03037167340517044,
0.02840840071439743,
0.03942422568798065,
-0.04675561189651489,
-0.03504886478185654,
-0.04103661701083183,
0.10450319200754166,
0.013191684149205685,
-0.045558493584394455,
-0.051007308065891266,
-0.04478662088513374,
0.07499480247497559,
0.052280865609645844,
0.02370426617562771,
-0.028124921023845673,
-0.016290759667754173,
-0.02209143340587616,
0.006767648737877607,
-0.003358624642714858,
0.0961211770772934,
0.11993817985057831,
-0.06268645823001862,
0.04996749013662338,
0.12384519726037979,
0.06577101349830627,
0.07746866345405579,
0.02294917032122612,
0.00997341237962246,
0.025750018656253815,
0.05066514015197754,
-0.020938830450177193,
-0.05664267763495445,
-0.02928198128938675,
0.011672664433717728,
0.011122778058052063,
-0.1496141105890274,
-0.0466458760201931,
0.02904723770916462,
-0.09120868891477585,
-0.01092521846294403,
-0.10570167750120163,
-0.01989370584487915,
-0.03766511380672455,
0.02413340099155903,
-0.017181536182761192,
0.07230478525161743,
-0.03842770308256149,
-0.010228177532553673,
-4.996404712187541e-8,
0.006502865348011255,
0.02677183225750923,
0.008568082936108112,
-0.024582887068390846,
-0.01091230008751154,
0.04413073882460594,
-0.0382186584174633,
-0.005246150307357311,
-0.0084111038595438,
-0.08492308109998703,
0.008943621069192886,
-0.03740447014570236,
0.025145379826426506,
-0.022536352276802063,
0.0409846268594265,
0.06433657556772232,
-0.011356870643794537,
-0.01659112609922886,
-0.01908908039331436,
-0.038532059639692307,
0.028445107862353325,
0.05333872139453888,
0.08370997756719589,
-0.05070764943957329,
-0.006786998827010393,
0.051223207265138626,
0.004215171094983816,
-0.016620958223938942,
0.08968035876750946,
-0.14411704242229462,
-0.03380478546023369,
-0.042128268629312515,
0.0789090171456337,
0.0027976022101938725,
0.0031508335378021,
0.07968368381261826,
-0.05082171782851219,
0.04796081781387329,
0.005598746240139008,
0.050043608993291855,
-0.17462992668151855,
0.000981401070021093,
-0.15326045453548431,
-0.02277355082333088,
-0.055256012827157974,
-0.09975569695234299,
-0.07001929730176926,
0.010609181597828865,
-0.055122848600149155,
0.06673244386911392,
0.008985592052340508,
0.004146642982959747,
0.013356287963688374,
-0.06834722310304642,
0.01650223322212696,
0.11537797749042511,
-0.021520238369703293,
-0.031783051788806915,
-0.031715765595436096,
0.02689790353178978,
0.030646130442619324,
-0.021136794239282608,
-0.16870565712451935,
-0.03202222287654877
] |
1401.6455
|
Lingjie Duan
|
Lingjie Duan, Takeshi Kubo, Kohei Sugiyama, Jianwei Huang, Teruyuki
Hasegawa, and Jean Walrand
|
Motivating Smartphone Collaboration in Data Acquisition and Distributed
Computing
|
This paper will appear at IEEE Transactions on Mobil Computing
| null |
10.1109/TMC.2014.2307327
| null |
cs.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper analyzes and compares different incentive mechanisms for a master
to motivate the collaboration of smartphone users on both data acquisition and
distributed computing applications. To collect massive sensitive data from
users, we propose a reward-based collaboration mechanism, where the master
announces a total reward to be shared among collaborators, and the
collaboration is successful if there are enough users wanting to collaborate.
We show that if the master knows the users' collaboration costs, then he can
choose to involve only users with the lowest costs. However, without knowing
users' private information, then he needs to offer a larger total reward to
attract enough collaborators. Users will benefit from knowing their costs
before the data acquisition. Perhaps surprisingly, the master may benefit as
the variance of users' cost distribution increases.
To utilize smartphones' computation resources to solve complex computing
problems, we study how the master can design an optimal contract by specifying
different task-reward combinations for different user types. Under complete
information, we show that the master involves a user type as long as the
master's preference characteristic outweighs that type's unit cost. All
collaborators achieve a zero payoff in this case. If the master does not know
users' private cost information, however, he will conservatively target at a
smaller group of users with small costs, and has to give most benefits to the
collaborators.
|
[
{
"created": "Sun, 26 Jan 2014 09:04:15 GMT",
"version": "v1"
}
] |
2016-11-17
|
[
[
"Duan",
"Lingjie",
""
],
[
"Kubo",
"Takeshi",
""
],
[
"Sugiyama",
"Kohei",
""
],
[
"Huang",
"Jianwei",
""
],
[
"Hasegawa",
"Teruyuki",
""
],
[
"Walrand",
"Jean",
""
]
] |
[
-0.06456109881401062,
0.05599615350365639,
0.011353972367942333,
-0.028911469504237175,
-0.04331166297197342,
0.015897434204816818,
0.08520762622356415,
0.04184339568018913,
0.03903621807694435,
0.09442064166069031,
-0.045349981635808945,
-0.084742970764637,
0.1502370536327362,
0.008481854572892189,
0.04423031955957413,
0.012123784981667995,
0.11656443774700165,
-0.029668796807527542,
-0.03537497669458389,
-0.014709779061377048,
-0.05022215470671654,
-0.02993004396557808,
0.041482556611299515,
-0.005540993995964527,
0.04228043928742409,
-0.05480721965432167,
0.006920316256582737,
-0.0769532173871994,
0.03520938381552696,
0.010291334241628647,
0.011041155084967613,
0.013165989890694618,
0.01652243360877037,
0.0648224800825119,
-0.051125433295965195,
-0.04990813881158829,
-0.09730800986289978,
-0.002517125103622675,
-0.08375126123428345,
-0.042446620762348175,
-0.07998036593198776,
0.05357000231742859,
-0.0402839370071888,
0.0736992210149765,
-0.04098189249634743,
0.048101793974637985,
0.052884433418512344,
0.06336065381765366,
-0.03554621711373329,
0.006577031686902046,
0.0681867003440857,
-0.041804831475019455,
0.025507783517241478,
0.04824789613485336,
-0.08583370596170425,
0.026297224685549736,
0.04623863846063614,
-0.033133022487163544,
0.023990383371710777,
0.034781429916620255,
-0.03824782371520996,
-0.06198645755648613,
-0.05102960392832756,
-0.014700690284371376,
0.03210147097706795,
-0.035807471722364426,
0.07377324253320694,
0.05154646560549736,
-0.021535849198698997,
-0.014344699680805206,
0.0491928905248642,
0.030108077451586723,
-0.017667174339294434,
-0.04926310107111931,
0.004515115637332201,
-0.06870684772729874,
-0.07506474107503891,
-0.014940108172595501,
0.0022045911755412817,
-0.02897726185619831,
-0.05203958600759506,
0.019661471247673035,
-0.059926487505435944,
0.029958302155137062,
0.037069812417030334,
-0.06076250970363617,
0.055962756276130676,
0.035747069865465164,
0.053236618638038635,
-0.010179802775382996,
-0.03192382678389549,
0.09313376992940903,
-0.011781509034335613,
-0.0016532818553969264,
-0.051441457122564316,
0.011249810457229614,
-0.01346734818071127,
-0.006594906561076641,
-0.04422222450375557,
0.07543598860502243,
-0.029598835855722427,
0.0378044918179512,
0.02168908342719078,
-0.045351602137088776,
0.05002504587173462,
0.04600483179092407,
0.003940265160053968,
-0.02442682906985283,
0.032529205083847046,
0.051545400172472,
-0.04681236296892166,
-0.0011786968680098653,
-0.07321431487798691,
-0.034801024943590164,
-0.014380973763763905,
0.052946966141462326,
-0.04616449028253555,
0.08959491550922394,
-0.02955760806798935,
0.05587223544716835,
0.03258354216814041,
-0.06803562492132187,
-0.009347490966320038,
-0.026672253385186195,
-0.020463233813643456,
-0.0007251932402141392,
-0.0854334756731987,
1.2872686188931248e-33,
0.0869498923420906,
-0.008435158059000969,
0.02480258047580719,
-0.014286953955888748,
0.05748118832707405,
-0.021722840145230293,
0.07213719934225082,
0.07661144435405731,
-0.1271376609802246,
-0.04599369689822197,
0.02019616775214672,
0.057903774082660675,
0.01174407359212637,
0.08733328431844711,
0.11276936531066895,
-0.018923506140708923,
0.009037354961037636,
0.00422062911093235,
0.0489620640873909,
-0.03588467836380005,
0.03394429758191109,
-0.014753296971321106,
0.004315229598432779,
-0.011067051440477371,
0.047266311943531036,
-0.049069181084632874,
0.007857656106352806,
-0.05705348029732704,
0.12022075802087784,
-0.022153746336698532,
-0.022629976272583008,
-0.027999356389045715,
0.10569506138563156,
0.001207171124406159,
-0.03134986385703087,
0.070709228515625,
-0.028148377314209938,
-0.07359708845615387,
0.07167088240385056,
0.0036826778668910265,
-0.04237522929906845,
0.004483361262828112,
0.03390997275710106,
-0.035676658153533936,
-0.09708715975284576,
-0.046880412846803665,
0.04078153148293495,
-0.0035123557318001986,
-0.031894031912088394,
-0.005420122295618057,
0.058767594397068024,
0.030817514285445213,
0.027063703164458275,
-0.03384039178490639,
-0.06304504722356796,
-0.07048381119966507,
-0.009022748097777367,
-0.02662951685488224,
0.01787652261555195,
0.07669670879840851,
-0.039721570909023285,
-0.03566518798470497,
0.059834130108356476,
0.06990683823823929,
-0.07964269071817398,
-0.022526441141963005,
0.025978973135352135,
-0.03839593008160591,
0.07242828607559204,
0.0019104696111753583,
-0.07377291470766068,
0.0003010930377058685,
0.028967685997486115,
-0.07959438115358353,
-0.013438697904348373,
0.07142512500286102,
-0.03794104978442192,
0.0019605422858148813,
0.006209108512848616,
-0.0440727174282074,
-0.0127142034471035,
-0.03514587879180908,
0.039625708013772964,
0.005537875462323427,
-0.07826695591211319,
0.009261184372007847,
-0.08086013793945312,
-0.002174461493268609,
-0.06327395886182785,
0.11783068627119064,
-0.05445230379700661,
0.05160324275493622,
0.0055984812788665295,
0.05244802311062813,
0.005424222443252802,
-3.218925241149781e-33,
-0.10258419066667557,
0.013320719823241234,
0.007630139123648405,
0.02269142121076584,
0.1662784367799759,
0.003743826411664486,
-0.02182121016085148,
-0.08381843566894531,
-0.04632139205932617,
0.04868528991937637,
-0.1123855859041214,
0.013197751715779305,
0.059351757168769836,
-0.013189629651606083,
-0.030009901151061058,
-0.02330923080444336,
0.011605964973568916,
0.03597039356827736,
-0.011737963184714317,
-0.009650207124650478,
-0.04695005714893341,
0.10614283382892609,
-0.012622549198567867,
0.0015268063871189952,
0.057312626391649246,
0.012865737080574036,
-0.09503640234470367,
-0.029635926708579063,
0.04751132056117058,
0.023126881569623947,
-0.06471911072731018,
-0.09265013784170151,
-0.08928431570529938,
-0.17565105855464935,
-0.017580607905983925,
-0.026278672739863396,
-0.02640506997704506,
0.09612192958593369,
-0.05222716182470322,
0.09665011614561081,
0.007564162835478783,
-0.03856654465198517,
0.004225848242640495,
-0.00807610061019659,
0.08124515414237976,
-0.057004619389772415,
-0.09691640734672546,
-0.009976543486118317,
0.01972251385450363,
-0.005162673071026802,
0.04302619770169258,
0.0639076754450798,
-0.005192314740270376,
-0.035438794642686844,
-0.04792042076587677,
-0.032000601291656494,
-0.019737789407372475,
-0.02355191856622696,
0.07319269329309464,
0.005241081118583679,
-0.0052642980590462685,
-0.022738436236977577,
-0.03065485507249832,
0.1109936535358429,
-0.03611784428358078,
-0.012845868244767189,
0.08602876961231232,
0.02398817054927349,
-0.0548349991440773,
0.05185169354081154,
0.015702728182077408,
0.0011066660517826676,
0.028965655714273453,
-0.07089068740606308,
0.019433652982115746,
0.09959958493709564,
-0.012674554251134396,
-0.040006592869758606,
-0.009350916370749474,
0.005194875877350569,
0.02996215969324112,
0.1066766157746315,
0.1154744103550911,
-0.06136731058359146,
-0.00017284025670960546,
-0.06455445289611816,
0.04741000756621361,
0.008148516528308392,
-0.055879976600408554,
0.024289626628160477,
-0.08082503825426102,
-0.0351252518594265,
-0.009527325630187988,
-0.021421361714601517,
-0.053449369966983795,
-5.006095804560573e-8,
0.055783942341804504,
0.010717477649450302,
-0.03180747851729393,
-0.011765009723603725,
-0.006677400786429644,
-0.03817376866936684,
-0.05709371715784073,
-0.005256311036646366,
0.04865989834070206,
0.02970016933977604,
0.07789088040590286,
-0.010687890462577343,
-0.03231212869286537,
0.006157770287245512,
0.022383583709597588,
0.04144960269331932,
-0.010090690106153488,
-0.05797119066119194,
-0.05143129080533981,
-0.025166897103190422,
0.00881251972168684,
0.027745060622692108,
-0.08179612457752228,
-0.0402972586452961,
0.05493565648794174,
0.013471079058945179,
0.06718714535236359,
0.0742015615105629,
0.044822655618190765,
0.05434923619031906,
-0.012942689470946789,
-0.06569656729698181,
0.014470609836280346,
-0.010671795345842838,
0.08623572438955307,
-0.015418867580592632,
-0.05535532534122467,
-0.025147689506411552,
0.024819746613502502,
0.013552083633840084,
0.017344210296869278,
0.07459456473588943,
0.028291812166571617,
0.020997943356633186,
0.016540024429559708,
-0.03348291292786598,
-0.05173372104763985,
-0.05186636373400688,
-0.024066848680377007,
0.019261136651039124,
0.0335640050470829,
-0.08494602888822556,
-0.01613159291446209,
0.027840368449687958,
0.07613835483789444,
-0.013158407062292099,
0.011034009046852589,
-0.04767211899161339,
0.07624010741710663,
-0.05039156973361969,
0.04778315871953964,
-0.03893886134028435,
-0.09974253922700882,
-0.0064531778916716576
] | null | null | null | null | null | null | null |
[
-0.06456109881401062,
0.05599615350365639,
0.011353972367942333,
-0.028911469504237175,
-0.04331166297197342,
0.015897434204816818,
0.08520762622356415,
0.04184339568018913,
0.03903621807694435,
0.09442064166069031,
-0.045349981635808945,
-0.084742970764637,
0.1502370536327362,
0.008481854572892189,
0.04423031955957413,
0.012123784981667995,
0.11656443774700165,
-0.029668796807527542,
-0.03537497669458389,
-0.014709779061377048,
-0.05022215470671654,
-0.02993004396557808,
0.041482556611299515,
-0.005540993995964527,
0.04228043928742409,
-0.05480721965432167,
0.006920316256582737,
-0.0769532173871994,
0.03520938381552696,
0.010291334241628647,
0.011041155084967613,
0.013165989890694618,
0.01652243360877037,
0.0648224800825119,
-0.051125433295965195,
-0.04990813881158829,
-0.09730800986289978,
-0.002517125103622675,
-0.08375126123428345,
-0.042446620762348175,
-0.07998036593198776,
0.05357000231742859,
-0.0402839370071888,
0.0736992210149765,
-0.04098189249634743,
0.048101793974637985,
0.052884433418512344,
0.06336065381765366,
-0.03554621711373329,
0.006577031686902046,
0.0681867003440857,
-0.041804831475019455,
0.025507783517241478,
0.04824789613485336,
-0.08583370596170425,
0.026297224685549736,
0.04623863846063614,
-0.033133022487163544,
0.023990383371710777,
0.034781429916620255,
-0.03824782371520996,
-0.06198645755648613,
-0.05102960392832756,
-0.014700690284371376,
0.03210147097706795,
-0.035807471722364426,
0.07377324253320694,
0.05154646560549736,
-0.021535849198698997,
-0.014344699680805206,
0.0491928905248642,
0.030108077451586723,
-0.017667174339294434,
-0.04926310107111931,
0.004515115637332201,
-0.06870684772729874,
-0.07506474107503891,
-0.014940108172595501,
0.0022045911755412817,
-0.02897726185619831,
-0.05203958600759506,
0.019661471247673035,
-0.059926487505435944,
0.029958302155137062,
0.037069812417030334,
-0.06076250970363617,
0.055962756276130676,
0.035747069865465164,
0.053236618638038635,
-0.010179802775382996,
-0.03192382678389549,
0.09313376992940903,
-0.011781509034335613,
-0.0016532818553969264,
-0.051441457122564316,
0.011249810457229614,
-0.01346734818071127,
-0.006594906561076641,
-0.04422222450375557,
0.07543598860502243,
-0.029598835855722427,
0.0378044918179512,
0.02168908342719078,
-0.045351602137088776,
0.05002504587173462,
0.04600483179092407,
0.003940265160053968,
-0.02442682906985283,
0.032529205083847046,
0.051545400172472,
-0.04681236296892166,
-0.0011786968680098653,
-0.07321431487798691,
-0.034801024943590164,
-0.014380973763763905,
0.052946966141462326,
-0.04616449028253555,
0.08959491550922394,
-0.02955760806798935,
0.05587223544716835,
0.03258354216814041,
-0.06803562492132187,
-0.009347490966320038,
-0.026672253385186195,
-0.020463233813643456,
-0.0007251932402141392,
-0.0854334756731987,
1.2872686188931248e-33,
0.0869498923420906,
-0.008435158059000969,
0.02480258047580719,
-0.014286953955888748,
0.05748118832707405,
-0.021722840145230293,
0.07213719934225082,
0.07661144435405731,
-0.1271376609802246,
-0.04599369689822197,
0.02019616775214672,
0.057903774082660675,
0.01174407359212637,
0.08733328431844711,
0.11276936531066895,
-0.018923506140708923,
0.009037354961037636,
0.00422062911093235,
0.0489620640873909,
-0.03588467836380005,
0.03394429758191109,
-0.014753296971321106,
0.004315229598432779,
-0.011067051440477371,
0.047266311943531036,
-0.049069181084632874,
0.007857656106352806,
-0.05705348029732704,
0.12022075802087784,
-0.022153746336698532,
-0.022629976272583008,
-0.027999356389045715,
0.10569506138563156,
0.001207171124406159,
-0.03134986385703087,
0.070709228515625,
-0.028148377314209938,
-0.07359708845615387,
0.07167088240385056,
0.0036826778668910265,
-0.04237522929906845,
0.004483361262828112,
0.03390997275710106,
-0.035676658153533936,
-0.09708715975284576,
-0.046880412846803665,
0.04078153148293495,
-0.0035123557318001986,
-0.031894031912088394,
-0.005420122295618057,
0.058767594397068024,
0.030817514285445213,
0.027063703164458275,
-0.03384039178490639,
-0.06304504722356796,
-0.07048381119966507,
-0.009022748097777367,
-0.02662951685488224,
0.01787652261555195,
0.07669670879840851,
-0.039721570909023285,
-0.03566518798470497,
0.059834130108356476,
0.06990683823823929,
-0.07964269071817398,
-0.022526441141963005,
0.025978973135352135,
-0.03839593008160591,
0.07242828607559204,
0.0019104696111753583,
-0.07377291470766068,
0.0003010930377058685,
0.028967685997486115,
-0.07959438115358353,
-0.013438697904348373,
0.07142512500286102,
-0.03794104978442192,
0.0019605422858148813,
0.006209108512848616,
-0.0440727174282074,
-0.0127142034471035,
-0.03514587879180908,
0.039625708013772964,
0.005537875462323427,
-0.07826695591211319,
0.009261184372007847,
-0.08086013793945312,
-0.002174461493268609,
-0.06327395886182785,
0.11783068627119064,
-0.05445230379700661,
0.05160324275493622,
0.0055984812788665295,
0.05244802311062813,
0.005424222443252802,
-3.218925241149781e-33,
-0.10258419066667557,
0.013320719823241234,
0.007630139123648405,
0.02269142121076584,
0.1662784367799759,
0.003743826411664486,
-0.02182121016085148,
-0.08381843566894531,
-0.04632139205932617,
0.04868528991937637,
-0.1123855859041214,
0.013197751715779305,
0.059351757168769836,
-0.013189629651606083,
-0.030009901151061058,
-0.02330923080444336,
0.011605964973568916,
0.03597039356827736,
-0.011737963184714317,
-0.009650207124650478,
-0.04695005714893341,
0.10614283382892609,
-0.012622549198567867,
0.0015268063871189952,
0.057312626391649246,
0.012865737080574036,
-0.09503640234470367,
-0.029635926708579063,
0.04751132056117058,
0.023126881569623947,
-0.06471911072731018,
-0.09265013784170151,
-0.08928431570529938,
-0.17565105855464935,
-0.017580607905983925,
-0.026278672739863396,
-0.02640506997704506,
0.09612192958593369,
-0.05222716182470322,
0.09665011614561081,
0.007564162835478783,
-0.03856654465198517,
0.004225848242640495,
-0.00807610061019659,
0.08124515414237976,
-0.057004619389772415,
-0.09691640734672546,
-0.009976543486118317,
0.01972251385450363,
-0.005162673071026802,
0.04302619770169258,
0.0639076754450798,
-0.005192314740270376,
-0.035438794642686844,
-0.04792042076587677,
-0.032000601291656494,
-0.019737789407372475,
-0.02355191856622696,
0.07319269329309464,
0.005241081118583679,
-0.0052642980590462685,
-0.022738436236977577,
-0.03065485507249832,
0.1109936535358429,
-0.03611784428358078,
-0.012845868244767189,
0.08602876961231232,
0.02398817054927349,
-0.0548349991440773,
0.05185169354081154,
0.015702728182077408,
0.0011066660517826676,
0.028965655714273453,
-0.07089068740606308,
0.019433652982115746,
0.09959958493709564,
-0.012674554251134396,
-0.040006592869758606,
-0.009350916370749474,
0.005194875877350569,
0.02996215969324112,
0.1066766157746315,
0.1154744103550911,
-0.06136731058359146,
-0.00017284025670960546,
-0.06455445289611816,
0.04741000756621361,
0.008148516528308392,
-0.055879976600408554,
0.024289626628160477,
-0.08082503825426102,
-0.0351252518594265,
-0.009527325630187988,
-0.021421361714601517,
-0.053449369966983795,
-5.006095804560573e-8,
0.055783942341804504,
0.010717477649450302,
-0.03180747851729393,
-0.011765009723603725,
-0.006677400786429644,
-0.03817376866936684,
-0.05709371715784073,
-0.005256311036646366,
0.04865989834070206,
0.02970016933977604,
0.07789088040590286,
-0.010687890462577343,
-0.03231212869286537,
0.006157770287245512,
0.022383583709597588,
0.04144960269331932,
-0.010090690106153488,
-0.05797119066119194,
-0.05143129080533981,
-0.025166897103190422,
0.00881251972168684,
0.027745060622692108,
-0.08179612457752228,
-0.0402972586452961,
0.05493565648794174,
0.013471079058945179,
0.06718714535236359,
0.0742015615105629,
0.044822655618190765,
0.05434923619031906,
-0.012942689470946789,
-0.06569656729698181,
0.014470609836280346,
-0.010671795345842838,
0.08623572438955307,
-0.015418867580592632,
-0.05535532534122467,
-0.025147689506411552,
0.024819746613502502,
0.013552083633840084,
0.017344210296869278,
0.07459456473588943,
0.028291812166571617,
0.020997943356633186,
0.016540024429559708,
-0.03348291292786598,
-0.05173372104763985,
-0.05186636373400688,
-0.024066848680377007,
0.019261136651039124,
0.0335640050470829,
-0.08494602888822556,
-0.01613159291446209,
0.027840368449687958,
0.07613835483789444,
-0.013158407062292099,
0.011034009046852589,
-0.04767211899161339,
0.07624010741710663,
-0.05039156973361969,
0.04778315871953964,
-0.03893886134028435,
-0.09974253922700882,
-0.0064531778916716576
] |
1401.6468
|
Andrew Baggaley
|
D.H. Wacks, A.W. Baggaley, C.F.Barenghi
|
Coherent laminar and turbulent motion of toroidal vortex bundles
|
22 pages, 12 figures
| null |
10.1063/1.4864659
| null |
physics.flu-dyn cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by experiments performed in superfluid helium, we study numerically
the motion of toroidal bundles of vortex filaments in an inviscid fluid. We
find that the evolution of these large-scale vortex structures involves the
generalised leapfrogging of the constituent vortex rings. Despite three
dimensional perturbations in the form of Kelvin waves and vortex reconnections,
toroidal vortex bundles retain their coherence over a relatively large distance
(compared to their size), in agreement with experimental observations.
|
[
{
"created": "Fri, 24 Jan 2014 22:10:08 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Wacks",
"D. H.",
""
],
[
"Baggaley",
"A. W.",
""
],
[
"Barenghi",
"C. F.",
""
]
] |
[
-0.07114037871360779,
-0.056777432560920715,
-0.03120930679142475,
0.0033073548693209887,
-0.0021639170590788126,
0.006844604387879372,
-0.07376902550458908,
0.030865788459777832,
-0.004215322434902191,
-0.07828667014837265,
0.025489719584584236,
0.0017152734799310565,
-0.06901739537715912,
-0.03136773034930229,
-0.059367381036281586,
-0.0062571302987635136,
-0.04746827110648155,
-0.006149657536298037,
-0.04540911316871643,
-0.018163736909627914,
0.022967789322137833,
-0.029608232900500298,
0.001959689659997821,
0.04970196262001991,
0.002564824651926756,
0.019454697147011757,
0.0004546804411802441,
-0.048830512911081314,
0.036759693175554276,
-0.026770390570163727,
0.0639246255159378,
0.0842634066939354,
-0.08607557415962219,
0.019087964668869972,
0.047835297882556915,
0.021466154605150223,
0.005970716010779142,
0.054420698434114456,
-0.019856445491313934,
-0.01805531233549118,
0.015020184218883514,
0.009683269076049328,
-0.015904953703284264,
-0.02151832915842533,
0.04885221645236015,
0.079239122569561,
0.07867822051048279,
0.031696777790784836,
-0.04604388028383255,
0.08549945056438446,
-0.010820175521075726,
0.012770445086061954,
0.04018606245517731,
0.04255686327815056,
0.020697008818387985,
0.12420037388801575,
0.004594810772687197,
-0.03711029887199402,
0.018968423828482628,
-0.03936383128166199,
0.03824513033032417,
0.016687404364347458,
0.018397759646177292,
0.0088007478043437,
-0.04011837765574455,
-0.017598634585738182,
-0.008776468224823475,
0.0173259899020195,
0.040357429534196854,
0.02450769767165184,
0.06571386009454727,
0.08638790994882584,
-0.016623718664050102,
0.08804818987846375,
0.11491108685731888,
0.06494192779064178,
-0.04213496297597885,
-0.08725840598344803,
-0.04069474712014198,
0.02690322883427143,
0.043200667947530746,
0.008475498296320438,
0.01756878010928631,
-0.04130009561777115,
-0.05533599108457565,
0.008625008165836334,
0.03107178770005703,
-0.05072568729519844,
-0.06642027944326401,
-0.011146310716867447,
-0.01595640368759632,
-0.06423987448215485,
-0.03641524538397789,
-0.056583814322948456,
0.032470960170030594,
0.01247270405292511,
-0.009262104518711567,
0.03340143337845802,
0.043760038912296295,
-0.06530813872814178,
0.008255025371909142,
-0.11774425208568573,
-0.0047625289298594,
0.08194649964570999,
0.0277561042457819,
0.0026684459298849106,
0.09962339699268341,
-0.0042678252793848515,
0.00100288528483361,
0.051205020397901535,
0.03189381957054138,
-0.06608840078115463,
0.03614623844623566,
-0.10348685830831528,
0.015251432545483112,
-0.004273699130862951,
-0.012934338301420212,
0.1133192777633667,
-0.06842278689146042,
0.11322887986898422,
0.017319638282060623,
0.11047802120447159,
-0.018457908183336258,
0.014950268901884556,
-0.07024407386779785,
0.021844493225216866,
-0.11150605976581573,
1.849972621843969e-33,
0.05826331675052643,
0.04695059731602669,
-0.009215785190463066,
0.05727815255522728,
-0.059207361191511154,
-0.0363277904689312,
0.05091702565550804,
-0.06543296575546265,
0.049937840551137924,
0.04201668128371239,
-0.0540769062936306,
0.10320925712585449,
0.0029342498164623976,
-0.005156420636922121,
-0.06479277461767197,
-0.12052630633115768,
-0.013468284159898758,
-0.03994028642773628,
-0.05610012263059616,
0.05066613852977753,
0.040556591004133224,
0.07091250270605087,
0.0031770544592291117,
-0.06843696534633636,
-0.027261821553111076,
-0.04276743158698082,
-0.013088160194456577,
0.016949711367487907,
0.00944368913769722,
0.02325964719057083,
0.06476087868213654,
-0.020572833716869354,
-0.029398711398243904,
0.031567662954330444,
0.032781932502985,
0.021960709244012833,
0.005090360064059496,
-0.03634665906429291,
-0.109876848757267,
0.04755597934126854,
-0.05022662878036499,
-0.05213487148284912,
-0.08741951733827591,
0.021343357861042023,
-0.052251461893320084,
-0.01929611712694168,
0.044307440519332886,
0.020003238692879677,
0.008840786293148994,
-0.039410077035427094,
0.07151269912719727,
0.02710653282701969,
-0.040839727967977524,
-0.019266381859779358,
0.12429437786340714,
-0.037294935435056686,
0.017897525802254677,
-0.10390773415565491,
-0.01880366913974285,
-0.032782457768917084,
-0.010986655950546265,
-0.004772294778376818,
-0.0444277748465538,
-0.019953973591327667,
-0.03687713295221329,
-0.024872098118066788,
0.020161954686045647,
-0.007917115464806557,
0.007959195412695408,
-0.04751380905508995,
-0.11036759614944458,
0.0721929669380188,
-0.059806521981954575,
-0.0423000231385231,
-0.013091936707496643,
0.029261037707328796,
0.011474882252514362,
-0.00444674352183938,
0.011506711132824421,
0.008947131223976612,
0.0034629616420716047,
-0.06609956175088882,
0.024208664894104004,
-0.013900317251682281,
0.021420979872345924,
0.007279631216078997,
-0.006799620576202869,
0.00023364678781945258,
-0.02357553318142891,
-0.04349349066615105,
-0.0009407884208485484,
0.04044431447982788,
0.12674449384212494,
-0.07754237949848175,
0.04427593573927879,
-4.47094831497243e-33,
-0.04914811998605728,
-0.016662009060382843,
-0.001928169745951891,
0.07705668359994888,
0.016996115446090698,
0.12093058228492737,
0.07049991935491562,
0.03378283232450485,
-0.06055514141917229,
-0.1576772779226303,
-0.03118617832660675,
0.03193061798810959,
0.0409046970307827,
0.02054150216281414,
0.07424555718898773,
-0.04158356040716171,
-0.014226478524506092,
-0.04501473158597946,
0.10428210347890854,
-0.019128786399960518,
-0.017747076228260994,
0.0018312520114704967,
-0.027039652690291405,
-0.03857884183526039,
-0.033904001116752625,
0.033962976187467575,
0.02932123653590679,
-0.10055256634950638,
0.046114128082990646,
0.0864243358373642,
0.014829328283667564,
0.0005340914358384907,
0.01846032217144966,
0.05946864187717438,
-0.03960990905761719,
0.05899902805685997,
0.02568894252181053,
-0.03173743933439255,
-0.012251333333551884,
-0.11004964262247086,
-0.10774655640125275,
0.0018817303935065866,
0.06063081696629524,
-0.008086210116744041,
-0.026679737493395805,
0.04747113212943077,
0.026701249182224274,
-0.046166133135557175,
0.023129649460315704,
-0.02094096504151821,
-0.0866377055644989,
-0.011022238992154598,
-0.011805690824985504,
-0.023388424888253212,
0.02139148861169815,
-0.025449270382523537,
-0.04338155686855316,
-0.008555070497095585,
0.09211529046297073,
-0.06783130019903183,
-0.04769410565495491,
-0.05503658950328827,
0.05393720790743828,
-0.06182226911187172,
0.04509323835372925,
-0.03732159361243248,
-0.02042468450963497,
-0.022981896996498108,
-0.06324229389429092,
-0.029223239049315453,
0.026007452979683876,
-0.02985248900949955,
0.00957748293876648,
-0.010747555643320084,
0.006784958299249411,
-0.023293109610676765,
0.06167610362172127,
0.00987993087619543,
0.037476424127817154,
0.0370120145380497,
-0.0025997746270149946,
0.10654608905315399,
-0.0009592821588739753,
-0.017179932445287704,
0.05971643701195717,
-0.04632822796702385,
-0.042396508157253265,
-0.03878936916589737,
0.016499046236276627,
0.01047954335808754,
0.00822465494275093,
0.032791901379823685,
0.03200110048055649,
-0.07273673266172409,
0.11956369876861572,
-3.9917711802672784e-8,
0.07016222923994064,
0.056113723665475845,
-0.014416736550629139,
0.03619614243507385,
0.05350529029965401,
0.0276145339012146,
-0.0492468886077404,
0.0816788449883461,
0.010078990831971169,
-0.03420252725481987,
0.030992740765213966,
0.03835964575409889,
0.04441128298640251,
-0.0674838200211525,
0.06628300249576569,
-0.02801075205206871,
-0.11149286478757858,
-0.029017798602581024,
0.031874410808086395,
0.017557600513100624,
-0.023620329797267914,
0.104017473757267,
-0.057299088686704636,
-0.043747976422309875,
-0.09049084037542343,
0.013218986801803112,
0.03961867839097977,
-0.11700133234262466,
-0.01195740420371294,
-0.0325215607881546,
-0.053390733897686005,
0.010389480739831924,
0.01915094442665577,
-0.03590356186032295,
-0.09394717216491699,
0.023474516347050667,
-0.05531672388315201,
0.12175595015287399,
0.0026882514357566833,
-0.0523894764482975,
0.028808530420064926,
0.054030921310186386,
0.013248739764094353,
-0.0202083308249712,
-0.016032733023166656,
0.04600626602768898,
-0.0017539499094709754,
0.012865855358541012,
-0.10171616077423096,
0.06260883808135986,
-0.09328603744506836,
0.05323643609881401,
0.05252934619784355,
0.06339354813098907,
0.028406038880348206,
0.013340183533728123,
-0.08666665107011795,
-0.06079881265759468,
-0.0676741972565651,
-0.057672422379255295,
-0.11330880969762802,
0.014155334793031216,
-0.011321255937218666,
-0.001710800570435822
] | null | null | null | null | null | null | null |
[
-0.07114037871360779,
-0.056777432560920715,
-0.03120930679142475,
0.0033073548693209887,
-0.0021639170590788126,
0.006844604387879372,
-0.07376902550458908,
0.030865788459777832,
-0.004215322434902191,
-0.07828667014837265,
0.025489719584584236,
0.0017152734799310565,
-0.06901739537715912,
-0.03136773034930229,
-0.059367381036281586,
-0.0062571302987635136,
-0.04746827110648155,
-0.006149657536298037,
-0.04540911316871643,
-0.018163736909627914,
0.022967789322137833,
-0.029608232900500298,
0.001959689659997821,
0.04970196262001991,
0.002564824651926756,
0.019454697147011757,
0.0004546804411802441,
-0.048830512911081314,
0.036759693175554276,
-0.026770390570163727,
0.0639246255159378,
0.0842634066939354,
-0.08607557415962219,
0.019087964668869972,
0.047835297882556915,
0.021466154605150223,
0.005970716010779142,
0.054420698434114456,
-0.019856445491313934,
-0.01805531233549118,
0.015020184218883514,
0.009683269076049328,
-0.015904953703284264,
-0.02151832915842533,
0.04885221645236015,
0.079239122569561,
0.07867822051048279,
0.031696777790784836,
-0.04604388028383255,
0.08549945056438446,
-0.010820175521075726,
0.012770445086061954,
0.04018606245517731,
0.04255686327815056,
0.020697008818387985,
0.12420037388801575,
0.004594810772687197,
-0.03711029887199402,
0.018968423828482628,
-0.03936383128166199,
0.03824513033032417,
0.016687404364347458,
0.018397759646177292,
0.0088007478043437,
-0.04011837765574455,
-0.017598634585738182,
-0.008776468224823475,
0.0173259899020195,
0.040357429534196854,
0.02450769767165184,
0.06571386009454727,
0.08638790994882584,
-0.016623718664050102,
0.08804818987846375,
0.11491108685731888,
0.06494192779064178,
-0.04213496297597885,
-0.08725840598344803,
-0.04069474712014198,
0.02690322883427143,
0.043200667947530746,
0.008475498296320438,
0.01756878010928631,
-0.04130009561777115,
-0.05533599108457565,
0.008625008165836334,
0.03107178770005703,
-0.05072568729519844,
-0.06642027944326401,
-0.011146310716867447,
-0.01595640368759632,
-0.06423987448215485,
-0.03641524538397789,
-0.056583814322948456,
0.032470960170030594,
0.01247270405292511,
-0.009262104518711567,
0.03340143337845802,
0.043760038912296295,
-0.06530813872814178,
0.008255025371909142,
-0.11774425208568573,
-0.0047625289298594,
0.08194649964570999,
0.0277561042457819,
0.0026684459298849106,
0.09962339699268341,
-0.0042678252793848515,
0.00100288528483361,
0.051205020397901535,
0.03189381957054138,
-0.06608840078115463,
0.03614623844623566,
-0.10348685830831528,
0.015251432545483112,
-0.004273699130862951,
-0.012934338301420212,
0.1133192777633667,
-0.06842278689146042,
0.11322887986898422,
0.017319638282060623,
0.11047802120447159,
-0.018457908183336258,
0.014950268901884556,
-0.07024407386779785,
0.021844493225216866,
-0.11150605976581573,
1.849972621843969e-33,
0.05826331675052643,
0.04695059731602669,
-0.009215785190463066,
0.05727815255522728,
-0.059207361191511154,
-0.0363277904689312,
0.05091702565550804,
-0.06543296575546265,
0.049937840551137924,
0.04201668128371239,
-0.0540769062936306,
0.10320925712585449,
0.0029342498164623976,
-0.005156420636922121,
-0.06479277461767197,
-0.12052630633115768,
-0.013468284159898758,
-0.03994028642773628,
-0.05610012263059616,
0.05066613852977753,
0.040556591004133224,
0.07091250270605087,
0.0031770544592291117,
-0.06843696534633636,
-0.027261821553111076,
-0.04276743158698082,
-0.013088160194456577,
0.016949711367487907,
0.00944368913769722,
0.02325964719057083,
0.06476087868213654,
-0.020572833716869354,
-0.029398711398243904,
0.031567662954330444,
0.032781932502985,
0.021960709244012833,
0.005090360064059496,
-0.03634665906429291,
-0.109876848757267,
0.04755597934126854,
-0.05022662878036499,
-0.05213487148284912,
-0.08741951733827591,
0.021343357861042023,
-0.052251461893320084,
-0.01929611712694168,
0.044307440519332886,
0.020003238692879677,
0.008840786293148994,
-0.039410077035427094,
0.07151269912719727,
0.02710653282701969,
-0.040839727967977524,
-0.019266381859779358,
0.12429437786340714,
-0.037294935435056686,
0.017897525802254677,
-0.10390773415565491,
-0.01880366913974285,
-0.032782457768917084,
-0.010986655950546265,
-0.004772294778376818,
-0.0444277748465538,
-0.019953973591327667,
-0.03687713295221329,
-0.024872098118066788,
0.020161954686045647,
-0.007917115464806557,
0.007959195412695408,
-0.04751380905508995,
-0.11036759614944458,
0.0721929669380188,
-0.059806521981954575,
-0.0423000231385231,
-0.013091936707496643,
0.029261037707328796,
0.011474882252514362,
-0.00444674352183938,
0.011506711132824421,
0.008947131223976612,
0.0034629616420716047,
-0.06609956175088882,
0.024208664894104004,
-0.013900317251682281,
0.021420979872345924,
0.007279631216078997,
-0.006799620576202869,
0.00023364678781945258,
-0.02357553318142891,
-0.04349349066615105,
-0.0009407884208485484,
0.04044431447982788,
0.12674449384212494,
-0.07754237949848175,
0.04427593573927879,
-4.47094831497243e-33,
-0.04914811998605728,
-0.016662009060382843,
-0.001928169745951891,
0.07705668359994888,
0.016996115446090698,
0.12093058228492737,
0.07049991935491562,
0.03378283232450485,
-0.06055514141917229,
-0.1576772779226303,
-0.03118617832660675,
0.03193061798810959,
0.0409046970307827,
0.02054150216281414,
0.07424555718898773,
-0.04158356040716171,
-0.014226478524506092,
-0.04501473158597946,
0.10428210347890854,
-0.019128786399960518,
-0.017747076228260994,
0.0018312520114704967,
-0.027039652690291405,
-0.03857884183526039,
-0.033904001116752625,
0.033962976187467575,
0.02932123653590679,
-0.10055256634950638,
0.046114128082990646,
0.0864243358373642,
0.014829328283667564,
0.0005340914358384907,
0.01846032217144966,
0.05946864187717438,
-0.03960990905761719,
0.05899902805685997,
0.02568894252181053,
-0.03173743933439255,
-0.012251333333551884,
-0.11004964262247086,
-0.10774655640125275,
0.0018817303935065866,
0.06063081696629524,
-0.008086210116744041,
-0.026679737493395805,
0.04747113212943077,
0.026701249182224274,
-0.046166133135557175,
0.023129649460315704,
-0.02094096504151821,
-0.0866377055644989,
-0.011022238992154598,
-0.011805690824985504,
-0.023388424888253212,
0.02139148861169815,
-0.025449270382523537,
-0.04338155686855316,
-0.008555070497095585,
0.09211529046297073,
-0.06783130019903183,
-0.04769410565495491,
-0.05503658950328827,
0.05393720790743828,
-0.06182226911187172,
0.04509323835372925,
-0.03732159361243248,
-0.02042468450963497,
-0.022981896996498108,
-0.06324229389429092,
-0.029223239049315453,
0.026007452979683876,
-0.02985248900949955,
0.00957748293876648,
-0.010747555643320084,
0.006784958299249411,
-0.023293109610676765,
0.06167610362172127,
0.00987993087619543,
0.037476424127817154,
0.0370120145380497,
-0.0025997746270149946,
0.10654608905315399,
-0.0009592821588739753,
-0.017179932445287704,
0.05971643701195717,
-0.04632822796702385,
-0.042396508157253265,
-0.03878936916589737,
0.016499046236276627,
0.01047954335808754,
0.00822465494275093,
0.032791901379823685,
0.03200110048055649,
-0.07273673266172409,
0.11956369876861572,
-3.9917711802672784e-8,
0.07016222923994064,
0.056113723665475845,
-0.014416736550629139,
0.03619614243507385,
0.05350529029965401,
0.0276145339012146,
-0.0492468886077404,
0.0816788449883461,
0.010078990831971169,
-0.03420252725481987,
0.030992740765213966,
0.03835964575409889,
0.04441128298640251,
-0.0674838200211525,
0.06628300249576569,
-0.02801075205206871,
-0.11149286478757858,
-0.029017798602581024,
0.031874410808086395,
0.017557600513100624,
-0.023620329797267914,
0.104017473757267,
-0.057299088686704636,
-0.043747976422309875,
-0.09049084037542343,
0.013218986801803112,
0.03961867839097977,
-0.11700133234262466,
-0.01195740420371294,
-0.0325215607881546,
-0.053390733897686005,
0.010389480739831924,
0.01915094442665577,
-0.03590356186032295,
-0.09394717216491699,
0.023474516347050667,
-0.05531672388315201,
0.12175595015287399,
0.0026882514357566833,
-0.0523894764482975,
0.028808530420064926,
0.054030921310186386,
0.013248739764094353,
-0.0202083308249712,
-0.016032733023166656,
0.04600626602768898,
-0.0017539499094709754,
0.012865855358541012,
-0.10171616077423096,
0.06260883808135986,
-0.09328603744506836,
0.05323643609881401,
0.05252934619784355,
0.06339354813098907,
0.028406038880348206,
0.013340183533728123,
-0.08666665107011795,
-0.06079881265759468,
-0.0676741972565651,
-0.057672422379255295,
-0.11330880969762802,
0.014155334793031216,
-0.011321255937218666,
-0.001710800570435822
] |
1401.6476
|
Dilip Bethanabhotla
|
Dilip Bethanabhotla, Giuseppe Caire, Michael J. Neely
|
Adaptive Video Streaming in MU-MIMO Networks
|
submitted to IEEE Intl. Symposium on Information Theory 2014
| null | null | null |
cs.IT cs.MM cs.NI math.IT math.OC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider extensions and improvements on our previous work on dynamic
adaptive video streaming in a multi-cell multiuser ``small cell'' wireless
network. Previously, we treated the case of single-antenna base stations and,
starting from a network utility maximization (NUM) formulation, we devised a
``push'' scheduling policy, where users place requests to sequential video
chunks to possibly different base stations with adaptive video quality, and
base stations schedule their downlink transmissions in order to stabilize their
transmission queues. In this paper we consider a ``pull'' strategy, where every
user maintains a request queue, such that users keep track of the video chunks
that are effectively delivered. The pull scheme allows to download the chunks
in the playback order without skipping or missing them. In addition, motivated
by the recent/forthcoming progress in small cell networks (e.g., in wave-2 of
the recent IEEE 802.11ac standard), we extend our dynamic streaming approach to
the case of base stations capable of multiuser MIMO downlink, i.e., serving
multiple users on the same time-frequency slot by spatial multiplexing. By
exploiting the ``channel hardening'' effect of high dimensional MIMO channels,
we devise a low complexity user selection scheme to solve the underlying
max-weighted rate scheduling, which can be easily implemented and runs
independently at each base station. Through simulations, we show MIMO gains in
terms of video streaming QoE metrics like the pre-buffering and re-buffering
times.
|
[
{
"created": "Sat, 25 Jan 2014 00:04:36 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Bethanabhotla",
"Dilip",
""
],
[
"Caire",
"Giuseppe",
""
],
[
"Neely",
"Michael J.",
""
]
] |
[
-0.021542023867368698,
-0.03764508664608002,
0.028209079056978226,
-0.08174504339694977,
-0.006258888635784388,
-0.03865072876214981,
-0.013941746205091476,
0.014181689359247684,
-0.0038813522551208735,
0.03428103029727936,
-0.0682031512260437,
0.09399115294218063,
-0.0469854474067688,
0.024426739662885666,
0.0034669500309973955,
-0.0515478253364563,
0.15336182713508606,
-0.0015213042497634888,
-0.03985801711678505,
0.00878504104912281,
0.015455890446901321,
-0.05996977165341377,
0.032754022628068924,
-0.01888660155236721,
0.05057626962661743,
-0.03436178341507912,
-0.013105276972055435,
0.06133080646395683,
0.03602223098278046,
0.022575195878744125,
0.00401407852768898,
-0.013822040520608425,
0.05063437297940254,
-0.020723778754472733,
-0.08135595172643661,
-0.04091404378414154,
-0.053881850093603134,
-0.028868768364191055,
-0.02528565190732479,
0.09173338115215302,
0.014572519809007645,
0.00988661590963602,
-0.05828164890408516,
0.11002180725336075,
-0.1231384128332138,
-0.0361054353415966,
0.04639659821987152,
0.019485948607325554,
-0.029069188982248306,
0.025569045916199684,
0.02845965512096882,
-0.03078058734536171,
-0.018202483654022217,
0.09013929963111877,
0.023226678371429443,
-0.044021133333444595,
-0.08167065680027008,
0.08382174372673035,
0.05544503033161163,
0.08803283423185349,
0.014025005511939526,
-0.05467281490564346,
0.011021175421774387,
0.007872981950640678,
0.03509964048862457,
-0.037473052740097046,
0.02428395114839077,
0.10339710861444473,
-0.010649221017956734,
0.0000524913048138842,
-0.01932414248585701,
-0.011303418315947056,
-0.02506488747894764,
0.07184157520532608,
-0.015784846618771553,
-0.007784826215356588,
-0.014900566078722477,
0.05177566036581993,
-0.05550765618681908,
0.03734097629785538,
0.010364244692027569,
-0.010510501451790333,
0.011034417897462845,
-0.0936325415968895,
0.014599461108446121,
-0.05952562391757965,
-0.04794003441929817,
0.025314925238490105,
0.015843791887164116,
-0.05028100684285164,
-0.05573023483157158,
0.1897260546684265,
0.03378508239984512,
0.05294490233063698,
0.010195557959377766,
0.026492148637771606,
-0.009192703291773796,
-0.06292503327131271,
-0.009995263069868088,
0.0676378682255745,
0.03490786999464035,
-0.03436475247144699,
0.07685909420251846,
0.03305310755968094,
0.03710555285215378,
-0.1053800880908966,
-0.006041328422725201,
0.08121510595083237,
0.013811914250254631,
0.03162798285484314,
-0.027749449014663696,
0.09761331230401993,
-0.02569643408060074,
-0.031545136123895645,
-0.07190549373626709,
0.06990662962198257,
0.008214239031076431,
0.004091018810868263,
-0.03085874207317829,
0.041602976620197296,
0.010678774677217007,
-0.10880870372056961,
0.02475873753428459,
-0.023901423439383507,
0.06939250975847244,
0.03531204164028168,
0.024639884009957314,
-1.1377040441532741e-33,
-0.02882770635187626,
0.04864614084362984,
-0.07488474994897842,
0.010672232136130333,
-0.002823986578732729,
0.001038918737322092,
0.06823975592851639,
0.03163144737482071,
-0.031007129698991776,
-0.054169319570064545,
0.02217475138604641,
0.044087763875722885,
-0.015464670956134796,
0.051086414605379105,
0.02490556798875332,
-0.08263763040304184,
-0.013395161367952824,
-0.025024956092238426,
0.03045828267931938,
0.008403707295656204,
0.025505725294351578,
-0.06612114608287811,
-0.09226655960083008,
-0.06240389123558998,
-0.0004267511540092528,
-0.043463848531246185,
0.005763249471783638,
-0.07166934758424759,
0.08368382602930069,
0.00555939506739378,
-0.050753403455019,
-0.055720455944538116,
0.030718430876731873,
-0.03857363760471344,
0.0354648195207119,
-0.03936320170760155,
-0.09278160333633423,
0.004977354779839516,
-0.037753235548734665,
-0.08210455626249313,
-0.02162252366542816,
0.0035292136017233133,
-0.06568068265914917,
-0.02663976512849331,
-0.04952029138803482,
-0.090853251516819,
0.010293648578226566,
-0.0120290732011199,
-0.13418620824813843,
-0.011536740697920322,
0.12084273993968964,
0.018798042088747025,
-0.0012402903521433473,
-0.016355575993657112,
0.023963896557688713,
0.0001817861630115658,
-0.01868726685643196,
0.08272519707679749,
0.005218029487878084,
0.04496130347251892,
0.0023922494146972895,
-0.025918709114193916,
-0.020075643435120583,
0.044868651777505875,
0.012422057799994946,
-0.058019205927848816,
0.02299443632364273,
0.003234488656744361,
0.05321922153234482,
0.07100103795528412,
-0.023419653996825218,
0.010138393379747868,
0.046329647302627563,
-0.0681203231215477,
-0.027701104059815407,
0.05049050599336624,
-0.005471903830766678,
0.000844476860947907,
-0.03990400210022926,
-0.008241594769060612,
0.030324837192893028,
0.015896199271082878,
0.034664932638406754,
-0.035981789231300354,
0.039604924619197845,
0.044572412967681885,
0.013374264352023602,
-0.07563487440347672,
-0.08771926164627075,
0.04156067222356796,
-0.009151996113359928,
0.027164919301867485,
0.0283267293125391,
0.012701942585408688,
0.04772487282752991,
1.7630545491632536e-33,
0.03728055953979492,
-0.002289085416123271,
-0.04357845336198807,
-0.020097052678465843,
0.030109720304608345,
-0.011446700431406498,
-0.036120202392339706,
-0.060649748891592026,
-0.02710060402750969,
-0.10896148532629013,
-0.10803861171007156,
-0.05486970394849777,
-0.028479378670454025,
0.07644663751125336,
-0.06092380732297897,
-0.02724621817469597,
0.0030439768452197313,
-0.041215680539608,
-0.04933268949389458,
-0.031157484278082848,
0.010980959981679916,
-0.05479246377944946,
-0.029437482357025146,
0.0005048273596912622,
0.024797139689326286,
0.0252683125436306,
0.022473052144050598,
0.08923070132732391,
-0.0003818041877821088,
0.018222806975245476,
-0.043392736464738846,
-0.1266535371541977,
0.007548858877271414,
-0.11955371499061584,
0.10026522725820541,
0.08246354013681412,
0.056732818484306335,
0.16975721716880798,
-0.0476049967110157,
0.060193803161382675,
0.09647271037101746,
-0.03900124505162239,
0.0101597486063838,
-0.01264321617782116,
0.03405264765024185,
0.03160618990659714,
-0.05418427288532257,
0.04556887224316597,
-0.19232159852981567,
-0.00834740698337555,
0.039457399398088455,
-0.01271846890449524,
-0.00021177779126446694,
0.029890427365899086,
0.029082391411066055,
-0.019842712208628654,
0.04000820219516754,
0.03233737125992775,
0.030819658190011978,
0.02761446312069893,
0.03505411371588707,
-0.03747783601284027,
-0.0685199499130249,
0.02464650385081768,
0.043228402733802795,
-0.018742108717560768,
0.04786640778183937,
-0.061620309948921204,
-0.08129023015499115,
0.09385797381401062,
-0.007156808860599995,
-0.04654249921441078,
-0.015137209556996822,
-0.01738789863884449,
0.04232453927397728,
0.0718475878238678,
0.011000254191458225,
0.03603726252913475,
-0.04198003187775612,
0.017633048817515373,
-0.07305748760700226,
0.10207823663949966,
0.004384651780128479,
-0.010565134696662426,
0.05166834965348244,
0.013081980869174004,
0.08591745793819427,
0.02692088484764099,
-0.0408601388335228,
-0.03754877299070358,
0.04703829810023308,
-0.017993781715631485,
-0.07023469358682632,
0.01911402866244316,
-0.0010080303763970733,
-4.472515513498365e-8,
-0.06432279199361801,
0.01851019635796547,
-0.012534708715975285,
0.004008980467915535,
0.031657785177230835,
-0.029021117836236954,
0.032865721732378006,
-0.027336249127984047,
0.1360950917005539,
-0.021827591583132744,
0.07463238388299942,
0.002412507077679038,
0.02034877799451351,
0.032637860625982285,
0.07071498036384583,
0.04789971560239792,
-0.04456935450434685,
-0.08623461425304413,
-0.021946877241134644,
0.06081606447696686,
-0.010086054913699627,
0.06054399907588959,
0.034847717732191086,
0.03259586542844772,
0.01808897778391838,
0.06779232621192932,
0.1156950294971466,
0.05450311303138733,
0.11013917624950409,
-0.016525618731975555,
-0.015473769046366215,
0.05987145006656647,
0.002169413957744837,
-0.0028283644933253527,
-0.09752786159515381,
-0.010598880238831043,
-0.0294162817299366,
0.011751617304980755,
-0.010958622209727764,
0.01712302304804325,
0.033367257565259933,
-0.04587788134813309,
-0.028250260278582573,
-0.014221376739442348,
0.0320831798017025,
0.006320009473711252,
-0.05936359986662865,
0.03302133083343506,
0.01567133702337742,
-0.045589104294776917,
-0.02020334079861641,
0.0037648044526576996,
-0.00888220313936472,
0.01739932782948017,
0.05331239104270935,
-0.08196322619915009,
0.07011836022138596,
-0.013300836086273193,
0.0418277382850647,
-0.015074243769049644,
-0.03820551186800003,
0.041896503418684006,
-0.06003500521183014,
0.034615468233823776
] | null | null | null | null | null | null | null |
[
-0.021542023867368698,
-0.03764508664608002,
0.028209079056978226,
-0.08174504339694977,
-0.006258888635784388,
-0.03865072876214981,
-0.013941746205091476,
0.014181689359247684,
-0.0038813522551208735,
0.03428103029727936,
-0.0682031512260437,
0.09399115294218063,
-0.0469854474067688,
0.024426739662885666,
0.0034669500309973955,
-0.0515478253364563,
0.15336182713508606,
-0.0015213042497634888,
-0.03985801711678505,
0.00878504104912281,
0.015455890446901321,
-0.05996977165341377,
0.032754022628068924,
-0.01888660155236721,
0.05057626962661743,
-0.03436178341507912,
-0.013105276972055435,
0.06133080646395683,
0.03602223098278046,
0.022575195878744125,
0.00401407852768898,
-0.013822040520608425,
0.05063437297940254,
-0.020723778754472733,
-0.08135595172643661,
-0.04091404378414154,
-0.053881850093603134,
-0.028868768364191055,
-0.02528565190732479,
0.09173338115215302,
0.014572519809007645,
0.00988661590963602,
-0.05828164890408516,
0.11002180725336075,
-0.1231384128332138,
-0.0361054353415966,
0.04639659821987152,
0.019485948607325554,
-0.029069188982248306,
0.025569045916199684,
0.02845965512096882,
-0.03078058734536171,
-0.018202483654022217,
0.09013929963111877,
0.023226678371429443,
-0.044021133333444595,
-0.08167065680027008,
0.08382174372673035,
0.05544503033161163,
0.08803283423185349,
0.014025005511939526,
-0.05467281490564346,
0.011021175421774387,
0.007872981950640678,
0.03509964048862457,
-0.037473052740097046,
0.02428395114839077,
0.10339710861444473,
-0.010649221017956734,
0.0000524913048138842,
-0.01932414248585701,
-0.011303418315947056,
-0.02506488747894764,
0.07184157520532608,
-0.015784846618771553,
-0.007784826215356588,
-0.014900566078722477,
0.05177566036581993,
-0.05550765618681908,
0.03734097629785538,
0.010364244692027569,
-0.010510501451790333,
0.011034417897462845,
-0.0936325415968895,
0.014599461108446121,
-0.05952562391757965,
-0.04794003441929817,
0.025314925238490105,
0.015843791887164116,
-0.05028100684285164,
-0.05573023483157158,
0.1897260546684265,
0.03378508239984512,
0.05294490233063698,
0.010195557959377766,
0.026492148637771606,
-0.009192703291773796,
-0.06292503327131271,
-0.009995263069868088,
0.0676378682255745,
0.03490786999464035,
-0.03436475247144699,
0.07685909420251846,
0.03305310755968094,
0.03710555285215378,
-0.1053800880908966,
-0.006041328422725201,
0.08121510595083237,
0.013811914250254631,
0.03162798285484314,
-0.027749449014663696,
0.09761331230401993,
-0.02569643408060074,
-0.031545136123895645,
-0.07190549373626709,
0.06990662962198257,
0.008214239031076431,
0.004091018810868263,
-0.03085874207317829,
0.041602976620197296,
0.010678774677217007,
-0.10880870372056961,
0.02475873753428459,
-0.023901423439383507,
0.06939250975847244,
0.03531204164028168,
0.024639884009957314,
-1.1377040441532741e-33,
-0.02882770635187626,
0.04864614084362984,
-0.07488474994897842,
0.010672232136130333,
-0.002823986578732729,
0.001038918737322092,
0.06823975592851639,
0.03163144737482071,
-0.031007129698991776,
-0.054169319570064545,
0.02217475138604641,
0.044087763875722885,
-0.015464670956134796,
0.051086414605379105,
0.02490556798875332,
-0.08263763040304184,
-0.013395161367952824,
-0.025024956092238426,
0.03045828267931938,
0.008403707295656204,
0.025505725294351578,
-0.06612114608287811,
-0.09226655960083008,
-0.06240389123558998,
-0.0004267511540092528,
-0.043463848531246185,
0.005763249471783638,
-0.07166934758424759,
0.08368382602930069,
0.00555939506739378,
-0.050753403455019,
-0.055720455944538116,
0.030718430876731873,
-0.03857363760471344,
0.0354648195207119,
-0.03936320170760155,
-0.09278160333633423,
0.004977354779839516,
-0.037753235548734665,
-0.08210455626249313,
-0.02162252366542816,
0.0035292136017233133,
-0.06568068265914917,
-0.02663976512849331,
-0.04952029138803482,
-0.090853251516819,
0.010293648578226566,
-0.0120290732011199,
-0.13418620824813843,
-0.011536740697920322,
0.12084273993968964,
0.018798042088747025,
-0.0012402903521433473,
-0.016355575993657112,
0.023963896557688713,
0.0001817861630115658,
-0.01868726685643196,
0.08272519707679749,
0.005218029487878084,
0.04496130347251892,
0.0023922494146972895,
-0.025918709114193916,
-0.020075643435120583,
0.044868651777505875,
0.012422057799994946,
-0.058019205927848816,
0.02299443632364273,
0.003234488656744361,
0.05321922153234482,
0.07100103795528412,
-0.023419653996825218,
0.010138393379747868,
0.046329647302627563,
-0.0681203231215477,
-0.027701104059815407,
0.05049050599336624,
-0.005471903830766678,
0.000844476860947907,
-0.03990400210022926,
-0.008241594769060612,
0.030324837192893028,
0.015896199271082878,
0.034664932638406754,
-0.035981789231300354,
0.039604924619197845,
0.044572412967681885,
0.013374264352023602,
-0.07563487440347672,
-0.08771926164627075,
0.04156067222356796,
-0.009151996113359928,
0.027164919301867485,
0.0283267293125391,
0.012701942585408688,
0.04772487282752991,
1.7630545491632536e-33,
0.03728055953979492,
-0.002289085416123271,
-0.04357845336198807,
-0.020097052678465843,
0.030109720304608345,
-0.011446700431406498,
-0.036120202392339706,
-0.060649748891592026,
-0.02710060402750969,
-0.10896148532629013,
-0.10803861171007156,
-0.05486970394849777,
-0.028479378670454025,
0.07644663751125336,
-0.06092380732297897,
-0.02724621817469597,
0.0030439768452197313,
-0.041215680539608,
-0.04933268949389458,
-0.031157484278082848,
0.010980959981679916,
-0.05479246377944946,
-0.029437482357025146,
0.0005048273596912622,
0.024797139689326286,
0.0252683125436306,
0.022473052144050598,
0.08923070132732391,
-0.0003818041877821088,
0.018222806975245476,
-0.043392736464738846,
-0.1266535371541977,
0.007548858877271414,
-0.11955371499061584,
0.10026522725820541,
0.08246354013681412,
0.056732818484306335,
0.16975721716880798,
-0.0476049967110157,
0.060193803161382675,
0.09647271037101746,
-0.03900124505162239,
0.0101597486063838,
-0.01264321617782116,
0.03405264765024185,
0.03160618990659714,
-0.05418427288532257,
0.04556887224316597,
-0.19232159852981567,
-0.00834740698337555,
0.039457399398088455,
-0.01271846890449524,
-0.00021177779126446694,
0.029890427365899086,
0.029082391411066055,
-0.019842712208628654,
0.04000820219516754,
0.03233737125992775,
0.030819658190011978,
0.02761446312069893,
0.03505411371588707,
-0.03747783601284027,
-0.0685199499130249,
0.02464650385081768,
0.043228402733802795,
-0.018742108717560768,
0.04786640778183937,
-0.061620309948921204,
-0.08129023015499115,
0.09385797381401062,
-0.007156808860599995,
-0.04654249921441078,
-0.015137209556996822,
-0.01738789863884449,
0.04232453927397728,
0.0718475878238678,
0.011000254191458225,
0.03603726252913475,
-0.04198003187775612,
0.017633048817515373,
-0.07305748760700226,
0.10207823663949966,
0.004384651780128479,
-0.010565134696662426,
0.05166834965348244,
0.013081980869174004,
0.08591745793819427,
0.02692088484764099,
-0.0408601388335228,
-0.03754877299070358,
0.04703829810023308,
-0.017993781715631485,
-0.07023469358682632,
0.01911402866244316,
-0.0010080303763970733,
-4.472515513498365e-8,
-0.06432279199361801,
0.01851019635796547,
-0.012534708715975285,
0.004008980467915535,
0.031657785177230835,
-0.029021117836236954,
0.032865721732378006,
-0.027336249127984047,
0.1360950917005539,
-0.021827591583132744,
0.07463238388299942,
0.002412507077679038,
0.02034877799451351,
0.032637860625982285,
0.07071498036384583,
0.04789971560239792,
-0.04456935450434685,
-0.08623461425304413,
-0.021946877241134644,
0.06081606447696686,
-0.010086054913699627,
0.06054399907588959,
0.034847717732191086,
0.03259586542844772,
0.01808897778391838,
0.06779232621192932,
0.1156950294971466,
0.05450311303138733,
0.11013917624950409,
-0.016525618731975555,
-0.015473769046366215,
0.05987145006656647,
0.002169413957744837,
-0.0028283644933253527,
-0.09752786159515381,
-0.010598880238831043,
-0.0294162817299366,
0.011751617304980755,
-0.010958622209727764,
0.01712302304804325,
0.033367257565259933,
-0.04587788134813309,
-0.028250260278582573,
-0.014221376739442348,
0.0320831798017025,
0.006320009473711252,
-0.05936359986662865,
0.03302133083343506,
0.01567133702337742,
-0.045589104294776917,
-0.02020334079861641,
0.0037648044526576996,
-0.00888220313936472,
0.01739932782948017,
0.05331239104270935,
-0.08196322619915009,
0.07011836022138596,
-0.013300836086273193,
0.0418277382850647,
-0.015074243769049644,
-0.03820551186800003,
0.041896503418684006,
-0.06003500521183014,
0.034615468233823776
] |
1401.6481
|
Robin Thomas
|
Neil Robertson, Daniel P. Sanders, Paul Seymour and Robin Thomas
|
Reducibility in the Four-Color Theorem
|
8 pages, 2 ancillary files. These files were originally posted on an
anonymous ftp server and later (after the server's shutdown) were relocated
to the last author's website
| null | null | null |
math.CO cs.DM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In [J. Combin. Theory Ser. B 70 (1997), 2-44] we gave a simplified proof of
the Four-Color Theorem. The proof is computer-assisted in the sense that for
two lemmas in the article we did not give proofs, and instead asserted that we
have verified those statements using a computer. Here we give additional
details for one of those lemmas, and we include the original computer programs
and data as "ancillary files" accompanying this submission.
|
[
{
"created": "Sat, 25 Jan 2014 01:26:34 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Robertson",
"Neil",
""
],
[
"Sanders",
"Daniel P.",
""
],
[
"Seymour",
"Paul",
""
],
[
"Thomas",
"Robin",
""
]
] |
[
-0.016775431111454964,
0.07453779876232147,
0.05476934835314751,
-0.0046341740526258945,
0.01038436871021986,
0.0594770610332489,
0.091776043176651,
0.010957861319184303,
0.04621986672282219,
0.002064491854980588,
-0.03709206357598305,
-0.0070380098186433315,
0.08290287852287292,
0.009818026795983315,
-0.014968409202992916,
0.09099175035953522,
-0.10712657868862152,
-0.0313391275703907,
-0.07022035866975784,
-0.06082294508814812,
-0.029476197436451912,
-0.1166960820555687,
0.024632375687360764,
-0.04870696738362312,
-0.026062382385134697,
-0.05363363400101662,
-0.00480656698346138,
-0.03072420507669449,
0.05079348757863045,
0.03293812274932861,
-0.03728527948260307,
0.03836677595973015,
0.06367062777280807,
0.04345820099115372,
0.017630796879529953,
-0.03123755194246769,
0.08169105648994446,
0.014714890159666538,
-0.02030164934694767,
0.1069997176527977,
0.03493731468915939,
0.04526897892355919,
-0.033185336738824844,
0.027186114341020584,
-0.05590919032692909,
0.083232082426548,
-0.009124316275119781,
-0.0035199441481381655,
-0.10430449992418289,
-0.08978435397148132,
-0.025570446625351906,
0.013264322653412819,
-0.08722196519374847,
0.03917405381798744,
-0.00442552100867033,
-0.044785913079977036,
-0.005065564997494221,
-0.029141325503587723,
0.05132684111595154,
0.021160773932933807,
0.05140937864780426,
-0.042079322040081024,
-0.038178879767656326,
0.03223893791437149,
0.048298805952072144,
0.12059002369642258,
0.04608951508998871,
-0.05612994357943535,
-0.08212367445230484,
0.043198324739933014,
-0.0026762874331325293,
0.03150954842567444,
-0.057405952364206314,
0.007281969767063856,
0.012397673912346363,
0.05854794383049011,
0.03911473974585533,
0.027869030833244324,
-0.07838626205921173,
-0.13916848599910736,
-0.02710835076868534,
-0.056376513093709946,
-0.027895981445908546,
0.006523020565509796,
0.07850395888090134,
0.01020907424390316,
-0.10586338490247726,
-0.09450578689575195,
-0.04617536813020706,
-0.021642066538333893,
0.02991006150841713,
0.03115883655846119,
-0.030395841225981712,
0.02732410840690136,
0.00487020006403327,
-0.045274924486875534,
0.041786350309848785,
-0.028500784188508987,
0.10276606678962708,
0.05936009809374809,
0.0228563342243433,
-0.044635891914367676,
0.028544841334223747,
-0.012783575803041458,
0.043598007410764694,
0.004533594008535147,
0.052674923092126846,
0.05075586959719658,
-0.043304480612277985,
-0.03316966071724892,
0.1085343137383461,
-0.04147840291261673,
0.03790811076760292,
0.019012250006198883,
-0.06458534300327301,
0.018503664061427116,
0.0003381703281775117,
0.03461546450853348,
0.0033419174142181873,
-0.007833278737962246,
0.042298778891563416,
0.0015286520356312394,
-0.010586082935333252,
-0.014840954914689064,
0.04790740832686424,
-0.048518333584070206,
-0.05346929654479027,
1.9884058160945096e-33,
0.13413043320178986,
-0.008676701225340366,
0.0801093801856041,
0.018849054351449013,
0.08543314784765244,
0.04973749816417694,
-0.036868754774332047,
-0.048602890223264694,
-0.04313648119568825,
-0.037616100162267685,
0.04164113104343414,
0.018488973379135132,
-0.03830776736140251,
0.009076644666492939,
0.022412050515413284,
0.020831506699323654,
0.03727599233388901,
-0.019386563450098038,
-0.01575436256825924,
0.02143164724111557,
0.09977875649929047,
0.08057165890932083,
-0.004999904427677393,
-0.06271671503782272,
-0.011601638980209827,
0.03940857946872711,
0.053478971123695374,
0.005667717196047306,
0.0609651580452919,
0.010504361242055893,
-0.08662714064121246,
0.07809668779373169,
-0.0019164830446243286,
0.05256428197026253,
0.007138380780816078,
-0.01644572615623474,
-0.05257158726453781,
-0.02509506791830063,
-0.046839337795972824,
0.08368811756372452,
-0.07705419510602951,
0.07182586938142776,
-0.009212442673742771,
-0.08230509608983994,
0.06142715737223625,
-0.02462940476834774,
0.005426737014204264,
-0.01154008973389864,
-0.04691491276025772,
0.016314351931214333,
-0.0465167760848999,
0.021102065220475197,
-0.042204584926366806,
-0.06577129662036896,
0.0183839350938797,
-0.04286427050828934,
-0.05152563378214836,
0.013139991089701653,
0.09670029580593109,
0.08031322807073593,
0.004134687129408121,
0.06293366104364395,
-0.05951124429702759,
0.02020237408578396,
-0.014974860474467278,
0.027626557275652885,
-0.031382009387016296,
-0.008544765412807465,
0.055429767817258835,
0.005794197786599398,
-0.029400400817394257,
0.05475815013051033,
0.00870551634579897,
-0.08486805111169815,
0.05402921140193939,
-0.05806047096848488,
-0.00022880603501107544,
-0.09312278032302856,
-0.011471040546894073,
0.01808103732764721,
-0.03299283608794212,
-0.05112951621413231,
-0.01264266949146986,
-0.09249478578567505,
-0.07963798940181732,
-0.0664822980761528,
-0.0004443269863259047,
0.011242065578699112,
-0.023832669481635094,
-0.10451660305261612,
0.04266269505023956,
0.0062501863576471806,
-0.02567712403833866,
-0.042206164449453354,
-0.02911369502544403,
-3.647565215415297e-33,
-0.012070302851498127,
-0.0320885069668293,
-0.04651628062129021,
0.11329024285078049,
-0.06219751387834549,
0.00892630685120821,
0.04612834379076958,
0.08004701882600784,
-0.09819775819778442,
-0.015676775947213173,
0.08495751768350601,
0.03819122910499573,
-0.026622356846928596,
0.05472263693809509,
0.011580418795347214,
-0.007006621453911066,
-0.001198332291096449,
0.04262453317642212,
-0.07178661227226257,
0.013757207430899143,
-0.0012624188093468547,
0.004335916135460138,
0.006931003648787737,
-0.01228398084640503,
-0.004957061726599932,
0.0053990925662219524,
-0.03495575487613678,
0.03392781689763069,
-0.032764188945293427,
0.04824638366699219,
-0.02224591188132763,
-0.056687720119953156,
-0.09939533472061157,
-0.06594260782003403,
0.014675145037472248,
-0.0987233966588974,
0.09038763493299484,
0.040577661246061325,
-0.04404859244823456,
0.11349005997180939,
0.03359676152467728,
-0.05984088405966759,
0.051608942449092865,
0.04416339844465256,
0.025369688868522644,
-0.007698840461671352,
-0.012640106491744518,
0.0878959596157074,
-0.060362983494997025,
-0.07505747675895691,
0.02533913403749466,
-0.07712917774915695,
0.04032289609313011,
-0.06869307905435562,
0.013701807707548141,
-0.028209595009684563,
-0.0062919361516833305,
0.008912276476621628,
-0.01883312314748764,
0.05235105752944946,
-0.0456925705075264,
-0.04745674505829811,
-0.022266842424869537,
0.017414426431059837,
0.07051772624254227,
-0.03910106047987938,
-0.07961929589509964,
-0.029895104467868805,
0.054614342749118805,
-0.04299584776163101,
-0.00536367017775774,
-0.062319524586200714,
-0.060431551188230515,
-0.021696550771594048,
0.07299716770648956,
0.062419742345809937,
0.03183518722653389,
-0.056093789637088776,
-0.04432429000735283,
0.12035144120454788,
-0.02896818518638611,
0.0004687077598646283,
0.09176893532276154,
-0.011646119877696037,
0.008933914825320244,
-0.08588182181119919,
0.011487078852951527,
-0.04153230041265488,
0.033104512840509415,
-0.027918679639697075,
-0.020126231014728546,
0.05284707620739937,
0.04531024396419525,
0.09248827397823334,
0.007815779186785221,
-4.4803897480960586e-8,
-0.03210759907960892,
0.0427117757499218,
0.03484303131699562,
0.00854804739356041,
0.04415072128176689,
-0.08691374212503433,
0.01943080872297287,
-0.0011768200201913714,
-0.025852594524621964,
0.07211223244667053,
0.02883026748895645,
0.05380355194211006,
-0.051001474261283875,
-0.028022002428770065,
0.03504754975438118,
0.019826192408800125,
-0.00891485158354044,
-0.08005879074335098,
0.013240923173725605,
0.06958670169115067,
-0.04099254310131073,
-0.01960390992462635,
0.02590583637356758,
0.005137940403074026,
-0.0558050163090229,
0.02839145064353943,
-0.026324208825826645,
-0.008863496594130993,
-0.02640613541007042,
0.05751386284828186,
-0.0026029893197119236,
0.0180557481944561,
0.06322051584720612,
-0.0443204827606678,
0.011951620690524578,
-0.0112560223788023,
-0.04940013960003853,
0.10291037708520889,
-0.009086241945624352,
-0.10091105848550797,
-0.0796910747885704,
-0.02726420946419239,
-0.050219178199768066,
-0.007681547198444605,
0.08811891078948975,
-0.08086482435464859,
-0.044112060219049454,
0.026529649272561073,
-0.12699969112873077,
0.10133156180381775,
-0.040697548538446426,
-0.02478421851992607,
-0.0053844447247684,
0.04127683863043785,
-0.006702069193124771,
-0.10009847581386566,
0.04862191900610924,
0.024808205664157867,
0.025570956990122795,
-0.053842782974243164,
-0.02125571109354496,
0.06885648518800735,
0.04129081219434738,
0.01793099381029606
] | null | null | null | null | null | null | null |
[
-0.016775431111454964,
0.07453779876232147,
0.05476934835314751,
-0.0046341740526258945,
0.01038436871021986,
0.0594770610332489,
0.091776043176651,
0.010957861319184303,
0.04621986672282219,
0.002064491854980588,
-0.03709206357598305,
-0.0070380098186433315,
0.08290287852287292,
0.009818026795983315,
-0.014968409202992916,
0.09099175035953522,
-0.10712657868862152,
-0.0313391275703907,
-0.07022035866975784,
-0.06082294508814812,
-0.029476197436451912,
-0.1166960820555687,
0.024632375687360764,
-0.04870696738362312,
-0.026062382385134697,
-0.05363363400101662,
-0.00480656698346138,
-0.03072420507669449,
0.05079348757863045,
0.03293812274932861,
-0.03728527948260307,
0.03836677595973015,
0.06367062777280807,
0.04345820099115372,
0.017630796879529953,
-0.03123755194246769,
0.08169105648994446,
0.014714890159666538,
-0.02030164934694767,
0.1069997176527977,
0.03493731468915939,
0.04526897892355919,
-0.033185336738824844,
0.027186114341020584,
-0.05590919032692909,
0.083232082426548,
-0.009124316275119781,
-0.0035199441481381655,
-0.10430449992418289,
-0.08978435397148132,
-0.025570446625351906,
0.013264322653412819,
-0.08722196519374847,
0.03917405381798744,
-0.00442552100867033,
-0.044785913079977036,
-0.005065564997494221,
-0.029141325503587723,
0.05132684111595154,
0.021160773932933807,
0.05140937864780426,
-0.042079322040081024,
-0.038178879767656326,
0.03223893791437149,
0.048298805952072144,
0.12059002369642258,
0.04608951508998871,
-0.05612994357943535,
-0.08212367445230484,
0.043198324739933014,
-0.0026762874331325293,
0.03150954842567444,
-0.057405952364206314,
0.007281969767063856,
0.012397673912346363,
0.05854794383049011,
0.03911473974585533,
0.027869030833244324,
-0.07838626205921173,
-0.13916848599910736,
-0.02710835076868534,
-0.056376513093709946,
-0.027895981445908546,
0.006523020565509796,
0.07850395888090134,
0.01020907424390316,
-0.10586338490247726,
-0.09450578689575195,
-0.04617536813020706,
-0.021642066538333893,
0.02991006150841713,
0.03115883655846119,
-0.030395841225981712,
0.02732410840690136,
0.00487020006403327,
-0.045274924486875534,
0.041786350309848785,
-0.028500784188508987,
0.10276606678962708,
0.05936009809374809,
0.0228563342243433,
-0.044635891914367676,
0.028544841334223747,
-0.012783575803041458,
0.043598007410764694,
0.004533594008535147,
0.052674923092126846,
0.05075586959719658,
-0.043304480612277985,
-0.03316966071724892,
0.1085343137383461,
-0.04147840291261673,
0.03790811076760292,
0.019012250006198883,
-0.06458534300327301,
0.018503664061427116,
0.0003381703281775117,
0.03461546450853348,
0.0033419174142181873,
-0.007833278737962246,
0.042298778891563416,
0.0015286520356312394,
-0.010586082935333252,
-0.014840954914689064,
0.04790740832686424,
-0.048518333584070206,
-0.05346929654479027,
1.9884058160945096e-33,
0.13413043320178986,
-0.008676701225340366,
0.0801093801856041,
0.018849054351449013,
0.08543314784765244,
0.04973749816417694,
-0.036868754774332047,
-0.048602890223264694,
-0.04313648119568825,
-0.037616100162267685,
0.04164113104343414,
0.018488973379135132,
-0.03830776736140251,
0.009076644666492939,
0.022412050515413284,
0.020831506699323654,
0.03727599233388901,
-0.019386563450098038,
-0.01575436256825924,
0.02143164724111557,
0.09977875649929047,
0.08057165890932083,
-0.004999904427677393,
-0.06271671503782272,
-0.011601638980209827,
0.03940857946872711,
0.053478971123695374,
0.005667717196047306,
0.0609651580452919,
0.010504361242055893,
-0.08662714064121246,
0.07809668779373169,
-0.0019164830446243286,
0.05256428197026253,
0.007138380780816078,
-0.01644572615623474,
-0.05257158726453781,
-0.02509506791830063,
-0.046839337795972824,
0.08368811756372452,
-0.07705419510602951,
0.07182586938142776,
-0.009212442673742771,
-0.08230509608983994,
0.06142715737223625,
-0.02462940476834774,
0.005426737014204264,
-0.01154008973389864,
-0.04691491276025772,
0.016314351931214333,
-0.0465167760848999,
0.021102065220475197,
-0.042204584926366806,
-0.06577129662036896,
0.0183839350938797,
-0.04286427050828934,
-0.05152563378214836,
0.013139991089701653,
0.09670029580593109,
0.08031322807073593,
0.004134687129408121,
0.06293366104364395,
-0.05951124429702759,
0.02020237408578396,
-0.014974860474467278,
0.027626557275652885,
-0.031382009387016296,
-0.008544765412807465,
0.055429767817258835,
0.005794197786599398,
-0.029400400817394257,
0.05475815013051033,
0.00870551634579897,
-0.08486805111169815,
0.05402921140193939,
-0.05806047096848488,
-0.00022880603501107544,
-0.09312278032302856,
-0.011471040546894073,
0.01808103732764721,
-0.03299283608794212,
-0.05112951621413231,
-0.01264266949146986,
-0.09249478578567505,
-0.07963798940181732,
-0.0664822980761528,
-0.0004443269863259047,
0.011242065578699112,
-0.023832669481635094,
-0.10451660305261612,
0.04266269505023956,
0.0062501863576471806,
-0.02567712403833866,
-0.042206164449453354,
-0.02911369502544403,
-3.647565215415297e-33,
-0.012070302851498127,
-0.0320885069668293,
-0.04651628062129021,
0.11329024285078049,
-0.06219751387834549,
0.00892630685120821,
0.04612834379076958,
0.08004701882600784,
-0.09819775819778442,
-0.015676775947213173,
0.08495751768350601,
0.03819122910499573,
-0.026622356846928596,
0.05472263693809509,
0.011580418795347214,
-0.007006621453911066,
-0.001198332291096449,
0.04262453317642212,
-0.07178661227226257,
0.013757207430899143,
-0.0012624188093468547,
0.004335916135460138,
0.006931003648787737,
-0.01228398084640503,
-0.004957061726599932,
0.0053990925662219524,
-0.03495575487613678,
0.03392781689763069,
-0.032764188945293427,
0.04824638366699219,
-0.02224591188132763,
-0.056687720119953156,
-0.09939533472061157,
-0.06594260782003403,
0.014675145037472248,
-0.0987233966588974,
0.09038763493299484,
0.040577661246061325,
-0.04404859244823456,
0.11349005997180939,
0.03359676152467728,
-0.05984088405966759,
0.051608942449092865,
0.04416339844465256,
0.025369688868522644,
-0.007698840461671352,
-0.012640106491744518,
0.0878959596157074,
-0.060362983494997025,
-0.07505747675895691,
0.02533913403749466,
-0.07712917774915695,
0.04032289609313011,
-0.06869307905435562,
0.013701807707548141,
-0.028209595009684563,
-0.0062919361516833305,
0.008912276476621628,
-0.01883312314748764,
0.05235105752944946,
-0.0456925705075264,
-0.04745674505829811,
-0.022266842424869537,
0.017414426431059837,
0.07051772624254227,
-0.03910106047987938,
-0.07961929589509964,
-0.029895104467868805,
0.054614342749118805,
-0.04299584776163101,
-0.00536367017775774,
-0.062319524586200714,
-0.060431551188230515,
-0.021696550771594048,
0.07299716770648956,
0.062419742345809937,
0.03183518722653389,
-0.056093789637088776,
-0.04432429000735283,
0.12035144120454788,
-0.02896818518638611,
0.0004687077598646283,
0.09176893532276154,
-0.011646119877696037,
0.008933914825320244,
-0.08588182181119919,
0.011487078852951527,
-0.04153230041265488,
0.033104512840509415,
-0.027918679639697075,
-0.020126231014728546,
0.05284707620739937,
0.04531024396419525,
0.09248827397823334,
0.007815779186785221,
-4.4803897480960586e-8,
-0.03210759907960892,
0.0427117757499218,
0.03484303131699562,
0.00854804739356041,
0.04415072128176689,
-0.08691374212503433,
0.01943080872297287,
-0.0011768200201913714,
-0.025852594524621964,
0.07211223244667053,
0.02883026748895645,
0.05380355194211006,
-0.051001474261283875,
-0.028022002428770065,
0.03504754975438118,
0.019826192408800125,
-0.00891485158354044,
-0.08005879074335098,
0.013240923173725605,
0.06958670169115067,
-0.04099254310131073,
-0.01960390992462635,
0.02590583637356758,
0.005137940403074026,
-0.0558050163090229,
0.02839145064353943,
-0.026324208825826645,
-0.008863496594130993,
-0.02640613541007042,
0.05751386284828186,
-0.0026029893197119236,
0.0180557481944561,
0.06322051584720612,
-0.0443204827606678,
0.011951620690524578,
-0.0112560223788023,
-0.04940013960003853,
0.10291037708520889,
-0.009086241945624352,
-0.10091105848550797,
-0.0796910747885704,
-0.02726420946419239,
-0.050219178199768066,
-0.007681547198444605,
0.08811891078948975,
-0.08086482435464859,
-0.044112060219049454,
0.026529649272561073,
-0.12699969112873077,
0.10133156180381775,
-0.040697548538446426,
-0.02478421851992607,
-0.0053844447247684,
0.04127683863043785,
-0.006702069193124771,
-0.10009847581386566,
0.04862191900610924,
0.024808205664157867,
0.025570956990122795,
-0.053842782974243164,
-0.02125571109354496,
0.06885648518800735,
0.04129081219434738,
0.01793099381029606
] |
1401.6482
|
Aria Ghasemian Sahebi
|
Aria G. Sahebi and S. Sandeep Pradhan
|
Nested Polar Codes Achieve the Shannon Rate-Distortion Function and the
Shannon Capacity
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that nested polar codes achieve the Shannon rate-distortion
function for arbitrary (binary or non-binary) discrete memoryless sources and
the Shannon capacity of arbitrary discrete memoryless channels.
|
[
{
"created": "Sat, 25 Jan 2014 01:26:53 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Sahebi",
"Aria G.",
""
],
[
"Pradhan",
"S. Sandeep",
""
]
] |
[
-0.001953644212335348,
-0.008584571070969105,
-0.0897275060415268,
0.021669931709766388,
-0.0392824150621891,
0.003864540485665202,
-0.005169025156646967,
-0.08879155665636063,
0.022287452593445778,
0.04959208518266678,
0.03702433407306671,
0.07178643345832825,
0.06653112173080444,
-0.05262577161192894,
0.05820009112358093,
0.06315100938081741,
-0.048258181661367416,
0.004281146451830864,
0.0324484221637249,
0.04653555527329445,
0.10294002294540405,
-0.04082852229475975,
-0.005078093148767948,
0.0032416884787380695,
0.02435481548309326,
0.027783377096056938,
-0.007983410730957985,
0.01038734894245863,
0.04104549065232277,
-0.026611464098095894,
0.04560044780373573,
0.006254220847040415,
0.0379348024725914,
0.06524158269166946,
-0.0012018975103273988,
0.02686387114226818,
0.07596016675233841,
-0.015823356807231903,
-0.05182608589529991,
0.12051143497228622,
-0.001609403290785849,
0.12548832595348358,
-0.015665536746382713,
-0.016242271289229393,
-0.05036623403429985,
0.021678587421774864,
0.030639948323369026,
0.003984565380960703,
-0.07175005227327347,
-0.15388123691082,
0.031209295615553856,
0.05138630419969559,
-0.018274085596203804,
0.026665719226002693,
0.03564617037773132,
-0.08012909442186356,
-0.09823425114154816,
-0.025191953405737877,
-0.07885842770338058,
0.036223288625478745,
-0.0012404514709487557,
0.013393677771091461,
0.012541023083031178,
-0.05130862072110176,
-0.026537951081991196,
0.0404367633163929,
0.036773063242435455,
0.057909343391656876,
-0.033297788351774216,
0.0007685025921091437,
-0.0862506851553917,
-0.09316516667604446,
-0.049390342086553574,
0.028926953673362732,
0.0666034147143364,
-0.06495358794927597,
0.032284658402204514,
0.0624970942735672,
0.034375082701444626,
0.014812381938099861,
-0.08109994977712631,
-0.10955452919006348,
-0.05577368289232254,
0.02879287488758564,
0.05104389041662216,
-0.03463677316904068,
0.06084270775318146,
0.05083823204040527,
-0.03302891179919243,
0.020064974203705788,
-0.11708852648735046,
-0.02761731669306755,
0.03672133758664131,
0.02238575741648674,
-0.005110919941216707,
-0.061652567237615585,
-0.038531094789505005,
-0.019955063238739967,
-0.006268718745559454,
-0.009431960061192513,
0.06666318327188492,
0.009560334496200085,
-0.06243518367409706,
-0.04124611243605614,
-0.04739704355597496,
-0.022832948714494705,
0.0398041307926178,
0.1193767562508583,
0.03395550698041916,
0.06899040937423706,
-0.024778753519058228,
0.060029178857803345,
-0.02898584119975567,
-0.020207928493618965,
-0.03263760358095169,
0.0370204895734787,
-0.017888467758893967,
0.0558726005256176,
0.010500806383788586,
0.035007186233997345,
-0.021908516064286232,
-0.07399436831474304,
-0.05728138983249664,
0.10649404674768448,
-0.07432135939598083,
-0.019097458571195602,
0.021410465240478516,
-1.4762094074851413e-33,
0.009205222129821777,
0.09605439007282257,
-0.07998502999544144,
-0.04184238612651825,
0.033761460334062576,
0.10558738559484482,
-0.02258809469640255,
-0.04093139246106148,
0.028193864971399307,
-0.012177817523479462,
-0.02614319883286953,
0.03712782263755798,
-0.004291042685508728,
0.04895087704062462,
0.04701201245188713,
0.04022544249892235,
-0.10504696518182755,
0.03164171427488327,
0.06914091110229492,
-0.0602552555501461,
-0.051234710961580276,
0.0118779968470335,
-0.02812892571091652,
-0.036738064140081406,
0.03644777089357376,
-0.02841997519135475,
-0.05311528965830803,
-0.036219820380210876,
-0.005156604573130608,
0.006462146062403917,
-0.023486483842134476,
0.018551817163825035,
-0.03591292351484299,
-0.025852685794234276,
0.049936261028051376,
-0.011785208247601986,
0.026770388707518578,
-0.002098487224429846,
-0.07205507159233093,
0.005838553421199322,
0.07951898127794266,
-0.02614261396229267,
0.01984783262014389,
-0.06688113510608673,
-0.056325387209653854,
-0.08385051786899567,
0.02055753394961357,
-0.006906133145093918,
-0.08494565635919571,
0.009106730110943317,
0.03376634046435356,
0.02877519093453884,
-0.08182097971439362,
0.0570644773542881,
0.06510147452354431,
-0.019464801996946335,
0.0009936467977240682,
0.0531044527888298,
0.011613336391746998,
0.15542788803577423,
-0.047972213476896286,
-0.005525386426597834,
0.0782892256975174,
-0.11984504014253616,
0.04657644033432007,
0.01597937010228634,
-0.006344546563923359,
-0.04938521236181259,
0.003904551500454545,
-0.05764675885438919,
0.015293115749955177,
0.02325288951396942,
-0.01718975231051445,
-0.01564900390803814,
-0.025118233636021614,
0.0008994383970275521,
0.007184674963355064,
-0.06482569128274918,
0.014642729423940182,
0.05342171713709831,
-0.0395997129380703,
-0.03594893589615822,
0.03241517022252083,
0.016379207372665405,
-0.06455705314874649,
0.04013575613498688,
0.06843011826276779,
-0.007476865313947201,
-0.10180747509002686,
0.013671856373548508,
-0.09507432579994202,
-0.0321444571018219,
0.09194378554821014,
-0.08492502570152283,
0.008573496714234352,
-1.1453917772076519e-33,
-0.10518141835927963,
0.05955905467271805,
-0.023145388811826706,
0.03060169517993927,
-0.07570143043994904,
-0.048925645649433136,
0.03192704916000366,
0.022035036236047745,
0.033889543265104294,
0.009915492497384548,
-0.006115581840276718,
-0.07239527255296707,
0.020113691687583923,
0.032285407185554504,
-0.03724750876426697,
-0.012489906512200832,
-0.042150601744651794,
0.04890244081616402,
0.02121572382748127,
0.011060820892453194,
0.03459231182932854,
0.11197096109390259,
0.07344991713762283,
0.02842940390110016,
0.002789111342281103,
0.05770554021000862,
0.02584187313914299,
0.08988653123378754,
0.0931788980960846,
-0.06090637668967247,
0.08088067173957825,
0.04051383584737778,
0.009789127856492996,
-0.030735226348042488,
-0.03210524097084999,
0.0306540634483099,
0.015093233436346054,
0.06214267015457153,
0.009989668615162373,
-0.02775026299059391,
0.041252654045820236,
0.02981611341238022,
0.01949550025165081,
0.01964237540960312,
0.03730737045407295,
-0.08235227316617966,
0.003648989601060748,
0.054119449108839035,
0.013333531096577644,
-0.003621563781052828,
-0.024660302326083183,
-0.005390208214521408,
0.011043433099985123,
0.0786527469754219,
-0.04674293100833893,
-0.037889786064624786,
-0.07894271612167358,
0.0904371589422226,
0.07542049139738083,
-0.0016160074155777693,
-0.07961549609899521,
-0.034603942185640335,
0.01411801390349865,
-0.029729953035712242,
0.003007798222824931,
-0.08295479416847229,
0.07111826539039612,
-0.043500084429979324,
0.027181783691048622,
0.008311250247061253,
0.042694080621004105,
0.041208039969205856,
-0.012648608535528183,
0.003749507712200284,
-0.0041772774420678616,
0.048895787447690964,
-0.022598687559366226,
0.042632315307855606,
-0.0797601118683815,
0.009065189398825169,
-0.026932088658213615,
0.11321011930704117,
-0.07794973254203796,
0.003667626064270735,
0.058306366205215454,
-0.014562424272298813,
0.08178561925888062,
-0.04566732421517372,
-0.00973932258784771,
-0.08823857456445694,
0.051555246114730835,
0.06371419131755829,
-0.011998265981674194,
0.03683658689260483,
0.07693147659301758,
-2.6916895379258676e-8,
-0.01445895154029131,
-0.07249055802822113,
-0.06398839503526688,
-0.008999048732221127,
0.08445225656032562,
-0.07970456779003143,
-0.00420674541965127,
-0.024343710392713547,
0.004590395838022232,
-0.029314491897821426,
0.05783440172672272,
0.018397526815533638,
-0.05868198350071907,
-0.0330636166036129,
0.04579005390405655,
-0.00855825562030077,
-0.010698779486119747,
-0.05833873152732849,
0.08080853521823883,
0.057222895324230194,
-0.02914295345544815,
-0.04096069559454918,
-0.03554774820804596,
0.05261656269431114,
0.007646461948752403,
-0.04020493105053902,
0.09420257806777954,
-0.04891999810934067,
-0.0145190404728055,
-0.0004851537523791194,
0.033880844712257385,
0.07365922629833221,
0.006031908560544252,
0.050046972930431366,
-0.02889660932123661,
-0.07670067250728607,
-0.007549093570560217,
0.04331366345286369,
-0.043774623423814774,
-0.007262596394866705,
-0.0009458433487452567,
-0.06336470693349838,
-0.06112407520413399,
-0.026299044489860535,
-0.021355152130126953,
-0.002810451667755842,
0.02908950485289097,
0.03351704031229019,
-0.08405271917581558,
0.03824988752603531,
0.005863566417247057,
0.08670435100793839,
-0.027740487828850746,
-0.11044956743717194,
-0.02215859293937683,
-0.014326037839055061,
-0.0328289233148098,
-0.08060412108898163,
0.01330182608217001,
0.050548404455184937,
-0.020292513072490692,
0.07305091619491577,
-0.12307466566562653,
-0.047119852155447006
] | null | null | null | null | null | null | null |
[
-0.001953644212335348,
-0.008584571070969105,
-0.0897275060415268,
0.021669931709766388,
-0.0392824150621891,
0.003864540485665202,
-0.005169025156646967,
-0.08879155665636063,
0.022287452593445778,
0.04959208518266678,
0.03702433407306671,
0.07178643345832825,
0.06653112173080444,
-0.05262577161192894,
0.05820009112358093,
0.06315100938081741,
-0.048258181661367416,
0.004281146451830864,
0.0324484221637249,
0.04653555527329445,
0.10294002294540405,
-0.04082852229475975,
-0.005078093148767948,
0.0032416884787380695,
0.02435481548309326,
0.027783377096056938,
-0.007983410730957985,
0.01038734894245863,
0.04104549065232277,
-0.026611464098095894,
0.04560044780373573,
0.006254220847040415,
0.0379348024725914,
0.06524158269166946,
-0.0012018975103273988,
0.02686387114226818,
0.07596016675233841,
-0.015823356807231903,
-0.05182608589529991,
0.12051143497228622,
-0.001609403290785849,
0.12548832595348358,
-0.015665536746382713,
-0.016242271289229393,
-0.05036623403429985,
0.021678587421774864,
0.030639948323369026,
0.003984565380960703,
-0.07175005227327347,
-0.15388123691082,
0.031209295615553856,
0.05138630419969559,
-0.018274085596203804,
0.026665719226002693,
0.03564617037773132,
-0.08012909442186356,
-0.09823425114154816,
-0.025191953405737877,
-0.07885842770338058,
0.036223288625478745,
-0.0012404514709487557,
0.013393677771091461,
0.012541023083031178,
-0.05130862072110176,
-0.026537951081991196,
0.0404367633163929,
0.036773063242435455,
0.057909343391656876,
-0.033297788351774216,
0.0007685025921091437,
-0.0862506851553917,
-0.09316516667604446,
-0.049390342086553574,
0.028926953673362732,
0.0666034147143364,
-0.06495358794927597,
0.032284658402204514,
0.0624970942735672,
0.034375082701444626,
0.014812381938099861,
-0.08109994977712631,
-0.10955452919006348,
-0.05577368289232254,
0.02879287488758564,
0.05104389041662216,
-0.03463677316904068,
0.06084270775318146,
0.05083823204040527,
-0.03302891179919243,
0.020064974203705788,
-0.11708852648735046,
-0.02761731669306755,
0.03672133758664131,
0.02238575741648674,
-0.005110919941216707,
-0.061652567237615585,
-0.038531094789505005,
-0.019955063238739967,
-0.006268718745559454,
-0.009431960061192513,
0.06666318327188492,
0.009560334496200085,
-0.06243518367409706,
-0.04124611243605614,
-0.04739704355597496,
-0.022832948714494705,
0.0398041307926178,
0.1193767562508583,
0.03395550698041916,
0.06899040937423706,
-0.024778753519058228,
0.060029178857803345,
-0.02898584119975567,
-0.020207928493618965,
-0.03263760358095169,
0.0370204895734787,
-0.017888467758893967,
0.0558726005256176,
0.010500806383788586,
0.035007186233997345,
-0.021908516064286232,
-0.07399436831474304,
-0.05728138983249664,
0.10649404674768448,
-0.07432135939598083,
-0.019097458571195602,
0.021410465240478516,
-1.4762094074851413e-33,
0.009205222129821777,
0.09605439007282257,
-0.07998502999544144,
-0.04184238612651825,
0.033761460334062576,
0.10558738559484482,
-0.02258809469640255,
-0.04093139246106148,
0.028193864971399307,
-0.012177817523479462,
-0.02614319883286953,
0.03712782263755798,
-0.004291042685508728,
0.04895087704062462,
0.04701201245188713,
0.04022544249892235,
-0.10504696518182755,
0.03164171427488327,
0.06914091110229492,
-0.0602552555501461,
-0.051234710961580276,
0.0118779968470335,
-0.02812892571091652,
-0.036738064140081406,
0.03644777089357376,
-0.02841997519135475,
-0.05311528965830803,
-0.036219820380210876,
-0.005156604573130608,
0.006462146062403917,
-0.023486483842134476,
0.018551817163825035,
-0.03591292351484299,
-0.025852685794234276,
0.049936261028051376,
-0.011785208247601986,
0.026770388707518578,
-0.002098487224429846,
-0.07205507159233093,
0.005838553421199322,
0.07951898127794266,
-0.02614261396229267,
0.01984783262014389,
-0.06688113510608673,
-0.056325387209653854,
-0.08385051786899567,
0.02055753394961357,
-0.006906133145093918,
-0.08494565635919571,
0.009106730110943317,
0.03376634046435356,
0.02877519093453884,
-0.08182097971439362,
0.0570644773542881,
0.06510147452354431,
-0.019464801996946335,
0.0009936467977240682,
0.0531044527888298,
0.011613336391746998,
0.15542788803577423,
-0.047972213476896286,
-0.005525386426597834,
0.0782892256975174,
-0.11984504014253616,
0.04657644033432007,
0.01597937010228634,
-0.006344546563923359,
-0.04938521236181259,
0.003904551500454545,
-0.05764675885438919,
0.015293115749955177,
0.02325288951396942,
-0.01718975231051445,
-0.01564900390803814,
-0.025118233636021614,
0.0008994383970275521,
0.007184674963355064,
-0.06482569128274918,
0.014642729423940182,
0.05342171713709831,
-0.0395997129380703,
-0.03594893589615822,
0.03241517022252083,
0.016379207372665405,
-0.06455705314874649,
0.04013575613498688,
0.06843011826276779,
-0.007476865313947201,
-0.10180747509002686,
0.013671856373548508,
-0.09507432579994202,
-0.0321444571018219,
0.09194378554821014,
-0.08492502570152283,
0.008573496714234352,
-1.1453917772076519e-33,
-0.10518141835927963,
0.05955905467271805,
-0.023145388811826706,
0.03060169517993927,
-0.07570143043994904,
-0.048925645649433136,
0.03192704916000366,
0.022035036236047745,
0.033889543265104294,
0.009915492497384548,
-0.006115581840276718,
-0.07239527255296707,
0.020113691687583923,
0.032285407185554504,
-0.03724750876426697,
-0.012489906512200832,
-0.042150601744651794,
0.04890244081616402,
0.02121572382748127,
0.011060820892453194,
0.03459231182932854,
0.11197096109390259,
0.07344991713762283,
0.02842940390110016,
0.002789111342281103,
0.05770554021000862,
0.02584187313914299,
0.08988653123378754,
0.0931788980960846,
-0.06090637668967247,
0.08088067173957825,
0.04051383584737778,
0.009789127856492996,
-0.030735226348042488,
-0.03210524097084999,
0.0306540634483099,
0.015093233436346054,
0.06214267015457153,
0.009989668615162373,
-0.02775026299059391,
0.041252654045820236,
0.02981611341238022,
0.01949550025165081,
0.01964237540960312,
0.03730737045407295,
-0.08235227316617966,
0.003648989601060748,
0.054119449108839035,
0.013333531096577644,
-0.003621563781052828,
-0.024660302326083183,
-0.005390208214521408,
0.011043433099985123,
0.0786527469754219,
-0.04674293100833893,
-0.037889786064624786,
-0.07894271612167358,
0.0904371589422226,
0.07542049139738083,
-0.0016160074155777693,
-0.07961549609899521,
-0.034603942185640335,
0.01411801390349865,
-0.029729953035712242,
0.003007798222824931,
-0.08295479416847229,
0.07111826539039612,
-0.043500084429979324,
0.027181783691048622,
0.008311250247061253,
0.042694080621004105,
0.041208039969205856,
-0.012648608535528183,
0.003749507712200284,
-0.0041772774420678616,
0.048895787447690964,
-0.022598687559366226,
0.042632315307855606,
-0.0797601118683815,
0.009065189398825169,
-0.026932088658213615,
0.11321011930704117,
-0.07794973254203796,
0.003667626064270735,
0.058306366205215454,
-0.014562424272298813,
0.08178561925888062,
-0.04566732421517372,
-0.00973932258784771,
-0.08823857456445694,
0.051555246114730835,
0.06371419131755829,
-0.011998265981674194,
0.03683658689260483,
0.07693147659301758,
-2.6916895379258676e-8,
-0.01445895154029131,
-0.07249055802822113,
-0.06398839503526688,
-0.008999048732221127,
0.08445225656032562,
-0.07970456779003143,
-0.00420674541965127,
-0.024343710392713547,
0.004590395838022232,
-0.029314491897821426,
0.05783440172672272,
0.018397526815533638,
-0.05868198350071907,
-0.0330636166036129,
0.04579005390405655,
-0.00855825562030077,
-0.010698779486119747,
-0.05833873152732849,
0.08080853521823883,
0.057222895324230194,
-0.02914295345544815,
-0.04096069559454918,
-0.03554774820804596,
0.05261656269431114,
0.007646461948752403,
-0.04020493105053902,
0.09420257806777954,
-0.04891999810934067,
-0.0145190404728055,
-0.0004851537523791194,
0.033880844712257385,
0.07365922629833221,
0.006031908560544252,
0.050046972930431366,
-0.02889660932123661,
-0.07670067250728607,
-0.007549093570560217,
0.04331366345286369,
-0.043774623423814774,
-0.007262596394866705,
-0.0009458433487452567,
-0.06336470693349838,
-0.06112407520413399,
-0.026299044489860535,
-0.021355152130126953,
-0.002810451667755842,
0.02908950485289097,
0.03351704031229019,
-0.08405271917581558,
0.03824988752603531,
0.005863566417247057,
0.08670435100793839,
-0.027740487828850746,
-0.11044956743717194,
-0.02215859293937683,
-0.014326037839055061,
-0.0328289233148098,
-0.08060412108898163,
0.01330182608217001,
0.050548404455184937,
-0.020292513072490692,
0.07305091619491577,
-0.12307466566562653,
-0.047119852155447006
] |
1401.6483
|
Hu Qin
|
Zhixin Luo and Hu Qin and Wenbin Zhu and Andrew Lim
|
Branch-and-price-and-cut for the Split-collection Vehicle Routing
Problem with Time Windows and Linear Weight-related Cost
|
22 pages
| null | null | null |
cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper addresses a new vehicle routing problem that simultaneously
involves time windows, split collection and linear weight-related cost, which
is a generalization of the split delivery vehicle routing problem with time
windows (SDVRPTW). This problem consists of determining least-cost vehicle
routes to serve a set of customers while respecting the restrictions of vehicle
capacity and time windows. The travel cost per unit distance is a linear
function of the vehicle weight and the customer demand can be fulfilled by
multiple vehicles. To solve this problem, we propose a exact
branch-and-price-and-cut algorithm, where the pricing subproblem is a
resource-constrained elementary least-cost path problem. We first prove that at
least an optimal solution to the pricing subproblem is associated with an
extreme collection pattern, and then design a tailored and novel label-setting
algorithm to solve it. Computational results show that our proposed algorithm
can handle both the SDVRPTW and our problem effectively.
|
[
{
"created": "Sat, 25 Jan 2014 01:38:49 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Luo",
"Zhixin",
""
],
[
"Qin",
"Hu",
""
],
[
"Zhu",
"Wenbin",
""
],
[
"Lim",
"Andrew",
""
]
] |
[
-0.0023854656610637903,
0.01373651996254921,
-0.040234263986349106,
-0.001130844233557582,
-0.03233550861477852,
0.013147830031812191,
0.01942441239953041,
0.0756322517991066,
0.009448154829442501,
0.014688688330352306,
-0.011756112799048424,
-0.008221534080803394,
0.02419920451939106,
0.12185288220643997,
0.016406962648034096,
0.051383160054683685,
0.018139973282814026,
0.02197258360683918,
-0.021982504054903984,
-0.020038139075040817,
0.02543933130800724,
-0.0017574409721419215,
0.016748595982789993,
-0.009299352765083313,
0.036658041179180145,
-0.04362887889146805,
-0.008785199373960495,
-0.012313058599829674,
0.022692110389471054,
0.011815071105957031,
0.05003509670495987,
-0.022074950858950615,
-0.03649201616644859,
0.0229407399892807,
0.03415805846452713,
-0.04636601358652115,
-0.08699300140142441,
-0.009850773960351944,
-0.016423633322119713,
-0.0030438455287367105,
0.004190973471850157,
0.043153926730155945,
-0.12200310081243515,
-0.011380065232515335,
-0.02510162629187107,
0.0009139234898611903,
0.03309646621346474,
0.0655258372426033,
0.03275443613529205,
0.05462876707315445,
0.03263981267809868,
0.01154311466962099,
-0.07576639950275421,
-0.023954184725880623,
-0.04293546825647354,
0.06409560889005661,
-0.044058702886104584,
-0.01151940505951643,
-0.030550392344594002,
0.08075033128261566,
-0.03433414176106453,
-0.09217558801174164,
-0.015331540256738663,
0.0016854993300512433,
-0.053030747920274734,
0.020788680762052536,
0.00309924827888608,
0.016474561765789986,
-0.028833091259002686,
0.042475972324609756,
0.04010792821645737,
0.04114501178264618,
-0.003074983600527048,
0.05375772342085838,
0.040267299860715866,
0.008677155710756779,
0.12259633839130402,
-0.021468037739396095,
-0.024723518639802933,
-0.009887279011309147,
0.0010129960719496012,
0.0326334685087204,
-0.0498022735118866,
0.013714227825403214,
0.06736023724079132,
-0.05385075882077217,
0.0065056560561060905,
0.001347245997749269,
0.025905445218086243,
0.039020027965307236,
-0.036522865295410156,
-0.003725864691659808,
0.041068706661462784,
-0.010134920477867126,
-0.026866372674703598,
-0.011149671860039234,
0.010446731932461262,
0.0027780598029494286,
0.08047555387020111,
0.025077806785702705,
-0.04813089594244957,
0.008605185896158218,
0.07466163486242294,
-0.003737468272447586,
-0.004476162139326334,
-0.006060977466404438,
0.020924923941493034,
0.0038877297192811966,
-0.018006524071097374,
-0.04860491305589676,
0.02915721759200096,
-0.0014002836542204022,
0.008166755549609661,
-0.03642940893769264,
-0.052269648760557175,
0.0358734093606472,
0.03592127561569214,
-0.007901432923972607,
0.00435608858242631,
0.0871046632528305,
-0.09925691783428192,
-0.10217026621103287,
0.0967663899064064,
-0.017877964302897453,
0.02170531079173088,
0.010591692291200161,
0.061398886144161224,
-9.983712293823699e-34,
-0.05458015203475952,
-0.018316306173801422,
-0.02497013285756111,
-0.07167991995811462,
0.08388452976942062,
0.012563321739435196,
-0.11787527799606323,
0.0415426641702652,
-0.03044835664331913,
-0.00482942583039403,
-0.007834943011403084,
-0.06399018317461014,
0.018719680607318878,
-0.02842499502003193,
0.06023469939827919,
-0.048759181052446365,
0.008468272164463997,
0.03892253339290619,
0.0459822416305542,
-0.1265019178390503,
-0.06813867390155792,
-0.02012665942311287,
0.07798078656196594,
-0.08907561749219894,
0.06543108075857162,
-0.06495869904756546,
0.007002915255725384,
-0.03210698813199997,
0.14873076975345612,
0.002351107308641076,
-0.06692753732204437,
0.000559068750590086,
0.013742150738835335,
0.07075963169336319,
-0.019008904695510864,
0.06115635856986046,
-0.039137497544288635,
-0.06376083940267563,
0.06016351655125618,
0.0289168618619442,
-0.022992752492427826,
0.04226388409733772,
-0.030807089060544968,
0.0008980508428066969,
-0.10433290153741837,
0.021865228191018105,
-0.0034429007209837437,
-0.018628688529133797,
-0.0970909520983696,
0.07589325308799744,
-0.08035022765398026,
-0.032298389822244644,
0.014752293936908245,
-0.053918030112981796,
-0.10130228847265244,
-0.06988849490880966,
-0.02221960760653019,
0.015375245362520218,
0.06185722351074219,
0.09431982785463333,
-0.010383541695773602,
-0.004215430002659559,
0.03784435987472534,
0.06406787037849426,
0.01065981388092041,
-0.05524587258696556,
-0.09848438203334808,
0.016509898006916046,
0.049376584589481354,
0.02064167894423008,
0.004192979075014591,
-0.0005071896011941135,
0.06174692139029503,
-0.009312809444963932,
0.038930606096982956,
0.001908105332404375,
0.06367658823728561,
-0.04246935248374939,
-0.019295532256364822,
-0.012652927078306675,
-0.09617114067077637,
0.08469946682453156,
0.02692073956131935,
-0.026744190603494644,
0.03433314710855484,
0.04078200086951256,
0.000973179005086422,
-0.047334618866443634,
-0.024824904277920723,
-0.048959534615278244,
-0.09145117551088333,
0.05482494831085205,
-0.034459058195352554,
0.014871410094201565,
0.13513104617595673,
1.379744070706093e-34,
0.030352473258972168,
0.0419442355632782,
0.05004293471574783,
0.022007808089256287,
0.06472412496805191,
-0.01747600920498371,
-0.050188083201646805,
-0.05361266806721687,
0.06168225780129433,
0.10547231137752533,
-0.1036929190158844,
0.006865550298243761,
0.008444834500551224,
-0.04922691360116005,
0.011611880734562874,
-0.1112438440322876,
0.06093518063426018,
-0.06556931883096695,
-0.008360923267900944,
0.023721324279904366,
-0.057795848697423935,
0.05230686068534851,
-0.10857928544282913,
-0.04838293790817261,
0.09144296497106552,
0.004314432851970196,
-0.006584160029888153,
-0.005274063441902399,
-0.034523408859968185,
0.03174319490790367,
-0.06400272995233536,
-0.0931423231959343,
0.05011161416769028,
-0.07625572383403778,
0.018375353887677193,
0.07640943676233292,
-0.024897880852222443,
0.11779189109802246,
0.016345780342817307,
0.0543522872030735,
0.015295092016458511,
-0.10973989963531494,
-0.011142374947667122,
0.0033892402425408363,
0.033380575478076935,
-0.008235717192292213,
0.02203894779086113,
-0.060494907200336456,
0.030553128570318222,
-0.020580889657139778,
-0.030260596424341202,
-0.03824803605675697,
-0.027034446597099304,
0.08425378054380417,
-0.016973000019788742,
0.00529892835766077,
-0.04053446277976036,
0.040998734533786774,
-0.019161567091941833,
-0.021319495514035225,
0.055848561227321625,
0.03836538642644882,
0.010186091996729374,
0.020812619477510452,
0.0333242192864418,
-0.11956234276294708,
0.07108031213283539,
-0.14085008203983307,
-0.06716929376125336,
-0.0649871900677681,
-0.04655204340815544,
0.03858749940991402,
0.04172300919890404,
0.04898488521575928,
-0.0924353152513504,
-0.013728836551308632,
0.03328167647123337,
0.005882451310753822,
0.03254513442516327,
-0.013952396810054779,
0.025216976180672646,
0.0232077706605196,
-0.01004575751721859,
0.01201510801911354,
-0.024225836619734764,
-0.04954449087381363,
0.03823013976216316,
0.01659512147307396,
-0.029199762269854546,
0.02379237487912178,
-0.009134571999311447,
0.04493490234017372,
0.07428999990224838,
0.056094683706760406,
-0.12773460149765015,
-4.17955803300174e-8,
-0.019877895712852478,
-0.021684788167476654,
-0.059516049921512604,
0.000058921839809045196,
0.08261235058307648,
-0.022071603685617447,
0.07448991388082504,
0.05866669863462448,
-0.0826297178864479,
0.051529448479413986,
0.055266622453927994,
0.051275961101055145,
-0.029558539390563965,
0.0768469050526619,
-0.09116672724485397,
0.0038690196815878153,
0.004293648526072502,
0.015151940286159515,
-0.016380121931433678,
-0.013295614160597324,
-0.08311139792203903,
0.022472014650702477,
0.04613788425922394,
0.0730665922164917,
0.019152341410517693,
0.001511876587755978,
-0.0019349631620571017,
0.02641439624130726,
0.1460944563150406,
-0.003944585099816322,
-0.10760532319545746,
0.04155781492590904,
0.03760814666748047,
0.05120108649134636,
0.041876666247844696,
0.0008500957628712058,
-0.08993833512067795,
0.09650519490242004,
-0.09040453284978867,
0.009868774563074112,
0.10100831091403961,
0.0012976847356185317,
0.00392631022259593,
0.0026470753364264965,
0.12317177653312683,
0.0229585450142622,
-0.0748198926448822,
0.04284903034567833,
0.005633388180285692,
0.03400455415248871,
-0.04518534615635872,
-0.00550632830709219,
0.022680645808577538,
0.044983334839344025,
0.029901407659053802,
-0.04788600653409958,
-0.037849411368370056,
-0.08930177241563797,
0.07070038467645645,
-0.0026860488578677177,
-0.02731333114206791,
-0.033830247819423676,
-0.021753918379545212,
0.004769901745021343
] | null | null | null | null | null | null | null |
[
-0.0023854656610637903,
0.01373651996254921,
-0.040234263986349106,
-0.001130844233557582,
-0.03233550861477852,
0.013147830031812191,
0.01942441239953041,
0.0756322517991066,
0.009448154829442501,
0.014688688330352306,
-0.011756112799048424,
-0.008221534080803394,
0.02419920451939106,
0.12185288220643997,
0.016406962648034096,
0.051383160054683685,
0.018139973282814026,
0.02197258360683918,
-0.021982504054903984,
-0.020038139075040817,
0.02543933130800724,
-0.0017574409721419215,
0.016748595982789993,
-0.009299352765083313,
0.036658041179180145,
-0.04362887889146805,
-0.008785199373960495,
-0.012313058599829674,
0.022692110389471054,
0.011815071105957031,
0.05003509670495987,
-0.022074950858950615,
-0.03649201616644859,
0.0229407399892807,
0.03415805846452713,
-0.04636601358652115,
-0.08699300140142441,
-0.009850773960351944,
-0.016423633322119713,
-0.0030438455287367105,
0.004190973471850157,
0.043153926730155945,
-0.12200310081243515,
-0.011380065232515335,
-0.02510162629187107,
0.0009139234898611903,
0.03309646621346474,
0.0655258372426033,
0.03275443613529205,
0.05462876707315445,
0.03263981267809868,
0.01154311466962099,
-0.07576639950275421,
-0.023954184725880623,
-0.04293546825647354,
0.06409560889005661,
-0.044058702886104584,
-0.01151940505951643,
-0.030550392344594002,
0.08075033128261566,
-0.03433414176106453,
-0.09217558801174164,
-0.015331540256738663,
0.0016854993300512433,
-0.053030747920274734,
0.020788680762052536,
0.00309924827888608,
0.016474561765789986,
-0.028833091259002686,
0.042475972324609756,
0.04010792821645737,
0.04114501178264618,
-0.003074983600527048,
0.05375772342085838,
0.040267299860715866,
0.008677155710756779,
0.12259633839130402,
-0.021468037739396095,
-0.024723518639802933,
-0.009887279011309147,
0.0010129960719496012,
0.0326334685087204,
-0.0498022735118866,
0.013714227825403214,
0.06736023724079132,
-0.05385075882077217,
0.0065056560561060905,
0.001347245997749269,
0.025905445218086243,
0.039020027965307236,
-0.036522865295410156,
-0.003725864691659808,
0.041068706661462784,
-0.010134920477867126,
-0.026866372674703598,
-0.011149671860039234,
0.010446731932461262,
0.0027780598029494286,
0.08047555387020111,
0.025077806785702705,
-0.04813089594244957,
0.008605185896158218,
0.07466163486242294,
-0.003737468272447586,
-0.004476162139326334,
-0.006060977466404438,
0.020924923941493034,
0.0038877297192811966,
-0.018006524071097374,
-0.04860491305589676,
0.02915721759200096,
-0.0014002836542204022,
0.008166755549609661,
-0.03642940893769264,
-0.052269648760557175,
0.0358734093606472,
0.03592127561569214,
-0.007901432923972607,
0.00435608858242631,
0.0871046632528305,
-0.09925691783428192,
-0.10217026621103287,
0.0967663899064064,
-0.017877964302897453,
0.02170531079173088,
0.010591692291200161,
0.061398886144161224,
-9.983712293823699e-34,
-0.05458015203475952,
-0.018316306173801422,
-0.02497013285756111,
-0.07167991995811462,
0.08388452976942062,
0.012563321739435196,
-0.11787527799606323,
0.0415426641702652,
-0.03044835664331913,
-0.00482942583039403,
-0.007834943011403084,
-0.06399018317461014,
0.018719680607318878,
-0.02842499502003193,
0.06023469939827919,
-0.048759181052446365,
0.008468272164463997,
0.03892253339290619,
0.0459822416305542,
-0.1265019178390503,
-0.06813867390155792,
-0.02012665942311287,
0.07798078656196594,
-0.08907561749219894,
0.06543108075857162,
-0.06495869904756546,
0.007002915255725384,
-0.03210698813199997,
0.14873076975345612,
0.002351107308641076,
-0.06692753732204437,
0.000559068750590086,
0.013742150738835335,
0.07075963169336319,
-0.019008904695510864,
0.06115635856986046,
-0.039137497544288635,
-0.06376083940267563,
0.06016351655125618,
0.0289168618619442,
-0.022992752492427826,
0.04226388409733772,
-0.030807089060544968,
0.0008980508428066969,
-0.10433290153741837,
0.021865228191018105,
-0.0034429007209837437,
-0.018628688529133797,
-0.0970909520983696,
0.07589325308799744,
-0.08035022765398026,
-0.032298389822244644,
0.014752293936908245,
-0.053918030112981796,
-0.10130228847265244,
-0.06988849490880966,
-0.02221960760653019,
0.015375245362520218,
0.06185722351074219,
0.09431982785463333,
-0.010383541695773602,
-0.004215430002659559,
0.03784435987472534,
0.06406787037849426,
0.01065981388092041,
-0.05524587258696556,
-0.09848438203334808,
0.016509898006916046,
0.049376584589481354,
0.02064167894423008,
0.004192979075014591,
-0.0005071896011941135,
0.06174692139029503,
-0.009312809444963932,
0.038930606096982956,
0.001908105332404375,
0.06367658823728561,
-0.04246935248374939,
-0.019295532256364822,
-0.012652927078306675,
-0.09617114067077637,
0.08469946682453156,
0.02692073956131935,
-0.026744190603494644,
0.03433314710855484,
0.04078200086951256,
0.000973179005086422,
-0.047334618866443634,
-0.024824904277920723,
-0.048959534615278244,
-0.09145117551088333,
0.05482494831085205,
-0.034459058195352554,
0.014871410094201565,
0.13513104617595673,
1.379744070706093e-34,
0.030352473258972168,
0.0419442355632782,
0.05004293471574783,
0.022007808089256287,
0.06472412496805191,
-0.01747600920498371,
-0.050188083201646805,
-0.05361266806721687,
0.06168225780129433,
0.10547231137752533,
-0.1036929190158844,
0.006865550298243761,
0.008444834500551224,
-0.04922691360116005,
0.011611880734562874,
-0.1112438440322876,
0.06093518063426018,
-0.06556931883096695,
-0.008360923267900944,
0.023721324279904366,
-0.057795848697423935,
0.05230686068534851,
-0.10857928544282913,
-0.04838293790817261,
0.09144296497106552,
0.004314432851970196,
-0.006584160029888153,
-0.005274063441902399,
-0.034523408859968185,
0.03174319490790367,
-0.06400272995233536,
-0.0931423231959343,
0.05011161416769028,
-0.07625572383403778,
0.018375353887677193,
0.07640943676233292,
-0.024897880852222443,
0.11779189109802246,
0.016345780342817307,
0.0543522872030735,
0.015295092016458511,
-0.10973989963531494,
-0.011142374947667122,
0.0033892402425408363,
0.033380575478076935,
-0.008235717192292213,
0.02203894779086113,
-0.060494907200336456,
0.030553128570318222,
-0.020580889657139778,
-0.030260596424341202,
-0.03824803605675697,
-0.027034446597099304,
0.08425378054380417,
-0.016973000019788742,
0.00529892835766077,
-0.04053446277976036,
0.040998734533786774,
-0.019161567091941833,
-0.021319495514035225,
0.055848561227321625,
0.03836538642644882,
0.010186091996729374,
0.020812619477510452,
0.0333242192864418,
-0.11956234276294708,
0.07108031213283539,
-0.14085008203983307,
-0.06716929376125336,
-0.0649871900677681,
-0.04655204340815544,
0.03858749940991402,
0.04172300919890404,
0.04898488521575928,
-0.0924353152513504,
-0.013728836551308632,
0.03328167647123337,
0.005882451310753822,
0.03254513442516327,
-0.013952396810054779,
0.025216976180672646,
0.0232077706605196,
-0.01004575751721859,
0.01201510801911354,
-0.024225836619734764,
-0.04954449087381363,
0.03823013976216316,
0.01659512147307396,
-0.029199762269854546,
0.02379237487912178,
-0.009134571999311447,
0.04493490234017372,
0.07428999990224838,
0.056094683706760406,
-0.12773460149765015,
-4.17955803300174e-8,
-0.019877895712852478,
-0.021684788167476654,
-0.059516049921512604,
0.000058921839809045196,
0.08261235058307648,
-0.022071603685617447,
0.07448991388082504,
0.05866669863462448,
-0.0826297178864479,
0.051529448479413986,
0.055266622453927994,
0.051275961101055145,
-0.029558539390563965,
0.0768469050526619,
-0.09116672724485397,
0.0038690196815878153,
0.004293648526072502,
0.015151940286159515,
-0.016380121931433678,
-0.013295614160597324,
-0.08311139792203903,
0.022472014650702477,
0.04613788425922394,
0.0730665922164917,
0.019152341410517693,
0.001511876587755978,
-0.0019349631620571017,
0.02641439624130726,
0.1460944563150406,
-0.003944585099816322,
-0.10760532319545746,
0.04155781492590904,
0.03760814666748047,
0.05120108649134636,
0.041876666247844696,
0.0008500957628712058,
-0.08993833512067795,
0.09650519490242004,
-0.09040453284978867,
0.009868774563074112,
0.10100831091403961,
0.0012976847356185317,
0.00392631022259593,
0.0026470753364264965,
0.12317177653312683,
0.0229585450142622,
-0.0748198926448822,
0.04284903034567833,
0.005633388180285692,
0.03400455415248871,
-0.04518534615635872,
-0.00550632830709219,
0.022680645808577538,
0.044983334839344025,
0.029901407659053802,
-0.04788600653409958,
-0.037849411368370056,
-0.08930177241563797,
0.07070038467645645,
-0.0026860488578677177,
-0.02731333114206791,
-0.033830247819423676,
-0.021753918379545212,
0.004769901745021343
] |
1401.6484
|
Kiran Sree Pokkuluri Prof
|
Pokkuluri Kiran Sree, Inampudi Ramesh Babu
|
Identification of Protein Coding Regions in Genomic DNA Using
Unsupervised FMACA Based Pattern Classifier
|
arXiv admin note: text overlap with arXiv:1312.2642
|
IJCSNS International Journal of Computer Science and Network
Security, VOL.8 No.1, January 2008,305-310
| null | null |
cs.CE cs.LG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Genes carry the instructions for making proteins that are found in a cell as
a specific sequence of nucleotides that are found in DNA molecules. But, the
regions of these genes that code for proteins may occupy only a small region of
the sequence. Identifying the coding regions play a vital role in understanding
these genes. In this paper we propose a unsupervised Fuzzy Multiple Attractor
Cellular Automata (FMCA) based pattern classifier to identify the coding region
of a DNA sequence. We propose a distinct K-Means algorithm for designing FMACA
classifier which is simple, efficient and produces more accurate classifier
than that has previously been obtained for a range of different sequence
lengths. Experimental results confirm the scalability of the proposed
Unsupervised FCA based classifier to handle large volume of datasets
irrespective of the number of classes, tuples and attributes. Good
classification accuracy has been established.
|
[
{
"created": "Sat, 25 Jan 2014 01:48:14 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Sree",
"Pokkuluri Kiran",
""
],
[
"Babu",
"Inampudi Ramesh",
""
]
] |
[
-0.06433209031820297,
-0.017199138179421425,
0.015709927305579185,
-0.12954609096050262,
-0.028145428746938705,
0.016150986775755882,
0.004385356325656176,
-0.09644429385662079,
0.002612982876598835,
-0.007695791311562061,
0.021279893815517426,
-0.08194533735513687,
0.005649530794471502,
-0.002657155739143491,
-0.09403451532125473,
0.004125212784856558,
-0.036188624799251556,
-0.12816524505615234,
-0.022577058523893356,
-0.08270283043384552,
0.06222652643918991,
0.018708771094679832,
0.043908704072237015,
0.017707740887999535,
-0.006265517324209213,
0.007843843661248684,
-0.02955075167119503,
0.037031058222055435,
-0.002491822000592947,
0.0037430834490805864,
-0.001959622371941805,
0.0171628650277853,
0.06140145659446716,
-0.0209711492061615,
0.0005055231158621609,
0.012132761999964714,
-0.06331860274076462,
0.07718624919652939,
0.01273277960717678,
0.007565234787762165,
0.009377718903124332,
-0.0551169291138649,
0.0853654071688652,
0.06898269802331924,
0.043174609541893005,
0.08739206194877625,
-0.029393013566732407,
-0.03911888971924782,
0.07260915637016296,
-0.02159292623400688,
-0.0012044621398672462,
-0.01963960751891136,
-0.032748669385910034,
0.04588312655687332,
0.0396464578807354,
0.01459516678005457,
-0.00457895640283823,
0.0033738065976649523,
0.02051120065152645,
0.011144871823489666,
0.0572982132434845,
-0.062245529145002365,
0.08169101923704147,
-0.04122060909867287,
0.011819368228316307,
-0.005893927067518234,
-0.05435130372643471,
0.04174615070223808,
-0.023203514516353607,
-0.010854712687432766,
0.040393657982349396,
0.002429075539112091,
0.02282220870256424,
0.12669354677200317,
0.09495522081851959,
0.10040063410997391,
-0.06290115416049957,
0.028403887525200844,
0.08458726853132248,
0.016549522057175636,
-0.07035566866397858,
-0.04596982151269913,
0.021518081426620483,
0.025170130655169487,
0.059613652527332306,
-0.035296741873025894,
0.016101116314530373,
0.001504265470430255,
0.06262773275375366,
0.06651193648576736,
0.035715021193027496,
-0.013350218534469604,
0.10011256486177444,
-0.06535971909761429,
-0.10165596753358841,
-0.019765403121709824,
0.0058148205280303955,
-0.01669508032500744,
0.08288077265024185,
-0.0026115698274224997,
-0.05166646093130112,
0.018525537103414536,
0.017575163394212723,
-0.004518061876296997,
0.03272844851016998,
0.018978994339704514,
0.015164990909397602,
0.004690953996032476,
0.09962684661149979,
-0.013229682110249996,
-0.0919945240020752,
0.028548242524266243,
-0.020477497950196266,
-0.004988425876945257,
-0.00628654146566987,
0.07683984190225601,
0.04376772791147232,
0.04961388185620308,
0.06731103360652924,
0.08817792683839798,
0.028920598328113556,
-0.14610640704631805,
-0.009411857463419437,
0.03799843043088913,
0.04713825136423111,
-0.03214598819613457,
-0.1297464817762375,
2.0113856286271314e-33,
0.008614188060164452,
-0.01359598059207201,
-0.01943383179605007,
0.020879877731204033,
-0.00991806946694851,
-0.0922732800245285,
0.005804297048598528,
-0.040633607655763626,
-0.035857636481523514,
0.06904834508895874,
-0.008597832173109055,
0.06998413801193237,
-0.022526536136865616,
0.07339192181825638,
-0.030070511624217033,
-0.00821313913911581,
-0.018842384219169617,
-0.04149237647652626,
-0.05026385560631752,
-0.09640701860189438,
-0.0018369187600910664,
-0.005873215384781361,
0.05830000713467598,
-0.13421477377414703,
-0.0033249403350055218,
0.005404229741543531,
-0.007147596683353186,
0.01573505438864231,
0.023442478850483894,
0.014616371132433414,
0.0038668676279485226,
-0.04725463688373566,
-0.0023338377941399813,
-0.030986055731773376,
0.0728076845407486,
-0.014194642193615437,
-0.011265771463513374,
-0.03777017444372177,
0.04110712558031082,
-0.029098572209477425,
-0.0123057896271348,
-0.03046516515314579,
0.00857283640652895,
-0.028033388778567314,
0.03534398972988129,
0.09605652093887329,
0.027034752070903778,
-0.056638240814208984,
-0.061015985906124115,
-0.007038081996142864,
0.08472105115652084,
-0.046536948531866074,
0.09163793921470642,
-0.01782085746526718,
0.023822585120797157,
0.03117147833108902,
-0.0292474664747715,
0.010218588635325432,
-0.019847245886921883,
0.03580660745501518,
-0.15858429670333862,
-0.0026054680347442627,
0.00353780435398221,
0.011799050495028496,
-0.007874883711338043,
-0.10210058093070984,
-0.0290150735527277,
-0.027440108358860016,
0.012990049086511135,
0.12097462266683578,
0.10668392479419708,
0.021918484941124916,
-0.07204029709100723,
-0.0541665218770504,
-0.01733756996691227,
-0.004019655752927065,
0.05172206088900566,
-0.007533252239227295,
-0.15759721398353577,
0.0060769845731556416,
0.0044363923370838165,
-0.059517670422792435,
-0.06236892193555832,
-0.03567712754011154,
-0.02179553732275963,
-0.014052548445761204,
0.04512689635157585,
-0.026903945952653885,
-0.1218080073595047,
0.022537285462021828,
-0.03384513407945633,
-0.07660914957523346,
0.07544183731079102,
-0.02458268776535988,
0.008088559843599796,
-3.890709609727164e-33,
0.02863169088959694,
0.009138863533735275,
-0.012248379178345203,
-0.025531115010380745,
0.022505756467580795,
-0.04307426139712334,
0.02011812850832939,
0.10788256675004959,
0.03715062141418457,
0.024484779685735703,
0.004091161768883467,
0.03957236930727959,
0.05875289812684059,
-0.011316867545247078,
-0.012663749977946281,
0.047118984162807465,
0.009639530442655087,
-0.0135350888594985,
0.029661647975444794,
0.0827808827161789,
-0.05492766201496124,
0.03134322538971901,
-0.08404650539159775,
0.06980251520872116,
-0.05506096035242081,
0.034831590950489044,
-0.09149801731109619,
0.04952222853899002,
-0.07368341833353043,
-0.010262938216328621,
-0.04982331767678261,
-0.0006065354100428522,
0.0212442297488451,
0.02802172116935253,
-0.014361388050019741,
-0.13825996220111847,
0.03299102932214737,
-0.05594082549214363,
0.06378353387117386,
0.05330194532871246,
-0.023595094680786133,
0.06762998551130295,
-0.023134417831897736,
0.008057834580540657,
-0.018071401864290237,
-0.010824304074048996,
0.02656031772494316,
0.13446323573589325,
-0.006667825393378735,
0.019966639578342438,
-0.015476671978831291,
-0.029453294351696968,
-0.02633499726653099,
-0.008879176340997219,
0.025294292718172073,
0.027930865064263344,
0.014547440223395824,
0.05076030269265175,
-0.017287328839302063,
0.06635142117738724,
-0.04299257695674896,
-0.07833607494831085,
0.06148794665932655,
0.0111917182803154,
0.01561725977808237,
-0.005814359523355961,
0.013348695822060108,
0.04133398085832596,
-0.04771547392010689,
-0.008411642163991928,
0.03305964544415474,
0.12119080126285553,
-0.013197907246649265,
-0.004733393434435129,
-0.04450244829058647,
-0.035048410296440125,
0.009747147560119629,
-0.02894710563123226,
0.06430446356534958,
0.03443969041109085,
-0.007282986305654049,
-0.01471989881247282,
0.03579942137002945,
0.10528232902288437,
-0.0030516781844198704,
0.0568561814725399,
0.09090965241193771,
0.04159970209002495,
0.039257436990737915,
0.0036006104201078415,
0.05966190621256828,
0.04404556751251221,
0.04582003876566887,
0.04920831695199013,
-0.03573630750179291,
-4.690681976171618e-8,
0.02882819063961506,
-0.10950592905282974,
-0.008238738402724266,
-0.07502388954162598,
-0.03282313793897629,
0.027753598988056183,
-0.10058323293924332,
0.06357819586992264,
0.0431072860956192,
-0.05615357682108879,
0.12204674631357193,
0.05321503058075905,
-0.09617834538221359,
0.01994294859468937,
0.026622841134667397,
-0.024992793798446655,
-0.03651310130953789,
0.027678173035383224,
-0.024677438661456108,
0.05409169942140579,
-0.0008706137305125594,
0.006598141510039568,
-0.036358486860990524,
0.013536925427615643,
0.00340152601711452,
-0.0404428094625473,
-0.03231535106897354,
-0.0223785899579525,
-0.0325048603117466,
-0.03558586537837982,
-0.002646166365593672,
-0.03397952765226364,
0.040609829127788544,
-0.05087573826313019,
-0.046582531183958054,
0.054030872881412506,
-0.008232703432440758,
-0.0712023675441742,
-0.059569936245679855,
-0.015597335994243622,
0.05893856659531593,
0.08659154176712036,
-0.03561216965317726,
-0.04646479710936546,
-0.0535709522664547,
-0.046051010489463806,
0.08116260170936584,
-0.0963430255651474,
-0.022682970389723778,
-0.03440484032034874,
0.055977143347263336,
-0.030200960114598274,
-0.02854231745004654,
-0.007203121203929186,
-0.05027128756046295,
-0.059730514883995056,
-0.10072802007198334,
-0.025859903544187546,
0.035692520439624786,
-0.02156227082014084,
-0.03806193172931671,
0.021214334294199944,
0.04147784039378166,
0.003362677525728941
] | null | null | null | null | null | null | null |
[
-0.06433209031820297,
-0.017199138179421425,
0.015709927305579185,
-0.12954609096050262,
-0.028145428746938705,
0.016150986775755882,
0.004385356325656176,
-0.09644429385662079,
0.002612982876598835,
-0.007695791311562061,
0.021279893815517426,
-0.08194533735513687,
0.005649530794471502,
-0.002657155739143491,
-0.09403451532125473,
0.004125212784856558,
-0.036188624799251556,
-0.12816524505615234,
-0.022577058523893356,
-0.08270283043384552,
0.06222652643918991,
0.018708771094679832,
0.043908704072237015,
0.017707740887999535,
-0.006265517324209213,
0.007843843661248684,
-0.02955075167119503,
0.037031058222055435,
-0.002491822000592947,
0.0037430834490805864,
-0.001959622371941805,
0.0171628650277853,
0.06140145659446716,
-0.0209711492061615,
0.0005055231158621609,
0.012132761999964714,
-0.06331860274076462,
0.07718624919652939,
0.01273277960717678,
0.007565234787762165,
0.009377718903124332,
-0.0551169291138649,
0.0853654071688652,
0.06898269802331924,
0.043174609541893005,
0.08739206194877625,
-0.029393013566732407,
-0.03911888971924782,
0.07260915637016296,
-0.02159292623400688,
-0.0012044621398672462,
-0.01963960751891136,
-0.032748669385910034,
0.04588312655687332,
0.0396464578807354,
0.01459516678005457,
-0.00457895640283823,
0.0033738065976649523,
0.02051120065152645,
0.011144871823489666,
0.0572982132434845,
-0.062245529145002365,
0.08169101923704147,
-0.04122060909867287,
0.011819368228316307,
-0.005893927067518234,
-0.05435130372643471,
0.04174615070223808,
-0.023203514516353607,
-0.010854712687432766,
0.040393657982349396,
0.002429075539112091,
0.02282220870256424,
0.12669354677200317,
0.09495522081851959,
0.10040063410997391,
-0.06290115416049957,
0.028403887525200844,
0.08458726853132248,
0.016549522057175636,
-0.07035566866397858,
-0.04596982151269913,
0.021518081426620483,
0.025170130655169487,
0.059613652527332306,
-0.035296741873025894,
0.016101116314530373,
0.001504265470430255,
0.06262773275375366,
0.06651193648576736,
0.035715021193027496,
-0.013350218534469604,
0.10011256486177444,
-0.06535971909761429,
-0.10165596753358841,
-0.019765403121709824,
0.0058148205280303955,
-0.01669508032500744,
0.08288077265024185,
-0.0026115698274224997,
-0.05166646093130112,
0.018525537103414536,
0.017575163394212723,
-0.004518061876296997,
0.03272844851016998,
0.018978994339704514,
0.015164990909397602,
0.004690953996032476,
0.09962684661149979,
-0.013229682110249996,
-0.0919945240020752,
0.028548242524266243,
-0.020477497950196266,
-0.004988425876945257,
-0.00628654146566987,
0.07683984190225601,
0.04376772791147232,
0.04961388185620308,
0.06731103360652924,
0.08817792683839798,
0.028920598328113556,
-0.14610640704631805,
-0.009411857463419437,
0.03799843043088913,
0.04713825136423111,
-0.03214598819613457,
-0.1297464817762375,
2.0113856286271314e-33,
0.008614188060164452,
-0.01359598059207201,
-0.01943383179605007,
0.020879877731204033,
-0.00991806946694851,
-0.0922732800245285,
0.005804297048598528,
-0.040633607655763626,
-0.035857636481523514,
0.06904834508895874,
-0.008597832173109055,
0.06998413801193237,
-0.022526536136865616,
0.07339192181825638,
-0.030070511624217033,
-0.00821313913911581,
-0.018842384219169617,
-0.04149237647652626,
-0.05026385560631752,
-0.09640701860189438,
-0.0018369187600910664,
-0.005873215384781361,
0.05830000713467598,
-0.13421477377414703,
-0.0033249403350055218,
0.005404229741543531,
-0.007147596683353186,
0.01573505438864231,
0.023442478850483894,
0.014616371132433414,
0.0038668676279485226,
-0.04725463688373566,
-0.0023338377941399813,
-0.030986055731773376,
0.0728076845407486,
-0.014194642193615437,
-0.011265771463513374,
-0.03777017444372177,
0.04110712558031082,
-0.029098572209477425,
-0.0123057896271348,
-0.03046516515314579,
0.00857283640652895,
-0.028033388778567314,
0.03534398972988129,
0.09605652093887329,
0.027034752070903778,
-0.056638240814208984,
-0.061015985906124115,
-0.007038081996142864,
0.08472105115652084,
-0.046536948531866074,
0.09163793921470642,
-0.01782085746526718,
0.023822585120797157,
0.03117147833108902,
-0.0292474664747715,
0.010218588635325432,
-0.019847245886921883,
0.03580660745501518,
-0.15858429670333862,
-0.0026054680347442627,
0.00353780435398221,
0.011799050495028496,
-0.007874883711338043,
-0.10210058093070984,
-0.0290150735527277,
-0.027440108358860016,
0.012990049086511135,
0.12097462266683578,
0.10668392479419708,
0.021918484941124916,
-0.07204029709100723,
-0.0541665218770504,
-0.01733756996691227,
-0.004019655752927065,
0.05172206088900566,
-0.007533252239227295,
-0.15759721398353577,
0.0060769845731556416,
0.0044363923370838165,
-0.059517670422792435,
-0.06236892193555832,
-0.03567712754011154,
-0.02179553732275963,
-0.014052548445761204,
0.04512689635157585,
-0.026903945952653885,
-0.1218080073595047,
0.022537285462021828,
-0.03384513407945633,
-0.07660914957523346,
0.07544183731079102,
-0.02458268776535988,
0.008088559843599796,
-3.890709609727164e-33,
0.02863169088959694,
0.009138863533735275,
-0.012248379178345203,
-0.025531115010380745,
0.022505756467580795,
-0.04307426139712334,
0.02011812850832939,
0.10788256675004959,
0.03715062141418457,
0.024484779685735703,
0.004091161768883467,
0.03957236930727959,
0.05875289812684059,
-0.011316867545247078,
-0.012663749977946281,
0.047118984162807465,
0.009639530442655087,
-0.0135350888594985,
0.029661647975444794,
0.0827808827161789,
-0.05492766201496124,
0.03134322538971901,
-0.08404650539159775,
0.06980251520872116,
-0.05506096035242081,
0.034831590950489044,
-0.09149801731109619,
0.04952222853899002,
-0.07368341833353043,
-0.010262938216328621,
-0.04982331767678261,
-0.0006065354100428522,
0.0212442297488451,
0.02802172116935253,
-0.014361388050019741,
-0.13825996220111847,
0.03299102932214737,
-0.05594082549214363,
0.06378353387117386,
0.05330194532871246,
-0.023595094680786133,
0.06762998551130295,
-0.023134417831897736,
0.008057834580540657,
-0.018071401864290237,
-0.010824304074048996,
0.02656031772494316,
0.13446323573589325,
-0.006667825393378735,
0.019966639578342438,
-0.015476671978831291,
-0.029453294351696968,
-0.02633499726653099,
-0.008879176340997219,
0.025294292718172073,
0.027930865064263344,
0.014547440223395824,
0.05076030269265175,
-0.017287328839302063,
0.06635142117738724,
-0.04299257695674896,
-0.07833607494831085,
0.06148794665932655,
0.0111917182803154,
0.01561725977808237,
-0.005814359523355961,
0.013348695822060108,
0.04133398085832596,
-0.04771547392010689,
-0.008411642163991928,
0.03305964544415474,
0.12119080126285553,
-0.013197907246649265,
-0.004733393434435129,
-0.04450244829058647,
-0.035048410296440125,
0.009747147560119629,
-0.02894710563123226,
0.06430446356534958,
0.03443969041109085,
-0.007282986305654049,
-0.01471989881247282,
0.03579942137002945,
0.10528232902288437,
-0.0030516781844198704,
0.0568561814725399,
0.09090965241193771,
0.04159970209002495,
0.039257436990737915,
0.0036006104201078415,
0.05966190621256828,
0.04404556751251221,
0.04582003876566887,
0.04920831695199013,
-0.03573630750179291,
-4.690681976171618e-8,
0.02882819063961506,
-0.10950592905282974,
-0.008238738402724266,
-0.07502388954162598,
-0.03282313793897629,
0.027753598988056183,
-0.10058323293924332,
0.06357819586992264,
0.0431072860956192,
-0.05615357682108879,
0.12204674631357193,
0.05321503058075905,
-0.09617834538221359,
0.01994294859468937,
0.026622841134667397,
-0.024992793798446655,
-0.03651310130953789,
0.027678173035383224,
-0.024677438661456108,
0.05409169942140579,
-0.0008706137305125594,
0.006598141510039568,
-0.036358486860990524,
0.013536925427615643,
0.00340152601711452,
-0.0404428094625473,
-0.03231535106897354,
-0.0223785899579525,
-0.0325048603117466,
-0.03558586537837982,
-0.002646166365593672,
-0.03397952765226364,
0.040609829127788544,
-0.05087573826313019,
-0.046582531183958054,
0.054030872881412506,
-0.008232703432440758,
-0.0712023675441742,
-0.059569936245679855,
-0.015597335994243622,
0.05893856659531593,
0.08659154176712036,
-0.03561216965317726,
-0.04646479710936546,
-0.0535709522664547,
-0.046051010489463806,
0.08116260170936584,
-0.0963430255651474,
-0.022682970389723778,
-0.03440484032034874,
0.055977143347263336,
-0.030200960114598274,
-0.02854231745004654,
-0.007203121203929186,
-0.05027128756046295,
-0.059730514883995056,
-0.10072802007198334,
-0.025859903544187546,
0.035692520439624786,
-0.02156227082014084,
-0.03806193172931671,
0.021214334294199944,
0.04147784039378166,
0.003362677525728941
] |
1401.6485
|
Robin Thomas
|
Neil Robertson, Daniel P. Sanders, Paul Seymour and Robin Thomas
|
Discharging cartwheels
|
22 pages, 9 ancillary files. These files were originally posted on an
anonymous ftp server and later (after the server's shutdown) were relocated
to the last author's website
| null | null | null |
math.CO cs.DM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In [J. Combin. Theory Ser. B 70 (1997), 2-44] we gave a simplified proof of
the Four-Color Theorem. The proof is computer-assisted in the sense that for
two lemmas in the article we did not give proofs, and instead asserted that we
have verified those statements using a computer. Here we give additional
details for one of those lemmas, and we include the original computer programs
and data as "ancillary files" accompanying this submission.
|
[
{
"created": "Sat, 25 Jan 2014 01:55:32 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Robertson",
"Neil",
""
],
[
"Sanders",
"Daniel P.",
""
],
[
"Seymour",
"Paul",
""
],
[
"Thomas",
"Robin",
""
]
] |
[
-0.016775431111454964,
0.07453779876232147,
0.05476934835314751,
-0.0046341740526258945,
0.01038436871021986,
0.0594770610332489,
0.091776043176651,
0.010957861319184303,
0.04621986672282219,
0.002064491854980588,
-0.03709206357598305,
-0.0070380098186433315,
0.08290287852287292,
0.009818026795983315,
-0.014968409202992916,
0.09099175035953522,
-0.10712657868862152,
-0.0313391275703907,
-0.07022035866975784,
-0.06082294508814812,
-0.029476197436451912,
-0.1166960820555687,
0.024632375687360764,
-0.04870696738362312,
-0.026062382385134697,
-0.05363363400101662,
-0.00480656698346138,
-0.03072420507669449,
0.05079348757863045,
0.03293812274932861,
-0.03728527948260307,
0.03836677595973015,
0.06367062777280807,
0.04345820099115372,
0.017630796879529953,
-0.03123755194246769,
0.08169105648994446,
0.014714890159666538,
-0.02030164934694767,
0.1069997176527977,
0.03493731468915939,
0.04526897892355919,
-0.033185336738824844,
0.027186114341020584,
-0.05590919032692909,
0.083232082426548,
-0.009124316275119781,
-0.0035199441481381655,
-0.10430449992418289,
-0.08978435397148132,
-0.025570446625351906,
0.013264322653412819,
-0.08722196519374847,
0.03917405381798744,
-0.00442552100867033,
-0.044785913079977036,
-0.005065564997494221,
-0.029141325503587723,
0.05132684111595154,
0.021160773932933807,
0.05140937864780426,
-0.042079322040081024,
-0.038178879767656326,
0.03223893791437149,
0.048298805952072144,
0.12059002369642258,
0.04608951508998871,
-0.05612994357943535,
-0.08212367445230484,
0.043198324739933014,
-0.0026762874331325293,
0.03150954842567444,
-0.057405952364206314,
0.007281969767063856,
0.012397673912346363,
0.05854794383049011,
0.03911473974585533,
0.027869030833244324,
-0.07838626205921173,
-0.13916848599910736,
-0.02710835076868534,
-0.056376513093709946,
-0.027895981445908546,
0.006523020565509796,
0.07850395888090134,
0.01020907424390316,
-0.10586338490247726,
-0.09450578689575195,
-0.04617536813020706,
-0.021642066538333893,
0.02991006150841713,
0.03115883655846119,
-0.030395841225981712,
0.02732410840690136,
0.00487020006403327,
-0.045274924486875534,
0.041786350309848785,
-0.028500784188508987,
0.10276606678962708,
0.05936009809374809,
0.0228563342243433,
-0.044635891914367676,
0.028544841334223747,
-0.012783575803041458,
0.043598007410764694,
0.004533594008535147,
0.052674923092126846,
0.05075586959719658,
-0.043304480612277985,
-0.03316966071724892,
0.1085343137383461,
-0.04147840291261673,
0.03790811076760292,
0.019012250006198883,
-0.06458534300327301,
0.018503664061427116,
0.0003381703281775117,
0.03461546450853348,
0.0033419174142181873,
-0.007833278737962246,
0.042298778891563416,
0.0015286520356312394,
-0.010586082935333252,
-0.014840954914689064,
0.04790740832686424,
-0.048518333584070206,
-0.05346929654479027,
1.9884058160945096e-33,
0.13413043320178986,
-0.008676701225340366,
0.0801093801856041,
0.018849054351449013,
0.08543314784765244,
0.04973749816417694,
-0.036868754774332047,
-0.048602890223264694,
-0.04313648119568825,
-0.037616100162267685,
0.04164113104343414,
0.018488973379135132,
-0.03830776736140251,
0.009076644666492939,
0.022412050515413284,
0.020831506699323654,
0.03727599233388901,
-0.019386563450098038,
-0.01575436256825924,
0.02143164724111557,
0.09977875649929047,
0.08057165890932083,
-0.004999904427677393,
-0.06271671503782272,
-0.011601638980209827,
0.03940857946872711,
0.053478971123695374,
0.005667717196047306,
0.0609651580452919,
0.010504361242055893,
-0.08662714064121246,
0.07809668779373169,
-0.0019164830446243286,
0.05256428197026253,
0.007138380780816078,
-0.01644572615623474,
-0.05257158726453781,
-0.02509506791830063,
-0.046839337795972824,
0.08368811756372452,
-0.07705419510602951,
0.07182586938142776,
-0.009212442673742771,
-0.08230509608983994,
0.06142715737223625,
-0.02462940476834774,
0.005426737014204264,
-0.01154008973389864,
-0.04691491276025772,
0.016314351931214333,
-0.0465167760848999,
0.021102065220475197,
-0.042204584926366806,
-0.06577129662036896,
0.0183839350938797,
-0.04286427050828934,
-0.05152563378214836,
0.013139991089701653,
0.09670029580593109,
0.08031322807073593,
0.004134687129408121,
0.06293366104364395,
-0.05951124429702759,
0.02020237408578396,
-0.014974860474467278,
0.027626557275652885,
-0.031382009387016296,
-0.008544765412807465,
0.055429767817258835,
0.005794197786599398,
-0.029400400817394257,
0.05475815013051033,
0.00870551634579897,
-0.08486805111169815,
0.05402921140193939,
-0.05806047096848488,
-0.00022880603501107544,
-0.09312278032302856,
-0.011471040546894073,
0.01808103732764721,
-0.03299283608794212,
-0.05112951621413231,
-0.01264266949146986,
-0.09249478578567505,
-0.07963798940181732,
-0.0664822980761528,
-0.0004443269863259047,
0.011242065578699112,
-0.023832669481635094,
-0.10451660305261612,
0.04266269505023956,
0.0062501863576471806,
-0.02567712403833866,
-0.042206164449453354,
-0.02911369502544403,
-3.647565215415297e-33,
-0.012070302851498127,
-0.0320885069668293,
-0.04651628062129021,
0.11329024285078049,
-0.06219751387834549,
0.00892630685120821,
0.04612834379076958,
0.08004701882600784,
-0.09819775819778442,
-0.015676775947213173,
0.08495751768350601,
0.03819122910499573,
-0.026622356846928596,
0.05472263693809509,
0.011580418795347214,
-0.007006621453911066,
-0.001198332291096449,
0.04262453317642212,
-0.07178661227226257,
0.013757207430899143,
-0.0012624188093468547,
0.004335916135460138,
0.006931003648787737,
-0.01228398084640503,
-0.004957061726599932,
0.0053990925662219524,
-0.03495575487613678,
0.03392781689763069,
-0.032764188945293427,
0.04824638366699219,
-0.02224591188132763,
-0.056687720119953156,
-0.09939533472061157,
-0.06594260782003403,
0.014675145037472248,
-0.0987233966588974,
0.09038763493299484,
0.040577661246061325,
-0.04404859244823456,
0.11349005997180939,
0.03359676152467728,
-0.05984088405966759,
0.051608942449092865,
0.04416339844465256,
0.025369688868522644,
-0.007698840461671352,
-0.012640106491744518,
0.0878959596157074,
-0.060362983494997025,
-0.07505747675895691,
0.02533913403749466,
-0.07712917774915695,
0.04032289609313011,
-0.06869307905435562,
0.013701807707548141,
-0.028209595009684563,
-0.0062919361516833305,
0.008912276476621628,
-0.01883312314748764,
0.05235105752944946,
-0.0456925705075264,
-0.04745674505829811,
-0.022266842424869537,
0.017414426431059837,
0.07051772624254227,
-0.03910106047987938,
-0.07961929589509964,
-0.029895104467868805,
0.054614342749118805,
-0.04299584776163101,
-0.00536367017775774,
-0.062319524586200714,
-0.060431551188230515,
-0.021696550771594048,
0.07299716770648956,
0.062419742345809937,
0.03183518722653389,
-0.056093789637088776,
-0.04432429000735283,
0.12035144120454788,
-0.02896818518638611,
0.0004687077598646283,
0.09176893532276154,
-0.011646119877696037,
0.008933914825320244,
-0.08588182181119919,
0.011487078852951527,
-0.04153230041265488,
0.033104512840509415,
-0.027918679639697075,
-0.020126231014728546,
0.05284707620739937,
0.04531024396419525,
0.09248827397823334,
0.007815779186785221,
-4.4803897480960586e-8,
-0.03210759907960892,
0.0427117757499218,
0.03484303131699562,
0.00854804739356041,
0.04415072128176689,
-0.08691374212503433,
0.01943080872297287,
-0.0011768200201913714,
-0.025852594524621964,
0.07211223244667053,
0.02883026748895645,
0.05380355194211006,
-0.051001474261283875,
-0.028022002428770065,
0.03504754975438118,
0.019826192408800125,
-0.00891485158354044,
-0.08005879074335098,
0.013240923173725605,
0.06958670169115067,
-0.04099254310131073,
-0.01960390992462635,
0.02590583637356758,
0.005137940403074026,
-0.0558050163090229,
0.02839145064353943,
-0.026324208825826645,
-0.008863496594130993,
-0.02640613541007042,
0.05751386284828186,
-0.0026029893197119236,
0.0180557481944561,
0.06322051584720612,
-0.0443204827606678,
0.011951620690524578,
-0.0112560223788023,
-0.04940013960003853,
0.10291037708520889,
-0.009086241945624352,
-0.10091105848550797,
-0.0796910747885704,
-0.02726420946419239,
-0.050219178199768066,
-0.007681547198444605,
0.08811891078948975,
-0.08086482435464859,
-0.044112060219049454,
0.026529649272561073,
-0.12699969112873077,
0.10133156180381775,
-0.040697548538446426,
-0.02478421851992607,
-0.0053844447247684,
0.04127683863043785,
-0.006702069193124771,
-0.10009847581386566,
0.04862191900610924,
0.024808205664157867,
0.025570956990122795,
-0.053842782974243164,
-0.02125571109354496,
0.06885648518800735,
0.04129081219434738,
0.01793099381029606
] | null | null | null | null | null | null | null |
[
-0.016775431111454964,
0.07453779876232147,
0.05476934835314751,
-0.0046341740526258945,
0.01038436871021986,
0.0594770610332489,
0.091776043176651,
0.010957861319184303,
0.04621986672282219,
0.002064491854980588,
-0.03709206357598305,
-0.0070380098186433315,
0.08290287852287292,
0.009818026795983315,
-0.014968409202992916,
0.09099175035953522,
-0.10712657868862152,
-0.0313391275703907,
-0.07022035866975784,
-0.06082294508814812,
-0.029476197436451912,
-0.1166960820555687,
0.024632375687360764,
-0.04870696738362312,
-0.026062382385134697,
-0.05363363400101662,
-0.00480656698346138,
-0.03072420507669449,
0.05079348757863045,
0.03293812274932861,
-0.03728527948260307,
0.03836677595973015,
0.06367062777280807,
0.04345820099115372,
0.017630796879529953,
-0.03123755194246769,
0.08169105648994446,
0.014714890159666538,
-0.02030164934694767,
0.1069997176527977,
0.03493731468915939,
0.04526897892355919,
-0.033185336738824844,
0.027186114341020584,
-0.05590919032692909,
0.083232082426548,
-0.009124316275119781,
-0.0035199441481381655,
-0.10430449992418289,
-0.08978435397148132,
-0.025570446625351906,
0.013264322653412819,
-0.08722196519374847,
0.03917405381798744,
-0.00442552100867033,
-0.044785913079977036,
-0.005065564997494221,
-0.029141325503587723,
0.05132684111595154,
0.021160773932933807,
0.05140937864780426,
-0.042079322040081024,
-0.038178879767656326,
0.03223893791437149,
0.048298805952072144,
0.12059002369642258,
0.04608951508998871,
-0.05612994357943535,
-0.08212367445230484,
0.043198324739933014,
-0.0026762874331325293,
0.03150954842567444,
-0.057405952364206314,
0.007281969767063856,
0.012397673912346363,
0.05854794383049011,
0.03911473974585533,
0.027869030833244324,
-0.07838626205921173,
-0.13916848599910736,
-0.02710835076868534,
-0.056376513093709946,
-0.027895981445908546,
0.006523020565509796,
0.07850395888090134,
0.01020907424390316,
-0.10586338490247726,
-0.09450578689575195,
-0.04617536813020706,
-0.021642066538333893,
0.02991006150841713,
0.03115883655846119,
-0.030395841225981712,
0.02732410840690136,
0.00487020006403327,
-0.045274924486875534,
0.041786350309848785,
-0.028500784188508987,
0.10276606678962708,
0.05936009809374809,
0.0228563342243433,
-0.044635891914367676,
0.028544841334223747,
-0.012783575803041458,
0.043598007410764694,
0.004533594008535147,
0.052674923092126846,
0.05075586959719658,
-0.043304480612277985,
-0.03316966071724892,
0.1085343137383461,
-0.04147840291261673,
0.03790811076760292,
0.019012250006198883,
-0.06458534300327301,
0.018503664061427116,
0.0003381703281775117,
0.03461546450853348,
0.0033419174142181873,
-0.007833278737962246,
0.042298778891563416,
0.0015286520356312394,
-0.010586082935333252,
-0.014840954914689064,
0.04790740832686424,
-0.048518333584070206,
-0.05346929654479027,
1.9884058160945096e-33,
0.13413043320178986,
-0.008676701225340366,
0.0801093801856041,
0.018849054351449013,
0.08543314784765244,
0.04973749816417694,
-0.036868754774332047,
-0.048602890223264694,
-0.04313648119568825,
-0.037616100162267685,
0.04164113104343414,
0.018488973379135132,
-0.03830776736140251,
0.009076644666492939,
0.022412050515413284,
0.020831506699323654,
0.03727599233388901,
-0.019386563450098038,
-0.01575436256825924,
0.02143164724111557,
0.09977875649929047,
0.08057165890932083,
-0.004999904427677393,
-0.06271671503782272,
-0.011601638980209827,
0.03940857946872711,
0.053478971123695374,
0.005667717196047306,
0.0609651580452919,
0.010504361242055893,
-0.08662714064121246,
0.07809668779373169,
-0.0019164830446243286,
0.05256428197026253,
0.007138380780816078,
-0.01644572615623474,
-0.05257158726453781,
-0.02509506791830063,
-0.046839337795972824,
0.08368811756372452,
-0.07705419510602951,
0.07182586938142776,
-0.009212442673742771,
-0.08230509608983994,
0.06142715737223625,
-0.02462940476834774,
0.005426737014204264,
-0.01154008973389864,
-0.04691491276025772,
0.016314351931214333,
-0.0465167760848999,
0.021102065220475197,
-0.042204584926366806,
-0.06577129662036896,
0.0183839350938797,
-0.04286427050828934,
-0.05152563378214836,
0.013139991089701653,
0.09670029580593109,
0.08031322807073593,
0.004134687129408121,
0.06293366104364395,
-0.05951124429702759,
0.02020237408578396,
-0.014974860474467278,
0.027626557275652885,
-0.031382009387016296,
-0.008544765412807465,
0.055429767817258835,
0.005794197786599398,
-0.029400400817394257,
0.05475815013051033,
0.00870551634579897,
-0.08486805111169815,
0.05402921140193939,
-0.05806047096848488,
-0.00022880603501107544,
-0.09312278032302856,
-0.011471040546894073,
0.01808103732764721,
-0.03299283608794212,
-0.05112951621413231,
-0.01264266949146986,
-0.09249478578567505,
-0.07963798940181732,
-0.0664822980761528,
-0.0004443269863259047,
0.011242065578699112,
-0.023832669481635094,
-0.10451660305261612,
0.04266269505023956,
0.0062501863576471806,
-0.02567712403833866,
-0.042206164449453354,
-0.02911369502544403,
-3.647565215415297e-33,
-0.012070302851498127,
-0.0320885069668293,
-0.04651628062129021,
0.11329024285078049,
-0.06219751387834549,
0.00892630685120821,
0.04612834379076958,
0.08004701882600784,
-0.09819775819778442,
-0.015676775947213173,
0.08495751768350601,
0.03819122910499573,
-0.026622356846928596,
0.05472263693809509,
0.011580418795347214,
-0.007006621453911066,
-0.001198332291096449,
0.04262453317642212,
-0.07178661227226257,
0.013757207430899143,
-0.0012624188093468547,
0.004335916135460138,
0.006931003648787737,
-0.01228398084640503,
-0.004957061726599932,
0.0053990925662219524,
-0.03495575487613678,
0.03392781689763069,
-0.032764188945293427,
0.04824638366699219,
-0.02224591188132763,
-0.056687720119953156,
-0.09939533472061157,
-0.06594260782003403,
0.014675145037472248,
-0.0987233966588974,
0.09038763493299484,
0.040577661246061325,
-0.04404859244823456,
0.11349005997180939,
0.03359676152467728,
-0.05984088405966759,
0.051608942449092865,
0.04416339844465256,
0.025369688868522644,
-0.007698840461671352,
-0.012640106491744518,
0.0878959596157074,
-0.060362983494997025,
-0.07505747675895691,
0.02533913403749466,
-0.07712917774915695,
0.04032289609313011,
-0.06869307905435562,
0.013701807707548141,
-0.028209595009684563,
-0.0062919361516833305,
0.008912276476621628,
-0.01883312314748764,
0.05235105752944946,
-0.0456925705075264,
-0.04745674505829811,
-0.022266842424869537,
0.017414426431059837,
0.07051772624254227,
-0.03910106047987938,
-0.07961929589509964,
-0.029895104467868805,
0.054614342749118805,
-0.04299584776163101,
-0.00536367017775774,
-0.062319524586200714,
-0.060431551188230515,
-0.021696550771594048,
0.07299716770648956,
0.062419742345809937,
0.03183518722653389,
-0.056093789637088776,
-0.04432429000735283,
0.12035144120454788,
-0.02896818518638611,
0.0004687077598646283,
0.09176893532276154,
-0.011646119877696037,
0.008933914825320244,
-0.08588182181119919,
0.011487078852951527,
-0.04153230041265488,
0.033104512840509415,
-0.027918679639697075,
-0.020126231014728546,
0.05284707620739937,
0.04531024396419525,
0.09248827397823334,
0.007815779186785221,
-4.4803897480960586e-8,
-0.03210759907960892,
0.0427117757499218,
0.03484303131699562,
0.00854804739356041,
0.04415072128176689,
-0.08691374212503433,
0.01943080872297287,
-0.0011768200201913714,
-0.025852594524621964,
0.07211223244667053,
0.02883026748895645,
0.05380355194211006,
-0.051001474261283875,
-0.028022002428770065,
0.03504754975438118,
0.019826192408800125,
-0.00891485158354044,
-0.08005879074335098,
0.013240923173725605,
0.06958670169115067,
-0.04099254310131073,
-0.01960390992462635,
0.02590583637356758,
0.005137940403074026,
-0.0558050163090229,
0.02839145064353943,
-0.026324208825826645,
-0.008863496594130993,
-0.02640613541007042,
0.05751386284828186,
-0.0026029893197119236,
0.0180557481944561,
0.06322051584720612,
-0.0443204827606678,
0.011951620690524578,
-0.0112560223788023,
-0.04940013960003853,
0.10291037708520889,
-0.009086241945624352,
-0.10091105848550797,
-0.0796910747885704,
-0.02726420946419239,
-0.050219178199768066,
-0.007681547198444605,
0.08811891078948975,
-0.08086482435464859,
-0.044112060219049454,
0.026529649272561073,
-0.12699969112873077,
0.10133156180381775,
-0.040697548538446426,
-0.02478421851992607,
-0.0053844447247684,
0.04127683863043785,
-0.006702069193124771,
-0.10009847581386566,
0.04862191900610924,
0.024808205664157867,
0.025570956990122795,
-0.053842782974243164,
-0.02125571109354496,
0.06885648518800735,
0.04129081219434738,
0.01793099381029606
] |
1401.6488
|
Dusko Pavlovic
|
Dusko Pavlovic
|
Chasing diagrams in cryptography
|
17 pages, 4 figures; to appear in: 'Categories in Logic, Language and
Physics. Festschrift on the occasion of Jim Lambek's 90th birthday', Claudia
Casadio, Bob Coecke, Michael Moortgat, and Philip Scott (editors); this
version: fixed typos found by kind readers
| null | null | null |
cs.CR math.CT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cryptography is a theory of secret functions. Category theory is a general
theory of functions. Cryptography has reached a stage where its structures
often take several pages to define, and its formulas sometimes run from page to
page. Category theory has some complicated definitions as well, but one of its
specialties is taming the flood of structure. Cryptography seems to be in need
of high level methods, whereas category theory always needs concrete
applications. So why is there no categorical cryptography? One reason may be
that the foundations of modern cryptography are built from probabilistic
polynomial-time Turing machines, and category theory does not have a good
handle on such things. On the other hand, such foundational problems might be
the very reason why cryptographic constructions often resemble low level
machine programming. I present some preliminary explorations towards
categorical cryptography. It turns out that some of the main security concepts
are easily characterized through the categorical technique of *diagram
chasing*, which was first used Lambek's seminal `Lecture Notes on Rings and
Modules'.
|
[
{
"created": "Sat, 25 Jan 2014 02:21:38 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 2016 23:01:50 GMT",
"version": "v2"
}
] |
2016-11-09
|
[
[
"Pavlovic",
"Dusko",
""
]
] |
[
0.02240404114127159,
-0.009179896675050259,
-0.03797675669193268,
-0.024847183376550674,
-0.04082989692687988,
-0.07242579758167267,
-0.08527916669845581,
0.0269977618008852,
0.020696524530649185,
0.012106071226298809,
-0.10656251013278961,
-0.02615177258849144,
0.017574332654476166,
0.03601799160242081,
0.10046909749507904,
-0.07152746617794037,
-0.02633320540189743,
0.06825339794158936,
0.005999946966767311,
-0.006150715984404087,
-0.022466665133833885,
-0.03280423581600189,
-0.00980035774409771,
-0.04373674467206001,
-0.05662229657173157,
0.01051134243607521,
-0.018402142450213432,
-0.0807114690542221,
-0.06391258537769318,
-0.03242596238851547,
-0.03880724310874939,
0.05025343969464302,
0.0501062273979187,
0.06059359759092331,
-0.058293528854846954,
0.05982799455523491,
0.0248124897480011,
-0.08264223486185074,
-0.002791783306747675,
-0.0030463128350675106,
-0.13048876821994781,
0.0015156418085098267,
-0.014424470253288746,
0.012876443564891815,
0.00208683661185205,
0.038565948605537415,
0.021274248138070107,
-0.01551070250570774,
-0.10486958920955658,
-0.11171377450227737,
-0.02219056710600853,
-0.002622314030304551,
-0.024600602686405182,
0.019117511808872223,
-0.052748553454875946,
-0.061003249138593674,
0.027484675869345665,
-0.05843596160411835,
-0.054815251380205154,
-0.03851878643035889,
-0.06448692828416824,
0.015160496346652508,
-0.011583375744521618,
0.03581412881612778,
0.0048518856056034565,
0.0009220117935910821,
-0.004455758724361658,
0.0575229786336422,
0.07721506059169769,
0.04341444745659828,
-0.010124396532773972,
-0.00944435503333807,
-0.0967472642660141,
0.058438919484615326,
0.054123975336551666,
-0.03577178344130516,
0.09888346493244171,
0.012690882198512554,
-0.01252664066851139,
0.00472675496712327,
0.011723888106644154,
0.018103444948792458,
0.04958736523985863,
0.09555517137050629,
0.05909784883260727,
0.048113178461790085,
-0.027977967634797096,
-0.007722512353211641,
-0.11218025535345078,
-0.03866610676050186,
0.030150344595313072,
-0.058091405779123306,
0.045904189348220825,
-0.0008905396098271012,
0.04241479933261871,
-0.07845408469438553,
0.04536940157413483,
-0.05413828790187836,
0.015709618106484413,
-0.0011775504099205136,
-0.04502125456929207,
-0.023992324247956276,
0.01291104219853878,
-0.10956603288650513,
0.0854027196764946,
0.027811044827103615,
0.04766733944416046,
-0.007403708528727293,
0.044955216348171234,
-0.009556220844388008,
-0.018296124413609505,
0.02610667236149311,
-0.00614806218072772,
-0.05483286827802658,
-0.031106825917959213,
0.009444822557270527,
-0.03919832780957222,
0.031436625868082047,
0.04076946899294853,
0.10267162322998047,
0.020787326619029045,
0.011885988526046276,
-0.0285344198346138,
0.011028529144823551,
-0.0040315501391887665,
-0.017335379496216774,
-0.10711938142776489,
2.4729078533049933e-33,
-0.029911136254668236,
-0.038883473724126816,
-0.03039512224495411,
-0.009897880256175995,
0.07672636210918427,
-0.03530473634600639,
0.07410339266061783,
-0.03612469136714935,
0.05045212805271149,
0.1237405464053154,
0.006449687294661999,
0.1018509566783905,
-0.015313339419662952,
0.02228737436234951,
0.08377057313919067,
0.003031231928616762,
0.06407378613948822,
-0.044014085084199905,
-0.017341308295726776,
-0.042445506900548935,
0.03631719946861267,
0.061363816261291504,
0.04137256368994713,
0.012835610657930374,
0.06773597747087479,
0.06346725672483444,
-0.003816489363089204,
-0.06788845360279083,
0.03630303591489792,
0.04890181124210358,
-0.07230929285287857,
0.05841665714979172,
0.00016720568237360567,
0.03564852103590965,
-0.0033569016959518194,
0.04053502902388573,
0.07262098044157028,
-0.07906240969896317,
0.03773030266165733,
-0.07977448403835297,
-0.005289921537041664,
-0.009689582511782646,
-0.008322186768054962,
-0.04250836372375488,
0.029327621683478355,
0.0045208390802145,
0.005963556468486786,
-0.010495870374143124,
0.00047154133790172637,
-0.0036604644265025854,
-0.010836844332516193,
0.006652734242379665,
-0.04658069461584091,
-0.013189435005187988,
0.012662075459957123,
-0.03259114921092987,
-0.05513700097799301,
-0.069004125893116,
-0.0746375098824501,
0.08101922273635864,
-0.05761517211794853,
0.029012778773903847,
0.05589655041694641,
-0.03276212513446808,
-0.10005772113800049,
-0.03511254861950874,
-0.015482240356504917,
-0.022663816809654236,
0.007994340732693672,
0.07367027550935745,
-0.024201631546020508,
0.020520811900496483,
-0.03422871232032776,
-0.032880932092666626,
0.02252691611647606,
0.03549840673804283,
0.00800499226897955,
-0.04021492227911949,
-0.026756679639220238,
0.05236585810780525,
-0.019187774509191513,
0.052563831210136414,
0.03183380141854286,
-0.0001806151558412239,
0.042323000729084015,
0.023043140769004822,
0.026417911052703857,
0.053689900785684586,
-0.03947806358337402,
-0.01958322338759899,
-0.12885509431362152,
-0.029382970184087753,
0.07153650373220444,
-0.004312449134886265,
0.03315811976790428,
-5.8164478015984216e-33,
-0.051927290856838226,
-0.052665822207927704,
-0.10299482941627502,
0.0034231035970151424,
-0.07017539441585541,
-0.0395989827811718,
-0.025837669149041176,
-0.08693824708461761,
0.015979798510670662,
0.06902207434177399,
-0.0849325880408287,
-0.022336838766932487,
0.058375511318445206,
0.005315117072314024,
0.05724926292896271,
-0.10326644033193588,
-0.0657428428530693,
0.053611986339092255,
0.02501489967107773,
0.052136510610580444,
0.03542957827448845,
0.09326423704624176,
-0.16135472059249878,
0.0058264643885195255,
0.11276906728744507,
-0.021509598940610886,
-0.1119341254234314,
-0.015124757774174213,
0.051842182874679565,
0.04574817419052124,
-0.09540816396474838,
-0.009971622377634048,
0.03661713749170303,
-0.020212868228554726,
-0.00009740729001350701,
-0.025955792516469955,
0.010448225773870945,
-0.012799504213035107,
-0.002661928767338395,
-0.031824443489313126,
-0.024606214836239815,
-0.04700016975402832,
0.029713056981563568,
-0.0894065573811531,
0.037898752838373184,
-0.0387088879942894,
-0.0000071311151259578764,
0.06589485704898834,
0.07591063529253006,
-0.01620548777282238,
0.07438554614782333,
-0.046331245452165604,
0.0630984678864479,
-0.01889597252011299,
0.028150638565421104,
0.07758187502622604,
-0.02563457004725933,
-0.009209025651216507,
0.010078374296426773,
0.10011179000139236,
-0.017792217433452606,
0.04010873660445213,
0.06876223534345627,
0.029002279043197632,
-0.04670664668083191,
0.0065291267819702625,
-0.022312801331281662,
-0.04735241085290909,
-0.012923767790198326,
-0.08038915693759918,
-0.016821779310703278,
0.018903516232967377,
-0.033537015318870544,
0.12970754504203796,
-0.07349762320518494,
0.030190519988536835,
-0.06821943819522858,
-0.04490646719932556,
-0.03199002891778946,
0.026928456500172615,
0.12012173980474472,
-0.047226499766111374,
0.03341666981577873,
0.06051059812307358,
0.05597098171710968,
-0.025800319388508797,
0.05804610252380371,
-0.03383313864469528,
-0.022536683827638626,
-0.03380296751856804,
0.0074892183765769005,
-0.04034030809998512,
0.023248592391610146,
0.08470316231250763,
-0.04408641532063484,
-4.775205653118064e-8,
0.025796538218855858,
0.04180942103266716,
-0.013442869298160076,
-0.07372032105922699,
0.05273998901247978,
0.028209595009684563,
-0.003181017702445388,
-0.07851995527744293,
-0.08214298635721207,
-0.003405515570193529,
0.008882947266101837,
0.09679464250802994,
-0.042222291231155396,
-0.02569366618990898,
0.029812371358275414,
0.055504217743873596,
0.06183010712265968,
-0.05648750439286232,
-0.0006599613116122782,
0.0778220146894455,
0.06746719032526016,
-0.02591243013739586,
-0.07226710766553879,
-0.03128599748015404,
0.011419630609452724,
0.0011837517376989126,
0.010416075587272644,
0.034853495657444,
0.01796041429042816,
0.04608898609876633,
-0.10735315084457397,
-0.026368247345089912,
0.057392917573451996,
0.08405810594558716,
0.06383093446493149,
0.04829566553235054,
-0.0027425624430179596,
-0.038861703127622604,
-0.02181997522711754,
-0.06235100328922272,
0.035709843039512634,
-0.056230124086141586,
0.024289436638355255,
0.012807858176529408,
-0.03235754370689392,
-0.010414105840027332,
0.02728920616209507,
0.0032946665305644274,
-0.013800515793263912,
0.11326984316110611,
-0.03552081808447838,
0.06567537039518356,
-0.045261576771736145,
0.013163184747099876,
-0.045540351420640945,
0.1057942807674408,
-0.03820231929421425,
-0.09223813563585281,
-0.053799498826265335,
0.028317464515566826,
0.0540953129529953,
0.029154308140277863,
0.08047280460596085,
-0.052783429622650146
] | null | null | null | null | null | null | null |
[
0.02240404114127159,
-0.009179896675050259,
-0.03797675669193268,
-0.024847183376550674,
-0.04082989692687988,
-0.07242579758167267,
-0.08527916669845581,
0.0269977618008852,
0.020696524530649185,
0.012106071226298809,
-0.10656251013278961,
-0.02615177258849144,
0.017574332654476166,
0.03601799160242081,
0.10046909749507904,
-0.07152746617794037,
-0.02633320540189743,
0.06825339794158936,
0.005999946966767311,
-0.006150715984404087,
-0.022466665133833885,
-0.03280423581600189,
-0.00980035774409771,
-0.04373674467206001,
-0.05662229657173157,
0.01051134243607521,
-0.018402142450213432,
-0.0807114690542221,
-0.06391258537769318,
-0.03242596238851547,
-0.03880724310874939,
0.05025343969464302,
0.0501062273979187,
0.06059359759092331,
-0.058293528854846954,
0.05982799455523491,
0.0248124897480011,
-0.08264223486185074,
-0.002791783306747675,
-0.0030463128350675106,
-0.13048876821994781,
0.0015156418085098267,
-0.014424470253288746,
0.012876443564891815,
0.00208683661185205,
0.038565948605537415,
0.021274248138070107,
-0.01551070250570774,
-0.10486958920955658,
-0.11171377450227737,
-0.02219056710600853,
-0.002622314030304551,
-0.024600602686405182,
0.019117511808872223,
-0.052748553454875946,
-0.061003249138593674,
0.027484675869345665,
-0.05843596160411835,
-0.054815251380205154,
-0.03851878643035889,
-0.06448692828416824,
0.015160496346652508,
-0.011583375744521618,
0.03581412881612778,
0.0048518856056034565,
0.0009220117935910821,
-0.004455758724361658,
0.0575229786336422,
0.07721506059169769,
0.04341444745659828,
-0.010124396532773972,
-0.00944435503333807,
-0.0967472642660141,
0.058438919484615326,
0.054123975336551666,
-0.03577178344130516,
0.09888346493244171,
0.012690882198512554,
-0.01252664066851139,
0.00472675496712327,
0.011723888106644154,
0.018103444948792458,
0.04958736523985863,
0.09555517137050629,
0.05909784883260727,
0.048113178461790085,
-0.027977967634797096,
-0.007722512353211641,
-0.11218025535345078,
-0.03866610676050186,
0.030150344595313072,
-0.058091405779123306,
0.045904189348220825,
-0.0008905396098271012,
0.04241479933261871,
-0.07845408469438553,
0.04536940157413483,
-0.05413828790187836,
0.015709618106484413,
-0.0011775504099205136,
-0.04502125456929207,
-0.023992324247956276,
0.01291104219853878,
-0.10956603288650513,
0.0854027196764946,
0.027811044827103615,
0.04766733944416046,
-0.007403708528727293,
0.044955216348171234,
-0.009556220844388008,
-0.018296124413609505,
0.02610667236149311,
-0.00614806218072772,
-0.05483286827802658,
-0.031106825917959213,
0.009444822557270527,
-0.03919832780957222,
0.031436625868082047,
0.04076946899294853,
0.10267162322998047,
0.020787326619029045,
0.011885988526046276,
-0.0285344198346138,
0.011028529144823551,
-0.0040315501391887665,
-0.017335379496216774,
-0.10711938142776489,
2.4729078533049933e-33,
-0.029911136254668236,
-0.038883473724126816,
-0.03039512224495411,
-0.009897880256175995,
0.07672636210918427,
-0.03530473634600639,
0.07410339266061783,
-0.03612469136714935,
0.05045212805271149,
0.1237405464053154,
0.006449687294661999,
0.1018509566783905,
-0.015313339419662952,
0.02228737436234951,
0.08377057313919067,
0.003031231928616762,
0.06407378613948822,
-0.044014085084199905,
-0.017341308295726776,
-0.042445506900548935,
0.03631719946861267,
0.061363816261291504,
0.04137256368994713,
0.012835610657930374,
0.06773597747087479,
0.06346725672483444,
-0.003816489363089204,
-0.06788845360279083,
0.03630303591489792,
0.04890181124210358,
-0.07230929285287857,
0.05841665714979172,
0.00016720568237360567,
0.03564852103590965,
-0.0033569016959518194,
0.04053502902388573,
0.07262098044157028,
-0.07906240969896317,
0.03773030266165733,
-0.07977448403835297,
-0.005289921537041664,
-0.009689582511782646,
-0.008322186768054962,
-0.04250836372375488,
0.029327621683478355,
0.0045208390802145,
0.005963556468486786,
-0.010495870374143124,
0.00047154133790172637,
-0.0036604644265025854,
-0.010836844332516193,
0.006652734242379665,
-0.04658069461584091,
-0.013189435005187988,
0.012662075459957123,
-0.03259114921092987,
-0.05513700097799301,
-0.069004125893116,
-0.0746375098824501,
0.08101922273635864,
-0.05761517211794853,
0.029012778773903847,
0.05589655041694641,
-0.03276212513446808,
-0.10005772113800049,
-0.03511254861950874,
-0.015482240356504917,
-0.022663816809654236,
0.007994340732693672,
0.07367027550935745,
-0.024201631546020508,
0.020520811900496483,
-0.03422871232032776,
-0.032880932092666626,
0.02252691611647606,
0.03549840673804283,
0.00800499226897955,
-0.04021492227911949,
-0.026756679639220238,
0.05236585810780525,
-0.019187774509191513,
0.052563831210136414,
0.03183380141854286,
-0.0001806151558412239,
0.042323000729084015,
0.023043140769004822,
0.026417911052703857,
0.053689900785684586,
-0.03947806358337402,
-0.01958322338759899,
-0.12885509431362152,
-0.029382970184087753,
0.07153650373220444,
-0.004312449134886265,
0.03315811976790428,
-5.8164478015984216e-33,
-0.051927290856838226,
-0.052665822207927704,
-0.10299482941627502,
0.0034231035970151424,
-0.07017539441585541,
-0.0395989827811718,
-0.025837669149041176,
-0.08693824708461761,
0.015979798510670662,
0.06902207434177399,
-0.0849325880408287,
-0.022336838766932487,
0.058375511318445206,
0.005315117072314024,
0.05724926292896271,
-0.10326644033193588,
-0.0657428428530693,
0.053611986339092255,
0.02501489967107773,
0.052136510610580444,
0.03542957827448845,
0.09326423704624176,
-0.16135472059249878,
0.0058264643885195255,
0.11276906728744507,
-0.021509598940610886,
-0.1119341254234314,
-0.015124757774174213,
0.051842182874679565,
0.04574817419052124,
-0.09540816396474838,
-0.009971622377634048,
0.03661713749170303,
-0.020212868228554726,
-0.00009740729001350701,
-0.025955792516469955,
0.010448225773870945,
-0.012799504213035107,
-0.002661928767338395,
-0.031824443489313126,
-0.024606214836239815,
-0.04700016975402832,
0.029713056981563568,
-0.0894065573811531,
0.037898752838373184,
-0.0387088879942894,
-0.0000071311151259578764,
0.06589485704898834,
0.07591063529253006,
-0.01620548777282238,
0.07438554614782333,
-0.046331245452165604,
0.0630984678864479,
-0.01889597252011299,
0.028150638565421104,
0.07758187502622604,
-0.02563457004725933,
-0.009209025651216507,
0.010078374296426773,
0.10011179000139236,
-0.017792217433452606,
0.04010873660445213,
0.06876223534345627,
0.029002279043197632,
-0.04670664668083191,
0.0065291267819702625,
-0.022312801331281662,
-0.04735241085290909,
-0.012923767790198326,
-0.08038915693759918,
-0.016821779310703278,
0.018903516232967377,
-0.033537015318870544,
0.12970754504203796,
-0.07349762320518494,
0.030190519988536835,
-0.06821943819522858,
-0.04490646719932556,
-0.03199002891778946,
0.026928456500172615,
0.12012173980474472,
-0.047226499766111374,
0.03341666981577873,
0.06051059812307358,
0.05597098171710968,
-0.025800319388508797,
0.05804610252380371,
-0.03383313864469528,
-0.022536683827638626,
-0.03380296751856804,
0.0074892183765769005,
-0.04034030809998512,
0.023248592391610146,
0.08470316231250763,
-0.04408641532063484,
-4.775205653118064e-8,
0.025796538218855858,
0.04180942103266716,
-0.013442869298160076,
-0.07372032105922699,
0.05273998901247978,
0.028209595009684563,
-0.003181017702445388,
-0.07851995527744293,
-0.08214298635721207,
-0.003405515570193529,
0.008882947266101837,
0.09679464250802994,
-0.042222291231155396,
-0.02569366618990898,
0.029812371358275414,
0.055504217743873596,
0.06183010712265968,
-0.05648750439286232,
-0.0006599613116122782,
0.0778220146894455,
0.06746719032526016,
-0.02591243013739586,
-0.07226710766553879,
-0.03128599748015404,
0.011419630609452724,
0.0011837517376989126,
0.010416075587272644,
0.034853495657444,
0.01796041429042816,
0.04608898609876633,
-0.10735315084457397,
-0.026368247345089912,
0.057392917573451996,
0.08405810594558716,
0.06383093446493149,
0.04829566553235054,
-0.0027425624430179596,
-0.038861703127622604,
-0.02181997522711754,
-0.06235100328922272,
0.035709843039512634,
-0.056230124086141586,
0.024289436638355255,
0.012807858176529408,
-0.03235754370689392,
-0.010414105840027332,
0.02728920616209507,
0.0032946665305644274,
-0.013800515793263912,
0.11326984316110611,
-0.03552081808447838,
0.06567537039518356,
-0.045261576771736145,
0.013163184747099876,
-0.045540351420640945,
0.1057942807674408,
-0.03820231929421425,
-0.09223813563585281,
-0.053799498826265335,
0.028317464515566826,
0.0540953129529953,
0.029154308140277863,
0.08047280460596085,
-0.052783429622650146
] |
1401.6495
|
Wei Jeng
|
Wei Jeng, Daqing He, Jiepu Jiang
|
User Participation in an Academic Social Networking Service: A Survey of
Open Group Users on Mendeley
| null |
Journal of the Association for Information Science and Technology.
66(2015), 890-904
|
10.1002/asi.23225
| null |
cs.SI physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Although there are a number of social networking services that specifically
target scholars, little has been published about the actual practices and the
usage of these so-called academic social networking services (ASNSs). To fill
this gap, we explore the populations of academics who engage in social
activities using an ASNS; as an indicator of further engagement, we also
determine their various motivations for joining a group in ASNSs. Using groups
and their members in Mendeley as the platform for our case study, we obtained
146 participant responses from our online survey about users' common
activities, usage habits, and motivations for joining groups. Our results show
that 1) participants did not engage with social-based features as frequently
and actively as they engaged with research-based features, and 2) users who
joined more groups seemed to have a stronger motivation to increase their
professional visibility and to contribute the research articles they had read
to the group reading list. Our results generate interesting insights into
Mendeley's user populations, their activities, and their motivations relative
to the social features of Mendeley. We also argue that further design of ASNSs
is needed to take greater account of disciplinary differences in scholarly
communication and to establish incentive mechanisms for encouraging user
participation.
|
[
{
"created": "Sat, 25 Jan 2014 04:48:07 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 2014 16:50:59 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jun 2015 20:08:07 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Jeng",
"Wei",
""
],
[
"He",
"Daqing",
""
],
[
"Jiang",
"Jiepu",
""
]
] |
[
-0.057011865079402924,
-0.03852382302284241,
-0.026725009083747864,
0.04942530021071434,
0.05300113186240196,
-0.022237088531255722,
0.02932988479733467,
0.04373428598046303,
0.039719678461551666,
-0.03237954154610634,
-0.04346552863717079,
0.04909082129597664,
0.009352045133709908,
0.018527496606111526,
0.025455575436353683,
-0.041903056204319,
-0.03297438472509384,
-0.09548719227313995,
-0.025092963129281998,
-0.056152671575546265,
-0.06743180006742477,
0.01743943803012371,
0.06830279529094696,
0.0376889742910862,
0.03109065443277359,
-0.07431498914957047,
-0.04677481949329376,
-0.03850621357560158,
-0.023948756977915764,
0.0486520454287529,
0.06290580332279205,
0.08714349567890167,
0.010010823607444763,
-0.003978190943598747,
-0.04875265806913376,
0.02799764834344387,
0.029738299548625946,
0.08308855444192886,
-0.03551419824361801,
0.0033180906902998686,
-0.08611631393432617,
-0.07363101094961166,
0.04959126561880112,
0.06127166375517845,
-0.028862517327070236,
-0.02614431269466877,
0.0060417382046580315,
0.032129693776369095,
-0.031810544431209564,
0.04714793339371681,
0.005079428665339947,
-0.034879375249147415,
0.07715354114770889,
0.012058191001415253,
0.00791191216558218,
-0.008448710665106773,
-0.0015695568872615695,
0.028522662818431854,
-0.044586241245269775,
-0.02496347762644291,
0.007861711084842682,
-0.06384960561990738,
-0.05504120513796806,
0.03195201978087425,
-0.028634194284677505,
-0.015030749142169952,
-0.008147194050252438,
0.032804325222969055,
0.05020175129175186,
-0.0006576492451131344,
0.04297425225377083,
0.011033352464437485,
0.010378677397966385,
0.04475117474794388,
0.13053497672080994,
-0.06701711565256119,
0.0012737746583297849,
-0.03676162287592888,
0.07639368623495102,
-0.031475894153118134,
0.05427923426032066,
0.029579926282167435,
0.019273338839411736,
0.05326632782816887,
-0.11641079187393188,
-0.03611414134502411,
-0.003011970780789852,
-0.05374660715460777,
-0.029394909739494324,
-0.009490656666457653,
-0.024152005091309547,
0.06417267769575119,
-0.005061276722699404,
-0.08042658120393753,
-0.03152777627110481,
0.011920064687728882,
0.09644389897584915,
-0.020832393318414688,
-0.01488974504172802,
0.07634436339139938,
-0.026449700817465782,
0.07188109308481216,
0.05797799676656723,
-0.010795325972139835,
-0.02284136787056923,
0.051134299486875534,
-0.04657942056655884,
0.04469345882534981,
0.057083163410425186,
0.09146863967180252,
-0.027806367725133896,
0.04071949049830437,
-0.0623408742249012,
-0.009420046582818031,
0.08096417784690857,
-0.05336269736289978,
0.00296603050082922,
0.0645551085472107,
0.11668173968791962,
0.06512846052646637,
0.028759170323610306,
0.11011020094156265,
0.07978376746177673,
-0.05248517543077469,
0.0700063481926918,
0.07845936715602875,
-0.10032599419355392,
9.338083041894096e-34,
0.044854044914245605,
0.07480530440807343,
0.0077199083752930164,
0.10939199477434158,
-0.05298581346869469,
-0.038032494485378265,
-0.06915087252855301,
0.03554849326610565,
-0.07949239015579224,
-0.07407501339912415,
0.0026548143941909075,
0.14748142659664154,
0.07207154482603073,
0.0853366106748581,
0.07035867869853973,
-0.046884387731552124,
0.03176167607307434,
-0.05182009935379028,
-0.0022325871977955103,
0.011712930165231228,
0.03591287508606911,
-0.06627584248781204,
-0.008652486838400364,
0.08599071949720383,
-0.03470629081130028,
-0.05315138399600983,
-0.013396961614489555,
-0.04410712048411369,
0.021404670551419258,
0.022169416770339012,
0.03188769519329071,
-0.022198768332600594,
-0.04979538545012474,
-0.11636444181203842,
0.06433771550655365,
0.001179868238978088,
0.06571677327156067,
-0.13650265336036682,
0.09880732744932175,
-0.02939986251294613,
-0.05518479645252228,
0.03971713408827782,
0.03569149598479271,
0.040105514228343964,
-0.046826887875795364,
0.05090305209159851,
0.03383762016892433,
0.024558939039707184,
0.03747278451919556,
0.03709997236728668,
0.024621712043881416,
-0.013826524838805199,
0.0718916803598404,
0.03220106661319733,
-0.03870215639472008,
-0.025115905329585075,
-0.03717922046780586,
-0.021557297557592392,
0.04285411536693573,
-0.09811777621507645,
0.07695247232913971,
0.04768456518650055,
0.05170297622680664,
-0.0015647520776838064,
-0.05233093723654747,
-0.014644701033830643,
-0.0055598607286810875,
0.002591749420389533,
0.009486346505582333,
-0.025469793006777763,
-0.010428780689835548,
0.0010119775542989373,
-0.10322190821170807,
-0.046792689710855484,
-0.042783793061971664,
0.06337637454271317,
-0.04833730682730675,
0.01156119629740715,
0.00941753014922142,
0.002796931192278862,
0.025879090651869774,
-0.0178377702832222,
-0.021945543587207794,
-0.04375039413571358,
-0.04446359723806381,
-0.02484316937625408,
0.07106303423643112,
-0.06102464720606804,
0.03588541969656944,
0.010806936770677567,
0.01151841040700674,
-0.028977183625102043,
0.011259058490395546,
0.06856837123632431,
-0.068937748670578,
-1.4330408468191313e-33,
-0.03769398108124733,
-0.09969637542963028,
0.05070051923394203,
-0.013142847456037998,
0.030253438279032707,
0.0027472705114632845,
0.05247827246785164,
-0.047038156539201736,
-0.019003156572580338,
0.01995452307164669,
-0.012455413118004799,
-0.07086362689733505,
-0.04420386999845505,
-0.014287244528532028,
0.005038440693169832,
-0.035026729106903076,
0.020593374967575073,
0.0043364036828279495,
-0.031780585646629333,
0.018273843452334404,
0.032583631575107574,
-0.01629353128373623,
-0.04079218581318855,
-0.02549305371940136,
0.09304098784923553,
-0.03598090633749962,
0.0038226130418479443,
-0.04237137734889984,
-0.027342626824975014,
0.04073736444115639,
0.06683774292469025,
0.029508676379919052,
-0.03022044338285923,
-0.06874007731676102,
-0.024817710742354393,
0.09273767471313477,
0.007856085896492004,
0.035050537437200546,
-0.05661974847316742,
-0.07503300905227661,
0.014973294921219349,
0.057839713990688324,
-0.050087910145521164,
0.002899843966588378,
-0.06715279817581177,
0.08377188444137573,
-0.04610343649983406,
-0.0072534047067165375,
-0.07291977852582932,
-0.04412714019417763,
-0.023841943591833115,
-0.0692858099937439,
0.05045287311077118,
-0.05090047046542168,
-0.021840138360857964,
0.0067017353139817715,
0.01023448072373867,
0.018991488963365555,
-0.022874504327774048,
0.05087912827730179,
-0.05098799616098404,
0.025387778878211975,
-0.06786589324474335,
0.09460701048374176,
-0.01062034908682108,
-0.17278555035591125,
0.009691433981060982,
0.02917821705341339,
-0.0859936848282814,
-0.01206277497112751,
0.0327301025390625,
-0.09026642888784409,
0.02609284408390522,
-0.034368570894002914,
-0.031211473047733307,
0.025281041860580444,
0.0407017283141613,
-0.05495778098702431,
-0.07367635518312454,
0.026649244129657745,
-0.06824024766683578,
-0.024378564208745956,
0.03729567676782608,
-0.03348325565457344,
0.008401152677834034,
-0.01718810759484768,
0.0225687175989151,
0.12937651574611664,
-0.0604148730635643,
-0.017978420481085777,
0.0743538960814476,
-0.07339056581258774,
-0.0895686000585556,
0.0399823859333992,
0.007375187706202269,
-4.6967457478785946e-8,
-0.016287583857774734,
0.026730090379714966,
-0.032035890966653824,
0.04842063784599304,
-0.02043662779033184,
0.00797999743372202,
-0.016853826120495796,
-0.010628190822899342,
-0.005122871603816748,
0.03290180489420891,
-0.008492723107337952,
-0.04619947448372841,
-0.025445343926548958,
0.0017999428091570735,
0.10929295420646667,
0.030723825097084045,
-0.004465935751795769,
-0.04668757691979408,
-0.041604217141866684,
-0.0254592876881361,
0.052795205265283585,
-0.04239913076162338,
-0.08411096781492233,
-0.06871268153190613,
0.06381528824567795,
0.10087158530950546,
-0.032258059829473495,
0.01584607921540737,
0.021760934963822365,
-0.06281670182943344,
-0.07571530342102051,
0.050392333418130875,
-0.06809579581022263,
-0.022729333490133286,
0.04020049422979355,
-0.020179638639092445,
-0.030709095299243927,
-0.010651713237166405,
0.06984420120716095,
0.08894162625074387,
-0.004725986160337925,
0.0043244934640824795,
0.05657358467578888,
0.06311214715242386,
-0.0059801070019602776,
0.05965530499815941,
-0.01980910636484623,
0.06049434468150139,
-0.019311830401420593,
0.039659660309553146,
0.011334205977618694,
-0.09633729606866837,
0.0885920375585556,
-0.00483681820333004,
0.017818491905927658,
-0.055665839463472366,
0.020017247647047043,
0.07412489503622055,
0.006745673716068268,
-0.06023785099387169,
0.06317256391048431,
-0.04555131122469902,
-0.09614881873130798,
-0.004825360141694546
] | null | null | null | null | null | null | null |
[
-0.057011865079402924,
-0.03852382302284241,
-0.026725009083747864,
0.04942530021071434,
0.05300113186240196,
-0.022237088531255722,
0.02932988479733467,
0.04373428598046303,
0.039719678461551666,
-0.03237954154610634,
-0.04346552863717079,
0.04909082129597664,
0.009352045133709908,
0.018527496606111526,
0.025455575436353683,
-0.041903056204319,
-0.03297438472509384,
-0.09548719227313995,
-0.025092963129281998,
-0.056152671575546265,
-0.06743180006742477,
0.01743943803012371,
0.06830279529094696,
0.0376889742910862,
0.03109065443277359,
-0.07431498914957047,
-0.04677481949329376,
-0.03850621357560158,
-0.023948756977915764,
0.0486520454287529,
0.06290580332279205,
0.08714349567890167,
0.010010823607444763,
-0.003978190943598747,
-0.04875265806913376,
0.02799764834344387,
0.029738299548625946,
0.08308855444192886,
-0.03551419824361801,
0.0033180906902998686,
-0.08611631393432617,
-0.07363101094961166,
0.04959126561880112,
0.06127166375517845,
-0.028862517327070236,
-0.02614431269466877,
0.0060417382046580315,
0.032129693776369095,
-0.031810544431209564,
0.04714793339371681,
0.005079428665339947,
-0.034879375249147415,
0.07715354114770889,
0.012058191001415253,
0.00791191216558218,
-0.008448710665106773,
-0.0015695568872615695,
0.028522662818431854,
-0.044586241245269775,
-0.02496347762644291,
0.007861711084842682,
-0.06384960561990738,
-0.05504120513796806,
0.03195201978087425,
-0.028634194284677505,
-0.015030749142169952,
-0.008147194050252438,
0.032804325222969055,
0.05020175129175186,
-0.0006576492451131344,
0.04297425225377083,
0.011033352464437485,
0.010378677397966385,
0.04475117474794388,
0.13053497672080994,
-0.06701711565256119,
0.0012737746583297849,
-0.03676162287592888,
0.07639368623495102,
-0.031475894153118134,
0.05427923426032066,
0.029579926282167435,
0.019273338839411736,
0.05326632782816887,
-0.11641079187393188,
-0.03611414134502411,
-0.003011970780789852,
-0.05374660715460777,
-0.029394909739494324,
-0.009490656666457653,
-0.024152005091309547,
0.06417267769575119,
-0.005061276722699404,
-0.08042658120393753,
-0.03152777627110481,
0.011920064687728882,
0.09644389897584915,
-0.020832393318414688,
-0.01488974504172802,
0.07634436339139938,
-0.026449700817465782,
0.07188109308481216,
0.05797799676656723,
-0.010795325972139835,
-0.02284136787056923,
0.051134299486875534,
-0.04657942056655884,
0.04469345882534981,
0.057083163410425186,
0.09146863967180252,
-0.027806367725133896,
0.04071949049830437,
-0.0623408742249012,
-0.009420046582818031,
0.08096417784690857,
-0.05336269736289978,
0.00296603050082922,
0.0645551085472107,
0.11668173968791962,
0.06512846052646637,
0.028759170323610306,
0.11011020094156265,
0.07978376746177673,
-0.05248517543077469,
0.0700063481926918,
0.07845936715602875,
-0.10032599419355392,
9.338083041894096e-34,
0.044854044914245605,
0.07480530440807343,
0.0077199083752930164,
0.10939199477434158,
-0.05298581346869469,
-0.038032494485378265,
-0.06915087252855301,
0.03554849326610565,
-0.07949239015579224,
-0.07407501339912415,
0.0026548143941909075,
0.14748142659664154,
0.07207154482603073,
0.0853366106748581,
0.07035867869853973,
-0.046884387731552124,
0.03176167607307434,
-0.05182009935379028,
-0.0022325871977955103,
0.011712930165231228,
0.03591287508606911,
-0.06627584248781204,
-0.008652486838400364,
0.08599071949720383,
-0.03470629081130028,
-0.05315138399600983,
-0.013396961614489555,
-0.04410712048411369,
0.021404670551419258,
0.022169416770339012,
0.03188769519329071,
-0.022198768332600594,
-0.04979538545012474,
-0.11636444181203842,
0.06433771550655365,
0.001179868238978088,
0.06571677327156067,
-0.13650265336036682,
0.09880732744932175,
-0.02939986251294613,
-0.05518479645252228,
0.03971713408827782,
0.03569149598479271,
0.040105514228343964,
-0.046826887875795364,
0.05090305209159851,
0.03383762016892433,
0.024558939039707184,
0.03747278451919556,
0.03709997236728668,
0.024621712043881416,
-0.013826524838805199,
0.0718916803598404,
0.03220106661319733,
-0.03870215639472008,
-0.025115905329585075,
-0.03717922046780586,
-0.021557297557592392,
0.04285411536693573,
-0.09811777621507645,
0.07695247232913971,
0.04768456518650055,
0.05170297622680664,
-0.0015647520776838064,
-0.05233093723654747,
-0.014644701033830643,
-0.0055598607286810875,
0.002591749420389533,
0.009486346505582333,
-0.025469793006777763,
-0.010428780689835548,
0.0010119775542989373,
-0.10322190821170807,
-0.046792689710855484,
-0.042783793061971664,
0.06337637454271317,
-0.04833730682730675,
0.01156119629740715,
0.00941753014922142,
0.002796931192278862,
0.025879090651869774,
-0.0178377702832222,
-0.021945543587207794,
-0.04375039413571358,
-0.04446359723806381,
-0.02484316937625408,
0.07106303423643112,
-0.06102464720606804,
0.03588541969656944,
0.010806936770677567,
0.01151841040700674,
-0.028977183625102043,
0.011259058490395546,
0.06856837123632431,
-0.068937748670578,
-1.4330408468191313e-33,
-0.03769398108124733,
-0.09969637542963028,
0.05070051923394203,
-0.013142847456037998,
0.030253438279032707,
0.0027472705114632845,
0.05247827246785164,
-0.047038156539201736,
-0.019003156572580338,
0.01995452307164669,
-0.012455413118004799,
-0.07086362689733505,
-0.04420386999845505,
-0.014287244528532028,
0.005038440693169832,
-0.035026729106903076,
0.020593374967575073,
0.0043364036828279495,
-0.031780585646629333,
0.018273843452334404,
0.032583631575107574,
-0.01629353128373623,
-0.04079218581318855,
-0.02549305371940136,
0.09304098784923553,
-0.03598090633749962,
0.0038226130418479443,
-0.04237137734889984,
-0.027342626824975014,
0.04073736444115639,
0.06683774292469025,
0.029508676379919052,
-0.03022044338285923,
-0.06874007731676102,
-0.024817710742354393,
0.09273767471313477,
0.007856085896492004,
0.035050537437200546,
-0.05661974847316742,
-0.07503300905227661,
0.014973294921219349,
0.057839713990688324,
-0.050087910145521164,
0.002899843966588378,
-0.06715279817581177,
0.08377188444137573,
-0.04610343649983406,
-0.0072534047067165375,
-0.07291977852582932,
-0.04412714019417763,
-0.023841943591833115,
-0.0692858099937439,
0.05045287311077118,
-0.05090047046542168,
-0.021840138360857964,
0.0067017353139817715,
0.01023448072373867,
0.018991488963365555,
-0.022874504327774048,
0.05087912827730179,
-0.05098799616098404,
0.025387778878211975,
-0.06786589324474335,
0.09460701048374176,
-0.01062034908682108,
-0.17278555035591125,
0.009691433981060982,
0.02917821705341339,
-0.0859936848282814,
-0.01206277497112751,
0.0327301025390625,
-0.09026642888784409,
0.02609284408390522,
-0.034368570894002914,
-0.031211473047733307,
0.025281041860580444,
0.0407017283141613,
-0.05495778098702431,
-0.07367635518312454,
0.026649244129657745,
-0.06824024766683578,
-0.024378564208745956,
0.03729567676782608,
-0.03348325565457344,
0.008401152677834034,
-0.01718810759484768,
0.0225687175989151,
0.12937651574611664,
-0.0604148730635643,
-0.017978420481085777,
0.0743538960814476,
-0.07339056581258774,
-0.0895686000585556,
0.0399823859333992,
0.007375187706202269,
-4.6967457478785946e-8,
-0.016287583857774734,
0.026730090379714966,
-0.032035890966653824,
0.04842063784599304,
-0.02043662779033184,
0.00797999743372202,
-0.016853826120495796,
-0.010628190822899342,
-0.005122871603816748,
0.03290180489420891,
-0.008492723107337952,
-0.04619947448372841,
-0.025445343926548958,
0.0017999428091570735,
0.10929295420646667,
0.030723825097084045,
-0.004465935751795769,
-0.04668757691979408,
-0.041604217141866684,
-0.0254592876881361,
0.052795205265283585,
-0.04239913076162338,
-0.08411096781492233,
-0.06871268153190613,
0.06381528824567795,
0.10087158530950546,
-0.032258059829473495,
0.01584607921540737,
0.021760934963822365,
-0.06281670182943344,
-0.07571530342102051,
0.050392333418130875,
-0.06809579581022263,
-0.022729333490133286,
0.04020049422979355,
-0.020179638639092445,
-0.030709095299243927,
-0.010651713237166405,
0.06984420120716095,
0.08894162625074387,
-0.004725986160337925,
0.0043244934640824795,
0.05657358467578888,
0.06311214715242386,
-0.0059801070019602776,
0.05965530499815941,
-0.01980910636484623,
0.06049434468150139,
-0.019311830401420593,
0.039659660309553146,
0.011334205977618694,
-0.09633729606866837,
0.0885920375585556,
-0.00483681820333004,
0.017818491905927658,
-0.055665839463472366,
0.020017247647047043,
0.07412489503622055,
0.006745673716068268,
-0.06023785099387169,
0.06317256391048431,
-0.04555131122469902,
-0.09614881873130798,
-0.004825360141694546
] |
1401.6496
|
Eitan Yaakobi
|
Arman Fazeli, Alexander Vardy, and Eitan Yaakobi
|
Generalized Sphere Packing Bound
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Kulkarni and Kiyavash recently introduced a new method to establish upper
bounds on the size of deletion-correcting codes. This method is based upon
tools from hypergraph theory. The deletion channel is represented by a
hypergraph whose edges are the deletion balls (or spheres), so that a
deletion-correcting code becomes a matching in this hypergraph. Consequently, a
bound on the size of such a code can be obtained from bounds on the matching
number of a hypergraph. Classical results in hypergraph theory are then invoked
to compute an upper bound on the matching number as a solution to a
linear-programming problem.
The method by Kulkarni and Kiyavash can be applied not only for the deletion
channel but also for other error channels. This paper studies this method in
its most general setup. First, it is shown that if the error channel is regular
and symmetric then this upper bound coincides with the sphere packing bound and
thus is called the generalized sphere packing bound. Even though this bound is
explicitly given by a linear programming problem, finding its exact value may
still be a challenging task. In order to simplify the complexity of the
problem, we present a technique based upon graph automorphisms that in many
cases reduces the number of variables and constraints in the problem. We then
apply this method on specific examples of error channels. We start with the $Z$
channel and show how to exactly find the generalized sphere packing bound for
this setup. Next studied is the non-binary limited magnitude channel both for
symmetric and asymmetric errors, where we focus on the single-error case. We
follow up on the deletion and grain-error channels and show how to improve upon
the existing upper bounds for single deletion/error. Finally, we apply this
method for projective spaces and find its generalized sphere packing bound for
the single-error case.
|
[
{
"created": "Sat, 25 Jan 2014 04:57:43 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Fazeli",
"Arman",
""
],
[
"Vardy",
"Alexander",
""
],
[
"Yaakobi",
"Eitan",
""
]
] |
[
-0.02535281702876091,
0.03529289737343788,
-0.038117121905088425,
-0.1005510464310646,
-0.005363753996789455,
-0.04532162472605705,
0.04677058011293411,
-0.07846960425376892,
0.006465289741754532,
0.022544296458363533,
-0.04029766470193863,
0.07984008640050888,
0.0524723045527935,
-0.0007763274479657412,
0.021257031708955765,
0.013393125496804714,
0.0006126161897554994,
0.020877357572317123,
-0.061920832842588425,
0.028468947857618332,
0.04030914232134819,
-0.0433381162583828,
-0.06526380777359009,
0.047041136771440506,
0.062406327575445175,
-0.01909557357430458,
0.04987005516886711,
-0.031143995001912117,
-0.015529995784163475,
0.03665325790643692,
-0.006033404264599085,
0.01646910235285759,
0.050735101103782654,
0.0729973092675209,
0.0265545304864645,
0.047425057739019394,
-0.1242285892367363,
-0.040506619960069656,
0.02173115499317646,
0.055255621671676636,
-0.04407868534326553,
0.01744217239320278,
-0.05106065794825554,
0.04566008225083351,
-0.05535105615854263,
0.08675160259008408,
-0.1113789975643158,
0.04854438081383705,
-0.050887130200862885,
-0.10894327610731125,
-0.03048071637749672,
0.03316681459546089,
-0.061805300414562225,
0.024838972836732864,
0.02173756994307041,
-0.1432815045118332,
-0.010430573485791683,
-0.06150103360414505,
-0.0051957992836833,
0.051073428243398666,
0.10506781190633774,
-0.014797978103160858,
0.004631237592548132,
-0.06635456532239914,
0.03097905032336712,
-0.0012926878407597542,
0.029850484803318977,
-0.007992211729288101,
-0.023607946932315826,
0.049255017191171646,
-0.09472621232271194,
-0.018856480717658997,
-0.10379426926374435,
0.13486714661121368,
-0.0030613031703978777,
0.07077383249998093,
0.07207121700048447,
0.03857843577861786,
-0.04309314116835594,
-0.01804257556796074,
0.006254137959331274,
0.009660163894295692,
-0.04134676232933998,
0.03133194148540497,
-0.006386024411767721,
-0.029664119705557823,
-0.03258376941084862,
0.041845064610242844,
0.1244870126247406,
0.010842053219676018,
-0.04048928618431091,
0.03174075111746788,
0.05031994357705116,
0.04274353012442589,
0.05391639471054077,
-0.043774280697107315,
0.03142954781651497,
0.030531983822584152,
0.036478154361248016,
0.09321261942386627,
0.0167604461312294,
-0.0077212294563651085,
0.0003024366160389036,
0.015658939257264137,
-0.010225133039057255,
0.040064841508865356,
-0.0305617805570364,
0.07719945162534714,
0.029067829251289368,
-0.059953052550554276,
-0.02483139932155609,
-0.014168450608849525,
-0.022265873849391937,
0.06578150391578674,
0.006863072980195284,
0.07413700968027115,
0.0839085504412651,
0.11442241072654724,
0.008782435208559036,
0.036003198474645615,
0.01430603675544262,
-0.07281167060136795,
0.03403700888156891,
0.023470785468816757,
-0.045790739357471466,
0.08939964324235916,
-0.008759729564189911,
3.6215915657079245e-33,
-0.040942296385765076,
0.039029523730278015,
-0.04063807800412178,
-0.001535917050205171,
0.05339327082037926,
0.004070121794939041,
0.006538486108183861,
0.00006902474706294015,
0.047622352838516235,
-0.013401679694652557,
-0.08210133016109467,
-0.029163924977183342,
0.07436920702457428,
0.012168359011411667,
0.031589116901159286,
0.048211004585027695,
0.025230703875422478,
0.03153613582253456,
-0.07278728485107422,
-0.11463470011949539,
0.005851759109646082,
-0.03872106969356537,
0.04481014981865883,
0.0037778259720653296,
0.009974323213100433,
-0.03896661847829819,
-0.014992324635386467,
-0.11039935052394867,
0.030276359990239143,
-0.0175300445407629,
-0.07299638539552689,
-0.0073679662309587,
0.0648653507232666,
0.11302390694618225,
0.023132996633648872,
-0.00539423106238246,
0.007620638702064753,
-0.08757694065570831,
-0.03236577659845352,
-0.059850096702575684,
-0.003262704238295555,
0.010112855583429337,
-0.026250438764691353,
-0.043557409197092056,
0.010986417531967163,
-0.07289784401655197,
-0.061621081084012985,
0.061486829072237015,
-0.023847825825214386,
-0.024808762595057487,
0.032628655433654785,
0.03983846306800842,
-0.006116882432252169,
0.0017744629876688123,
-0.03473927825689316,
-0.006251138634979725,
0.05188881605863571,
0.01640470139682293,
0.09802641719579697,
0.11203107237815857,
0.012945108115673065,
-0.009723689407110214,
0.028928600251674652,
0.04098590463399887,
0.03839394077658653,
0.04805491864681244,
-0.03471342474222183,
-0.057112857699394226,
0.03641459718346596,
-0.08079720288515091,
-0.014349227771162987,
0.024222329258918762,
-0.005498801823705435,
-0.01718912087380886,
-0.019127273932099342,
-0.06701602041721344,
0.044435836374759674,
-0.0263165682554245,
-0.06720269471406937,
-0.04962669685482979,
-0.031449515372514725,
0.025038478896021843,
0.031024355441331863,
-0.020712081342935562,
-0.04126804694533348,
-0.07781323790550232,
0.026486407965421677,
-0.013292735442519188,
0.03140409663319588,
-0.061050400137901306,
-0.03521280735731125,
-0.021396560594439507,
-0.04507455229759216,
-0.04047637805342674,
0.080820232629776,
-2.9727991319486562e-33,
0.02966565452516079,
0.019577523693442345,
0.029653405770659447,
0.024215180426836014,
0.003067875513806939,
-0.07683344185352325,
0.0005421732203103602,
-0.04310877248644829,
-0.07198578119277954,
0.004522150848060846,
-0.025779826566576958,
-0.06489651650190353,
-0.027640989050269127,
0.02953014150261879,
0.027059266343712807,
0.0012845154851675034,
-0.010901423171162605,
-0.06317659467458725,
-0.09534409642219543,
0.06494678556919098,
0.0686165913939476,
0.031208524480462074,
-0.04794488847255707,
0.04638777673244476,
-0.0498843714594841,
-0.04328977316617966,
-0.033849723637104034,
0.01493031531572342,
-0.0819643884897232,
0.020336223766207695,
0.023291880264878273,
-0.06610050052404404,
-0.07602579891681671,
0.006014327052980661,
0.12124898284673691,
-0.07765746861696243,
0.048976533114910126,
0.08877845853567123,
-0.0311904139816761,
0.021630441769957542,
0.017060736194252968,
0.004438627511262894,
-0.0721609815955162,
0.020310521125793457,
0.0002945076848845929,
0.09072880446910858,
0.004239778965711594,
0.0619254931807518,
0.005418756976723671,
-0.02148156613111496,
-0.00454698596149683,
-0.04243514686822891,
0.0445164330303669,
0.00796984788030386,
0.0009750231401994824,
0.06814926862716675,
0.01584671624004841,
0.12670990824699402,
0.058869849890470505,
-0.04934564605355263,
-0.06580027937889099,
-0.013973300345242023,
0.03745003789663315,
0.05132286250591278,
0.03797848895192146,
-0.049182288348674774,
-0.003819278674200177,
0.016435209661722183,
-0.05415873974561691,
0.012920133769512177,
-0.04225737601518631,
0.012077556923031807,
-0.021011169999837875,
0.03188769146800041,
0.012562084943056107,
0.06624053418636322,
0.00048518492258153856,
0.0685073658823967,
-0.027502035722136497,
0.09228744357824326,
-0.014177512377500534,
0.024249063804745674,
0.0029814904555678368,
0.05496688187122345,
0.000048292211431544274,
0.03992209583520889,
0.05382809415459633,
0.004643293097615242,
-0.043185774236917496,
-0.07924823462963104,
-0.007876712828874588,
0.014613725244998932,
0.05317304655909538,
0.008385791443288326,
0.02341284230351448,
-4.6543537024490433e-8,
-0.042402949184179306,
-0.05978110432624817,
-0.10456907749176025,
-0.04404497519135475,
0.03594888001680374,
-0.04688527435064316,
0.05458251014351845,
0.15359176695346832,
-0.04999833554029465,
-0.010194373317062855,
0.07604086399078369,
-0.00644258689135313,
-0.11416979134082794,
0.043469734489917755,
-0.05259443446993828,
-0.08307521045207977,
-0.060882486402988434,
-0.01524675264954567,
0.011362109333276749,
0.03189277648925781,
-0.028691086918115616,
0.002023399341851473,
0.10145725309848785,
0.06592801213264465,
0.025835776701569557,
-0.06794244050979614,
0.02066054195165634,
0.055485378950834274,
-0.004710671491920948,
-0.005685549695044756,
0.05547579377889633,
0.01206341665238142,
0.15293611586093903,
0.06628768146038055,
0.0019296450773254037,
0.03006335161626339,
-0.055412743240594864,
0.05330442637205124,
-0.007826928980648518,
0.031379107385873795,
-0.012831670232117176,
0.09418632090091705,
-0.03602632135152817,
-0.04763740301132202,
0.10208858549594879,
-0.009044838137924671,
0.0013443029019981623,
-0.0023207662161439657,
-0.07328636199235916,
-0.07311946153640747,
-0.03197186440229416,
0.050965018570423126,
-0.09639636427164078,
0.005787225440144539,
-0.03619396686553955,
0.010962214320898056,
-0.0802326500415802,
-0.06690410524606705,
0.04292042553424835,
-0.00019006842921953648,
-0.009682855568826199,
0.06475429981946945,
-0.02289823442697525,
-0.07868972420692444
] | null | null | null | null | null | null | null |
[
-0.02535281702876091,
0.03529289737343788,
-0.038117121905088425,
-0.1005510464310646,
-0.005363753996789455,
-0.04532162472605705,
0.04677058011293411,
-0.07846960425376892,
0.006465289741754532,
0.022544296458363533,
-0.04029766470193863,
0.07984008640050888,
0.0524723045527935,
-0.0007763274479657412,
0.021257031708955765,
0.013393125496804714,
0.0006126161897554994,
0.020877357572317123,
-0.061920832842588425,
0.028468947857618332,
0.04030914232134819,
-0.0433381162583828,
-0.06526380777359009,
0.047041136771440506,
0.062406327575445175,
-0.01909557357430458,
0.04987005516886711,
-0.031143995001912117,
-0.015529995784163475,
0.03665325790643692,
-0.006033404264599085,
0.01646910235285759,
0.050735101103782654,
0.0729973092675209,
0.0265545304864645,
0.047425057739019394,
-0.1242285892367363,
-0.040506619960069656,
0.02173115499317646,
0.055255621671676636,
-0.04407868534326553,
0.01744217239320278,
-0.05106065794825554,
0.04566008225083351,
-0.05535105615854263,
0.08675160259008408,
-0.1113789975643158,
0.04854438081383705,
-0.050887130200862885,
-0.10894327610731125,
-0.03048071637749672,
0.03316681459546089,
-0.061805300414562225,
0.024838972836732864,
0.02173756994307041,
-0.1432815045118332,
-0.010430573485791683,
-0.06150103360414505,
-0.0051957992836833,
0.051073428243398666,
0.10506781190633774,
-0.014797978103160858,
0.004631237592548132,
-0.06635456532239914,
0.03097905032336712,
-0.0012926878407597542,
0.029850484803318977,
-0.007992211729288101,
-0.023607946932315826,
0.049255017191171646,
-0.09472621232271194,
-0.018856480717658997,
-0.10379426926374435,
0.13486714661121368,
-0.0030613031703978777,
0.07077383249998093,
0.07207121700048447,
0.03857843577861786,
-0.04309314116835594,
-0.01804257556796074,
0.006254137959331274,
0.009660163894295692,
-0.04134676232933998,
0.03133194148540497,
-0.006386024411767721,
-0.029664119705557823,
-0.03258376941084862,
0.041845064610242844,
0.1244870126247406,
0.010842053219676018,
-0.04048928618431091,
0.03174075111746788,
0.05031994357705116,
0.04274353012442589,
0.05391639471054077,
-0.043774280697107315,
0.03142954781651497,
0.030531983822584152,
0.036478154361248016,
0.09321261942386627,
0.0167604461312294,
-0.0077212294563651085,
0.0003024366160389036,
0.015658939257264137,
-0.010225133039057255,
0.040064841508865356,
-0.0305617805570364,
0.07719945162534714,
0.029067829251289368,
-0.059953052550554276,
-0.02483139932155609,
-0.014168450608849525,
-0.022265873849391937,
0.06578150391578674,
0.006863072980195284,
0.07413700968027115,
0.0839085504412651,
0.11442241072654724,
0.008782435208559036,
0.036003198474645615,
0.01430603675544262,
-0.07281167060136795,
0.03403700888156891,
0.023470785468816757,
-0.045790739357471466,
0.08939964324235916,
-0.008759729564189911,
3.6215915657079245e-33,
-0.040942296385765076,
0.039029523730278015,
-0.04063807800412178,
-0.001535917050205171,
0.05339327082037926,
0.004070121794939041,
0.006538486108183861,
0.00006902474706294015,
0.047622352838516235,
-0.013401679694652557,
-0.08210133016109467,
-0.029163924977183342,
0.07436920702457428,
0.012168359011411667,
0.031589116901159286,
0.048211004585027695,
0.025230703875422478,
0.03153613582253456,
-0.07278728485107422,
-0.11463470011949539,
0.005851759109646082,
-0.03872106969356537,
0.04481014981865883,
0.0037778259720653296,
0.009974323213100433,
-0.03896661847829819,
-0.014992324635386467,
-0.11039935052394867,
0.030276359990239143,
-0.0175300445407629,
-0.07299638539552689,
-0.0073679662309587,
0.0648653507232666,
0.11302390694618225,
0.023132996633648872,
-0.00539423106238246,
0.007620638702064753,
-0.08757694065570831,
-0.03236577659845352,
-0.059850096702575684,
-0.003262704238295555,
0.010112855583429337,
-0.026250438764691353,
-0.043557409197092056,
0.010986417531967163,
-0.07289784401655197,
-0.061621081084012985,
0.061486829072237015,
-0.023847825825214386,
-0.024808762595057487,
0.032628655433654785,
0.03983846306800842,
-0.006116882432252169,
0.0017744629876688123,
-0.03473927825689316,
-0.006251138634979725,
0.05188881605863571,
0.01640470139682293,
0.09802641719579697,
0.11203107237815857,
0.012945108115673065,
-0.009723689407110214,
0.028928600251674652,
0.04098590463399887,
0.03839394077658653,
0.04805491864681244,
-0.03471342474222183,
-0.057112857699394226,
0.03641459718346596,
-0.08079720288515091,
-0.014349227771162987,
0.024222329258918762,
-0.005498801823705435,
-0.01718912087380886,
-0.019127273932099342,
-0.06701602041721344,
0.044435836374759674,
-0.0263165682554245,
-0.06720269471406937,
-0.04962669685482979,
-0.031449515372514725,
0.025038478896021843,
0.031024355441331863,
-0.020712081342935562,
-0.04126804694533348,
-0.07781323790550232,
0.026486407965421677,
-0.013292735442519188,
0.03140409663319588,
-0.061050400137901306,
-0.03521280735731125,
-0.021396560594439507,
-0.04507455229759216,
-0.04047637805342674,
0.080820232629776,
-2.9727991319486562e-33,
0.02966565452516079,
0.019577523693442345,
0.029653405770659447,
0.024215180426836014,
0.003067875513806939,
-0.07683344185352325,
0.0005421732203103602,
-0.04310877248644829,
-0.07198578119277954,
0.004522150848060846,
-0.025779826566576958,
-0.06489651650190353,
-0.027640989050269127,
0.02953014150261879,
0.027059266343712807,
0.0012845154851675034,
-0.010901423171162605,
-0.06317659467458725,
-0.09534409642219543,
0.06494678556919098,
0.0686165913939476,
0.031208524480462074,
-0.04794488847255707,
0.04638777673244476,
-0.0498843714594841,
-0.04328977316617966,
-0.033849723637104034,
0.01493031531572342,
-0.0819643884897232,
0.020336223766207695,
0.023291880264878273,
-0.06610050052404404,
-0.07602579891681671,
0.006014327052980661,
0.12124898284673691,
-0.07765746861696243,
0.048976533114910126,
0.08877845853567123,
-0.0311904139816761,
0.021630441769957542,
0.017060736194252968,
0.004438627511262894,
-0.0721609815955162,
0.020310521125793457,
0.0002945076848845929,
0.09072880446910858,
0.004239778965711594,
0.0619254931807518,
0.005418756976723671,
-0.02148156613111496,
-0.00454698596149683,
-0.04243514686822891,
0.0445164330303669,
0.00796984788030386,
0.0009750231401994824,
0.06814926862716675,
0.01584671624004841,
0.12670990824699402,
0.058869849890470505,
-0.04934564605355263,
-0.06580027937889099,
-0.013973300345242023,
0.03745003789663315,
0.05132286250591278,
0.03797848895192146,
-0.049182288348674774,
-0.003819278674200177,
0.016435209661722183,
-0.05415873974561691,
0.012920133769512177,
-0.04225737601518631,
0.012077556923031807,
-0.021011169999837875,
0.03188769146800041,
0.012562084943056107,
0.06624053418636322,
0.00048518492258153856,
0.0685073658823967,
-0.027502035722136497,
0.09228744357824326,
-0.014177512377500534,
0.024249063804745674,
0.0029814904555678368,
0.05496688187122345,
0.000048292211431544274,
0.03992209583520889,
0.05382809415459633,
0.004643293097615242,
-0.043185774236917496,
-0.07924823462963104,
-0.007876712828874588,
0.014613725244998932,
0.05317304655909538,
0.008385791443288326,
0.02341284230351448,
-4.6543537024490433e-8,
-0.042402949184179306,
-0.05978110432624817,
-0.10456907749176025,
-0.04404497519135475,
0.03594888001680374,
-0.04688527435064316,
0.05458251014351845,
0.15359176695346832,
-0.04999833554029465,
-0.010194373317062855,
0.07604086399078369,
-0.00644258689135313,
-0.11416979134082794,
0.043469734489917755,
-0.05259443446993828,
-0.08307521045207977,
-0.060882486402988434,
-0.01524675264954567,
0.011362109333276749,
0.03189277648925781,
-0.028691086918115616,
0.002023399341851473,
0.10145725309848785,
0.06592801213264465,
0.025835776701569557,
-0.06794244050979614,
0.02066054195165634,
0.055485378950834274,
-0.004710671491920948,
-0.005685549695044756,
0.05547579377889633,
0.01206341665238142,
0.15293611586093903,
0.06628768146038055,
0.0019296450773254037,
0.03006335161626339,
-0.055412743240594864,
0.05330442637205124,
-0.007826928980648518,
0.031379107385873795,
-0.012831670232117176,
0.09418632090091705,
-0.03602632135152817,
-0.04763740301132202,
0.10208858549594879,
-0.009044838137924671,
0.0013443029019981623,
-0.0023207662161439657,
-0.07328636199235916,
-0.07311946153640747,
-0.03197186440229416,
0.050965018570423126,
-0.09639636427164078,
0.005787225440144539,
-0.03619396686553955,
0.010962214320898056,
-0.0802326500415802,
-0.06690410524606705,
0.04292042553424835,
-0.00019006842921953648,
-0.009682855568826199,
0.06475429981946945,
-0.02289823442697525,
-0.07868972420692444
] |
1401.6497
|
Qibin Zhao Dr
|
Qibin Zhao, Liqing Zhang, and Andrzej Cichocki
|
Bayesian CP Factorization of Incomplete Tensors with Automatic Rank
Determination
| null | null |
10.1109/TPAMI.2015.2392756
| null |
cs.LG cs.CV stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
CANDECOMP/PARAFAC (CP) tensor factorization of incomplete data is a powerful
technique for tensor completion through explicitly capturing the multilinear
latent factors. The existing CP algorithms require the tensor rank to be
manually specified, however, the determination of tensor rank remains a
challenging problem especially for CP rank. In addition, existing approaches do
not take into account uncertainty information of latent factors, as well as
missing entries. To address these issues, we formulate CP factorization using a
hierarchical probabilistic model and employ a fully Bayesian treatment by
incorporating a sparsity-inducing prior over multiple latent factors and the
appropriate hyperpriors over all hyperparameters, resulting in automatic rank
determination. To learn the model, we develop an efficient deterministic
Bayesian inference algorithm, which scales linearly with data size. Our method
is characterized as a tuning parameter-free approach, which can effectively
infer underlying multilinear factors with a low-rank constraint, while also
providing predictive distributions over missing entries. Extensive simulations
on synthetic data illustrate the intrinsic capability of our method to recover
the ground-truth of CP rank and prevent the overfitting problem, even when a
large amount of entries are missing. Moreover, the results from real-world
applications, including image inpainting and facial image synthesis,
demonstrate that our method outperforms state-of-the-art approaches for both
tensor factorization and tensor completion in terms of predictive performance.
|
[
{
"created": "Sat, 25 Jan 2014 05:08:33 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Oct 2014 09:48:37 GMT",
"version": "v2"
}
] |
2015-01-22
|
[
[
"Zhao",
"Qibin",
""
],
[
"Zhang",
"Liqing",
""
],
[
"Cichocki",
"Andrzej",
""
]
] |
[
-0.0206320658326149,
-0.13549350202083588,
0.032798148691654205,
0.036200299859046936,
0.07870953530073166,
0.047590773552656174,
-0.02632443606853485,
-0.03477954491972923,
-0.06318251043558121,
-0.047345735132694244,
0.02463521808385849,
-0.02882911078631878,
0.011476382613182068,
0.060492563992738724,
-0.03918297588825226,
0.02521386370062828,
0.008156570605933666,
0.07195054739713669,
-0.026898501440882683,
-0.09638283401727676,
-0.040630463510751724,
0.057270828634500504,
0.0016438994789496064,
-0.041565269231796265,
0.062141530215740204,
-0.003142717992886901,
0.02543967217206955,
-0.024457497522234917,
-0.035667311400175095,
-0.01742306537926197,
-0.01821906305849552,
0.07782305777072906,
-0.027686452493071556,
-0.0553058423101902,
0.030088286846876144,
-0.009206880815327168,
-0.039841584861278534,
-0.04320921003818512,
-0.0074628787115216255,
0.08039859682321548,
0.04649234563112259,
0.029386168345808983,
-0.040829818695783615,
0.09487611800432205,
0.036027658730745316,
0.015631793066859245,
0.03131204843521118,
-0.05614142492413521,
0.07103849947452545,
0.06372290104627609,
-0.019827131181955338,
0.0063841575756669044,
-0.04766004532575607,
0.035080436617136,
-0.020798958837985992,
-0.05839065834879875,
0.0030936761759221554,
-0.06441962718963623,
-0.03949946537613869,
-0.059731241315603256,
-0.07370568066835403,
-0.038208696991205215,
-0.0020136903040111065,
-0.10264872014522552,
0.07877204567193985,
0.02901432104408741,
0.010308614000678062,
-0.01383270788937807,
-0.02253294736146927,
0.0823051705956459,
-0.04376852884888649,
-0.015535276383161545,
-0.0643984004855156,
0.10095976293087006,
-0.03606704622507095,
-0.009411390870809555,
-0.015038486570119858,
-0.03459989279508591,
0.00931350328028202,
0.01877773366868496,
0.01924128830432892,
-0.0001237531832884997,
-0.05686541646718979,
0.008949249051511288,
0.08044356852769852,
-0.050879355520009995,
0.07087887823581696,
0.024390704929828644,
0.04496538266539574,
0.024708649143576622,
0.023198764771223068,
-0.024199681356549263,
0.018933061510324478,
0.03530400991439819,
0.009984219446778297,
0.05980972573161125,
0.004778099711984396,
-0.029235154390335083,
-0.00435487087816,
0.042393047362565994,
-0.028446421027183533,
0.0019262123387306929,
0.003472315613180399,
-0.0014398613711819053,
-0.04631751403212547,
0.0016015426954254508,
-0.020038913935422897,
0.07640287280082703,
-0.003490209113806486,
-0.060034263879060745,
-0.01216417457908392,
0.01057727076113224,
0.027691902592778206,
0.03287842124700546,
0.039556317031383514,
0.007237792480736971,
0.08038974553346634,
-0.03829973191022873,
0.06663689762353897,
-0.02288123220205307,
0.03927072137594223,
0.01588188111782074,
0.09660913795232773,
0.011932456865906715,
-0.000056899272749433294,
0.10170657932758331,
-0.059776391834020615,
3.961818201744281e-33,
0.07189128547906876,
0.026280665770173073,
0.12461753189563751,
0.034848012030124664,
-0.04198735952377319,
0.04560306668281555,
0.027755264192819595,
-0.04243439435958862,
-0.03771824389696121,
0.0293448306620121,
-0.07482357323169708,
-0.013196681626141071,
-0.06876298040151596,
0.0028364623431116343,
-0.03598959371447563,
-0.029955267906188965,
0.009327942505478859,
0.033552322536706924,
-0.059772126376628876,
0.023795966058969498,
0.06562511622905731,
0.052002955228090286,
-0.04547974094748497,
-0.042811956256628036,
0.027225248515605927,
-0.03730081394314766,
0.03462090715765953,
-0.050214238464832306,
-0.04554784297943115,
-0.011482701636850834,
-0.10666336119174957,
-0.07081293314695358,
-0.031165195629000664,
0.038317739963531494,
-0.005401724949479103,
-0.05148860067129135,
0.0609113983809948,
-0.06827545911073685,
-0.007142375688999891,
-0.08932497352361679,
-0.019137244671583176,
-0.014062990434467793,
-0.02916080318391323,
-0.048012204468250275,
-0.14857570827007294,
-0.09723113477230072,
0.04054982215166092,
-0.031102357432246208,
-0.03574691712856293,
0.008032268844544888,
0.01809324510395527,
-0.027748117223381996,
0.06611503660678864,
-0.02873528003692627,
-0.08119350671768188,
-0.043556418269872665,
0.013739409856498241,
-0.023187505081295967,
-0.006902512162923813,
-0.06945884227752686,
-0.058509450405836105,
0.010440181940793991,
-0.022091249004006386,
0.018401023000478745,
-0.007630960550159216,
0.01245953980833292,
-0.026106761768460274,
0.05659065023064613,
0.06667031347751617,
0.00179144530557096,
-0.020010752603411674,
0.038859978318214417,
-0.023947063833475113,
-0.03638945147395134,
-0.008936354890465736,
0.006067891139537096,
0.044417839497327805,
-0.046667810529470444,
0.09180118143558502,
-0.05357413366436958,
-0.02467384561896324,
-0.013926795683801174,
0.08691288530826569,
-0.03660539910197258,
-0.04574786499142647,
-0.01199678797274828,
0.04638975113630295,
-0.0667031928896904,
-0.04776744171977043,
-0.08027186244726181,
-0.05088791623711586,
-0.011304163374006748,
0.03253231942653656,
-0.012572851963341236,
-0.014692996628582478,
-2.789519358846307e-33,
-0.010637547820806503,
-0.06394316256046295,
0.08658134192228317,
-0.0059321424923837185,
0.008612659759819508,
-0.08092744648456573,
-0.03942866250872612,
0.009355014190077782,
0.039966996759176254,
-0.08217443525791168,
-0.007129497826099396,
-0.04237150773406029,
0.09069328010082245,
-0.044356219470500946,
0.07899412512779236,
0.10539417713880539,
-0.0865856409072876,
0.06641406565904617,
-0.036155279725790024,
-0.04729904234409332,
-0.014026153832674026,
-0.018022311851382256,
0.002801349852234125,
0.06512100249528885,
-0.08262121677398682,
0.057159215211868286,
0.043711937963962555,
0.0003344607539474964,
-0.011421959847211838,
-0.04464411363005638,
-0.0019170194864273071,
0.0018317344365641475,
-0.013609352521598339,
0.011296733282506466,
-0.036579590290784836,
0.03726421669125557,
0.03683610260486603,
0.01763211563229561,
-0.04368051514029503,
0.051118914037942886,
0.009347247891128063,
0.07507431507110596,
-0.09995277225971222,
-0.018943732604384422,
0.00491346837952733,
-0.018798528239130974,
-0.026805412024259567,
-0.003007428953424096,
0.06637450307607651,
0.009410016238689423,
-0.06634972244501114,
0.05756378546357155,
0.026709966361522675,
0.060062475502491,
-0.055630654096603394,
0.015568415634334087,
-0.01929694041609764,
-0.006904144771397114,
0.0882466658949852,
0.01317411009222269,
0.031058384105563164,
-0.029103821143507957,
0.03876253589987755,
-0.08015186339616776,
-0.001980137312784791,
-0.055719707161188126,
0.003690421348437667,
0.019944004714488983,
-0.006541938055306673,
0.008090553805232048,
-0.001030091429129243,
0.046178992837667465,
-0.03228466212749481,
0.04164750128984451,
0.0021822741255164146,
0.014973564073443413,
0.07537242025136948,
0.07465309649705887,
0.03094378113746643,
-0.030788281932473183,
0.11624236404895782,
-0.028297487646341324,
-0.02068389393389225,
0.05763939023017883,
0.029300987720489502,
0.12108169496059418,
0.1024741604924202,
0.036916159093379974,
0.09783925861120224,
-0.022054379805922508,
-0.05964948236942291,
-0.009616859257221222,
-0.017436614260077477,
0.0945492759346962,
-0.027734892442822456,
-4.02887749828551e-8,
-0.06163237243890762,
0.08508526533842087,
-0.03696049377322197,
0.00998099148273468,
-0.004461696837097406,
0.002827029675245285,
0.025266798213124275,
0.047860559076070786,
0.04841194301843643,
-0.03262873739004135,
0.06918010860681534,
-0.0680794045329094,
-0.07896841317415237,
-0.03395194187760353,
0.06822746992111206,
0.07551669329404831,
0.015216327272355556,
0.060904525220394135,
-0.01432078704237938,
0.0484907403588295,
0.057250261306762695,
0.04960481449961662,
0.016164647415280342,
0.06155933812260628,
0.07335690408945084,
-0.017489800229668617,
0.011597433127462864,
0.15015916526317596,
0.07884210348129272,
0.04303155839443207,
-0.009122610092163086,
-0.06311137974262238,
0.007062393240630627,
-0.07147132605314255,
-0.018891965970396996,
0.12004798650741577,
0.12341427057981491,
-0.09415582567453384,
-0.09330044686794281,
-0.05577785521745682,
-0.07713062316179276,
0.022353054955601692,
-0.057829052209854126,
0.01254226453602314,
0.07179447263479233,
-0.0032869339920580387,
-0.023549843579530716,
-0.058318063616752625,
0.06865675002336502,
0.01610417105257511,
0.04108767956495285,
-0.058136358857154846,
-0.024799060076475143,
0.06828327476978302,
-0.011470284312963486,
0.07776288688182831,
0.008826037868857384,
0.11178126931190491,
0.02221951074898243,
-0.11384791135787964,
0.07633781433105469,
-0.03825070336461067,
-0.048006363213062286,
0.1049543246626854
] |
Bayesian CP Factorization of Incomplete Tensors with Automatic Rank Determination
|
http://arxiv.org/abs/1401.6497v2
|
http://arxiv.org/pdf/1401.6497v2.pdf
|
https://github.com/zhaoxile/reproducible-tensor-completion-state-of-the-art
| false | false |
https://paperswithcode.com/paper/bayesian-cp-factorization-of-incomplete
|
[
-0.0206320658326149,
-0.13549350202083588,
0.032798148691654205,
0.036200299859046936,
0.07870953530073166,
0.047590773552656174,
-0.02632443606853485,
-0.03477954491972923,
-0.06318251043558121,
-0.047345735132694244,
0.02463521808385849,
-0.02882911078631878,
0.011476382613182068,
0.060492563992738724,
-0.03918297588825226,
0.02521386370062828,
0.008156570605933666,
0.07195054739713669,
-0.026898501440882683,
-0.09638283401727676,
-0.040630463510751724,
0.057270828634500504,
0.0016438994789496064,
-0.041565269231796265,
0.062141530215740204,
-0.003142717992886901,
0.02543967217206955,
-0.024457497522234917,
-0.035667311400175095,
-0.01742306537926197,
-0.01821906305849552,
0.07782305777072906,
-0.027686452493071556,
-0.0553058423101902,
0.030088286846876144,
-0.009206880815327168,
-0.039841584861278534,
-0.04320921003818512,
-0.0074628787115216255,
0.08039859682321548,
0.04649234563112259,
0.029386168345808983,
-0.040829818695783615,
0.09487611800432205,
0.036027658730745316,
0.015631793066859245,
0.03131204843521118,
-0.05614142492413521,
0.07103849947452545,
0.06372290104627609,
-0.019827131181955338,
0.0063841575756669044,
-0.04766004532575607,
0.035080436617136,
-0.020798958837985992,
-0.05839065834879875,
0.0030936761759221554,
-0.06441962718963623,
-0.03949946537613869,
-0.059731241315603256,
-0.07370568066835403,
-0.038208696991205215,
-0.0020136903040111065,
-0.10264872014522552,
0.07877204567193985,
0.02901432104408741,
0.010308614000678062,
-0.01383270788937807,
-0.02253294736146927,
0.0823051705956459,
-0.04376852884888649,
-0.015535276383161545,
-0.0643984004855156,
0.10095976293087006,
-0.03606704622507095,
-0.009411390870809555,
-0.015038486570119858,
-0.03459989279508591,
0.00931350328028202,
0.01877773366868496,
0.01924128830432892,
-0.0001237531832884997,
-0.05686541646718979,
0.008949249051511288,
0.08044356852769852,
-0.050879355520009995,
0.07087887823581696,
0.024390704929828644,
0.04496538266539574,
0.024708649143576622,
0.023198764771223068,
-0.024199681356549263,
0.018933061510324478,
0.03530400991439819,
0.009984219446778297,
0.05980972573161125,
0.004778099711984396,
-0.029235154390335083,
-0.00435487087816,
0.042393047362565994,
-0.028446421027183533,
0.0019262123387306929,
0.003472315613180399,
-0.0014398613711819053,
-0.04631751403212547,
0.0016015426954254508,
-0.020038913935422897,
0.07640287280082703,
-0.003490209113806486,
-0.060034263879060745,
-0.01216417457908392,
0.01057727076113224,
0.027691902592778206,
0.03287842124700546,
0.039556317031383514,
0.007237792480736971,
0.08038974553346634,
-0.03829973191022873,
0.06663689762353897,
-0.02288123220205307,
0.03927072137594223,
0.01588188111782074,
0.09660913795232773,
0.011932456865906715,
-0.000056899272749433294,
0.10170657932758331,
-0.059776391834020615,
3.961818201744281e-33,
0.07189128547906876,
0.026280665770173073,
0.12461753189563751,
0.034848012030124664,
-0.04198735952377319,
0.04560306668281555,
0.027755264192819595,
-0.04243439435958862,
-0.03771824389696121,
0.0293448306620121,
-0.07482357323169708,
-0.013196681626141071,
-0.06876298040151596,
0.0028364623431116343,
-0.03598959371447563,
-0.029955267906188965,
0.009327942505478859,
0.033552322536706924,
-0.059772126376628876,
0.023795966058969498,
0.06562511622905731,
0.052002955228090286,
-0.04547974094748497,
-0.042811956256628036,
0.027225248515605927,
-0.03730081394314766,
0.03462090715765953,
-0.050214238464832306,
-0.04554784297943115,
-0.011482701636850834,
-0.10666336119174957,
-0.07081293314695358,
-0.031165195629000664,
0.038317739963531494,
-0.005401724949479103,
-0.05148860067129135,
0.0609113983809948,
-0.06827545911073685,
-0.007142375688999891,
-0.08932497352361679,
-0.019137244671583176,
-0.014062990434467793,
-0.02916080318391323,
-0.048012204468250275,
-0.14857570827007294,
-0.09723113477230072,
0.04054982215166092,
-0.031102357432246208,
-0.03574691712856293,
0.008032268844544888,
0.01809324510395527,
-0.027748117223381996,
0.06611503660678864,
-0.02873528003692627,
-0.08119350671768188,
-0.043556418269872665,
0.013739409856498241,
-0.023187505081295967,
-0.006902512162923813,
-0.06945884227752686,
-0.058509450405836105,
0.010440181940793991,
-0.022091249004006386,
0.018401023000478745,
-0.007630960550159216,
0.01245953980833292,
-0.026106761768460274,
0.05659065023064613,
0.06667031347751617,
0.00179144530557096,
-0.020010752603411674,
0.038859978318214417,
-0.023947063833475113,
-0.03638945147395134,
-0.008936354890465736,
0.006067891139537096,
0.044417839497327805,
-0.046667810529470444,
0.09180118143558502,
-0.05357413366436958,
-0.02467384561896324,
-0.013926795683801174,
0.08691288530826569,
-0.03660539910197258,
-0.04574786499142647,
-0.01199678797274828,
0.04638975113630295,
-0.0667031928896904,
-0.04776744171977043,
-0.08027186244726181,
-0.05088791623711586,
-0.011304163374006748,
0.03253231942653656,
-0.012572851963341236,
-0.014692996628582478,
-2.789519358846307e-33,
-0.010637547820806503,
-0.06394316256046295,
0.08658134192228317,
-0.0059321424923837185,
0.008612659759819508,
-0.08092744648456573,
-0.03942866250872612,
0.009355014190077782,
0.039966996759176254,
-0.08217443525791168,
-0.007129497826099396,
-0.04237150773406029,
0.09069328010082245,
-0.044356219470500946,
0.07899412512779236,
0.10539417713880539,
-0.0865856409072876,
0.06641406565904617,
-0.036155279725790024,
-0.04729904234409332,
-0.014026153832674026,
-0.018022311851382256,
0.002801349852234125,
0.06512100249528885,
-0.08262121677398682,
0.057159215211868286,
0.043711937963962555,
0.0003344607539474964,
-0.011421959847211838,
-0.04464411363005638,
-0.0019170194864273071,
0.0018317344365641475,
-0.013609352521598339,
0.011296733282506466,
-0.036579590290784836,
0.03726421669125557,
0.03683610260486603,
0.01763211563229561,
-0.04368051514029503,
0.051118914037942886,
0.009347247891128063,
0.07507431507110596,
-0.09995277225971222,
-0.018943732604384422,
0.00491346837952733,
-0.018798528239130974,
-0.026805412024259567,
-0.003007428953424096,
0.06637450307607651,
0.009410016238689423,
-0.06634972244501114,
0.05756378546357155,
0.026709966361522675,
0.060062475502491,
-0.055630654096603394,
0.015568415634334087,
-0.01929694041609764,
-0.006904144771397114,
0.0882466658949852,
0.01317411009222269,
0.031058384105563164,
-0.029103821143507957,
0.03876253589987755,
-0.08015186339616776,
-0.001980137312784791,
-0.055719707161188126,
0.003690421348437667,
0.019944004714488983,
-0.006541938055306673,
0.008090553805232048,
-0.001030091429129243,
0.046178992837667465,
-0.03228466212749481,
0.04164750128984451,
0.0021822741255164146,
0.014973564073443413,
0.07537242025136948,
0.07465309649705887,
0.03094378113746643,
-0.030788281932473183,
0.11624236404895782,
-0.028297487646341324,
-0.02068389393389225,
0.05763939023017883,
0.029300987720489502,
0.12108169496059418,
0.1024741604924202,
0.036916159093379974,
0.09783925861120224,
-0.022054379805922508,
-0.05964948236942291,
-0.009616859257221222,
-0.017436614260077477,
0.0945492759346962,
-0.027734892442822456,
-4.02887749828551e-8,
-0.06163237243890762,
0.08508526533842087,
-0.03696049377322197,
0.00998099148273468,
-0.004461696837097406,
0.002827029675245285,
0.025266798213124275,
0.047860559076070786,
0.04841194301843643,
-0.03262873739004135,
0.06918010860681534,
-0.0680794045329094,
-0.07896841317415237,
-0.03395194187760353,
0.06822746992111206,
0.07551669329404831,
0.015216327272355556,
0.060904525220394135,
-0.01432078704237938,
0.0484907403588295,
0.057250261306762695,
0.04960481449961662,
0.016164647415280342,
0.06155933812260628,
0.07335690408945084,
-0.017489800229668617,
0.011597433127462864,
0.15015916526317596,
0.07884210348129272,
0.04303155839443207,
-0.009122610092163086,
-0.06311137974262238,
0.007062393240630627,
-0.07147132605314255,
-0.018891965970396996,
0.12004798650741577,
0.12341427057981491,
-0.09415582567453384,
-0.09330044686794281,
-0.05577785521745682,
-0.07713062316179276,
0.022353054955601692,
-0.057829052209854126,
0.01254226453602314,
0.07179447263479233,
-0.0032869339920580387,
-0.023549843579530716,
-0.058318063616752625,
0.06865675002336502,
0.01610417105257511,
0.04108767956495285,
-0.058136358857154846,
-0.024799060076475143,
0.06828327476978302,
-0.011470284312963486,
0.07776288688182831,
0.008826037868857384,
0.11178126931190491,
0.02221951074898243,
-0.11384791135787964,
0.07633781433105469,
-0.03825070336461067,
-0.048006363213062286,
0.1049543246626854
] |
1401.6498
|
Parham Noorzad
|
Parham Noorzad, Michelle Effros, Michael Langberg, Tracey Ho
|
On the Power of Cooperation: Can a Little Help a Lot? (Extended Version)
|
Extended version of a paper submitted to ISIT 2014 (10 pages, 3
figures)
| null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we propose a new cooperation model for discrete memoryless
multiple access channels. Unlike in prior cooperation models (e.g.,
conferencing encoders), where the transmitters cooperate directly, in this
model the transmitters cooperate through a larger network. We show that under
this indirect cooperation model, there exist channels for which the increase in
sum-capacity resulting from cooperation is significantly larger than the rate
shared by the transmitters to establish the cooperation. This result contrasts
both with results on the benefit of cooperation under prior models and results
in the network coding literature, where attempts to find examples in which
similar small network modifications yield large capacity benefits have to date
been unsuccessful.
|
[
{
"created": "Sat, 25 Jan 2014 05:20:03 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Apr 2014 19:49:48 GMT",
"version": "v2"
}
] |
2014-04-29
|
[
[
"Noorzad",
"Parham",
""
],
[
"Effros",
"Michelle",
""
],
[
"Langberg",
"Michael",
""
],
[
"Ho",
"Tracey",
""
]
] |
[
0.10042564570903778,
-0.05208470672369003,
-0.0649828389286995,
0.012576295994222164,
-0.037019263952970505,
0.061235710978507996,
-0.026722371578216553,
-0.0823388546705246,
0.03971259668469429,
0.04803885146975517,
-0.0034121640492230654,
0.12998075783252716,
0.06990166008472443,
-0.04638131707906723,
0.011020243167877197,
-0.0036787698045372963,
0.07087354362010956,
-0.04880446568131447,
-0.023341532796621323,
-0.04090610891580582,
0.04475704953074455,
-0.07889752835035324,
0.04934513941407204,
0.012873790226876736,
0.06288408488035202,
-0.045720674097537994,
-0.017313295975327492,
-0.013643503189086914,
0.061388857662677765,
-0.04143240675330162,
0.005101359449326992,
0.002764864591881633,
0.05853116884827614,
0.016300169751048088,
0.0015411811182275414,
-0.041074663400650024,
-0.024457158520817757,
0.018409935757517815,
-0.01929759606719017,
0.07647484540939331,
-0.070653036236763,
0.06460278481245041,
-0.039236634969711304,
0.05941544473171234,
-0.018425658345222473,
-0.018106406554579735,
0.02198166772723198,
-0.013246208429336548,
-0.03780539706349373,
-0.08405210077762604,
0.09863465279340744,
0.08148453384637833,
-0.02948138862848282,
0.045428041368722916,
0.05398518219590187,
-0.08379935473203659,
-0.09562893211841583,
-0.028001058846712112,
-0.10271816700696945,
0.026317132636904716,
-0.020748810842633247,
0.011358863674104214,
0.008580227382481098,
0.0012108879163861275,
-0.02888972871005535,
0.012188293039798737,
0.045857761055231094,
0.13872560858726501,
-0.11092564463615417,
-0.004792423453181982,
0.001422493951395154,
-0.06341665983200073,
-0.011381524614989758,
-0.00773644121363759,
0.09476101398468018,
-0.028935076668858528,
0.0571407787501812,
0.04468511417508125,
0.09075399488210678,
-0.027265960350632668,
-0.015228954143822193,
0.0718870535492897,
-0.05242780223488808,
-0.012178121134638786,
0.02469012141227722,
-0.05446022376418114,
-0.005800008773803711,
0.013587652705609798,
0.020640963688492775,
-0.05849860981106758,
-0.10086318850517273,
0.0803249180316925,
-0.025975191965699196,
0.02604781836271286,
-0.05814172700047493,
-0.011653631925582886,
-0.007406015880405903,
0.0036705355159938335,
-0.07386399060487747,
0.030993852764368057,
0.007059182971715927,
0.021991653367877007,
0.03498922660946846,
-0.08802175521850586,
0.0311762522906065,
0.02549310401082039,
0.1004466786980629,
0.08932091295719147,
0.07025182247161865,
0.04799242690205574,
-0.03860452398657799,
0.015840906649827957,
-0.04498685896396637,
0.008340504951775074,
-0.07930192351341248,
0.02902974560856819,
0.03922271355986595,
0.013160604052245617,
0.048563357442617416,
-0.039399053901433945,
0.01470733992755413,
-0.12039690464735031,
0.04646529629826546,
0.04430786147713661,
-0.05526381731033325,
0.030497685074806213,
-0.03630775213241577,
-1.0117282431210689e-33,
-0.017274685204029083,
-0.004564153496176004,
-0.09658944606781006,
0.013969184830784798,
0.08587060123682022,
0.009160414338111877,
0.011818673461675644,
0.007138179615139961,
-0.06824663281440735,
-0.03802512586116791,
-0.049929503351449966,
0.02207695133984089,
0.012253561057150364,
0.04101768508553505,
0.062629833817482,
0.0007367520593106747,
-0.08078491687774658,
0.005275574978441,
0.10269350558519363,
-0.05865992605686188,
0.01035576593130827,
0.010795379057526588,
-0.02029367908835411,
0.010820440016686916,
0.012339419685304165,
-0.06683648377656937,
-0.04650149866938591,
-0.05025335028767586,
0.04970113933086395,
-0.0002630016242619604,
-0.00625710841268301,
0.028979625552892685,
-0.003916505724191666,
-0.06881585717201233,
-0.0090628145262599,
0.0359860360622406,
0.025173325091600418,
-0.038964107632637024,
-0.009688565507531166,
-0.045075517147779465,
0.004557830281555653,
-0.04091353714466095,
-0.07754433155059814,
-0.1192181408405304,
-0.061795856803655624,
-0.10404185205698013,
0.01141608040779829,
0.010508542880415916,
-0.13068468868732452,
0.03349706530570984,
0.023401454091072083,
0.04858451709151268,
-0.1038634404540062,
-0.011445600539445877,
0.040480077266693115,
0.0020144986920058727,
-0.03714332729578018,
0.04105840623378754,
0.012490227818489075,
0.07044907659292221,
-0.05776238441467285,
0.005867726169526577,
0.0313689224421978,
0.01862715184688568,
0.11700765043497086,
0.04493451490998268,
-0.040631383657455444,
0.02214116044342518,
0.07227765768766403,
-0.0786755234003067,
-0.01911774091422558,
0.011034933850169182,
-0.06776827573776245,
-0.07693815231323242,
-0.025479856878519058,
-0.003723788307979703,
0.02454780973494053,
-0.054689258337020874,
-0.004161342512816191,
0.07910610735416412,
0.0015697464114055037,
-0.04015752300620079,
0.006774273235350847,
0.09601132571697235,
-0.01997828297317028,
0.09224844723939896,
0.04537998512387276,
0.012265410274267197,
-0.05069198086857796,
0.10432693362236023,
0.012983126565814018,
0.0026476497296243906,
0.024291321635246277,
-0.017429471015930176,
0.09639181941747665,
-1.590197921203844e-33,
-0.039300523698329926,
0.10520187765359879,
0.02060282789170742,
-0.03368760645389557,
-0.017547694966197014,
-0.05841479077935219,
0.007840421982109547,
-0.05216529592871666,
-0.020462116226553917,
0.011349339969456196,
0.028553934767842293,
-0.06594645231962204,
0.0459635965526104,
0.019972218200564384,
0.040591489523649216,
-0.0720108300447464,
-0.03452007845044136,
0.013176826760172844,
0.03960030525922775,
0.0272646714001894,
0.03207024186849594,
0.07430796325206757,
0.02796071767807007,
-0.08195818960666656,
0.003977951128035784,
0.06396561861038208,
-0.06773339956998825,
0.061076439917087555,
0.02552170120179653,
-0.01608963869512081,
0.0298153068870306,
-0.04685666784644127,
0.0012105328496545553,
-0.030833184719085693,
0.011788124218583107,
0.07343656569719315,
0.020254015922546387,
0.1028030514717102,
-0.06006608158349991,
-0.010027213953435421,
0.04596327617764473,
-0.05177522823214531,
-0.014968263916671276,
0.03066958859562874,
0.07070572674274445,
-0.06489752233028412,
-0.026006270200014114,
-0.03471151366829872,
0.004226938355714083,
-0.004174527246505022,
0.043689630925655365,
-0.016662679612636566,
-0.028937263414263725,
-0.0428311750292778,
-0.0584091953933239,
0.003478039288893342,
0.008065113797783852,
0.06076602637767792,
0.12862864136695862,
-0.03539507836103439,
0.0011168137425556779,
-0.07311228662729263,
-0.05490390583872795,
0.028795437887310982,
0.0015873670345172286,
-0.05318760499358177,
0.0703437551856041,
0.013370824046432972,
0.04624024033546448,
-0.005914673209190369,
0.047689929604530334,
0.06569499522447586,
-0.009486140683293343,
0.012182322330772877,
0.0763477012515068,
0.10193715244531631,
-0.0551246739923954,
0.019832691177725792,
-0.06544699519872665,
0.010956628248095512,
-0.09926526248455048,
0.13694517314434052,
-0.034400928765535355,
-0.02758779376745224,
-0.00291830045171082,
0.017629679292440414,
0.060812097042798996,
-0.008763679303228855,
-0.06406504660844803,
-0.045886315405368805,
-0.030233800411224365,
0.027286510914564133,
0.05595748499035835,
0.014953947626054287,
-0.038122400641441345,
-4.8043670375363945e-8,
-0.031892746686935425,
-0.0475531667470932,
-0.023337556049227715,
-0.04786018282175064,
0.056439995765686035,
-0.06643060594797134,
-0.04579468443989754,
-0.022784247994422913,
0.020527197048068047,
0.06024317443370819,
0.060538750141859055,
0.07029225677251816,
-0.031544800847768784,
0.03401036933064461,
0.02065746858716011,
0.08901070803403854,
-0.011528206057846546,
-0.1394829899072647,
0.0012802169658243656,
0.01249837875366211,
-0.09263370931148529,
-0.049782644957304,
-0.04349676892161369,
0.09705007076263428,
-0.014752017334103584,
-0.015309273265302181,
0.053631771355867386,
0.04274897277355194,
-0.006558320950716734,
0.021993080154061317,
0.011449976824223995,
0.0526716522872448,
-0.01812289096415043,
0.019980736076831818,
-0.017374759539961815,
-0.04428771883249283,
0.013105631805956364,
-0.01480341050773859,
-0.042277198284864426,
-0.043612848967313766,
-0.018310997635126114,
-0.02442212589085102,
-0.019875597208738327,
0.015438400208950043,
0.01171469409018755,
0.008929459378123283,
-0.04103199020028114,
-0.05619318038225174,
-0.07620733231306076,
-0.025203458964824677,
0.008380666375160217,
0.043526582419872284,
-0.04082107916474342,
-0.009602430276572704,
-0.010586213320493698,
-0.03809109702706337,
0.04053738713264465,
-0.06056232750415802,
0.03521808981895447,
-0.012691047973930836,
-0.030429109930992126,
0.10577446967363358,
-0.10345607250928879,
-0.02817179262638092
] | null | null | null | null | null | null | null |
[
0.10042564570903778,
-0.05208470672369003,
-0.0649828389286995,
0.012576295994222164,
-0.037019263952970505,
0.061235710978507996,
-0.026722371578216553,
-0.0823388546705246,
0.03971259668469429,
0.04803885146975517,
-0.0034121640492230654,
0.12998075783252716,
0.06990166008472443,
-0.04638131707906723,
0.011020243167877197,
-0.0036787698045372963,
0.07087354362010956,
-0.04880446568131447,
-0.023341532796621323,
-0.04090610891580582,
0.04475704953074455,
-0.07889752835035324,
0.04934513941407204,
0.012873790226876736,
0.06288408488035202,
-0.045720674097537994,
-0.017313295975327492,
-0.013643503189086914,
0.061388857662677765,
-0.04143240675330162,
0.005101359449326992,
0.002764864591881633,
0.05853116884827614,
0.016300169751048088,
0.0015411811182275414,
-0.041074663400650024,
-0.024457158520817757,
0.018409935757517815,
-0.01929759606719017,
0.07647484540939331,
-0.070653036236763,
0.06460278481245041,
-0.039236634969711304,
0.05941544473171234,
-0.018425658345222473,
-0.018106406554579735,
0.02198166772723198,
-0.013246208429336548,
-0.03780539706349373,
-0.08405210077762604,
0.09863465279340744,
0.08148453384637833,
-0.02948138862848282,
0.045428041368722916,
0.05398518219590187,
-0.08379935473203659,
-0.09562893211841583,
-0.028001058846712112,
-0.10271816700696945,
0.026317132636904716,
-0.020748810842633247,
0.011358863674104214,
0.008580227382481098,
0.0012108879163861275,
-0.02888972871005535,
0.012188293039798737,
0.045857761055231094,
0.13872560858726501,
-0.11092564463615417,
-0.004792423453181982,
0.001422493951395154,
-0.06341665983200073,
-0.011381524614989758,
-0.00773644121363759,
0.09476101398468018,
-0.028935076668858528,
0.0571407787501812,
0.04468511417508125,
0.09075399488210678,
-0.027265960350632668,
-0.015228954143822193,
0.0718870535492897,
-0.05242780223488808,
-0.012178121134638786,
0.02469012141227722,
-0.05446022376418114,
-0.005800008773803711,
0.013587652705609798,
0.020640963688492775,
-0.05849860981106758,
-0.10086318850517273,
0.0803249180316925,
-0.025975191965699196,
0.02604781836271286,
-0.05814172700047493,
-0.011653631925582886,
-0.007406015880405903,
0.0036705355159938335,
-0.07386399060487747,
0.030993852764368057,
0.007059182971715927,
0.021991653367877007,
0.03498922660946846,
-0.08802175521850586,
0.0311762522906065,
0.02549310401082039,
0.1004466786980629,
0.08932091295719147,
0.07025182247161865,
0.04799242690205574,
-0.03860452398657799,
0.015840906649827957,
-0.04498685896396637,
0.008340504951775074,
-0.07930192351341248,
0.02902974560856819,
0.03922271355986595,
0.013160604052245617,
0.048563357442617416,
-0.039399053901433945,
0.01470733992755413,
-0.12039690464735031,
0.04646529629826546,
0.04430786147713661,
-0.05526381731033325,
0.030497685074806213,
-0.03630775213241577,
-1.0117282431210689e-33,
-0.017274685204029083,
-0.004564153496176004,
-0.09658944606781006,
0.013969184830784798,
0.08587060123682022,
0.009160414338111877,
0.011818673461675644,
0.007138179615139961,
-0.06824663281440735,
-0.03802512586116791,
-0.049929503351449966,
0.02207695133984089,
0.012253561057150364,
0.04101768508553505,
0.062629833817482,
0.0007367520593106747,
-0.08078491687774658,
0.005275574978441,
0.10269350558519363,
-0.05865992605686188,
0.01035576593130827,
0.010795379057526588,
-0.02029367908835411,
0.010820440016686916,
0.012339419685304165,
-0.06683648377656937,
-0.04650149866938591,
-0.05025335028767586,
0.04970113933086395,
-0.0002630016242619604,
-0.00625710841268301,
0.028979625552892685,
-0.003916505724191666,
-0.06881585717201233,
-0.0090628145262599,
0.0359860360622406,
0.025173325091600418,
-0.038964107632637024,
-0.009688565507531166,
-0.045075517147779465,
0.004557830281555653,
-0.04091353714466095,
-0.07754433155059814,
-0.1192181408405304,
-0.061795856803655624,
-0.10404185205698013,
0.01141608040779829,
0.010508542880415916,
-0.13068468868732452,
0.03349706530570984,
0.023401454091072083,
0.04858451709151268,
-0.1038634404540062,
-0.011445600539445877,
0.040480077266693115,
0.0020144986920058727,
-0.03714332729578018,
0.04105840623378754,
0.012490227818489075,
0.07044907659292221,
-0.05776238441467285,
0.005867726169526577,
0.0313689224421978,
0.01862715184688568,
0.11700765043497086,
0.04493451490998268,
-0.040631383657455444,
0.02214116044342518,
0.07227765768766403,
-0.0786755234003067,
-0.01911774091422558,
0.011034933850169182,
-0.06776827573776245,
-0.07693815231323242,
-0.025479856878519058,
-0.003723788307979703,
0.02454780973494053,
-0.054689258337020874,
-0.004161342512816191,
0.07910610735416412,
0.0015697464114055037,
-0.04015752300620079,
0.006774273235350847,
0.09601132571697235,
-0.01997828297317028,
0.09224844723939896,
0.04537998512387276,
0.012265410274267197,
-0.05069198086857796,
0.10432693362236023,
0.012983126565814018,
0.0026476497296243906,
0.024291321635246277,
-0.017429471015930176,
0.09639181941747665,
-1.590197921203844e-33,
-0.039300523698329926,
0.10520187765359879,
0.02060282789170742,
-0.03368760645389557,
-0.017547694966197014,
-0.05841479077935219,
0.007840421982109547,
-0.05216529592871666,
-0.020462116226553917,
0.011349339969456196,
0.028553934767842293,
-0.06594645231962204,
0.0459635965526104,
0.019972218200564384,
0.040591489523649216,
-0.0720108300447464,
-0.03452007845044136,
0.013176826760172844,
0.03960030525922775,
0.0272646714001894,
0.03207024186849594,
0.07430796325206757,
0.02796071767807007,
-0.08195818960666656,
0.003977951128035784,
0.06396561861038208,
-0.06773339956998825,
0.061076439917087555,
0.02552170120179653,
-0.01608963869512081,
0.0298153068870306,
-0.04685666784644127,
0.0012105328496545553,
-0.030833184719085693,
0.011788124218583107,
0.07343656569719315,
0.020254015922546387,
0.1028030514717102,
-0.06006608158349991,
-0.010027213953435421,
0.04596327617764473,
-0.05177522823214531,
-0.014968263916671276,
0.03066958859562874,
0.07070572674274445,
-0.06489752233028412,
-0.026006270200014114,
-0.03471151366829872,
0.004226938355714083,
-0.004174527246505022,
0.043689630925655365,
-0.016662679612636566,
-0.028937263414263725,
-0.0428311750292778,
-0.0584091953933239,
0.003478039288893342,
0.008065113797783852,
0.06076602637767792,
0.12862864136695862,
-0.03539507836103439,
0.0011168137425556779,
-0.07311228662729263,
-0.05490390583872795,
0.028795437887310982,
0.0015873670345172286,
-0.05318760499358177,
0.0703437551856041,
0.013370824046432972,
0.04624024033546448,
-0.005914673209190369,
0.047689929604530334,
0.06569499522447586,
-0.009486140683293343,
0.012182322330772877,
0.0763477012515068,
0.10193715244531631,
-0.0551246739923954,
0.019832691177725792,
-0.06544699519872665,
0.010956628248095512,
-0.09926526248455048,
0.13694517314434052,
-0.034400928765535355,
-0.02758779376745224,
-0.00291830045171082,
0.017629679292440414,
0.060812097042798996,
-0.008763679303228855,
-0.06406504660844803,
-0.045886315405368805,
-0.030233800411224365,
0.027286510914564133,
0.05595748499035835,
0.014953947626054287,
-0.038122400641441345,
-4.8043670375363945e-8,
-0.031892746686935425,
-0.0475531667470932,
-0.023337556049227715,
-0.04786018282175064,
0.056439995765686035,
-0.06643060594797134,
-0.04579468443989754,
-0.022784247994422913,
0.020527197048068047,
0.06024317443370819,
0.060538750141859055,
0.07029225677251816,
-0.031544800847768784,
0.03401036933064461,
0.02065746858716011,
0.08901070803403854,
-0.011528206057846546,
-0.1394829899072647,
0.0012802169658243656,
0.01249837875366211,
-0.09263370931148529,
-0.049782644957304,
-0.04349676892161369,
0.09705007076263428,
-0.014752017334103584,
-0.015309273265302181,
0.053631771355867386,
0.04274897277355194,
-0.006558320950716734,
0.021993080154061317,
0.011449976824223995,
0.0526716522872448,
-0.01812289096415043,
0.019980736076831818,
-0.017374759539961815,
-0.04428771883249283,
0.013105631805956364,
-0.01480341050773859,
-0.042277198284864426,
-0.043612848967313766,
-0.018310997635126114,
-0.02442212589085102,
-0.019875597208738327,
0.015438400208950043,
0.01171469409018755,
0.008929459378123283,
-0.04103199020028114,
-0.05619318038225174,
-0.07620733231306076,
-0.025203458964824677,
0.008380666375160217,
0.043526582419872284,
-0.04082107916474342,
-0.009602430276572704,
-0.010586213320493698,
-0.03809109702706337,
0.04053738713264465,
-0.06056232750415802,
0.03521808981895447,
-0.012691047973930836,
-0.030429109930992126,
0.10577446967363358,
-0.10345607250928879,
-0.02817179262638092
] |
1401.6499
|
Sanjay Vishwakarma
|
Sanjay Vishwakarma and A. Chockalingam
|
Transmitter Optimization in MISO Broadcast Channel with Common and
Secret Messages
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we consider transmitter optimization in multiple-input
single-output (MISO) broadcast channel with common and secret messages. The
secret message is intended for $K$ users and it is transmitted with perfect
secrecy with respect to $J$ eavesdroppers which are also assumed to be
legitimate users in the network. The common message is transmitted at a fixed
rate $R_{0}$ and it is intended for all $K$ users and $J$ eavesdroppers. The
source operates under a total power constraint. It also injects artificial
noise to improve the secrecy rate. We obtain the optimum covariance matrices
associated with the common message, secret message, and artificial noise, which
maximize the achievable secrecy rate and simultaneously meet the fixed rate
$R_{0}$ for the common message.
|
[
{
"created": "Sat, 25 Jan 2014 05:24:12 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Vishwakarma",
"Sanjay",
""
],
[
"Chockalingam",
"A.",
""
]
] |
[
0.0555340014398098,
-0.009522572159767151,
-0.03375880420207977,
-0.014922046102583408,
-0.011483410373330116,
0.009647511877119541,
0.1146390289068222,
-0.07963669300079346,
0.01234333124011755,
0.0295251552015543,
0.05266939103603363,
0.032855384051799774,
0.09598643332719803,
-0.003557453164830804,
-0.026227571070194244,
0.01972365193068981,
0.10476240515708923,
0.018176328390836716,
-0.0380258746445179,
-0.012119809165596962,
0.048864491283893585,
-0.03531128168106079,
0.007518279831856489,
0.01032224576920271,
0.0323699526488781,
-0.13997545838356018,
0.08732851594686508,
0.028775833547115326,
-0.06912512332201004,
-0.006957745645195246,
0.034804150462150574,
0.0010971424635499716,
0.14060136675834656,
-0.03343154862523079,
-0.025221360847353935,
-0.026131566613912582,
0.03344329446554184,
-0.02228878065943718,
0.05693789944052696,
0.12419924139976501,
-0.06287308782339096,
0.05113861337304115,
-0.05168967321515083,
0.05390818044543266,
-0.09947020560503006,
-0.014821529388427734,
0.017135048285126686,
0.05232447013258934,
-0.005541692487895489,
-0.002410678891465068,
0.09263138473033905,
0.03484968841075897,
-0.08497676253318787,
0.029082681983709335,
0.04523719102144241,
-0.15199485421180725,
-0.14872141182422638,
0.025431713089346886,
0.01760989800095558,
0.06115392968058586,
0.010828176513314247,
0.020519349724054337,
-0.0005467485170811415,
-0.015525246039032936,
0.040423884987831116,
-0.0018932231469079852,
0.05561971291899681,
0.020581359043717384,
-0.06097288802266121,
0.08220909535884857,
-0.07814624160528183,
-0.02792130410671234,
-0.054542914032936096,
-0.046668585389852524,
0.003535865107551217,
0.013609237037599087,
-0.05542129650712013,
-0.007449099328368902,
-0.0248490609228611,
0.04919634759426117,
0.05556479096412659,
-0.018997162580490112,
-0.05478663370013237,
-0.05477012321352959,
0.04629725590348244,
-0.025226492434740067,
-0.05152062699198723,
-0.017954008653759956,
0.09466548264026642,
-0.04623139649629593,
-0.09752261638641357,
-0.0308387354016304,
-0.01941429078578949,
0.08310803025960922,
-0.0107486667111516,
-0.04064350947737694,
0.007083368953317404,
0.01710195653140545,
-0.045094795525074005,
0.02893439307808876,
0.023125316947698593,
-0.04763486981391907,
0.05399981886148453,
-0.05166112259030342,
0.022166268900036812,
0.00026290060486644506,
0.041322316974401474,
0.046040359884500504,
0.03308624029159546,
0.07653182744979858,
-0.023764410987496376,
0.07809921354055405,
-0.060552168637514114,
-0.02778126671910286,
-0.014156695455312729,
0.12504315376281738,
0.0500737689435482,
0.12349221110343933,
0.028609685599803925,
0.0448945015668869,
-0.028919611126184464,
-0.09483514726161957,
0.09143676608800888,
0.05126044526696205,
-0.025044318288564682,
-0.02206903137266636,
-0.041032105684280396,
1.9058629701217532e-33,
-0.1052117869257927,
0.07375184446573257,
-0.041528090834617615,
0.017824094742536545,
-0.017285341396927834,
0.06484752148389816,
0.031587615609169006,
0.009606988169252872,
0.0001906660763779655,
-0.008796914480626583,
-0.03678092360496521,
-0.01622127555310726,
0.017540646716952324,
-0.006448093336075544,
0.02699950896203518,
0.023646825924515724,
-0.009538492187857628,
0.04514786973595619,
0.0676361694931984,
-0.047702986747026443,
0.09630639106035233,
-0.024916918948292732,
-0.04657113552093506,
-0.03510618582367897,
0.07501336932182312,
-0.03553248941898346,
0.010914427228271961,
-0.12805679440498352,
0.023471340537071228,
0.008296540006995201,
-0.06980738043785095,
0.03139564022421837,
0.11919009685516357,
0.03307315707206726,
-0.034515488892793655,
0.004690021276473999,
0.029618166387081146,
-0.02524634823203087,
0.02968020550906658,
-0.04233626276254654,
-0.021709514781832695,
-0.012448241002857685,
-0.020344192162156105,
-0.04116350784897804,
-0.04822073131799698,
0.020744377747178078,
-0.02820383943617344,
0.007833939976990223,
-0.024845853447914124,
-0.06238418444991112,
-0.051055245101451874,
0.0009366104495711625,
-0.06650782376527786,
0.030513113364577293,
0.07140197604894638,
-0.052559349685907364,
0.001429472817108035,
0.022186357527971268,
0.09793172776699066,
0.07244425266981125,
-0.08791598677635193,
0.05104375258088112,
0.006614180747419596,
-0.04653993993997574,
0.01781398057937622,
0.006227067671716213,
-0.0012201648205518723,
-0.06661442667245865,
0.0478363074362278,
-0.008760676719248295,
-0.016345154494047165,
-0.011962534859776497,
-0.020438620820641518,
-0.07750379294157028,
-0.05746989697217941,
0.0360831581056118,
0.04187963530421257,
-0.002587376395240426,
0.04872382804751396,
0.03191502392292023,
-0.05329209193587303,
0.02661500684916973,
-0.03021201491355896,
0.02512122318148613,
-0.04990243911743164,
0.06029655784368515,
-0.04612182080745697,
0.07245945185422897,
-0.10589282214641571,
0.09526640176773071,
-0.006255767308175564,
0.022207600995898247,
0.03941376507282257,
-0.0174691304564476,
0.03303886950016022,
-1.8421164624896375e-33,
-0.07848287373781204,
0.06019877269864082,
-0.029573019593954086,
0.039331261068582535,
0.039235953241586685,
-0.03877988085150719,
0.006777265574783087,
-0.050657398998737335,
-0.023624537512660027,
0.05474686250090599,
-0.0703292116522789,
-0.0503317154943943,
-0.0032799283508211374,
0.028543496504426003,
0.02050773985683918,
0.028741922229528427,
0.049550339579582214,
0.11926619708538055,
0.03390386700630188,
-0.011026657186448574,
0.04806387051939964,
0.055495183914899826,
-0.033332087099552155,
0.005987357348203659,
0.05801739916205406,
0.009376726113259792,
-0.006706081330776215,
0.10608749836683273,
0.0032200675923377275,
0.049818482249975204,
-0.05575127154588699,
-0.02810029685497284,
-0.02830379083752632,
-0.013569777831435204,
-0.03253457322716713,
-0.011329357512295246,
-0.04624828323721886,
0.09818048030138016,
0.018038621172308922,
0.10405958443880081,
0.007374017033725977,
0.022083893418312073,
-0.015236685052514076,
0.005118697881698608,
0.013457349501550198,
-0.06251335889101028,
0.0013334867544472218,
-0.018190640956163406,
0.009440402500331402,
-0.04415733367204666,
0.019499367102980614,
-0.09200850874185562,
-0.029701389372348785,
0.03748822584748268,
-0.06979771703481674,
0.010770357213914394,
-0.03165806457400322,
0.08470577746629715,
0.036795563995838165,
0.04000218212604523,
0.005117328837513924,
-0.008632499724626541,
-0.05601629242300987,
0.015659650787711143,
0.012213239446282387,
-0.01199426595121622,
0.05183253437280655,
-0.00527222640812397,
-0.028766050934791565,
0.04844522103667259,
0.0003214371972717345,
-0.060216449201107025,
0.011925476603209972,
0.007688833866268396,
-0.00009202141518471763,
0.0808904767036438,
-0.01429026573896408,
0.009627021849155426,
-0.019716620445251465,
0.04320463538169861,
-0.04878772050142288,
0.07913831621408463,
-0.07245321571826935,
0.011298257857561111,
0.00783988181501627,
-0.009214666672050953,
0.10083331167697906,
-0.02655556984245777,
-0.0028088537510484457,
-0.06765329092741013,
0.008019370026886463,
-0.013845916837453842,
0.037593476474285126,
-0.005406780168414116,
0.000654384377412498,
-4.631744587868525e-8,
-0.027267344295978546,
-0.08126522600650787,
-0.0006040535517968237,
-0.10223697870969772,
0.11692993342876434,
-0.0032726905774325132,
-0.007097774650901556,
-0.07321769744157791,
0.04810220003128052,
-0.07520737498998642,
0.05379733070731163,
-0.028414014726877213,
-0.008087201975286007,
0.03179299086332321,
-0.05106523260474205,
-0.025895819067955017,
-0.135304793715477,
-0.03982793539762497,
0.004499887581914663,
-0.07688610255718231,
0.05068972334265709,
0.016322974115610123,
-0.023073948919773102,
0.0028770470526069403,
-0.0046117571182549,
0.00836471002548933,
0.08841951936483383,
-0.0010318871354684234,
0.016620999202132225,
0.03157688304781914,
-0.1352987289428711,
-0.0770256519317627,
0.022944023832678795,
0.04178430512547493,
-0.10020389407873154,
0.05394476279616356,
-0.028633832931518555,
-0.030060095712542534,
-0.031234722584486008,
0.0586039274930954,
0.009170531295239925,
-0.08583388477563858,
0.04550568014383316,
-0.02293425053358078,
-0.02721070684492588,
0.07274194061756134,
0.03362470865249634,
-0.05261293053627014,
-0.03184054419398308,
-0.0011093111243098974,
0.024834945797920227,
0.05040030926465988,
-0.014212697744369507,
-0.004725945647805929,
0.03739155828952789,
-0.02826279029250145,
0.03561142086982727,
-0.020934928208589554,
0.03059200569987297,
0.007885381579399109,
-0.02291279099881649,
0.11641570180654526,
-0.0644390657544136,
-0.02998952567577362
] | null | null | null | null | null | null | null |
[
0.0555340014398098,
-0.009522572159767151,
-0.03375880420207977,
-0.014922046102583408,
-0.011483410373330116,
0.009647511877119541,
0.1146390289068222,
-0.07963669300079346,
0.01234333124011755,
0.0295251552015543,
0.05266939103603363,
0.032855384051799774,
0.09598643332719803,
-0.003557453164830804,
-0.026227571070194244,
0.01972365193068981,
0.10476240515708923,
0.018176328390836716,
-0.0380258746445179,
-0.012119809165596962,
0.048864491283893585,
-0.03531128168106079,
0.007518279831856489,
0.01032224576920271,
0.0323699526488781,
-0.13997545838356018,
0.08732851594686508,
0.028775833547115326,
-0.06912512332201004,
-0.006957745645195246,
0.034804150462150574,
0.0010971424635499716,
0.14060136675834656,
-0.03343154862523079,
-0.025221360847353935,
-0.026131566613912582,
0.03344329446554184,
-0.02228878065943718,
0.05693789944052696,
0.12419924139976501,
-0.06287308782339096,
0.05113861337304115,
-0.05168967321515083,
0.05390818044543266,
-0.09947020560503006,
-0.014821529388427734,
0.017135048285126686,
0.05232447013258934,
-0.005541692487895489,
-0.002410678891465068,
0.09263138473033905,
0.03484968841075897,
-0.08497676253318787,
0.029082681983709335,
0.04523719102144241,
-0.15199485421180725,
-0.14872141182422638,
0.025431713089346886,
0.01760989800095558,
0.06115392968058586,
0.010828176513314247,
0.020519349724054337,
-0.0005467485170811415,
-0.015525246039032936,
0.040423884987831116,
-0.0018932231469079852,
0.05561971291899681,
0.020581359043717384,
-0.06097288802266121,
0.08220909535884857,
-0.07814624160528183,
-0.02792130410671234,
-0.054542914032936096,
-0.046668585389852524,
0.003535865107551217,
0.013609237037599087,
-0.05542129650712013,
-0.007449099328368902,
-0.0248490609228611,
0.04919634759426117,
0.05556479096412659,
-0.018997162580490112,
-0.05478663370013237,
-0.05477012321352959,
0.04629725590348244,
-0.025226492434740067,
-0.05152062699198723,
-0.017954008653759956,
0.09466548264026642,
-0.04623139649629593,
-0.09752261638641357,
-0.0308387354016304,
-0.01941429078578949,
0.08310803025960922,
-0.0107486667111516,
-0.04064350947737694,
0.007083368953317404,
0.01710195653140545,
-0.045094795525074005,
0.02893439307808876,
0.023125316947698593,
-0.04763486981391907,
0.05399981886148453,
-0.05166112259030342,
0.022166268900036812,
0.00026290060486644506,
0.041322316974401474,
0.046040359884500504,
0.03308624029159546,
0.07653182744979858,
-0.023764410987496376,
0.07809921354055405,
-0.060552168637514114,
-0.02778126671910286,
-0.014156695455312729,
0.12504315376281738,
0.0500737689435482,
0.12349221110343933,
0.028609685599803925,
0.0448945015668869,
-0.028919611126184464,
-0.09483514726161957,
0.09143676608800888,
0.05126044526696205,
-0.025044318288564682,
-0.02206903137266636,
-0.041032105684280396,
1.9058629701217532e-33,
-0.1052117869257927,
0.07375184446573257,
-0.041528090834617615,
0.017824094742536545,
-0.017285341396927834,
0.06484752148389816,
0.031587615609169006,
0.009606988169252872,
0.0001906660763779655,
-0.008796914480626583,
-0.03678092360496521,
-0.01622127555310726,
0.017540646716952324,
-0.006448093336075544,
0.02699950896203518,
0.023646825924515724,
-0.009538492187857628,
0.04514786973595619,
0.0676361694931984,
-0.047702986747026443,
0.09630639106035233,
-0.024916918948292732,
-0.04657113552093506,
-0.03510618582367897,
0.07501336932182312,
-0.03553248941898346,
0.010914427228271961,
-0.12805679440498352,
0.023471340537071228,
0.008296540006995201,
-0.06980738043785095,
0.03139564022421837,
0.11919009685516357,
0.03307315707206726,
-0.034515488892793655,
0.004690021276473999,
0.029618166387081146,
-0.02524634823203087,
0.02968020550906658,
-0.04233626276254654,
-0.021709514781832695,
-0.012448241002857685,
-0.020344192162156105,
-0.04116350784897804,
-0.04822073131799698,
0.020744377747178078,
-0.02820383943617344,
0.007833939976990223,
-0.024845853447914124,
-0.06238418444991112,
-0.051055245101451874,
0.0009366104495711625,
-0.06650782376527786,
0.030513113364577293,
0.07140197604894638,
-0.052559349685907364,
0.001429472817108035,
0.022186357527971268,
0.09793172776699066,
0.07244425266981125,
-0.08791598677635193,
0.05104375258088112,
0.006614180747419596,
-0.04653993993997574,
0.01781398057937622,
0.006227067671716213,
-0.0012201648205518723,
-0.06661442667245865,
0.0478363074362278,
-0.008760676719248295,
-0.016345154494047165,
-0.011962534859776497,
-0.020438620820641518,
-0.07750379294157028,
-0.05746989697217941,
0.0360831581056118,
0.04187963530421257,
-0.002587376395240426,
0.04872382804751396,
0.03191502392292023,
-0.05329209193587303,
0.02661500684916973,
-0.03021201491355896,
0.02512122318148613,
-0.04990243911743164,
0.06029655784368515,
-0.04612182080745697,
0.07245945185422897,
-0.10589282214641571,
0.09526640176773071,
-0.006255767308175564,
0.022207600995898247,
0.03941376507282257,
-0.0174691304564476,
0.03303886950016022,
-1.8421164624896375e-33,
-0.07848287373781204,
0.06019877269864082,
-0.029573019593954086,
0.039331261068582535,
0.039235953241586685,
-0.03877988085150719,
0.006777265574783087,
-0.050657398998737335,
-0.023624537512660027,
0.05474686250090599,
-0.0703292116522789,
-0.0503317154943943,
-0.0032799283508211374,
0.028543496504426003,
0.02050773985683918,
0.028741922229528427,
0.049550339579582214,
0.11926619708538055,
0.03390386700630188,
-0.011026657186448574,
0.04806387051939964,
0.055495183914899826,
-0.033332087099552155,
0.005987357348203659,
0.05801739916205406,
0.009376726113259792,
-0.006706081330776215,
0.10608749836683273,
0.0032200675923377275,
0.049818482249975204,
-0.05575127154588699,
-0.02810029685497284,
-0.02830379083752632,
-0.013569777831435204,
-0.03253457322716713,
-0.011329357512295246,
-0.04624828323721886,
0.09818048030138016,
0.018038621172308922,
0.10405958443880081,
0.007374017033725977,
0.022083893418312073,
-0.015236685052514076,
0.005118697881698608,
0.013457349501550198,
-0.06251335889101028,
0.0013334867544472218,
-0.018190640956163406,
0.009440402500331402,
-0.04415733367204666,
0.019499367102980614,
-0.09200850874185562,
-0.029701389372348785,
0.03748822584748268,
-0.06979771703481674,
0.010770357213914394,
-0.03165806457400322,
0.08470577746629715,
0.036795563995838165,
0.04000218212604523,
0.005117328837513924,
-0.008632499724626541,
-0.05601629242300987,
0.015659650787711143,
0.012213239446282387,
-0.01199426595121622,
0.05183253437280655,
-0.00527222640812397,
-0.028766050934791565,
0.04844522103667259,
0.0003214371972717345,
-0.060216449201107025,
0.011925476603209972,
0.007688833866268396,
-0.00009202141518471763,
0.0808904767036438,
-0.01429026573896408,
0.009627021849155426,
-0.019716620445251465,
0.04320463538169861,
-0.04878772050142288,
0.07913831621408463,
-0.07245321571826935,
0.011298257857561111,
0.00783988181501627,
-0.009214666672050953,
0.10083331167697906,
-0.02655556984245777,
-0.0028088537510484457,
-0.06765329092741013,
0.008019370026886463,
-0.013845916837453842,
0.037593476474285126,
-0.005406780168414116,
0.000654384377412498,
-4.631744587868525e-8,
-0.027267344295978546,
-0.08126522600650787,
-0.0006040535517968237,
-0.10223697870969772,
0.11692993342876434,
-0.0032726905774325132,
-0.007097774650901556,
-0.07321769744157791,
0.04810220003128052,
-0.07520737498998642,
0.05379733070731163,
-0.028414014726877213,
-0.008087201975286007,
0.03179299086332321,
-0.05106523260474205,
-0.025895819067955017,
-0.135304793715477,
-0.03982793539762497,
0.004499887581914663,
-0.07688610255718231,
0.05068972334265709,
0.016322974115610123,
-0.023073948919773102,
0.0028770470526069403,
-0.0046117571182549,
0.00836471002548933,
0.08841951936483383,
-0.0010318871354684234,
0.016620999202132225,
0.03157688304781914,
-0.1352987289428711,
-0.0770256519317627,
0.022944023832678795,
0.04178430512547493,
-0.10020389407873154,
0.05394476279616356,
-0.028633832931518555,
-0.030060095712542534,
-0.031234722584486008,
0.0586039274930954,
0.009170531295239925,
-0.08583388477563858,
0.04550568014383316,
-0.02293425053358078,
-0.02721070684492588,
0.07274194061756134,
0.03362470865249634,
-0.05261293053627014,
-0.03184054419398308,
-0.0011093111243098974,
0.024834945797920227,
0.05040030926465988,
-0.014212697744369507,
-0.004725945647805929,
0.03739155828952789,
-0.02826279029250145,
0.03561142086982727,
-0.020934928208589554,
0.03059200569987297,
0.007885381579399109,
-0.02291279099881649,
0.11641570180654526,
-0.0644390657544136,
-0.02998952567577362
] |
1401.6500
|
Ryuhei Mori
|
Ryuhei Mori
|
Holographic Transformation for Quantum Factor Graphs
|
3 pages, revised
| null | null | null |
cs.IT cond-mat.stat-mech math.IT quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, a general tool called a holographic transformation, which
transforms an expression of the partition function to another form, has been
used for polynomial-time algorithms and for improvement and understanding of
the belief propagation. In this work, the holographic transformation is
generalized to quantum factor graphs.
|
[
{
"created": "Sat, 25 Jan 2014 05:56:43 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Feb 2014 16:17:29 GMT",
"version": "v2"
}
] |
2014-02-07
|
[
[
"Mori",
"Ryuhei",
""
]
] |
[
-0.04730228707194328,
0.0038259306456893682,
0.009136834181845188,
-0.028931090608239174,
-0.015683608129620552,
0.00034739181865006685,
-0.00971198733896017,
-0.07175096869468689,
0.0018990940880030394,
-0.0479557067155838,
-0.006785829085856676,
-0.035830773413181305,
-0.03823785111308098,
0.07705961912870407,
0.021034052595496178,
0.04695413261651993,
-0.02931331843137741,
0.04650875926017761,
0.007722041569650173,
-0.04883933812379837,
-0.011502952314913273,
-0.037146274000406265,
-0.10025559365749359,
-0.04025112837553024,
0.1470613181591034,
-0.0532136894762516,
0.011961997486650944,
-0.01916554756462574,
0.05398619920015335,
0.01505374163389206,
0.02351677231490612,
0.10020744055509567,
-0.011177156120538712,
-0.06427784264087677,
-0.045954473316669464,
0.006354101933538914,
0.05330857262015343,
-0.03913760930299759,
0.01967700384557247,
0.022247562184929848,
0.08683820813894272,
0.05050751939415932,
-0.039314791560173035,
0.04200883209705353,
0.04195220768451691,
0.1028515100479126,
0.0013649602187797427,
0.07269557565450668,
-0.03725292161107063,
-0.057532764971256256,
-0.033590614795684814,
0.08586975932121277,
-0.029304178431630135,
0.02193039283156395,
0.014999622479081154,
-0.002237088279798627,
0.06033141165971756,
-0.0698087215423584,
-0.012053268030285835,
-0.020541639998555183,
-0.041285522282123566,
0.021478062495589256,
-0.03455490246415138,
0.005598735995590687,
0.09286753088235855,
0.02833947166800499,
-0.0018563183257356286,
-0.030520446598529816,
0.01811358705163002,
0.07255960255861282,
-0.07342952489852905,
0.07864759862422943,
-0.08029956370592117,
-0.05186653137207031,
0.07294197380542755,
-0.009929601103067398,
0.047880303114652634,
0.00783179234713316,
0.03640900179743767,
0.02685053087770939,
0.02026185765862465,
0.04817243665456772,
0.031152885407209396,
0.024487445130944252,
0.07081877440214157,
-0.05550438165664673,
-0.12355337291955948,
0.024317163974046707,
-0.012963907793164253,
-0.0051345303654670715,
-0.04188904911279678,
-0.09175410121679306,
-0.0021275619510561228,
-0.015124253928661346,
-0.0451870858669281,
-0.03650827705860138,
-0.02724953554570675,
-0.011045103892683983,
0.08102311939001083,
0.05766540765762329,
-0.026962531730532646,
-0.06733686476945877,
0.04578445479273796,
-0.10413642972707748,
0.008811017498373985,
0.059612445533275604,
-0.012492065317928791,
0.0849892795085907,
-0.015380354598164558,
-0.021896321326494217,
0.013056602329015732,
-0.044374991208314896,
0.010484592989087105,
-0.014375713653862476,
-0.035955678671598434,
-0.009597287513315678,
0.04325346276164055,
0.06183113157749176,
-0.01015711110085249,
-0.02750302292406559,
0.0069749364629387856,
0.08321981877088547,
0.03092292509973049,
0.06460016965866089,
0.024773290380835533,
-0.011722738854587078,
-0.09385881572961807,
-1.0903215199105586e-33,
0.03721034899353981,
0.062453508377075195,
0.11404255032539368,
-0.013248477131128311,
0.053854260593652725,
0.06609033048152924,
0.03166365996003151,
-0.04781224951148033,
-0.0016561399679630995,
0.02641645446419716,
-0.03539934754371643,
0.09903094917535782,
0.023666830733418465,
-0.020165732130408287,
0.004538963083177805,
-0.052495066076517105,
0.0015216274186968803,
0.0030537876300513744,
0.03429506719112396,
-0.02126161940395832,
0.035089511424303055,
0.023867156356573105,
-0.052607595920562744,
0.04702576994895935,
-0.02648732252418995,
-0.04653346166014671,
0.03234163671731949,
0.021033158525824547,
-0.0023520509712398052,
-0.0008201560704037547,
-0.1204422265291214,
0.013705702498555183,
-0.08368057012557983,
-0.09865237027406693,
-0.004085015505552292,
-0.06416089087724686,
0.00162606593221426,
-0.05600650608539581,
0.016986563801765442,
-0.1263500154018402,
0.05016937106847763,
-0.007344592362642288,
0.11134915798902512,
-0.07897896319627762,
-0.06271056085824966,
0.03368313983082771,
0.03643956407904625,
0.01514768972992897,
-0.0033822935074567795,
-0.007871563546359539,
0.000211364560527727,
-0.10614155977964401,
-0.0837150290608406,
0.021365303546190262,
-0.024104677140712738,
-0.011188033036887646,
0.060616035014390945,
0.036213383078575134,
0.04813796281814575,
0.02818036638200283,
-0.046260420233011246,
-0.011134746484458447,
-0.011664329096674919,
0.018166035413742065,
-0.047665130347013474,
0.01699857786297798,
0.006253262981772423,
-0.09966173022985458,
0.009835162200033665,
0.08304328471422195,
-0.05140525475144386,
0.08825954794883728,
-0.00458888104185462,
0.001354503445327282,
-0.016873635351657867,
-0.05286168307065964,
-0.08059170842170715,
-0.06990309059619904,
-0.05569633096456528,
-0.03410561755299568,
-0.10761426389217377,
-0.03489072248339653,
-0.02071051299571991,
0.025920607149600983,
0.03976772353053093,
-0.07012531161308289,
-0.064372718334198,
-0.035964347422122955,
-0.07048731297254562,
-0.07781082391738892,
-0.08072561770677567,
-0.01228400133550167,
0.09303463250398636,
0.037226513028144836,
0.02064385637640953,
2.9439089705542984e-34,
-0.10920827835798264,
0.006986911408603191,
0.11189775913953781,
-0.0012421050341799855,
-0.015919120982289314,
-0.052650973200798035,
-0.0027153068222105503,
0.05125122144818306,
0.05229279026389122,
0.04311974346637726,
0.017628004774451256,
0.01866554282605648,
0.008916289545595646,
-0.003941972274333239,
0.006905504502356052,
0.01891222596168518,
-0.0007773665711283684,
0.06458338350057602,
-0.0010840923059731722,
-0.023396113887429237,
-0.0058660805225372314,
0.09524352103471756,
-0.07443424314260483,
-0.01064952090382576,
0.027654513716697693,
0.05863356590270996,
0.11082267016172409,
0.024050919339060783,
0.03749912977218628,
0.06760638952255249,
-0.08586759120225906,
-0.12469609826803207,
-0.08204277604818344,
0.005003161262720823,
-0.013319168239831924,
0.0016166073037311435,
0.06290794909000397,
0.0005130700883455575,
-0.06329218298196793,
-0.04665357246994972,
-0.0943976417183876,
-0.015379051677882671,
0.0383480004966259,
-0.0013192720944061875,
0.04121895134449005,
0.04052449017763138,
0.00699026882648468,
0.035269688814878464,
-0.022537989541888237,
0.0664084330201149,
-0.03422030806541443,
0.05642133206129074,
0.03725467994809151,
0.03964642435312271,
-0.12752214074134827,
0.027409709990024567,
-0.0418984517455101,
0.01948637329041958,
0.05065402016043663,
-0.029212716966867447,
-0.023624220862984657,
-0.004193995613604784,
0.06655844300985336,
-0.016786625608801842,
0.040580373257398605,
-0.04108956456184387,
-0.01849263533949852,
0.002659918274730444,
-0.01813117042183876,
0.04772646352648735,
0.047605182975530624,
0.07321780920028687,
0.0023954131174832582,
0.06936396658420563,
0.06322478502988815,
-0.026451032608747482,
0.012953665107488632,
0.049252744764089584,
0.03901279717683792,
0.06759774684906006,
0.029230451211333275,
-0.018439920619130135,
0.04889323189854622,
0.0595107339322567,
-0.0050540491938591,
-0.007686217315495014,
0.0731259137392044,
0.026486454531550407,
0.07302549481391907,
-0.03621656820178032,
-0.008617877960205078,
0.029765773564577103,
0.012040740810334682,
0.10302051156759262,
0.01455103699117899,
-2.7303794780664248e-8,
-0.06780974566936493,
-0.023314783349633217,
-0.04178550839424133,
-0.11055797338485718,
0.019276268780231476,
-0.056606095284223557,
0.08121676743030548,
0.009164370596408844,
-0.05760931968688965,
-0.03287111595273018,
0.04736874997615814,
-0.02352699264883995,
-0.027346691116690636,
-0.01991300843656063,
0.010292609222233295,
0.009811412543058395,
0.016372153535485268,
-0.07376379519701004,
-0.02581215277314186,
-0.006820410955697298,
-0.00460635032504797,
-0.03592816740274429,
0.02493937313556671,
0.0814036875963211,
-0.0303086806088686,
-0.08402258157730103,
-0.04002171382308006,
0.010008986108005047,
-0.021926267072558403,
0.07718531042337418,
-0.03907250985503197,
0.0039049561601132154,
0.07571451365947723,
0.1358141005039215,
-0.029170025140047073,
-0.009253713302314281,
-0.030044063925743103,
-0.06339054554700851,
-0.027510598301887512,
0.0463344007730484,
-0.005321498494595289,
0.03647764399647713,
-0.018886106088757515,
0.040546905249357224,
0.010034499689936638,
0.04032261297106743,
0.13380736112594604,
-0.03836901858448982,
0.002201460301876068,
0.06470997631549835,
0.03670438379049301,
0.04817891865968704,
-0.10679737478494644,
-0.07914328575134277,
-0.08260515332221985,
0.05275140330195427,
-0.00666825333610177,
-0.07674696296453476,
0.07901698350906372,
0.01535648014396429,
0.016604963690042496,
0.02574813924729824,
0.024832716211676598,
0.03151655197143555
] | null | null | null | null | null | null | null |
[
-0.04730228707194328,
0.0038259306456893682,
0.009136834181845188,
-0.028931090608239174,
-0.015683608129620552,
0.00034739181865006685,
-0.00971198733896017,
-0.07175096869468689,
0.0018990940880030394,
-0.0479557067155838,
-0.006785829085856676,
-0.035830773413181305,
-0.03823785111308098,
0.07705961912870407,
0.021034052595496178,
0.04695413261651993,
-0.02931331843137741,
0.04650875926017761,
0.007722041569650173,
-0.04883933812379837,
-0.011502952314913273,
-0.037146274000406265,
-0.10025559365749359,
-0.04025112837553024,
0.1470613181591034,
-0.0532136894762516,
0.011961997486650944,
-0.01916554756462574,
0.05398619920015335,
0.01505374163389206,
0.02351677231490612,
0.10020744055509567,
-0.011177156120538712,
-0.06427784264087677,
-0.045954473316669464,
0.006354101933538914,
0.05330857262015343,
-0.03913760930299759,
0.01967700384557247,
0.022247562184929848,
0.08683820813894272,
0.05050751939415932,
-0.039314791560173035,
0.04200883209705353,
0.04195220768451691,
0.1028515100479126,
0.0013649602187797427,
0.07269557565450668,
-0.03725292161107063,
-0.057532764971256256,
-0.033590614795684814,
0.08586975932121277,
-0.029304178431630135,
0.02193039283156395,
0.014999622479081154,
-0.002237088279798627,
0.06033141165971756,
-0.0698087215423584,
-0.012053268030285835,
-0.020541639998555183,
-0.041285522282123566,
0.021478062495589256,
-0.03455490246415138,
0.005598735995590687,
0.09286753088235855,
0.02833947166800499,
-0.0018563183257356286,
-0.030520446598529816,
0.01811358705163002,
0.07255960255861282,
-0.07342952489852905,
0.07864759862422943,
-0.08029956370592117,
-0.05186653137207031,
0.07294197380542755,
-0.009929601103067398,
0.047880303114652634,
0.00783179234713316,
0.03640900179743767,
0.02685053087770939,
0.02026185765862465,
0.04817243665456772,
0.031152885407209396,
0.024487445130944252,
0.07081877440214157,
-0.05550438165664673,
-0.12355337291955948,
0.024317163974046707,
-0.012963907793164253,
-0.0051345303654670715,
-0.04188904911279678,
-0.09175410121679306,
-0.0021275619510561228,
-0.015124253928661346,
-0.0451870858669281,
-0.03650827705860138,
-0.02724953554570675,
-0.011045103892683983,
0.08102311939001083,
0.05766540765762329,
-0.026962531730532646,
-0.06733686476945877,
0.04578445479273796,
-0.10413642972707748,
0.008811017498373985,
0.059612445533275604,
-0.012492065317928791,
0.0849892795085907,
-0.015380354598164558,
-0.021896321326494217,
0.013056602329015732,
-0.044374991208314896,
0.010484592989087105,
-0.014375713653862476,
-0.035955678671598434,
-0.009597287513315678,
0.04325346276164055,
0.06183113157749176,
-0.01015711110085249,
-0.02750302292406559,
0.0069749364629387856,
0.08321981877088547,
0.03092292509973049,
0.06460016965866089,
0.024773290380835533,
-0.011722738854587078,
-0.09385881572961807,
-1.0903215199105586e-33,
0.03721034899353981,
0.062453508377075195,
0.11404255032539368,
-0.013248477131128311,
0.053854260593652725,
0.06609033048152924,
0.03166365996003151,
-0.04781224951148033,
-0.0016561399679630995,
0.02641645446419716,
-0.03539934754371643,
0.09903094917535782,
0.023666830733418465,
-0.020165732130408287,
0.004538963083177805,
-0.052495066076517105,
0.0015216274186968803,
0.0030537876300513744,
0.03429506719112396,
-0.02126161940395832,
0.035089511424303055,
0.023867156356573105,
-0.052607595920562744,
0.04702576994895935,
-0.02648732252418995,
-0.04653346166014671,
0.03234163671731949,
0.021033158525824547,
-0.0023520509712398052,
-0.0008201560704037547,
-0.1204422265291214,
0.013705702498555183,
-0.08368057012557983,
-0.09865237027406693,
-0.004085015505552292,
-0.06416089087724686,
0.00162606593221426,
-0.05600650608539581,
0.016986563801765442,
-0.1263500154018402,
0.05016937106847763,
-0.007344592362642288,
0.11134915798902512,
-0.07897896319627762,
-0.06271056085824966,
0.03368313983082771,
0.03643956407904625,
0.01514768972992897,
-0.0033822935074567795,
-0.007871563546359539,
0.000211364560527727,
-0.10614155977964401,
-0.0837150290608406,
0.021365303546190262,
-0.024104677140712738,
-0.011188033036887646,
0.060616035014390945,
0.036213383078575134,
0.04813796281814575,
0.02818036638200283,
-0.046260420233011246,
-0.011134746484458447,
-0.011664329096674919,
0.018166035413742065,
-0.047665130347013474,
0.01699857786297798,
0.006253262981772423,
-0.09966173022985458,
0.009835162200033665,
0.08304328471422195,
-0.05140525475144386,
0.08825954794883728,
-0.00458888104185462,
0.001354503445327282,
-0.016873635351657867,
-0.05286168307065964,
-0.08059170842170715,
-0.06990309059619904,
-0.05569633096456528,
-0.03410561755299568,
-0.10761426389217377,
-0.03489072248339653,
-0.02071051299571991,
0.025920607149600983,
0.03976772353053093,
-0.07012531161308289,
-0.064372718334198,
-0.035964347422122955,
-0.07048731297254562,
-0.07781082391738892,
-0.08072561770677567,
-0.01228400133550167,
0.09303463250398636,
0.037226513028144836,
0.02064385637640953,
2.9439089705542984e-34,
-0.10920827835798264,
0.006986911408603191,
0.11189775913953781,
-0.0012421050341799855,
-0.015919120982289314,
-0.052650973200798035,
-0.0027153068222105503,
0.05125122144818306,
0.05229279026389122,
0.04311974346637726,
0.017628004774451256,
0.01866554282605648,
0.008916289545595646,
-0.003941972274333239,
0.006905504502356052,
0.01891222596168518,
-0.0007773665711283684,
0.06458338350057602,
-0.0010840923059731722,
-0.023396113887429237,
-0.0058660805225372314,
0.09524352103471756,
-0.07443424314260483,
-0.01064952090382576,
0.027654513716697693,
0.05863356590270996,
0.11082267016172409,
0.024050919339060783,
0.03749912977218628,
0.06760638952255249,
-0.08586759120225906,
-0.12469609826803207,
-0.08204277604818344,
0.005003161262720823,
-0.013319168239831924,
0.0016166073037311435,
0.06290794909000397,
0.0005130700883455575,
-0.06329218298196793,
-0.04665357246994972,
-0.0943976417183876,
-0.015379051677882671,
0.0383480004966259,
-0.0013192720944061875,
0.04121895134449005,
0.04052449017763138,
0.00699026882648468,
0.035269688814878464,
-0.022537989541888237,
0.0664084330201149,
-0.03422030806541443,
0.05642133206129074,
0.03725467994809151,
0.03964642435312271,
-0.12752214074134827,
0.027409709990024567,
-0.0418984517455101,
0.01948637329041958,
0.05065402016043663,
-0.029212716966867447,
-0.023624220862984657,
-0.004193995613604784,
0.06655844300985336,
-0.016786625608801842,
0.040580373257398605,
-0.04108956456184387,
-0.01849263533949852,
0.002659918274730444,
-0.01813117042183876,
0.04772646352648735,
0.047605182975530624,
0.07321780920028687,
0.0023954131174832582,
0.06936396658420563,
0.06322478502988815,
-0.026451032608747482,
0.012953665107488632,
0.049252744764089584,
0.03901279717683792,
0.06759774684906006,
0.029230451211333275,
-0.018439920619130135,
0.04889323189854622,
0.0595107339322567,
-0.0050540491938591,
-0.007686217315495014,
0.0731259137392044,
0.026486454531550407,
0.07302549481391907,
-0.03621656820178032,
-0.008617877960205078,
0.029765773564577103,
0.012040740810334682,
0.10302051156759262,
0.01455103699117899,
-2.7303794780664248e-8,
-0.06780974566936493,
-0.023314783349633217,
-0.04178550839424133,
-0.11055797338485718,
0.019276268780231476,
-0.056606095284223557,
0.08121676743030548,
0.009164370596408844,
-0.05760931968688965,
-0.03287111595273018,
0.04736874997615814,
-0.02352699264883995,
-0.027346691116690636,
-0.01991300843656063,
0.010292609222233295,
0.009811412543058395,
0.016372153535485268,
-0.07376379519701004,
-0.02581215277314186,
-0.006820410955697298,
-0.00460635032504797,
-0.03592816740274429,
0.02493937313556671,
0.0814036875963211,
-0.0303086806088686,
-0.08402258157730103,
-0.04002171382308006,
0.010008986108005047,
-0.021926267072558403,
0.07718531042337418,
-0.03907250985503197,
0.0039049561601132154,
0.07571451365947723,
0.1358141005039215,
-0.029170025140047073,
-0.009253713302314281,
-0.030044063925743103,
-0.06339054554700851,
-0.027510598301887512,
0.0463344007730484,
-0.005321498494595289,
0.03647764399647713,
-0.018886106088757515,
0.040546905249357224,
0.010034499689936638,
0.04032261297106743,
0.13380736112594604,
-0.03836901858448982,
0.002201460301876068,
0.06470997631549835,
0.03670438379049301,
0.04817891865968704,
-0.10679737478494644,
-0.07914328575134277,
-0.08260515332221985,
0.05275140330195427,
-0.00666825333610177,
-0.07674696296453476,
0.07901698350906372,
0.01535648014396429,
0.016604963690042496,
0.02574813924729824,
0.024832716211676598,
0.03151655197143555
] |
1401.6508
|
Yehia El-khatib PhD
|
Yehia Elkhatib and Gareth Tyson and Michael Welzl
|
The Effect of Network and Infrastructural Variables on SPDY's
Performance
| null | null | null |
SCC-2013-01
|
cs.NI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
HTTP is a successful Internet technology on top of which a lot of the web
resides. However, limitations with its current specification, i.e. HTTP/1.1,
have encouraged some to look for the next generation of HTTP. In SPDY, Google
has come up with such a proposal that has growing community acceptance,
especially after being adopted by the IETF HTTPbis-WG as the basis for
HTTP/2.0. SPDY has the potential to greatly improve web experience with little
deployment overhead. However, we still lack an understanding of its true
potential in different environments. This paper seeks to resolve these issues,
offering a comprehensive evaluation of SPDY's performance using extensive
experiments. We identify the impact of network characteristics and website
infrastructure on SPDY's potential page loading benefits, finding that these
factors are decisive for SPDY and its optimal deployment strategy. Through
this, we feed into the wider debate regarding HTTP/2.0, exploring the key
aspects that impact the performance of this future protocol.
|
[
{
"created": "Sat, 25 Jan 2014 08:58:00 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Elkhatib",
"Yehia",
""
],
[
"Tyson",
"Gareth",
""
],
[
"Welzl",
"Michael",
""
]
] |
[
-0.0767383724451065,
-0.032537445425987244,
0.031023455783724785,
0.021826164796948433,
-0.0002994126989506185,
-0.12389910221099854,
-0.09862187504768372,
-0.04656423628330231,
-0.09179381281137466,
-0.05932619795203209,
-0.0349593460559845,
0.07417328655719757,
0.014228183776140213,
-0.01937195099890232,
0.11910820007324219,
0.015212595462799072,
0.14476241171360016,
-0.06198151409626007,
-0.014866471290588379,
0.02625451795756817,
0.005375702399760485,
-0.06313823908567429,
0.0490352101624012,
-0.05946755409240723,
0.01650920882821083,
-0.013068762607872486,
-0.11045996099710464,
-0.040428828448057175,
0.026846030727028847,
-0.03426997363567352,
0.02865743637084961,
-0.029642555862665176,
-0.09778574854135513,
0.025966932997107506,
-0.03396284580230713,
-0.0557015985250473,
0.019797557964920998,
-0.046770744025707245,
-0.04084187373518944,
0.06357884407043457,
0.053205687552690506,
-0.05088669806718826,
-0.100181944668293,
0.042279984802007675,
-0.08080307394266129,
-0.03394792601466179,
0.024554263800382614,
0.027954207733273506,
-0.03914589062333107,
-0.058838192373514175,
0.0259108729660511,
-0.020608412101864815,
-0.020651040598750114,
-0.0037748869508504868,
-0.05275987461209297,
-0.052659839391708374,
-0.005337981041520834,
0.040557511150836945,
-0.004641341045498848,
0.0553075335919857,
0.013234020210802555,
0.003041156567633152,
0.0013483093352988362,
0.08364155888557434,
0.00695962505415082,
-0.007154129911214113,
0.09916818141937256,
-0.04705916345119476,
0.042286425828933716,
-0.044478680938482285,
-0.09646322578191757,
0.04121154546737671,
-0.08522407710552216,
0.06003090366721153,
0.010880312882363796,
-0.12618660926818848,
0.0231823418289423,
-0.016816817224025726,
0.024451611563563347,
-0.013225515373051167,
0.02901817113161087,
-0.022526485845446587,
0.05646352842450142,
0.04502353072166443,
0.019261185079813004,
-0.07047715038061142,
0.04785926640033722,
0.007556967902928591,
-0.06339549273252487,
-0.02616654522716999,
0.01323795598000288,
-0.02069009840488434,
0.08351662755012512,
0.07460048794746399,
0.005025831051170826,
0.09242191910743713,
0.02477981522679329,
-0.05906155705451965,
-0.043952614068984985,
0.059547778218984604,
0.018465258181095123,
0.006839655805379152,
0.037538301199674606,
-0.035864707082509995,
-0.02866273932158947,
0.0065901256166398525,
0.06423387676477432,
0.08698661625385284,
0.056680403649806976,
0.029287204146385193,
-0.01199466921389103,
-0.023520203307271004,
0.00790977943688631,
-0.06182633340358734,
-0.09203756600618362,
-0.002045615343376994,
-0.046632975339889526,
0.040317852050065994,
0.04382684826850891,
0.0350801944732666,
0.07866363227367401,
0.05048801749944687,
0.01739855855703354,
-0.012089770287275314,
0.017823776230216026,
0.002478858921676874,
0.015426086261868477,
-3.976112396721272e-34,
0.007714009378105402,
0.022744912654161453,
-0.06879175454378128,
-0.10687752813100815,
-0.005805992055684328,
-0.03919525071978569,
0.07883525639772415,
0.0294452253729105,
-0.08563472330570221,
-0.09365818649530411,
0.010530522093176842,
0.02151212841272354,
0.014545129612088203,
0.05484480783343315,
0.08794435113668442,
-0.022243518382310867,
-0.0620705708861351,
0.08065855503082275,
0.09782247990369797,
0.07329266518354416,
0.0358804352581501,
-0.01390527281910181,
0.02989071048796177,
0.02701455168426037,
0.01654592715203762,
0.0116833271458745,
-0.018427589908242226,
0.06575605273246765,
-0.05123434588313103,
0.03432732820510864,
0.010587673634290695,
-0.1299189180135727,
-0.031149454414844513,
0.02753404527902603,
-0.01376896072179079,
-0.018371842801570892,
-0.020799962803721428,
-0.08943992853164673,
-0.0013171861646696925,
-0.07774046063423157,
-0.05665253475308418,
0.06992184370756149,
-0.09671156108379364,
-0.030139725655317307,
-0.09575074911117554,
-0.04100196808576584,
-0.04558223858475685,
-0.01137419231235981,
0.0005039026727899909,
-0.058038778603076935,
0.004549343604594469,
-0.002356952987611294,
0.05936639755964279,
0.10916020721197128,
-0.008391783572733402,
-0.01239011436700821,
0.07639309763908386,
0.03788622096180916,
0.05541997402906418,
0.0558210164308548,
0.02347378246486187,
-0.0629434734582901,
-0.030463797971606255,
-0.08176375180482864,
-0.02956446446478367,
-0.03551001101732254,
-0.002218774985522032,
0.06733138859272003,
0.0008280663751065731,
-0.030687035992741585,
-0.02214484103024006,
-0.0270023625344038,
0.012565811164677143,
0.019873274490237236,
-0.04102823883295059,
0.02839144505560398,
0.0051433611661195755,
-0.02301093563437462,
0.06568167358636856,
0.0019144341349601746,
0.017402926459908485,
0.06342857331037521,
0.05473921075463295,
-0.008980253711342812,
-0.021538671106100082,
-0.06200651824474335,
0.010029306635260582,
-0.03063851408660412,
-0.10538145899772644,
0.0487905815243721,
-0.028377151116728783,
0.030556831508874893,
-0.013198898173868656,
0.02136337198317051,
0.054110828787088394,
-1.971376025357964e-33,
-0.031203895807266235,
0.020245084539055824,
0.0059639462269842625,
0.12534429132938385,
0.022552644833922386,
-0.05373081564903259,
0.0654555931687355,
-0.0384334959089756,
-0.005931909196078777,
0.020048528909683228,
0.013186019845306873,
0.031035587191581726,
0.010294736362993717,
-0.008429293520748615,
0.018263598904013634,
0.03808647766709328,
-0.03822324052453041,
-0.050645627081394196,
-0.014651117846369743,
0.03904540464282036,
-0.00825436320155859,
0.0722685158252716,
-0.07228764146566391,
0.036609720438718796,
-0.0056203496642410755,
-0.004972923547029495,
-0.027486253529787064,
-0.031229108572006226,
-0.05422622710466385,
-0.05595666170120239,
0.01026048045605421,
-0.02403121255338192,
-0.028153862804174423,
-0.0557224377989769,
0.09247948229312897,
0.08745045214891434,
-0.002343560568988323,
0.10045678913593292,
0.0289736520498991,
0.0193160530179739,
0.07759620994329453,
0.008267962373793125,
0.011103303171694279,
0.0728221982717514,
0.07585200667381287,
0.019145123660564423,
-0.10589319467544556,
0.05308963358402252,
-0.007976260036230087,
-0.043703969568014145,
-0.005633742548525333,
0.04214077442884445,
0.011947209015488625,
-0.036937493830919266,
-0.004199111368507147,
-0.015584712848067284,
-0.06705298274755478,
0.05942568555474281,
-0.0888243243098259,
0.04171864688396454,
-0.042624473571777344,
0.006862711627036333,
-0.032825566828250885,
0.10291048884391785,
0.014659606851637363,
-0.03069384954869747,
-0.07191120833158493,
0.0022472008131444454,
-0.03806021809577942,
0.01447980385273695,
0.0055483439937233925,
-0.0380076989531517,
-0.0368230976164341,
-0.045418184250593185,
-0.01356678269803524,
-0.006893559359014034,
0.0799821987748146,
0.030418897047638893,
-0.009595676325261593,
0.055424679070711136,
-0.0446154922246933,
0.15483123064041138,
-0.019036930054426193,
-0.09971805661916733,
0.04233049228787422,
-0.007809395901858807,
-0.0244158785790205,
0.026444049552083015,
-0.029454486444592476,
-0.03509032726287842,
0.02123344875872135,
0.08594750612974167,
-0.11519847065210342,
0.03522853925824165,
0.03595476597547531,
-4.3840241659154344e-8,
0.002381113125011325,
0.03477669134736061,
0.061387382447719574,
0.01894586719572544,
0.005681483540683985,
0.06725647300481796,
0.0076410891488194466,
0.02048318460583687,
-0.007893189787864685,
0.0199299156665802,
0.06663080304861069,
0.003351510502398014,
-0.06246095150709152,
0.018694167956709862,
0.009641331620514393,
0.07519397884607315,
-0.0701175108551979,
-0.032851047813892365,
-0.04157098010182381,
-0.09452570974826813,
-0.014435232616961002,
0.00936984084546566,
0.023654498159885406,
-0.03757436200976372,
0.03469201922416687,
0.024764254689216614,
0.020900972187519073,
0.024492783471941948,
0.002767510013654828,
-0.06382999569177628,
-0.03607003763318062,
0.025851674377918243,
-0.11352892220020294,
-0.0510946623980999,
0.03851557895541191,
0.03220616281032562,
-0.09369800984859467,
0.007186689879745245,
0.02500811591744423,
0.002270947676151991,
0.061890631914138794,
0.014725291170179844,
0.05651230365037918,
0.023979363963007927,
0.08563526719808578,
0.03271590173244476,
-0.08306386321783066,
0.046280279755592346,
0.007270824629813433,
-0.1084844097495079,
-0.008163800463080406,
-0.11191202700138092,
-0.0349637046456337,
0.022252043709158897,
0.060239337384700775,
0.01568794995546341,
-0.05423325300216675,
-0.016934199258685112,
0.06474163383245468,
0.08700033277273178,
0.046573881059885025,
-0.019374843686819077,
0.015555445104837418,
0.043031711131334305
] | null | null | null | null | null | null | null |
[
-0.0767383724451065,
-0.032537445425987244,
0.031023455783724785,
0.021826164796948433,
-0.0002994126989506185,
-0.12389910221099854,
-0.09862187504768372,
-0.04656423628330231,
-0.09179381281137466,
-0.05932619795203209,
-0.0349593460559845,
0.07417328655719757,
0.014228183776140213,
-0.01937195099890232,
0.11910820007324219,
0.015212595462799072,
0.14476241171360016,
-0.06198151409626007,
-0.014866471290588379,
0.02625451795756817,
0.005375702399760485,
-0.06313823908567429,
0.0490352101624012,
-0.05946755409240723,
0.01650920882821083,
-0.013068762607872486,
-0.11045996099710464,
-0.040428828448057175,
0.026846030727028847,
-0.03426997363567352,
0.02865743637084961,
-0.029642555862665176,
-0.09778574854135513,
0.025966932997107506,
-0.03396284580230713,
-0.0557015985250473,
0.019797557964920998,
-0.046770744025707245,
-0.04084187373518944,
0.06357884407043457,
0.053205687552690506,
-0.05088669806718826,
-0.100181944668293,
0.042279984802007675,
-0.08080307394266129,
-0.03394792601466179,
0.024554263800382614,
0.027954207733273506,
-0.03914589062333107,
-0.058838192373514175,
0.0259108729660511,
-0.020608412101864815,
-0.020651040598750114,
-0.0037748869508504868,
-0.05275987461209297,
-0.052659839391708374,
-0.005337981041520834,
0.040557511150836945,
-0.004641341045498848,
0.0553075335919857,
0.013234020210802555,
0.003041156567633152,
0.0013483093352988362,
0.08364155888557434,
0.00695962505415082,
-0.007154129911214113,
0.09916818141937256,
-0.04705916345119476,
0.042286425828933716,
-0.044478680938482285,
-0.09646322578191757,
0.04121154546737671,
-0.08522407710552216,
0.06003090366721153,
0.010880312882363796,
-0.12618660926818848,
0.0231823418289423,
-0.016816817224025726,
0.024451611563563347,
-0.013225515373051167,
0.02901817113161087,
-0.022526485845446587,
0.05646352842450142,
0.04502353072166443,
0.019261185079813004,
-0.07047715038061142,
0.04785926640033722,
0.007556967902928591,
-0.06339549273252487,
-0.02616654522716999,
0.01323795598000288,
-0.02069009840488434,
0.08351662755012512,
0.07460048794746399,
0.005025831051170826,
0.09242191910743713,
0.02477981522679329,
-0.05906155705451965,
-0.043952614068984985,
0.059547778218984604,
0.018465258181095123,
0.006839655805379152,
0.037538301199674606,
-0.035864707082509995,
-0.02866273932158947,
0.0065901256166398525,
0.06423387676477432,
0.08698661625385284,
0.056680403649806976,
0.029287204146385193,
-0.01199466921389103,
-0.023520203307271004,
0.00790977943688631,
-0.06182633340358734,
-0.09203756600618362,
-0.002045615343376994,
-0.046632975339889526,
0.040317852050065994,
0.04382684826850891,
0.0350801944732666,
0.07866363227367401,
0.05048801749944687,
0.01739855855703354,
-0.012089770287275314,
0.017823776230216026,
0.002478858921676874,
0.015426086261868477,
-3.976112396721272e-34,
0.007714009378105402,
0.022744912654161453,
-0.06879175454378128,
-0.10687752813100815,
-0.005805992055684328,
-0.03919525071978569,
0.07883525639772415,
0.0294452253729105,
-0.08563472330570221,
-0.09365818649530411,
0.010530522093176842,
0.02151212841272354,
0.014545129612088203,
0.05484480783343315,
0.08794435113668442,
-0.022243518382310867,
-0.0620705708861351,
0.08065855503082275,
0.09782247990369797,
0.07329266518354416,
0.0358804352581501,
-0.01390527281910181,
0.02989071048796177,
0.02701455168426037,
0.01654592715203762,
0.0116833271458745,
-0.018427589908242226,
0.06575605273246765,
-0.05123434588313103,
0.03432732820510864,
0.010587673634290695,
-0.1299189180135727,
-0.031149454414844513,
0.02753404527902603,
-0.01376896072179079,
-0.018371842801570892,
-0.020799962803721428,
-0.08943992853164673,
-0.0013171861646696925,
-0.07774046063423157,
-0.05665253475308418,
0.06992184370756149,
-0.09671156108379364,
-0.030139725655317307,
-0.09575074911117554,
-0.04100196808576584,
-0.04558223858475685,
-0.01137419231235981,
0.0005039026727899909,
-0.058038778603076935,
0.004549343604594469,
-0.002356952987611294,
0.05936639755964279,
0.10916020721197128,
-0.008391783572733402,
-0.01239011436700821,
0.07639309763908386,
0.03788622096180916,
0.05541997402906418,
0.0558210164308548,
0.02347378246486187,
-0.0629434734582901,
-0.030463797971606255,
-0.08176375180482864,
-0.02956446446478367,
-0.03551001101732254,
-0.002218774985522032,
0.06733138859272003,
0.0008280663751065731,
-0.030687035992741585,
-0.02214484103024006,
-0.0270023625344038,
0.012565811164677143,
0.019873274490237236,
-0.04102823883295059,
0.02839144505560398,
0.0051433611661195755,
-0.02301093563437462,
0.06568167358636856,
0.0019144341349601746,
0.017402926459908485,
0.06342857331037521,
0.05473921075463295,
-0.008980253711342812,
-0.021538671106100082,
-0.06200651824474335,
0.010029306635260582,
-0.03063851408660412,
-0.10538145899772644,
0.0487905815243721,
-0.028377151116728783,
0.030556831508874893,
-0.013198898173868656,
0.02136337198317051,
0.054110828787088394,
-1.971376025357964e-33,
-0.031203895807266235,
0.020245084539055824,
0.0059639462269842625,
0.12534429132938385,
0.022552644833922386,
-0.05373081564903259,
0.0654555931687355,
-0.0384334959089756,
-0.005931909196078777,
0.020048528909683228,
0.013186019845306873,
0.031035587191581726,
0.010294736362993717,
-0.008429293520748615,
0.018263598904013634,
0.03808647766709328,
-0.03822324052453041,
-0.050645627081394196,
-0.014651117846369743,
0.03904540464282036,
-0.00825436320155859,
0.0722685158252716,
-0.07228764146566391,
0.036609720438718796,
-0.0056203496642410755,
-0.004972923547029495,
-0.027486253529787064,
-0.031229108572006226,
-0.05422622710466385,
-0.05595666170120239,
0.01026048045605421,
-0.02403121255338192,
-0.028153862804174423,
-0.0557224377989769,
0.09247948229312897,
0.08745045214891434,
-0.002343560568988323,
0.10045678913593292,
0.0289736520498991,
0.0193160530179739,
0.07759620994329453,
0.008267962373793125,
0.011103303171694279,
0.0728221982717514,
0.07585200667381287,
0.019145123660564423,
-0.10589319467544556,
0.05308963358402252,
-0.007976260036230087,
-0.043703969568014145,
-0.005633742548525333,
0.04214077442884445,
0.011947209015488625,
-0.036937493830919266,
-0.004199111368507147,
-0.015584712848067284,
-0.06705298274755478,
0.05942568555474281,
-0.0888243243098259,
0.04171864688396454,
-0.042624473571777344,
0.006862711627036333,
-0.032825566828250885,
0.10291048884391785,
0.014659606851637363,
-0.03069384954869747,
-0.07191120833158493,
0.0022472008131444454,
-0.03806021809577942,
0.01447980385273695,
0.0055483439937233925,
-0.0380076989531517,
-0.0368230976164341,
-0.045418184250593185,
-0.01356678269803524,
-0.006893559359014034,
0.0799821987748146,
0.030418897047638893,
-0.009595676325261593,
0.055424679070711136,
-0.0446154922246933,
0.15483123064041138,
-0.019036930054426193,
-0.09971805661916733,
0.04233049228787422,
-0.007809395901858807,
-0.0244158785790205,
0.026444049552083015,
-0.029454486444592476,
-0.03509032726287842,
0.02123344875872135,
0.08594750612974167,
-0.11519847065210342,
0.03522853925824165,
0.03595476597547531,
-4.3840241659154344e-8,
0.002381113125011325,
0.03477669134736061,
0.061387382447719574,
0.01894586719572544,
0.005681483540683985,
0.06725647300481796,
0.0076410891488194466,
0.02048318460583687,
-0.007893189787864685,
0.0199299156665802,
0.06663080304861069,
0.003351510502398014,
-0.06246095150709152,
0.018694167956709862,
0.009641331620514393,
0.07519397884607315,
-0.0701175108551979,
-0.032851047813892365,
-0.04157098010182381,
-0.09452570974826813,
-0.014435232616961002,
0.00936984084546566,
0.023654498159885406,
-0.03757436200976372,
0.03469201922416687,
0.024764254689216614,
0.020900972187519073,
0.024492783471941948,
0.002767510013654828,
-0.06382999569177628,
-0.03607003763318062,
0.025851674377918243,
-0.11352892220020294,
-0.0510946623980999,
0.03851557895541191,
0.03220616281032562,
-0.09369800984859467,
0.007186689879745245,
0.02500811591744423,
0.002270947676151991,
0.061890631914138794,
0.014725291170179844,
0.05651230365037918,
0.023979363963007927,
0.08563526719808578,
0.03271590173244476,
-0.08306386321783066,
0.046280279755592346,
0.007270824629813433,
-0.1084844097495079,
-0.008163800463080406,
-0.11191202700138092,
-0.0349637046456337,
0.022252043709158897,
0.060239337384700775,
0.01568794995546341,
-0.05423325300216675,
-0.016934199258685112,
0.06474163383245468,
0.08700033277273178,
0.046573881059885025,
-0.019374843686819077,
0.015555445104837418,
0.043031711131334305
] |
1401.6512
|
Mina Karzand
|
Mina Karzand and Lizhong Zheng
|
Achievable Degrees of Freedom in MIMO Correlatively Changing Fading
Channels
|
submitted for ISIT 2014. arXiv admin note: substantial text overlap
with arXiv:1401.2169
| null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The relationship between the transmitted signal and the noiseless received
signals in correlatively changing fading channels is modeled as a nonlinear
mapping over manifolds of different dimensions. Dimension counting argument
claims that the dimensionality of the neighborhood in which this mapping is
bijective with probability one is achievable as the degrees of freedom of the
system.We call the degrees of freedom achieved by the nonlinear decoding
methods the nonlinear degrees of freedom.
|
[
{
"created": "Sat, 25 Jan 2014 09:31:09 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Karzand",
"Mina",
""
],
[
"Zheng",
"Lizhong",
""
]
] |
[
0.0548994317650795,
-0.11150148510932922,
0.00002558831147325691,
-0.020962156355381012,
-0.038716528564691544,
0.06791394203901291,
0.028588175773620605,
-0.07069487124681473,
0.05495710298418999,
-0.03854921832680702,
0.07371605932712555,
0.04581063985824585,
0.07229054719209671,
-0.01098693162202835,
-0.057948485016822815,
-0.011029727756977081,
0.002034609206020832,
0.013278285972774029,
-0.0656789094209671,
0.003886953229084611,
0.005988009739667177,
-0.004561097826808691,
-0.025179196149110794,
0.05311747267842293,
0.07563751190900803,
-0.03711124509572983,
0.06618355959653854,
0.02390562929213047,
0.005660190246999264,
-0.009208472445607185,
0.0912628173828125,
0.0659666582942009,
0.013271097093820572,
0.00296669639647007,
-0.04969654604792595,
-0.019976846873760223,
0.011063898913562298,
-0.0022880425676703453,
0.04711567610502243,
0.09371691942214966,
-0.018666258081793785,
0.015023578889667988,
0.012463945895433426,
0.056321848183870316,
0.02223900705575943,
-0.025029713287949562,
-0.007597124204039574,
-0.09281021356582642,
-0.050514958798885345,
-0.011234880425035954,
0.07845092564821243,
0.11936958879232407,
-0.09950477629899979,
0.0635976567864418,
0.008252326399087906,
-0.0430954173207283,
-0.020930446684360504,
0.04871615394949913,
-0.008127955719828606,
0.04840753227472305,
0.040176715701818466,
0.015404542908072472,
0.03189403936266899,
-0.018527738749980927,
-0.040033433586359024,
0.0799727663397789,
-0.046760741621255875,
0.08501261472702026,
-0.0587855763733387,
0.059454869478940964,
-0.1354709267616272,
0.00574593897908926,
0.005709548946470022,
0.0064553385600447655,
0.08476951718330383,
-0.04551995173096657,
-0.02389463596045971,
0.03364388644695282,
0.03264167904853821,
0.03829137608408928,
0.04148878529667854,
-0.0368441566824913,
-0.05080154538154602,
-0.050071053206920624,
0.02781963162124157,
0.02579120360314846,
0.003893740475177765,
-0.023309964686632156,
0.00949863065034151,
-0.05784883722662926,
-0.09312833100557327,
-0.022907042875885963,
-0.006471891887485981,
0.07567694783210754,
-0.10967984050512314,
-0.08353552967309952,
-0.031679801642894745,
-0.009792706929147243,
0.13005995750427246,
0.021623628214001656,
-0.0358133539557457,
-0.11384513974189758,
0.026522155851125717,
-0.0046455143019557,
-0.008025617338716984,
-0.0256046075373888,
0.04733612388372421,
0.0441247895359993,
0.027881016954779625,
-0.06655922532081604,
0.022091668099164963,
-0.018186939880251884,
0.028572220355272293,
0.08921051770448685,
-0.013443432748317719,
0.026920456439256668,
0.062142714858055115,
0.0631699413061142,
0.02597747929394245,
-0.014737940393388271,
0.04378730058670044,
-0.00579268392175436,
0.0022887857630848885,
-0.015256834216415882,
-0.025668557733297348,
0.07630468159914017,
0.08471883088350296,
1.8960688981274957e-33,
-0.02246432565152645,
0.02478596940636635,
-0.03177592158317566,
0.07565479725599289,
0.03824390470981598,
0.06966249644756317,
0.04720347002148628,
-0.07183447480201721,
0.09438430517911911,
0.04170466959476471,
-0.05161299929022789,
0.07122644037008286,
-0.007672094274312258,
0.02365252375602722,
0.06921016424894333,
0.1067410260438919,
0.004080622456967831,
0.008199903182685375,
0.031519319862127304,
-0.04244161397218704,
0.0537237748503685,
0.05614897236227989,
-0.02679343894124031,
-0.040072958916425705,
0.019767574965953827,
-0.02581619843840599,
-0.11765781790018082,
-0.054865241050720215,
-0.08280286192893982,
0.013246113434433937,
-0.022358814254403114,
0.0000021227790512057254,
-0.05269958823919296,
-0.06852147728204727,
0.015089321881532669,
-0.03747409209609032,
-0.008441891521215439,
0.04026191681623459,
-0.06824424117803574,
-0.08937147259712219,
-0.01864088512957096,
-0.05051437392830849,
-0.05046498775482178,
-0.023907097056508064,
-0.08068175613880157,
-0.03418554365634918,
0.060128699988126755,
-0.035290807485580444,
-0.060597974807024,
-0.036395225673913956,
0.016375692561268806,
-0.02738753706216812,
-0.07907088100910187,
0.028244011104106903,
0.04213167726993561,
-0.021382194012403488,
-0.0492478646337986,
0.056599874049425125,
0.08754424750804901,
0.09619815647602081,
-0.07258537411689758,
0.004939406644552946,
0.056730691343545914,
-0.10641214996576309,
0.11576787382364273,
-0.01531184371560812,
0.017729606479406357,
-0.030144289135932922,
0.021594710648059845,
-0.04703160747885704,
0.01727936789393425,
0.014823276549577713,
-0.09697743505239487,
-0.03867008909583092,
-0.04094506800174713,
-0.01274238433688879,
0.0035118975210934877,
-0.0933944582939148,
-0.033168673515319824,
0.03609737753868103,
-0.0954001247882843,
0.015211597084999084,
-0.0464816689491272,
0.005825561936944723,
0.013275127857923508,
0.007399777416139841,
-0.03496263548731804,
-0.08319030702114105,
-0.08234976977109909,
-0.007540677674114704,
-0.03745531663298607,
0.01495016273111105,
-0.025513529777526855,
-0.0034548481926321983,
0.039747368544340134,
-3.873310823967055e-33,
-0.07814781367778778,
0.07424642145633698,
-0.027498828247189522,
0.01448369212448597,
-0.09486158937215805,
0.018209168687462807,
0.059277161955833435,
0.13145390152931213,
-0.012679514475166798,
0.016050513833761215,
-0.01787261664867401,
-0.060522183775901794,
-0.035730719566345215,
0.04125198349356651,
0.02794741839170456,
0.014572175219655037,
0.023380564525723457,
-0.00202541914768517,
-0.0009594544535502791,
-0.0020293090492486954,
0.025147730484604836,
0.07657381147146225,
-0.09693822264671326,
-0.023649463430047035,
-0.006896300707012415,
0.06320822983980179,
-0.006694933399558067,
0.062119483947753906,
0.03387396037578583,
-0.0031295481603592634,
0.006562467664480209,
-0.035109732300043106,
-0.02396322600543499,
0.004636469762772322,
-0.02136828564107418,
0.012299268506467342,
0.03739861026406288,
0.03288266807794571,
-0.048352424055337906,
0.05111469328403473,
-0.04159274697303772,
0.0003849326749332249,
0.03441483899950981,
0.014105174690485,
0.01813272014260292,
-0.040315449237823486,
0.03446655720472336,
-0.04595339670777321,
0.056096151471138,
-0.006839420646429062,
0.06860347092151642,
0.07067661732435226,
0.027904191985726357,
0.049277059733867645,
-0.018341904506087303,
0.032518450170755386,
-0.04553402215242386,
-0.010145831853151321,
0.10177001357078552,
0.02031571976840496,
-0.022875627502799034,
-0.10016550123691559,
0.03782309964299202,
0.022671924903988838,
0.026250697672367096,
-0.024577591568231583,
-0.023733744397759438,
-0.04874025657773018,
-0.06038827449083328,
0.04157831147313118,
0.07593834400177002,
-0.052332278341054916,
-0.10115208476781845,
-0.019978724420070648,
-0.010909652337431908,
-0.04535939171910286,
-0.016758911311626434,
-0.009608625434339046,
-0.10800815373659134,
-0.0029627042822539806,
0.021185725927352905,
0.0162355974316597,
-0.0030853075440973043,
-0.009109065867960453,
-0.013873191550374031,
0.00543604139238596,
0.11512865126132965,
-0.13732849061489105,
0.0011208333307877183,
-0.09319088608026505,
0.04923568293452263,
-0.007707992568612099,
-0.06566820293664932,
0.009127997793257236,
0.015619426965713501,
-4.1523552596345326e-8,
-0.11965984851121902,
-0.0568697527050972,
-0.06646020710468292,
-0.059061385691165924,
0.028051035478711128,
-0.024985965341329575,
-0.0016287207836285233,
0.03566271811723709,
-0.015664322301745415,
0.002020161598920822,
0.055124811828136444,
0.03529274836182594,
-0.032535504549741745,
0.11112218350172043,
-0.06749623268842697,
0.002827129792422056,
-0.03772198036313057,
-0.027049312368035316,
0.048918139189481735,
0.01785263791680336,
-0.04960064962506294,
-0.00852577481418848,
-0.032816074788570404,
0.011829240247607231,
0.011420023627579212,
-0.09551524370908737,
0.05180494114756584,
0.005835441872477531,
0.02536758966743946,
-0.025998320430517197,
0.048297930508852005,
0.029824979603290558,
0.025641055777668953,
0.06975672394037247,
-0.052318233996629715,
-0.045723576098680496,
0.016186600551009178,
-0.04140833765268326,
-0.05782732367515564,
0.02924693375825882,
-0.06102367490530014,
0.0024121133610606194,
-0.05982042849063873,
0.02471224218606949,
0.04185169190168381,
0.03648301586508751,
0.1192714050412178,
-0.018214868381619453,
-0.00982804223895073,
0.04196355864405632,
0.05804211273789406,
-0.05259960517287254,
0.006334695499390364,
-0.047062814235687256,
0.042183104902505875,
0.0055767386220395565,
0.0424140989780426,
-0.041038189083337784,
0.0066428715363144875,
-0.035590942949056625,
-0.11040770262479782,
0.10373646020889282,
-0.017054932191967964,
-0.08165565133094788
] | null | null | null | null | null | null | null |
[
0.0548994317650795,
-0.11150148510932922,
0.00002558831147325691,
-0.020962156355381012,
-0.038716528564691544,
0.06791394203901291,
0.028588175773620605,
-0.07069487124681473,
0.05495710298418999,
-0.03854921832680702,
0.07371605932712555,
0.04581063985824585,
0.07229054719209671,
-0.01098693162202835,
-0.057948485016822815,
-0.011029727756977081,
0.002034609206020832,
0.013278285972774029,
-0.0656789094209671,
0.003886953229084611,
0.005988009739667177,
-0.004561097826808691,
-0.025179196149110794,
0.05311747267842293,
0.07563751190900803,
-0.03711124509572983,
0.06618355959653854,
0.02390562929213047,
0.005660190246999264,
-0.009208472445607185,
0.0912628173828125,
0.0659666582942009,
0.013271097093820572,
0.00296669639647007,
-0.04969654604792595,
-0.019976846873760223,
0.011063898913562298,
-0.0022880425676703453,
0.04711567610502243,
0.09371691942214966,
-0.018666258081793785,
0.015023578889667988,
0.012463945895433426,
0.056321848183870316,
0.02223900705575943,
-0.025029713287949562,
-0.007597124204039574,
-0.09281021356582642,
-0.050514958798885345,
-0.011234880425035954,
0.07845092564821243,
0.11936958879232407,
-0.09950477629899979,
0.0635976567864418,
0.008252326399087906,
-0.0430954173207283,
-0.020930446684360504,
0.04871615394949913,
-0.008127955719828606,
0.04840753227472305,
0.040176715701818466,
0.015404542908072472,
0.03189403936266899,
-0.018527738749980927,
-0.040033433586359024,
0.0799727663397789,
-0.046760741621255875,
0.08501261472702026,
-0.0587855763733387,
0.059454869478940964,
-0.1354709267616272,
0.00574593897908926,
0.005709548946470022,
0.0064553385600447655,
0.08476951718330383,
-0.04551995173096657,
-0.02389463596045971,
0.03364388644695282,
0.03264167904853821,
0.03829137608408928,
0.04148878529667854,
-0.0368441566824913,
-0.05080154538154602,
-0.050071053206920624,
0.02781963162124157,
0.02579120360314846,
0.003893740475177765,
-0.023309964686632156,
0.00949863065034151,
-0.05784883722662926,
-0.09312833100557327,
-0.022907042875885963,
-0.006471891887485981,
0.07567694783210754,
-0.10967984050512314,
-0.08353552967309952,
-0.031679801642894745,
-0.009792706929147243,
0.13005995750427246,
0.021623628214001656,
-0.0358133539557457,
-0.11384513974189758,
0.026522155851125717,
-0.0046455143019557,
-0.008025617338716984,
-0.0256046075373888,
0.04733612388372421,
0.0441247895359993,
0.027881016954779625,
-0.06655922532081604,
0.022091668099164963,
-0.018186939880251884,
0.028572220355272293,
0.08921051770448685,
-0.013443432748317719,
0.026920456439256668,
0.062142714858055115,
0.0631699413061142,
0.02597747929394245,
-0.014737940393388271,
0.04378730058670044,
-0.00579268392175436,
0.0022887857630848885,
-0.015256834216415882,
-0.025668557733297348,
0.07630468159914017,
0.08471883088350296,
1.8960688981274957e-33,
-0.02246432565152645,
0.02478596940636635,
-0.03177592158317566,
0.07565479725599289,
0.03824390470981598,
0.06966249644756317,
0.04720347002148628,
-0.07183447480201721,
0.09438430517911911,
0.04170466959476471,
-0.05161299929022789,
0.07122644037008286,
-0.007672094274312258,
0.02365252375602722,
0.06921016424894333,
0.1067410260438919,
0.004080622456967831,
0.008199903182685375,
0.031519319862127304,
-0.04244161397218704,
0.0537237748503685,
0.05614897236227989,
-0.02679343894124031,
-0.040072958916425705,
0.019767574965953827,
-0.02581619843840599,
-0.11765781790018082,
-0.054865241050720215,
-0.08280286192893982,
0.013246113434433937,
-0.022358814254403114,
0.0000021227790512057254,
-0.05269958823919296,
-0.06852147728204727,
0.015089321881532669,
-0.03747409209609032,
-0.008441891521215439,
0.04026191681623459,
-0.06824424117803574,
-0.08937147259712219,
-0.01864088512957096,
-0.05051437392830849,
-0.05046498775482178,
-0.023907097056508064,
-0.08068175613880157,
-0.03418554365634918,
0.060128699988126755,
-0.035290807485580444,
-0.060597974807024,
-0.036395225673913956,
0.016375692561268806,
-0.02738753706216812,
-0.07907088100910187,
0.028244011104106903,
0.04213167726993561,
-0.021382194012403488,
-0.0492478646337986,
0.056599874049425125,
0.08754424750804901,
0.09619815647602081,
-0.07258537411689758,
0.004939406644552946,
0.056730691343545914,
-0.10641214996576309,
0.11576787382364273,
-0.01531184371560812,
0.017729606479406357,
-0.030144289135932922,
0.021594710648059845,
-0.04703160747885704,
0.01727936789393425,
0.014823276549577713,
-0.09697743505239487,
-0.03867008909583092,
-0.04094506800174713,
-0.01274238433688879,
0.0035118975210934877,
-0.0933944582939148,
-0.033168673515319824,
0.03609737753868103,
-0.0954001247882843,
0.015211597084999084,
-0.0464816689491272,
0.005825561936944723,
0.013275127857923508,
0.007399777416139841,
-0.03496263548731804,
-0.08319030702114105,
-0.08234976977109909,
-0.007540677674114704,
-0.03745531663298607,
0.01495016273111105,
-0.025513529777526855,
-0.0034548481926321983,
0.039747368544340134,
-3.873310823967055e-33,
-0.07814781367778778,
0.07424642145633698,
-0.027498828247189522,
0.01448369212448597,
-0.09486158937215805,
0.018209168687462807,
0.059277161955833435,
0.13145390152931213,
-0.012679514475166798,
0.016050513833761215,
-0.01787261664867401,
-0.060522183775901794,
-0.035730719566345215,
0.04125198349356651,
0.02794741839170456,
0.014572175219655037,
0.023380564525723457,
-0.00202541914768517,
-0.0009594544535502791,
-0.0020293090492486954,
0.025147730484604836,
0.07657381147146225,
-0.09693822264671326,
-0.023649463430047035,
-0.006896300707012415,
0.06320822983980179,
-0.006694933399558067,
0.062119483947753906,
0.03387396037578583,
-0.0031295481603592634,
0.006562467664480209,
-0.035109732300043106,
-0.02396322600543499,
0.004636469762772322,
-0.02136828564107418,
0.012299268506467342,
0.03739861026406288,
0.03288266807794571,
-0.048352424055337906,
0.05111469328403473,
-0.04159274697303772,
0.0003849326749332249,
0.03441483899950981,
0.014105174690485,
0.01813272014260292,
-0.040315449237823486,
0.03446655720472336,
-0.04595339670777321,
0.056096151471138,
-0.006839420646429062,
0.06860347092151642,
0.07067661732435226,
0.027904191985726357,
0.049277059733867645,
-0.018341904506087303,
0.032518450170755386,
-0.04553402215242386,
-0.010145831853151321,
0.10177001357078552,
0.02031571976840496,
-0.022875627502799034,
-0.10016550123691559,
0.03782309964299202,
0.022671924903988838,
0.026250697672367096,
-0.024577591568231583,
-0.023733744397759438,
-0.04874025657773018,
-0.06038827449083328,
0.04157831147313118,
0.07593834400177002,
-0.052332278341054916,
-0.10115208476781845,
-0.019978724420070648,
-0.010909652337431908,
-0.04535939171910286,
-0.016758911311626434,
-0.009608625434339046,
-0.10800815373659134,
-0.0029627042822539806,
0.021185725927352905,
0.0162355974316597,
-0.0030853075440973043,
-0.009109065867960453,
-0.013873191550374031,
0.00543604139238596,
0.11512865126132965,
-0.13732849061489105,
0.0011208333307877183,
-0.09319088608026505,
0.04923568293452263,
-0.007707992568612099,
-0.06566820293664932,
0.009127997793257236,
0.015619426965713501,
-4.1523552596345326e-8,
-0.11965984851121902,
-0.0568697527050972,
-0.06646020710468292,
-0.059061385691165924,
0.028051035478711128,
-0.024985965341329575,
-0.0016287207836285233,
0.03566271811723709,
-0.015664322301745415,
0.002020161598920822,
0.055124811828136444,
0.03529274836182594,
-0.032535504549741745,
0.11112218350172043,
-0.06749623268842697,
0.002827129792422056,
-0.03772198036313057,
-0.027049312368035316,
0.048918139189481735,
0.01785263791680336,
-0.04960064962506294,
-0.00852577481418848,
-0.032816074788570404,
0.011829240247607231,
0.011420023627579212,
-0.09551524370908737,
0.05180494114756584,
0.005835441872477531,
0.02536758966743946,
-0.025998320430517197,
0.048297930508852005,
0.029824979603290558,
0.025641055777668953,
0.06975672394037247,
-0.052318233996629715,
-0.045723576098680496,
0.016186600551009178,
-0.04140833765268326,
-0.05782732367515564,
0.02924693375825882,
-0.06102367490530014,
0.0024121133610606194,
-0.05982042849063873,
0.02471224218606949,
0.04185169190168381,
0.03648301586508751,
0.1192714050412178,
-0.018214868381619453,
-0.00982804223895073,
0.04196355864405632,
0.05804211273789406,
-0.05259960517287254,
0.006334695499390364,
-0.047062814235687256,
0.042183104902505875,
0.0055767386220395565,
0.0424140989780426,
-0.041038189083337784,
0.0066428715363144875,
-0.035590942949056625,
-0.11040770262479782,
0.10373646020889282,
-0.017054932191967964,
-0.08165565133094788
] |
1401.6517
|
Jiangcheng Chen
|
Jiangcheng Chen, Xiaodong Zhang, Lei Zhu
|
Kinematics analysis and three-dimensional simulation of the
rehabilitation lower extremity exoskeleton robot
|
The international conference on Soft Computing and Software
Engineering
| null | null | null |
cs.RO
|
http://creativecommons.org/licenses/by/3.0/
|
The kinematics recursive equation was built by using the modified D-H method
after the structure of rehabilitation lower extremity exoskeleton was analyzed.
The numerical algorithm of inverse kinematics was given too. Then the
three-dimensional simulation model of the exoskeleton robot was built using
MATLAB software, based on the model, 3D reappearance of a complete gait was
achieved. Finally, the reliability of numerical algorithm of inverse kinematics
was verified by the simulation result. All jobs above lay a foundation for
developing a three-dimensional simulation platform of exoskeleton robot.
|
[
{
"created": "Sat, 25 Jan 2014 10:37:55 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Chen",
"Jiangcheng",
""
],
[
"Zhang",
"Xiaodong",
""
],
[
"Zhu",
"Lei",
""
]
] |
[
-0.05060720816254616,
-0.013426396064460278,
-0.0571599118411541,
-0.06494245678186417,
-0.06811452656984329,
-0.047088779509067535,
0.04762965813279152,
0.04539800435304642,
0.029367052018642426,
0.06775538623332977,
0.08551599085330963,
0.05162924528121948,
0.09423048794269562,
0.02160189300775528,
-0.01733972318470478,
-0.03766243904829025,
0.006213770247995853,
0.15553240478038788,
-0.03251515328884125,
0.004648702684789896,
0.04868953302502632,
0.05307546630501747,
-0.03363385051488876,
0.031773511320352554,
-0.0347585566341877,
-0.04845891520380974,
-0.0538644902408123,
0.011442307382822037,
-0.053916964679956436,
-0.010108294896781445,
0.027268391102552414,
-0.0735168606042862,
0.0784538984298706,
-0.08238961547613144,
-0.04181850329041481,
0.009320364333689213,
0.01736045815050602,
-0.017313886433839798,
-0.08686581999063492,
0.03142325207591057,
-0.11448992788791656,
0.09981896728277206,
0.027667595073580742,
-0.044149935245513916,
0.0506906732916832,
0.14259549975395203,
-0.051234129816293716,
-0.059915076941251755,
0.03620017692446709,
0.007391441147774458,
0.061162520200014114,
0.03392726182937622,
0.019900508224964142,
-0.004669401329010725,
0.06300929933786392,
-0.029016172513365746,
-0.04295646771788597,
-0.0031093552242964506,
-0.05308651179075241,
0.007519617211073637,
0.11444982141256332,
0.045003462582826614,
0.0051351566798985004,
-0.0682801753282547,
0.025423932820558548,
-0.04598142206668854,
-0.06807690113782883,
-0.08846467733383179,
-0.06031344458460808,
-0.02431446500122547,
-0.07280634343624115,
-0.08759020268917084,
0.0345352403819561,
-0.03358333185315132,
-0.10990035533905029,
-0.004821394570171833,
0.0422293059527874,
0.11310979723930359,
0.015901895239949226,
0.026119571179151535,
0.02100636251270771,
0.012243617326021194,
0.03206738829612732,
0.09592639654874802,
-0.040104277431964874,
0.023168722167611122,
-0.08907577395439148,
0.047196242958307266,
0.05661727488040924,
0.026894135400652885,
0.04566086828708649,
0.06495606154203415,
-0.04808367043733597,
-0.03020462580025196,
0.022597800940275192,
-0.013490448705852032,
0.019836287945508957,
0.027319053187966347,
-0.01668393611907959,
-0.01612764410674572,
-0.022430745884776115,
-0.01587158814072609,
0.06590255349874496,
0.047910213470458984,
0.009608450345695019,
-0.0015081854071468115,
0.06974845379590988,
-0.017385512590408325,
0.05211790278553963,
0.016231998801231384,
-0.05464208871126175,
-0.10209327191114426,
0.02789282612502575,
0.03135880455374718,
-0.008812373504042625,
0.045881081372499466,
-0.07155875116586685,
-0.0631697028875351,
-0.019057074561715126,
-0.015165968798100948,
-0.002627652371302247,
0.009389313869178295,
0.0796627625823021,
0.011164965108036995,
0.003053380874916911,
-0.00465239817276597,
0.034386783838272095,
2.863607461700774e-33,
-0.09555993229150772,
-0.007510799914598465,
0.02261851541697979,
-0.00937129370868206,
0.015446504577994347,
-0.067095547914505,
-0.012492713518440723,
-0.0480138435959816,
0.016937462612986565,
-0.031585078686475754,
-0.07415208965539932,
0.029389524832367897,
0.05415183678269386,
0.033634599298238754,
-0.04941987991333008,
0.07216128706932068,
0.02252306416630745,
0.024572433903813362,
-0.08084894716739655,
0.11501053720712662,
0.17241568863391876,
-0.026369456201791763,
0.04232913628220558,
-0.030070029199123383,
0.009420078247785568,
0.027282211929559708,
-0.023476460948586464,
0.0009411380160599947,
-0.010685657151043415,
-0.009750175289809704,
0.0035387021489441395,
-0.0015553532866761088,
-0.0689852386713028,
-0.01981332153081894,
-0.09239792823791504,
0.03754114359617233,
0.11366604268550873,
0.018113980069756508,
-0.04788949713110924,
-0.05828145146369934,
0.02167326584458351,
0.0289287306368351,
0.07093539834022522,
-0.02698097936809063,
0.01326676458120346,
0.03895561397075653,
0.06253655254840851,
-0.012577302753925323,
0.05147978663444519,
-0.010552714578807354,
-0.009598192758858204,
0.024816522374749184,
0.06276284158229828,
-0.07492077350616455,
-0.04807427152991295,
-0.008192494511604309,
-0.053985074162483215,
0.09097424894571304,
0.014411043375730515,
0.12378140538930893,
-0.02798643708229065,
0.042577389627695084,
0.037207528948783875,
-0.04285265877842903,
0.06681099534034729,
-0.05563642457127571,
0.05304425209760666,
0.030683668330311775,
0.010775252245366573,
0.02914103865623474,
0.004519474692642689,
-0.04978952929377556,
0.044962480664253235,
0.02552672103047371,
-0.027868449687957764,
-0.016873793676495552,
-0.005926887039095163,
-0.08632685244083405,
-0.08364031463861465,
-0.04202532023191452,
-0.04398006573319435,
0.04352632910013199,
-0.0025890697725117207,
0.018491392955183983,
0.08549174666404724,
-0.09572914987802505,
-0.03285825252532959,
0.05665675923228264,
0.007120030000805855,
-0.04581708088517189,
-0.0415155366063118,
-0.04031709209084511,
-0.007629760075360537,
0.056412264704704285,
0.0637526586651802,
-3.5991458684209576e-33,
-0.02728261426091194,
0.09835091978311539,
0.005253226961940527,
-0.012044180184602737,
-0.03145035356283188,
0.0009520364110358059,
0.0039131310768425465,
0.03203558921813965,
-0.010349120944738388,
-0.04623034968972206,
-0.040721673518419266,
-0.05465597286820412,
-0.01604177989065647,
0.12951086461544037,
0.09222095459699631,
0.025203276425600052,
-0.1275954693555832,
-0.056572359055280685,
-0.02970346249639988,
0.005736438557505608,
0.03473329544067383,
0.07939150184392929,
-0.023279862478375435,
-0.0646241307258606,
-0.00373068917542696,
0.004786675795912743,
-0.006139351986348629,
0.020958036184310913,
-0.02006026916205883,
-0.010704495012760162,
-0.06278345733880997,
-0.036953847855329514,
0.04048055782914162,
0.12260083109140396,
0.026931900531053543,
0.005221531726419926,
-0.09226074814796448,
0.0017763014184311032,
0.03581715375185013,
-0.07490396499633789,
0.03028814122080803,
0.051840342581272125,
0.06546875834465027,
-0.05222906917333603,
0.08796897530555725,
-0.04877746105194092,
-0.04556708410382271,
0.020505575463175774,
0.02469075471162796,
-0.03693228214979172,
0.0004433552676346153,
-0.012653321027755737,
0.0396370068192482,
-0.039563026279211044,
0.09385570138692856,
-0.011358607560396194,
-0.040840912610292435,
0.044672656804323196,
-0.031063925474882126,
-0.013027248904109001,
-0.013800183311104774,
-0.024170348420739174,
0.04552564397454262,
0.08307628333568573,
-0.03686096891760826,
0.05495956912636757,
-0.009917790070176125,
0.07698065787553787,
-0.060591552406549454,
-0.04478789120912552,
-0.07158681005239487,
0.041675567626953125,
0.09327243268489838,
0.04310659319162369,
0.050436317920684814,
-0.0886596143245697,
-0.03062971495091915,
0.03308514133095741,
-0.011071759276092052,
-0.033174630254507065,
0.01351199671626091,
-0.008211574517190456,
0.03906213864684105,
0.056867919862270355,
-0.06626076996326447,
-0.03564121574163437,
-0.02590515837073326,
-0.0006611209828406572,
-0.01415226049721241,
-0.03541260585188866,
0.003955461550503969,
0.006796988192945719,
0.07812497764825821,
0.08666764199733734,
0.028283651918172836,
-3.8577599781319805e-8,
-0.02794570103287697,
-0.008841983042657375,
0.06532575935125351,
-0.012658740393817425,
-0.05620753765106201,
0.10684484988451004,
0.0068307421170175076,
-0.005160792730748653,
-0.04658743366599083,
-0.09958209097385406,
-0.022656286135315895,
-0.05813611298799515,
0.037683844566345215,
0.03446988761425018,
-0.0025506033562123775,
0.04327984154224396,
0.04951494559645653,
0.003251162823289633,
0.032870735973119736,
0.030731769278645515,
-0.0023748234380036592,
-0.013388567604124546,
0.03629792481660843,
-0.014932295307517052,
-0.04246941953897476,
-0.01402168720960617,
-0.08249273151159286,
-0.07915482670068741,
-0.04386594891548157,
0.041097890585660934,
0.06419291347265244,
-0.03928472101688385,
0.027666132897138596,
0.05768893286585808,
-0.036009177565574646,
-0.05394933372735977,
-0.04288175702095032,
0.01221987884491682,
-0.06161614507436752,
-0.02490219846367836,
-0.04943861439824104,
0.0484277606010437,
0.06903214752674103,
-0.03170023858547211,
0.026926327496767044,
-0.020707016810774803,
-0.048475902527570724,
-0.11583051085472107,
0.013822953216731548,
-0.02371330000460148,
-0.0018541244789958,
-0.040484409779310226,
-0.00007051269494695589,
-0.05109762027859688,
-0.03653565049171448,
-0.015256860293447971,
-0.03397303819656372,
-0.03998900204896927,
-0.0683126375079155,
0.04563656821846962,
-0.040646992623806,
0.033900730311870575,
0.03753770887851715,
-0.021917525678873062
] | null | null | null | null | null | null | null |
[
-0.05060720816254616,
-0.013426396064460278,
-0.0571599118411541,
-0.06494245678186417,
-0.06811452656984329,
-0.047088779509067535,
0.04762965813279152,
0.04539800435304642,
0.029367052018642426,
0.06775538623332977,
0.08551599085330963,
0.05162924528121948,
0.09423048794269562,
0.02160189300775528,
-0.01733972318470478,
-0.03766243904829025,
0.006213770247995853,
0.15553240478038788,
-0.03251515328884125,
0.004648702684789896,
0.04868953302502632,
0.05307546630501747,
-0.03363385051488876,
0.031773511320352554,
-0.0347585566341877,
-0.04845891520380974,
-0.0538644902408123,
0.011442307382822037,
-0.053916964679956436,
-0.010108294896781445,
0.027268391102552414,
-0.0735168606042862,
0.0784538984298706,
-0.08238961547613144,
-0.04181850329041481,
0.009320364333689213,
0.01736045815050602,
-0.017313886433839798,
-0.08686581999063492,
0.03142325207591057,
-0.11448992788791656,
0.09981896728277206,
0.027667595073580742,
-0.044149935245513916,
0.0506906732916832,
0.14259549975395203,
-0.051234129816293716,
-0.059915076941251755,
0.03620017692446709,
0.007391441147774458,
0.061162520200014114,
0.03392726182937622,
0.019900508224964142,
-0.004669401329010725,
0.06300929933786392,
-0.029016172513365746,
-0.04295646771788597,
-0.0031093552242964506,
-0.05308651179075241,
0.007519617211073637,
0.11444982141256332,
0.045003462582826614,
0.0051351566798985004,
-0.0682801753282547,
0.025423932820558548,
-0.04598142206668854,
-0.06807690113782883,
-0.08846467733383179,
-0.06031344458460808,
-0.02431446500122547,
-0.07280634343624115,
-0.08759020268917084,
0.0345352403819561,
-0.03358333185315132,
-0.10990035533905029,
-0.004821394570171833,
0.0422293059527874,
0.11310979723930359,
0.015901895239949226,
0.026119571179151535,
0.02100636251270771,
0.012243617326021194,
0.03206738829612732,
0.09592639654874802,
-0.040104277431964874,
0.023168722167611122,
-0.08907577395439148,
0.047196242958307266,
0.05661727488040924,
0.026894135400652885,
0.04566086828708649,
0.06495606154203415,
-0.04808367043733597,
-0.03020462580025196,
0.022597800940275192,
-0.013490448705852032,
0.019836287945508957,
0.027319053187966347,
-0.01668393611907959,
-0.01612764410674572,
-0.022430745884776115,
-0.01587158814072609,
0.06590255349874496,
0.047910213470458984,
0.009608450345695019,
-0.0015081854071468115,
0.06974845379590988,
-0.017385512590408325,
0.05211790278553963,
0.016231998801231384,
-0.05464208871126175,
-0.10209327191114426,
0.02789282612502575,
0.03135880455374718,
-0.008812373504042625,
0.045881081372499466,
-0.07155875116586685,
-0.0631697028875351,
-0.019057074561715126,
-0.015165968798100948,
-0.002627652371302247,
0.009389313869178295,
0.0796627625823021,
0.011164965108036995,
0.003053380874916911,
-0.00465239817276597,
0.034386783838272095,
2.863607461700774e-33,
-0.09555993229150772,
-0.007510799914598465,
0.02261851541697979,
-0.00937129370868206,
0.015446504577994347,
-0.067095547914505,
-0.012492713518440723,
-0.0480138435959816,
0.016937462612986565,
-0.031585078686475754,
-0.07415208965539932,
0.029389524832367897,
0.05415183678269386,
0.033634599298238754,
-0.04941987991333008,
0.07216128706932068,
0.02252306416630745,
0.024572433903813362,
-0.08084894716739655,
0.11501053720712662,
0.17241568863391876,
-0.026369456201791763,
0.04232913628220558,
-0.030070029199123383,
0.009420078247785568,
0.027282211929559708,
-0.023476460948586464,
0.0009411380160599947,
-0.010685657151043415,
-0.009750175289809704,
0.0035387021489441395,
-0.0015553532866761088,
-0.0689852386713028,
-0.01981332153081894,
-0.09239792823791504,
0.03754114359617233,
0.11366604268550873,
0.018113980069756508,
-0.04788949713110924,
-0.05828145146369934,
0.02167326584458351,
0.0289287306368351,
0.07093539834022522,
-0.02698097936809063,
0.01326676458120346,
0.03895561397075653,
0.06253655254840851,
-0.012577302753925323,
0.05147978663444519,
-0.010552714578807354,
-0.009598192758858204,
0.024816522374749184,
0.06276284158229828,
-0.07492077350616455,
-0.04807427152991295,
-0.008192494511604309,
-0.053985074162483215,
0.09097424894571304,
0.014411043375730515,
0.12378140538930893,
-0.02798643708229065,
0.042577389627695084,
0.037207528948783875,
-0.04285265877842903,
0.06681099534034729,
-0.05563642457127571,
0.05304425209760666,
0.030683668330311775,
0.010775252245366573,
0.02914103865623474,
0.004519474692642689,
-0.04978952929377556,
0.044962480664253235,
0.02552672103047371,
-0.027868449687957764,
-0.016873793676495552,
-0.005926887039095163,
-0.08632685244083405,
-0.08364031463861465,
-0.04202532023191452,
-0.04398006573319435,
0.04352632910013199,
-0.0025890697725117207,
0.018491392955183983,
0.08549174666404724,
-0.09572914987802505,
-0.03285825252532959,
0.05665675923228264,
0.007120030000805855,
-0.04581708088517189,
-0.0415155366063118,
-0.04031709209084511,
-0.007629760075360537,
0.056412264704704285,
0.0637526586651802,
-3.5991458684209576e-33,
-0.02728261426091194,
0.09835091978311539,
0.005253226961940527,
-0.012044180184602737,
-0.03145035356283188,
0.0009520364110358059,
0.0039131310768425465,
0.03203558921813965,
-0.010349120944738388,
-0.04623034968972206,
-0.040721673518419266,
-0.05465597286820412,
-0.01604177989065647,
0.12951086461544037,
0.09222095459699631,
0.025203276425600052,
-0.1275954693555832,
-0.056572359055280685,
-0.02970346249639988,
0.005736438557505608,
0.03473329544067383,
0.07939150184392929,
-0.023279862478375435,
-0.0646241307258606,
-0.00373068917542696,
0.004786675795912743,
-0.006139351986348629,
0.020958036184310913,
-0.02006026916205883,
-0.010704495012760162,
-0.06278345733880997,
-0.036953847855329514,
0.04048055782914162,
0.12260083109140396,
0.026931900531053543,
0.005221531726419926,
-0.09226074814796448,
0.0017763014184311032,
0.03581715375185013,
-0.07490396499633789,
0.03028814122080803,
0.051840342581272125,
0.06546875834465027,
-0.05222906917333603,
0.08796897530555725,
-0.04877746105194092,
-0.04556708410382271,
0.020505575463175774,
0.02469075471162796,
-0.03693228214979172,
0.0004433552676346153,
-0.012653321027755737,
0.0396370068192482,
-0.039563026279211044,
0.09385570138692856,
-0.011358607560396194,
-0.040840912610292435,
0.044672656804323196,
-0.031063925474882126,
-0.013027248904109001,
-0.013800183311104774,
-0.024170348420739174,
0.04552564397454262,
0.08307628333568573,
-0.03686096891760826,
0.05495956912636757,
-0.009917790070176125,
0.07698065787553787,
-0.060591552406549454,
-0.04478789120912552,
-0.07158681005239487,
0.041675567626953125,
0.09327243268489838,
0.04310659319162369,
0.050436317920684814,
-0.0886596143245697,
-0.03062971495091915,
0.03308514133095741,
-0.011071759276092052,
-0.033174630254507065,
0.01351199671626091,
-0.008211574517190456,
0.03906213864684105,
0.056867919862270355,
-0.06626076996326447,
-0.03564121574163437,
-0.02590515837073326,
-0.0006611209828406572,
-0.01415226049721241,
-0.03541260585188866,
0.003955461550503969,
0.006796988192945719,
0.07812497764825821,
0.08666764199733734,
0.028283651918172836,
-3.8577599781319805e-8,
-0.02794570103287697,
-0.008841983042657375,
0.06532575935125351,
-0.012658740393817425,
-0.05620753765106201,
0.10684484988451004,
0.0068307421170175076,
-0.005160792730748653,
-0.04658743366599083,
-0.09958209097385406,
-0.022656286135315895,
-0.05813611298799515,
0.037683844566345215,
0.03446988761425018,
-0.0025506033562123775,
0.04327984154224396,
0.04951494559645653,
0.003251162823289633,
0.032870735973119736,
0.030731769278645515,
-0.0023748234380036592,
-0.013388567604124546,
0.03629792481660843,
-0.014932295307517052,
-0.04246941953897476,
-0.01402168720960617,
-0.08249273151159286,
-0.07915482670068741,
-0.04386594891548157,
0.041097890585660934,
0.06419291347265244,
-0.03928472101688385,
0.027666132897138596,
0.05768893286585808,
-0.036009177565574646,
-0.05394933372735977,
-0.04288175702095032,
0.01221987884491682,
-0.06161614507436752,
-0.02490219846367836,
-0.04943861439824104,
0.0484277606010437,
0.06903214752674103,
-0.03170023858547211,
0.026926327496767044,
-0.020707016810774803,
-0.048475902527570724,
-0.11583051085472107,
0.013822953216731548,
-0.02371330000460148,
-0.0018541244789958,
-0.040484409779310226,
-0.00007051269494695589,
-0.05109762027859688,
-0.03653565049171448,
-0.015256860293447971,
-0.03397303819656372,
-0.03998900204896927,
-0.0683126375079155,
0.04563656821846962,
-0.040646992623806,
0.033900730311870575,
0.03753770887851715,
-0.021917525678873062
] |
1401.6520
|
Peng Cui
|
Peng Cui
|
Approximation Resistance by Disguising Biased Distributions
|
6 pages, short note
| null | null | null |
cs.CC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short note, the author shows that the gap problem of some 3-XOR is
NP-hard and can be solved by running Charikar\&Wirth's SDP algorithm for two
rounds. To conclude, the author proves that $P=NP$.
|
[
{
"created": "Sat, 25 Jan 2014 11:21:08 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jun 2014 05:52:55 GMT",
"version": "v10"
},
{
"created": "Thu, 7 Aug 2014 07:17:04 GMT",
"version": "v11"
},
{
"created": "Thu, 14 Aug 2014 07:15:49 GMT",
"version": "v12"
},
{
"created": "Fri, 12 Sep 2014 02:07:14 GMT",
"version": "v13"
},
{
"created": "Tue, 30 Sep 2014 07:20:49 GMT",
"version": "v14"
},
{
"created": "Thu, 1 Jan 2015 11:12:18 GMT",
"version": "v15"
},
{
"created": "Sat, 28 Feb 2015 03:30:08 GMT",
"version": "v16"
},
{
"created": "Wed, 29 Apr 2015 08:41:15 GMT",
"version": "v17"
},
{
"created": "Mon, 1 Jun 2015 09:21:10 GMT",
"version": "v18"
},
{
"created": "Thu, 2 Jul 2015 10:30:41 GMT",
"version": "v19"
},
{
"created": "Thu, 6 Feb 2014 04:35:00 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Aug 2015 06:11:00 GMT",
"version": "v20"
},
{
"created": "Wed, 7 Oct 2015 12:42:15 GMT",
"version": "v21"
},
{
"created": "Wed, 14 Oct 2015 03:56:22 GMT",
"version": "v22"
},
{
"created": "Mon, 19 Oct 2015 18:57:42 GMT",
"version": "v23"
},
{
"created": "Mon, 9 Nov 2015 16:39:22 GMT",
"version": "v24"
},
{
"created": "Wed, 12 Feb 2014 03:29:43 GMT",
"version": "v3"
},
{
"created": "Fri, 14 Feb 2014 09:54:46 GMT",
"version": "v4"
},
{
"created": "Sat, 22 Feb 2014 11:12:49 GMT",
"version": "v5"
},
{
"created": "Mon, 31 Mar 2014 11:07:26 GMT",
"version": "v6"
},
{
"created": "Mon, 7 Apr 2014 09:02:37 GMT",
"version": "v7"
},
{
"created": "Mon, 14 Apr 2014 00:59:14 GMT",
"version": "v8"
},
{
"created": "Thu, 1 May 2014 03:39:32 GMT",
"version": "v9"
}
] |
2015-11-10
|
[
[
"Cui",
"Peng",
""
]
] |
[
-0.06295577436685562,
-0.000733706692699343,
-0.05914793908596039,
-0.032528042793273926,
0.09907671809196472,
-0.04149475693702698,
0.016200551763176918,
-0.035932447761297226,
-0.01315311249345541,
0.016195280477404594,
0.0411197766661644,
-0.027672968804836273,
-0.03135398402810097,
-0.05523507669568062,
0.0739036425948143,
0.008114526979625225,
-0.10656751692295074,
-0.03341590613126755,
0.037491705268621445,
0.060290515422821045,
-0.059803444892168045,
-0.021060986444354057,
-0.006710311863571405,
-0.019227467477321625,
0.045187175273895264,
0.01644880324602127,
0.11186214536428452,
-0.05252300575375557,
0.055126894265413284,
0.0294081661850214,
-0.006008076947182417,
0.004846218507736921,
0.06818367540836334,
-0.03386351093649864,
0.09861332923173904,
0.06282331794500351,
-0.04685727506875992,
0.06872406601905823,
-0.07763002067804337,
0.05134333670139313,
0.06706669926643372,
-0.031821951270103455,
-0.011292916722595692,
-0.022043969482183456,
-0.006140785291790962,
0.09856704622507095,
-0.07024703174829483,
0.028601624071598053,
-0.008036739192903042,
-0.10884048789739609,
-0.029303234070539474,
0.024163788184523582,
-0.01825617253780365,
0.018086764961481094,
-0.04833370819687843,
-0.10858209431171417,
0.04991842433810234,
0.010017627850174904,
-0.06204727664589882,
0.029516251757740974,
0.04050116613507271,
0.007900523953139782,
0.007631455082446337,
-0.0000741851472412236,
0.08819042891263962,
0.0491839200258255,
0.041860777884721756,
-0.05830053240060806,
-0.039121028035879135,
0.04037882760167122,
-0.03124096803367138,
0.018444502726197243,
-0.0924457535147667,
-0.03746438026428223,
0.01654231920838356,
-0.027728121727705002,
0.1613640934228897,
-0.0036822177935391665,
0.010607089847326279,
0.00015397749666590244,
-0.010105034336447716,
-0.015714799985289574,
-0.0435771644115448,
0.05550744757056236,
0.017908500507473946,
-0.04851015657186508,
-0.055489398539066315,
-0.04147264361381531,
-0.02743452414870262,
-0.015401688404381275,
-0.03200549632310867,
-0.024590810760855675,
-0.0998987928032875,
0.08465196192264557,
0.018168877810239792,
-0.018998578190803528,
0.10003378242254257,
0.028156684711575508,
0.024767709895968437,
0.04861246794462204,
0.005888678133487701,
0.01133575290441513,
0.030468102544546127,
-0.09025914967060089,
-0.017926564440131187,
0.025939611718058586,
0.054213330149650574,
-0.013194499537348747,
-0.06777842342853546,
0.031001316383481026,
0.02874928154051304,
-0.09518299251794815,
-0.000482912000734359,
0.011708401143550873,
0.01637408696115017,
0.0065320683643221855,
0.0010448112152516842,
0.05205323174595833,
0.055077359080314636,
-0.02659321390092373,
-0.04576747864484787,
-0.03688788041472435,
-0.022449534386396408,
0.004364531021565199,
0.005038415547460318,
-0.032264452427625656,
0.04914545267820358,
1.0395610106126636e-33,
0.006336377002298832,
0.048564016819000244,
-0.039423637092113495,
-0.04204634949564934,
-0.024296484887599945,
0.08750130236148834,
0.050768956542015076,
-0.029319101944565773,
-0.007901777513325214,
0.02590954303741455,
-0.06312606483697891,
-0.14962178468704224,
0.031394075602293015,
-0.019271284341812134,
0.10036446154117584,
-0.052748244255781174,
-0.028104208409786224,
-0.026151131838560104,
-0.02428458258509636,
-0.05244443565607071,
0.06078113615512848,
-0.05204791948199272,
-0.015118188224732876,
-0.02439139597117901,
-0.03934284672141075,
0.0059325178153812885,
0.026442190632224083,
-0.17878936231136322,
0.044565197080373764,
-0.011746341362595558,
-0.048805590718984604,
0.03601507842540741,
0.028980476781725883,
0.1649114340543747,
-0.0162408035248518,
0.03034353442490101,
-0.034345682710409164,
-0.06656867265701294,
-0.08288531750440598,
0.0251444261521101,
-0.07511623948812485,
0.019880669191479683,
0.03065413422882557,
-0.08705411851406097,
-0.032881032675504684,
-0.04686820134520531,
0.02797546051442623,
-0.04754669964313507,
-0.0360029973089695,
-0.01951056718826294,
0.0359770692884922,
0.09167215973138809,
-0.05615251138806343,
-0.0066614579409360886,
0.08677002787590027,
-0.0826784074306488,
-0.005634956527501345,
0.030926404520869255,
0.005268191918730736,
0.0582529678940773,
0.02392234280705452,
-0.014890647493302822,
0.057648468762636185,
0.016134127974510193,
-0.01740003563463688,
0.11570432782173157,
-0.0535234659910202,
-0.11079595237970352,
0.12710733711719513,
0.013954062946140766,
-0.06619222462177277,
-0.003137226914986968,
0.037643902003765106,
-0.06464169174432755,
0.05360737815499306,
0.023583268746733665,
0.0277471374720335,
-0.0361725352704525,
0.059801649302244186,
-0.01471696887165308,
-0.01832655817270279,
-0.01036178320646286,
0.031086500734090805,
-0.043426819145679474,
-0.13167843222618103,
-0.05737099424004555,
0.014948069117963314,
-0.001377227483317256,
-0.05006686970591545,
-0.05002836510539055,
0.05601854994893074,
-0.045718077570199966,
-0.00006231677980395034,
0.10241445899009705,
0.027069007977843285,
-1.9607401892059224e-33,
-0.010435517877340317,
-0.014405486173927784,
0.06974338740110397,
0.025118494406342506,
0.04816456884145737,
-0.07459817826747894,
-0.07166021317243576,
-0.018624428659677505,
0.02496335096657276,
0.028955655172467232,
-0.02175566367805004,
-0.023986905813217163,
0.03646286204457283,
-0.0041594794020056725,
0.07221489399671555,
0.03613341972231865,
0.08804252743721008,
0.045789383351802826,
-0.007488205563277006,
0.04344213381409645,
0.1588720679283142,
0.026480374857783318,
-0.011677387170493603,
-0.052845537662506104,
-0.008949657902121544,
0.03225032240152359,
-0.023146551102399826,
-0.06944844126701355,
-0.019382035359740257,
-0.011722780764102936,
-0.03620932623744011,
-0.05513921007514,
-0.09657368808984756,
-0.022177400067448616,
0.024858994409441948,
-0.03753746300935745,
-0.08490648120641708,
0.0621013343334198,
-0.020609259605407715,
0.08047172427177429,
0.05353594198822975,
-0.001258708885870874,
-0.028897540643811226,
0.025397609919309616,
0.02496514841914177,
0.06685762852430344,
0.0469430573284626,
0.03184167295694351,
0.0009894042741507292,
0.01389473769813776,
0.007973160594701767,
-0.0018583975033834577,
0.02618326246738434,
0.007782646920531988,
0.06899754703044891,
0.06250889599323273,
-0.13255912065505981,
0.062264248728752136,
-0.025179220363497734,
-0.04499436914920807,
-0.039024725556373596,
-0.03501424565911293,
0.027814814820885658,
0.06254232674837112,
0.05583547055721283,
-0.005486101843416691,
-0.006556392181664705,
-0.0174469705671072,
0.02336958609521389,
0.02811749465763569,
-0.012180262245237827,
0.019950062036514282,
0.003086625598371029,
0.06498464196920395,
-0.04939131811261177,
0.006332762539386749,
0.021511172875761986,
-0.0509001724421978,
0.040813036262989044,
-0.0495300367474556,
0.009643635712563992,
0.008328022435307503,
0.04381630942225456,
-0.03868791088461876,
0.005220003426074982,
0.0030483058653771877,
0.0699499174952507,
-0.04793567955493927,
0.007725638337433338,
-0.08423745632171631,
0.02898239903151989,
0.07161591947078705,
0.07092232257127762,
0.017767759039998055,
0.03533628582954407,
-3.4527438685927336e-8,
0.050355590879917145,
-0.05835053697228432,
-0.09680517762899399,
-0.015406892634928226,
0.10194981098175049,
-0.05761957913637161,
-0.01604444719851017,
0.021600235253572464,
-0.0307034682482481,
0.1145598366856575,
0.08436676114797592,
-0.0028141019865870476,
-0.0004148532170802355,
-0.043775614351034164,
0.002361580263823271,
-0.02460392937064171,
0.02856639213860035,
-0.017302988097071648,
-0.030255315825343132,
-0.1019914522767067,
0.00445907237008214,
-0.01899118721485138,
-0.01370792556554079,
-0.049751222133636475,
-0.06038933992385864,
0.03736089915037155,
-0.02709430828690529,
-0.05580414459109306,
0.04317253455519676,
-0.028819618746638298,
-0.02640492282807827,
0.031023312360048294,
0.07481367886066437,
-0.008691839873790741,
0.056108083575963974,
0.11031191796064377,
-0.03682704642415047,
-0.014424827881157398,
-0.01606290601193905,
0.01591869816184044,
-0.003601159667596221,
0.03384257107973099,
0.029786374419927597,
0.0193992480635643,
-0.0030298822093755007,
0.015845248475670815,
-0.05136941745877266,
-0.023776892572641373,
-0.10185316950082779,
-0.056281741708517075,
0.00012218179472256452,
0.04170411452651024,
0.026595747098326683,
-0.03568951413035393,
0.024191364645957947,
0.017748506739735603,
-0.04961160942912102,
-0.042220521718263626,
-0.02789817377924919,
-0.05873497575521469,
-0.054975248873233795,
0.000010094864592247177,
0.027680519968271255,
0.05211399123072624
] | null | null | null | null | null | null | null |
[
-0.06295577436685562,
-0.000733706692699343,
-0.05914793908596039,
-0.032528042793273926,
0.09907671809196472,
-0.04149475693702698,
0.016200551763176918,
-0.035932447761297226,
-0.01315311249345541,
0.016195280477404594,
0.0411197766661644,
-0.027672968804836273,
-0.03135398402810097,
-0.05523507669568062,
0.0739036425948143,
0.008114526979625225,
-0.10656751692295074,
-0.03341590613126755,
0.037491705268621445,
0.060290515422821045,
-0.059803444892168045,
-0.021060986444354057,
-0.006710311863571405,
-0.019227467477321625,
0.045187175273895264,
0.01644880324602127,
0.11186214536428452,
-0.05252300575375557,
0.055126894265413284,
0.0294081661850214,
-0.006008076947182417,
0.004846218507736921,
0.06818367540836334,
-0.03386351093649864,
0.09861332923173904,
0.06282331794500351,
-0.04685727506875992,
0.06872406601905823,
-0.07763002067804337,
0.05134333670139313,
0.06706669926643372,
-0.031821951270103455,
-0.011292916722595692,
-0.022043969482183456,
-0.006140785291790962,
0.09856704622507095,
-0.07024703174829483,
0.028601624071598053,
-0.008036739192903042,
-0.10884048789739609,
-0.029303234070539474,
0.024163788184523582,
-0.01825617253780365,
0.018086764961481094,
-0.04833370819687843,
-0.10858209431171417,
0.04991842433810234,
0.010017627850174904,
-0.06204727664589882,
0.029516251757740974,
0.04050116613507271,
0.007900523953139782,
0.007631455082446337,
-0.0000741851472412236,
0.08819042891263962,
0.0491839200258255,
0.041860777884721756,
-0.05830053240060806,
-0.039121028035879135,
0.04037882760167122,
-0.03124096803367138,
0.018444502726197243,
-0.0924457535147667,
-0.03746438026428223,
0.01654231920838356,
-0.027728121727705002,
0.1613640934228897,
-0.0036822177935391665,
0.010607089847326279,
0.00015397749666590244,
-0.010105034336447716,
-0.015714799985289574,
-0.0435771644115448,
0.05550744757056236,
0.017908500507473946,
-0.04851015657186508,
-0.055489398539066315,
-0.04147264361381531,
-0.02743452414870262,
-0.015401688404381275,
-0.03200549632310867,
-0.024590810760855675,
-0.0998987928032875,
0.08465196192264557,
0.018168877810239792,
-0.018998578190803528,
0.10003378242254257,
0.028156684711575508,
0.024767709895968437,
0.04861246794462204,
0.005888678133487701,
0.01133575290441513,
0.030468102544546127,
-0.09025914967060089,
-0.017926564440131187,
0.025939611718058586,
0.054213330149650574,
-0.013194499537348747,
-0.06777842342853546,
0.031001316383481026,
0.02874928154051304,
-0.09518299251794815,
-0.000482912000734359,
0.011708401143550873,
0.01637408696115017,
0.0065320683643221855,
0.0010448112152516842,
0.05205323174595833,
0.055077359080314636,
-0.02659321390092373,
-0.04576747864484787,
-0.03688788041472435,
-0.022449534386396408,
0.004364531021565199,
0.005038415547460318,
-0.032264452427625656,
0.04914545267820358,
1.0395610106126636e-33,
0.006336377002298832,
0.048564016819000244,
-0.039423637092113495,
-0.04204634949564934,
-0.024296484887599945,
0.08750130236148834,
0.050768956542015076,
-0.029319101944565773,
-0.007901777513325214,
0.02590954303741455,
-0.06312606483697891,
-0.14962178468704224,
0.031394075602293015,
-0.019271284341812134,
0.10036446154117584,
-0.052748244255781174,
-0.028104208409786224,
-0.026151131838560104,
-0.02428458258509636,
-0.05244443565607071,
0.06078113615512848,
-0.05204791948199272,
-0.015118188224732876,
-0.02439139597117901,
-0.03934284672141075,
0.0059325178153812885,
0.026442190632224083,
-0.17878936231136322,
0.044565197080373764,
-0.011746341362595558,
-0.048805590718984604,
0.03601507842540741,
0.028980476781725883,
0.1649114340543747,
-0.0162408035248518,
0.03034353442490101,
-0.034345682710409164,
-0.06656867265701294,
-0.08288531750440598,
0.0251444261521101,
-0.07511623948812485,
0.019880669191479683,
0.03065413422882557,
-0.08705411851406097,
-0.032881032675504684,
-0.04686820134520531,
0.02797546051442623,
-0.04754669964313507,
-0.0360029973089695,
-0.01951056718826294,
0.0359770692884922,
0.09167215973138809,
-0.05615251138806343,
-0.0066614579409360886,
0.08677002787590027,
-0.0826784074306488,
-0.005634956527501345,
0.030926404520869255,
0.005268191918730736,
0.0582529678940773,
0.02392234280705452,
-0.014890647493302822,
0.057648468762636185,
0.016134127974510193,
-0.01740003563463688,
0.11570432782173157,
-0.0535234659910202,
-0.11079595237970352,
0.12710733711719513,
0.013954062946140766,
-0.06619222462177277,
-0.003137226914986968,
0.037643902003765106,
-0.06464169174432755,
0.05360737815499306,
0.023583268746733665,
0.0277471374720335,
-0.0361725352704525,
0.059801649302244186,
-0.01471696887165308,
-0.01832655817270279,
-0.01036178320646286,
0.031086500734090805,
-0.043426819145679474,
-0.13167843222618103,
-0.05737099424004555,
0.014948069117963314,
-0.001377227483317256,
-0.05006686970591545,
-0.05002836510539055,
0.05601854994893074,
-0.045718077570199966,
-0.00006231677980395034,
0.10241445899009705,
0.027069007977843285,
-1.9607401892059224e-33,
-0.010435517877340317,
-0.014405486173927784,
0.06974338740110397,
0.025118494406342506,
0.04816456884145737,
-0.07459817826747894,
-0.07166021317243576,
-0.018624428659677505,
0.02496335096657276,
0.028955655172467232,
-0.02175566367805004,
-0.023986905813217163,
0.03646286204457283,
-0.0041594794020056725,
0.07221489399671555,
0.03613341972231865,
0.08804252743721008,
0.045789383351802826,
-0.007488205563277006,
0.04344213381409645,
0.1588720679283142,
0.026480374857783318,
-0.011677387170493603,
-0.052845537662506104,
-0.008949657902121544,
0.03225032240152359,
-0.023146551102399826,
-0.06944844126701355,
-0.019382035359740257,
-0.011722780764102936,
-0.03620932623744011,
-0.05513921007514,
-0.09657368808984756,
-0.022177400067448616,
0.024858994409441948,
-0.03753746300935745,
-0.08490648120641708,
0.0621013343334198,
-0.020609259605407715,
0.08047172427177429,
0.05353594198822975,
-0.001258708885870874,
-0.028897540643811226,
0.025397609919309616,
0.02496514841914177,
0.06685762852430344,
0.0469430573284626,
0.03184167295694351,
0.0009894042741507292,
0.01389473769813776,
0.007973160594701767,
-0.0018583975033834577,
0.02618326246738434,
0.007782646920531988,
0.06899754703044891,
0.06250889599323273,
-0.13255912065505981,
0.062264248728752136,
-0.025179220363497734,
-0.04499436914920807,
-0.039024725556373596,
-0.03501424565911293,
0.027814814820885658,
0.06254232674837112,
0.05583547055721283,
-0.005486101843416691,
-0.006556392181664705,
-0.0174469705671072,
0.02336958609521389,
0.02811749465763569,
-0.012180262245237827,
0.019950062036514282,
0.003086625598371029,
0.06498464196920395,
-0.04939131811261177,
0.006332762539386749,
0.021511172875761986,
-0.0509001724421978,
0.040813036262989044,
-0.0495300367474556,
0.009643635712563992,
0.008328022435307503,
0.04381630942225456,
-0.03868791088461876,
0.005220003426074982,
0.0030483058653771877,
0.0699499174952507,
-0.04793567955493927,
0.007725638337433338,
-0.08423745632171631,
0.02898239903151989,
0.07161591947078705,
0.07092232257127762,
0.017767759039998055,
0.03533628582954407,
-3.4527438685927336e-8,
0.050355590879917145,
-0.05835053697228432,
-0.09680517762899399,
-0.015406892634928226,
0.10194981098175049,
-0.05761957913637161,
-0.01604444719851017,
0.021600235253572464,
-0.0307034682482481,
0.1145598366856575,
0.08436676114797592,
-0.0028141019865870476,
-0.0004148532170802355,
-0.043775614351034164,
0.002361580263823271,
-0.02460392937064171,
0.02856639213860035,
-0.017302988097071648,
-0.030255315825343132,
-0.1019914522767067,
0.00445907237008214,
-0.01899118721485138,
-0.01370792556554079,
-0.049751222133636475,
-0.06038933992385864,
0.03736089915037155,
-0.02709430828690529,
-0.05580414459109306,
0.04317253455519676,
-0.028819618746638298,
-0.02640492282807827,
0.031023312360048294,
0.07481367886066437,
-0.008691839873790741,
0.056108083575963974,
0.11031191796064377,
-0.03682704642415047,
-0.014424827881157398,
-0.01606290601193905,
0.01591869816184044,
-0.003601159667596221,
0.03384257107973099,
0.029786374419927597,
0.0193992480635643,
-0.0030298822093755007,
0.015845248475670815,
-0.05136941745877266,
-0.023776892572641373,
-0.10185316950082779,
-0.056281741708517075,
0.00012218179472256452,
0.04170411452651024,
0.026595747098326683,
-0.03568951413035393,
0.024191364645957947,
0.017748506739735603,
-0.04961160942912102,
-0.042220521718263626,
-0.02789817377924919,
-0.05873497575521469,
-0.054975248873233795,
0.000010094864592247177,
0.027680519968271255,
0.05211399123072624
] |
1401.6523
|
Haris Aziz
|
Haris Aziz and Serge Gaspers and Nick Mattei and Nina Narodytska and
Toby Walsh
|
Strategic aspects of the probabilistic serial rule for the allocation of
goods
|
28 pages
| null | null | null |
cs.GT cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The probabilistic serial (PS) rule is one of the most prominent randomized
rules for the assignment problem. It is well-known for its superior fairness
and welfare properties. However, PS is not immune to manipulative behaviour by
the agents. We examine computational and non-computational aspects of
strategising under the PS rule. Firstly, we study the computational complexity
of an agent manipulating the PS rule. We present polynomial-time algorithms for
optimal manipulation. Secondly, we show that expected utility best responses
can cycle. Thirdly, we examine the existence and computation of Nash
equilibrium profiles under the PS rule. We show that a pure Nash equilibrium is
guaranteed to exist under the PS rule. For two agents, we identify two
different types of preference profiles that are not only in Nash equilibrium
but can also be computed in linear time. Finally, we conduct experiments to
check the frequency of manipulability of the PS rule under different
combinations of the number of agents, objects, and utility functions.
|
[
{
"created": "Sat, 25 Jan 2014 12:11:09 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Aziz",
"Haris",
""
],
[
"Gaspers",
"Serge",
""
],
[
"Mattei",
"Nick",
""
],
[
"Narodytska",
"Nina",
""
],
[
"Walsh",
"Toby",
""
]
] |
[
-0.027211444452404976,
-0.01830487698316574,
-0.08019626140594482,
-0.06611444056034088,
-0.01924610137939453,
0.014298329129815102,
0.028065722435712814,
-0.03070192225277424,
0.055945973843336105,
0.11395798623561859,
-0.01890188828110695,
0.047944143414497375,
0.07812191545963287,
0.033501822501420975,
0.018069474026560783,
-0.005614880938082933,
0.07083751261234283,
0.09016245603561401,
-0.01395026408135891,
0.042779143899679184,
0.03772098198533058,
-0.09121093899011612,
-0.0065917205065488815,
-0.12138824909925461,
-0.0687342956662178,
-0.0419781357049942,
-0.04287249967455864,
-0.052956171333789825,
-0.032769713550806046,
-0.019013695418834686,
-0.017364785075187683,
-0.03685902804136276,
0.09497985243797302,
-0.049159660935401917,
-0.03821836784482002,
-0.004470451269298792,
-0.0691232904791832,
-0.0746358335018158,
-0.006669608876109123,
0.008920404128730297,
0.025316596031188965,
0.005876561626791954,
-0.07957617193460464,
0.012942024506628513,
-0.01498213317245245,
0.021273493766784668,
0.057863909751176834,
0.02597871981561184,
-0.07581814378499985,
-0.024650894105434418,
-0.04714491590857506,
0.03521743044257164,
-0.022355549037456512,
0.027681048959493637,
0.04875384643673897,
0.006444449536502361,
0.04370076209306717,
0.02606075443327427,
0.0401105098426342,
-0.04624837636947632,
-0.049197785556316376,
-0.11078070104122162,
-0.05910426005721092,
-0.003528611734509468,
0.0698934942483902,
-0.007365649100393057,
0.007185559719800949,
0.016446901485323906,
-0.044767919927835464,
0.039015352725982666,
0.013472565449774265,
0.0521516390144825,
-0.029575446620583534,
0.038878198713064194,
0.08681730180978775,
0.011313875205814838,
0.000556994928047061,
-0.0618305578827858,
-0.08046568930149078,
0.024658119305968285,
-0.07210181653499603,
-0.08656683564186096,
-0.014608950354158878,
-0.004244221840053797,
0.034491393715143204,
-0.07162385433912277,
0.01671730726957321,
0.044455330818891525,
0.1754075139760971,
0.041223544627428055,
-0.07647310197353363,
0.06567427515983582,
0.009246142581105232,
-0.06711496412754059,
-0.0504085011780262,
0.04120727628469467,
-0.012437202036380768,
-0.02526506595313549,
0.03922252729535103,
0.08042559772729874,
-0.02787085995078087,
0.002087355125695467,
-0.047439370304346085,
0.019899068400263786,
0.0365784652531147,
0.019058002158999443,
-0.03534217178821564,
-0.009978300891816616,
-0.021897055208683014,
-0.024130001664161682,
-0.005756792612373829,
0.027236048132181168,
0.031791914254426956,
0.0205606147646904,
-0.032138705253601074,
0.010978187434375286,
0.009687468409538269,
0.05993235111236572,
-0.034247465431690216,
-0.007230562157928944,
0.04518163576722145,
-0.0262715145945549,
0.07603911310434341,
0.035355791449546814,
-0.0031287395395338535,
0.06736370921134949,
0.019399063661694527,
-3.078154787604271e-34,
-0.03139514476060867,
-0.02521136775612831,
0.025591140612959862,
-0.10237244516611099,
0.04162957891821861,
-0.037941187620162964,
0.07389210909605026,
0.02232256531715393,
-0.010204954072833061,
0.0018716035410761833,
0.04143625497817993,
0.04458487406373024,
-0.01862647384405136,
0.11748405545949936,
0.06762626767158508,
-0.02064507268369198,
0.049115099012851715,
0.03838050737977028,
0.006926840636879206,
-0.0632181465625763,
0.08704747259616852,
0.022698916494846344,
0.012022757902741432,
-0.049815744161605835,
-0.0488479845225811,
-0.010666446760296822,
-0.016599789261817932,
-0.04785795509815216,
0.10508864372968674,
0.012916166335344315,
-0.040898971259593964,
0.04706215858459473,
0.030689571052789688,
0.05064880847930908,
-0.0160042904317379,
0.09447123110294342,
-0.07193740457296371,
0.00949727464467287,
-0.024216577410697937,
0.017547328025102615,
0.01150431763380766,
-0.03249257057905197,
0.028068682178854942,
0.033676717430353165,
-0.11771050095558167,
-0.08680424839258194,
0.03745858371257782,
-0.007826860062777996,
-0.07563349604606628,
-0.027661776170134544,
0.028245288878679276,
0.014915591105818748,
0.04429091140627861,
-0.01640661060810089,
-0.02762128971517086,
-0.013520339503884315,
-0.025167012587189674,
0.0289556086063385,
-0.028340769931674004,
0.08642567694187164,
0.019212471321225166,
-0.03411966934800148,
-0.006582585629075766,
0.012177878990769386,
-0.03797081485390663,
0.08020590990781784,
-0.03600705787539482,
-0.0029000083450227976,
0.11441744863986969,
-0.024690542370080948,
-0.000524637580383569,
0.07502788305282593,
-0.04798373207449913,
-0.04520544037222862,
-0.02720857784152031,
0.06470195949077606,
0.04963434487581253,
0.011770854704082012,
-0.06145484000444412,
-0.07186056673526764,
-0.06513136625289917,
0.05034194514155388,
-0.038894303143024445,
-0.00833337102085352,
-0.06986041367053986,
-0.042288780212402344,
-0.007313176989555359,
-0.02202567458152771,
-0.022510550916194916,
0.042265117168426514,
0.01668938808143139,
-0.007841982878744602,
-0.03796614706516266,
0.07564779371023178,
0.05307164415717125,
-2.796399306876479e-33,
-0.08427990227937698,
-0.059406038373708725,
0.020678380504250526,
0.07157745957374573,
-0.014860198833048344,
-0.02272525243461132,
-0.10171012580394745,
-0.09728962928056717,
0.018740715458989143,
0.030216580256819725,
-0.13891051709651947,
-0.013349783606827259,
0.06731846928596497,
-0.04298419505357742,
0.0008501217234879732,
-0.04370667412877083,
0.01938324235379696,
0.05712581425905228,
0.0000050900725909741595,
-0.07630063593387604,
0.044129833579063416,
0.13295549154281616,
-0.04169785603880882,
0.014314725063741207,
0.0029273605905473232,
0.025200193747878075,
-0.020014474168419838,
-0.07010070234537125,
-0.03050558641552925,
0.06253478676080704,
-0.09891342371702194,
-0.037399280816316605,
-0.054927997291088104,
0.021341705694794655,
0.04350071772933006,
0.04234471172094345,
-0.047800492495298386,
0.09110064804553986,
-0.006183627527207136,
0.1394425332546234,
-0.003266358282417059,
-0.0365474596619606,
-0.007657378446310759,
-0.012375684455037117,
0.08610367774963379,
-0.031893204897642136,
-0.04394642263650894,
0.0009432938531972468,
0.1228119432926178,
0.006404314190149307,
0.02162022516131401,
0.10105415433645248,
-0.0561274029314518,
0.026768183335661888,
-0.04662465304136276,
-0.05594179034233093,
-0.01190442219376564,
0.022835401818156242,
0.14645907282829285,
-0.00189587299246341,
-0.02419678121805191,
0.026215611025691032,
-0.0707160234451294,
0.08761348575353622,
-0.0035348734818398952,
-0.04091328755021095,
0.028909100219607353,
-0.0865861251950264,
0.0804494172334671,
-0.02583164907991886,
0.03170499578118324,
0.02581033483147621,
0.007823322899639606,
-0.02066502906382084,
0.026521308347582817,
0.06930391490459442,
-0.04287074878811836,
0.03304551541805267,
-0.0882885530591011,
0.025659268721938133,
-0.0015690537402406335,
0.041388917714357376,
0.021305399015545845,
-0.03590232506394386,
-0.1050814762711525,
-0.012327957898378372,
0.11606619507074356,
-0.04217153787612915,
-0.010935205966234207,
-0.043036606162786484,
0.033737216144800186,
0.00755567941814661,
0.020623808726668358,
0.015045678243041039,
-0.09855575859546661,
-5.28538137700707e-8,
0.02592659369111061,
-0.05694124102592468,
0.012081989087164402,
0.10420303046703339,
0.0069642458111047745,
0.020241612568497658,
0.04181617125868797,
-0.029714005067944527,
-0.07504633814096451,
-0.009539473801851273,
0.087856724858284,
0.04501635953783989,
0.09903362393379211,
-0.04907485842704773,
0.009087295271456242,
-0.005645794793963432,
-0.007236409932374954,
-0.038530245423316956,
-0.03830460458993912,
-0.010265425778925419,
-0.04459551349282265,
0.0006013881065882742,
0.006288193631917238,
-0.04741251841187477,
-0.05011437088251114,
-0.03200232610106468,
-0.031933292746543884,
-0.01436910405755043,
0.007392328232526779,
0.11266739666461945,
0.03205352649092674,
-0.02891172282397747,
0.013507488183677197,
-0.03872910514473915,
0.054521627724170685,
0.004809316713362932,
-0.03769844397902489,
-0.021226510405540466,
0.006294809747487307,
-0.02423711121082306,
0.06111752614378929,
0.0142355402931571,
-0.07847028970718384,
0.03926008194684982,
0.07404082268476486,
0.02796093560755253,
-0.052786629647016525,
-0.09948553889989853,
-0.024748122319579124,
-0.03937208279967308,
0.046232692897319794,
0.006328789982944727,
-0.024838240817189217,
-0.05970120429992676,
-0.011510206386446953,
0.05693370848894119,
-0.007497127633541822,
-0.0723511353135109,
-0.008089663460850716,
-0.0077788326889276505,
0.043029654771089554,
0.06625544279813766,
0.002048624912276864,
-0.08197589963674545
] | null | null | null | null | null | null | null |
[
-0.027211444452404976,
-0.01830487698316574,
-0.08019626140594482,
-0.06611444056034088,
-0.01924610137939453,
0.014298329129815102,
0.028065722435712814,
-0.03070192225277424,
0.055945973843336105,
0.11395798623561859,
-0.01890188828110695,
0.047944143414497375,
0.07812191545963287,
0.033501822501420975,
0.018069474026560783,
-0.005614880938082933,
0.07083751261234283,
0.09016245603561401,
-0.01395026408135891,
0.042779143899679184,
0.03772098198533058,
-0.09121093899011612,
-0.0065917205065488815,
-0.12138824909925461,
-0.0687342956662178,
-0.0419781357049942,
-0.04287249967455864,
-0.052956171333789825,
-0.032769713550806046,
-0.019013695418834686,
-0.017364785075187683,
-0.03685902804136276,
0.09497985243797302,
-0.049159660935401917,
-0.03821836784482002,
-0.004470451269298792,
-0.0691232904791832,
-0.0746358335018158,
-0.006669608876109123,
0.008920404128730297,
0.025316596031188965,
0.005876561626791954,
-0.07957617193460464,
0.012942024506628513,
-0.01498213317245245,
0.021273493766784668,
0.057863909751176834,
0.02597871981561184,
-0.07581814378499985,
-0.024650894105434418,
-0.04714491590857506,
0.03521743044257164,
-0.022355549037456512,
0.027681048959493637,
0.04875384643673897,
0.006444449536502361,
0.04370076209306717,
0.02606075443327427,
0.0401105098426342,
-0.04624837636947632,
-0.049197785556316376,
-0.11078070104122162,
-0.05910426005721092,
-0.003528611734509468,
0.0698934942483902,
-0.007365649100393057,
0.007185559719800949,
0.016446901485323906,
-0.044767919927835464,
0.039015352725982666,
0.013472565449774265,
0.0521516390144825,
-0.029575446620583534,
0.038878198713064194,
0.08681730180978775,
0.011313875205814838,
0.000556994928047061,
-0.0618305578827858,
-0.08046568930149078,
0.024658119305968285,
-0.07210181653499603,
-0.08656683564186096,
-0.014608950354158878,
-0.004244221840053797,
0.034491393715143204,
-0.07162385433912277,
0.01671730726957321,
0.044455330818891525,
0.1754075139760971,
0.041223544627428055,
-0.07647310197353363,
0.06567427515983582,
0.009246142581105232,
-0.06711496412754059,
-0.0504085011780262,
0.04120727628469467,
-0.012437202036380768,
-0.02526506595313549,
0.03922252729535103,
0.08042559772729874,
-0.02787085995078087,
0.002087355125695467,
-0.047439370304346085,
0.019899068400263786,
0.0365784652531147,
0.019058002158999443,
-0.03534217178821564,
-0.009978300891816616,
-0.021897055208683014,
-0.024130001664161682,
-0.005756792612373829,
0.027236048132181168,
0.031791914254426956,
0.0205606147646904,
-0.032138705253601074,
0.010978187434375286,
0.009687468409538269,
0.05993235111236572,
-0.034247465431690216,
-0.007230562157928944,
0.04518163576722145,
-0.0262715145945549,
0.07603911310434341,
0.035355791449546814,
-0.0031287395395338535,
0.06736370921134949,
0.019399063661694527,
-3.078154787604271e-34,
-0.03139514476060867,
-0.02521136775612831,
0.025591140612959862,
-0.10237244516611099,
0.04162957891821861,
-0.037941187620162964,
0.07389210909605026,
0.02232256531715393,
-0.010204954072833061,
0.0018716035410761833,
0.04143625497817993,
0.04458487406373024,
-0.01862647384405136,
0.11748405545949936,
0.06762626767158508,
-0.02064507268369198,
0.049115099012851715,
0.03838050737977028,
0.006926840636879206,
-0.0632181465625763,
0.08704747259616852,
0.022698916494846344,
0.012022757902741432,
-0.049815744161605835,
-0.0488479845225811,
-0.010666446760296822,
-0.016599789261817932,
-0.04785795509815216,
0.10508864372968674,
0.012916166335344315,
-0.040898971259593964,
0.04706215858459473,
0.030689571052789688,
0.05064880847930908,
-0.0160042904317379,
0.09447123110294342,
-0.07193740457296371,
0.00949727464467287,
-0.024216577410697937,
0.017547328025102615,
0.01150431763380766,
-0.03249257057905197,
0.028068682178854942,
0.033676717430353165,
-0.11771050095558167,
-0.08680424839258194,
0.03745858371257782,
-0.007826860062777996,
-0.07563349604606628,
-0.027661776170134544,
0.028245288878679276,
0.014915591105818748,
0.04429091140627861,
-0.01640661060810089,
-0.02762128971517086,
-0.013520339503884315,
-0.025167012587189674,
0.0289556086063385,
-0.028340769931674004,
0.08642567694187164,
0.019212471321225166,
-0.03411966934800148,
-0.006582585629075766,
0.012177878990769386,
-0.03797081485390663,
0.08020590990781784,
-0.03600705787539482,
-0.0029000083450227976,
0.11441744863986969,
-0.024690542370080948,
-0.000524637580383569,
0.07502788305282593,
-0.04798373207449913,
-0.04520544037222862,
-0.02720857784152031,
0.06470195949077606,
0.04963434487581253,
0.011770854704082012,
-0.06145484000444412,
-0.07186056673526764,
-0.06513136625289917,
0.05034194514155388,
-0.038894303143024445,
-0.00833337102085352,
-0.06986041367053986,
-0.042288780212402344,
-0.007313176989555359,
-0.02202567458152771,
-0.022510550916194916,
0.042265117168426514,
0.01668938808143139,
-0.007841982878744602,
-0.03796614706516266,
0.07564779371023178,
0.05307164415717125,
-2.796399306876479e-33,
-0.08427990227937698,
-0.059406038373708725,
0.020678380504250526,
0.07157745957374573,
-0.014860198833048344,
-0.02272525243461132,
-0.10171012580394745,
-0.09728962928056717,
0.018740715458989143,
0.030216580256819725,
-0.13891051709651947,
-0.013349783606827259,
0.06731846928596497,
-0.04298419505357742,
0.0008501217234879732,
-0.04370667412877083,
0.01938324235379696,
0.05712581425905228,
0.0000050900725909741595,
-0.07630063593387604,
0.044129833579063416,
0.13295549154281616,
-0.04169785603880882,
0.014314725063741207,
0.0029273605905473232,
0.025200193747878075,
-0.020014474168419838,
-0.07010070234537125,
-0.03050558641552925,
0.06253478676080704,
-0.09891342371702194,
-0.037399280816316605,
-0.054927997291088104,
0.021341705694794655,
0.04350071772933006,
0.04234471172094345,
-0.047800492495298386,
0.09110064804553986,
-0.006183627527207136,
0.1394425332546234,
-0.003266358282417059,
-0.0365474596619606,
-0.007657378446310759,
-0.012375684455037117,
0.08610367774963379,
-0.031893204897642136,
-0.04394642263650894,
0.0009432938531972468,
0.1228119432926178,
0.006404314190149307,
0.02162022516131401,
0.10105415433645248,
-0.0561274029314518,
0.026768183335661888,
-0.04662465304136276,
-0.05594179034233093,
-0.01190442219376564,
0.022835401818156242,
0.14645907282829285,
-0.00189587299246341,
-0.02419678121805191,
0.026215611025691032,
-0.0707160234451294,
0.08761348575353622,
-0.0035348734818398952,
-0.04091328755021095,
0.028909100219607353,
-0.0865861251950264,
0.0804494172334671,
-0.02583164907991886,
0.03170499578118324,
0.02581033483147621,
0.007823322899639606,
-0.02066502906382084,
0.026521308347582817,
0.06930391490459442,
-0.04287074878811836,
0.03304551541805267,
-0.0882885530591011,
0.025659268721938133,
-0.0015690537402406335,
0.041388917714357376,
0.021305399015545845,
-0.03590232506394386,
-0.1050814762711525,
-0.012327957898378372,
0.11606619507074356,
-0.04217153787612915,
-0.010935205966234207,
-0.043036606162786484,
0.033737216144800186,
0.00755567941814661,
0.020623808726668358,
0.015045678243041039,
-0.09855575859546661,
-5.28538137700707e-8,
0.02592659369111061,
-0.05694124102592468,
0.012081989087164402,
0.10420303046703339,
0.0069642458111047745,
0.020241612568497658,
0.04181617125868797,
-0.029714005067944527,
-0.07504633814096451,
-0.009539473801851273,
0.087856724858284,
0.04501635953783989,
0.09903362393379211,
-0.04907485842704773,
0.009087295271456242,
-0.005645794793963432,
-0.007236409932374954,
-0.038530245423316956,
-0.03830460458993912,
-0.010265425778925419,
-0.04459551349282265,
0.0006013881065882742,
0.006288193631917238,
-0.04741251841187477,
-0.05011437088251114,
-0.03200232610106468,
-0.031933292746543884,
-0.01436910405755043,
0.007392328232526779,
0.11266739666461945,
0.03205352649092674,
-0.02891172282397747,
0.013507488183677197,
-0.03872910514473915,
0.054521627724170685,
0.004809316713362932,
-0.03769844397902489,
-0.021226510405540466,
0.006294809747487307,
-0.02423711121082306,
0.06111752614378929,
0.0142355402931571,
-0.07847028970718384,
0.03926008194684982,
0.07404082268476486,
0.02796093560755253,
-0.052786629647016525,
-0.09948553889989853,
-0.024748122319579124,
-0.03937208279967308,
0.046232692897319794,
0.006328789982944727,
-0.024838240817189217,
-0.05970120429992676,
-0.011510206386446953,
0.05693370848894119,
-0.007497127633541822,
-0.0723511353135109,
-0.008089663460850716,
-0.0077788326889276505,
0.043029654771089554,
0.06625544279813766,
0.002048624912276864,
-0.08197589963674545
] |
1401.6528
|
Afonso S. Bandeira
|
Emmanuel Abbe, Noga Alon, Afonso S. Bandeira, Colin Sandon
|
Linear Boolean classification, coding and "the critical problem"
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of constructing a minimal rank matrix over GF(2) whose kernel
does not intersect a given set S is considered. In the case where S is a
Hamming ball centered at 0, this is equivalent to finding linear codes of
largest dimension. For a general set, this is an instance of "the critical
problem" posed by Crapo and Rota in 1970. This work focuses on the case where S
is an annulus. As opposed to balls, it is shown that an optimal kernel is
composed not only of dense but also of sparse vectors, and the optimal mixture
is identified in various cases. These findings corroborate a proposed
conjecture that for annulus of inner and outer radius nq and np respectively,
the optimal relative rank is given by (1-q)H(p/(1-q)), an extension of the
Gilbert-Varshamov bound H(p) conjectured for Hamming balls of radius np.
|
[
{
"created": "Sat, 25 Jan 2014 13:07:02 GMT",
"version": "v1"
},
{
"created": "Sun, 18 May 2014 04:42:46 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Jun 2015 16:59:13 GMT",
"version": "v3"
}
] |
2015-06-30
|
[
[
"Abbe",
"Emmanuel",
""
],
[
"Alon",
"Noga",
""
],
[
"Bandeira",
"Afonso S.",
""
],
[
"Sandon",
"Colin",
""
]
] |
[
0.036847665905952454,
0.03027835488319397,
-0.08648184686899185,
-0.07160355150699615,
0.05924982950091362,
0.04116227105259895,
0.051830630749464035,
0.01653888449072838,
0.018224092200398445,
0.02820076234638691,
-0.038740504533052444,
0.07221290469169617,
0.07564140111207962,
-0.007191752083599567,
-0.04530841112136841,
0.04623129963874817,
0.04373365268111229,
0.025499878451228142,
0.006976008415222168,
0.04543646425008774,
-0.09575510025024414,
-0.0695623978972435,
0.0409444198012352,
-0.0006654384778812528,
0.02559736557304859,
-0.03638172149658203,
0.035802386701107025,
0.055072735995054245,
-0.010013180784881115,
-0.02823285572230816,
-0.03596252202987671,
0.0807330533862114,
0.15091317892074585,
0.040685463696718216,
-0.04992694407701492,
0.042433153837919235,
0.014014050364494324,
0.021444957703351974,
-0.0029751528054475784,
0.049755293875932693,
0.0026107593439519405,
0.07046003639698029,
0.009230381809175014,
-0.002859015017747879,
0.004343077074736357,
0.05893294885754585,
-0.007843835279345512,
-0.007386010140180588,
-0.04313384369015694,
-0.1420212835073471,
-0.043294232338666916,
-0.005427774973213673,
0.03804478794336319,
0.023152146488428116,
-0.02300528809428215,
-0.11469381302595139,
-0.03933963552117348,
-0.07316307723522186,
0.048432737588882446,
0.03712289035320282,
0.030489305034279823,
-0.06390821933746338,
0.033348001539707184,
-0.058907244354486465,
0.0845782458782196,
-0.03520815074443817,
0.019561437889933586,
0.013649864122271538,
-0.11804639548063278,
0.052323807030916214,
-0.014675420708954334,
-0.01943913847208023,
-0.09918460994958878,
0.06360173970460892,
-0.0025252257473766804,
0.037603192031383514,
0.046498171985149384,
-0.02486068196594715,
0.04904492199420929,
0.022544994950294495,
-0.013267521746456623,
-0.017689375206828117,
-0.044271618127822876,
-0.031101593747735023,
-0.011055915616452694,
-0.02554396167397499,
0.00872369296848774,
0.0018002561992034316,
0.07262313365936279,
-0.04255777224898338,
-0.03914956748485565,
0.023877277970314026,
-0.0033047040924429893,
0.09411732107400894,
-0.027923578396439552,
-0.08777229487895966,
0.009473985992372036,
0.004995300900191069,
0.07136014103889465,
0.06137365475296974,
0.08279849588871002,
-0.07016751170158386,
-0.009450182318687439,
0.007312414702028036,
0.08155512064695358,
0.08732213824987411,
-0.02948910929262638,
0.07125461101531982,
0.04525014013051987,
-0.07313308864831924,
0.02855132333934307,
-0.0408797487616539,
-0.058929696679115295,
-0.010826827958226204,
-0.007124654948711395,
-0.026475315913558006,
0.11104530841112137,
0.1535927802324295,
0.05563303828239441,
-0.0202314630150795,
0.0333385244011879,
-0.048588987439870834,
0.010456723161041737,
-0.04250308498740196,
-0.016682883724570274,
0.08027726411819458,
-0.0409211739897728,
5.454273584006259e-33,
0.059302765876054764,
0.07637593895196915,
0.01002558134496212,
0.0018175548175349832,
-0.006147568579763174,
0.034821316599845886,
0.02805854193866253,
-0.040479063987731934,
0.09997866302728653,
-0.061771146953105927,
-0.09073052555322647,
-0.0009815915254876018,
0.03901413455605507,
0.02271457202732563,
-0.0028013321571052074,
-0.02569226734340191,
0.03895010054111481,
-0.036132484674453735,
-0.046556953340768814,
-0.09620852023363113,
-0.037691473960876465,
-0.008234266191720963,
0.010688673704862595,
-0.035535845905542374,
0.026250971481204033,
-0.045160625129938126,
0.07007809728384018,
-0.2473275065422058,
-0.06133722886443138,
-0.009015675634145737,
-0.07440914958715439,
-0.015249098651111126,
0.042258795350790024,
0.1362076699733734,
0.02371586486697197,
0.010297813452780247,
-0.011179746128618717,
0.05956217274069786,
-0.05521176755428314,
-0.11744921654462814,
-0.00013344960461836308,
-0.04427337646484375,
-0.005341176874935627,
-0.10327479243278503,
-0.02288309670984745,
-0.023230183869600296,
0.039861273020505905,
0.11128643900156021,
-0.034763872623443604,
-0.027238981798291206,
0.035068608820438385,
0.05039263516664505,
-0.012214094400405884,
0.005781763698905706,
0.02273162081837654,
-0.04579085111618042,
0.041000284254550934,
-0.01202341541647911,
0.08444905281066895,
0.08183173835277557,
-0.016302118077874184,
0.0007990651065483689,
0.010237413458526134,
-0.022037209942936897,
-0.0014035472413524985,
-0.009930799715220928,
-0.013599066063761711,
-0.15671230852603912,
0.05961368978023529,
0.03988175839185715,
0.03595280274748802,
0.07605604082345963,
0.01464952901005745,
0.0018879391718655825,
0.00818350538611412,
0.014883473515510559,
0.08423446863889694,
-0.03189598396420479,
0.00045154316467233,
-0.00028351007495075464,
-0.018115568906068802,
0.00019585010886657983,
0.007134239189326763,
-0.1118825152516365,
-0.10375162959098816,
-0.029257260262966156,
0.040100838989019394,
-0.010931040160357952,
-0.06455334275960922,
-0.012971440330147743,
-0.013852981850504875,
-0.04076576977968216,
-0.0066667054779827595,
-0.010966386646032333,
0.021087152883410454,
-3.5561231425228465e-33,
0.013088407926261425,
0.005684375762939453,
-0.04027340188622475,
0.019523287191987038,
-0.0019868386443704367,
-0.04668913036584854,
0.019992997869849205,
-0.04187263548374176,
-0.07677727937698364,
-0.01635626144707203,
-0.012941664084792137,
-0.002480748575180769,
0.048323530703783035,
0.019290536642074585,
0.08177203685045242,
-0.009902416728436947,
-0.06446818262338638,
0.051135290414094925,
-0.027995839715003967,
0.012308130040764809,
0.0075335209257900715,
0.028528477996587753,
0.030801527202129364,
0.08821842074394226,
-0.005891449749469757,
0.022035082802176476,
0.009743456728756428,
0.00022674044885206968,
-0.062334123998880386,
-0.020181717351078987,
0.07587006688117981,
-0.05337997153401375,
-0.08483614027500153,
0.017171958461403847,
0.0491480827331543,
-0.024828936904668808,
0.03240589052438736,
-0.007982737384736538,
-0.03428054228425026,
0.07476495951414108,
-0.04978417605161667,
-0.0014613684033975005,
-0.05791516974568367,
0.018521461635828018,
-0.018928807228803635,
-0.018402477726340294,
-0.007446986623108387,
-0.024720748886466026,
-0.006164484657347202,
0.012858690693974495,
-0.03965042904019356,
0.021180564537644386,
0.06865178048610687,
0.048283666372299194,
-0.016350215300917625,
0.005672537721693516,
-0.12220585346221924,
0.05710301920771599,
0.1208772212266922,
-0.010744909755885601,
-0.024402933195233345,
-0.024148190394043922,
-0.0445491299033165,
0.06767258048057556,
0.022071262821555138,
-0.0573323518037796,
-0.018152521923184395,
0.008337466977536678,
-0.0803065374493599,
0.04807532578706741,
-0.04579094424843788,
-0.005588687025010586,
0.02390635758638382,
-0.04937949776649475,
-0.08536931872367859,
0.06994979828596115,
0.06127283722162247,
0.012208574451506138,
-0.015529128722846508,
-0.003941492177546024,
0.013873515650629997,
0.041676707565784454,
0.0013542025117203593,
0.049133121967315674,
0.0011195600964128971,
0.02823520451784134,
0.09482172876596451,
-0.017440518364310265,
0.02015976421535015,
-0.04253927245736122,
0.053021740168333054,
-0.04630601406097412,
0.07058833539485931,
0.00518818199634552,
0.011036255396902561,
-4.403369047167871e-8,
-0.037469781935214996,
-0.10017422586679459,
-0.08970649540424347,
0.01103675551712513,
0.13179638981819153,
-0.013871065340936184,
0.019950982183218002,
0.027226662263274193,
-0.024256212636828423,
0.04585784301161766,
0.06361652165651321,
0.016107575967907906,
-0.05715670436620712,
-0.015643088147044182,
-0.05664774775505066,
-0.01245583314448595,
-0.03727656230330467,
-0.011366386897861958,
0.02693026326596737,
0.021355802193284035,
0.011999666690826416,
0.01762368157505989,
-0.03025929071009159,
0.045138608664274216,
-0.058613307774066925,
-0.022828558459877968,
0.025236109271645546,
-0.03929504379630089,
0.07073205709457397,
0.028903119266033173,
-0.03877703845500946,
0.022489750757813454,
0.11273763328790665,
-0.010695314034819603,
-0.019966203719377518,
0.04728259518742561,
-0.024125711992383003,
0.026145072653889656,
-0.11622247844934464,
-0.05252891033887863,
-0.024554437026381493,
0.023977352306246758,
-0.030724292621016502,
-0.07561495900154114,
0.04426255077123642,
0.009893974289298058,
-0.06312131881713867,
-0.012470519170165062,
-0.03994639217853546,
0.031228801235556602,
-0.013604480773210526,
0.019856467843055725,
0.02436957322061062,
0.038233738392591476,
0.03381748124957085,
0.006214303430169821,
-0.0721484050154686,
-0.010281361639499664,
0.054678961634635925,
-0.036995887756347656,
-0.038162339478731155,
0.050679802894592285,
0.003083036048337817,
0.023037422448396683
] | null | null | null | null | null | null | null |
[
0.036847665905952454,
0.03027835488319397,
-0.08648184686899185,
-0.07160355150699615,
0.05924982950091362,
0.04116227105259895,
0.051830630749464035,
0.01653888449072838,
0.018224092200398445,
0.02820076234638691,
-0.038740504533052444,
0.07221290469169617,
0.07564140111207962,
-0.007191752083599567,
-0.04530841112136841,
0.04623129963874817,
0.04373365268111229,
0.025499878451228142,
0.006976008415222168,
0.04543646425008774,
-0.09575510025024414,
-0.0695623978972435,
0.0409444198012352,
-0.0006654384778812528,
0.02559736557304859,
-0.03638172149658203,
0.035802386701107025,
0.055072735995054245,
-0.010013180784881115,
-0.02823285572230816,
-0.03596252202987671,
0.0807330533862114,
0.15091317892074585,
0.040685463696718216,
-0.04992694407701492,
0.042433153837919235,
0.014014050364494324,
0.021444957703351974,
-0.0029751528054475784,
0.049755293875932693,
0.0026107593439519405,
0.07046003639698029,
0.009230381809175014,
-0.002859015017747879,
0.004343077074736357,
0.05893294885754585,
-0.007843835279345512,
-0.007386010140180588,
-0.04313384369015694,
-0.1420212835073471,
-0.043294232338666916,
-0.005427774973213673,
0.03804478794336319,
0.023152146488428116,
-0.02300528809428215,
-0.11469381302595139,
-0.03933963552117348,
-0.07316307723522186,
0.048432737588882446,
0.03712289035320282,
0.030489305034279823,
-0.06390821933746338,
0.033348001539707184,
-0.058907244354486465,
0.0845782458782196,
-0.03520815074443817,
0.019561437889933586,
0.013649864122271538,
-0.11804639548063278,
0.052323807030916214,
-0.014675420708954334,
-0.01943913847208023,
-0.09918460994958878,
0.06360173970460892,
-0.0025252257473766804,
0.037603192031383514,
0.046498171985149384,
-0.02486068196594715,
0.04904492199420929,
0.022544994950294495,
-0.013267521746456623,
-0.017689375206828117,
-0.044271618127822876,
-0.031101593747735023,
-0.011055915616452694,
-0.02554396167397499,
0.00872369296848774,
0.0018002561992034316,
0.07262313365936279,
-0.04255777224898338,
-0.03914956748485565,
0.023877277970314026,
-0.0033047040924429893,
0.09411732107400894,
-0.027923578396439552,
-0.08777229487895966,
0.009473985992372036,
0.004995300900191069,
0.07136014103889465,
0.06137365475296974,
0.08279849588871002,
-0.07016751170158386,
-0.009450182318687439,
0.007312414702028036,
0.08155512064695358,
0.08732213824987411,
-0.02948910929262638,
0.07125461101531982,
0.04525014013051987,
-0.07313308864831924,
0.02855132333934307,
-0.0408797487616539,
-0.058929696679115295,
-0.010826827958226204,
-0.007124654948711395,
-0.026475315913558006,
0.11104530841112137,
0.1535927802324295,
0.05563303828239441,
-0.0202314630150795,
0.0333385244011879,
-0.048588987439870834,
0.010456723161041737,
-0.04250308498740196,
-0.016682883724570274,
0.08027726411819458,
-0.0409211739897728,
5.454273584006259e-33,
0.059302765876054764,
0.07637593895196915,
0.01002558134496212,
0.0018175548175349832,
-0.006147568579763174,
0.034821316599845886,
0.02805854193866253,
-0.040479063987731934,
0.09997866302728653,
-0.061771146953105927,
-0.09073052555322647,
-0.0009815915254876018,
0.03901413455605507,
0.02271457202732563,
-0.0028013321571052074,
-0.02569226734340191,
0.03895010054111481,
-0.036132484674453735,
-0.046556953340768814,
-0.09620852023363113,
-0.037691473960876465,
-0.008234266191720963,
0.010688673704862595,
-0.035535845905542374,
0.026250971481204033,
-0.045160625129938126,
0.07007809728384018,
-0.2473275065422058,
-0.06133722886443138,
-0.009015675634145737,
-0.07440914958715439,
-0.015249098651111126,
0.042258795350790024,
0.1362076699733734,
0.02371586486697197,
0.010297813452780247,
-0.011179746128618717,
0.05956217274069786,
-0.05521176755428314,
-0.11744921654462814,
-0.00013344960461836308,
-0.04427337646484375,
-0.005341176874935627,
-0.10327479243278503,
-0.02288309670984745,
-0.023230183869600296,
0.039861273020505905,
0.11128643900156021,
-0.034763872623443604,
-0.027238981798291206,
0.035068608820438385,
0.05039263516664505,
-0.012214094400405884,
0.005781763698905706,
0.02273162081837654,
-0.04579085111618042,
0.041000284254550934,
-0.01202341541647911,
0.08444905281066895,
0.08183173835277557,
-0.016302118077874184,
0.0007990651065483689,
0.010237413458526134,
-0.022037209942936897,
-0.0014035472413524985,
-0.009930799715220928,
-0.013599066063761711,
-0.15671230852603912,
0.05961368978023529,
0.03988175839185715,
0.03595280274748802,
0.07605604082345963,
0.01464952901005745,
0.0018879391718655825,
0.00818350538611412,
0.014883473515510559,
0.08423446863889694,
-0.03189598396420479,
0.00045154316467233,
-0.00028351007495075464,
-0.018115568906068802,
0.00019585010886657983,
0.007134239189326763,
-0.1118825152516365,
-0.10375162959098816,
-0.029257260262966156,
0.040100838989019394,
-0.010931040160357952,
-0.06455334275960922,
-0.012971440330147743,
-0.013852981850504875,
-0.04076576977968216,
-0.0066667054779827595,
-0.010966386646032333,
0.021087152883410454,
-3.5561231425228465e-33,
0.013088407926261425,
0.005684375762939453,
-0.04027340188622475,
0.019523287191987038,
-0.0019868386443704367,
-0.04668913036584854,
0.019992997869849205,
-0.04187263548374176,
-0.07677727937698364,
-0.01635626144707203,
-0.012941664084792137,
-0.002480748575180769,
0.048323530703783035,
0.019290536642074585,
0.08177203685045242,
-0.009902416728436947,
-0.06446818262338638,
0.051135290414094925,
-0.027995839715003967,
0.012308130040764809,
0.0075335209257900715,
0.028528477996587753,
0.030801527202129364,
0.08821842074394226,
-0.005891449749469757,
0.022035082802176476,
0.009743456728756428,
0.00022674044885206968,
-0.062334123998880386,
-0.020181717351078987,
0.07587006688117981,
-0.05337997153401375,
-0.08483614027500153,
0.017171958461403847,
0.0491480827331543,
-0.024828936904668808,
0.03240589052438736,
-0.007982737384736538,
-0.03428054228425026,
0.07476495951414108,
-0.04978417605161667,
-0.0014613684033975005,
-0.05791516974568367,
0.018521461635828018,
-0.018928807228803635,
-0.018402477726340294,
-0.007446986623108387,
-0.024720748886466026,
-0.006164484657347202,
0.012858690693974495,
-0.03965042904019356,
0.021180564537644386,
0.06865178048610687,
0.048283666372299194,
-0.016350215300917625,
0.005672537721693516,
-0.12220585346221924,
0.05710301920771599,
0.1208772212266922,
-0.010744909755885601,
-0.024402933195233345,
-0.024148190394043922,
-0.0445491299033165,
0.06767258048057556,
0.022071262821555138,
-0.0573323518037796,
-0.018152521923184395,
0.008337466977536678,
-0.0803065374493599,
0.04807532578706741,
-0.04579094424843788,
-0.005588687025010586,
0.02390635758638382,
-0.04937949776649475,
-0.08536931872367859,
0.06994979828596115,
0.06127283722162247,
0.012208574451506138,
-0.015529128722846508,
-0.003941492177546024,
0.013873515650629997,
0.041676707565784454,
0.0013542025117203593,
0.049133121967315674,
0.0011195600964128971,
0.02823520451784134,
0.09482172876596451,
-0.017440518364310265,
0.02015976421535015,
-0.04253927245736122,
0.053021740168333054,
-0.04630601406097412,
0.07058833539485931,
0.00518818199634552,
0.011036255396902561,
-4.403369047167871e-8,
-0.037469781935214996,
-0.10017422586679459,
-0.08970649540424347,
0.01103675551712513,
0.13179638981819153,
-0.013871065340936184,
0.019950982183218002,
0.027226662263274193,
-0.024256212636828423,
0.04585784301161766,
0.06361652165651321,
0.016107575967907906,
-0.05715670436620712,
-0.015643088147044182,
-0.05664774775505066,
-0.01245583314448595,
-0.03727656230330467,
-0.011366386897861958,
0.02693026326596737,
0.021355802193284035,
0.011999666690826416,
0.01762368157505989,
-0.03025929071009159,
0.045138608664274216,
-0.058613307774066925,
-0.022828558459877968,
0.025236109271645546,
-0.03929504379630089,
0.07073205709457397,
0.028903119266033173,
-0.03877703845500946,
0.022489750757813454,
0.11273763328790665,
-0.010695314034819603,
-0.019966203719377518,
0.04728259518742561,
-0.024125711992383003,
0.026145072653889656,
-0.11622247844934464,
-0.05252891033887863,
-0.024554437026381493,
0.023977352306246758,
-0.030724292621016502,
-0.07561495900154114,
0.04426255077123642,
0.009893974289298058,
-0.06312131881713867,
-0.012470519170165062,
-0.03994639217853546,
0.031228801235556602,
-0.013604480773210526,
0.019856467843055725,
0.02436957322061062,
0.038233738392591476,
0.03381748124957085,
0.006214303430169821,
-0.0721484050154686,
-0.010281361639499664,
0.054678961634635925,
-0.036995887756347656,
-0.038162339478731155,
0.050679802894592285,
0.003083036048337817,
0.023037422448396683
] |
1401.6533
|
Kezhi Li
|
Kezhi Li and Shuang Cong
|
A Robust Compressive Quantum State Tomography Algorithm Using ADMM
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The possible state space dimension increases exponentially with respect to
the number of qubits. This feature makes the quantum state tomography expensive
and impractical for identifying the state of merely several qubits. The recent
developed approach, compressed sensing, gives us an alternative to estimate the
quantum state with fewer measurements. It is proved that the estimation then
can be converted to a convex optimization problem with quantum mechanics
constraints. In this paper we present an alternating augmented Lagrangian
method for quantum convex optimization problem aiming for recovering pure or
near pure quantum states corrupted by sparse noise given observables and the
expectation values of the measurements. The proposed algorithm is much faster,
robust to outlier noises (even very large for some entries) and can solve the
reconstruction problem distributively. The simulations verify the superiority
of the proposed algorithm and compare it to the conventional least square and
compressive quantum tomography using Dantzig method.
|
[
{
"created": "Sat, 25 Jan 2014 14:03:30 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Li",
"Kezhi",
""
],
[
"Cong",
"Shuang",
""
]
] |
[
-0.11325386166572571,
0.05329661816358566,
-0.040855493396520615,
0.001962022390216589,
-0.07645484805107117,
0.021911408752202988,
0.02943291887640953,
-0.09187521040439606,
-0.029689660295844078,
0.008215843699872494,
-0.04695109650492668,
-0.014245717786252499,
0.057506952434778214,
0.04346194863319397,
-0.09077588468790054,
-0.008839141577482224,
0.038717202842235565,
0.04988047480583191,
0.008860856294631958,
-0.05223601683974266,
-0.04353123903274536,
0.05164363607764244,
-0.038731612265110016,
-0.05420030653476715,
0.14611129462718964,
-0.015502909198403358,
0.05914420261979103,
-0.04631434753537178,
-0.018057931214571,
0.043796245008707047,
0.06871935725212097,
-0.013927127234637737,
-0.008778052404522896,
-0.08757280558347702,
0.04523757845163345,
0.014196891337633133,
-0.007585411425679922,
-0.027670536190271378,
0.06382567435503006,
-0.020398562774062157,
-0.014745975844562054,
0.11176501214504242,
-0.05402817577123642,
-0.012055979110300541,
0.026980578899383545,
0.03772895783185959,
0.04181103780865669,
-0.014612462371587753,
0.06853469461202621,
-0.13218559324741364,
0.05712831765413284,
0.06567016988992691,
0.014831353910267353,
0.008832357823848724,
0.022074799984693527,
-0.03854851424694061,
-0.015983926132321358,
-0.05777754262089729,
-0.0764046236872673,
0.03500521555542946,
-0.01996767148375511,
-0.003564720042049885,
-0.004407282918691635,
0.028001826256513596,
0.05015699192881584,
0.05410148575901985,
0.006943257991224527,
0.01467245351523161,
-0.03329315409064293,
0.06070796027779579,
-0.08308263123035431,
-0.01020477432757616,
0.022362036630511284,
0.027983292937278748,
0.022119058296084404,
-0.08678165823221207,
0.04621337726712227,
0.04171181842684746,
0.05196632444858551,
0.04392150416970253,
0.0042535061948001385,
-0.02936631068587303,
-0.026291964575648308,
0.04152292013168335,
0.06828345358371735,
0.002746988320723176,
-0.08071090281009674,
-0.014593994244933128,
0.012616675347089767,
-0.041177671402692795,
-0.06122196465730667,
-0.0578005276620388,
-0.09755869954824448,
0.05986294522881508,
0.0319349467754364,
-0.05136353150010109,
0.109122633934021,
0.040624815970659256,
0.004043762572109699,
0.05626410245895386,
0.06491074711084366,
-0.006427843123674393,
0.06363235414028168,
0.015445786528289318,
-0.028029082342982292,
-0.07022999227046967,
0.04146694019436836,
0.0176207534968853,
0.0249815434217453,
-0.021936828270554543,
0.036480050534009933,
-0.005012186709791422,
0.0544547475874424,
0.0008712149574421346,
0.021130429580807686,
-0.0031667493749409914,
0.02802678383886814,
0.08514149487018585,
-0.018925393000245094,
0.014404501765966415,
-0.08332309871912003,
-0.04197169467806816,
0.010080489329993725,
0.06263193488121033,
0.05568774789571762,
0.0940374806523323,
-0.09288408607244492,
2.4723000859914197e-33,
0.012017186731100082,
0.08817890286445618,
0.04540478065609932,
-0.014783124439418316,
0.028758114203810692,
0.045407410711050034,
0.08718236535787582,
-0.0505710206925869,
0.023547755554318428,
0.019010726362466812,
-0.0049765524454414845,
-0.0011640689335763454,
-0.03284520283341408,
0.026103563606739044,
0.036986153572797775,
0.01915878616273403,
-0.08403357863426208,
0.01989300362765789,
0.028958186507225037,
-0.08281971514225006,
-0.01520500797778368,
-0.06666702032089233,
-0.0652603879570961,
0.011728464625775814,
0.009499228559434414,
-0.08266656845808029,
0.13552141189575195,
-0.04908914491534233,
-0.10811959952116013,
0.020251013338565826,
-0.12989340722560883,
0.011053306981921196,
0.031639572232961655,
-0.008496827445924282,
0.017060667276382446,
0.01835738494992256,
0.0723341703414917,
0.06994819641113281,
-0.08007151633501053,
-0.03419525548815727,
0.0845043808221817,
0.03626188635826111,
0.07641837745904922,
-0.08066092431545258,
-0.05789359286427498,
-0.005731476936489344,
-0.019513748586177826,
-0.021885499358177185,
0.016791529953479767,
-0.026626409962773323,
0.015883876010775566,
-0.07054875046014786,
-0.032334644347429276,
-0.0020338608883321285,
-0.0395805798470974,
-0.06736436486244202,
0.01823185384273529,
-0.03843817114830017,
0.01280808076262474,
0.0055840290151536465,
-0.04541245102882385,
-0.012876858003437519,
0.07596611976623535,
-0.006468837149441242,
0.007608766667544842,
0.08836187422275543,
-0.01658412255346775,
-0.02290426567196846,
-0.0700291246175766,
0.07135222107172012,
-0.01797405257821083,
-0.01876150816679001,
0.046856075525283813,
-0.07238133996725082,
0.11133114993572235,
0.018461357802152634,
0.08540686219930649,
-0.015015711076557636,
-0.025116708129644394,
-0.07960987836122513,
0.02204989455640316,
-0.03604086861014366,
-0.0008640910382382572,
-0.03622790798544884,
-0.018486250191926956,
-0.06393634527921677,
0.014316980727016926,
-0.03060860000550747,
0.014202112331986427,
-0.056953735649585724,
-0.05018080770969391,
-0.0205313041806221,
0.027301523834466934,
0.007029815576970577,
-0.03832458704710007,
-2.1831850463547703e-33,
-0.011625905521214008,
0.05311352387070656,
0.031988974660634995,
-0.02887825295329094,
-0.005610556807368994,
-0.08984696120023727,
-0.00880270916968584,
0.02773052640259266,
0.009816033765673637,
-0.05296352878212929,
-0.07302272319793701,
-0.012870904989540577,
0.05425483360886574,
0.06182869151234627,
-0.03936252370476723,
0.10894274711608887,
-0.006877587176859379,
-0.06734513491392136,
0.07343576103448868,
0.036124732345342636,
0.011390574276447296,
-0.034482378512620926,
0.018461089581251144,
-0.022887183353304863,
0.03419787436723709,
0.08604461699724197,
0.009702371433377266,
0.055531442165374756,
0.01698116399347782,
-0.07935173064470291,
-0.013799795880913734,
-0.09538446366786957,
-0.07001366466283798,
-0.032239802181720734,
-0.07033315300941467,
0.07614947110414505,
0.03284234553575516,
0.04756829887628555,
-0.04982856288552284,
-0.0027232542634010315,
-0.025107966735959053,
0.019689464941620827,
-0.04106113687157631,
0.0646856352686882,
0.0766826719045639,
-0.043429818004369736,
0.025809364393353462,
-0.044295743107795715,
-0.04477514699101448,
0.06908749788999557,
0.019107528030872345,
0.06025870516896248,
0.023050574585795403,
0.10798047482967377,
-0.07309064269065857,
-0.002880776533856988,
-0.052948158234357834,
0.06688833236694336,
0.06929004192352295,
0.0053581674583256245,
-0.06227266415953636,
0.024249406531453133,
-0.11518773436546326,
0.08527960628271103,
-0.015951858833432198,
-0.021837351843714714,
0.005845146719366312,
0.007954265922307968,
-0.03748396411538124,
0.005431700497865677,
-0.06240950524806976,
0.00038082237006165087,
0.024888591840863228,
0.021994641050696373,
0.053928181529045105,
0.04058316722512245,
0.03580430522561073,
-0.028204431757330894,
0.0014900568639859557,
0.01570397987961769,
0.05495131388306618,
-0.019116917625069618,
0.03348715230822563,
0.01330985315144062,
-0.0269178356975317,
0.06489740312099457,
0.00037367697223089635,
0.010181449353694916,
0.021416427567601204,
-0.055490944534540176,
-0.01899741217494011,
0.04484326392412186,
0.04898247867822647,
-0.07399007678031921,
0.0338967926800251,
-4.354875571266348e-8,
-0.08762899041175842,
-0.033987972885370255,
-0.04840366542339325,
-0.07189004123210907,
0.08270467072725296,
-0.059887658804655075,
0.010441969148814678,
0.006678109057247639,
0.011147783137857914,
-0.17180465161800385,
-0.0021206403616815805,
-0.07578689604997635,
-0.09019476175308228,
-0.0031261101830750704,
-0.05433746799826622,
0.0008529065526090562,
-0.05724263936281204,
0.005807237233966589,
0.00671341922134161,
0.05512148141860962,
0.03487353026866913,
0.05955761298537254,
0.007391348481178284,
0.029170885682106018,
0.05020301043987274,
-0.011239913292229176,
0.04008377715945244,
-0.014408842660486698,
0.0886317640542984,
0.03525717929005623,
-0.08207301795482635,
0.029583560302853584,
0.07704054564237595,
0.03641839697957039,
-0.09565994888544083,
-0.0077416300773620605,
-0.014491690322756767,
-0.04359554871916771,
-0.05580779165029526,
-0.06944150477647781,
-0.0943988710641861,
-0.012830967083573341,
-0.019952546805143356,
0.000686293060425669,
0.015600832179188728,
0.018327495083212852,
0.07974310219287872,
-0.04523758590221405,
0.0869530513882637,
0.006826380733400583,
0.004737454000860453,
-0.018657321110367775,
0.09496407955884933,
-0.008352700620889664,
-0.013765716925263405,
0.022802745923399925,
-0.010984227061271667,
-0.01069166511297226,
0.048659797757864,
0.05064952373504639,
0.005843495950102806,
0.030363522469997406,
-0.08912084251642227,
0.0743953213095665
] | null | null | null | null | null | null | null |
[
-0.11325386166572571,
0.05329661816358566,
-0.040855493396520615,
0.001962022390216589,
-0.07645484805107117,
0.021911408752202988,
0.02943291887640953,
-0.09187521040439606,
-0.029689660295844078,
0.008215843699872494,
-0.04695109650492668,
-0.014245717786252499,
0.057506952434778214,
0.04346194863319397,
-0.09077588468790054,
-0.008839141577482224,
0.038717202842235565,
0.04988047480583191,
0.008860856294631958,
-0.05223601683974266,
-0.04353123903274536,
0.05164363607764244,
-0.038731612265110016,
-0.05420030653476715,
0.14611129462718964,
-0.015502909198403358,
0.05914420261979103,
-0.04631434753537178,
-0.018057931214571,
0.043796245008707047,
0.06871935725212097,
-0.013927127234637737,
-0.008778052404522896,
-0.08757280558347702,
0.04523757845163345,
0.014196891337633133,
-0.007585411425679922,
-0.027670536190271378,
0.06382567435503006,
-0.020398562774062157,
-0.014745975844562054,
0.11176501214504242,
-0.05402817577123642,
-0.012055979110300541,
0.026980578899383545,
0.03772895783185959,
0.04181103780865669,
-0.014612462371587753,
0.06853469461202621,
-0.13218559324741364,
0.05712831765413284,
0.06567016988992691,
0.014831353910267353,
0.008832357823848724,
0.022074799984693527,
-0.03854851424694061,
-0.015983926132321358,
-0.05777754262089729,
-0.0764046236872673,
0.03500521555542946,
-0.01996767148375511,
-0.003564720042049885,
-0.004407282918691635,
0.028001826256513596,
0.05015699192881584,
0.05410148575901985,
0.006943257991224527,
0.01467245351523161,
-0.03329315409064293,
0.06070796027779579,
-0.08308263123035431,
-0.01020477432757616,
0.022362036630511284,
0.027983292937278748,
0.022119058296084404,
-0.08678165823221207,
0.04621337726712227,
0.04171181842684746,
0.05196632444858551,
0.04392150416970253,
0.0042535061948001385,
-0.02936631068587303,
-0.026291964575648308,
0.04152292013168335,
0.06828345358371735,
0.002746988320723176,
-0.08071090281009674,
-0.014593994244933128,
0.012616675347089767,
-0.041177671402692795,
-0.06122196465730667,
-0.0578005276620388,
-0.09755869954824448,
0.05986294522881508,
0.0319349467754364,
-0.05136353150010109,
0.109122633934021,
0.040624815970659256,
0.004043762572109699,
0.05626410245895386,
0.06491074711084366,
-0.006427843123674393,
0.06363235414028168,
0.015445786528289318,
-0.028029082342982292,
-0.07022999227046967,
0.04146694019436836,
0.0176207534968853,
0.0249815434217453,
-0.021936828270554543,
0.036480050534009933,
-0.005012186709791422,
0.0544547475874424,
0.0008712149574421346,
0.021130429580807686,
-0.0031667493749409914,
0.02802678383886814,
0.08514149487018585,
-0.018925393000245094,
0.014404501765966415,
-0.08332309871912003,
-0.04197169467806816,
0.010080489329993725,
0.06263193488121033,
0.05568774789571762,
0.0940374806523323,
-0.09288408607244492,
2.4723000859914197e-33,
0.012017186731100082,
0.08817890286445618,
0.04540478065609932,
-0.014783124439418316,
0.028758114203810692,
0.045407410711050034,
0.08718236535787582,
-0.0505710206925869,
0.023547755554318428,
0.019010726362466812,
-0.0049765524454414845,
-0.0011640689335763454,
-0.03284520283341408,
0.026103563606739044,
0.036986153572797775,
0.01915878616273403,
-0.08403357863426208,
0.01989300362765789,
0.028958186507225037,
-0.08281971514225006,
-0.01520500797778368,
-0.06666702032089233,
-0.0652603879570961,
0.011728464625775814,
0.009499228559434414,
-0.08266656845808029,
0.13552141189575195,
-0.04908914491534233,
-0.10811959952116013,
0.020251013338565826,
-0.12989340722560883,
0.011053306981921196,
0.031639572232961655,
-0.008496827445924282,
0.017060667276382446,
0.01835738494992256,
0.0723341703414917,
0.06994819641113281,
-0.08007151633501053,
-0.03419525548815727,
0.0845043808221817,
0.03626188635826111,
0.07641837745904922,
-0.08066092431545258,
-0.05789359286427498,
-0.005731476936489344,
-0.019513748586177826,
-0.021885499358177185,
0.016791529953479767,
-0.026626409962773323,
0.015883876010775566,
-0.07054875046014786,
-0.032334644347429276,
-0.0020338608883321285,
-0.0395805798470974,
-0.06736436486244202,
0.01823185384273529,
-0.03843817114830017,
0.01280808076262474,
0.0055840290151536465,
-0.04541245102882385,
-0.012876858003437519,
0.07596611976623535,
-0.006468837149441242,
0.007608766667544842,
0.08836187422275543,
-0.01658412255346775,
-0.02290426567196846,
-0.0700291246175766,
0.07135222107172012,
-0.01797405257821083,
-0.01876150816679001,
0.046856075525283813,
-0.07238133996725082,
0.11133114993572235,
0.018461357802152634,
0.08540686219930649,
-0.015015711076557636,
-0.025116708129644394,
-0.07960987836122513,
0.02204989455640316,
-0.03604086861014366,
-0.0008640910382382572,
-0.03622790798544884,
-0.018486250191926956,
-0.06393634527921677,
0.014316980727016926,
-0.03060860000550747,
0.014202112331986427,
-0.056953735649585724,
-0.05018080770969391,
-0.0205313041806221,
0.027301523834466934,
0.007029815576970577,
-0.03832458704710007,
-2.1831850463547703e-33,
-0.011625905521214008,
0.05311352387070656,
0.031988974660634995,
-0.02887825295329094,
-0.005610556807368994,
-0.08984696120023727,
-0.00880270916968584,
0.02773052640259266,
0.009816033765673637,
-0.05296352878212929,
-0.07302272319793701,
-0.012870904989540577,
0.05425483360886574,
0.06182869151234627,
-0.03936252370476723,
0.10894274711608887,
-0.006877587176859379,
-0.06734513491392136,
0.07343576103448868,
0.036124732345342636,
0.011390574276447296,
-0.034482378512620926,
0.018461089581251144,
-0.022887183353304863,
0.03419787436723709,
0.08604461699724197,
0.009702371433377266,
0.055531442165374756,
0.01698116399347782,
-0.07935173064470291,
-0.013799795880913734,
-0.09538446366786957,
-0.07001366466283798,
-0.032239802181720734,
-0.07033315300941467,
0.07614947110414505,
0.03284234553575516,
0.04756829887628555,
-0.04982856288552284,
-0.0027232542634010315,
-0.025107966735959053,
0.019689464941620827,
-0.04106113687157631,
0.0646856352686882,
0.0766826719045639,
-0.043429818004369736,
0.025809364393353462,
-0.044295743107795715,
-0.04477514699101448,
0.06908749788999557,
0.019107528030872345,
0.06025870516896248,
0.023050574585795403,
0.10798047482967377,
-0.07309064269065857,
-0.002880776533856988,
-0.052948158234357834,
0.06688833236694336,
0.06929004192352295,
0.0053581674583256245,
-0.06227266415953636,
0.024249406531453133,
-0.11518773436546326,
0.08527960628271103,
-0.015951858833432198,
-0.021837351843714714,
0.005845146719366312,
0.007954265922307968,
-0.03748396411538124,
0.005431700497865677,
-0.06240950524806976,
0.00038082237006165087,
0.024888591840863228,
0.021994641050696373,
0.053928181529045105,
0.04058316722512245,
0.03580430522561073,
-0.028204431757330894,
0.0014900568639859557,
0.01570397987961769,
0.05495131388306618,
-0.019116917625069618,
0.03348715230822563,
0.01330985315144062,
-0.0269178356975317,
0.06489740312099457,
0.00037367697223089635,
0.010181449353694916,
0.021416427567601204,
-0.055490944534540176,
-0.01899741217494011,
0.04484326392412186,
0.04898247867822647,
-0.07399007678031921,
0.0338967926800251,
-4.354875571266348e-8,
-0.08762899041175842,
-0.033987972885370255,
-0.04840366542339325,
-0.07189004123210907,
0.08270467072725296,
-0.059887658804655075,
0.010441969148814678,
0.006678109057247639,
0.011147783137857914,
-0.17180465161800385,
-0.0021206403616815805,
-0.07578689604997635,
-0.09019476175308228,
-0.0031261101830750704,
-0.05433746799826622,
0.0008529065526090562,
-0.05724263936281204,
0.005807237233966589,
0.00671341922134161,
0.05512148141860962,
0.03487353026866913,
0.05955761298537254,
0.007391348481178284,
0.029170885682106018,
0.05020301043987274,
-0.011239913292229176,
0.04008377715945244,
-0.014408842660486698,
0.0886317640542984,
0.03525717929005623,
-0.08207301795482635,
0.029583560302853584,
0.07704054564237595,
0.03641839697957039,
-0.09565994888544083,
-0.0077416300773620605,
-0.014491690322756767,
-0.04359554871916771,
-0.05580779165029526,
-0.06944150477647781,
-0.0943988710641861,
-0.012830967083573341,
-0.019952546805143356,
0.000686293060425669,
0.015600832179188728,
0.018327495083212852,
0.07974310219287872,
-0.04523758590221405,
0.0869530513882637,
0.006826380733400583,
0.004737454000860453,
-0.018657321110367775,
0.09496407955884933,
-0.008352700620889664,
-0.013765716925263405,
0.022802745923399925,
-0.010984227061271667,
-0.01069166511297226,
0.048659797757864,
0.05064952373504639,
0.005843495950102806,
0.030363522469997406,
-0.08912084251642227,
0.0743953213095665
] |
1401.6534
|
Amir Aghamohammadi
|
Mohammad Khorrami, Amir Aghamohammadi
|
A suspended rope wrapped around a cylinder
|
11 pages, 4 figures
|
Eur. J. Phys. 35 (2014) 025008
|
10.1088/0143-0807/35/2/025008
| null |
physics.class-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of a suspended rope wrapped around a fixed cylinder is studied.
If the suspension force is larger than a certain threshold (which is larger
than the weight of the rope), the rope would remain tightly wrapped around the
cylinder. For suspension forces smaller than that threshold but larger than
another threshold, the rope becomes loose (loses contact with the cylinder) at
some points, but still remains at rest. Theses thresholds are obtained when
there is no friction. The system is then analyzed also with friction, and the
threshold of tight-wrapping is obtained for that case as well.
|
[
{
"created": "Sat, 25 Jan 2014 14:05:11 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Khorrami",
"Mohammad",
""
],
[
"Aghamohammadi",
"Amir",
""
]
] |
[
-0.08892683684825897,
0.055358752608299255,
-0.06115473806858063,
0.015989452600479126,
0.00861199852079153,
0.0017653042450547218,
0.04174260050058365,
0.11220945417881012,
-0.006487639155238867,
0.08329302072525024,
0.03827773779630661,
-0.016343913972377777,
0.02048822119832039,
0.07972782850265503,
-0.07452075183391571,
0.006438457872718573,
-0.011948664672672749,
0.05379527062177658,
-0.05708242952823639,
0.05209416523575783,
0.035149481147527695,
0.01884983293712139,
0.09530077874660492,
0.04094509035348892,
-0.07143347710371017,
-0.04395263269543648,
-0.02164911851286888,
0.049099404364824295,
0.0435975082218647,
-0.01971513405442238,
-0.1325099766254425,
-0.09154923260211945,
-0.05936963111162186,
-0.01427654642611742,
0.041303250938653946,
0.02554553933441639,
-0.03573179990053177,
0.03545108065009117,
-0.023789815604686737,
0.04317750781774521,
-0.049813371151685715,
0.04005517438054085,
0.0016400720924139023,
0.005200583953410387,
0.061095334589481354,
0.041564859449863434,
-0.038567811250686646,
0.06950295716524124,
-0.10838216543197632,
-0.030838314443826675,
-0.037360548973083496,
0.003648144891485572,
0.0599258653819561,
0.01401798240840435,
-0.03848900645971298,
-0.028563780710101128,
0.02125900238752365,
0.004943623673170805,
-0.08289232850074768,
0.03920132294297218,
0.07750551402568817,
-0.03329518809914589,
-0.05206187814474106,
0.035704877227544785,
0.003364238189533353,
0.0857662484049797,
-0.023221204057335854,
0.00513977836817503,
-0.010413743555545807,
0.028792500495910645,
-0.04894835501909256,
-0.043052788823843,
-0.07461683452129364,
0.012439052574336529,
0.0378938652575016,
-0.0035993128549307585,
-0.05013909190893173,
0.05949661508202553,
-0.06439720094203949,
0.13331449031829834,
0.036744825541973114,
-0.04233716055750847,
-0.08665505796670914,
-0.0040441593155264854,
-0.08832549303770065,
-0.00031122687505558133,
0.04485192522406578,
-0.04351870343089104,
-0.014284507371485233,
-0.035146065056324005,
0.0014686136273667216,
0.034607890993356705,
-0.01256603468209505,
0.02035483345389366,
-0.10085196793079376,
-0.023855680599808693,
0.060950592160224915,
0.07262230664491653,
-0.046707555651664734,
0.019230758771300316,
-0.026633163914084435,
-0.009326564148068428,
-0.005338557064533234,
0.074229896068573,
0.015813181176781654,
0.0908658355474472,
0.004546992480754852,
-0.0833597406744957,
-0.01104532927274704,
0.03462909907102585,
0.027641288936138153,
-0.0194038525223732,
-0.0488419272005558,
0.05417376384139061,
-0.03102092817425728,
-0.048230964690446854,
0.07261320948600769,
0.0010751563822850585,
-0.010817858390510082,
0.05000000447034836,
0.007352033164352179,
0.02066989056766033,
0.037690434604883194,
-0.07940483093261719,
-0.006635119207203388,
0.054306160658597946,
-0.05440731719136238,
1.867482712225421e-33,
-0.03031463362276554,
-0.06713699549436569,
-0.03239371255040169,
-0.03275716304779053,
-0.038876667618751526,
-0.030389636754989624,
-0.056076280772686005,
0.06674878299236298,
0.014546590857207775,
0.11915987730026245,
-0.07847259193658829,
0.028549769893288612,
-0.02277214452624321,
-0.03233246132731438,
0.029907988384366035,
-0.0452779084444046,
0.06859496980905533,
-0.058127064257860184,
-0.020782170817255974,
0.019687214866280556,
-0.0353708416223526,
-0.060900039970874786,
0.10914059728384018,
-0.093183234333992,
-0.027342472225427628,
0.006572714541107416,
-0.01757415570318699,
-0.09397473186254501,
-0.006598383188247681,
0.013394766487181187,
-0.04447909817099571,
0.009740653447806835,
0.018917961046099663,
0.07968968898057938,
-0.07589946687221527,
0.06584388017654419,
0.016261260956525803,
-0.019821982830762863,
0.014856450259685516,
0.05285133421421051,
-0.04506155848503113,
-0.012910178862512112,
0.10457637906074524,
0.037453871220350266,
-0.009021084755659103,
-0.06860136985778809,
0.062088433653116226,
-0.004322683904320002,
-0.08444464206695557,
0.042732030153274536,
0.0224564541131258,
0.006778686307370663,
0.030767377465963364,
-0.04133935645222664,
0.0647411048412323,
-0.06320195645093918,
0.003985093906521797,
0.008799692615866661,
-0.062078703194856644,
0.026658618822693825,
-0.04242055490612984,
-0.07688520103693008,
0.01095454953610897,
-0.06756342202425003,
0.03554839640855789,
0.05898529663681984,
-0.014649661257863045,
0.04007163271307945,
-0.014706488698720932,
-0.04415133222937584,
-0.0996614545583725,
-0.018160181120038033,
-0.026662738993763924,
0.05521648749709129,
0.03572884947061539,
0.07014720141887665,
-0.028616271913051605,
-0.039920687675476074,
0.06925424933433533,
-0.07294866442680359,
0.033870190382003784,
-0.044703755527734756,
-0.005353485234081745,
-0.04809282347559929,
-0.009333541616797447,
-0.0690198764204979,
0.0002470699546393007,
0.06666365265846252,
-0.03064846806228161,
0.046086687594652176,
-0.059433307498693466,
0.02162950672209263,
0.0649477019906044,
0.050803977996110916,
0.1879785805940628,
-2.9196067268770015e-33,
0.0622255839407444,
0.07864388078451157,
-0.016772449016571045,
0.04571152478456497,
0.044123973697423935,
-0.045644618570804596,
-0.04535243287682533,
-0.013706035912036896,
-0.061659425497055054,
0.00672972621396184,
0.0021168841049075127,
-0.049362681806087494,
-0.0034675586502999067,
0.13979081809520721,
0.04218694940209389,
0.03428816795349121,
-0.06975381076335907,
-0.04671661928296089,
-0.010808514431118965,
0.013063767924904823,
-0.015533450990915298,
0.03324270620942116,
-0.048204176127910614,
0.050733547657728195,
0.07820487022399902,
-0.007350285537540913,
-0.05928463861346245,
-0.07763747870922089,
-0.012084757909178734,
0.02806614711880684,
0.01864773966372013,
-0.0354880727827549,
0.011083065532147884,
0.038278430700302124,
0.0012899537105113268,
-0.02620687521994114,
0.09666560590267181,
0.052060484886169434,
0.04970228672027588,
-0.11206016689538956,
0.037279076874256134,
-0.010157124139368534,
0.004560959991067648,
-0.02229539304971695,
0.005782011896371841,
0.013087623752653599,
-0.10397085547447205,
-0.023451276123523712,
-0.05404974892735481,
-0.008186912164092064,
-0.034847427159547806,
0.009123538620769978,
0.06089434772729874,
-0.04508960619568825,
0.0329112634062767,
0.08519379794597626,
-0.07892173528671265,
-0.05123819038271904,
-0.04896584153175354,
0.008302600122988224,
-0.02603207342326641,
-0.08030207455158234,
-0.05740750581026077,
-0.016829025000333786,
0.07155061513185501,
0.045734863728284836,
-0.006178391166031361,
-0.03778385743498802,
-0.041049715131521225,
0.00731335673481226,
0.0437675416469574,
0.03213200345635414,
0.0735674723982811,
-0.036215487867593765,
-0.006063438486307859,
0.032247401773929596,
-0.022586563602089882,
-0.08357548713684082,
0.025880124419927597,
0.042724110186100006,
0.01698615774512291,
-0.0286673903465271,
0.009552557952702045,
-0.08200783282518387,
-0.08764772117137909,
-0.08763358741998672,
-0.02922319620847702,
-0.03570408374071121,
-0.046828702092170715,
0.032975055277347565,
0.06851890683174133,
0.04364771395921707,
-0.02516159974038601,
-0.07088679820299149,
0.05216561257839203,
-5.053400187193802e-8,
0.058598000556230545,
0.00108075060416013,
-0.06031672656536102,
-0.011908558197319508,
0.03345853090286255,
0.14659810066223145,
0.012501954101026058,
-0.07246550917625427,
-0.004787576850503683,
-0.05930496007204056,
0.00979865062981844,
0.05734413117170334,
0.039888493716716766,
0.10090969502925873,
-0.07906655967235565,
-0.021890277042984962,
-0.040699198842048645,
0.08246678113937378,
0.020556187257170677,
0.02653522603213787,
0.03200530633330345,
-0.025062143802642822,
0.049603164196014404,
-0.01819952204823494,
-0.010792048647999763,
-0.07205010205507278,
-0.020030107349157333,
0.05300532653927803,
0.024157367646694183,
0.047389667481184006,
0.050098203122615814,
-0.018649112433195114,
0.015797384083271027,
0.04789185896515846,
0.020457345992326736,
0.05277908593416214,
-0.007217385806143284,
-0.03960788622498512,
-0.0032922527752816677,
0.03716076537966728,
0.07241058349609375,
0.03423405811190605,
-0.0598200298845768,
-0.004432501271367073,
0.08028759807348251,
0.015729060396552086,
0.0010588596342131495,
0.010083338245749474,
-0.006836906541138887,
0.01679074950516224,
-0.03626518324017525,
-0.04376097396016121,
0.06891600787639618,
0.0839826688170433,
0.04057715833187103,
0.004293619189411402,
0.06493864208459854,
0.05080099776387215,
-0.09471559524536133,
-0.013586435467004776,
-0.08320799469947815,
-0.018000679090619087,
0.05410117283463478,
-0.006566295865923166
] | null | null | null | null | null | null | null |
[
-0.08892683684825897,
0.055358752608299255,
-0.06115473806858063,
0.015989452600479126,
0.00861199852079153,
0.0017653042450547218,
0.04174260050058365,
0.11220945417881012,
-0.006487639155238867,
0.08329302072525024,
0.03827773779630661,
-0.016343913972377777,
0.02048822119832039,
0.07972782850265503,
-0.07452075183391571,
0.006438457872718573,
-0.011948664672672749,
0.05379527062177658,
-0.05708242952823639,
0.05209416523575783,
0.035149481147527695,
0.01884983293712139,
0.09530077874660492,
0.04094509035348892,
-0.07143347710371017,
-0.04395263269543648,
-0.02164911851286888,
0.049099404364824295,
0.0435975082218647,
-0.01971513405442238,
-0.1325099766254425,
-0.09154923260211945,
-0.05936963111162186,
-0.01427654642611742,
0.041303250938653946,
0.02554553933441639,
-0.03573179990053177,
0.03545108065009117,
-0.023789815604686737,
0.04317750781774521,
-0.049813371151685715,
0.04005517438054085,
0.0016400720924139023,
0.005200583953410387,
0.061095334589481354,
0.041564859449863434,
-0.038567811250686646,
0.06950295716524124,
-0.10838216543197632,
-0.030838314443826675,
-0.037360548973083496,
0.003648144891485572,
0.0599258653819561,
0.01401798240840435,
-0.03848900645971298,
-0.028563780710101128,
0.02125900238752365,
0.004943623673170805,
-0.08289232850074768,
0.03920132294297218,
0.07750551402568817,
-0.03329518809914589,
-0.05206187814474106,
0.035704877227544785,
0.003364238189533353,
0.0857662484049797,
-0.023221204057335854,
0.00513977836817503,
-0.010413743555545807,
0.028792500495910645,
-0.04894835501909256,
-0.043052788823843,
-0.07461683452129364,
0.012439052574336529,
0.0378938652575016,
-0.0035993128549307585,
-0.05013909190893173,
0.05949661508202553,
-0.06439720094203949,
0.13331449031829834,
0.036744825541973114,
-0.04233716055750847,
-0.08665505796670914,
-0.0040441593155264854,
-0.08832549303770065,
-0.00031122687505558133,
0.04485192522406578,
-0.04351870343089104,
-0.014284507371485233,
-0.035146065056324005,
0.0014686136273667216,
0.034607890993356705,
-0.01256603468209505,
0.02035483345389366,
-0.10085196793079376,
-0.023855680599808693,
0.060950592160224915,
0.07262230664491653,
-0.046707555651664734,
0.019230758771300316,
-0.026633163914084435,
-0.009326564148068428,
-0.005338557064533234,
0.074229896068573,
0.015813181176781654,
0.0908658355474472,
0.004546992480754852,
-0.0833597406744957,
-0.01104532927274704,
0.03462909907102585,
0.027641288936138153,
-0.0194038525223732,
-0.0488419272005558,
0.05417376384139061,
-0.03102092817425728,
-0.048230964690446854,
0.07261320948600769,
0.0010751563822850585,
-0.010817858390510082,
0.05000000447034836,
0.007352033164352179,
0.02066989056766033,
0.037690434604883194,
-0.07940483093261719,
-0.006635119207203388,
0.054306160658597946,
-0.05440731719136238,
1.867482712225421e-33,
-0.03031463362276554,
-0.06713699549436569,
-0.03239371255040169,
-0.03275716304779053,
-0.038876667618751526,
-0.030389636754989624,
-0.056076280772686005,
0.06674878299236298,
0.014546590857207775,
0.11915987730026245,
-0.07847259193658829,
0.028549769893288612,
-0.02277214452624321,
-0.03233246132731438,
0.029907988384366035,
-0.0452779084444046,
0.06859496980905533,
-0.058127064257860184,
-0.020782170817255974,
0.019687214866280556,
-0.0353708416223526,
-0.060900039970874786,
0.10914059728384018,
-0.093183234333992,
-0.027342472225427628,
0.006572714541107416,
-0.01757415570318699,
-0.09397473186254501,
-0.006598383188247681,
0.013394766487181187,
-0.04447909817099571,
0.009740653447806835,
0.018917961046099663,
0.07968968898057938,
-0.07589946687221527,
0.06584388017654419,
0.016261260956525803,
-0.019821982830762863,
0.014856450259685516,
0.05285133421421051,
-0.04506155848503113,
-0.012910178862512112,
0.10457637906074524,
0.037453871220350266,
-0.009021084755659103,
-0.06860136985778809,
0.062088433653116226,
-0.004322683904320002,
-0.08444464206695557,
0.042732030153274536,
0.0224564541131258,
0.006778686307370663,
0.030767377465963364,
-0.04133935645222664,
0.0647411048412323,
-0.06320195645093918,
0.003985093906521797,
0.008799692615866661,
-0.062078703194856644,
0.026658618822693825,
-0.04242055490612984,
-0.07688520103693008,
0.01095454953610897,
-0.06756342202425003,
0.03554839640855789,
0.05898529663681984,
-0.014649661257863045,
0.04007163271307945,
-0.014706488698720932,
-0.04415133222937584,
-0.0996614545583725,
-0.018160181120038033,
-0.026662738993763924,
0.05521648749709129,
0.03572884947061539,
0.07014720141887665,
-0.028616271913051605,
-0.039920687675476074,
0.06925424933433533,
-0.07294866442680359,
0.033870190382003784,
-0.044703755527734756,
-0.005353485234081745,
-0.04809282347559929,
-0.009333541616797447,
-0.0690198764204979,
0.0002470699546393007,
0.06666365265846252,
-0.03064846806228161,
0.046086687594652176,
-0.059433307498693466,
0.02162950672209263,
0.0649477019906044,
0.050803977996110916,
0.1879785805940628,
-2.9196067268770015e-33,
0.0622255839407444,
0.07864388078451157,
-0.016772449016571045,
0.04571152478456497,
0.044123973697423935,
-0.045644618570804596,
-0.04535243287682533,
-0.013706035912036896,
-0.061659425497055054,
0.00672972621396184,
0.0021168841049075127,
-0.049362681806087494,
-0.0034675586502999067,
0.13979081809520721,
0.04218694940209389,
0.03428816795349121,
-0.06975381076335907,
-0.04671661928296089,
-0.010808514431118965,
0.013063767924904823,
-0.015533450990915298,
0.03324270620942116,
-0.048204176127910614,
0.050733547657728195,
0.07820487022399902,
-0.007350285537540913,
-0.05928463861346245,
-0.07763747870922089,
-0.012084757909178734,
0.02806614711880684,
0.01864773966372013,
-0.0354880727827549,
0.011083065532147884,
0.038278430700302124,
0.0012899537105113268,
-0.02620687521994114,
0.09666560590267181,
0.052060484886169434,
0.04970228672027588,
-0.11206016689538956,
0.037279076874256134,
-0.010157124139368534,
0.004560959991067648,
-0.02229539304971695,
0.005782011896371841,
0.013087623752653599,
-0.10397085547447205,
-0.023451276123523712,
-0.05404974892735481,
-0.008186912164092064,
-0.034847427159547806,
0.009123538620769978,
0.06089434772729874,
-0.04508960619568825,
0.0329112634062767,
0.08519379794597626,
-0.07892173528671265,
-0.05123819038271904,
-0.04896584153175354,
0.008302600122988224,
-0.02603207342326641,
-0.08030207455158234,
-0.05740750581026077,
-0.016829025000333786,
0.07155061513185501,
0.045734863728284836,
-0.006178391166031361,
-0.03778385743498802,
-0.041049715131521225,
0.00731335673481226,
0.0437675416469574,
0.03213200345635414,
0.0735674723982811,
-0.036215487867593765,
-0.006063438486307859,
0.032247401773929596,
-0.022586563602089882,
-0.08357548713684082,
0.025880124419927597,
0.042724110186100006,
0.01698615774512291,
-0.0286673903465271,
0.009552557952702045,
-0.08200783282518387,
-0.08764772117137909,
-0.08763358741998672,
-0.02922319620847702,
-0.03570408374071121,
-0.046828702092170715,
0.032975055277347565,
0.06851890683174133,
0.04364771395921707,
-0.02516159974038601,
-0.07088679820299149,
0.05216561257839203,
-5.053400187193802e-8,
0.058598000556230545,
0.00108075060416013,
-0.06031672656536102,
-0.011908558197319508,
0.03345853090286255,
0.14659810066223145,
0.012501954101026058,
-0.07246550917625427,
-0.004787576850503683,
-0.05930496007204056,
0.00979865062981844,
0.05734413117170334,
0.039888493716716766,
0.10090969502925873,
-0.07906655967235565,
-0.021890277042984962,
-0.040699198842048645,
0.08246678113937378,
0.020556187257170677,
0.02653522603213787,
0.03200530633330345,
-0.025062143802642822,
0.049603164196014404,
-0.01819952204823494,
-0.010792048647999763,
-0.07205010205507278,
-0.020030107349157333,
0.05300532653927803,
0.024157367646694183,
0.047389667481184006,
0.050098203122615814,
-0.018649112433195114,
0.015797384083271027,
0.04789185896515846,
0.020457345992326736,
0.05277908593416214,
-0.007217385806143284,
-0.03960788622498512,
-0.0032922527752816677,
0.03716076537966728,
0.07241058349609375,
0.03423405811190605,
-0.0598200298845768,
-0.004432501271367073,
0.08028759807348251,
0.015729060396552086,
0.0010588596342131495,
0.010083338245749474,
-0.006836906541138887,
0.01679074950516224,
-0.03626518324017525,
-0.04376097396016121,
0.06891600787639618,
0.0839826688170433,
0.04057715833187103,
0.004293619189411402,
0.06493864208459854,
0.05080099776387215,
-0.09471559524536133,
-0.013586435467004776,
-0.08320799469947815,
-0.018000679090619087,
0.05410117283463478,
-0.006566295865923166
] |
1401.6536
|
Mike M\"uller
|
Mike M\"uller and Svetlana Puzynina and Micha\"el Rao
|
Infinite square-free self-shuffling words
| null | null | null | null |
cs.DM cs.FL math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we answer two recent questions from Charlier et al. and Harju
about self-shuffling words. An infinite word $w$ is called self-shuffling, if
$w=\prod_{i=0}^\infty U_iV_i=\prod_{i=0}^\infty U_i=\prod_{i=0}^\infty V_i$ for
some finite words $U_i$, $V_i$. Harju recently asked whether square-free
self-shuffling words exist. We answer this question affirmatively. Besides
that, we build an infinite word such that no word in its shift orbit closure is
self-shuffling, answering positively a question from Charlier et al.
|
[
{
"created": "Sat, 25 Jan 2014 14:08:39 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Nov 2014 15:08:37 GMT",
"version": "v2"
}
] |
2014-11-11
|
[
[
"Müller",
"Mike",
""
],
[
"Puzynina",
"Svetlana",
""
],
[
"Rao",
"Michaël",
""
]
] |
[
-0.07997648417949677,
-0.01787576824426651,
0.005361235234886408,
-0.005841002333909273,
-0.06446382403373718,
0.052972882986068726,
0.16350530087947845,
-0.05842624977231026,
0.11087492853403091,
0.0025443951599299908,
0.07780919969081879,
0.025343691930174828,
0.0484078973531723,
-0.03440681844949722,
-0.030371585860848427,
-0.013453532941639423,
-0.01101045124232769,
0.0005833738250657916,
-0.030825162306427956,
0.019846459850668907,
0.021125463768839836,
0.004592022392898798,
0.004239190835505724,
0.03428012505173683,
-0.0032767890952527523,
-0.019651832059025764,
-0.06221136078238487,
-0.03217533230781555,
0.07008643448352814,
-0.06151565909385681,
0.03637039288878441,
0.05811896547675133,
-0.010548056103289127,
0.044232867658138275,
0.09328706562519073,
0.009320320561528206,
-0.025620130822062492,
0.010332724079489708,
0.005233761854469776,
0.007802657783031464,
0.07507295906543732,
-0.01962284930050373,
-0.01688379794359207,
0.03896745294332504,
-0.06160534545779228,
-0.01818590983748436,
0.010661737062036991,
0.06485888361930847,
-0.050428371876478195,
-0.03229830786585808,
-0.06298753619194031,
-0.0011694466229528189,
-0.03047393448650837,
0.04828708991408348,
-0.025037731975317,
-0.032101910561323166,
0.06783849000930786,
0.03143225610256195,
-0.027443788945674896,
-0.0023182604927569628,
0.06378765404224396,
-0.012013665400445461,
-0.005643077194690704,
-0.014165269210934639,
-0.029928507283329964,
-0.049382515251636505,
0.012266046367585659,
0.03517966344952583,
-0.004237443208694458,
0.07760916650295258,
0.004833075683563948,
0.06167609989643097,
0.05368456616997719,
0.047836970537900925,
0.016141187399625778,
0.036491695791482925,
0.04142346978187561,
-0.050723664462566376,
0.041363202035427094,
0.06376761198043823,
-0.06802301853895187,
-0.09042757749557495,
0.03659173846244812,
0.014493671245872974,
-0.007510283961892128,
0.01911773532629013,
-0.05474594235420227,
-0.021896256133913994,
-0.051848623901605606,
-0.03634072095155716,
-0.07594063878059387,
-0.09215029329061508,
0.047857772558927536,
-0.04549954831600189,
0.019919876009225845,
-0.022178366780281067,
0.05575842410326004,
-0.014605791307985783,
0.007434639614075422,
-0.00024608959211036563,
0.05002736672759056,
-0.027875903993844986,
0.01683257892727852,
-0.027934793382883072,
-0.015140904113650322,
0.0006850141217000782,
-0.06886312365531921,
-0.07356381416320801,
0.026366766542196274,
0.02215861901640892,
-0.051949240267276764,
-0.05740739405155182,
0.042193882167339325,
0.021090306341648102,
-0.09261685609817505,
-0.03416780009865761,
-0.09084227681159973,
-0.012720071710646152,
0.02177411876618862,
0.007905042730271816,
-0.003970643039792776,
0.040785565972328186,
0.04843144118785858,
0.03199871629476547,
-0.06840598583221436,
0.01998869515955448,
0.0531885027885437,
1.9774465353249996e-33,
0.03552383929491043,
0.05283013731241226,
0.0034385595936328173,
-0.05193105712532997,
-0.007721484173089266,
-0.044489700347185135,
-0.04111413657665253,
-0.03913109004497528,
-0.00491886492818594,
-0.028649426996707916,
0.040549784898757935,
0.08024819195270538,
0.07100305706262589,
0.026709001511335373,
0.028273405507206917,
-0.059601906687021255,
0.07052405923604965,
0.016414370387792587,
0.08162594586610794,
-0.10704496502876282,
0.03893363103270531,
0.10499905049800873,
-0.05472422391176224,
-0.06587252020835876,
-0.021452521905303,
-0.03648272156715393,
-0.028933638706803322,
-0.06953806430101395,
0.048412058502435684,
0.0356944315135479,
-0.050199560821056366,
0.05861283466219902,
-0.02681558020412922,
0.036320582032203674,
0.020954085513949394,
-0.02421179972589016,
-0.075357586145401,
0.022307345643639565,
-0.011456974782049656,
-0.04862591624259949,
0.006697153672575951,
0.0105136064812541,
0.04230824112892151,
-0.01760123483836651,
0.06170710548758507,
-0.08763193339109421,
0.01799890398979187,
0.08644158393144608,
-0.07286094129085541,
-0.08403056859970093,
0.03114914894104004,
0.0069481912069022655,
-0.10364413261413574,
0.02087128721177578,
0.05512341856956482,
-0.030706124380230904,
0.0658871978521347,
0.04868055135011673,
0.015541795641183853,
0.1578211784362793,
-0.03064720332622528,
0.054060667753219604,
0.026583164930343628,
0.00130288430955261,
0.07217849045991898,
-0.03506642207503319,
0.03651838377118111,
-0.09634572267532349,
0.03417278453707695,
0.01310758851468563,
0.06890770047903061,
-0.0025332567747682333,
-0.04191989824175835,
0.05570949241518974,
0.05586914345622063,
0.018021130934357643,
-0.033736251294612885,
-0.13043802976608276,
-0.05541835352778435,
-0.06702870875597,
0.04114947095513344,
-0.06436017900705338,
-0.04402896389365196,
-0.06479720026254654,
-0.06462015211582184,
-0.03764938935637474,
0.002179686212912202,
-0.03264293447136879,
-0.06565456092357635,
-0.05549832805991173,
0.010295551270246506,
-0.029036009684205055,
0.08804608136415482,
-0.05113125964999199,
-0.033749960362911224,
-4.3529694571101666e-33,
-0.07266631722450256,
-0.09956567734479904,
-0.010937849059700966,
0.10291486978530884,
0.05663646385073662,
-0.00823074672371149,
0.029522189870476723,
0.10800874978303909,
-0.02127356082201004,
-0.050939399749040604,
-0.1061771959066391,
0.050488799810409546,
0.02358282543718815,
0.07426406443119049,
0.058086395263671875,
-0.060325395315885544,
0.104835145175457,
0.030892563983798027,
0.04385479539632797,
0.014513440430164337,
0.03497336432337761,
0.00032888390705920756,
-0.0450570248067379,
0.08981232345104218,
0.003916139714419842,
0.004634825978428125,
-0.004366982728242874,
0.05925806611776352,
0.015209968201816082,
0.09330098330974579,
0.03957490250468254,
-0.028555793687701225,
-0.05553421378135681,
-0.0545632541179657,
-0.005372603423893452,
-0.05720746889710426,
-0.04378166049718857,
0.02822558581829071,
-0.017289254814386368,
0.007573474198579788,
-0.032806456089019775,
-0.059449777007102966,
0.03571426495909691,
0.012033261358737946,
0.025210825726389885,
-0.1282781958580017,
-0.14015105366706848,
0.022170696407556534,
0.000547628034837544,
0.0476798340678215,
-0.027917364612221718,
0.02127593569457531,
0.005100710317492485,
-0.015441925264894962,
-0.018513618037104607,
0.045322712510824203,
-0.07673195749521255,
0.013010593131184578,
-0.010103581473231316,
0.03588063642382622,
0.05860000103712082,
-0.00540336174890399,
0.04501260444521904,
-0.06720911711454391,
0.04399137943983078,
-0.02029556967318058,
-0.06652890890836716,
-0.11346663534641266,
0.042248308658599854,
-0.048097867518663406,
0.08578706532716751,
0.007948560640215874,
-0.09546772390604019,
0.00983264110982418,
0.007236838806420565,
0.03944576904177666,
0.06678011268377304,
-0.04737943038344383,
0.001369970734231174,
-0.03396701440215111,
-0.034885723143815994,
0.01973487064242363,
0.013471873477101326,
-0.008418874815106392,
-0.06444995850324631,
-0.08764240145683289,
-0.005047252867370844,
-0.010032113641500473,
0.04084797948598862,
-0.015958623960614204,
0.09760276973247528,
-0.08420465886592865,
-0.012904719449579716,
-0.0019428187515586615,
0.032300159335136414,
-4.267081266107198e-8,
0.0016771090449765325,
0.05165373906493187,
0.0886538177728653,
0.1549793779850006,
-0.019419819116592407,
-0.06742297857999802,
0.08057164400815964,
-0.06831159442663193,
0.006112697534263134,
-0.05827537924051285,
0.040566373616456985,
0.09038735181093216,
-0.04724537581205368,
0.023211687803268433,
-0.01250816322863102,
0.028480805456638336,
0.025674229487776756,
0.027800001204013824,
0.005647104699164629,
-0.010750004090368748,
-0.02379569038748741,
0.043482642620801926,
-0.026414060965180397,
-0.007162274327129126,
-0.1601480394601822,
-0.005713373888283968,
-0.009703210555016994,
-0.04567008465528488,
0.00028987746918573976,
-0.05769029259681702,
0.03385797515511513,
0.04006483033299446,
0.010840042494237423,
-0.008360057137906551,
-0.07394976913928986,
0.0006448521162383258,
-0.10377451777458191,
0.08699899911880493,
0.01398287620395422,
-0.015927094966173172,
0.02718254365026951,
0.023099128156900406,
0.0002232563856523484,
-0.010056695900857449,
-0.020376790314912796,
-0.038951847702264786,
0.007732130121439695,
-0.08186490833759308,
-0.015086681582033634,
-0.05695951357483864,
-0.012359710410237312,
-0.003997752442955971,
0.008940255269408226,
-0.022226352244615555,
0.036635104566812515,
0.11227331310510635,
-0.01731223054230213,
0.04834699630737305,
0.003028439823538065,
0.032504431903362274,
-0.0018011850770562887,
-0.0351860448718071,
-0.027911147102713585,
0.04895729944109917
] | null | null | null | null | null | null | null |
[
-0.07997648417949677,
-0.01787576824426651,
0.005361235234886408,
-0.005841002333909273,
-0.06446382403373718,
0.052972882986068726,
0.16350530087947845,
-0.05842624977231026,
0.11087492853403091,
0.0025443951599299908,
0.07780919969081879,
0.025343691930174828,
0.0484078973531723,
-0.03440681844949722,
-0.030371585860848427,
-0.013453532941639423,
-0.01101045124232769,
0.0005833738250657916,
-0.030825162306427956,
0.019846459850668907,
0.021125463768839836,
0.004592022392898798,
0.004239190835505724,
0.03428012505173683,
-0.0032767890952527523,
-0.019651832059025764,
-0.06221136078238487,
-0.03217533230781555,
0.07008643448352814,
-0.06151565909385681,
0.03637039288878441,
0.05811896547675133,
-0.010548056103289127,
0.044232867658138275,
0.09328706562519073,
0.009320320561528206,
-0.025620130822062492,
0.010332724079489708,
0.005233761854469776,
0.007802657783031464,
0.07507295906543732,
-0.01962284930050373,
-0.01688379794359207,
0.03896745294332504,
-0.06160534545779228,
-0.01818590983748436,
0.010661737062036991,
0.06485888361930847,
-0.050428371876478195,
-0.03229830786585808,
-0.06298753619194031,
-0.0011694466229528189,
-0.03047393448650837,
0.04828708991408348,
-0.025037731975317,
-0.032101910561323166,
0.06783849000930786,
0.03143225610256195,
-0.027443788945674896,
-0.0023182604927569628,
0.06378765404224396,
-0.012013665400445461,
-0.005643077194690704,
-0.014165269210934639,
-0.029928507283329964,
-0.049382515251636505,
0.012266046367585659,
0.03517966344952583,
-0.004237443208694458,
0.07760916650295258,
0.004833075683563948,
0.06167609989643097,
0.05368456616997719,
0.047836970537900925,
0.016141187399625778,
0.036491695791482925,
0.04142346978187561,
-0.050723664462566376,
0.041363202035427094,
0.06376761198043823,
-0.06802301853895187,
-0.09042757749557495,
0.03659173846244812,
0.014493671245872974,
-0.007510283961892128,
0.01911773532629013,
-0.05474594235420227,
-0.021896256133913994,
-0.051848623901605606,
-0.03634072095155716,
-0.07594063878059387,
-0.09215029329061508,
0.047857772558927536,
-0.04549954831600189,
0.019919876009225845,
-0.022178366780281067,
0.05575842410326004,
-0.014605791307985783,
0.007434639614075422,
-0.00024608959211036563,
0.05002736672759056,
-0.027875903993844986,
0.01683257892727852,
-0.027934793382883072,
-0.015140904113650322,
0.0006850141217000782,
-0.06886312365531921,
-0.07356381416320801,
0.026366766542196274,
0.02215861901640892,
-0.051949240267276764,
-0.05740739405155182,
0.042193882167339325,
0.021090306341648102,
-0.09261685609817505,
-0.03416780009865761,
-0.09084227681159973,
-0.012720071710646152,
0.02177411876618862,
0.007905042730271816,
-0.003970643039792776,
0.040785565972328186,
0.04843144118785858,
0.03199871629476547,
-0.06840598583221436,
0.01998869515955448,
0.0531885027885437,
1.9774465353249996e-33,
0.03552383929491043,
0.05283013731241226,
0.0034385595936328173,
-0.05193105712532997,
-0.007721484173089266,
-0.044489700347185135,
-0.04111413657665253,
-0.03913109004497528,
-0.00491886492818594,
-0.028649426996707916,
0.040549784898757935,
0.08024819195270538,
0.07100305706262589,
0.026709001511335373,
0.028273405507206917,
-0.059601906687021255,
0.07052405923604965,
0.016414370387792587,
0.08162594586610794,
-0.10704496502876282,
0.03893363103270531,
0.10499905049800873,
-0.05472422391176224,
-0.06587252020835876,
-0.021452521905303,
-0.03648272156715393,
-0.028933638706803322,
-0.06953806430101395,
0.048412058502435684,
0.0356944315135479,
-0.050199560821056366,
0.05861283466219902,
-0.02681558020412922,
0.036320582032203674,
0.020954085513949394,
-0.02421179972589016,
-0.075357586145401,
0.022307345643639565,
-0.011456974782049656,
-0.04862591624259949,
0.006697153672575951,
0.0105136064812541,
0.04230824112892151,
-0.01760123483836651,
0.06170710548758507,
-0.08763193339109421,
0.01799890398979187,
0.08644158393144608,
-0.07286094129085541,
-0.08403056859970093,
0.03114914894104004,
0.0069481912069022655,
-0.10364413261413574,
0.02087128721177578,
0.05512341856956482,
-0.030706124380230904,
0.0658871978521347,
0.04868055135011673,
0.015541795641183853,
0.1578211784362793,
-0.03064720332622528,
0.054060667753219604,
0.026583164930343628,
0.00130288430955261,
0.07217849045991898,
-0.03506642207503319,
0.03651838377118111,
-0.09634572267532349,
0.03417278453707695,
0.01310758851468563,
0.06890770047903061,
-0.0025332567747682333,
-0.04191989824175835,
0.05570949241518974,
0.05586914345622063,
0.018021130934357643,
-0.033736251294612885,
-0.13043802976608276,
-0.05541835352778435,
-0.06702870875597,
0.04114947095513344,
-0.06436017900705338,
-0.04402896389365196,
-0.06479720026254654,
-0.06462015211582184,
-0.03764938935637474,
0.002179686212912202,
-0.03264293447136879,
-0.06565456092357635,
-0.05549832805991173,
0.010295551270246506,
-0.029036009684205055,
0.08804608136415482,
-0.05113125964999199,
-0.033749960362911224,
-4.3529694571101666e-33,
-0.07266631722450256,
-0.09956567734479904,
-0.010937849059700966,
0.10291486978530884,
0.05663646385073662,
-0.00823074672371149,
0.029522189870476723,
0.10800874978303909,
-0.02127356082201004,
-0.050939399749040604,
-0.1061771959066391,
0.050488799810409546,
0.02358282543718815,
0.07426406443119049,
0.058086395263671875,
-0.060325395315885544,
0.104835145175457,
0.030892563983798027,
0.04385479539632797,
0.014513440430164337,
0.03497336432337761,
0.00032888390705920756,
-0.0450570248067379,
0.08981232345104218,
0.003916139714419842,
0.004634825978428125,
-0.004366982728242874,
0.05925806611776352,
0.015209968201816082,
0.09330098330974579,
0.03957490250468254,
-0.028555793687701225,
-0.05553421378135681,
-0.0545632541179657,
-0.005372603423893452,
-0.05720746889710426,
-0.04378166049718857,
0.02822558581829071,
-0.017289254814386368,
0.007573474198579788,
-0.032806456089019775,
-0.059449777007102966,
0.03571426495909691,
0.012033261358737946,
0.025210825726389885,
-0.1282781958580017,
-0.14015105366706848,
0.022170696407556534,
0.000547628034837544,
0.0476798340678215,
-0.027917364612221718,
0.02127593569457531,
0.005100710317492485,
-0.015441925264894962,
-0.018513618037104607,
0.045322712510824203,
-0.07673195749521255,
0.013010593131184578,
-0.010103581473231316,
0.03588063642382622,
0.05860000103712082,
-0.00540336174890399,
0.04501260444521904,
-0.06720911711454391,
0.04399137943983078,
-0.02029556967318058,
-0.06652890890836716,
-0.11346663534641266,
0.042248308658599854,
-0.048097867518663406,
0.08578706532716751,
0.007948560640215874,
-0.09546772390604019,
0.00983264110982418,
0.007236838806420565,
0.03944576904177666,
0.06678011268377304,
-0.04737943038344383,
0.001369970734231174,
-0.03396701440215111,
-0.034885723143815994,
0.01973487064242363,
0.013471873477101326,
-0.008418874815106392,
-0.06444995850324631,
-0.08764240145683289,
-0.005047252867370844,
-0.010032113641500473,
0.04084797948598862,
-0.015958623960614204,
0.09760276973247528,
-0.08420465886592865,
-0.012904719449579716,
-0.0019428187515586615,
0.032300159335136414,
-4.267081266107198e-8,
0.0016771090449765325,
0.05165373906493187,
0.0886538177728653,
0.1549793779850006,
-0.019419819116592407,
-0.06742297857999802,
0.08057164400815964,
-0.06831159442663193,
0.006112697534263134,
-0.05827537924051285,
0.040566373616456985,
0.09038735181093216,
-0.04724537581205368,
0.023211687803268433,
-0.01250816322863102,
0.028480805456638336,
0.025674229487776756,
0.027800001204013824,
0.005647104699164629,
-0.010750004090368748,
-0.02379569038748741,
0.043482642620801926,
-0.026414060965180397,
-0.007162274327129126,
-0.1601480394601822,
-0.005713373888283968,
-0.009703210555016994,
-0.04567008465528488,
0.00028987746918573976,
-0.05769029259681702,
0.03385797515511513,
0.04006483033299446,
0.010840042494237423,
-0.008360057137906551,
-0.07394976913928986,
0.0006448521162383258,
-0.10377451777458191,
0.08699899911880493,
0.01398287620395422,
-0.015927094966173172,
0.02718254365026951,
0.023099128156900406,
0.0002232563856523484,
-0.010056695900857449,
-0.020376790314912796,
-0.038951847702264786,
0.007732130121439695,
-0.08186490833759308,
-0.015086681582033634,
-0.05695951357483864,
-0.012359710410237312,
-0.003997752442955971,
0.008940255269408226,
-0.022226352244615555,
0.036635104566812515,
0.11227331310510635,
-0.01731223054230213,
0.04834699630737305,
0.003028439823538065,
0.032504431903362274,
-0.0018011850770562887,
-0.0351860448718071,
-0.027911147102713585,
0.04895729944109917
] |
1401.6541
|
Tao Yang
|
Tao Yang, Ziyang Meng, Guodong Shi, Yiguang Hong, Karl Henrik
Johansson
|
Network Synchronization with Nonlinear Dynamics and Switching
Interactions
|
27 pages, 0 figures
| null | null | null |
cs.SY
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper considers the synchronization problem for networks of coupled
nonlinear dynamical systems under switching communication topologies. Two types
of nonlinear agent dynamics are considered. The first one is non-expansive
dynamics (stable dynamics with a convex Lyapunov function $\varphi(\cdot)$) and
the second one is dynamics that satisfies a global Lipschitz condition. For the
non-expansive case, we show that various forms of joint connectivity for
communication graphs are sufficient for networks to achieve global asymptotic
$\varphi$-synchronization. We also show that $\varphi$-synchronization leads to
state synchronization provided that certain additional conditions are
satisfied. For the globally Lipschitz case, unlike the non-expansive case,
joint connectivity alone is not sufficient for achieving synchronization. A
sufficient condition for reaching global exponential synchronization is
established in terms of the relationship between the global Lipschitz constant
and the network parameters. We also extend the results to leader-follower
networks.
|
[
{
"created": "Sat, 25 Jan 2014 14:41:21 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Dec 2014 07:01:30 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Aug 2015 03:40:44 GMT",
"version": "v3"
}
] |
2015-08-25
|
[
[
"Yang",
"Tao",
""
],
[
"Meng",
"Ziyang",
""
],
[
"Shi",
"Guodong",
""
],
[
"Hong",
"Yiguang",
""
],
[
"Johansson",
"Karl Henrik",
""
]
] |
[
0.018198587000370026,
-0.10082840919494629,
-0.00673066359013319,
-0.03606705367565155,
-0.06483674049377441,
-0.0034195659682154655,
-0.0003608863626141101,
-0.013017849996685982,
0.07599171251058578,
-0.020446302369236946,
0.09851516038179398,
0.07992212474346161,
0.029576465487480164,
-0.003753183875232935,
0.01833348162472248,
0.08269184082746506,
0.05327022448182106,
-0.03925708681344986,
-0.08703862130641937,
-0.04042084887623787,
-0.04009758681058884,
-0.0026172881480306387,
-0.06815167516469955,
0.020341996103525162,
-0.01577281579375267,
0.02959528937935829,
-0.10449479520320892,
-0.03016313537955284,
-0.04029014706611633,
0.01818522997200489,
-0.018733391538262367,
-0.10909062623977661,
-0.004616216290742159,
-0.015626540407538414,
-0.04182618111371994,
0.03749735653400421,
-0.029872823506593704,
0.009459365159273148,
0.037891995161771774,
0.06892438977956772,
0.06752712279558182,
0.012459037825465202,
-0.007910438813269138,
-0.01859293319284916,
0.022511810064315796,
-0.008897684514522552,
-0.11321741342544556,
0.10978788137435913,
-0.08326724171638489,
-0.018993718549609184,
-0.06071418896317482,
0.025420550256967545,
-0.010360383428633213,
0.009307357482612133,
0.14132575690746307,
0.006634350400418043,
0.018991563469171524,
0.08108793199062347,
-0.04614166170358658,
-0.022083774209022522,
0.06920873373746872,
0.03449460491538048,
0.034166425466537476,
0.03682243078947067,
0.005243940278887749,
0.08193515986204147,
0.0037680461537092924,
0.08145740628242493,
-0.07390959560871124,
0.08868644386529922,
-0.00660659046843648,
-0.03154033049941063,
0.0541616789996624,
-0.009591148234903812,
0.01897842437028885,
-0.019602378830313683,
0.028446106240153313,
0.047499511390924454,
-0.022615861147642136,
-0.02482149563729763,
0.07318147271871567,
-0.001019009854644537,
-0.01704121008515358,
-0.00711593683809042,
-0.005464320536702871,
-0.02966650202870369,
-0.04645345360040665,
0.0068589202128350735,
0.0386551171541214,
-0.05197526142001152,
-0.03283287584781647,
0.00863354280591011,
0.029755661264061928,
0.03738115355372429,
0.05438436567783356,
-0.02474495768547058,
0.031120676547288895,
0.038556233048439026,
-0.032356780022382736,
0.036455173045396805,
-0.036250755190849304,
-0.07420318573713303,
0.06188146024942398,
0.022955331951379776,
-0.017639972269535065,
-0.0032300378661602736,
0.020585939288139343,
0.002966024447232485,
-0.010833634994924068,
-0.019844900816679,
0.014227611012756824,
-0.025615837424993515,
0.03931783512234688,
0.08486725389957428,
-0.04137447848916054,
-0.06328471750020981,
0.09321918338537216,
0.03278239071369171,
0.00031114782905206084,
0.008953106589615345,
0.0315118134021759,
-0.07182357460260391,
0.009183794260025024,
-0.049437835812568665,
-0.01088086050003767,
0.07401113212108612,
0.06936276704072952,
2.6032339936256987e-33,
-0.016766401007771492,
0.021552277728915215,
-0.00646688649430871,
-0.0029029950965195894,
0.061144329607486725,
0.035233594477176666,
-0.00707941222935915,
-0.06381170451641083,
-0.041198115795850754,
0.006866020150482655,
0.02733025886118412,
0.03151656314730644,
0.013665935955941677,
0.06838363409042358,
0.03436574339866638,
-0.01605461910367012,
0.05062334984540939,
-0.007628049235790968,
0.09222697466611862,
-0.052670884877443314,
0.06253673136234283,
-0.04068000987172127,
-0.07689833641052246,
0.055934738367795944,
-0.0783977061510086,
-0.039608489722013474,
-0.05018484964966774,
0.011027603410184383,
-0.0024159096647053957,
0.0047758519649505615,
-0.004687456879764795,
0.02024601586163044,
-0.06214805692434311,
0.016162166371941566,
0.010628854855895042,
0.05917596071958542,
-0.04922559857368469,
-0.09964928030967712,
-0.041579242795705795,
-0.0024026171304285526,
0.031506944447755814,
0.01738590933382511,
-0.040341705083847046,
-0.010626170784235,
-0.027010032907128334,
-0.061098381876945496,
0.01669422537088394,
0.04988069832324982,
-0.030738787725567818,
-0.0730026364326477,
-0.08759724348783493,
0.018269654363393784,
-0.021651702001690865,
-0.0610298253595829,
0.037220750004053116,
-0.03370939567685127,
0.01285079400986433,
0.04921099543571472,
-0.010290087200701237,
0.0763140320777893,
-0.03755296394228935,
-0.1007847711443901,
0.02504156529903412,
-0.09296209365129471,
0.11758265644311905,
0.06933987885713577,
-0.09954401105642319,
0.005469105672091246,
0.08026301115751266,
-0.05799393728375435,
0.08406781405210495,
0.050011832267045975,
-0.026243438944220543,
-0.009058237075805664,
0.013339941389858723,
0.019841423258185387,
-0.05317919701337814,
-0.04354539513587952,
-0.042658332735300064,
0.06843841075897217,
-0.07847746461629868,
-0.10054538398981094,
-0.020169563591480255,
0.0637282207608223,
-0.022724200040102005,
-0.027985829859972,
-0.0025702472776174545,
0.10812033712863922,
-0.013618692755699158,
0.08246291428804398,
-0.07000844180583954,
-0.010423355735838413,
0.06754157692193985,
0.014247605577111244,
0.006983518600463867,
-4.044409536859009e-33,
0.02645029127597809,
-0.025088781490921974,
0.02671140432357788,
0.08959496021270752,
0.03763212636113167,
0.0670415535569191,
-0.046870987862348557,
0.03317160904407501,
-0.08492499589920044,
-0.014882025308907032,
0.02777251787483692,
-0.005066241603344679,
0.015395330265164375,
-0.008131330832839012,
0.05130970850586891,
-0.005343935918062925,
0.06337280571460724,
-0.020045114681124687,
0.02777925133705139,
-0.04998952895402908,
0.06570165604352951,
-0.058334607630968094,
0.0063742720521986485,
0.06545986235141754,
0.14148865640163422,
0.0005550950299948454,
-0.10999120771884918,
0.061884280294179916,
-0.024175379425287247,
0.014171884395182133,
-0.014207701198756695,
-0.05219481512904167,
-0.06724409013986588,
-0.025695649906992912,
-0.043394047766923904,
0.10914281010627747,
-0.06495825946331024,
0.012835986912250519,
0.01063213124871254,
0.08079003542661667,
-0.0010371089447289705,
-0.11845581233501434,
-0.03929184377193451,
0.04635300114750862,
0.05315785109996796,
0.021004850044846535,
-0.07438834756612778,
0.058193691074848175,
-0.13275377452373505,
0.044945988804101944,
0.04637017101049423,
0.07359827309846878,
-0.010663078166544437,
-0.060516227036714554,
-0.07609177380800247,
0.14310212433338165,
0.029346652328968048,
0.045215968042612076,
-0.026538517326116562,
-0.0404491163790226,
0.015788985416293144,
-0.07540097832679749,
-0.013328318484127522,
0.04548664763569832,
-0.019221672788262367,
-0.06857053190469742,
0.05085241049528122,
-0.05131132900714874,
0.07399643957614899,
0.040938980877399445,
0.022738970816135406,
0.015519138425588608,
-0.006306731142103672,
-0.011118625290691853,
0.05884706601500511,
-0.012150371447205544,
-0.03145800158381462,
-0.059527743607759476,
0.015177508816123009,
-0.06084659323096275,
-0.06450318545103073,
0.09085092693567276,
0.08107582479715347,
0.010963419452309608,
-0.06756048649549484,
-0.0013180823298171163,
0.0338096059858799,
-0.01177027728408575,
-0.024955006316304207,
-0.0009758835658431053,
0.017153989523649216,
-0.05425336956977844,
-0.04744373634457588,
-0.0765298455953598,
-0.06806984543800354,
-4.863342084604483e-8,
-0.08927769213914871,
0.04764348641037941,
0.03378451243042946,
0.008816509507596493,
0.03418268635869026,
-0.00854753702878952,
0.09136542677879333,
-0.09360957890748978,
0.07131955772638321,
0.07465376704931259,
0.02966105006635189,
0.005755845922976732,
0.011506800539791584,
-0.06048477441072464,
-0.059249550104141235,
-0.04117539897561073,
0.005837845616042614,
-0.08980856835842133,
0.026186533272266388,
-0.05845163017511368,
-0.015268071554601192,
-0.041469622403383255,
-0.023911485448479652,
0.08201972395181656,
0.011357937008142471,
-0.050434138625860214,
-0.01905915141105652,
0.0052070580422878265,
-0.00207842281088233,
-0.012497912161052227,
-0.03192184865474701,
-0.022461945191025734,
0.06661918014287949,
0.010259576141834259,
-0.05956210568547249,
-0.00996403768658638,
-0.06916048377752304,
-0.03672264143824577,
-0.002733079018071294,
-0.0019547934643924236,
0.05238639563322067,
0.06629759818315506,
-0.016181930899620056,
0.040252041071653366,
0.010904353111982346,
-0.04612860828638077,
0.004331887234002352,
0.01871594600379467,
-0.012999782338738441,
-0.05040962994098663,
0.017126740887761116,
-0.011686018668115139,
-0.01849261298775673,
0.012555810622870922,
-0.015816442668437958,
-0.032018065452575684,
0.10391958057880402,
-0.017472947016358376,
0.04710588976740837,
0.05389534309506416,
-0.0707724541425705,
0.06988362222909927,
-0.08809854090213776,
-0.10658439993858337
] | null | null | null | null | null | null | null |
[
0.018198587000370026,
-0.10082840919494629,
-0.00673066359013319,
-0.03606705367565155,
-0.06483674049377441,
-0.0034195659682154655,
-0.0003608863626141101,
-0.013017849996685982,
0.07599171251058578,
-0.020446302369236946,
0.09851516038179398,
0.07992212474346161,
0.029576465487480164,
-0.003753183875232935,
0.01833348162472248,
0.08269184082746506,
0.05327022448182106,
-0.03925708681344986,
-0.08703862130641937,
-0.04042084887623787,
-0.04009758681058884,
-0.0026172881480306387,
-0.06815167516469955,
0.020341996103525162,
-0.01577281579375267,
0.02959528937935829,
-0.10449479520320892,
-0.03016313537955284,
-0.04029014706611633,
0.01818522997200489,
-0.018733391538262367,
-0.10909062623977661,
-0.004616216290742159,
-0.015626540407538414,
-0.04182618111371994,
0.03749735653400421,
-0.029872823506593704,
0.009459365159273148,
0.037891995161771774,
0.06892438977956772,
0.06752712279558182,
0.012459037825465202,
-0.007910438813269138,
-0.01859293319284916,
0.022511810064315796,
-0.008897684514522552,
-0.11321741342544556,
0.10978788137435913,
-0.08326724171638489,
-0.018993718549609184,
-0.06071418896317482,
0.025420550256967545,
-0.010360383428633213,
0.009307357482612133,
0.14132575690746307,
0.006634350400418043,
0.018991563469171524,
0.08108793199062347,
-0.04614166170358658,
-0.022083774209022522,
0.06920873373746872,
0.03449460491538048,
0.034166425466537476,
0.03682243078947067,
0.005243940278887749,
0.08193515986204147,
0.0037680461537092924,
0.08145740628242493,
-0.07390959560871124,
0.08868644386529922,
-0.00660659046843648,
-0.03154033049941063,
0.0541616789996624,
-0.009591148234903812,
0.01897842437028885,
-0.019602378830313683,
0.028446106240153313,
0.047499511390924454,
-0.022615861147642136,
-0.02482149563729763,
0.07318147271871567,
-0.001019009854644537,
-0.01704121008515358,
-0.00711593683809042,
-0.005464320536702871,
-0.02966650202870369,
-0.04645345360040665,
0.0068589202128350735,
0.0386551171541214,
-0.05197526142001152,
-0.03283287584781647,
0.00863354280591011,
0.029755661264061928,
0.03738115355372429,
0.05438436567783356,
-0.02474495768547058,
0.031120676547288895,
0.038556233048439026,
-0.032356780022382736,
0.036455173045396805,
-0.036250755190849304,
-0.07420318573713303,
0.06188146024942398,
0.022955331951379776,
-0.017639972269535065,
-0.0032300378661602736,
0.020585939288139343,
0.002966024447232485,
-0.010833634994924068,
-0.019844900816679,
0.014227611012756824,
-0.025615837424993515,
0.03931783512234688,
0.08486725389957428,
-0.04137447848916054,
-0.06328471750020981,
0.09321918338537216,
0.03278239071369171,
0.00031114782905206084,
0.008953106589615345,
0.0315118134021759,
-0.07182357460260391,
0.009183794260025024,
-0.049437835812568665,
-0.01088086050003767,
0.07401113212108612,
0.06936276704072952,
2.6032339936256987e-33,
-0.016766401007771492,
0.021552277728915215,
-0.00646688649430871,
-0.0029029950965195894,
0.061144329607486725,
0.035233594477176666,
-0.00707941222935915,
-0.06381170451641083,
-0.041198115795850754,
0.006866020150482655,
0.02733025886118412,
0.03151656314730644,
0.013665935955941677,
0.06838363409042358,
0.03436574339866638,
-0.01605461910367012,
0.05062334984540939,
-0.007628049235790968,
0.09222697466611862,
-0.052670884877443314,
0.06253673136234283,
-0.04068000987172127,
-0.07689833641052246,
0.055934738367795944,
-0.0783977061510086,
-0.039608489722013474,
-0.05018484964966774,
0.011027603410184383,
-0.0024159096647053957,
0.0047758519649505615,
-0.004687456879764795,
0.02024601586163044,
-0.06214805692434311,
0.016162166371941566,
0.010628854855895042,
0.05917596071958542,
-0.04922559857368469,
-0.09964928030967712,
-0.041579242795705795,
-0.0024026171304285526,
0.031506944447755814,
0.01738590933382511,
-0.040341705083847046,
-0.010626170784235,
-0.027010032907128334,
-0.061098381876945496,
0.01669422537088394,
0.04988069832324982,
-0.030738787725567818,
-0.0730026364326477,
-0.08759724348783493,
0.018269654363393784,
-0.021651702001690865,
-0.0610298253595829,
0.037220750004053116,
-0.03370939567685127,
0.01285079400986433,
0.04921099543571472,
-0.010290087200701237,
0.0763140320777893,
-0.03755296394228935,
-0.1007847711443901,
0.02504156529903412,
-0.09296209365129471,
0.11758265644311905,
0.06933987885713577,
-0.09954401105642319,
0.005469105672091246,
0.08026301115751266,
-0.05799393728375435,
0.08406781405210495,
0.050011832267045975,
-0.026243438944220543,
-0.009058237075805664,
0.013339941389858723,
0.019841423258185387,
-0.05317919701337814,
-0.04354539513587952,
-0.042658332735300064,
0.06843841075897217,
-0.07847746461629868,
-0.10054538398981094,
-0.020169563591480255,
0.0637282207608223,
-0.022724200040102005,
-0.027985829859972,
-0.0025702472776174545,
0.10812033712863922,
-0.013618692755699158,
0.08246291428804398,
-0.07000844180583954,
-0.010423355735838413,
0.06754157692193985,
0.014247605577111244,
0.006983518600463867,
-4.044409536859009e-33,
0.02645029127597809,
-0.025088781490921974,
0.02671140432357788,
0.08959496021270752,
0.03763212636113167,
0.0670415535569191,
-0.046870987862348557,
0.03317160904407501,
-0.08492499589920044,
-0.014882025308907032,
0.02777251787483692,
-0.005066241603344679,
0.015395330265164375,
-0.008131330832839012,
0.05130970850586891,
-0.005343935918062925,
0.06337280571460724,
-0.020045114681124687,
0.02777925133705139,
-0.04998952895402908,
0.06570165604352951,
-0.058334607630968094,
0.0063742720521986485,
0.06545986235141754,
0.14148865640163422,
0.0005550950299948454,
-0.10999120771884918,
0.061884280294179916,
-0.024175379425287247,
0.014171884395182133,
-0.014207701198756695,
-0.05219481512904167,
-0.06724409013986588,
-0.025695649906992912,
-0.043394047766923904,
0.10914281010627747,
-0.06495825946331024,
0.012835986912250519,
0.01063213124871254,
0.08079003542661667,
-0.0010371089447289705,
-0.11845581233501434,
-0.03929184377193451,
0.04635300114750862,
0.05315785109996796,
0.021004850044846535,
-0.07438834756612778,
0.058193691074848175,
-0.13275377452373505,
0.044945988804101944,
0.04637017101049423,
0.07359827309846878,
-0.010663078166544437,
-0.060516227036714554,
-0.07609177380800247,
0.14310212433338165,
0.029346652328968048,
0.045215968042612076,
-0.026538517326116562,
-0.0404491163790226,
0.015788985416293144,
-0.07540097832679749,
-0.013328318484127522,
0.04548664763569832,
-0.019221672788262367,
-0.06857053190469742,
0.05085241049528122,
-0.05131132900714874,
0.07399643957614899,
0.040938980877399445,
0.022738970816135406,
0.015519138425588608,
-0.006306731142103672,
-0.011118625290691853,
0.05884706601500511,
-0.012150371447205544,
-0.03145800158381462,
-0.059527743607759476,
0.015177508816123009,
-0.06084659323096275,
-0.06450318545103073,
0.09085092693567276,
0.08107582479715347,
0.010963419452309608,
-0.06756048649549484,
-0.0013180823298171163,
0.0338096059858799,
-0.01177027728408575,
-0.024955006316304207,
-0.0009758835658431053,
0.017153989523649216,
-0.05425336956977844,
-0.04744373634457588,
-0.0765298455953598,
-0.06806984543800354,
-4.863342084604483e-8,
-0.08927769213914871,
0.04764348641037941,
0.03378451243042946,
0.008816509507596493,
0.03418268635869026,
-0.00854753702878952,
0.09136542677879333,
-0.09360957890748978,
0.07131955772638321,
0.07465376704931259,
0.02966105006635189,
0.005755845922976732,
0.011506800539791584,
-0.06048477441072464,
-0.059249550104141235,
-0.04117539897561073,
0.005837845616042614,
-0.08980856835842133,
0.026186533272266388,
-0.05845163017511368,
-0.015268071554601192,
-0.041469622403383255,
-0.023911485448479652,
0.08201972395181656,
0.011357937008142471,
-0.050434138625860214,
-0.01905915141105652,
0.0052070580422878265,
-0.00207842281088233,
-0.012497912161052227,
-0.03192184865474701,
-0.022461945191025734,
0.06661918014287949,
0.010259576141834259,
-0.05956210568547249,
-0.00996403768658638,
-0.06916048377752304,
-0.03672264143824577,
-0.002733079018071294,
-0.0019547934643924236,
0.05238639563322067,
0.06629759818315506,
-0.016181930899620056,
0.040252041071653366,
0.010904353111982346,
-0.04612860828638077,
0.004331887234002352,
0.01871594600379467,
-0.012999782338738441,
-0.05040962994098663,
0.017126740887761116,
-0.011686018668115139,
-0.01849261298775673,
0.012555810622870922,
-0.015816442668437958,
-0.032018065452575684,
0.10391958057880402,
-0.017472947016358376,
0.04710588976740837,
0.05389534309506416,
-0.0707724541425705,
0.06988362222909927,
-0.08809854090213776,
-0.10658439993858337
] |
1401.6543
|
Ananthanarayanan Chockalingam
|
T. Lakshmi Narasimhan, Yalagala Naresh, Tanumay Datta, and A.
Chockalingam
|
Pseudo-random Phase Precoded Spatial Modulation
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spatial modulation (SM) is a transmission scheme that uses multiple transmit
antennas but only one transmit RF chain. At each time instant, only one among
the transmit antennas will be active and the others remain silent. The index of
the active transmit antenna will also convey information bits in addition to
the information bits conveyed through modulation symbols (e.g.,QAM).
Pseudo-random phase precoding (PRPP) is a technique that can achieve high
diversity orders even in single antenna systems without the need for channel
state information at the transmitter (CSIT) and transmit power control (TPC).
In this paper, we exploit the advantages of both SM and PRPP simultaneously. We
propose a pseudo-random phase precoded SM (PRPP-SM) scheme, where both the
modulation bits and the antenna index bits are precoded by pseudo-random
phases. The proposed PRPP-SM system gives significant performance gains over SM
system without PRPP and PRPP system without SM. Since maximum likelihood (ML)
detection becomes exponentially complex in large dimensions, we propose low
complexity local search based detection (LSD) algorithm suited for PRPP-SM
systems with large precoder sizes. Our simulation results show that with 4
transmit antennas, 1 receive antenna, $5\times 20$ pseudo-random phase precoder
matrix and BPSK modulation, the performance of PRPP-SM using ML detection is
better than SM without PRPP with ML detection by about 9 dB at $10^{-2}$ BER.
This performance advantage gets even better for large precoding sizes.
|
[
{
"created": "Sat, 25 Jan 2014 15:03:27 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Narasimhan",
"T. Lakshmi",
""
],
[
"Naresh",
"Yalagala",
""
],
[
"Datta",
"Tanumay",
""
],
[
"Chockalingam",
"A.",
""
]
] |
[
-0.007168736308813095,
0.039886314421892166,
-0.04514370858669281,
0.05350828543305397,
0.10469299554824829,
0.02551399916410446,
0.02076970972120762,
-0.09441652148962021,
0.06735053658485413,
0.03506932780146599,
-0.022938992828130722,
0.05353651940822601,
0.014950761571526527,
0.013202561996877193,
0.04444708302617073,
-0.030615484341979027,
0.042892660945653915,
-0.0008574954117648304,
0.01931741274893284,
0.037612952291965485,
0.04060177505016327,
0.038485512137413025,
-0.018147878348827362,
-0.015203322283923626,
0.0989677757024765,
-0.10560371726751328,
0.11327428370714188,
-0.022150130942463875,
0.008713607676327229,
0.05942416563630104,
0.006279574241489172,
0.029724624007940292,
0.09651388972997665,
-0.04832441732287407,
-0.07230209559202194,
0.04838878661394119,
-0.01775374636054039,
-0.015265248715877533,
0.03156908228993416,
0.04620307683944702,
-0.08623730391263962,
-0.0014377286424860358,
-0.052751898765563965,
0.08048240095376968,
-0.1021835058927536,
-0.022232329472899437,
0.04280633106827736,
0.004921631887555122,
0.021956657990813255,
-0.08584021031856537,
0.019630739465355873,
0.0032846955582499504,
-0.06176596134901047,
0.0394044890999794,
-0.01692228391766548,
-0.04280848056077957,
-0.07911857217550278,
0.0490536130964756,
-0.008879349566996098,
0.08731190115213394,
-0.05316799879074097,
-0.043350521475076675,
-0.01838824525475502,
-0.05918974429368973,
-0.009273760952055454,
0.016702067106962204,
0.03924785181879997,
0.07740144431591034,
0.0849035456776619,
-0.07300221920013428,
-0.01826472207903862,
-0.0035753361880779266,
0.0653306394815445,
0.08562590926885605,
0.08748123049736023,
0.07940693199634552,
-0.0203478392213583,
0.013769545592367649,
-0.03212849050760269,
0.02004104293882847,
-0.05631569027900696,
0.019315896555781364,
-0.04448940232396126,
-0.038407102227211,
0.06145583838224411,
0.006428627762943506,
-0.07284948229789734,
0.025790419429540634,
0.030394479632377625,
-0.05013131722807884,
-0.06577641516923904,
0.05614505335688591,
-0.06525445729494095,
0.047511424869298935,
0.00019620629609562457,
-0.0031078907195478678,
-0.06413590162992477,
-0.029428036883473396,
0.04271860793232918,
0.025675473734736443,
0.0769207552075386,
0.016441432759165764,
0.03723705932497978,
-0.07910070568323135,
-0.01777021959424019,
-0.049150511622428894,
0.007680437993258238,
0.048491694033145905,
0.04075976461172104,
-0.041159991174936295,
0.02741711400449276,
0.07645820081233978,
-0.007541671860963106,
-0.029405497014522552,
-0.07212145626544952,
0.060084812343120575,
-0.0357590988278389,
0.04315106198191643,
0.008333267644047737,
-0.027737123891711235,
-0.06421281397342682,
-0.1570204347372055,
-0.0060690101236104965,
0.020207324996590614,
-0.013401065021753311,
-0.020177165046334267,
-0.047743648290634155,
3.551122883428036e-33,
-0.05394332855939865,
0.0650879442691803,
-0.018926503136754036,
0.055670421570539474,
-0.056595463305711746,
0.01711968146264553,
0.03336724266409874,
0.03005206026136875,
0.049724970012903214,
0.10042823851108551,
0.061135224997997284,
0.01523448433727026,
-0.045532017946243286,
-0.048326730728149414,
0.05523933842778206,
-0.03772716596722603,
-0.020165735855698586,
-0.033490538597106934,
0.029257850721478462,
0.0066290381364524364,
0.05190615355968475,
-0.011383961886167526,
-0.048140354454517365,
-0.13476477563381195,
0.08116265386343002,
0.023007510229945183,
0.003195422003045678,
-0.13578371703624725,
0.00131378008518368,
0.051825691014528275,
-0.0535464882850647,
0.05087397247552872,
-0.02794053964316845,
-0.011742336675524712,
-0.03492661938071251,
-0.030293790623545647,
-0.039009395986795425,
-0.028582986444234848,
-0.11847493797540665,
-0.014723586849868298,
0.015808502212166786,
0.0028494982980191708,
-0.01632622256875038,
-0.028808442875742912,
0.021183732897043228,
-0.09882163256406784,
-0.05824373662471771,
0.059774529188871384,
-0.051925379782915115,
0.06594140827655792,
0.05209606885910034,
0.0008118515834212303,
-0.04684455320239067,
0.08732741326093674,
0.11098385602235794,
0.012734398245811462,
-0.0061747170984745026,
0.040325891226530075,
0.03960941731929779,
0.061420880258083344,
-0.07264147698879242,
-0.0882049947977066,
-0.00514230178669095,
0.03690699487924576,
-0.003644796786829829,
-0.04709576442837715,
0.002343197353184223,
-0.04502321407198906,
-0.006316448096185923,
0.04814373329281807,
0.057765185832977295,
0.028354061767458916,
0.023709485307335854,
-0.06117754429578781,
-0.03831513971090317,
0.0004995422204956412,
0.05900263786315918,
0.05226235091686249,
-0.0013607133878394961,
0.013690315186977386,
0.024857159703969955,
0.027250399813055992,
-0.07361762970685959,
0.029305491596460342,
0.07250355929136276,
0.043940674513578415,
0.023449746891856194,
-0.0517834797501564,
-0.07934609800577164,
-0.029868341982364655,
-0.014470553956925869,
0.03603788837790489,
0.013757610693573952,
0.024492500349879265,
-0.05375543236732483,
-3.45595375875951e-33,
-0.04324502870440483,
0.0034075144212692976,
-0.014665449038147926,
-0.05156566947698593,
-0.03966803103685379,
-0.1127760037779808,
-0.007463082671165466,
-0.017279766499996185,
-0.07913611829280853,
0.0006434435490518808,
-0.03920423984527588,
-0.08561350405216217,
0.016732485964894295,
0.04825903847813606,
0.027989039197564125,
0.07380039244890213,
0.09174659848213196,
0.017816796898841858,
0.056857068091630936,
0.03603291139006615,
0.013058774173259735,
0.06003871560096741,
0.0034931665286421776,
0.07280000299215317,
0.009197219274938107,
-0.0000575208650843706,
-0.029670681804418564,
0.11466816067695618,
-0.0195256806910038,
0.053378619253635406,
-0.007599429693073034,
0.039510149508714676,
0.02814057469367981,
0.03952208533883095,
-0.026555664837360382,
0.010969027876853943,
0.09674296528100967,
0.012765309773385525,
0.032110556960105896,
0.07388314604759216,
0.0724746361374855,
-0.04075279459357262,
-0.01464778371155262,
0.014900957234203815,
-0.05100609362125397,
-0.11523725837469101,
0.01191485021263361,
0.07255878299474716,
0.041424427181482315,
0.019784918054938316,
0.032187700271606445,
-0.030688462778925896,
-0.02786831371486187,
-0.04158833622932434,
0.023364750668406487,
-0.04706011712551117,
-0.08086873590946198,
0.08672096580266953,
0.029406897723674774,
-0.011280377395451069,
0.009014545939862728,
-0.08534231036901474,
-0.03376640006899834,
0.03638928383588791,
-0.031657375395298004,
-0.057583097368478775,
0.12098696827888489,
-0.007231955882161856,
0.008165325969457626,
0.06039394810795784,
-0.003713322104886174,
-0.00638866052031517,
-0.024635277688503265,
0.0011876262724399567,
-0.017974430695176125,
0.06772667169570923,
0.026214666664600372,
0.06227684020996094,
-0.012200543656945229,
0.03087526001036167,
0.010371961630880833,
0.022861298173666,
-0.049760401248931885,
-0.022142944857478142,
0.01902763918042183,
0.05905022472143173,
-0.015096577815711498,
-0.04028504341840744,
0.013623791746795177,
-0.06647444516420364,
-0.04443854093551636,
0.10061570256948471,
0.049222853034734726,
0.015051945112645626,
0.06062918156385422,
-4.7549018944437194e-8,
0.013520317152142525,
-0.07503128051757812,
-0.00523411063477397,
-0.05874871090054512,
0.027402833104133606,
-0.021407002583146095,
-0.058773353695869446,
-0.025065531954169273,
-0.06176680698990822,
-0.0929945558309555,
0.03304159641265869,
-0.013296989724040031,
-0.06859169900417328,
-0.028396001085639,
0.017016327008605003,
-0.04260408878326416,
-0.04417857155203819,
-0.09179947525262833,
0.005166375078260899,
0.07744024693965912,
-0.04012298956513405,
0.03756299242377281,
0.0562748908996582,
-0.006472000386565924,
0.0033558423165231943,
0.016137225553393364,
0.0698380321264267,
-0.005981446243822575,
0.057672008872032166,
0.01234515942633152,
-0.02320699766278267,
-0.048676054924726486,
-0.06667565554380417,
0.0937584936618805,
-0.10554767400026321,
0.024829121306538582,
0.0420973114669323,
-0.022859029471874237,
-0.031247533857822418,
-0.04206829518079758,
0.08559196442365646,
-0.09786278009414673,
-0.07275505363941193,
0.019240213558077812,
-0.03883396461606026,
0.013607199303805828,
0.04411930963397026,
-0.029714912176132202,
0.028677238151431084,
-0.08688922226428986,
-0.03388382866978645,
0.02767806313931942,
-0.036892909556627274,
-0.030039170756936073,
-0.022532109171152115,
0.039694562554359436,
-0.010221501812338829,
0.020279545336961746,
0.08566797524690628,
-0.0030627555679529905,
-0.07635221630334854,
0.09342846274375916,
-0.10562341660261154,
-0.039240166544914246
] | null | null | null | null | null | null | null |
[
-0.007168736308813095,
0.039886314421892166,
-0.04514370858669281,
0.05350828543305397,
0.10469299554824829,
0.02551399916410446,
0.02076970972120762,
-0.09441652148962021,
0.06735053658485413,
0.03506932780146599,
-0.022938992828130722,
0.05353651940822601,
0.014950761571526527,
0.013202561996877193,
0.04444708302617073,
-0.030615484341979027,
0.042892660945653915,
-0.0008574954117648304,
0.01931741274893284,
0.037612952291965485,
0.04060177505016327,
0.038485512137413025,
-0.018147878348827362,
-0.015203322283923626,
0.0989677757024765,
-0.10560371726751328,
0.11327428370714188,
-0.022150130942463875,
0.008713607676327229,
0.05942416563630104,
0.006279574241489172,
0.029724624007940292,
0.09651388972997665,
-0.04832441732287407,
-0.07230209559202194,
0.04838878661394119,
-0.01775374636054039,
-0.015265248715877533,
0.03156908228993416,
0.04620307683944702,
-0.08623730391263962,
-0.0014377286424860358,
-0.052751898765563965,
0.08048240095376968,
-0.1021835058927536,
-0.022232329472899437,
0.04280633106827736,
0.004921631887555122,
0.021956657990813255,
-0.08584021031856537,
0.019630739465355873,
0.0032846955582499504,
-0.06176596134901047,
0.0394044890999794,
-0.01692228391766548,
-0.04280848056077957,
-0.07911857217550278,
0.0490536130964756,
-0.008879349566996098,
0.08731190115213394,
-0.05316799879074097,
-0.043350521475076675,
-0.01838824525475502,
-0.05918974429368973,
-0.009273760952055454,
0.016702067106962204,
0.03924785181879997,
0.07740144431591034,
0.0849035456776619,
-0.07300221920013428,
-0.01826472207903862,
-0.0035753361880779266,
0.0653306394815445,
0.08562590926885605,
0.08748123049736023,
0.07940693199634552,
-0.0203478392213583,
0.013769545592367649,
-0.03212849050760269,
0.02004104293882847,
-0.05631569027900696,
0.019315896555781364,
-0.04448940232396126,
-0.038407102227211,
0.06145583838224411,
0.006428627762943506,
-0.07284948229789734,
0.025790419429540634,
0.030394479632377625,
-0.05013131722807884,
-0.06577641516923904,
0.05614505335688591,
-0.06525445729494095,
0.047511424869298935,
0.00019620629609562457,
-0.0031078907195478678,
-0.06413590162992477,
-0.029428036883473396,
0.04271860793232918,
0.025675473734736443,
0.0769207552075386,
0.016441432759165764,
0.03723705932497978,
-0.07910070568323135,
-0.01777021959424019,
-0.049150511622428894,
0.007680437993258238,
0.048491694033145905,
0.04075976461172104,
-0.041159991174936295,
0.02741711400449276,
0.07645820081233978,
-0.007541671860963106,
-0.029405497014522552,
-0.07212145626544952,
0.060084812343120575,
-0.0357590988278389,
0.04315106198191643,
0.008333267644047737,
-0.027737123891711235,
-0.06421281397342682,
-0.1570204347372055,
-0.0060690101236104965,
0.020207324996590614,
-0.013401065021753311,
-0.020177165046334267,
-0.047743648290634155,
3.551122883428036e-33,
-0.05394332855939865,
0.0650879442691803,
-0.018926503136754036,
0.055670421570539474,
-0.056595463305711746,
0.01711968146264553,
0.03336724266409874,
0.03005206026136875,
0.049724970012903214,
0.10042823851108551,
0.061135224997997284,
0.01523448433727026,
-0.045532017946243286,
-0.048326730728149414,
0.05523933842778206,
-0.03772716596722603,
-0.020165735855698586,
-0.033490538597106934,
0.029257850721478462,
0.0066290381364524364,
0.05190615355968475,
-0.011383961886167526,
-0.048140354454517365,
-0.13476477563381195,
0.08116265386343002,
0.023007510229945183,
0.003195422003045678,
-0.13578371703624725,
0.00131378008518368,
0.051825691014528275,
-0.0535464882850647,
0.05087397247552872,
-0.02794053964316845,
-0.011742336675524712,
-0.03492661938071251,
-0.030293790623545647,
-0.039009395986795425,
-0.028582986444234848,
-0.11847493797540665,
-0.014723586849868298,
0.015808502212166786,
0.0028494982980191708,
-0.01632622256875038,
-0.028808442875742912,
0.021183732897043228,
-0.09882163256406784,
-0.05824373662471771,
0.059774529188871384,
-0.051925379782915115,
0.06594140827655792,
0.05209606885910034,
0.0008118515834212303,
-0.04684455320239067,
0.08732741326093674,
0.11098385602235794,
0.012734398245811462,
-0.0061747170984745026,
0.040325891226530075,
0.03960941731929779,
0.061420880258083344,
-0.07264147698879242,
-0.0882049947977066,
-0.00514230178669095,
0.03690699487924576,
-0.003644796786829829,
-0.04709576442837715,
0.002343197353184223,
-0.04502321407198906,
-0.006316448096185923,
0.04814373329281807,
0.057765185832977295,
0.028354061767458916,
0.023709485307335854,
-0.06117754429578781,
-0.03831513971090317,
0.0004995422204956412,
0.05900263786315918,
0.05226235091686249,
-0.0013607133878394961,
0.013690315186977386,
0.024857159703969955,
0.027250399813055992,
-0.07361762970685959,
0.029305491596460342,
0.07250355929136276,
0.043940674513578415,
0.023449746891856194,
-0.0517834797501564,
-0.07934609800577164,
-0.029868341982364655,
-0.014470553956925869,
0.03603788837790489,
0.013757610693573952,
0.024492500349879265,
-0.05375543236732483,
-3.45595375875951e-33,
-0.04324502870440483,
0.0034075144212692976,
-0.014665449038147926,
-0.05156566947698593,
-0.03966803103685379,
-0.1127760037779808,
-0.007463082671165466,
-0.017279766499996185,
-0.07913611829280853,
0.0006434435490518808,
-0.03920423984527588,
-0.08561350405216217,
0.016732485964894295,
0.04825903847813606,
0.027989039197564125,
0.07380039244890213,
0.09174659848213196,
0.017816796898841858,
0.056857068091630936,
0.03603291139006615,
0.013058774173259735,
0.06003871560096741,
0.0034931665286421776,
0.07280000299215317,
0.009197219274938107,
-0.0000575208650843706,
-0.029670681804418564,
0.11466816067695618,
-0.0195256806910038,
0.053378619253635406,
-0.007599429693073034,
0.039510149508714676,
0.02814057469367981,
0.03952208533883095,
-0.026555664837360382,
0.010969027876853943,
0.09674296528100967,
0.012765309773385525,
0.032110556960105896,
0.07388314604759216,
0.0724746361374855,
-0.04075279459357262,
-0.01464778371155262,
0.014900957234203815,
-0.05100609362125397,
-0.11523725837469101,
0.01191485021263361,
0.07255878299474716,
0.041424427181482315,
0.019784918054938316,
0.032187700271606445,
-0.030688462778925896,
-0.02786831371486187,
-0.04158833622932434,
0.023364750668406487,
-0.04706011712551117,
-0.08086873590946198,
0.08672096580266953,
0.029406897723674774,
-0.011280377395451069,
0.009014545939862728,
-0.08534231036901474,
-0.03376640006899834,
0.03638928383588791,
-0.031657375395298004,
-0.057583097368478775,
0.12098696827888489,
-0.007231955882161856,
0.008165325969457626,
0.06039394810795784,
-0.003713322104886174,
-0.00638866052031517,
-0.024635277688503265,
0.0011876262724399567,
-0.017974430695176125,
0.06772667169570923,
0.026214666664600372,
0.06227684020996094,
-0.012200543656945229,
0.03087526001036167,
0.010371961630880833,
0.022861298173666,
-0.049760401248931885,
-0.022142944857478142,
0.01902763918042183,
0.05905022472143173,
-0.015096577815711498,
-0.04028504341840744,
0.013623791746795177,
-0.06647444516420364,
-0.04443854093551636,
0.10061570256948471,
0.049222853034734726,
0.015051945112645626,
0.06062918156385422,
-4.7549018944437194e-8,
0.013520317152142525,
-0.07503128051757812,
-0.00523411063477397,
-0.05874871090054512,
0.027402833104133606,
-0.021407002583146095,
-0.058773353695869446,
-0.025065531954169273,
-0.06176680698990822,
-0.0929945558309555,
0.03304159641265869,
-0.013296989724040031,
-0.06859169900417328,
-0.028396001085639,
0.017016327008605003,
-0.04260408878326416,
-0.04417857155203819,
-0.09179947525262833,
0.005166375078260899,
0.07744024693965912,
-0.04012298956513405,
0.03756299242377281,
0.0562748908996582,
-0.006472000386565924,
0.0033558423165231943,
0.016137225553393364,
0.0698380321264267,
-0.005981446243822575,
0.057672008872032166,
0.01234515942633152,
-0.02320699766278267,
-0.048676054924726486,
-0.06667565554380417,
0.0937584936618805,
-0.10554767400026321,
0.024829121306538582,
0.0420973114669323,
-0.022859029471874237,
-0.031247533857822418,
-0.04206829518079758,
0.08559196442365646,
-0.09786278009414673,
-0.07275505363941193,
0.019240213558077812,
-0.03883396461606026,
0.013607199303805828,
0.04411930963397026,
-0.029714912176132202,
0.028677238151431084,
-0.08688922226428986,
-0.03388382866978645,
0.02767806313931942,
-0.036892909556627274,
-0.030039170756936073,
-0.022532109171152115,
0.039694562554359436,
-0.010221501812338829,
0.020279545336961746,
0.08566797524690628,
-0.0030627555679529905,
-0.07635221630334854,
0.09342846274375916,
-0.10562341660261154,
-0.039240166544914246
] |
1401.6546
|
Iver Brevik
|
Iver Brevik
|
Explanation for the Transverse Radiation Force Observed on a Vertically
Hanging Fiber
|
9 pages latex, no figures. To appear in Phys. Rev. A
|
Physical Review A, vol 89, paper 025802 (2014)
|
10.1103/PhysRevA.89.025802
| null |
physics.optics quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As shown in the experiment of She {\it et al.} [Phys. Rev. Lett. {\bf 101},
243601 (2008)], a weak laser beam sent through a vertically hanging fiber
exerts a transverse force and produces a lateral displacement of the fiber's
lower end. The experiment is of obvious theoretical interest in connection with
the electromagnetic theory of media. Suggested explanations given for this
effect in the past include the famous Abraham-Minkowski issue concerning the
"correct" photon momentum in matter. In our opinion such an explanation can
hardly be right. Instead, we propose instead a very simple description of the
effect implying that the sideways deflection is caused by the radiation force
on the {\it obliquely cut} lower end face of the fiber. From a calculation
based upon geometrical optics, we find quite good agreement with the
observations. We present also, as an alternative approach, a calculation
involving wave optics instead of geometrical optics, and find comparable
results.
|
[
{
"created": "Sat, 25 Jan 2014 15:35:08 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Brevik",
"Iver",
""
]
] |
[
-0.015499377623200417,
-0.02015409804880619,
0.06640834361314774,
0.0571565143764019,
-0.02408093959093094,
-0.04769514128565788,
0.016631130129098892,
0.056290630251169205,
-0.010085321962833405,
0.033943381160497665,
0.056585438549518585,
0.12776802480220795,
-0.07110599428415298,
-0.04244066774845123,
-0.007975560612976551,
-0.04638698324561119,
0.032438572496175766,
0.004557971842586994,
-0.052487343549728394,
0.13022053241729736,
-0.010915257968008518,
-0.042277827858924866,
-0.0032431178260594606,
0.04297785833477974,
-0.028773104771971703,
-0.05459298938512802,
0.028422605246305466,
0.019525524228811264,
0.03232639282941818,
-0.007349859923124313,
0.1084771379828453,
-0.013321462087333202,
-0.11073402315378189,
0.07317542284727097,
0.03181711584329605,
0.0153007498010993,
0.08180563151836395,
-0.07276884466409683,
-0.0203486867249012,
0.035406749695539474,
-0.017194291576743126,
-0.020852187648415565,
0.025142956525087357,
0.08133592456579208,
0.03580624982714653,
0.023578481748700142,
0.05147036537528038,
-0.07243189960718155,
-0.0878063514828682,
0.023273268714547157,
-0.046235665678977966,
-0.008542031049728394,
-0.02887854538857937,
0.04383900761604309,
0.015968739986419678,
0.0332813560962677,
0.01511856447905302,
0.050838571041822433,
0.029549825936555862,
0.02528434619307518,
0.09067098796367645,
-0.07495008409023285,
-0.08524836599826813,
-0.01918591745197773,
0.06776139885187149,
-0.058645520359277725,
0.026620669290423393,
-0.023991405963897705,
-0.04825349897146225,
0.05291765555739403,
0.09766361117362976,
-0.011498923413455486,
-0.1219671219587326,
-0.009357593953609467,
0.05795622617006302,
-0.022814873605966568,
-0.0010569887235760689,
0.08527614921331406,
-0.04119753837585449,
0.08108188211917877,
0.04836941882967949,
-0.07539720088243484,
-0.05999554321169853,
0.05099106952548027,
-0.14324688911437988,
0.02484622597694397,
0.009075413458049297,
0.01916193775832653,
-0.07096587866544724,
-0.017057344317436218,
0.024608369916677475,
-0.07264658808708191,
-0.036233022809028625,
-0.003949781414121389,
0.04790918529033661,
-0.0662059634923935,
-0.06014612317085266,
-0.1247091293334961,
-0.024693407118320465,
0.009205536916851997,
0.05029021203517914,
-0.037807613611221313,
-0.045781299471855164,
0.043196700513362885,
-0.06034628301858902,
-0.004979495424777269,
0.006755901034921408,
0.04275306314229965,
-0.0816536396741867,
0.05633988603949547,
-0.005595839116722345,
0.01224853191524744,
-0.046214908361434937,
-0.030067143961787224,
-0.030899489298462868,
-0.004669768735766411,
0.029350506141781807,
0.06644590944051743,
-0.0656563863158226,
-0.01502684224396944,
-0.003513368545100093,
0.013563861139118671,
0.018728645518422127,
0.05582988262176514,
-0.022838447242975235,
0.013534332625567913,
-0.038517825305461884,
1.8605105613571062e-33,
0.024937842041254044,
0.030533326789736748,
-0.013696367852389812,
-0.007588705979287624,
0.02697586454451084,
-0.07426101714372635,
0.04040016233921051,
0.00267014023847878,
-0.03122887574136257,
-0.013338536955416203,
0.0005938843823969364,
0.04134706035256386,
-0.001852945308201015,
-0.024424664676189423,
-0.015230040065944195,
-0.06780163943767548,
0.011806374415755272,
0.03511619567871094,
-0.051505301147699356,
0.08823589980602264,
0.006820421665906906,
0.01920424960553646,
0.0409248061478138,
-0.06441263854503632,
-0.05771651491522789,
-0.0013190859463065863,
-0.07497060298919678,
0.008839872665703297,
-0.047827109694480896,
0.010669458657503128,
-0.07308298349380493,
-0.003166734240949154,
0.049471184611320496,
0.0018088967772200704,
-0.009837253019213676,
-0.029592804610729218,
0.014147489331662655,
0.014910378493368626,
-0.07401904463768005,
0.07410414516925812,
-0.04218154773116112,
0.008241201750934124,
0.027367161586880684,
0.020195690914988518,
0.06000804528594017,
-0.03910773992538452,
-0.03257513418793678,
-0.008243951015174389,
-0.02524113468825817,
0.054028209298849106,
0.05721735954284668,
-0.008947188965976238,
0.004634402226656675,
0.05208069458603859,
0.04926278814673424,
-0.014084150083363056,
-0.041319914162158966,
-0.00863623060286045,
-0.0409378819167614,
-0.09349382668733597,
0.08806517720222473,
-0.04420776665210724,
0.04541317746043205,
-0.022112596780061722,
-0.050534579902887344,
-0.03967459127306938,
-0.059125564992427826,
0.022719688713550568,
-0.019779713824391365,
0.05377192422747612,
-0.13022130727767944,
0.03846143186092377,
-0.045993439853191376,
0.0052407123148441315,
0.025152135640382767,
0.06276825815439224,
-0.07705045491456985,
0.07077087461948395,
0.06606531143188477,
0.03561516851186752,
-0.017520243301987648,
-0.015967627987265587,
0.059545475989580154,
-0.02347000315785408,
-0.008863845840096474,
0.08292508125305176,
-0.027221471071243286,
-0.08916781842708588,
-0.0626697912812233,
-0.04312973469495773,
0.023898335173726082,
0.048218559473752975,
-0.000648223387543112,
-0.0032797243911772966,
-0.006324712187051773,
-3.2621529438753164e-33,
-0.042917605489492416,
-0.031024780124425888,
-0.06029728055000305,
0.06261556595563889,
-0.016486991196870804,
0.00007617290975758806,
0.07117632776498795,
-0.002430070424452424,
-0.04354293271899223,
-0.027065053582191467,
0.05563866347074509,
-0.015850437805056572,
-0.1194419115781784,
0.03364038094878197,
0.014285078272223473,
-0.01405464205890894,
0.022112378850579262,
-0.10745823383331299,
-0.011306400410830975,
0.018542557954788208,
0.05618962273001671,
0.01865168660879135,
0.036671653389930725,
-0.03068295493721962,
0.03888602927327156,
0.015563159249722958,
0.04487617313861847,
-0.022250255569815636,
-0.014360489323735237,
-0.036484695971012115,
0.05545976758003235,
-0.07430119812488556,
0.014320768415927887,
-0.053088922053575516,
-0.01741267740726471,
0.0748603567481041,
-0.04037964344024658,
0.0540056936442852,
0.033111266791820526,
-0.10325806587934494,
0.002923647640272975,
0.11371996998786926,
0.07669638842344284,
-0.01315601821988821,
-0.03663045912981033,
-0.04722866788506508,
-0.039034903049468994,
0.011063704267144203,
-0.04454025626182556,
0.013866731896996498,
-0.05814915522933006,
0.09674307703971863,
0.07628684490919113,
0.10964515060186386,
-0.010915134102106094,
-0.009812962263822556,
0.004221422132104635,
0.021799882873892784,
0.007905574515461922,
0.12964589893817902,
-0.047192975878715515,
0.033594489097595215,
0.016525447368621826,
-0.04681192710995674,
0.1004423052072525,
0.12978853285312653,
-0.05199727043509483,
-0.041236184537410736,
-0.03554408997297287,
-0.05371038243174553,
0.08051111549139023,
0.054887689650058746,
-0.03977208212018013,
0.015270967967808247,
0.03863759711384773,
0.09749477356672287,
0.042508359998464584,
0.0405903086066246,
-0.009852761402726173,
0.08850102126598358,
-0.034036412835121155,
0.04962479695677757,
-0.04259231314063072,
-0.003119150409474969,
-0.01685113087296486,
-0.07563211768865585,
-0.07821910083293915,
-0.0692288875579834,
-0.03359856829047203,
-0.037179939448833466,
0.036466874182224274,
-0.06245375797152519,
0.08182400465011597,
-0.04939497634768486,
0.12193258851766586,
-5.622458587595247e-8,
-0.05003643035888672,
-0.027718381956219673,
-0.057258620858192444,
0.05125606060028076,
-0.008150153793394566,
0.01831422746181488,
-0.008907521143555641,
0.02364598959684372,
-0.024263476952910423,
-0.10328904539346695,
-0.03026098944246769,
-0.0068357945419847965,
-0.01022664736956358,
0.07409492135047913,
-0.027393940836191177,
0.0029695448465645313,
-0.003918659873306751,
-0.05862567201256752,
-0.02876221016049385,
0.038261543959379196,
0.02434743382036686,
-0.08041352778673172,
0.07608868181705475,
0.03598489612340927,
-0.11395781487226486,
0.053454793989658356,
-0.013071534223854542,
0.05441261827945709,
0.027417786419391632,
-0.01604919135570526,
0.03264585882425308,
-0.0296280849725008,
-0.03866708651185036,
0.017834700644016266,
-0.12014233320951462,
0.044021185487508774,
-0.04253893345594406,
0.023789433762431145,
-0.006754900794476271,
0.05602283403277397,
0.01491623092442751,
-0.006546563934534788,
0.028370600193738937,
0.025218121707439423,
0.06272769719362259,
0.08212968707084656,
0.016038019210100174,
-0.018674328923225403,
-0.05958636477589607,
0.07215402275323868,
-0.0010891435667872429,
0.056661829352378845,
0.02936706133186817,
0.04167407006025314,
-0.01112010981887579,
-0.028818489983677864,
0.05072207748889923,
0.001585307763889432,
-0.10502462834119797,
-0.0694928914308548,
0.05338532105088234,
0.022522589191794395,
-0.003370539518073201,
0.07885251194238663
] | null | null | null | null | null | null | null |
[
-0.015499377623200417,
-0.02015409804880619,
0.06640834361314774,
0.0571565143764019,
-0.02408093959093094,
-0.04769514128565788,
0.016631130129098892,
0.056290630251169205,
-0.010085321962833405,
0.033943381160497665,
0.056585438549518585,
0.12776802480220795,
-0.07110599428415298,
-0.04244066774845123,
-0.007975560612976551,
-0.04638698324561119,
0.032438572496175766,
0.004557971842586994,
-0.052487343549728394,
0.13022053241729736,
-0.010915257968008518,
-0.042277827858924866,
-0.0032431178260594606,
0.04297785833477974,
-0.028773104771971703,
-0.05459298938512802,
0.028422605246305466,
0.019525524228811264,
0.03232639282941818,
-0.007349859923124313,
0.1084771379828453,
-0.013321462087333202,
-0.11073402315378189,
0.07317542284727097,
0.03181711584329605,
0.0153007498010993,
0.08180563151836395,
-0.07276884466409683,
-0.0203486867249012,
0.035406749695539474,
-0.017194291576743126,
-0.020852187648415565,
0.025142956525087357,
0.08133592456579208,
0.03580624982714653,
0.023578481748700142,
0.05147036537528038,
-0.07243189960718155,
-0.0878063514828682,
0.023273268714547157,
-0.046235665678977966,
-0.008542031049728394,
-0.02887854538857937,
0.04383900761604309,
0.015968739986419678,
0.0332813560962677,
0.01511856447905302,
0.050838571041822433,
0.029549825936555862,
0.02528434619307518,
0.09067098796367645,
-0.07495008409023285,
-0.08524836599826813,
-0.01918591745197773,
0.06776139885187149,
-0.058645520359277725,
0.026620669290423393,
-0.023991405963897705,
-0.04825349897146225,
0.05291765555739403,
0.09766361117362976,
-0.011498923413455486,
-0.1219671219587326,
-0.009357593953609467,
0.05795622617006302,
-0.022814873605966568,
-0.0010569887235760689,
0.08527614921331406,
-0.04119753837585449,
0.08108188211917877,
0.04836941882967949,
-0.07539720088243484,
-0.05999554321169853,
0.05099106952548027,
-0.14324688911437988,
0.02484622597694397,
0.009075413458049297,
0.01916193775832653,
-0.07096587866544724,
-0.017057344317436218,
0.024608369916677475,
-0.07264658808708191,
-0.036233022809028625,
-0.003949781414121389,
0.04790918529033661,
-0.0662059634923935,
-0.06014612317085266,
-0.1247091293334961,
-0.024693407118320465,
0.009205536916851997,
0.05029021203517914,
-0.037807613611221313,
-0.045781299471855164,
0.043196700513362885,
-0.06034628301858902,
-0.004979495424777269,
0.006755901034921408,
0.04275306314229965,
-0.0816536396741867,
0.05633988603949547,
-0.005595839116722345,
0.01224853191524744,
-0.046214908361434937,
-0.030067143961787224,
-0.030899489298462868,
-0.004669768735766411,
0.029350506141781807,
0.06644590944051743,
-0.0656563863158226,
-0.01502684224396944,
-0.003513368545100093,
0.013563861139118671,
0.018728645518422127,
0.05582988262176514,
-0.022838447242975235,
0.013534332625567913,
-0.038517825305461884,
1.8605105613571062e-33,
0.024937842041254044,
0.030533326789736748,
-0.013696367852389812,
-0.007588705979287624,
0.02697586454451084,
-0.07426101714372635,
0.04040016233921051,
0.00267014023847878,
-0.03122887574136257,
-0.013338536955416203,
0.0005938843823969364,
0.04134706035256386,
-0.001852945308201015,
-0.024424664676189423,
-0.015230040065944195,
-0.06780163943767548,
0.011806374415755272,
0.03511619567871094,
-0.051505301147699356,
0.08823589980602264,
0.006820421665906906,
0.01920424960553646,
0.0409248061478138,
-0.06441263854503632,
-0.05771651491522789,
-0.0013190859463065863,
-0.07497060298919678,
0.008839872665703297,
-0.047827109694480896,
0.010669458657503128,
-0.07308298349380493,
-0.003166734240949154,
0.049471184611320496,
0.0018088967772200704,
-0.009837253019213676,
-0.029592804610729218,
0.014147489331662655,
0.014910378493368626,
-0.07401904463768005,
0.07410414516925812,
-0.04218154773116112,
0.008241201750934124,
0.027367161586880684,
0.020195690914988518,
0.06000804528594017,
-0.03910773992538452,
-0.03257513418793678,
-0.008243951015174389,
-0.02524113468825817,
0.054028209298849106,
0.05721735954284668,
-0.008947188965976238,
0.004634402226656675,
0.05208069458603859,
0.04926278814673424,
-0.014084150083363056,
-0.041319914162158966,
-0.00863623060286045,
-0.0409378819167614,
-0.09349382668733597,
0.08806517720222473,
-0.04420776665210724,
0.04541317746043205,
-0.022112596780061722,
-0.050534579902887344,
-0.03967459127306938,
-0.059125564992427826,
0.022719688713550568,
-0.019779713824391365,
0.05377192422747612,
-0.13022130727767944,
0.03846143186092377,
-0.045993439853191376,
0.0052407123148441315,
0.025152135640382767,
0.06276825815439224,
-0.07705045491456985,
0.07077087461948395,
0.06606531143188477,
0.03561516851186752,
-0.017520243301987648,
-0.015967627987265587,
0.059545475989580154,
-0.02347000315785408,
-0.008863845840096474,
0.08292508125305176,
-0.027221471071243286,
-0.08916781842708588,
-0.0626697912812233,
-0.04312973469495773,
0.023898335173726082,
0.048218559473752975,
-0.000648223387543112,
-0.0032797243911772966,
-0.006324712187051773,
-3.2621529438753164e-33,
-0.042917605489492416,
-0.031024780124425888,
-0.06029728055000305,
0.06261556595563889,
-0.016486991196870804,
0.00007617290975758806,
0.07117632776498795,
-0.002430070424452424,
-0.04354293271899223,
-0.027065053582191467,
0.05563866347074509,
-0.015850437805056572,
-0.1194419115781784,
0.03364038094878197,
0.014285078272223473,
-0.01405464205890894,
0.022112378850579262,
-0.10745823383331299,
-0.011306400410830975,
0.018542557954788208,
0.05618962273001671,
0.01865168660879135,
0.036671653389930725,
-0.03068295493721962,
0.03888602927327156,
0.015563159249722958,
0.04487617313861847,
-0.022250255569815636,
-0.014360489323735237,
-0.036484695971012115,
0.05545976758003235,
-0.07430119812488556,
0.014320768415927887,
-0.053088922053575516,
-0.01741267740726471,
0.0748603567481041,
-0.04037964344024658,
0.0540056936442852,
0.033111266791820526,
-0.10325806587934494,
0.002923647640272975,
0.11371996998786926,
0.07669638842344284,
-0.01315601821988821,
-0.03663045912981033,
-0.04722866788506508,
-0.039034903049468994,
0.011063704267144203,
-0.04454025626182556,
0.013866731896996498,
-0.05814915522933006,
0.09674307703971863,
0.07628684490919113,
0.10964515060186386,
-0.010915134102106094,
-0.009812962263822556,
0.004221422132104635,
0.021799882873892784,
0.007905574515461922,
0.12964589893817902,
-0.047192975878715515,
0.033594489097595215,
0.016525447368621826,
-0.04681192710995674,
0.1004423052072525,
0.12978853285312653,
-0.05199727043509483,
-0.041236184537410736,
-0.03554408997297287,
-0.05371038243174553,
0.08051111549139023,
0.054887689650058746,
-0.03977208212018013,
0.015270967967808247,
0.03863759711384773,
0.09749477356672287,
0.042508359998464584,
0.0405903086066246,
-0.009852761402726173,
0.08850102126598358,
-0.034036412835121155,
0.04962479695677757,
-0.04259231314063072,
-0.003119150409474969,
-0.01685113087296486,
-0.07563211768865585,
-0.07821910083293915,
-0.0692288875579834,
-0.03359856829047203,
-0.037179939448833466,
0.036466874182224274,
-0.06245375797152519,
0.08182400465011597,
-0.04939497634768486,
0.12193258851766586,
-5.622458587595247e-8,
-0.05003643035888672,
-0.027718381956219673,
-0.057258620858192444,
0.05125606060028076,
-0.008150153793394566,
0.01831422746181488,
-0.008907521143555641,
0.02364598959684372,
-0.024263476952910423,
-0.10328904539346695,
-0.03026098944246769,
-0.0068357945419847965,
-0.01022664736956358,
0.07409492135047913,
-0.027393940836191177,
0.0029695448465645313,
-0.003918659873306751,
-0.05862567201256752,
-0.02876221016049385,
0.038261543959379196,
0.02434743382036686,
-0.08041352778673172,
0.07608868181705475,
0.03598489612340927,
-0.11395781487226486,
0.053454793989658356,
-0.013071534223854542,
0.05441261827945709,
0.027417786419391632,
-0.01604919135570526,
0.03264585882425308,
-0.0296280849725008,
-0.03866708651185036,
0.017834700644016266,
-0.12014233320951462,
0.044021185487508774,
-0.04253893345594406,
0.023789433762431145,
-0.006754900794476271,
0.05602283403277397,
0.01491623092442751,
-0.006546563934534788,
0.028370600193738937,
0.025218121707439423,
0.06272769719362259,
0.08212968707084656,
0.016038019210100174,
-0.018674328923225403,
-0.05958636477589607,
0.07215402275323868,
-0.0010891435667872429,
0.056661829352378845,
0.02936706133186817,
0.04167407006025314,
-0.01112010981887579,
-0.028818489983677864,
0.05072207748889923,
0.001585307763889432,
-0.10502462834119797,
-0.0694928914308548,
0.05338532105088234,
0.022522589191794395,
-0.003370539518073201,
0.07885251194238663
] |
1401.6548
|
Stefan Hickel PhD
|
S Hickel, M. Mihatsch, S.J. Schmidt
|
Implicit Large Eddy Simulation of Cavitation in Micro Channel Flows
|
Proceedings of WIMRC 3rd International Cavitation Forum 2011 (ISBN
978-0-9570404-1-0)
| null | null | null |
physics.flu-dyn physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a numerical method for Large Eddy Simulations (LES) of
compressible two-phase flows. The method is validated for the flow in a micro
channel with a step-like restriction. This setup is representative for typical
cavitating multi-phase flows in fuel injectors and follows an experimental
study of Iben et al., 2010. While a diesel-like test fuel was used in the
experiment, we solve the compressible Navier-Stokes equations with a barotropic
equation of state for water and vapor and a simple phase-change model based on
equilibrium assumptions. Our LES resolve all wave dynamics in the compressible
fluid and the turbulence production in shear layers.
|
[
{
"created": "Sat, 25 Jan 2014 15:41:09 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Hickel",
"S",
""
],
[
"Mihatsch",
"M.",
""
],
[
"Schmidt",
"S. J.",
""
]
] |
[
-0.0533338263630867,
0.04379509389400482,
0.019527778029441833,
-0.0067918794229626656,
0.031446974724531174,
-0.032880090177059174,
-0.09472138434648514,
-0.04111257940530777,
0.034136299043893814,
-0.07164599746465683,
-0.08393335342407227,
-0.056532122194767,
0.049876365810632706,
-0.03808526694774628,
0.02949625998735428,
-0.04571225866675377,
-0.057696811854839325,
0.018597669899463654,
0.017518987879157066,
-0.01448146067559719,
0.09283410757780075,
0.11136937141418457,
-0.04745037853717804,
0.05514896661043167,
0.06408549845218658,
-0.010909028351306915,
-0.08720310777425766,
0.008553260006010532,
0.0009918436408042908,
0.028184369206428528,
0.016429709270596504,
0.002994427690282464,
-0.10786250978708267,
0.0517868846654892,
-0.020367048680782318,
-0.015542619861662388,
0.05573602020740509,
0.050657376646995544,
-0.07241430133581161,
0.06336960941553116,
-0.043381258845329285,
-0.03579971566796303,
0.044143229722976685,
-0.02779478393495083,
0.10541973263025284,
0.025792842730879784,
0.07580860704183578,
-0.013597738929092884,
-0.035793811082839966,
-0.016773970797657967,
-0.05041630193591118,
0.011742226779460907,
-0.07629551738500595,
-0.027987835928797722,
-0.021717403084039688,
-0.04796801134943962,
0.010888670571148396,
-0.012307866476476192,
0.008025988936424255,
0.021657222881913185,
0.023256815969944,
-0.002589360112324357,
0.027785830199718475,
0.04967830702662468,
-0.03871499001979828,
0.007611291017383337,
-0.019355028867721558,
0.017726875841617584,
0.020060740411281586,
-0.00044143517152406275,
-0.004193329252302647,
-0.06074243038892746,
0.012811285443603992,
-0.03800239786505699,
0.053157828748226166,
0.046804532408714294,
-0.011892521753907204,
0.06687121093273163,
-0.05217909440398216,
0.049048952758312225,
-0.0027798840310424566,
-0.09859926253557205,
-0.04411470144987106,
-0.0713903084397316,
-0.10903462767601013,
0.002144655678421259,
-0.027450140565633774,
-0.0641709640622139,
-0.004619338549673557,
0.022437596693634987,
-0.044341202825307846,
0.06406915187835693,
0.027417458593845367,
0.031096799299120903,
0.13575419783592224,
-0.026006674394011497,
-0.003467489732429385,
-0.0018894494278356433,
0.04699379578232765,
0.007616641465574503,
-0.026030495762825012,
0.008037246763706207,
0.04565683379769325,
0.019261233508586884,
0.031199149787425995,
-0.009348910301923752,
0.1249716505408287,
0.04221612215042114,
0.033461976796388626,
-0.012590546160936356,
0.05927626043558121,
0.0023294121492654085,
0.06052438169717789,
-0.058628324419260025,
0.07178164273500443,
0.04739423841238022,
-0.008809191174805164,
0.005072498228400946,
0.024825965985655785,
0.03832053765654564,
-0.01841524802148342,
-0.0403173565864563,
0.012894613668322563,
-0.005416341125965118,
0.013038884848356247,
0.02631145901978016,
0.031980063766241074,
-2.2735116853108857e-34,
0.015388214029371738,
0.023692702874541283,
-0.06211394816637039,
0.13791067898273468,
0.017465723678469658,
0.06399862468242645,
0.03152701258659363,
0.028042389079928398,
-0.011812442913651466,
0.0014493101043626666,
-0.03326321393251419,
0.08225985616445541,
-0.11576943099498749,
0.09455367177724838,
-0.08957991749048233,
-0.08409346640110016,
0.00943723414093256,
-0.031241506338119507,
0.039401162415742874,
-0.051354024559259415,
0.05540655925869942,
-0.019379742443561554,
-0.05993068218231201,
-0.05969355255365372,
-0.017259396612644196,
0.016402335837483406,
0.016726624220609665,
-0.046885691583156586,
0.016507644206285477,
0.0558377280831337,
-0.029040658846497536,
-0.029235104098916054,
-0.08136889338493347,
-0.016915444284677505,
-0.012727939523756504,
0.06975818425416946,
0.05526278167963028,
0.07304853945970535,
-0.04516099393367767,
0.08639615774154663,
-0.032228678464889526,
0.025833282619714737,
-0.05161437764763832,
0.017073776572942734,
-0.0655660331249237,
-0.02130003273487091,
-0.009167812764644623,
0.054900459945201874,
-0.025099441409111023,
-0.12404479086399078,
0.0009379290277138352,
0.08186025172472,
-0.009189111180603504,
0.03087771311402321,
0.06232491508126259,
0.03602467477321625,
0.07051807641983032,
-0.03361186385154724,
-0.04377622902393341,
-0.057872842997312546,
-0.05869114398956299,
0.04582752659916878,
-0.013359983451664448,
-0.03462354466319084,
-0.00017212456441484392,
0.08200553059577942,
0.03846302255988121,
0.0565900094807148,
0.029645968228578568,
-0.06069473549723625,
0.006945044733583927,
0.02913215383887291,
0.0773346796631813,
-0.017707912251353264,
-0.005712524056434631,
-0.015411494299769402,
0.036295559257268906,
-0.0027847622986882925,
-0.08730214089155197,
0.010714864358305931,
0.01021945383399725,
0.022385288029909134,
-0.03610300272703171,
0.06230638176202774,
0.016249680891633034,
0.019000599160790443,
0.019244685769081116,
-0.022583235055208206,
-0.05213833600282669,
-0.09506065398454666,
-0.021306950598955154,
0.028238270431756973,
0.14480659365653992,
-0.0872955173254013,
0.05598541349172592,
-1.4491112321273143e-33,
0.005486943293362856,
0.01568509079515934,
-0.0399291068315506,
0.05378992483019829,
0.02657233737409115,
0.01663222908973694,
0.1471564620733261,
0.008821641094982624,
0.020625775679945946,
-0.0668804869055748,
-0.009694310836493969,
-0.07485818862915039,
0.04561265930533409,
0.013411122374236584,
-0.03798942640423775,
-0.06959407031536102,
-0.019433194771409035,
-0.048980601131916046,
0.051321715116500854,
-0.07561742514371872,
0.019322270527482033,
-0.07122912257909775,
-0.01316105481237173,
0.053216759115457535,
-0.014618372544646263,
0.019317401573061943,
-0.05110030993819237,
-0.011532066389918327,
-0.028502345085144043,
0.013731160201132298,
-0.01374522689729929,
0.00898745283484459,
0.014551563188433647,
-0.000002589582436485216,
-0.030059831216931343,
0.08983349800109863,
-0.011545136570930481,
0.08573833853006363,
-0.019919581711292267,
-0.06505317986011505,
0.004609703551977873,
-0.06521695852279663,
-0.04946301132440567,
-0.015352651476860046,
0.024261469021439552,
0.05998282879590988,
0.07178853452205658,
-0.06923497468233109,
0.08560718595981598,
0.044006895273923874,
-0.006797740701586008,
0.02854759804904461,
-0.059377655386924744,
0.08121716976165771,
0.03379417583346367,
0.006754391826689243,
-0.010137440636754036,
0.028482535853981972,
-0.02319805696606636,
0.016883136704564095,
-0.09649825841188431,
-0.04934938624501228,
-0.10163217037916183,
-0.020550191402435303,
-0.015549303963780403,
-0.07701651751995087,
-0.048415426164865494,
0.01148404460400343,
0.027587363496422768,
0.036219701170921326,
0.024783406406641006,
-0.007949771359562874,
0.07091528177261353,
0.024830171838402748,
0.022833846509456635,
0.04541206732392311,
0.026839828118681908,
0.025207199156284332,
-0.05575297027826309,
0.04538813605904579,
0.0764404833316803,
0.03496958315372467,
0.023950120434165,
0.04709180071949959,
0.008124844171106815,
-0.08611978590488434,
0.009960247203707695,
0.02044306881725788,
-0.012967705726623535,
0.005203381180763245,
0.05808442831039429,
0.022700928151607513,
0.06596576422452927,
-0.06830304861068726,
0.049003276973962784,
-4.691329635875263e-8,
0.04599917307496071,
-0.02237362042069435,
0.04891004040837288,
-0.025955796241760254,
-0.08268839120864868,
0.03992689400911331,
-0.0787833034992218,
0.008005616255104542,
0.03455030918121338,
-0.12308641523122787,
-0.015077798627316952,
-0.019445938989520073,
-0.014057119376957417,
-0.014306886121630669,
-0.04093114286661148,
0.010180236771702766,
-0.009937122464179993,
0.030953099951148033,
0.05945128947496414,
-0.06656995415687561,
0.01872544176876545,
0.005051884334534407,
-0.07252848148345947,
-0.046197209507226944,
-0.015519044362008572,
-0.03508170694112778,
-0.04874257370829582,
-0.0033301536459475756,
0.05289096012711525,
0.015355419367551804,
-0.0868133082985878,
0.003808408509939909,
-0.060219768434762955,
0.052666835486888885,
-0.1137937381863594,
-0.06573232263326645,
-0.011678851209580898,
0.08151379972696304,
-0.05081479996442795,
-0.0384615920484066,
0.013124721124768257,
-0.016203679144382477,
-0.03540382534265518,
-0.09824251383543015,
0.0410555861890316,
0.14153824746608734,
-0.0783609002828598,
0.03417568281292915,
-0.10031034052371979,
0.0745946615934372,
-0.011382058262825012,
0.09863277524709702,
0.0950387641787529,
0.09744410961866379,
0.0011856869095936418,
-0.032457463443279266,
-0.1041601151227951,
0.02208782359957695,
-0.006848845165222883,
-0.07097464799880981,
-0.06053587794303894,
0.06565739959478378,
-0.026595765724778175,
-0.05222554877400398
] | null | null | null | null | null | null | null |
[
-0.0533338263630867,
0.04379509389400482,
0.019527778029441833,
-0.0067918794229626656,
0.031446974724531174,
-0.032880090177059174,
-0.09472138434648514,
-0.04111257940530777,
0.034136299043893814,
-0.07164599746465683,
-0.08393335342407227,
-0.056532122194767,
0.049876365810632706,
-0.03808526694774628,
0.02949625998735428,
-0.04571225866675377,
-0.057696811854839325,
0.018597669899463654,
0.017518987879157066,
-0.01448146067559719,
0.09283410757780075,
0.11136937141418457,
-0.04745037853717804,
0.05514896661043167,
0.06408549845218658,
-0.010909028351306915,
-0.08720310777425766,
0.008553260006010532,
0.0009918436408042908,
0.028184369206428528,
0.016429709270596504,
0.002994427690282464,
-0.10786250978708267,
0.0517868846654892,
-0.020367048680782318,
-0.015542619861662388,
0.05573602020740509,
0.050657376646995544,
-0.07241430133581161,
0.06336960941553116,
-0.043381258845329285,
-0.03579971566796303,
0.044143229722976685,
-0.02779478393495083,
0.10541973263025284,
0.025792842730879784,
0.07580860704183578,
-0.013597738929092884,
-0.035793811082839966,
-0.016773970797657967,
-0.05041630193591118,
0.011742226779460907,
-0.07629551738500595,
-0.027987835928797722,
-0.021717403084039688,
-0.04796801134943962,
0.010888670571148396,
-0.012307866476476192,
0.008025988936424255,
0.021657222881913185,
0.023256815969944,
-0.002589360112324357,
0.027785830199718475,
0.04967830702662468,
-0.03871499001979828,
0.007611291017383337,
-0.019355028867721558,
0.017726875841617584,
0.020060740411281586,
-0.00044143517152406275,
-0.004193329252302647,
-0.06074243038892746,
0.012811285443603992,
-0.03800239786505699,
0.053157828748226166,
0.046804532408714294,
-0.011892521753907204,
0.06687121093273163,
-0.05217909440398216,
0.049048952758312225,
-0.0027798840310424566,
-0.09859926253557205,
-0.04411470144987106,
-0.0713903084397316,
-0.10903462767601013,
0.002144655678421259,
-0.027450140565633774,
-0.0641709640622139,
-0.004619338549673557,
0.022437596693634987,
-0.044341202825307846,
0.06406915187835693,
0.027417458593845367,
0.031096799299120903,
0.13575419783592224,
-0.026006674394011497,
-0.003467489732429385,
-0.0018894494278356433,
0.04699379578232765,
0.007616641465574503,
-0.026030495762825012,
0.008037246763706207,
0.04565683379769325,
0.019261233508586884,
0.031199149787425995,
-0.009348910301923752,
0.1249716505408287,
0.04221612215042114,
0.033461976796388626,
-0.012590546160936356,
0.05927626043558121,
0.0023294121492654085,
0.06052438169717789,
-0.058628324419260025,
0.07178164273500443,
0.04739423841238022,
-0.008809191174805164,
0.005072498228400946,
0.024825965985655785,
0.03832053765654564,
-0.01841524802148342,
-0.0403173565864563,
0.012894613668322563,
-0.005416341125965118,
0.013038884848356247,
0.02631145901978016,
0.031980063766241074,
-2.2735116853108857e-34,
0.015388214029371738,
0.023692702874541283,
-0.06211394816637039,
0.13791067898273468,
0.017465723678469658,
0.06399862468242645,
0.03152701258659363,
0.028042389079928398,
-0.011812442913651466,
0.0014493101043626666,
-0.03326321393251419,
0.08225985616445541,
-0.11576943099498749,
0.09455367177724838,
-0.08957991749048233,
-0.08409346640110016,
0.00943723414093256,
-0.031241506338119507,
0.039401162415742874,
-0.051354024559259415,
0.05540655925869942,
-0.019379742443561554,
-0.05993068218231201,
-0.05969355255365372,
-0.017259396612644196,
0.016402335837483406,
0.016726624220609665,
-0.046885691583156586,
0.016507644206285477,
0.0558377280831337,
-0.029040658846497536,
-0.029235104098916054,
-0.08136889338493347,
-0.016915444284677505,
-0.012727939523756504,
0.06975818425416946,
0.05526278167963028,
0.07304853945970535,
-0.04516099393367767,
0.08639615774154663,
-0.032228678464889526,
0.025833282619714737,
-0.05161437764763832,
0.017073776572942734,
-0.0655660331249237,
-0.02130003273487091,
-0.009167812764644623,
0.054900459945201874,
-0.025099441409111023,
-0.12404479086399078,
0.0009379290277138352,
0.08186025172472,
-0.009189111180603504,
0.03087771311402321,
0.06232491508126259,
0.03602467477321625,
0.07051807641983032,
-0.03361186385154724,
-0.04377622902393341,
-0.057872842997312546,
-0.05869114398956299,
0.04582752659916878,
-0.013359983451664448,
-0.03462354466319084,
-0.00017212456441484392,
0.08200553059577942,
0.03846302255988121,
0.0565900094807148,
0.029645968228578568,
-0.06069473549723625,
0.006945044733583927,
0.02913215383887291,
0.0773346796631813,
-0.017707912251353264,
-0.005712524056434631,
-0.015411494299769402,
0.036295559257268906,
-0.0027847622986882925,
-0.08730214089155197,
0.010714864358305931,
0.01021945383399725,
0.022385288029909134,
-0.03610300272703171,
0.06230638176202774,
0.016249680891633034,
0.019000599160790443,
0.019244685769081116,
-0.022583235055208206,
-0.05213833600282669,
-0.09506065398454666,
-0.021306950598955154,
0.028238270431756973,
0.14480659365653992,
-0.0872955173254013,
0.05598541349172592,
-1.4491112321273143e-33,
0.005486943293362856,
0.01568509079515934,
-0.0399291068315506,
0.05378992483019829,
0.02657233737409115,
0.01663222908973694,
0.1471564620733261,
0.008821641094982624,
0.020625775679945946,
-0.0668804869055748,
-0.009694310836493969,
-0.07485818862915039,
0.04561265930533409,
0.013411122374236584,
-0.03798942640423775,
-0.06959407031536102,
-0.019433194771409035,
-0.048980601131916046,
0.051321715116500854,
-0.07561742514371872,
0.019322270527482033,
-0.07122912257909775,
-0.01316105481237173,
0.053216759115457535,
-0.014618372544646263,
0.019317401573061943,
-0.05110030993819237,
-0.011532066389918327,
-0.028502345085144043,
0.013731160201132298,
-0.01374522689729929,
0.00898745283484459,
0.014551563188433647,
-0.000002589582436485216,
-0.030059831216931343,
0.08983349800109863,
-0.011545136570930481,
0.08573833853006363,
-0.019919581711292267,
-0.06505317986011505,
0.004609703551977873,
-0.06521695852279663,
-0.04946301132440567,
-0.015352651476860046,
0.024261469021439552,
0.05998282879590988,
0.07178853452205658,
-0.06923497468233109,
0.08560718595981598,
0.044006895273923874,
-0.006797740701586008,
0.02854759804904461,
-0.059377655386924744,
0.08121716976165771,
0.03379417583346367,
0.006754391826689243,
-0.010137440636754036,
0.028482535853981972,
-0.02319805696606636,
0.016883136704564095,
-0.09649825841188431,
-0.04934938624501228,
-0.10163217037916183,
-0.020550191402435303,
-0.015549303963780403,
-0.07701651751995087,
-0.048415426164865494,
0.01148404460400343,
0.027587363496422768,
0.036219701170921326,
0.024783406406641006,
-0.007949771359562874,
0.07091528177261353,
0.024830171838402748,
0.022833846509456635,
0.04541206732392311,
0.026839828118681908,
0.025207199156284332,
-0.05575297027826309,
0.04538813605904579,
0.0764404833316803,
0.03496958315372467,
0.023950120434165,
0.04709180071949959,
0.008124844171106815,
-0.08611978590488434,
0.009960247203707695,
0.02044306881725788,
-0.012967705726623535,
0.005203381180763245,
0.05808442831039429,
0.022700928151607513,
0.06596576422452927,
-0.06830304861068726,
0.049003276973962784,
-4.691329635875263e-8,
0.04599917307496071,
-0.02237362042069435,
0.04891004040837288,
-0.025955796241760254,
-0.08268839120864868,
0.03992689400911331,
-0.0787833034992218,
0.008005616255104542,
0.03455030918121338,
-0.12308641523122787,
-0.015077798627316952,
-0.019445938989520073,
-0.014057119376957417,
-0.014306886121630669,
-0.04093114286661148,
0.010180236771702766,
-0.009937122464179993,
0.030953099951148033,
0.05945128947496414,
-0.06656995415687561,
0.01872544176876545,
0.005051884334534407,
-0.07252848148345947,
-0.046197209507226944,
-0.015519044362008572,
-0.03508170694112778,
-0.04874257370829582,
-0.0033301536459475756,
0.05289096012711525,
0.015355419367551804,
-0.0868133082985878,
0.003808408509939909,
-0.060219768434762955,
0.052666835486888885,
-0.1137937381863594,
-0.06573232263326645,
-0.011678851209580898,
0.08151379972696304,
-0.05081479996442795,
-0.0384615920484066,
0.013124721124768257,
-0.016203679144382477,
-0.03540382534265518,
-0.09824251383543015,
0.0410555861890316,
0.14153824746608734,
-0.0783609002828598,
0.03417568281292915,
-0.10031034052371979,
0.0745946615934372,
-0.011382058262825012,
0.09863277524709702,
0.0950387641787529,
0.09744410961866379,
0.0011856869095936418,
-0.032457463443279266,
-0.1041601151227951,
0.02208782359957695,
-0.006848845165222883,
-0.07097464799880981,
-0.06053587794303894,
0.06565739959478378,
-0.026595765724778175,
-0.05222554877400398
] |
1401.6550
|
Jan Frederik Totz
|
Jan F. Totz, Harald Engel, Oliver Steinbock
|
Spatial Confinement Causes Lifetime Enhancement and Expansion of Vortex
Rings with Positive Filament Tension
| null | null |
10.1088/1367-2630/17/9/093043
| null |
nlin.PS physics.chem-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the impact of spatial confinement on the dynamics of
three-dimensional excitation vortices with circular filaments. In a chemically
active medium we observe a decreased contraction of such scroll rings and even
expanding ones, despite of their positive filament tension. We propose a
kinematical model which takes into account the interaction of the scroll ring
with a confining Neumann boundary. The model reproduces all experimentally
observed regimes of ring evolution, and correctly predicts the results obtained
by numerical simulations of the underlying reaction-diffusion equations.
|
[
{
"created": "Sat, 25 Jan 2014 15:46:22 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 2015 09:22:51 GMT",
"version": "v2"
}
] |
2015-10-28
|
[
[
"Totz",
"Jan F.",
""
],
[
"Engel",
"Harald",
""
],
[
"Steinbock",
"Oliver",
""
]
] |
[
0.008244398050010204,
-0.10064531862735748,
-0.05323803424835205,
-0.021250225603580475,
-0.026933321729302406,
-0.05387134104967117,
-0.028423285111784935,
-0.015538878738880157,
0.06810696423053741,
-0.0464002825319767,
-0.0007400567410513759,
0.000164705328643322,
-0.03644631430506706,
-0.04059409722685814,
0.04215781018137932,
0.00030917677213437855,
-0.04796196147799492,
-0.01694898121058941,
-0.09236931800842285,
0.02069840580224991,
0.00949667114764452,
-0.011290213093161583,
0.024106748402118683,
0.033252373337745667,
-0.015372942201793194,
0.07451599836349487,
0.03236063942313194,
-0.04674960672855377,
0.005621460732072592,
-0.04470834508538246,
0.0325295515358448,
0.030406810343265533,
-0.10200841724872589,
0.04054922237992287,
0.04958777502179146,
-0.0177883543074131,
-0.124184250831604,
0.0033502832520753145,
-0.06854633241891861,
-0.029586145654320717,
0.05176680162549019,
0.045056045055389404,
0.012996154837310314,
-0.051035139709711075,
0.017805956304073334,
0.018486153334379196,
0.06542959809303284,
-0.006423602811992168,
-0.06856674700975418,
-0.004649997688829899,
0.051563799381256104,
-0.010320626199245453,
0.02729947678744793,
0.06191720813512802,
0.006544047966599464,
0.09515941888093948,
0.07102358341217041,
0.024540062993764877,
-0.04307147487998009,
-0.03957481309771538,
0.039073843508958817,
0.030794937163591385,
-0.018644064664840698,
-0.012244896031916142,
-0.029830940067768097,
-0.06387511640787125,
0.006161480210721493,
0.024927569553256035,
0.02431185357272625,
0.01869427040219307,
0.03364461287856102,
0.08947774022817612,
-0.10470864176750183,
-0.008733078837394714,
0.15395118296146393,
0.06594608724117279,
-0.049895744770765305,
0.0022730636410415173,
-0.01576818712055683,
-0.0015189803671091795,
0.07313115149736404,
-0.0162196047604084,
-0.0374150425195694,
-0.004245378542691469,
-0.0743045061826706,
0.02774122729897499,
-0.01736740581691265,
-0.03967556357383728,
-0.039805036038160324,
-0.0082232765853405,
0.02888098731637001,
0.02751826122403145,
-0.06872488558292389,
-0.043696559965610504,
0.018543124198913574,
-0.05139215290546417,
-0.015217669308185577,
-0.062032993882894516,
-0.00921012181788683,
-0.01373327523469925,
0.020360829308629036,
-0.06666859984397888,
0.029053229838609695,
0.06044153496623039,
0.05233488604426384,
0.04559704661369324,
0.09571726620197296,
0.05639092996716499,
-0.07333024591207504,
0.07142415642738342,
0.06043583154678345,
-0.08099205046892166,
0.03655993565917015,
0.028756480664014816,
-0.02054481953382492,
0.028653323650360107,
0.018784599378705025,
0.04114779829978943,
0.015168827958405018,
0.04581861570477486,
-0.014327709563076496,
0.022163525223731995,
-0.15891726315021515,
-0.10600282996892929,
-0.06813818961381912,
-0.020031429827213287,
-0.1377187818288803,
-7.720325471964231e-34,
0.008354916237294674,
-0.05531527101993561,
-0.028433000668883324,
0.004389077890664339,
-0.03038174659013748,
-0.05343395471572876,
0.04173906520009041,
-0.10871993005275726,
0.03791849687695503,
-0.021805787459015846,
-0.0421878807246685,
0.03548251464962959,
0.00430887658149004,
0.017581753432750702,
0.00848034955561161,
-0.09055176377296448,
0.03556383401155472,
0.022326743230223656,
-0.031286828219890594,
0.030965914949774742,
0.04917682334780693,
0.014626878313720226,
-0.05704927816987038,
0.0008487080340273678,
-0.07605262100696564,
-0.022962337359786034,
-0.09472528845071793,
-0.05990699678659439,
-0.010244264267385006,
0.020308174192905426,
-0.010234824381768703,
0.07589319348335266,
-0.03010004200041294,
0.015213223174214363,
0.13463115692138672,
0.0996578261256218,
0.020470548421144485,
0.007977570407092571,
-0.05556054040789604,
0.019294435158371925,
-0.037155572324991226,
-0.016746696084737778,
-0.033321939408779144,
0.07028373330831528,
0.0035998811945319176,
0.046006880700588226,
0.03666411340236664,
0.04378081113100052,
0.02456481195986271,
-0.02941245585680008,
0.019012711942195892,
0.0037213023751974106,
0.04650874808430672,
-0.018919726833701134,
0.13251881301403046,
-0.03185073286294937,
0.0195852592587471,
-0.09495849162340164,
0.041786663234233856,
-0.06785079091787338,
-0.026492923498153687,
-0.00012331084872130305,
-0.022607257589697838,
-0.006699714809656143,
0.048043183982372284,
0.017619896680116653,
-0.04765753075480461,
-0.009667854756116867,
-0.007423357106745243,
-0.032018814235925674,
-0.04348333552479744,
0.08260578662157059,
-0.033651381731033325,
-0.051565125584602356,
0.026070086285471916,
0.02233825996518135,
-0.003331284038722515,
-0.037571731954813004,
0.004352155607193708,
0.015998253598809242,
0.012163752689957619,
-0.050406698137521744,
-0.02883787266910076,
0.014301273971796036,
-0.01564927026629448,
0.030192477628588676,
0.03801324963569641,
0.031980954110622406,
-0.04598190635442734,
0.020671451464295387,
0.08220911771059036,
0.012733446434140205,
0.12630213797092438,
-0.015653347596526146,
0.010985090397298336,
-2.0643969341003626e-33,
-0.03845057636499405,
0.009150559082627296,
0.015782512724399567,
0.023922573775053024,
0.04234089329838753,
0.07357241213321686,
-0.03235922381281853,
0.04088816046714783,
-0.022290926426649094,
-0.10162848979234695,
-0.00814829021692276,
0.08674419671297073,
-0.04420307278633118,
0.05501770228147507,
0.06766849756240845,
-0.11061710864305496,
0.003640416543930769,
-0.03879024460911751,
0.1307230442762375,
0.011775480583310127,
0.007077046670019627,
-0.03718254342675209,
-0.03654320910573006,
-0.012047328986227512,
0.0005688657402060926,
-0.022681323811411858,
-0.05396268144249916,
-0.03129440173506737,
-0.016313403844833374,
0.05469596013426781,
-0.0949004516005516,
-0.01347633171826601,
0.0163408350199461,
0.042676109820604324,
-0.02345600724220276,
0.06274549663066864,
0.05936075374484062,
-0.03703014925122261,
0.05143338069319725,
-0.09054840356111526,
-0.08296513557434082,
-0.010225406847894192,
0.07079261541366577,
0.019491413608193398,
0.00999936182051897,
-0.01925230771303177,
-0.013206379488110542,
-0.015790412202477455,
-0.025645852088928223,
0.006666909903287888,
-0.02773258276283741,
0.07272502779960632,
0.04297007992863655,
-0.08832230418920517,
0.08350716531276703,
0.032941777259111404,
-0.010463944636285305,
-0.016144108027219772,
0.07098707556724548,
-0.061678461730480194,
-0.11254794150590897,
-0.04252861067652702,
0.0667295753955841,
-0.049052707850933075,
-0.013343791477382183,
0.03568436577916145,
0.025658849626779556,
0.043197955936193466,
0.032865624874830246,
-0.024423327296972275,
0.02636239118874073,
0.05377122014760971,
0.06323572248220444,
0.04626438394188881,
0.09607332199811935,
-0.0693739801645279,
0.03712727874517441,
-0.06007196754217148,
-0.01680261641740799,
0.021915888413786888,
0.015321425162255764,
0.09271285682916641,
0.00810127705335617,
-0.11835822463035583,
0.03316132351756096,
-0.1131107434630394,
-0.019646722823381424,
-0.09519685804843903,
-0.06285835057497025,
0.035732753574848175,
0.0458737388253212,
-0.00036666187224909663,
0.07628919184207916,
-0.037572283297777176,
0.1151880994439125,
-4.287545962711192e-8,
0.0376032330095768,
0.018919391557574272,
0.0037875177804380655,
0.03790366277098656,
0.06683371961116791,
0.046190045773983,
0.08423515409231186,
0.018345922231674194,
0.06092531606554985,
-0.02034776099026203,
0.04046796262264252,
0.006872345227748156,
0.058543749153614044,
-0.05667863413691521,
0.032692573964595795,
0.04599020257592201,
-0.05196717754006386,
-0.055969659239053726,
-0.024993738159537315,
-0.052367135882377625,
-0.053092584013938904,
0.07983613759279251,
0.00039728471892885864,
-0.01531144417822361,
-0.0048849210143089294,
0.032557856291532516,
-0.024924088269472122,
-0.09811825305223465,
-0.04019187390804291,
0.004477614536881447,
0.014339583925902843,
-0.010867144912481308,
-0.01835843361914158,
0.002370998729020357,
-0.12178730219602585,
-0.04439650848507881,
-0.04841328412294388,
0.00888077076524496,
-0.08043800294399261,
-0.06165328994393349,
-0.040244754403829575,
0.08159559965133667,
0.04929446429014206,
-0.04915831238031387,
0.031481608748435974,
0.04792903736233711,
0.08197247236967087,
0.008789114654064178,
-0.03345096856355667,
0.013566789217293262,
-0.055182307958602905,
0.016279244795441628,
0.03205982223153114,
0.06427843868732452,
0.020376509055495262,
-0.027802901342511177,
-0.018023116514086723,
0.04983118548989296,
-0.019284745678305626,
-0.06290065497159958,
-0.10720944404602051,
0.05140063539147377,
0.06494572758674622,
0.022716952487826347
] | null | null | null | null | null | null | null |
[
0.008244398050010204,
-0.10064531862735748,
-0.05323803424835205,
-0.021250225603580475,
-0.026933321729302406,
-0.05387134104967117,
-0.028423285111784935,
-0.015538878738880157,
0.06810696423053741,
-0.0464002825319767,
-0.0007400567410513759,
0.000164705328643322,
-0.03644631430506706,
-0.04059409722685814,
0.04215781018137932,
0.00030917677213437855,
-0.04796196147799492,
-0.01694898121058941,
-0.09236931800842285,
0.02069840580224991,
0.00949667114764452,
-0.011290213093161583,
0.024106748402118683,
0.033252373337745667,
-0.015372942201793194,
0.07451599836349487,
0.03236063942313194,
-0.04674960672855377,
0.005621460732072592,
-0.04470834508538246,
0.0325295515358448,
0.030406810343265533,
-0.10200841724872589,
0.04054922237992287,
0.04958777502179146,
-0.0177883543074131,
-0.124184250831604,
0.0033502832520753145,
-0.06854633241891861,
-0.029586145654320717,
0.05176680162549019,
0.045056045055389404,
0.012996154837310314,
-0.051035139709711075,
0.017805956304073334,
0.018486153334379196,
0.06542959809303284,
-0.006423602811992168,
-0.06856674700975418,
-0.004649997688829899,
0.051563799381256104,
-0.010320626199245453,
0.02729947678744793,
0.06191720813512802,
0.006544047966599464,
0.09515941888093948,
0.07102358341217041,
0.024540062993764877,
-0.04307147487998009,
-0.03957481309771538,
0.039073843508958817,
0.030794937163591385,
-0.018644064664840698,
-0.012244896031916142,
-0.029830940067768097,
-0.06387511640787125,
0.006161480210721493,
0.024927569553256035,
0.02431185357272625,
0.01869427040219307,
0.03364461287856102,
0.08947774022817612,
-0.10470864176750183,
-0.008733078837394714,
0.15395118296146393,
0.06594608724117279,
-0.049895744770765305,
0.0022730636410415173,
-0.01576818712055683,
-0.0015189803671091795,
0.07313115149736404,
-0.0162196047604084,
-0.0374150425195694,
-0.004245378542691469,
-0.0743045061826706,
0.02774122729897499,
-0.01736740581691265,
-0.03967556357383728,
-0.039805036038160324,
-0.0082232765853405,
0.02888098731637001,
0.02751826122403145,
-0.06872488558292389,
-0.043696559965610504,
0.018543124198913574,
-0.05139215290546417,
-0.015217669308185577,
-0.062032993882894516,
-0.00921012181788683,
-0.01373327523469925,
0.020360829308629036,
-0.06666859984397888,
0.029053229838609695,
0.06044153496623039,
0.05233488604426384,
0.04559704661369324,
0.09571726620197296,
0.05639092996716499,
-0.07333024591207504,
0.07142415642738342,
0.06043583154678345,
-0.08099205046892166,
0.03655993565917015,
0.028756480664014816,
-0.02054481953382492,
0.028653323650360107,
0.018784599378705025,
0.04114779829978943,
0.015168827958405018,
0.04581861570477486,
-0.014327709563076496,
0.022163525223731995,
-0.15891726315021515,
-0.10600282996892929,
-0.06813818961381912,
-0.020031429827213287,
-0.1377187818288803,
-7.720325471964231e-34,
0.008354916237294674,
-0.05531527101993561,
-0.028433000668883324,
0.004389077890664339,
-0.03038174659013748,
-0.05343395471572876,
0.04173906520009041,
-0.10871993005275726,
0.03791849687695503,
-0.021805787459015846,
-0.0421878807246685,
0.03548251464962959,
0.00430887658149004,
0.017581753432750702,
0.00848034955561161,
-0.09055176377296448,
0.03556383401155472,
0.022326743230223656,
-0.031286828219890594,
0.030965914949774742,
0.04917682334780693,
0.014626878313720226,
-0.05704927816987038,
0.0008487080340273678,
-0.07605262100696564,
-0.022962337359786034,
-0.09472528845071793,
-0.05990699678659439,
-0.010244264267385006,
0.020308174192905426,
-0.010234824381768703,
0.07589319348335266,
-0.03010004200041294,
0.015213223174214363,
0.13463115692138672,
0.0996578261256218,
0.020470548421144485,
0.007977570407092571,
-0.05556054040789604,
0.019294435158371925,
-0.037155572324991226,
-0.016746696084737778,
-0.033321939408779144,
0.07028373330831528,
0.0035998811945319176,
0.046006880700588226,
0.03666411340236664,
0.04378081113100052,
0.02456481195986271,
-0.02941245585680008,
0.019012711942195892,
0.0037213023751974106,
0.04650874808430672,
-0.018919726833701134,
0.13251881301403046,
-0.03185073286294937,
0.0195852592587471,
-0.09495849162340164,
0.041786663234233856,
-0.06785079091787338,
-0.026492923498153687,
-0.00012331084872130305,
-0.022607257589697838,
-0.006699714809656143,
0.048043183982372284,
0.017619896680116653,
-0.04765753075480461,
-0.009667854756116867,
-0.007423357106745243,
-0.032018814235925674,
-0.04348333552479744,
0.08260578662157059,
-0.033651381731033325,
-0.051565125584602356,
0.026070086285471916,
0.02233825996518135,
-0.003331284038722515,
-0.037571731954813004,
0.004352155607193708,
0.015998253598809242,
0.012163752689957619,
-0.050406698137521744,
-0.02883787266910076,
0.014301273971796036,
-0.01564927026629448,
0.030192477628588676,
0.03801324963569641,
0.031980954110622406,
-0.04598190635442734,
0.020671451464295387,
0.08220911771059036,
0.012733446434140205,
0.12630213797092438,
-0.015653347596526146,
0.010985090397298336,
-2.0643969341003626e-33,
-0.03845057636499405,
0.009150559082627296,
0.015782512724399567,
0.023922573775053024,
0.04234089329838753,
0.07357241213321686,
-0.03235922381281853,
0.04088816046714783,
-0.022290926426649094,
-0.10162848979234695,
-0.00814829021692276,
0.08674419671297073,
-0.04420307278633118,
0.05501770228147507,
0.06766849756240845,
-0.11061710864305496,
0.003640416543930769,
-0.03879024460911751,
0.1307230442762375,
0.011775480583310127,
0.007077046670019627,
-0.03718254342675209,
-0.03654320910573006,
-0.012047328986227512,
0.0005688657402060926,
-0.022681323811411858,
-0.05396268144249916,
-0.03129440173506737,
-0.016313403844833374,
0.05469596013426781,
-0.0949004516005516,
-0.01347633171826601,
0.0163408350199461,
0.042676109820604324,
-0.02345600724220276,
0.06274549663066864,
0.05936075374484062,
-0.03703014925122261,
0.05143338069319725,
-0.09054840356111526,
-0.08296513557434082,
-0.010225406847894192,
0.07079261541366577,
0.019491413608193398,
0.00999936182051897,
-0.01925230771303177,
-0.013206379488110542,
-0.015790412202477455,
-0.025645852088928223,
0.006666909903287888,
-0.02773258276283741,
0.07272502779960632,
0.04297007992863655,
-0.08832230418920517,
0.08350716531276703,
0.032941777259111404,
-0.010463944636285305,
-0.016144108027219772,
0.07098707556724548,
-0.061678461730480194,
-0.11254794150590897,
-0.04252861067652702,
0.0667295753955841,
-0.049052707850933075,
-0.013343791477382183,
0.03568436577916145,
0.025658849626779556,
0.043197955936193466,
0.032865624874830246,
-0.024423327296972275,
0.02636239118874073,
0.05377122014760971,
0.06323572248220444,
0.04626438394188881,
0.09607332199811935,
-0.0693739801645279,
0.03712727874517441,
-0.06007196754217148,
-0.01680261641740799,
0.021915888413786888,
0.015321425162255764,
0.09271285682916641,
0.00810127705335617,
-0.11835822463035583,
0.03316132351756096,
-0.1131107434630394,
-0.019646722823381424,
-0.09519685804843903,
-0.06285835057497025,
0.035732753574848175,
0.0458737388253212,
-0.00036666187224909663,
0.07628919184207916,
-0.037572283297777176,
0.1151880994439125,
-4.287545962711192e-8,
0.0376032330095768,
0.018919391557574272,
0.0037875177804380655,
0.03790366277098656,
0.06683371961116791,
0.046190045773983,
0.08423515409231186,
0.018345922231674194,
0.06092531606554985,
-0.02034776099026203,
0.04046796262264252,
0.006872345227748156,
0.058543749153614044,
-0.05667863413691521,
0.032692573964595795,
0.04599020257592201,
-0.05196717754006386,
-0.055969659239053726,
-0.024993738159537315,
-0.052367135882377625,
-0.053092584013938904,
0.07983613759279251,
0.00039728471892885864,
-0.01531144417822361,
-0.0048849210143089294,
0.032557856291532516,
-0.024924088269472122,
-0.09811825305223465,
-0.04019187390804291,
0.004477614536881447,
0.014339583925902843,
-0.010867144912481308,
-0.01835843361914158,
0.002370998729020357,
-0.12178730219602585,
-0.04439650848507881,
-0.04841328412294388,
0.00888077076524496,
-0.08043800294399261,
-0.06165328994393349,
-0.040244754403829575,
0.08159559965133667,
0.04929446429014206,
-0.04915831238031387,
0.031481608748435974,
0.04792903736233711,
0.08197247236967087,
0.008789114654064178,
-0.03345096856355667,
0.013566789217293262,
-0.055182307958602905,
0.016279244795441628,
0.03205982223153114,
0.06427843868732452,
0.020376509055495262,
-0.027802901342511177,
-0.018023116514086723,
0.04983118548989296,
-0.019284745678305626,
-0.06290065497159958,
-0.10720944404602051,
0.05140063539147377,
0.06494572758674622,
0.022716952487826347
] |
1401.6554
|
Xueqin Huang
|
Xueqin Huang, Meng Xiao, Zhao-Qing Zhang, and C. T. Chan
|
Deterministic formation of interface states in some two-dimensional
photonic crystals with conical dispersions
| null | null | null | null |
physics.optics cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There is no assurance that interface states can be found at the boundary
separating two materials. As a strong perturbation typically favors wave
localization, it is natural to expect that an interface state should form more
easily in the boundary that represents a strong perturbation. Here, we show on
the contrary that in some two dimensional photonic crystals (PCs) with a square
lattice possessing Dirac-like cone at k=0, a small perturbation guarantees the
existence of interface states. More specifically, we find that single-mode
localized states exist in a deterministic manner at an interface formed by two
PCs each with system parameters slightly perturbed from the conical dispersion
condition. The conical dispersion guarantees the existence of gaps in the
projected band structure which allows interface states to form and the assured
existence of interface states stems from the geometric phases of the bulk
bands.
|
[
{
"created": "Sat, 25 Jan 2014 16:16:49 GMT",
"version": "v1"
}
] |
2014-01-28
|
[
[
"Huang",
"Xueqin",
""
],
[
"Xiao",
"Meng",
""
],
[
"Zhang",
"Zhao-Qing",
""
],
[
"Chan",
"C. T.",
""
]
] |
[
0.026886221021413803,
-0.01830567605793476,
0.06072689965367317,
0.02870072051882744,
0.0006658114143647254,
-0.022663868963718414,
0.09595644474029541,
-0.06979705393314362,
-0.06559793651103973,
0.011990786530077457,
0.074794240295887,
0.007912516593933105,
-0.004902602173388004,
0.025599753484129906,
0.05235843360424042,
-0.01576024852693081,
-0.029448935762047768,
-0.13244301080703735,
-0.012507395818829536,
0.11336156725883484,
0.059471555054187775,
-0.031679920852184296,
-0.04231584817171097,
-0.015567445196211338,
0.04413725435733795,
0.053043466061353683,
0.046401627361774445,
-0.016412660479545593,
0.07865932583808899,
-0.011864416301250458,
0.045004528015851974,
-0.023178579285740852,
-0.1090412363409996,
0.05929044634103775,
-0.001227821339853108,
-0.05774284899234772,
0.07587939500808716,
-0.00727238180115819,
-0.06497463583946228,
0.004241098649799824,
0.0015632517170161009,
0.04317246377468109,
0.0023528854362666607,
0.06320637464523315,
-0.0022326582111418247,
-0.0429876334965229,
0.10013880580663681,
0.018424486741423607,
-0.00532765407115221,
-0.16170494258403778,
-0.0013367930660024285,
0.07003065198659897,
0.07434259355068207,
-0.03947022184729576,
-0.03568559139966965,
0.044846441596746445,
0.017624136060476303,
0.07182283699512482,
-0.011264600791037083,
-0.03816676139831543,
-0.03053167834877968,
-0.006065553054213524,
-0.005594862159341574,
-0.08634518831968307,
0.07821708172559738,
-0.026480410248041153,
-0.06399454176425934,
0.05185002088546753,
0.005863470491021872,
0.0351046547293663,
0.03025013394653797,
-0.03645551949739456,
-0.0071366154588758945,
0.07106692343950272,
0.06502201408147812,
0.002250773599371314,
-0.02816113270819187,
0.030177606269717216,
-0.012977777980268002,
0.052763018757104874,
-0.08054930716753006,
-0.020113278180360794,
-0.025913968682289124,
0.0002179475995944813,
0.003554311115294695,
-0.018186291679739952,
-0.07031730562448502,
-0.025116074830293655,
-0.037959951907396317,
-0.060651134699583054,
0.0627162978053093,
-0.03847312927246094,
-0.011531660333275795,
-0.05895308032631874,
-0.009804691188037395,
-0.040885619819164276,
0.029089735820889473,
-0.06240370497107506,
0.009060232900083065,
0.06031562760472298,
0.003736312035471201,
-0.08007626235485077,
-0.0041144127026200294,
0.09873678535223007,
-0.02718610316514969,
-0.019583139568567276,
0.02233792468905449,
0.022394562140107155,
-0.06864063441753387,
0.010916536673903465,
0.08425398170948029,
0.037446532398462296,
-0.03837299719452858,
0.03554606810212135,
-0.05721837654709816,
0.055393412709236145,
-0.01473847683519125,
0.08908671885728836,
0.07754084467887878,
-0.015863988548517227,
-0.058344122022390366,
0.04103865846991539,
-0.060399413108825684,
0.05998065695166588,
-0.0627298355102539,
0.043919604271650314,
-0.012941387481987476,
-2.6907981175424486e-35,
0.03212238475680351,
0.016813192516565323,
-0.038266994059085846,
0.09629945456981659,
0.0034204963594675064,
-0.043730732053518295,
0.07962305098772049,
-0.06680531799793243,
-0.001448549679480493,
-0.037422168999910355,
-0.01237249281257391,
0.020445462316274643,
0.003797712503001094,
0.06418747454881668,
0.011208394542336464,
0.018203608691692352,
0.06773237138986588,
0.022809427231550217,
0.019024807959794998,
0.08262447267770767,
0.05140906572341919,
0.08076870441436768,
-0.03100837953388691,
0.0035645237658172846,
0.010950863361358643,
0.003509214846417308,
-0.03212149068713188,
-0.022904543206095695,
0.1060454472899437,
0.019437050446867943,
-0.025940701365470886,
0.12700091302394867,
0.07034135609865189,
0.02461804449558258,
0.17380912601947784,
0.00231318105943501,
-0.027866415679454803,
0.035408198833465576,
0.04085686430335045,
-0.06358988583087921,
-0.02634246274828911,
-0.01718122512102127,
0.056923601776361465,
0.08017424494028091,
0.01972578465938568,
-0.09129304438829422,
0.009325536899268627,
-0.019736703485250473,
-0.08441236615180969,
-0.08921034634113312,
-0.00877448357641697,
0.00005046046135248616,
-0.004734283313155174,
0.0506356842815876,
0.007158244028687477,
-0.09195060282945633,
0.007250224705785513,
-0.09251276403665543,
0.017099743708968163,
-0.09652583301067352,
0.05285239592194557,
-0.03158411383628845,
-0.00734315998852253,
0.020096059888601303,
-0.03152560070157051,
-0.006307341158390045,
-0.016805239021778107,
-0.026060335338115692,
0.05133828520774841,
0.026142694056034088,
-0.021843140944838524,
0.08689621090888977,
-0.0070776487700641155,
-0.01829354651272297,
0.06189576908946037,
-0.0431949682533741,
0.014251120388507843,
-0.0009914734400808811,
0.0847373902797699,
0.02451293356716633,
-0.021057751029729843,
-0.06345154345035553,
-0.10061535984277725,
-0.01767546497285366,
-0.002744964323937893,
0.014021383598446846,
-0.001604488235898316,
-0.07856781035661697,
-0.08255299180746078,
-0.02780149132013321,
-0.02243407815694809,
-0.026360299438238144,
0.0659010261297226,
0.032194189727306366,
-0.0013832452241331339,
-3.4055632546756355e-33,
0.047759294509887695,
-0.03766282647848129,
0.06528928875923157,
-0.08556335419416428,
0.0074701374396681786,
0.021071435883641243,
0.046385787427425385,
0.05466874688863754,
0.01006584893912077,
-0.04747147485613823,
0.03208833932876587,
0.038197558373212814,
0.023518137633800507,
-0.011620341800153255,
-0.11334719508886337,
0.06151839345693588,
0.048987071961164474,
-0.03388674184679985,
0.03355276957154274,
-0.0014344194205477834,
-0.08780219405889511,
-0.054282624274492264,
0.08005715161561966,
0.01808437705039978,
-0.0067614903673529625,
-0.07543434202671051,
0.009806444868445396,
-0.0005114768864586949,
-0.05272672697901726,
-0.02556702494621277,
0.004296250641345978,
-0.02700035832822323,
0.013700458221137524,
-0.04699207842350006,
-0.06037231162190437,
0.02483545057475567,
-0.09602391719818115,
-0.09055739641189575,
-0.009516414254903793,
0.00001751035961206071,
0.05951656401157379,
-0.023790372535586357,
-0.03231954947113991,
0.04918176308274269,
-0.0201187115162611,
-0.021267462521791458,
0.006217708345502615,
0.0019509318517521024,
-0.18708084523677826,
-0.07439721375703812,
-0.04205426573753357,
0.031038185581564903,
0.05495345965027809,
-0.009340650402009487,
-0.010444840416312218,
-0.008211622945964336,
-0.045289624482393265,
0.05879231542348862,
0.018749501556158066,
0.03563971817493439,
-0.06685362756252289,
-0.04323238879442215,
0.03920372948050499,
0.04934123530983925,
0.04208679124712944,
-0.029814474284648895,
-0.022379295900464058,
-0.05717666074633598,
0.05213947966694832,
0.016528675332665443,
-0.019039778038859367,
-0.0282893143594265,
-0.027756642550230026,
-0.04347608610987663,
0.034862857311964035,
0.016506779938936234,
0.0017569297924637794,
-0.029391421005129814,
0.04144786670804024,
-0.05704205110669136,
0.018959641456604004,
0.05768641456961632,
-0.04415594041347504,
-0.05056457594037056,
0.0602748729288578,
0.00364141003228724,
-0.010667907074093819,
0.08441581577062607,
-0.029613422229886055,
0.05704038590192795,
0.051283229142427444,
-0.062449630349874496,
0.024757051840424538,
-0.03023219108581543,
0.11572004854679108,
-5.044167039613967e-8,
0.03274128586053848,
-0.007457436062395573,
-0.030113987624645233,
0.001354907057248056,
-0.041620176285505295,
-0.06637915968894958,
-0.015654396265745163,
-0.012904930859804153,
0.030445339158177376,
-0.004255798179656267,
0.03655193746089935,
-0.04264647513628006,
-0.1288893222808838,
-0.1352246105670929,
0.0015779094537720084,
0.04368726536631584,
0.0009137457818724215,
0.013069558888673782,
-0.016542945057153702,
0.04855955392122269,
0.017644017934799194,
-0.024693382903933525,
0.028843170031905174,
0.011990818195044994,
-0.0907350406050682,
-0.02023450843989849,
-0.06512949615716934,
-0.04072790592908859,
-0.04213632270693779,
0.029632167890667915,
0.06459324806928635,
-0.06409672647714615,
0.03538898006081581,
0.10995402932167053,
-0.03911620378494263,
0.008495200425386429,
-0.07605811953544617,
-0.04593869298696518,
0.001029031933285296,
-0.11895405501127243,
0.06843692809343338,
0.04813137277960777,
0.03235296905040741,
0.010695215314626694,
0.07187682390213013,
0.09372260421514511,
-0.0022207004949450493,
0.0657944306731224,
0.03233783692121506,
0.04643953591585159,
-0.06484119594097137,
0.06381430476903915,
-0.01592165417969227,
-0.012466472573578358,
-0.07646645605564117,
-0.03039410151541233,
-0.026938412338495255,
0.05745337903499603,
-0.006127286236733198,
0.006374327931553125,
-0.02043537236750126,
-0.021567005664110184,
-0.046824488788843155,
0.029479747638106346
] | null | null | null | null | null | null | null |
[
0.026886221021413803,
-0.01830567605793476,
0.06072689965367317,
0.02870072051882744,
0.0006658114143647254,
-0.022663868963718414,
0.09595644474029541,
-0.06979705393314362,
-0.06559793651103973,
0.011990786530077457,
0.074794240295887,
0.007912516593933105,
-0.004902602173388004,
0.025599753484129906,
0.05235843360424042,
-0.01576024852693081,
-0.029448935762047768,
-0.13244301080703735,
-0.012507395818829536,
0.11336156725883484,
0.059471555054187775,
-0.031679920852184296,
-0.04231584817171097,
-0.015567445196211338,
0.04413725435733795,
0.053043466061353683,
0.046401627361774445,
-0.016412660479545593,
0.07865932583808899,
-0.011864416301250458,
0.045004528015851974,
-0.023178579285740852,
-0.1090412363409996,
0.05929044634103775,
-0.001227821339853108,
-0.05774284899234772,
0.07587939500808716,
-0.00727238180115819,
-0.06497463583946228,
0.004241098649799824,
0.0015632517170161009,
0.04317246377468109,
0.0023528854362666607,
0.06320637464523315,
-0.0022326582111418247,
-0.0429876334965229,
0.10013880580663681,
0.018424486741423607,
-0.00532765407115221,
-0.16170494258403778,
-0.0013367930660024285,
0.07003065198659897,
0.07434259355068207,
-0.03947022184729576,
-0.03568559139966965,
0.044846441596746445,
0.017624136060476303,
0.07182283699512482,
-0.011264600791037083,
-0.03816676139831543,
-0.03053167834877968,
-0.006065553054213524,
-0.005594862159341574,
-0.08634518831968307,
0.07821708172559738,
-0.026480410248041153,
-0.06399454176425934,
0.05185002088546753,
0.005863470491021872,
0.0351046547293663,
0.03025013394653797,
-0.03645551949739456,
-0.0071366154588758945,
0.07106692343950272,
0.06502201408147812,
0.002250773599371314,
-0.02816113270819187,
0.030177606269717216,
-0.012977777980268002,
0.052763018757104874,
-0.08054930716753006,
-0.020113278180360794,
-0.025913968682289124,
0.0002179475995944813,
0.003554311115294695,
-0.018186291679739952,
-0.07031730562448502,
-0.025116074830293655,
-0.037959951907396317,
-0.060651134699583054,
0.0627162978053093,
-0.03847312927246094,
-0.011531660333275795,
-0.05895308032631874,
-0.009804691188037395,
-0.040885619819164276,
0.029089735820889473,
-0.06240370497107506,
0.009060232900083065,
0.06031562760472298,
0.003736312035471201,
-0.08007626235485077,
-0.0041144127026200294,
0.09873678535223007,
-0.02718610316514969,
-0.019583139568567276,
0.02233792468905449,
0.022394562140107155,
-0.06864063441753387,
0.010916536673903465,
0.08425398170948029,
0.037446532398462296,
-0.03837299719452858,
0.03554606810212135,
-0.05721837654709816,
0.055393412709236145,
-0.01473847683519125,
0.08908671885728836,
0.07754084467887878,
-0.015863988548517227,
-0.058344122022390366,
0.04103865846991539,
-0.060399413108825684,
0.05998065695166588,
-0.0627298355102539,
0.043919604271650314,
-0.012941387481987476,
-2.6907981175424486e-35,
0.03212238475680351,
0.016813192516565323,
-0.038266994059085846,
0.09629945456981659,
0.0034204963594675064,
-0.043730732053518295,
0.07962305098772049,
-0.06680531799793243,
-0.001448549679480493,
-0.037422168999910355,
-0.01237249281257391,
0.020445462316274643,
0.003797712503001094,
0.06418747454881668,
0.011208394542336464,
0.018203608691692352,
0.06773237138986588,
0.022809427231550217,
0.019024807959794998,
0.08262447267770767,
0.05140906572341919,
0.08076870441436768,
-0.03100837953388691,
0.0035645237658172846,
0.010950863361358643,
0.003509214846417308,
-0.03212149068713188,
-0.022904543206095695,
0.1060454472899437,
0.019437050446867943,
-0.025940701365470886,
0.12700091302394867,
0.07034135609865189,
0.02461804449558258,
0.17380912601947784,
0.00231318105943501,
-0.027866415679454803,
0.035408198833465576,
0.04085686430335045,
-0.06358988583087921,
-0.02634246274828911,
-0.01718122512102127,
0.056923601776361465,
0.08017424494028091,
0.01972578465938568,
-0.09129304438829422,
0.009325536899268627,
-0.019736703485250473,
-0.08441236615180969,
-0.08921034634113312,
-0.00877448357641697,
0.00005046046135248616,
-0.004734283313155174,
0.0506356842815876,
0.007158244028687477,
-0.09195060282945633,
0.007250224705785513,
-0.09251276403665543,
0.017099743708968163,
-0.09652583301067352,
0.05285239592194557,
-0.03158411383628845,
-0.00734315998852253,
0.020096059888601303,
-0.03152560070157051,
-0.006307341158390045,
-0.016805239021778107,
-0.026060335338115692,
0.05133828520774841,
0.026142694056034088,
-0.021843140944838524,
0.08689621090888977,
-0.0070776487700641155,
-0.01829354651272297,
0.06189576908946037,
-0.0431949682533741,
0.014251120388507843,
-0.0009914734400808811,
0.0847373902797699,
0.02451293356716633,
-0.021057751029729843,
-0.06345154345035553,
-0.10061535984277725,
-0.01767546497285366,
-0.002744964323937893,
0.014021383598446846,
-0.001604488235898316,
-0.07856781035661697,
-0.08255299180746078,
-0.02780149132013321,
-0.02243407815694809,
-0.026360299438238144,
0.0659010261297226,
0.032194189727306366,
-0.0013832452241331339,
-3.4055632546756355e-33,
0.047759294509887695,
-0.03766282647848129,
0.06528928875923157,
-0.08556335419416428,
0.0074701374396681786,
0.021071435883641243,
0.046385787427425385,
0.05466874688863754,
0.01006584893912077,
-0.04747147485613823,
0.03208833932876587,
0.038197558373212814,
0.023518137633800507,
-0.011620341800153255,
-0.11334719508886337,
0.06151839345693588,
0.048987071961164474,
-0.03388674184679985,
0.03355276957154274,
-0.0014344194205477834,
-0.08780219405889511,
-0.054282624274492264,
0.08005715161561966,
0.01808437705039978,
-0.0067614903673529625,
-0.07543434202671051,
0.009806444868445396,
-0.0005114768864586949,
-0.05272672697901726,
-0.02556702494621277,
0.004296250641345978,
-0.02700035832822323,
0.013700458221137524,
-0.04699207842350006,
-0.06037231162190437,
0.02483545057475567,
-0.09602391719818115,
-0.09055739641189575,
-0.009516414254903793,
0.00001751035961206071,
0.05951656401157379,
-0.023790372535586357,
-0.03231954947113991,
0.04918176308274269,
-0.0201187115162611,
-0.021267462521791458,
0.006217708345502615,
0.0019509318517521024,
-0.18708084523677826,
-0.07439721375703812,
-0.04205426573753357,
0.031038185581564903,
0.05495345965027809,
-0.009340650402009487,
-0.010444840416312218,
-0.008211622945964336,
-0.045289624482393265,
0.05879231542348862,
0.018749501556158066,
0.03563971817493439,
-0.06685362756252289,
-0.04323238879442215,
0.03920372948050499,
0.04934123530983925,
0.04208679124712944,
-0.029814474284648895,
-0.022379295900464058,
-0.05717666074633598,
0.05213947966694832,
0.016528675332665443,
-0.019039778038859367,
-0.0282893143594265,
-0.027756642550230026,
-0.04347608610987663,
0.034862857311964035,
0.016506779938936234,
0.0017569297924637794,
-0.029391421005129814,
0.04144786670804024,
-0.05704205110669136,
0.018959641456604004,
0.05768641456961632,
-0.04415594041347504,
-0.05056457594037056,
0.0602748729288578,
0.00364141003228724,
-0.010667907074093819,
0.08441581577062607,
-0.029613422229886055,
0.05704038590192795,
0.051283229142427444,
-0.062449630349874496,
0.024757051840424538,
-0.03023219108581543,
0.11572004854679108,
-5.044167039613967e-8,
0.03274128586053848,
-0.007457436062395573,
-0.030113987624645233,
0.001354907057248056,
-0.041620176285505295,
-0.06637915968894958,
-0.015654396265745163,
-0.012904930859804153,
0.030445339158177376,
-0.004255798179656267,
0.03655193746089935,
-0.04264647513628006,
-0.1288893222808838,
-0.1352246105670929,
0.0015779094537720084,
0.04368726536631584,
0.0009137457818724215,
0.013069558888673782,
-0.016542945057153702,
0.04855955392122269,
0.017644017934799194,
-0.024693382903933525,
0.028843170031905174,
0.011990818195044994,
-0.0907350406050682,
-0.02023450843989849,
-0.06512949615716934,
-0.04072790592908859,
-0.04213632270693779,
0.029632167890667915,
0.06459324806928635,
-0.06409672647714615,
0.03538898006081581,
0.10995402932167053,
-0.03911620378494263,
0.008495200425386429,
-0.07605811953544617,
-0.04593869298696518,
0.001029031933285296,
-0.11895405501127243,
0.06843692809343338,
0.04813137277960777,
0.03235296905040741,
0.010695215314626694,
0.07187682390213013,
0.09372260421514511,
-0.0022207004949450493,
0.0657944306731224,
0.03233783692121506,
0.04643953591585159,
-0.06484119594097137,
0.06381430476903915,
-0.01592165417969227,
-0.012466472573578358,
-0.07646645605564117,
-0.03039410151541233,
-0.026938412338495255,
0.05745337903499603,
-0.006127286236733198,
0.006374327931553125,
-0.02043537236750126,
-0.021567005664110184,
-0.046824488788843155,
0.029479747638106346
] |
1401.6561
|
Anna Viatkina
|
A. V. Viatkina, M. G. Kozlov
|
Sensitivity of Tunneling-Rotational Transitions in Ethylene Glycol to
Variation of Electron-to-Proton Mass Ratio
|
revtex, 8p, 2fig, accepted to J.Mol.Spec; v.2: one more figure added
and several new transitions included
| null |
10.1016/j.jms.2014.03.002
| null |
physics.atom-ph astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Ethylene glycol in its ground conformation has tunneling transition with the
frequency about 7 GHz. This leads to a rather complicated tunneling-rotational
spectrum. Because tunneling and rotational energies have different dependence
on the electron-to-proton mass ratio $\mu$, this spectrum is highly sensitive
to the possible $\mu$ variation. We used simple 14 parameter effective
Hamiltonian to calculate dimensionless sensitivity coefficients $Q_\mu$ of the
tunneling-rotational transitions and found that they lie in the range from
$-17$ to $+18$. Ethylene glycol has been detected in the interstellar medium.
All this makes it one of the most sensitive probes of $\mu$ variation at the
large space and time scales.
|
[
{
"created": "Sat, 25 Jan 2014 18:04:13 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Mar 2014 17:24:34 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Viatkina",
"A. V.",
""
],
[
"Kozlov",
"M. G.",
""
]
] |
[
-0.03738567233085632,
-0.008548918180167675,
0.04936857149004936,
-0.000935218355152756,
0.012466363608837128,
-0.07825936377048492,
-0.034616366028785706,
0.08543575555086136,
0.010953959077596664,
-0.017628267407417297,
-0.0215530414134264,
-0.08562718331813812,
-0.05928240716457367,
-0.06122840568423271,
0.017033496871590614,
-0.025080520659685135,
0.0713081955909729,
-0.00680349487811327,
-0.016831060871481895,
-0.02107248082756996,
-0.07122817635536194,
-0.0024460593704134226,
0.0037028626538813114,
-0.03899887576699257,
0.004890661220997572,
-0.03035658411681652,
-0.01688215881586075,
-0.0013501199427992105,
0.0262241642922163,
-0.03370141237974167,
0.03812652453780174,
0.07721444219350815,
-0.11861532181501389,
0.037616606801748276,
0.03127266839146614,
-0.028507128357887268,
0.04849680885672569,
-0.04355316609144211,
0.013920619152486324,
-0.03940080106258392,
0.0848541110754013,
0.023840226233005524,
0.026146020740270615,
-0.0019127249252051115,
-0.053820546716451645,
-0.058855678886175156,
0.0018135890131816268,
-0.02378791570663452,
-0.023931292816996574,
-0.06353557854890823,
0.0892292857170105,
0.03320116177201271,
0.02536700665950775,
-0.0018221399514004588,
0.04272110015153885,
-0.03719848394393921,
-0.0105816051363945,
-0.02907026745378971,
0.055594462901353836,
-0.035992544144392014,
0.024888772517442703,
-0.06380494683980942,
-0.019816704094409943,
0.007417641114443541,
-0.0321420282125473,
-0.04189637675881386,
0.0763690322637558,
-0.08305161446332932,
-0.007091799285262823,
0.05369248986244202,
-0.0646483302116394,
0.047981616109609604,
-0.05277186632156372,
-0.0448535680770874,
0.1266011744737625,
0.0397983081638813,
0.0003668040153570473,
-0.0067367833107709885,
0.04958422854542732,
-0.058527156710624695,
-0.018513590097427368,
0.01273343339562416,
0.01897900365293026,
0.01888353005051613,
-0.012594955042004585,
-0.024808550253510475,
0.03902657702565193,
0.0576002262532711,
-0.044027749449014664,
-0.07794613391160965,
0.01840188540518284,
-0.06728510558605194,
-0.15402479469776154,
0.0006230184226296842,
-0.03024008497595787,
0.044137198477983475,
0.07998832315206528,
-0.06518081575632095,
0.04400895535945892,
-0.0045404862612485886,
0.04408462718129158,
0.03251468762755394,
-0.06346160918474197,
0.048258665949106216,
-0.07628864049911499,
0.017459683120250702,
0.11846873909235,
-0.01910613290965557,
-0.04056348651647568,
0.00028735693194903433,
0.0216507650911808,
0.023585120216012,
-0.013577344827353954,
-0.01966293901205063,
-0.05264069885015488,
-0.045440707355737686,
0.039140909910202026,
0.07597282528877258,
0.002674769377335906,
0.020095160230994225,
-0.07082677632570267,
0.04777088388800621,
-0.05565379187464714,
0.05772034451365471,
-0.06276777386665344,
0.01204688474535942,
-0.026845818385481834,
5.509241720231625e-34,
0.018396548926830292,
0.03823480382561684,
0.03116234391927719,
-0.0015296518104150891,
0.041031237691640854,
-0.04056083410978317,
-0.04773992300033569,
0.036685969680547714,
-0.09247666597366333,
0.055652979761362076,
-0.07615271210670471,
0.03007548488676548,
-0.02207569219172001,
-0.019942251965403557,
-0.03335653617978096,
0.04913373291492462,
0.006333568599075079,
-0.06421835720539093,
-0.02586296945810318,
-0.07278063148260117,
0.028038326650857925,
-0.06774671375751495,
-0.006782198790460825,
-0.016917234286665916,
0.07552550733089447,
-0.007820055820047855,
0.03314208984375,
-0.006548355799168348,
0.0005493384087458253,
-0.027862418442964554,
-0.08472773432731628,
-0.007879568263888359,
-0.06109871715307236,
0.05197257176041603,
0.003467797301709652,
0.005974100437015295,
-0.003034000750631094,
0.03157952427864075,
0.055843647569417953,
-0.04798044636845589,
0.031156891956925392,
0.002945390297099948,
0.11972406506538391,
-0.023435086011886597,
-0.015625379979610443,
0.010209362022578716,
0.06511156260967255,
-0.05913085490465164,
0.0221698060631752,
0.08211970329284668,
0.024446966126561165,
-0.018130363896489143,
-0.006507835350930691,
-0.011761308647692204,
0.07061560451984406,
0.011361927725374699,
0.08745714277029037,
-0.02648184634745121,
-0.05351661518216133,
0.08095909655094147,
0.039454713463783264,
-0.011520830914378166,
0.02702414244413376,
-0.012693450786173344,
0.06107224524021149,
0.16548462212085724,
-0.09222211688756943,
-0.016100289300084114,
-0.03631219640374184,
0.07601633667945862,
-0.06411593407392502,
0.04035383090376854,
0.08548576384782791,
-0.05409528687596321,
0.08001673221588135,
-0.0046354252845048904,
-0.0008474087226204574,
-0.042551085352897644,
0.07406558096408844,
0.043181050568819046,
-0.04849197342991829,
-0.03254253789782524,
-0.000005063612206868129,
-0.05028631165623665,
-0.14082114398479462,
-0.07174884527921677,
-0.11909698694944382,
-0.01848168671131134,
-0.0007516592158935964,
0.01541305985301733,
0.08858650922775269,
-0.05277774855494499,
0.06801863759756088,
-0.020343035459518433,
-0.15467339754104614,
-2.8809482074273105e-33,
0.011489581316709518,
-0.001576636335812509,
0.05325780063867569,
0.04192235693335533,
0.02534455806016922,
0.020338673144578934,
-0.0018561703618615866,
0.09164983034133911,
-0.03377949446439743,
0.009942387230694294,
0.11381029337644577,
0.06055554002523422,
0.00834968313574791,
-0.0923285260796547,
0.029058262705802917,
0.01397207472473383,
-0.013295338489115238,
0.0853828638792038,
0.09324828535318375,
-0.033984895795583725,
-0.00042076403042301536,
-0.033483341336250305,
0.00024209552793763578,
-0.02019326016306877,
-0.009946504607796669,
0.004926641937345266,
0.07290327548980713,
-0.07425906509160995,
-0.04339931160211563,
-0.0016300734132528305,
-0.1121528297662735,
0.010369770228862762,
-0.029295573011040688,
0.04243220016360283,
-0.010399430990219116,
0.020499318838119507,
0.008582770824432373,
-0.009674943052232265,
-0.10764420032501221,
0.04079235717654228,
-0.0628940761089325,
0.1601622998714447,
-0.017934955656528473,
0.009738384746015072,
0.03136983886361122,
0.082307830452919,
-0.0527411587536335,
-0.015561265870928764,
0.010273179970681667,
-0.017559794709086418,
0.03672172501683235,
0.047920167446136475,
0.027883874252438545,
0.0056014335714280605,
-0.01487500499933958,
0.09123257547616959,
-0.010491102002561092,
0.03797207772731781,
0.01553316693753004,
0.01227649673819542,
0.0187396127730608,
-0.05500359460711479,
-0.017739810049533844,
0.004905385430902243,
-0.024572249501943588,
-0.024916259571909904,
-0.041113946586847305,
0.006928588729351759,
-0.05507035553455353,
0.037878237664699554,
0.04491245001554489,
-0.06634658575057983,
0.02419886365532875,
-0.01614237390458584,
0.014722672291100025,
-0.041983336210250854,
0.09961491823196411,
-0.15012869238853455,
-0.023967936635017395,
0.016338206827640533,
0.07289080321788788,
0.020439261570572853,
-0.035118039697408676,
-0.015661871060729027,
0.06804057955741882,
0.04113712161779404,
-0.0440533310174942,
-0.0013192809419706464,
0.022064808756113052,
0.030490586534142494,
0.03825139254331589,
-0.02451099269092083,
0.016027167439460754,
0.02474680170416832,
0.05701848119497299,
-4.689265864499248e-8,
0.046118974685668945,
-0.03140731155872345,
-0.008183096535503864,
-0.04085097461938858,
-0.026061223819851875,
0.02562394179403782,
0.007100963499397039,
0.0075372071005403996,
-0.022001689299941063,
0.01629471592605114,
0.0420653373003006,
-0.04515250772237778,
0.003842251840978861,
0.022057093679904938,
0.03783796727657318,
0.07428805530071259,
-0.05820994824171066,
-0.04946426302194595,
0.03446365147829056,
0.052474360913038254,
-0.02159714698791504,
0.09294387698173523,
-0.06062241271138191,
-0.005547786131501198,
0.06176741048693657,
0.05954208970069885,
-0.02280561439692974,
0.05092357471585274,
-0.04370841756463051,
-0.029165595769882202,
-0.009784511290490627,
-0.019976060837507248,
0.0002746352693066001,
0.09740153700113297,
-0.1343875527381897,
0.03742148354649544,
-0.11369560658931732,
0.05160544067621231,
-0.03857758268713951,
0.03537489473819733,
-0.007045868784189224,
0.06731458008289337,
-0.04822735860943794,
0.0030300933867692947,
-0.06152772903442383,
0.0714571550488472,
-0.027182478457689285,
0.020768053829669952,
-0.03625725582242012,
0.05614577978849411,
0.04753239080309868,
0.0246578399091959,
0.015686366707086563,
-0.066458560526371,
-0.08314390480518341,
-0.05310959368944168,
-0.12072157114744186,
-0.0017901998944580555,
-0.02434375137090683,
0.007620342541486025,
0.04456121474504471,
-0.06403660029172897,
-0.059654466807842255,
0.010570895858108997
] | null | null | null | null | null | null | null |
[
-0.03738567233085632,
-0.008548918180167675,
0.04936857149004936,
-0.000935218355152756,
0.012466363608837128,
-0.07825936377048492,
-0.034616366028785706,
0.08543575555086136,
0.010953959077596664,
-0.017628267407417297,
-0.0215530414134264,
-0.08562718331813812,
-0.05928240716457367,
-0.06122840568423271,
0.017033496871590614,
-0.025080520659685135,
0.0713081955909729,
-0.00680349487811327,
-0.016831060871481895,
-0.02107248082756996,
-0.07122817635536194,
-0.0024460593704134226,
0.0037028626538813114,
-0.03899887576699257,
0.004890661220997572,
-0.03035658411681652,
-0.01688215881586075,
-0.0013501199427992105,
0.0262241642922163,
-0.03370141237974167,
0.03812652453780174,
0.07721444219350815,
-0.11861532181501389,
0.037616606801748276,
0.03127266839146614,
-0.028507128357887268,
0.04849680885672569,
-0.04355316609144211,
0.013920619152486324,
-0.03940080106258392,
0.0848541110754013,
0.023840226233005524,
0.026146020740270615,
-0.0019127249252051115,
-0.053820546716451645,
-0.058855678886175156,
0.0018135890131816268,
-0.02378791570663452,
-0.023931292816996574,
-0.06353557854890823,
0.0892292857170105,
0.03320116177201271,
0.02536700665950775,
-0.0018221399514004588,
0.04272110015153885,
-0.03719848394393921,
-0.0105816051363945,
-0.02907026745378971,
0.055594462901353836,
-0.035992544144392014,
0.024888772517442703,
-0.06380494683980942,
-0.019816704094409943,
0.007417641114443541,
-0.0321420282125473,
-0.04189637675881386,
0.0763690322637558,
-0.08305161446332932,
-0.007091799285262823,
0.05369248986244202,
-0.0646483302116394,
0.047981616109609604,
-0.05277186632156372,
-0.0448535680770874,
0.1266011744737625,
0.0397983081638813,
0.0003668040153570473,
-0.0067367833107709885,
0.04958422854542732,
-0.058527156710624695,
-0.018513590097427368,
0.01273343339562416,
0.01897900365293026,
0.01888353005051613,
-0.012594955042004585,
-0.024808550253510475,
0.03902657702565193,
0.0576002262532711,
-0.044027749449014664,
-0.07794613391160965,
0.01840188540518284,
-0.06728510558605194,
-0.15402479469776154,
0.0006230184226296842,
-0.03024008497595787,
0.044137198477983475,
0.07998832315206528,
-0.06518081575632095,
0.04400895535945892,
-0.0045404862612485886,
0.04408462718129158,
0.03251468762755394,
-0.06346160918474197,
0.048258665949106216,
-0.07628864049911499,
0.017459683120250702,
0.11846873909235,
-0.01910613290965557,
-0.04056348651647568,
0.00028735693194903433,
0.0216507650911808,
0.023585120216012,
-0.013577344827353954,
-0.01966293901205063,
-0.05264069885015488,
-0.045440707355737686,
0.039140909910202026,
0.07597282528877258,
0.002674769377335906,
0.020095160230994225,
-0.07082677632570267,
0.04777088388800621,
-0.05565379187464714,
0.05772034451365471,
-0.06276777386665344,
0.01204688474535942,
-0.026845818385481834,
5.509241720231625e-34,
0.018396548926830292,
0.03823480382561684,
0.03116234391927719,
-0.0015296518104150891,
0.041031237691640854,
-0.04056083410978317,
-0.04773992300033569,
0.036685969680547714,
-0.09247666597366333,
0.055652979761362076,
-0.07615271210670471,
0.03007548488676548,
-0.02207569219172001,
-0.019942251965403557,
-0.03335653617978096,
0.04913373291492462,
0.006333568599075079,
-0.06421835720539093,
-0.02586296945810318,
-0.07278063148260117,
0.028038326650857925,
-0.06774671375751495,
-0.006782198790460825,
-0.016917234286665916,
0.07552550733089447,
-0.007820055820047855,
0.03314208984375,
-0.006548355799168348,
0.0005493384087458253,
-0.027862418442964554,
-0.08472773432731628,
-0.007879568263888359,
-0.06109871715307236,
0.05197257176041603,
0.003467797301709652,
0.005974100437015295,
-0.003034000750631094,
0.03157952427864075,
0.055843647569417953,
-0.04798044636845589,
0.031156891956925392,
0.002945390297099948,
0.11972406506538391,
-0.023435086011886597,
-0.015625379979610443,
0.010209362022578716,
0.06511156260967255,
-0.05913085490465164,
0.0221698060631752,
0.08211970329284668,
0.024446966126561165,
-0.018130363896489143,
-0.006507835350930691,
-0.011761308647692204,
0.07061560451984406,
0.011361927725374699,
0.08745714277029037,
-0.02648184634745121,
-0.05351661518216133,
0.08095909655094147,
0.039454713463783264,
-0.011520830914378166,
0.02702414244413376,
-0.012693450786173344,
0.06107224524021149,
0.16548462212085724,
-0.09222211688756943,
-0.016100289300084114,
-0.03631219640374184,
0.07601633667945862,
-0.06411593407392502,
0.04035383090376854,
0.08548576384782791,
-0.05409528687596321,
0.08001673221588135,
-0.0046354252845048904,
-0.0008474087226204574,
-0.042551085352897644,
0.07406558096408844,
0.043181050568819046,
-0.04849197342991829,
-0.03254253789782524,
-0.000005063612206868129,
-0.05028631165623665,
-0.14082114398479462,
-0.07174884527921677,
-0.11909698694944382,
-0.01848168671131134,
-0.0007516592158935964,
0.01541305985301733,
0.08858650922775269,
-0.05277774855494499,
0.06801863759756088,
-0.020343035459518433,
-0.15467339754104614,
-2.8809482074273105e-33,
0.011489581316709518,
-0.001576636335812509,
0.05325780063867569,
0.04192235693335533,
0.02534455806016922,
0.020338673144578934,
-0.0018561703618615866,
0.09164983034133911,
-0.03377949446439743,
0.009942387230694294,
0.11381029337644577,
0.06055554002523422,
0.00834968313574791,
-0.0923285260796547,
0.029058262705802917,
0.01397207472473383,
-0.013295338489115238,
0.0853828638792038,
0.09324828535318375,
-0.033984895795583725,
-0.00042076403042301536,
-0.033483341336250305,
0.00024209552793763578,
-0.02019326016306877,
-0.009946504607796669,
0.004926641937345266,
0.07290327548980713,
-0.07425906509160995,
-0.04339931160211563,
-0.0016300734132528305,
-0.1121528297662735,
0.010369770228862762,
-0.029295573011040688,
0.04243220016360283,
-0.010399430990219116,
0.020499318838119507,
0.008582770824432373,
-0.009674943052232265,
-0.10764420032501221,
0.04079235717654228,
-0.0628940761089325,
0.1601622998714447,
-0.017934955656528473,
0.009738384746015072,
0.03136983886361122,
0.082307830452919,
-0.0527411587536335,
-0.015561265870928764,
0.010273179970681667,
-0.017559794709086418,
0.03672172501683235,
0.047920167446136475,
0.027883874252438545,
0.0056014335714280605,
-0.01487500499933958,
0.09123257547616959,
-0.010491102002561092,
0.03797207772731781,
0.01553316693753004,
0.01227649673819542,
0.0187396127730608,
-0.05500359460711479,
-0.017739810049533844,
0.004905385430902243,
-0.024572249501943588,
-0.024916259571909904,
-0.041113946586847305,
0.006928588729351759,
-0.05507035553455353,
0.037878237664699554,
0.04491245001554489,
-0.06634658575057983,
0.02419886365532875,
-0.01614237390458584,
0.014722672291100025,
-0.041983336210250854,
0.09961491823196411,
-0.15012869238853455,
-0.023967936635017395,
0.016338206827640533,
0.07289080321788788,
0.020439261570572853,
-0.035118039697408676,
-0.015661871060729027,
0.06804057955741882,
0.04113712161779404,
-0.0440533310174942,
-0.0013192809419706464,
0.022064808756113052,
0.030490586534142494,
0.03825139254331589,
-0.02451099269092083,
0.016027167439460754,
0.02474680170416832,
0.05701848119497299,
-4.689265864499248e-8,
0.046118974685668945,
-0.03140731155872345,
-0.008183096535503864,
-0.04085097461938858,
-0.026061223819851875,
0.02562394179403782,
0.007100963499397039,
0.0075372071005403996,
-0.022001689299941063,
0.01629471592605114,
0.0420653373003006,
-0.04515250772237778,
0.003842251840978861,
0.022057093679904938,
0.03783796727657318,
0.07428805530071259,
-0.05820994824171066,
-0.04946426302194595,
0.03446365147829056,
0.052474360913038254,
-0.02159714698791504,
0.09294387698173523,
-0.06062241271138191,
-0.005547786131501198,
0.06176741048693657,
0.05954208970069885,
-0.02280561439692974,
0.05092357471585274,
-0.04370841756463051,
-0.029165595769882202,
-0.009784511290490627,
-0.019976060837507248,
0.0002746352693066001,
0.09740153700113297,
-0.1343875527381897,
0.03742148354649544,
-0.11369560658931732,
0.05160544067621231,
-0.03857758268713951,
0.03537489473819733,
-0.007045868784189224,
0.06731458008289337,
-0.04822735860943794,
0.0030300933867692947,
-0.06152772903442383,
0.0714571550488472,
-0.027182478457689285,
0.020768053829669952,
-0.03625725582242012,
0.05614577978849411,
0.04753239080309868,
0.0246578399091959,
0.015686366707086563,
-0.066458560526371,
-0.08314390480518341,
-0.05310959368944168,
-0.12072157114744186,
-0.0017901998944580555,
-0.02434375137090683,
0.007620342541486025,
0.04456121474504471,
-0.06403660029172897,
-0.059654466807842255,
0.010570895858108997
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.