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
sequence | embeddings
sequence | 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
sequence |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1401.1381 | Ming Liu | Ming Liu (IETR), Jean-Fran\c{c}ois H\'elard (IETR), Matthieu
Crussi\`ere (IETR), Maryline H\'elard (IETR) | Reduced-complexity maximum-likelihood decoding for 3D MIMO code | IEEE Wireless Communications and Networking Conference (WCNC 2013),
Shanghai : China (2013) | null | 10.1109/WCNC.2013.6555219 | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The 3D MIMO code is a robust and efficient space-time coding scheme for the
distributed MIMO broadcasting. However, it suffers from the high computational
complexity if the optimal maximum-likelihood (ML) decoding is used. In this
paper we first investigate the unique properties of the 3D MIMO code and
consequently propose a simplified decoding algorithm without sacrificing the ML
optimality. Analysis shows that the decoding complexity is reduced from O(M^8)
to O(M^{4.5}) in quasi-static channels when M-ary square QAM constellation is
used. Moreover, we propose an efficient implementation of the simplified ML
decoder which achieves a much lower decoding time delay compared to the
classical sphere decoder with Schnorr-Euchner enumeration.
| [
{
"created": "Tue, 7 Jan 2014 13:52:37 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Liu",
"Ming",
"",
"IETR"
],
[
"Hélard",
"Jean-François",
"",
"IETR"
],
[
"Crussière",
"Matthieu",
"",
"IETR"
],
[
"Hélard",
"Maryline",
"",
"IETR"
]
] | [
0.01946927048265934,
-0.0780411958694458,
-0.012405295856297016,
-0.036845557391643524,
-0.0017615251708775759,
0.01798233389854431,
-0.045506130903959274,
-0.07203088700771332,
0.047753918915987015,
0.060462623834609985,
-0.0034840123262256384,
0.10701799392700195,
-0.025098005309700966,
-0.0212588831782341,
-0.02201126515865326,
-0.024081699550151825,
0.03584304451942444,
0.04339681938290596,
-0.03901861608028412,
0.004894714802503586,
0.11032489687204361,
0.001958930864930153,
-0.052844129502773285,
0.06837999820709229,
0.10807891190052032,
-0.009754873812198639,
0.12137573957443237,
0.05019595846533775,
0.008842293173074722,
0.06980544328689575,
0.058688998222351074,
0.018425924703478813,
0.1011594831943512,
-0.01384671125560999,
0.012931539677083492,
0.014649652875959873,
-0.0017883292166516185,
-0.07965129613876343,
-0.05105126276612282,
0.0989672988653183,
-0.06928300857543945,
0.031375523656606674,
0.0014659797307103872,
-0.02092149667441845,
-0.022850681096315384,
0.01653793640434742,
0.04220309481024742,
-0.03736890107393265,
0.004916756879538298,
-0.08042203634977341,
0.05050806328654289,
-0.007251985836774111,
-0.0896104946732521,
-0.004427969455718994,
0.006738225929439068,
-0.08373703807592392,
-0.06633707880973816,
0.016750311478972435,
-0.003958798944950104,
0.039659421890974045,
-0.03795706480741501,
0.009935577400028706,
0.030556974932551384,
0.05219677463173866,
0.039431095123291016,
-0.07026511430740356,
-0.013243342749774456,
0.03323889151215553,
-0.08813594281673431,
-0.009441159665584564,
-0.10166778415441513,
-0.021918324753642082,
-0.03545941784977913,
0.017226973548531532,
0.029452811926603317,
-0.0027632361743599176,
0.05061684176325798,
0.016435332596302032,
0.019378002732992172,
0.031100396066904068,
0.02093368023633957,
0.029880128800868988,
-0.05052756890654564,
0.03132297843694687,
-0.009865164756774902,
-0.058613937348127365,
-0.04805352911353111,
0.13767415285110474,
-0.016166428104043007,
-0.03133847936987877,
-0.0386611707508564,
-0.06635653227567673,
-0.02273148111999035,
0.05068887397646904,
-0.029775362461805344,
-0.03439883515238762,
0.009846018627285957,
0.030953193083405495,
-0.005010984838008881,
0.020292436704039574,
0.01666218973696232,
0.01038437057286501,
0.010391823016107082,
-0.042014624923467636,
0.06052401289343834,
-0.04015243798494339,
0.1349799484014511,
0.1004977822303772,
-0.004384221509099007,
0.04275568202137947,
-0.024664707481861115,
0.03880615904927254,
-0.003542816499248147,
-0.010054108686745167,
-0.04155295714735985,
0.12495595961809158,
0.041395153850317,
0.06492025405168533,
0.06148418411612511,
-0.015817435458302498,
0.01003407035022974,
-0.07786816358566284,
0.03822755813598633,
-0.012339162640273571,
-0.0203224029392004,
0.07815052568912506,
-0.019017016515135765,
2.51665112050596e-33,
-0.03893142193555832,
0.09500214457511902,
-0.04526150971651077,
0.07579150795936584,
-0.07164271175861359,
0.043787408620119095,
0.0600743368268013,
0.012088562361896038,
0.06813839823007584,
0.04838521033525467,
-0.05218791589140892,
-0.028096932917833328,
-0.035903166979551315,
-0.020082900300621986,
-0.027459105476737022,
0.00857324618846178,
-0.03281216695904732,
-0.04034894332289696,
-0.030109666287899017,
0.02551382966339588,
0.011139080859720707,
-0.07432936877012253,
-0.05688986927270889,
-0.03408646211028099,
0.062224823981523514,
0.01412870455533266,
0.01498145516961813,
-0.12460026890039444,
0.006793263368308544,
0.006727688014507294,
-0.0038017667829990387,
-0.05976317450404167,
-0.020886683836579323,
-0.0808311477303505,
0.05932426452636719,
-0.04228232428431511,
-0.036683183163404465,
-0.060980867594480515,
-0.11229362338781357,
-0.07023978978395462,
-0.02107190527021885,
-0.028436027467250824,
-0.02336176298558712,
-0.06064853072166443,
-0.026273980736732483,
-0.018656941130757332,
-0.03451639786362648,
-0.07206758856773376,
0.0004057847545482218,
0.025382284075021744,
0.13185366988182068,
0.04495326057076454,
-0.06636536866426468,
0.026759469881653786,
0.11376789957284927,
-0.047967955470085144,
-0.00012981431791558862,
0.06734389811754227,
0.06862400472164154,
0.09468910843133926,
-0.04432601481676102,
-0.05865846946835518,
0.07306154072284698,
-0.02225414477288723,
0.08562435209751129,
0.00248459680005908,
-0.0074917711317539215,
0.08007009327411652,
-0.028008773922920227,
0.04370446503162384,
0.010834276676177979,
-0.01482667401432991,
-0.00703427754342556,
-0.002549189841374755,
-0.02045086771249771,
-0.06790593266487122,
0.07572817802429199,
-0.09179322421550751,
0.007625062949955463,
-0.02149057388305664,
-0.01658373512327671,
-0.0052285147830843925,
-0.03685059770941734,
0.05446697771549225,
-0.022535357624292374,
0.00935863796621561,
0.06029597297310829,
0.0032309074886143208,
-0.019954347983002663,
0.05053013190627098,
-0.0622510202229023,
-0.049963805824518204,
0.007726691663265228,
-0.02391085773706436,
-0.04511198773980141,
-2.3887813960364885e-33,
-0.026677919551730156,
-0.01657339185476303,
-0.030963176861405373,
-0.02600502036511898,
-0.025726700201630592,
-0.11716673523187637,
-0.03872080519795418,
0.01854012720286846,
-0.02075914666056633,
0.01668689027428627,
-0.05622260272502899,
-0.05068650469183922,
0.055472809821367264,
0.07590169459581375,
0.09910741448402405,
0.030303511768579483,
0.08030805736780167,
0.006704599596560001,
0.02292531356215477,
0.0017080220859497786,
0.046324022114276886,
0.04571813344955444,
0.009797805920243263,
-0.03360595554113388,
-0.031660471111536026,
0.05431155487895012,
-0.050605278462171555,
0.07457924634218216,
-0.009573373943567276,
0.04521612823009491,
0.0026749498210847378,
-0.007795839104801416,
0.0017921472899615765,
-0.020184066146612167,
-0.00871170312166214,
0.08275699615478516,
0.03427288308739662,
0.046681422740221024,
-0.05538814142346382,
0.011722424067556858,
0.041186101734638214,
0.001814521150663495,
0.028455857187509537,
0.0162600539624691,
0.013048151507973671,
0.005060961004346609,
0.008148211985826492,
-0.01687033101916313,
0.027831872925162315,
0.07181857526302338,
-0.0176871195435524,
-0.044506389647722244,
-0.03599672392010689,
0.07769981771707535,
0.04357399791479111,
-0.02151435613632202,
-0.08234863728284836,
0.024195311591029167,
0.0899166539311409,
0.00007673386426176876,
0.04675815999507904,
-0.08723146468400955,
0.006474644877016544,
0.004843790549784899,
0.005557530093938112,
0.000380902667529881,
0.08893048018217087,
0.006927946582436562,
-0.05042058229446411,
0.04619549587368965,
0.010914770886301994,
-0.04817767068743706,
-0.07301931083202362,
0.03402978554368019,
0.027678143233060837,
0.04515966773033142,
0.01607995480298996,
0.11184237897396088,
-0.04120944067835808,
0.015471747145056725,
0.016777871176600456,
-0.01597214862704277,
-0.010106644593179226,
0.08022481203079224,
0.02354310266673565,
-0.01002432219684124,
0.10824445635080338,
-0.0010905424132943153,
-0.08344858139753342,
-0.05627288669347763,
0.03316700458526611,
0.06690576672554016,
0.03516118600964546,
0.040734659880399704,
-0.014756279066205025,
-4.406621556540813e-8,
-0.04716236889362335,
-0.09104643017053604,
-0.00016740633873268962,
-0.09729950875043869,
-0.031595125794410706,
-0.02589433267712593,
-0.017830558121204376,
-0.05009474232792854,
-0.02119385451078415,
-0.07951055467128754,
0.04135473072528839,
-0.09645793586969376,
-0.047752875834703445,
0.020608944818377495,
0.044930800795555115,
0.02454875409603119,
-0.10980365425348282,
-0.08117169886827469,
0.042821694165468216,
0.11181163042783737,
-0.023321671411395073,
0.06185555085539818,
0.05134224146604538,
0.010885495692491531,
-0.04605747386813164,
0.05063563585281372,
0.0742783173918724,
0.0060097514651715755,
0.04282182455062866,
-0.0720379427075386,
-0.01752791926264763,
0.0788508877158165,
-0.02954196184873581,
0.06494064629077911,
-0.18957020342350006,
-0.06203053146600723,
0.011356977745890617,
-0.004393668845295906,
0.0023556638043373823,
0.030733095481991768,
-0.06248995289206505,
-0.0510113425552845,
-0.031557269394397736,
-0.03096705675125122,
0.027247650548815727,
0.029358407482504845,
0.07199573516845703,
-0.013026968576014042,
-0.05656154453754425,
-0.03989594802260399,
-0.0425025150179863,
0.0414680577814579,
0.006742566358298063,
-0.022600354626774788,
0.0047425776720047,
-0.0034326668828725815,
0.0622921921312809,
-0.05077880620956421,
0.06959331780672073,
-0.046646181493997574,
-0.06869608908891678,
0.03010469675064087,
-0.056964997202157974,
-0.017110127955675125
] | null | null | null | null | null | null | null | [
0.01946927048265934,
-0.0780411958694458,
-0.012405295856297016,
-0.036845557391643524,
-0.0017615251708775759,
0.01798233389854431,
-0.045506130903959274,
-0.07203088700771332,
0.047753918915987015,
0.060462623834609985,
-0.0034840123262256384,
0.10701799392700195,
-0.025098005309700966,
-0.0212588831782341,
-0.02201126515865326,
-0.024081699550151825,
0.03584304451942444,
0.04339681938290596,
-0.03901861608028412,
0.004894714802503586,
0.11032489687204361,
0.001958930864930153,
-0.052844129502773285,
0.06837999820709229,
0.10807891190052032,
-0.009754873812198639,
0.12137573957443237,
0.05019595846533775,
0.008842293173074722,
0.06980544328689575,
0.058688998222351074,
0.018425924703478813,
0.1011594831943512,
-0.01384671125560999,
0.012931539677083492,
0.014649652875959873,
-0.0017883292166516185,
-0.07965129613876343,
-0.05105126276612282,
0.0989672988653183,
-0.06928300857543945,
0.031375523656606674,
0.0014659797307103872,
-0.02092149667441845,
-0.022850681096315384,
0.01653793640434742,
0.04220309481024742,
-0.03736890107393265,
0.004916756879538298,
-0.08042203634977341,
0.05050806328654289,
-0.007251985836774111,
-0.0896104946732521,
-0.004427969455718994,
0.006738225929439068,
-0.08373703807592392,
-0.06633707880973816,
0.016750311478972435,
-0.003958798944950104,
0.039659421890974045,
-0.03795706480741501,
0.009935577400028706,
0.030556974932551384,
0.05219677463173866,
0.039431095123291016,
-0.07026511430740356,
-0.013243342749774456,
0.03323889151215553,
-0.08813594281673431,
-0.009441159665584564,
-0.10166778415441513,
-0.021918324753642082,
-0.03545941784977913,
0.017226973548531532,
0.029452811926603317,
-0.0027632361743599176,
0.05061684176325798,
0.016435332596302032,
0.019378002732992172,
0.031100396066904068,
0.02093368023633957,
0.029880128800868988,
-0.05052756890654564,
0.03132297843694687,
-0.009865164756774902,
-0.058613937348127365,
-0.04805352911353111,
0.13767415285110474,
-0.016166428104043007,
-0.03133847936987877,
-0.0386611707508564,
-0.06635653227567673,
-0.02273148111999035,
0.05068887397646904,
-0.029775362461805344,
-0.03439883515238762,
0.009846018627285957,
0.030953193083405495,
-0.005010984838008881,
0.020292436704039574,
0.01666218973696232,
0.01038437057286501,
0.010391823016107082,
-0.042014624923467636,
0.06052401289343834,
-0.04015243798494339,
0.1349799484014511,
0.1004977822303772,
-0.004384221509099007,
0.04275568202137947,
-0.024664707481861115,
0.03880615904927254,
-0.003542816499248147,
-0.010054108686745167,
-0.04155295714735985,
0.12495595961809158,
0.041395153850317,
0.06492025405168533,
0.06148418411612511,
-0.015817435458302498,
0.01003407035022974,
-0.07786816358566284,
0.03822755813598633,
-0.012339162640273571,
-0.0203224029392004,
0.07815052568912506,
-0.019017016515135765,
2.51665112050596e-33,
-0.03893142193555832,
0.09500214457511902,
-0.04526150971651077,
0.07579150795936584,
-0.07164271175861359,
0.043787408620119095,
0.0600743368268013,
0.012088562361896038,
0.06813839823007584,
0.04838521033525467,
-0.05218791589140892,
-0.028096932917833328,
-0.035903166979551315,
-0.020082900300621986,
-0.027459105476737022,
0.00857324618846178,
-0.03281216695904732,
-0.04034894332289696,
-0.030109666287899017,
0.02551382966339588,
0.011139080859720707,
-0.07432936877012253,
-0.05688986927270889,
-0.03408646211028099,
0.062224823981523514,
0.01412870455533266,
0.01498145516961813,
-0.12460026890039444,
0.006793263368308544,
0.006727688014507294,
-0.0038017667829990387,
-0.05976317450404167,
-0.020886683836579323,
-0.0808311477303505,
0.05932426452636719,
-0.04228232428431511,
-0.036683183163404465,
-0.060980867594480515,
-0.11229362338781357,
-0.07023978978395462,
-0.02107190527021885,
-0.028436027467250824,
-0.02336176298558712,
-0.06064853072166443,
-0.026273980736732483,
-0.018656941130757332,
-0.03451639786362648,
-0.07206758856773376,
0.0004057847545482218,
0.025382284075021744,
0.13185366988182068,
0.04495326057076454,
-0.06636536866426468,
0.026759469881653786,
0.11376789957284927,
-0.047967955470085144,
-0.00012981431791558862,
0.06734389811754227,
0.06862400472164154,
0.09468910843133926,
-0.04432601481676102,
-0.05865846946835518,
0.07306154072284698,
-0.02225414477288723,
0.08562435209751129,
0.00248459680005908,
-0.0074917711317539215,
0.08007009327411652,
-0.028008773922920227,
0.04370446503162384,
0.010834276676177979,
-0.01482667401432991,
-0.00703427754342556,
-0.002549189841374755,
-0.02045086771249771,
-0.06790593266487122,
0.07572817802429199,
-0.09179322421550751,
0.007625062949955463,
-0.02149057388305664,
-0.01658373512327671,
-0.0052285147830843925,
-0.03685059770941734,
0.05446697771549225,
-0.022535357624292374,
0.00935863796621561,
0.06029597297310829,
0.0032309074886143208,
-0.019954347983002663,
0.05053013190627098,
-0.0622510202229023,
-0.049963805824518204,
0.007726691663265228,
-0.02391085773706436,
-0.04511198773980141,
-2.3887813960364885e-33,
-0.026677919551730156,
-0.01657339185476303,
-0.030963176861405373,
-0.02600502036511898,
-0.025726700201630592,
-0.11716673523187637,
-0.03872080519795418,
0.01854012720286846,
-0.02075914666056633,
0.01668689027428627,
-0.05622260272502899,
-0.05068650469183922,
0.055472809821367264,
0.07590169459581375,
0.09910741448402405,
0.030303511768579483,
0.08030805736780167,
0.006704599596560001,
0.02292531356215477,
0.0017080220859497786,
0.046324022114276886,
0.04571813344955444,
0.009797805920243263,
-0.03360595554113388,
-0.031660471111536026,
0.05431155487895012,
-0.050605278462171555,
0.07457924634218216,
-0.009573373943567276,
0.04521612823009491,
0.0026749498210847378,
-0.007795839104801416,
0.0017921472899615765,
-0.020184066146612167,
-0.00871170312166214,
0.08275699615478516,
0.03427288308739662,
0.046681422740221024,
-0.05538814142346382,
0.011722424067556858,
0.041186101734638214,
0.001814521150663495,
0.028455857187509537,
0.0162600539624691,
0.013048151507973671,
0.005060961004346609,
0.008148211985826492,
-0.01687033101916313,
0.027831872925162315,
0.07181857526302338,
-0.0176871195435524,
-0.044506389647722244,
-0.03599672392010689,
0.07769981771707535,
0.04357399791479111,
-0.02151435613632202,
-0.08234863728284836,
0.024195311591029167,
0.0899166539311409,
0.00007673386426176876,
0.04675815999507904,
-0.08723146468400955,
0.006474644877016544,
0.004843790549784899,
0.005557530093938112,
0.000380902667529881,
0.08893048018217087,
0.006927946582436562,
-0.05042058229446411,
0.04619549587368965,
0.010914770886301994,
-0.04817767068743706,
-0.07301931083202362,
0.03402978554368019,
0.027678143233060837,
0.04515966773033142,
0.01607995480298996,
0.11184237897396088,
-0.04120944067835808,
0.015471747145056725,
0.016777871176600456,
-0.01597214862704277,
-0.010106644593179226,
0.08022481203079224,
0.02354310266673565,
-0.01002432219684124,
0.10824445635080338,
-0.0010905424132943153,
-0.08344858139753342,
-0.05627288669347763,
0.03316700458526611,
0.06690576672554016,
0.03516118600964546,
0.040734659880399704,
-0.014756279066205025,
-4.406621556540813e-8,
-0.04716236889362335,
-0.09104643017053604,
-0.00016740633873268962,
-0.09729950875043869,
-0.031595125794410706,
-0.02589433267712593,
-0.017830558121204376,
-0.05009474232792854,
-0.02119385451078415,
-0.07951055467128754,
0.04135473072528839,
-0.09645793586969376,
-0.047752875834703445,
0.020608944818377495,
0.044930800795555115,
0.02454875409603119,
-0.10980365425348282,
-0.08117169886827469,
0.042821694165468216,
0.11181163042783737,
-0.023321671411395073,
0.06185555085539818,
0.05134224146604538,
0.010885495692491531,
-0.04605747386813164,
0.05063563585281372,
0.0742783173918724,
0.0060097514651715755,
0.04282182455062866,
-0.0720379427075386,
-0.01752791926264763,
0.0788508877158165,
-0.02954196184873581,
0.06494064629077911,
-0.18957020342350006,
-0.06203053146600723,
0.011356977745890617,
-0.004393668845295906,
0.0023556638043373823,
0.030733095481991768,
-0.06248995289206505,
-0.0510113425552845,
-0.031557269394397736,
-0.03096705675125122,
0.027247650548815727,
0.029358407482504845,
0.07199573516845703,
-0.013026968576014042,
-0.05656154453754425,
-0.03989594802260399,
-0.0425025150179863,
0.0414680577814579,
0.006742566358298063,
-0.022600354626774788,
0.0047425776720047,
-0.0034326668828725815,
0.0622921921312809,
-0.05077880620956421,
0.06959331780672073,
-0.046646181493997574,
-0.06869608908891678,
0.03010469675064087,
-0.056964997202157974,
-0.017110127955675125
] |
1401.1393 | Hideki Tsuiki | Hideki Tsuiki (Graduate School of Human and Environmental Studies,
Kyoto University), Yasuyuki Tsukamoyo (Graduate School of Human and
Environmental Studies, Kyoto University) | Domain Representations Induced by Dyadic Subbases | null | Logical Methods in Computer Science, Volume 11, Issue 1 (March 31,
2015) lmcs:1175 | 10.2168/LMCS-11(1:17)2015 | null | math.GN cs.LO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study domain representations induced by dyadic subbases and show that a
proper dyadic subbase S of a second-countable regular space X induces an
embedding of X in the set of minimal limit elements of a subdomain D of
$\{0,1,\perp\}\omega$. In particular, if X is compact, then X is a retract of
the set of limit elements of D.
| [
{
"created": "Tue, 7 Jan 2014 14:13:26 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Apr 2014 13:46:53 GMT",
"version": "v2"
},
{
"created": "Mon, 19 May 2014 13:41:05 GMT",
"version": "v3"
},
{
"created": "Sun, 22 Jun 2014 07:51:11 GMT",
"version": "v4"
},
{
"created": "Mon, 30 Mar 2015 07:53:49 GMT",
"version": "v5"
}
] | 2016-08-08 | [
[
"Tsuiki",
"Hideki",
"",
"Graduate School of Human and Environmental Studies,\n Kyoto University"
],
[
"Tsukamoyo",
"Yasuyuki",
"",
"Graduate School of Human and\n Environmental Studies, Kyoto University"
]
] | [
-0.023780757561326027,
-0.07923346757888794,
0.029004046693444252,
-0.0684819221496582,
0.053904809057712555,
0.06391346454620361,
0.023384282365441322,
0.01889248937368393,
0.06610357761383057,
-0.1135190948843956,
-0.055725038051605225,
-0.007159351836889982,
0.09994500130414963,
0.016354162245988846,
-0.008539131842553616,
0.05521244928240776,
0.007478866260498762,
0.03297355771064758,
-0.027204325422644615,
0.06249573454260826,
0.021593401208519936,
0.025096112862229347,
0.061159588396549225,
-0.002620190382003784,
-0.06164075434207916,
0.030265185981988907,
-0.0371396504342556,
0.049191445112228394,
0.06053709238767624,
-0.0034286456648260355,
0.004611745476722717,
-0.056951820850372314,
0.03055356815457344,
0.061996884644031525,
0.05577719956636429,
0.06412187218666077,
-0.05536770448088646,
0.025307081639766693,
-0.09201023727655411,
0.020413266494870186,
0.011350874789059162,
0.08035729080438614,
0.016785379499197006,
0.035322096198797226,
-0.11194612830877304,
-0.026644030585885048,
-0.043457843363285065,
0.009690120816230774,
-0.11603216081857681,
-0.0333205871284008,
0.032530684024095535,
-0.02279830165207386,
0.017871050164103508,
0.0005342827644199133,
0.013519901782274246,
0.028453931212425232,
-0.040578410029411316,
0.00041756313294172287,
0.03671887144446373,
-0.07347489148378372,
-0.006939868442714214,
-0.01518875639885664,
0.009671833366155624,
-0.07155703753232956,
-0.009891591966152191,
-0.045698460191488266,
-0.04260646551847458,
0.10947060585021973,
-0.0008152957889251411,
0.017048854380846024,
0.029197216033935547,
0.03623908758163452,
-0.13046887516975403,
0.08491827547550201,
-0.029463063925504684,
-0.025294318795204163,
-0.019212720915675163,
-0.03784308210015297,
0.09147290140390396,
-0.09537289291620255,
-0.043962981551885605,
-0.04265217110514641,
-0.01853308267891407,
0.025447586551308632,
0.040505051612854004,
-0.0023447973653674126,
-0.011275174096226692,
-0.09899968653917313,
-0.06121494993567467,
-0.0418207012116909,
-0.02726137451827526,
-0.08818838745355606,
0.0772840678691864,
0.08347441256046295,
-0.0850156918168068,
0.006057471502572298,
0.004194081760942936,
0.037557512521743774,
-0.01698191463947296,
0.03608421981334686,
0.006044980604201555,
0.09524377435445786,
0.07346674799919128,
0.0010915066814050078,
0.0003115404397249222,
-0.010212267749011517,
-0.053570643067359924,
0.07888705283403397,
-0.03645649552345276,
-0.04986460879445076,
-0.04680829495191574,
-0.05732143670320511,
-0.004894098732620478,
-0.037465933710336685,
0.017924154177308083,
-0.0702914148569107,
0.09753326326608658,
-0.04649961739778519,
-0.02740897238254547,
-0.05366193503141403,
0.0016704004956409335,
-0.021214090287685394,
0.016058338806033134,
-0.020987188443541527,
0.07202384620904922,
-0.016879061236977577,
0.03634495288133621,
2.036558472808006e-33,
0.07055605947971344,
0.020182013511657715,
-0.08751339465379715,
-0.015165972523391247,
0.023543719202280045,
-0.00561312073841691,
-0.0001766822097124532,
0.13008053600788116,
-0.04010988399386406,
0.04306275397539139,
0.07181594520807266,
0.08784039318561554,
-0.011752435937523842,
0.028777558356523514,
0.06368633359670639,
-0.09479515254497528,
0.0912700742483139,
0.04577271640300751,
0.0026232379022985697,
-0.04756469279527664,
-0.05059162899851799,
0.1253221035003662,
-0.009531710296869278,
0.005618241149932146,
-0.015415945090353489,
-0.029217146337032318,
0.040417809039354324,
-0.006728124339133501,
-0.016619089990854263,
0.021603276953101158,
-0.09730968624353409,
-0.004429198335856199,
0.038609061390161514,
-0.023831931874155998,
0.03449680283665657,
0.10133511573076248,
0.013234319165349007,
-0.02112937532365322,
-0.03375435993075371,
-0.0824950784444809,
0.04947600141167641,
-0.011621513403952122,
-0.0288385096937418,
-0.008975531905889511,
-0.02263091690838337,
-0.018212994560599327,
0.0633193776011467,
0.045308224856853485,
-0.024544991552829742,
-0.028549280017614365,
0.10922805964946747,
0.008283087983727455,
-0.081009641289711,
0.0031817974522709846,
-0.013061239384114742,
-0.04518976807594299,
-0.03577215597033501,
0.04681876674294472,
0.02593441680073738,
0.1317986696958542,
-0.04357142746448517,
0.04892735183238983,
0.02795209176838398,
0.11806269735097885,
-0.0229305662214756,
-0.041782815009355545,
0.022367071360349655,
-0.08052724599838257,
0.048713237047195435,
-0.03487321734428406,
-0.031767338514328,
0.07416213303804398,
0.05330628156661987,
0.011685010977089405,
-0.05114150047302246,
0.00009211740689352155,
0.07680410146713257,
-0.11630331724882126,
0.015779368579387665,
0.007838576100766659,
-0.06562895327806473,
-0.05059700831770897,
0.00472996337339282,
0.032272178679704666,
-0.06602885574102402,
-0.04077502340078354,
0.07578841596841812,
0.000010231458873022348,
-0.037198927253484726,
-0.05342485383152962,
-0.043268267065286636,
-0.03003004938364029,
0.01625864952802658,
-0.06059318408370018,
0.0027531241066753864,
-2.2907954930298043e-33,
0.012957660481333733,
-0.030143937095999718,
-0.0449027344584465,
0.024373190477490425,
0.02904810942709446,
-0.0173324104398489,
0.10283351689577103,
0.03511345013976097,
-0.0404634065926075,
-0.008311377838253975,
-0.018748505041003227,
-0.029110848903656006,
0.0367758572101593,
0.0006307553849183023,
-0.05679500475525856,
-0.04423682391643524,
0.0030054631642997265,
-0.05495360866189003,
-0.02342154085636139,
0.02729105018079281,
0.0024068993516266346,
-0.016626529395580292,
0.023036489263176918,
0.12991411983966827,
0.07045916467905045,
0.10833041369915009,
-0.043868228793144226,
0.09017511457204819,
-0.033042822033166885,
-0.02761797048151493,
0.04966750741004944,
-0.015901977196335793,
-0.002778650028631091,
-0.000029838003683835268,
-0.021796924993395805,
-0.06848876923322678,
0.009929535910487175,
0.14040210843086243,
-0.010204366408288479,
-0.024678708985447884,
0.014826438389718533,
0.016742881387472153,
-0.10679380595684052,
0.06948860734701157,
0.022961627691984177,
-0.06543443351984024,
-0.013598096556961536,
-0.051793381571769714,
0.025692733004689217,
-0.08807727694511414,
-0.054554205387830734,
-0.025991177186369896,
0.05628136172890663,
0.03601760044693947,
0.010515447705984116,
0.01900620013475418,
-0.031528327614068985,
-0.01671731472015381,
0.07142999023199081,
-0.027173053473234177,
0.01924576237797737,
-0.05361619591712952,
-0.008014925755560398,
0.091854527592659,
0.08034717291593552,
-0.05476369708776474,
-0.04427303001284599,
-0.010733820497989655,
-0.05495798587799072,
-0.03740968555212021,
-0.022931694984436035,
0.02288210391998291,
-0.030846992507576942,
0.030252791941165924,
0.022070283070206642,
-0.035587675869464874,
0.052324146032333374,
0.020194007083773613,
0.006997229531407356,
0.010754132643342018,
-0.04312627390027046,
0.02502354420721531,
0.01357305608689785,
0.00013593277253676206,
0.014033155515789986,
-0.04445222392678261,
-0.0146302729845047,
0.011888670735061169,
-0.08038096874952316,
-0.056252941489219666,
0.015164357610046864,
-0.029265262186527252,
-0.025047708302736282,
0.017043108120560646,
0.03180879354476929,
-3.713440577257643e-8,
-0.054731644690036774,
-0.03565628081560135,
0.06595378369092941,
0.026673177257180214,
0.04737425222992897,
-0.09297993779182434,
-0.02555239386856556,
0.05381215736269951,
0.01586158573627472,
0.08556012064218521,
0.02585374377667904,
0.07367663085460663,
-0.06808847934007645,
-0.0004822930204682052,
0.0025209009181708097,
0.027857860550284386,
0.11535394936800003,
0.030704939737915993,
-0.02217913791537285,
0.03758583217859268,
-0.01527119055390358,
0.07694272696971893,
-0.005106370430439711,
-0.05673513561487198,
-0.10710805654525757,
-0.032412923872470856,
0.04373933747410774,
0.020157206803560257,
0.021272359415888786,
0.021982721984386444,
0.06041746214032173,
0.08585169166326523,
0.07365106791257858,
-0.0029002351220697165,
-0.004839240573346615,
0.04987270012497902,
-0.03991970792412758,
-0.008986122906208038,
-0.10152923315763474,
-0.028191333636641502,
-0.04937487468123436,
-0.02207138016819954,
-0.04850608855485916,
-0.0025393329560756683,
0.016357719898223877,
-0.08741004765033722,
-0.03306759521365166,
0.08328815549612045,
0.08386221528053284,
0.004915711469948292,
-0.045491814613342285,
0.002627661684527993,
-0.01901860535144806,
-0.0579267255961895,
-0.02290564961731434,
0.06283079832792282,
-0.03522187098860741,
-0.05958405137062073,
-0.11560285836458206,
-0.04895736649632454,
-0.0426565520465374,
-0.0021438682451844215,
0.0199123527854681,
0.021400975063443184
] | null | null | null | null | null | null | null | [
-0.023780757561326027,
-0.07923346757888794,
0.029004046693444252,
-0.0684819221496582,
0.053904809057712555,
0.06391346454620361,
0.023384282365441322,
0.01889248937368393,
0.06610357761383057,
-0.1135190948843956,
-0.055725038051605225,
-0.007159351836889982,
0.09994500130414963,
0.016354162245988846,
-0.008539131842553616,
0.05521244928240776,
0.007478866260498762,
0.03297355771064758,
-0.027204325422644615,
0.06249573454260826,
0.021593401208519936,
0.025096112862229347,
0.061159588396549225,
-0.002620190382003784,
-0.06164075434207916,
0.030265185981988907,
-0.0371396504342556,
0.049191445112228394,
0.06053709238767624,
-0.0034286456648260355,
0.004611745476722717,
-0.056951820850372314,
0.03055356815457344,
0.061996884644031525,
0.05577719956636429,
0.06412187218666077,
-0.05536770448088646,
0.025307081639766693,
-0.09201023727655411,
0.020413266494870186,
0.011350874789059162,
0.08035729080438614,
0.016785379499197006,
0.035322096198797226,
-0.11194612830877304,
-0.026644030585885048,
-0.043457843363285065,
0.009690120816230774,
-0.11603216081857681,
-0.0333205871284008,
0.032530684024095535,
-0.02279830165207386,
0.017871050164103508,
0.0005342827644199133,
0.013519901782274246,
0.028453931212425232,
-0.040578410029411316,
0.00041756313294172287,
0.03671887144446373,
-0.07347489148378372,
-0.006939868442714214,
-0.01518875639885664,
0.009671833366155624,
-0.07155703753232956,
-0.009891591966152191,
-0.045698460191488266,
-0.04260646551847458,
0.10947060585021973,
-0.0008152957889251411,
0.017048854380846024,
0.029197216033935547,
0.03623908758163452,
-0.13046887516975403,
0.08491827547550201,
-0.029463063925504684,
-0.025294318795204163,
-0.019212720915675163,
-0.03784308210015297,
0.09147290140390396,
-0.09537289291620255,
-0.043962981551885605,
-0.04265217110514641,
-0.01853308267891407,
0.025447586551308632,
0.040505051612854004,
-0.0023447973653674126,
-0.011275174096226692,
-0.09899968653917313,
-0.06121494993567467,
-0.0418207012116909,
-0.02726137451827526,
-0.08818838745355606,
0.0772840678691864,
0.08347441256046295,
-0.0850156918168068,
0.006057471502572298,
0.004194081760942936,
0.037557512521743774,
-0.01698191463947296,
0.03608421981334686,
0.006044980604201555,
0.09524377435445786,
0.07346674799919128,
0.0010915066814050078,
0.0003115404397249222,
-0.010212267749011517,
-0.053570643067359924,
0.07888705283403397,
-0.03645649552345276,
-0.04986460879445076,
-0.04680829495191574,
-0.05732143670320511,
-0.004894098732620478,
-0.037465933710336685,
0.017924154177308083,
-0.0702914148569107,
0.09753326326608658,
-0.04649961739778519,
-0.02740897238254547,
-0.05366193503141403,
0.0016704004956409335,
-0.021214090287685394,
0.016058338806033134,
-0.020987188443541527,
0.07202384620904922,
-0.016879061236977577,
0.03634495288133621,
2.036558472808006e-33,
0.07055605947971344,
0.020182013511657715,
-0.08751339465379715,
-0.015165972523391247,
0.023543719202280045,
-0.00561312073841691,
-0.0001766822097124532,
0.13008053600788116,
-0.04010988399386406,
0.04306275397539139,
0.07181594520807266,
0.08784039318561554,
-0.011752435937523842,
0.028777558356523514,
0.06368633359670639,
-0.09479515254497528,
0.0912700742483139,
0.04577271640300751,
0.0026232379022985697,
-0.04756469279527664,
-0.05059162899851799,
0.1253221035003662,
-0.009531710296869278,
0.005618241149932146,
-0.015415945090353489,
-0.029217146337032318,
0.040417809039354324,
-0.006728124339133501,
-0.016619089990854263,
0.021603276953101158,
-0.09730968624353409,
-0.004429198335856199,
0.038609061390161514,
-0.023831931874155998,
0.03449680283665657,
0.10133511573076248,
0.013234319165349007,
-0.02112937532365322,
-0.03375435993075371,
-0.0824950784444809,
0.04947600141167641,
-0.011621513403952122,
-0.0288385096937418,
-0.008975531905889511,
-0.02263091690838337,
-0.018212994560599327,
0.0633193776011467,
0.045308224856853485,
-0.024544991552829742,
-0.028549280017614365,
0.10922805964946747,
0.008283087983727455,
-0.081009641289711,
0.0031817974522709846,
-0.013061239384114742,
-0.04518976807594299,
-0.03577215597033501,
0.04681876674294472,
0.02593441680073738,
0.1317986696958542,
-0.04357142746448517,
0.04892735183238983,
0.02795209176838398,
0.11806269735097885,
-0.0229305662214756,
-0.041782815009355545,
0.022367071360349655,
-0.08052724599838257,
0.048713237047195435,
-0.03487321734428406,
-0.031767338514328,
0.07416213303804398,
0.05330628156661987,
0.011685010977089405,
-0.05114150047302246,
0.00009211740689352155,
0.07680410146713257,
-0.11630331724882126,
0.015779368579387665,
0.007838576100766659,
-0.06562895327806473,
-0.05059700831770897,
0.00472996337339282,
0.032272178679704666,
-0.06602885574102402,
-0.04077502340078354,
0.07578841596841812,
0.000010231458873022348,
-0.037198927253484726,
-0.05342485383152962,
-0.043268267065286636,
-0.03003004938364029,
0.01625864952802658,
-0.06059318408370018,
0.0027531241066753864,
-2.2907954930298043e-33,
0.012957660481333733,
-0.030143937095999718,
-0.0449027344584465,
0.024373190477490425,
0.02904810942709446,
-0.0173324104398489,
0.10283351689577103,
0.03511345013976097,
-0.0404634065926075,
-0.008311377838253975,
-0.018748505041003227,
-0.029110848903656006,
0.0367758572101593,
0.0006307553849183023,
-0.05679500475525856,
-0.04423682391643524,
0.0030054631642997265,
-0.05495360866189003,
-0.02342154085636139,
0.02729105018079281,
0.0024068993516266346,
-0.016626529395580292,
0.023036489263176918,
0.12991411983966827,
0.07045916467905045,
0.10833041369915009,
-0.043868228793144226,
0.09017511457204819,
-0.033042822033166885,
-0.02761797048151493,
0.04966750741004944,
-0.015901977196335793,
-0.002778650028631091,
-0.000029838003683835268,
-0.021796924993395805,
-0.06848876923322678,
0.009929535910487175,
0.14040210843086243,
-0.010204366408288479,
-0.024678708985447884,
0.014826438389718533,
0.016742881387472153,
-0.10679380595684052,
0.06948860734701157,
0.022961627691984177,
-0.06543443351984024,
-0.013598096556961536,
-0.051793381571769714,
0.025692733004689217,
-0.08807727694511414,
-0.054554205387830734,
-0.025991177186369896,
0.05628136172890663,
0.03601760044693947,
0.010515447705984116,
0.01900620013475418,
-0.031528327614068985,
-0.01671731472015381,
0.07142999023199081,
-0.027173053473234177,
0.01924576237797737,
-0.05361619591712952,
-0.008014925755560398,
0.091854527592659,
0.08034717291593552,
-0.05476369708776474,
-0.04427303001284599,
-0.010733820497989655,
-0.05495798587799072,
-0.03740968555212021,
-0.022931694984436035,
0.02288210391998291,
-0.030846992507576942,
0.030252791941165924,
0.022070283070206642,
-0.035587675869464874,
0.052324146032333374,
0.020194007083773613,
0.006997229531407356,
0.010754132643342018,
-0.04312627390027046,
0.02502354420721531,
0.01357305608689785,
0.00013593277253676206,
0.014033155515789986,
-0.04445222392678261,
-0.0146302729845047,
0.011888670735061169,
-0.08038096874952316,
-0.056252941489219666,
0.015164357610046864,
-0.029265262186527252,
-0.025047708302736282,
0.017043108120560646,
0.03180879354476929,
-3.713440577257643e-8,
-0.054731644690036774,
-0.03565628081560135,
0.06595378369092941,
0.026673177257180214,
0.04737425222992897,
-0.09297993779182434,
-0.02555239386856556,
0.05381215736269951,
0.01586158573627472,
0.08556012064218521,
0.02585374377667904,
0.07367663085460663,
-0.06808847934007645,
-0.0004822930204682052,
0.0025209009181708097,
0.027857860550284386,
0.11535394936800003,
0.030704939737915993,
-0.02217913791537285,
0.03758583217859268,
-0.01527119055390358,
0.07694272696971893,
-0.005106370430439711,
-0.05673513561487198,
-0.10710805654525757,
-0.032412923872470856,
0.04373933747410774,
0.020157206803560257,
0.021272359415888786,
0.021982721984386444,
0.06041746214032173,
0.08585169166326523,
0.07365106791257858,
-0.0029002351220697165,
-0.004839240573346615,
0.04987270012497902,
-0.03991970792412758,
-0.008986122906208038,
-0.10152923315763474,
-0.028191333636641502,
-0.04937487468123436,
-0.02207138016819954,
-0.04850608855485916,
-0.0025393329560756683,
0.016357719898223877,
-0.08741004765033722,
-0.03306759521365166,
0.08328815549612045,
0.08386221528053284,
0.004915711469948292,
-0.045491814613342285,
0.002627661684527993,
-0.01901860535144806,
-0.0579267255961895,
-0.02290564961731434,
0.06283079832792282,
-0.03522187098860741,
-0.05958405137062073,
-0.11560285836458206,
-0.04895736649632454,
-0.0426565520465374,
-0.0021438682451844215,
0.0199123527854681,
0.021400975063443184
] |
1401.1399 | Zdenek Dvorak | Zdenek Dvorak and Robin Thomas | List-coloring apex-minor-free graphs | 48 pages, 5 figures; expanded version taking into account referee
comments | null | null | null | cs.DM math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A graph H is t-apex if H-X is planar for some subset X of V(H) of size t. For
any integer t>=0 and a fixed t-apex graph H, we give a polynomial-time
algorithm to decide whether a (t+3)-connected H-minor-free graph is colorable
from a given assignment of lists of size t+4. The connectivity requirement is
the best possible in the sense that for every t>=1, there exists a t-apex graph
H such that testing (t+4)-colorability of (t+2)-connected H-minor-free graphs
is NP-complete. Similarly, the size of the lists cannot be decreased (unless
P=NP), since for every t>=1, testing (t+3)-list-colorability of (t+3)-connected
K_{t+4}-minor-free graphs is NP-complete.
| [
{
"created": "Tue, 7 Jan 2014 14:33:51 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Dec 2016 19:26:53 GMT",
"version": "v2"
}
] | 2016-12-28 | [
[
"Dvorak",
"Zdenek",
""
],
[
"Thomas",
"Robin",
""
]
] | [
0.045735523104667664,
0.09341105818748474,
-0.01422614324837923,
-0.023449989035725594,
0.07780452072620392,
0.012036132626235485,
-0.006661478895694017,
-0.045822594314813614,
-0.022918904200196266,
0.10157427191734314,
-0.06952517479658127,
0.03500467166304588,
0.006383492145687342,
0.04868488758802414,
-0.01199546828866005,
0.06317214667797089,
0.024810247123241425,
0.0011310894042253494,
0.02497255988419056,
-0.09342679381370544,
-0.008877637796103954,
-0.1005052998661995,
-0.03755686432123184,
-0.026457155123353004,
-0.015316061675548553,
-0.03368320316076279,
-0.008778740651905537,
-0.06120932102203369,
0.04875192791223526,
-0.020302152261137962,
-0.05932415649294853,
0.010240496136248112,
0.06060554087162018,
-0.023053541779518127,
0.04383251816034317,
-0.04687396436929703,
-0.026002341881394386,
0.01645386777818203,
-0.024434855207800865,
0.09883679449558258,
0.02564867213368416,
-0.004007352981716394,
-0.034650832414627075,
-0.03761567920446396,
-0.002792233368381858,
0.050812728703022,
-0.01364083494991064,
0.0172641109675169,
-0.14935684204101562,
-0.08901827782392502,
0.025978773832321167,
-0.01985098421573639,
-0.1361285150051117,
0.004744849167764187,
-0.009861823171377182,
-0.049196597188711166,
-0.037125445902347565,
-0.05521799623966217,
0.01409862469881773,
0.04464906454086304,
0.03599602356553078,
-0.05742064490914345,
-0.001199206686578691,
-0.02808573469519615,
0.05220721662044525,
0.062091100960969925,
0.07532425969839096,
-0.010099824517965317,
-0.036967016756534576,
0.05799267441034317,
0.0681382492184639,
0.03889854997396469,
-0.040670931339263916,
0.021520979702472687,
0.03457607701420784,
0.084569551050663,
0.154504656791687,
0.02752537652850151,
-0.054113779217004776,
-0.07008428126573563,
-0.01944335363805294,
0.006657501682639122,
-0.03551878035068512,
0.019307110458612442,
0.012867463752627373,
0.016622211784124374,
-0.06186073645949364,
-0.005697137210518122,
-0.003968437667936087,
0.03912663087248802,
-0.07584067434072495,
0.05538710206747055,
-0.11598899215459824,
-0.02728431113064289,
-0.02176353894174099,
-0.054508887231349945,
0.05038869008421898,
-0.0563042052090168,
0.022388096898794174,
0.03526849299669266,
-0.005339449271559715,
-0.030019167810678482,
0.07782825827598572,
-0.0020599686540663242,
0.012777470052242279,
0.08587561547756195,
-0.003924271557480097,
0.03177856653928757,
-0.018535191193223,
-0.005046491976827383,
0.007186184637248516,
0.014930851757526398,
0.06540291011333466,
0.040907446295022964,
0.019207509234547615,
-0.008909275755286217,
-0.03203509747982025,
-0.0427703820168972,
0.015250864438712597,
0.04911371320486069,
0.06760544329881668,
0.033089932054281235,
0.053995970636606216,
-0.06586062163114548,
0.01350286602973938,
-0.01605350151658058,
0.04811061918735504,
3.717668025078492e-33,
0.06844880431890488,
0.046629976481199265,
0.00008431540481979027,
-0.037283819168806076,
0.10730721801519394,
0.03717034310102463,
-0.019033892080187798,
-0.06291252374649048,
-0.06890810281038284,
0.01518214587122202,
-0.023124096915125847,
0.009402772411704063,
0.00258365529589355,
0.04156506806612015,
0.09675181657075882,
0.038888927549123764,
0.10985171049833298,
-0.008598235435783863,
-0.0766373723745346,
-0.07675967365503311,
-0.0013903670478612185,
0.011386080645024776,
-0.015968795865774155,
0.0020913018379360437,
0.059650108218193054,
-0.07196401804685593,
-0.009052461013197899,
-0.017163287848234177,
0.028199950233101845,
-0.01811436004936695,
-0.13106346130371094,
0.05047192424535751,
-0.004814436659216881,
0.11902879178524017,
-0.03372934088110924,
-0.0394810289144516,
-0.041765112429857254,
-0.036649178713560104,
-0.046388525515794754,
-0.029790958389639854,
-0.02797522395849228,
0.029675547033548355,
0.006825057324022055,
0.01822320558130741,
-0.01081085205078125,
-0.00741780549287796,
0.026652581989765167,
-0.04687922075390816,
-0.07775745540857315,
0.005047578364610672,
-0.0527765154838562,
0.01164077129215002,
-0.04123055934906006,
-0.018371833488345146,
-0.013071360997855663,
0.02235802635550499,
0.03344275429844856,
0.07154955714941025,
0.07438606768846512,
0.07111305743455887,
0.009828394278883934,
-0.0004129336739424616,
-0.029491303488612175,
0.001491901115514338,
0.004480272531509399,
0.06419306248426437,
-0.0589924119412899,
-0.07218319922685623,
0.11936547607183456,
-0.05272601544857025,
-0.041821666061878204,
0.07517512142658234,
0.02365564927458763,
-0.07775689661502838,
-0.026021204888820648,
-0.08959423005580902,
0.04371192306280136,
-0.08008928596973419,
-0.022570574656128883,
-0.025031790137290955,
-0.004943260923027992,
-0.08730392158031464,
0.02970718778669834,
-0.04296494275331497,
-0.05931490287184715,
-0.1219903752207756,
0.05589914694428444,
0.012962326407432556,
-0.020012641325592995,
-0.06847024708986282,
-0.03993904963135719,
0.029167870059609413,
0.05508403107523918,
-0.019111141562461853,
0.04305838420987129,
-4.285854974491953e-33,
0.0031074024736881256,
0.020041607320308685,
0.05102040246129036,
0.08297193795442581,
0.018717270344495773,
-0.03042825683951378,
0.00594695657491684,
0.0030115866102278233,
-0.03531573712825775,
-0.017007432878017426,
0.01388123631477356,
0.03419948369264603,
-0.023326722905039787,
-0.03008711338043213,
0.02639900892972946,
-0.03957142308354378,
-0.09715569019317627,
0.04764638468623161,
-0.05402195826172829,
0.039415501058101654,
0.013137295842170715,
0.08508555591106415,
-0.010422528721392155,
-0.021143333986401558,
0.030916852876544,
0.021966885775327682,
-0.05588802322745323,
-0.016404643654823303,
-0.05210193991661072,
0.04179089888930321,
-0.02339155413210392,
-0.02963462471961975,
-0.06723714619874954,
-0.00034512716229073703,
0.06889531016349792,
0.01908358372747898,
0.04344074800610542,
0.03415566682815552,
-0.04422437772154808,
0.11117337644100189,
0.056463249027729034,
-0.03348306566476822,
-0.005976823624223471,
-0.01868392527103424,
0.0031726043671369553,
0.06055091321468353,
-0.06807354092597961,
0.01954050175845623,
-0.03295563906431198,
-0.02577107772231102,
-0.004735930357128382,
0.03805138170719147,
0.034205272793769836,
0.025135869160294533,
0.06610393524169922,
0.010867790319025517,
-0.05051739513874054,
0.06671763956546783,
-0.000047553028707625344,
0.040223635733127594,
-0.03673197329044342,
-0.0831318125128746,
-0.011824684217572212,
0.02950570173561573,
0.062157247215509415,
-0.0687660500407219,
-0.025753693655133247,
-0.0985497459769249,
0.007336907088756561,
0.08099202066659927,
0.036405619233846664,
0.07255150377750397,
-0.04319994896650314,
-0.05989637225866318,
0.04447821527719498,
-0.05203446000814438,
-0.039328187704086304,
0.07224985957145691,
-0.014754930511116982,
0.014874585904181004,
-0.013381906785070896,
0.045252226293087006,
0.04079299792647362,
-0.026789207011461258,
-0.0038123547565191984,
-0.06071852892637253,
0.031557731330394745,
-0.006715450435876846,
0.04319022223353386,
0.01403631828725338,
0.06749942898750305,
0.003496333258226514,
0.03166714683175087,
0.028690155595541,
-0.05277576297521591,
-4.429758604374001e-8,
-0.023712070658802986,
-0.09668650478124619,
-0.054480720311403275,
0.011382137425243855,
0.10033590346574783,
-0.05333147943019867,
0.07641741633415222,
0.026528596878051758,
0.029375609010457993,
0.16179664433002472,
0.06599387526512146,
0.0168522447347641,
-0.022760193794965744,
0.03502121940255165,
-0.0098497299477458,
-0.030097264796495438,
-0.024051642045378685,
-0.07167665660381317,
-0.006058447994291782,
0.03830336034297943,
-0.0933065116405487,
0.012975352816283703,
-0.056538667529821396,
0.09798763692378998,
-0.01020953431725502,
-0.05980641022324562,
0.018100876361131668,
-0.015806147828698158,
-0.019080158323049545,
0.0691419243812561,
0.0105846356600523,
0.03607980161905289,
0.08519523590803146,
0.04714197665452957,
0.04033372551202774,
0.0497446246445179,
-0.11134777963161469,
0.13418400287628174,
-0.0984727293252945,
-0.007246947847306728,
-0.05022002384066582,
0.04982973262667656,
-0.05270662531256676,
-0.020597008988261223,
0.08410941064357758,
-0.0641157403588295,
-0.0368138924241066,
-0.010658367536962032,
-0.12580089271068573,
-0.027655286714434624,
-0.07759308069944382,
0.03501173108816147,
-0.03872157633304596,
-0.092189721763134,
-0.031229186803102493,
0.007829629816114902,
0.035679854452610016,
-0.00003010561704286374,
0.03907068446278572,
-0.037962451577186584,
0.019455907866358757,
-0.013260584324598312,
0.06354960799217224,
-0.05177600309252739
] | null | null | null | null | null | null | null | [
0.045735523104667664,
0.09341105818748474,
-0.01422614324837923,
-0.023449989035725594,
0.07780452072620392,
0.012036132626235485,
-0.006661478895694017,
-0.045822594314813614,
-0.022918904200196266,
0.10157427191734314,
-0.06952517479658127,
0.03500467166304588,
0.006383492145687342,
0.04868488758802414,
-0.01199546828866005,
0.06317214667797089,
0.024810247123241425,
0.0011310894042253494,
0.02497255988419056,
-0.09342679381370544,
-0.008877637796103954,
-0.1005052998661995,
-0.03755686432123184,
-0.026457155123353004,
-0.015316061675548553,
-0.03368320316076279,
-0.008778740651905537,
-0.06120932102203369,
0.04875192791223526,
-0.020302152261137962,
-0.05932415649294853,
0.010240496136248112,
0.06060554087162018,
-0.023053541779518127,
0.04383251816034317,
-0.04687396436929703,
-0.026002341881394386,
0.01645386777818203,
-0.024434855207800865,
0.09883679449558258,
0.02564867213368416,
-0.004007352981716394,
-0.034650832414627075,
-0.03761567920446396,
-0.002792233368381858,
0.050812728703022,
-0.01364083494991064,
0.0172641109675169,
-0.14935684204101562,
-0.08901827782392502,
0.025978773832321167,
-0.01985098421573639,
-0.1361285150051117,
0.004744849167764187,
-0.009861823171377182,
-0.049196597188711166,
-0.037125445902347565,
-0.05521799623966217,
0.01409862469881773,
0.04464906454086304,
0.03599602356553078,
-0.05742064490914345,
-0.001199206686578691,
-0.02808573469519615,
0.05220721662044525,
0.062091100960969925,
0.07532425969839096,
-0.010099824517965317,
-0.036967016756534576,
0.05799267441034317,
0.0681382492184639,
0.03889854997396469,
-0.040670931339263916,
0.021520979702472687,
0.03457607701420784,
0.084569551050663,
0.154504656791687,
0.02752537652850151,
-0.054113779217004776,
-0.07008428126573563,
-0.01944335363805294,
0.006657501682639122,
-0.03551878035068512,
0.019307110458612442,
0.012867463752627373,
0.016622211784124374,
-0.06186073645949364,
-0.005697137210518122,
-0.003968437667936087,
0.03912663087248802,
-0.07584067434072495,
0.05538710206747055,
-0.11598899215459824,
-0.02728431113064289,
-0.02176353894174099,
-0.054508887231349945,
0.05038869008421898,
-0.0563042052090168,
0.022388096898794174,
0.03526849299669266,
-0.005339449271559715,
-0.030019167810678482,
0.07782825827598572,
-0.0020599686540663242,
0.012777470052242279,
0.08587561547756195,
-0.003924271557480097,
0.03177856653928757,
-0.018535191193223,
-0.005046491976827383,
0.007186184637248516,
0.014930851757526398,
0.06540291011333466,
0.040907446295022964,
0.019207509234547615,
-0.008909275755286217,
-0.03203509747982025,
-0.0427703820168972,
0.015250864438712597,
0.04911371320486069,
0.06760544329881668,
0.033089932054281235,
0.053995970636606216,
-0.06586062163114548,
0.01350286602973938,
-0.01605350151658058,
0.04811061918735504,
3.717668025078492e-33,
0.06844880431890488,
0.046629976481199265,
0.00008431540481979027,
-0.037283819168806076,
0.10730721801519394,
0.03717034310102463,
-0.019033892080187798,
-0.06291252374649048,
-0.06890810281038284,
0.01518214587122202,
-0.023124096915125847,
0.009402772411704063,
0.00258365529589355,
0.04156506806612015,
0.09675181657075882,
0.038888927549123764,
0.10985171049833298,
-0.008598235435783863,
-0.0766373723745346,
-0.07675967365503311,
-0.0013903670478612185,
0.011386080645024776,
-0.015968795865774155,
0.0020913018379360437,
0.059650108218193054,
-0.07196401804685593,
-0.009052461013197899,
-0.017163287848234177,
0.028199950233101845,
-0.01811436004936695,
-0.13106346130371094,
0.05047192424535751,
-0.004814436659216881,
0.11902879178524017,
-0.03372934088110924,
-0.0394810289144516,
-0.041765112429857254,
-0.036649178713560104,
-0.046388525515794754,
-0.029790958389639854,
-0.02797522395849228,
0.029675547033548355,
0.006825057324022055,
0.01822320558130741,
-0.01081085205078125,
-0.00741780549287796,
0.026652581989765167,
-0.04687922075390816,
-0.07775745540857315,
0.005047578364610672,
-0.0527765154838562,
0.01164077129215002,
-0.04123055934906006,
-0.018371833488345146,
-0.013071360997855663,
0.02235802635550499,
0.03344275429844856,
0.07154955714941025,
0.07438606768846512,
0.07111305743455887,
0.009828394278883934,
-0.0004129336739424616,
-0.029491303488612175,
0.001491901115514338,
0.004480272531509399,
0.06419306248426437,
-0.0589924119412899,
-0.07218319922685623,
0.11936547607183456,
-0.05272601544857025,
-0.041821666061878204,
0.07517512142658234,
0.02365564927458763,
-0.07775689661502838,
-0.026021204888820648,
-0.08959423005580902,
0.04371192306280136,
-0.08008928596973419,
-0.022570574656128883,
-0.025031790137290955,
-0.004943260923027992,
-0.08730392158031464,
0.02970718778669834,
-0.04296494275331497,
-0.05931490287184715,
-0.1219903752207756,
0.05589914694428444,
0.012962326407432556,
-0.020012641325592995,
-0.06847024708986282,
-0.03993904963135719,
0.029167870059609413,
0.05508403107523918,
-0.019111141562461853,
0.04305838420987129,
-4.285854974491953e-33,
0.0031074024736881256,
0.020041607320308685,
0.05102040246129036,
0.08297193795442581,
0.018717270344495773,
-0.03042825683951378,
0.00594695657491684,
0.0030115866102278233,
-0.03531573712825775,
-0.017007432878017426,
0.01388123631477356,
0.03419948369264603,
-0.023326722905039787,
-0.03008711338043213,
0.02639900892972946,
-0.03957142308354378,
-0.09715569019317627,
0.04764638468623161,
-0.05402195826172829,
0.039415501058101654,
0.013137295842170715,
0.08508555591106415,
-0.010422528721392155,
-0.021143333986401558,
0.030916852876544,
0.021966885775327682,
-0.05588802322745323,
-0.016404643654823303,
-0.05210193991661072,
0.04179089888930321,
-0.02339155413210392,
-0.02963462471961975,
-0.06723714619874954,
-0.00034512716229073703,
0.06889531016349792,
0.01908358372747898,
0.04344074800610542,
0.03415566682815552,
-0.04422437772154808,
0.11117337644100189,
0.056463249027729034,
-0.03348306566476822,
-0.005976823624223471,
-0.01868392527103424,
0.0031726043671369553,
0.06055091321468353,
-0.06807354092597961,
0.01954050175845623,
-0.03295563906431198,
-0.02577107772231102,
-0.004735930357128382,
0.03805138170719147,
0.034205272793769836,
0.025135869160294533,
0.06610393524169922,
0.010867790319025517,
-0.05051739513874054,
0.06671763956546783,
-0.000047553028707625344,
0.040223635733127594,
-0.03673197329044342,
-0.0831318125128746,
-0.011824684217572212,
0.02950570173561573,
0.062157247215509415,
-0.0687660500407219,
-0.025753693655133247,
-0.0985497459769249,
0.007336907088756561,
0.08099202066659927,
0.036405619233846664,
0.07255150377750397,
-0.04319994896650314,
-0.05989637225866318,
0.04447821527719498,
-0.05203446000814438,
-0.039328187704086304,
0.07224985957145691,
-0.014754930511116982,
0.014874585904181004,
-0.013381906785070896,
0.045252226293087006,
0.04079299792647362,
-0.026789207011461258,
-0.0038123547565191984,
-0.06071852892637253,
0.031557731330394745,
-0.006715450435876846,
0.04319022223353386,
0.01403631828725338,
0.06749942898750305,
0.003496333258226514,
0.03166714683175087,
0.028690155595541,
-0.05277576297521591,
-4.429758604374001e-8,
-0.023712070658802986,
-0.09668650478124619,
-0.054480720311403275,
0.011382137425243855,
0.10033590346574783,
-0.05333147943019867,
0.07641741633415222,
0.026528596878051758,
0.029375609010457993,
0.16179664433002472,
0.06599387526512146,
0.0168522447347641,
-0.022760193794965744,
0.03502121940255165,
-0.0098497299477458,
-0.030097264796495438,
-0.024051642045378685,
-0.07167665660381317,
-0.006058447994291782,
0.03830336034297943,
-0.0933065116405487,
0.012975352816283703,
-0.056538667529821396,
0.09798763692378998,
-0.01020953431725502,
-0.05980641022324562,
0.018100876361131668,
-0.015806147828698158,
-0.019080158323049545,
0.0691419243812561,
0.0105846356600523,
0.03607980161905289,
0.08519523590803146,
0.04714197665452957,
0.04033372551202774,
0.0497446246445179,
-0.11134777963161469,
0.13418400287628174,
-0.0984727293252945,
-0.007246947847306728,
-0.05022002384066582,
0.04982973262667656,
-0.05270662531256676,
-0.020597008988261223,
0.08410941064357758,
-0.0641157403588295,
-0.0368138924241066,
-0.010658367536962032,
-0.12580089271068573,
-0.027655286714434624,
-0.07759308069944382,
0.03501173108816147,
-0.03872157633304596,
-0.092189721763134,
-0.031229186803102493,
0.007829629816114902,
0.035679854452610016,
-0.00003010561704286374,
0.03907068446278572,
-0.037962451577186584,
0.019455907866358757,
-0.013260584324598312,
0.06354960799217224,
-0.05177600309252739
] |
1401.1404 | Jer-Shing Huang | Daniel Lin and Jer-Shing Huang | Slant-gap plasmonic nanoantenna for optical chirality enhancement | 10 pages, 5 figures and Supporting Information | Optics Express, 22, 7434-7445 (2014) | 10.1364/OE.22.007434 | null | cond-mat.mes-hall physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new design of plasmonic nanoantenna with a slant gap for optical
chirality engineering. At resonance, the slant gap provides highly enhanced
electric field parallel to external magnetic field with a phase delay of 90
degree, resulting in enhanced optical chirality. We show by numerical
simulations that upon linearly polarized excitation our achiral nanoantenna can
generate near field with enhanced optical chirality that can be tuned by the
slant angle and resonance condition. Our design can be easily realized and may
find applications in circular dichroism enhancement.
| [
{
"created": "Tue, 7 Jan 2014 14:49:54 GMT",
"version": "v1"
}
] | 2014-03-26 | [
[
"Lin",
"Daniel",
""
],
[
"Huang",
"Jer-Shing",
""
]
] | [
0.03949231654405594,
-0.042504820972681046,
-0.07256104052066803,
-0.10195948928594589,
0.015139585360884666,
-0.04026022553443909,
-0.05897315591573715,
-0.00040109542896971107,
-0.05115880072116852,
0.08097083121538162,
0.09958761930465698,
0.06447744369506836,
-0.05449942499399185,
-0.0141519820317626,
0.15319737792015076,
0.13074620068073273,
-0.03458143770694733,
-0.05895913019776344,
0.02833065763115883,
0.03857416287064552,
0.03309846296906471,
-0.06579753756523132,
-0.01276203989982605,
-0.0380941666662693,
-0.11601617932319641,
0.021837305277585983,
0.046981021761894226,
0.009111193008720875,
-0.043514322489500046,
-0.031031694263219833,
-0.021320044994354248,
0.05577920004725456,
-0.10750686377286911,
0.008262056857347488,
-0.09531821310520172,
-0.010472170077264309,
0.0638432502746582,
0.140534445643425,
0.025336546823382378,
0.010009595192968845,
-0.0053515126928687096,
0.026522548869252205,
-0.0006414727540686727,
-0.019901858642697334,
-0.06429223716259003,
-0.05610642954707146,
0.023732822388410568,
0.040411774069070816,
0.028594503179192543,
-0.011807401664555073,
0.008051239885389805,
-0.008841251954436302,
-0.008681923151016235,
0.022708600386977196,
0.08489995449781418,
0.10441746562719345,
0.04399826005101204,
-0.09141214936971664,
-0.04478209465742111,
0.0023610421922057867,
0.032291702926158905,
-0.036925818771123886,
-0.018602335825562477,
-0.07145681977272034,
0.024231325834989548,
-0.03116978518664837,
-0.03530476242303848,
-0.07229029387235641,
-0.05866747722029686,
-0.007516059558838606,
0.08207937330007553,
-0.06260670721530914,
-0.06096183508634567,
0.001050634658895433,
0.05170537903904915,
0.06391742825508118,
0.056755319237709045,
0.07151038199663162,
0.0677502304315567,
0.007260253187268972,
-0.028820255771279335,
0.0060744998045265675,
-0.03387686237692833,
0.1011434942483902,
-0.0094294473528862,
0.0001759968145051971,
0.0017266167560592294,
-0.029200907796621323,
-0.07089897990226746,
-0.009834271855652332,
0.010886977426707745,
-0.03378438577055931,
-0.11054317653179169,
-0.10015824437141418,
0.015935486182570457,
0.0005056263762526214,
-0.023178406059741974,
-0.09079939126968384,
-0.04954330995678902,
0.02273360826075077,
0.05736019089818001,
-0.02363882027566433,
-0.042645301669836044,
-0.03373856469988823,
-0.06250707805156708,
0.033437564969062805,
0.11686760187149048,
0.07126444578170776,
-0.03755263611674309,
0.0028502619825303555,
0.034292072057724,
0.04498615115880966,
-0.012604620307683945,
-0.05289287120103836,
-0.09281798452138901,
0.09949973970651627,
-0.0018555083079263568,
0.08759218454360962,
0.04548013210296631,
0.02540339156985283,
0.036465734243392944,
0.08375899493694305,
-0.06519832462072372,
0.0819065272808075,
-0.00818636640906334,
-0.030438918620347977,
-0.04334922507405281,
1.4961577302895878e-33,
-0.03416008502244949,
0.07142835110425949,
0.05037610977888107,
-0.06421458721160889,
0.03955192118883133,
-0.09323451668024063,
0.0728987455368042,
0.082788847386837,
0.012069669552147388,
0.010351930744946003,
0.027212312445044518,
0.07427452504634857,
-0.027093607932329178,
-0.02333306521177292,
-0.013827139511704445,
-0.09181774407625198,
0.08247759193181992,
-0.014097312465310097,
-0.05361117050051689,
-0.007264315150678158,
0.03340540826320648,
-0.04095713794231415,
0.050773050636053085,
0.05570528283715248,
-0.008228356949985027,
-0.01830139011144638,
0.03320673853158951,
0.029723310843110085,
0.07409076392650604,
-0.007436869665980339,
0.03114551305770874,
0.07715318351984024,
0.06706152856349945,
-0.0017455379711464047,
0.05937689542770386,
-0.019321223720908165,
0.018718592822551727,
-0.04018724709749222,
0.10887499153614044,
0.020220981910824776,
0.029919134452939034,
0.011285427957773209,
-0.007354851812124252,
0.05082850530743599,
0.014887746423482895,
-0.018816163763403893,
0.007918487302958965,
-0.035507556051015854,
-0.01092371717095375,
-0.014459870755672455,
-0.01959712989628315,
-0.0010247528553009033,
0.03812236338853836,
0.03560551255941391,
0.03136036545038223,
-0.02023574896156788,
-0.018831677734851837,
-0.021680081263184547,
-0.007651435676962137,
-0.14005887508392334,
-0.014233479276299477,
-0.027531662955880165,
0.07419700920581818,
-0.07115625590085983,
-0.014585853554308414,
-0.012777889147400856,
0.001020833500660956,
-0.01781439036130905,
0.005473771132528782,
0.0034268894232809544,
0.04346385970711708,
0.06646791100502014,
-0.034031063318252563,
-0.02777176909148693,
-0.012570776976644993,
0.00910252146422863,
0.04820212349295616,
-0.023523928597569466,
0.1057223230600357,
-0.04236845299601555,
-0.06196780130267143,
0.01983492448925972,
-0.02451920136809349,
-0.03825756534934044,
-0.057792436331510544,
0.027003111317753792,
-0.009748403914272785,
-0.03624643012881279,
-0.0050141471438109875,
-0.033662036061286926,
-0.0418727770447731,
0.011221767403185368,
0.03942755609750748,
-0.016339091584086418,
-0.059979397803545,
-3.18233026529876e-33,
-0.030309682711958885,
-0.09279168397188187,
0.03737158328294754,
0.004895349498838186,
0.1185089647769928,
-0.0018050710204988718,
-0.017965801060199738,
0.09074429422616959,
-0.04859301820397377,
0.061472732573747635,
-0.028212707489728928,
0.02526293322443962,
0.009955924935638905,
-0.07392667233943939,
-0.06846905499696732,
0.0762111023068428,
0.04918789863586426,
0.01243580598384142,
0.06676234304904938,
0.008259948343038559,
-0.028315367177128792,
0.08584734797477722,
0.0821533352136612,
0.0645735114812851,
0.025424808263778687,
0.015116552822291851,
-0.008100622333586216,
-0.014359765686094761,
0.018630944192409515,
-0.014041957445442677,
-0.015949297696352005,
0.010140232741832733,
0.031457047909498215,
-0.016934340819716454,
-0.0337737575173378,
0.03695789724588394,
-0.023607611656188965,
-0.025091998279094696,
0.0201276782900095,
0.030336648225784302,
-0.03341986984014511,
-0.016649805009365082,
0.015525255352258682,
-0.03415485471487045,
-0.03829888999462128,
0.0000841869114083238,
-0.045335885137319565,
0.04848602041602135,
-0.03694230690598488,
-0.06110835820436478,
0.020647414028644562,
-0.016641441732645035,
0.014775021933019161,
-0.028444528579711914,
-0.07084066420793533,
-0.015453584492206573,
-0.001611795392818749,
0.00536151509732008,
0.0854935422539711,
0.05791088938713074,
-0.06475872546434402,
0.020156018435955048,
-0.0036480803973972797,
-0.05621466040611267,
-0.01233797986060381,
0.06980182975530624,
0.048240236937999725,
0.003991417121142149,
0.03254128620028496,
0.01499879453331232,
-0.03925230726599693,
0.09972387552261353,
-0.05605468526482582,
0.08777333796024323,
0.07242690771818161,
0.06392952054738998,
0.062301475554704666,
-0.04005540534853935,
-0.014850570820271969,
0.03982449695467949,
0.014422311447560787,
0.03453681617975235,
-0.09136570245027542,
-0.029982903972268105,
-0.01185605488717556,
-0.020383404567837715,
0.004604029469192028,
0.061929091811180115,
-0.0914740040898323,
0.050566818565130234,
0.006814202759414911,
0.013556406833231449,
0.048243384808301926,
-0.01097673736512661,
0.10121471434831619,
-3.699561190728673e-8,
0.0838804841041565,
-0.043178483843803406,
0.03224733844399452,
-0.028100816532969475,
-0.023418642580509186,
-0.07818204164505005,
0.017519839107990265,
-0.11597036570310593,
0.04552609845995903,
-0.1388109028339386,
-0.01465784665197134,
-0.033444784581661224,
0.04229354113340378,
0.04694787785410881,
0.02326764166355133,
0.030303606763482094,
0.02390756830573082,
-0.011139634065330029,
-0.0036089946515858173,
0.0072394260205328465,
-0.051344677805900574,
0.06768811494112015,
-0.015694648027420044,
-0.06649023294448853,
-0.043060049414634705,
-0.020241273567080498,
-0.03815484046936035,
-0.06756865233182907,
-0.10844429582357407,
0.046744462102651596,
-0.04180929809808731,
0.01443551667034626,
-0.035592153668403625,
-0.009051249362528324,
-0.01756804995238781,
0.004318736493587494,
-0.05582105368375778,
-0.07138851284980774,
-0.07994244247674942,
-0.08641250431537628,
0.048596277832984924,
0.09551176428794861,
-0.04651838168501854,
-0.0032977829687297344,
-0.04147044196724892,
-0.08101598918437958,
-0.007774606812745333,
0.07503383606672287,
-0.005667578894644976,
0.024419384077191353,
-0.030510133132338524,
0.018640030175447464,
-0.01034466177225113,
-0.07680482417345047,
-0.07729167491197586,
-0.027563616633415222,
-0.04763990640640259,
-0.02652899920940399,
-0.04502738639712334,
-0.04131629317998886,
0.01958300918340683,
-0.07097497582435608,
0.015923893079161644,
0.0032069107983261347
] | null | null | null | null | null | null | null | [
0.03949231654405594,
-0.042504820972681046,
-0.07256104052066803,
-0.10195948928594589,
0.015139585360884666,
-0.04026022553443909,
-0.05897315591573715,
-0.00040109542896971107,
-0.05115880072116852,
0.08097083121538162,
0.09958761930465698,
0.06447744369506836,
-0.05449942499399185,
-0.0141519820317626,
0.15319737792015076,
0.13074620068073273,
-0.03458143770694733,
-0.05895913019776344,
0.02833065763115883,
0.03857416287064552,
0.03309846296906471,
-0.06579753756523132,
-0.01276203989982605,
-0.0380941666662693,
-0.11601617932319641,
0.021837305277585983,
0.046981021761894226,
0.009111193008720875,
-0.043514322489500046,
-0.031031694263219833,
-0.021320044994354248,
0.05577920004725456,
-0.10750686377286911,
0.008262056857347488,
-0.09531821310520172,
-0.010472170077264309,
0.0638432502746582,
0.140534445643425,
0.025336546823382378,
0.010009595192968845,
-0.0053515126928687096,
0.026522548869252205,
-0.0006414727540686727,
-0.019901858642697334,
-0.06429223716259003,
-0.05610642954707146,
0.023732822388410568,
0.040411774069070816,
0.028594503179192543,
-0.011807401664555073,
0.008051239885389805,
-0.008841251954436302,
-0.008681923151016235,
0.022708600386977196,
0.08489995449781418,
0.10441746562719345,
0.04399826005101204,
-0.09141214936971664,
-0.04478209465742111,
0.0023610421922057867,
0.032291702926158905,
-0.036925818771123886,
-0.018602335825562477,
-0.07145681977272034,
0.024231325834989548,
-0.03116978518664837,
-0.03530476242303848,
-0.07229029387235641,
-0.05866747722029686,
-0.007516059558838606,
0.08207937330007553,
-0.06260670721530914,
-0.06096183508634567,
0.001050634658895433,
0.05170537903904915,
0.06391742825508118,
0.056755319237709045,
0.07151038199663162,
0.0677502304315567,
0.007260253187268972,
-0.028820255771279335,
0.0060744998045265675,
-0.03387686237692833,
0.1011434942483902,
-0.0094294473528862,
0.0001759968145051971,
0.0017266167560592294,
-0.029200907796621323,
-0.07089897990226746,
-0.009834271855652332,
0.010886977426707745,
-0.03378438577055931,
-0.11054317653179169,
-0.10015824437141418,
0.015935486182570457,
0.0005056263762526214,
-0.023178406059741974,
-0.09079939126968384,
-0.04954330995678902,
0.02273360826075077,
0.05736019089818001,
-0.02363882027566433,
-0.042645301669836044,
-0.03373856469988823,
-0.06250707805156708,
0.033437564969062805,
0.11686760187149048,
0.07126444578170776,
-0.03755263611674309,
0.0028502619825303555,
0.034292072057724,
0.04498615115880966,
-0.012604620307683945,
-0.05289287120103836,
-0.09281798452138901,
0.09949973970651627,
-0.0018555083079263568,
0.08759218454360962,
0.04548013210296631,
0.02540339156985283,
0.036465734243392944,
0.08375899493694305,
-0.06519832462072372,
0.0819065272808075,
-0.00818636640906334,
-0.030438918620347977,
-0.04334922507405281,
1.4961577302895878e-33,
-0.03416008502244949,
0.07142835110425949,
0.05037610977888107,
-0.06421458721160889,
0.03955192118883133,
-0.09323451668024063,
0.0728987455368042,
0.082788847386837,
0.012069669552147388,
0.010351930744946003,
0.027212312445044518,
0.07427452504634857,
-0.027093607932329178,
-0.02333306521177292,
-0.013827139511704445,
-0.09181774407625198,
0.08247759193181992,
-0.014097312465310097,
-0.05361117050051689,
-0.007264315150678158,
0.03340540826320648,
-0.04095713794231415,
0.050773050636053085,
0.05570528283715248,
-0.008228356949985027,
-0.01830139011144638,
0.03320673853158951,
0.029723310843110085,
0.07409076392650604,
-0.007436869665980339,
0.03114551305770874,
0.07715318351984024,
0.06706152856349945,
-0.0017455379711464047,
0.05937689542770386,
-0.019321223720908165,
0.018718592822551727,
-0.04018724709749222,
0.10887499153614044,
0.020220981910824776,
0.029919134452939034,
0.011285427957773209,
-0.007354851812124252,
0.05082850530743599,
0.014887746423482895,
-0.018816163763403893,
0.007918487302958965,
-0.035507556051015854,
-0.01092371717095375,
-0.014459870755672455,
-0.01959712989628315,
-0.0010247528553009033,
0.03812236338853836,
0.03560551255941391,
0.03136036545038223,
-0.02023574896156788,
-0.018831677734851837,
-0.021680081263184547,
-0.007651435676962137,
-0.14005887508392334,
-0.014233479276299477,
-0.027531662955880165,
0.07419700920581818,
-0.07115625590085983,
-0.014585853554308414,
-0.012777889147400856,
0.001020833500660956,
-0.01781439036130905,
0.005473771132528782,
0.0034268894232809544,
0.04346385970711708,
0.06646791100502014,
-0.034031063318252563,
-0.02777176909148693,
-0.012570776976644993,
0.00910252146422863,
0.04820212349295616,
-0.023523928597569466,
0.1057223230600357,
-0.04236845299601555,
-0.06196780130267143,
0.01983492448925972,
-0.02451920136809349,
-0.03825756534934044,
-0.057792436331510544,
0.027003111317753792,
-0.009748403914272785,
-0.03624643012881279,
-0.0050141471438109875,
-0.033662036061286926,
-0.0418727770447731,
0.011221767403185368,
0.03942755609750748,
-0.016339091584086418,
-0.059979397803545,
-3.18233026529876e-33,
-0.030309682711958885,
-0.09279168397188187,
0.03737158328294754,
0.004895349498838186,
0.1185089647769928,
-0.0018050710204988718,
-0.017965801060199738,
0.09074429422616959,
-0.04859301820397377,
0.061472732573747635,
-0.028212707489728928,
0.02526293322443962,
0.009955924935638905,
-0.07392667233943939,
-0.06846905499696732,
0.0762111023068428,
0.04918789863586426,
0.01243580598384142,
0.06676234304904938,
0.008259948343038559,
-0.028315367177128792,
0.08584734797477722,
0.0821533352136612,
0.0645735114812851,
0.025424808263778687,
0.015116552822291851,
-0.008100622333586216,
-0.014359765686094761,
0.018630944192409515,
-0.014041957445442677,
-0.015949297696352005,
0.010140232741832733,
0.031457047909498215,
-0.016934340819716454,
-0.0337737575173378,
0.03695789724588394,
-0.023607611656188965,
-0.025091998279094696,
0.0201276782900095,
0.030336648225784302,
-0.03341986984014511,
-0.016649805009365082,
0.015525255352258682,
-0.03415485471487045,
-0.03829888999462128,
0.0000841869114083238,
-0.045335885137319565,
0.04848602041602135,
-0.03694230690598488,
-0.06110835820436478,
0.020647414028644562,
-0.016641441732645035,
0.014775021933019161,
-0.028444528579711914,
-0.07084066420793533,
-0.015453584492206573,
-0.001611795392818749,
0.00536151509732008,
0.0854935422539711,
0.05791088938713074,
-0.06475872546434402,
0.020156018435955048,
-0.0036480803973972797,
-0.05621466040611267,
-0.01233797986060381,
0.06980182975530624,
0.048240236937999725,
0.003991417121142149,
0.03254128620028496,
0.01499879453331232,
-0.03925230726599693,
0.09972387552261353,
-0.05605468526482582,
0.08777333796024323,
0.07242690771818161,
0.06392952054738998,
0.062301475554704666,
-0.04005540534853935,
-0.014850570820271969,
0.03982449695467949,
0.014422311447560787,
0.03453681617975235,
-0.09136570245027542,
-0.029982903972268105,
-0.01185605488717556,
-0.020383404567837715,
0.004604029469192028,
0.061929091811180115,
-0.0914740040898323,
0.050566818565130234,
0.006814202759414911,
0.013556406833231449,
0.048243384808301926,
-0.01097673736512661,
0.10121471434831619,
-3.699561190728673e-8,
0.0838804841041565,
-0.043178483843803406,
0.03224733844399452,
-0.028100816532969475,
-0.023418642580509186,
-0.07818204164505005,
0.017519839107990265,
-0.11597036570310593,
0.04552609845995903,
-0.1388109028339386,
-0.01465784665197134,
-0.033444784581661224,
0.04229354113340378,
0.04694787785410881,
0.02326764166355133,
0.030303606763482094,
0.02390756830573082,
-0.011139634065330029,
-0.0036089946515858173,
0.0072394260205328465,
-0.051344677805900574,
0.06768811494112015,
-0.015694648027420044,
-0.06649023294448853,
-0.043060049414634705,
-0.020241273567080498,
-0.03815484046936035,
-0.06756865233182907,
-0.10844429582357407,
0.046744462102651596,
-0.04180929809808731,
0.01443551667034626,
-0.035592153668403625,
-0.009051249362528324,
-0.01756804995238781,
0.004318736493587494,
-0.05582105368375778,
-0.07138851284980774,
-0.07994244247674942,
-0.08641250431537628,
0.048596277832984924,
0.09551176428794861,
-0.04651838168501854,
-0.0032977829687297344,
-0.04147044196724892,
-0.08101598918437958,
-0.007774606812745333,
0.07503383606672287,
-0.005667578894644976,
0.024419384077191353,
-0.030510133132338524,
0.018640030175447464,
-0.01034466177225113,
-0.07680482417345047,
-0.07729167491197586,
-0.027563616633415222,
-0.04763990640640259,
-0.02652899920940399,
-0.04502738639712334,
-0.04131629317998886,
0.01958300918340683,
-0.07097497582435608,
0.015923893079161644,
0.0032069107983261347
] |
1401.1406 | Jianfeng Zhan | Lei Wang, Jianfeng Zhan, Chunjie Luo, Yuqing Zhu, Qiang Yang,
Yongqiang He, Wanling Gao, Zhen Jia, Yingjie Shi, Shujie Zhang, Chen Zheng,
Gang Lu, Kent Zhan, Xiaona Li, and Bizhu Qiu | BigDataBench: a Big Data Benchmark Suite from Internet Services | 12 pages, 6 figures, The 20th IEEE International Symposium On High
Performance Computer Architecture (HPCA-2014), February 15-19, 2014, Orlando,
Florida, USA | null | 10.1109/HPCA.2014.6835958 | null | cs.DB | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As architecture, systems, and data management communities pay greater
attention to innovative big data systems and architectures, the pressure of
benchmarking and evaluating these systems rises. Considering the broad use of
big data systems, big data benchmarks must include diversity of data and
workloads. Most of the state-of-the-art big data benchmarking efforts target
evaluating specific types of applications or system software stacks, and hence
they are not qualified for serving the purposes mentioned above. This paper
presents our joint research efforts on this issue with several industrial
partners. Our big data benchmark suite BigDataBench not only covers broad
application scenarios, but also includes diverse and representative data sets.
BigDataBench is publicly available from http://prof.ict.ac.cn/BigDataBench .
Also, we comprehensively characterize 19 big data workloads included in
BigDataBench with varying data inputs. On a typical state-of-practice
processor, Intel Xeon E5645, we have the following observations: First, in
comparison with the traditional benchmarks: including PARSEC, HPCC, and
SPECCPU, big data applications have very low operation intensity; Second, the
volume of data input has non-negligible impact on micro-architecture
characteristics, which may impose challenges for simulation-based big data
architecture research; Last but not least, corroborating the observations in
CloudSuite and DCBench (which use smaller data inputs), we find that the
numbers of L1 instruction cache misses per 1000 instructions of the big data
applications are higher than in the traditional benchmarks; also, we find that
L3 caches are effective for the big data applications, corroborating the
observation in DCBench.
| [
{
"created": "Mon, 6 Jan 2014 12:35:31 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Feb 2014 20:25:01 GMT",
"version": "v2"
}
] | 2016-11-17 | [
[
"Wang",
"Lei",
""
],
[
"Zhan",
"Jianfeng",
""
],
[
"Luo",
"Chunjie",
""
],
[
"Zhu",
"Yuqing",
""
],
[
"Yang",
"Qiang",
""
],
[
"He",
"Yongqiang",
""
],
[
"Gao",
"Wanling",
""
],
[
"Jia",
"Zhen",
""
],
[
"Shi",
"Yingjie",
""
],
[
"Zhang",
"Shujie",
""
],
[
"Zheng",
"Chen",
""
],
[
"Lu",
"Gang",
""
],
[
"Zhan",
"Kent",
""
],
[
"Li",
"Xiaona",
""
],
[
"Qiu",
"Bizhu",
""
]
] | [
-0.018335428088903427,
0.0007524075917899609,
0.01291207130998373,
0.007814132608473301,
-0.007219198625534773,
-0.08183615654706955,
-0.08928493410348892,
0.03500007092952728,
-0.0562717542052269,
0.016057513654232025,
-0.06750541925430298,
-0.03447391837835312,
-0.0328819565474987,
-0.06616994738578796,
-0.022259514778852463,
0.006302412133663893,
0.14061638712882996,
-0.07117394357919693,
-0.07332687824964523,
-0.06965529173612595,
-0.013584309257566929,
-0.009417594410479069,
-0.03499322384595871,
0.007096725516021252,
0.05233221873641014,
0.02635074406862259,
-0.028108973056077957,
-0.03787881135940552,
-0.006042894441634417,
-0.02052462100982666,
-0.007221533916890621,
-0.007866104133427143,
0.0036498266272246838,
0.08426681905984879,
0.047157205641269684,
-0.0022003918420523405,
0.015085544437170029,
-0.034719038754701614,
0.008678856305778027,
-0.015045617707073689,
0.00440538115799427,
-0.008044973015785217,
-0.013520479202270508,
0.03196895495057106,
0.02805526927113533,
-0.011188268661499023,
0.04084557667374611,
-0.06960868090391159,
-0.018937641754746437,
0.0410025529563427,
-0.08156605809926987,
-0.034432992339134216,
0.002843638649210334,
0.11816681176424026,
-0.004741193260997534,
0.013826476410031319,
0.04522337391972542,
-0.01053640153259039,
-0.016904933378100395,
0.05694490671157837,
-0.05413731932640076,
-0.0929243192076683,
0.024673914536833763,
0.02720620110630989,
-0.005628274753689766,
0.047747381031513214,
0.052305858582258224,
-0.008786119520664215,
0.020941298454999924,
-0.1270504891872406,
0.0010859484318643808,
0.052707184106111526,
-0.030153488740324974,
0.05088445544242859,
-0.06301605701446533,
-0.04675285890698433,
-0.016302665695548058,
-0.028298400342464447,
0.06069181486964226,
-0.08899138867855072,
-0.015782790258526802,
0.004084884189069271,
-0.04249359667301178,
0.0055655622854828835,
0.04339884594082832,
-0.037808265537023544,
0.013778378255665302,
0.03578641638159752,
-0.02993016317486763,
0.014179624617099762,
0.025726592168211937,
0.05301392823457718,
0.0033349439036101103,
0.01812148094177246,
0.058295074850320816,
0.00026819363120011985,
0.022785823792219162,
-0.016266828402876854,
0.018194355070590973,
0.029888002201914787,
0.026220887899398804,
0.03719058260321617,
0.075315460562706,
0.05808549374341965,
0.014786220155656338,
-0.03946510702371597,
0.06334789097309113,
0.042073559015989304,
-0.04259466752409935,
-0.07918331027030945,
0.04088272526860237,
0.041239529848098755,
-0.008107972331345081,
-0.02174261212348938,
0.036544956266880035,
-0.07834608852863312,
-0.05404512584209442,
-0.04864317178726196,
-0.08322133868932724,
0.04597552493214607,
-0.03827023133635521,
-0.002584350062534213,
-0.023894663900136948,
0.003530372167006135,
-0.006007715594023466,
0.07657498121261597,
-0.0714556872844696,
7.413939114236141e-33,
-0.00306034367531538,
0.0098597826436162,
0.01773439720273018,
-0.09815066307783127,
-0.06512971222400665,
-0.02938227914273739,
-0.007566401269286871,
0.03967997431755066,
-0.09226454049348831,
0.12640991806983948,
-0.08036104589700699,
-0.0003492824034765363,
0.027097124606370926,
-0.010287776589393616,
0.11953124403953552,
0.004173195455223322,
-0.03677332401275635,
0.08745500445365906,
-0.03837091475725174,
-0.023097680881619453,
0.10564301162958145,
0.0034137824550271034,
-0.029585100710392,
-0.041989292949438095,
0.039647288620471954,
0.01542552188038826,
0.052999500185251236,
-0.03012019768357277,
0.01208630669862032,
0.0509663000702858,
-0.045647114515304565,
-0.07558973878622055,
0.03738642856478691,
0.03804365172982216,
0.06517629325389862,
-0.06601516157388687,
-0.039722803980112076,
-0.06796323508024216,
0.022245123982429504,
0.0013430399121716619,
-0.05856671184301376,
0.08117321133613586,
-0.09137478470802307,
-0.022105401381850243,
-0.06526044756174088,
-0.025024425238370895,
0.024710536003112793,
0.00479376083239913,
-0.016021016985177994,
-0.04717341810464859,
0.05527540668845177,
0.018091704696416855,
0.06815645098686218,
0.08475285023450851,
0.017895186319947243,
0.022006792947649956,
0.0646614357829094,
0.008783937431871891,
0.14271071553230286,
0.173430934548378,
-0.0982256829738617,
-0.00311621674336493,
-0.024204349145293236,
0.04571336880326271,
-0.037334732711315155,
0.043194323778152466,
-0.0004598188097588718,
0.08190391212701797,
-0.02519129030406475,
0.024596676230430603,
0.018269147723913193,
-0.030644260346889496,
0.1117088571190834,
-0.05234936624765396,
0.07680825889110565,
-0.058161232620477676,
-0.023057226091623306,
-0.04694724828004837,
-0.08785884827375412,
-0.049584001302719116,
-0.023233020678162575,
0.02875213697552681,
0.02621990442276001,
-0.03812995180487633,
-0.0014492034679278731,
-0.0019931732676923275,
-0.03516491502523422,
0.016949113458395004,
-0.04566153883934021,
0.0276785921305418,
-0.01770259626209736,
0.02132904715836048,
0.013039964251220226,
-0.0773303434252739,
-0.04034418612718582,
-4.640069258619125e-33,
-0.027611684054136276,
-0.01689414493739605,
-0.051370810717344284,
0.10958737134933472,
0.05700111389160156,
-0.04226282984018326,
-0.029512207955121994,
-0.03697460517287254,
-0.009189995005726814,
0.012287156656384468,
0.0044968510046601295,
-0.041781116276979446,
0.04578984156250954,
-0.042937904596328735,
0.00030754393083043396,
0.02003832906484604,
-0.04538634791970253,
0.0053968485444784164,
0.001499361009337008,
0.03571796417236328,
-0.01532674115151167,
-0.0032218180131167173,
0.03212469816207886,
-0.008504929952323437,
-0.06155822053551674,
0.022075453773140907,
-0.11036371439695358,
-0.013714232482016087,
0.08369617909193039,
-0.061788685619831085,
-0.031531527638435364,
0.0005875953356735408,
-0.02136143483221531,
-0.04108494147658348,
0.007899589836597443,
-0.014280932955443859,
0.057802896946668625,
-0.0007706276373937726,
-0.01274457573890686,
0.03160697594285011,
0.026068907231092453,
-0.0033972742967307568,
-0.027677826583385468,
0.0020470309536904097,
-0.0076490226201713085,
0.08123432844877243,
-0.13416601717472076,
0.035485152155160904,
0.043048154562711716,
-0.07147031277418137,
-0.0001560602686367929,
0.03579890727996826,
0.022165317088365555,
0.08491911739110947,
0.07078187167644501,
-0.06399132311344147,
-0.020010288804769516,
0.018771663308143616,
-0.07888862490653992,
-0.01577732525765896,
-0.013752171769738197,
-0.08072023838758469,
0.05021832883358002,
0.02695290930569172,
0.05953054502606392,
0.01209014281630516,
0.02860988676548004,
-0.046754781156778336,
-0.0813535749912262,
0.049478620290756226,
0.013536563143134117,
-0.07944298535585403,
0.007374573033303022,
0.03321414068341255,
-0.07691405713558197,
0.08287696540355682,
0.028002552688121796,
-0.03586336970329285,
0.047595422714948654,
0.09919151663780212,
0.015200155787169933,
0.05965762212872505,
0.03923841565847397,
-0.006976284086704254,
0.021457677707076073,
0.04195691645145416,
-0.026543352752923965,
0.00020691665122285485,
-0.09128128737211227,
-0.0034039958845824003,
-0.042259201407432556,
0.028213292360305786,
-0.056702692061662674,
-0.014650675468146801,
0.0019911578856408596,
-4.7381846002281236e-8,
0.04490363970398903,
-0.02279970608651638,
0.03964356333017349,
0.03093632124364376,
-0.020409829914569855,
-0.08038605004549026,
0.017043013125658035,
0.14981484413146973,
0.04629246145486832,
0.042314495891332626,
0.10790090262889862,
-0.059632204473018646,
-0.01672433875501156,
-0.07566070556640625,
0.12168321758508682,
0.022759560495615005,
-0.001144608948379755,
-0.09867329895496368,
-0.005709996446967125,
-0.011255602352321148,
0.016051556915044785,
0.05009603872895241,
0.016894619911909103,
-0.042806822806596756,
0.03418256342411041,
-0.04682229459285736,
0.021265173330903053,
0.07147448509931564,
0.017228232696652412,
-0.025767097249627113,
0.006360580679029226,
0.0038195461966097355,
0.010050914250314236,
-0.07210929691791534,
0.11155890673398972,
0.02867012843489647,
0.02396569587290287,
0.1165739968419075,
0.11561796069145203,
0.02462916076183319,
-0.01339295320212841,
0.019896775484085083,
-0.009279781021177769,
-0.01291186548769474,
0.05946896970272064,
0.003802204504609108,
-0.07487508654594421,
0.0550597682595253,
0.0311133936047554,
0.03637892007827759,
-0.021453434601426125,
-0.06531182676553726,
0.003528325818479061,
0.07687537372112274,
0.08795905858278275,
0.054955922067165375,
-0.053417570888996124,
-0.0645061731338501,
0.05267029255628586,
0.04024204984307289,
0.11914049834012985,
-0.07726417481899261,
-0.09045811742544174,
0.015616430900990963
] | null | null | null | null | null | null | null | [
-0.018335428088903427,
0.0007524075917899609,
0.01291207130998373,
0.007814132608473301,
-0.007219198625534773,
-0.08183615654706955,
-0.08928493410348892,
0.03500007092952728,
-0.0562717542052269,
0.016057513654232025,
-0.06750541925430298,
-0.03447391837835312,
-0.0328819565474987,
-0.06616994738578796,
-0.022259514778852463,
0.006302412133663893,
0.14061638712882996,
-0.07117394357919693,
-0.07332687824964523,
-0.06965529173612595,
-0.013584309257566929,
-0.009417594410479069,
-0.03499322384595871,
0.007096725516021252,
0.05233221873641014,
0.02635074406862259,
-0.028108973056077957,
-0.03787881135940552,
-0.006042894441634417,
-0.02052462100982666,
-0.007221533916890621,
-0.007866104133427143,
0.0036498266272246838,
0.08426681905984879,
0.047157205641269684,
-0.0022003918420523405,
0.015085544437170029,
-0.034719038754701614,
0.008678856305778027,
-0.015045617707073689,
0.00440538115799427,
-0.008044973015785217,
-0.013520479202270508,
0.03196895495057106,
0.02805526927113533,
-0.011188268661499023,
0.04084557667374611,
-0.06960868090391159,
-0.018937641754746437,
0.0410025529563427,
-0.08156605809926987,
-0.034432992339134216,
0.002843638649210334,
0.11816681176424026,
-0.004741193260997534,
0.013826476410031319,
0.04522337391972542,
-0.01053640153259039,
-0.016904933378100395,
0.05694490671157837,
-0.05413731932640076,
-0.0929243192076683,
0.024673914536833763,
0.02720620110630989,
-0.005628274753689766,
0.047747381031513214,
0.052305858582258224,
-0.008786119520664215,
0.020941298454999924,
-0.1270504891872406,
0.0010859484318643808,
0.052707184106111526,
-0.030153488740324974,
0.05088445544242859,
-0.06301605701446533,
-0.04675285890698433,
-0.016302665695548058,
-0.028298400342464447,
0.06069181486964226,
-0.08899138867855072,
-0.015782790258526802,
0.004084884189069271,
-0.04249359667301178,
0.0055655622854828835,
0.04339884594082832,
-0.037808265537023544,
0.013778378255665302,
0.03578641638159752,
-0.02993016317486763,
0.014179624617099762,
0.025726592168211937,
0.05301392823457718,
0.0033349439036101103,
0.01812148094177246,
0.058295074850320816,
0.00026819363120011985,
0.022785823792219162,
-0.016266828402876854,
0.018194355070590973,
0.029888002201914787,
0.026220887899398804,
0.03719058260321617,
0.075315460562706,
0.05808549374341965,
0.014786220155656338,
-0.03946510702371597,
0.06334789097309113,
0.042073559015989304,
-0.04259466752409935,
-0.07918331027030945,
0.04088272526860237,
0.041239529848098755,
-0.008107972331345081,
-0.02174261212348938,
0.036544956266880035,
-0.07834608852863312,
-0.05404512584209442,
-0.04864317178726196,
-0.08322133868932724,
0.04597552493214607,
-0.03827023133635521,
-0.002584350062534213,
-0.023894663900136948,
0.003530372167006135,
-0.006007715594023466,
0.07657498121261597,
-0.0714556872844696,
7.413939114236141e-33,
-0.00306034367531538,
0.0098597826436162,
0.01773439720273018,
-0.09815066307783127,
-0.06512971222400665,
-0.02938227914273739,
-0.007566401269286871,
0.03967997431755066,
-0.09226454049348831,
0.12640991806983948,
-0.08036104589700699,
-0.0003492824034765363,
0.027097124606370926,
-0.010287776589393616,
0.11953124403953552,
0.004173195455223322,
-0.03677332401275635,
0.08745500445365906,
-0.03837091475725174,
-0.023097680881619453,
0.10564301162958145,
0.0034137824550271034,
-0.029585100710392,
-0.041989292949438095,
0.039647288620471954,
0.01542552188038826,
0.052999500185251236,
-0.03012019768357277,
0.01208630669862032,
0.0509663000702858,
-0.045647114515304565,
-0.07558973878622055,
0.03738642856478691,
0.03804365172982216,
0.06517629325389862,
-0.06601516157388687,
-0.039722803980112076,
-0.06796323508024216,
0.022245123982429504,
0.0013430399121716619,
-0.05856671184301376,
0.08117321133613586,
-0.09137478470802307,
-0.022105401381850243,
-0.06526044756174088,
-0.025024425238370895,
0.024710536003112793,
0.00479376083239913,
-0.016021016985177994,
-0.04717341810464859,
0.05527540668845177,
0.018091704696416855,
0.06815645098686218,
0.08475285023450851,
0.017895186319947243,
0.022006792947649956,
0.0646614357829094,
0.008783937431871891,
0.14271071553230286,
0.173430934548378,
-0.0982256829738617,
-0.00311621674336493,
-0.024204349145293236,
0.04571336880326271,
-0.037334732711315155,
0.043194323778152466,
-0.0004598188097588718,
0.08190391212701797,
-0.02519129030406475,
0.024596676230430603,
0.018269147723913193,
-0.030644260346889496,
0.1117088571190834,
-0.05234936624765396,
0.07680825889110565,
-0.058161232620477676,
-0.023057226091623306,
-0.04694724828004837,
-0.08785884827375412,
-0.049584001302719116,
-0.023233020678162575,
0.02875213697552681,
0.02621990442276001,
-0.03812995180487633,
-0.0014492034679278731,
-0.0019931732676923275,
-0.03516491502523422,
0.016949113458395004,
-0.04566153883934021,
0.0276785921305418,
-0.01770259626209736,
0.02132904715836048,
0.013039964251220226,
-0.0773303434252739,
-0.04034418612718582,
-4.640069258619125e-33,
-0.027611684054136276,
-0.01689414493739605,
-0.051370810717344284,
0.10958737134933472,
0.05700111389160156,
-0.04226282984018326,
-0.029512207955121994,
-0.03697460517287254,
-0.009189995005726814,
0.012287156656384468,
0.0044968510046601295,
-0.041781116276979446,
0.04578984156250954,
-0.042937904596328735,
0.00030754393083043396,
0.02003832906484604,
-0.04538634791970253,
0.0053968485444784164,
0.001499361009337008,
0.03571796417236328,
-0.01532674115151167,
-0.0032218180131167173,
0.03212469816207886,
-0.008504929952323437,
-0.06155822053551674,
0.022075453773140907,
-0.11036371439695358,
-0.013714232482016087,
0.08369617909193039,
-0.061788685619831085,
-0.031531527638435364,
0.0005875953356735408,
-0.02136143483221531,
-0.04108494147658348,
0.007899589836597443,
-0.014280932955443859,
0.057802896946668625,
-0.0007706276373937726,
-0.01274457573890686,
0.03160697594285011,
0.026068907231092453,
-0.0033972742967307568,
-0.027677826583385468,
0.0020470309536904097,
-0.0076490226201713085,
0.08123432844877243,
-0.13416601717472076,
0.035485152155160904,
0.043048154562711716,
-0.07147031277418137,
-0.0001560602686367929,
0.03579890727996826,
0.022165317088365555,
0.08491911739110947,
0.07078187167644501,
-0.06399132311344147,
-0.020010288804769516,
0.018771663308143616,
-0.07888862490653992,
-0.01577732525765896,
-0.013752171769738197,
-0.08072023838758469,
0.05021832883358002,
0.02695290930569172,
0.05953054502606392,
0.01209014281630516,
0.02860988676548004,
-0.046754781156778336,
-0.0813535749912262,
0.049478620290756226,
0.013536563143134117,
-0.07944298535585403,
0.007374573033303022,
0.03321414068341255,
-0.07691405713558197,
0.08287696540355682,
0.028002552688121796,
-0.03586336970329285,
0.047595422714948654,
0.09919151663780212,
0.015200155787169933,
0.05965762212872505,
0.03923841565847397,
-0.006976284086704254,
0.021457677707076073,
0.04195691645145416,
-0.026543352752923965,
0.00020691665122285485,
-0.09128128737211227,
-0.0034039958845824003,
-0.042259201407432556,
0.028213292360305786,
-0.056702692061662674,
-0.014650675468146801,
0.0019911578856408596,
-4.7381846002281236e-8,
0.04490363970398903,
-0.02279970608651638,
0.03964356333017349,
0.03093632124364376,
-0.020409829914569855,
-0.08038605004549026,
0.017043013125658035,
0.14981484413146973,
0.04629246145486832,
0.042314495891332626,
0.10790090262889862,
-0.059632204473018646,
-0.01672433875501156,
-0.07566070556640625,
0.12168321758508682,
0.022759560495615005,
-0.001144608948379755,
-0.09867329895496368,
-0.005709996446967125,
-0.011255602352321148,
0.016051556915044785,
0.05009603872895241,
0.016894619911909103,
-0.042806822806596756,
0.03418256342411041,
-0.04682229459285736,
0.021265173330903053,
0.07147448509931564,
0.017228232696652412,
-0.025767097249627113,
0.006360580679029226,
0.0038195461966097355,
0.010050914250314236,
-0.07210929691791534,
0.11155890673398972,
0.02867012843489647,
0.02396569587290287,
0.1165739968419075,
0.11561796069145203,
0.02462916076183319,
-0.01339295320212841,
0.019896775484085083,
-0.009279781021177769,
-0.01291186548769474,
0.05946896970272064,
0.003802204504609108,
-0.07487508654594421,
0.0550597682595253,
0.0311133936047554,
0.03637892007827759,
-0.021453434601426125,
-0.06531182676553726,
0.003528325818479061,
0.07687537372112274,
0.08795905858278275,
0.054955922067165375,
-0.053417570888996124,
-0.0645061731338501,
0.05267029255628586,
0.04024204984307289,
0.11914049834012985,
-0.07726417481899261,
-0.09045811742544174,
0.015616430900990963
] |
1401.1413 | B\'egu\'e Damien | D. B\'egu\'e, G.V. Vereshchagin | Transparency of an instantaneously created electron-positron-photon
plasma | Accepted for publication in MNRAS, 6 pages, 5 figures | MNRAS 439 (2014) 924-928 | 10.1093/mnras/stu011 | null | astro-ph.HE physics.plasm-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The problem of the expansion of a relativistic plasma generated when a large
amount of energy is released in a small volume has been considered by many
authors. We use the analytical solution of Bisnovatyi-Kogan and Murzina (1995)
for the spherically symmetric relativistic expansion. The light-curves and the
spectra from transparency of an electron-positron-photon plasma are obtained.
We compare our results with the work of Goodman (1986).
| [
{
"created": "Tue, 7 Jan 2014 15:08:06 GMT",
"version": "v1"
}
] | 2014-06-26 | [
[
"Bégué",
"D.",
""
],
[
"Vereshchagin",
"G. V.",
""
]
] | [
-0.03668581321835518,
0.03356807306408882,
0.034118812531232834,
0.026010828092694283,
-0.0651564747095108,
0.007723143789917231,
0.03172164782881737,
0.007274084724485874,
0.01259165070950985,
-0.034783534705638885,
0.038715772330760956,
-0.040558572858572006,
-0.10257764905691147,
-0.03089033253490925,
0.04388222470879555,
-0.043739013373851776,
0.07465385645627975,
-0.03474833071231842,
0.008459176868200302,
0.00020637190027628094,
-0.04642567038536072,
-0.08779633790254593,
-0.010501542128622532,
-0.030706707388162613,
0.14379936456680298,
-0.044879332184791565,
0.04501429200172424,
-0.05269228294491768,
-0.035425737500190735,
0.05903694033622742,
0.14049367606639862,
-0.06123781204223633,
-0.0678870901465416,
0.002730774227529764,
0.07387567311525345,
0.011584490537643433,
-0.024169491603970528,
0.03130968660116196,
-0.0027476924005895853,
0.07790418714284897,
0.02164630964398384,
-0.002508611185476184,
-0.07284984737634659,
0.041547857224941254,
0.03135734796524048,
-0.06200331076979637,
-0.016408724710345268,
-0.05251314118504524,
-0.0354701392352581,
0.007882979698479176,
0.03706175833940506,
0.03223651275038719,
-0.011926215142011642,
0.010025735013186932,
0.06362326443195343,
-0.026781126856803894,
0.02900727279484272,
-0.01055394671857357,
0.006661274470388889,
0.038543641567230225,
-0.021360687911510468,
-0.0192610751837492,
-0.048936933279037476,
0.004361807368695736,
-0.07421519607305527,
-0.007762681692838669,
-0.0028077722527086735,
-0.06508012861013412,
-0.0313776358962059,
-0.025323983281850815,
-0.0737241581082344,
0.040412090718746185,
-0.07454108446836472,
-0.08163443207740784,
-0.015131301246583462,
-0.03615517169237137,
0.043930068612098694,
-0.025539351627230644,
-0.006107813213020563,
-0.004739264491945505,
0.02301052026450634,
-0.0035485734697431326,
-0.16374701261520386,
0.016481874510645866,
-0.017291812226176262,
0.027405153959989548,
-0.04969998076558113,
-0.009822588413953781,
-0.047413263469934464,
0.04572228342294693,
-0.030086474493145943,
-0.07089246809482574,
-0.025291599333286285,
-0.05270431563258171,
0.012119104154407978,
0.022135118022561073,
0.025267085060477257,
-0.06937669217586517,
0.12596341967582703,
-7.012538958406367e-7,
0.03584709390997887,
-0.05139121785759926,
0.017592551186680794,
0.0403217189013958,
0.0015187765238806605,
0.08692795783281326,
0.031633056700229645,
0.07674191147089005,
-0.1017378494143486,
0.06769979745149612,
0.07140041887760162,
-0.04772282764315605,
-0.031628794968128204,
-0.08932255953550339,
0.06107017397880554,
0.08192822337150574,
0.011081219650804996,
0.03547249734401703,
0.002491176361218095,
0.014570720493793488,
0.014279583469033241,
0.05234287306666374,
-0.0359460785984993,
0.08935876935720444,
0.002951458329334855,
0.0109945610165596,
0.01387285441160202,
5.439225878783292e-35,
-0.03636349365115166,
0.08214477449655533,
-0.030813027173280716,
0.08159748464822769,
0.003948905970901251,
0.03253404051065445,
0.02339501865208149,
0.026501556858420372,
-0.08292390406131744,
-0.07475582510232925,
-0.07047469913959503,
0.032933492213487625,
0.016407819464802742,
-0.0767829492688179,
-0.03283245116472244,
-0.0465703047811985,
0.06414211541414261,
0.10130664706230164,
0.03883292153477669,
0.01484420895576477,
0.00039082643343135715,
0.05377650260925293,
0.055074065923690796,
0.015636976808309555,
-0.0008293763967230916,
-0.012600012123584747,
0.014655651524662971,
0.06142476946115494,
-0.0777106061577797,
0.0003014981048181653,
0.06244448572397232,
0.022389015182852745,
0.05132455751299858,
-0.029770316556096077,
-0.04048571363091469,
-0.046405330300331116,
-0.02867700718343258,
-0.008089876733720303,
-0.030889395624399185,
-0.008527524769306183,
-0.028195302933454514,
0.05846380442380905,
-0.05129959434270859,
0.03438793495297432,
0.011290614493191242,
0.019948303699493408,
0.07458636909723282,
-0.0585724376142025,
0.07686609774827957,
0.043118830770254135,
-0.023110246285796165,
0.09152500331401825,
-0.03603571280837059,
0.04923735558986664,
0.001470189425162971,
0.005170387215912342,
0.02275667153298855,
-0.014997679740190506,
0.07307342439889908,
-0.03922165930271149,
0.0551171638071537,
0.09158175438642502,
-0.0194969791918993,
-0.03533557429909706,
-0.03151104599237442,
-0.02628757804632187,
0.03361576423048973,
0.010358334518969059,
-0.011005665175616741,
-0.056748174130916595,
-0.027013368904590607,
0.06426891684532166,
0.05515284091234207,
-0.06068898364901543,
0.07290276885032654,
-0.006827672012150288,
-0.02644984796643257,
0.05455492436885834,
0.011355585418641567,
-0.11506601423025131,
-0.04370662569999695,
-0.05639277398586273,
0.103845976293087,
-0.023991402238607407,
-0.027545928955078125,
0.02216246724128723,
-0.1333875060081482,
0.04150701314210892,
-0.005307867657393217,
-0.055052801966667175,
0.012229553423821926,
-0.027715062722563744,
-0.035228319466114044,
-0.004230479709804058,
-0.08176825195550919,
-1.651727152616721e-33,
0.01430485025048256,
-0.0034877860452979803,
-0.04578261077404022,
-0.021287746727466583,
0.04234551265835762,
0.08893723785877228,
-0.07852204144001007,
0.09345497190952301,
-0.11711987853050232,
-0.016703829169273376,
0.0031788060441613197,
-0.005961604882031679,
-0.05412006005644798,
-0.09164450317621231,
-0.04377373307943344,
-0.015420416370034218,
0.0729997530579567,
0.05024029687047005,
-0.03300780430436134,
-0.025565383955836296,
-0.008918103761970997,
-0.04853884130716324,
0.07715772837400436,
-0.023059198632836342,
0.07417743653059006,
0.021367806941270828,
0.06802311539649963,
-0.016271989792585373,
-0.005941552575677633,
0.04680746793746948,
-0.05364751070737839,
-0.06460955739021301,
0.00988033413887024,
-0.04027225449681282,
0.05084201321005821,
0.01146753877401352,
0.05054552108049393,
0.06295168399810791,
-0.02594093233346939,
0.01677398756146431,
-0.013682395219802856,
0.05220366641879082,
0.04023467004299164,
-0.017102573066949844,
-0.0007050862768664956,
0.05284421518445015,
-0.004177385941147804,
0.0295826755464077,
-0.022897908464074135,
0.048415277153253555,
-0.03209837153553963,
-0.10712968558073044,
0.055401891469955444,
0.042559050023555756,
-0.05449258163571358,
0.0676782876253128,
0.058809295296669006,
0.023932671174407005,
0.079801544547081,
-0.06578794121742249,
-0.07811971753835678,
-0.03279423341155052,
0.10330378264188766,
0.044508229941129684,
0.02646644599735737,
-0.036566730588674545,
-0.060246143490076065,
0.05512496829032898,
-0.023143604397773743,
-0.028272150084376335,
0.019120071083307266,
-0.03207828104496002,
-0.07339558750391006,
0.015023017302155495,
-0.029528696089982986,
0.08330786228179932,
0.08078497648239136,
-0.09870477765798569,
0.04055694118142128,
0.03208110108971596,
-0.023848984390497208,
-0.0044638910330832005,
0.04562271386384964,
-0.03017013520002365,
0.0741778239607811,
-0.09631428867578506,
0.004484629724174738,
-0.015010413713753223,
-0.031025808304548264,
0.04897454008460045,
-0.00550578348338604,
0.049030203372240067,
0.029834799468517303,
-0.0956902801990509,
0.151637002825737,
-4.227702987691373e-8,
0.08346569538116455,
-0.002919287420809269,
-0.05485764518380165,
0.08141878992319107,
0.06587781757116318,
-0.06626066565513611,
-0.04398960992693901,
-0.023557273671030998,
-0.01943916827440262,
-0.017608413472771645,
0.01047357078641653,
0.003725538495928049,
0.03929750248789787,
0.044742390513420105,
-0.04969514161348343,
0.058728694915771484,
-0.02214878983795643,
-0.04213787615299225,
0.03289736807346344,
0.07624763995409012,
0.009195701219141483,
0.011462721973657608,
0.03942223638296127,
-0.040739163756370544,
-0.03230482339859009,
0.05602862313389778,
-0.08782932907342911,
0.03449876233935356,
0.015244217589497566,
-0.04274878278374672,
-0.060094114392995834,
-0.004645409062504768,
0.013332916423678398,
-0.01055220328271389,
-0.013270959258079529,
0.0008615409606136382,
-0.0408499613404274,
0.006765298545360565,
-0.07591453939676285,
0.06066511571407318,
-0.014891277998685837,
-0.026514999568462372,
0.10228373855352402,
0.023310281336307526,
0.02339813858270645,
0.05346614867448807,
-0.1167479157447815,
-0.03492002561688423,
-0.06356241554021835,
0.016018280759453773,
0.0040449644438922405,
-0.032134849578142166,
-0.0666976198554039,
-0.09582744538784027,
-0.077483169734478,
0.003713085316121578,
-0.005365316290408373,
0.024002086371183395,
0.027001066133379936,
-0.07359249144792557,
0.07660038024187088,
0.05195566639304161,
-0.036694057285785675,
0.027910606935620308
] | null | null | null | null | null | null | null | [
-0.03668581321835518,
0.03356807306408882,
0.034118812531232834,
0.026010828092694283,
-0.0651564747095108,
0.007723143789917231,
0.03172164782881737,
0.007274084724485874,
0.01259165070950985,
-0.034783534705638885,
0.038715772330760956,
-0.040558572858572006,
-0.10257764905691147,
-0.03089033253490925,
0.04388222470879555,
-0.043739013373851776,
0.07465385645627975,
-0.03474833071231842,
0.008459176868200302,
0.00020637190027628094,
-0.04642567038536072,
-0.08779633790254593,
-0.010501542128622532,
-0.030706707388162613,
0.14379936456680298,
-0.044879332184791565,
0.04501429200172424,
-0.05269228294491768,
-0.035425737500190735,
0.05903694033622742,
0.14049367606639862,
-0.06123781204223633,
-0.0678870901465416,
0.002730774227529764,
0.07387567311525345,
0.011584490537643433,
-0.024169491603970528,
0.03130968660116196,
-0.0027476924005895853,
0.07790418714284897,
0.02164630964398384,
-0.002508611185476184,
-0.07284984737634659,
0.041547857224941254,
0.03135734796524048,
-0.06200331076979637,
-0.016408724710345268,
-0.05251314118504524,
-0.0354701392352581,
0.007882979698479176,
0.03706175833940506,
0.03223651275038719,
-0.011926215142011642,
0.010025735013186932,
0.06362326443195343,
-0.026781126856803894,
0.02900727279484272,
-0.01055394671857357,
0.006661274470388889,
0.038543641567230225,
-0.021360687911510468,
-0.0192610751837492,
-0.048936933279037476,
0.004361807368695736,
-0.07421519607305527,
-0.007762681692838669,
-0.0028077722527086735,
-0.06508012861013412,
-0.0313776358962059,
-0.025323983281850815,
-0.0737241581082344,
0.040412090718746185,
-0.07454108446836472,
-0.08163443207740784,
-0.015131301246583462,
-0.03615517169237137,
0.043930068612098694,
-0.025539351627230644,
-0.006107813213020563,
-0.004739264491945505,
0.02301052026450634,
-0.0035485734697431326,
-0.16374701261520386,
0.016481874510645866,
-0.017291812226176262,
0.027405153959989548,
-0.04969998076558113,
-0.009822588413953781,
-0.047413263469934464,
0.04572228342294693,
-0.030086474493145943,
-0.07089246809482574,
-0.025291599333286285,
-0.05270431563258171,
0.012119104154407978,
0.022135118022561073,
0.025267085060477257,
-0.06937669217586517,
0.12596341967582703,
-7.012538958406367e-7,
0.03584709390997887,
-0.05139121785759926,
0.017592551186680794,
0.0403217189013958,
0.0015187765238806605,
0.08692795783281326,
0.031633056700229645,
0.07674191147089005,
-0.1017378494143486,
0.06769979745149612,
0.07140041887760162,
-0.04772282764315605,
-0.031628794968128204,
-0.08932255953550339,
0.06107017397880554,
0.08192822337150574,
0.011081219650804996,
0.03547249734401703,
0.002491176361218095,
0.014570720493793488,
0.014279583469033241,
0.05234287306666374,
-0.0359460785984993,
0.08935876935720444,
0.002951458329334855,
0.0109945610165596,
0.01387285441160202,
5.439225878783292e-35,
-0.03636349365115166,
0.08214477449655533,
-0.030813027173280716,
0.08159748464822769,
0.003948905970901251,
0.03253404051065445,
0.02339501865208149,
0.026501556858420372,
-0.08292390406131744,
-0.07475582510232925,
-0.07047469913959503,
0.032933492213487625,
0.016407819464802742,
-0.0767829492688179,
-0.03283245116472244,
-0.0465703047811985,
0.06414211541414261,
0.10130664706230164,
0.03883292153477669,
0.01484420895576477,
0.00039082643343135715,
0.05377650260925293,
0.055074065923690796,
0.015636976808309555,
-0.0008293763967230916,
-0.012600012123584747,
0.014655651524662971,
0.06142476946115494,
-0.0777106061577797,
0.0003014981048181653,
0.06244448572397232,
0.022389015182852745,
0.05132455751299858,
-0.029770316556096077,
-0.04048571363091469,
-0.046405330300331116,
-0.02867700718343258,
-0.008089876733720303,
-0.030889395624399185,
-0.008527524769306183,
-0.028195302933454514,
0.05846380442380905,
-0.05129959434270859,
0.03438793495297432,
0.011290614493191242,
0.019948303699493408,
0.07458636909723282,
-0.0585724376142025,
0.07686609774827957,
0.043118830770254135,
-0.023110246285796165,
0.09152500331401825,
-0.03603571280837059,
0.04923735558986664,
0.001470189425162971,
0.005170387215912342,
0.02275667153298855,
-0.014997679740190506,
0.07307342439889908,
-0.03922165930271149,
0.0551171638071537,
0.09158175438642502,
-0.0194969791918993,
-0.03533557429909706,
-0.03151104599237442,
-0.02628757804632187,
0.03361576423048973,
0.010358334518969059,
-0.011005665175616741,
-0.056748174130916595,
-0.027013368904590607,
0.06426891684532166,
0.05515284091234207,
-0.06068898364901543,
0.07290276885032654,
-0.006827672012150288,
-0.02644984796643257,
0.05455492436885834,
0.011355585418641567,
-0.11506601423025131,
-0.04370662569999695,
-0.05639277398586273,
0.103845976293087,
-0.023991402238607407,
-0.027545928955078125,
0.02216246724128723,
-0.1333875060081482,
0.04150701314210892,
-0.005307867657393217,
-0.055052801966667175,
0.012229553423821926,
-0.027715062722563744,
-0.035228319466114044,
-0.004230479709804058,
-0.08176825195550919,
-1.651727152616721e-33,
0.01430485025048256,
-0.0034877860452979803,
-0.04578261077404022,
-0.021287746727466583,
0.04234551265835762,
0.08893723785877228,
-0.07852204144001007,
0.09345497190952301,
-0.11711987853050232,
-0.016703829169273376,
0.0031788060441613197,
-0.005961604882031679,
-0.05412006005644798,
-0.09164450317621231,
-0.04377373307943344,
-0.015420416370034218,
0.0729997530579567,
0.05024029687047005,
-0.03300780430436134,
-0.025565383955836296,
-0.008918103761970997,
-0.04853884130716324,
0.07715772837400436,
-0.023059198632836342,
0.07417743653059006,
0.021367806941270828,
0.06802311539649963,
-0.016271989792585373,
-0.005941552575677633,
0.04680746793746948,
-0.05364751070737839,
-0.06460955739021301,
0.00988033413887024,
-0.04027225449681282,
0.05084201321005821,
0.01146753877401352,
0.05054552108049393,
0.06295168399810791,
-0.02594093233346939,
0.01677398756146431,
-0.013682395219802856,
0.05220366641879082,
0.04023467004299164,
-0.017102573066949844,
-0.0007050862768664956,
0.05284421518445015,
-0.004177385941147804,
0.0295826755464077,
-0.022897908464074135,
0.048415277153253555,
-0.03209837153553963,
-0.10712968558073044,
0.055401891469955444,
0.042559050023555756,
-0.05449258163571358,
0.0676782876253128,
0.058809295296669006,
0.023932671174407005,
0.079801544547081,
-0.06578794121742249,
-0.07811971753835678,
-0.03279423341155052,
0.10330378264188766,
0.044508229941129684,
0.02646644599735737,
-0.036566730588674545,
-0.060246143490076065,
0.05512496829032898,
-0.023143604397773743,
-0.028272150084376335,
0.019120071083307266,
-0.03207828104496002,
-0.07339558750391006,
0.015023017302155495,
-0.029528696089982986,
0.08330786228179932,
0.08078497648239136,
-0.09870477765798569,
0.04055694118142128,
0.03208110108971596,
-0.023848984390497208,
-0.0044638910330832005,
0.04562271386384964,
-0.03017013520002365,
0.0741778239607811,
-0.09631428867578506,
0.004484629724174738,
-0.015010413713753223,
-0.031025808304548264,
0.04897454008460045,
-0.00550578348338604,
0.049030203372240067,
0.029834799468517303,
-0.0956902801990509,
0.151637002825737,
-4.227702987691373e-8,
0.08346569538116455,
-0.002919287420809269,
-0.05485764518380165,
0.08141878992319107,
0.06587781757116318,
-0.06626066565513611,
-0.04398960992693901,
-0.023557273671030998,
-0.01943916827440262,
-0.017608413472771645,
0.01047357078641653,
0.003725538495928049,
0.03929750248789787,
0.044742390513420105,
-0.04969514161348343,
0.058728694915771484,
-0.02214878983795643,
-0.04213787615299225,
0.03289736807346344,
0.07624763995409012,
0.009195701219141483,
0.011462721973657608,
0.03942223638296127,
-0.040739163756370544,
-0.03230482339859009,
0.05602862313389778,
-0.08782932907342911,
0.03449876233935356,
0.015244217589497566,
-0.04274878278374672,
-0.060094114392995834,
-0.004645409062504768,
0.013332916423678398,
-0.01055220328271389,
-0.013270959258079529,
0.0008615409606136382,
-0.0408499613404274,
0.006765298545360565,
-0.07591453939676285,
0.06066511571407318,
-0.014891277998685837,
-0.026514999568462372,
0.10228373855352402,
0.023310281336307526,
0.02339813858270645,
0.05346614867448807,
-0.1167479157447815,
-0.03492002561688423,
-0.06356241554021835,
0.016018280759453773,
0.0040449644438922405,
-0.032134849578142166,
-0.0666976198554039,
-0.09582744538784027,
-0.077483169734478,
0.003713085316121578,
-0.005365316290408373,
0.024002086371183395,
0.027001066133379936,
-0.07359249144792557,
0.07660038024187088,
0.05195566639304161,
-0.036694057285785675,
0.027910606935620308
] |
1401.1415 | Jun-Yu Ou | Jun-Yu Ou, Jin-Kyu So, Giorgio Adamo, Azat Sulaev, Lan Wang and
Nikolay I. Zheludev | Ultraviolet and visible range plasmonics of a topological insulator | 9 pages, 4 figures | null | 10.1038/ncomms6139 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The development of metamaterials, data processing circuits and sensors for
the visible and UV parts of the spectrum is hampered by the lack of low-loss
media supporting plasmonic excitations and drives the intense search for
plasmonic materials beyond noble metals. By studying plasmonic nanostructures
fabricated on the surface of topological insulator
$\mbox{Bi}_{1.5}\mbox{Sb}_{0.5}\mbox{Te}_{1.8}\mbox{Se}_{1.2}$ we found that it
is orders of magnitude better plasmonic material than gold and silver in the
blue-UV range. Metamaterial fabricated from
$\mbox{Bi}_{1.5}\mbox{Sb}_{0.5}\mbox{Te}_{1.8}\mbox{Se}_{1.2}$ show plasmonic
resonances from 350 nm to 550 nm while surface gratings exhibit
cathodoluminescent peaks from 230 nm to 1050 nm. The negative permittivity
underpinning plasmonic response is attributed to the combination of bulk
interband transitions and surface contribution of the topologically protected
states. The importance of our result is in the identification of new mechanisms
of negative permittivity in semiconductors where visible-range plasmonics can
be directly integrated with electronics.
| [
{
"created": "Tue, 7 Jan 2014 15:15:00 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jan 2014 18:00:38 GMT",
"version": "v2"
}
] | 2020-05-12 | [
[
"Ou",
"Jun-Yu",
""
],
[
"So",
"Jin-Kyu",
""
],
[
"Adamo",
"Giorgio",
""
],
[
"Sulaev",
"Azat",
""
],
[
"Wang",
"Lan",
""
],
[
"Zheludev",
"Nikolay I.",
""
]
] | [
-0.012749657966196537,
-0.015203407034277916,
0.022214515134692192,
-0.023011237382888794,
0.07170628011226654,
-0.06429637968540192,
0.08934404700994492,
0.09179582446813583,
-0.02670356072485447,
0.016034837812185287,
-0.025984300300478935,
-0.04358817636966705,
0.06457909941673279,
0.012032135389745235,
0.14711913466453552,
0.06558443605899811,
0.06353264302015305,
-0.05846089497208595,
0.041397031396627426,
0.07857120782136917,
0.15877006947994232,
-0.08195860683917999,
0.022865524515509605,
-0.10507410019636154,
-0.11127293109893799,
0.08008011430501938,
-0.007953984662890434,
-0.042904436588287354,
-0.05623649060726166,
-0.0065992060117423534,
-0.014544774778187275,
-0.01823640987277031,
-0.012449241243302822,
-0.02621900849044323,
-0.04875621572136879,
-0.0617666058242321,
0.08101726323366165,
0.0835062712430954,
-0.041528839617967606,
-0.03345821797847748,
-0.012704518623650074,
0.051594894379377365,
-0.05687500163912773,
-0.0970606878399849,
-0.06092758849263191,
-0.06264942139387131,
0.03751612454652786,
-0.03274720907211304,
-0.045521654188632965,
0.05025583505630493,
0.0010935174068436027,
0.008630255237221718,
-0.03981814906001091,
0.10785525292158127,
0.06694076955318451,
0.07813964039087296,
0.03245878592133522,
-0.03758552297949791,
0.039456453174352646,
-0.0060840207152068615,
0.029024239629507065,
-0.05577722191810608,
-0.004173036199063063,
-0.04839162901043892,
0.024464759975671768,
-0.010082921013236046,
0.007001932244747877,
-0.035841621458530426,
-0.03555142506957054,
-0.04148267209529877,
0.07370131462812424,
0.004045494366437197,
-0.07528618723154068,
0.005990093573927879,
0.0666646659374237,
0.1362573206424713,
0.06657151877880096,
0.03630584850907326,
0.017296811565756798,
-0.04343190789222717,
-0.05668925121426582,
0.047221627086400986,
-0.05716210976243019,
0.10271482169628143,
0.006824413780122995,
-0.03866346552968025,
-0.03139784187078476,
-0.00845719501376152,
-0.08764252066612244,
-0.10677456110715866,
0.04032916948199272,
0.016958778724074364,
-0.14335307478904724,
-0.10526452213525772,
0.02343137189745903,
-0.0008693396230228245,
-0.041677746921777725,
-0.029510751366615295,
0.04828282445669174,
0.01522130612283945,
0.06820609420537949,
-0.0401361845433712,
-0.061861734837293625,
0.016031891107559204,
-0.08957190066576004,
-0.008157487027347088,
0.006629043258726597,
0.07536731660366058,
-0.017493359744548798,
0.020866308361291885,
0.025585800409317017,
0.030177593231201172,
0.01588447391986847,
0.015613795258104801,
-0.061800144612789154,
0.032223574817180634,
-0.10240515321493149,
0.0342453196644783,
-0.018122486770153046,
0.06239595636725426,
-0.01877320371568203,
0.09881763905286789,
-0.016466259956359863,
0.052204713225364685,
0.07681341469287872,
0.013093251734972,
-0.013825716450810432,
2.980215950289368e-33,
0.016654688864946365,
0.0812733918428421,
0.05325500667095184,
-0.06811968982219696,
0.033909935504198074,
-0.035852111876010895,
0.058292828500270844,
0.058851394802331924,
-0.0028621507808566093,
0.02554050274193287,
-0.0025169439613819122,
0.09342339634895325,
-0.02687275968492031,
0.02645222283899784,
0.04647044092416763,
-0.03120754286646843,
0.08880078047513962,
-0.08297965675592422,
-0.07331135123968124,
0.008113513700664043,
0.01652362011373043,
-0.05116428807377815,
0.09054504334926605,
0.0035859476774930954,
0.0071158939972519875,
0.011093943379819393,
-0.012912658974528313,
0.01153683289885521,
0.01646975241601467,
0.0022120496723800898,
-0.014257277362048626,
0.04628412425518036,
0.0987296998500824,
-0.012999199330806732,
0.0763399675488472,
0.012599356472492218,
-0.005433427169919014,
0.048832956701517105,
0.004731419030576944,
-0.05702543631196022,
0.007409665267914534,
0.059498440474271774,
0.04544015973806381,
0.08834104984998703,
0.04393160715699196,
-0.09325835853815079,
-0.02886556088924408,
-0.03807495906949043,
-0.019259387627243996,
0.025049453601241112,
-0.04783330857753754,
-0.07898491621017456,
-0.009036548435688019,
0.04481716454029083,
0.02797786146402359,
0.005658223759382963,
0.023195842280983925,
-0.0185529924929142,
-0.010152139700949192,
-0.04505406692624092,
0.0688481256365776,
-0.022190900519490242,
0.056489791721105576,
0.03476005792617798,
-0.00953269936144352,
0.03621330484747887,
0.0029059341177344322,
0.04042276740074158,
-0.03602958098053932,
-0.005017170682549477,
0.038187846541404724,
0.11507094651460648,
-0.009828782640397549,
-0.02060258574783802,
-0.01031243521720171,
-0.037278708070516586,
0.02739676460623741,
-0.11343566328287125,
0.07432977110147476,
0.03620101138949394,
-0.07308744639158249,
0.030115939676761627,
-0.0313442088663578,
-0.0582011416554451,
-0.10923881083726883,
-0.03290097787976265,
-0.013023638166487217,
-0.026699034497141838,
-0.007662738207727671,
-0.06317740678787231,
0.052667196840047836,
-0.055284835398197174,
0.012131967581808567,
-0.07560540735721588,
-0.14253823459148407,
-4.62960919560673e-33,
-0.007997984066605568,
-0.07127605378627777,
0.08029299974441528,
-0.03478546068072319,
0.06515505164861679,
-0.017257673665881157,
0.035830751061439514,
0.09440875798463821,
-0.04331192374229431,
0.035698749125003815,
0.0124203534796834,
0.04487746208906174,
0.05306820198893547,
0.040395502001047134,
-0.06748702377080917,
0.026452409103512764,
0.0559249073266983,
0.039059169590473175,
0.10870051383972168,
-0.08644112199544907,
0.0028610345907509327,
0.05627632141113281,
-0.015640312805771828,
0.05724164471030235,
-0.008171572349965572,
-0.0349356010556221,
-0.0016773772658780217,
-0.001264917547814548,
-0.0038709440268576145,
0.005797525402158499,
0.0253126360476017,
0.08500827103853226,
-0.016922477632761,
0.002109888009727001,
0.057815391570329666,
-0.03158458694815636,
0.05374142527580261,
-0.011785618960857391,
-0.0571541003882885,
0.07627575099468231,
0.0030169386882334948,
0.0015601294580847025,
-0.014730129390954971,
0.015655718743801117,
-0.011936355382204056,
0.02431667409837246,
-0.11172264069318771,
-0.008283902890980244,
0.005864118225872517,
-0.04792345315217972,
0.013547339476644993,
-0.07359547913074493,
-0.04782866686582565,
-0.040087390691041946,
0.009233050979673862,
-0.048036232590675354,
-0.025379398837685585,
0.0162943247705698,
-0.03822994604706764,
0.05980716273188591,
0.030505428090691566,
0.0010898797772824764,
0.020617865025997162,
-0.0005045522702857852,
-0.02752760238945484,
0.0685071125626564,
0.06675796955823898,
0.025678781792521477,
0.024029023945331573,
-0.04772302135825157,
-0.007188872434198856,
-0.01202831044793129,
-0.09244763851165771,
-0.04967840760946274,
0.0640755295753479,
0.015510560013353825,
0.0016314155654981732,
0.0017758009489625692,
-0.040886372327804565,
0.018426742404699326,
0.03612501919269562,
0.04139142856001854,
-0.06706688553094864,
-0.02100229077041149,
0.01573498174548149,
0.0036289894487708807,
-0.001564922509714961,
0.05102478712797165,
-0.07773314416408539,
0.008137013763189316,
-0.03684547543525696,
-0.03315720334649086,
0.04461630806326866,
0.01681210659444332,
0.0274064801633358,
-5.334474195706207e-8,
-0.03385891765356064,
0.012992455624043941,
0.020630711689591408,
-0.026171132922172546,
-0.061007484793663025,
-0.02178935520350933,
-0.03964420035481453,
-0.11357402801513672,
0.02973969839513302,
-0.09018474072217941,
-0.02707977592945099,
-0.09383606165647507,
-0.06327497214078903,
-0.021259723231196404,
0.06529194116592407,
0.061564769595861435,
0.06290697306394577,
-0.05817635729908943,
0.030863597989082336,
-0.0008118184632621706,
-0.009264042600989342,
0.011712715029716492,
0.008745543658733368,
-0.0769437700510025,
0.007190909702330828,
-0.04926315322518349,
-0.013506598770618439,
-0.010468042455613613,
-0.038452841341495514,
0.02614942006766796,
-0.055002205073833466,
-0.01756501942873001,
0.01990414969623089,
0.02304503507912159,
0.0493718683719635,
-0.036128103733062744,
-0.04071841761469841,
-0.013527220115065575,
-0.04335065558552742,
-0.029896145686507225,
0.06976525485515594,
0.022236570715904236,
-0.038369812071323395,
-0.04817374423146248,
0.009180283173918724,
-0.051223743706941605,
0.03837430477142334,
0.09827073663473129,
0.010206988081336021,
0.010976209305226803,
-0.06490565836429596,
-0.051968302577733994,
0.0031405489426106215,
-0.06099383160471916,
-0.025071628391742706,
-0.03849431872367859,
-0.06372057646512985,
-0.05859212204813957,
-0.006050138734281063,
-0.006374739576131105,
0.07205519825220108,
-0.055286746472120285,
-0.04130212962627411,
0.028518464416265488
] | null | null | null | null | null | null | null | [
-0.012749657966196537,
-0.015203407034277916,
0.022214515134692192,
-0.023011237382888794,
0.07170628011226654,
-0.06429637968540192,
0.08934404700994492,
0.09179582446813583,
-0.02670356072485447,
0.016034837812185287,
-0.025984300300478935,
-0.04358817636966705,
0.06457909941673279,
0.012032135389745235,
0.14711913466453552,
0.06558443605899811,
0.06353264302015305,
-0.05846089497208595,
0.041397031396627426,
0.07857120782136917,
0.15877006947994232,
-0.08195860683917999,
0.022865524515509605,
-0.10507410019636154,
-0.11127293109893799,
0.08008011430501938,
-0.007953984662890434,
-0.042904436588287354,
-0.05623649060726166,
-0.0065992060117423534,
-0.014544774778187275,
-0.01823640987277031,
-0.012449241243302822,
-0.02621900849044323,
-0.04875621572136879,
-0.0617666058242321,
0.08101726323366165,
0.0835062712430954,
-0.041528839617967606,
-0.03345821797847748,
-0.012704518623650074,
0.051594894379377365,
-0.05687500163912773,
-0.0970606878399849,
-0.06092758849263191,
-0.06264942139387131,
0.03751612454652786,
-0.03274720907211304,
-0.045521654188632965,
0.05025583505630493,
0.0010935174068436027,
0.008630255237221718,
-0.03981814906001091,
0.10785525292158127,
0.06694076955318451,
0.07813964039087296,
0.03245878592133522,
-0.03758552297949791,
0.039456453174352646,
-0.0060840207152068615,
0.029024239629507065,
-0.05577722191810608,
-0.004173036199063063,
-0.04839162901043892,
0.024464759975671768,
-0.010082921013236046,
0.007001932244747877,
-0.035841621458530426,
-0.03555142506957054,
-0.04148267209529877,
0.07370131462812424,
0.004045494366437197,
-0.07528618723154068,
0.005990093573927879,
0.0666646659374237,
0.1362573206424713,
0.06657151877880096,
0.03630584850907326,
0.017296811565756798,
-0.04343190789222717,
-0.05668925121426582,
0.047221627086400986,
-0.05716210976243019,
0.10271482169628143,
0.006824413780122995,
-0.03866346552968025,
-0.03139784187078476,
-0.00845719501376152,
-0.08764252066612244,
-0.10677456110715866,
0.04032916948199272,
0.016958778724074364,
-0.14335307478904724,
-0.10526452213525772,
0.02343137189745903,
-0.0008693396230228245,
-0.041677746921777725,
-0.029510751366615295,
0.04828282445669174,
0.01522130612283945,
0.06820609420537949,
-0.0401361845433712,
-0.061861734837293625,
0.016031891107559204,
-0.08957190066576004,
-0.008157487027347088,
0.006629043258726597,
0.07536731660366058,
-0.017493359744548798,
0.020866308361291885,
0.025585800409317017,
0.030177593231201172,
0.01588447391986847,
0.015613795258104801,
-0.061800144612789154,
0.032223574817180634,
-0.10240515321493149,
0.0342453196644783,
-0.018122486770153046,
0.06239595636725426,
-0.01877320371568203,
0.09881763905286789,
-0.016466259956359863,
0.052204713225364685,
0.07681341469287872,
0.013093251734972,
-0.013825716450810432,
2.980215950289368e-33,
0.016654688864946365,
0.0812733918428421,
0.05325500667095184,
-0.06811968982219696,
0.033909935504198074,
-0.035852111876010895,
0.058292828500270844,
0.058851394802331924,
-0.0028621507808566093,
0.02554050274193287,
-0.0025169439613819122,
0.09342339634895325,
-0.02687275968492031,
0.02645222283899784,
0.04647044092416763,
-0.03120754286646843,
0.08880078047513962,
-0.08297965675592422,
-0.07331135123968124,
0.008113513700664043,
0.01652362011373043,
-0.05116428807377815,
0.09054504334926605,
0.0035859476774930954,
0.0071158939972519875,
0.011093943379819393,
-0.012912658974528313,
0.01153683289885521,
0.01646975241601467,
0.0022120496723800898,
-0.014257277362048626,
0.04628412425518036,
0.0987296998500824,
-0.012999199330806732,
0.0763399675488472,
0.012599356472492218,
-0.005433427169919014,
0.048832956701517105,
0.004731419030576944,
-0.05702543631196022,
0.007409665267914534,
0.059498440474271774,
0.04544015973806381,
0.08834104984998703,
0.04393160715699196,
-0.09325835853815079,
-0.02886556088924408,
-0.03807495906949043,
-0.019259387627243996,
0.025049453601241112,
-0.04783330857753754,
-0.07898491621017456,
-0.009036548435688019,
0.04481716454029083,
0.02797786146402359,
0.005658223759382963,
0.023195842280983925,
-0.0185529924929142,
-0.010152139700949192,
-0.04505406692624092,
0.0688481256365776,
-0.022190900519490242,
0.056489791721105576,
0.03476005792617798,
-0.00953269936144352,
0.03621330484747887,
0.0029059341177344322,
0.04042276740074158,
-0.03602958098053932,
-0.005017170682549477,
0.038187846541404724,
0.11507094651460648,
-0.009828782640397549,
-0.02060258574783802,
-0.01031243521720171,
-0.037278708070516586,
0.02739676460623741,
-0.11343566328287125,
0.07432977110147476,
0.03620101138949394,
-0.07308744639158249,
0.030115939676761627,
-0.0313442088663578,
-0.0582011416554451,
-0.10923881083726883,
-0.03290097787976265,
-0.013023638166487217,
-0.026699034497141838,
-0.007662738207727671,
-0.06317740678787231,
0.052667196840047836,
-0.055284835398197174,
0.012131967581808567,
-0.07560540735721588,
-0.14253823459148407,
-4.62960919560673e-33,
-0.007997984066605568,
-0.07127605378627777,
0.08029299974441528,
-0.03478546068072319,
0.06515505164861679,
-0.017257673665881157,
0.035830751061439514,
0.09440875798463821,
-0.04331192374229431,
0.035698749125003815,
0.0124203534796834,
0.04487746208906174,
0.05306820198893547,
0.040395502001047134,
-0.06748702377080917,
0.026452409103512764,
0.0559249073266983,
0.039059169590473175,
0.10870051383972168,
-0.08644112199544907,
0.0028610345907509327,
0.05627632141113281,
-0.015640312805771828,
0.05724164471030235,
-0.008171572349965572,
-0.0349356010556221,
-0.0016773772658780217,
-0.001264917547814548,
-0.0038709440268576145,
0.005797525402158499,
0.0253126360476017,
0.08500827103853226,
-0.016922477632761,
0.002109888009727001,
0.057815391570329666,
-0.03158458694815636,
0.05374142527580261,
-0.011785618960857391,
-0.0571541003882885,
0.07627575099468231,
0.0030169386882334948,
0.0015601294580847025,
-0.014730129390954971,
0.015655718743801117,
-0.011936355382204056,
0.02431667409837246,
-0.11172264069318771,
-0.008283902890980244,
0.005864118225872517,
-0.04792345315217972,
0.013547339476644993,
-0.07359547913074493,
-0.04782866686582565,
-0.040087390691041946,
0.009233050979673862,
-0.048036232590675354,
-0.025379398837685585,
0.0162943247705698,
-0.03822994604706764,
0.05980716273188591,
0.030505428090691566,
0.0010898797772824764,
0.020617865025997162,
-0.0005045522702857852,
-0.02752760238945484,
0.0685071125626564,
0.06675796955823898,
0.025678781792521477,
0.024029023945331573,
-0.04772302135825157,
-0.007188872434198856,
-0.01202831044793129,
-0.09244763851165771,
-0.04967840760946274,
0.0640755295753479,
0.015510560013353825,
0.0016314155654981732,
0.0017758009489625692,
-0.040886372327804565,
0.018426742404699326,
0.03612501919269562,
0.04139142856001854,
-0.06706688553094864,
-0.02100229077041149,
0.01573498174548149,
0.0036289894487708807,
-0.001564922509714961,
0.05102478712797165,
-0.07773314416408539,
0.008137013763189316,
-0.03684547543525696,
-0.03315720334649086,
0.04461630806326866,
0.01681210659444332,
0.0274064801633358,
-5.334474195706207e-8,
-0.03385891765356064,
0.012992455624043941,
0.020630711689591408,
-0.026171132922172546,
-0.061007484793663025,
-0.02178935520350933,
-0.03964420035481453,
-0.11357402801513672,
0.02973969839513302,
-0.09018474072217941,
-0.02707977592945099,
-0.09383606165647507,
-0.06327497214078903,
-0.021259723231196404,
0.06529194116592407,
0.061564769595861435,
0.06290697306394577,
-0.05817635729908943,
0.030863597989082336,
-0.0008118184632621706,
-0.009264042600989342,
0.011712715029716492,
0.008745543658733368,
-0.0769437700510025,
0.007190909702330828,
-0.04926315322518349,
-0.013506598770618439,
-0.010468042455613613,
-0.038452841341495514,
0.02614942006766796,
-0.055002205073833466,
-0.01756501942873001,
0.01990414969623089,
0.02304503507912159,
0.0493718683719635,
-0.036128103733062744,
-0.04071841761469841,
-0.013527220115065575,
-0.04335065558552742,
-0.029896145686507225,
0.06976525485515594,
0.022236570715904236,
-0.038369812071323395,
-0.04817374423146248,
0.009180283173918724,
-0.051223743706941605,
0.03837430477142334,
0.09827073663473129,
0.010206988081336021,
0.010976209305226803,
-0.06490565836429596,
-0.051968302577733994,
0.0031405489426106215,
-0.06099383160471916,
-0.025071628391742706,
-0.03849431872367859,
-0.06372057646512985,
-0.05859212204813957,
-0.006050138734281063,
-0.006374739576131105,
0.07205519825220108,
-0.055286746472120285,
-0.04130212962627411,
0.028518464416265488
] |
1401.1418 | Leonardo A Pachon | Leonardo A. Pachon, Johan F. Triana, David Zueco, Paul Brumer | Influence of Non-Markovian Dynamics in Thermal-Equilibrium
Uncertainty-Relations | 9 pages, 3 figures | J. Chem. Phys. 150, 034105 (2019) | 10.1063/1.5055061 | null | quant-ph physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Contrary to the conventional wisdom that deviations from standard
thermodynamics originate from the strong coupling to the bath, it is shown that
in quantum mechanics, these deviations originate from the uncertainty principle
and are supported by the non-Markovian character of the dynamics. Specifically,
it is shown that the lower bound of the dispersion of the total energy of the
system, imposed by the uncertainty principle, is dominated by the bath power
spectrum and therefore, quantum mechanics inhibits the system
thermal-equilibrium-state from being described by the canonical Boltzmann's
distribution. We show that for a wide class of systems, systems interacting via
central forces with pairwise-self-interacting environments, this general
observation is in sharp contrast to the classical case, for which the thermal
equilibrium distribution, irrespective of the interaction strength, is
\emph{exactly} characterized by the canonical Boltzmann distribution and
therefore, no dependence on the bath power spectrum is present. We define an
\emph{effective coupling} to the environment that depends on all energy scales
in the system and reservoir interaction. Sample computations in regimes
predicted by this effective coupling are demonstrated. For example, for the
case of strong effective coupling, deviations from standard thermodynamics are
present and, for the case of weak effective coupling, quantum features such as
stationary entanglement are possible at high temperatures.
| [
{
"created": "Tue, 7 Jan 2014 15:35:29 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 2016 21:21:37 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Oct 2016 22:36:00 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Jan 2019 09:04:30 GMT",
"version": "v4"
}
] | 2019-03-15 | [
[
"Pachon",
"Leonardo A.",
""
],
[
"Triana",
"Johan F.",
""
],
[
"Zueco",
"David",
""
],
[
"Brumer",
"Paul",
""
]
] | [
0.03378064185380936,
0.002398544456809759,
0.03006083518266678,
0.0320613719522953,
-0.05530838295817375,
0.004478148650377989,
0.009097686968743801,
0.021364962682127953,
0.09932762384414673,
-0.013023372739553452,
-0.05656633526086807,
-0.0861513689160347,
0.08290299028158188,
-0.014645518735051155,
0.010456440038979053,
-0.0767856016755104,
0.08652181923389435,
0.046473950147628784,
-0.06418304890394211,
0.05538341403007507,
-0.036083634942770004,
0.035417284816503525,
-0.05187198892235756,
-0.02893310971558094,
0.04437267407774925,
-0.018767375499010086,
0.01802966557443142,
-0.009192772209644318,
0.010863833129405975,
0.03805295750498772,
-0.013159865513443947,
-0.06400641053915024,
-0.0422494113445282,
-0.025537684559822083,
0.08441904932260513,
0.02662762440741062,
0.02493985742330551,
0.018770718947052956,
-0.03521943464875221,
0.021959422156214714,
0.014455175027251244,
0.04711166396737099,
-0.030838757753372192,
0.04000987485051155,
-0.019977593794465065,
0.03141164034605026,
0.05922219529747963,
-0.09035342186689377,
-0.03419482707977295,
-0.10483738780021667,
0.005805059801787138,
0.08382559567689896,
0.03287460282444954,
0.057766836136579514,
-0.020202916115522385,
0.04211533069610596,
0.025161035358905792,
-0.009286632761359215,
-0.023390328511595726,
-0.0723189041018486,
0.030887940898537636,
0.02421795204281807,
-0.05356854945421219,
0.03341830149292946,
0.1284928172826767,
-0.026032259687781334,
0.06864110380411148,
0.10189464688301086,
0.01969996653497219,
-0.00010675920930225402,
-0.0454995222389698,
0.034922026097774506,
-0.053659580647945404,
-0.06153601035475731,
0.055091552436351776,
-0.013446263037621975,
-0.07480739057064056,
0.013693251647055149,
-0.02007380686700344,
0.010081889107823372,
-0.00014879619993735105,
0.0015534990234300494,
0.026528390124440193,
-0.05991887301206589,
0.018965454772114754,
0.0341898612678051,
0.02110617235302925,
0.031920578330755234,
0.05228123813867569,
-0.06367246806621552,
-0.12529833614826202,
-0.04314297437667847,
-0.05771728232502937,
-0.005578284151852131,
0.08014010637998581,
-0.009607580490410328,
0.0715639740228653,
-0.07244087010622025,
0.07861588150262833,
0.04271557182073593,
0.007269138470292091,
-0.05163911357522011,
0.012742607854306698,
0.052672501653432846,
0.03311421722173691,
-0.00970742292702198,
-0.027890784665942192,
-0.0145833445712924,
0.051653917878866196,
0.03147450089454651,
0.03315753489732742,
-0.0647338479757309,
-0.009991941042244434,
0.03165677934885025,
-0.04007583111524582,
-0.002613526303321123,
0.03157731518149376,
0.05423663556575775,
0.013104531913995743,
-0.016664069145917892,
-0.016413986682891846,
-0.0353374108672142,
0.009001631289720535,
0.01409306563436985,
-0.03813893720507622,
0.01014687865972519,
-0.05940141901373863,
4.512846790726575e-34,
0.03362821042537689,
-0.08765551447868347,
0.038851357996463776,
0.032724324613809586,
0.07037581503391266,
-0.007786752190440893,
-0.017843889072537422,
-0.09949929267168045,
-0.0332849845290184,
0.041371364146471024,
0.05649374797940254,
0.1399010419845581,
0.045907098799943924,
-0.01334425900131464,
-0.009792064316570759,
0.15286168456077576,
-0.061074238270521164,
-0.05837125703692436,
0.029987378045916557,
-0.04670659825205803,
0.07679778337478638,
0.040043726563453674,
-0.030748466029763222,
0.04016970470547676,
-0.0014469788875430822,
-0.02420579269528389,
0.04795704782009125,
0.060158245265483856,
-0.007936700247228146,
0.01773514598608017,
-0.03267733007669449,
0.037793487310409546,
0.03206760808825493,
-0.04778170585632324,
0.06841134279966354,
-0.08897256851196289,
0.018720800057053566,
-0.007968191057443619,
-0.03455856814980507,
-0.04387412220239639,
0.0041649797931313515,
-0.03054916486144066,
0.013313567265868187,
0.030533500015735626,
0.00047337485011667013,
-0.04349454492330551,
0.12167314440011978,
0.00337046361528337,
-0.07614603638648987,
-0.08020640164613724,
-0.014876268804073334,
-0.024141475558280945,
0.014077078551054,
0.05529510974884033,
-0.015573232434689999,
-0.08442015945911407,
0.03971404209733009,
0.028212599456310272,
-0.035142190754413605,
0.04243384674191475,
-0.07504533976316452,
-0.007979326881468296,
0.042227186262607574,
-0.0013440028997138143,
0.09021677821874619,
0.07806681096553802,
-0.10192117094993591,
0.05645642802119255,
0.036387063562870026,
-0.0702032670378685,
-0.04989396780729294,
0.0837569311261177,
0.0054914020001888275,
-0.0715990960597992,
0.0590946301817894,
-0.04306208714842796,
0.04118025302886963,
-0.0004794428532477468,
-0.08244550228118896,
0.04752093553543091,
-0.03841685131192207,
-0.06253768503665924,
-0.004738340619951487,
0.10355789959430695,
-0.08955782651901245,
-0.04273959621787071,
-0.04413946345448494,
-0.026491139084100723,
-0.05607450753450394,
0.07886677235364914,
-0.004959250334650278,
-0.02962586283683777,
0.082211934030056,
0.03614569082856178,
-0.05226026475429535,
-4.077540845136935e-33,
0.006189034320414066,
-0.006995944306254387,
-0.03480479493737221,
0.03280605003237724,
0.07673046737909317,
0.01253103744238615,
0.01029958762228489,
0.01577209308743477,
-0.0474926233291626,
-0.13101352751255035,
0.02708047442138195,
0.08118525892496109,
0.03151138499379158,
0.017329072579741478,
-0.00153239571955055,
0.046318765729665756,
0.0408429354429245,
-0.008659272454679012,
0.05468061566352844,
0.0008867218857631087,
0.01735476590692997,
-0.006574403494596481,
0.06283871829509735,
0.010093857534229755,
0.015320015139877796,
0.001167851616628468,
-0.0284678116440773,
-0.013289973139762878,
-0.038338758051395416,
-0.007090025581419468,
-0.040689826011657715,
0.002468448830768466,
-0.03720654174685478,
-0.012376404367387295,
-0.09524539858102798,
0.07219958305358887,
-0.030787980183959007,
0.016881873831152916,
-0.04469691962003708,
0.00042750887223519385,
-0.011137700639665127,
-0.09983266890048981,
-0.060296326875686646,
-0.03128283843398094,
0.052227143198251724,
-0.026060234755277634,
-0.03687087446451187,
-0.04238312318921089,
-0.00868973322212696,
0.005051434971392155,
0.022481126710772514,
0.0238522719591856,
-0.07520533353090286,
0.060418907552957535,
-0.044444769620895386,
-0.025381864979863167,
0.04513338953256607,
0.07237093150615692,
0.06626084446907043,
0.01632835529744625,
-0.04367488995194435,
-0.06170453876256943,
0.01737348735332489,
0.0544293075799942,
-0.06150994077324867,
0.05588163807988167,
-0.15022845566272736,
-0.004941004328429699,
0.14340636134147644,
-0.043417271226644516,
-0.05295519530773163,
-0.07622091472148895,
0.0886034369468689,
0.002878596307709813,
0.06336548924446106,
0.03526507690548897,
0.09011150151491165,
-0.10137736052274704,
0.026339713484048843,
0.02291487529873848,
-0.09373099356889725,
0.11591142416000366,
-0.005156533792614937,
-0.06505898386240005,
0.012149357236921787,
0.030956540256738663,
-0.03638378530740738,
-0.02860252559185028,
0.022068647667765617,
-0.055390823632478714,
0.03862796723842621,
-0.025567663833498955,
0.018223809078335762,
-0.025099454447627068,
-0.05071789771318436,
-5.553672366431783e-8,
0.07454579323530197,
0.005543028935790062,
0.0670086219906807,
0.019851764664053917,
0.02508891001343727,
0.032671548426151276,
0.015286535024642944,
-0.011104804463684559,
-0.01746186800301075,
0.05458477884531021,
0.07821708172559738,
-0.0583026148378849,
0.03395328298211098,
-0.06278453767299652,
0.008119417354464531,
0.040108151733875275,
0.009052093140780926,
-0.06800368428230286,
-0.047130037099123,
-0.1022535040974617,
-0.016394611448049545,
-0.04907798394560814,
-0.0008259794558398426,
0.02849496342241764,
0.0038791631814092398,
-0.0012509319931268692,
-0.0581083670258522,
-0.06977719813585281,
-0.05238489434123039,
0.0015079196309670806,
-0.051593828946352005,
-0.04957512393593788,
-0.011893607676029205,
0.03444180265069008,
-0.1057467982172966,
0.05864860489964485,
-0.07184549421072006,
0.03253846615552902,
-0.019943831488490105,
-0.07843491435050964,
0.0437593050301075,
0.03561318665742874,
-0.04332798346877098,
0.05902509763836861,
-0.030864516273140907,
0.07270796597003937,
-0.07323406636714935,
0.05627107620239258,
0.056682366877794266,
0.004518216010183096,
-0.06496048718690872,
0.05777604877948761,
-0.012452215887606144,
-0.005412747152149677,
-0.04963279888033867,
-0.027188071981072426,
-0.0655197724699974,
-0.05394701287150383,
0.0035974066704511642,
-0.01449869479984045,
0.055542755872011185,
0.0041013918817043304,
-0.12068506330251694,
-0.00681542931124568
] | null | null | null | null | null | null | null | [
0.03378064185380936,
0.002398544456809759,
0.03006083518266678,
0.0320613719522953,
-0.05530838295817375,
0.004478148650377989,
0.009097686968743801,
0.021364962682127953,
0.09932762384414673,
-0.013023372739553452,
-0.05656633526086807,
-0.0861513689160347,
0.08290299028158188,
-0.014645518735051155,
0.010456440038979053,
-0.0767856016755104,
0.08652181923389435,
0.046473950147628784,
-0.06418304890394211,
0.05538341403007507,
-0.036083634942770004,
0.035417284816503525,
-0.05187198892235756,
-0.02893310971558094,
0.04437267407774925,
-0.018767375499010086,
0.01802966557443142,
-0.009192772209644318,
0.010863833129405975,
0.03805295750498772,
-0.013159865513443947,
-0.06400641053915024,
-0.0422494113445282,
-0.025537684559822083,
0.08441904932260513,
0.02662762440741062,
0.02493985742330551,
0.018770718947052956,
-0.03521943464875221,
0.021959422156214714,
0.014455175027251244,
0.04711166396737099,
-0.030838757753372192,
0.04000987485051155,
-0.019977593794465065,
0.03141164034605026,
0.05922219529747963,
-0.09035342186689377,
-0.03419482707977295,
-0.10483738780021667,
0.005805059801787138,
0.08382559567689896,
0.03287460282444954,
0.057766836136579514,
-0.020202916115522385,
0.04211533069610596,
0.025161035358905792,
-0.009286632761359215,
-0.023390328511595726,
-0.0723189041018486,
0.030887940898537636,
0.02421795204281807,
-0.05356854945421219,
0.03341830149292946,
0.1284928172826767,
-0.026032259687781334,
0.06864110380411148,
0.10189464688301086,
0.01969996653497219,
-0.00010675920930225402,
-0.0454995222389698,
0.034922026097774506,
-0.053659580647945404,
-0.06153601035475731,
0.055091552436351776,
-0.013446263037621975,
-0.07480739057064056,
0.013693251647055149,
-0.02007380686700344,
0.010081889107823372,
-0.00014879619993735105,
0.0015534990234300494,
0.026528390124440193,
-0.05991887301206589,
0.018965454772114754,
0.0341898612678051,
0.02110617235302925,
0.031920578330755234,
0.05228123813867569,
-0.06367246806621552,
-0.12529833614826202,
-0.04314297437667847,
-0.05771728232502937,
-0.005578284151852131,
0.08014010637998581,
-0.009607580490410328,
0.0715639740228653,
-0.07244087010622025,
0.07861588150262833,
0.04271557182073593,
0.007269138470292091,
-0.05163911357522011,
0.012742607854306698,
0.052672501653432846,
0.03311421722173691,
-0.00970742292702198,
-0.027890784665942192,
-0.0145833445712924,
0.051653917878866196,
0.03147450089454651,
0.03315753489732742,
-0.0647338479757309,
-0.009991941042244434,
0.03165677934885025,
-0.04007583111524582,
-0.002613526303321123,
0.03157731518149376,
0.05423663556575775,
0.013104531913995743,
-0.016664069145917892,
-0.016413986682891846,
-0.0353374108672142,
0.009001631289720535,
0.01409306563436985,
-0.03813893720507622,
0.01014687865972519,
-0.05940141901373863,
4.512846790726575e-34,
0.03362821042537689,
-0.08765551447868347,
0.038851357996463776,
0.032724324613809586,
0.07037581503391266,
-0.007786752190440893,
-0.017843889072537422,
-0.09949929267168045,
-0.0332849845290184,
0.041371364146471024,
0.05649374797940254,
0.1399010419845581,
0.045907098799943924,
-0.01334425900131464,
-0.009792064316570759,
0.15286168456077576,
-0.061074238270521164,
-0.05837125703692436,
0.029987378045916557,
-0.04670659825205803,
0.07679778337478638,
0.040043726563453674,
-0.030748466029763222,
0.04016970470547676,
-0.0014469788875430822,
-0.02420579269528389,
0.04795704782009125,
0.060158245265483856,
-0.007936700247228146,
0.01773514598608017,
-0.03267733007669449,
0.037793487310409546,
0.03206760808825493,
-0.04778170585632324,
0.06841134279966354,
-0.08897256851196289,
0.018720800057053566,
-0.007968191057443619,
-0.03455856814980507,
-0.04387412220239639,
0.0041649797931313515,
-0.03054916486144066,
0.013313567265868187,
0.030533500015735626,
0.00047337485011667013,
-0.04349454492330551,
0.12167314440011978,
0.00337046361528337,
-0.07614603638648987,
-0.08020640164613724,
-0.014876268804073334,
-0.024141475558280945,
0.014077078551054,
0.05529510974884033,
-0.015573232434689999,
-0.08442015945911407,
0.03971404209733009,
0.028212599456310272,
-0.035142190754413605,
0.04243384674191475,
-0.07504533976316452,
-0.007979326881468296,
0.042227186262607574,
-0.0013440028997138143,
0.09021677821874619,
0.07806681096553802,
-0.10192117094993591,
0.05645642802119255,
0.036387063562870026,
-0.0702032670378685,
-0.04989396780729294,
0.0837569311261177,
0.0054914020001888275,
-0.0715990960597992,
0.0590946301817894,
-0.04306208714842796,
0.04118025302886963,
-0.0004794428532477468,
-0.08244550228118896,
0.04752093553543091,
-0.03841685131192207,
-0.06253768503665924,
-0.004738340619951487,
0.10355789959430695,
-0.08955782651901245,
-0.04273959621787071,
-0.04413946345448494,
-0.026491139084100723,
-0.05607450753450394,
0.07886677235364914,
-0.004959250334650278,
-0.02962586283683777,
0.082211934030056,
0.03614569082856178,
-0.05226026475429535,
-4.077540845136935e-33,
0.006189034320414066,
-0.006995944306254387,
-0.03480479493737221,
0.03280605003237724,
0.07673046737909317,
0.01253103744238615,
0.01029958762228489,
0.01577209308743477,
-0.0474926233291626,
-0.13101352751255035,
0.02708047442138195,
0.08118525892496109,
0.03151138499379158,
0.017329072579741478,
-0.00153239571955055,
0.046318765729665756,
0.0408429354429245,
-0.008659272454679012,
0.05468061566352844,
0.0008867218857631087,
0.01735476590692997,
-0.006574403494596481,
0.06283871829509735,
0.010093857534229755,
0.015320015139877796,
0.001167851616628468,
-0.0284678116440773,
-0.013289973139762878,
-0.038338758051395416,
-0.007090025581419468,
-0.040689826011657715,
0.002468448830768466,
-0.03720654174685478,
-0.012376404367387295,
-0.09524539858102798,
0.07219958305358887,
-0.030787980183959007,
0.016881873831152916,
-0.04469691962003708,
0.00042750887223519385,
-0.011137700639665127,
-0.09983266890048981,
-0.060296326875686646,
-0.03128283843398094,
0.052227143198251724,
-0.026060234755277634,
-0.03687087446451187,
-0.04238312318921089,
-0.00868973322212696,
0.005051434971392155,
0.022481126710772514,
0.0238522719591856,
-0.07520533353090286,
0.060418907552957535,
-0.044444769620895386,
-0.025381864979863167,
0.04513338953256607,
0.07237093150615692,
0.06626084446907043,
0.01632835529744625,
-0.04367488995194435,
-0.06170453876256943,
0.01737348735332489,
0.0544293075799942,
-0.06150994077324867,
0.05588163807988167,
-0.15022845566272736,
-0.004941004328429699,
0.14340636134147644,
-0.043417271226644516,
-0.05295519530773163,
-0.07622091472148895,
0.0886034369468689,
0.002878596307709813,
0.06336548924446106,
0.03526507690548897,
0.09011150151491165,
-0.10137736052274704,
0.026339713484048843,
0.02291487529873848,
-0.09373099356889725,
0.11591142416000366,
-0.005156533792614937,
-0.06505898386240005,
0.012149357236921787,
0.030956540256738663,
-0.03638378530740738,
-0.02860252559185028,
0.022068647667765617,
-0.055390823632478714,
0.03862796723842621,
-0.025567663833498955,
0.018223809078335762,
-0.025099454447627068,
-0.05071789771318436,
-5.553672366431783e-8,
0.07454579323530197,
0.005543028935790062,
0.0670086219906807,
0.019851764664053917,
0.02508891001343727,
0.032671548426151276,
0.015286535024642944,
-0.011104804463684559,
-0.01746186800301075,
0.05458477884531021,
0.07821708172559738,
-0.0583026148378849,
0.03395328298211098,
-0.06278453767299652,
0.008119417354464531,
0.040108151733875275,
0.009052093140780926,
-0.06800368428230286,
-0.047130037099123,
-0.1022535040974617,
-0.016394611448049545,
-0.04907798394560814,
-0.0008259794558398426,
0.02849496342241764,
0.0038791631814092398,
-0.0012509319931268692,
-0.0581083670258522,
-0.06977719813585281,
-0.05238489434123039,
0.0015079196309670806,
-0.051593828946352005,
-0.04957512393593788,
-0.011893607676029205,
0.03444180265069008,
-0.1057467982172966,
0.05864860489964485,
-0.07184549421072006,
0.03253846615552902,
-0.019943831488490105,
-0.07843491435050964,
0.0437593050301075,
0.03561318665742874,
-0.04332798346877098,
0.05902509763836861,
-0.030864516273140907,
0.07270796597003937,
-0.07323406636714935,
0.05627107620239258,
0.056682366877794266,
0.004518216010183096,
-0.06496048718690872,
0.05777604877948761,
-0.012452215887606144,
-0.005412747152149677,
-0.04963279888033867,
-0.027188071981072426,
-0.0655197724699974,
-0.05394701287150383,
0.0035974066704511642,
-0.01449869479984045,
0.055542755872011185,
0.0041013918817043304,
-0.12068506330251694,
-0.00681542931124568
] |
1401.1424 | Matthias W\"ahlisch | Gabriel B. T. Kalejaiye, Jo\~ao A. S. R. Rondina, Leonardo V. V. L.
Albuquerque, Ta\'is L. Pereira, Luiz F. O. Campos, Raphael A. S. Melo, Daniel
S. Mascarenhas, Marcelo M. Carvalho | Mobile Offloading in Wireless Ad Hoc Networks | Published in: E. Baccelli, F. Juraschek, O. Hahm, T. C. Schmidt, H.
Will, M. W\"ahlisch (Eds.), Proc. of 3rd MANIAC Challenge, Berlin, Germany,
July 27 - 28, 2013, arXiv:1401.1163, Jan. 2014 | null | null | MANIAC/2013/04 | cs.NI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper describes a strategy that was designed, implemented, and presented
at the {\it Mobile Ad Hoc Networking Interoperability and Cooperation (MANIAC)
Challenge 2013}. The theme of the MANIAC Challenge 2013 was ``Mobile Data
Offloading,'' and consisted on developing and comparatively evaluating
strategies to offload infrastructure access points via customer ad hoc
forwarding using handheld devices (e.g., tablets and smartphones). According to
the challenge rules, a hop-by-hop bidding contest (or ``auction'') should
decide the path of each data packet towards its destination. Consequently, each
team should rely on other teams' willingness to forward packets for them in
order to get their traffic across the network. In this application scenario,
the incentive for customers to join the ad hoc network is discounted monthly
fees, while operators should benefit from decreased infrastructure costs.
Following the rules of MANIAC Challenge 2013, this paper proposes a strategy
that is based on the concept of how ``tight'' a node is to successfully deliver
a packet to its destination within a given deadline. This ``tightness'' idea
relies on a shortest-path analysis of the underlying network graph, and it is
used to define three sub-strategies that specify a) how to participate in an
auction; b) how to announce an auction; and c) how to decide who wins the
announced auction. The proposed strategy seeks to minimize network resource
utilization and to promote cooperative behavior among participant nodes.
| [
{
"created": "Tue, 7 Jan 2014 16:01:23 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Kalejaiye",
"Gabriel B. T.",
""
],
[
"Rondina",
"João A. S. R.",
""
],
[
"Albuquerque",
"Leonardo V. V. L.",
""
],
[
"Pereira",
"Taís L.",
""
],
[
"Campos",
"Luiz F. O.",
""
],
[
"Melo",
"Raphael A. S.",
""
],
[
"Mascarenhas",
"Daniel S.",
""
],
[
"Carvalho",
"Marcelo M.",
""
]
] | [
-0.07784878462553024,
0.08278397470712662,
0.01678200252354145,
-0.04685604199767113,
0.003649750491604209,
-0.02815612591803074,
0.013376845978200436,
-0.005809704307466745,
-0.04398038983345032,
0.06177964061498642,
-0.057436294853687286,
-0.013715959154069424,
0.049735892564058304,
0.0009045579936355352,
0.04961317777633667,
-0.01845107600092888,
0.10667072981595993,
-0.05643302947282791,
0.0049005732871592045,
-0.017301389947533607,
0.023326558992266655,
-0.007637588772922754,
0.0063851373270154,
-0.053110748529434204,
0.06989100575447083,
-0.015958575531840324,
-0.03023947775363922,
-0.024801824241876602,
-0.017831047996878624,
0.03727239742875099,
-0.04776332527399063,
0.014884866774082184,
-0.07343801856040955,
0.029936933889985085,
-0.030417550355196,
-0.03889252617955208,
-0.09078618884086609,
0.014037118293344975,
-0.03564194589853287,
0.03634317219257355,
-0.01509750448167324,
-0.021441999822854996,
-0.08951766788959503,
0.06356740742921829,
-0.017388395965099335,
0.004433441441506147,
0.007460138760507107,
0.10937895625829697,
-0.006679906044155359,
0.020513759925961494,
-0.0016644785646349192,
-0.0665399581193924,
-0.014191527850925922,
0.0408666618168354,
-0.05673651397228241,
0.053870946168899536,
0.00812823697924614,
0.007776104379445314,
0.06822551041841507,
0.048012636601924896,
0.06251569837331772,
-0.07299195975065231,
-0.08884093165397644,
0.06452032178640366,
-0.02416372485458851,
-0.04151389002799988,
0.06333671510219574,
0.05050494521856308,
-0.030176442116498947,
0.015303066000342369,
0.07194545120000839,
0.03810505568981171,
0.023540375754237175,
0.055899184197187424,
0.07529973238706589,
0.05367761477828026,
0.02386249601840973,
-0.007517601829022169,
-0.020807931199669838,
0.0008520442643202841,
0.01977936178445816,
-0.005557716358453035,
-0.059347741305828094,
0.011193865910172462,
0.011262113228440285,
-0.09866107255220413,
-0.024596216157078743,
0.0029099814128130674,
0.017977645620703697,
0.003146194387227297,
-0.06307604908943176,
0.053680263459682465,
-0.03888101130723953,
0.033850301057100296,
0.049761563539505005,
0.004834969062358141,
-0.0010526953265070915,
0.010539702139794827,
-0.0524488165974617,
0.07430223375558853,
-0.01699017360806465,
0.06540102511644363,
0.010390561074018478,
-0.05400514230132103,
0.07312628626823425,
0.012137902900576591,
-0.0029851545114070177,
-0.051106516271829605,
0.12947559356689453,
0.09507329761981964,
-0.06222887337207794,
-0.0133548928424716,
-0.011672168970108032,
-0.10235955566167831,
-0.09333650022745132,
0.023720739409327507,
-0.12282168865203857,
0.032135460525751114,
0.026625828817486763,
0.027112506330013275,
0.003461039625108242,
-0.02263530157506466,
0.009843014180660248,
-0.09038130939006805,
0.10817457735538483,
0.023554498329758644,
-0.02177620492875576,
-2.0223142822586728e-34,
-0.03083927184343338,
0.016320332884788513,
-0.04085596278309822,
0.008528524078428745,
0.020487764850258827,
-0.01406028401106596,
0.06849348545074463,
-0.022972485050559044,
-0.03428265452384949,
-0.03989400714635849,
-0.07821962982416153,
0.038017768412828445,
0.028546899557113647,
0.006192224100232124,
0.10313034057617188,
-0.06600046157836914,
-0.0023110031615942717,
-0.055164553225040436,
0.10762553662061691,
0.03270545229315758,
0.029365256428718567,
-0.12678898870944977,
-0.006328731309622526,
-0.025222670286893845,
0.027380822226405144,
-0.03476729243993759,
-0.011743243783712387,
-0.10798536986112595,
0.13795310258865356,
0.038305629044771194,
-0.0002766649704426527,
-0.02596532180905342,
0.0661553144454956,
0.045866355299949646,
-0.04493298381567001,
0.04664246737957001,
-0.05657392367720604,
-0.12265114486217499,
0.07034255564212799,
0.024979429319500923,
-0.08598984032869339,
-0.02121022716164589,
-0.06924396008253098,
-0.005071196239441633,
-0.09429167211055756,
-0.0568569116294384,
-0.014609331265091896,
-0.012004866264760494,
-0.11867538094520569,
0.031001180410385132,
0.051940057426691055,
-0.026036595925688744,
0.022440021857619286,
-0.014069362543523312,
-0.018743177875876427,
-0.059919293969869614,
0.02335929125547409,
-0.047446347773075104,
-0.02980215474963188,
0.09126773476600647,
0.020114991813898087,
-0.032667141407728195,
0.008162809535861015,
0.07194714993238449,
-0.06256365776062012,
-0.02431654743850231,
-0.009473428130149841,
0.0015247755218297243,
0.0347045473754406,
0.006431327201426029,
-0.037269044667482376,
-0.024433063343167305,
0.03235706314444542,
-0.01262342743575573,
-0.008326218463480473,
0.08427924662828445,
0.009803867898881435,
0.03310602903366089,
-0.007575881201773882,
-0.031333524733781815,
-0.08610682934522629,
0.004145509097725153,
0.01954454556107521,
0.024454068392515182,
-0.004926864057779312,
-0.026306508108973503,
-0.04007301852107048,
-0.08190791308879852,
-0.060006480664014816,
0.05930754914879799,
-0.06819756329059601,
0.0914747342467308,
-0.0602472722530365,
0.06342575699090958,
0.08737397193908691,
-2.1229006106540037e-35,
-0.019678207114338875,
0.07515012472867966,
-0.04084809124469757,
0.0564231313765049,
0.11733075231313705,
-0.00427994504570961,
0.043025873601436615,
-0.02604093588888645,
0.021231692284345627,
0.013364032842218876,
-0.12883888185024261,
-0.006304536946117878,
0.06617064774036407,
-0.06445516645908356,
-0.0037923248019069433,
-0.07444927096366882,
0.017647434026002884,
-0.03393102437257767,
-0.048036836087703705,
0.04511364921927452,
-0.0060976240783929825,
0.04172368720173836,
-0.05777926370501518,
-0.07463855296373367,
0.07351867854595184,
0.01084955781698227,
-0.01767769269645214,
-0.08678910881280899,
0.027188841253519058,
0.018055114895105362,
-0.011659677140414715,
-0.08639930933713913,
0.018848614767193794,
-0.11108505725860596,
0.07724656164646149,
0.13753020763397217,
0.019865859299898148,
0.04228559508919716,
0.015894586220383644,
0.05563562363386154,
0.060520198196172714,
-0.045372772961854935,
-0.016093982383608818,
0.02308555319905281,
0.04305656999349594,
0.020069127902388573,
-0.02515939064323902,
-0.022164108231663704,
-0.09252243489027023,
-0.0035094788763672113,
0.07706909626722336,
0.035544488579034805,
0.011294271796941757,
0.02680215612053871,
-0.06037139147520065,
0.016709979623556137,
-0.03534560650587082,
-0.0284800473600626,
0.035471606999635696,
0.02844243310391903,
0.12226434797048569,
-0.017753655090928078,
-0.03141326457262039,
0.115107461810112,
-0.016928188502788544,
-0.016643188893795013,
0.04870447888970375,
-0.014871860854327679,
-0.05389394238591194,
0.03646702691912651,
-0.06349837779998779,
0.025776412338018417,
-0.0021717771887779236,
0.021150073036551476,
0.0010514205787330866,
0.04743320867419243,
0.0007919322233647108,
0.06883561611175537,
0.012676979415118694,
0.005581631790846586,
-0.027744507417082787,
0.1547805219888687,
0.012935856357216835,
0.020444996654987335,
0.04279622063040733,
0.03257844224572182,
0.03870725259184837,
0.01822790503501892,
-0.04519472271203995,
0.048695024102926254,
-0.04739389941096306,
-0.01340203545987606,
-0.006087304092943668,
0.027271734550595284,
0.02135409787297249,
-5.270327463335889e-8,
-0.02103945054113865,
0.05287756398320198,
0.03958932310342789,
-0.039179477840662,
-0.003405688563361764,
0.037456292659044266,
0.03255036473274231,
0.053764794021844864,
0.09042724967002869,
0.05331743508577347,
0.054953981190919876,
0.05431867763400078,
-0.03513069450855255,
0.05220692977309227,
-0.08756475150585175,
0.05242259427905083,
-0.039838455617427826,
-0.050540629774332047,
-0.04838196560740471,
-0.02223111316561699,
-0.040686942636966705,
0.004075787030160427,
-0.07269494235515594,
-0.008805015124380589,
0.01506300363689661,
0.0244847871363163,
0.0034384604077786207,
0.006457791198045015,
0.04366248846054077,
-0.027497030794620514,
-0.08139978349208832,
-0.02158249355852604,
-0.010087226517498493,
-0.050130099058151245,
-0.06076987460255623,
0.06680066883563995,
-0.02554718405008316,
-0.02023921348154545,
0.015121418051421642,
0.04553116485476494,
-0.047067102044820786,
0.07270967215299606,
0.029356494545936584,
-0.010139577090740204,
0.005335306748747826,
-0.06123447045683861,
-0.08874721825122833,
0.0597868412733078,
0.006732240319252014,
-0.02794721908867359,
-0.026100559160113335,
-0.06070379912853241,
-0.058143917471170425,
-0.012024891562759876,
0.10407090932130814,
-0.01524769514799118,
-0.01198247168213129,
-0.08205445855855942,
0.021746831014752388,
0.04586237296462059,
0.007833776995539665,
0.047492388635873795,
-0.08802007138729095,
0.03327436372637749
] | null | null | null | null | null | null | null | [
-0.07784878462553024,
0.08278397470712662,
0.01678200252354145,
-0.04685604199767113,
0.003649750491604209,
-0.02815612591803074,
0.013376845978200436,
-0.005809704307466745,
-0.04398038983345032,
0.06177964061498642,
-0.057436294853687286,
-0.013715959154069424,
0.049735892564058304,
0.0009045579936355352,
0.04961317777633667,
-0.01845107600092888,
0.10667072981595993,
-0.05643302947282791,
0.0049005732871592045,
-0.017301389947533607,
0.023326558992266655,
-0.007637588772922754,
0.0063851373270154,
-0.053110748529434204,
0.06989100575447083,
-0.015958575531840324,
-0.03023947775363922,
-0.024801824241876602,
-0.017831047996878624,
0.03727239742875099,
-0.04776332527399063,
0.014884866774082184,
-0.07343801856040955,
0.029936933889985085,
-0.030417550355196,
-0.03889252617955208,
-0.09078618884086609,
0.014037118293344975,
-0.03564194589853287,
0.03634317219257355,
-0.01509750448167324,
-0.021441999822854996,
-0.08951766788959503,
0.06356740742921829,
-0.017388395965099335,
0.004433441441506147,
0.007460138760507107,
0.10937895625829697,
-0.006679906044155359,
0.020513759925961494,
-0.0016644785646349192,
-0.0665399581193924,
-0.014191527850925922,
0.0408666618168354,
-0.05673651397228241,
0.053870946168899536,
0.00812823697924614,
0.007776104379445314,
0.06822551041841507,
0.048012636601924896,
0.06251569837331772,
-0.07299195975065231,
-0.08884093165397644,
0.06452032178640366,
-0.02416372485458851,
-0.04151389002799988,
0.06333671510219574,
0.05050494521856308,
-0.030176442116498947,
0.015303066000342369,
0.07194545120000839,
0.03810505568981171,
0.023540375754237175,
0.055899184197187424,
0.07529973238706589,
0.05367761477828026,
0.02386249601840973,
-0.007517601829022169,
-0.020807931199669838,
0.0008520442643202841,
0.01977936178445816,
-0.005557716358453035,
-0.059347741305828094,
0.011193865910172462,
0.011262113228440285,
-0.09866107255220413,
-0.024596216157078743,
0.0029099814128130674,
0.017977645620703697,
0.003146194387227297,
-0.06307604908943176,
0.053680263459682465,
-0.03888101130723953,
0.033850301057100296,
0.049761563539505005,
0.004834969062358141,
-0.0010526953265070915,
0.010539702139794827,
-0.0524488165974617,
0.07430223375558853,
-0.01699017360806465,
0.06540102511644363,
0.010390561074018478,
-0.05400514230132103,
0.07312628626823425,
0.012137902900576591,
-0.0029851545114070177,
-0.051106516271829605,
0.12947559356689453,
0.09507329761981964,
-0.06222887337207794,
-0.0133548928424716,
-0.011672168970108032,
-0.10235955566167831,
-0.09333650022745132,
0.023720739409327507,
-0.12282168865203857,
0.032135460525751114,
0.026625828817486763,
0.027112506330013275,
0.003461039625108242,
-0.02263530157506466,
0.009843014180660248,
-0.09038130939006805,
0.10817457735538483,
0.023554498329758644,
-0.02177620492875576,
-2.0223142822586728e-34,
-0.03083927184343338,
0.016320332884788513,
-0.04085596278309822,
0.008528524078428745,
0.020487764850258827,
-0.01406028401106596,
0.06849348545074463,
-0.022972485050559044,
-0.03428265452384949,
-0.03989400714635849,
-0.07821962982416153,
0.038017768412828445,
0.028546899557113647,
0.006192224100232124,
0.10313034057617188,
-0.06600046157836914,
-0.0023110031615942717,
-0.055164553225040436,
0.10762553662061691,
0.03270545229315758,
0.029365256428718567,
-0.12678898870944977,
-0.006328731309622526,
-0.025222670286893845,
0.027380822226405144,
-0.03476729243993759,
-0.011743243783712387,
-0.10798536986112595,
0.13795310258865356,
0.038305629044771194,
-0.0002766649704426527,
-0.02596532180905342,
0.0661553144454956,
0.045866355299949646,
-0.04493298381567001,
0.04664246737957001,
-0.05657392367720604,
-0.12265114486217499,
0.07034255564212799,
0.024979429319500923,
-0.08598984032869339,
-0.02121022716164589,
-0.06924396008253098,
-0.005071196239441633,
-0.09429167211055756,
-0.0568569116294384,
-0.014609331265091896,
-0.012004866264760494,
-0.11867538094520569,
0.031001180410385132,
0.051940057426691055,
-0.026036595925688744,
0.022440021857619286,
-0.014069362543523312,
-0.018743177875876427,
-0.059919293969869614,
0.02335929125547409,
-0.047446347773075104,
-0.02980215474963188,
0.09126773476600647,
0.020114991813898087,
-0.032667141407728195,
0.008162809535861015,
0.07194714993238449,
-0.06256365776062012,
-0.02431654743850231,
-0.009473428130149841,
0.0015247755218297243,
0.0347045473754406,
0.006431327201426029,
-0.037269044667482376,
-0.024433063343167305,
0.03235706314444542,
-0.01262342743575573,
-0.008326218463480473,
0.08427924662828445,
0.009803867898881435,
0.03310602903366089,
-0.007575881201773882,
-0.031333524733781815,
-0.08610682934522629,
0.004145509097725153,
0.01954454556107521,
0.024454068392515182,
-0.004926864057779312,
-0.026306508108973503,
-0.04007301852107048,
-0.08190791308879852,
-0.060006480664014816,
0.05930754914879799,
-0.06819756329059601,
0.0914747342467308,
-0.0602472722530365,
0.06342575699090958,
0.08737397193908691,
-2.1229006106540037e-35,
-0.019678207114338875,
0.07515012472867966,
-0.04084809124469757,
0.0564231313765049,
0.11733075231313705,
-0.00427994504570961,
0.043025873601436615,
-0.02604093588888645,
0.021231692284345627,
0.013364032842218876,
-0.12883888185024261,
-0.006304536946117878,
0.06617064774036407,
-0.06445516645908356,
-0.0037923248019069433,
-0.07444927096366882,
0.017647434026002884,
-0.03393102437257767,
-0.048036836087703705,
0.04511364921927452,
-0.0060976240783929825,
0.04172368720173836,
-0.05777926370501518,
-0.07463855296373367,
0.07351867854595184,
0.01084955781698227,
-0.01767769269645214,
-0.08678910881280899,
0.027188841253519058,
0.018055114895105362,
-0.011659677140414715,
-0.08639930933713913,
0.018848614767193794,
-0.11108505725860596,
0.07724656164646149,
0.13753020763397217,
0.019865859299898148,
0.04228559508919716,
0.015894586220383644,
0.05563562363386154,
0.060520198196172714,
-0.045372772961854935,
-0.016093982383608818,
0.02308555319905281,
0.04305656999349594,
0.020069127902388573,
-0.02515939064323902,
-0.022164108231663704,
-0.09252243489027023,
-0.0035094788763672113,
0.07706909626722336,
0.035544488579034805,
0.011294271796941757,
0.02680215612053871,
-0.06037139147520065,
0.016709979623556137,
-0.03534560650587082,
-0.0284800473600626,
0.035471606999635696,
0.02844243310391903,
0.12226434797048569,
-0.017753655090928078,
-0.03141326457262039,
0.115107461810112,
-0.016928188502788544,
-0.016643188893795013,
0.04870447888970375,
-0.014871860854327679,
-0.05389394238591194,
0.03646702691912651,
-0.06349837779998779,
0.025776412338018417,
-0.0021717771887779236,
0.021150073036551476,
0.0010514205787330866,
0.04743320867419243,
0.0007919322233647108,
0.06883561611175537,
0.012676979415118694,
0.005581631790846586,
-0.027744507417082787,
0.1547805219888687,
0.012935856357216835,
0.020444996654987335,
0.04279622063040733,
0.03257844224572182,
0.03870725259184837,
0.01822790503501892,
-0.04519472271203995,
0.048695024102926254,
-0.04739389941096306,
-0.01340203545987606,
-0.006087304092943668,
0.027271734550595284,
0.02135409787297249,
-5.270327463335889e-8,
-0.02103945054113865,
0.05287756398320198,
0.03958932310342789,
-0.039179477840662,
-0.003405688563361764,
0.037456292659044266,
0.03255036473274231,
0.053764794021844864,
0.09042724967002869,
0.05331743508577347,
0.054953981190919876,
0.05431867763400078,
-0.03513069450855255,
0.05220692977309227,
-0.08756475150585175,
0.05242259427905083,
-0.039838455617427826,
-0.050540629774332047,
-0.04838196560740471,
-0.02223111316561699,
-0.040686942636966705,
0.004075787030160427,
-0.07269494235515594,
-0.008805015124380589,
0.01506300363689661,
0.0244847871363163,
0.0034384604077786207,
0.006457791198045015,
0.04366248846054077,
-0.027497030794620514,
-0.08139978349208832,
-0.02158249355852604,
-0.010087226517498493,
-0.050130099058151245,
-0.06076987460255623,
0.06680066883563995,
-0.02554718405008316,
-0.02023921348154545,
0.015121418051421642,
0.04553116485476494,
-0.047067102044820786,
0.07270967215299606,
0.029356494545936584,
-0.010139577090740204,
0.005335306748747826,
-0.06123447045683861,
-0.08874721825122833,
0.0597868412733078,
0.006732240319252014,
-0.02794721908867359,
-0.026100559160113335,
-0.06070379912853241,
-0.058143917471170425,
-0.012024891562759876,
0.10407090932130814,
-0.01524769514799118,
-0.01198247168213129,
-0.08205445855855942,
0.021746831014752388,
0.04586237296462059,
0.007833776995539665,
0.047492388635873795,
-0.08802007138729095,
0.03327436372637749
] |
1401.1428 | Matthias W\"ahlisch | Alan Ferrari, Dario Gallucci | B-Maniac | Published in: E. Baccelli, F. Juraschek, O. Hahm, T. C. Schmidt, H.
Will, M. W\"ahlisch (Eds.), Proc. of 3rd MANIAC Challenge, Berlin, Germany,
July 27 - 28, 2013, arXiv:1401.1163, Jan. 2014 | null | null | MANIAC/2013/01 | cs.NI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Mobile Data Offloading permits users to use cheap communication media,
whenever feasible, for delivering their personal data instead of using the
infrastructure which is more expensive. Having good procedures to assess and
compare the different possibilities a device has to send his data is crucial.
In the following paper, we propose an evaluating approach that takes into
consideration the topology changes history in order to provide an efficient way
to calculate the quality of a specific medium.
In particular \textit{Bayesian Networks} are used as basis to provide our
solution to the Maniac Challenge 2013. Bayesian Networks is a statistical model
for the generation of inferences starting with very little information. In the
next sections we will give a definition of the Bayesian Networks focusing on
the simplest and computationally efficient of the Bayesian Networks versions,
named \textit{\naive Bayes}. Finally, we will show our method for the challenge
to evaluate the medium and the bid strategy.
| [
{
"created": "Tue, 7 Jan 2014 16:10:44 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Ferrari",
"Alan",
""
],
[
"Gallucci",
"Dario",
""
]
] | [
-0.045054517686367035,
-0.03491641581058502,
0.053641822189092636,
-0.02476566843688488,
0.055054135620594025,
-0.03849915415048599,
-0.02207518182694912,
-0.011429301463067532,
0.014965584501624107,
0.002739506773650646,
0.010051818564534187,
0.008832660503685474,
0.09761609882116318,
-0.00604971032589674,
-0.028971828520298004,
0.01499075535684824,
0.09579575061798096,
-0.019991429522633553,
-0.004867928102612495,
-0.030860183760523796,
-0.02990720234811306,
0.05218645930290222,
0.015696972608566284,
-0.11240500211715698,
0.08971912413835526,
0.0018543754704296589,
0.05782373994588852,
0.038402508944272995,
-0.0034069193061441183,
0.011788525618612766,
0.01920253597199917,
0.03432082012295723,
-0.023050352931022644,
-0.021243268623948097,
0.02682708017528057,
-0.07287542521953583,
-0.057186808437108994,
-0.042722780257463455,
-0.028045780956745148,
0.06325151771306992,
0.013537931255996227,
-0.015611548908054829,
0.014867322519421577,
0.10378733277320862,
-0.0707402303814888,
0.06456239521503448,
-0.04962935671210289,
0.09109299629926682,
0.006885901093482971,
-0.024061856791377068,
-0.022496696561574936,
-0.021335724741220474,
-0.032228682190179825,
0.05270757898688316,
0.027368349954485893,
-0.007031894288957119,
-0.03312820568680763,
0.03251216188073158,
0.05556832253932953,
0.0543358288705349,
0.01651809923350811,
-0.06319687515497208,
-0.05722659081220627,
0.018881088122725487,
0.046046216040849686,
0.06745053082704544,
-0.025102360174059868,
0.0787644311785698,
-0.003425643080845475,
0.06872063130140305,
-0.021701302379369736,
0.08883664757013321,
-0.034194428473711014,
0.07827120274305344,
0.028576070442795753,
0.008780097588896751,
0.03851623088121414,
-0.0035626196768134832,
-0.06443613022565842,
-0.03946627303957939,
-0.04731656610965729,
-0.09513170272111893,
-0.019552670419216156,
0.020451009273529053,
0.07377645373344421,
-0.08755908906459808,
-0.05198737233877182,
0.006888473406434059,
-0.017471114173531532,
-0.0002327474794583395,
-0.09215102344751358,
0.045107290148735046,
0.0323350727558136,
-0.045703258365392685,
-0.04392502084374428,
0.05051679536700249,
-0.04198899120092392,
-0.1062319278717041,
-0.0006124303326942027,
0.1268731951713562,
-0.019762082025408745,
0.023790352046489716,
0.0862385481595993,
-0.13661737740039825,
0.012020780704915524,
-0.03549502044916153,
0.035471972078084946,
0.07415301352739334,
0.08591337502002716,
-0.02173583023250103,
-0.034357182681560516,
-0.01591511443257332,
-0.028578506782650948,
-0.06669057905673981,
-0.024941731244325638,
-0.02271931990981102,
-0.021774375811219215,
0.07672283798456192,
-0.023950496688485146,
0.06742623448371887,
0.0020878652576357126,
-0.015533704310655594,
0.0046549951657652855,
-0.094477578997612,
-0.006490872707217932,
-0.01459314115345478,
-0.044337932020425797,
9.070652222569146e-35,
0.05089682340621948,
-0.006758884526789188,
0.05067726969718933,
0.10028276592493057,
-0.007603155914694071,
0.013197260908782482,
-0.04035349190235138,
0.004375093150883913,
0.04138629510998726,
-0.06408987939357758,
-0.019961003214120865,
0.09126865118741989,
-0.13776007294654846,
0.0033374165650457144,
0.12164927273988724,
-0.03405272960662842,
-0.012233207933604717,
0.04853323847055435,
0.04506600648164749,
-0.0017975697992369533,
0.03670582175254822,
-0.05071897432208061,
0.006330469157546759,
-0.049132004380226135,
0.05640468746423721,
-0.01387858483940363,
0.06285490095615387,
-0.026128802448511124,
0.009205520153045654,
-0.015019237995147705,
-0.08748140186071396,
0.017905451357364655,
0.030082646757364273,
0.04761030524969101,
0.014757140539586544,
0.015863290056586266,
0.0009073123801499605,
-0.08937174826860428,
0.0005378896603360772,
-0.022016305476427078,
-0.057630833238363266,
-0.025105394423007965,
-0.00876689050346613,
-0.003538767108693719,
-0.09566916525363922,
-0.10639353841543198,
-0.027076516300439835,
-0.06457778811454773,
0.03392431139945984,
-0.041448310017585754,
0.09146853536367416,
-0.07668628543615341,
0.03238007798790932,
0.007307892665266991,
-0.05838857591152191,
0.0027913327794522047,
0.02920178696513176,
-0.0030811582691967487,
0.024289794266223907,
0.037100452929735184,
0.09217654168605804,
0.030956896021962166,
-0.007842532359063625,
0.010724106803536415,
-0.0012209261767566204,
0.020614538341760635,
-0.0020311884582042694,
-0.006710726302117109,
0.027615156024694443,
-0.01603078655898571,
-0.01652641035616398,
-0.003095050808042288,
0.009129663929343224,
-0.02455994486808777,
0.07514587044715881,
0.08105100691318512,
-0.07068350166082382,
-0.022320138290524483,
-0.0720045417547226,
0.022781508043408394,
-0.04902253299951553,
-0.0615813285112381,
-0.013575591146945953,
0.02229185402393341,
0.013578495010733604,
0.04078320786356926,
0.05156926438212395,
-0.06271278858184814,
-0.08345647156238556,
0.08320914208889008,
-0.11634314060211182,
0.004667823202908039,
-0.00285940058529377,
-0.019611937925219536,
0.005688850302249193,
-9.835771737997906e-34,
-0.16623426973819733,
0.03897146135568619,
0.006046188995242119,
0.09137929230928421,
-0.00847835186868906,
-0.11508869379758835,
0.00306381075643003,
0.0022432829719036818,
-0.03207433223724365,
-0.06709234416484833,
-0.07855372875928879,
-0.003258210141211748,
0.009260175749659538,
-0.10500837862491608,
-0.011296475306153297,
-0.006889588199555874,
-0.03776981309056282,
-0.09420362859964371,
-0.0503559447824955,
-0.04432804509997368,
0.0158387478441,
0.0088838255032897,
-0.023852074518799782,
-0.0670534297823906,
-0.005298839882016182,
0.0010745602194219828,
0.03865790739655495,
0.06677190959453583,
0.017931398004293442,
-0.010871191509068012,
-0.07137395441532135,
-0.051942817866802216,
-0.012599898502230644,
0.005868426524102688,
-0.002628159010782838,
0.1102493479847908,
0.06096167117357254,
0.08587438613176346,
-0.03881470113992691,
0.00891382060945034,
0.08341991156339645,
0.0074099949561059475,
-0.11347270011901855,
-0.037094056606292725,
-0.00888299010694027,
-0.01842118799686432,
-0.007818055339157581,
0.025492072105407715,
0.020789364352822304,
-0.05986485630273819,
0.08542324602603912,
0.08688361197710037,
0.0125464778393507,
0.03551379591226578,
-0.0787014365196228,
0.025976402685046196,
-0.0384511761367321,
-0.06155001372098923,
0.0926751121878624,
0.047576356679201126,
0.0061196438036859035,
-0.08691848814487457,
-0.033805251121520996,
0.05306599289178848,
-0.027156101539731026,
-0.02577121928334236,
0.018266133964061737,
0.01812673732638359,
-0.08059491962194443,
0.057779695838689804,
-0.00009257708006771281,
0.006072687916457653,
0.007678562309592962,
0.02168133854866028,
0.027896326035261154,
0.010530595667660236,
0.019802076742053032,
0.07794763147830963,
-0.008290976285934448,
-0.02094349078834057,
0.01238042488694191,
0.07384640723466873,
-0.038628801703453064,
-0.05009044334292412,
0.11700157821178436,
0.07204877585172653,
0.074251689016819,
-0.054689157754182816,
0.01613972708582878,
0.0029461716767400503,
-0.046193890273571014,
0.059545524418354034,
-0.05243407189846039,
0.030385451391339302,
-0.1439962089061737,
-4.6794220054380276e-8,
-0.044631388038396835,
0.029892565682530403,
0.08476673066616058,
-0.030136210843920708,
0.07514175027608871,
-0.011110863648355007,
-0.002827187767252326,
0.05900547653436661,
0.07565752416849136,
-0.04508189111948013,
0.0427747517824173,
0.019317371770739555,
-0.025259368121623993,
-0.03146994486451149,
-0.011505382135510445,
0.0614669993519783,
0.02135937660932541,
-0.024388639256358147,
-0.015486018732190132,
-0.0052151610143482685,
0.025973698124289513,
0.059501055628061295,
-0.001803699997253716,
0.0444282703101635,
0.07164837419986725,
0.0022457933519035578,
-0.010056816972792149,
0.04218822717666626,
0.0505170002579689,
0.047657959163188934,
0.0009560530888848007,
-0.029446283355355263,
-0.024409689009189606,
-0.005288562271744013,
-0.0334816612303257,
0.12008906900882721,
-0.044490572065114975,
-0.01569821685552597,
0.02649647742509842,
0.00016308789781760424,
-0.03274514898657799,
-0.0007990781450644135,
-0.059651948511600494,
0.058573633432388306,
0.03433061018586159,
-0.07256554067134857,
0.016813356429338455,
0.07041581720113754,
-0.011743234470486641,
0.013833402656018734,
-0.020376864820718765,
-0.008989681489765644,
-0.04716886207461357,
-0.03274621069431305,
0.03393160551786423,
-0.026545533910393715,
0.10690736025571823,
-0.026750817894935608,
-0.0199491735547781,
0.1003698781132698,
0.014024399220943451,
0.08172529935836792,
-0.06741567701101303,
0.04504554346203804
] | null | null | null | null | null | null | null | [
-0.045054517686367035,
-0.03491641581058502,
0.053641822189092636,
-0.02476566843688488,
0.055054135620594025,
-0.03849915415048599,
-0.02207518182694912,
-0.011429301463067532,
0.014965584501624107,
0.002739506773650646,
0.010051818564534187,
0.008832660503685474,
0.09761609882116318,
-0.00604971032589674,
-0.028971828520298004,
0.01499075535684824,
0.09579575061798096,
-0.019991429522633553,
-0.004867928102612495,
-0.030860183760523796,
-0.02990720234811306,
0.05218645930290222,
0.015696972608566284,
-0.11240500211715698,
0.08971912413835526,
0.0018543754704296589,
0.05782373994588852,
0.038402508944272995,
-0.0034069193061441183,
0.011788525618612766,
0.01920253597199917,
0.03432082012295723,
-0.023050352931022644,
-0.021243268623948097,
0.02682708017528057,
-0.07287542521953583,
-0.057186808437108994,
-0.042722780257463455,
-0.028045780956745148,
0.06325151771306992,
0.013537931255996227,
-0.015611548908054829,
0.014867322519421577,
0.10378733277320862,
-0.0707402303814888,
0.06456239521503448,
-0.04962935671210289,
0.09109299629926682,
0.006885901093482971,
-0.024061856791377068,
-0.022496696561574936,
-0.021335724741220474,
-0.032228682190179825,
0.05270757898688316,
0.027368349954485893,
-0.007031894288957119,
-0.03312820568680763,
0.03251216188073158,
0.05556832253932953,
0.0543358288705349,
0.01651809923350811,
-0.06319687515497208,
-0.05722659081220627,
0.018881088122725487,
0.046046216040849686,
0.06745053082704544,
-0.025102360174059868,
0.0787644311785698,
-0.003425643080845475,
0.06872063130140305,
-0.021701302379369736,
0.08883664757013321,
-0.034194428473711014,
0.07827120274305344,
0.028576070442795753,
0.008780097588896751,
0.03851623088121414,
-0.0035626196768134832,
-0.06443613022565842,
-0.03946627303957939,
-0.04731656610965729,
-0.09513170272111893,
-0.019552670419216156,
0.020451009273529053,
0.07377645373344421,
-0.08755908906459808,
-0.05198737233877182,
0.006888473406434059,
-0.017471114173531532,
-0.0002327474794583395,
-0.09215102344751358,
0.045107290148735046,
0.0323350727558136,
-0.045703258365392685,
-0.04392502084374428,
0.05051679536700249,
-0.04198899120092392,
-0.1062319278717041,
-0.0006124303326942027,
0.1268731951713562,
-0.019762082025408745,
0.023790352046489716,
0.0862385481595993,
-0.13661737740039825,
0.012020780704915524,
-0.03549502044916153,
0.035471972078084946,
0.07415301352739334,
0.08591337502002716,
-0.02173583023250103,
-0.034357182681560516,
-0.01591511443257332,
-0.028578506782650948,
-0.06669057905673981,
-0.024941731244325638,
-0.02271931990981102,
-0.021774375811219215,
0.07672283798456192,
-0.023950496688485146,
0.06742623448371887,
0.0020878652576357126,
-0.015533704310655594,
0.0046549951657652855,
-0.094477578997612,
-0.006490872707217932,
-0.01459314115345478,
-0.044337932020425797,
9.070652222569146e-35,
0.05089682340621948,
-0.006758884526789188,
0.05067726969718933,
0.10028276592493057,
-0.007603155914694071,
0.013197260908782482,
-0.04035349190235138,
0.004375093150883913,
0.04138629510998726,
-0.06408987939357758,
-0.019961003214120865,
0.09126865118741989,
-0.13776007294654846,
0.0033374165650457144,
0.12164927273988724,
-0.03405272960662842,
-0.012233207933604717,
0.04853323847055435,
0.04506600648164749,
-0.0017975697992369533,
0.03670582175254822,
-0.05071897432208061,
0.006330469157546759,
-0.049132004380226135,
0.05640468746423721,
-0.01387858483940363,
0.06285490095615387,
-0.026128802448511124,
0.009205520153045654,
-0.015019237995147705,
-0.08748140186071396,
0.017905451357364655,
0.030082646757364273,
0.04761030524969101,
0.014757140539586544,
0.015863290056586266,
0.0009073123801499605,
-0.08937174826860428,
0.0005378896603360772,
-0.022016305476427078,
-0.057630833238363266,
-0.025105394423007965,
-0.00876689050346613,
-0.003538767108693719,
-0.09566916525363922,
-0.10639353841543198,
-0.027076516300439835,
-0.06457778811454773,
0.03392431139945984,
-0.041448310017585754,
0.09146853536367416,
-0.07668628543615341,
0.03238007798790932,
0.007307892665266991,
-0.05838857591152191,
0.0027913327794522047,
0.02920178696513176,
-0.0030811582691967487,
0.024289794266223907,
0.037100452929735184,
0.09217654168605804,
0.030956896021962166,
-0.007842532359063625,
0.010724106803536415,
-0.0012209261767566204,
0.020614538341760635,
-0.0020311884582042694,
-0.006710726302117109,
0.027615156024694443,
-0.01603078655898571,
-0.01652641035616398,
-0.003095050808042288,
0.009129663929343224,
-0.02455994486808777,
0.07514587044715881,
0.08105100691318512,
-0.07068350166082382,
-0.022320138290524483,
-0.0720045417547226,
0.022781508043408394,
-0.04902253299951553,
-0.0615813285112381,
-0.013575591146945953,
0.02229185402393341,
0.013578495010733604,
0.04078320786356926,
0.05156926438212395,
-0.06271278858184814,
-0.08345647156238556,
0.08320914208889008,
-0.11634314060211182,
0.004667823202908039,
-0.00285940058529377,
-0.019611937925219536,
0.005688850302249193,
-9.835771737997906e-34,
-0.16623426973819733,
0.03897146135568619,
0.006046188995242119,
0.09137929230928421,
-0.00847835186868906,
-0.11508869379758835,
0.00306381075643003,
0.0022432829719036818,
-0.03207433223724365,
-0.06709234416484833,
-0.07855372875928879,
-0.003258210141211748,
0.009260175749659538,
-0.10500837862491608,
-0.011296475306153297,
-0.006889588199555874,
-0.03776981309056282,
-0.09420362859964371,
-0.0503559447824955,
-0.04432804509997368,
0.0158387478441,
0.0088838255032897,
-0.023852074518799782,
-0.0670534297823906,
-0.005298839882016182,
0.0010745602194219828,
0.03865790739655495,
0.06677190959453583,
0.017931398004293442,
-0.010871191509068012,
-0.07137395441532135,
-0.051942817866802216,
-0.012599898502230644,
0.005868426524102688,
-0.002628159010782838,
0.1102493479847908,
0.06096167117357254,
0.08587438613176346,
-0.03881470113992691,
0.00891382060945034,
0.08341991156339645,
0.0074099949561059475,
-0.11347270011901855,
-0.037094056606292725,
-0.00888299010694027,
-0.01842118799686432,
-0.007818055339157581,
0.025492072105407715,
0.020789364352822304,
-0.05986485630273819,
0.08542324602603912,
0.08688361197710037,
0.0125464778393507,
0.03551379591226578,
-0.0787014365196228,
0.025976402685046196,
-0.0384511761367321,
-0.06155001372098923,
0.0926751121878624,
0.047576356679201126,
0.0061196438036859035,
-0.08691848814487457,
-0.033805251121520996,
0.05306599289178848,
-0.027156101539731026,
-0.02577121928334236,
0.018266133964061737,
0.01812673732638359,
-0.08059491962194443,
0.057779695838689804,
-0.00009257708006771281,
0.006072687916457653,
0.007678562309592962,
0.02168133854866028,
0.027896326035261154,
0.010530595667660236,
0.019802076742053032,
0.07794763147830963,
-0.008290976285934448,
-0.02094349078834057,
0.01238042488694191,
0.07384640723466873,
-0.038628801703453064,
-0.05009044334292412,
0.11700157821178436,
0.07204877585172653,
0.074251689016819,
-0.054689157754182816,
0.01613972708582878,
0.0029461716767400503,
-0.046193890273571014,
0.059545524418354034,
-0.05243407189846039,
0.030385451391339302,
-0.1439962089061737,
-4.6794220054380276e-8,
-0.044631388038396835,
0.029892565682530403,
0.08476673066616058,
-0.030136210843920708,
0.07514175027608871,
-0.011110863648355007,
-0.002827187767252326,
0.05900547653436661,
0.07565752416849136,
-0.04508189111948013,
0.0427747517824173,
0.019317371770739555,
-0.025259368121623993,
-0.03146994486451149,
-0.011505382135510445,
0.0614669993519783,
0.02135937660932541,
-0.024388639256358147,
-0.015486018732190132,
-0.0052151610143482685,
0.025973698124289513,
0.059501055628061295,
-0.001803699997253716,
0.0444282703101635,
0.07164837419986725,
0.0022457933519035578,
-0.010056816972792149,
0.04218822717666626,
0.0505170002579689,
0.047657959163188934,
0.0009560530888848007,
-0.029446283355355263,
-0.024409689009189606,
-0.005288562271744013,
-0.0334816612303257,
0.12008906900882721,
-0.044490572065114975,
-0.01569821685552597,
0.02649647742509842,
0.00016308789781760424,
-0.03274514898657799,
-0.0007990781450644135,
-0.059651948511600494,
0.058573633432388306,
0.03433061018586159,
-0.07256554067134857,
0.016813356429338455,
0.07041581720113754,
-0.011743234470486641,
0.013833402656018734,
-0.020376864820718765,
-0.008989681489765644,
-0.04716886207461357,
-0.03274621069431305,
0.03393160551786423,
-0.026545533910393715,
0.10690736025571823,
-0.026750817894935608,
-0.0199491735547781,
0.1003698781132698,
0.014024399220943451,
0.08172529935836792,
-0.06741567701101303,
0.04504554346203804
] |
1401.1434 | Stefan K\"onig | Stefan K\"onig | Computational Aspects of the Hausdorff Distance in Unbounded Dimension | null | null | null | null | cs.CG cs.CC math.MG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the computational complexity of determining the Hausdorff distance
of two polytopes given in halfspace- or vertex-presentation in arbitrary
dimension. Subsequently, a matching problem is investigated where a convex body
is allowed to be homothetically transformed in order to minimize its Hausdorff
distance to another one. For this problem, we characterize optimal solutions,
deduce a Helly-type theorem and give polynomial time (approximation) algorithms
for polytopes.
| [
{
"created": "Tue, 7 Jan 2014 16:37:02 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"König",
"Stefan",
""
]
] | [
0.018498195335268974,
0.08793210983276367,
-0.013803094625473022,
-0.08178450167179108,
-0.028885768726468086,
0.00873041246086359,
0.01877027563750744,
-0.0001099794972105883,
0.006088723428547382,
0.031108001247048378,
-0.09086859971284866,
-0.010894233360886574,
-0.017603063955903053,
0.025330163538455963,
-0.03739631548523903,
-0.01209369394928217,
0.07941366732120514,
0.0006439987337216735,
-0.020539874210953712,
0.0724070742726326,
0.06646595895290375,
-0.033722516149282455,
-0.04758438840508461,
0.024997759610414505,
0.016895869746804237,
-0.039089806377887726,
-0.030393125489354134,
0.0140002416446805,
-0.025394724681973457,
0.055370114743709564,
-0.02454465627670288,
-0.020310254767537117,
-0.010683955624699593,
-0.04044099152088165,
0.01657162606716156,
0.030944153666496277,
-0.042956795543432236,
0.0566074438393116,
-0.013591259717941284,
-0.021047906950116158,
0.05827505141496658,
0.0455876961350441,
-0.006719714030623436,
0.030652033165097237,
-0.010069222189486027,
0.011340330354869366,
-0.08858486264944077,
0.034088119864463806,
-0.03493889793753624,
-0.12104486674070358,
-0.03021409921348095,
-0.044370610266923904,
-0.047731317579746246,
-0.03753984719514847,
-0.01358109712600708,
-0.007061608601361513,
-0.024309935048222542,
-0.01402735523879528,
0.06988661736249924,
0.0027949921786785126,
0.06787220388650894,
-0.038950640708208084,
0.0250510573387146,
0.02153041958808899,
0.004180248826742172,
-0.06854800134897232,
0.029140781611204147,
-0.00528848497197032,
-0.07691320776939392,
0.1025724858045578,
-0.03794574365019798,
0.0359000638127327,
-0.1301000416278839,
0.014374458231031895,
0.060791220515966415,
-0.11916527897119522,
0.03756611421704292,
0.018060792237520218,
-0.03776015341281891,
-0.019688008353114128,
-0.0085532171651721,
0.00821021106094122,
0.0243684109300375,
0.07421165704727173,
-0.019406555220484734,
0.007700030691921711,
-0.1085568219423294,
0.05000597611069679,
-0.007712575141340494,
-0.03627510368824005,
-0.02381172403693199,
-0.00886126235127449,
-0.048752158880233765,
-0.048820458352565765,
-0.03132674843072891,
-0.10736978054046631,
-0.04583267122507095,
0.06684838235378265,
0.11185958236455917,
0.052765052765607834,
-0.07305321097373962,
-0.03376973792910576,
0.027333850041031837,
-0.04830672964453697,
0.041086215525865555,
0.07975402474403381,
-0.07954771816730499,
-0.0005945125594735146,
0.06074180081486702,
-0.08486875891685486,
0.04669803008437157,
-0.045756995677948,
0.033852726221084595,
0.05280971899628639,
0.005667669698596001,
-0.011563788168132305,
0.05542028322815895,
-0.025774002075195312,
0.07142999023199081,
0.0059562609530985355,
-0.041596461087465286,
-0.02596968039870262,
0.07494509965181351,
0.0006152651621960104,
-0.029614344239234924,
0.0024062148295342922,
-0.029301723465323448,
1.3422884585028274e-33,
-0.06534426659345627,
0.0005811521550640464,
0.04347539320588112,
-0.030243750661611557,
0.027799397706985474,
-0.003304684069007635,
0.05699872970581055,
-0.019624978303909302,
0.07986381649971008,
0.04805034026503563,
-0.08328443765640259,
-0.005487929098308086,
0.03168021887540817,
-0.0365116111934185,
0.050106875598430634,
0.01131453923881054,
0.06257522851228714,
0.06138996034860611,
-0.08051581680774689,
-0.05225939676165581,
-0.011051398701965809,
-0.025077123194932938,
-0.010639033280313015,
-0.011062126606702805,
-0.005368518177419901,
-0.08020683377981186,
-0.023533226922154427,
-0.06772428005933762,
0.025282226502895355,
-0.031188156455755234,
-0.07526269555091858,
0.030862247571349144,
0.06416651606559753,
0.06490060687065125,
0.03810568153858185,
-0.009108103811740875,
0.027008414268493652,
-0.03152305260300636,
-0.02275337278842926,
-0.02612663432955742,
-0.029837461188435555,
0.024722082540392876,
0.015084006823599339,
-0.008181655779480934,
0.04331883043050766,
0.015706844627857208,
0.031062839552760124,
0.07399246841669083,
0.0039045503363013268,
0.0047343019396066666,
0.020375758409500122,
0.07294777780771255,
-0.06509489566087723,
-0.016307663172483444,
-0.03900345042347908,
-0.00851579662412405,
-0.03529515862464905,
-0.03688076138496399,
0.08903529495000839,
0.1763858199119568,
0.0012323083356022835,
-0.03664608299732208,
0.021953517571091652,
-0.03887553885579109,
-0.0005644435295835137,
0.00019408743537496775,
0.021719008684158325,
-0.10837758332490921,
0.0737210139632225,
-0.016198284924030304,
-0.028787052258849144,
-0.04999610409140587,
0.001921655610203743,
-0.10367779433727264,
0.13218554854393005,
-0.05254419520497322,
-0.036160893738269806,
-0.03556761145591736,
-0.05843247100710869,
-0.0300675667822361,
0.010772714391350746,
-0.022594843059778214,
0.004145029466599226,
-0.12865020334720612,
-0.039021629840135574,
-0.07540982961654663,
0.06082555651664734,
0.02970731444656849,
-0.043262362480163574,
0.02404051274061203,
-0.0422065295279026,
-0.007084172684699297,
0.0075630671344697475,
0.04332269728183746,
0.07930479198694229,
-1.9706141580818373e-33,
-0.023024635389447212,
-0.09043099731206894,
0.02473362721502781,
0.036558929830789566,
0.02043592929840088,
-0.016576696187257767,
-0.03406916558742523,
-0.07300834357738495,
-0.041212569922208786,
0.03723930940032005,
0.023175327107310295,
-0.0197743009775877,
0.047067344188690186,
-0.050705600529909134,
-0.06423132121562958,
0.03278356045484543,
0.055666979402303696,
-0.03146025538444519,
-0.0397699773311615,
0.0002620278100948781,
0.0701121836900711,
0.014545907266438007,
-0.05340900644659996,
0.015675313770771027,
-0.019347937777638435,
0.00740120280534029,
-0.010352511890232563,
-0.03491172939538956,
-0.004409673158079386,
0.07201458513736725,
-0.08242256194353104,
-0.06669987738132477,
-0.11179796606302261,
0.03504006192088127,
-0.009831023402512074,
-0.025446848943829536,
-0.057576075196266174,
0.09086699783802032,
0.015186605975031853,
0.06512098014354706,
-0.000952631700783968,
0.005236957687884569,
-0.017277425155043602,
0.11149657517671585,
0.04382463917136192,
0.038304321467876434,
-0.0548274926841259,
-0.010597351007163525,
-0.011353745125234127,
-0.019493814557790756,
-0.034897711127996445,
0.01748892292380333,
0.08375079929828644,
-0.032799310982227325,
-0.010988765396177769,
-0.01518318336457014,
-0.11957025527954102,
0.08467663824558258,
0.010072560049593449,
-0.05614859238266945,
0.04423361271619797,
-0.06322573125362396,
-0.0025514184962958097,
0.16671082377433777,
0.07832885533571243,
0.007489074021577835,
0.03820483013987541,
-0.009766830131411552,
-0.054146863520145416,
0.10570710897445679,
-0.010375184006989002,
0.022603021934628487,
-0.02398591861128807,
-0.003484359011054039,
-0.005529456771910191,
0.006692252121865749,
0.09185004234313965,
0.02632768079638481,
-0.008931051939725876,
0.0567375086247921,
-0.02476605772972107,
0.04514440894126892,
0.04951978102326393,
-0.04009425640106201,
0.012853153049945831,
-0.029423778876662254,
0.06116035580635071,
0.011596621945500374,
-0.04255082085728645,
0.018161138519644737,
0.010953729972243309,
-0.006462799850851297,
0.0715591311454773,
-0.07711902260780334,
-0.031245170161128044,
-3.4943223425898395e-8,
-0.030239664018154144,
-0.09868281334638596,
-0.028727294877171516,
-0.05513966828584671,
-0.00502206664532423,
-0.03654985502362251,
0.08773194998502731,
0.044742751866579056,
-0.10395033657550812,
0.038391709327697754,
-0.020572802051901817,
0.06247348710894585,
0.05239759013056755,
0.06356815248727798,
-0.05804876983165741,
0.00695392768830061,
0.0023873939644545317,
-0.020462945103645325,
0.0362008698284626,
-0.016912449151277542,
-0.11248734593391418,
0.021644366905093193,
0.029179932549595833,
0.07562669366598129,
-0.04129327833652496,
-0.014796334318816662,
0.030064279213547707,
-0.021805156022310257,
0.07998435944318771,
0.040205974131822586,
-0.04043707624077797,
0.02363901026546955,
0.0704931691288948,
0.027981607243418694,
0.10443763434886932,
0.005437508225440979,
-0.04978339001536369,
0.040521666407585144,
-0.01865464821457863,
0.0020092895720154047,
-0.02249620482325554,
0.056517522782087326,
0.05344149470329285,
-0.04380706325173378,
0.1425064504146576,
0.037017788738012314,
0.12228965014219284,
0.03368765860795975,
-0.03163368999958038,
-0.007468467578291893,
0.08998071402311325,
-0.010420972481369972,
-0.05121235549449921,
-0.09525509178638458,
-0.02046487107872963,
0.0661940723657608,
-0.0014435291523113847,
-0.05679551884531975,
0.08645424246788025,
-0.005926319397985935,
0.0069495742209255695,
0.07533621788024902,
0.06309275329113007,
-0.027335738763213158
] | null | null | null | null | null | null | null | [
0.018498195335268974,
0.08793210983276367,
-0.013803094625473022,
-0.08178450167179108,
-0.028885768726468086,
0.00873041246086359,
0.01877027563750744,
-0.0001099794972105883,
0.006088723428547382,
0.031108001247048378,
-0.09086859971284866,
-0.010894233360886574,
-0.017603063955903053,
0.025330163538455963,
-0.03739631548523903,
-0.01209369394928217,
0.07941366732120514,
0.0006439987337216735,
-0.020539874210953712,
0.0724070742726326,
0.06646595895290375,
-0.033722516149282455,
-0.04758438840508461,
0.024997759610414505,
0.016895869746804237,
-0.039089806377887726,
-0.030393125489354134,
0.0140002416446805,
-0.025394724681973457,
0.055370114743709564,
-0.02454465627670288,
-0.020310254767537117,
-0.010683955624699593,
-0.04044099152088165,
0.01657162606716156,
0.030944153666496277,
-0.042956795543432236,
0.0566074438393116,
-0.013591259717941284,
-0.021047906950116158,
0.05827505141496658,
0.0455876961350441,
-0.006719714030623436,
0.030652033165097237,
-0.010069222189486027,
0.011340330354869366,
-0.08858486264944077,
0.034088119864463806,
-0.03493889793753624,
-0.12104486674070358,
-0.03021409921348095,
-0.044370610266923904,
-0.047731317579746246,
-0.03753984719514847,
-0.01358109712600708,
-0.007061608601361513,
-0.024309935048222542,
-0.01402735523879528,
0.06988661736249924,
0.0027949921786785126,
0.06787220388650894,
-0.038950640708208084,
0.0250510573387146,
0.02153041958808899,
0.004180248826742172,
-0.06854800134897232,
0.029140781611204147,
-0.00528848497197032,
-0.07691320776939392,
0.1025724858045578,
-0.03794574365019798,
0.0359000638127327,
-0.1301000416278839,
0.014374458231031895,
0.060791220515966415,
-0.11916527897119522,
0.03756611421704292,
0.018060792237520218,
-0.03776015341281891,
-0.019688008353114128,
-0.0085532171651721,
0.00821021106094122,
0.0243684109300375,
0.07421165704727173,
-0.019406555220484734,
0.007700030691921711,
-0.1085568219423294,
0.05000597611069679,
-0.007712575141340494,
-0.03627510368824005,
-0.02381172403693199,
-0.00886126235127449,
-0.048752158880233765,
-0.048820458352565765,
-0.03132674843072891,
-0.10736978054046631,
-0.04583267122507095,
0.06684838235378265,
0.11185958236455917,
0.052765052765607834,
-0.07305321097373962,
-0.03376973792910576,
0.027333850041031837,
-0.04830672964453697,
0.041086215525865555,
0.07975402474403381,
-0.07954771816730499,
-0.0005945125594735146,
0.06074180081486702,
-0.08486875891685486,
0.04669803008437157,
-0.045756995677948,
0.033852726221084595,
0.05280971899628639,
0.005667669698596001,
-0.011563788168132305,
0.05542028322815895,
-0.025774002075195312,
0.07142999023199081,
0.0059562609530985355,
-0.041596461087465286,
-0.02596968039870262,
0.07494509965181351,
0.0006152651621960104,
-0.029614344239234924,
0.0024062148295342922,
-0.029301723465323448,
1.3422884585028274e-33,
-0.06534426659345627,
0.0005811521550640464,
0.04347539320588112,
-0.030243750661611557,
0.027799397706985474,
-0.003304684069007635,
0.05699872970581055,
-0.019624978303909302,
0.07986381649971008,
0.04805034026503563,
-0.08328443765640259,
-0.005487929098308086,
0.03168021887540817,
-0.0365116111934185,
0.050106875598430634,
0.01131453923881054,
0.06257522851228714,
0.06138996034860611,
-0.08051581680774689,
-0.05225939676165581,
-0.011051398701965809,
-0.025077123194932938,
-0.010639033280313015,
-0.011062126606702805,
-0.005368518177419901,
-0.08020683377981186,
-0.023533226922154427,
-0.06772428005933762,
0.025282226502895355,
-0.031188156455755234,
-0.07526269555091858,
0.030862247571349144,
0.06416651606559753,
0.06490060687065125,
0.03810568153858185,
-0.009108103811740875,
0.027008414268493652,
-0.03152305260300636,
-0.02275337278842926,
-0.02612663432955742,
-0.029837461188435555,
0.024722082540392876,
0.015084006823599339,
-0.008181655779480934,
0.04331883043050766,
0.015706844627857208,
0.031062839552760124,
0.07399246841669083,
0.0039045503363013268,
0.0047343019396066666,
0.020375758409500122,
0.07294777780771255,
-0.06509489566087723,
-0.016307663172483444,
-0.03900345042347908,
-0.00851579662412405,
-0.03529515862464905,
-0.03688076138496399,
0.08903529495000839,
0.1763858199119568,
0.0012323083356022835,
-0.03664608299732208,
0.021953517571091652,
-0.03887553885579109,
-0.0005644435295835137,
0.00019408743537496775,
0.021719008684158325,
-0.10837758332490921,
0.0737210139632225,
-0.016198284924030304,
-0.028787052258849144,
-0.04999610409140587,
0.001921655610203743,
-0.10367779433727264,
0.13218554854393005,
-0.05254419520497322,
-0.036160893738269806,
-0.03556761145591736,
-0.05843247100710869,
-0.0300675667822361,
0.010772714391350746,
-0.022594843059778214,
0.004145029466599226,
-0.12865020334720612,
-0.039021629840135574,
-0.07540982961654663,
0.06082555651664734,
0.02970731444656849,
-0.043262362480163574,
0.02404051274061203,
-0.0422065295279026,
-0.007084172684699297,
0.0075630671344697475,
0.04332269728183746,
0.07930479198694229,
-1.9706141580818373e-33,
-0.023024635389447212,
-0.09043099731206894,
0.02473362721502781,
0.036558929830789566,
0.02043592929840088,
-0.016576696187257767,
-0.03406916558742523,
-0.07300834357738495,
-0.041212569922208786,
0.03723930940032005,
0.023175327107310295,
-0.0197743009775877,
0.047067344188690186,
-0.050705600529909134,
-0.06423132121562958,
0.03278356045484543,
0.055666979402303696,
-0.03146025538444519,
-0.0397699773311615,
0.0002620278100948781,
0.0701121836900711,
0.014545907266438007,
-0.05340900644659996,
0.015675313770771027,
-0.019347937777638435,
0.00740120280534029,
-0.010352511890232563,
-0.03491172939538956,
-0.004409673158079386,
0.07201458513736725,
-0.08242256194353104,
-0.06669987738132477,
-0.11179796606302261,
0.03504006192088127,
-0.009831023402512074,
-0.025446848943829536,
-0.057576075196266174,
0.09086699783802032,
0.015186605975031853,
0.06512098014354706,
-0.000952631700783968,
0.005236957687884569,
-0.017277425155043602,
0.11149657517671585,
0.04382463917136192,
0.038304321467876434,
-0.0548274926841259,
-0.010597351007163525,
-0.011353745125234127,
-0.019493814557790756,
-0.034897711127996445,
0.01748892292380333,
0.08375079929828644,
-0.032799310982227325,
-0.010988765396177769,
-0.01518318336457014,
-0.11957025527954102,
0.08467663824558258,
0.010072560049593449,
-0.05614859238266945,
0.04423361271619797,
-0.06322573125362396,
-0.0025514184962958097,
0.16671082377433777,
0.07832885533571243,
0.007489074021577835,
0.03820483013987541,
-0.009766830131411552,
-0.054146863520145416,
0.10570710897445679,
-0.010375184006989002,
0.022603021934628487,
-0.02398591861128807,
-0.003484359011054039,
-0.005529456771910191,
0.006692252121865749,
0.09185004234313965,
0.02632768079638481,
-0.008931051939725876,
0.0567375086247921,
-0.02476605772972107,
0.04514440894126892,
0.04951978102326393,
-0.04009425640106201,
0.012853153049945831,
-0.029423778876662254,
0.06116035580635071,
0.011596621945500374,
-0.04255082085728645,
0.018161138519644737,
0.010953729972243309,
-0.006462799850851297,
0.0715591311454773,
-0.07711902260780334,
-0.031245170161128044,
-3.4943223425898395e-8,
-0.030239664018154144,
-0.09868281334638596,
-0.028727294877171516,
-0.05513966828584671,
-0.00502206664532423,
-0.03654985502362251,
0.08773194998502731,
0.044742751866579056,
-0.10395033657550812,
0.038391709327697754,
-0.020572802051901817,
0.06247348710894585,
0.05239759013056755,
0.06356815248727798,
-0.05804876983165741,
0.00695392768830061,
0.0023873939644545317,
-0.020462945103645325,
0.0362008698284626,
-0.016912449151277542,
-0.11248734593391418,
0.021644366905093193,
0.029179932549595833,
0.07562669366598129,
-0.04129327833652496,
-0.014796334318816662,
0.030064279213547707,
-0.021805156022310257,
0.07998435944318771,
0.040205974131822586,
-0.04043707624077797,
0.02363901026546955,
0.0704931691288948,
0.027981607243418694,
0.10443763434886932,
0.005437508225440979,
-0.04978339001536369,
0.040521666407585144,
-0.01865464821457863,
0.0020092895720154047,
-0.02249620482325554,
0.056517522782087326,
0.05344149470329285,
-0.04380706325173378,
0.1425064504146576,
0.037017788738012314,
0.12228965014219284,
0.03368765860795975,
-0.03163368999958038,
-0.007468467578291893,
0.08998071402311325,
-0.010420972481369972,
-0.05121235549449921,
-0.09525509178638458,
-0.02046487107872963,
0.0661940723657608,
-0.0014435291523113847,
-0.05679551884531975,
0.08645424246788025,
-0.005926319397985935,
0.0069495742209255695,
0.07533621788024902,
0.06309275329113007,
-0.027335738763213158
] |
1401.1448 | Denis Kuperberg | Denis Kuperberg | Linear Temporal Logic for Regular Cost Functions | 37 pages, 13 figures, accepted to LMCS, updated version 08/02/2017 | Logical Methods in Computer Science, Volume 10, Issue 1 (February
4, 2014) lmcs:1222 | 10.2168/LMCS-10(1:4)2014 | null | cs.LO cs.FL | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Regular cost functions have been introduced recently as an extension to the
notion of regular languages with counting capabilities, which retains strong
closure, equivalence, and decidability properties. The specificity of cost
functions is that exact values are not considered, but only estimated. In this
paper, we define an extension of Linear Temporal Logic (LTL) over finite words
to describe cost functions. We give an explicit translation from this new logic
to two dual form of cost automata, and we show that the natural decision
problems for this logic are PSPACE-complete, as it is the case in the classical
setting. We then algebraically characterize the expressive power of this logic,
using a new syntactic congruence for cost functions introduced in this paper.
| [
{
"created": "Tue, 7 Jan 2014 17:24:18 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 2014 22:02:49 GMT",
"version": "v2"
},
{
"created": "Thu, 8 May 2014 16:06:09 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Feb 2017 16:35:41 GMT",
"version": "v4"
},
{
"created": "Wed, 8 Feb 2017 12:52:42 GMT",
"version": "v5"
}
] | 2017-02-09 | [
[
"Kuperberg",
"Denis",
""
]
] | [
-0.017650730907917023,
0.04790432006120682,
0.023306403309106827,
-0.017885737121105194,
0.0045517501421272755,
0.048804666846990585,
0.07525893300771713,
0.0011907159350812435,
0.06495925039052963,
0.03059178590774536,
0.015834534540772438,
-0.07311354577541351,
0.013721217401325703,
0.09422194212675095,
0.03576848283410072,
-0.05752331390976906,
-0.08304063230752945,
-0.029035789892077446,
-0.06548696756362915,
-0.005419543012976646,
0.06973955035209656,
0.01194419339299202,
-0.0896182507276535,
-0.005107774864882231,
0.03292395547032356,
0.012513481080532074,
-0.04215336591005325,
-0.06391153484582901,
0.1054278016090393,
0.05097915604710579,
-0.05412554368376732,
0.014212786220014095,
0.03568026423454285,
0.0006291798199526966,
0.05885325372219086,
0.009136173874139786,
0.0043363021686673164,
-0.03305850923061371,
-0.03974190354347229,
0.030321775004267693,
-0.06556136161088943,
-0.0463634617626667,
-0.05685139447450638,
0.016272665932774544,
-0.031810760498046875,
0.030032971873879433,
0.05822061374783516,
-0.009020108729600906,
-0.05592747777700424,
0.03721160441637039,
0.012900280766189098,
0.007675647735595703,
-0.07531682401895523,
-0.005490562878549099,
0.019995391368865967,
0.004049078095704317,
-0.006048312410712242,
-0.06206803023815155,
-0.06562291085720062,
-0.06987274438142776,
-0.08714207261800766,
-0.034912291914224625,
-0.07668554037809372,
-0.01894882135093212,
0.012561553157866001,
-0.003147474955767393,
-0.06725800037384033,
-0.0038964860141277313,
0.057820841670036316,
0.08912108838558197,
-0.04798462986946106,
0.03990767151117325,
-0.00323561392724514,
0.02358873561024666,
-0.02904277667403221,
0.01017027534544468,
0.04787826165556908,
-0.06858034431934357,
0.008854678831994534,
0.0054621160961687565,
-0.02221815474331379,
-0.03377788886427879,
-0.010599047876894474,
0.017113851383328438,
0.06869605928659439,
0.018631381914019585,
-0.02241416648030281,
0.011467673815786839,
0.07115952670574188,
-0.001817257609218359,
-0.0034821508452296257,
-0.00449147867038846,
0.041480839252471924,
0.04368613660335541,
-0.06474229693412781,
-0.0035223602317273617,
-0.05688466504216194,
-0.04702352359890938,
0.03834807500243187,
0.0802835077047348,
-0.06595281511545181,
0.06866711378097534,
0.019147709012031555,
-0.033677879720926285,
0.012257848866283894,
0.05707218497991562,
-0.09021850675344467,
-0.018299097195267677,
-0.01902107708156109,
-0.04739707335829735,
0.000009065219273907132,
-0.016839662566781044,
0.06998162716627121,
-0.013750403188169003,
-0.03252449259161949,
0.033386968076229095,
-0.03745994344353676,
-0.0823528915643692,
0.11429759114980698,
-0.05872219428420067,
0.019556034356355667,
-0.01907365769147873,
0.005195051897317171,
0.0422632098197937,
0.04954477399587631,
-0.0822717621922493,
0.06153900548815727,
-5.878681686773319e-34,
0.008409814909100533,
0.04381018877029419,
-0.05587320774793625,
-0.013448185287415981,
0.013355350121855736,
0.003570638597011566,
0.0551636666059494,
-0.020580891519784927,
-0.03937879949808121,
0.03161058574914932,
-0.007273928727954626,
0.11257246136665344,
-0.04043867811560631,
0.01956203393638134,
0.10053195804357529,
0.03178030997514725,
0.11884555965662003,
0.035432685166597366,
0.05917753279209137,
-0.0690968930721283,
0.07099839299917221,
0.020407721400260925,
0.012996649369597435,
-0.026011845096945763,
-0.004148426000028849,
-0.041093114763498306,
0.016547130420804024,
-0.04085858538746834,
0.059413377195596695,
-0.004383314400911331,
-0.03930442035198212,
-0.01580134779214859,
0.05787808448076248,
0.08749261498451233,
0.002547826152294874,
-0.020531663671135902,
-0.006117488257586956,
-0.046321652829647064,
-0.0023047197610139847,
-0.022735701873898506,
0.014695607125759125,
0.04589468985795975,
-0.018772702664136887,
0.03477935492992401,
0.02902016043663025,
-0.08601786941289902,
-0.04181460291147232,
0.05598471313714981,
-0.04895376041531563,
-0.03496004641056061,
0.0841999277472496,
-0.008861362002789974,
-0.04567855969071388,
-0.015891464427113533,
-0.00042904942529276013,
-0.009459362365305424,
-0.03562149405479431,
0.03923320397734642,
0.0024744172114878893,
0.15567412972450256,
-0.012681693769991398,
0.012538373470306396,
0.03651338070631027,
0.001050725462846458,
-0.03987867012619972,
0.04767598956823349,
-0.07121666520833969,
-0.04674074426293373,
0.17147000133991241,
0.02087942697107792,
-0.03853877633810043,
-0.002276916056871414,
0.02052818052470684,
-0.004612569231539965,
0.08850757777690887,
-0.026721861213445663,
0.04636320471763611,
-0.15455535054206848,
0.015459283255040646,
0.05221640691161156,
-0.04188873991370201,
0.06104346364736557,
-0.012230249121785164,
0.06584706157445908,
0.0889275074005127,
-0.1063595786690712,
-0.004939958918839693,
-0.02586493454873562,
-0.014353682287037373,
-0.07641107589006424,
-0.08308371156454086,
-0.010550839826464653,
0.022141851484775543,
-0.02420016936957836,
0.029335355386137962,
-1.2698551394536312e-33,
0.02422196790575981,
-0.06593625247478485,
-0.03132536634802818,
0.04183590039610863,
-0.028423571959137917,
-0.0926714614033699,
-0.07028917968273163,
0.006925624795258045,
0.07098322361707687,
-0.0050253733061254025,
-0.0061305221170187,
-0.004815767053514719,
0.09179241210222244,
0.0738648772239685,
0.003719257889315486,
-0.04672381654381752,
0.043676164001226425,
-0.05981422960758209,
-0.03499806299805641,
0.094957135617733,
0.006814765278249979,
0.11129274219274521,
-0.08006596565246582,
0.008464697748422623,
0.034588467329740524,
0.04277362301945686,
-0.08937592059373856,
0.07724454253911972,
0.015047035180032253,
0.07438729703426361,
-0.0077481041662395,
-0.10934384167194366,
-0.03247126191854477,
-0.06219485402107239,
-0.013955353759229183,
-0.07894125580787659,
0.021445348858833313,
0.0744229406118393,
-0.019853372126817703,
-0.015774501487612724,
0.009831089526414871,
-0.05649999529123306,
0.050408728420734406,
-0.06966827064752579,
-0.018398035317659378,
0.0019546239636838436,
-0.05090855807065964,
-0.110100656747818,
-0.004506041295826435,
-0.09713444858789444,
0.05257420614361763,
-0.025659289211034775,
-0.018629323691129684,
0.0372992604970932,
-0.028245611116290092,
0.005823904182761908,
-0.022106146439909935,
-0.0067105465568602085,
0.011012678034603596,
0.023589543998241425,
0.002908615628257394,
0.0317172110080719,
0.07678389549255371,
0.018759900704026222,
0.04459301754832268,
-0.012623795308172703,
-0.018331315368413925,
-0.08547022938728333,
0.020339354872703552,
-0.06200764328241348,
0.018836598843336105,
0.0460352897644043,
-0.09739639610052109,
0.06568658351898193,
-0.029859378933906555,
0.011182001791894436,
0.03778419643640518,
0.025665897876024246,
0.09602692723274231,
0.05543335899710655,
-0.02773607149720192,
-0.017785191535949707,
0.0242934413254261,
0.008051485754549503,
-0.12014098465442657,
-0.017507825046777725,
0.02142784558236599,
0.04000421240925789,
0.03088519163429737,
-0.000909683876670897,
0.048795491456985474,
-0.004486342892050743,
0.05401993915438652,
0.04933815822005272,
0.017461301758885384,
-4.223426230964833e-8,
-0.07165548205375671,
0.026112819090485573,
-0.0037270088214427233,
0.006937618367373943,
0.046467069536447525,
-0.09796358644962311,
-0.03771628066897392,
-0.03761919215321541,
0.05879639834165573,
-0.03403257206082344,
0.08696866780519485,
0.07362785190343857,
0.029524896293878555,
-0.061146993190050125,
-0.12602953612804413,
0.06469781696796417,
0.04104222357273102,
-0.016112959012389183,
-0.015118902549147606,
0.0589572973549366,
-0.009998722933232784,
0.03459734469652176,
-0.016883648931980133,
-0.0008152569062076509,
-0.042180296033620834,
-0.03300824388861656,
0.012141706421971321,
0.06366333365440369,
0.0002710898988880217,
0.09872138500213623,
0.04879240691661835,
0.013882420025765896,
0.05815112218260765,
0.022390980273485184,
0.02123142220079899,
0.006758581846952438,
-0.054244015365839005,
-0.033819228410720825,
-0.029862908646464348,
-0.013693287037312984,
0.07719186693429947,
0.010942175053060055,
-0.10215147584676743,
0.045602064579725266,
0.0949234738945961,
-0.08227985352277756,
-0.030647266656160355,
-0.14648626744747162,
-0.07730494439601898,
-0.06541020423173904,
0.06145806610584259,
0.062085770070552826,
-0.001832344918511808,
-0.013508967123925686,
-0.051159609109163284,
0.03974590450525284,
-0.03431474044919014,
-0.035441506654024124,
-0.06560014933347702,
-0.012915000319480896,
-0.008339276537299156,
0.010032819584012032,
0.05911983549594879,
-0.0062816692516207695
] | null | null | null | null | null | null | null | [
-0.017650730907917023,
0.04790432006120682,
0.023306403309106827,
-0.017885737121105194,
0.0045517501421272755,
0.048804666846990585,
0.07525893300771713,
0.0011907159350812435,
0.06495925039052963,
0.03059178590774536,
0.015834534540772438,
-0.07311354577541351,
0.013721217401325703,
0.09422194212675095,
0.03576848283410072,
-0.05752331390976906,
-0.08304063230752945,
-0.029035789892077446,
-0.06548696756362915,
-0.005419543012976646,
0.06973955035209656,
0.01194419339299202,
-0.0896182507276535,
-0.005107774864882231,
0.03292395547032356,
0.012513481080532074,
-0.04215336591005325,
-0.06391153484582901,
0.1054278016090393,
0.05097915604710579,
-0.05412554368376732,
0.014212786220014095,
0.03568026423454285,
0.0006291798199526966,
0.05885325372219086,
0.009136173874139786,
0.0043363021686673164,
-0.03305850923061371,
-0.03974190354347229,
0.030321775004267693,
-0.06556136161088943,
-0.0463634617626667,
-0.05685139447450638,
0.016272665932774544,
-0.031810760498046875,
0.030032971873879433,
0.05822061374783516,
-0.009020108729600906,
-0.05592747777700424,
0.03721160441637039,
0.012900280766189098,
0.007675647735595703,
-0.07531682401895523,
-0.005490562878549099,
0.019995391368865967,
0.004049078095704317,
-0.006048312410712242,
-0.06206803023815155,
-0.06562291085720062,
-0.06987274438142776,
-0.08714207261800766,
-0.034912291914224625,
-0.07668554037809372,
-0.01894882135093212,
0.012561553157866001,
-0.003147474955767393,
-0.06725800037384033,
-0.0038964860141277313,
0.057820841670036316,
0.08912108838558197,
-0.04798462986946106,
0.03990767151117325,
-0.00323561392724514,
0.02358873561024666,
-0.02904277667403221,
0.01017027534544468,
0.04787826165556908,
-0.06858034431934357,
0.008854678831994534,
0.0054621160961687565,
-0.02221815474331379,
-0.03377788886427879,
-0.010599047876894474,
0.017113851383328438,
0.06869605928659439,
0.018631381914019585,
-0.02241416648030281,
0.011467673815786839,
0.07115952670574188,
-0.001817257609218359,
-0.0034821508452296257,
-0.00449147867038846,
0.041480839252471924,
0.04368613660335541,
-0.06474229693412781,
-0.0035223602317273617,
-0.05688466504216194,
-0.04702352359890938,
0.03834807500243187,
0.0802835077047348,
-0.06595281511545181,
0.06866711378097534,
0.019147709012031555,
-0.033677879720926285,
0.012257848866283894,
0.05707218497991562,
-0.09021850675344467,
-0.018299097195267677,
-0.01902107708156109,
-0.04739707335829735,
0.000009065219273907132,
-0.016839662566781044,
0.06998162716627121,
-0.013750403188169003,
-0.03252449259161949,
0.033386968076229095,
-0.03745994344353676,
-0.0823528915643692,
0.11429759114980698,
-0.05872219428420067,
0.019556034356355667,
-0.01907365769147873,
0.005195051897317171,
0.0422632098197937,
0.04954477399587631,
-0.0822717621922493,
0.06153900548815727,
-5.878681686773319e-34,
0.008409814909100533,
0.04381018877029419,
-0.05587320774793625,
-0.013448185287415981,
0.013355350121855736,
0.003570638597011566,
0.0551636666059494,
-0.020580891519784927,
-0.03937879949808121,
0.03161058574914932,
-0.007273928727954626,
0.11257246136665344,
-0.04043867811560631,
0.01956203393638134,
0.10053195804357529,
0.03178030997514725,
0.11884555965662003,
0.035432685166597366,
0.05917753279209137,
-0.0690968930721283,
0.07099839299917221,
0.020407721400260925,
0.012996649369597435,
-0.026011845096945763,
-0.004148426000028849,
-0.041093114763498306,
0.016547130420804024,
-0.04085858538746834,
0.059413377195596695,
-0.004383314400911331,
-0.03930442035198212,
-0.01580134779214859,
0.05787808448076248,
0.08749261498451233,
0.002547826152294874,
-0.020531663671135902,
-0.006117488257586956,
-0.046321652829647064,
-0.0023047197610139847,
-0.022735701873898506,
0.014695607125759125,
0.04589468985795975,
-0.018772702664136887,
0.03477935492992401,
0.02902016043663025,
-0.08601786941289902,
-0.04181460291147232,
0.05598471313714981,
-0.04895376041531563,
-0.03496004641056061,
0.0841999277472496,
-0.008861362002789974,
-0.04567855969071388,
-0.015891464427113533,
-0.00042904942529276013,
-0.009459362365305424,
-0.03562149405479431,
0.03923320397734642,
0.0024744172114878893,
0.15567412972450256,
-0.012681693769991398,
0.012538373470306396,
0.03651338070631027,
0.001050725462846458,
-0.03987867012619972,
0.04767598956823349,
-0.07121666520833969,
-0.04674074426293373,
0.17147000133991241,
0.02087942697107792,
-0.03853877633810043,
-0.002276916056871414,
0.02052818052470684,
-0.004612569231539965,
0.08850757777690887,
-0.026721861213445663,
0.04636320471763611,
-0.15455535054206848,
0.015459283255040646,
0.05221640691161156,
-0.04188873991370201,
0.06104346364736557,
-0.012230249121785164,
0.06584706157445908,
0.0889275074005127,
-0.1063595786690712,
-0.004939958918839693,
-0.02586493454873562,
-0.014353682287037373,
-0.07641107589006424,
-0.08308371156454086,
-0.010550839826464653,
0.022141851484775543,
-0.02420016936957836,
0.029335355386137962,
-1.2698551394536312e-33,
0.02422196790575981,
-0.06593625247478485,
-0.03132536634802818,
0.04183590039610863,
-0.028423571959137917,
-0.0926714614033699,
-0.07028917968273163,
0.006925624795258045,
0.07098322361707687,
-0.0050253733061254025,
-0.0061305221170187,
-0.004815767053514719,
0.09179241210222244,
0.0738648772239685,
0.003719257889315486,
-0.04672381654381752,
0.043676164001226425,
-0.05981422960758209,
-0.03499806299805641,
0.094957135617733,
0.006814765278249979,
0.11129274219274521,
-0.08006596565246582,
0.008464697748422623,
0.034588467329740524,
0.04277362301945686,
-0.08937592059373856,
0.07724454253911972,
0.015047035180032253,
0.07438729703426361,
-0.0077481041662395,
-0.10934384167194366,
-0.03247126191854477,
-0.06219485402107239,
-0.013955353759229183,
-0.07894125580787659,
0.021445348858833313,
0.0744229406118393,
-0.019853372126817703,
-0.015774501487612724,
0.009831089526414871,
-0.05649999529123306,
0.050408728420734406,
-0.06966827064752579,
-0.018398035317659378,
0.0019546239636838436,
-0.05090855807065964,
-0.110100656747818,
-0.004506041295826435,
-0.09713444858789444,
0.05257420614361763,
-0.025659289211034775,
-0.018629323691129684,
0.0372992604970932,
-0.028245611116290092,
0.005823904182761908,
-0.022106146439909935,
-0.0067105465568602085,
0.011012678034603596,
0.023589543998241425,
0.002908615628257394,
0.0317172110080719,
0.07678389549255371,
0.018759900704026222,
0.04459301754832268,
-0.012623795308172703,
-0.018331315368413925,
-0.08547022938728333,
0.020339354872703552,
-0.06200764328241348,
0.018836598843336105,
0.0460352897644043,
-0.09739639610052109,
0.06568658351898193,
-0.029859378933906555,
0.011182001791894436,
0.03778419643640518,
0.025665897876024246,
0.09602692723274231,
0.05543335899710655,
-0.02773607149720192,
-0.017785191535949707,
0.0242934413254261,
0.008051485754549503,
-0.12014098465442657,
-0.017507825046777725,
0.02142784558236599,
0.04000421240925789,
0.03088519163429737,
-0.000909683876670897,
0.048795491456985474,
-0.004486342892050743,
0.05401993915438652,
0.04933815822005272,
0.017461301758885384,
-4.223426230964833e-8,
-0.07165548205375671,
0.026112819090485573,
-0.0037270088214427233,
0.006937618367373943,
0.046467069536447525,
-0.09796358644962311,
-0.03771628066897392,
-0.03761919215321541,
0.05879639834165573,
-0.03403257206082344,
0.08696866780519485,
0.07362785190343857,
0.029524896293878555,
-0.061146993190050125,
-0.12602953612804413,
0.06469781696796417,
0.04104222357273102,
-0.016112959012389183,
-0.015118902549147606,
0.0589572973549366,
-0.009998722933232784,
0.03459734469652176,
-0.016883648931980133,
-0.0008152569062076509,
-0.042180296033620834,
-0.03300824388861656,
0.012141706421971321,
0.06366333365440369,
0.0002710898988880217,
0.09872138500213623,
0.04879240691661835,
0.013882420025765896,
0.05815112218260765,
0.022390980273485184,
0.02123142220079899,
0.006758581846952438,
-0.054244015365839005,
-0.033819228410720825,
-0.029862908646464348,
-0.013693287037312984,
0.07719186693429947,
0.010942175053060055,
-0.10215147584676743,
0.045602064579725266,
0.0949234738945961,
-0.08227985352277756,
-0.030647266656160355,
-0.14648626744747162,
-0.07730494439601898,
-0.06541020423173904,
0.06145806610584259,
0.062085770070552826,
-0.001832344918511808,
-0.013508967123925686,
-0.051159609109163284,
0.03974590450525284,
-0.03431474044919014,
-0.035441506654024124,
-0.06560014933347702,
-0.012915000319480896,
-0.008339276537299156,
0.010032819584012032,
0.05911983549594879,
-0.0062816692516207695
] |
1401.1450 | Diego Fernando C. Carri\'on L. | Diego Fernando C. Carri\'on L | A Recursive Algorithmic Approach to the Finding of Permutations for the
Combination of Any Two Sets | 12 pages, 4 figures, originally submitted to the July 2013 Brigham
Young University-Idaho Research and Creative Works Conference | null | null | null | cs.DS | http://creativecommons.org/licenses/by/3.0/ | In this paper I present a conjecture for a recursive algorithm that finds
each permutation of combining two sets of objects (AKA the Shuffle Product).
This algorithm provides an efficient way to navigate this problem, as each
atomic operation yields a permutation of the union. The permutations of the
union of the two sets are represented as binary integers which are then
manipulated mathematically to find the next permutation. The routes taken to
find each of the permutations then form a series of associations or adjacencies
which can be represented in a tree graph which appears to possess some
properties of a fractal.
This algorithm was discovered while attempting to identify every possible
end-state of a Tic-Tac-Toe (Naughts and Crosses) board. It was found to be a
viable and efficient solution to the problem, and now---in its more generalized
state---it is my belief that it may find applications among a wide range of
theoretical and applied sciences.
I hypothesize that, due to the fractal-like nature of the tree it traverses,
this algorithm sheds light on a more generic principle of combinatorics and as
such could be further generalized to perhaps be applied to the union of any
number of sets.
| [
{
"created": "Tue, 7 Jan 2014 17:30:05 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"L",
"Diego Fernando C. Carrión",
""
]
] | [
-0.06074545904994011,
-0.03383203223347664,
0.0026607282925397158,
-0.01700839214026928,
-0.04736088216304779,
-0.0431082509458065,
0.014579514972865582,
-0.016467902809381485,
0.0363444909453392,
0.04525802657008171,
-0.0899629294872284,
-0.01759452186524868,
0.016241848468780518,
0.05836087837815285,
-0.0723704919219017,
0.06361529231071472,
-0.01089119166135788,
0.03650550916790962,
0.03760858625173569,
-0.058563392609357834,
-0.020383819937705994,
-0.05427774414420128,
-0.04754791781306267,
0.0021856441162526608,
0.0019233558559790254,
0.0009418621193617582,
-0.023368077352643013,
-0.018799684941768646,
-0.01821213588118553,
-0.07476919889450073,
0.011408522725105286,
0.06834282726049423,
0.021026339381933212,
0.009126931428909302,
0.013858966529369354,
0.0000696359493304044,
0.005606933031231165,
-0.049030788242816925,
0.05630936846137047,
0.050460413098335266,
-0.005429214797914028,
0.05019018054008484,
0.04584990814328194,
0.06551352143287659,
-0.04527028277516365,
0.09641997516155243,
0.03022204525768757,
0.009742910973727703,
-0.06056804209947586,
-0.0563904233276844,
-0.054331693798303604,
0.009495709091424942,
-0.08979477733373642,
0.03584863618016243,
0.017580438405275345,
-0.03368805721402168,
0.04538898915052414,
-0.050240859389305115,
0.009400511160492897,
0.02360653318464756,
0.05726898834109306,
-0.04778417944908142,
-0.026283318176865578,
-0.009998170658946037,
0.014347131364047527,
0.05253477394580841,
0.03231002390384674,
0.004428148735314608,
0.006917929742485285,
0.040385421365499496,
0.010456027463078499,
0.08048614114522934,
-0.005533442832529545,
0.05701085180044174,
0.07987590879201889,
0.0605974905192852,
0.08773227781057358,
0.0003922296455129981,
-0.02999480813741684,
-0.037983257323503494,
-0.1466934084892273,
0.014392919838428497,
0.02230300009250641,
-0.02622893452644348,
0.04866386950016022,
-0.044467512518167496,
-0.10042271018028259,
0.022899681702256203,
0.026129258796572685,
0.015325701795518398,
-0.1045137271285057,
0.016982218250632286,
0.07714422047138214,
-0.08378883451223373,
0.02295566163957119,
0.06595358997583389,
0.028371792286634445,
0.050012871623039246,
0.08606545627117157,
0.03681488335132599,
0.013945412822067738,
0.09061726182699203,
0.06699088960886002,
-0.06424956023693085,
0.013387701474130154,
0.05362850800156593,
-0.11093749850988388,
-0.03997618705034256,
0.044289685785770416,
-0.04387762024998665,
-0.010323261842131615,
0.015308103524148464,
0.007147965021431446,
0.12001024931669235,
-0.08352529257535934,
-0.043907344341278076,
-0.046908214688301086,
0.011245797388255596,
0.03419708088040352,
0.06282459199428558,
0.026704395189881325,
-0.043452274054288864,
-0.040404804050922394,
0.02622058615088463,
0.062465764582157135,
0.02315680868923664,
-0.06751101464033127,
3.656659179504594e-34,
-0.016707556322216988,
0.018662579357624054,
0.017265215516090393,
0.027319537475705147,
0.10100995004177094,
-0.05459953844547272,
-0.02951687015593052,
-0.0945955365896225,
0.014973659999668598,
0.09876161068677902,
-0.028840580955147743,
0.11086557060480118,
0.08821048587560654,
0.029805639758706093,
0.04576658457517624,
-0.05063847452402115,
0.014643734320998192,
-0.07488597184419632,
-0.08018971979618073,
-0.11431034654378891,
0.002154767978936434,
0.08649475127458572,
0.016441112384200096,
-0.05252646654844284,
0.012403824366629124,
0.04407127946615219,
0.00928727351129055,
-0.046097949147224426,
0.08596460521221161,
0.003946384880691767,
-0.06080019474029541,
0.06161746755242348,
-0.028255360201001167,
0.0825350433588028,
0.02606968954205513,
0.002725690370425582,
0.02076391503214836,
-0.0798744484782219,
0.028126098215579987,
-0.04915696755051613,
0.017726805061101913,
-0.02930866740643978,
-0.002908493625000119,
0.02982531115412712,
0.00199806597083807,
-0.031039370223879814,
-0.021309366449713707,
0.024500958621501923,
-0.04030817747116089,
0.02507779933512211,
-0.04437261447310448,
-0.08061367273330688,
0.02074180357158184,
-0.0626528412103653,
0.053414274007081985,
-0.05002241209149361,
-0.027227016165852547,
0.017230020835995674,
0.02272510714828968,
0.18303295969963074,
0.017746074125170708,
0.02865445241332054,
0.02111518755555153,
0.032002393156290054,
-0.0689849928021431,
0.03352660313248634,
-0.034978464245796204,
-0.06023804470896721,
0.09681469947099686,
0.03351662680506706,
-0.006591449957340956,
0.058234378695487976,
-0.009926572442054749,
-0.024763859808444977,
0.035879552364349365,
-0.03619237244129181,
-0.0005976486136205494,
-0.10040102154016495,
-0.04346316680312157,
-0.0654936283826828,
-0.09939617663621902,
-0.048176273703575134,
0.007728734984993935,
-0.042361434549093246,
-0.0035981226246804,
-0.08265791833400726,
-0.05567019805312157,
0.012062731198966503,
-0.04453863948583603,
-0.035960983484983444,
-0.02812664769589901,
-0.037894003093242645,
0.10120199620723724,
0.035017721354961395,
0.07139638066291809,
-1.724682189119591e-33,
-0.04338604211807251,
-0.048895858228206635,
0.0571659654378891,
0.006208263337612152,
0.008492786437273026,
-0.06874723732471466,
0.012109536677598953,
-0.06832302361726761,
0.002488667843863368,
-0.020295575261116028,
-0.04674753546714783,
0.05169205740094185,
0.04575281962752342,
0.027049388736486435,
-0.04917995631694794,
0.0016164630651474,
0.06215529516339302,
0.0378563329577446,
0.035615622997283936,
-0.023511730134487152,
0.00011383072705939412,
0.0955667719244957,
-0.03611087054014206,
-0.016484716907143593,
0.047178253531455994,
0.049930643290281296,
0.011514374054968357,
-0.06427551805973053,
-0.0022810539230704308,
0.08071152120828629,
0.0081456508487463,
-0.0944303348660469,
0.01967010833323002,
-0.05445297807455063,
0.00010280418791808188,
-0.034489911049604416,
0.032855357974767685,
0.00007574799383291975,
0.030006173998117447,
-0.051899924874305725,
0.028894901275634766,
-0.025327030569314957,
0.023852944374084473,
0.005568505730479956,
-0.003938362002372742,
0.026074601337313652,
-0.14719538390636444,
0.0764768123626709,
-0.017414279282093048,
-0.03870061784982681,
-0.005075549241155386,
0.030880475416779518,
0.08035068213939667,
-0.07737831026315689,
-0.021230867132544518,
0.05456014722585678,
-0.043583232909440994,
0.04932775720953941,
0.06911534816026688,
-0.00027953123208135366,
-0.04277242720127106,
-0.027899213135242462,
0.0819392278790474,
0.004403178114444017,
0.01863211579620838,
-0.04602319747209549,
-0.05803912505507469,
-0.07854360342025757,
-0.053419217467308044,
0.06154976040124893,
0.041569069027900696,
0.040362514555454254,
-0.07912835478782654,
-0.02668093703687191,
-0.017255671322345734,
0.013112964108586311,
0.010618058033287525,
-0.00814009178429842,
-0.01712263561785221,
0.019152440130710602,
-0.11407804489135742,
0.013257036916911602,
-0.030476510524749756,
-0.0025694670621305704,
-0.02746053971350193,
-0.05345285311341286,
0.04556254670023918,
0.049919839948415756,
0.08037208765745163,
-0.05422404035925865,
0.031085481867194176,
-0.009101067669689655,
0.03995630890130997,
0.056919537484645844,
0.09123662859201431,
-5.352855936280321e-8,
-0.007870088331401348,
0.007396089378744364,
-0.02054511196911335,
-0.04783836007118225,
0.053905047476291656,
0.0385243259370327,
0.08966899663209915,
0.09849629551172256,
-0.09463774412870407,
-0.022531000897288322,
0.07095495611429214,
0.06191270425915718,
0.03193448483943939,
0.05369935184717178,
0.02251335233449936,
0.04102715104818344,
0.04282369464635849,
-0.057818956673145294,
0.0007515284814871848,
0.038762662559747696,
-0.002350220223888755,
-0.019340021535754204,
0.030916035175323486,
0.10063318908214569,
-0.0865912064909935,
-0.02323729358613491,
0.0007237474201247096,
-0.07031123340129852,
-0.06903224438428879,
0.00557335140183568,
-0.028618881478905678,
0.020872196182608604,
0.0900288000702858,
0.017197253182530403,
-0.019800372421741486,
0.05943021550774574,
-0.04561048373579979,
0.05266043171286583,
-0.0730438232421875,
-0.07037907838821411,
-0.040403831750154495,
0.02134542167186737,
-0.046501655131578445,
-0.0020026969723403454,
0.0010014921426773071,
-0.07356249541044235,
0.0068704308941960335,
0.03601054847240448,
-0.018395107239484787,
0.043784383684396744,
-0.03249771147966385,
-0.012273858301341534,
-0.037320446223020554,
-0.12401828914880753,
0.008196928538382053,
0.07407140731811523,
-0.0564415268599987,
-0.08066274970769882,
0.041522007435560226,
0.07995519787073135,
0.033870793879032135,
-0.03561455011367798,
-0.00665568420663476,
0.006525346543639898
] | null | null | null | null | null | null | null | [
-0.06074545904994011,
-0.03383203223347664,
0.0026607282925397158,
-0.01700839214026928,
-0.04736088216304779,
-0.0431082509458065,
0.014579514972865582,
-0.016467902809381485,
0.0363444909453392,
0.04525802657008171,
-0.0899629294872284,
-0.01759452186524868,
0.016241848468780518,
0.05836087837815285,
-0.0723704919219017,
0.06361529231071472,
-0.01089119166135788,
0.03650550916790962,
0.03760858625173569,
-0.058563392609357834,
-0.020383819937705994,
-0.05427774414420128,
-0.04754791781306267,
0.0021856441162526608,
0.0019233558559790254,
0.0009418621193617582,
-0.023368077352643013,
-0.018799684941768646,
-0.01821213588118553,
-0.07476919889450073,
0.011408522725105286,
0.06834282726049423,
0.021026339381933212,
0.009126931428909302,
0.013858966529369354,
0.0000696359493304044,
0.005606933031231165,
-0.049030788242816925,
0.05630936846137047,
0.050460413098335266,
-0.005429214797914028,
0.05019018054008484,
0.04584990814328194,
0.06551352143287659,
-0.04527028277516365,
0.09641997516155243,
0.03022204525768757,
0.009742910973727703,
-0.06056804209947586,
-0.0563904233276844,
-0.054331693798303604,
0.009495709091424942,
-0.08979477733373642,
0.03584863618016243,
0.017580438405275345,
-0.03368805721402168,
0.04538898915052414,
-0.050240859389305115,
0.009400511160492897,
0.02360653318464756,
0.05726898834109306,
-0.04778417944908142,
-0.026283318176865578,
-0.009998170658946037,
0.014347131364047527,
0.05253477394580841,
0.03231002390384674,
0.004428148735314608,
0.006917929742485285,
0.040385421365499496,
0.010456027463078499,
0.08048614114522934,
-0.005533442832529545,
0.05701085180044174,
0.07987590879201889,
0.0605974905192852,
0.08773227781057358,
0.0003922296455129981,
-0.02999480813741684,
-0.037983257323503494,
-0.1466934084892273,
0.014392919838428497,
0.02230300009250641,
-0.02622893452644348,
0.04866386950016022,
-0.044467512518167496,
-0.10042271018028259,
0.022899681702256203,
0.026129258796572685,
0.015325701795518398,
-0.1045137271285057,
0.016982218250632286,
0.07714422047138214,
-0.08378883451223373,
0.02295566163957119,
0.06595358997583389,
0.028371792286634445,
0.050012871623039246,
0.08606545627117157,
0.03681488335132599,
0.013945412822067738,
0.09061726182699203,
0.06699088960886002,
-0.06424956023693085,
0.013387701474130154,
0.05362850800156593,
-0.11093749850988388,
-0.03997618705034256,
0.044289685785770416,
-0.04387762024998665,
-0.010323261842131615,
0.015308103524148464,
0.007147965021431446,
0.12001024931669235,
-0.08352529257535934,
-0.043907344341278076,
-0.046908214688301086,
0.011245797388255596,
0.03419708088040352,
0.06282459199428558,
0.026704395189881325,
-0.043452274054288864,
-0.040404804050922394,
0.02622058615088463,
0.062465764582157135,
0.02315680868923664,
-0.06751101464033127,
3.656659179504594e-34,
-0.016707556322216988,
0.018662579357624054,
0.017265215516090393,
0.027319537475705147,
0.10100995004177094,
-0.05459953844547272,
-0.02951687015593052,
-0.0945955365896225,
0.014973659999668598,
0.09876161068677902,
-0.028840580955147743,
0.11086557060480118,
0.08821048587560654,
0.029805639758706093,
0.04576658457517624,
-0.05063847452402115,
0.014643734320998192,
-0.07488597184419632,
-0.08018971979618073,
-0.11431034654378891,
0.002154767978936434,
0.08649475127458572,
0.016441112384200096,
-0.05252646654844284,
0.012403824366629124,
0.04407127946615219,
0.00928727351129055,
-0.046097949147224426,
0.08596460521221161,
0.003946384880691767,
-0.06080019474029541,
0.06161746755242348,
-0.028255360201001167,
0.0825350433588028,
0.02606968954205513,
0.002725690370425582,
0.02076391503214836,
-0.0798744484782219,
0.028126098215579987,
-0.04915696755051613,
0.017726805061101913,
-0.02930866740643978,
-0.002908493625000119,
0.02982531115412712,
0.00199806597083807,
-0.031039370223879814,
-0.021309366449713707,
0.024500958621501923,
-0.04030817747116089,
0.02507779933512211,
-0.04437261447310448,
-0.08061367273330688,
0.02074180357158184,
-0.0626528412103653,
0.053414274007081985,
-0.05002241209149361,
-0.027227016165852547,
0.017230020835995674,
0.02272510714828968,
0.18303295969963074,
0.017746074125170708,
0.02865445241332054,
0.02111518755555153,
0.032002393156290054,
-0.0689849928021431,
0.03352660313248634,
-0.034978464245796204,
-0.06023804470896721,
0.09681469947099686,
0.03351662680506706,
-0.006591449957340956,
0.058234378695487976,
-0.009926572442054749,
-0.024763859808444977,
0.035879552364349365,
-0.03619237244129181,
-0.0005976486136205494,
-0.10040102154016495,
-0.04346316680312157,
-0.0654936283826828,
-0.09939617663621902,
-0.048176273703575134,
0.007728734984993935,
-0.042361434549093246,
-0.0035981226246804,
-0.08265791833400726,
-0.05567019805312157,
0.012062731198966503,
-0.04453863948583603,
-0.035960983484983444,
-0.02812664769589901,
-0.037894003093242645,
0.10120199620723724,
0.035017721354961395,
0.07139638066291809,
-1.724682189119591e-33,
-0.04338604211807251,
-0.048895858228206635,
0.0571659654378891,
0.006208263337612152,
0.008492786437273026,
-0.06874723732471466,
0.012109536677598953,
-0.06832302361726761,
0.002488667843863368,
-0.020295575261116028,
-0.04674753546714783,
0.05169205740094185,
0.04575281962752342,
0.027049388736486435,
-0.04917995631694794,
0.0016164630651474,
0.06215529516339302,
0.0378563329577446,
0.035615622997283936,
-0.023511730134487152,
0.00011383072705939412,
0.0955667719244957,
-0.03611087054014206,
-0.016484716907143593,
0.047178253531455994,
0.049930643290281296,
0.011514374054968357,
-0.06427551805973053,
-0.0022810539230704308,
0.08071152120828629,
0.0081456508487463,
-0.0944303348660469,
0.01967010833323002,
-0.05445297807455063,
0.00010280418791808188,
-0.034489911049604416,
0.032855357974767685,
0.00007574799383291975,
0.030006173998117447,
-0.051899924874305725,
0.028894901275634766,
-0.025327030569314957,
0.023852944374084473,
0.005568505730479956,
-0.003938362002372742,
0.026074601337313652,
-0.14719538390636444,
0.0764768123626709,
-0.017414279282093048,
-0.03870061784982681,
-0.005075549241155386,
0.030880475416779518,
0.08035068213939667,
-0.07737831026315689,
-0.021230867132544518,
0.05456014722585678,
-0.043583232909440994,
0.04932775720953941,
0.06911534816026688,
-0.00027953123208135366,
-0.04277242720127106,
-0.027899213135242462,
0.0819392278790474,
0.004403178114444017,
0.01863211579620838,
-0.04602319747209549,
-0.05803912505507469,
-0.07854360342025757,
-0.053419217467308044,
0.06154976040124893,
0.041569069027900696,
0.040362514555454254,
-0.07912835478782654,
-0.02668093703687191,
-0.017255671322345734,
0.013112964108586311,
0.010618058033287525,
-0.00814009178429842,
-0.01712263561785221,
0.019152440130710602,
-0.11407804489135742,
0.013257036916911602,
-0.030476510524749756,
-0.0025694670621305704,
-0.02746053971350193,
-0.05345285311341286,
0.04556254670023918,
0.049919839948415756,
0.08037208765745163,
-0.05422404035925865,
0.031085481867194176,
-0.009101067669689655,
0.03995630890130997,
0.056919537484645844,
0.09123662859201431,
-5.352855936280321e-8,
-0.007870088331401348,
0.007396089378744364,
-0.02054511196911335,
-0.04783836007118225,
0.053905047476291656,
0.0385243259370327,
0.08966899663209915,
0.09849629551172256,
-0.09463774412870407,
-0.022531000897288322,
0.07095495611429214,
0.06191270425915718,
0.03193448483943939,
0.05369935184717178,
0.02251335233449936,
0.04102715104818344,
0.04282369464635849,
-0.057818956673145294,
0.0007515284814871848,
0.038762662559747696,
-0.002350220223888755,
-0.019340021535754204,
0.030916035175323486,
0.10063318908214569,
-0.0865912064909935,
-0.02323729358613491,
0.0007237474201247096,
-0.07031123340129852,
-0.06903224438428879,
0.00557335140183568,
-0.028618881478905678,
0.020872196182608604,
0.0900288000702858,
0.017197253182530403,
-0.019800372421741486,
0.05943021550774574,
-0.04561048373579979,
0.05266043171286583,
-0.0730438232421875,
-0.07037907838821411,
-0.040403831750154495,
0.02134542167186737,
-0.046501655131578445,
-0.0020026969723403454,
0.0010014921426773071,
-0.07356249541044235,
0.0068704308941960335,
0.03601054847240448,
-0.018395107239484787,
0.043784383684396744,
-0.03249771147966385,
-0.012273858301341534,
-0.037320446223020554,
-0.12401828914880753,
0.008196928538382053,
0.07407140731811523,
-0.0564415268599987,
-0.08066274970769882,
0.041522007435560226,
0.07995519787073135,
0.033870793879032135,
-0.03561455011367798,
-0.00665568420663476,
0.006525346543639898
] |
1401.1451 | Kalpana Pandey | Kalpana Kandpal, Anjali Singhal | Smart Grid Demand Monitoring Model | 3 pages, 1 figure, International Journal | null | null | null | cs.OH | http://creativecommons.org/licenses/by/3.0/ | This paper is in related to the demand genrated by the consumer for a time
for the power which is being viewed by taking some measures to solve the demand
need.
| [
{
"created": "Tue, 7 Jan 2014 17:30:29 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Kandpal",
"Kalpana",
""
],
[
"Singhal",
"Anjali",
""
]
] | [
-0.11324486136436462,
0.048486195504665375,
-0.034308310598134995,
0.021875714883208275,
-0.022831227630376816,
0.01563417911529541,
0.04440094530582428,
0.029712051153182983,
0.019551346078515053,
-0.011543113738298416,
0.009800789877772331,
-0.05245335027575493,
0.018065953627228737,
-0.009960941970348358,
0.03590241074562073,
-0.0542190782725811,
0.007879913784563541,
-0.036400239914655685,
0.0480172298848629,
-0.0003644837124738842,
0.10024526715278625,
-0.015067975036799908,
-0.030652862042188644,
0.008976881392300129,
-0.07116002589464188,
-0.034833673387765884,
0.0358949638903141,
0.03159705922007561,
0.06525996327400208,
0.0024336641654372215,
-0.014750586822628975,
0.05348619818687439,
0.07603950798511505,
-0.010295570828020573,
0.02107434719800949,
0.031102297827601433,
-0.04236549511551857,
-0.020052582025527954,
0.03311382606625557,
-0.005887567065656185,
0.0002114664821419865,
-0.08312628418207169,
-0.059967998415231705,
-0.0011269458336755633,
-0.002725966740399599,
0.00300063774921,
0.015847818925976753,
0.06336849182844162,
-0.009805740788578987,
0.03950408473610878,
-0.059377994388341904,
0.011890624649822712,
-0.021717334166169167,
-0.04194716736674309,
0.0057655456475913525,
-0.0696835145354271,
0.122407466173172,
-0.07486831396818161,
0.07982855290174484,
-0.0016511844005435705,
-0.028103020042181015,
-0.057570457458496094,
-0.06128568947315216,
-0.004320868756622076,
0.0685955360531807,
0.01942422054708004,
0.020992085337638855,
-0.02103322558104992,
-0.09183045476675034,
0.02967621572315693,
0.01214558444917202,
-0.04946744441986084,
0.002605087822303176,
-0.09818872064352036,
-0.05676424875855446,
-0.059156715869903564,
0.0349314846098423,
-0.007326300255954266,
0.03958572819828987,
0.01668718457221985,
0.04765145108103752,
-0.040728021413087845,
-0.12967300415039062,
0.004264019895344973,
-0.009885691106319427,
-0.04839923232793808,
0.015702350065112114,
-0.06522686779499054,
0.03336894512176514,
0.00924933422356844,
-0.010225094854831696,
0.05817316100001335,
-0.019831892102956772,
0.057854603976011276,
-0.031585946679115295,
0.005017588380724192,
0.012588286772370338,
-0.023936476558446884,
0.04788719862699509,
0.03181694820523262,
-0.0008356822654604912,
0.014913353137671947,
0.03647732734680176,
0.022218508645892143,
-0.10265558958053589,
-0.09786868840456009,
-0.07257690280675888,
0.0626971498131752,
-0.006026552990078926,
0.05463719740509987,
-0.03570399805903435,
-0.0399806909263134,
-0.022426994517445564,
-0.03824489936232567,
0.008091539144515991,
0.01865937002003193,
0.043420784175395966,
-0.041696809232234955,
0.0686657577753067,
0.006131815258413553,
-0.009726664051413536,
-0.07843413203954697,
-0.085432268679142,
0.016607411205768585,
-0.01380449254065752,
-0.0006965730572119355,
0.10346751660108566,
-3.996042719768472e-33,
-0.1457158774137497,
-0.06925828754901886,
0.03582559525966644,
-0.0866432785987854,
-0.07475480437278748,
0.04252617061138153,
-0.005622323136776686,
0.03594115376472473,
0.051032863557338715,
-0.08495858311653137,
0.009703504852950573,
0.014070495963096619,
-0.009409488178789616,
0.04387858510017395,
0.028385072946548462,
-0.07863832265138626,
-0.0032028628047555685,
-0.03077646903693676,
0.09830066561698914,
0.02282930538058281,
-0.021145954728126526,
-0.006308690644800663,
0.052148785442113876,
0.008311506360769272,
-0.002256685635074973,
-0.018528085201978683,
0.02030252292752266,
-0.051827479153871536,
0.017902076244354248,
0.01707485131919384,
0.13148057460784912,
0.023823076859116554,
-0.06053149327635765,
-0.008077279664576054,
-0.12362620234489441,
0.014822486788034439,
0.089993916451931,
0.034384097903966904,
0.0057648844085633755,
-0.0271927323192358,
-0.0703432485461235,
0.07533662766218185,
0.03667820617556572,
0.04945255070924759,
-0.016101950779557228,
0.027664653956890106,
0.0681406632065773,
-0.032043684273958206,
-0.09671860188245773,
0.08185584843158722,
-0.06471981108188629,
0.025446783751249313,
-0.04187312349677086,
-0.027102092280983925,
-0.02741098590195179,
-0.018024219200015068,
-0.049388252198696136,
-0.06838502734899521,
0.005815411917865276,
-0.04287948086857796,
-0.00855734571814537,
-0.034458622336387634,
0.10670442879199982,
0.0012795294169336557,
0.019395846873521805,
0.009443479590117931,
0.0683245062828064,
-0.0017976409289985895,
-0.016142038628458977,
-0.02271873690187931,
-0.0034604778047651052,
-0.10459629446268082,
-0.027185026556253433,
-0.011500895023345947,
-0.06926486641168594,
0.03670206665992737,
-0.0026362105272710323,
0.06371589750051498,
-0.0519552081823349,
0.02527829445898533,
-0.09302611649036407,
0.02087840437889099,
0.02935829572379589,
-0.07316592335700989,
0.10864318907260895,
-0.03757308050990105,
0.01443479210138321,
-0.027395084500312805,
0.05314476788043976,
-0.0033663942012935877,
-0.037330787628889084,
0.05090606212615967,
0.005443724803626537,
0.04585719108581543,
0.05991846323013306,
4.540769373333412e-34,
-0.024482805281877518,
0.05694102868437767,
-0.0722779780626297,
0.10743662714958191,
0.03358467295765877,
-0.053071461617946625,
-0.1259649097919464,
-0.08392851054668427,
-0.031545981764793396,
0.11366411298513412,
-0.0988483652472496,
-0.015265212394297123,
-0.0016788890352472663,
-0.009037070907652378,
0.019563643261790276,
0.028926637023687363,
0.006025498267263174,
-0.018872030079364777,
-0.03796674311161041,
0.027324240654706955,
-0.028932053595781326,
0.09377582371234894,
-0.010955048725008965,
-0.02235533855855465,
-0.032198600471019745,
0.06023493409156799,
-0.08147520571947098,
0.029484037309885025,
-0.0013260297710075974,
0.009816339239478111,
-0.06357760727405548,
-0.00906502828001976,
-0.008688493631780148,
0.05931100621819496,
-0.04773252084851265,
0.02928859554231167,
0.07922051846981049,
0.1334303915500641,
-0.00889718160033226,
0.11913008242845535,
0.03423280641436577,
0.029430100694298744,
0.004133939743041992,
0.053142815828323364,
-0.04934807866811752,
-0.04397924244403839,
0.08722890168428421,
-0.05893737077713013,
-0.02352318726480007,
0.006937889847904444,
0.09823749959468842,
0.042866311967372894,
0.009675252251327038,
-0.0038280687294900417,
-0.08921372890472412,
-0.002742027398198843,
0.031225701794028282,
0.07182148844003677,
-0.0007408109959214926,
-0.04451441392302513,
0.07445032149553299,
0.03762344643473625,
-0.019708167761564255,
0.01173784863203764,
0.04067878797650337,
-0.01486809179186821,
0.09207018464803696,
-0.09028054028749466,
0.07252795249223709,
-0.06626129895448685,
-0.03271156921982765,
-0.014539217576384544,
0.022564420476555824,
-0.0008643727633170784,
-0.07271219044923782,
0.05642188340425491,
-0.017703985795378685,
0.017386214807629585,
0.028286442160606384,
0.010878101922571659,
-0.005382786504924297,
0.0892789214849472,
-0.02899700030684471,
-0.06337171792984009,
-0.11561622470617294,
-0.13430002331733704,
0.06409265100955963,
-0.021279925480484962,
-0.023992007598280907,
-0.02646733820438385,
-0.05152237415313721,
0.007895071059465408,
-0.047773346304893494,
-0.05472451075911522,
-0.012345293536782265,
-3.327163966559965e-8,
0.020472034811973572,
-0.06942513585090637,
0.06374143809080124,
0.01858212612569332,
0.10109885036945343,
-0.06889309734106064,
0.035625673830509186,
-0.02001996524631977,
-0.03499488905072212,
0.054475218057632446,
0.07289797067642212,
-0.01689288765192032,
0.03792717307806015,
0.09920209646224976,
-0.04970690980553627,
0.02391950413584709,
0.007690514903515577,
0.06305817514657974,
-0.07515885680913925,
-0.01890059933066368,
-0.016665063798427582,
0.052457429468631744,
0.04277268424630165,
0.02087729424238205,
0.05553111061453819,
0.07543196529150009,
0.03554640710353851,
-0.07421320676803589,
0.023425336927175522,
0.04045472666621208,
-0.07437220215797424,
0.03056766651570797,
-0.008472435176372528,
-0.09474252164363861,
0.022740833461284637,
0.03027842380106449,
-0.049496617168188095,
-0.03835339844226837,
-0.041029877960681915,
-0.04728494584560394,
0.04124026000499725,
-0.04090974107384682,
-0.03085901401937008,
0.03664226084947586,
0.0013860824983567,
-0.04750080779194832,
-0.061132557690143585,
-0.012712960131466389,
0.02258322946727276,
0.06528684496879578,
-0.0388992503285408,
-0.02370983548462391,
0.0554824098944664,
-0.05581729859113693,
-0.03802880644798279,
-0.017556313425302505,
-0.010895605199038982,
0.0154047179967165,
-0.0390300527215004,
0.027221400290727615,
0.08570930361747742,
0.03864843025803566,
0.00742056779563427,
-0.013696679845452309
] | null | null | null | null | null | null | null | [
-0.11324486136436462,
0.048486195504665375,
-0.034308310598134995,
0.021875714883208275,
-0.022831227630376816,
0.01563417911529541,
0.04440094530582428,
0.029712051153182983,
0.019551346078515053,
-0.011543113738298416,
0.009800789877772331,
-0.05245335027575493,
0.018065953627228737,
-0.009960941970348358,
0.03590241074562073,
-0.0542190782725811,
0.007879913784563541,
-0.036400239914655685,
0.0480172298848629,
-0.0003644837124738842,
0.10024526715278625,
-0.015067975036799908,
-0.030652862042188644,
0.008976881392300129,
-0.07116002589464188,
-0.034833673387765884,
0.0358949638903141,
0.03159705922007561,
0.06525996327400208,
0.0024336641654372215,
-0.014750586822628975,
0.05348619818687439,
0.07603950798511505,
-0.010295570828020573,
0.02107434719800949,
0.031102297827601433,
-0.04236549511551857,
-0.020052582025527954,
0.03311382606625557,
-0.005887567065656185,
0.0002114664821419865,
-0.08312628418207169,
-0.059967998415231705,
-0.0011269458336755633,
-0.002725966740399599,
0.00300063774921,
0.015847818925976753,
0.06336849182844162,
-0.009805740788578987,
0.03950408473610878,
-0.059377994388341904,
0.011890624649822712,
-0.021717334166169167,
-0.04194716736674309,
0.0057655456475913525,
-0.0696835145354271,
0.122407466173172,
-0.07486831396818161,
0.07982855290174484,
-0.0016511844005435705,
-0.028103020042181015,
-0.057570457458496094,
-0.06128568947315216,
-0.004320868756622076,
0.0685955360531807,
0.01942422054708004,
0.020992085337638855,
-0.02103322558104992,
-0.09183045476675034,
0.02967621572315693,
0.01214558444917202,
-0.04946744441986084,
0.002605087822303176,
-0.09818872064352036,
-0.05676424875855446,
-0.059156715869903564,
0.0349314846098423,
-0.007326300255954266,
0.03958572819828987,
0.01668718457221985,
0.04765145108103752,
-0.040728021413087845,
-0.12967300415039062,
0.004264019895344973,
-0.009885691106319427,
-0.04839923232793808,
0.015702350065112114,
-0.06522686779499054,
0.03336894512176514,
0.00924933422356844,
-0.010225094854831696,
0.05817316100001335,
-0.019831892102956772,
0.057854603976011276,
-0.031585946679115295,
0.005017588380724192,
0.012588286772370338,
-0.023936476558446884,
0.04788719862699509,
0.03181694820523262,
-0.0008356822654604912,
0.014913353137671947,
0.03647732734680176,
0.022218508645892143,
-0.10265558958053589,
-0.09786868840456009,
-0.07257690280675888,
0.0626971498131752,
-0.006026552990078926,
0.05463719740509987,
-0.03570399805903435,
-0.0399806909263134,
-0.022426994517445564,
-0.03824489936232567,
0.008091539144515991,
0.01865937002003193,
0.043420784175395966,
-0.041696809232234955,
0.0686657577753067,
0.006131815258413553,
-0.009726664051413536,
-0.07843413203954697,
-0.085432268679142,
0.016607411205768585,
-0.01380449254065752,
-0.0006965730572119355,
0.10346751660108566,
-3.996042719768472e-33,
-0.1457158774137497,
-0.06925828754901886,
0.03582559525966644,
-0.0866432785987854,
-0.07475480437278748,
0.04252617061138153,
-0.005622323136776686,
0.03594115376472473,
0.051032863557338715,
-0.08495858311653137,
0.009703504852950573,
0.014070495963096619,
-0.009409488178789616,
0.04387858510017395,
0.028385072946548462,
-0.07863832265138626,
-0.0032028628047555685,
-0.03077646903693676,
0.09830066561698914,
0.02282930538058281,
-0.021145954728126526,
-0.006308690644800663,
0.052148785442113876,
0.008311506360769272,
-0.002256685635074973,
-0.018528085201978683,
0.02030252292752266,
-0.051827479153871536,
0.017902076244354248,
0.01707485131919384,
0.13148057460784912,
0.023823076859116554,
-0.06053149327635765,
-0.008077279664576054,
-0.12362620234489441,
0.014822486788034439,
0.089993916451931,
0.034384097903966904,
0.0057648844085633755,
-0.0271927323192358,
-0.0703432485461235,
0.07533662766218185,
0.03667820617556572,
0.04945255070924759,
-0.016101950779557228,
0.027664653956890106,
0.0681406632065773,
-0.032043684273958206,
-0.09671860188245773,
0.08185584843158722,
-0.06471981108188629,
0.025446783751249313,
-0.04187312349677086,
-0.027102092280983925,
-0.02741098590195179,
-0.018024219200015068,
-0.049388252198696136,
-0.06838502734899521,
0.005815411917865276,
-0.04287948086857796,
-0.00855734571814537,
-0.034458622336387634,
0.10670442879199982,
0.0012795294169336557,
0.019395846873521805,
0.009443479590117931,
0.0683245062828064,
-0.0017976409289985895,
-0.016142038628458977,
-0.02271873690187931,
-0.0034604778047651052,
-0.10459629446268082,
-0.027185026556253433,
-0.011500895023345947,
-0.06926486641168594,
0.03670206665992737,
-0.0026362105272710323,
0.06371589750051498,
-0.0519552081823349,
0.02527829445898533,
-0.09302611649036407,
0.02087840437889099,
0.02935829572379589,
-0.07316592335700989,
0.10864318907260895,
-0.03757308050990105,
0.01443479210138321,
-0.027395084500312805,
0.05314476788043976,
-0.0033663942012935877,
-0.037330787628889084,
0.05090606212615967,
0.005443724803626537,
0.04585719108581543,
0.05991846323013306,
4.540769373333412e-34,
-0.024482805281877518,
0.05694102868437767,
-0.0722779780626297,
0.10743662714958191,
0.03358467295765877,
-0.053071461617946625,
-0.1259649097919464,
-0.08392851054668427,
-0.031545981764793396,
0.11366411298513412,
-0.0988483652472496,
-0.015265212394297123,
-0.0016788890352472663,
-0.009037070907652378,
0.019563643261790276,
0.028926637023687363,
0.006025498267263174,
-0.018872030079364777,
-0.03796674311161041,
0.027324240654706955,
-0.028932053595781326,
0.09377582371234894,
-0.010955048725008965,
-0.02235533855855465,
-0.032198600471019745,
0.06023493409156799,
-0.08147520571947098,
0.029484037309885025,
-0.0013260297710075974,
0.009816339239478111,
-0.06357760727405548,
-0.00906502828001976,
-0.008688493631780148,
0.05931100621819496,
-0.04773252084851265,
0.02928859554231167,
0.07922051846981049,
0.1334303915500641,
-0.00889718160033226,
0.11913008242845535,
0.03423280641436577,
0.029430100694298744,
0.004133939743041992,
0.053142815828323364,
-0.04934807866811752,
-0.04397924244403839,
0.08722890168428421,
-0.05893737077713013,
-0.02352318726480007,
0.006937889847904444,
0.09823749959468842,
0.042866311967372894,
0.009675252251327038,
-0.0038280687294900417,
-0.08921372890472412,
-0.002742027398198843,
0.031225701794028282,
0.07182148844003677,
-0.0007408109959214926,
-0.04451441392302513,
0.07445032149553299,
0.03762344643473625,
-0.019708167761564255,
0.01173784863203764,
0.04067878797650337,
-0.01486809179186821,
0.09207018464803696,
-0.09028054028749466,
0.07252795249223709,
-0.06626129895448685,
-0.03271156921982765,
-0.014539217576384544,
0.022564420476555824,
-0.0008643727633170784,
-0.07271219044923782,
0.05642188340425491,
-0.017703985795378685,
0.017386214807629585,
0.028286442160606384,
0.010878101922571659,
-0.005382786504924297,
0.0892789214849472,
-0.02899700030684471,
-0.06337171792984009,
-0.11561622470617294,
-0.13430002331733704,
0.06409265100955963,
-0.021279925480484962,
-0.023992007598280907,
-0.02646733820438385,
-0.05152237415313721,
0.007895071059465408,
-0.047773346304893494,
-0.05472451075911522,
-0.012345293536782265,
-3.327163966559965e-8,
0.020472034811973572,
-0.06942513585090637,
0.06374143809080124,
0.01858212612569332,
0.10109885036945343,
-0.06889309734106064,
0.035625673830509186,
-0.02001996524631977,
-0.03499488905072212,
0.054475218057632446,
0.07289797067642212,
-0.01689288765192032,
0.03792717307806015,
0.09920209646224976,
-0.04970690980553627,
0.02391950413584709,
0.007690514903515577,
0.06305817514657974,
-0.07515885680913925,
-0.01890059933066368,
-0.016665063798427582,
0.052457429468631744,
0.04277268424630165,
0.02087729424238205,
0.05553111061453819,
0.07543196529150009,
0.03554640710353851,
-0.07421320676803589,
0.023425336927175522,
0.04045472666621208,
-0.07437220215797424,
0.03056766651570797,
-0.008472435176372528,
-0.09474252164363861,
0.022740833461284637,
0.03027842380106449,
-0.049496617168188095,
-0.03835339844226837,
-0.041029877960681915,
-0.04728494584560394,
0.04124026000499725,
-0.04090974107384682,
-0.03085901401937008,
0.03664226084947586,
0.0013860824983567,
-0.04750080779194832,
-0.061132557690143585,
-0.012712960131466389,
0.02258322946727276,
0.06528684496879578,
-0.0388992503285408,
-0.02370983548462391,
0.0554824098944664,
-0.05581729859113693,
-0.03802880644798279,
-0.017556313425302505,
-0.010895605199038982,
0.0154047179967165,
-0.0390300527215004,
0.027221400290727615,
0.08570930361747742,
0.03864843025803566,
0.00742056779563427,
-0.013696679845452309
] |
1401.1456 | Margarita Karkali | Margarita Karkali, Francois Rousseau, Alexandros Ntoulas, Michalis
Vazirgiannis | Using temporal IDF for efficient novelty detection in text streams | 30 pages | null | null | null | cs.IR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Novelty detection in text streams is a challenging task that emerges in quite
a few different scenarios, ranging from email thread filtering to RSS news feed
recommendation on a smartphone. An efficient novelty detection algorithm can
save the user a great deal of time and resources when browsing through relevant
yet usually previously-seen content. Most of the recent research on detection
of novel documents in text streams has been building upon either geometric
distances or distributional similarities, with the former typically performing
better but being much slower due to the need of comparing an incoming document
with all the previously-seen ones. In this paper, we propose a new approach to
novelty detection in text streams. We describe a resource-aware mechanism that
is able to handle massive text streams such as the ones present today thanks to
the burst of social media and the emergence of the Web as the main source of
information. We capitalize on the historical Inverse Document Frequency (IDF)
that was known for capturing well term specificity and we show that it can be
used successfully at the document level as a measure of document novelty. This
enables us to avoid similarity comparisons with previous documents in the text
stream, thus scaling better and leading to faster execution times. Moreover, as
the collection of documents evolves over time, we use a temporal variant of IDF
not only to maintain an efficient representation of what has already been seen
but also to decay the document frequencies as the time goes by. We evaluate the
performance of the proposed approach on a real-world news articles dataset
created for this task. The results show that the proposed method outperforms
all of the baselines while managing to operate efficiently in terms of time
complexity and memory usage, which are of great importance in a mobile setting
scenario.
| [
{
"created": "Tue, 7 Jan 2014 17:43:37 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Nov 2014 15:58:35 GMT",
"version": "v2"
}
] | 2014-11-11 | [
[
"Karkali",
"Margarita",
""
],
[
"Rousseau",
"Francois",
""
],
[
"Ntoulas",
"Alexandros",
""
],
[
"Vazirgiannis",
"Michalis",
""
]
] | [
-0.11622121930122375,
-0.04513173550367355,
-0.004263830836862326,
0.004605983849614859,
0.11654199659824371,
-0.03290051594376564,
0.012139170430600643,
-0.01419996377080679,
0.08595103770494461,
-0.07661782205104828,
-0.019858911633491516,
-0.0024059407878667116,
0.07403283566236496,
0.08061706274747849,
-0.0523042231798172,
-0.006035574246197939,
0.03080500289797783,
-0.012166917324066162,
-0.052241504192352295,
-0.05036810785531998,
0.015505434013903141,
0.024278512224555016,
0.03663409501314163,
-0.028224801644682884,
0.058303479105234146,
0.02808917872607708,
-0.039917055517435074,
-0.01856601983308792,
-0.001552556292153895,
0.008964774198830128,
0.08375920355319977,
0.04724912717938423,
-0.0018421970307826996,
0.004580638371407986,
-0.037116605788469315,
-0.0635085254907608,
-0.046616751700639725,
0.05958525463938713,
0.002704496495425701,
-0.015542518347501755,
0.05553482845425606,
-0.032111816108226776,
-0.002816509222611785,
0.06377270072698593,
-0.043579526245594025,
0.04207572713494301,
-0.10082247108221054,
-0.007150416262447834,
0.02918136864900589,
0.05709990859031677,
-0.04426855593919754,
-0.033295661211013794,
-0.013907115906476974,
0.023462627083063126,
-0.010409354232251644,
-0.003942448180168867,
0.0019242592388764024,
-0.006007456220686436,
-0.03527979925274849,
-0.07901328057050705,
0.07570216059684753,
-0.06126415729522705,
-0.009138794615864754,
-0.07285398244857788,
-0.03956466540694237,
0.010845225304365158,
0.013602224178612232,
0.03529821336269379,
0.09162744134664536,
0.0528080053627491,
-0.011046023108065128,
0.12363532930612564,
-0.004658657591789961,
0.07875962555408478,
-0.021175500005483627,
-0.025223933160305023,
-0.05277031660079956,
-0.04182477667927742,
-0.10433512181043625,
-0.0008126202737912536,
0.0026306151412427425,
-0.05247294530272484,
0.037034470587968826,
0.018662704154849052,
0.14265315234661102,
-0.0055647655390203,
0.044931985437870026,
-0.013970287516713142,
-0.012504156678915024,
0.08022454380989075,
-0.08495134115219116,
0.0062889279797673225,
0.09701263904571533,
0.005978740751743317,
0.02214604616165161,
0.037302903831005096,
-0.04776158928871155,
0.020226482301950455,
0.06841316819190979,
0.09905994683504105,
0.012474264949560165,
0.055025894194841385,
-0.008042924106121063,
0.0013948774430900812,
0.018541907891631126,
0.004129312001168728,
-0.038715582340955734,
0.0418199859559536,
0.06640318036079407,
-0.0480208620429039,
0.024072159081697464,
-0.02742752619087696,
-0.002271405654028058,
-0.05717930570244789,
-0.0009263787069357932,
0.0009367457823827863,
0.10245227068662643,
0.035237621515989304,
-0.032487742602825165,
0.12709936499595642,
0.06756796687841415,
0.0011960500851273537,
-0.06088175252079964,
-0.05320350453257561,
0.02201291359961033,
0.0026527848094701767,
0.04509440436959267,
1.540833035941062e-33,
0.04087446257472038,
0.03646861016750336,
-0.04404086619615555,
0.012250316329300404,
-0.022976357489824295,
-0.029451878741383553,
-0.06519336253404617,
0.043496936559677124,
-0.02555513009428978,
-0.11074043065309525,
-0.024760091677308083,
0.04509287327528,
0.017692938446998596,
-0.02616375871002674,
-0.01992831751704216,
-0.07130537927150726,
-0.038521550595760345,
0.01634984090924263,
0.057598236948251724,
-0.07709401845932007,
-0.028267551213502884,
-0.0398334339261055,
-0.011465535499155521,
-0.05332566797733307,
-0.008345277048647404,
-0.04856221005320549,
0.06455254554748535,
-0.06198718771338463,
-0.029979931190609932,
0.004588814917951822,
0.0014628663193434477,
-0.010879455134272575,
-0.01756785437464714,
-0.015580401755869389,
-0.009179706685245037,
-0.029475726187229156,
-0.0636410266160965,
-0.07913388311862946,
0.05696537718176842,
-0.044134534895420074,
-0.08999595046043396,
0.022231345996260643,
-0.025590602308511734,
-0.08225458860397339,
-0.03233293816447258,
0.03238099440932274,
0.015771258622407913,
-0.023759590461850166,
-0.031964562833309174,
-0.09427541494369507,
0.1100224182009697,
-0.0004468659171834588,
0.002843051915988326,
-0.002315736608579755,
-0.0028820319566875696,
0.0058409529738128185,
-0.030457474291324615,
0.0007497323676943779,
0.06725023686885834,
0.03332047536969185,
0.09548437595367432,
0.005324584897607565,
0.013224191963672638,
0.03812325745820999,
0.04174775257706642,
0.017977671697735786,
0.11902210116386414,
0.06115434318780899,
-0.01671667769551277,
0.0695405900478363,
0.03995441272854805,
-0.052846759557724,
-0.020352473482489586,
-0.042671989649534225,
0.00893612951040268,
0.06874974817037582,
0.07038500905036926,
-0.05621655657887459,
-0.004593821708112955,
-0.060707442462444305,
0.03227332606911659,
-0.10905905812978745,
0.14047016203403473,
-0.04437996819615364,
-0.09704156219959259,
-0.010505881160497665,
0.05660347267985344,
-0.07771076261997223,
-0.05531054735183716,
0.04542822763323784,
-0.015332912094891071,
0.01059003360569477,
-0.049839358776807785,
-0.021392857655882835,
0.0819634199142456,
-7.587601598674337e-34,
-0.018972838297486305,
-0.05495992675423622,
-0.042431727051734924,
-0.02183138020336628,
0.0324060432612896,
-0.0023125726729631424,
-0.07863598316907883,
0.041592638939619064,
-0.027469085529446602,
-0.04914620518684387,
-0.06240251660346985,
-0.04234310984611511,
-0.005762245040386915,
0.012906068004667759,
-0.031993500888347626,
0.014450662769377232,
0.044628988951444626,
0.0032738542649894953,
-0.126436248421669,
0.04263025149703026,
0.020283862948417664,
-0.0029071401804685593,
-0.07019303739070892,
-0.018720250576734543,
0.0927034318447113,
0.0007396832224912941,
0.002809301018714905,
0.04271150007843971,
-0.057563453912734985,
-0.08215827494859695,
-0.07863163203001022,
0.02659805491566658,
0.001966949785128236,
-0.06817194819450378,
-0.0017963942373171449,
0.04772838577628136,
0.0419512540102005,
-0.024226900190114975,
0.0011214656988158822,
0.10818012803792953,
0.032789625227451324,
0.025756729766726494,
0.03170640021562576,
-0.052252404391765594,
-0.03638560324907303,
-0.05974334478378296,
-0.06854889541864395,
0.07631803303956985,
-0.004335866309702396,
-0.036099277436733246,
0.021051978692412376,
0.033037107437849045,
-0.023239633068442345,
-0.041117534041404724,
0.006789267994463444,
0.02839258499443531,
-0.030118484050035477,
-0.01814904995262623,
-0.0017068570014089346,
0.007280129939317703,
-0.012965111061930656,
-0.04084941744804382,
-0.0934676080942154,
-0.0003391093050595373,
0.029531026259064674,
-0.059457018971443176,
0.03833276033401489,
-0.04218914359807968,
-0.09252776205539703,
0.009409504942595959,
0.11057247221469879,
-0.019418081268668175,
-0.060545213520526886,
-0.035176269710063934,
0.0072416323237121105,
-0.012450422160327435,
0.08983683586120605,
0.011867928318679333,
-0.04816337302327156,
-0.017042789608240128,
-0.015759700909256935,
0.08079744130373001,
0.03197688236832619,
0.03546697646379471,
0.04570123180747032,
0.09048169106245041,
0.017389316111803055,
0.009534629993140697,
0.03387833386659622,
-0.006400749087333679,
-0.0037570518907159567,
-0.029116978868842125,
-0.12240611761808395,
0.04131237044930458,
0.05285564810037613,
-3.537726911417849e-8,
-0.09541331231594086,
-0.014523060992360115,
-0.11209286004304886,
0.07689213752746582,
0.03402150049805641,
0.050789665430784225,
-0.013304508291184902,
0.038547348231077194,
-0.007975544780492783,
-0.08398819714784622,
0.05717486888170242,
-0.07094615697860718,
-0.029151886701583862,
0.04504469782114029,
0.019259920343756676,
-0.014841828495264053,
0.01974412426352501,
-0.041449543088674545,
-0.048825208097696304,
0.02123294770717621,
0.02895447425544262,
0.0801696628332138,
0.05862932279706001,
0.006787261925637722,
-0.010604520328342915,
0.01979975216090679,
0.04271673783659935,
0.042015694081783295,
0.13134127855300903,
-0.042029716074466705,
0.006141785066574812,
-0.005834442563354969,
-0.02479582093656063,
-0.020789260044693947,
0.02799084782600403,
0.12071561813354492,
-0.030531341210007668,
-0.020713718608021736,
-0.10543762147426605,
0.018471496179699898,
0.07219788432121277,
0.006499219220131636,
0.027892248705029488,
0.07085058838129044,
0.007447927258908749,
-0.009570126421749592,
0.025289060547947884,
-0.04784225672483444,
0.03975965082645416,
-0.028041154146194458,
0.06598251312971115,
-0.11062394827604294,
0.10087436437606812,
0.08873458206653595,
0.017032774165272713,
-0.002967570908367634,
-0.0042565688490867615,
-0.010009757243096828,
0.025522848591208458,
0.038284435868263245,
0.10988707095384598,
-0.02244543842971325,
0.024974806234240532,
0.06534981727600098
] | null | null | null | null | null | null | null | [
-0.11622121930122375,
-0.04513173550367355,
-0.004263830836862326,
0.004605983849614859,
0.11654199659824371,
-0.03290051594376564,
0.012139170430600643,
-0.01419996377080679,
0.08595103770494461,
-0.07661782205104828,
-0.019858911633491516,
-0.0024059407878667116,
0.07403283566236496,
0.08061706274747849,
-0.0523042231798172,
-0.006035574246197939,
0.03080500289797783,
-0.012166917324066162,
-0.052241504192352295,
-0.05036810785531998,
0.015505434013903141,
0.024278512224555016,
0.03663409501314163,
-0.028224801644682884,
0.058303479105234146,
0.02808917872607708,
-0.039917055517435074,
-0.01856601983308792,
-0.001552556292153895,
0.008964774198830128,
0.08375920355319977,
0.04724912717938423,
-0.0018421970307826996,
0.004580638371407986,
-0.037116605788469315,
-0.0635085254907608,
-0.046616751700639725,
0.05958525463938713,
0.002704496495425701,
-0.015542518347501755,
0.05553482845425606,
-0.032111816108226776,
-0.002816509222611785,
0.06377270072698593,
-0.043579526245594025,
0.04207572713494301,
-0.10082247108221054,
-0.007150416262447834,
0.02918136864900589,
0.05709990859031677,
-0.04426855593919754,
-0.033295661211013794,
-0.013907115906476974,
0.023462627083063126,
-0.010409354232251644,
-0.003942448180168867,
0.0019242592388764024,
-0.006007456220686436,
-0.03527979925274849,
-0.07901328057050705,
0.07570216059684753,
-0.06126415729522705,
-0.009138794615864754,
-0.07285398244857788,
-0.03956466540694237,
0.010845225304365158,
0.013602224178612232,
0.03529821336269379,
0.09162744134664536,
0.0528080053627491,
-0.011046023108065128,
0.12363532930612564,
-0.004658657591789961,
0.07875962555408478,
-0.021175500005483627,
-0.025223933160305023,
-0.05277031660079956,
-0.04182477667927742,
-0.10433512181043625,
-0.0008126202737912536,
0.0026306151412427425,
-0.05247294530272484,
0.037034470587968826,
0.018662704154849052,
0.14265315234661102,
-0.0055647655390203,
0.044931985437870026,
-0.013970287516713142,
-0.012504156678915024,
0.08022454380989075,
-0.08495134115219116,
0.0062889279797673225,
0.09701263904571533,
0.005978740751743317,
0.02214604616165161,
0.037302903831005096,
-0.04776158928871155,
0.020226482301950455,
0.06841316819190979,
0.09905994683504105,
0.012474264949560165,
0.055025894194841385,
-0.008042924106121063,
0.0013948774430900812,
0.018541907891631126,
0.004129312001168728,
-0.038715582340955734,
0.0418199859559536,
0.06640318036079407,
-0.0480208620429039,
0.024072159081697464,
-0.02742752619087696,
-0.002271405654028058,
-0.05717930570244789,
-0.0009263787069357932,
0.0009367457823827863,
0.10245227068662643,
0.035237621515989304,
-0.032487742602825165,
0.12709936499595642,
0.06756796687841415,
0.0011960500851273537,
-0.06088175252079964,
-0.05320350453257561,
0.02201291359961033,
0.0026527848094701767,
0.04509440436959267,
1.540833035941062e-33,
0.04087446257472038,
0.03646861016750336,
-0.04404086619615555,
0.012250316329300404,
-0.022976357489824295,
-0.029451878741383553,
-0.06519336253404617,
0.043496936559677124,
-0.02555513009428978,
-0.11074043065309525,
-0.024760091677308083,
0.04509287327528,
0.017692938446998596,
-0.02616375871002674,
-0.01992831751704216,
-0.07130537927150726,
-0.038521550595760345,
0.01634984090924263,
0.057598236948251724,
-0.07709401845932007,
-0.028267551213502884,
-0.0398334339261055,
-0.011465535499155521,
-0.05332566797733307,
-0.008345277048647404,
-0.04856221005320549,
0.06455254554748535,
-0.06198718771338463,
-0.029979931190609932,
0.004588814917951822,
0.0014628663193434477,
-0.010879455134272575,
-0.01756785437464714,
-0.015580401755869389,
-0.009179706685245037,
-0.029475726187229156,
-0.0636410266160965,
-0.07913388311862946,
0.05696537718176842,
-0.044134534895420074,
-0.08999595046043396,
0.022231345996260643,
-0.025590602308511734,
-0.08225458860397339,
-0.03233293816447258,
0.03238099440932274,
0.015771258622407913,
-0.023759590461850166,
-0.031964562833309174,
-0.09427541494369507,
0.1100224182009697,
-0.0004468659171834588,
0.002843051915988326,
-0.002315736608579755,
-0.0028820319566875696,
0.0058409529738128185,
-0.030457474291324615,
0.0007497323676943779,
0.06725023686885834,
0.03332047536969185,
0.09548437595367432,
0.005324584897607565,
0.013224191963672638,
0.03812325745820999,
0.04174775257706642,
0.017977671697735786,
0.11902210116386414,
0.06115434318780899,
-0.01671667769551277,
0.0695405900478363,
0.03995441272854805,
-0.052846759557724,
-0.020352473482489586,
-0.042671989649534225,
0.00893612951040268,
0.06874974817037582,
0.07038500905036926,
-0.05621655657887459,
-0.004593821708112955,
-0.060707442462444305,
0.03227332606911659,
-0.10905905812978745,
0.14047016203403473,
-0.04437996819615364,
-0.09704156219959259,
-0.010505881160497665,
0.05660347267985344,
-0.07771076261997223,
-0.05531054735183716,
0.04542822763323784,
-0.015332912094891071,
0.01059003360569477,
-0.049839358776807785,
-0.021392857655882835,
0.0819634199142456,
-7.587601598674337e-34,
-0.018972838297486305,
-0.05495992675423622,
-0.042431727051734924,
-0.02183138020336628,
0.0324060432612896,
-0.0023125726729631424,
-0.07863598316907883,
0.041592638939619064,
-0.027469085529446602,
-0.04914620518684387,
-0.06240251660346985,
-0.04234310984611511,
-0.005762245040386915,
0.012906068004667759,
-0.031993500888347626,
0.014450662769377232,
0.044628988951444626,
0.0032738542649894953,
-0.126436248421669,
0.04263025149703026,
0.020283862948417664,
-0.0029071401804685593,
-0.07019303739070892,
-0.018720250576734543,
0.0927034318447113,
0.0007396832224912941,
0.002809301018714905,
0.04271150007843971,
-0.057563453912734985,
-0.08215827494859695,
-0.07863163203001022,
0.02659805491566658,
0.001966949785128236,
-0.06817194819450378,
-0.0017963942373171449,
0.04772838577628136,
0.0419512540102005,
-0.024226900190114975,
0.0011214656988158822,
0.10818012803792953,
0.032789625227451324,
0.025756729766726494,
0.03170640021562576,
-0.052252404391765594,
-0.03638560324907303,
-0.05974334478378296,
-0.06854889541864395,
0.07631803303956985,
-0.004335866309702396,
-0.036099277436733246,
0.021051978692412376,
0.033037107437849045,
-0.023239633068442345,
-0.041117534041404724,
0.006789267994463444,
0.02839258499443531,
-0.030118484050035477,
-0.01814904995262623,
-0.0017068570014089346,
0.007280129939317703,
-0.012965111061930656,
-0.04084941744804382,
-0.0934676080942154,
-0.0003391093050595373,
0.029531026259064674,
-0.059457018971443176,
0.03833276033401489,
-0.04218914359807968,
-0.09252776205539703,
0.009409504942595959,
0.11057247221469879,
-0.019418081268668175,
-0.060545213520526886,
-0.035176269710063934,
0.0072416323237121105,
-0.012450422160327435,
0.08983683586120605,
0.011867928318679333,
-0.04816337302327156,
-0.017042789608240128,
-0.015759700909256935,
0.08079744130373001,
0.03197688236832619,
0.03546697646379471,
0.04570123180747032,
0.09048169106245041,
0.017389316111803055,
0.009534629993140697,
0.03387833386659622,
-0.006400749087333679,
-0.0037570518907159567,
-0.029116978868842125,
-0.12240611761808395,
0.04131237044930458,
0.05285564810037613,
-3.537726911417849e-8,
-0.09541331231594086,
-0.014523060992360115,
-0.11209286004304886,
0.07689213752746582,
0.03402150049805641,
0.050789665430784225,
-0.013304508291184902,
0.038547348231077194,
-0.007975544780492783,
-0.08398819714784622,
0.05717486888170242,
-0.07094615697860718,
-0.029151886701583862,
0.04504469782114029,
0.019259920343756676,
-0.014841828495264053,
0.01974412426352501,
-0.041449543088674545,
-0.048825208097696304,
0.02123294770717621,
0.02895447425544262,
0.0801696628332138,
0.05862932279706001,
0.006787261925637722,
-0.010604520328342915,
0.01979975216090679,
0.04271673783659935,
0.042015694081783295,
0.13134127855300903,
-0.042029716074466705,
0.006141785066574812,
-0.005834442563354969,
-0.02479582093656063,
-0.020789260044693947,
0.02799084782600403,
0.12071561813354492,
-0.030531341210007668,
-0.020713718608021736,
-0.10543762147426605,
0.018471496179699898,
0.07219788432121277,
0.006499219220131636,
0.027892248705029488,
0.07085058838129044,
0.007447927258908749,
-0.009570126421749592,
0.025289060547947884,
-0.04784225672483444,
0.03975965082645416,
-0.028041154146194458,
0.06598251312971115,
-0.11062394827604294,
0.10087436437606812,
0.08873458206653595,
0.017032774165272713,
-0.002967570908367634,
-0.0042565688490867615,
-0.010009757243096828,
0.025522848591208458,
0.038284435868263245,
0.10988707095384598,
-0.02244543842971325,
0.024974806234240532,
0.06534981727600098
] |
1401.1458 | Young-Ho Eom | Young-Ho Eom, Hang-Hyun Jo | Generalized friendship paradox in complex networks: The case of
scientific collaboration | Published in Scientific Reports. 9 pages, 3 figures | Scientific Reports 4, 4603 (2014) | 10.1038/srep04603 | null | cs.SI physics.data-an physics.soc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The friendship paradox states that your friends have on average more friends
than you have. Does the paradox "hold" for other individual characteristics
like income or happiness? To address this question, we generalize the
friendship paradox for arbitrary node characteristics in complex networks. By
analyzing two coauthorship networks of Physical Review journals and Google
Scholar profiles, we find that the generalized friendship paradox (GFP) holds
at the individual and network levels for various characteristics, including the
number of coauthors, the number of citations, and the number of publications.
The origin of the GFP is shown to be rooted in positive correlations between
degree and characteristics. As a fruitful application of the GFP, we suggest
effective and efficient sampling methods for identifying high characteristic
nodes in large-scale networks. Our study on the GFP can shed lights on
understanding the interplay between network structure and node characteristics
in complex networks.
| [
{
"created": "Tue, 7 Jan 2014 17:51:14 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2014 16:59:54 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Apr 2014 09:21:46 GMT",
"version": "v3"
}
] | 2014-04-11 | [
[
"Eom",
"Young-Ho",
""
],
[
"Jo",
"Hang-Hyun",
""
]
] | [
-0.010408886708319187,
0.005308402702212334,
0.029738634824752808,
0.06402497738599777,
0.04012509435415268,
-0.050664592534303665,
-0.013563028536736965,
-0.036349136382341385,
0.07649783045053482,
0.01096044760197401,
0.010164747945964336,
0.0072735873982310295,
0.029353268444538116,
0.02727632224559784,
-0.03370600566267967,
-0.024623330682516098,
-0.03925379738211632,
-0.014418387785553932,
0.009882058948278427,
-0.04174802079796791,
-0.053809620440006256,
-0.036087650805711746,
0.04822497069835663,
-0.05739310383796692,
0.04238981008529663,
-0.0639258325099945,
-0.03259316086769104,
-0.015619338490068913,
0.019146163016557693,
0.004940049257129431,
0.03659135103225708,
0.1015356034040451,
-0.005602843593806028,
0.014345711097121239,
-0.030966298654675484,
0.034823738038539886,
0.021519456058740616,
0.01213693618774414,
0.040125392377376556,
0.0296329278498888,
0.03707508370280266,
-0.011274495162069798,
0.024816744029521942,
0.00013479798508342355,
0.01310909353196621,
0.02790776453912258,
-0.031122490763664246,
0.04883211851119995,
-0.08000728487968445,
0.0699576660990715,
-0.03952633962035179,
0.0433042012155056,
-0.011628399603068829,
0.014544321224093437,
0.12608937919139862,
0.026433387771248817,
-0.011402028612792492,
0.013311679475009441,
-0.033805493265390396,
0.026796279475092888,
0.039767663925886154,
-0.08724486082792282,
-0.055558450520038605,
-0.006204153411090374,
0.06614168733358383,
0.09103525429964066,
-0.02252896875143051,
0.09299610555171967,
-0.07014518231153488,
0.04033874347805977,
0.06662868708372116,
0.015196062624454498,
-0.15407614409923553,
0.06229688227176666,
0.03698217123746872,
0.055646881461143494,
-0.006678835488855839,
0.004932928364723921,
-0.007710420060902834,
0.016845492646098137,
-0.05918778479099274,
0.01736224815249443,
0.021531356498599052,
0.00943042803555727,
-0.060540687292814255,
-0.058071158826351166,
0.03335071727633476,
-0.05713929235935211,
-0.017392992973327637,
0.05632266029715538,
-0.0996207669377327,
0.1511712372303009,
0.007325469516217709,
-0.06453382968902588,
-0.04578198492527008,
0.04215182736515999,
-0.029706263914704323,
-0.07903066277503967,
-0.01952384226024151,
0.08367995172739029,
-0.012098608538508415,
-0.00245003798045218,
0.09477104991674423,
0.006982983555644751,
0.029276862740516663,
0.04980812221765518,
0.007672731764614582,
0.015174705535173416,
0.04129496216773987,
0.015266455709934235,
-0.05587620660662651,
0.08097005635499954,
0.010035361163318157,
-0.020030109211802483,
0.030265038833022118,
-0.0766255334019661,
0.031982339918613434,
0.05266166105866432,
0.03830636665225029,
0.03358350694179535,
0.00099612504709512,
0.05104167014360428,
0.0356055423617363,
-0.081352598965168,
-0.015945106744766235,
0.023572906851768494,
-0.07573548704385757,
1.6348433803190667e-33,
0.058232273906469345,
0.018369577825069427,
0.06713913381099701,
0.012451588176190853,
0.007045764941722155,
0.02428407035768032,
-0.05687076598405838,
-0.041543204337358475,
-0.05924539268016815,
-0.0487554669380188,
-0.06353229284286499,
0.1366748958826065,
0.04858199134469032,
0.0838848203420639,
0.04363179951906204,
-0.024034572765231133,
0.04927507042884827,
0.03978463262319565,
0.028074374422430992,
-0.09511611610651016,
0.09383537620306015,
-0.10809724032878876,
-0.013940224424004555,
0.02785479836165905,
-0.009809426963329315,
-0.033825069665908813,
-0.026095779612660408,
-0.02300925739109516,
0.04890674725174904,
-0.006152368616312742,
0.015844009816646576,
0.026659687981009483,
0.04035647585988045,
-0.04616507515311241,
0.004743555560708046,
0.06815651059150696,
0.03188620135188103,
-0.06504826247692108,
-0.044579386711120605,
-0.06529179960489273,
-0.05111665651202202,
0.031008517369627953,
0.015096154063940048,
-0.03036734275519848,
-0.047348424792289734,
0.05556518957018852,
0.034989822655916214,
-0.04828786849975586,
0.021879171952605247,
-0.04595122113823891,
0.02630683034658432,
-0.03356318548321724,
0.048102863132953644,
0.06383194774389267,
-0.08820680528879166,
0.07974933087825775,
0.003100739559158683,
0.0042266324162483215,
-0.002516709268093109,
0.025449052453041077,
0.018967309966683388,
-0.014064335264265537,
-0.026825111359357834,
-0.04964323341846466,
0.0418664924800396,
0.13500536978244781,
-0.10094191879034042,
-0.057424984872341156,
0.10733472555875778,
0.032669324427843094,
0.07673869282007217,
0.11029093712568283,
-0.09730426967144012,
-0.1373831331729889,
-0.03660064563155174,
0.029408695176243782,
-0.1196211576461792,
-0.030289536342024803,
-0.026086272671818733,
0.07594452053308487,
-0.06018967926502228,
-0.04358607530593872,
-0.08399396389722824,
-0.087328240275383,
-0.055823322385549545,
-0.0056269047781825066,
0.07360222190618515,
-0.01923043467104435,
0.00511078629642725,
0.01890147104859352,
0.03945764899253845,
0.016987981274724007,
0.06797350943088531,
0.008946508169174194,
-0.007394434418529272,
-1.4512673459061116e-33,
-0.10944364219903946,
-0.02672668918967247,
0.08062578737735748,
0.03435218334197998,
0.08542260527610779,
-0.04556834697723389,
-0.03307981789112091,
-0.039289690554142,
-0.018349993973970413,
0.0215199813246727,
-0.028862182050943375,
-0.11886417120695114,
0.01786760985851288,
-0.035794004797935486,
0.04446910321712494,
0.018167998641729355,
0.04227792099118233,
-0.01702609844505787,
0.012305106967687607,
0.020465971902012825,
0.034495968371629715,
-0.020580658689141273,
-0.002454738598316908,
0.030923249199986458,
0.11161169409751892,
0.01727801375091076,
0.03554939478635788,
-0.087799571454525,
-0.08092451840639114,
-0.01821691170334816,
-0.010706143453717232,
0.020635252818465233,
-0.08673890680074692,
-0.0066396272741258144,
0.05861338600516319,
0.06533265113830566,
-0.05254316329956055,
0.0010409767273813486,
-0.02726461924612522,
-0.08280982077121735,
-0.013552711345255375,
-0.021425677463412285,
-0.05555059015750885,
-0.049290597438812256,
-0.014340025372803211,
0.030387340113520622,
0.01066663395613432,
-0.0006410303176380694,
-0.05288924276828766,
-0.0263363067060709,
0.00019243416318204254,
0.025286152958869934,
-0.00466148043051362,
0.040824372321367264,
-0.04467602074146271,
-0.03798705339431763,
-0.006466626655310392,
0.0626285970211029,
0.0770978033542633,
0.05577380582690239,
-0.056597668677568436,
-0.06599459052085876,
-0.07378865033388138,
0.11217818409204483,
-0.041163064539432526,
-0.09008616209030151,
0.07464908808469772,
-0.0032244317699223757,
-0.03694445267319679,
-0.01065764669328928,
-0.009756484068930149,
0.05681197717785835,
0.025364557281136513,
-0.05966370180249214,
-0.03923962637782097,
0.035876136273145676,
0.015577386133372784,
0.030260998755693436,
-0.050066571682691574,
0.022837134078145027,
-0.019813816994428635,
0.08162403851747513,
0.020690586417913437,
-0.027699213474988937,
0.016251584514975548,
-0.08156696707010269,
-0.006482514552772045,
0.03413804993033409,
0.03977693244814873,
0.05955862998962402,
-0.014606006443500519,
-0.010124091058969498,
-0.061820171773433685,
-0.05463194474577904,
-0.041215602308511734,
-4.043494428174199e-8,
-0.09770923107862473,
-0.0005985920433886349,
-0.05124921724200249,
0.054193515330553055,
0.02689826302230358,
0.097372867166996,
0.09932413697242737,
0.047680631279945374,
-0.07010344415903091,
0.08449811488389969,
0.0673496425151825,
-0.006035600323230028,
-0.04540640488266945,
-0.005107393022626638,
0.028348715975880623,
-0.062359973788261414,
0.010298294015228748,
-0.025234442204236984,
0.04673619195818901,
0.0016313379164785147,
0.006838190369307995,
-0.02642747387290001,
-0.02316771075129509,
0.03901403397321701,
-0.012679431587457657,
-0.04402129724621773,
-0.02834872156381607,
-0.05839886888861656,
-0.007927767001092434,
0.02761499024927616,
-0.030776871368288994,
-0.008999370969831944,
0.004239849746227264,
-0.00892623607069254,
0.07778990268707275,
0.05946896970272064,
-0.05968308821320534,
0.03153082728385925,
-0.029246129095554352,
0.08725754171609879,
0.03388284146785736,
0.0396617092192173,
0.004442314151674509,
0.024008380249142647,
0.020162727683782578,
0.024365676566958427,
-0.01428742054849863,
0.03122452087700367,
0.0187588669359684,
-0.05757291242480278,
0.022969676181674004,
-0.09471698850393295,
0.023903202265501022,
-0.07629971951246262,
0.0046122120693326,
-0.051678918302059174,
-0.025050444528460503,
0.043369367718696594,
0.05692789703607559,
-0.04219412803649902,
0.10154694318771362,
-0.04343302547931671,
-0.06804291158914566,
-0.06388222426176071
] | null | null | null | null | null | null | null | [
-0.010408886708319187,
0.005308402702212334,
0.029738634824752808,
0.06402497738599777,
0.04012509435415268,
-0.050664592534303665,
-0.013563028536736965,
-0.036349136382341385,
0.07649783045053482,
0.01096044760197401,
0.010164747945964336,
0.0072735873982310295,
0.029353268444538116,
0.02727632224559784,
-0.03370600566267967,
-0.024623330682516098,
-0.03925379738211632,
-0.014418387785553932,
0.009882058948278427,
-0.04174802079796791,
-0.053809620440006256,
-0.036087650805711746,
0.04822497069835663,
-0.05739310383796692,
0.04238981008529663,
-0.0639258325099945,
-0.03259316086769104,
-0.015619338490068913,
0.019146163016557693,
0.004940049257129431,
0.03659135103225708,
0.1015356034040451,
-0.005602843593806028,
0.014345711097121239,
-0.030966298654675484,
0.034823738038539886,
0.021519456058740616,
0.01213693618774414,
0.040125392377376556,
0.0296329278498888,
0.03707508370280266,
-0.011274495162069798,
0.024816744029521942,
0.00013479798508342355,
0.01310909353196621,
0.02790776453912258,
-0.031122490763664246,
0.04883211851119995,
-0.08000728487968445,
0.0699576660990715,
-0.03952633962035179,
0.0433042012155056,
-0.011628399603068829,
0.014544321224093437,
0.12608937919139862,
0.026433387771248817,
-0.011402028612792492,
0.013311679475009441,
-0.033805493265390396,
0.026796279475092888,
0.039767663925886154,
-0.08724486082792282,
-0.055558450520038605,
-0.006204153411090374,
0.06614168733358383,
0.09103525429964066,
-0.02252896875143051,
0.09299610555171967,
-0.07014518231153488,
0.04033874347805977,
0.06662868708372116,
0.015196062624454498,
-0.15407614409923553,
0.06229688227176666,
0.03698217123746872,
0.055646881461143494,
-0.006678835488855839,
0.004932928364723921,
-0.007710420060902834,
0.016845492646098137,
-0.05918778479099274,
0.01736224815249443,
0.021531356498599052,
0.00943042803555727,
-0.060540687292814255,
-0.058071158826351166,
0.03335071727633476,
-0.05713929235935211,
-0.017392992973327637,
0.05632266029715538,
-0.0996207669377327,
0.1511712372303009,
0.007325469516217709,
-0.06453382968902588,
-0.04578198492527008,
0.04215182736515999,
-0.029706263914704323,
-0.07903066277503967,
-0.01952384226024151,
0.08367995172739029,
-0.012098608538508415,
-0.00245003798045218,
0.09477104991674423,
0.006982983555644751,
0.029276862740516663,
0.04980812221765518,
0.007672731764614582,
0.015174705535173416,
0.04129496216773987,
0.015266455709934235,
-0.05587620660662651,
0.08097005635499954,
0.010035361163318157,
-0.020030109211802483,
0.030265038833022118,
-0.0766255334019661,
0.031982339918613434,
0.05266166105866432,
0.03830636665225029,
0.03358350694179535,
0.00099612504709512,
0.05104167014360428,
0.0356055423617363,
-0.081352598965168,
-0.015945106744766235,
0.023572906851768494,
-0.07573548704385757,
1.6348433803190667e-33,
0.058232273906469345,
0.018369577825069427,
0.06713913381099701,
0.012451588176190853,
0.007045764941722155,
0.02428407035768032,
-0.05687076598405838,
-0.041543204337358475,
-0.05924539268016815,
-0.0487554669380188,
-0.06353229284286499,
0.1366748958826065,
0.04858199134469032,
0.0838848203420639,
0.04363179951906204,
-0.024034572765231133,
0.04927507042884827,
0.03978463262319565,
0.028074374422430992,
-0.09511611610651016,
0.09383537620306015,
-0.10809724032878876,
-0.013940224424004555,
0.02785479836165905,
-0.009809426963329315,
-0.033825069665908813,
-0.026095779612660408,
-0.02300925739109516,
0.04890674725174904,
-0.006152368616312742,
0.015844009816646576,
0.026659687981009483,
0.04035647585988045,
-0.04616507515311241,
0.004743555560708046,
0.06815651059150696,
0.03188620135188103,
-0.06504826247692108,
-0.044579386711120605,
-0.06529179960489273,
-0.05111665651202202,
0.031008517369627953,
0.015096154063940048,
-0.03036734275519848,
-0.047348424792289734,
0.05556518957018852,
0.034989822655916214,
-0.04828786849975586,
0.021879171952605247,
-0.04595122113823891,
0.02630683034658432,
-0.03356318548321724,
0.048102863132953644,
0.06383194774389267,
-0.08820680528879166,
0.07974933087825775,
0.003100739559158683,
0.0042266324162483215,
-0.002516709268093109,
0.025449052453041077,
0.018967309966683388,
-0.014064335264265537,
-0.026825111359357834,
-0.04964323341846466,
0.0418664924800396,
0.13500536978244781,
-0.10094191879034042,
-0.057424984872341156,
0.10733472555875778,
0.032669324427843094,
0.07673869282007217,
0.11029093712568283,
-0.09730426967144012,
-0.1373831331729889,
-0.03660064563155174,
0.029408695176243782,
-0.1196211576461792,
-0.030289536342024803,
-0.026086272671818733,
0.07594452053308487,
-0.06018967926502228,
-0.04358607530593872,
-0.08399396389722824,
-0.087328240275383,
-0.055823322385549545,
-0.0056269047781825066,
0.07360222190618515,
-0.01923043467104435,
0.00511078629642725,
0.01890147104859352,
0.03945764899253845,
0.016987981274724007,
0.06797350943088531,
0.008946508169174194,
-0.007394434418529272,
-1.4512673459061116e-33,
-0.10944364219903946,
-0.02672668918967247,
0.08062578737735748,
0.03435218334197998,
0.08542260527610779,
-0.04556834697723389,
-0.03307981789112091,
-0.039289690554142,
-0.018349993973970413,
0.0215199813246727,
-0.028862182050943375,
-0.11886417120695114,
0.01786760985851288,
-0.035794004797935486,
0.04446910321712494,
0.018167998641729355,
0.04227792099118233,
-0.01702609844505787,
0.012305106967687607,
0.020465971902012825,
0.034495968371629715,
-0.020580658689141273,
-0.002454738598316908,
0.030923249199986458,
0.11161169409751892,
0.01727801375091076,
0.03554939478635788,
-0.087799571454525,
-0.08092451840639114,
-0.01821691170334816,
-0.010706143453717232,
0.020635252818465233,
-0.08673890680074692,
-0.0066396272741258144,
0.05861338600516319,
0.06533265113830566,
-0.05254316329956055,
0.0010409767273813486,
-0.02726461924612522,
-0.08280982077121735,
-0.013552711345255375,
-0.021425677463412285,
-0.05555059015750885,
-0.049290597438812256,
-0.014340025372803211,
0.030387340113520622,
0.01066663395613432,
-0.0006410303176380694,
-0.05288924276828766,
-0.0263363067060709,
0.00019243416318204254,
0.025286152958869934,
-0.00466148043051362,
0.040824372321367264,
-0.04467602074146271,
-0.03798705339431763,
-0.006466626655310392,
0.0626285970211029,
0.0770978033542633,
0.05577380582690239,
-0.056597668677568436,
-0.06599459052085876,
-0.07378865033388138,
0.11217818409204483,
-0.041163064539432526,
-0.09008616209030151,
0.07464908808469772,
-0.0032244317699223757,
-0.03694445267319679,
-0.01065764669328928,
-0.009756484068930149,
0.05681197717785835,
0.025364557281136513,
-0.05966370180249214,
-0.03923962637782097,
0.035876136273145676,
0.015577386133372784,
0.030260998755693436,
-0.050066571682691574,
0.022837134078145027,
-0.019813816994428635,
0.08162403851747513,
0.020690586417913437,
-0.027699213474988937,
0.016251584514975548,
-0.08156696707010269,
-0.006482514552772045,
0.03413804993033409,
0.03977693244814873,
0.05955862998962402,
-0.014606006443500519,
-0.010124091058969498,
-0.061820171773433685,
-0.05463194474577904,
-0.041215602308511734,
-4.043494428174199e-8,
-0.09770923107862473,
-0.0005985920433886349,
-0.05124921724200249,
0.054193515330553055,
0.02689826302230358,
0.097372867166996,
0.09932413697242737,
0.047680631279945374,
-0.07010344415903091,
0.08449811488389969,
0.0673496425151825,
-0.006035600323230028,
-0.04540640488266945,
-0.005107393022626638,
0.028348715975880623,
-0.062359973788261414,
0.010298294015228748,
-0.025234442204236984,
0.04673619195818901,
0.0016313379164785147,
0.006838190369307995,
-0.02642747387290001,
-0.02316771075129509,
0.03901403397321701,
-0.012679431587457657,
-0.04402129724621773,
-0.02834872156381607,
-0.05839886888861656,
-0.007927767001092434,
0.02761499024927616,
-0.030776871368288994,
-0.008999370969831944,
0.004239849746227264,
-0.00892623607069254,
0.07778990268707275,
0.05946896970272064,
-0.05968308821320534,
0.03153082728385925,
-0.029246129095554352,
0.08725754171609879,
0.03388284146785736,
0.0396617092192173,
0.004442314151674509,
0.024008380249142647,
0.020162727683782578,
0.024365676566958427,
-0.01428742054849863,
0.03122452087700367,
0.0187588669359684,
-0.05757291242480278,
0.022969676181674004,
-0.09471698850393295,
0.023903202265501022,
-0.07629971951246262,
0.0046122120693326,
-0.051678918302059174,
-0.025050444528460503,
0.043369367718696594,
0.05692789703607559,
-0.04219412803649902,
0.10154694318771362,
-0.04343302547931671,
-0.06804291158914566,
-0.06388222426176071
] |
1401.1460 | Jan Rochel | Clemens Grabmayer and Jan Rochel | Maximal Sharing in the Lambda Calculus with letrec | 18 pages, plus 19 pages appendix | null | 10.1145/2628136.2628148 | null | cs.PL | http://creativecommons.org/licenses/publicdomain/ | Increasing sharing in programs is desirable to compactify the code, and to
avoid duplication of reduction work at run-time, thereby speeding up execution.
We show how a maximal degree of sharing can be obtained for programs expressed
as terms in the lambda calculus with letrec. We introduce a notion of `maximal
compactness' for lambda-letrec-terms among all terms with the same infinite
unfolding. Instead of defined purely syntactically, this notion is based on a
graph semantics. lambda-letrec-terms are interpreted as first-order term graphs
so that unfolding equivalence between terms is preserved and reflected through
bisimilarity of the term graph interpretations. Compactness of the term graphs
can then be compared via functional bisimulation.
We describe practical and efficient methods for the following two problems:
transforming a lambda-letrec-term into a maximally compact form; and deciding
whether two lambda-letrec-terms are unfolding-equivalent. The transformation of
a lambda-letrec-term $L$ into maximally compact form $L_0$ proceeds in three
steps:
(i) translate L into its term graph $G = [[ L ]]$; (ii) compute the maximally
shared form of $G$ as its bisimulation collapse $G_0$; (iii) read back a
lambda-letrec-term $L_0$ from the term graph $G_0$ with the property $[[ L_0 ]]
= G_0$. This guarantees that $L_0$ and $L$ have the same unfolding, and that
$L_0$ exhibits maximal sharing.
The procedure for deciding whether two given lambda-letrec-terms $L_1$ and
$L_2$ are unfolding-equivalent computes their term graph interpretations $[[
L_1 ]]$ and $[[ L_2 ]]$, and checks whether these term graphs are bisimilar.
For illustration, we also provide a readily usable implementation.
| [
{
"created": "Tue, 7 Jan 2014 18:01:41 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jan 2014 14:42:02 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Apr 2014 12:46:41 GMT",
"version": "v3"
},
{
"created": "Thu, 17 Apr 2014 13:05:03 GMT",
"version": "v4"
},
{
"created": "Mon, 23 Jun 2014 21:41:15 GMT",
"version": "v5"
}
] | 2015-12-04 | [
[
"Grabmayer",
"Clemens",
""
],
[
"Rochel",
"Jan",
""
]
] | [
-0.06080389395356178,
0.012175418436527252,
-0.02168828435242176,
-0.038466017693281174,
-0.03757118806242943,
-0.06491352617740631,
0.0012258175993338227,
-0.005147632677108049,
-0.01836533658206463,
-0.0051246569491922855,
-0.054121945053339005,
0.017085686326026917,
0.01460221502929926,
0.08165331929922104,
0.09841088950634003,
0.05420874059200287,
0.021786442026495934,
0.02369166910648346,
-0.043800123035907745,
0.0025462089106440544,
0.04127435013651848,
-0.020135389640927315,
-0.10469773411750793,
0.051293909549713135,
0.027133261784911156,
-0.04455798491835594,
-0.1070747822523117,
-0.014221038669347763,
0.14260289072990417,
0.011602040380239487,
0.01561919879168272,
0.04537215456366539,
0.021121464669704437,
0.08175253868103027,
-0.004660433623939753,
0.04557550698518753,
-0.06077058985829353,
-0.06292256712913513,
-0.034065891057252884,
0.0030412902124226093,
-0.0659962147474289,
0.07282182574272156,
-0.05913272127509117,
-0.0008274544379673898,
-0.008963105268776417,
0.0065788091160357,
0.026651745662093163,
-0.000725951511412859,
-0.057861410081386566,
-0.054362498223781586,
-0.056661102920770645,
0.024776557460427284,
-0.10571922361850739,
-0.029265880584716797,
0.06351441144943237,
-0.016122423112392426,
0.019191373139619827,
-0.06147775799036026,
-0.04325880855321884,
-0.04099585488438606,
-0.09343859553337097,
-0.015413543209433556,
-0.017634566873311996,
0.02071339264512062,
-0.01796971820294857,
0.012275420129299164,
0.09612004458904266,
0.012497610412538052,
0.09813615679740906,
0.09847364574670792,
-0.05353396385908127,
-0.007199333515018225,
-0.015120942145586014,
0.01158516388386488,
0.0650794506072998,
-0.009380625560879707,
0.11637158691883087,
0.026909904554486275,
-0.021801693364977837,
-0.028437620028853416,
-0.021321244537830353,
0.045800428837537766,
-0.010290492326021194,
0.01596628874540329,
-0.019235026091337204,
0.011124858632683754,
-0.002919560531154275,
-0.05040630325675011,
0.13678383827209473,
0.007641419768333435,
-0.04605221003293991,
-0.039095450192689896,
0.04181592911481857,
0.06473412364721298,
0.011326311156153679,
-0.0325092189013958,
0.04508550837635994,
-0.017000095918774605,
-0.0028100961353629827,
0.09737536311149597,
-0.0107453353703022,
0.09640683233737946,
0.04261033982038498,
-0.12226761877536774,
-0.004407328087836504,
-0.0034299364779144526,
-0.0006554581341333687,
-0.0178126972168684,
-0.021933047100901604,
-0.04297676682472229,
0.0033864998258650303,
-0.003389781340956688,
0.0333491712808609,
0.07428507506847382,
-0.05730477720499039,
-0.047617532312870026,
0.024852100759744644,
-0.03306935727596283,
0.09899170696735382,
0.04435190558433533,
0.06371398270130157,
-0.00013342020974960178,
0.0385923832654953,
0.08674879372119904,
-0.017235882580280304,
-0.026291873306035995,
-0.059097833931446075,
2.01726603911712e-33,
-0.04092235118150711,
0.02960795909166336,
0.02234463021159172,
0.02230222150683403,
0.04131961613893509,
0.03243134543299675,
0.026934603229165077,
0.032241012901067734,
-0.09142682701349258,
0.046528808772563934,
0.07579749077558517,
0.09299572557210922,
0.014389784075319767,
0.09364631026983261,
0.0847906842827797,
-0.04678034782409668,
0.0851307362318039,
0.045231178402900696,
-0.04419807344675064,
-0.09319061040878296,
0.048253316432237625,
0.05133267864584923,
-0.07707270234823227,
-0.04021168127655983,
0.0005314679001457989,
0.0012001271825283766,
0.012148149311542511,
-0.01575862430036068,
-0.0037369143683463335,
0.00024172753910534084,
-0.08153578639030457,
-0.031763315200805664,
0.02764187939465046,
0.0985182672739029,
0.044398680329322815,
-0.0031706609297543764,
0.01390946563333273,
-0.030099239200353622,
-0.007044939324259758,
-0.016701383516192436,
-0.01693648099899292,
0.03149930387735367,
-0.016998352482914925,
-0.02521904557943344,
0.027217602357268333,
-0.1182871162891388,
-0.06930570304393768,
0.06250748783349991,
-0.030728459358215332,
-0.07645898312330246,
0.04826361685991287,
0.04256606847047806,
-0.02756459079682827,
0.008111975155770779,
-0.019972413778305054,
0.004416404291987419,
0.0004333115939516574,
0.040801528841257095,
-0.00392739474773407,
0.11731152981519699,
-0.098628468811512,
0.02090957947075367,
0.013849728740751743,
0.0445476770401001,
-0.004922683350741863,
-0.02384120039641857,
-0.11981792002916336,
0.013874386437237263,
0.10760748386383057,
0.019873877987265587,
-0.10737111419439316,
0.07463676482439041,
-0.029093211516737938,
-0.03382609784603119,
0.05820323899388313,
-0.07525916397571564,
-0.009570120833814144,
-0.12619589269161224,
-0.027413735166192055,
-0.02994413860142231,
-0.021344874054193497,
0.048242490738630295,
0.05631847679615021,
0.03243231400847435,
-0.0539151206612587,
-0.11868323385715485,
0.027595415711402893,
-0.002595322672277689,
-0.007335549220442772,
-0.05180269479751587,
-0.12414633482694626,
-0.03859961777925491,
0.046430859714746475,
-0.06139010563492775,
0.06041686609387398,
-4.926302133044352e-33,
0.032013844698667526,
-0.04503694549202919,
-0.002726377220824361,
0.009061502292752266,
-0.056768205016851425,
-0.13195478916168213,
0.03179127722978592,
-0.06702236086130142,
-0.07867880910634995,
-0.023875726386904716,
-0.040877025574445724,
-0.012722630985081196,
0.07946557551622391,
0.011925678700208664,
0.040726881474256516,
-0.026984119787812233,
-0.013455483131110668,
-0.06576194614171982,
-0.052970606833696365,
0.12264622002840042,
0.016807796433568,
0.01694668084383011,
-0.03904047980904579,
-0.007249448448419571,
0.08534792065620422,
0.02840576134622097,
-0.036711763590574265,
0.04639169201254845,
0.07167188823223114,
0.015147984959185123,
-0.05457250773906708,
-0.018964283168315887,
-0.052863191813230515,
-0.0850435122847557,
-0.001238336437381804,
-0.06592247635126114,
0.026870189234614372,
0.05394026264548302,
0.016420748084783554,
-0.028269443660974503,
0.07112663984298706,
-0.047311145812273026,
-0.01983105204999447,
-0.01713717170059681,
0.0448567271232605,
-0.01716936193406582,
-0.06894003599882126,
0.024203334003686905,
-0.023552831262350082,
-0.030196530744433403,
-0.0012270427541807294,
-0.030662300065159798,
-0.004460405092686415,
0.014757925644516945,
-0.008990544825792313,
-0.05212666839361191,
0.024397926405072212,
-0.034387391060590744,
-0.004651522263884544,
-0.08715798705816269,
0.03833165392279625,
-0.03135359287261963,
-0.02269040048122406,
0.010317263193428516,
0.06309279799461365,
-0.052388403564691544,
-0.054679516702890396,
-0.08651752769947052,
0.009973953478038311,
-0.028582734987139702,
-0.007929342798888683,
-0.007387993391603231,
-0.10438089817762375,
-0.03466121852397919,
-0.037072792649269104,
0.0035334271378815174,
0.041779775172472,
0.004638100042939186,
-0.00608955230563879,
0.0354677252471447,
-0.0004099429934285581,
-0.02897721901535988,
0.034995187073946,
0.014872821979224682,
-0.026814473792910576,
-0.027415698394179344,
0.023301828652620316,
0.07548097521066666,
0.009571867994964123,
-0.020118435844779015,
-0.0011999154230579734,
0.0019814337138086557,
-0.00019446987425908446,
0.03219445049762726,
0.022247275337576866,
-4.906585004960107e-8,
-0.048759814351797104,
-0.02335827238857746,
-0.046425316482782364,
0.043510518968105316,
0.024682849645614624,
-0.0520438626408577,
-0.017796415835618973,
-0.022142130881547928,
-0.03893541172146797,
-0.013862879015505314,
0.057974301278591156,
0.05046984553337097,
-0.07232695817947388,
0.0019391115056350827,
-0.00249333749525249,
0.08349756896495819,
-0.004729108884930611,
-0.07870618253946304,
-0.013888049870729446,
0.04685923829674721,
-0.13644060492515564,
0.004682122264057398,
-0.05166088044643402,
0.06794826686382294,
-0.06688206642866135,
-0.08802862465381622,
0.017791327089071274,
0.07628923654556274,
0.038682132959365845,
0.04263095557689667,
0.019786017015576363,
0.04297741502523422,
0.06216423213481903,
0.014204924926161766,
0.026527229696512222,
0.02758529782295227,
0.005619336385279894,
0.06819882243871689,
-0.006067181471735239,
-0.011393297463655472,
0.03389058634638786,
0.09693941473960876,
-0.008958613499999046,
0.02215048484504223,
0.05720663070678711,
-0.0955718457698822,
0.033574726432561874,
0.03724949434399605,
0.0046687619760632515,
-0.00751544488593936,
-0.030279578641057014,
0.05644725263118744,
-0.08767379075288773,
-0.036661792546510696,
-0.06789465993642807,
0.11679615825414658,
-0.06582894176244736,
-0.04427100345492363,
-0.009412380866706371,
0.07783296704292297,
-0.006983383558690548,
0.0211824681609869,
0.05092582851648331,
-0.0036171667743474245
] | null | null | null | null | null | null | null | [
-0.06080389395356178,
0.012175418436527252,
-0.02168828435242176,
-0.038466017693281174,
-0.03757118806242943,
-0.06491352617740631,
0.0012258175993338227,
-0.005147632677108049,
-0.01836533658206463,
-0.0051246569491922855,
-0.054121945053339005,
0.017085686326026917,
0.01460221502929926,
0.08165331929922104,
0.09841088950634003,
0.05420874059200287,
0.021786442026495934,
0.02369166910648346,
-0.043800123035907745,
0.0025462089106440544,
0.04127435013651848,
-0.020135389640927315,
-0.10469773411750793,
0.051293909549713135,
0.027133261784911156,
-0.04455798491835594,
-0.1070747822523117,
-0.014221038669347763,
0.14260289072990417,
0.011602040380239487,
0.01561919879168272,
0.04537215456366539,
0.021121464669704437,
0.08175253868103027,
-0.004660433623939753,
0.04557550698518753,
-0.06077058985829353,
-0.06292256712913513,
-0.034065891057252884,
0.0030412902124226093,
-0.0659962147474289,
0.07282182574272156,
-0.05913272127509117,
-0.0008274544379673898,
-0.008963105268776417,
0.0065788091160357,
0.026651745662093163,
-0.000725951511412859,
-0.057861410081386566,
-0.054362498223781586,
-0.056661102920770645,
0.024776557460427284,
-0.10571922361850739,
-0.029265880584716797,
0.06351441144943237,
-0.016122423112392426,
0.019191373139619827,
-0.06147775799036026,
-0.04325880855321884,
-0.04099585488438606,
-0.09343859553337097,
-0.015413543209433556,
-0.017634566873311996,
0.02071339264512062,
-0.01796971820294857,
0.012275420129299164,
0.09612004458904266,
0.012497610412538052,
0.09813615679740906,
0.09847364574670792,
-0.05353396385908127,
-0.007199333515018225,
-0.015120942145586014,
0.01158516388386488,
0.0650794506072998,
-0.009380625560879707,
0.11637158691883087,
0.026909904554486275,
-0.021801693364977837,
-0.028437620028853416,
-0.021321244537830353,
0.045800428837537766,
-0.010290492326021194,
0.01596628874540329,
-0.019235026091337204,
0.011124858632683754,
-0.002919560531154275,
-0.05040630325675011,
0.13678383827209473,
0.007641419768333435,
-0.04605221003293991,
-0.039095450192689896,
0.04181592911481857,
0.06473412364721298,
0.011326311156153679,
-0.0325092189013958,
0.04508550837635994,
-0.017000095918774605,
-0.0028100961353629827,
0.09737536311149597,
-0.0107453353703022,
0.09640683233737946,
0.04261033982038498,
-0.12226761877536774,
-0.004407328087836504,
-0.0034299364779144526,
-0.0006554581341333687,
-0.0178126972168684,
-0.021933047100901604,
-0.04297676682472229,
0.0033864998258650303,
-0.003389781340956688,
0.0333491712808609,
0.07428507506847382,
-0.05730477720499039,
-0.047617532312870026,
0.024852100759744644,
-0.03306935727596283,
0.09899170696735382,
0.04435190558433533,
0.06371398270130157,
-0.00013342020974960178,
0.0385923832654953,
0.08674879372119904,
-0.017235882580280304,
-0.026291873306035995,
-0.059097833931446075,
2.01726603911712e-33,
-0.04092235118150711,
0.02960795909166336,
0.02234463021159172,
0.02230222150683403,
0.04131961613893509,
0.03243134543299675,
0.026934603229165077,
0.032241012901067734,
-0.09142682701349258,
0.046528808772563934,
0.07579749077558517,
0.09299572557210922,
0.014389784075319767,
0.09364631026983261,
0.0847906842827797,
-0.04678034782409668,
0.0851307362318039,
0.045231178402900696,
-0.04419807344675064,
-0.09319061040878296,
0.048253316432237625,
0.05133267864584923,
-0.07707270234823227,
-0.04021168127655983,
0.0005314679001457989,
0.0012001271825283766,
0.012148149311542511,
-0.01575862430036068,
-0.0037369143683463335,
0.00024172753910534084,
-0.08153578639030457,
-0.031763315200805664,
0.02764187939465046,
0.0985182672739029,
0.044398680329322815,
-0.0031706609297543764,
0.01390946563333273,
-0.030099239200353622,
-0.007044939324259758,
-0.016701383516192436,
-0.01693648099899292,
0.03149930387735367,
-0.016998352482914925,
-0.02521904557943344,
0.027217602357268333,
-0.1182871162891388,
-0.06930570304393768,
0.06250748783349991,
-0.030728459358215332,
-0.07645898312330246,
0.04826361685991287,
0.04256606847047806,
-0.02756459079682827,
0.008111975155770779,
-0.019972413778305054,
0.004416404291987419,
0.0004333115939516574,
0.040801528841257095,
-0.00392739474773407,
0.11731152981519699,
-0.098628468811512,
0.02090957947075367,
0.013849728740751743,
0.0445476770401001,
-0.004922683350741863,
-0.02384120039641857,
-0.11981792002916336,
0.013874386437237263,
0.10760748386383057,
0.019873877987265587,
-0.10737111419439316,
0.07463676482439041,
-0.029093211516737938,
-0.03382609784603119,
0.05820323899388313,
-0.07525916397571564,
-0.009570120833814144,
-0.12619589269161224,
-0.027413735166192055,
-0.02994413860142231,
-0.021344874054193497,
0.048242490738630295,
0.05631847679615021,
0.03243231400847435,
-0.0539151206612587,
-0.11868323385715485,
0.027595415711402893,
-0.002595322672277689,
-0.007335549220442772,
-0.05180269479751587,
-0.12414633482694626,
-0.03859961777925491,
0.046430859714746475,
-0.06139010563492775,
0.06041686609387398,
-4.926302133044352e-33,
0.032013844698667526,
-0.04503694549202919,
-0.002726377220824361,
0.009061502292752266,
-0.056768205016851425,
-0.13195478916168213,
0.03179127722978592,
-0.06702236086130142,
-0.07867880910634995,
-0.023875726386904716,
-0.040877025574445724,
-0.012722630985081196,
0.07946557551622391,
0.011925678700208664,
0.040726881474256516,
-0.026984119787812233,
-0.013455483131110668,
-0.06576194614171982,
-0.052970606833696365,
0.12264622002840042,
0.016807796433568,
0.01694668084383011,
-0.03904047980904579,
-0.007249448448419571,
0.08534792065620422,
0.02840576134622097,
-0.036711763590574265,
0.04639169201254845,
0.07167188823223114,
0.015147984959185123,
-0.05457250773906708,
-0.018964283168315887,
-0.052863191813230515,
-0.0850435122847557,
-0.001238336437381804,
-0.06592247635126114,
0.026870189234614372,
0.05394026264548302,
0.016420748084783554,
-0.028269443660974503,
0.07112663984298706,
-0.047311145812273026,
-0.01983105204999447,
-0.01713717170059681,
0.0448567271232605,
-0.01716936193406582,
-0.06894003599882126,
0.024203334003686905,
-0.023552831262350082,
-0.030196530744433403,
-0.0012270427541807294,
-0.030662300065159798,
-0.004460405092686415,
0.014757925644516945,
-0.008990544825792313,
-0.05212666839361191,
0.024397926405072212,
-0.034387391060590744,
-0.004651522263884544,
-0.08715798705816269,
0.03833165392279625,
-0.03135359287261963,
-0.02269040048122406,
0.010317263193428516,
0.06309279799461365,
-0.052388403564691544,
-0.054679516702890396,
-0.08651752769947052,
0.009973953478038311,
-0.028582734987139702,
-0.007929342798888683,
-0.007387993391603231,
-0.10438089817762375,
-0.03466121852397919,
-0.037072792649269104,
0.0035334271378815174,
0.041779775172472,
0.004638100042939186,
-0.00608955230563879,
0.0354677252471447,
-0.0004099429934285581,
-0.02897721901535988,
0.034995187073946,
0.014872821979224682,
-0.026814473792910576,
-0.027415698394179344,
0.023301828652620316,
0.07548097521066666,
0.009571867994964123,
-0.020118435844779015,
-0.0011999154230579734,
0.0019814337138086557,
-0.00019446987425908446,
0.03219445049762726,
0.022247275337576866,
-4.906585004960107e-8,
-0.048759814351797104,
-0.02335827238857746,
-0.046425316482782364,
0.043510518968105316,
0.024682849645614624,
-0.0520438626408577,
-0.017796415835618973,
-0.022142130881547928,
-0.03893541172146797,
-0.013862879015505314,
0.057974301278591156,
0.05046984553337097,
-0.07232695817947388,
0.0019391115056350827,
-0.00249333749525249,
0.08349756896495819,
-0.004729108884930611,
-0.07870618253946304,
-0.013888049870729446,
0.04685923829674721,
-0.13644060492515564,
0.004682122264057398,
-0.05166088044643402,
0.06794826686382294,
-0.06688206642866135,
-0.08802862465381622,
0.017791327089071274,
0.07628923654556274,
0.038682132959365845,
0.04263095557689667,
0.019786017015576363,
0.04297741502523422,
0.06216423213481903,
0.014204924926161766,
0.026527229696512222,
0.02758529782295227,
0.005619336385279894,
0.06819882243871689,
-0.006067181471735239,
-0.011393297463655472,
0.03389058634638786,
0.09693941473960876,
-0.008958613499999046,
0.02215048484504223,
0.05720663070678711,
-0.0955718457698822,
0.033574726432561874,
0.03724949434399605,
0.0046687619760632515,
-0.00751544488593936,
-0.030279578641057014,
0.05644725263118744,
-0.08767379075288773,
-0.036661792546510696,
-0.06789465993642807,
0.11679615825414658,
-0.06582894176244736,
-0.04427100345492363,
-0.009412380866706371,
0.07783296704292297,
-0.006983383558690548,
0.0211824681609869,
0.05092582851648331,
-0.0036171667743474245
] |
1401.1465 | David Balduzzi | David Balduzzi | Cortical prediction markets | To appear, AAMAS 2014 | null | null | null | cs.AI cs.GT cs.LG cs.MA q-bio.NC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate cortical learning from the perspective of mechanism design.
First, we show that discretizing standard models of neurons and synaptic
plasticity leads to rational agents maximizing simple scoring rules. Second,
our main result is that the scoring rules are proper, implying that neurons
faithfully encode expected utilities in their synaptic weights and encode
high-scoring outcomes in their spikes. Third, with this foundation in hand, we
propose a biologically plausible mechanism whereby neurons backpropagate
incentives which allows them to optimize their usefulness to the rest of
cortex. Finally, experiments show that networks that backpropagate incentives
can learn simple tasks.
| [
{
"created": "Tue, 7 Jan 2014 18:28:20 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Balduzzi",
"David",
""
]
] | [
-0.061499178409576416,
-0.03445637226104736,
0.004874913487583399,
-0.001077247434295714,
0.02859394997358322,
0.049063872545957565,
0.024328546598553658,
-0.07016950845718384,
0.04132464528083801,
0.07021743059158325,
-0.04717928543686867,
0.00604917062446475,
-0.024040237069129944,
0.05029728636145592,
-0.022151578217744827,
-0.0704713836312294,
0.0031462775077670813,
0.08066891878843307,
-0.0566575825214386,
-0.013517714105546474,
0.012692873366177082,
-0.033723700791597366,
0.004295819904655218,
-0.0007361386087723076,
0.008111035451292992,
0.06373899430036545,
-0.017918996512889862,
0.00011888386507052928,
0.029617860913276672,
-0.05383698269724846,
0.09667859971523285,
-0.10847526788711548,
0.01158300694078207,
-0.009571148082613945,
-0.04896009340882301,
0.03447205573320389,
-0.08467692136764526,
-0.09649579972028732,
0.027681540697813034,
0.02352915331721306,
-0.005659100133925676,
0.012745214626193047,
0.012258521281182766,
0.0781005322933197,
0.0484762117266655,
0.021950196474790573,
0.04033775255084038,
-0.05882779508829117,
-0.05404547601938248,
-0.06992335617542267,
-0.012027849443256855,
-0.02182062529027462,
0.005926971789449453,
0.0213484950363636,
0.06021645665168762,
0.10657292604446411,
0.019297869876027107,
0.07876376062631607,
-0.04461260885000229,
-0.02950276806950569,
-0.009269115515053272,
-0.0946243479847908,
-0.03636222332715988,
-0.034460701048374176,
0.031685374677181244,
0.01591518707573414,
-0.06731251627206802,
-0.00006639987987000495,
-0.03208645433187485,
-0.047534748911857605,
0.08130951225757599,
0.05235300585627556,
0.002211606362834573,
-0.07023791968822479,
0.12182988971471786,
0.059377361088991165,
-0.07747109979391098,
-0.0045388974249362946,
-0.010135611519217491,
-0.07603184878826141,
0.0006764737772755325,
0.00043607663246802986,
0.040141720324754715,
0.046919871121644974,
0.13502684235572815,
-0.019932186231017113,
0.006779827643185854,
0.028392981737852097,
0.05907377600669861,
0.02651924453675747,
-0.0055861868895590305,
-0.016935870051383972,
-0.0782485157251358,
-0.05683210492134094,
-0.07804273813962936,
0.03464460000395775,
-0.0069022104144096375,
-0.0842461958527565,
-0.05156904086470604,
0.06702176481485367,
-0.07432131469249725,
0.05391829460859299,
0.005521370097994804,
0.039130985736846924,
0.09217450022697449,
-0.048191070556640625,
0.0689195916056633,
0.020631810650229454,
0.12542402744293213,
-0.02456335909664631,
-0.053413741290569305,
0.06627744436264038,
0.02826903574168682,
0.0685441792011261,
0.02966342493891716,
0.038981761783361435,
-0.04460921138525009,
0.05590733885765076,
0.08326761424541473,
-0.00881291925907135,
0.02060939371585846,
-0.023917749524116516,
-0.05227619409561157,
-0.07106713205575943,
-0.045699845999479294,
-0.02502228505909443,
-0.05933848023414612,
2.269823755456173e-33,
0.031712885946035385,
0.04205041751265526,
0.0766584724187851,
-0.04176711663603783,
0.034560997039079666,
-0.0790824145078659,
-0.014897046610713005,
-0.013783044181764126,
0.058740291744470596,
-0.015132791362702847,
-0.0648358091711998,
0.03894437849521637,
-0.04716901108622551,
0.11255341023206711,
0.09018433839082718,
-0.018323538824915886,
-0.0889560878276825,
-0.016456294804811478,
0.05286112800240517,
-0.07988110929727554,
0.04094049707055092,
-0.02023204229772091,
0.019501354545354843,
-0.051762230694293976,
-0.02295149862766266,
-0.06047617271542549,
0.007302431855350733,
0.02167038433253765,
0.019091857597231865,
0.018113765865564346,
-0.031849633902311325,
0.054913170635700226,
0.03658897802233696,
-0.009754291735589504,
-0.029690010473132133,
0.0033901804126799107,
-0.029696736484766006,
-0.018784919753670692,
0.07684775441884995,
-0.022949013859033585,
0.029883556067943573,
-0.048471733927726746,
0.01749337837100029,
0.0034744886215776205,
-0.042865946888923645,
0.015771538019180298,
-0.004711840767413378,
-0.05683750659227371,
-0.06458626687526703,
-0.02349449135363102,
-0.006321331020444632,
0.03945215046405792,
0.08430898934602737,
-0.10047616809606552,
0.0223672054708004,
0.013631475158035755,
-0.04485400393605232,
0.0014005437260493636,
-0.05377259477972984,
0.04074174910783768,
0.0015379167161881924,
-0.00570561271160841,
0.0365237258374691,
0.0830860361456871,
-0.025327257812023163,
0.0690399706363678,
-0.014927147887647152,
0.02683860808610916,
0.06752461940050125,
0.022318443283438683,
-0.04064980521798134,
0.06797122210264206,
-0.14044520258903503,
-0.09949322789907455,
-0.025634728372097015,
0.007854976691305637,
0.10718715190887451,
-0.05452064424753189,
-0.05678217113018036,
-0.05958569049835205,
-0.038124896585941315,
-0.029060179367661476,
0.0022465393412858248,
0.022762401029467583,
0.006418630946427584,
0.048236217349767685,
0.04341695085167885,
-0.015670206397771835,
0.01615738868713379,
0.024860437959432602,
-0.0710073933005333,
-0.029291607439517975,
0.045711807906627655,
-0.005834891460835934,
-0.019173728302121162,
-3.305548521887829e-33,
-0.08133595436811447,
-0.030026361346244812,
-0.07852262258529663,
-0.026891931891441345,
-0.051359307020902634,
0.02958396077156067,
-0.06817886978387833,
-0.11384695023298264,
-0.06217336282134056,
0.04618734493851662,
-0.030422957614064217,
-0.015411588363349438,
0.00900276843458414,
0.0005528760957531631,
0.014880510047078133,
-0.047374505549669266,
-0.06522396951913834,
0.061346642673015594,
0.07315444946289062,
-0.0726349726319313,
0.10372046381235123,
0.11253064125776291,
-0.055962271988391876,
-0.027744777500629425,
0.028541240841150284,
0.031183939427137375,
-0.08636000007390976,
0.07433583587408066,
0.014128184877336025,
0.06501451879739761,
-0.10291746258735657,
-0.053494058549404144,
-0.025996053591370583,
-0.001467519672587514,
0.018668536096811295,
0.05611133947968483,
-0.05533072352409363,
-0.014191715978085995,
-0.0466894805431366,
0.013551314361393452,
0.0006572066340595484,
-0.05341406911611557,
-0.038502082228660583,
0.04199665039777756,
0.07704988121986389,
-0.06621798127889633,
0.032633472234010696,
-0.019562508910894394,
-0.014158139005303383,
0.06515620648860931,
0.02423618920147419,
0.02774781361222267,
-0.05772465467453003,
-0.08227822929620743,
-0.11529326438903809,
-0.011202490888535976,
0.07492314279079437,
-0.014098727144300938,
0.15290376543998718,
-0.020868128165602684,
-0.09535329043865204,
0.04635854810476303,
-0.05148579925298691,
0.06098930910229683,
-0.018372822552919388,
-0.00727129727602005,
0.026406843215227127,
-0.05195559188723564,
0.09591613709926605,
-0.013913316652178764,
-0.003420432796701789,
0.06108243390917778,
0.021955179050564766,
0.03194016218185425,
-0.009937845170497894,
0.08715943247079849,
-0.08387456089258194,
0.022065596655011177,
-0.10019969940185547,
-0.047618329524993896,
0.06436184793710709,
0.005933017004281282,
0.023454811424016953,
0.029304079711437225,
0.039292436093091965,
0.03327837586402893,
0.012140903621912003,
0.01651814766228199,
0.024538379162549973,
-0.0022068610414862633,
-0.01194574311375618,
-0.0016760455910116434,
0.03164195269346237,
0.027875611558556557,
-0.06389371305704117,
-4.221720217856273e-8,
-0.03627695143222809,
0.012459009885787964,
0.03440309688448906,
0.06634470820426941,
0.05388457700610161,
0.01680268719792366,
-0.02083182893693447,
0.011606459505856037,
-0.012811440043151379,
-0.05762224271893501,
0.095606230199337,
0.03092273138463497,
0.04985266923904419,
0.019239893183112144,
0.009936756454408169,
0.044280756264925,
0.03832540288567543,
0.03502478450536728,
0.0041020577773451805,
-0.03394337743520737,
0.015228204429149628,
-0.019645975902676582,
0.017113102599978447,
0.011703521013259888,
-0.0067314524203538895,
-0.047448549419641495,
-0.018872680142521858,
0.10445898026227951,
-0.016348132863640785,
0.04848866909742355,
0.0814441666007042,
-0.034222595393657684,
0.06636479496955872,
0.05062197148799896,
0.020822802558541298,
0.06744784861803055,
0.0029445539694279432,
-0.022502483800053596,
-0.030253536999225616,
-0.05119488760828972,
-0.06332756578922272,
0.05559718236327171,
0.01394602656364441,
-0.009921334683895111,
-0.06889769434928894,
-0.012296544387936592,
0.003321059513837099,
-0.04385816678404808,
0.01811356283724308,
-0.039050742983818054,
0.01589207351207733,
0.017785843461751938,
-0.021105369552969933,
-0.031799186021089554,
0.04287717118859291,
-0.04634347930550575,
0.057633865624666214,
-0.09967511892318726,
-0.09386025369167328,
0.059299543499946594,
0.00577474245801568,
0.10859642177820206,
0.000506049080286175,
-0.024685312062501907
] | null | null | null | null | null | null | null | [
-0.061499178409576416,
-0.03445637226104736,
0.004874913487583399,
-0.001077247434295714,
0.02859394997358322,
0.049063872545957565,
0.024328546598553658,
-0.07016950845718384,
0.04132464528083801,
0.07021743059158325,
-0.04717928543686867,
0.00604917062446475,
-0.024040237069129944,
0.05029728636145592,
-0.022151578217744827,
-0.0704713836312294,
0.0031462775077670813,
0.08066891878843307,
-0.0566575825214386,
-0.013517714105546474,
0.012692873366177082,
-0.033723700791597366,
0.004295819904655218,
-0.0007361386087723076,
0.008111035451292992,
0.06373899430036545,
-0.017918996512889862,
0.00011888386507052928,
0.029617860913276672,
-0.05383698269724846,
0.09667859971523285,
-0.10847526788711548,
0.01158300694078207,
-0.009571148082613945,
-0.04896009340882301,
0.03447205573320389,
-0.08467692136764526,
-0.09649579972028732,
0.027681540697813034,
0.02352915331721306,
-0.005659100133925676,
0.012745214626193047,
0.012258521281182766,
0.0781005322933197,
0.0484762117266655,
0.021950196474790573,
0.04033775255084038,
-0.05882779508829117,
-0.05404547601938248,
-0.06992335617542267,
-0.012027849443256855,
-0.02182062529027462,
0.005926971789449453,
0.0213484950363636,
0.06021645665168762,
0.10657292604446411,
0.019297869876027107,
0.07876376062631607,
-0.04461260885000229,
-0.02950276806950569,
-0.009269115515053272,
-0.0946243479847908,
-0.03636222332715988,
-0.034460701048374176,
0.031685374677181244,
0.01591518707573414,
-0.06731251627206802,
-0.00006639987987000495,
-0.03208645433187485,
-0.047534748911857605,
0.08130951225757599,
0.05235300585627556,
0.002211606362834573,
-0.07023791968822479,
0.12182988971471786,
0.059377361088991165,
-0.07747109979391098,
-0.0045388974249362946,
-0.010135611519217491,
-0.07603184878826141,
0.0006764737772755325,
0.00043607663246802986,
0.040141720324754715,
0.046919871121644974,
0.13502684235572815,
-0.019932186231017113,
0.006779827643185854,
0.028392981737852097,
0.05907377600669861,
0.02651924453675747,
-0.0055861868895590305,
-0.016935870051383972,
-0.0782485157251358,
-0.05683210492134094,
-0.07804273813962936,
0.03464460000395775,
-0.0069022104144096375,
-0.0842461958527565,
-0.05156904086470604,
0.06702176481485367,
-0.07432131469249725,
0.05391829460859299,
0.005521370097994804,
0.039130985736846924,
0.09217450022697449,
-0.048191070556640625,
0.0689195916056633,
0.020631810650229454,
0.12542402744293213,
-0.02456335909664631,
-0.053413741290569305,
0.06627744436264038,
0.02826903574168682,
0.0685441792011261,
0.02966342493891716,
0.038981761783361435,
-0.04460921138525009,
0.05590733885765076,
0.08326761424541473,
-0.00881291925907135,
0.02060939371585846,
-0.023917749524116516,
-0.05227619409561157,
-0.07106713205575943,
-0.045699845999479294,
-0.02502228505909443,
-0.05933848023414612,
2.269823755456173e-33,
0.031712885946035385,
0.04205041751265526,
0.0766584724187851,
-0.04176711663603783,
0.034560997039079666,
-0.0790824145078659,
-0.014897046610713005,
-0.013783044181764126,
0.058740291744470596,
-0.015132791362702847,
-0.0648358091711998,
0.03894437849521637,
-0.04716901108622551,
0.11255341023206711,
0.09018433839082718,
-0.018323538824915886,
-0.0889560878276825,
-0.016456294804811478,
0.05286112800240517,
-0.07988110929727554,
0.04094049707055092,
-0.02023204229772091,
0.019501354545354843,
-0.051762230694293976,
-0.02295149862766266,
-0.06047617271542549,
0.007302431855350733,
0.02167038433253765,
0.019091857597231865,
0.018113765865564346,
-0.031849633902311325,
0.054913170635700226,
0.03658897802233696,
-0.009754291735589504,
-0.029690010473132133,
0.0033901804126799107,
-0.029696736484766006,
-0.018784919753670692,
0.07684775441884995,
-0.022949013859033585,
0.029883556067943573,
-0.048471733927726746,
0.01749337837100029,
0.0034744886215776205,
-0.042865946888923645,
0.015771538019180298,
-0.004711840767413378,
-0.05683750659227371,
-0.06458626687526703,
-0.02349449135363102,
-0.006321331020444632,
0.03945215046405792,
0.08430898934602737,
-0.10047616809606552,
0.0223672054708004,
0.013631475158035755,
-0.04485400393605232,
0.0014005437260493636,
-0.05377259477972984,
0.04074174910783768,
0.0015379167161881924,
-0.00570561271160841,
0.0365237258374691,
0.0830860361456871,
-0.025327257812023163,
0.0690399706363678,
-0.014927147887647152,
0.02683860808610916,
0.06752461940050125,
0.022318443283438683,
-0.04064980521798134,
0.06797122210264206,
-0.14044520258903503,
-0.09949322789907455,
-0.025634728372097015,
0.007854976691305637,
0.10718715190887451,
-0.05452064424753189,
-0.05678217113018036,
-0.05958569049835205,
-0.038124896585941315,
-0.029060179367661476,
0.0022465393412858248,
0.022762401029467583,
0.006418630946427584,
0.048236217349767685,
0.04341695085167885,
-0.015670206397771835,
0.01615738868713379,
0.024860437959432602,
-0.0710073933005333,
-0.029291607439517975,
0.045711807906627655,
-0.005834891460835934,
-0.019173728302121162,
-3.305548521887829e-33,
-0.08133595436811447,
-0.030026361346244812,
-0.07852262258529663,
-0.026891931891441345,
-0.051359307020902634,
0.02958396077156067,
-0.06817886978387833,
-0.11384695023298264,
-0.06217336282134056,
0.04618734493851662,
-0.030422957614064217,
-0.015411588363349438,
0.00900276843458414,
0.0005528760957531631,
0.014880510047078133,
-0.047374505549669266,
-0.06522396951913834,
0.061346642673015594,
0.07315444946289062,
-0.0726349726319313,
0.10372046381235123,
0.11253064125776291,
-0.055962271988391876,
-0.027744777500629425,
0.028541240841150284,
0.031183939427137375,
-0.08636000007390976,
0.07433583587408066,
0.014128184877336025,
0.06501451879739761,
-0.10291746258735657,
-0.053494058549404144,
-0.025996053591370583,
-0.001467519672587514,
0.018668536096811295,
0.05611133947968483,
-0.05533072352409363,
-0.014191715978085995,
-0.0466894805431366,
0.013551314361393452,
0.0006572066340595484,
-0.05341406911611557,
-0.038502082228660583,
0.04199665039777756,
0.07704988121986389,
-0.06621798127889633,
0.032633472234010696,
-0.019562508910894394,
-0.014158139005303383,
0.06515620648860931,
0.02423618920147419,
0.02774781361222267,
-0.05772465467453003,
-0.08227822929620743,
-0.11529326438903809,
-0.011202490888535976,
0.07492314279079437,
-0.014098727144300938,
0.15290376543998718,
-0.020868128165602684,
-0.09535329043865204,
0.04635854810476303,
-0.05148579925298691,
0.06098930910229683,
-0.018372822552919388,
-0.00727129727602005,
0.026406843215227127,
-0.05195559188723564,
0.09591613709926605,
-0.013913316652178764,
-0.003420432796701789,
0.06108243390917778,
0.021955179050564766,
0.03194016218185425,
-0.009937845170497894,
0.08715943247079849,
-0.08387456089258194,
0.022065596655011177,
-0.10019969940185547,
-0.047618329524993896,
0.06436184793710709,
0.005933017004281282,
0.023454811424016953,
0.029304079711437225,
0.039292436093091965,
0.03327837586402893,
0.012140903621912003,
0.01651814766228199,
0.024538379162549973,
-0.0022068610414862633,
-0.01194574311375618,
-0.0016760455910116434,
0.03164195269346237,
0.027875611558556557,
-0.06389371305704117,
-4.221720217856273e-8,
-0.03627695143222809,
0.012459009885787964,
0.03440309688448906,
0.06634470820426941,
0.05388457700610161,
0.01680268719792366,
-0.02083182893693447,
0.011606459505856037,
-0.012811440043151379,
-0.05762224271893501,
0.095606230199337,
0.03092273138463497,
0.04985266923904419,
0.019239893183112144,
0.009936756454408169,
0.044280756264925,
0.03832540288567543,
0.03502478450536728,
0.0041020577773451805,
-0.03394337743520737,
0.015228204429149628,
-0.019645975902676582,
0.017113102599978447,
0.011703521013259888,
-0.0067314524203538895,
-0.047448549419641495,
-0.018872680142521858,
0.10445898026227951,
-0.016348132863640785,
0.04848866909742355,
0.0814441666007042,
-0.034222595393657684,
0.06636479496955872,
0.05062197148799896,
0.020822802558541298,
0.06744784861803055,
0.0029445539694279432,
-0.022502483800053596,
-0.030253536999225616,
-0.05119488760828972,
-0.06332756578922272,
0.05559718236327171,
0.01394602656364441,
-0.009921334683895111,
-0.06889769434928894,
-0.012296544387936592,
0.003321059513837099,
-0.04385816678404808,
0.01811356283724308,
-0.039050742983818054,
0.01589207351207733,
0.017785843461751938,
-0.021105369552969933,
-0.031799186021089554,
0.04287717118859291,
-0.04634347930550575,
0.057633865624666214,
-0.09967511892318726,
-0.09386025369167328,
0.059299543499946594,
0.00577474245801568,
0.10859642177820206,
0.000506049080286175,
-0.024685312062501907
] |
1401.1467 | Mikhail Andreev | Mikhail Andreev, Akim Kumok | The sum $2^{\mathit{KA}(x)-\mathit{KP}(x)}$ over all prefixes $x$ of
some binary sequence can be infinite | null | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider two quantities that measure complexity of binary strings:
$\mathit{KA}(x)$ is defined as the minus logarithm of continuous a priori
probability on the binary tree, and $\mathit{KP}(x)$ denotes prefix complexity
of a binary string $x$. In this paper we answer a question posed by Joseph
Miller and prove that there exists an infinite binary sequence $\omega$ such
that the sum of $2^{\mathit{KA}(x)-\mathit{KP}(x)}$ over all prefixes $x$ of
$\omega$ is infinite. Such a sequence can be chosen among characteristic
sequences of computably enumerable sets.
| [
{
"created": "Tue, 7 Jan 2014 18:30:52 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Andreev",
"Mikhail",
""
],
[
"Kumok",
"Akim",
""
]
] | [
-0.024233361706137657,
-0.015561586245894432,
-0.023972410708665848,
-0.006341802421957254,
-0.048173531889915466,
-0.011914337053894997,
0.06802907586097717,
0.003636762732639909,
0.02191896364092827,
-0.005776646547019482,
-0.037237316370010376,
-0.0012153101852163672,
0.04180412366986275,
-0.027869081124663353,
-0.05030902847647667,
0.020674461498856544,
-0.03851018846035004,
-0.026047054678201675,
0.010328106582164764,
0.029608331620693207,
0.020709125325083733,
0.013513780198991299,
-0.00022291841742116958,
0.026509704068303108,
-0.006473666988313198,
-0.008943255059421062,
-0.05121167004108429,
-0.006264401599764824,
0.028457051143050194,
0.024917298927903175,
-0.07456047087907791,
-0.008878200314939022,
0.06947849690914154,
-0.01945057138800621,
0.09966917335987091,
0.007225718814879656,
0.008496101945638657,
-0.05185301974415779,
-0.0152588514611125,
0.042428892105817795,
0.05115381255745888,
0.029711982235312462,
-0.058290135115385056,
0.07262343913316727,
-0.024648839607834816,
0.008140613324940205,
-0.01648438535630703,
-0.011554970405995846,
-0.06121521443128586,
-0.06525851786136627,
-0.019902428612113,
0.057102955877780914,
-0.021273424848914146,
-0.02723371982574463,
0.0018485028995200992,
-0.07488120347261429,
-0.04256341978907585,
0.014284882694482803,
0.009067017585039139,
0.042633507400751114,
0.028830362483859062,
-0.008890842087566853,
-0.01877250336110592,
0.001429409021511674,
0.0672900378704071,
0.017135897651314735,
0.05567798390984535,
-0.01290434505790472,
0.029617784544825554,
0.05959756672382355,
-0.007027127780020237,
-0.007944578304886818,
-0.07855334877967834,
0.14477019011974335,
0.002965267514809966,
-0.041680555790662766,
0.005542222876101732,
0.016779104247689247,
-0.07646682858467102,
0.03311661630868912,
-0.04552207142114639,
-0.03482639044523239,
0.010106926783919334,
-0.02392582595348358,
-0.013454653322696686,
0.005818891804665327,
-0.013698913156986237,
0.009121250361204147,
-0.020286178216338158,
0.01639096438884735,
-0.11687520146369934,
-0.11022046208381653,
0.07943183928728104,
0.03272227942943573,
-0.009978084824979305,
-0.026684146374464035,
-0.035762201994657516,
0.029945842921733856,
0.019923966377973557,
0.021065130829811096,
-0.050306741148233414,
0.015284580178558826,
0.0267570111900568,
-0.04984177276492119,
-0.04789719730615616,
0.009256670251488686,
-0.08323775976896286,
-0.04426441341638565,
-0.014012488536536694,
-0.014521508477628231,
0.055424150079488754,
-0.0842086672782898,
-0.011442526243627071,
0.05895135924220085,
0.008447441272437572,
-0.04395579546689987,
-0.00024381819821428508,
0.017391536384820938,
0.0030821056570857763,
-0.016764100641012192,
0.08349243551492691,
-0.043922435492277145,
-0.036000825464725494,
-0.018836447969079018,
0.012448764406144619,
-0.03163870796561241,
0.11530639976263046,
-7.168901531170977e-34,
0.05948450043797493,
0.01090533658862114,
0.04880122095346451,
-0.06492538005113602,
0.05855785682797432,
0.057756416499614716,
-0.008115820586681366,
0.05052211135625839,
-0.013258646242320538,
0.0739864856004715,
-0.004086280707269907,
0.10936687141656876,
0.03182252123951912,
-0.01231022272258997,
0.09280663728713989,
0.0021356851793825626,
0.03636947274208069,
0.01245836541056633,
0.026961280032992363,
-0.05606652796268463,
0.09624096751213074,
0.04192020744085312,
-0.035856008529663086,
-0.06507155299186707,
0.01848422922194004,
-0.01922125555574894,
-0.0023633765522390604,
-0.06594762951135635,
0.010244539938867092,
0.026501091197133064,
-0.0761345848441124,
-0.012163088656961918,
-0.003682081587612629,
0.10103736072778702,
-0.050382230430841446,
-0.049122922122478485,
-0.031686991453170776,
-0.06761947274208069,
-0.009070412255823612,
-0.03599367290735245,
0.02105901390314102,
0.035005323588848114,
0.0273246131837368,
-0.02758517675101757,
-0.016677463427186012,
-0.051423367112874985,
0.022109854966402054,
-0.043402861803770065,
-0.01001693680882454,
-0.0773472785949707,
0.053494472056627274,
-0.0370551235973835,
-0.072525754570961,
0.06992954015731812,
0.01799573004245758,
0.04299023374915123,
0.048988014459609985,
0.10549620538949966,
0.015482168644666672,
0.16934333741664886,
-0.013534442521631718,
-0.015125120058655739,
0.05799783766269684,
0.04239146411418915,
0.012746619991958141,
0.013240826316177845,
-0.05672953650355339,
-0.058100488036870956,
0.08268057554960251,
-0.030167516320943832,
-0.03283781185746193,
-0.01718718372285366,
-0.027726896107196808,
-0.05557987093925476,
0.011712403036653996,
-0.0025821758899837732,
0.012603648006916046,
-0.09079916775226593,
-0.12657368183135986,
0.10964061319828033,
-0.03543835133314133,
-0.049566756933927536,
0.0685398206114769,
0.0014350642450153828,
-0.004467863589525223,
-0.03318418562412262,
-0.004522643052041531,
0.0044471509754657745,
-0.0304655060172081,
-0.043186623603105545,
-0.02808513678610325,
0.003980677109211683,
-0.026051659137010574,
-0.030735371634364128,
0.030001606792211533,
-2.8059261375769166e-33,
-0.008348966017365456,
-0.06655271351337433,
0.07283280789852142,
0.1043153926730156,
0.03516855090856552,
-0.03484757989645004,
-0.022318338975310326,
0.010679793544113636,
-0.021047649905085564,
-0.045430008322000504,
0.025595439597964287,
0.05532154440879822,
0.08446066826581955,
0.043446313589811325,
0.02097352221608162,
-0.007671868894249201,
-0.01777847483754158,
0.11975260823965073,
-0.027158917859196663,
-0.022587066516280174,
0.08569393306970596,
0.014729345217347145,
0.03444522246718407,
-0.01180370431393385,
0.023104380816221237,
0.014471842907369137,
-0.04600942134857178,
0.022675855085253716,
0.022448325529694557,
0.06057079881429672,
0.0011224618647247553,
-0.045696623623371124,
-0.07054144144058228,
-0.07358580827713013,
-0.06737088412046432,
-0.093567855656147,
0.10744680464267731,
0.10286762565374374,
-0.02139715477824211,
0.09112624824047089,
0.0147455595433712,
-0.0038179634138941765,
0.044326771050691605,
-0.04065097123384476,
0.04932648688554764,
-0.0753701701760292,
0.018518663942813873,
-0.01107796374708414,
0.02679663710296154,
-0.032146889716386795,
0.11357221752405167,
0.04938244819641113,
-0.01232157088816166,
0.07712249457836151,
-0.007616756483912468,
0.054777923971414566,
-0.10452111810445786,
0.07818019390106201,
0.04457421228289604,
-0.019685180857777596,
-0.04647853597998619,
0.00672127353027463,
0.025511784479022026,
0.04500870034098625,
0.08599922060966492,
-0.06930306553840637,
-0.11920303851366043,
-0.08681917190551758,
0.0199428703635931,
-0.04816463589668274,
-0.0044706277549266815,
-0.02078157849609852,
-0.07324647158384323,
0.0417623333632946,
-0.07101038843393326,
-0.014140741899609566,
0.002361634047701955,
-0.008184379898011684,
0.0010953978635370731,
0.026745669543743134,
-0.03037736564874649,
0.07317069172859192,
-0.02901528961956501,
-0.006538345944136381,
0.04145796597003937,
-0.03388196602463722,
0.07992648333311081,
-0.02359938435256481,
-0.017124004662036896,
-0.06092231720685959,
0.02749188244342804,
0.03589528053998947,
0.017844028770923615,
-0.02514428272843361,
-0.05698699876666069,
-3.800535353093437e-8,
0.051081787794828415,
-0.05990152433514595,
-0.06874635815620422,
0.02690979838371277,
0.15750403702259064,
-0.03555146977305412,
-0.04067225009202957,
0.06076285243034363,
-0.01726747862994671,
-0.0635693296790123,
0.07815645635128021,
0.10162092000246048,
-0.0647861436009407,
0.057817243039608,
0.0070202965289354324,
0.037816278636455536,
-0.048600126057863235,
-0.009008299559354782,
0.007823670282959938,
0.08425416052341461,
0.06088051199913025,
-0.0436406247317791,
-0.052280623465776443,
0.029961636289954185,
-0.14743639528751373,
-0.008814609609544277,
-0.018330158665776253,
-0.01575775071978569,
-0.039984945207834244,
0.08264954388141632,
0.05662235617637634,
0.03914913535118103,
0.051042016595602036,
-0.019241372123360634,
-0.07495598495006561,
-0.0051304614171385765,
-0.08470851182937622,
0.020536059513688087,
-0.0625828355550766,
-0.0891173854470253,
0.010652151890099049,
-0.029712114483118057,
-0.03398013859987259,
0.048379283398389816,
-0.027654414996504784,
-0.159734308719635,
0.0015843336004763842,
0.051442958414554596,
-0.0507412813603878,
-0.032218143343925476,
-0.033504847437143326,
0.04589308798313141,
-0.02172284759581089,
-0.11369786411523819,
0.022547738626599312,
0.066449835896492,
-0.041402291506528854,
-0.11250367015600204,
-0.017000189051032066,
0.030865170061588287,
0.011023594997823238,
-0.057694725692272186,
0.08259738236665726,
0.0010541797382757068
] | null | null | null | null | null | null | null | [
-0.024233361706137657,
-0.015561586245894432,
-0.023972410708665848,
-0.006341802421957254,
-0.048173531889915466,
-0.011914337053894997,
0.06802907586097717,
0.003636762732639909,
0.02191896364092827,
-0.005776646547019482,
-0.037237316370010376,
-0.0012153101852163672,
0.04180412366986275,
-0.027869081124663353,
-0.05030902847647667,
0.020674461498856544,
-0.03851018846035004,
-0.026047054678201675,
0.010328106582164764,
0.029608331620693207,
0.020709125325083733,
0.013513780198991299,
-0.00022291841742116958,
0.026509704068303108,
-0.006473666988313198,
-0.008943255059421062,
-0.05121167004108429,
-0.006264401599764824,
0.028457051143050194,
0.024917298927903175,
-0.07456047087907791,
-0.008878200314939022,
0.06947849690914154,
-0.01945057138800621,
0.09966917335987091,
0.007225718814879656,
0.008496101945638657,
-0.05185301974415779,
-0.0152588514611125,
0.042428892105817795,
0.05115381255745888,
0.029711982235312462,
-0.058290135115385056,
0.07262343913316727,
-0.024648839607834816,
0.008140613324940205,
-0.01648438535630703,
-0.011554970405995846,
-0.06121521443128586,
-0.06525851786136627,
-0.019902428612113,
0.057102955877780914,
-0.021273424848914146,
-0.02723371982574463,
0.0018485028995200992,
-0.07488120347261429,
-0.04256341978907585,
0.014284882694482803,
0.009067017585039139,
0.042633507400751114,
0.028830362483859062,
-0.008890842087566853,
-0.01877250336110592,
0.001429409021511674,
0.0672900378704071,
0.017135897651314735,
0.05567798390984535,
-0.01290434505790472,
0.029617784544825554,
0.05959756672382355,
-0.007027127780020237,
-0.007944578304886818,
-0.07855334877967834,
0.14477019011974335,
0.002965267514809966,
-0.041680555790662766,
0.005542222876101732,
0.016779104247689247,
-0.07646682858467102,
0.03311661630868912,
-0.04552207142114639,
-0.03482639044523239,
0.010106926783919334,
-0.02392582595348358,
-0.013454653322696686,
0.005818891804665327,
-0.013698913156986237,
0.009121250361204147,
-0.020286178216338158,
0.01639096438884735,
-0.11687520146369934,
-0.11022046208381653,
0.07943183928728104,
0.03272227942943573,
-0.009978084824979305,
-0.026684146374464035,
-0.035762201994657516,
0.029945842921733856,
0.019923966377973557,
0.021065130829811096,
-0.050306741148233414,
0.015284580178558826,
0.0267570111900568,
-0.04984177276492119,
-0.04789719730615616,
0.009256670251488686,
-0.08323775976896286,
-0.04426441341638565,
-0.014012488536536694,
-0.014521508477628231,
0.055424150079488754,
-0.0842086672782898,
-0.011442526243627071,
0.05895135924220085,
0.008447441272437572,
-0.04395579546689987,
-0.00024381819821428508,
0.017391536384820938,
0.0030821056570857763,
-0.016764100641012192,
0.08349243551492691,
-0.043922435492277145,
-0.036000825464725494,
-0.018836447969079018,
0.012448764406144619,
-0.03163870796561241,
0.11530639976263046,
-7.168901531170977e-34,
0.05948450043797493,
0.01090533658862114,
0.04880122095346451,
-0.06492538005113602,
0.05855785682797432,
0.057756416499614716,
-0.008115820586681366,
0.05052211135625839,
-0.013258646242320538,
0.0739864856004715,
-0.004086280707269907,
0.10936687141656876,
0.03182252123951912,
-0.01231022272258997,
0.09280663728713989,
0.0021356851793825626,
0.03636947274208069,
0.01245836541056633,
0.026961280032992363,
-0.05606652796268463,
0.09624096751213074,
0.04192020744085312,
-0.035856008529663086,
-0.06507155299186707,
0.01848422922194004,
-0.01922125555574894,
-0.0023633765522390604,
-0.06594762951135635,
0.010244539938867092,
0.026501091197133064,
-0.0761345848441124,
-0.012163088656961918,
-0.003682081587612629,
0.10103736072778702,
-0.050382230430841446,
-0.049122922122478485,
-0.031686991453170776,
-0.06761947274208069,
-0.009070412255823612,
-0.03599367290735245,
0.02105901390314102,
0.035005323588848114,
0.0273246131837368,
-0.02758517675101757,
-0.016677463427186012,
-0.051423367112874985,
0.022109854966402054,
-0.043402861803770065,
-0.01001693680882454,
-0.0773472785949707,
0.053494472056627274,
-0.0370551235973835,
-0.072525754570961,
0.06992954015731812,
0.01799573004245758,
0.04299023374915123,
0.048988014459609985,
0.10549620538949966,
0.015482168644666672,
0.16934333741664886,
-0.013534442521631718,
-0.015125120058655739,
0.05799783766269684,
0.04239146411418915,
0.012746619991958141,
0.013240826316177845,
-0.05672953650355339,
-0.058100488036870956,
0.08268057554960251,
-0.030167516320943832,
-0.03283781185746193,
-0.01718718372285366,
-0.027726896107196808,
-0.05557987093925476,
0.011712403036653996,
-0.0025821758899837732,
0.012603648006916046,
-0.09079916775226593,
-0.12657368183135986,
0.10964061319828033,
-0.03543835133314133,
-0.049566756933927536,
0.0685398206114769,
0.0014350642450153828,
-0.004467863589525223,
-0.03318418562412262,
-0.004522643052041531,
0.0044471509754657745,
-0.0304655060172081,
-0.043186623603105545,
-0.02808513678610325,
0.003980677109211683,
-0.026051659137010574,
-0.030735371634364128,
0.030001606792211533,
-2.8059261375769166e-33,
-0.008348966017365456,
-0.06655271351337433,
0.07283280789852142,
0.1043153926730156,
0.03516855090856552,
-0.03484757989645004,
-0.022318338975310326,
0.010679793544113636,
-0.021047649905085564,
-0.045430008322000504,
0.025595439597964287,
0.05532154440879822,
0.08446066826581955,
0.043446313589811325,
0.02097352221608162,
-0.007671868894249201,
-0.01777847483754158,
0.11975260823965073,
-0.027158917859196663,
-0.022587066516280174,
0.08569393306970596,
0.014729345217347145,
0.03444522246718407,
-0.01180370431393385,
0.023104380816221237,
0.014471842907369137,
-0.04600942134857178,
0.022675855085253716,
0.022448325529694557,
0.06057079881429672,
0.0011224618647247553,
-0.045696623623371124,
-0.07054144144058228,
-0.07358580827713013,
-0.06737088412046432,
-0.093567855656147,
0.10744680464267731,
0.10286762565374374,
-0.02139715477824211,
0.09112624824047089,
0.0147455595433712,
-0.0038179634138941765,
0.044326771050691605,
-0.04065097123384476,
0.04932648688554764,
-0.0753701701760292,
0.018518663942813873,
-0.01107796374708414,
0.02679663710296154,
-0.032146889716386795,
0.11357221752405167,
0.04938244819641113,
-0.01232157088816166,
0.07712249457836151,
-0.007616756483912468,
0.054777923971414566,
-0.10452111810445786,
0.07818019390106201,
0.04457421228289604,
-0.019685180857777596,
-0.04647853597998619,
0.00672127353027463,
0.025511784479022026,
0.04500870034098625,
0.08599922060966492,
-0.06930306553840637,
-0.11920303851366043,
-0.08681917190551758,
0.0199428703635931,
-0.04816463589668274,
-0.0044706277549266815,
-0.02078157849609852,
-0.07324647158384323,
0.0417623333632946,
-0.07101038843393326,
-0.014140741899609566,
0.002361634047701955,
-0.008184379898011684,
0.0010953978635370731,
0.026745669543743134,
-0.03037736564874649,
0.07317069172859192,
-0.02901528961956501,
-0.006538345944136381,
0.04145796597003937,
-0.03388196602463722,
0.07992648333311081,
-0.02359938435256481,
-0.017124004662036896,
-0.06092231720685959,
0.02749188244342804,
0.03589528053998947,
0.017844028770923615,
-0.02514428272843361,
-0.05698699876666069,
-3.800535353093437e-8,
0.051081787794828415,
-0.05990152433514595,
-0.06874635815620422,
0.02690979838371277,
0.15750403702259064,
-0.03555146977305412,
-0.04067225009202957,
0.06076285243034363,
-0.01726747862994671,
-0.0635693296790123,
0.07815645635128021,
0.10162092000246048,
-0.0647861436009407,
0.057817243039608,
0.0070202965289354324,
0.037816278636455536,
-0.048600126057863235,
-0.009008299559354782,
0.007823670282959938,
0.08425416052341461,
0.06088051199913025,
-0.0436406247317791,
-0.052280623465776443,
0.029961636289954185,
-0.14743639528751373,
-0.008814609609544277,
-0.018330158665776253,
-0.01575775071978569,
-0.039984945207834244,
0.08264954388141632,
0.05662235617637634,
0.03914913535118103,
0.051042016595602036,
-0.019241372123360634,
-0.07495598495006561,
-0.0051304614171385765,
-0.08470851182937622,
0.020536059513688087,
-0.0625828355550766,
-0.0891173854470253,
0.010652151890099049,
-0.029712114483118057,
-0.03398013859987259,
0.048379283398389816,
-0.027654414996504784,
-0.159734308719635,
0.0015843336004763842,
0.051442958414554596,
-0.0507412813603878,
-0.032218143343925476,
-0.033504847437143326,
0.04589308798313141,
-0.02172284759581089,
-0.11369786411523819,
0.022547738626599312,
0.066449835896492,
-0.041402291506528854,
-0.11250367015600204,
-0.017000189051032066,
0.030865170061588287,
0.011023594997823238,
-0.057694725692272186,
0.08259738236665726,
0.0010541797382757068
] |
1401.1472 | Nirman Kumar | Sariel Har-Peled and Nirman Kumar | Robust Proximity Search for Balls using Sublinear Space | null | null | null | null | cs.CG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given a set of n disjoint balls b1, . . ., bn in IRd, we provide a data
structure, of near linear size, that can answer (1 \pm \epsilon)-approximate
kth-nearest neighbor queries in O(log n + 1/\epsilon^d) time, where k and
\epsilon are provided at query time. If k and \epsilon are provided in advance,
we provide a data structure to answer such queries, that requires (roughly)
O(n/k) space; that is, the data structure has sublinear space requirement if k
is sufficiently large.
| [
{
"created": "Tue, 7 Jan 2014 18:40:49 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Oct 2014 05:51:17 GMT",
"version": "v2"
}
] | 2014-10-30 | [
[
"Har-Peled",
"Sariel",
""
],
[
"Kumar",
"Nirman",
""
]
] | [
-0.02634931355714798,
-0.022817665711045265,
0.05380401015281677,
-0.03197164833545685,
0.011399577371776104,
-0.04043630138039589,
0.04123203456401825,
-0.014764152467250824,
0.06034426763653755,
0.03315506502985954,
-0.009941764175891876,
0.04915899783372879,
0.03900182992219925,
0.02452380768954754,
0.01902170106768608,
0.012348553165793419,
0.11614875495433807,
0.015727726742625237,
-0.07749250531196594,
0.028115108609199524,
-0.0751461461186409,
0.028494765982031822,
0.03819144889712334,
-0.034324463456869125,
0.020319215953350067,
-0.011255009099841118,
0.12758737802505493,
0.009767843410372734,
-0.026530086994171143,
-0.01628865860402584,
-0.019536662846803665,
-0.010509553365409374,
0.06196558102965355,
0.06157824769616127,
-0.006648358888924122,
0.02003355138003826,
0.028672723099589348,
-0.002447120612487197,
-0.06054166331887245,
0.07112710922956467,
-0.0312901996076107,
0.05298731476068497,
0.06982795894145966,
0.07920761406421661,
-0.0240043755620718,
0.05811963602900505,
-0.04513239860534668,
-0.003006049431860447,
-0.03866194933652878,
-0.054000306874513626,
-0.13055002689361572,
0.03878513351082802,
-0.03311639651656151,
0.10841577500104904,
0.020700624212622643,
-0.046009086072444916,
-0.05972704663872719,
-0.05057261884212494,
-0.00008618960418971255,
0.020381122827529907,
0.06656568497419357,
-0.06894707679748535,
0.03481103852391243,
-0.058569081127643585,
0.02512979693710804,
-0.013250051997601986,
0.039429113268852234,
0.06113597750663757,
0.03119356371462345,
0.02014737017452717,
0.0405467227101326,
0.07481519132852554,
-0.18145762383937836,
0.10689239948987961,
-0.04888454079627991,
0.0010700223501771688,
0.05745350196957588,
0.0019288953626528382,
0.0036617477890104055,
-0.06058913841843605,
-0.01944725587964058,
0.06737717241048813,
0.005031279753893614,
-0.027111560106277466,
0.03786543756723404,
-0.1000082716345787,
0.049209244549274445,
0.0012454515090212226,
0.03955648094415665,
-0.06386273354291916,
-0.057680703699588776,
-0.008278372697532177,
-0.0172971710562706,
-0.04284829646348953,
-0.03409644588828087,
-0.015603378415107727,
0.031753480434417725,
0.00588023429736495,
0.08362900465726852,
0.0493912510573864,
-0.009714890271425247,
0.0890507698059082,
-0.0228834617882967,
0.03674279898405075,
-0.037384871393442154,
0.03144291415810585,
-0.00865999236702919,
0.01603604480624199,
0.013942696154117584,
-0.06327515095472336,
0.07069158554077148,
-0.0697721466422081,
-0.07343994081020355,
0.04846528545022011,
-0.027380943298339844,
-0.11547724902629852,
0.033672161400318146,
0.00025451829424127936,
0.013820847496390343,
-0.0787593349814415,
0.014509170316159725,
0.04466971755027771,
0.014525980688631535,
0.003448571776971221,
0.0633641928434372,
0.06353652477264404,
-0.027135757729411125,
4.101828027792862e-33,
0.05363824591040611,
0.005596053320914507,
0.03269372880458832,
-0.046893421560525894,
-0.028125066310167313,
0.01701178029179573,
-0.01895853318274021,
0.008743591606616974,
0.004704105202108622,
0.020026272162795067,
-0.07825537770986557,
-0.007530198432505131,
0.06902723014354706,
-0.06509887427091599,
0.05724291503429413,
-0.008233278058469296,
0.05795123055577278,
0.041131384670734406,
-0.04816226661205292,
0.0037632547318935394,
0.013509982265532017,
-0.05293647199869156,
0.07100912183523178,
0.0006710599409416318,
-0.03765111416578293,
-0.048811815679073334,
0.010641070082783699,
-0.11388304829597473,
0.003310675732791424,
-0.010037395171821117,
-0.051625337451696396,
-0.009241994470357895,
-0.02242855727672577,
0.024475837126374245,
0.03560977429151535,
0.012570446357131004,
-0.028478236868977547,
-0.0458989255130291,
-0.014464514330029488,
-0.07405152916908264,
-0.03037846088409424,
-0.0036153884138911963,
-0.010184510610997677,
-0.0365014486014843,
-0.09558804333209991,
-0.06269846111536026,
-0.01951434463262558,
-0.0005654267151840031,
0.0019006202928721905,
-0.03112248331308365,
0.04810555279254913,
-0.011175009422004223,
-0.04188482463359833,
-0.004012810532003641,
0.05213139206171036,
-0.036342013627290726,
-0.041059739887714386,
-0.012259635142982006,
0.047055091708898544,
0.09765343368053436,
0.02169129252433777,
-0.10333991050720215,
0.03640248253941536,
0.007840655744075775,
0.03778601810336113,
-0.020031914114952087,
0.03009314276278019,
-0.010266016237437725,
0.1190779060125351,
-0.005655776243656874,
0.02198709361255169,
0.030901821330189705,
-0.02082332968711853,
-0.07310213893651962,
0.03828064724802971,
0.020421799272298813,
0.1192769706249237,
-0.04741848260164261,
0.018671106547117233,
0.010796326212584972,
-0.06474821269512177,
-0.0839848667383194,
0.006075521465390921,
-0.05979762226343155,
-0.09696684777736664,
-0.050135135650634766,
0.10483207553625107,
-0.03668910264968872,
-0.08908986300230026,
-0.049758180975914,
-0.07527834177017212,
-0.023966742679476738,
-0.04869457706809044,
-0.06879092007875443,
0.02200150117278099,
-4.030913759685615e-33,
0.03804963454604149,
-0.0738210380077362,
0.012735218740999699,
0.03471189737319946,
0.022548114880919456,
-0.015739040449261665,
-0.026583204045891762,
-0.007444827817380428,
-0.05400751158595085,
-0.00353382364846766,
-0.03895923122763634,
-0.023571377620100975,
0.11259278655052185,
-0.07879865169525146,
0.013188273645937443,
0.11811728030443192,
0.07566049695014954,
-0.052342068403959274,
-0.0009214916499331594,
0.04009224474430084,
0.0016101764049381018,
-0.009704288095235825,
0.041163939982652664,
0.027486171573400497,
-0.0387662909924984,
0.013833533972501755,
-0.05147292837500572,
-0.014723019674420357,
-0.13195611536502838,
0.007535308133810759,
-0.021239308640360832,
-0.0846618115901947,
-0.05178051069378853,
-0.06864956766366959,
-0.04591657966375351,
-0.030306464061141014,
0.03463466465473175,
-0.031375713646411896,
-0.035227034240961075,
0.010894260369241238,
-0.0056409514509141445,
0.04986647889018059,
-0.08866531401872635,
0.02836531586945057,
-0.02385125309228897,
-0.03495371341705322,
-0.0883345827460289,
-0.012488904409110546,
-0.05579523742198944,
0.020082777366042137,
0.03617082163691521,
0.07574494183063507,
0.028423475101590157,
0.015027151443064213,
0.07346891611814499,
0.027247881516814232,
-0.07484009116888046,
0.09947607666254044,
0.03670051693916321,
-0.006180306430906057,
-0.032745011150836945,
-0.055521365255117416,
0.028504636138677597,
0.0992947444319725,
0.0557456836104393,
0.0005362468073144555,
0.004115646239370108,
-0.0005721697234548628,
-0.06131048500537872,
0.004085158929228783,
0.018143992871046066,
-0.014257935807108879,
0.01672842726111412,
0.048985555768013,
-0.06936410814523697,
0.014073096215724945,
0.11814096570014954,
0.03065512329339981,
0.030699418857693672,
0.09383370727300644,
-0.031083356589078903,
0.08728738874197006,
-0.018825393170118332,
0.10157507658004761,
0.03973544389009476,
0.05493960902094841,
0.08745378255844116,
-0.03951109200716019,
0.02814916893839836,
-0.02078317105770111,
0.012584672309458256,
-0.021161163225769997,
0.009639592841267586,
0.001674874103628099,
0.0410279743373394,
-4.6424140975886985e-8,
-0.08008533716201782,
-0.04581458494067192,
0.00017294081044383347,
-0.02447643131017685,
0.14665383100509644,
-0.008562223985791206,
0.037068113684654236,
0.17387919127941132,
-0.07900742441415787,
-0.00912460032850504,
0.10801155865192413,
0.014108598232269287,
-0.0012494405964389443,
0.024070290848612785,
0.02738201804459095,
0.003996246960014105,
-0.029854832217097282,
-0.05665477737784386,
-0.044121529906988144,
0.08558665961027145,
-0.06923387944698334,
0.06939031928777695,
-0.013902870006859303,
0.02789953537285328,
0.004590712022036314,
0.030441248789429665,
0.03064131736755371,
-0.06175263226032257,
0.024805350229144096,
-0.07011741399765015,
0.014902863651514053,
-0.0019865971989929676,
0.10323072224855423,
-0.007509312126785517,
0.018102742731571198,
-0.02230212837457657,
-0.010595502331852913,
0.016420498490333557,
-0.11061332374811172,
-0.061591096222400665,
-0.04649077728390694,
0.029147401452064514,
-0.004338317550718784,
-0.008043898269534111,
0.030950019136071205,
-0.020799947902560234,
-0.034954216331243515,
-0.019243275746703148,
-0.07304871082305908,
0.03243821859359741,
-0.03269264101982117,
0.01858224719762802,
-0.01744103990495205,
0.006122030317783356,
0.02004237100481987,
0.04621089994907379,
-0.04797196015715599,
-0.08094330132007599,
-0.011982736177742481,
-0.03600601479411125,
0.03634428605437279,
-0.04343200474977493,
-0.029201939702033997,
-0.0007059862837195396
] | null | null | null | null | null | null | null | [
-0.02634931355714798,
-0.022817665711045265,
0.05380401015281677,
-0.03197164833545685,
0.011399577371776104,
-0.04043630138039589,
0.04123203456401825,
-0.014764152467250824,
0.06034426763653755,
0.03315506502985954,
-0.009941764175891876,
0.04915899783372879,
0.03900182992219925,
0.02452380768954754,
0.01902170106768608,
0.012348553165793419,
0.11614875495433807,
0.015727726742625237,
-0.07749250531196594,
0.028115108609199524,
-0.0751461461186409,
0.028494765982031822,
0.03819144889712334,
-0.034324463456869125,
0.020319215953350067,
-0.011255009099841118,
0.12758737802505493,
0.009767843410372734,
-0.026530086994171143,
-0.01628865860402584,
-0.019536662846803665,
-0.010509553365409374,
0.06196558102965355,
0.06157824769616127,
-0.006648358888924122,
0.02003355138003826,
0.028672723099589348,
-0.002447120612487197,
-0.06054166331887245,
0.07112710922956467,
-0.0312901996076107,
0.05298731476068497,
0.06982795894145966,
0.07920761406421661,
-0.0240043755620718,
0.05811963602900505,
-0.04513239860534668,
-0.003006049431860447,
-0.03866194933652878,
-0.054000306874513626,
-0.13055002689361572,
0.03878513351082802,
-0.03311639651656151,
0.10841577500104904,
0.020700624212622643,
-0.046009086072444916,
-0.05972704663872719,
-0.05057261884212494,
-0.00008618960418971255,
0.020381122827529907,
0.06656568497419357,
-0.06894707679748535,
0.03481103852391243,
-0.058569081127643585,
0.02512979693710804,
-0.013250051997601986,
0.039429113268852234,
0.06113597750663757,
0.03119356371462345,
0.02014737017452717,
0.0405467227101326,
0.07481519132852554,
-0.18145762383937836,
0.10689239948987961,
-0.04888454079627991,
0.0010700223501771688,
0.05745350196957588,
0.0019288953626528382,
0.0036617477890104055,
-0.06058913841843605,
-0.01944725587964058,
0.06737717241048813,
0.005031279753893614,
-0.027111560106277466,
0.03786543756723404,
-0.1000082716345787,
0.049209244549274445,
0.0012454515090212226,
0.03955648094415665,
-0.06386273354291916,
-0.057680703699588776,
-0.008278372697532177,
-0.0172971710562706,
-0.04284829646348953,
-0.03409644588828087,
-0.015603378415107727,
0.031753480434417725,
0.00588023429736495,
0.08362900465726852,
0.0493912510573864,
-0.009714890271425247,
0.0890507698059082,
-0.0228834617882967,
0.03674279898405075,
-0.037384871393442154,
0.03144291415810585,
-0.00865999236702919,
0.01603604480624199,
0.013942696154117584,
-0.06327515095472336,
0.07069158554077148,
-0.0697721466422081,
-0.07343994081020355,
0.04846528545022011,
-0.027380943298339844,
-0.11547724902629852,
0.033672161400318146,
0.00025451829424127936,
0.013820847496390343,
-0.0787593349814415,
0.014509170316159725,
0.04466971755027771,
0.014525980688631535,
0.003448571776971221,
0.0633641928434372,
0.06353652477264404,
-0.027135757729411125,
4.101828027792862e-33,
0.05363824591040611,
0.005596053320914507,
0.03269372880458832,
-0.046893421560525894,
-0.028125066310167313,
0.01701178029179573,
-0.01895853318274021,
0.008743591606616974,
0.004704105202108622,
0.020026272162795067,
-0.07825537770986557,
-0.007530198432505131,
0.06902723014354706,
-0.06509887427091599,
0.05724291503429413,
-0.008233278058469296,
0.05795123055577278,
0.041131384670734406,
-0.04816226661205292,
0.0037632547318935394,
0.013509982265532017,
-0.05293647199869156,
0.07100912183523178,
0.0006710599409416318,
-0.03765111416578293,
-0.048811815679073334,
0.010641070082783699,
-0.11388304829597473,
0.003310675732791424,
-0.010037395171821117,
-0.051625337451696396,
-0.009241994470357895,
-0.02242855727672577,
0.024475837126374245,
0.03560977429151535,
0.012570446357131004,
-0.028478236868977547,
-0.0458989255130291,
-0.014464514330029488,
-0.07405152916908264,
-0.03037846088409424,
-0.0036153884138911963,
-0.010184510610997677,
-0.0365014486014843,
-0.09558804333209991,
-0.06269846111536026,
-0.01951434463262558,
-0.0005654267151840031,
0.0019006202928721905,
-0.03112248331308365,
0.04810555279254913,
-0.011175009422004223,
-0.04188482463359833,
-0.004012810532003641,
0.05213139206171036,
-0.036342013627290726,
-0.041059739887714386,
-0.012259635142982006,
0.047055091708898544,
0.09765343368053436,
0.02169129252433777,
-0.10333991050720215,
0.03640248253941536,
0.007840655744075775,
0.03778601810336113,
-0.020031914114952087,
0.03009314276278019,
-0.010266016237437725,
0.1190779060125351,
-0.005655776243656874,
0.02198709361255169,
0.030901821330189705,
-0.02082332968711853,
-0.07310213893651962,
0.03828064724802971,
0.020421799272298813,
0.1192769706249237,
-0.04741848260164261,
0.018671106547117233,
0.010796326212584972,
-0.06474821269512177,
-0.0839848667383194,
0.006075521465390921,
-0.05979762226343155,
-0.09696684777736664,
-0.050135135650634766,
0.10483207553625107,
-0.03668910264968872,
-0.08908986300230026,
-0.049758180975914,
-0.07527834177017212,
-0.023966742679476738,
-0.04869457706809044,
-0.06879092007875443,
0.02200150117278099,
-4.030913759685615e-33,
0.03804963454604149,
-0.0738210380077362,
0.012735218740999699,
0.03471189737319946,
0.022548114880919456,
-0.015739040449261665,
-0.026583204045891762,
-0.007444827817380428,
-0.05400751158595085,
-0.00353382364846766,
-0.03895923122763634,
-0.023571377620100975,
0.11259278655052185,
-0.07879865169525146,
0.013188273645937443,
0.11811728030443192,
0.07566049695014954,
-0.052342068403959274,
-0.0009214916499331594,
0.04009224474430084,
0.0016101764049381018,
-0.009704288095235825,
0.041163939982652664,
0.027486171573400497,
-0.0387662909924984,
0.013833533972501755,
-0.05147292837500572,
-0.014723019674420357,
-0.13195611536502838,
0.007535308133810759,
-0.021239308640360832,
-0.0846618115901947,
-0.05178051069378853,
-0.06864956766366959,
-0.04591657966375351,
-0.030306464061141014,
0.03463466465473175,
-0.031375713646411896,
-0.035227034240961075,
0.010894260369241238,
-0.0056409514509141445,
0.04986647889018059,
-0.08866531401872635,
0.02836531586945057,
-0.02385125309228897,
-0.03495371341705322,
-0.0883345827460289,
-0.012488904409110546,
-0.05579523742198944,
0.020082777366042137,
0.03617082163691521,
0.07574494183063507,
0.028423475101590157,
0.015027151443064213,
0.07346891611814499,
0.027247881516814232,
-0.07484009116888046,
0.09947607666254044,
0.03670051693916321,
-0.006180306430906057,
-0.032745011150836945,
-0.055521365255117416,
0.028504636138677597,
0.0992947444319725,
0.0557456836104393,
0.0005362468073144555,
0.004115646239370108,
-0.0005721697234548628,
-0.06131048500537872,
0.004085158929228783,
0.018143992871046066,
-0.014257935807108879,
0.01672842726111412,
0.048985555768013,
-0.06936410814523697,
0.014073096215724945,
0.11814096570014954,
0.03065512329339981,
0.030699418857693672,
0.09383370727300644,
-0.031083356589078903,
0.08728738874197006,
-0.018825393170118332,
0.10157507658004761,
0.03973544389009476,
0.05493960902094841,
0.08745378255844116,
-0.03951109200716019,
0.02814916893839836,
-0.02078317105770111,
0.012584672309458256,
-0.021161163225769997,
0.009639592841267586,
0.001674874103628099,
0.0410279743373394,
-4.6424140975886985e-8,
-0.08008533716201782,
-0.04581458494067192,
0.00017294081044383347,
-0.02447643131017685,
0.14665383100509644,
-0.008562223985791206,
0.037068113684654236,
0.17387919127941132,
-0.07900742441415787,
-0.00912460032850504,
0.10801155865192413,
0.014108598232269287,
-0.0012494405964389443,
0.024070290848612785,
0.02738201804459095,
0.003996246960014105,
-0.029854832217097282,
-0.05665477737784386,
-0.044121529906988144,
0.08558665961027145,
-0.06923387944698334,
0.06939031928777695,
-0.013902870006859303,
0.02789953537285328,
0.004590712022036314,
0.030441248789429665,
0.03064131736755371,
-0.06175263226032257,
0.024805350229144096,
-0.07011741399765015,
0.014902863651514053,
-0.0019865971989929676,
0.10323072224855423,
-0.007509312126785517,
0.018102742731571198,
-0.02230212837457657,
-0.010595502331852913,
0.016420498490333557,
-0.11061332374811172,
-0.061591096222400665,
-0.04649077728390694,
0.029147401452064514,
-0.004338317550718784,
-0.008043898269534111,
0.030950019136071205,
-0.020799947902560234,
-0.034954216331243515,
-0.019243275746703148,
-0.07304871082305908,
0.03243821859359741,
-0.03269264101982117,
0.01858224719762802,
-0.01744103990495205,
0.006122030317783356,
0.02004237100481987,
0.04621089994907379,
-0.04797196015715599,
-0.08094330132007599,
-0.011982736177742481,
-0.03600601479411125,
0.03634428605437279,
-0.04343200474977493,
-0.029201939702033997,
-0.0007059862837195396
] |
1401.1473 | Steven Brunton | Steven L. Brunton and Scott T. M. Dawson and Clarence W. Rowley | State-space model identification and feedback control of unsteady
aerodynamic forces | 20 pages, 13 figures | null | 10.1016/j.jfluidstructs.2014.06.026 | null | physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Unsteady aerodynamic models are necessary to accurately simulate forces and
develop feedback controllers for wings in agile motion; however, these models
are often high dimensional or incompatible with modern control techniques.
Recently, reduced-order unsteady aerodynamic models have been developed for a
pitching and plunging airfoil by linearizing the discretized Navier-Stokes
equation with lift-force output. In this work, we extend these reduced-order
models to include multiple inputs (pitch, plunge, and surge) and explicit
parameterization by the pitch-axis location, inspired by Theodorsen's model.
Next, we investigate the na\"{\i}ve application of system identification
techniques to input--output data and the resulting pitfalls, such as unstable
or inaccurate models. Finally, robust feedback controllers are constructed
based on these low-dimensional state-space models for simulations of a rigid
flat plate at Reynolds number 100. Various controllers are implemented for
models linearized at base angles of attack $\alpha_0=0^\circ,
\alpha_0=10^\circ$, and $\alpha_0=20^\circ$. The resulting control laws are
able to track an aggressive reference lift trajectory while attenuating sensor
noise and compensating for strong nonlinearities.
| [
{
"created": "Tue, 7 Jan 2014 18:44:25 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Brunton",
"Steven L.",
""
],
[
"Dawson",
"Scott T. M.",
""
],
[
"Rowley",
"Clarence W.",
""
]
] | [
-0.027999399229884148,
0.0065206363797187805,
-0.007606805302202702,
0.016515497118234634,
0.007871594280004501,
0.03146892040967941,
-0.09261148422956467,
0.025275707244873047,
0.043812092393636703,
0.03193572908639908,
-0.00949546042829752,
0.02504015900194645,
-0.025390787050127983,
-0.025403790175914764,
-0.08040222525596619,
0.027878569439053535,
0.017972122877836227,
0.07855182141065598,
-0.031288325786590576,
0.057408224791288376,
0.033247724175453186,
0.12669737637043,
-0.05458860471844673,
0.047067951411008835,
-0.0018288558349013329,
-0.006824776064604521,
-0.0028280543629080057,
-0.025621389970183372,
-0.06105425953865051,
-0.05110379308462143,
0.03423037752509117,
-0.06255435198545456,
-0.009530087001621723,
-0.0786927118897438,
-0.01979595609009266,
-0.04689279943704605,
0.049073878675699234,
0.02008204348385334,
-0.09860729426145554,
-0.013669420965015888,
-0.03130621463060379,
0.07145384699106216,
0.05668191239237785,
0.05338985472917557,
0.029946759343147278,
0.04777307063341141,
-0.031592175364494324,
-0.013006043620407581,
0.001481729792430997,
0.02656315453350544,
-0.08941507339477539,
0.031134819611907005,
0.07963145524263382,
-0.024501996114850044,
0.03576618805527687,
0.0010834179120138288,
0.00372027768753469,
-0.008681897073984146,
0.024613581597805023,
0.002900952473282814,
-0.04522375389933586,
-0.08100884407758713,
0.03765488415956497,
-0.024988211691379547,
-0.10977406054735184,
0.021507607772946358,
0.01314823143184185,
0.06377412378787994,
-0.030160587280988693,
0.03575047850608826,
-0.025684867054224014,
-0.01280013658106327,
-0.023414716124534607,
0.014820587821304798,
0.06725947558879852,
-0.047437917441129684,
0.005360743496567011,
0.03629329055547714,
-0.046597644686698914,
0.008977534249424934,
0.053555190563201904,
-0.045288894325494766,
-0.12809211015701294,
-0.05333852022886276,
-0.03439424932003021,
0.002389202592894435,
-0.043038878589868546,
0.04911456257104874,
0.1022462248802185,
0.04727235436439514,
0.001680985325947404,
0.0276695154607296,
0.02967061661183834,
0.00020225577463861555,
0.036394331604242325,
0.025305092334747314,
0.05678590014576912,
-0.01735697127878666,
-0.014497307129204273,
0.06511609256267548,
-0.03117074817419052,
-0.01677917316555977,
0.0620587058365345,
0.06648259609937668,
0.04933563992381096,
0.048083964735269547,
0.06237819045782089,
-0.036716803908348083,
0.026640890166163445,
-0.06914316862821579,
-0.007433523889631033,
-0.033607691526412964,
-0.06213865801692009,
0.03336823731660843,
0.058172449469566345,
-0.1455552577972412,
0.014553445391356945,
-0.12220904231071472,
-0.020271508023142815,
0.0023182446602731943,
0.0017703119665384293,
-0.06119152903556824,
0.044564466923475266,
0.053384486585855484,
0.06478186696767807,
0.03964374586939812,
-0.051622454077005386,
-4.910154238577412e-34,
-0.013720935210585594,
0.13261853158473969,
-0.043886344879865646,
0.08194505423307419,
-0.047944776713848114,
-0.06691426038742065,
0.02307911030948162,
0.007193193770945072,
0.011917194351553917,
0.06847357004880905,
-0.10428860038518906,
0.0022018183954060078,
0.001945607946254313,
0.010859622620046139,
0.011379264295101166,
0.028610603883862495,
0.02047644928097725,
0.038816604763269424,
0.013733596540987492,
-0.020077820867300034,
0.043846968561410904,
0.004696574527770281,
0.0025034407153725624,
-0.10534830391407013,
-0.002064853673800826,
0.019911356270313263,
-0.010573047213256359,
-0.03659567981958389,
-0.07210667431354523,
0.01899825595319271,
0.0010694729862734675,
-0.034585144370794296,
-0.02197582833468914,
-0.02759367972612381,
-0.027144089341163635,
0.06462462246417999,
0.02310682088136673,
-0.054147906601428986,
-0.03707775101065636,
0.05589006841182709,
-0.043599147349596024,
0.03699847310781479,
-0.08469206094741821,
0.0770178809762001,
-0.10471551865339279,
-0.06573387235403061,
-0.09437908232212067,
0.016217123717069626,
-0.016876883804798126,
-0.039510954171419144,
-0.02180769480764866,
0.025951461866497993,
0.04515952244400978,
-0.0030150264501571655,
-0.007806671783328056,
-0.14704516530036926,
-0.02051653154194355,
0.019664250314235687,
-0.031354181468486786,
0.016141146421432495,
-0.014512858353555202,
-0.008568846620619297,
-0.058453094214200974,
-0.04364674538373947,
0.025810763239860535,
0.05975886061787605,
-0.013155575841665268,
0.047895386815071106,
0.011198630556464195,
-0.04592234641313553,
-0.05247222259640694,
-0.07140945643186569,
-0.015221218578517437,
0.04275805875658989,
0.06458094716072083,
-0.02742300182580948,
0.05022374540567398,
-0.03912836313247681,
-0.01279514841735363,
0.02171155996620655,
0.07307931035757065,
0.03230341523885727,
0.013920001685619354,
0.046510156244039536,
-0.003212692914530635,
-0.058423109352588654,
0.02171882800757885,
0.0016787723870947957,
-0.04910100996494293,
-0.04842027649283409,
-0.10556427389383316,
-0.028485994786024094,
0.039371307939291,
0.014794629998505116,
0.03114970214664936,
-1.2640083407552365e-33,
-0.005533822346478701,
0.03948322311043739,
-0.0736079141497612,
0.042746298015117645,
-0.06606248021125793,
0.026999253779649734,
0.04134850203990936,
0.03550966829061508,
-0.0428982712328434,
-0.11909807473421097,
-0.04737863317131996,
-0.04795993119478226,
0.0069233812391757965,
0.060858435928821564,
0.10839469730854034,
-0.021020466461777687,
-0.02389547787606716,
-0.06451679021120071,
0.04660804569721222,
-0.07098832726478577,
0.005451354663819075,
-0.024620937183499336,
-0.05056988075375557,
0.0021132745314389467,
0.013294840231537819,
0.019615672528743744,
0.007740650791674852,
0.08397513628005981,
0.03413703292608261,
-0.01294985506683588,
-0.03392897918820381,
-0.0026757516898214817,
0.05930203199386597,
0.07486014813184738,
-0.0784410834312439,
0.11180831491947174,
-0.0056610992178320885,
0.049064937978982925,
0.00881961826235056,
0.04086700454354286,
-0.004661355167627335,
0.03856931999325752,
-0.04981455206871033,
0.047178562730550766,
0.014197573997080326,
-0.003993633668869734,
0.03460446372628212,
0.08303447812795639,
0.03609148785471916,
-0.018355170264840126,
0.006353561766445637,
0.04412827640771866,
0.00796885509043932,
0.011507578194141388,
0.04653270170092583,
-0.042236704379320145,
0.1099688783288002,
0.011325019411742687,
0.04845747724175453,
-0.02643553726375103,
-0.09907752275466919,
0.005434383172541857,
-0.10270309448242188,
0.0018084708135575056,
0.024991488084197044,
-0.0018819979159161448,
0.005673673935234547,
-0.04847519472241402,
0.009325270541012287,
-0.03168027102947235,
-0.08038090169429779,
0.03200675547122955,
0.08216963708400726,
0.008979076519608498,
-0.002834613434970379,
-0.020277975127100945,
0.04484572261571884,
-0.04727037996053696,
-0.0061142719350755215,
0.01935625821352005,
-0.009179646149277687,
0.016406157985329628,
0.13483209908008575,
0.01899503916501999,
0.014566274359822273,
0.07396538555622101,
-0.025019114837050438,
0.03358440101146698,
-0.02783571556210518,
-0.035893574357032776,
0.047752123326063156,
0.04704144224524498,
0.054078374058008194,
0.03706387057900429,
0.03431582823395729,
-5.069197683837956e-8,
-0.013353228569030762,
0.0386662632226944,
0.04357748106122017,
-0.04674864187836647,
0.007179721258580685,
0.09588253498077393,
-0.03359071537852287,
-0.10764668136835098,
0.052390094846487045,
-0.12146773189306259,
0.07154586166143417,
-0.004382266663014889,
-0.01580008678138256,
-0.05829295516014099,
-0.00884990394115448,
0.06987668573856354,
-0.029482750222086906,
0.035793595016002655,
-0.018280765041708946,
0.022699112072587013,
-0.010525044053792953,
0.0888635590672493,
-0.1025637611746788,
-0.039076440036296844,
0.05111463740468025,
-0.08892548084259033,
-0.12558867037296295,
0.054665882140398026,
0.03999941796064377,
-0.031064718961715698,
-0.010117582976818085,
0.03824036940932274,
0.027885934337973595,
0.03655606508255005,
0.023422958329319954,
0.07329897582530975,
0.06489109992980957,
0.0004177018126938492,
-0.008535406552255154,
-0.04678207263350487,
-0.102632537484169,
0.10253048688173294,
-0.12213927507400513,
-0.05591653659939766,
0.04250345006585121,
0.06395326554775238,
0.03336365148425102,
-0.14760266244411469,
-0.02053525485098362,
0.009815946221351624,
-0.038281287997961044,
0.06100558489561081,
0.0025631829630583525,
0.1068766787648201,
-0.024987390264868736,
0.028630368411540985,
-0.07118239998817444,
-0.0731576532125473,
-0.036875128746032715,
-0.07266440242528915,
-0.021790102124214172,
-0.009233778342604637,
-0.03338835760951042,
0.02018122188746929
] | null | null | null | null | null | null | null | [
-0.027999399229884148,
0.0065206363797187805,
-0.007606805302202702,
0.016515497118234634,
0.007871594280004501,
0.03146892040967941,
-0.09261148422956467,
0.025275707244873047,
0.043812092393636703,
0.03193572908639908,
-0.00949546042829752,
0.02504015900194645,
-0.025390787050127983,
-0.025403790175914764,
-0.08040222525596619,
0.027878569439053535,
0.017972122877836227,
0.07855182141065598,
-0.031288325786590576,
0.057408224791288376,
0.033247724175453186,
0.12669737637043,
-0.05458860471844673,
0.047067951411008835,
-0.0018288558349013329,
-0.006824776064604521,
-0.0028280543629080057,
-0.025621389970183372,
-0.06105425953865051,
-0.05110379308462143,
0.03423037752509117,
-0.06255435198545456,
-0.009530087001621723,
-0.0786927118897438,
-0.01979595609009266,
-0.04689279943704605,
0.049073878675699234,
0.02008204348385334,
-0.09860729426145554,
-0.013669420965015888,
-0.03130621463060379,
0.07145384699106216,
0.05668191239237785,
0.05338985472917557,
0.029946759343147278,
0.04777307063341141,
-0.031592175364494324,
-0.013006043620407581,
0.001481729792430997,
0.02656315453350544,
-0.08941507339477539,
0.031134819611907005,
0.07963145524263382,
-0.024501996114850044,
0.03576618805527687,
0.0010834179120138288,
0.00372027768753469,
-0.008681897073984146,
0.024613581597805023,
0.002900952473282814,
-0.04522375389933586,
-0.08100884407758713,
0.03765488415956497,
-0.024988211691379547,
-0.10977406054735184,
0.021507607772946358,
0.01314823143184185,
0.06377412378787994,
-0.030160587280988693,
0.03575047850608826,
-0.025684867054224014,
-0.01280013658106327,
-0.023414716124534607,
0.014820587821304798,
0.06725947558879852,
-0.047437917441129684,
0.005360743496567011,
0.03629329055547714,
-0.046597644686698914,
0.008977534249424934,
0.053555190563201904,
-0.045288894325494766,
-0.12809211015701294,
-0.05333852022886276,
-0.03439424932003021,
0.002389202592894435,
-0.043038878589868546,
0.04911456257104874,
0.1022462248802185,
0.04727235436439514,
0.001680985325947404,
0.0276695154607296,
0.02967061661183834,
0.00020225577463861555,
0.036394331604242325,
0.025305092334747314,
0.05678590014576912,
-0.01735697127878666,
-0.014497307129204273,
0.06511609256267548,
-0.03117074817419052,
-0.01677917316555977,
0.0620587058365345,
0.06648259609937668,
0.04933563992381096,
0.048083964735269547,
0.06237819045782089,
-0.036716803908348083,
0.026640890166163445,
-0.06914316862821579,
-0.007433523889631033,
-0.033607691526412964,
-0.06213865801692009,
0.03336823731660843,
0.058172449469566345,
-0.1455552577972412,
0.014553445391356945,
-0.12220904231071472,
-0.020271508023142815,
0.0023182446602731943,
0.0017703119665384293,
-0.06119152903556824,
0.044564466923475266,
0.053384486585855484,
0.06478186696767807,
0.03964374586939812,
-0.051622454077005386,
-4.910154238577412e-34,
-0.013720935210585594,
0.13261853158473969,
-0.043886344879865646,
0.08194505423307419,
-0.047944776713848114,
-0.06691426038742065,
0.02307911030948162,
0.007193193770945072,
0.011917194351553917,
0.06847357004880905,
-0.10428860038518906,
0.0022018183954060078,
0.001945607946254313,
0.010859622620046139,
0.011379264295101166,
0.028610603883862495,
0.02047644928097725,
0.038816604763269424,
0.013733596540987492,
-0.020077820867300034,
0.043846968561410904,
0.004696574527770281,
0.0025034407153725624,
-0.10534830391407013,
-0.002064853673800826,
0.019911356270313263,
-0.010573047213256359,
-0.03659567981958389,
-0.07210667431354523,
0.01899825595319271,
0.0010694729862734675,
-0.034585144370794296,
-0.02197582833468914,
-0.02759367972612381,
-0.027144089341163635,
0.06462462246417999,
0.02310682088136673,
-0.054147906601428986,
-0.03707775101065636,
0.05589006841182709,
-0.043599147349596024,
0.03699847310781479,
-0.08469206094741821,
0.0770178809762001,
-0.10471551865339279,
-0.06573387235403061,
-0.09437908232212067,
0.016217123717069626,
-0.016876883804798126,
-0.039510954171419144,
-0.02180769480764866,
0.025951461866497993,
0.04515952244400978,
-0.0030150264501571655,
-0.007806671783328056,
-0.14704516530036926,
-0.02051653154194355,
0.019664250314235687,
-0.031354181468486786,
0.016141146421432495,
-0.014512858353555202,
-0.008568846620619297,
-0.058453094214200974,
-0.04364674538373947,
0.025810763239860535,
0.05975886061787605,
-0.013155575841665268,
0.047895386815071106,
0.011198630556464195,
-0.04592234641313553,
-0.05247222259640694,
-0.07140945643186569,
-0.015221218578517437,
0.04275805875658989,
0.06458094716072083,
-0.02742300182580948,
0.05022374540567398,
-0.03912836313247681,
-0.01279514841735363,
0.02171155996620655,
0.07307931035757065,
0.03230341523885727,
0.013920001685619354,
0.046510156244039536,
-0.003212692914530635,
-0.058423109352588654,
0.02171882800757885,
0.0016787723870947957,
-0.04910100996494293,
-0.04842027649283409,
-0.10556427389383316,
-0.028485994786024094,
0.039371307939291,
0.014794629998505116,
0.03114970214664936,
-1.2640083407552365e-33,
-0.005533822346478701,
0.03948322311043739,
-0.0736079141497612,
0.042746298015117645,
-0.06606248021125793,
0.026999253779649734,
0.04134850203990936,
0.03550966829061508,
-0.0428982712328434,
-0.11909807473421097,
-0.04737863317131996,
-0.04795993119478226,
0.0069233812391757965,
0.060858435928821564,
0.10839469730854034,
-0.021020466461777687,
-0.02389547787606716,
-0.06451679021120071,
0.04660804569721222,
-0.07098832726478577,
0.005451354663819075,
-0.024620937183499336,
-0.05056988075375557,
0.0021132745314389467,
0.013294840231537819,
0.019615672528743744,
0.007740650791674852,
0.08397513628005981,
0.03413703292608261,
-0.01294985506683588,
-0.03392897918820381,
-0.0026757516898214817,
0.05930203199386597,
0.07486014813184738,
-0.0784410834312439,
0.11180831491947174,
-0.0056610992178320885,
0.049064937978982925,
0.00881961826235056,
0.04086700454354286,
-0.004661355167627335,
0.03856931999325752,
-0.04981455206871033,
0.047178562730550766,
0.014197573997080326,
-0.003993633668869734,
0.03460446372628212,
0.08303447812795639,
0.03609148785471916,
-0.018355170264840126,
0.006353561766445637,
0.04412827640771866,
0.00796885509043932,
0.011507578194141388,
0.04653270170092583,
-0.042236704379320145,
0.1099688783288002,
0.011325019411742687,
0.04845747724175453,
-0.02643553726375103,
-0.09907752275466919,
0.005434383172541857,
-0.10270309448242188,
0.0018084708135575056,
0.024991488084197044,
-0.0018819979159161448,
0.005673673935234547,
-0.04847519472241402,
0.009325270541012287,
-0.03168027102947235,
-0.08038090169429779,
0.03200675547122955,
0.08216963708400726,
0.008979076519608498,
-0.002834613434970379,
-0.020277975127100945,
0.04484572261571884,
-0.04727037996053696,
-0.0061142719350755215,
0.01935625821352005,
-0.009179646149277687,
0.016406157985329628,
0.13483209908008575,
0.01899503916501999,
0.014566274359822273,
0.07396538555622101,
-0.025019114837050438,
0.03358440101146698,
-0.02783571556210518,
-0.035893574357032776,
0.047752123326063156,
0.04704144224524498,
0.054078374058008194,
0.03706387057900429,
0.03431582823395729,
-5.069197683837956e-8,
-0.013353228569030762,
0.0386662632226944,
0.04357748106122017,
-0.04674864187836647,
0.007179721258580685,
0.09588253498077393,
-0.03359071537852287,
-0.10764668136835098,
0.052390094846487045,
-0.12146773189306259,
0.07154586166143417,
-0.004382266663014889,
-0.01580008678138256,
-0.05829295516014099,
-0.00884990394115448,
0.06987668573856354,
-0.029482750222086906,
0.035793595016002655,
-0.018280765041708946,
0.022699112072587013,
-0.010525044053792953,
0.0888635590672493,
-0.1025637611746788,
-0.039076440036296844,
0.05111463740468025,
-0.08892548084259033,
-0.12558867037296295,
0.054665882140398026,
0.03999941796064377,
-0.031064718961715698,
-0.010117582976818085,
0.03824036940932274,
0.027885934337973595,
0.03655606508255005,
0.023422958329319954,
0.07329897582530975,
0.06489109992980957,
0.0004177018126938492,
-0.008535406552255154,
-0.04678207263350487,
-0.102632537484169,
0.10253048688173294,
-0.12213927507400513,
-0.05591653659939766,
0.04250345006585121,
0.06395326554775238,
0.03336365148425102,
-0.14760266244411469,
-0.02053525485098362,
0.009815946221351624,
-0.038281287997961044,
0.06100558489561081,
0.0025631829630583525,
0.1068766787648201,
-0.024987390264868736,
0.028630368411540985,
-0.07118239998817444,
-0.0731576532125473,
-0.036875128746032715,
-0.07266440242528915,
-0.021790102124214172,
-0.009233778342604637,
-0.03338835760951042,
0.02018122188746929
] |
1401.1475 | Paulo Shakarian | Paulo Shakarian, Gerardo I. Simari, Marcelo A. Falappa | Belief Revision in Structured Probabilistic Argumentation | null | null | null | null | cs.LO cs.AI | http://creativecommons.org/licenses/publicdomain/ | In real-world applications, knowledge bases consisting of all the information
at hand for a specific domain, along with the current state of affairs, are
bound to contain contradictory data coming from different sources, as well as
data with varying degrees of uncertainty attached. Likewise, an important
aspect of the effort associated with maintaining knowledge bases is deciding
what information is no longer useful; pieces of information (such as
intelligence reports) may be outdated, may come from sources that have recently
been discovered to be of low quality, or abundant evidence may be available
that contradicts them. In this paper, we propose a probabilistic structured
argumentation framework that arises from the extension of Presumptive
Defeasible Logic Programming (PreDeLP) with probabilistic models, and argue
that this formalism is capable of addressing the basic issues of handling
contradictory and uncertain data. Then, to address the last issue, we focus on
the study of non-prioritized belief revision operations over probabilistic
PreDeLP programs. We propose a set of rationality postulates -- based on
well-known ones developed for classical knowledge bases -- that characterize
how such operations should behave, and study a class of operators along with
theoretical relationships with the proposed postulates, including a
representation theorem stating the equivalence between this class and the class
of operators characterized by the postulates.
| [
{
"created": "Tue, 7 Jan 2014 18:53:24 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Shakarian",
"Paulo",
""
],
[
"Simari",
"Gerardo I.",
""
],
[
"Falappa",
"Marcelo A.",
""
]
] | [
-0.015128995291888714,
0.015841253101825714,
0.003593282774090767,
-0.00039283695514313877,
0.002062245737761259,
-0.03924788534641266,
0.031019775196909904,
0.022749535739421844,
0.0021877659019082785,
0.05503975600004196,
-0.016378799453377724,
-0.012883173301815987,
0.07522444427013397,
0.031608108431100845,
0.010677195154130459,
0.07756846398115158,
0.05566255748271942,
0.02438395656645298,
-0.04000261798501015,
0.011430942453444004,
-0.07027959078550339,
0.038408540189266205,
-0.03719666600227356,
0.059449177235364914,
0.0012806621380150318,
-0.05420300364494324,
0.028861530125141144,
0.02476678043603897,
-0.025406844913959503,
0.03534024953842163,
-0.0383714996278286,
0.016106804832816124,
0.017055336385965347,
-0.022207360714673996,
0.03611000254750252,
0.08198374509811401,
0.026449520140886307,
0.01604546420276165,
0.005674122832715511,
0.0264601893723011,
-0.03861534968018532,
0.03069913014769554,
-0.05749265104532242,
0.001929189427755773,
-0.022695571184158325,
0.07292509078979492,
-0.00020348161342553794,
0.02450934424996376,
-0.04614565148949623,
0.005393752828240395,
-0.0953625962138176,
0.001451464369893074,
-0.0499337837100029,
-0.07814383506774902,
0.04547901451587677,
0.041909702122211456,
-0.019001681357622147,
-0.02042301557958126,
-0.05326147377490997,
-0.11983422189950943,
-0.05539555847644806,
-0.01197861135005951,
-0.02788699045777321,
-0.013999064452946186,
-0.031817030161619186,
0.03491828218102455,
0.006667654030025005,
0.05261478200554848,
0.03244693949818611,
0.09230881184339523,
-0.053947292268276215,
0.10139817744493484,
-0.06164880841970444,
0.03355749323964119,
-0.07168491929769516,
-0.024301720783114433,
0.033103689551353455,
-0.010529975406825542,
-0.01968449540436268,
-0.040336042642593384,
-0.005729979369789362,
-0.0004350983945187181,
-0.017030101269483566,
0.03750935569405556,
0.11001265048980713,
-0.0511101633310318,
0.06584268063306808,
0.01970093883574009,
0.062437959015369415,
0.01679471880197525,
-0.05321547016501427,
-0.059662774205207825,
0.05181461572647095,
0.06454742699861526,
0.10588626563549042,
0.07824992388486862,
-0.0033671180717647076,
-0.11185911297798157,
0.020716289058327675,
0.09333932399749756,
-0.008615507744252682,
0.07402006536722183,
0.03574981912970543,
-0.1096700131893158,
0.02387448586523533,
-0.02487826906144619,
-0.04799512401223183,
-0.003012279514223337,
-0.0066722300834953785,
-0.05506759136915207,
0.05572335422039032,
-0.04030159115791321,
0.004092548508197069,
-0.08024057000875473,
-0.04570016637444496,
-0.017405401915311813,
0.04598967730998993,
0.06871206313371658,
-0.09715664386749268,
-0.12737296521663666,
0.02001187391579151,
0.014361529611051083,
0.09715454280376434,
0.0605018213391304,
0.01552295871078968,
-0.07421883195638657,
-0.0015993238193914294,
2.447778171807313e-33,
0.020284872502088547,
-0.001985205104574561,
0.048199813812971115,
0.045878816395998,
0.00625487370416522,
0.06424861401319504,
0.03334461525082588,
-0.029874254018068314,
-0.013578696176409721,
-0.013660273514688015,
0.05451981723308563,
0.05545169860124588,
-0.04767807200551033,
-0.06409666687250137,
0.05883684754371643,
-0.004286607727408409,
-0.04516391456127167,
0.046319492161273956,
-0.013560717925429344,
-0.04201997071504593,
0.05396907404065132,
-0.044133611023426056,
-0.09743070602416992,
-0.022561030462384224,
0.05483883246779442,
0.02253744564950466,
0.04865949600934982,
0.03524942696094513,
-0.05042976140975952,
-0.030629625543951988,
-0.07207199931144714,
-0.04841037094593048,
0.04582853242754936,
0.05999159440398216,
-0.007006496656686068,
0.002023114822804928,
-0.036412421613931656,
-0.09596472978591919,
0.012637661769986153,
-0.027733389288187027,
0.0781807005405426,
0.04538688436150551,
-0.017695961520075798,
0.06442762166261673,
-0.001182102714665234,
-0.10930552333593369,
-0.06069308891892433,
0.0059927054680883884,
0.009909122250974178,
-0.11551646143198013,
0.0961439311504364,
0.0350942388176918,
0.026962118223309517,
-0.008633810095489025,
-0.09477964788675308,
-0.020571989938616753,
0.005067796446382999,
0.011860736645758152,
0.019788643345236778,
0.05128846317529678,
-0.009786486625671387,
0.04111890867352486,
-0.03404884412884712,
0.056364111602306366,
-0.038761865347623825,
0.05564425140619278,
-0.11628400534391403,
-0.0007712547667324543,
0.0655987560749054,
-0.030091416090726852,
-0.016388090327382088,
-0.013027196750044823,
0.01968207210302353,
-0.01608455367386341,
-0.010196180082857609,
0.00443948432803154,
-0.06325581669807434,
0.002513718092814088,
0.060262467712163925,
-0.03599753975868225,
0.023094259202480316,
-0.01255788840353489,
-0.057987820357084274,
0.08326491713523865,
0.04281368479132652,
-0.02937130071222782,
0.024565059691667557,
0.03977126255631447,
-0.06094157695770264,
-0.027068380266427994,
-0.02643432840704918,
-0.006663079839199781,
-0.026486946269869804,
-0.05886790156364441,
0.035597652196884155,
-4.459226799584809e-33,
-0.08841103315353394,
-0.0321289524435997,
-0.01065907720476389,
0.03707541897892952,
-0.03296557068824768,
-0.06396985054016113,
0.02010331116616726,
-0.08672884851694107,
0.04379337653517723,
-0.1596202701330185,
-0.06815490126609802,
-0.07539841532707214,
0.039544545114040375,
-0.07332191616296768,
-0.044821687042713165,
0.029760951176285744,
-0.06116034463047981,
-0.0608183853328228,
-0.09293314814567566,
0.062002357095479965,
0.01625564508140087,
0.021222561597824097,
-0.07406992465257645,
0.04317573457956314,
0.053801022469997406,
0.05361972376704216,
-0.011247646063566208,
0.06224798038601875,
0.062401313334703445,
-0.004084569867700338,
-0.06157689914107323,
-0.08404912799596786,
-0.004240315407514572,
-0.059296585619449615,
-0.07138361781835556,
-0.024452483281493187,
0.025837909430265427,
0.038352545350790024,
-0.07754436880350113,
0.028843259438872337,
0.057529516518116,
-0.0523441806435585,
-0.06109289824962616,
-0.04351289942860603,
0.002063682535663247,
0.01875389739871025,
-0.010665284469723701,
0.01901346445083618,
-0.006245118100196123,
-0.07375852018594742,
0.00421641580760479,
0.012723640538752079,
-0.021385282278060913,
0.064826101064682,
-0.012094669975340366,
-0.0048237210139632225,
-0.06535427272319794,
-0.0034046892542392015,
0.05539149045944214,
0.06631800532341003,
-0.04155782237648964,
0.03904154524207115,
0.07117851078510284,
0.0668531134724617,
0.04792752489447594,
-0.020278820767998695,
-0.06166904792189598,
0.008741499856114388,
0.012650541961193085,
0.009975102730095387,
-0.051197465509176254,
0.012737078592181206,
-0.048343926668167114,
-0.024330535903573036,
0.06670193374156952,
0.029267018660902977,
0.010875982232391834,
0.048486389219760895,
0.05899679288268089,
0.040169864892959595,
0.03900044038891792,
-0.09684614092111588,
0.14910951256752014,
0.07541516423225403,
0.004953238181769848,
-0.05459558591246605,
0.07021830976009369,
0.0033699232153594494,
0.046528175473213196,
0.012948334217071533,
-0.026166794821619987,
0.021772313863039017,
-0.007706190925091505,
0.043561164289712906,
-0.08733958005905151,
-5.212233844531511e-8,
-0.02183825708925724,
0.027732722461223602,
0.05475445091724396,
0.032569751143455505,
0.09118323773145676,
-0.09291693568229675,
-0.040017787367105484,
-0.03570899739861488,
-0.03721211478114128,
-0.10722015053033829,
0.0010590264573693275,
0.03554842248558998,
-0.01459682546555996,
-0.08839108049869537,
-0.05347815155982971,
0.05948026850819588,
0.01599428430199623,
-0.020152658224105835,
-0.012876437045633793,
0.017780059948563576,
-0.019816284999251366,
0.0030205922666937113,
-0.07548069208860397,
0.032180942595005035,
0.1020863801240921,
-0.04552824795246124,
-0.003860403783619404,
0.08607564866542816,
0.043519578874111176,
0.03348342329263687,
0.025404036045074463,
-0.02475479245185852,
0.13932371139526367,
0.02754695899784565,
0.061862580478191376,
0.015022640116512775,
0.03624364733695984,
0.006685355212539434,
-0.030622752383351326,
-0.10909844189882278,
0.007971487008035183,
0.023446639999747276,
-0.09672898799180984,
0.07212159037590027,
0.04121518135070801,
-0.049853768199682236,
-0.029113147407770157,
-0.05418247729539871,
0.009792973287403584,
0.019380245357751846,
0.004033223260194063,
0.046799834817647934,
0.005336279980838299,
0.02535625360906124,
-0.018380029127001762,
0.12954241037368774,
-0.017005212604999542,
-0.0004104542313143611,
-0.03381972759962082,
-0.060598693788051605,
0.048664744943380356,
0.022982709109783173,
0.05476267635822296,
0.08713463693857193
] | null | null | null | null | null | null | null | [
-0.015128995291888714,
0.015841253101825714,
0.003593282774090767,
-0.00039283695514313877,
0.002062245737761259,
-0.03924788534641266,
0.031019775196909904,
0.022749535739421844,
0.0021877659019082785,
0.05503975600004196,
-0.016378799453377724,
-0.012883173301815987,
0.07522444427013397,
0.031608108431100845,
0.010677195154130459,
0.07756846398115158,
0.05566255748271942,
0.02438395656645298,
-0.04000261798501015,
0.011430942453444004,
-0.07027959078550339,
0.038408540189266205,
-0.03719666600227356,
0.059449177235364914,
0.0012806621380150318,
-0.05420300364494324,
0.028861530125141144,
0.02476678043603897,
-0.025406844913959503,
0.03534024953842163,
-0.0383714996278286,
0.016106804832816124,
0.017055336385965347,
-0.022207360714673996,
0.03611000254750252,
0.08198374509811401,
0.026449520140886307,
0.01604546420276165,
0.005674122832715511,
0.0264601893723011,
-0.03861534968018532,
0.03069913014769554,
-0.05749265104532242,
0.001929189427755773,
-0.022695571184158325,
0.07292509078979492,
-0.00020348161342553794,
0.02450934424996376,
-0.04614565148949623,
0.005393752828240395,
-0.0953625962138176,
0.001451464369893074,
-0.0499337837100029,
-0.07814383506774902,
0.04547901451587677,
0.041909702122211456,
-0.019001681357622147,
-0.02042301557958126,
-0.05326147377490997,
-0.11983422189950943,
-0.05539555847644806,
-0.01197861135005951,
-0.02788699045777321,
-0.013999064452946186,
-0.031817030161619186,
0.03491828218102455,
0.006667654030025005,
0.05261478200554848,
0.03244693949818611,
0.09230881184339523,
-0.053947292268276215,
0.10139817744493484,
-0.06164880841970444,
0.03355749323964119,
-0.07168491929769516,
-0.024301720783114433,
0.033103689551353455,
-0.010529975406825542,
-0.01968449540436268,
-0.040336042642593384,
-0.005729979369789362,
-0.0004350983945187181,
-0.017030101269483566,
0.03750935569405556,
0.11001265048980713,
-0.0511101633310318,
0.06584268063306808,
0.01970093883574009,
0.062437959015369415,
0.01679471880197525,
-0.05321547016501427,
-0.059662774205207825,
0.05181461572647095,
0.06454742699861526,
0.10588626563549042,
0.07824992388486862,
-0.0033671180717647076,
-0.11185911297798157,
0.020716289058327675,
0.09333932399749756,
-0.008615507744252682,
0.07402006536722183,
0.03574981912970543,
-0.1096700131893158,
0.02387448586523533,
-0.02487826906144619,
-0.04799512401223183,
-0.003012279514223337,
-0.0066722300834953785,
-0.05506759136915207,
0.05572335422039032,
-0.04030159115791321,
0.004092548508197069,
-0.08024057000875473,
-0.04570016637444496,
-0.017405401915311813,
0.04598967730998993,
0.06871206313371658,
-0.09715664386749268,
-0.12737296521663666,
0.02001187391579151,
0.014361529611051083,
0.09715454280376434,
0.0605018213391304,
0.01552295871078968,
-0.07421883195638657,
-0.0015993238193914294,
2.447778171807313e-33,
0.020284872502088547,
-0.001985205104574561,
0.048199813812971115,
0.045878816395998,
0.00625487370416522,
0.06424861401319504,
0.03334461525082588,
-0.029874254018068314,
-0.013578696176409721,
-0.013660273514688015,
0.05451981723308563,
0.05545169860124588,
-0.04767807200551033,
-0.06409666687250137,
0.05883684754371643,
-0.004286607727408409,
-0.04516391456127167,
0.046319492161273956,
-0.013560717925429344,
-0.04201997071504593,
0.05396907404065132,
-0.044133611023426056,
-0.09743070602416992,
-0.022561030462384224,
0.05483883246779442,
0.02253744564950466,
0.04865949600934982,
0.03524942696094513,
-0.05042976140975952,
-0.030629625543951988,
-0.07207199931144714,
-0.04841037094593048,
0.04582853242754936,
0.05999159440398216,
-0.007006496656686068,
0.002023114822804928,
-0.036412421613931656,
-0.09596472978591919,
0.012637661769986153,
-0.027733389288187027,
0.0781807005405426,
0.04538688436150551,
-0.017695961520075798,
0.06442762166261673,
-0.001182102714665234,
-0.10930552333593369,
-0.06069308891892433,
0.0059927054680883884,
0.009909122250974178,
-0.11551646143198013,
0.0961439311504364,
0.0350942388176918,
0.026962118223309517,
-0.008633810095489025,
-0.09477964788675308,
-0.020571989938616753,
0.005067796446382999,
0.011860736645758152,
0.019788643345236778,
0.05128846317529678,
-0.009786486625671387,
0.04111890867352486,
-0.03404884412884712,
0.056364111602306366,
-0.038761865347623825,
0.05564425140619278,
-0.11628400534391403,
-0.0007712547667324543,
0.0655987560749054,
-0.030091416090726852,
-0.016388090327382088,
-0.013027196750044823,
0.01968207210302353,
-0.01608455367386341,
-0.010196180082857609,
0.00443948432803154,
-0.06325581669807434,
0.002513718092814088,
0.060262467712163925,
-0.03599753975868225,
0.023094259202480316,
-0.01255788840353489,
-0.057987820357084274,
0.08326491713523865,
0.04281368479132652,
-0.02937130071222782,
0.024565059691667557,
0.03977126255631447,
-0.06094157695770264,
-0.027068380266427994,
-0.02643432840704918,
-0.006663079839199781,
-0.026486946269869804,
-0.05886790156364441,
0.035597652196884155,
-4.459226799584809e-33,
-0.08841103315353394,
-0.0321289524435997,
-0.01065907720476389,
0.03707541897892952,
-0.03296557068824768,
-0.06396985054016113,
0.02010331116616726,
-0.08672884851694107,
0.04379337653517723,
-0.1596202701330185,
-0.06815490126609802,
-0.07539841532707214,
0.039544545114040375,
-0.07332191616296768,
-0.044821687042713165,
0.029760951176285744,
-0.06116034463047981,
-0.0608183853328228,
-0.09293314814567566,
0.062002357095479965,
0.01625564508140087,
0.021222561597824097,
-0.07406992465257645,
0.04317573457956314,
0.053801022469997406,
0.05361972376704216,
-0.011247646063566208,
0.06224798038601875,
0.062401313334703445,
-0.004084569867700338,
-0.06157689914107323,
-0.08404912799596786,
-0.004240315407514572,
-0.059296585619449615,
-0.07138361781835556,
-0.024452483281493187,
0.025837909430265427,
0.038352545350790024,
-0.07754436880350113,
0.028843259438872337,
0.057529516518116,
-0.0523441806435585,
-0.06109289824962616,
-0.04351289942860603,
0.002063682535663247,
0.01875389739871025,
-0.010665284469723701,
0.01901346445083618,
-0.006245118100196123,
-0.07375852018594742,
0.00421641580760479,
0.012723640538752079,
-0.021385282278060913,
0.064826101064682,
-0.012094669975340366,
-0.0048237210139632225,
-0.06535427272319794,
-0.0034046892542392015,
0.05539149045944214,
0.06631800532341003,
-0.04155782237648964,
0.03904154524207115,
0.07117851078510284,
0.0668531134724617,
0.04792752489447594,
-0.020278820767998695,
-0.06166904792189598,
0.008741499856114388,
0.012650541961193085,
0.009975102730095387,
-0.051197465509176254,
0.012737078592181206,
-0.048343926668167114,
-0.024330535903573036,
0.06670193374156952,
0.029267018660902977,
0.010875982232391834,
0.048486389219760895,
0.05899679288268089,
0.040169864892959595,
0.03900044038891792,
-0.09684614092111588,
0.14910951256752014,
0.07541516423225403,
0.004953238181769848,
-0.05459558591246605,
0.07021830976009369,
0.0033699232153594494,
0.046528175473213196,
0.012948334217071533,
-0.026166794821619987,
0.021772313863039017,
-0.007706190925091505,
0.043561164289712906,
-0.08733958005905151,
-5.212233844531511e-8,
-0.02183825708925724,
0.027732722461223602,
0.05475445091724396,
0.032569751143455505,
0.09118323773145676,
-0.09291693568229675,
-0.040017787367105484,
-0.03570899739861488,
-0.03721211478114128,
-0.10722015053033829,
0.0010590264573693275,
0.03554842248558998,
-0.01459682546555996,
-0.08839108049869537,
-0.05347815155982971,
0.05948026850819588,
0.01599428430199623,
-0.020152658224105835,
-0.012876437045633793,
0.017780059948563576,
-0.019816284999251366,
0.0030205922666937113,
-0.07548069208860397,
0.032180942595005035,
0.1020863801240921,
-0.04552824795246124,
-0.003860403783619404,
0.08607564866542816,
0.043519578874111176,
0.03348342329263687,
0.025404036045074463,
-0.02475479245185852,
0.13932371139526367,
0.02754695899784565,
0.061862580478191376,
0.015022640116512775,
0.03624364733695984,
0.006685355212539434,
-0.030622752383351326,
-0.10909844189882278,
0.007971487008035183,
0.023446639999747276,
-0.09672898799180984,
0.07212159037590027,
0.04121518135070801,
-0.049853768199682236,
-0.029113147407770157,
-0.05418247729539871,
0.009792973287403584,
0.019380245357751846,
0.004033223260194063,
0.046799834817647934,
0.005336279980838299,
0.02535625360906124,
-0.018380029127001762,
0.12954241037368774,
-0.017005212604999542,
-0.0004104542313143611,
-0.03381972759962082,
-0.060598693788051605,
0.048664744943380356,
0.022982709109783173,
0.05476267635822296,
0.08713463693857193
] |
1401.1477 | Sariel Har-Peled | Sariel Har-Peled and Benjamin Raichel | On the Complexity of Randomly Weighted Voronoi Diagrams | null | null | null | null | cs.CG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we provide an $O(n \mathrm{polylog} n)$ bound on the expected
complexity of the randomly weighted Voronoi diagram of a set of $n$ sites in
the plane, where the sites can be either points, interior-disjoint convex sets,
or other more general objects. Here the randomness is on the weight of the
sites, not their location. This compares favorably with the worst case
complexity of these diagrams, which is quadratic. As a consequence we get an
alternative proof to that of Agarwal etal [AHKS13] of the near linear
complexity of the union of randomly expanded disjoint segments or convex sets
(with an improved bound on the latter). The technique we develop is elegant and
should be applicable to other problems.
| [
{
"created": "Tue, 7 Jan 2014 19:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Mar 2015 21:39:27 GMT",
"version": "v2"
}
] | 2015-03-23 | [
[
"Har-Peled",
"Sariel",
""
],
[
"Raichel",
"Benjamin",
""
]
] | [
0.07500515133142471,
-0.006871557794511318,
0.08896642923355103,
-0.027059877291321754,
0.053542982786893845,
-0.12488715350627899,
0.058817680925130844,
-0.05896779149770737,
0.06548190861940384,
0.007509586401283741,
-0.07443016767501831,
0.03537270426750183,
-0.002420394914224744,
-0.02050473727285862,
0.007187254726886749,
-0.0213945209980011,
0.045534130185842514,
-0.11175597459077835,
0.012965966016054153,
0.03933613747358322,
0.01229236088693142,
-0.04238560050725937,
-0.004229339770972729,
-0.06105094030499458,
0.05397161468863487,
-0.09329760074615479,
-0.04746492579579353,
0.018589843064546585,
0.018899278715252876,
0.005259569268673658,
0.04959617182612419,
-0.014892883598804474,
0.07631227374076843,
-0.04982753098011017,
0.05463235080242157,
0.012081919237971306,
-0.002242847578600049,
-0.015145324170589447,
0.04412515088915825,
0.12857337296009064,
0.009722627699375153,
0.09992195665836334,
0.08539673686027527,
0.02771235629916191,
0.02202850952744484,
0.04458353668451309,
-0.038452137261629105,
-0.024061055853962898,
-0.05395030230283737,
-0.05944172665476799,
-0.011730337515473366,
-0.04450242221355438,
-0.03699232637882233,
-0.014769496396183968,
-0.08207488805055618,
-0.05087042599916458,
0.003914950415492058,
-0.046820018440485,
-0.027086468413472176,
-0.0058264038525521755,
0.08689655363559723,
0.030697166919708252,
-0.028927993029356003,
-0.03051280975341797,
-0.021023457869887352,
-0.046369753777980804,
0.07159023731946945,
0.08379518985748291,
0.007323375903069973,
0.057256460189819336,
-0.004472806584089994,
0.12417858839035034,
-0.12672282755374908,
0.02225513756275177,
0.06415677815675735,
0.008280736394226551,
-0.05344618856906891,
-0.03714994341135025,
-0.0754236951470375,
-0.07480547577142715,
-0.025845076888799667,
0.03897468000650406,
0.04082536697387695,
0.01704421453177929,
-0.025233864784240723,
-0.004413863178342581,
-0.04587147757411003,
-0.0010625835275277495,
0.050941549241542816,
-0.03231634572148323,
-0.09333173930644989,
-0.021610410884022713,
0.0015464163152500987,
-0.02728263847529888,
0.023034412413835526,
-0.00022943313524592668,
-0.002346592489629984,
0.021549316123127937,
0.027051405981183052,
0.09448526799678802,
-0.012169668450951576,
-0.09364044666290283,
0.05503291264176369,
-0.0711623802781105,
-0.0066166589967906475,
0.06540216505527496,
-0.02018064633011818,
-0.0015634812880307436,
0.012544562108814716,
-0.03006945550441742,
0.026041656732559204,
-0.02137036621570587,
0.03556659445166588,
0.06281520426273346,
-0.07826989889144897,
-0.000766168290283531,
0.015268510207533836,
-0.009140059351921082,
0.0006797582027502358,
-0.011221619322896004,
-0.042202338576316833,
-0.01890162006020546,
-0.02217419259250164,
-0.021111678332090378,
0.03171659633517265,
0.015254429541528225,
0.06545472890138626,
2.5875394910032904e-34,
0.06397498399019241,
-0.02247033268213272,
0.0684535801410675,
0.014392729848623276,
0.11093796789646149,
0.04065265506505966,
0.04419127106666565,
-0.1311783641576767,
0.020757032558321953,
0.05956342816352844,
-0.04439372941851616,
-0.045163270086050034,
0.05394665151834488,
-0.03263501077890396,
0.1438385397195816,
-0.013536527752876282,
0.05464719608426094,
0.0006805150769650936,
-0.019120557233691216,
-0.048532821238040924,
0.05347251147031784,
-0.032898809760808945,
-0.041468169540166855,
-0.023098157718777657,
7.890456288350833e-9,
-0.06110328063368797,
-0.016502512618899345,
-0.06807857751846313,
-0.0427885428071022,
0.055712126195430756,
-0.05059446394443512,
0.04897984489798546,
0.03424401581287384,
0.09942816197872162,
-0.01687943935394287,
-0.014444248750805855,
-0.047928586602211,
-0.04983927309513092,
-0.058215100318193436,
-0.09601134806871414,
0.030662929639220238,
0.01398626808077097,
0.01587861217558384,
-0.016654914245009422,
0.029704535380005836,
0.012442562729120255,
-0.010736198164522648,
0.03843042626976967,
-0.010240352712571621,
0.016760075464844704,
0.013837209902703762,
0.0503709614276886,
-0.05637851729989052,
-0.014284132979810238,
-0.014578375034034252,
0.004237046930938959,
-0.04883597418665886,
-0.011853093281388283,
0.06758516281843185,
0.15696385502815247,
0.01755831390619278,
-0.0037680480163544416,
-0.02521425671875477,
0.035713084042072296,
-0.038409218192100525,
0.03568514809012413,
0.06407680362462997,
-0.06124056503176689,
0.10607145726680756,
-0.04038500785827637,
-0.007207260467112064,
-0.029187699779868126,
-0.03908724710345268,
-0.07085906714200974,
-0.03296491503715515,
0.03218964487314224,
-0.03152797743678093,
-0.06657259166240692,
-0.04016663134098053,
0.03437623009085655,
0.0013418634189292789,
-0.10556532442569733,
-0.0013443450443446636,
-0.12408461421728134,
0.008645271882414818,
-0.058579735457897186,
0.08547504991292953,
-0.009386037476360798,
-0.04523348808288574,
-0.0072345552034676075,
-0.030043592676520348,
-0.04553467407822609,
0.005856482777744532,
0.0132059957832098,
0.054931044578552246,
-1.940966904857153e-33,
-0.07355979830026627,
-0.06451410800218582,
0.06493911147117615,
0.0032044160179793835,
-0.02485727332532406,
-0.07060510665178299,
-0.04644409567117691,
-0.013212825171649456,
-0.019591866061091423,
0.0008340159547515213,
-0.05720535293221474,
0.03893456235527992,
0.0061081391759216785,
-0.011357809416949749,
0.02740255370736122,
-0.030459018424153328,
0.05411534383893013,
0.015331321395933628,
0.02709924802184105,
-0.011620274744927883,
0.07130265980958939,
-0.02679281309247017,
-0.01612449809908867,
0.03725958988070488,
0.03549186885356903,
0.016671814024448395,
-0.0549580417573452,
-0.02514147199690342,
-0.046798232942819595,
0.04457855224609375,
-0.09445933997631073,
-0.07737807184457779,
-0.045131865888834,
0.04239402338862419,
0.01605643890798092,
-0.04280984774231911,
0.09328381717205048,
0.00017978018149733543,
-0.02747935988008976,
-0.014291099272668362,
0.0036633440759032965,
-0.013836503960192204,
0.029265718534588814,
-0.00926361046731472,
0.035644497722387314,
-0.007638059090822935,
-0.0727056935429573,
0.026534443721175194,
0.008068101480603218,
-0.03759181126952171,
-0.046211715787649155,
0.020242461934685707,
0.03886233642697334,
0.08748393505811691,
0.10481135547161102,
0.013682033866643906,
-0.07627981156110764,
0.1049218475818634,
-0.013141081668436527,
-0.09555687755346298,
-0.07211633026599884,
-0.018746647983789444,
-0.06360771507024765,
0.157929927110672,
0.0554836243391037,
-0.04652121290564537,
-0.003008915577083826,
-0.06458673626184464,
-0.012176441960036755,
0.03873524069786072,
0.02735680714249611,
0.02595479041337967,
-0.019357945770025253,
-0.004022177774459124,
-0.00949030090123415,
0.027740320190787315,
0.0721246600151062,
0.023248517885804176,
-0.06264100223779678,
0.034528959542512894,
-0.04753673076629639,
-0.018011370673775673,
0.04874882847070694,
-0.04243074357509613,
0.06021502986550331,
-0.018237603828310966,
0.07394865155220032,
-0.016925470903515816,
0.008075195364654064,
0.034046366810798645,
-0.00978172104805708,
0.04065203666687012,
0.08374389261007309,
-0.0028904667124152184,
0.005728301126509905,
-4.2973930192147236e-8,
0.011879638768732548,
-0.049550749361515045,
-0.04257398843765259,
-0.06021961569786072,
0.03540396690368652,
-0.056488268077373505,
0.04626525193452835,
0.13745835423469543,
-0.0751180499792099,
0.06786691397428513,
0.0768396258354187,
0.06792978942394257,
0.013277783058583736,
0.05953473225235939,
-0.04949277266860008,
0.03501628711819649,
-0.018123043701052666,
-0.0034996073227375746,
0.014265292324125767,
-0.005426687188446522,
-0.03779608756303787,
0.015171965584158897,
0.039848532527685165,
0.004396301694214344,
-0.08560095727443695,
-0.008888917975127697,
0.02926073782145977,
-0.09502281248569489,
-0.007652241736650467,
0.01872606948018074,
-0.04926501587033272,
0.008833233267068863,
0.02575732208788395,
-0.010876532644033432,
0.027157017961144447,
0.03040897101163864,
-0.06314681470394135,
-0.03595167025923729,
-0.004821626469492912,
-0.06333471834659576,
0.03216354548931122,
-0.010075563564896584,
0.14194223284721375,
-0.03170488029718399,
0.1747085601091385,
0.008386597037315369,
0.01667737029492855,
0.02320238947868347,
-0.027880817651748657,
-0.08240879327058792,
-0.05834381282329559,
-0.021285003051161766,
0.018500307574868202,
0.007671101484447718,
0.04196954518556595,
0.022254206240177155,
-0.041906774044036865,
-0.09317733347415924,
0.08499881625175476,
0.03381461650133133,
0.008030141703784466,
-0.0029110433533787727,
-0.02209557592868805,
-0.045113615691661835
] | null | null | null | null | null | null | null | [
0.07500515133142471,
-0.006871557794511318,
0.08896642923355103,
-0.027059877291321754,
0.053542982786893845,
-0.12488715350627899,
0.058817680925130844,
-0.05896779149770737,
0.06548190861940384,
0.007509586401283741,
-0.07443016767501831,
0.03537270426750183,
-0.002420394914224744,
-0.02050473727285862,
0.007187254726886749,
-0.0213945209980011,
0.045534130185842514,
-0.11175597459077835,
0.012965966016054153,
0.03933613747358322,
0.01229236088693142,
-0.04238560050725937,
-0.004229339770972729,
-0.06105094030499458,
0.05397161468863487,
-0.09329760074615479,
-0.04746492579579353,
0.018589843064546585,
0.018899278715252876,
0.005259569268673658,
0.04959617182612419,
-0.014892883598804474,
0.07631227374076843,
-0.04982753098011017,
0.05463235080242157,
0.012081919237971306,
-0.002242847578600049,
-0.015145324170589447,
0.04412515088915825,
0.12857337296009064,
0.009722627699375153,
0.09992195665836334,
0.08539673686027527,
0.02771235629916191,
0.02202850952744484,
0.04458353668451309,
-0.038452137261629105,
-0.024061055853962898,
-0.05395030230283737,
-0.05944172665476799,
-0.011730337515473366,
-0.04450242221355438,
-0.03699232637882233,
-0.014769496396183968,
-0.08207488805055618,
-0.05087042599916458,
0.003914950415492058,
-0.046820018440485,
-0.027086468413472176,
-0.0058264038525521755,
0.08689655363559723,
0.030697166919708252,
-0.028927993029356003,
-0.03051280975341797,
-0.021023457869887352,
-0.046369753777980804,
0.07159023731946945,
0.08379518985748291,
0.007323375903069973,
0.057256460189819336,
-0.004472806584089994,
0.12417858839035034,
-0.12672282755374908,
0.02225513756275177,
0.06415677815675735,
0.008280736394226551,
-0.05344618856906891,
-0.03714994341135025,
-0.0754236951470375,
-0.07480547577142715,
-0.025845076888799667,
0.03897468000650406,
0.04082536697387695,
0.01704421453177929,
-0.025233864784240723,
-0.004413863178342581,
-0.04587147757411003,
-0.0010625835275277495,
0.050941549241542816,
-0.03231634572148323,
-0.09333173930644989,
-0.021610410884022713,
0.0015464163152500987,
-0.02728263847529888,
0.023034412413835526,
-0.00022943313524592668,
-0.002346592489629984,
0.021549316123127937,
0.027051405981183052,
0.09448526799678802,
-0.012169668450951576,
-0.09364044666290283,
0.05503291264176369,
-0.0711623802781105,
-0.0066166589967906475,
0.06540216505527496,
-0.02018064633011818,
-0.0015634812880307436,
0.012544562108814716,
-0.03006945550441742,
0.026041656732559204,
-0.02137036621570587,
0.03556659445166588,
0.06281520426273346,
-0.07826989889144897,
-0.000766168290283531,
0.015268510207533836,
-0.009140059351921082,
0.0006797582027502358,
-0.011221619322896004,
-0.042202338576316833,
-0.01890162006020546,
-0.02217419259250164,
-0.021111678332090378,
0.03171659633517265,
0.015254429541528225,
0.06545472890138626,
2.5875394910032904e-34,
0.06397498399019241,
-0.02247033268213272,
0.0684535801410675,
0.014392729848623276,
0.11093796789646149,
0.04065265506505966,
0.04419127106666565,
-0.1311783641576767,
0.020757032558321953,
0.05956342816352844,
-0.04439372941851616,
-0.045163270086050034,
0.05394665151834488,
-0.03263501077890396,
0.1438385397195816,
-0.013536527752876282,
0.05464719608426094,
0.0006805150769650936,
-0.019120557233691216,
-0.048532821238040924,
0.05347251147031784,
-0.032898809760808945,
-0.041468169540166855,
-0.023098157718777657,
7.890456288350833e-9,
-0.06110328063368797,
-0.016502512618899345,
-0.06807857751846313,
-0.0427885428071022,
0.055712126195430756,
-0.05059446394443512,
0.04897984489798546,
0.03424401581287384,
0.09942816197872162,
-0.01687943935394287,
-0.014444248750805855,
-0.047928586602211,
-0.04983927309513092,
-0.058215100318193436,
-0.09601134806871414,
0.030662929639220238,
0.01398626808077097,
0.01587861217558384,
-0.016654914245009422,
0.029704535380005836,
0.012442562729120255,
-0.010736198164522648,
0.03843042626976967,
-0.010240352712571621,
0.016760075464844704,
0.013837209902703762,
0.0503709614276886,
-0.05637851729989052,
-0.014284132979810238,
-0.014578375034034252,
0.004237046930938959,
-0.04883597418665886,
-0.011853093281388283,
0.06758516281843185,
0.15696385502815247,
0.01755831390619278,
-0.0037680480163544416,
-0.02521425671875477,
0.035713084042072296,
-0.038409218192100525,
0.03568514809012413,
0.06407680362462997,
-0.06124056503176689,
0.10607145726680756,
-0.04038500785827637,
-0.007207260467112064,
-0.029187699779868126,
-0.03908724710345268,
-0.07085906714200974,
-0.03296491503715515,
0.03218964487314224,
-0.03152797743678093,
-0.06657259166240692,
-0.04016663134098053,
0.03437623009085655,
0.0013418634189292789,
-0.10556532442569733,
-0.0013443450443446636,
-0.12408461421728134,
0.008645271882414818,
-0.058579735457897186,
0.08547504991292953,
-0.009386037476360798,
-0.04523348808288574,
-0.0072345552034676075,
-0.030043592676520348,
-0.04553467407822609,
0.005856482777744532,
0.0132059957832098,
0.054931044578552246,
-1.940966904857153e-33,
-0.07355979830026627,
-0.06451410800218582,
0.06493911147117615,
0.0032044160179793835,
-0.02485727332532406,
-0.07060510665178299,
-0.04644409567117691,
-0.013212825171649456,
-0.019591866061091423,
0.0008340159547515213,
-0.05720535293221474,
0.03893456235527992,
0.0061081391759216785,
-0.011357809416949749,
0.02740255370736122,
-0.030459018424153328,
0.05411534383893013,
0.015331321395933628,
0.02709924802184105,
-0.011620274744927883,
0.07130265980958939,
-0.02679281309247017,
-0.01612449809908867,
0.03725958988070488,
0.03549186885356903,
0.016671814024448395,
-0.0549580417573452,
-0.02514147199690342,
-0.046798232942819595,
0.04457855224609375,
-0.09445933997631073,
-0.07737807184457779,
-0.045131865888834,
0.04239402338862419,
0.01605643890798092,
-0.04280984774231911,
0.09328381717205048,
0.00017978018149733543,
-0.02747935988008976,
-0.014291099272668362,
0.0036633440759032965,
-0.013836503960192204,
0.029265718534588814,
-0.00926361046731472,
0.035644497722387314,
-0.007638059090822935,
-0.0727056935429573,
0.026534443721175194,
0.008068101480603218,
-0.03759181126952171,
-0.046211715787649155,
0.020242461934685707,
0.03886233642697334,
0.08748393505811691,
0.10481135547161102,
0.013682033866643906,
-0.07627981156110764,
0.1049218475818634,
-0.013141081668436527,
-0.09555687755346298,
-0.07211633026599884,
-0.018746647983789444,
-0.06360771507024765,
0.157929927110672,
0.0554836243391037,
-0.04652121290564537,
-0.003008915577083826,
-0.06458673626184464,
-0.012176441960036755,
0.03873524069786072,
0.02735680714249611,
0.02595479041337967,
-0.019357945770025253,
-0.004022177774459124,
-0.00949030090123415,
0.027740320190787315,
0.0721246600151062,
0.023248517885804176,
-0.06264100223779678,
0.034528959542512894,
-0.04753673076629639,
-0.018011370673775673,
0.04874882847070694,
-0.04243074357509613,
0.06021502986550331,
-0.018237603828310966,
0.07394865155220032,
-0.016925470903515816,
0.008075195364654064,
0.034046366810798645,
-0.00978172104805708,
0.04065203666687012,
0.08374389261007309,
-0.0028904667124152184,
0.005728301126509905,
-4.2973930192147236e-8,
0.011879638768732548,
-0.049550749361515045,
-0.04257398843765259,
-0.06021961569786072,
0.03540396690368652,
-0.056488268077373505,
0.04626525193452835,
0.13745835423469543,
-0.0751180499792099,
0.06786691397428513,
0.0768396258354187,
0.06792978942394257,
0.013277783058583736,
0.05953473225235939,
-0.04949277266860008,
0.03501628711819649,
-0.018123043701052666,
-0.0034996073227375746,
0.014265292324125767,
-0.005426687188446522,
-0.03779608756303787,
0.015171965584158897,
0.039848532527685165,
0.004396301694214344,
-0.08560095727443695,
-0.008888917975127697,
0.02926073782145977,
-0.09502281248569489,
-0.007652241736650467,
0.01872606948018074,
-0.04926501587033272,
0.008833233267068863,
0.02575732208788395,
-0.010876532644033432,
0.027157017961144447,
0.03040897101163864,
-0.06314681470394135,
-0.03595167025923729,
-0.004821626469492912,
-0.06333471834659576,
0.03216354548931122,
-0.010075563564896584,
0.14194223284721375,
-0.03170488029718399,
0.1747085601091385,
0.008386597037315369,
0.01667737029492855,
0.02320238947868347,
-0.027880817651748657,
-0.08240879327058792,
-0.05834381282329559,
-0.021285003051161766,
0.018500307574868202,
0.007671101484447718,
0.04196954518556595,
0.022254206240177155,
-0.041906774044036865,
-0.09317733347415924,
0.08499881625175476,
0.03381461650133133,
0.008030141703784466,
-0.0029110433533787727,
-0.02209557592868805,
-0.045113615691661835
] |
1401.1479 | Andrey Garnaev | Andrey Garnaev and Yezekael Hayel and Eitan Altman | Multilevel Pricing Schemes in a Deregulated Wireless Network Market | This is the last draft version of the paper. Revised version of the
paper accepted by ValueTools 2013 can be found in Proceedings of the 7th
International Conference on Performance Evaluation Methodologies and Tools
(ValueTools '13), December 10-12, 2013, Turin, Italy | null | null | null | cs.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Typically the cost of a product, a good or a service has many components.
Those components come from different complex steps in the supply chain of the
product from sourcing to distribution. This economic point of view also takes
place in the determination of goods and services in wireless networks. Indeed,
before transmitting customer data, a network operator has to lease some
frequency range from a spectrum owner and also has to establish agreements with
electricity suppliers. The goal of this paper is to compare two pricing
schemes, namely a power-based and a flat rate, and give a possible explanation
why flat rate pricing schemes are more common than power based pricing ones in
a deregulated wireless market. We suggest a hierarchical game-theoretical model
of a three level supply chain: the end users, the service provider and the
spectrum owner. The end users intend to transmit data on a wireless network.
The amount of traffic sent by the end users depends on the available frequency
bandwidth as well as the price they have to pay for their transmission. A
natural question arises for the service provider: how to design an efficient
pricing scheme in order to maximize his profit. Moreover he has to take into
account the lease charge he has to pay to the spectrum owner and how many
frequency bandwidth to rent. The spectrum owner itself also looks for
maximizing its profit and has to determine the lease price to the service
provider. The equilibrium at each level of our supply chain model are
established and several properties are investigated. In particular, in the case
of a power-based pricing scheme, the service provider and the spectrum owner
tend to share the gross provider profit. Whereas, considering the flat rate
pricing scheme, if the end users are going to exploit the network intensively,
then the tariffs of the suppliers (spectrum owner and service provider)
explode.
| [
{
"created": "Tue, 7 Jan 2014 19:08:01 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Garnaev",
"Andrey",
""
],
[
"Hayel",
"Yezekael",
""
],
[
"Altman",
"Eitan",
""
]
] | [
-0.040951378643512726,
0.04353362321853638,
-0.02372111566364765,
-0.0686526820063591,
-0.026594359427690506,
-0.013401946984231472,
0.04017709568142891,
0.08071085065603256,
0.06963735073804855,
0.05558304861187935,
-0.0542086586356163,
0.007864306680858135,
0.07265451550483704,
0.04783383011817932,
0.10696690529584885,
0.007078822236508131,
0.08288697153329849,
-0.0012165135703980923,
-0.02723674848675728,
-0.0647934228181839,
0.028245555236935616,
-0.01851583644747734,
0.019342638552188873,
-0.015709633007645607,
0.05823264271020889,
-0.039369650185108185,
0.04531024768948555,
0.01223535556346178,
-0.020044641569256783,
-0.017045950517058372,
-0.012135731987655163,
-0.060772158205509186,
0.05359755828976631,
0.006810998078435659,
0.006793051026761532,
-0.06902138143777847,
-0.02158299833536148,
-0.029954537749290466,
-0.011518938466906548,
0.14904269576072693,
0.012804682366549969,
-0.008012523874640465,
-0.12095674872398376,
0.07644427567720413,
-0.054604995995759964,
-0.055167194455862045,
0.012611567974090576,
0.09553676098585129,
-0.030398068949580193,
0.019663063809275627,
0.12127338349819183,
-0.007735941093415022,
-0.0630931630730629,
0.02998960204422474,
-0.00842554122209549,
-0.00467123556882143,
-0.0010513989254832268,
-0.035105835646390915,
0.048910852521657944,
0.03836287930607796,
-0.047760289162397385,
-0.06707091629505157,
-0.0860314816236496,
0.009276743046939373,
0.039448849856853485,
-0.051344480365514755,
0.027459299191832542,
0.019527887925505638,
-0.13910755515098572,
0.00009172803402179852,
-0.00735411886125803,
-0.054867539554834366,
-0.030467718839645386,
-0.04853391274809837,
0.031062543392181396,
-0.04172120988368988,
0.094739630818367,
0.028900153934955597,
-0.023706160485744476,
0.01072600856423378,
0.025280646979808807,
0.0319741889834404,
-0.0436030775308609,
-0.05280843377113342,
0.020719854161143303,
-0.10421478748321533,
0.0020580000709742308,
-0.017278721556067467,
0.0200585275888443,
-0.08387655019760132,
-0.035254254937171936,
0.10052161663770676,
-0.0007129592704586685,
0.02124638855457306,
0.0080329068005085,
0.08584622293710709,
-0.03133196011185646,
-0.0872688964009285,
0.017428750172257423,
0.04425748437643051,
0.006785294506698847,
-0.07726841419935226,
0.03046805039048195,
-0.004401225131005049,
0.005346373654901981,
-0.022293826565146446,
-0.06471259891986847,
0.07304361462593079,
-0.01991131342947483,
0.0626305341720581,
-0.04511706903576851,
-0.00680870097130537,
-0.034696292132139206,
-0.010526556521654129,
-0.021193116903305054,
0.07731454819440842,
0.001032467931509018,
0.03812500089406967,
0.02717013470828533,
-0.0013995824847370386,
0.01403858419507742,
-0.1042366698384285,
0.045287419110536575,
-0.005689721554517746,
0.012518203817307949,
0.033944834023714066,
0.030806714668869972,
3.376926742921666e-33,
-0.11945085972547531,
0.01611124910414219,
-0.06258600950241089,
-0.04447183012962341,
0.022869499400258064,
0.0027306517586112022,
0.04789207875728607,
0.051149435341358185,
-0.038763873279094696,
0.09336809813976288,
-0.038026198744773865,
0.06566035002470016,
-0.039128925651311874,
0.01573733612895012,
0.10132423043251038,
-0.049869902431964874,
-0.009330356493592262,
-0.022683467715978622,
0.11838709563016891,
-0.01411313284188509,
0.012814659625291824,
0.045000627636909485,
0.05877329036593437,
0.001186450943350792,
0.035791315138339996,
-0.0421328991651535,
-0.004421170335263014,
-0.07357777655124664,
0.071352519094944,
0.006397285033017397,
0.030677620321512222,
-0.01999795064330101,
0.049797214567661285,
-0.012874028645455837,
-0.06772393733263016,
0.039144378155469894,
0.01801726222038269,
-0.032470569014549255,
-0.0054608979262411594,
-0.03381166607141495,
-0.08313608169555664,
-0.004991727415472269,
-0.03799797594547272,
0.007375169079750776,
-0.06353510916233063,
-0.02660621516406536,
0.009250091388821602,
-0.09261193126440048,
-0.0878111869096756,
0.0052606952376663685,
-0.03892742469906807,
0.024296224117279053,
0.015778999775648117,
-0.02729768306016922,
0.029479779303073883,
-0.053551048040390015,
-0.008365904912352562,
-0.029403017833828926,
0.011149580590426922,
0.05773819237947464,
-0.05567564815282822,
-0.040031976997852325,
0.02383263222873211,
0.01708950847387314,
-0.03055814653635025,
-0.07410941272974014,
0.012490575201809406,
-0.04581782966852188,
0.000074272247729823,
0.004743225406855345,
0.053420133888721466,
0.054458774626255035,
0.010365711525082588,
-0.014216996729373932,
-0.029016299173235893,
-0.02185465767979622,
-0.017458012327551842,
0.06945183873176575,
-0.05772813409566879,
-0.0019444950157776475,
-0.06552116572856903,
0.012563793919980526,
0.0024055729154497385,
-0.009460792876780033,
-0.012697347439825535,
-0.05042461305856705,
0.009534458629786968,
-0.010642528533935547,
-0.04543343558907509,
0.02841285429894924,
-0.016350040212273598,
0.0997256487607956,
0.005036525893956423,
-0.02511497586965561,
0.17369793355464935,
-3.3896522039532866e-33,
0.03286394104361534,
0.07615016400814056,
-0.012135211378335953,
0.030835896730422974,
0.061623673886060715,
-0.06342187523841858,
-0.06977643072605133,
-0.021145274862647057,
-0.009797446429729462,
0.03180614486336708,
-0.11724385619163513,
0.07907537370920181,
-0.022075776010751724,
0.006147322244942188,
0.014804761856794357,
-0.09629712253808975,
-0.026691067963838577,
-0.036637064069509506,
-0.00150011305231601,
0.006887185852974653,
-0.008212333545088768,
0.07314231991767883,
-0.07976359128952026,
-0.026209821924567223,
0.036781396716833115,
0.009084966965019703,
-0.07777148485183716,
0.06107034161686897,
0.03497421741485596,
0.047375746071338654,
-0.08596043288707733,
-0.07305651158094406,
0.07314825057983398,
-0.119469054043293,
-0.001817486248910427,
0.07543054223060608,
0.045722804963588715,
0.14402587711811066,
-0.015903064981102943,
0.04024665802717209,
0.029815297573804855,
-0.06978198885917664,
0.02950950153172016,
-0.053401779383420944,
0.051047150045633316,
-0.05697106197476387,
0.008239769376814365,
-0.0368146114051342,
0.010172839276492596,
-0.04488252103328705,
0.04686412960290909,
0.07044899463653564,
0.0360322967171669,
0.02905917912721634,
-0.09632385522127151,
-0.008550501428544521,
0.015199814923107624,
0.04263490065932274,
0.044540148228406906,
-0.0017248020740225911,
0.07847923040390015,
0.04264408349990845,
-0.009176233783364296,
0.10314638912677765,
-0.0016492278082296252,
0.020728066563606262,
0.027516601607203484,
-0.08758293837308884,
0.007951484061777592,
-0.011937531642615795,
-0.1281842440366745,
-0.030856512486934662,
0.0157779511064291,
0.0006413892260752618,
-0.018094616010785103,
0.04859495535492897,
-0.015675244852900505,
0.05571378394961357,
0.013855582103133202,
0.02184891141951084,
-0.030292674899101257,
0.06574499607086182,
-0.05425247177481651,
-0.025000106543302536,
-0.0263512022793293,
-0.1535370945930481,
0.08736756443977356,
-0.06574250757694244,
-0.024945829063653946,
-0.06518624722957611,
-0.0029324388597160578,
-0.03210477530956268,
-0.01889198273420334,
0.019132623448967934,
-0.03575081750750542,
-5.231583699583098e-8,
-0.014318710193037987,
-0.054733920842409134,
0.04296857491135597,
0.020701594650745392,
0.004248159937560558,
-0.0350198857486248,
0.06794551014900208,
-0.03897806257009506,
-0.004696445073932409,
0.04518955200910568,
-0.015993133187294006,
0.040613219141960144,
-0.001734733348712325,
0.05284447595477104,
-0.0006147012463770807,
0.09124035388231277,
0.003599305171519518,
0.04809042811393738,
-0.010079668834805489,
0.048282790929079056,
-0.014492938295006752,
0.13543686270713806,
0.009960083290934563,
-0.017194008454680443,
0.020988643169403076,
0.11007837951183319,
0.026313597336411476,
-0.0012423025909811258,
0.10648708790540695,
0.08974549919366837,
0.02196340076625347,
0.029164057224988937,
0.03991880267858505,
0.029676491394639015,
-0.026432109996676445,
-0.023199385032057762,
-0.06977377086877823,
0.030902761965990067,
-0.017138998955488205,
0.02585812471807003,
-0.007167934440076351,
0.027809541672468185,
-0.04642725735902786,
-0.012850506231188774,
0.026189997792243958,
-0.048453439027071,
-0.11287956684827805,
0.027072327211499214,
0.06700549274682999,
0.0262406338006258,
-0.028597630560398102,
0.020544229075312614,
-0.02805119939148426,
-0.11166352033615112,
0.0029825211968272924,
-0.07676190137863159,
0.023061349987983704,
-0.05779866874217987,
-0.0632132962346077,
0.03815896809101105,
0.004472463391721249,
-0.056280553340911865,
-0.005026176106184721,
-0.018916288390755653
] | null | null | null | null | null | null | null | [
-0.040951378643512726,
0.04353362321853638,
-0.02372111566364765,
-0.0686526820063591,
-0.026594359427690506,
-0.013401946984231472,
0.04017709568142891,
0.08071085065603256,
0.06963735073804855,
0.05558304861187935,
-0.0542086586356163,
0.007864306680858135,
0.07265451550483704,
0.04783383011817932,
0.10696690529584885,
0.007078822236508131,
0.08288697153329849,
-0.0012165135703980923,
-0.02723674848675728,
-0.0647934228181839,
0.028245555236935616,
-0.01851583644747734,
0.019342638552188873,
-0.015709633007645607,
0.05823264271020889,
-0.039369650185108185,
0.04531024768948555,
0.01223535556346178,
-0.020044641569256783,
-0.017045950517058372,
-0.012135731987655163,
-0.060772158205509186,
0.05359755828976631,
0.006810998078435659,
0.006793051026761532,
-0.06902138143777847,
-0.02158299833536148,
-0.029954537749290466,
-0.011518938466906548,
0.14904269576072693,
0.012804682366549969,
-0.008012523874640465,
-0.12095674872398376,
0.07644427567720413,
-0.054604995995759964,
-0.055167194455862045,
0.012611567974090576,
0.09553676098585129,
-0.030398068949580193,
0.019663063809275627,
0.12127338349819183,
-0.007735941093415022,
-0.0630931630730629,
0.02998960204422474,
-0.00842554122209549,
-0.00467123556882143,
-0.0010513989254832268,
-0.035105835646390915,
0.048910852521657944,
0.03836287930607796,
-0.047760289162397385,
-0.06707091629505157,
-0.0860314816236496,
0.009276743046939373,
0.039448849856853485,
-0.051344480365514755,
0.027459299191832542,
0.019527887925505638,
-0.13910755515098572,
0.00009172803402179852,
-0.00735411886125803,
-0.054867539554834366,
-0.030467718839645386,
-0.04853391274809837,
0.031062543392181396,
-0.04172120988368988,
0.094739630818367,
0.028900153934955597,
-0.023706160485744476,
0.01072600856423378,
0.025280646979808807,
0.0319741889834404,
-0.0436030775308609,
-0.05280843377113342,
0.020719854161143303,
-0.10421478748321533,
0.0020580000709742308,
-0.017278721556067467,
0.0200585275888443,
-0.08387655019760132,
-0.035254254937171936,
0.10052161663770676,
-0.0007129592704586685,
0.02124638855457306,
0.0080329068005085,
0.08584622293710709,
-0.03133196011185646,
-0.0872688964009285,
0.017428750172257423,
0.04425748437643051,
0.006785294506698847,
-0.07726841419935226,
0.03046805039048195,
-0.004401225131005049,
0.005346373654901981,
-0.022293826565146446,
-0.06471259891986847,
0.07304361462593079,
-0.01991131342947483,
0.0626305341720581,
-0.04511706903576851,
-0.00680870097130537,
-0.034696292132139206,
-0.010526556521654129,
-0.021193116903305054,
0.07731454819440842,
0.001032467931509018,
0.03812500089406967,
0.02717013470828533,
-0.0013995824847370386,
0.01403858419507742,
-0.1042366698384285,
0.045287419110536575,
-0.005689721554517746,
0.012518203817307949,
0.033944834023714066,
0.030806714668869972,
3.376926742921666e-33,
-0.11945085972547531,
0.01611124910414219,
-0.06258600950241089,
-0.04447183012962341,
0.022869499400258064,
0.0027306517586112022,
0.04789207875728607,
0.051149435341358185,
-0.038763873279094696,
0.09336809813976288,
-0.038026198744773865,
0.06566035002470016,
-0.039128925651311874,
0.01573733612895012,
0.10132423043251038,
-0.049869902431964874,
-0.009330356493592262,
-0.022683467715978622,
0.11838709563016891,
-0.01411313284188509,
0.012814659625291824,
0.045000627636909485,
0.05877329036593437,
0.001186450943350792,
0.035791315138339996,
-0.0421328991651535,
-0.004421170335263014,
-0.07357777655124664,
0.071352519094944,
0.006397285033017397,
0.030677620321512222,
-0.01999795064330101,
0.049797214567661285,
-0.012874028645455837,
-0.06772393733263016,
0.039144378155469894,
0.01801726222038269,
-0.032470569014549255,
-0.0054608979262411594,
-0.03381166607141495,
-0.08313608169555664,
-0.004991727415472269,
-0.03799797594547272,
0.007375169079750776,
-0.06353510916233063,
-0.02660621516406536,
0.009250091388821602,
-0.09261193126440048,
-0.0878111869096756,
0.0052606952376663685,
-0.03892742469906807,
0.024296224117279053,
0.015778999775648117,
-0.02729768306016922,
0.029479779303073883,
-0.053551048040390015,
-0.008365904912352562,
-0.029403017833828926,
0.011149580590426922,
0.05773819237947464,
-0.05567564815282822,
-0.040031976997852325,
0.02383263222873211,
0.01708950847387314,
-0.03055814653635025,
-0.07410941272974014,
0.012490575201809406,
-0.04581782966852188,
0.000074272247729823,
0.004743225406855345,
0.053420133888721466,
0.054458774626255035,
0.010365711525082588,
-0.014216996729373932,
-0.029016299173235893,
-0.02185465767979622,
-0.017458012327551842,
0.06945183873176575,
-0.05772813409566879,
-0.0019444950157776475,
-0.06552116572856903,
0.012563793919980526,
0.0024055729154497385,
-0.009460792876780033,
-0.012697347439825535,
-0.05042461305856705,
0.009534458629786968,
-0.010642528533935547,
-0.04543343558907509,
0.02841285429894924,
-0.016350040212273598,
0.0997256487607956,
0.005036525893956423,
-0.02511497586965561,
0.17369793355464935,
-3.3896522039532866e-33,
0.03286394104361534,
0.07615016400814056,
-0.012135211378335953,
0.030835896730422974,
0.061623673886060715,
-0.06342187523841858,
-0.06977643072605133,
-0.021145274862647057,
-0.009797446429729462,
0.03180614486336708,
-0.11724385619163513,
0.07907537370920181,
-0.022075776010751724,
0.006147322244942188,
0.014804761856794357,
-0.09629712253808975,
-0.026691067963838577,
-0.036637064069509506,
-0.00150011305231601,
0.006887185852974653,
-0.008212333545088768,
0.07314231991767883,
-0.07976359128952026,
-0.026209821924567223,
0.036781396716833115,
0.009084966965019703,
-0.07777148485183716,
0.06107034161686897,
0.03497421741485596,
0.047375746071338654,
-0.08596043288707733,
-0.07305651158094406,
0.07314825057983398,
-0.119469054043293,
-0.001817486248910427,
0.07543054223060608,
0.045722804963588715,
0.14402587711811066,
-0.015903064981102943,
0.04024665802717209,
0.029815297573804855,
-0.06978198885917664,
0.02950950153172016,
-0.053401779383420944,
0.051047150045633316,
-0.05697106197476387,
0.008239769376814365,
-0.0368146114051342,
0.010172839276492596,
-0.04488252103328705,
0.04686412960290909,
0.07044899463653564,
0.0360322967171669,
0.02905917912721634,
-0.09632385522127151,
-0.008550501428544521,
0.015199814923107624,
0.04263490065932274,
0.044540148228406906,
-0.0017248020740225911,
0.07847923040390015,
0.04264408349990845,
-0.009176233783364296,
0.10314638912677765,
-0.0016492278082296252,
0.020728066563606262,
0.027516601607203484,
-0.08758293837308884,
0.007951484061777592,
-0.011937531642615795,
-0.1281842440366745,
-0.030856512486934662,
0.0157779511064291,
0.0006413892260752618,
-0.018094616010785103,
0.04859495535492897,
-0.015675244852900505,
0.05571378394961357,
0.013855582103133202,
0.02184891141951084,
-0.030292674899101257,
0.06574499607086182,
-0.05425247177481651,
-0.025000106543302536,
-0.0263512022793293,
-0.1535370945930481,
0.08736756443977356,
-0.06574250757694244,
-0.024945829063653946,
-0.06518624722957611,
-0.0029324388597160578,
-0.03210477530956268,
-0.01889198273420334,
0.019132623448967934,
-0.03575081750750542,
-5.231583699583098e-8,
-0.014318710193037987,
-0.054733920842409134,
0.04296857491135597,
0.020701594650745392,
0.004248159937560558,
-0.0350198857486248,
0.06794551014900208,
-0.03897806257009506,
-0.004696445073932409,
0.04518955200910568,
-0.015993133187294006,
0.040613219141960144,
-0.001734733348712325,
0.05284447595477104,
-0.0006147012463770807,
0.09124035388231277,
0.003599305171519518,
0.04809042811393738,
-0.010079668834805489,
0.048282790929079056,
-0.014492938295006752,
0.13543686270713806,
0.009960083290934563,
-0.017194008454680443,
0.020988643169403076,
0.11007837951183319,
0.026313597336411476,
-0.0012423025909811258,
0.10648708790540695,
0.08974549919366837,
0.02196340076625347,
0.029164057224988937,
0.03991880267858505,
0.029676491394639015,
-0.026432109996676445,
-0.023199385032057762,
-0.06977377086877823,
0.030902761965990067,
-0.017138998955488205,
0.02585812471807003,
-0.007167934440076351,
0.027809541672468185,
-0.04642725735902786,
-0.012850506231188774,
0.026189997792243958,
-0.048453439027071,
-0.11287956684827805,
0.027072327211499214,
0.06700549274682999,
0.0262406338006258,
-0.028597630560398102,
0.020544229075312614,
-0.02805119939148426,
-0.11166352033615112,
0.0029825211968272924,
-0.07676190137863159,
0.023061349987983704,
-0.05779866874217987,
-0.0632132962346077,
0.03815896809101105,
0.004472463391721249,
-0.056280553340911865,
-0.005026176106184721,
-0.018916288390755653
] |
1401.1480 | Yair Carmon | Yair Carmon and Shlomo Shamai | Lower Bounds and Approximations for the Information Rate of the ISI
Channel | 21 pages, 4 figures | null | null | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the discrete-time intersymbol interference (ISI) channel model,
with additive Gaussian noise and fixed i.i.d. inputs. In this setting, we
investigate the expression put forth by Shamai and Laroia as a conjectured
lower bound for the input-output mutual information after application of a
MMSE-DFE receiver. A low-SNR expansion is used to prove that the conjectured
bound does not hold under general conditions, and to characterize inputs for
which it is particularly ill-suited. One such input is used to construct a
counterexample, indicating that the Shamai-Laroia expression does not always
bound even the achievable rate of the channel, thus excluding a natural
relaxation of the original conjectured bound. However, this relaxed bound is
then shown to hold for any finite entropy input and ISI channel, when the SNR
is sufficiently high. Finally, new simple bounds for the achievable rate are
proven, and compared to other known bounds. Information-Estimation relations
and estimation-theoretic bounds play a key role in establishing our results.
| [
{
"created": "Tue, 7 Jan 2014 19:15:17 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Carmon",
"Yair",
""
],
[
"Shamai",
"Shlomo",
""
]
] | [
-0.01216674130409956,
-0.020667212083935738,
0.034428976476192474,
-0.011686302721500397,
0.033079419285058975,
-0.012551684863865376,
0.07773035764694214,
-0.020994044840335846,
0.06458848714828491,
0.008999790996313095,
-0.08391841500997543,
0.0953703224658966,
0.07147528976202011,
-0.05403434485197067,
-0.05338780954480171,
0.000299870443996042,
0.0923239067196846,
0.01757790334522724,
-0.09561116248369217,
-0.004562515765428543,
0.14885254204273224,
0.0036936395335942507,
-0.026943141594529152,
-0.01171767059713602,
0.030110768973827362,
-0.08317987620830536,
0.08261014521121979,
-0.012056437321007252,
-0.005575236398726702,
-0.0004905604291707277,
-0.048725251108407974,
0.0015909132780507207,
0.017911328002810478,
-0.07374996691942215,
-0.03426428511738777,
-0.0062499875202775,
0.056137703359127045,
0.01095212809741497,
0.07930110394954681,
0.04470813274383545,
-0.005270251072943211,
0.012631187215447426,
-0.009765509516000748,
0.019350793212652206,
-0.03762645646929741,
0.01753382757306099,
0.026435332372784615,
-0.005529661197215319,
-0.07894457876682281,
-0.04001881554722786,
-0.018153732642531395,
0.05920930206775665,
-0.014063738286495209,
0.01743444800376892,
-0.006663144566118717,
-0.07141054421663284,
-0.03817029297351837,
0.0367577038705349,
-0.02350209280848503,
0.12090226262807846,
-0.019569817930459976,
0.02889251708984375,
0.004846726078540087,
0.010903513990342617,
0.023012636229395866,
0.01358223520219326,
0.0367402657866478,
0.1213664785027504,
-0.06787169724702835,
0.01350721437484026,
-0.05688878521323204,
-0.013269257731735706,
-0.07841278612613678,
0.0046004983596503735,
0.0829303115606308,
-0.014330747537314892,
0.04021458700299263,
0.06176545098423958,
0.0654163509607315,
-0.009803821332752705,
-0.015523652546107769,
-0.018854456022381783,
0.03730972856283188,
-0.11124593019485474,
0.06348712742328644,
-0.043750014156103134,
-0.060325585305690765,
0.06993225961923599,
0.09990163892507553,
0.001229131710715592,
-0.10656742751598358,
-0.10226820409297943,
-0.08957195281982422,
0.06615105271339417,
0.0727120190858841,
-0.05068979784846306,
-0.011332388035953045,
-0.0002908673195634037,
-0.012738860212266445,
0.06125662475824356,
-0.025876643136143684,
-0.009838861413300037,
-0.026495302096009254,
-0.03719407692551613,
0.003806373802945018,
0.01439393125474453,
0.06361687183380127,
0.014114025048911572,
-0.007304484955966473,
0.02870010770857334,
-0.008926349692046642,
0.02770906314253807,
0.00567652890458703,
0.05251310020685196,
0.004643153864890337,
0.07986799627542496,
0.08265376091003418,
0.08665940165519714,
0.01616242527961731,
-0.11755860596895218,
-0.012649660930037498,
-0.07366865873336792,
0.02182859554886818,
0.038686107844114304,
-0.025964071974158287,
0.05359208956360817,
-0.06724102795124054,
1.1808728803257726e-33,
-0.02136027067899704,
0.03793703019618988,
-0.012873569503426552,
0.041624974459409714,
-0.06116650998592377,
0.05409519746899605,
-0.06575555354356766,
-0.061949677765369415,
0.014223718084394932,
0.13493451476097107,
-0.08517015725374222,
0.0037831978406757116,
-0.003696894971653819,
-0.08395059406757355,
0.03963794931769371,
0.1005585715174675,
-0.04101026430726051,
-0.003193109529092908,
0.05149590224027634,
-0.02651219628751278,
0.06027635931968689,
-0.055856090039014816,
-0.0754045620560646,
0.015325360931456089,
0.060097187757492065,
-0.0461665615439415,
-0.0057023633271455765,
-0.07239773869514465,
0.0740339607000351,
0.014937818050384521,
-0.06971003115177155,
-0.03339051455259323,
0.07333134114742279,
-0.04207746312022209,
-0.008188777603209019,
-0.06884481012821198,
-0.016289323568344116,
-0.04120306298136711,
-0.06347038596868515,
-0.027170879766345024,
0.02117481827735901,
-0.004627309273928404,
0.05766962468624115,
-0.054201889783144,
-0.03982513025403023,
-0.09583790600299835,
0.01027331966906786,
-0.02440543845295906,
-0.04307453706860542,
-0.06432890892028809,
-0.006102474872022867,
0.006176361348479986,
-0.05518257990479469,
0.02285265177488327,
0.02672376111149788,
-0.027620786800980568,
0.005959338042885065,
0.040629781782627106,
0.07431788742542267,
0.1453753113746643,
-0.049710892140865326,
0.014733081683516502,
0.09339699149131775,
-0.026404423639178276,
0.07306519150733948,
0.12190411239862442,
-0.05147349461913109,
-0.008062772452831268,
0.053577423095703125,
-0.1145496591925621,
-0.01941477321088314,
-0.028411956503987312,
0.008530747145414352,
-0.07010891288518906,
0.061344537883996964,
-0.05264933779835701,
0.018711062148213387,
-0.09550762176513672,
0.027002019807696342,
0.08000557869672775,
0.01619502156972885,
-0.05514499917626381,
-0.005083383526653051,
0.026128895580768585,
-0.027866337448358536,
0.01775604672729969,
-0.09632948040962219,
0.025086600333452225,
-0.08675158023834229,
-0.05420684814453125,
-0.049080755561590195,
0.07803375273942947,
0.009136605076491833,
0.014984922483563423,
-0.009936261922121048,
-2.256957786115431e-33,
-0.033556677401065826,
0.0018555999267846346,
0.04814261943101883,
-0.012205907143652439,
0.005697742570191622,
-0.06975886970758438,
0.014252726919949055,
0.006480238400399685,
0.049788035452365875,
-0.04731777682900429,
-0.010104057379066944,
-0.02646501734852791,
-0.005982841365039349,
0.025304866954684258,
-0.014746317639946938,
0.06912422180175781,
-0.0002044981811195612,
0.05859876051545143,
0.08397869020700455,
-0.0071128238923847675,
0.07117495685815811,
0.000306298112263903,
0.0695287361741066,
0.008005808107554913,
0.020455749705433846,
0.042880963534116745,
-0.05515110120177269,
0.13229085505008698,
-0.020493097603321075,
0.04119411110877991,
0.029712019488215446,
-0.0797090008854866,
-0.04498909041285515,
-0.05776278302073479,
0.009762842208147049,
-0.0385427363216877,
-0.012290111742913723,
0.04796038940548897,
-0.02264498360455036,
0.08371936529874802,
0.08067944645881653,
0.01530903298407793,
0.009113574400544167,
0.03515702858567238,
0.041423249989748,
-0.07600394636392593,
-0.0564386211335659,
0.027255283668637276,
0.027273360639810562,
-0.03803717717528343,
0.04447847232222557,
0.002751133870333433,
-0.015528007410466671,
0.033227868378162384,
-0.024666577577590942,
0.003916208166629076,
0.02645859122276306,
0.09243622422218323,
0.03890102356672287,
0.06320219486951828,
0.014134734869003296,
-0.010163834318518639,
-0.08342668414115906,
-0.01686730608344078,
0.042287785559892654,
0.054455071687698364,
0.004023611079901457,
-0.02358655259013176,
0.05941924452781677,
0.04074612259864807,
0.03861641883850098,
-0.03572406247258186,
-0.0946560651063919,
0.07701379060745239,
0.02424793876707554,
0.10285898298025131,
0.06295152008533478,
-0.0586179718375206,
-0.003165676724165678,
0.05914616212248802,
-0.05751871317625046,
0.09153378754854202,
-0.009487491101026535,
-0.024187298491597176,
0.007681354880332947,
0.009424393065273762,
0.055570363998413086,
-0.021577803418040276,
0.027182843536138535,
-0.11730236560106277,
-0.014509642496705055,
0.07312161475419998,
-0.03213299438357353,
-0.014294569380581379,
-0.05051267892122269,
-5.3317148029918826e-8,
0.029436858370900154,
-0.07239225506782532,
-0.03265779837965965,
-0.04916705936193466,
0.06582889705896378,
-0.035615790635347366,
-0.017793456092476845,
-0.044316455721855164,
0.017219318076968193,
-0.032696086913347244,
0.04035148769617081,
0.05090255290269852,
-0.0432189479470253,
0.011981787160038948,
0.029729537665843964,
-0.048141974955797195,
-0.041928086429834366,
-0.06325214356184006,
-0.011985008604824543,
-0.03322514519095421,
0.09596394747495651,
-0.051164790987968445,
0.018815288320183754,
-0.018539998680353165,
0.012965694069862366,
-0.08093034476041794,
-0.004348553251475096,
-0.042924221605062485,
-0.0314045250415802,
-0.014510443434119225,
-0.02652933821082115,
0.023074408993124962,
0.007236576173454523,
0.0352604016661644,
-0.09335897117853165,
0.0039975568652153015,
-0.012397417798638344,
-0.005079905968159437,
-0.024564960971474648,
-0.010672841221094131,
-0.045498643070459366,
-0.004670688882470131,
0.02039208821952343,
-0.0048975516110658646,
0.040254708379507065,
0.06677302718162537,
0.08134213089942932,
-0.016840875148773193,
-0.02879267930984497,
-0.03977331891655922,
-0.008004164323210716,
0.06458306312561035,
0.06440097838640213,
-0.045535799115896225,
0.02464420162141323,
-0.05513635277748108,
0.00023442851670552045,
-0.016223030164837837,
0.05084630846977234,
-0.04372618347406387,
-0.05963233858346939,
0.033866219222545624,
-0.11318400502204895,
-0.034030064940452576
] | null | null | null | null | null | null | null | [
-0.01216674130409956,
-0.020667212083935738,
0.034428976476192474,
-0.011686302721500397,
0.033079419285058975,
-0.012551684863865376,
0.07773035764694214,
-0.020994044840335846,
0.06458848714828491,
0.008999790996313095,
-0.08391841500997543,
0.0953703224658966,
0.07147528976202011,
-0.05403434485197067,
-0.05338780954480171,
0.000299870443996042,
0.0923239067196846,
0.01757790334522724,
-0.09561116248369217,
-0.004562515765428543,
0.14885254204273224,
0.0036936395335942507,
-0.026943141594529152,
-0.01171767059713602,
0.030110768973827362,
-0.08317987620830536,
0.08261014521121979,
-0.012056437321007252,
-0.005575236398726702,
-0.0004905604291707277,
-0.048725251108407974,
0.0015909132780507207,
0.017911328002810478,
-0.07374996691942215,
-0.03426428511738777,
-0.0062499875202775,
0.056137703359127045,
0.01095212809741497,
0.07930110394954681,
0.04470813274383545,
-0.005270251072943211,
0.012631187215447426,
-0.009765509516000748,
0.019350793212652206,
-0.03762645646929741,
0.01753382757306099,
0.026435332372784615,
-0.005529661197215319,
-0.07894457876682281,
-0.04001881554722786,
-0.018153732642531395,
0.05920930206775665,
-0.014063738286495209,
0.01743444800376892,
-0.006663144566118717,
-0.07141054421663284,
-0.03817029297351837,
0.0367577038705349,
-0.02350209280848503,
0.12090226262807846,
-0.019569817930459976,
0.02889251708984375,
0.004846726078540087,
0.010903513990342617,
0.023012636229395866,
0.01358223520219326,
0.0367402657866478,
0.1213664785027504,
-0.06787169724702835,
0.01350721437484026,
-0.05688878521323204,
-0.013269257731735706,
-0.07841278612613678,
0.0046004983596503735,
0.0829303115606308,
-0.014330747537314892,
0.04021458700299263,
0.06176545098423958,
0.0654163509607315,
-0.009803821332752705,
-0.015523652546107769,
-0.018854456022381783,
0.03730972856283188,
-0.11124593019485474,
0.06348712742328644,
-0.043750014156103134,
-0.060325585305690765,
0.06993225961923599,
0.09990163892507553,
0.001229131710715592,
-0.10656742751598358,
-0.10226820409297943,
-0.08957195281982422,
0.06615105271339417,
0.0727120190858841,
-0.05068979784846306,
-0.011332388035953045,
-0.0002908673195634037,
-0.012738860212266445,
0.06125662475824356,
-0.025876643136143684,
-0.009838861413300037,
-0.026495302096009254,
-0.03719407692551613,
0.003806373802945018,
0.01439393125474453,
0.06361687183380127,
0.014114025048911572,
-0.007304484955966473,
0.02870010770857334,
-0.008926349692046642,
0.02770906314253807,
0.00567652890458703,
0.05251310020685196,
0.004643153864890337,
0.07986799627542496,
0.08265376091003418,
0.08665940165519714,
0.01616242527961731,
-0.11755860596895218,
-0.012649660930037498,
-0.07366865873336792,
0.02182859554886818,
0.038686107844114304,
-0.025964071974158287,
0.05359208956360817,
-0.06724102795124054,
1.1808728803257726e-33,
-0.02136027067899704,
0.03793703019618988,
-0.012873569503426552,
0.041624974459409714,
-0.06116650998592377,
0.05409519746899605,
-0.06575555354356766,
-0.061949677765369415,
0.014223718084394932,
0.13493451476097107,
-0.08517015725374222,
0.0037831978406757116,
-0.003696894971653819,
-0.08395059406757355,
0.03963794931769371,
0.1005585715174675,
-0.04101026430726051,
-0.003193109529092908,
0.05149590224027634,
-0.02651219628751278,
0.06027635931968689,
-0.055856090039014816,
-0.0754045620560646,
0.015325360931456089,
0.060097187757492065,
-0.0461665615439415,
-0.0057023633271455765,
-0.07239773869514465,
0.0740339607000351,
0.014937818050384521,
-0.06971003115177155,
-0.03339051455259323,
0.07333134114742279,
-0.04207746312022209,
-0.008188777603209019,
-0.06884481012821198,
-0.016289323568344116,
-0.04120306298136711,
-0.06347038596868515,
-0.027170879766345024,
0.02117481827735901,
-0.004627309273928404,
0.05766962468624115,
-0.054201889783144,
-0.03982513025403023,
-0.09583790600299835,
0.01027331966906786,
-0.02440543845295906,
-0.04307453706860542,
-0.06432890892028809,
-0.006102474872022867,
0.006176361348479986,
-0.05518257990479469,
0.02285265177488327,
0.02672376111149788,
-0.027620786800980568,
0.005959338042885065,
0.040629781782627106,
0.07431788742542267,
0.1453753113746643,
-0.049710892140865326,
0.014733081683516502,
0.09339699149131775,
-0.026404423639178276,
0.07306519150733948,
0.12190411239862442,
-0.05147349461913109,
-0.008062772452831268,
0.053577423095703125,
-0.1145496591925621,
-0.01941477321088314,
-0.028411956503987312,
0.008530747145414352,
-0.07010891288518906,
0.061344537883996964,
-0.05264933779835701,
0.018711062148213387,
-0.09550762176513672,
0.027002019807696342,
0.08000557869672775,
0.01619502156972885,
-0.05514499917626381,
-0.005083383526653051,
0.026128895580768585,
-0.027866337448358536,
0.01775604672729969,
-0.09632948040962219,
0.025086600333452225,
-0.08675158023834229,
-0.05420684814453125,
-0.049080755561590195,
0.07803375273942947,
0.009136605076491833,
0.014984922483563423,
-0.009936261922121048,
-2.256957786115431e-33,
-0.033556677401065826,
0.0018555999267846346,
0.04814261943101883,
-0.012205907143652439,
0.005697742570191622,
-0.06975886970758438,
0.014252726919949055,
0.006480238400399685,
0.049788035452365875,
-0.04731777682900429,
-0.010104057379066944,
-0.02646501734852791,
-0.005982841365039349,
0.025304866954684258,
-0.014746317639946938,
0.06912422180175781,
-0.0002044981811195612,
0.05859876051545143,
0.08397869020700455,
-0.0071128238923847675,
0.07117495685815811,
0.000306298112263903,
0.0695287361741066,
0.008005808107554913,
0.020455749705433846,
0.042880963534116745,
-0.05515110120177269,
0.13229085505008698,
-0.020493097603321075,
0.04119411110877991,
0.029712019488215446,
-0.0797090008854866,
-0.04498909041285515,
-0.05776278302073479,
0.009762842208147049,
-0.0385427363216877,
-0.012290111742913723,
0.04796038940548897,
-0.02264498360455036,
0.08371936529874802,
0.08067944645881653,
0.01530903298407793,
0.009113574400544167,
0.03515702858567238,
0.041423249989748,
-0.07600394636392593,
-0.0564386211335659,
0.027255283668637276,
0.027273360639810562,
-0.03803717717528343,
0.04447847232222557,
0.002751133870333433,
-0.015528007410466671,
0.033227868378162384,
-0.024666577577590942,
0.003916208166629076,
0.02645859122276306,
0.09243622422218323,
0.03890102356672287,
0.06320219486951828,
0.014134734869003296,
-0.010163834318518639,
-0.08342668414115906,
-0.01686730608344078,
0.042287785559892654,
0.054455071687698364,
0.004023611079901457,
-0.02358655259013176,
0.05941924452781677,
0.04074612259864807,
0.03861641883850098,
-0.03572406247258186,
-0.0946560651063919,
0.07701379060745239,
0.02424793876707554,
0.10285898298025131,
0.06295152008533478,
-0.0586179718375206,
-0.003165676724165678,
0.05914616212248802,
-0.05751871317625046,
0.09153378754854202,
-0.009487491101026535,
-0.024187298491597176,
0.007681354880332947,
0.009424393065273762,
0.055570363998413086,
-0.021577803418040276,
0.027182843536138535,
-0.11730236560106277,
-0.014509642496705055,
0.07312161475419998,
-0.03213299438357353,
-0.014294569380581379,
-0.05051267892122269,
-5.3317148029918826e-8,
0.029436858370900154,
-0.07239225506782532,
-0.03265779837965965,
-0.04916705936193466,
0.06582889705896378,
-0.035615790635347366,
-0.017793456092476845,
-0.044316455721855164,
0.017219318076968193,
-0.032696086913347244,
0.04035148769617081,
0.05090255290269852,
-0.0432189479470253,
0.011981787160038948,
0.029729537665843964,
-0.048141974955797195,
-0.041928086429834366,
-0.06325214356184006,
-0.011985008604824543,
-0.03322514519095421,
0.09596394747495651,
-0.051164790987968445,
0.018815288320183754,
-0.018539998680353165,
0.012965694069862366,
-0.08093034476041794,
-0.004348553251475096,
-0.042924221605062485,
-0.0314045250415802,
-0.014510443434119225,
-0.02652933821082115,
0.023074408993124962,
0.007236576173454523,
0.0352604016661644,
-0.09335897117853165,
0.0039975568652153015,
-0.012397417798638344,
-0.005079905968159437,
-0.024564960971474648,
-0.010672841221094131,
-0.045498643070459366,
-0.004670688882470131,
0.02039208821952343,
-0.0048975516110658646,
0.040254708379507065,
0.06677302718162537,
0.08134213089942932,
-0.016840875148773193,
-0.02879267930984497,
-0.03977331891655922,
-0.008004164323210716,
0.06458306312561035,
0.06440097838640213,
-0.045535799115896225,
0.02464420162141323,
-0.05513635277748108,
0.00023442851670552045,
-0.016223030164837837,
0.05084630846977234,
-0.04372618347406387,
-0.05963233858346939,
0.033866219222545624,
-0.11318400502204895,
-0.034030064940452576
] |
1401.1486 | Zeeshan Bhatti | Imdad Ali Ismaili, Zeeshan Bhatti, Azhar Ali Shah | Design & Development of the Graphical User Interface for Sindhi Language | null | Mehran University Research Journal of Engineering & Technology,
Volume 30, No. 4, October 2011 [ISSN 0254-7821] | null | null | cs.HC cs.CL | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper describes the design and implementation of a Unicode-based GUISL
(Graphical User Interface for Sindhi Language). The idea is to provide a
software platform to the people of Sindh as well as Sindhi diasporas living
across the globe to make use of computing for basic tasks such as editing,
composition, formatting, and printing of documents in Sindhi by using GUISL.
The implementation of the GUISL has been done in the Java technology to make
the system platform independent. The paper describes several design issues of
Sindhi GUI in the context of existing software tools and technologies and
explains how mapping and concatenation techniques have been employed to achieve
the cursive shape of Sindhi script.
| [
{
"created": "Tue, 7 Jan 2014 20:07:51 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Ismaili",
"Imdad Ali",
""
],
[
"Bhatti",
"Zeeshan",
""
],
[
"Shah",
"Azhar Ali",
""
]
] | [
-0.055192939937114716,
0.05085347965359688,
-0.08672186732292175,
-0.055004436522722244,
-0.1281178742647171,
-0.05413581803441048,
-0.007362818345427513,
0.02906181663274765,
-0.00025069480761885643,
-0.042900409549474716,
0.011419196613132954,
-0.018223674967885017,
0.15776173770427704,
-0.0013751194346696138,
0.012890525162220001,
-0.07365648448467255,
-0.05319167673587799,
0.035799503326416016,
0.010177637450397015,
-0.09388970583677292,
-0.04331012815237045,
-0.06388932466506958,
-0.015569526702165604,
-0.030340805649757385,
0.00815911777317524,
0.10484634339809418,
0.006208241917192936,
-0.021762672811746597,
0.032618358731269836,
0.025677798315882683,
-0.005354854743927717,
-0.00666383933275938,
0.019315572455525398,
0.04400559142231941,
-0.049548301845788956,
0.11007604002952576,
-0.008344709873199463,
-0.023998985067009926,
-0.012364611029624939,
-0.029618022963404655,
-0.06954456120729446,
-0.001534763490781188,
-0.009040307253599167,
0.04253255948424339,
0.07976902276277542,
-0.04611688852310181,
-0.12145870178937912,
0.03129446879029274,
-0.008165216073393822,
0.006350426934659481,
-0.10480298846960068,
-0.0012029941426590085,
0.03500447794795036,
-0.05872295796871185,
0.000034974145819433033,
-0.012612972408533096,
0.007156630512326956,
-0.05985606834292412,
-0.032247044146060944,
-0.0472375862300396,
-0.048510532826185226,
0.10407057404518127,
0.03171369805932045,
0.06300966441631317,
-0.009227568283677101,
0.05494140461087227,
-0.029396362602710724,
0.012590457685291767,
0.04993675276637077,
-0.07833071053028107,
-0.11419705301523209,
-0.009441427886486053,
-0.03690164163708687,
0.04157934710383415,
-0.13465440273284912,
-0.04085332527756691,
-0.09460018575191498,
-0.034601300954818726,
-0.053819265216588974,
-0.021990608423948288,
-0.003144265851005912,
0.010311612859368324,
-0.032708730548620224,
0.06628648191690445,
0.04853856563568115,
0.058458711951971054,
0.0102448845282197,
0.013671289198100567,
-0.005878273397684097,
0.08655854314565659,
0.1134401261806488,
-0.005917425733059645,
0.1271989345550537,
0.006044834852218628,
-0.05732713267207146,
-0.05566458776593208,
0.05013098940253258,
-0.01397545263171196,
-0.060410745441913605,
0.053703147917985916,
-0.039986371994018555,
-0.05156824737787247,
0.05327996611595154,
-0.04137079417705536,
-0.07009651511907578,
-0.04506966471672058,
-0.009798003360629082,
-0.07302574068307877,
0.022208476439118385,
-0.04897661507129669,
-0.0330120287835598,
-0.0669703334569931,
-0.11061039566993713,
-0.08998211473226547,
-0.004012219607830048,
0.046213336288928986,
-0.026806151494383812,
-0.012155949138104916,
0.004521809983998537,
-0.015226048417389393,
-0.03296000510454178,
0.02207675762474537,
-0.12674106657505035,
-0.001436383929103613,
0.008429541252553463,
-0.040335528552532196,
0.00048488983884453773,
1.5328168991524232e-33,
0.039712682366371155,
0.027880432084202766,
-0.024654850363731384,
0.0648622065782547,
0.013411926105618477,
-0.013509683310985565,
-0.08050776273012161,
-0.03120584227144718,
-0.061493828892707825,
-0.034847673028707504,
0.07895775139331818,
0.0901421457529068,
-0.03725737705826759,
0.04705315828323364,
0.12609818577766418,
-0.051795054227113724,
0.053739044815301895,
0.04135202243924141,
0.019876059144735336,
-0.05103753134608269,
-0.00258804252371192,
0.050622906535863876,
0.07539986819028854,
0.01328392792493105,
-0.0004738016286864877,
0.10670606791973114,
0.017608022317290306,
-0.012046475894749165,
0.010215459391474724,
0.01498963963240385,
-0.01425586361438036,
-0.04635310173034668,
-0.08839304745197296,
-0.04282839968800545,
-0.05998663231730461,
-0.0794837474822998,
0.005539535544812679,
-0.07832521200180054,
0.04409266635775566,
0.12611690163612366,
-0.10873162746429443,
-0.046783652156591415,
0.08618080615997314,
-0.03131508082151413,
0.020411528646945953,
0.02518964558839798,
0.05806538462638855,
0.049300339072942734,
0.046835947781801224,
-0.04033675789833069,
0.0066383578814566135,
0.08523429185152054,
0.03795202448964119,
0.08554597944021225,
0.05372360721230507,
-0.03164076432585716,
0.03349623829126358,
0.0016668587923049927,
-0.006206029560416937,
0.04674439877271652,
0.025270657613873482,
0.007644180208444595,
-0.025274040177464485,
0.01627475395798683,
0.007601776625961065,
-0.03586403280496597,
0.03756668046116829,
-0.005652381107211113,
0.026131227612495422,
0.04646741971373558,
-0.045051299035549164,
0.03386204317212105,
0.07004861533641815,
0.1221204400062561,
-0.041269585490226746,
0.005345514975488186,
-0.004533919505774975,
-0.03347739949822426,
-0.01423376239836216,
0.027011608704924583,
-0.09058372676372528,
0.033320918679237366,
0.036080699414014816,
0.004384222440421581,
0.06878145784139633,
0.04455230385065079,
0.07530614733695984,
0.03571109473705292,
0.0029563242569565773,
-0.0019626731518656015,
0.024954374879598618,
0.0439927764236927,
0.012867753393948078,
0.020829828456044197,
0.07425196468830109,
-2.503271974412687e-33,
-0.014966994524002075,
-0.06654921919107437,
-0.05063105747103691,
-0.014004163444042206,
-0.08116526901721954,
-0.07065550237894058,
0.0297959353774786,
0.04338150843977928,
0.008269897662103176,
-0.005943654105067253,
-0.014302590861916542,
0.0041627902537584305,
0.061420220881700516,
-0.0126772690564394,
0.028251269832253456,
0.009788739494979382,
-0.005510589573532343,
0.09119782596826553,
-0.06860411912202835,
-0.054917026311159134,
-0.023446371778845787,
0.005889431107789278,
-0.012210383079946041,
-0.03443019464612007,
0.033097319304943085,
-0.010371283628046513,
-0.0014937862288206816,
-0.054871007800102234,
-0.035147953778505325,
0.05056684836745262,
0.014926087111234665,
-0.027006125077605247,
-0.02703014947474003,
0.004498256370425224,
0.009744544513523579,
-0.013794241473078728,
0.0026961041148751974,
0.011207553558051586,
-0.013281880877912045,
0.04979899898171425,
-0.0003966185904573649,
-0.02528146468102932,
0.03127578645944595,
0.01276659406721592,
0.014630353078246117,
0.031055236235260963,
-0.08978987485170364,
0.063651904463768,
0.03378263860940933,
-0.05390064790844917,
0.07542040199041367,
-0.01928027719259262,
0.01966739073395729,
-0.13882803916931152,
0.028632592409849167,
-0.08062927424907684,
-0.042558714747428894,
0.005345023237168789,
-0.03576751425862312,
-0.05335944518446922,
-0.002714690286666155,
-0.02397836185991764,
0.1195145696401596,
-0.01913914829492569,
0.006439149379730225,
-0.007713036146014929,
-0.010162215679883957,
0.021075965836644173,
-0.01879011280834675,
-0.0667724609375,
0.07453450560569763,
-0.08120258152484894,
-0.0629889965057373,
0.0412122905254364,
0.059180110692977905,
0.08056613802909851,
-0.02682138979434967,
0.06417206674814224,
0.035821251571178436,
0.05529628321528435,
0.014002357609570026,
0.06350626796483994,
-0.02236958034336567,
0.012959124520421028,
0.004875955171883106,
0.024325596168637276,
-0.03293468803167343,
-0.04728148877620697,
0.02890034392476082,
-0.026723438873887062,
-0.02776412107050419,
0.15666654706001282,
0.05269350856542587,
0.1024450957775116,
-0.01757914386689663,
-3.4823273153961054e-8,
-0.03207152336835861,
-0.07013522833585739,
-0.04707369580864906,
-0.008286253549158573,
-0.03547140955924988,
0.03432160243391991,
0.01959175430238247,
-0.07153518497943878,
-0.007170516531914473,
-0.043253976851701736,
0.04463426396250725,
-0.04204468056559563,
-0.059475064277648926,
-0.022382767871022224,
-0.00037722382694482803,
0.044195935130119324,
0.030017200857400894,
0.038027167320251465,
0.04216236248612404,
-0.014731856063008308,
0.09056961536407471,
0.02201954461634159,
-0.020892146974802017,
0.028429675847291946,
-0.1013084128499031,
0.0002786735713016242,
-0.021815689280629158,
0.01046590507030487,
-0.0162016823887825,
-0.04263455048203468,
0.07817607372999191,
-0.06936195492744446,
0.02535083144903183,
0.03515273705124855,
0.04901307821273804,
-0.00045079298433847725,
-0.021945856511592865,
0.017839914187788963,
-0.034241482615470886,
0.030152978375554085,
0.10769551992416382,
-0.08682046085596085,
-0.03480834513902664,
0.02312065288424492,
0.012217478826642036,
0.022258417680859566,
0.03302920237183571,
-0.010727830231189728,
-0.018671780824661255,
-0.06030678376555443,
-0.0162502471357584,
-0.049926694482564926,
0.10577008873224258,
-0.007044421508908272,
0.0400475449860096,
-0.020903781056404114,
0.005070196930319071,
-0.005867148749530315,
0.09355024993419647,
0.04673490673303604,
-0.043095171451568604,
0.026119234040379524,
0.03602411225438118,
0.02013510651886463
] | null | null | null | null | null | null | null | [
-0.055192939937114716,
0.05085347965359688,
-0.08672186732292175,
-0.055004436522722244,
-0.1281178742647171,
-0.05413581803441048,
-0.007362818345427513,
0.02906181663274765,
-0.00025069480761885643,
-0.042900409549474716,
0.011419196613132954,
-0.018223674967885017,
0.15776173770427704,
-0.0013751194346696138,
0.012890525162220001,
-0.07365648448467255,
-0.05319167673587799,
0.035799503326416016,
0.010177637450397015,
-0.09388970583677292,
-0.04331012815237045,
-0.06388932466506958,
-0.015569526702165604,
-0.030340805649757385,
0.00815911777317524,
0.10484634339809418,
0.006208241917192936,
-0.021762672811746597,
0.032618358731269836,
0.025677798315882683,
-0.005354854743927717,
-0.00666383933275938,
0.019315572455525398,
0.04400559142231941,
-0.049548301845788956,
0.11007604002952576,
-0.008344709873199463,
-0.023998985067009926,
-0.012364611029624939,
-0.029618022963404655,
-0.06954456120729446,
-0.001534763490781188,
-0.009040307253599167,
0.04253255948424339,
0.07976902276277542,
-0.04611688852310181,
-0.12145870178937912,
0.03129446879029274,
-0.008165216073393822,
0.006350426934659481,
-0.10480298846960068,
-0.0012029941426590085,
0.03500447794795036,
-0.05872295796871185,
0.000034974145819433033,
-0.012612972408533096,
0.007156630512326956,
-0.05985606834292412,
-0.032247044146060944,
-0.0472375862300396,
-0.048510532826185226,
0.10407057404518127,
0.03171369805932045,
0.06300966441631317,
-0.009227568283677101,
0.05494140461087227,
-0.029396362602710724,
0.012590457685291767,
0.04993675276637077,
-0.07833071053028107,
-0.11419705301523209,
-0.009441427886486053,
-0.03690164163708687,
0.04157934710383415,
-0.13465440273284912,
-0.04085332527756691,
-0.09460018575191498,
-0.034601300954818726,
-0.053819265216588974,
-0.021990608423948288,
-0.003144265851005912,
0.010311612859368324,
-0.032708730548620224,
0.06628648191690445,
0.04853856563568115,
0.058458711951971054,
0.0102448845282197,
0.013671289198100567,
-0.005878273397684097,
0.08655854314565659,
0.1134401261806488,
-0.005917425733059645,
0.1271989345550537,
0.006044834852218628,
-0.05732713267207146,
-0.05566458776593208,
0.05013098940253258,
-0.01397545263171196,
-0.060410745441913605,
0.053703147917985916,
-0.039986371994018555,
-0.05156824737787247,
0.05327996611595154,
-0.04137079417705536,
-0.07009651511907578,
-0.04506966471672058,
-0.009798003360629082,
-0.07302574068307877,
0.022208476439118385,
-0.04897661507129669,
-0.0330120287835598,
-0.0669703334569931,
-0.11061039566993713,
-0.08998211473226547,
-0.004012219607830048,
0.046213336288928986,
-0.026806151494383812,
-0.012155949138104916,
0.004521809983998537,
-0.015226048417389393,
-0.03296000510454178,
0.02207675762474537,
-0.12674106657505035,
-0.001436383929103613,
0.008429541252553463,
-0.040335528552532196,
0.00048488983884453773,
1.5328168991524232e-33,
0.039712682366371155,
0.027880432084202766,
-0.024654850363731384,
0.0648622065782547,
0.013411926105618477,
-0.013509683310985565,
-0.08050776273012161,
-0.03120584227144718,
-0.061493828892707825,
-0.034847673028707504,
0.07895775139331818,
0.0901421457529068,
-0.03725737705826759,
0.04705315828323364,
0.12609818577766418,
-0.051795054227113724,
0.053739044815301895,
0.04135202243924141,
0.019876059144735336,
-0.05103753134608269,
-0.00258804252371192,
0.050622906535863876,
0.07539986819028854,
0.01328392792493105,
-0.0004738016286864877,
0.10670606791973114,
0.017608022317290306,
-0.012046475894749165,
0.010215459391474724,
0.01498963963240385,
-0.01425586361438036,
-0.04635310173034668,
-0.08839304745197296,
-0.04282839968800545,
-0.05998663231730461,
-0.0794837474822998,
0.005539535544812679,
-0.07832521200180054,
0.04409266635775566,
0.12611690163612366,
-0.10873162746429443,
-0.046783652156591415,
0.08618080615997314,
-0.03131508082151413,
0.020411528646945953,
0.02518964558839798,
0.05806538462638855,
0.049300339072942734,
0.046835947781801224,
-0.04033675789833069,
0.0066383578814566135,
0.08523429185152054,
0.03795202448964119,
0.08554597944021225,
0.05372360721230507,
-0.03164076432585716,
0.03349623829126358,
0.0016668587923049927,
-0.006206029560416937,
0.04674439877271652,
0.025270657613873482,
0.007644180208444595,
-0.025274040177464485,
0.01627475395798683,
0.007601776625961065,
-0.03586403280496597,
0.03756668046116829,
-0.005652381107211113,
0.026131227612495422,
0.04646741971373558,
-0.045051299035549164,
0.03386204317212105,
0.07004861533641815,
0.1221204400062561,
-0.041269585490226746,
0.005345514975488186,
-0.004533919505774975,
-0.03347739949822426,
-0.01423376239836216,
0.027011608704924583,
-0.09058372676372528,
0.033320918679237366,
0.036080699414014816,
0.004384222440421581,
0.06878145784139633,
0.04455230385065079,
0.07530614733695984,
0.03571109473705292,
0.0029563242569565773,
-0.0019626731518656015,
0.024954374879598618,
0.0439927764236927,
0.012867753393948078,
0.020829828456044197,
0.07425196468830109,
-2.503271974412687e-33,
-0.014966994524002075,
-0.06654921919107437,
-0.05063105747103691,
-0.014004163444042206,
-0.08116526901721954,
-0.07065550237894058,
0.0297959353774786,
0.04338150843977928,
0.008269897662103176,
-0.005943654105067253,
-0.014302590861916542,
0.0041627902537584305,
0.061420220881700516,
-0.0126772690564394,
0.028251269832253456,
0.009788739494979382,
-0.005510589573532343,
0.09119782596826553,
-0.06860411912202835,
-0.054917026311159134,
-0.023446371778845787,
0.005889431107789278,
-0.012210383079946041,
-0.03443019464612007,
0.033097319304943085,
-0.010371283628046513,
-0.0014937862288206816,
-0.054871007800102234,
-0.035147953778505325,
0.05056684836745262,
0.014926087111234665,
-0.027006125077605247,
-0.02703014947474003,
0.004498256370425224,
0.009744544513523579,
-0.013794241473078728,
0.0026961041148751974,
0.011207553558051586,
-0.013281880877912045,
0.04979899898171425,
-0.0003966185904573649,
-0.02528146468102932,
0.03127578645944595,
0.01276659406721592,
0.014630353078246117,
0.031055236235260963,
-0.08978987485170364,
0.063651904463768,
0.03378263860940933,
-0.05390064790844917,
0.07542040199041367,
-0.01928027719259262,
0.01966739073395729,
-0.13882803916931152,
0.028632592409849167,
-0.08062927424907684,
-0.042558714747428894,
0.005345023237168789,
-0.03576751425862312,
-0.05335944518446922,
-0.002714690286666155,
-0.02397836185991764,
0.1195145696401596,
-0.01913914829492569,
0.006439149379730225,
-0.007713036146014929,
-0.010162215679883957,
0.021075965836644173,
-0.01879011280834675,
-0.0667724609375,
0.07453450560569763,
-0.08120258152484894,
-0.0629889965057373,
0.0412122905254364,
0.059180110692977905,
0.08056613802909851,
-0.02682138979434967,
0.06417206674814224,
0.035821251571178436,
0.05529628321528435,
0.014002357609570026,
0.06350626796483994,
-0.02236958034336567,
0.012959124520421028,
0.004875955171883106,
0.024325596168637276,
-0.03293468803167343,
-0.04728148877620697,
0.02890034392476082,
-0.026723438873887062,
-0.02776412107050419,
0.15666654706001282,
0.05269350856542587,
0.1024450957775116,
-0.01757914386689663,
-3.4823273153961054e-8,
-0.03207152336835861,
-0.07013522833585739,
-0.04707369580864906,
-0.008286253549158573,
-0.03547140955924988,
0.03432160243391991,
0.01959175430238247,
-0.07153518497943878,
-0.007170516531914473,
-0.043253976851701736,
0.04463426396250725,
-0.04204468056559563,
-0.059475064277648926,
-0.022382767871022224,
-0.00037722382694482803,
0.044195935130119324,
0.030017200857400894,
0.038027167320251465,
0.04216236248612404,
-0.014731856063008308,
0.09056961536407471,
0.02201954461634159,
-0.020892146974802017,
0.028429675847291946,
-0.1013084128499031,
0.0002786735713016242,
-0.021815689280629158,
0.01046590507030487,
-0.0162016823887825,
-0.04263455048203468,
0.07817607372999191,
-0.06936195492744446,
0.02535083144903183,
0.03515273705124855,
0.04901307821273804,
-0.00045079298433847725,
-0.021945856511592865,
0.017839914187788963,
-0.034241482615470886,
0.030152978375554085,
0.10769551992416382,
-0.08682046085596085,
-0.03480834513902664,
0.02312065288424492,
0.012217478826642036,
0.022258417680859566,
0.03302920237183571,
-0.010727830231189728,
-0.018671780824661255,
-0.06030678376555443,
-0.0162502471357584,
-0.049926694482564926,
0.10577008873224258,
-0.007044421508908272,
0.0400475449860096,
-0.020903781056404114,
0.005070196930319071,
-0.005867148749530315,
0.09355024993419647,
0.04673490673303604,
-0.043095171451568604,
0.026119234040379524,
0.03602411225438118,
0.02013510651886463
] |
1401.1488 | Zeeshan Bhatti | Zeeshan Bhatti, Asadullah Shah, Farruh Shahidi, Mostafa Karbasi | Forward and Inverse Kinematics Seamless Matching Using Jacobian | null | Sindh University Research Journal (SURJ) Volume 45 (2), 8/2013,
pp:387-392, Sindh University Press | null | null | cs.GR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper the problem of matching Forward Kinematics (FK) motion of a 3
Dimensional (3D) joint chain to the Inverse Kinematics (IK) movement and vice
versa has been addressed. The problem lies at the heart of animating a 3D
character having controller and manipulator based rig for animation within any
3D modeling and animation software. The seamless matching has been achieved
through the use of pseudo-inverse of Jacobian Matrix. The Jacobian Matrix is
used to determine the rotation values of each joint of character body part such
as arms, between the inverse kinematics and forward kinematics motion. Then
moving the corresponding kinematic joint system to the desired place,
automatically eliminating the jumping or popping effect which would reduce the
complexity of the system.
| [
{
"created": "Tue, 7 Jan 2014 20:14:55 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Bhatti",
"Zeeshan",
""
],
[
"Shah",
"Asadullah",
""
],
[
"Shahidi",
"Farruh",
""
],
[
"Karbasi",
"Mostafa",
""
]
] | [
-0.0858963206410408,
-0.01997753605246544,
-0.0036600122693926096,
-0.12610602378845215,
-0.10787630081176758,
-0.029711775481700897,
0.010822574608027935,
-0.018518507480621338,
0.06796316057443619,
0.03995354101061821,
0.07652248442173004,
0.05259628966450691,
0.07955484092235565,
-0.019374098628759384,
-0.004685630556195974,
0.007461514789611101,
-0.005481373984366655,
0.14403584599494934,
0.036510687321424484,
0.04096793383359909,
-0.025594986975193024,
-0.01747768372297287,
0.0020145680755376816,
-0.03901294246315956,
-0.009963412769138813,
-0.02809460088610649,
0.0666290819644928,
-0.05738350376486778,
-0.08462116122245789,
0.009134285151958466,
-0.012227477505803108,
-0.04472843557596207,
0.011160913854837418,
-0.057571347802877426,
-0.0792887881398201,
0.044355545192956924,
0.015741651877760887,
0.03905315324664116,
-0.04910258576273918,
0.04449206218123436,
-0.041374385356903076,
0.09387384355068207,
0.08409951627254486,
-0.041050784289836884,
0.09432701021432877,
0.19136281311511993,
-0.09458484500646591,
0.006289586424827576,
0.0017612213268876076,
0.07308508455753326,
-0.03293019160628319,
-0.041624587029218674,
0.07000339031219482,
-0.007906075567007065,
0.034382980316877365,
-0.01585245132446289,
0.007822944782674313,
-0.04545871168375015,
-0.007954521104693413,
0.03044053539633751,
0.06931591033935547,
0.052680354565382004,
0.005989166907966137,
-0.015165961347520351,
-0.0236259363591671,
-0.08320190757513046,
-0.010250088758766651,
-0.027982745319604874,
-0.06632764637470245,
0.02848481573164463,
-0.10703390091657639,
-0.08118762820959091,
0.055058691650629044,
0.016163842752575874,
-0.05999530479311943,
0.010786779224872589,
0.01837635226547718,
0.007250541355460882,
-0.01473801676183939,
0.043232355266809464,
0.04433353245258331,
-0.06802080571651459,
-0.023195909336209297,
-0.0011615910334512591,
-0.03500823304057121,
0.05603991821408272,
-0.11728478968143463,
0.10298968851566315,
0.04343568906188011,
0.019170625135302544,
-0.0015202072681859136,
-0.010061982087790966,
0.0623687207698822,
-0.07736945152282715,
0.0678807869553566,
0.01910674013197422,
0.078887939453125,
0.018011856824159622,
0.03102126158773899,
-0.01837063394486904,
-0.015215435065329075,
-0.05334649235010147,
0.11687777936458588,
0.07208891957998276,
-0.029234176501631737,
0.06033921241760254,
-0.015578845515847206,
-0.011026952415704727,
0.0393204465508461,
-0.011753427796065807,
-0.004690269939601421,
-0.14319062232971191,
0.03590919077396393,
-0.04576372727751732,
-0.04015202075242996,
0.015833839774131775,
-0.01192869246006012,
-0.026168106123805046,
0.015180830843746662,
-0.025291308760643005,
0.022391725331544876,
0.03437969088554382,
0.07163693755865097,
0.020743900910019875,
0.007395624183118343,
-0.034218929708004,
0.04538273066282272,
2.3367503426492477e-33,
-0.036922864615917206,
0.09811262786388397,
-0.008566408418118954,
0.005857148673385382,
-0.04409953951835632,
-0.045972906053066254,
-0.05653105303645134,
-0.07092025876045227,
0.051444895565509796,
0.015349123626947403,
-0.09256988763809204,
0.021130528301000595,
-0.0115510867908597,
0.04218786954879761,
-0.07995127141475677,
0.011584077961742878,
0.05198569968342781,
-0.013347041793167591,
-0.0014971124473959208,
0.09465933591127396,
0.08001019805669785,
-0.023734647780656815,
-0.01998259499669075,
0.0002576337137725204,
-0.013864441774785519,
0.022066229954361916,
-0.011049551889300346,
-0.014573335647583008,
-0.029459407553076744,
-0.0515790656208992,
0.0013568508438766003,
-0.007889609783887863,
-0.058125246316194534,
-0.043545376509428024,
0.006675505544990301,
-0.017434433102607727,
0.0021296385675668716,
-0.05332030728459358,
-0.003833458758890629,
0.04920575022697449,
0.03756004571914673,
-0.016422942280769348,
-0.047794975340366364,
-0.026844745501875877,
-0.03129042312502861,
0.012293793261051178,
0.0687846764922142,
0.07204851508140564,
-0.04512046277523041,
0.06674359738826752,
-0.013712126761674881,
0.08344762027263641,
-0.023982452228665352,
-0.026588015258312225,
-0.08225890249013901,
-0.04795186221599579,
-0.014278899878263474,
-0.013095424510538578,
0.01911362260580063,
0.17428165674209595,
-0.07326947897672653,
0.02312106266617775,
0.04588261619210243,
-0.055488429963588715,
-0.009418600238859653,
-0.05026760697364807,
0.05909531190991402,
-0.003408958436921239,
0.09346336126327515,
0.025801634415984154,
0.019919058308005333,
-0.109806589782238,
0.05339614674448967,
0.0842931792140007,
0.018707245588302612,
-0.015078597702085972,
-0.0512184277176857,
-0.03529821336269379,
-0.04256536811590195,
-0.047993551939725876,
-0.03575967252254486,
-0.023913642391562462,
0.010367989540100098,
0.03973047807812691,
0.032935045659542084,
-0.06973285228013992,
-0.00017565104644745588,
0.02685987576842308,
-0.038128867745399475,
0.0030165747739374638,
0.025511184707283974,
-0.030611677095294,
-0.041028957813978195,
0.07687033712863922,
0.1446581482887268,
-2.8809728193402808e-33,
0.07340289652347565,
-0.028181103989481926,
0.01730695739388466,
0.0187942236661911,
0.014530478976666927,
-0.005063402466475964,
0.05305871367454529,
0.007087599951773882,
-0.010672603733837605,
-0.026729129254817963,
-0.0439474992454052,
0.038839418441057205,
0.03169810399413109,
0.06736006587743759,
0.0014740057522431016,
0.10389681905508041,
-0.0005324165686033666,
-0.048506561666727066,
-0.00040151094435714185,
0.0243886336684227,
0.06576430052518845,
0.023376181721687317,
0.007489517796784639,
-0.01687336154282093,
-0.024537764489650726,
0.06435772031545639,
0.02438427321612835,
0.0011305046500638127,
-0.04570784419775009,
0.04764946550130844,
-0.06180472671985626,
-0.0262579545378685,
0.022258944809436798,
0.029222555458545685,
-0.0033888081088662148,
-0.024349631741642952,
-0.06948792189359665,
0.05970882996916771,
0.08472520112991333,
-0.028444090858101845,
0.06307699531316757,
-0.023046618327498436,
-0.0273631289601326,
0.02373942919075489,
0.01572582870721817,
-0.02064003422856331,
-0.08294020593166351,
0.0483570322394371,
0.024089809507131577,
-0.04779414087533951,
-0.10184331983327866,
0.06140589714050293,
0.040510211139917374,
-0.18050861358642578,
0.045231569558382034,
-0.05371401086449623,
-0.020308326929807663,
-0.0036530920770019293,
0.026897035539150238,
0.009082814678549767,
-0.000616881181485951,
-0.011968763545155525,
0.05680527165532112,
0.06362374871969223,
0.018826143816113472,
0.09418592602014542,
0.04641240835189819,
-0.006468688137829304,
-0.02545926161110401,
-0.02396046556532383,
-0.03776865452528,
-0.005778664257377386,
0.09936168044805527,
-0.017927467823028564,
0.0297379232943058,
-0.09601623564958572,
-0.007549317553639412,
0.0018650628626346588,
0.058166686445474625,
-0.04142805561423302,
-0.007238057442009449,
-0.08430013060569763,
0.01611621491611004,
0.08331143856048584,
-0.13005608320236206,
0.06755907088518143,
-0.09185918420553207,
0.004440160468220711,
-0.04622194170951843,
-0.017612965777516365,
0.005841877311468124,
0.05848829075694084,
0.036529384553432465,
0.018847158178687096,
0.03275160863995552,
-4.236011719171984e-8,
-0.03991914540529251,
0.016506457701325417,
0.041691675782203674,
-0.024521861225366592,
-0.09893640875816345,
0.1274620145559311,
0.06825210154056549,
0.0031651118770241737,
0.006713229231536388,
-0.06628042459487915,
0.007329138927161694,
-0.03546125441789627,
0.05153164267539978,
0.05709899216890335,
-0.016610296443104744,
0.030894897878170013,
-0.015011458657681942,
0.0017024112166836858,
-0.004780623130500317,
-0.039544302970170975,
-0.010724801570177078,
0.03823176771402359,
-0.015696773305535316,
0.0172596238553524,
-0.06218761205673218,
0.00445592263713479,
-0.09520633518695831,
-0.0425453744828701,
0.024740012362599373,
-0.005776712205260992,
-0.003310153726488352,
-0.05294513329863548,
0.02120356820523739,
0.0059035345911979675,
-0.0005017270450480282,
-0.023164568468928337,
-0.03677063062787056,
-0.02728765644133091,
-0.02621403895318508,
-0.005886496510356665,
-0.04140802100300789,
0.12802816927433014,
-0.011808118782937527,
0.001985905459150672,
0.025145987048745155,
-0.012564916163682938,
0.004645370412617922,
-0.062307827174663544,
0.014455550350248814,
-0.04017682373523712,
0.03811594471335411,
-0.031692616641521454,
-0.029156137257814407,
-0.011902758851647377,
0.018307426944375038,
0.0320490263402462,
-0.006377081386744976,
0.013151366263628006,
0.026313459500670433,
0.05273298919200897,
-0.09862962365150452,
-0.02447465993463993,
-0.005025202874094248,
-0.03740343078970909
] | null | null | null | null | null | null | null | [
-0.0858963206410408,
-0.01997753605246544,
-0.0036600122693926096,
-0.12610602378845215,
-0.10787630081176758,
-0.029711775481700897,
0.010822574608027935,
-0.018518507480621338,
0.06796316057443619,
0.03995354101061821,
0.07652248442173004,
0.05259628966450691,
0.07955484092235565,
-0.019374098628759384,
-0.004685630556195974,
0.007461514789611101,
-0.005481373984366655,
0.14403584599494934,
0.036510687321424484,
0.04096793383359909,
-0.025594986975193024,
-0.01747768372297287,
0.0020145680755376816,
-0.03901294246315956,
-0.009963412769138813,
-0.02809460088610649,
0.0666290819644928,
-0.05738350376486778,
-0.08462116122245789,
0.009134285151958466,
-0.012227477505803108,
-0.04472843557596207,
0.011160913854837418,
-0.057571347802877426,
-0.0792887881398201,
0.044355545192956924,
0.015741651877760887,
0.03905315324664116,
-0.04910258576273918,
0.04449206218123436,
-0.041374385356903076,
0.09387384355068207,
0.08409951627254486,
-0.041050784289836884,
0.09432701021432877,
0.19136281311511993,
-0.09458484500646591,
0.006289586424827576,
0.0017612213268876076,
0.07308508455753326,
-0.03293019160628319,
-0.041624587029218674,
0.07000339031219482,
-0.007906075567007065,
0.034382980316877365,
-0.01585245132446289,
0.007822944782674313,
-0.04545871168375015,
-0.007954521104693413,
0.03044053539633751,
0.06931591033935547,
0.052680354565382004,
0.005989166907966137,
-0.015165961347520351,
-0.0236259363591671,
-0.08320190757513046,
-0.010250088758766651,
-0.027982745319604874,
-0.06632764637470245,
0.02848481573164463,
-0.10703390091657639,
-0.08118762820959091,
0.055058691650629044,
0.016163842752575874,
-0.05999530479311943,
0.010786779224872589,
0.01837635226547718,
0.007250541355460882,
-0.01473801676183939,
0.043232355266809464,
0.04433353245258331,
-0.06802080571651459,
-0.023195909336209297,
-0.0011615910334512591,
-0.03500823304057121,
0.05603991821408272,
-0.11728478968143463,
0.10298968851566315,
0.04343568906188011,
0.019170625135302544,
-0.0015202072681859136,
-0.010061982087790966,
0.0623687207698822,
-0.07736945152282715,
0.0678807869553566,
0.01910674013197422,
0.078887939453125,
0.018011856824159622,
0.03102126158773899,
-0.01837063394486904,
-0.015215435065329075,
-0.05334649235010147,
0.11687777936458588,
0.07208891957998276,
-0.029234176501631737,
0.06033921241760254,
-0.015578845515847206,
-0.011026952415704727,
0.0393204465508461,
-0.011753427796065807,
-0.004690269939601421,
-0.14319062232971191,
0.03590919077396393,
-0.04576372727751732,
-0.04015202075242996,
0.015833839774131775,
-0.01192869246006012,
-0.026168106123805046,
0.015180830843746662,
-0.025291308760643005,
0.022391725331544876,
0.03437969088554382,
0.07163693755865097,
0.020743900910019875,
0.007395624183118343,
-0.034218929708004,
0.04538273066282272,
2.3367503426492477e-33,
-0.036922864615917206,
0.09811262786388397,
-0.008566408418118954,
0.005857148673385382,
-0.04409953951835632,
-0.045972906053066254,
-0.05653105303645134,
-0.07092025876045227,
0.051444895565509796,
0.015349123626947403,
-0.09256988763809204,
0.021130528301000595,
-0.0115510867908597,
0.04218786954879761,
-0.07995127141475677,
0.011584077961742878,
0.05198569968342781,
-0.013347041793167591,
-0.0014971124473959208,
0.09465933591127396,
0.08001019805669785,
-0.023734647780656815,
-0.01998259499669075,
0.0002576337137725204,
-0.013864441774785519,
0.022066229954361916,
-0.011049551889300346,
-0.014573335647583008,
-0.029459407553076744,
-0.0515790656208992,
0.0013568508438766003,
-0.007889609783887863,
-0.058125246316194534,
-0.043545376509428024,
0.006675505544990301,
-0.017434433102607727,
0.0021296385675668716,
-0.05332030728459358,
-0.003833458758890629,
0.04920575022697449,
0.03756004571914673,
-0.016422942280769348,
-0.047794975340366364,
-0.026844745501875877,
-0.03129042312502861,
0.012293793261051178,
0.0687846764922142,
0.07204851508140564,
-0.04512046277523041,
0.06674359738826752,
-0.013712126761674881,
0.08344762027263641,
-0.023982452228665352,
-0.026588015258312225,
-0.08225890249013901,
-0.04795186221599579,
-0.014278899878263474,
-0.013095424510538578,
0.01911362260580063,
0.17428165674209595,
-0.07326947897672653,
0.02312106266617775,
0.04588261619210243,
-0.055488429963588715,
-0.009418600238859653,
-0.05026760697364807,
0.05909531190991402,
-0.003408958436921239,
0.09346336126327515,
0.025801634415984154,
0.019919058308005333,
-0.109806589782238,
0.05339614674448967,
0.0842931792140007,
0.018707245588302612,
-0.015078597702085972,
-0.0512184277176857,
-0.03529821336269379,
-0.04256536811590195,
-0.047993551939725876,
-0.03575967252254486,
-0.023913642391562462,
0.010367989540100098,
0.03973047807812691,
0.032935045659542084,
-0.06973285228013992,
-0.00017565104644745588,
0.02685987576842308,
-0.038128867745399475,
0.0030165747739374638,
0.025511184707283974,
-0.030611677095294,
-0.041028957813978195,
0.07687033712863922,
0.1446581482887268,
-2.8809728193402808e-33,
0.07340289652347565,
-0.028181103989481926,
0.01730695739388466,
0.0187942236661911,
0.014530478976666927,
-0.005063402466475964,
0.05305871367454529,
0.007087599951773882,
-0.010672603733837605,
-0.026729129254817963,
-0.0439474992454052,
0.038839418441057205,
0.03169810399413109,
0.06736006587743759,
0.0014740057522431016,
0.10389681905508041,
-0.0005324165686033666,
-0.048506561666727066,
-0.00040151094435714185,
0.0243886336684227,
0.06576430052518845,
0.023376181721687317,
0.007489517796784639,
-0.01687336154282093,
-0.024537764489650726,
0.06435772031545639,
0.02438427321612835,
0.0011305046500638127,
-0.04570784419775009,
0.04764946550130844,
-0.06180472671985626,
-0.0262579545378685,
0.022258944809436798,
0.029222555458545685,
-0.0033888081088662148,
-0.024349631741642952,
-0.06948792189359665,
0.05970882996916771,
0.08472520112991333,
-0.028444090858101845,
0.06307699531316757,
-0.023046618327498436,
-0.0273631289601326,
0.02373942919075489,
0.01572582870721817,
-0.02064003422856331,
-0.08294020593166351,
0.0483570322394371,
0.024089809507131577,
-0.04779414087533951,
-0.10184331983327866,
0.06140589714050293,
0.040510211139917374,
-0.18050861358642578,
0.045231569558382034,
-0.05371401086449623,
-0.020308326929807663,
-0.0036530920770019293,
0.026897035539150238,
0.009082814678549767,
-0.000616881181485951,
-0.011968763545155525,
0.05680527165532112,
0.06362374871969223,
0.018826143816113472,
0.09418592602014542,
0.04641240835189819,
-0.006468688137829304,
-0.02545926161110401,
-0.02396046556532383,
-0.03776865452528,
-0.005778664257377386,
0.09936168044805527,
-0.017927467823028564,
0.0297379232943058,
-0.09601623564958572,
-0.007549317553639412,
0.0018650628626346588,
0.058166686445474625,
-0.04142805561423302,
-0.007238057442009449,
-0.08430013060569763,
0.01611621491611004,
0.08331143856048584,
-0.13005608320236206,
0.06755907088518143,
-0.09185918420553207,
0.004440160468220711,
-0.04622194170951843,
-0.017612965777516365,
0.005841877311468124,
0.05848829075694084,
0.036529384553432465,
0.018847158178687096,
0.03275160863995552,
-4.236011719171984e-8,
-0.03991914540529251,
0.016506457701325417,
0.041691675782203674,
-0.024521861225366592,
-0.09893640875816345,
0.1274620145559311,
0.06825210154056549,
0.0031651118770241737,
0.006713229231536388,
-0.06628042459487915,
0.007329138927161694,
-0.03546125441789627,
0.05153164267539978,
0.05709899216890335,
-0.016610296443104744,
0.030894897878170013,
-0.015011458657681942,
0.0017024112166836858,
-0.004780623130500317,
-0.039544302970170975,
-0.010724801570177078,
0.03823176771402359,
-0.015696773305535316,
0.0172596238553524,
-0.06218761205673218,
0.00445592263713479,
-0.09520633518695831,
-0.0425453744828701,
0.024740012362599373,
-0.005776712205260992,
-0.003310153726488352,
-0.05294513329863548,
0.02120356820523739,
0.0059035345911979675,
-0.0005017270450480282,
-0.023164568468928337,
-0.03677063062787056,
-0.02728765644133091,
-0.02621403895318508,
-0.005886496510356665,
-0.04140802100300789,
0.12802816927433014,
-0.011808118782937527,
0.001985905459150672,
0.025145987048745155,
-0.012564916163682938,
0.004645370412617922,
-0.062307827174663544,
0.014455550350248814,
-0.04017682373523712,
0.03811594471335411,
-0.031692616641521454,
-0.029156137257814407,
-0.011902758851647377,
0.018307426944375038,
0.0320490263402462,
-0.006377081386744976,
0.013151366263628006,
0.026313459500670433,
0.05273298919200897,
-0.09862962365150452,
-0.02447465993463993,
-0.005025202874094248,
-0.03740343078970909
] |
1401.1489 | Romain H\'erault | John Komar and Romain H\'erault and Ludovic Seifert | Key point selection and clustering of swimmer coordination through
Sparse Fisher-EM | Presented at ECML/PKDD 2013 Workshop on Machine Learning and Data
Mining for Sports Analytics (MLSA2013) | null | null | null | stat.ML cs.CV cs.LG physics.data-an stat.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To answer the existence of optimal swimmer learning/teaching strategies, this
work introduces a two-level clustering in order to analyze temporal dynamics of
motor learning in breaststroke swimming. Each level have been performed through
Sparse Fisher-EM, a unsupervised framework which can be applied efficiently on
large and correlated datasets. The induced sparsity selects key points of the
coordination phase without any prior knowledge.
| [
{
"created": "Tue, 7 Jan 2014 20:16:05 GMT",
"version": "v1"
}
] | 2014-01-08 | [
[
"Komar",
"John",
""
],
[
"Hérault",
"Romain",
""
],
[
"Seifert",
"Ludovic",
""
]
] | [
0.01851007714867592,
-0.08316142857074738,
0.03728256747126579,
0.012576794251799583,
-0.03212425112724304,
0.03131301328539848,
0.023167230188846588,
-0.12435620278120041,
-0.007010316010564566,
-0.05709150433540344,
0.04702724516391754,
-0.037210140377283096,
-0.03121810592710972,
0.09143825620412827,
-0.018650980666279793,
-0.007562961895018816,
-0.0026035234332084656,
0.03750767186284065,
-0.032677147537469864,
0.006130393128842115,
-0.041212957352399826,
0.024236630648374557,
0.034564804285764694,
0.093795046210289,
-0.00005739347398048267,
0.07471248507499695,
0.058721866458654404,
-0.010249264538288116,
-0.007801414001733065,
-0.02366631291806698,
-0.041505828499794006,
-0.0035035773180425167,
0.026519333943724632,
-0.08093653619289398,
-0.00015181531489361078,
0.02158019132912159,
0.0321769043803215,
0.03613060340285301,
-0.04739844799041748,
0.025942077860236168,
0.009313598275184631,
0.015503237955272198,
0.07228544354438782,
0.0616077184677124,
0.09540949761867523,
0.1755283921957016,
0.011367534287273884,
0.04909762367606163,
-0.006253527943044901,
-0.03564860671758652,
-0.026876550167798996,
-0.02650218829512596,
0.07319898158311844,
-0.06128396838903427,
0.0708952471613884,
0.019634904339909554,
0.016144637018442154,
-0.0005360613577067852,
0.01783696748316288,
-0.03652537986636162,
0.038110215216875076,
-0.049606695771217346,
-0.013941860757768154,
0.040316637605428696,
-0.004967852961272001,
-0.024679791182279587,
-0.028678394854068756,
0.09722190350294113,
0.04603862389922142,
0.011491336859762669,
0.006680934224277735,
0.025319671258330345,
-0.02590658701956272,
0.03949151933193207,
0.006394659634679556,
0.022233452647924423,
0.05379633605480194,
-0.050825994461774826,
0.06057078763842583,
0.010321667417883873,
-0.025889256969094276,
-0.06069201976060867,
0.01317564956843853,
0.0008196090930141509,
0.08628229051828384,
-0.06561470031738281,
0.04193154349923134,
-0.04643658548593521,
-0.023958953097462654,
0.013245074078440666,
-0.02067829854786396,
0.009147034026682377,
-0.060008175671100616,
-0.09626243263483047,
-0.02887614257633686,
0.042450692504644394,
-0.02271542325615883,
0.012828235514461994,
0.08498361706733704,
0.052596334367990494,
-0.020434128120541573,
-0.012097434140741825,
0.01621105708181858,
0.07637625187635422,
0.03452351316809654,
-0.08103463798761368,
0.10861264914274216,
0.0439925380051136,
0.12925922870635986,
-0.028844840824604034,
0.005620256997644901,
-0.01728281006217003,
0.06566742807626724,
0.045061253011226654,
-0.0331694632768631,
-0.016234328970313072,
0.019721610471606255,
0.018246684223413467,
0.028651993721723557,
0.06368427723646164,
0.00855215173214674,
-0.1077406033873558,
0.0064689237624406815,
-0.0169071052223444,
0.048276178538799286,
-0.014004867523908615,
-0.05842575430870056,
4.814325735046471e-34,
0.03109094314277172,
-0.06911671161651611,
0.04393746703863144,
-0.021163182333111763,
-0.0014205251354724169,
-0.05103328451514244,
-0.03696334362030029,
-0.09050703793764114,
0.017593510448932648,
-0.05101412534713745,
-0.03156163915991783,
0.032277271151542664,
-0.018179507926106453,
0.015096009708940983,
0.029098814353346825,
-0.030122019350528717,
0.021245067939162254,
0.037770699709653854,
-0.012472310103476048,
-0.08526276051998138,
0.12161374092102051,
0.017624452710151672,
-0.00739305792376399,
-0.0849105715751648,
-0.05278560146689415,
-0.019641390070319176,
0.01793980412185192,
-0.04992084950208664,
-0.010344686917960644,
0.045559365302324295,
-0.04827665910124779,
-0.03973443806171417,
-0.12021897733211517,
0.024369915947318077,
0.03881853446364403,
0.033894557505846024,
0.10080002248287201,
-0.045306459069252014,
0.08884380757808685,
0.004050044808536768,
-0.008238185197114944,
-0.03416075184941292,
0.07079483568668365,
-0.11308519542217255,
-0.04032421112060547,
0.00227655959315598,
0.08656565099954605,
0.0497749038040638,
-0.024443751201033592,
-0.012845290824770927,
0.009315225295722485,
-0.11150366812944412,
0.006839567329734564,
-0.08948460966348648,
0.014447047375142574,
0.001050084363669157,
-0.029615091159939766,
0.028968553990125656,
-0.08455561101436615,
0.03585319221019745,
-0.02238791435956955,
0.00019742822041735053,
-0.039234865456819534,
-0.0579635351896286,
0.05144199728965759,
0.04815402999520302,
-0.005196369718760252,
0.00436317827552557,
0.10033483803272247,
-0.08914446085691452,
-0.008984978310763836,
0.0014328258112072945,
-0.030574355274438858,
-0.06866049021482468,
0.03740070387721062,
0.039087388664484024,
0.10602226108312607,
0.01212756521999836,
-0.06826074421405792,
0.016646046191453934,
-0.02618216723203659,
-0.016310004517436028,
-0.05734069272875786,
0.020831868052482605,
-0.012330124154686928,
-0.041554395109415054,
0.024218546226620674,
-0.038950446993112564,
-0.05576232820749283,
-0.02542121335864067,
-0.04675125703215599,
-0.02542961947619915,
-0.03644487261772156,
-0.007934714667499065,
0.05327790603041649,
-1.7423856850559515e-33,
-0.03609394282102585,
0.015293157659471035,
0.059983029961586,
-0.01692904345691204,
0.04191933199763298,
0.0131417540833354,
0.022848770022392273,
0.03981780633330345,
0.009924039244651794,
-0.065578393638134,
-0.06329044699668884,
-0.08207646012306213,
-0.017525147646665573,
-0.003326179925352335,
-0.006051003932952881,
0.06414523720741272,
-0.0017616215627640486,
0.029528465121984482,
0.08374103158712387,
-0.020900148898363113,
0.026958080008625984,
-0.028118396177887917,
0.05752157047390938,
0.011663687415421009,
0.028648115694522858,
0.019073840230703354,
-0.052186623215675354,
0.020240504294633865,
-0.012793651781976223,
0.06271384656429291,
-0.018859101459383965,
-0.04579625651240349,
0.026907414197921753,
0.041491370648145676,
-0.1314929574728012,
0.033133480697870255,
-0.003237803466618061,
0.031100526452064514,
0.00028748135082423687,
-0.021714329719543457,
0.03644662722945213,
-0.04669858515262604,
-0.05670333281159401,
-0.04477474465966225,
0.08163106441497803,
-0.09316927194595337,
-0.04049460589885712,
0.0596107579767704,
-0.05249029025435448,
0.049140337854623795,
-0.07907170057296753,
-0.025142373517155647,
-0.02471223846077919,
-0.04801066592335701,
-0.010778098367154598,
-0.02086775377392769,
0.08615195006132126,
-0.030975040048360825,
0.0252341628074646,
-0.02074463479220867,
-0.006188464350998402,
-0.017214588820934296,
-0.1339024007320404,
0.06070170924067497,
0.013552163727581501,
0.07303179800510406,
0.02363688126206398,
-0.03579965978860855,
-0.022967053577303886,
0.0028953207656741142,
-0.06263334304094315,
0.06061688810586929,
0.028767693787813187,
-0.048040322959423065,
-0.023311670869588852,
-0.0010820587631314993,
-0.022678464651107788,
0.01355329342186451,
-0.04731110483407974,
0.03207702934741974,
-0.008758759126067162,
0.010877464897930622,
0.01312405988574028,
0.023800084367394447,
-0.010725903324782848,
0.11249852925539017,
0.03707952797412872,
-0.004633239470422268,
0.03822686895728111,
-0.030110396444797516,
-0.01873767003417015,
0.02380784973502159,
0.09390167146921158,
-0.00025435135466977954,
-0.03750356659293175,
-3.315564711670049e-8,
-0.03902162238955498,
-0.005002161953598261,
0.07643528282642365,
-0.030227700248360634,
0.06858769059181213,
0.03675774484872818,
-0.06623516231775284,
0.052596479654312134,
-0.02190016768872738,
-0.018247533589601517,
0.1011461392045021,
-0.05636095255613327,
0.05750212073326111,
-0.04946793243288994,
0.05969730764627457,
0.060525596141815186,
0.06493712961673737,
-0.0022286786697804928,
-0.08755582571029663,
-0.01824931800365448,
0.00327028869651258,
-0.03989960998296738,
-0.04375876858830452,
0.05748063698410988,
0.02246146649122238,
-0.08671502768993378,
-0.06487742066383362,
0.038094956427812576,
0.01607908308506012,
-0.10446581989526749,
-0.02440197579562664,
-0.006310745608061552,
0.014760943129658699,
0.06348848342895508,
-0.02819601260125637,
0.05827556550502777,
-0.024613242596387863,
-0.01726621761918068,
-0.16137221455574036,
-0.008312770165503025,
-0.11921253800392151,
0.054943256080150604,
0.025630898773670197,
0.013551399111747742,
0.0675448551774025,
0.016283763572573662,
0.05098683759570122,
-0.09962525218725204,
0.08453940600156784,
-0.05500495806336403,
0.014380674809217453,
0.03890155628323555,
0.011347739957273006,
0.10305464267730713,
0.009179621003568172,
0.17907953262329102,
-0.08946233242750168,
-0.07750533521175385,
0.009750846773386002,
0.029903709888458252,
0.002448488026857376,
-0.017284102737903595,
-0.08168717473745346,
0.03346792235970497
] | null | null | null | null | null | null | null | [
0.01851007714867592,
-0.08316142857074738,
0.03728256747126579,
0.012576794251799583,
-0.03212425112724304,
0.03131301328539848,
0.023167230188846588,
-0.12435620278120041,
-0.007010316010564566,
-0.05709150433540344,
0.04702724516391754,
-0.037210140377283096,
-0.03121810592710972,
0.09143825620412827,
-0.018650980666279793,
-0.007562961895018816,
-0.0026035234332084656,
0.03750767186284065,
-0.032677147537469864,
0.006130393128842115,
-0.041212957352399826,
0.024236630648374557,
0.034564804285764694,
0.093795046210289,
-0.00005739347398048267,
0.07471248507499695,
0.058721866458654404,
-0.010249264538288116,
-0.007801414001733065,
-0.02366631291806698,
-0.041505828499794006,
-0.0035035773180425167,
0.026519333943724632,
-0.08093653619289398,
-0.00015181531489361078,
0.02158019132912159,
0.0321769043803215,
0.03613060340285301,
-0.04739844799041748,
0.025942077860236168,
0.009313598275184631,
0.015503237955272198,
0.07228544354438782,
0.0616077184677124,
0.09540949761867523,
0.1755283921957016,
0.011367534287273884,
0.04909762367606163,
-0.006253527943044901,
-0.03564860671758652,
-0.026876550167798996,
-0.02650218829512596,
0.07319898158311844,
-0.06128396838903427,
0.0708952471613884,
0.019634904339909554,
0.016144637018442154,
-0.0005360613577067852,
0.01783696748316288,
-0.03652537986636162,
0.038110215216875076,
-0.049606695771217346,
-0.013941860757768154,
0.040316637605428696,
-0.004967852961272001,
-0.024679791182279587,
-0.028678394854068756,
0.09722190350294113,
0.04603862389922142,
0.011491336859762669,
0.006680934224277735,
0.025319671258330345,
-0.02590658701956272,
0.03949151933193207,
0.006394659634679556,
0.022233452647924423,
0.05379633605480194,
-0.050825994461774826,
0.06057078763842583,
0.010321667417883873,
-0.025889256969094276,
-0.06069201976060867,
0.01317564956843853,
0.0008196090930141509,
0.08628229051828384,
-0.06561470031738281,
0.04193154349923134,
-0.04643658548593521,
-0.023958953097462654,
0.013245074078440666,
-0.02067829854786396,
0.009147034026682377,
-0.060008175671100616,
-0.09626243263483047,
-0.02887614257633686,
0.042450692504644394,
-0.02271542325615883,
0.012828235514461994,
0.08498361706733704,
0.052596334367990494,
-0.020434128120541573,
-0.012097434140741825,
0.01621105708181858,
0.07637625187635422,
0.03452351316809654,
-0.08103463798761368,
0.10861264914274216,
0.0439925380051136,
0.12925922870635986,
-0.028844840824604034,
0.005620256997644901,
-0.01728281006217003,
0.06566742807626724,
0.045061253011226654,
-0.0331694632768631,
-0.016234328970313072,
0.019721610471606255,
0.018246684223413467,
0.028651993721723557,
0.06368427723646164,
0.00855215173214674,
-0.1077406033873558,
0.0064689237624406815,
-0.0169071052223444,
0.048276178538799286,
-0.014004867523908615,
-0.05842575430870056,
4.814325735046471e-34,
0.03109094314277172,
-0.06911671161651611,
0.04393746703863144,
-0.021163182333111763,
-0.0014205251354724169,
-0.05103328451514244,
-0.03696334362030029,
-0.09050703793764114,
0.017593510448932648,
-0.05101412534713745,
-0.03156163915991783,
0.032277271151542664,
-0.018179507926106453,
0.015096009708940983,
0.029098814353346825,
-0.030122019350528717,
0.021245067939162254,
0.037770699709653854,
-0.012472310103476048,
-0.08526276051998138,
0.12161374092102051,
0.017624452710151672,
-0.00739305792376399,
-0.0849105715751648,
-0.05278560146689415,
-0.019641390070319176,
0.01793980412185192,
-0.04992084950208664,
-0.010344686917960644,
0.045559365302324295,
-0.04827665910124779,
-0.03973443806171417,
-0.12021897733211517,
0.024369915947318077,
0.03881853446364403,
0.033894557505846024,
0.10080002248287201,
-0.045306459069252014,
0.08884380757808685,
0.004050044808536768,
-0.008238185197114944,
-0.03416075184941292,
0.07079483568668365,
-0.11308519542217255,
-0.04032421112060547,
0.00227655959315598,
0.08656565099954605,
0.0497749038040638,
-0.024443751201033592,
-0.012845290824770927,
0.009315225295722485,
-0.11150366812944412,
0.006839567329734564,
-0.08948460966348648,
0.014447047375142574,
0.001050084363669157,
-0.029615091159939766,
0.028968553990125656,
-0.08455561101436615,
0.03585319221019745,
-0.02238791435956955,
0.00019742822041735053,
-0.039234865456819534,
-0.0579635351896286,
0.05144199728965759,
0.04815402999520302,
-0.005196369718760252,
0.00436317827552557,
0.10033483803272247,
-0.08914446085691452,
-0.008984978310763836,
0.0014328258112072945,
-0.030574355274438858,
-0.06866049021482468,
0.03740070387721062,
0.039087388664484024,
0.10602226108312607,
0.01212756521999836,
-0.06826074421405792,
0.016646046191453934,
-0.02618216723203659,
-0.016310004517436028,
-0.05734069272875786,
0.020831868052482605,
-0.012330124154686928,
-0.041554395109415054,
0.024218546226620674,
-0.038950446993112564,
-0.05576232820749283,
-0.02542121335864067,
-0.04675125703215599,
-0.02542961947619915,
-0.03644487261772156,
-0.007934714667499065,
0.05327790603041649,
-1.7423856850559515e-33,
-0.03609394282102585,
0.015293157659471035,
0.059983029961586,
-0.01692904345691204,
0.04191933199763298,
0.0131417540833354,
0.022848770022392273,
0.03981780633330345,
0.009924039244651794,
-0.065578393638134,
-0.06329044699668884,
-0.08207646012306213,
-0.017525147646665573,
-0.003326179925352335,
-0.006051003932952881,
0.06414523720741272,
-0.0017616215627640486,
0.029528465121984482,
0.08374103158712387,
-0.020900148898363113,
0.026958080008625984,
-0.028118396177887917,
0.05752157047390938,
0.011663687415421009,
0.028648115694522858,
0.019073840230703354,
-0.052186623215675354,
0.020240504294633865,
-0.012793651781976223,
0.06271384656429291,
-0.018859101459383965,
-0.04579625651240349,
0.026907414197921753,
0.041491370648145676,
-0.1314929574728012,
0.033133480697870255,
-0.003237803466618061,
0.031100526452064514,
0.00028748135082423687,
-0.021714329719543457,
0.03644662722945213,
-0.04669858515262604,
-0.05670333281159401,
-0.04477474465966225,
0.08163106441497803,
-0.09316927194595337,
-0.04049460589885712,
0.0596107579767704,
-0.05249029025435448,
0.049140337854623795,
-0.07907170057296753,
-0.025142373517155647,
-0.02471223846077919,
-0.04801066592335701,
-0.010778098367154598,
-0.02086775377392769,
0.08615195006132126,
-0.030975040048360825,
0.0252341628074646,
-0.02074463479220867,
-0.006188464350998402,
-0.017214588820934296,
-0.1339024007320404,
0.06070170924067497,
0.013552163727581501,
0.07303179800510406,
0.02363688126206398,
-0.03579965978860855,
-0.022967053577303886,
0.0028953207656741142,
-0.06263334304094315,
0.06061688810586929,
0.028767693787813187,
-0.048040322959423065,
-0.023311670869588852,
-0.0010820587631314993,
-0.022678464651107788,
0.01355329342186451,
-0.04731110483407974,
0.03207702934741974,
-0.008758759126067162,
0.010877464897930622,
0.01312405988574028,
0.023800084367394447,
-0.010725903324782848,
0.11249852925539017,
0.03707952797412872,
-0.004633239470422268,
0.03822686895728111,
-0.030110396444797516,
-0.01873767003417015,
0.02380784973502159,
0.09390167146921158,
-0.00025435135466977954,
-0.03750356659293175,
-3.315564711670049e-8,
-0.03902162238955498,
-0.005002161953598261,
0.07643528282642365,
-0.030227700248360634,
0.06858769059181213,
0.03675774484872818,
-0.06623516231775284,
0.052596479654312134,
-0.02190016768872738,
-0.018247533589601517,
0.1011461392045021,
-0.05636095255613327,
0.05750212073326111,
-0.04946793243288994,
0.05969730764627457,
0.060525596141815186,
0.06493712961673737,
-0.0022286786697804928,
-0.08755582571029663,
-0.01824931800365448,
0.00327028869651258,
-0.03989960998296738,
-0.04375876858830452,
0.05748063698410988,
0.02246146649122238,
-0.08671502768993378,
-0.06487742066383362,
0.038094956427812576,
0.01607908308506012,
-0.10446581989526749,
-0.02440197579562664,
-0.006310745608061552,
0.014760943129658699,
0.06348848342895508,
-0.02819601260125637,
0.05827556550502777,
-0.024613242596387863,
-0.01726621761918068,
-0.16137221455574036,
-0.008312770165503025,
-0.11921253800392151,
0.054943256080150604,
0.025630898773670197,
0.013551399111747742,
0.0675448551774025,
0.016283763572573662,
0.05098683759570122,
-0.09962525218725204,
0.08453940600156784,
-0.05500495806336403,
0.014380674809217453,
0.03890155628323555,
0.011347739957273006,
0.10305464267730713,
0.009179621003568172,
0.17907953262329102,
-0.08946233242750168,
-0.07750533521175385,
0.009750846773386002,
0.029903709888458252,
0.002448488026857376,
-0.017284102737903595,
-0.08168717473745346,
0.03346792235970497
] |
1401.1491 | Markus Reiher | Thomas Weymuth and Markus Reiher | Gradient-Driven Molecule Construction: An Inverse Approach Applied to
the Design of Small-Molecule Fixating Catalysts | 40 pages, 6 tables, 5 figures | International Journal of Quantum Chemistry, Volume 114, Issue 13,
pages 838-850, 5 July 2014 | 10.1002/qua.24686 | null | physics.chem-ph cond-mat.mtrl-sci physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Rational design of molecules and materials usually requires extensive
screening of molecular structures for the desired property. The inverse
approach to deduce a structure for a predefined property would be highly
desirable, but is, unfortunately, not well-defined. However, feasible
strategies for such an inverse design process may be successfully developed for
specific purposes. We discuss options for calculating 'jacket' potentials that
fulfill a predefined target requirement - a concept that we recently introduced
[T. Weymuth, M. Reiher, MRS Proceediungs, 2013, 1524,
DOI:10.1557/opl.2012.1764]. We consider the case of small-molecule activating
transition metal catalysts. As a target requirement we choose the vanishing
geometry gradients on all atoms of a subsystem consisting of a metal center
binding the small molecule to be activated. The jacket potential can be
represented within a full quantum model or by a sequence of approximations of
which a field of electrostatic point charges is the simplest. In a second step,
the jacket potential needs to be replaced by a chemically viable chelate-ligand
structure for which the geometry gradients on all of its atoms are also
required to vanish. In order to analyze the feasibility of this approach, we
dissect a known dinitrogen-fixating catalyst to study possible design
strategies that must eventually produce the known catalyst.
| [
{
"created": "Tue, 7 Jan 2014 20:32:33 GMT",
"version": "v1"
},
{
"created": "Sat, 17 May 2014 01:18:59 GMT",
"version": "v2"
}
] | 2014-05-20 | [
[
"Weymuth",
"Thomas",
""
],
[
"Reiher",
"Markus",
""
]
] | [
-0.10862851142883301,
0.040954310446977615,
-0.03281904384493828,
0.07190047204494476,
0.05927807465195656,
-0.022669237107038498,
0.040224961936473846,
0.05671783164143562,
0.0230972059071064,
-0.004209120292216539,
-0.05656144395470619,
-0.08204010128974915,
-0.008570077829062939,
0.03695967420935631,
0.07706352323293686,
-0.019550228491425514,
0.014651196077466011,
0.040892016142606735,
0.014734691008925438,
0.04809640347957611,
-0.02301502786576748,
-0.0331222303211689,
0.01663128286600113,
-0.078565813601017,
-0.018901310861110687,
0.0048003229312598705,
0.019260799512267113,
0.020415138453245163,
-0.010927318595349789,
-0.024185001850128174,
0.11035972833633423,
-0.020537760108709335,
-0.019140467047691345,
-0.004243995063006878,
0.018356459215283394,
0.04186968505382538,
-0.020069332793354988,
0.06350080668926239,
-0.023677730932831764,
0.003105699084699154,
-0.006352550350129604,
0.07134565711021423,
0.022407596930861473,
0.027639910578727722,
-0.02442629635334015,
-0.12797798216342926,
0.06800162047147751,
0.005764820147305727,
-0.08036288619041443,
-0.05543798580765724,
0.08060258626937866,
0.009309953078627586,
-0.05520109832286835,
-0.007196212653070688,
-0.005115021485835314,
0.08837193250656128,
-0.06095854565501213,
-0.033251166343688965,
-0.0022660146933048964,
-0.07803192734718323,
0.0705079659819603,
-0.07493110001087189,
-0.037673693150281906,
-0.03178020566701889,
0.0026019010692834854,
0.03088056668639183,
0.04741816595196724,
-0.06911921501159668,
0.04407002404332161,
0.06503835320472717,
-0.032463010400533676,
-0.04373333230614662,
-0.08540008217096329,
0.024525510147213936,
0.08175907284021378,
0.051423314958810806,
0.025994716212153435,
0.08885834366083145,
0.04143521189689636,
-0.02836964838206768,
-0.0338863804936409,
0.04003458097577095,
0.02944180928170681,
-0.006780932191759348,
0.029183432459831238,
0.09056901186704636,
-0.02788870595395565,
-0.00818436499685049,
0.039122194051742554,
-0.01215408369898796,
0.03772030770778656,
-0.022564062848687172,
-0.0885847806930542,
-0.06239134445786476,
-0.021740678697824478,
-0.007527992594987154,
0.09162157028913498,
-0.03449968993663788,
0.0760178193449974,
0.06265055388212204,
0.05527343600988388,
0.03535107523202896,
-0.026849808171391487,
-0.07341662049293518,
-0.008980371057987213,
-0.0015537035651504993,
0.012996549718081951,
0.07973536849021912,
-0.08089999109506607,
-0.001968549331650138,
0.012278253212571144,
-0.026370573788881302,
0.0719502717256546,
-0.018298489972949028,
0.0007487997645512223,
0.04819373041391373,
-0.02189030312001705,
-0.02456914633512497,
0.03619915246963501,
0.04867950454354286,
-0.04083333536982536,
0.05494792014360428,
-0.04361652955412865,
-0.010777530260384083,
-0.03452391177415848,
0.036749910563230515,
-0.10285764932632446,
2.607518670534446e-33,
0.0024118092842400074,
0.053699392825365067,
0.08148141950368881,
0.06665504723787308,
0.002609078772366047,
-0.09659166634082794,
0.08377944678068161,
-0.00677186856046319,
-0.07021436840295792,
0.04707346484065056,
0.014869165606796741,
-0.0009357312228530645,
0.04173558950424194,
-0.00599646707996726,
0.02619847282767296,
0.008427578955888748,
0.05095578357577324,
-0.011475340463221073,
0.027352362871170044,
-0.023482883349061012,
-0.03164907544851303,
0.017867552116513252,
-0.005860586650669575,
-0.003144223475828767,
-0.030209973454475403,
0.03272024169564247,
0.02288612350821495,
-0.020545220002532005,
-0.035065557807683945,
0.003932836931198835,
-0.0591023825109005,
0.028284916654229164,
-0.03092987649142742,
0.05260641127824783,
-0.024908747524023056,
0.03489632532000542,
0.020905088633298874,
-0.05456267669796944,
0.07330606877803802,
-0.0810605064034462,
-0.008698823861777782,
0.04438505694270134,
0.0022504518274217844,
0.06359733641147614,
-0.0369521863758564,
-0.014261006377637386,
0.06093376874923706,
0.027043551206588745,
-0.07024110108613968,
-0.01858118548989296,
0.021562591195106506,
0.035089656710624695,
0.04503663256764412,
-0.07705611735582352,
-0.07273903489112854,
0.01653682067990303,
-0.04280158877372742,
0.024706415832042694,
0.059420619159936905,
-0.01084082666784525,
-0.013652801513671875,
0.03871343284845352,
-0.06370104849338531,
0.018924221396446228,
-0.006743795238435268,
0.07055197656154633,
-0.0206065084785223,
-0.07763337343931198,
-0.06323637813329697,
0.07249271869659424,
0.01095742266625166,
0.0357026532292366,
0.08210013806819916,
-0.061256490647792816,
0.07952243834733963,
0.08278079330921173,
0.02115449123084545,
-0.11388137191534042,
0.08120205998420715,
-0.02926264889538288,
-0.010793433524668217,
0.07329336553812027,
0.01818993128836155,
-0.04710456728935242,
-0.06004855036735535,
-0.17612919211387634,
-0.028646282851696014,
-0.04334373027086258,
-0.08255458623170853,
-0.02620655857026577,
-0.037531472742557526,
-0.06387984752655029,
0.01618538238108158,
-0.009652238339185715,
-0.04031188413500786,
-4.4641686513040625e-33,
0.03206155449151993,
-0.0679839476943016,
0.031634602695703506,
-0.0423327200114727,
-0.040349964052438736,
0.012147164903581142,
-0.028480708599090576,
-0.08842755109071732,
0.04480201378464699,
-0.041805449873209,
0.022517504170536995,
-0.03281931206583977,
0.08104462176561356,
0.020904993638396263,
-0.09011079370975494,
0.06713902205228806,
-0.05079800635576248,
-0.06286615878343582,
0.09610904008150101,
0.016407810151576996,
0.04716398939490318,
0.03786841407418251,
-0.10100139677524567,
0.02861013635993004,
-0.0340549610555172,
0.0000358996148861479,
0.009573575109243393,
-0.00642916327342391,
-0.0168350450694561,
0.04197199270129204,
-0.05319907143712044,
-0.047153033316135406,
-0.01807575114071369,
0.013172087259590626,
-0.04969514533877373,
0.08044207096099854,
-0.03331754729151726,
0.04515601322054863,
-0.04148338362574577,
0.009088661521673203,
-0.04263836145401001,
-0.0889405682682991,
0.00979516003280878,
0.04030024632811546,
0.08179163932800293,
-0.00040116708260029554,
-0.02982480637729168,
0.03381584212183952,
-0.044961392879486084,
-0.07241707295179367,
-0.043155644088983536,
0.03584839403629303,
0.008364303037524223,
-0.009849069640040398,
-0.05839984863996506,
0.0808291956782341,
-0.008053437806665897,
-0.03874281048774719,
0.13599584996700287,
0.049469251185655594,
0.002289361087605357,
-0.04003266617655754,
0.057301025837659836,
-0.045563939958810806,
-0.07417496293783188,
-0.006088646128773689,
-0.028648190200328827,
0.003456903388723731,
0.023490890860557556,
-0.07260944694280624,
0.003264697967097163,
0.006776752881705761,
0.09574767202138901,
0.023310838267207146,
0.013342590071260929,
-0.09869464486837387,
0.12593229115009308,
-0.033990293741226196,
-0.04571633040904999,
0.02266264148056507,
0.039271701127290726,
0.017919272184371948,
-0.017911868169903755,
-0.06615012139081955,
0.05773713439702988,
0.03530552238225937,
0.0018192973220720887,
0.07186484336853027,
0.0013518612831830978,
-0.015143446624279022,
0.01031209621578455,
-0.035988666117191315,
0.07268480956554413,
0.07120443880558014,
0.0017003626562654972,
-6.300327015651419e-8,
0.013704686425626278,
0.010769621469080448,
0.0697292611002922,
-0.048858266323804855,
-0.06933385878801346,
0.12814395129680634,
0.05824893340468407,
-0.10091479122638702,
-0.005842679180204868,
-0.08275479823350906,
0.0013557861093431711,
0.003664587391540408,
0.011712540872395039,
0.02736230567097664,
-0.027700455859303474,
0.09171668440103531,
-0.016673550009727478,
-0.01803598180413246,
-0.06914924830198288,
-0.04298175871372223,
-0.006680332589894533,
0.052038148045539856,
-0.028299249708652496,
-0.042966194450855255,
0.050446443259716034,
-0.10803809016942978,
-0.01738137938082218,
-0.0432010181248188,
-0.023059692233800888,
0.03501987084746361,
-0.08981726318597794,
0.05339290201663971,
0.010940853506326675,
0.16778969764709473,
0.041503071784973145,
-0.01980687491595745,
-0.012274893932044506,
-0.017536967992782593,
-0.09206283092498779,
-0.0053656017407774925,
0.000028358695999486372,
-0.04517431557178497,
-0.0506485253572464,
-0.0175461508333683,
-0.044034235179424286,
0.03852153196930885,
-0.04434878006577492,
0.05897432938218117,
0.033886659890413284,
0.07453334331512451,
0.024237725883722305,
-0.06085873767733574,
-0.0773281455039978,
-0.010267351754009724,
-0.04190521687269211,
0.05235849320888519,
-0.07525081932544708,
-0.008871691301465034,
-0.046989377588033676,
-0.08917112648487091,
0.047733914107084274,
-0.007736100349575281,
-0.013661551289260387,
-0.019968349486589432
] | null | null | null | null | null | null | null | [
-0.10862851142883301,
0.040954310446977615,
-0.03281904384493828,
0.07190047204494476,
0.05927807465195656,
-0.022669237107038498,
0.040224961936473846,
0.05671783164143562,
0.0230972059071064,
-0.004209120292216539,
-0.05656144395470619,
-0.08204010128974915,
-0.008570077829062939,
0.03695967420935631,
0.07706352323293686,
-0.019550228491425514,
0.014651196077466011,
0.040892016142606735,
0.014734691008925438,
0.04809640347957611,
-0.02301502786576748,
-0.0331222303211689,
0.01663128286600113,
-0.078565813601017,
-0.018901310861110687,
0.0048003229312598705,
0.019260799512267113,
0.020415138453245163,
-0.010927318595349789,
-0.024185001850128174,
0.11035972833633423,
-0.020537760108709335,
-0.019140467047691345,
-0.004243995063006878,
0.018356459215283394,
0.04186968505382538,
-0.020069332793354988,
0.06350080668926239,
-0.023677730932831764,
0.003105699084699154,
-0.006352550350129604,
0.07134565711021423,
0.022407596930861473,
0.027639910578727722,
-0.02442629635334015,
-0.12797798216342926,
0.06800162047147751,
0.005764820147305727,
-0.08036288619041443,
-0.05543798580765724,
0.08060258626937866,
0.009309953078627586,
-0.05520109832286835,
-0.007196212653070688,
-0.005115021485835314,
0.08837193250656128,
-0.06095854565501213,
-0.033251166343688965,
-0.0022660146933048964,
-0.07803192734718323,
0.0705079659819603,
-0.07493110001087189,
-0.037673693150281906,
-0.03178020566701889,
0.0026019010692834854,
0.03088056668639183,
0.04741816595196724,
-0.06911921501159668,
0.04407002404332161,
0.06503835320472717,
-0.032463010400533676,
-0.04373333230614662,
-0.08540008217096329,
0.024525510147213936,
0.08175907284021378,
0.051423314958810806,
0.025994716212153435,
0.08885834366083145,
0.04143521189689636,
-0.02836964838206768,
-0.0338863804936409,
0.04003458097577095,
0.02944180928170681,
-0.006780932191759348,
0.029183432459831238,
0.09056901186704636,
-0.02788870595395565,
-0.00818436499685049,
0.039122194051742554,
-0.01215408369898796,
0.03772030770778656,
-0.022564062848687172,
-0.0885847806930542,
-0.06239134445786476,
-0.021740678697824478,
-0.007527992594987154,
0.09162157028913498,
-0.03449968993663788,
0.0760178193449974,
0.06265055388212204,
0.05527343600988388,
0.03535107523202896,
-0.026849808171391487,
-0.07341662049293518,
-0.008980371057987213,
-0.0015537035651504993,
0.012996549718081951,
0.07973536849021912,
-0.08089999109506607,
-0.001968549331650138,
0.012278253212571144,
-0.026370573788881302,
0.0719502717256546,
-0.018298489972949028,
0.0007487997645512223,
0.04819373041391373,
-0.02189030312001705,
-0.02456914633512497,
0.03619915246963501,
0.04867950454354286,
-0.04083333536982536,
0.05494792014360428,
-0.04361652955412865,
-0.010777530260384083,
-0.03452391177415848,
0.036749910563230515,
-0.10285764932632446,
2.607518670534446e-33,
0.0024118092842400074,
0.053699392825365067,
0.08148141950368881,
0.06665504723787308,
0.002609078772366047,
-0.09659166634082794,
0.08377944678068161,
-0.00677186856046319,
-0.07021436840295792,
0.04707346484065056,
0.014869165606796741,
-0.0009357312228530645,
0.04173558950424194,
-0.00599646707996726,
0.02619847282767296,
0.008427578955888748,
0.05095578357577324,
-0.011475340463221073,
0.027352362871170044,
-0.023482883349061012,
-0.03164907544851303,
0.017867552116513252,
-0.005860586650669575,
-0.003144223475828767,
-0.030209973454475403,
0.03272024169564247,
0.02288612350821495,
-0.020545220002532005,
-0.035065557807683945,
0.003932836931198835,
-0.0591023825109005,
0.028284916654229164,
-0.03092987649142742,
0.05260641127824783,
-0.024908747524023056,
0.03489632532000542,
0.020905088633298874,
-0.05456267669796944,
0.07330606877803802,
-0.0810605064034462,
-0.008698823861777782,
0.04438505694270134,
0.0022504518274217844,
0.06359733641147614,
-0.0369521863758564,
-0.014261006377637386,
0.06093376874923706,
0.027043551206588745,
-0.07024110108613968,
-0.01858118548989296,
0.021562591195106506,
0.035089656710624695,
0.04503663256764412,
-0.07705611735582352,
-0.07273903489112854,
0.01653682067990303,
-0.04280158877372742,
0.024706415832042694,
0.059420619159936905,
-0.01084082666784525,
-0.013652801513671875,
0.03871343284845352,
-0.06370104849338531,
0.018924221396446228,
-0.006743795238435268,
0.07055197656154633,
-0.0206065084785223,
-0.07763337343931198,
-0.06323637813329697,
0.07249271869659424,
0.01095742266625166,
0.0357026532292366,
0.08210013806819916,
-0.061256490647792816,
0.07952243834733963,
0.08278079330921173,
0.02115449123084545,
-0.11388137191534042,
0.08120205998420715,
-0.02926264889538288,
-0.010793433524668217,
0.07329336553812027,
0.01818993128836155,
-0.04710456728935242,
-0.06004855036735535,
-0.17612919211387634,
-0.028646282851696014,
-0.04334373027086258,
-0.08255458623170853,
-0.02620655857026577,
-0.037531472742557526,
-0.06387984752655029,
0.01618538238108158,
-0.009652238339185715,
-0.04031188413500786,
-4.4641686513040625e-33,
0.03206155449151993,
-0.0679839476943016,
0.031634602695703506,
-0.0423327200114727,
-0.040349964052438736,
0.012147164903581142,
-0.028480708599090576,
-0.08842755109071732,
0.04480201378464699,
-0.041805449873209,
0.022517504170536995,
-0.03281931206583977,
0.08104462176561356,
0.020904993638396263,
-0.09011079370975494,
0.06713902205228806,
-0.05079800635576248,
-0.06286615878343582,
0.09610904008150101,
0.016407810151576996,
0.04716398939490318,
0.03786841407418251,
-0.10100139677524567,
0.02861013635993004,
-0.0340549610555172,
0.0000358996148861479,
0.009573575109243393,
-0.00642916327342391,
-0.0168350450694561,
0.04197199270129204,
-0.05319907143712044,
-0.047153033316135406,
-0.01807575114071369,
0.013172087259590626,
-0.04969514533877373,
0.08044207096099854,
-0.03331754729151726,
0.04515601322054863,
-0.04148338362574577,
0.009088661521673203,
-0.04263836145401001,
-0.0889405682682991,
0.00979516003280878,
0.04030024632811546,
0.08179163932800293,
-0.00040116708260029554,
-0.02982480637729168,
0.03381584212183952,
-0.044961392879486084,
-0.07241707295179367,
-0.043155644088983536,
0.03584839403629303,
0.008364303037524223,
-0.009849069640040398,
-0.05839984863996506,
0.0808291956782341,
-0.008053437806665897,
-0.03874281048774719,
0.13599584996700287,
0.049469251185655594,
0.002289361087605357,
-0.04003266617655754,
0.057301025837659836,
-0.045563939958810806,
-0.07417496293783188,
-0.006088646128773689,
-0.028648190200328827,
0.003456903388723731,
0.023490890860557556,
-0.07260944694280624,
0.003264697967097163,
0.006776752881705761,
0.09574767202138901,
0.023310838267207146,
0.013342590071260929,
-0.09869464486837387,
0.12593229115009308,
-0.033990293741226196,
-0.04571633040904999,
0.02266264148056507,
0.039271701127290726,
0.017919272184371948,
-0.017911868169903755,
-0.06615012139081955,
0.05773713439702988,
0.03530552238225937,
0.0018192973220720887,
0.07186484336853027,
0.0013518612831830978,
-0.015143446624279022,
0.01031209621578455,
-0.035988666117191315,
0.07268480956554413,
0.07120443880558014,
0.0017003626562654972,
-6.300327015651419e-8,
0.013704686425626278,
0.010769621469080448,
0.0697292611002922,
-0.048858266323804855,
-0.06933385878801346,
0.12814395129680634,
0.05824893340468407,
-0.10091479122638702,
-0.005842679180204868,
-0.08275479823350906,
0.0013557861093431711,
0.003664587391540408,
0.011712540872395039,
0.02736230567097664,
-0.027700455859303474,
0.09171668440103531,
-0.016673550009727478,
-0.01803598180413246,
-0.06914924830198288,
-0.04298175871372223,
-0.006680332589894533,
0.052038148045539856,
-0.028299249708652496,
-0.042966194450855255,
0.050446443259716034,
-0.10803809016942978,
-0.01738137938082218,
-0.0432010181248188,
-0.023059692233800888,
0.03501987084746361,
-0.08981726318597794,
0.05339290201663971,
0.010940853506326675,
0.16778969764709473,
0.041503071784973145,
-0.01980687491595745,
-0.012274893932044506,
-0.017536967992782593,
-0.09206283092498779,
-0.0053656017407774925,
0.000028358695999486372,
-0.04517431557178497,
-0.0506485253572464,
-0.0175461508333683,
-0.044034235179424286,
0.03852153196930885,
-0.04434878006577492,
0.05897432938218117,
0.033886659890413284,
0.07453334331512451,
0.024237725883722305,
-0.06085873767733574,
-0.0773281455039978,
-0.010267351754009724,
-0.04190521687269211,
0.05235849320888519,
-0.07525081932544708,
-0.008871691301465034,
-0.046989377588033676,
-0.08917112648487091,
0.047733914107084274,
-0.007736100349575281,
-0.013661551289260387,
-0.019968349486589432
] |
1401.1493 | Oskar Painter J | Amir H. Safavi-Naeini, Jeff T. Hill, Sean Meenehan, Jasper Chan, Simon
Groeblacher, and Oskar Painter | Two-dimensional phononic-photonic bandgap optomechanical crystal cavity | 4 pages, 4 figures | Phys. Rev. Lett. 112, 153603 (2014) | 10.1103/PhysRevLett.112.153603 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the fabrication and characterization of an artificial crystal
structure formed from a thin-film of silicon which has a full phononic bandgap
for microwave X-band phonons and a two-dimensional pseudo-bandgap for
near-infrared photons. An engineered defect in the crystal structure is used to
localize optical and mechanical resonances in the bandgap of the planar
crystal. Two-tone optical spectroscopy is used to characterize the cavity
system, showing a large vacuum coupling rate of 220kHz between the fundamental
optical cavity resonance at 195THz and a co-localized mechanical resonance at
9.3GHz.
| [
{
"created": "Tue, 7 Jan 2014 20:40:05 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Safavi-Naeini",
"Amir H.",
""
],
[
"Hill",
"Jeff T.",
""
],
[
"Meenehan",
"Sean",
""
],
[
"Chan",
"Jasper",
""
],
[
"Groeblacher",
"Simon",
""
],
[
"Painter",
"Oskar",
""
]
] | [
0.010459210723638535,
0.033680956810712814,
-0.015231849625706673,
-0.019029516726732254,
-0.08651729673147202,
-0.04810705408453941,
0.02373717725276947,
0.029440246522426605,
0.0472235381603241,
-0.04434237629175186,
0.05377088114619255,
-0.03959425911307335,
-0.05506189912557602,
-0.023067757487297058,
0.045813411474227905,
0.000999073265120387,
0.05334167554974556,
-0.03190312907099724,
0.03579380735754967,
0.01119726151227951,
0.02233772538602352,
-0.05719686299562454,
-0.04205759987235069,
-0.08331159502267838,
-0.005528908688575029,
0.03418409079313278,
0.07659724354743958,
0.02125266194343567,
0.02886415272951126,
-0.02540270797908306,
0.020784644410014153,
0.02157103642821312,
-0.052778977900743484,
0.004018633626401424,
0.024079132825136185,
-0.015366475097835064,
0.10833483189344406,
-0.051041074097156525,
-0.07931505143642426,
-0.06148107722401619,
0.02937452495098114,
0.036755047738552094,
0.04940381646156311,
0.04828396439552307,
-0.039573341608047485,
0.02273329347372055,
0.004680256824940443,
0.029905153438448906,
-0.07497817277908325,
-0.12667341530323029,
-0.06849535554647446,
0.028570866212248802,
0.04027799144387245,
0.09336207807064056,
-0.01985194906592369,
0.050487011671066284,
0.02475123293697834,
0.0009796228259801865,
-0.01100916601717472,
-0.031910572201013565,
0.05746474117040634,
-0.034931231290102005,
-0.008765014819800854,
-0.0033478436525911093,
-0.017752476036548615,
0.05649278685450554,
0.020235257223248482,
-0.07451323419809341,
-0.0129574965685606,
0.029254823923110962,
-0.02469784952700138,
0.007879910059273243,
0.0029858113266527653,
0.043138861656188965,
0.06858088076114655,
0.009605913423001766,
0.059030551463365555,
0.05246218293905258,
0.03671805560588837,
-0.03915025293827057,
-0.022887103259563446,
-0.01678251288831234,
0.009456614963710308,
0.07538870722055435,
0.051151543855667114,
-0.043407659977674484,
-0.039819613099098206,
-0.035018034279346466,
-0.08071646839380264,
-0.011834222823381424,
-0.022480908781290054,
0.04046374559402466,
-0.06735344976186752,
-0.0618802011013031,
-0.05296807363629341,
0.07134900242090225,
-0.004591855686157942,
-0.025382772088050842,
0.027990810573101044,
-0.002364186802878976,
-0.004578650463372469,
0.0388043150305748,
0.03798740729689598,
0.06533517688512802,
-0.09140776097774506,
-0.019347723573446274,
-0.017978938296437263,
0.040710121393203735,
-0.03505636006593704,
-0.05796818807721138,
-0.014368792064487934,
0.08329718559980392,
-0.06587464362382889,
-0.017532724887132645,
0.0007290781941264868,
-0.008753480389714241,
-0.03651029244065285,
0.05009919032454491,
0.06409218907356262,
-0.04583615064620972,
-0.00765512278303504,
-0.016735728830099106,
-0.12333831936120987,
0.009619477204978466,
-0.0012707882560789585,
-0.09474995732307434,
-0.14354370534420013,
-2.2864653116327108e-34,
0.01541044283658266,
0.09354878962039948,
-0.019041065126657486,
-0.09737376868724823,
-0.09683551639318466,
-0.10905353724956512,
0.07570990175008774,
0.04581966623663902,
-0.027724826708436012,
-0.03569412603974342,
0.0894242599606514,
-0.10316050052642822,
0.009163894690573215,
-0.03451074659824371,
0.0535602942109108,
-0.024355532601475716,
-0.00149080331902951,
-0.04004213213920593,
0.013437747023999691,
0.022431572899222374,
-0.006972079165279865,
0.025410063564777374,
0.06766462326049805,
0.06983267515897751,
0.04772227630019188,
-0.03278949856758118,
0.020978746935725212,
0.0071273199282586575,
-0.023917945101857185,
-0.019128046929836273,
0.059382807463407516,
0.0774676576256752,
0.05658053234219551,
0.033418841660022736,
0.042312223464250565,
-0.003706234972923994,
0.01568298600614071,
0.02792096696794033,
0.09226911514997482,
0.04964183643460274,
0.051841963082551956,
0.0038208630867302418,
-0.03540113568305969,
0.16861125826835632,
0.04858545958995819,
-0.03250163421034813,
-0.08491849154233932,
-0.10883091390132904,
0.07185573130846024,
-0.05480930581688881,
-0.020979367196559906,
-0.054683540016412735,
-0.02109582908451557,
0.04903621971607208,
0.035850122570991516,
-0.04886834695935249,
-0.00646970933303237,
-0.04636724665760994,
-0.05303826183080673,
-0.0725836232304573,
0.08413005620241165,
-0.06749644130468369,
0.08525655418634415,
0.08557775616645813,
-0.009977512061595917,
-0.013925652951002121,
0.07044241577386856,
0.000031759354897076264,
-0.010525466874241829,
-0.0005940388655290008,
-0.0006008149939589202,
0.012167630717158318,
0.03924247995018959,
-0.05782049894332886,
0.03594423085451126,
-0.028626466169953346,
0.03370964154601097,
-0.027886545285582542,
0.07366665452718735,
0.08300814032554626,
0.04037608578801155,
-0.03787089139223099,
-0.06757040321826935,
-0.008188426494598389,
-0.07233187556266785,
0.03023984283208847,
0.014868651516735554,
-0.029660679399967194,
0.04731137678027153,
-0.03951404616236687,
0.004830833524465561,
-0.0647173747420311,
-0.04815726727247238,
0.021164176985621452,
-0.10579953342676163,
-1.4962562697769653e-33,
0.09416624903678894,
-0.05061157047748566,
0.1396476775407791,
0.0009009107016026974,
0.046226851642131805,
0.0058297025971114635,
0.005740142893046141,
0.04210460186004639,
-0.011218279600143433,
0.024442331865429878,
0.10332787036895752,
0.022696083411574364,
0.027592267841100693,
-0.060711417347192764,
-0.07353608310222626,
0.04550112411379814,
0.10878264158964157,
-0.0850379541516304,
0.031860969960689545,
0.0030781514942646027,
-0.005522375460714102,
0.015921417623758316,
0.04347972944378853,
-0.019930383190512657,
0.010262252762913704,
-0.039269909262657166,
0.04727425426244736,
-0.017156334593892097,
-0.06025233119726181,
-0.007997710257768631,
-0.009446193464100361,
-0.046646177768707275,
0.016940932720899582,
-0.023553362116217613,
0.05985588580369949,
0.005070043727755547,
0.01028253324329853,
-0.029906639829277992,
-0.02379346452653408,
-0.07886193692684174,
0.05653863400220871,
0.015290404669940472,
-0.08625052124261856,
0.015016540884971619,
-0.03426492586731911,
0.02966577187180519,
-0.011430881917476654,
-0.08830920606851578,
-0.12906256318092346,
-0.049732740968465805,
0.022021453827619553,
0.015492567792534828,
0.02456333301961422,
-0.013121098279953003,
-0.02029801532626152,
0.06490535289049149,
0.03726927936077118,
0.027703113853931427,
0.0850914865732193,
0.08373511582612991,
0.01947510801255703,
0.07229150831699371,
0.05605286732316017,
-0.020030615851283073,
0.0033320551738142967,
0.07300412654876709,
0.03638555854558945,
0.044270750135183334,
0.02158743515610695,
0.04837285727262497,
-0.05685347318649292,
0.02344592846930027,
-0.05921979248523712,
0.03290877118706703,
-0.035592883825302124,
0.04686054214835167,
0.00021148801897652447,
-0.024571100249886513,
-0.006190469954162836,
0.07293756306171417,
0.05442498251795769,
0.030307183042168617,
0.017210211604833603,
-0.04201740771532059,
0.05928010866045952,
-0.044527675956487656,
0.005990919191390276,
0.11986919492483139,
-0.0579707957804203,
0.028918983414769173,
0.0657784566283226,
-0.008308034390211105,
0.06588104367256165,
-0.08112671226263046,
0.09217523038387299,
-4.429258737559394e-8,
-0.010510667227208614,
-0.04085150733590126,
0.007616082206368446,
0.01157800480723381,
-0.0053976159542799,
-0.08991050720214844,
0.019510429352521896,
-0.1159912496805191,
0.024219665676355362,
0.004560268484055996,
-0.07378539443016052,
-0.062054455280303955,
-0.026182839646935463,
-0.006352479103952646,
0.006665138062089682,
-0.03154306858778,
-0.012364341877400875,
0.013985401019454002,
-0.004969614092260599,
-0.01358834933489561,
0.005019763484597206,
0.022309431806206703,
0.09765716642141342,
-0.060680706053972244,
0.03053724579513073,
0.04967620223760605,
-0.08705213665962219,
-0.054045066237449646,
0.022603878751397133,
0.016431448981165886,
-0.04274791479110718,
-0.01778099499642849,
0.05415210872888565,
-0.0020713924895972013,
-0.013954713940620422,
-0.06532646715641022,
-0.07194067537784576,
-0.12592412531375885,
-0.015137618407607079,
-0.1249283105134964,
0.03873155638575554,
0.012358368374407291,
-0.012143670581281185,
0.07526697218418121,
0.008624754846096039,
-0.002994815818965435,
0.013846542686223984,
-0.036184508353471756,
-0.027407994493842125,
0.04757189005613327,
0.015072544105350971,
-0.020061589777469635,
-0.0029447388369590044,
-0.08949019759893417,
-0.0990009531378746,
-0.015971878543496132,
0.0318717397749424,
0.040942274034023285,
-0.04516568034887314,
0.008928789757192135,
-0.01700444146990776,
-0.07485564798116684,
-0.011747307144105434,
0.019824650138616562
] | null | null | null | null | null | null | null | [
0.010459210723638535,
0.033680956810712814,
-0.015231849625706673,
-0.019029516726732254,
-0.08651729673147202,
-0.04810705408453941,
0.02373717725276947,
0.029440246522426605,
0.0472235381603241,
-0.04434237629175186,
0.05377088114619255,
-0.03959425911307335,
-0.05506189912557602,
-0.023067757487297058,
0.045813411474227905,
0.000999073265120387,
0.05334167554974556,
-0.03190312907099724,
0.03579380735754967,
0.01119726151227951,
0.02233772538602352,
-0.05719686299562454,
-0.04205759987235069,
-0.08331159502267838,
-0.005528908688575029,
0.03418409079313278,
0.07659724354743958,
0.02125266194343567,
0.02886415272951126,
-0.02540270797908306,
0.020784644410014153,
0.02157103642821312,
-0.052778977900743484,
0.004018633626401424,
0.024079132825136185,
-0.015366475097835064,
0.10833483189344406,
-0.051041074097156525,
-0.07931505143642426,
-0.06148107722401619,
0.02937452495098114,
0.036755047738552094,
0.04940381646156311,
0.04828396439552307,
-0.039573341608047485,
0.02273329347372055,
0.004680256824940443,
0.029905153438448906,
-0.07497817277908325,
-0.12667341530323029,
-0.06849535554647446,
0.028570866212248802,
0.04027799144387245,
0.09336207807064056,
-0.01985194906592369,
0.050487011671066284,
0.02475123293697834,
0.0009796228259801865,
-0.01100916601717472,
-0.031910572201013565,
0.05746474117040634,
-0.034931231290102005,
-0.008765014819800854,
-0.0033478436525911093,
-0.017752476036548615,
0.05649278685450554,
0.020235257223248482,
-0.07451323419809341,
-0.0129574965685606,
0.029254823923110962,
-0.02469784952700138,
0.007879910059273243,
0.0029858113266527653,
0.043138861656188965,
0.06858088076114655,
0.009605913423001766,
0.059030551463365555,
0.05246218293905258,
0.03671805560588837,
-0.03915025293827057,
-0.022887103259563446,
-0.01678251288831234,
0.009456614963710308,
0.07538870722055435,
0.051151543855667114,
-0.043407659977674484,
-0.039819613099098206,
-0.035018034279346466,
-0.08071646839380264,
-0.011834222823381424,
-0.022480908781290054,
0.04046374559402466,
-0.06735344976186752,
-0.0618802011013031,
-0.05296807363629341,
0.07134900242090225,
-0.004591855686157942,
-0.025382772088050842,
0.027990810573101044,
-0.002364186802878976,
-0.004578650463372469,
0.0388043150305748,
0.03798740729689598,
0.06533517688512802,
-0.09140776097774506,
-0.019347723573446274,
-0.017978938296437263,
0.040710121393203735,
-0.03505636006593704,
-0.05796818807721138,
-0.014368792064487934,
0.08329718559980392,
-0.06587464362382889,
-0.017532724887132645,
0.0007290781941264868,
-0.008753480389714241,
-0.03651029244065285,
0.05009919032454491,
0.06409218907356262,
-0.04583615064620972,
-0.00765512278303504,
-0.016735728830099106,
-0.12333831936120987,
0.009619477204978466,
-0.0012707882560789585,
-0.09474995732307434,
-0.14354370534420013,
-2.2864653116327108e-34,
0.01541044283658266,
0.09354878962039948,
-0.019041065126657486,
-0.09737376868724823,
-0.09683551639318466,
-0.10905353724956512,
0.07570990175008774,
0.04581966623663902,
-0.027724826708436012,
-0.03569412603974342,
0.0894242599606514,
-0.10316050052642822,
0.009163894690573215,
-0.03451074659824371,
0.0535602942109108,
-0.024355532601475716,
-0.00149080331902951,
-0.04004213213920593,
0.013437747023999691,
0.022431572899222374,
-0.006972079165279865,
0.025410063564777374,
0.06766462326049805,
0.06983267515897751,
0.04772227630019188,
-0.03278949856758118,
0.020978746935725212,
0.0071273199282586575,
-0.023917945101857185,
-0.019128046929836273,
0.059382807463407516,
0.0774676576256752,
0.05658053234219551,
0.033418841660022736,
0.042312223464250565,
-0.003706234972923994,
0.01568298600614071,
0.02792096696794033,
0.09226911514997482,
0.04964183643460274,
0.051841963082551956,
0.0038208630867302418,
-0.03540113568305969,
0.16861125826835632,
0.04858545958995819,
-0.03250163421034813,
-0.08491849154233932,
-0.10883091390132904,
0.07185573130846024,
-0.05480930581688881,
-0.020979367196559906,
-0.054683540016412735,
-0.02109582908451557,
0.04903621971607208,
0.035850122570991516,
-0.04886834695935249,
-0.00646970933303237,
-0.04636724665760994,
-0.05303826183080673,
-0.0725836232304573,
0.08413005620241165,
-0.06749644130468369,
0.08525655418634415,
0.08557775616645813,
-0.009977512061595917,
-0.013925652951002121,
0.07044241577386856,
0.000031759354897076264,
-0.010525466874241829,
-0.0005940388655290008,
-0.0006008149939589202,
0.012167630717158318,
0.03924247995018959,
-0.05782049894332886,
0.03594423085451126,
-0.028626466169953346,
0.03370964154601097,
-0.027886545285582542,
0.07366665452718735,
0.08300814032554626,
0.04037608578801155,
-0.03787089139223099,
-0.06757040321826935,
-0.008188426494598389,
-0.07233187556266785,
0.03023984283208847,
0.014868651516735554,
-0.029660679399967194,
0.04731137678027153,
-0.03951404616236687,
0.004830833524465561,
-0.0647173747420311,
-0.04815726727247238,
0.021164176985621452,
-0.10579953342676163,
-1.4962562697769653e-33,
0.09416624903678894,
-0.05061157047748566,
0.1396476775407791,
0.0009009107016026974,
0.046226851642131805,
0.0058297025971114635,
0.005740142893046141,
0.04210460186004639,
-0.011218279600143433,
0.024442331865429878,
0.10332787036895752,
0.022696083411574364,
0.027592267841100693,
-0.060711417347192764,
-0.07353608310222626,
0.04550112411379814,
0.10878264158964157,
-0.0850379541516304,
0.031860969960689545,
0.0030781514942646027,
-0.005522375460714102,
0.015921417623758316,
0.04347972944378853,
-0.019930383190512657,
0.010262252762913704,
-0.039269909262657166,
0.04727425426244736,
-0.017156334593892097,
-0.06025233119726181,
-0.007997710257768631,
-0.009446193464100361,
-0.046646177768707275,
0.016940932720899582,
-0.023553362116217613,
0.05985588580369949,
0.005070043727755547,
0.01028253324329853,
-0.029906639829277992,
-0.02379346452653408,
-0.07886193692684174,
0.05653863400220871,
0.015290404669940472,
-0.08625052124261856,
0.015016540884971619,
-0.03426492586731911,
0.02966577187180519,
-0.011430881917476654,
-0.08830920606851578,
-0.12906256318092346,
-0.049732740968465805,
0.022021453827619553,
0.015492567792534828,
0.02456333301961422,
-0.013121098279953003,
-0.02029801532626152,
0.06490535289049149,
0.03726927936077118,
0.027703113853931427,
0.0850914865732193,
0.08373511582612991,
0.01947510801255703,
0.07229150831699371,
0.05605286732316017,
-0.020030615851283073,
0.0033320551738142967,
0.07300412654876709,
0.03638555854558945,
0.044270750135183334,
0.02158743515610695,
0.04837285727262497,
-0.05685347318649292,
0.02344592846930027,
-0.05921979248523712,
0.03290877118706703,
-0.035592883825302124,
0.04686054214835167,
0.00021148801897652447,
-0.024571100249886513,
-0.006190469954162836,
0.07293756306171417,
0.05442498251795769,
0.030307183042168617,
0.017210211604833603,
-0.04201740771532059,
0.05928010866045952,
-0.044527675956487656,
0.005990919191390276,
0.11986919492483139,
-0.0579707957804203,
0.028918983414769173,
0.0657784566283226,
-0.008308034390211105,
0.06588104367256165,
-0.08112671226263046,
0.09217523038387299,
-4.429258737559394e-8,
-0.010510667227208614,
-0.04085150733590126,
0.007616082206368446,
0.01157800480723381,
-0.0053976159542799,
-0.08991050720214844,
0.019510429352521896,
-0.1159912496805191,
0.024219665676355362,
0.004560268484055996,
-0.07378539443016052,
-0.062054455280303955,
-0.026182839646935463,
-0.006352479103952646,
0.006665138062089682,
-0.03154306858778,
-0.012364341877400875,
0.013985401019454002,
-0.004969614092260599,
-0.01358834933489561,
0.005019763484597206,
0.022309431806206703,
0.09765716642141342,
-0.060680706053972244,
0.03053724579513073,
0.04967620223760605,
-0.08705213665962219,
-0.054045066237449646,
0.022603878751397133,
0.016431448981165886,
-0.04274791479110718,
-0.01778099499642849,
0.05415210872888565,
-0.0020713924895972013,
-0.013954713940620422,
-0.06532646715641022,
-0.07194067537784576,
-0.12592412531375885,
-0.015137618407607079,
-0.1249283105134964,
0.03873155638575554,
0.012358368374407291,
-0.012143670581281185,
0.07526697218418121,
0.008624754846096039,
-0.002994815818965435,
0.013846542686223984,
-0.036184508353471756,
-0.027407994493842125,
0.04757189005613327,
0.015072544105350971,
-0.020061589777469635,
-0.0029447388369590044,
-0.08949019759893417,
-0.0990009531378746,
-0.015971878543496132,
0.0318717397749424,
0.040942274034023285,
-0.04516568034887314,
0.008928789757192135,
-0.01700444146990776,
-0.07485564798116684,
-0.011747307144105434,
0.019824650138616562
] |
1401.1495 | Howard Milchberg | J. K. Wahlstrand, N. Jhajj, E. W. Rosenthal, S. Zahedpour, and H. M.
Milchberg | Direct measurement of the acoustic waves generated by femtosecond
filaments in air | null | null | 10.1364/OL.39.001290 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present direct measurements of the gas acoustic dynamics following
interaction of spatial single- and multi-mode 50 fs, 800 nm pulses in air at 10
Hz and 1 kHz repetition rates. Results are in excellent agreement with
hydrodynamic simulations. Under no conditions for single filaments do we find
on-axis enhancement of gas density; this occurs only with multi-filaments. We
also investigate the propagation of probe beams in the gas density profile
induced by a single extended filament. We find that light trapping in the
expanding annular acoustic wave can create the impression of on-axis guiding in
a limited temporal window.
| [
{
"created": "Tue, 7 Jan 2014 20:50:32 GMT",
"version": "v1"
}
] | 2015-10-16 | [
[
"Wahlstrand",
"J. K.",
""
],
[
"Jhajj",
"N.",
""
],
[
"Rosenthal",
"E. W.",
""
],
[
"Zahedpour",
"S.",
""
],
[
"Milchberg",
"H. M.",
""
]
] | [
0.006732862442731857,
-0.07892748713493347,
0.017350003123283386,
0.019649315625429153,
-0.03355112671852112,
-0.01905529573559761,
0.013226098380982876,
-0.1035284623503685,
-0.041844215244054794,
-0.05319586768746376,
0.0014125530142337084,
0.00020593231602106243,
-0.10408610850572586,
-0.005491997115314007,
0.04465911537408829,
0.02565445937216282,
0.029854577034711838,
-0.022369060665369034,
0.010429691523313522,
-0.02333136647939682,
0.05459141358733177,
-0.06664446741342545,
0.060679953545331955,
0.003528479253873229,
0.07378748804330826,
-0.04059499874711037,
0.025794774293899536,
-0.04446455463767052,
-0.04422714188694954,
0.050329722464084625,
0.07191142439842224,
0.003566805273294449,
-0.08634171634912491,
0.05107027292251587,
0.07843057811260223,
-0.1799052208662033,
-0.00006570154073415324,
0.0027083924505859613,
-0.007563493214547634,
0.006990252994000912,
-0.017770472913980484,
0.007541730999946594,
-0.01857275515794754,
-0.016022659838199615,
-0.02072681486606598,
-0.07540105283260345,
0.046166010200977325,
-0.03695639222860336,
-0.021215064451098442,
0.026443054899573326,
-0.023216862231492996,
-0.021964440122246742,
0.029608318582177162,
0.00709284283220768,
0.061718400567770004,
0.05036640167236328,
0.0033615222200751305,
-0.03714694082736969,
0.005844943691045046,
-0.1298706829547882,
-0.02286825142800808,
0.05936447158455849,
-0.00928468070924282,
-0.007565474137663841,
-0.002592663746327162,
-0.04707368463277817,
0.026086529716849327,
0.07492619007825851,
0.056204576045274734,
-0.0032815830782055855,
-0.023043055087327957,
0.014832216314971447,
0.06816567480564117,
0.03343882039189339,
0.07431099563837051,
-0.031022103503346443,
-0.07378580421209335,
0.032223328948020935,
0.014028821140527725,
0.024312669411301613,
0.059546928852796555,
-0.03283113241195679,
-0.07007647305727005,
-0.08483204245567322,
-0.101510189473629,
0.06638486683368683,
0.06536916643381119,
0.023106029257178307,
-0.05951539799571037,
-0.008791436441242695,
-0.08648431301116943,
-0.07781177014112473,
-0.04939316213130951,
0.01549533475190401,
0.005016148556023836,
-0.12556925415992737,
0.020030595362186432,
-0.01956651359796524,
0.08294876664876938,
-0.032112184911966324,
0.02447913959622383,
-0.0603889636695385,
0.013135119341313839,
0.06616457551717758,
-0.05037585273385048,
0.028079908341169357,
0.021483907476067543,
0.12771323323249817,
-0.053201619535684586,
0.016694990918040276,
0.020359434187412262,
-0.00886756181716919,
-0.005311572924256325,
0.015337103977799416,
0.08595936745405197,
-0.00014843135431874543,
-0.08325862139463425,
0.044902510941028595,
0.020498277619481087,
-0.028530290350317955,
-0.023987092077732086,
-0.02156374789774418,
-0.034648921340703964,
0.02607186697423458,
0.013174484483897686,
0.05672813206911087,
-0.10003950446844101,
4.966156442489516e-34,
0.026075633242726326,
-0.0016045798547565937,
-0.05568963289260864,
-0.027875887230038643,
-0.0325838178396225,
-0.009435520507395267,
0.06140243262052536,
0.032876696437597275,
0.0011466048890724778,
0.07157092541456223,
-0.03876296803355217,
0.09413054585456848,
0.038822367787361145,
-0.044033538550138474,
-0.10469657182693481,
-0.03628423064947128,
0.04268815368413925,
0.10519828647375107,
-0.08110029250383377,
0.05029154196381569,
-0.038148291409015656,
0.058590780943632126,
-0.005978067871183157,
-0.040226809680461884,
0.013562052510678768,
-0.0003724378766492009,
-0.08623995631933212,
-0.024895645678043365,
0.009501728229224682,
0.03763347491621971,
-0.0015202158829197288,
0.027321098372340202,
-0.024194179102778435,
-0.02859685756266117,
0.02042442187666893,
0.050410110503435135,
0.03746313974261284,
0.03638257086277008,
-0.10129614919424057,
-0.003587455488741398,
-0.10631180554628372,
-0.019927838817238808,
0.003918591886758804,
-0.011102991178631783,
-0.014888502657413483,
0.019553929567337036,
-0.09928441792726517,
0.11495786160230637,
0.03238558769226074,
-0.05647396296262741,
0.006189004052430391,
0.004278919659554958,
-0.003562236437574029,
0.05855521187186241,
0.13122965395450592,
-0.010292253457009792,
0.07111232727766037,
-0.07909929752349854,
0.02909591980278492,
-0.07222622632980347,
-0.006389865651726723,
-0.044077061116695404,
0.03756816312670708,
-0.04569191485643387,
0.01150589156895876,
0.04201434925198555,
-0.07091329991817474,
0.007444130722433329,
0.09506957232952118,
0.038867320865392685,
-0.0202336348593235,
0.05439303442835808,
0.0037814658135175705,
-0.014484022743999958,
0.03639504313468933,
0.024191759526729584,
0.04882027208805084,
0.006957950070500374,
0.012887455523014069,
0.08734383434057236,
0.00045763939851894975,
-0.08525615930557251,
0.052994582802057266,
-0.0023138343822211027,
-0.004316763952374458,
0.07267080992460251,
-0.06970269978046417,
-0.0038643728476017714,
-0.032273393124341965,
-0.01508740521967411,
-0.021616637706756592,
-0.03664466366171837,
0.0872558206319809,
-0.06303514540195465,
0.0035200146958231926,
-2.847599983707459e-33,
0.026466578245162964,
0.05079665780067444,
-0.04262450709939003,
-0.007194020319730043,
0.05389704182744026,
0.1397448033094406,
0.043222539126873016,
0.034375742077827454,
-0.037440743297338486,
-0.07220437377691269,
0.05726184695959091,
0.015938999131321907,
-0.02282853238284588,
0.051648423075675964,
0.028061745688319206,
0.0032586415763944387,
-0.005526564083993435,
-0.07533072680234909,
0.10204815864562988,
0.09513632208108902,
0.018684033304452896,
-0.025587832555174828,
0.08120826631784439,
0.04251571744680405,
-0.01444429624825716,
0.02284945175051689,
-0.01905650645494461,
-0.02563868649303913,
-0.025740448385477066,
-0.06434525549411774,
-0.02911554090678692,
0.04846348986029625,
0.054249297827482224,
-0.06816019862890244,
0.03178294748067856,
0.01742508076131344,
0.06333824247121811,
0.0032462093513458967,
0.013969838619232178,
-0.050330184400081635,
-0.06025755777955055,
0.054687611758708954,
0.05209696292877197,
-0.01432296447455883,
-0.07836736738681793,
0.10386702418327332,
0.018082372844219208,
-0.022963762283325195,
-0.02533588744699955,
-0.008596919476985931,
-0.05257372558116913,
0.001364880590699613,
0.06796882301568985,
-0.03929742053151131,
-0.0003465289482846856,
0.009154684841632843,
0.02749030850827694,
0.01946002058684826,
0.023834457620978355,
0.01799957826733589,
-0.02815994806587696,
-0.0512007437646389,
0.06252121925354004,
-0.0474667027592659,
-0.007921513170003891,
-0.02874021604657173,
0.014211197383701801,
-0.04701459780335426,
0.0071570598520338535,
-0.04692532867193222,
0.014517176896333694,
-0.03878844529390335,
-0.009209833107888699,
0.08000998198986053,
-0.0009085306082852185,
0.01062673982232809,
-0.018026305362582207,
-0.15013250708580017,
-0.07349186390638351,
0.06070607155561447,
-0.00242041889578104,
-0.009845182299613953,
-0.024409223347902298,
-0.029991641640663147,
0.056961532682180405,
0.010471127927303314,
-0.0701073557138443,
-0.0728750005364418,
0.022951828315854073,
0.018810078501701355,
0.07288656383752823,
0.06061522290110588,
0.031274110078811646,
-0.16305288672447205,
0.08713547140359879,
-4.58573836681353e-8,
-0.041566792875528336,
0.013314039446413517,
0.026307368651032448,
0.0191408172249794,
0.025373084470629692,
0.05040255934000015,
-0.020362526178359985,
0.04763905331492424,
0.013682560995221138,
-0.09885432571172714,
0.04515703395009041,
-0.0355917252600193,
0.08942089974880219,
0.02868899144232273,
0.0380358062684536,
-0.10542330145835876,
-0.03619365021586418,
-0.06193296238780022,
-0.028369363397359848,
-0.047655027359724045,
-0.014294820837676525,
0.04640503227710724,
-0.014459207653999329,
-0.008217602036893368,
-0.01640421710908413,
0.060283564031124115,
-0.027292432263493538,
-0.003550392109900713,
0.0416436567902565,
-0.025567343458533287,
-0.025394225493073463,
-0.01317472942173481,
-0.0645466148853302,
0.03904500603675842,
-0.11246278882026672,
0.023059921339154243,
-0.019899414852261543,
0.06197135150432587,
-0.1288541704416275,
-0.07863795757293701,
-0.006020250264555216,
-0.021849170327186584,
-0.011663205921649933,
-0.011778450571000576,
-0.01605452597141266,
0.0428241528570652,
0.0457160510122776,
-0.028378063812851906,
-0.10098770260810852,
0.024173520505428314,
-0.05030736327171326,
0.057797711342573166,
0.026830976828932762,
-0.032727599143981934,
0.036959871649742126,
0.06242106109857559,
-0.02490406669676304,
0.08127846568822861,
0.008812393061816692,
-0.00820635911077261,
-0.014681191183626652,
0.009827972389757633,
-0.07069924473762512,
-0.010562633164227009
] | null | null | null | null | null | null | null | [
0.006732862442731857,
-0.07892748713493347,
0.017350003123283386,
0.019649315625429153,
-0.03355112671852112,
-0.01905529573559761,
0.013226098380982876,
-0.1035284623503685,
-0.041844215244054794,
-0.05319586768746376,
0.0014125530142337084,
0.00020593231602106243,
-0.10408610850572586,
-0.005491997115314007,
0.04465911537408829,
0.02565445937216282,
0.029854577034711838,
-0.022369060665369034,
0.010429691523313522,
-0.02333136647939682,
0.05459141358733177,
-0.06664446741342545,
0.060679953545331955,
0.003528479253873229,
0.07378748804330826,
-0.04059499874711037,
0.025794774293899536,
-0.04446455463767052,
-0.04422714188694954,
0.050329722464084625,
0.07191142439842224,
0.003566805273294449,
-0.08634171634912491,
0.05107027292251587,
0.07843057811260223,
-0.1799052208662033,
-0.00006570154073415324,
0.0027083924505859613,
-0.007563493214547634,
0.006990252994000912,
-0.017770472913980484,
0.007541730999946594,
-0.01857275515794754,
-0.016022659838199615,
-0.02072681486606598,
-0.07540105283260345,
0.046166010200977325,
-0.03695639222860336,
-0.021215064451098442,
0.026443054899573326,
-0.023216862231492996,
-0.021964440122246742,
0.029608318582177162,
0.00709284283220768,
0.061718400567770004,
0.05036640167236328,
0.0033615222200751305,
-0.03714694082736969,
0.005844943691045046,
-0.1298706829547882,
-0.02286825142800808,
0.05936447158455849,
-0.00928468070924282,
-0.007565474137663841,
-0.002592663746327162,
-0.04707368463277817,
0.026086529716849327,
0.07492619007825851,
0.056204576045274734,
-0.0032815830782055855,
-0.023043055087327957,
0.014832216314971447,
0.06816567480564117,
0.03343882039189339,
0.07431099563837051,
-0.031022103503346443,
-0.07378580421209335,
0.032223328948020935,
0.014028821140527725,
0.024312669411301613,
0.059546928852796555,
-0.03283113241195679,
-0.07007647305727005,
-0.08483204245567322,
-0.101510189473629,
0.06638486683368683,
0.06536916643381119,
0.023106029257178307,
-0.05951539799571037,
-0.008791436441242695,
-0.08648431301116943,
-0.07781177014112473,
-0.04939316213130951,
0.01549533475190401,
0.005016148556023836,
-0.12556925415992737,
0.020030595362186432,
-0.01956651359796524,
0.08294876664876938,
-0.032112184911966324,
0.02447913959622383,
-0.0603889636695385,
0.013135119341313839,
0.06616457551717758,
-0.05037585273385048,
0.028079908341169357,
0.021483907476067543,
0.12771323323249817,
-0.053201619535684586,
0.016694990918040276,
0.020359434187412262,
-0.00886756181716919,
-0.005311572924256325,
0.015337103977799416,
0.08595936745405197,
-0.00014843135431874543,
-0.08325862139463425,
0.044902510941028595,
0.020498277619481087,
-0.028530290350317955,
-0.023987092077732086,
-0.02156374789774418,
-0.034648921340703964,
0.02607186697423458,
0.013174484483897686,
0.05672813206911087,
-0.10003950446844101,
4.966156442489516e-34,
0.026075633242726326,
-0.0016045798547565937,
-0.05568963289260864,
-0.027875887230038643,
-0.0325838178396225,
-0.009435520507395267,
0.06140243262052536,
0.032876696437597275,
0.0011466048890724778,
0.07157092541456223,
-0.03876296803355217,
0.09413054585456848,
0.038822367787361145,
-0.044033538550138474,
-0.10469657182693481,
-0.03628423064947128,
0.04268815368413925,
0.10519828647375107,
-0.08110029250383377,
0.05029154196381569,
-0.038148291409015656,
0.058590780943632126,
-0.005978067871183157,
-0.040226809680461884,
0.013562052510678768,
-0.0003724378766492009,
-0.08623995631933212,
-0.024895645678043365,
0.009501728229224682,
0.03763347491621971,
-0.0015202158829197288,
0.027321098372340202,
-0.024194179102778435,
-0.02859685756266117,
0.02042442187666893,
0.050410110503435135,
0.03746313974261284,
0.03638257086277008,
-0.10129614919424057,
-0.003587455488741398,
-0.10631180554628372,
-0.019927838817238808,
0.003918591886758804,
-0.011102991178631783,
-0.014888502657413483,
0.019553929567337036,
-0.09928441792726517,
0.11495786160230637,
0.03238558769226074,
-0.05647396296262741,
0.006189004052430391,
0.004278919659554958,
-0.003562236437574029,
0.05855521187186241,
0.13122965395450592,
-0.010292253457009792,
0.07111232727766037,
-0.07909929752349854,
0.02909591980278492,
-0.07222622632980347,
-0.006389865651726723,
-0.044077061116695404,
0.03756816312670708,
-0.04569191485643387,
0.01150589156895876,
0.04201434925198555,
-0.07091329991817474,
0.007444130722433329,
0.09506957232952118,
0.038867320865392685,
-0.0202336348593235,
0.05439303442835808,
0.0037814658135175705,
-0.014484022743999958,
0.03639504313468933,
0.024191759526729584,
0.04882027208805084,
0.006957950070500374,
0.012887455523014069,
0.08734383434057236,
0.00045763939851894975,
-0.08525615930557251,
0.052994582802057266,
-0.0023138343822211027,
-0.004316763952374458,
0.07267080992460251,
-0.06970269978046417,
-0.0038643728476017714,
-0.032273393124341965,
-0.01508740521967411,
-0.021616637706756592,
-0.03664466366171837,
0.0872558206319809,
-0.06303514540195465,
0.0035200146958231926,
-2.847599983707459e-33,
0.026466578245162964,
0.05079665780067444,
-0.04262450709939003,
-0.007194020319730043,
0.05389704182744026,
0.1397448033094406,
0.043222539126873016,
0.034375742077827454,
-0.037440743297338486,
-0.07220437377691269,
0.05726184695959091,
0.015938999131321907,
-0.02282853238284588,
0.051648423075675964,
0.028061745688319206,
0.0032586415763944387,
-0.005526564083993435,
-0.07533072680234909,
0.10204815864562988,
0.09513632208108902,
0.018684033304452896,
-0.025587832555174828,
0.08120826631784439,
0.04251571744680405,
-0.01444429624825716,
0.02284945175051689,
-0.01905650645494461,
-0.02563868649303913,
-0.025740448385477066,
-0.06434525549411774,
-0.02911554090678692,
0.04846348986029625,
0.054249297827482224,
-0.06816019862890244,
0.03178294748067856,
0.01742508076131344,
0.06333824247121811,
0.0032462093513458967,
0.013969838619232178,
-0.050330184400081635,
-0.06025755777955055,
0.054687611758708954,
0.05209696292877197,
-0.01432296447455883,
-0.07836736738681793,
0.10386702418327332,
0.018082372844219208,
-0.022963762283325195,
-0.02533588744699955,
-0.008596919476985931,
-0.05257372558116913,
0.001364880590699613,
0.06796882301568985,
-0.03929742053151131,
-0.0003465289482846856,
0.009154684841632843,
0.02749030850827694,
0.01946002058684826,
0.023834457620978355,
0.01799957826733589,
-0.02815994806587696,
-0.0512007437646389,
0.06252121925354004,
-0.0474667027592659,
-0.007921513170003891,
-0.02874021604657173,
0.014211197383701801,
-0.04701459780335426,
0.0071570598520338535,
-0.04692532867193222,
0.014517176896333694,
-0.03878844529390335,
-0.009209833107888699,
0.08000998198986053,
-0.0009085306082852185,
0.01062673982232809,
-0.018026305362582207,
-0.15013250708580017,
-0.07349186390638351,
0.06070607155561447,
-0.00242041889578104,
-0.009845182299613953,
-0.024409223347902298,
-0.029991641640663147,
0.056961532682180405,
0.010471127927303314,
-0.0701073557138443,
-0.0728750005364418,
0.022951828315854073,
0.018810078501701355,
0.07288656383752823,
0.06061522290110588,
0.031274110078811646,
-0.16305288672447205,
0.08713547140359879,
-4.58573836681353e-8,
-0.041566792875528336,
0.013314039446413517,
0.026307368651032448,
0.0191408172249794,
0.025373084470629692,
0.05040255934000015,
-0.020362526178359985,
0.04763905331492424,
0.013682560995221138,
-0.09885432571172714,
0.04515703395009041,
-0.0355917252600193,
0.08942089974880219,
0.02868899144232273,
0.0380358062684536,
-0.10542330145835876,
-0.03619365021586418,
-0.06193296238780022,
-0.028369363397359848,
-0.047655027359724045,
-0.014294820837676525,
0.04640503227710724,
-0.014459207653999329,
-0.008217602036893368,
-0.01640421710908413,
0.060283564031124115,
-0.027292432263493538,
-0.003550392109900713,
0.0416436567902565,
-0.025567343458533287,
-0.025394225493073463,
-0.01317472942173481,
-0.0645466148853302,
0.03904500603675842,
-0.11246278882026672,
0.023059921339154243,
-0.019899414852261543,
0.06197135150432587,
-0.1288541704416275,
-0.07863795757293701,
-0.006020250264555216,
-0.021849170327186584,
-0.011663205921649933,
-0.011778450571000576,
-0.01605452597141266,
0.0428241528570652,
0.0457160510122776,
-0.028378063812851906,
-0.10098770260810852,
0.024173520505428314,
-0.05030736327171326,
0.057797711342573166,
0.026830976828932762,
-0.032727599143981934,
0.036959871649742126,
0.06242106109857559,
-0.02490406669676304,
0.08127846568822861,
0.008812393061816692,
-0.00820635911077261,
-0.014681191183626652,
0.009827972389757633,
-0.07069924473762512,
-0.010562633164227009
] |
1401.1498 | Nobumitsu Yokoi | Nobumitsu Yokoi, Katsuaki Higashimori, and Masahiro Hoshino | Transport enhancement and suppression in turbulent magnetic
reconnection: A self-consistent turbulence model | 18 pages, 7 figures | Physics of Plasmas, Vol. 20, No. 12, 122310 (2013) | 10.1063/1.4851976 | null | physics.plasm-ph astro-ph.SR physics.space-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Through the enhancement of transport, turbulence is expected to contribute to
the fast reconnection. However the effects of turbulence are not so
straightforward. In addition to the enhancement of transport, turbulence under
some environment shows effects that suppress the transport. In the presence of
turbulent cross helicity, such a dynamic balance between the transport
enhancement and suppression occurs. As this result of dynamic balance, the
region of effective enhanced magnetic diffusivity is confined to a narrow
region, leading to the fast reconnection. In order to confirm this idea, a
self-consistent turbulence model for the magnetic reconnection is proposed.
With the aid of numerical simulations where turbulence effects are incorporated
in a consistent manner through the turbulence model, the dynamic balance in the
turbulence magnetic reconnection is confirmed.
| [
{
"created": "Wed, 8 Jan 2014 06:46:16 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Yokoi",
"Nobumitsu",
""
],
[
"Higashimori",
"Katsuaki",
""
],
[
"Hoshino",
"Masahiro",
""
]
] | [
0.016683688387274742,
-0.0919971615076065,
0.06001036614179611,
0.03480812907218933,
-0.07190024107694626,
-0.03230346739292145,
-0.04288358613848686,
-0.0643167719244957,
-0.04966951161623001,
-0.07623956352472305,
-0.03915780037641525,
0.0642535388469696,
0.04067118093371391,
-0.08189355581998825,
-0.014926573261618614,
0.03988652303814888,
-0.019442765042185783,
0.027789734303951263,
-0.05309462547302246,
0.032831091433763504,
-0.048203807324171066,
-0.06375580281019211,
-0.06502972543239594,
0.004012210760265589,
0.027605753391981125,
-0.032431211322546005,
-0.005087035708129406,
-0.057028163224458694,
-0.09062346816062927,
-0.07223208248615265,
0.033453457057476044,
0.0013479380868375301,
-0.20710325241088867,
-0.025446176528930664,
-0.10227745026350021,
0.04374655708670616,
0.021139662712812424,
0.07809216529130936,
-0.016553690657019615,
0.06960611790418625,
-0.029504872858524323,
-0.006063717417418957,
0.07179965823888779,
0.00943106971681118,
0.03637060895562172,
0.020609987899661064,
0.06922117620706558,
-0.003738138824701309,
0.018914999440312386,
-0.019553858786821365,
-0.018167570233345032,
0.07659947127103806,
-0.07304222136735916,
0.020820142701268196,
0.0221791360527277,
0.10709742456674576,
0.07296117395162582,
-0.05343518406152725,
-0.09829850494861603,
0.0086192162707448,
0.058771438896656036,
-0.014698454178869724,
0.017846256494522095,
0.013934968970716,
0.014364891685545444,
-0.026838963851332664,
-0.027326511219143867,
0.05049189180135727,
0.01938324049115181,
-0.0033488734625279903,
0.014461499638855457,
0.03796260431408882,
-0.05917448177933693,
-0.07715404778718948,
0.03339593857526779,
0.07478499412536621,
-0.012823043391108513,
0.09358265995979309,
0.02626205049455166,
-0.007178128231316805,
-0.02543119713664055,
0.05816454440355301,
-0.023104822263121605,
-0.005964647047221661,
0.03102169558405876,
0.043951891362667084,
0.01740298978984356,
-0.07992978394031525,
-0.03763023763895035,
0.015687674283981323,
0.05263500660657883,
0.006157964468002319,
-0.049798376858234406,
0.01761026680469513,
0.0461457334458828,
-0.007434908766299486,
-0.006293669808655977,
0.007263942621648312,
0.027644310146570206,
-0.028424203395843506,
0.06749425083398819,
0.01617320254445076,
-0.02459358237683773,
0.0888226181268692,
0.019119882956147194,
0.08762039244174957,
0.09387292712926865,
-0.04799976572394371,
-0.06212678551673889,
-0.011373607441782951,
0.03884660452604294,
0.019341908395290375,
-0.04643594101071358,
-0.03616079315543175,
0.027839884161949158,
0.08961781114339828,
0.03762718662619591,
0.038926512002944946,
-0.05069926753640175,
0.038894131779670715,
0.010801202617585659,
0.05237511172890663,
0.06530330330133438,
-0.019593792036175728,
0.0026304558850824833,
-0.01795259863138199,
0.00573254469782114,
-4.798266921010804e-34,
-0.05398339405655861,
-0.029610266909003258,
-0.021000191569328308,
0.0320662185549736,
0.044948477298021317,
-0.010508103296160698,
-0.042060088366270065,
-0.00041542277904227376,
-0.0029599061235785484,
0.013655424118041992,
-0.09735975414514542,
0.10145234316587448,
-0.03266293555498123,
-0.018259579315781593,
-0.13288167119026184,
-0.0722169354557991,
-0.0030842781998217106,
-0.046736862510442734,
-0.04648064076900482,
-0.04316645860671997,
-0.008691245689988136,
0.03299275040626526,
-0.05027544125914574,
-0.026784289628267288,
0.008868841454386711,
-0.021298766136169434,
0.04859084635972977,
0.03957919776439667,
0.023052679374814034,
0.03496084362268448,
0.011374146677553654,
0.0008042640401981771,
-0.03557216376066208,
-0.03881940245628357,
0.037560105323791504,
-0.030462536960840225,
0.00036703291698358953,
0.03958302363753319,
0.025546595454216003,
0.036773838102817535,
0.019155284389853477,
-0.032893743366003036,
-0.1172955334186554,
0.029964791610836983,
-0.011652384884655476,
-0.06116859242320061,
0.06694202125072479,
-0.0059351203963160515,
-0.01454590167850256,
-0.07731211185455322,
0.04309865087270737,
-0.017743360251188278,
-0.030718492344021797,
0.010631336830556393,
-0.0006274955812841654,
-0.10503901541233063,
0.01019683200865984,
0.021787861362099648,
-0.06377065926790237,
0.07167238742113113,
0.014026707038283348,
0.06517013907432556,
0.0028832422103732824,
-0.005564414896070957,
0.051220864057540894,
0.0196065716445446,
0.08872465044260025,
0.06917255371809006,
-0.01827348954975605,
-0.04612480476498604,
0.03907574713230133,
0.03557897359132767,
-0.024518541991710663,
0.010275592096149921,
0.0025860806927084923,
-0.09454738348722458,
-0.0497199222445488,
0.05555254966020584,
0.06014876440167427,
-0.04993637278676033,
-0.019021963700652122,
-0.004411296918988228,
-0.024334054440259933,
0.04230007529258728,
-0.015891430899500847,
-0.02790217287838459,
-0.04844392091035843,
-0.06667426228523254,
-0.022394893690943718,
-0.04665866121649742,
0.029094096273183823,
0.1165616363286972,
0.12844155728816986,
-0.04392833635210991,
0.03374336287379265,
-2.252648864635698e-33,
-0.021576207131147385,
-0.049022939056158066,
0.04021422192454338,
0.019564589485526085,
-0.03946330025792122,
0.0856957659125328,
0.09945779293775558,
0.10966731607913971,
-0.00025332471705041826,
-0.010334349237382412,
-0.000480348477140069,
-0.04610713943839073,
-0.022695235908031464,
-0.03112589567899704,
0.038373321294784546,
-0.10398919880390167,
-0.06589316576719284,
0.019232986494898796,
-0.012119428254663944,
0.0340702198445797,
0.014302953146398067,
-0.047744158655405045,
0.031736813485622406,
-0.05628139525651932,
0.02292381413280964,
0.007360122166574001,
-0.0634305402636528,
-0.031214915215969086,
0.009745830669999123,
-0.025252986699342728,
0.051958441734313965,
0.05997390300035477,
-0.00644160620868206,
-0.019218282774090767,
0.017145609483122826,
0.040277015417814255,
-0.062273189425468445,
-0.07436814904212952,
0.052505843341350555,
-0.10703915357589722,
-0.022300945594906807,
0.05503833293914795,
0.07449695467948914,
-0.08649273961782455,
0.06505521386861801,
0.000797896645963192,
-0.16550490260124207,
0.022262191399931908,
0.03777606785297394,
0.031447574496269226,
-0.023309817537665367,
-0.008342185989022255,
-0.05906118452548981,
0.027368711307644844,
0.04045732319355011,
0.1099865511059761,
0.040451325476169586,
0.011142636649310589,
0.06051867455244064,
0.04671437293291092,
-0.009136643260717392,
-0.09702906757593155,
-0.005198234226554632,
-0.039787374436855316,
0.01923767291009426,
-0.0025723783764988184,
0.0375484935939312,
0.06643224507570267,
0.006999405566602945,
0.0030384960118681192,
0.04900483042001724,
0.02354968897998333,
0.0035637333057820797,
0.017815567553043365,
-0.004092076327651739,
0.03083057887852192,
0.08339733630418777,
-0.044901419430971146,
-0.023645278066396713,
0.08537175506353378,
-0.0290355384349823,
0.009533621370792389,
-0.02073831483721733,
-0.08659776300191879,
-0.015364320017397404,
-0.13788916170597076,
-0.01666458323597908,
-0.10020530223846436,
0.0025862054899334908,
0.0031980203930288553,
0.10944592207670212,
-0.0517871119081974,
0.08927027136087418,
-0.05733976885676384,
-0.09656865149736404,
-4.104230910684237e-8,
0.04395893216133118,
0.022661607712507248,
-0.002545950235798955,
0.0644979253411293,
-0.045410141348838806,
0.03457212075591087,
-0.055466633290052414,
0.005257877521216869,
0.013439040631055832,
-0.05299066752195358,
0.06823591887950897,
0.007269819732755423,
0.01940350979566574,
0.028595704585313797,
-0.009792059659957886,
0.0012656411854550242,
-0.05320362746715546,
-0.03544170409440994,
0.03690682351589203,
0.02901039645075798,
0.05249984934926033,
0.04855533689260483,
-0.05040277913212776,
0.015331685543060303,
-0.01691293902695179,
0.06875152140855789,
-0.028273556381464005,
0.028175827115774155,
-0.004778966307640076,
-0.07317773252725601,
-0.0010042055509984493,
-0.02413809671998024,
0.011308722198009491,
0.031288061290979385,
-0.14362089335918427,
0.04512183368206024,
-0.024894529953598976,
0.0922909677028656,
0.012804090976715088,
0.02362304925918579,
0.049480684101581573,
-0.011893047951161861,
0.06744925677776337,
-0.024787068367004395,
0.020558562129735947,
-0.006372795905917883,
-0.03844936937093735,
0.031040577217936516,
-0.04842967540025711,
0.06418609619140625,
0.021286943927407265,
0.04237427935004234,
0.08692068606615067,
-0.05362860485911369,
0.011451353318989277,
-0.013719187118113041,
-0.07406274229288101,
0.03299430385231972,
-0.05243226885795593,
-0.06137457489967346,
-0.06981829553842545,
0.05565648525953293,
-0.0987061932682991,
-0.03884615749120712
] | null | null | null | null | null | null | null | [
0.016683688387274742,
-0.0919971615076065,
0.06001036614179611,
0.03480812907218933,
-0.07190024107694626,
-0.03230346739292145,
-0.04288358613848686,
-0.0643167719244957,
-0.04966951161623001,
-0.07623956352472305,
-0.03915780037641525,
0.0642535388469696,
0.04067118093371391,
-0.08189355581998825,
-0.014926573261618614,
0.03988652303814888,
-0.019442765042185783,
0.027789734303951263,
-0.05309462547302246,
0.032831091433763504,
-0.048203807324171066,
-0.06375580281019211,
-0.06502972543239594,
0.004012210760265589,
0.027605753391981125,
-0.032431211322546005,
-0.005087035708129406,
-0.057028163224458694,
-0.09062346816062927,
-0.07223208248615265,
0.033453457057476044,
0.0013479380868375301,
-0.20710325241088867,
-0.025446176528930664,
-0.10227745026350021,
0.04374655708670616,
0.021139662712812424,
0.07809216529130936,
-0.016553690657019615,
0.06960611790418625,
-0.029504872858524323,
-0.006063717417418957,
0.07179965823888779,
0.00943106971681118,
0.03637060895562172,
0.020609987899661064,
0.06922117620706558,
-0.003738138824701309,
0.018914999440312386,
-0.019553858786821365,
-0.018167570233345032,
0.07659947127103806,
-0.07304222136735916,
0.020820142701268196,
0.0221791360527277,
0.10709742456674576,
0.07296117395162582,
-0.05343518406152725,
-0.09829850494861603,
0.0086192162707448,
0.058771438896656036,
-0.014698454178869724,
0.017846256494522095,
0.013934968970716,
0.014364891685545444,
-0.026838963851332664,
-0.027326511219143867,
0.05049189180135727,
0.01938324049115181,
-0.0033488734625279903,
0.014461499638855457,
0.03796260431408882,
-0.05917448177933693,
-0.07715404778718948,
0.03339593857526779,
0.07478499412536621,
-0.012823043391108513,
0.09358265995979309,
0.02626205049455166,
-0.007178128231316805,
-0.02543119713664055,
0.05816454440355301,
-0.023104822263121605,
-0.005964647047221661,
0.03102169558405876,
0.043951891362667084,
0.01740298978984356,
-0.07992978394031525,
-0.03763023763895035,
0.015687674283981323,
0.05263500660657883,
0.006157964468002319,
-0.049798376858234406,
0.01761026680469513,
0.0461457334458828,
-0.007434908766299486,
-0.006293669808655977,
0.007263942621648312,
0.027644310146570206,
-0.028424203395843506,
0.06749425083398819,
0.01617320254445076,
-0.02459358237683773,
0.0888226181268692,
0.019119882956147194,
0.08762039244174957,
0.09387292712926865,
-0.04799976572394371,
-0.06212678551673889,
-0.011373607441782951,
0.03884660452604294,
0.019341908395290375,
-0.04643594101071358,
-0.03616079315543175,
0.027839884161949158,
0.08961781114339828,
0.03762718662619591,
0.038926512002944946,
-0.05069926753640175,
0.038894131779670715,
0.010801202617585659,
0.05237511172890663,
0.06530330330133438,
-0.019593792036175728,
0.0026304558850824833,
-0.01795259863138199,
0.00573254469782114,
-4.798266921010804e-34,
-0.05398339405655861,
-0.029610266909003258,
-0.021000191569328308,
0.0320662185549736,
0.044948477298021317,
-0.010508103296160698,
-0.042060088366270065,
-0.00041542277904227376,
-0.0029599061235785484,
0.013655424118041992,
-0.09735975414514542,
0.10145234316587448,
-0.03266293555498123,
-0.018259579315781593,
-0.13288167119026184,
-0.0722169354557991,
-0.0030842781998217106,
-0.046736862510442734,
-0.04648064076900482,
-0.04316645860671997,
-0.008691245689988136,
0.03299275040626526,
-0.05027544125914574,
-0.026784289628267288,
0.008868841454386711,
-0.021298766136169434,
0.04859084635972977,
0.03957919776439667,
0.023052679374814034,
0.03496084362268448,
0.011374146677553654,
0.0008042640401981771,
-0.03557216376066208,
-0.03881940245628357,
0.037560105323791504,
-0.030462536960840225,
0.00036703291698358953,
0.03958302363753319,
0.025546595454216003,
0.036773838102817535,
0.019155284389853477,
-0.032893743366003036,
-0.1172955334186554,
0.029964791610836983,
-0.011652384884655476,
-0.06116859242320061,
0.06694202125072479,
-0.0059351203963160515,
-0.01454590167850256,
-0.07731211185455322,
0.04309865087270737,
-0.017743360251188278,
-0.030718492344021797,
0.010631336830556393,
-0.0006274955812841654,
-0.10503901541233063,
0.01019683200865984,
0.021787861362099648,
-0.06377065926790237,
0.07167238742113113,
0.014026707038283348,
0.06517013907432556,
0.0028832422103732824,
-0.005564414896070957,
0.051220864057540894,
0.0196065716445446,
0.08872465044260025,
0.06917255371809006,
-0.01827348954975605,
-0.04612480476498604,
0.03907574713230133,
0.03557897359132767,
-0.024518541991710663,
0.010275592096149921,
0.0025860806927084923,
-0.09454738348722458,
-0.0497199222445488,
0.05555254966020584,
0.06014876440167427,
-0.04993637278676033,
-0.019021963700652122,
-0.004411296918988228,
-0.024334054440259933,
0.04230007529258728,
-0.015891430899500847,
-0.02790217287838459,
-0.04844392091035843,
-0.06667426228523254,
-0.022394893690943718,
-0.04665866121649742,
0.029094096273183823,
0.1165616363286972,
0.12844155728816986,
-0.04392833635210991,
0.03374336287379265,
-2.252648864635698e-33,
-0.021576207131147385,
-0.049022939056158066,
0.04021422192454338,
0.019564589485526085,
-0.03946330025792122,
0.0856957659125328,
0.09945779293775558,
0.10966731607913971,
-0.00025332471705041826,
-0.010334349237382412,
-0.000480348477140069,
-0.04610713943839073,
-0.022695235908031464,
-0.03112589567899704,
0.038373321294784546,
-0.10398919880390167,
-0.06589316576719284,
0.019232986494898796,
-0.012119428254663944,
0.0340702198445797,
0.014302953146398067,
-0.047744158655405045,
0.031736813485622406,
-0.05628139525651932,
0.02292381413280964,
0.007360122166574001,
-0.0634305402636528,
-0.031214915215969086,
0.009745830669999123,
-0.025252986699342728,
0.051958441734313965,
0.05997390300035477,
-0.00644160620868206,
-0.019218282774090767,
0.017145609483122826,
0.040277015417814255,
-0.062273189425468445,
-0.07436814904212952,
0.052505843341350555,
-0.10703915357589722,
-0.022300945594906807,
0.05503833293914795,
0.07449695467948914,
-0.08649273961782455,
0.06505521386861801,
0.000797896645963192,
-0.16550490260124207,
0.022262191399931908,
0.03777606785297394,
0.031447574496269226,
-0.023309817537665367,
-0.008342185989022255,
-0.05906118452548981,
0.027368711307644844,
0.04045732319355011,
0.1099865511059761,
0.040451325476169586,
0.011142636649310589,
0.06051867455244064,
0.04671437293291092,
-0.009136643260717392,
-0.09702906757593155,
-0.005198234226554632,
-0.039787374436855316,
0.01923767291009426,
-0.0025723783764988184,
0.0375484935939312,
0.06643224507570267,
0.006999405566602945,
0.0030384960118681192,
0.04900483042001724,
0.02354968897998333,
0.0035637333057820797,
0.017815567553043365,
-0.004092076327651739,
0.03083057887852192,
0.08339733630418777,
-0.044901419430971146,
-0.023645278066396713,
0.08537175506353378,
-0.0290355384349823,
0.009533621370792389,
-0.02073831483721733,
-0.08659776300191879,
-0.015364320017397404,
-0.13788916170597076,
-0.01666458323597908,
-0.10020530223846436,
0.0025862054899334908,
0.0031980203930288553,
0.10944592207670212,
-0.0517871119081974,
0.08927027136087418,
-0.05733976885676384,
-0.09656865149736404,
-4.104230910684237e-8,
0.04395893216133118,
0.022661607712507248,
-0.002545950235798955,
0.0644979253411293,
-0.045410141348838806,
0.03457212075591087,
-0.055466633290052414,
0.005257877521216869,
0.013439040631055832,
-0.05299066752195358,
0.06823591887950897,
0.007269819732755423,
0.01940350979566574,
0.028595704585313797,
-0.009792059659957886,
0.0012656411854550242,
-0.05320362746715546,
-0.03544170409440994,
0.03690682351589203,
0.02901039645075798,
0.05249984934926033,
0.04855533689260483,
-0.05040277913212776,
0.015331685543060303,
-0.01691293902695179,
0.06875152140855789,
-0.028273556381464005,
0.028175827115774155,
-0.004778966307640076,
-0.07317773252725601,
-0.0010042055509984493,
-0.02413809671998024,
0.011308722198009491,
0.031288061290979385,
-0.14362089335918427,
0.04512183368206024,
-0.024894529953598976,
0.0922909677028656,
0.012804090976715088,
0.02362304925918579,
0.049480684101581573,
-0.011893047951161861,
0.06744925677776337,
-0.024787068367004395,
0.020558562129735947,
-0.006372795905917883,
-0.03844936937093735,
0.031040577217936516,
-0.04842967540025711,
0.06418609619140625,
0.021286943927407265,
0.04237427935004234,
0.08692068606615067,
-0.05362860485911369,
0.011451353318989277,
-0.013719187118113041,
-0.07406274229288101,
0.03299430385231972,
-0.05243226885795593,
-0.06137457489967346,
-0.06981829553842545,
0.05565648525953293,
-0.0987061932682991,
-0.03884615749120712
] |
1401.1512 | Markus Reiher | Thomas Weymuth and Markus Reiher | Inverse Quantum Chemistry: Concepts and Strategies for Rational Compound
Design | 43 pages, 5 figures | International Journal of Quantum Chemistry, Volume 114, Issue 13,
pages 823-837, 5 July 2014 | 10.1002/qua.24687 | null | physics.chem-ph cond-mat.mtrl-sci physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The rational design of molecules and materials is becoming more and more
important. With the advent of powerful computer systems and sophisticated
algorithms, quantum chemistry plays an important role in rational design. While
traditional quantum chemical approaches predict the properties of a predefined
molecular structure, the goal of inverse quantum chemistry is to find a
structure featuring one or more desired properties. Herein, we review inverse
quantum chemical approaches proposed so far and discuss their advantages as
well as their weaknesses.
| [
{
"created": "Tue, 7 Jan 2014 21:14:36 GMT",
"version": "v1"
},
{
"created": "Sat, 17 May 2014 00:49:26 GMT",
"version": "v2"
}
] | 2014-05-20 | [
[
"Weymuth",
"Thomas",
""
],
[
"Reiher",
"Markus",
""
]
] | [
-0.10492593050003052,
0.025748420506715775,
0.006574462633579969,
0.055861059576272964,
-0.07439210265874863,
-0.033942993730306625,
0.030607841908931732,
0.03238942474126816,
0.049906518310308456,
0.04848112538456917,
-0.040430035442113876,
-0.029056981205940247,
-0.052065130323171616,
0.07448770105838776,
-0.0013866658555343747,
0.0368933267891407,
0.04445851594209671,
-0.007385062985122204,
0.060225289314985275,
0.03252243995666504,
-0.07051673531532288,
-0.018753066658973694,
0.0033506606705486774,
-0.03240322694182396,
0.04610452428460121,
0.03316875174641609,
0.02871316857635975,
0.005394466686993837,
-0.021106308326125145,
-0.01928328536450863,
0.13755689561367035,
-0.010743614286184311,
0.04594256728887558,
-0.02150592766702175,
-0.044061753898859024,
0.03127128630876541,
0.020617859438061714,
-0.020878244191408157,
0.04688948765397072,
0.022335123270750046,
-0.03822292760014534,
0.10205131769180298,
0.007337676826864481,
0.04668719321489334,
0.0313827246427536,
-0.041330646723508835,
0.0036812375765293837,
-0.018750470131635666,
0.04855455830693245,
-0.054436322301626205,
0.08443409204483032,
0.08685345947742462,
-0.061952851712703705,
0.008655227720737457,
0.02915964089334011,
0.10557852685451508,
-0.017907509580254555,
0.01270916499197483,
-0.058569181710481644,
-0.027109351009130478,
0.07664602249860764,
-0.0345347598195076,
-0.05154035612940788,
-0.0017976678209379315,
0.048678163439035416,
0.03406473994255066,
0.019345127046108246,
-0.06539865583181381,
0.02191384881734848,
0.008680196478962898,
-0.026274938136339188,
-0.014784586615860462,
-0.017529262229800224,
0.028823930770158768,
0.06094040721654892,
0.018958820030093193,
-0.022135276347398758,
0.036147937178611755,
0.0021968705113977194,
0.002629294293001294,
0.018907004967331886,
-0.038045965135097504,
0.05571753531694412,
0.06354786455631256,
0.11901497095823288,
0.05698666721582413,
-0.028543464839458466,
-0.0070139276795089245,
0.016605127602815628,
-0.061142463237047195,
-0.01687571406364441,
-0.05479677394032478,
0.058061808347702026,
-0.08138546347618103,
-0.03023477829992771,
0.01280284859240055,
0.08330263197422028,
0.03569315746426582,
0.05323915556073189,
-0.00501515856012702,
0.11338139325380325,
0.025134017691016197,
-0.07310674339532852,
-0.07553929835557938,
-0.02411564625799656,
-0.002658485434949398,
0.04228661209344864,
0.05334514379501343,
-0.0626901388168335,
-0.0015889465576037765,
0.005751233547925949,
-0.026226025074720383,
0.10556044429540634,
-0.06078188493847847,
-0.03991466388106346,
0.040485646575689316,
0.014834826812148094,
0.038625750690698624,
-0.05270299315452576,
0.017936209216713905,
-0.036589521914720535,
-0.016072018072009087,
-0.03200875222682953,
0.010873937979340553,
0.0027937167324125767,
-0.031915102154016495,
-0.07705598324537277,
7.541399619734732e-34,
-0.0003753610362764448,
0.023846518248319626,
0.10888173431158066,
0.004993609618395567,
0.025304002687335014,
-0.028709353879094124,
0.05008834972977638,
-0.09384041279554367,
-0.10424286127090454,
-0.011241812258958817,
0.011332936584949493,
0.00947386771440506,
-0.022864440456032753,
0.008873988874256611,
-0.04479074105620384,
0.10476507246494293,
0.0031694050412625074,
-0.00022233225172385573,
0.011178425513207912,
-0.12374921888113022,
-0.054255079478025436,
0.025912610813975334,
-0.03847182169556618,
-0.022029217332601547,
-0.0315266028046608,
-0.02711523324251175,
0.07247378677129745,
0.010294277220964432,
-0.055580832064151764,
-0.03601352125406265,
-0.008760136552155018,
0.0330035462975502,
-0.07657092809677124,
0.06880786269903183,
-0.03040679730474949,
0.02227495238184929,
-0.024251136928796768,
0.03258693590760231,
0.023442905396223068,
-0.08108353614807129,
0.005185223650187254,
0.04213540256023407,
0.014602387323975563,
-0.007898283191025257,
-0.015560192056000233,
0.0527351051568985,
0.033417925238609314,
-0.08741039782762527,
-0.01810523308813572,
-0.03392580524086952,
0.02736758440732956,
-0.01634029671549797,
-0.028144048526883125,
-0.01058899238705635,
-0.06881937384605408,
-0.012159738689661026,
0.06117205321788788,
0.05196467041969299,
0.025371212512254715,
0.059192731976509094,
-0.043367840349674225,
0.015174978412687778,
-0.09106950461864471,
-0.00863599218428135,
-0.0827881246805191,
0.02418367750942707,
0.048644158989191055,
-0.10039064288139343,
-0.03310263156890869,
0.08145806938409805,
-0.028043316677212715,
0.07676646113395691,
0.05648944899439812,
0.04371190071105957,
-0.0028624292463064194,
0.06323900818824768,
0.014716249890625477,
-0.15031516551971436,
0.035356953740119934,
-0.03160297870635986,
-0.010696065612137318,
0.019519468769431114,
0.05345273017883301,
0.026795467361807823,
-0.1058584526181221,
-0.13518159091472626,
0.04537893086671829,
-0.04946320876479149,
-0.03173617646098137,
0.06811352074146271,
-0.04076334461569786,
-0.07480724900960922,
0.05870097875595093,
-0.024923156946897507,
0.03175390139222145,
-2.3763380536490653e-33,
0.0042516617104411125,
-0.017474574968218803,
-0.0018084499752148986,
-0.03751349076628685,
-0.006403148174285889,
-0.04105694964528084,
-0.008143840357661247,
-0.07389029860496521,
0.08419616520404816,
-0.016422219574451447,
0.09517420828342438,
-0.037756387144327164,
0.09923604875802994,
0.06228310987353325,
-0.043228570371866226,
0.0563691146671772,
0.02035154215991497,
-0.02890404872596264,
0.053151946514844894,
-0.03838908299803734,
-0.06024814024567604,
0.06890206038951874,
0.03316386789083481,
-0.044758040457963943,
-0.0335785374045372,
0.05854443088173866,
0.02472662553191185,
-0.025982005521655083,
0.06565609574317932,
-0.0007294321549125016,
-0.07471834123134613,
-0.00873901043087244,
0.027796439826488495,
-0.018443865701556206,
-0.06126732379198074,
0.07463405281305313,
-0.022990720346570015,
0.0037925441283732653,
-0.09996034950017929,
-0.06568177044391632,
-0.04200790449976921,
-0.037829719483852386,
-0.009583809413015842,
-0.011468148790299892,
0.08168382197618484,
-0.03186541795730591,
-0.0030539531726390123,
0.012316044420003891,
-0.04283744841814041,
-0.060621581971645355,
-0.017945539206266403,
-0.03299799561500549,
0.07217809557914734,
-0.008197289891541004,
0.012676725164055824,
0.03649568185210228,
0.008917847648262978,
-0.009318957105278969,
0.1503654420375824,
0.025790473446249962,
-0.021190354600548744,
-0.0051809996366500854,
0.08677330613136292,
-0.03416988253593445,
-0.1026030033826828,
0.006540689617395401,
-0.04863102734088898,
0.04559362307190895,
-0.01579529419541359,
-0.12654386460781097,
-0.0579351969063282,
0.024927357211709023,
0.1114710196852684,
0.07980336248874664,
0.06169738247990608,
-0.11954888701438904,
0.023488307371735573,
0.05192785710096359,
-0.006725243758410215,
0.033919673413038254,
0.059682030230760574,
0.026508701965212822,
-0.06846947968006134,
0.0004665483720600605,
0.005545525811612606,
-0.0020351095590740442,
0.00045535119716078043,
0.053330279886722565,
-0.0035044823307543993,
-0.04790088161826134,
0.0559193454682827,
0.025332216173410416,
0.024730652570724487,
0.04725368693470955,
0.08774802088737488,
-3.790282576687787e-8,
-0.0033572360407561064,
-0.0346677303314209,
0.08790197968482971,
-0.024664029479026794,
0.014762039296329021,
0.05902479961514473,
0.0833982527256012,
0.00795124564319849,
-0.04903683811426163,
-0.06987497210502625,
-0.037585485726594925,
0.0037506732624024153,
0.002634757896885276,
-0.014825824648141861,
-0.023699050769209862,
0.058625396341085434,
-0.044029414653778076,
-0.013275927864015102,
-0.06207961216568947,
-0.007013827096670866,
0.021282942965626717,
0.04346210137009621,
-0.044021740555763245,
-0.03264032304286957,
0.0286309402436018,
-0.05388704687356949,
-0.09556899219751358,
-0.05819780007004738,
-0.034515365958213806,
0.05627429857850075,
-0.05772814154624939,
0.021811092272400856,
0.04369979351758957,
0.14859189093112946,
-0.01841328851878643,
-0.09226308763027191,
-0.00553538091480732,
-0.041805412620306015,
-0.1370917111635208,
-0.0300995372235775,
-0.000017342681530863047,
-0.01556494738906622,
-0.06991272419691086,
0.03949924558401108,
0.017666347324848175,
0.01290105190128088,
0.009833249263465405,
0.0653279572725296,
0.01022930908948183,
0.03790247440338135,
0.022232288494706154,
-0.06777196377515793,
0.017204729840159416,
-0.0745217576622963,
-0.049958426505327225,
0.01475830003619194,
-0.08805374801158905,
0.028387516736984253,
-0.06857278943061829,
-0.02106461301445961,
0.013870373368263245,
-0.042784031480550766,
0.03719012439250946,
-0.0026179307606071234
] | null | null | null | null | null | null | null | [
-0.10492593050003052,
0.025748420506715775,
0.006574462633579969,
0.055861059576272964,
-0.07439210265874863,
-0.033942993730306625,
0.030607841908931732,
0.03238942474126816,
0.049906518310308456,
0.04848112538456917,
-0.040430035442113876,
-0.029056981205940247,
-0.052065130323171616,
0.07448770105838776,
-0.0013866658555343747,
0.0368933267891407,
0.04445851594209671,
-0.007385062985122204,
0.060225289314985275,
0.03252243995666504,
-0.07051673531532288,
-0.018753066658973694,
0.0033506606705486774,
-0.03240322694182396,
0.04610452428460121,
0.03316875174641609,
0.02871316857635975,
0.005394466686993837,
-0.021106308326125145,
-0.01928328536450863,
0.13755689561367035,
-0.010743614286184311,
0.04594256728887558,
-0.02150592766702175,
-0.044061753898859024,
0.03127128630876541,
0.020617859438061714,
-0.020878244191408157,
0.04688948765397072,
0.022335123270750046,
-0.03822292760014534,
0.10205131769180298,
0.007337676826864481,
0.04668719321489334,
0.0313827246427536,
-0.041330646723508835,
0.0036812375765293837,
-0.018750470131635666,
0.04855455830693245,
-0.054436322301626205,
0.08443409204483032,
0.08685345947742462,
-0.061952851712703705,
0.008655227720737457,
0.02915964089334011,
0.10557852685451508,
-0.017907509580254555,
0.01270916499197483,
-0.058569181710481644,
-0.027109351009130478,
0.07664602249860764,
-0.0345347598195076,
-0.05154035612940788,
-0.0017976678209379315,
0.048678163439035416,
0.03406473994255066,
0.019345127046108246,
-0.06539865583181381,
0.02191384881734848,
0.008680196478962898,
-0.026274938136339188,
-0.014784586615860462,
-0.017529262229800224,
0.028823930770158768,
0.06094040721654892,
0.018958820030093193,
-0.022135276347398758,
0.036147937178611755,
0.0021968705113977194,
0.002629294293001294,
0.018907004967331886,
-0.038045965135097504,
0.05571753531694412,
0.06354786455631256,
0.11901497095823288,
0.05698666721582413,
-0.028543464839458466,
-0.0070139276795089245,
0.016605127602815628,
-0.061142463237047195,
-0.01687571406364441,
-0.05479677394032478,
0.058061808347702026,
-0.08138546347618103,
-0.03023477829992771,
0.01280284859240055,
0.08330263197422028,
0.03569315746426582,
0.05323915556073189,
-0.00501515856012702,
0.11338139325380325,
0.025134017691016197,
-0.07310674339532852,
-0.07553929835557938,
-0.02411564625799656,
-0.002658485434949398,
0.04228661209344864,
0.05334514379501343,
-0.0626901388168335,
-0.0015889465576037765,
0.005751233547925949,
-0.026226025074720383,
0.10556044429540634,
-0.06078188493847847,
-0.03991466388106346,
0.040485646575689316,
0.014834826812148094,
0.038625750690698624,
-0.05270299315452576,
0.017936209216713905,
-0.036589521914720535,
-0.016072018072009087,
-0.03200875222682953,
0.010873937979340553,
0.0027937167324125767,
-0.031915102154016495,
-0.07705598324537277,
7.541399619734732e-34,
-0.0003753610362764448,
0.023846518248319626,
0.10888173431158066,
0.004993609618395567,
0.025304002687335014,
-0.028709353879094124,
0.05008834972977638,
-0.09384041279554367,
-0.10424286127090454,
-0.011241812258958817,
0.011332936584949493,
0.00947386771440506,
-0.022864440456032753,
0.008873988874256611,
-0.04479074105620384,
0.10476507246494293,
0.0031694050412625074,
-0.00022233225172385573,
0.011178425513207912,
-0.12374921888113022,
-0.054255079478025436,
0.025912610813975334,
-0.03847182169556618,
-0.022029217332601547,
-0.0315266028046608,
-0.02711523324251175,
0.07247378677129745,
0.010294277220964432,
-0.055580832064151764,
-0.03601352125406265,
-0.008760136552155018,
0.0330035462975502,
-0.07657092809677124,
0.06880786269903183,
-0.03040679730474949,
0.02227495238184929,
-0.024251136928796768,
0.03258693590760231,
0.023442905396223068,
-0.08108353614807129,
0.005185223650187254,
0.04213540256023407,
0.014602387323975563,
-0.007898283191025257,
-0.015560192056000233,
0.0527351051568985,
0.033417925238609314,
-0.08741039782762527,
-0.01810523308813572,
-0.03392580524086952,
0.02736758440732956,
-0.01634029671549797,
-0.028144048526883125,
-0.01058899238705635,
-0.06881937384605408,
-0.012159738689661026,
0.06117205321788788,
0.05196467041969299,
0.025371212512254715,
0.059192731976509094,
-0.043367840349674225,
0.015174978412687778,
-0.09106950461864471,
-0.00863599218428135,
-0.0827881246805191,
0.02418367750942707,
0.048644158989191055,
-0.10039064288139343,
-0.03310263156890869,
0.08145806938409805,
-0.028043316677212715,
0.07676646113395691,
0.05648944899439812,
0.04371190071105957,
-0.0028624292463064194,
0.06323900818824768,
0.014716249890625477,
-0.15031516551971436,
0.035356953740119934,
-0.03160297870635986,
-0.010696065612137318,
0.019519468769431114,
0.05345273017883301,
0.026795467361807823,
-0.1058584526181221,
-0.13518159091472626,
0.04537893086671829,
-0.04946320876479149,
-0.03173617646098137,
0.06811352074146271,
-0.04076334461569786,
-0.07480724900960922,
0.05870097875595093,
-0.024923156946897507,
0.03175390139222145,
-2.3763380536490653e-33,
0.0042516617104411125,
-0.017474574968218803,
-0.0018084499752148986,
-0.03751349076628685,
-0.006403148174285889,
-0.04105694964528084,
-0.008143840357661247,
-0.07389029860496521,
0.08419616520404816,
-0.016422219574451447,
0.09517420828342438,
-0.037756387144327164,
0.09923604875802994,
0.06228310987353325,
-0.043228570371866226,
0.0563691146671772,
0.02035154215991497,
-0.02890404872596264,
0.053151946514844894,
-0.03838908299803734,
-0.06024814024567604,
0.06890206038951874,
0.03316386789083481,
-0.044758040457963943,
-0.0335785374045372,
0.05854443088173866,
0.02472662553191185,
-0.025982005521655083,
0.06565609574317932,
-0.0007294321549125016,
-0.07471834123134613,
-0.00873901043087244,
0.027796439826488495,
-0.018443865701556206,
-0.06126732379198074,
0.07463405281305313,
-0.022990720346570015,
0.0037925441283732653,
-0.09996034950017929,
-0.06568177044391632,
-0.04200790449976921,
-0.037829719483852386,
-0.009583809413015842,
-0.011468148790299892,
0.08168382197618484,
-0.03186541795730591,
-0.0030539531726390123,
0.012316044420003891,
-0.04283744841814041,
-0.060621581971645355,
-0.017945539206266403,
-0.03299799561500549,
0.07217809557914734,
-0.008197289891541004,
0.012676725164055824,
0.03649568185210228,
0.008917847648262978,
-0.009318957105278969,
0.1503654420375824,
0.025790473446249962,
-0.021190354600548744,
-0.0051809996366500854,
0.08677330613136292,
-0.03416988253593445,
-0.1026030033826828,
0.006540689617395401,
-0.04863102734088898,
0.04559362307190895,
-0.01579529419541359,
-0.12654386460781097,
-0.0579351969063282,
0.024927357211709023,
0.1114710196852684,
0.07980336248874664,
0.06169738247990608,
-0.11954888701438904,
0.023488307371735573,
0.05192785710096359,
-0.006725243758410215,
0.033919673413038254,
0.059682030230760574,
0.026508701965212822,
-0.06846947968006134,
0.0004665483720600605,
0.005545525811612606,
-0.0020351095590740442,
0.00045535119716078043,
0.053330279886722565,
-0.0035044823307543993,
-0.04790088161826134,
0.0559193454682827,
0.025332216173410416,
0.024730652570724487,
0.04725368693470955,
0.08774802088737488,
-3.790282576687787e-8,
-0.0033572360407561064,
-0.0346677303314209,
0.08790197968482971,
-0.024664029479026794,
0.014762039296329021,
0.05902479961514473,
0.0833982527256012,
0.00795124564319849,
-0.04903683811426163,
-0.06987497210502625,
-0.037585485726594925,
0.0037506732624024153,
0.002634757896885276,
-0.014825824648141861,
-0.023699050769209862,
0.058625396341085434,
-0.044029414653778076,
-0.013275927864015102,
-0.06207961216568947,
-0.007013827096670866,
0.021282942965626717,
0.04346210137009621,
-0.044021740555763245,
-0.03264032304286957,
0.0286309402436018,
-0.05388704687356949,
-0.09556899219751358,
-0.05819780007004738,
-0.034515365958213806,
0.05627429857850075,
-0.05772814154624939,
0.021811092272400856,
0.04369979351758957,
0.14859189093112946,
-0.01841328851878643,
-0.09226308763027191,
-0.00553538091480732,
-0.041805412620306015,
-0.1370917111635208,
-0.0300995372235775,
-0.000017342681530863047,
-0.01556494738906622,
-0.06991272419691086,
0.03949924558401108,
0.017666347324848175,
0.01290105190128088,
0.009833249263465405,
0.0653279572725296,
0.01022930908948183,
0.03790247440338135,
0.022232288494706154,
-0.06777196377515793,
0.017204729840159416,
-0.0745217576622963,
-0.049958426505327225,
0.01475830003619194,
-0.08805374801158905,
0.028387516736984253,
-0.06857278943061829,
-0.02106461301445961,
0.013870373368263245,
-0.042784031480550766,
0.03719012439250946,
-0.0026179307606071234
] |
1401.1513 | Karim Seddik | Karim G. Seddik | On the Stability of Random Multiple Access with Feedback Exploitation
and Queue Priority | null | null | null | null | cs.IT cs.NI cs.PF math.IT | http://creativecommons.org/licenses/by/3.0/ | In this paper, we study the stability of two interacting queues under random
multiple access in which the queues leverage the feedback information. We
derive the stability region under random multiple access where one of the two
queues exploits the feedback information and backs off under negative
acknowledgement (NACK) and the other, higher priority, queue will access the
channel with probability one. We characterize the stability region of this
feedback-based random access protocol and prove that this derived stability
region encloses the stability region of the conventional random access (RA)
scheme that does not exploit the feedback information.
| [
{
"created": "Mon, 6 Jan 2014 20:11:21 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Seddik",
"Karim G.",
""
]
] | [
-0.012150156311690807,
0.026429882273077965,
-0.04004248231649399,
0.00424690218642354,
-0.021987183019518852,
-0.050091132521629333,
0.11258283257484436,
-0.11144008487462997,
0.06904616951942444,
0.03807470202445984,
-0.061363622546195984,
0.11347489058971405,
0.052778586745262146,
-0.07597607374191284,
-0.0493471659719944,
0.011554060503840446,
0.14849841594696045,
-0.027885064482688904,
-0.012994891032576561,
0.07050078362226486,
-0.018856529146432877,
-0.016356227919459343,
0.039112649857997894,
-0.026642540469765663,
-0.03222837671637535,
-0.12060296535491943,
-0.07265608012676239,
0.005633509252220392,
0.05412896350026131,
-0.08367127180099487,
-0.0070922779850661755,
-0.05584927275776863,
-0.014133014716207981,
-0.05423986539244652,
-0.05020831525325775,
-0.07903271913528442,
0.011716267094016075,
-0.008447353728115559,
-0.050551772117614746,
0.07335173338651657,
-0.021897347643971443,
0.022357655689120293,
-0.081350177526474,
0.026090465486049652,
-0.04204961657524109,
-0.005414622835814953,
-0.004561873618513346,
0.03281182050704956,
0.0029835894238203764,
0.03221512585878372,
0.033515240997076035,
-0.0002823035465553403,
-0.02411012351512909,
0.01828024908900261,
0.03407488763332367,
0.02733580209314823,
-0.022501617670059204,
-0.0018200004706159234,
-0.0729561448097229,
0.044593531638383865,
-0.012162319384515285,
-0.022111931815743446,
-0.01607375033199787,
0.0351502001285553,
0.03898564353585243,
0.008517813868820667,
0.03457772731781006,
0.07843394577503204,
-0.03932258486747742,
-0.018503783270716667,
-0.05180562660098076,
-0.055587559938430786,
0.01560780219733715,
-0.03376393765211105,
0.06723692268133163,
0.03210415691137314,
-0.08808942139148712,
0.028333386406302452,
-0.03147914260625839,
-0.004368548281490803,
0.038996681571006775,
0.03431982174515724,
0.024734919890761375,
-0.0976952314376831,
-0.007593242451548576,
-0.07143741846084595,
0.013100343756377697,
-0.02870054915547371,
0.09534139931201935,
-0.015366407111287117,
-0.008665187284350395,
0.11346496641635895,
-0.012778814882040024,
0.06925034523010254,
0.018728366121649742,
-0.006321263499557972,
0.0380159392952919,
-0.024622472003102303,
-0.05271220579743385,
0.03348584845662117,
0.0527268685400486,
-0.01634962484240532,
0.009686623699963093,
-0.0009471399825997651,
0.020424745976924896,
-0.008264579810202122,
0.010212356224656105,
-0.013536236248910427,
0.028413506224751472,
0.030486049130558968,
-0.03834141045808792,
-0.011367452330887318,
-0.012215808033943176,
0.053985390812158585,
-0.08418887108564377,
0.08808974921703339,
-0.03794082626700401,
0.0026521054096519947,
-0.059438470751047134,
-0.03967086970806122,
-0.03384624421596527,
-0.0627087950706482,
0.028685979545116425,
-0.10752295702695847,
0.015695421025156975,
0.06557302922010422,
0.0727897435426712,
-9.250258001853324e-34,
-0.04190835729241371,
-0.05889368802309036,
-0.06662429124116898,
-0.054966095834970474,
0.051037728786468506,
0.023637276142835617,
0.04931848868727684,
-0.04769999533891678,
-0.06569614261388779,
-0.07526084035634995,
0.036894384771585464,
-0.02196667343378067,
0.0468246154487133,
-0.06602245569229126,
-0.005591054912656546,
0.055706992745399475,
-0.008632107637822628,
0.03926866874098778,
0.06832990050315857,
-0.021265726536512375,
0.0600886270403862,
0.016912119463086128,
-0.058586712926626205,
-0.01663985475897789,
0.03819666802883148,
0.02444126270711422,
-0.03224921599030495,
0.009325726889073849,
0.031200595200061798,
0.03721316531300545,
-0.0031441831961274147,
0.04429946094751358,
0.038714610040187836,
-0.036310482770204544,
-0.008896193467080593,
0.06271331012248993,
-0.006203760858625174,
-0.044825900346040726,
-0.014717141166329384,
-0.05995427444577217,
-0.019547641277313232,
-0.018634997308254242,
-0.07635939121246338,
-0.05102361738681793,
-0.10409656912088394,
-0.08793968707323074,
-0.026516953483223915,
-0.014006165787577629,
-0.10593189299106598,
-0.03729398548603058,
-0.005588700994849205,
0.03435654193162918,
-0.07216087728738785,
-0.006498776841908693,
0.0319700725376606,
-0.04936946555972099,
-0.00839718896895647,
0.09390284866094589,
-0.05766033008694649,
0.10031583905220032,
-0.04243394732475281,
0.021136827766895294,
-0.011725096963346004,
-0.06695959717035294,
0.013602024875581264,
0.07756318897008896,
-0.09972179681062698,
-0.05448177456855774,
0.10793755948543549,
0.001074844622053206,
-0.017990585416555405,
0.014021034352481365,
0.04948402941226959,
0.005066523794084787,
-0.05824323743581772,
0.016591062769293785,
-0.06486138701438904,
-0.019848912954330444,
0.07201366126537323,
0.06751996278762817,
-0.018581178039312363,
-0.011841656640172005,
-0.03350650891661644,
0.0589161142706871,
-0.09922897815704346,
0.007592467125505209,
0.027810588479042053,
0.0371113196015358,
-0.03598928079009056,
-0.009519928134977818,
-0.06091052293777466,
0.04810713976621628,
0.10890881717205048,
0.018087057396769524,
0.05548568814992905,
-1.3001239353163127e-33,
-0.0096068624407053,
-0.02322128787636757,
-0.034162990748882294,
0.046944085508584976,
-0.029825855046510696,
0.00552957970649004,
-0.043634843081235886,
-0.07790607213973999,
0.0016668097814545035,
-0.01293510477989912,
-0.04539790004491806,
0.02551962062716484,
0.05394655093550682,
0.023359935730695724,
0.141823872923851,
-0.10628826171159744,
0.05868356674909592,
0.008501768112182617,
-0.006322409026324749,
0.037418242543935776,
0.043273117393255234,
-0.01610344834625721,
0.02401217259466648,
0.05243223160505295,
0.0466875396668911,
0.009968427941203117,
-0.030243702232837677,
0.01719670370221138,
0.030751924961805344,
-0.03694380447268486,
-0.07548893988132477,
-0.06359325349330902,
0.04880493879318237,
0.03014092519879341,
0.018704814836382866,
-0.05257146805524826,
0.02480800822377205,
0.0875372439622879,
-0.043523069471120834,
-0.0008193663670681417,
0.11112602800130844,
-0.02305511385202408,
0.038980454206466675,
-0.004011236131191254,
0.06387048959732056,
-0.015453231520950794,
-0.031263191252946854,
0.06752468645572662,
-0.07512736320495605,
-0.06480399519205093,
0.04495282098650932,
-0.04587990418076515,
0.05624638497829437,
0.08780957013368607,
-0.0013310251524671912,
0.0675576850771904,
0.02356857992708683,
0.0904235765337944,
0.10453695803880692,
0.09683060646057129,
0.05146748572587967,
-0.016467880457639694,
-0.04379895702004433,
0.023372134193778038,
0.07383668422698975,
-0.00688428757712245,
0.02665672078728676,
-0.08352509886026382,
0.06573910266160965,
0.028115661814808846,
0.057213008403778076,
0.07776423543691635,
-0.011731998063623905,
0.03184835612773895,
0.08665580302476883,
0.0845813974738121,
-0.028110705316066742,
-0.05107070878148079,
-0.08940117061138153,
0.0019969523418694735,
-0.113436758518219,
0.1412845402956009,
-0.008378333412110806,
0.02115623466670513,
-0.012705406174063683,
0.03340768814086914,
0.04711843281984329,
-0.06399393826723099,
0.03501002863049507,
-0.11721574515104294,
-0.0026088543236255646,
0.03971929848194122,
-0.06155170500278473,
0.016112081706523895,
-0.021883642300963402,
-4.084379412461203e-8,
0.035868171602487564,
-0.050201594829559326,
0.052552152425050735,
0.02051536925137043,
0.06617087125778198,
0.018845707178115845,
-0.0702955573797226,
-0.04618744179606438,
0.029105402529239655,
0.022101806476712227,
0.06366978585720062,
0.03219228237867355,
-0.0009757260559126735,
-0.09820408374071121,
0.029069095849990845,
0.05145375058054924,
-0.05936971679329872,
-0.05793922394514084,
-0.026961013674736023,
-0.01839505136013031,
-0.022948365658521652,
-0.03716721385717392,
0.03556709736585617,
0.006790165323764086,
-0.08127686381340027,
0.024053532630205154,
0.10485915839672089,
-0.0023501531686633825,
-0.0000051407682803983334,
-0.028181932866573334,
-0.03156336024403572,
-0.027568217366933823,
0.0809064581990242,
0.020568223670125008,
-0.07638223469257355,
0.01413221936672926,
0.03811663016676903,
-0.05100104957818985,
0.066600002348423,
-0.02545318566262722,
0.07202152162790298,
-0.037683311849832535,
0.017098315060138702,
-0.010034971870481968,
-0.022670399397611618,
0.05485285818576813,
0.01919655129313469,
-0.022220291197299957,
-0.023984136059880257,
-0.026489606127142906,
-0.00866787787526846,
-0.06371204555034637,
-0.001802754821255803,
0.023676181212067604,
0.026889489963650703,
-0.04127195477485657,
0.011436612345278263,
-0.08896371722221375,
0.014604532159864902,
0.05273658409714699,
0.04675901681184769,
0.05502231419086456,
-0.06809248775243759,
0.0054575116373598576
] | null | null | null | null | null | null | null | [
-0.012150156311690807,
0.026429882273077965,
-0.04004248231649399,
0.00424690218642354,
-0.021987183019518852,
-0.050091132521629333,
0.11258283257484436,
-0.11144008487462997,
0.06904616951942444,
0.03807470202445984,
-0.061363622546195984,
0.11347489058971405,
0.052778586745262146,
-0.07597607374191284,
-0.0493471659719944,
0.011554060503840446,
0.14849841594696045,
-0.027885064482688904,
-0.012994891032576561,
0.07050078362226486,
-0.018856529146432877,
-0.016356227919459343,
0.039112649857997894,
-0.026642540469765663,
-0.03222837671637535,
-0.12060296535491943,
-0.07265608012676239,
0.005633509252220392,
0.05412896350026131,
-0.08367127180099487,
-0.0070922779850661755,
-0.05584927275776863,
-0.014133014716207981,
-0.05423986539244652,
-0.05020831525325775,
-0.07903271913528442,
0.011716267094016075,
-0.008447353728115559,
-0.050551772117614746,
0.07335173338651657,
-0.021897347643971443,
0.022357655689120293,
-0.081350177526474,
0.026090465486049652,
-0.04204961657524109,
-0.005414622835814953,
-0.004561873618513346,
0.03281182050704956,
0.0029835894238203764,
0.03221512585878372,
0.033515240997076035,
-0.0002823035465553403,
-0.02411012351512909,
0.01828024908900261,
0.03407488763332367,
0.02733580209314823,
-0.022501617670059204,
-0.0018200004706159234,
-0.0729561448097229,
0.044593531638383865,
-0.012162319384515285,
-0.022111931815743446,
-0.01607375033199787,
0.0351502001285553,
0.03898564353585243,
0.008517813868820667,
0.03457772731781006,
0.07843394577503204,
-0.03932258486747742,
-0.018503783270716667,
-0.05180562660098076,
-0.055587559938430786,
0.01560780219733715,
-0.03376393765211105,
0.06723692268133163,
0.03210415691137314,
-0.08808942139148712,
0.028333386406302452,
-0.03147914260625839,
-0.004368548281490803,
0.038996681571006775,
0.03431982174515724,
0.024734919890761375,
-0.0976952314376831,
-0.007593242451548576,
-0.07143741846084595,
0.013100343756377697,
-0.02870054915547371,
0.09534139931201935,
-0.015366407111287117,
-0.008665187284350395,
0.11346496641635895,
-0.012778814882040024,
0.06925034523010254,
0.018728366121649742,
-0.006321263499557972,
0.0380159392952919,
-0.024622472003102303,
-0.05271220579743385,
0.03348584845662117,
0.0527268685400486,
-0.01634962484240532,
0.009686623699963093,
-0.0009471399825997651,
0.020424745976924896,
-0.008264579810202122,
0.010212356224656105,
-0.013536236248910427,
0.028413506224751472,
0.030486049130558968,
-0.03834141045808792,
-0.011367452330887318,
-0.012215808033943176,
0.053985390812158585,
-0.08418887108564377,
0.08808974921703339,
-0.03794082626700401,
0.0026521054096519947,
-0.059438470751047134,
-0.03967086970806122,
-0.03384624421596527,
-0.0627087950706482,
0.028685979545116425,
-0.10752295702695847,
0.015695421025156975,
0.06557302922010422,
0.0727897435426712,
-9.250258001853324e-34,
-0.04190835729241371,
-0.05889368802309036,
-0.06662429124116898,
-0.054966095834970474,
0.051037728786468506,
0.023637276142835617,
0.04931848868727684,
-0.04769999533891678,
-0.06569614261388779,
-0.07526084035634995,
0.036894384771585464,
-0.02196667343378067,
0.0468246154487133,
-0.06602245569229126,
-0.005591054912656546,
0.055706992745399475,
-0.008632107637822628,
0.03926866874098778,
0.06832990050315857,
-0.021265726536512375,
0.0600886270403862,
0.016912119463086128,
-0.058586712926626205,
-0.01663985475897789,
0.03819666802883148,
0.02444126270711422,
-0.03224921599030495,
0.009325726889073849,
0.031200595200061798,
0.03721316531300545,
-0.0031441831961274147,
0.04429946094751358,
0.038714610040187836,
-0.036310482770204544,
-0.008896193467080593,
0.06271331012248993,
-0.006203760858625174,
-0.044825900346040726,
-0.014717141166329384,
-0.05995427444577217,
-0.019547641277313232,
-0.018634997308254242,
-0.07635939121246338,
-0.05102361738681793,
-0.10409656912088394,
-0.08793968707323074,
-0.026516953483223915,
-0.014006165787577629,
-0.10593189299106598,
-0.03729398548603058,
-0.005588700994849205,
0.03435654193162918,
-0.07216087728738785,
-0.006498776841908693,
0.0319700725376606,
-0.04936946555972099,
-0.00839718896895647,
0.09390284866094589,
-0.05766033008694649,
0.10031583905220032,
-0.04243394732475281,
0.021136827766895294,
-0.011725096963346004,
-0.06695959717035294,
0.013602024875581264,
0.07756318897008896,
-0.09972179681062698,
-0.05448177456855774,
0.10793755948543549,
0.001074844622053206,
-0.017990585416555405,
0.014021034352481365,
0.04948402941226959,
0.005066523794084787,
-0.05824323743581772,
0.016591062769293785,
-0.06486138701438904,
-0.019848912954330444,
0.07201366126537323,
0.06751996278762817,
-0.018581178039312363,
-0.011841656640172005,
-0.03350650891661644,
0.0589161142706871,
-0.09922897815704346,
0.007592467125505209,
0.027810588479042053,
0.0371113196015358,
-0.03598928079009056,
-0.009519928134977818,
-0.06091052293777466,
0.04810713976621628,
0.10890881717205048,
0.018087057396769524,
0.05548568814992905,
-1.3001239353163127e-33,
-0.0096068624407053,
-0.02322128787636757,
-0.034162990748882294,
0.046944085508584976,
-0.029825855046510696,
0.00552957970649004,
-0.043634843081235886,
-0.07790607213973999,
0.0016668097814545035,
-0.01293510477989912,
-0.04539790004491806,
0.02551962062716484,
0.05394655093550682,
0.023359935730695724,
0.141823872923851,
-0.10628826171159744,
0.05868356674909592,
0.008501768112182617,
-0.006322409026324749,
0.037418242543935776,
0.043273117393255234,
-0.01610344834625721,
0.02401217259466648,
0.05243223160505295,
0.0466875396668911,
0.009968427941203117,
-0.030243702232837677,
0.01719670370221138,
0.030751924961805344,
-0.03694380447268486,
-0.07548893988132477,
-0.06359325349330902,
0.04880493879318237,
0.03014092519879341,
0.018704814836382866,
-0.05257146805524826,
0.02480800822377205,
0.0875372439622879,
-0.043523069471120834,
-0.0008193663670681417,
0.11112602800130844,
-0.02305511385202408,
0.038980454206466675,
-0.004011236131191254,
0.06387048959732056,
-0.015453231520950794,
-0.031263191252946854,
0.06752468645572662,
-0.07512736320495605,
-0.06480399519205093,
0.04495282098650932,
-0.04587990418076515,
0.05624638497829437,
0.08780957013368607,
-0.0013310251524671912,
0.0675576850771904,
0.02356857992708683,
0.0904235765337944,
0.10453695803880692,
0.09683060646057129,
0.05146748572587967,
-0.016467880457639694,
-0.04379895702004433,
0.023372134193778038,
0.07383668422698975,
-0.00688428757712245,
0.02665672078728676,
-0.08352509886026382,
0.06573910266160965,
0.028115661814808846,
0.057213008403778076,
0.07776423543691635,
-0.011731998063623905,
0.03184835612773895,
0.08665580302476883,
0.0845813974738121,
-0.028110705316066742,
-0.05107070878148079,
-0.08940117061138153,
0.0019969523418694735,
-0.113436758518219,
0.1412845402956009,
-0.008378333412110806,
0.02115623466670513,
-0.012705406174063683,
0.03340768814086914,
0.04711843281984329,
-0.06399393826723099,
0.03501002863049507,
-0.11721574515104294,
-0.0026088543236255646,
0.03971929848194122,
-0.06155170500278473,
0.016112081706523895,
-0.021883642300963402,
-4.084379412461203e-8,
0.035868171602487564,
-0.050201594829559326,
0.052552152425050735,
0.02051536925137043,
0.06617087125778198,
0.018845707178115845,
-0.0702955573797226,
-0.04618744179606438,
0.029105402529239655,
0.022101806476712227,
0.06366978585720062,
0.03219228237867355,
-0.0009757260559126735,
-0.09820408374071121,
0.029069095849990845,
0.05145375058054924,
-0.05936971679329872,
-0.05793922394514084,
-0.026961013674736023,
-0.01839505136013031,
-0.022948365658521652,
-0.03716721385717392,
0.03556709736585617,
0.006790165323764086,
-0.08127686381340027,
0.024053532630205154,
0.10485915839672089,
-0.0023501531686633825,
-0.0000051407682803983334,
-0.028181932866573334,
-0.03156336024403572,
-0.027568217366933823,
0.0809064581990242,
0.020568223670125008,
-0.07638223469257355,
0.01413221936672926,
0.03811663016676903,
-0.05100104957818985,
0.066600002348423,
-0.02545318566262722,
0.07202152162790298,
-0.037683311849832535,
0.017098315060138702,
-0.010034971870481968,
-0.022670399397611618,
0.05485285818576813,
0.01919655129313469,
-0.022220291197299957,
-0.023984136059880257,
-0.026489606127142906,
-0.00866787787526846,
-0.06371204555034637,
-0.001802754821255803,
0.023676181212067604,
0.026889489963650703,
-0.04127195477485657,
0.011436612345278263,
-0.08896371722221375,
0.014604532159864902,
0.05273658409714699,
0.04675901681184769,
0.05502231419086456,
-0.06809248775243759,
0.0054575116373598576
] |
1401.1526 | Colleen Swanson | Colleen M. Swanson and Douglas R. Stinson | Additional Constructions to Solve the Generalized Russian Cards Problem
using Combinatorial Designs | null | null | null | null | cs.CR math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the generalized Russian cards problem, we have a card deck $X$ of $n$
cards and three participants, Alice, Bob, and Cathy, dealt $a$, $b$, and $c$
cards, respectively. Once the cards are dealt, Alice and Bob wish to privately
communicate their hands to each other via public announcements, without the
advantage of a shared secret or public key infrastructure. Cathy should remain
ignorant of all but her own cards after Alice and Bob have made their
announcements. Notions for Cathy's ignorance in the literature range from Cathy
not learning the fate of any individual card with certainty (weak $1$-security)
to not gaining any probabilistic advantage in guessing the fate of some set of
$\delta$ cards (perfect $\delta$-security). As we demonstrate, the generalized
Russian cards problem has close ties to the field of combinatorial designs, on
which we rely heavily, particularly for perfect security notions. Our main
result establishes an equivalence between perfectly $\delta$-secure strategies
and $(c+\delta)$-designs on $n$ points with block size $a$, when announcements
are chosen uniformly at random from the set of possible announcements. We also
provide construction methods and example solutions, including a construction
that yields perfect $1$-security against Cathy when $c=2$. We leverage a known
combinatorial design to construct a strategy with $a=8$, $b=13$, and $c=3$ that
is perfectly $2$-secure. Finally, we consider a variant of the problem that
yields solutions that are easy to construct and optimal with respect to both
the number of announcements and level of security achieved. Moreover, this is
the first method obtaining weak $\delta$-security that allows Alice to hold an
arbitrary number of cards and Cathy to hold a set of $c = \lfloor
\frac{a-\delta}{2} \rfloor$ cards. Alternatively, the construction yields
solutions for arbitrary $\delta$, $c$ and any $a \geq \delta + 2c$.
| [
{
"created": "Tue, 7 Jan 2014 22:18:05 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Aug 2014 17:41:40 GMT",
"version": "v2"
}
] | 2014-08-06 | [
[
"Swanson",
"Colleen M.",
""
],
[
"Stinson",
"Douglas R.",
""
]
] | [
-0.05818482115864754,
0.05327018350362778,
-0.022952456027269363,
-0.035182006657123566,
-0.0008166807238012552,
0.05793994665145874,
0.1416015774011612,
-0.041891731321811676,
0.10978386551141739,
0.023621944710612297,
-0.06364017724990845,
0.03039015643298626,
0.04379584640264511,
-0.037034038454294205,
0.009902729652822018,
-0.029492715373635292,
0.08601658046245575,
0.020045705139636993,
-0.01685296930372715,
0.10504139214754105,
-0.07564379274845123,
-0.10885930061340332,
0.05447819456458092,
0.03650367632508278,
-0.020870432257652283,
-0.07315731048583984,
0.0031106332316994667,
-0.04949405789375305,
0.010972765274345875,
-0.006009903270751238,
0.05070646107196808,
0.07630827277898788,
0.049354199320077896,
0.03140827640891075,
0.01691487990319729,
-0.009926583617925644,
-0.03958200663328171,
0.014568330720067024,
-0.0026727677322924137,
0.004141998942941427,
-0.04338847100734711,
0.003734940430149436,
-0.034936897456645966,
0.07781758159399033,
-0.08232284337282181,
-0.001997685991227627,
0.03267992287874222,
0.1177712008357048,
-0.10103876888751984,
-0.07452471554279327,
-0.03140651062130928,
0.006736226845532656,
-0.04641329497098923,
-0.06633881479501724,
0.05240709334611893,
-0.11365873366594315,
-0.06585168093442917,
-0.055131059139966965,
-0.028066854923963547,
0.03962913155555725,
0.05407418683171272,
-0.01798238418996334,
-0.07733870297670364,
0.0049009318463504314,
-0.03836894780397415,
0.021725960075855255,
0.04814869910478592,
0.09396529942750931,
0.014908326789736748,
0.0756399855017662,
0.06487063318490982,
0.046757180243730545,
-0.0628318190574646,
0.009386584162712097,
0.05227722227573395,
-0.0024342776741832495,
0.011203945614397526,
-0.048052795231342316,
-0.03917308524250984,
-0.035144608467817307,
-0.07712134718894958,
-0.056250881403684616,
0.0067586638033390045,
0.03688746690750122,
0.012584907002747059,
-0.06539613753557205,
-0.07228533178567886,
0.00000476920786240953,
0.12482043355703354,
-0.10606131702661514,
-0.08648668974637985,
0.0361044816672802,
0.03273993730545044,
0.01973857916891575,
0.04269912466406822,
-0.024910852313041687,
-0.015320174396038055,
-0.03594530001282692,
-0.03005695343017578,
0.08102100342512131,
-0.022601939737796783,
0.08755681663751602,
0.03361393138766289,
-0.039924345910549164,
0.05790308117866516,
0.05709238722920418,
-0.08546368032693863,
-0.010590920224785805,
0.005152672063559294,
-0.010315007530152798,
0.0012877810513600707,
-0.042511291801929474,
0.018911605700850487,
0.030979229137301445,
-0.056437473744153976,
-0.014199035242199898,
-0.03590206801891327,
0.036911796778440475,
0.02762765623629093,
0.010430901311337948,
0.07529276609420776,
-0.02054443582892418,
0.07975966483354568,
-0.0026036673225462437,
-0.07331713289022446,
0.012061113491654396,
0.0021075569093227386,
1.9248894482157658e-34,
0.04637135565280914,
0.00821160338819027,
0.012018087320029736,
0.02269982546567917,
0.03140590339899063,
0.008588679134845734,
0.04700696840882301,
-0.12974104285240173,
0.005463320761919022,
0.0799294263124466,
0.02308535762131214,
0.03950462490320206,
0.06374221295118332,
0.040935855358839035,
0.11119360476732254,
0.037631381303071976,
-0.051769647747278214,
0.005831518210470676,
0.0694836974143982,
-0.008188347332179546,
0.14332528412342072,
0.057617463171482086,
0.024578040465712547,
-0.028262466192245483,
0.08830899000167847,
-0.032082218676805496,
-0.008434240706264973,
-0.04099481925368309,
0.033796243369579315,
0.01852959208190441,
-0.07940785586833954,
0.012006992474198341,
0.07881088554859161,
0.034465670585632324,
-0.01561142597347498,
0.012516194954514503,
-0.03962283954024315,
-0.07826618105173111,
0.03613686561584473,
-0.04566169157624245,
0.007385480683296919,
-0.015045332722365856,
0.021478664129972458,
0.011848166584968567,
0.013263905420899391,
-0.007365309167653322,
0.0209345743060112,
0.026711871847510338,
-0.07355469465255737,
0.011506947688758373,
0.009161380119621754,
0.007181395310908556,
-0.037716131657361984,
-0.05242834985256195,
-0.04351288825273514,
-0.10281188786029816,
-0.015654196962714195,
0.061625998467206955,
0.016334891319274902,
0.024120083078742027,
-0.037312354892492294,
-0.01607714407145977,
-0.027146318927407265,
-0.03483249247074127,
-0.002871738513931632,
0.04147625342011452,
-0.0522654727101326,
-0.043918266892433167,
0.07859089225530624,
-0.041949205100536346,
-0.011940735392272472,
0.0002403299295110628,
-0.003834733972325921,
-0.04577310010790825,
-0.023090079426765442,
-0.002014219993725419,
0.009283478371798992,
0.049373697489500046,
0.020974960178136826,
-0.009834947064518929,
0.023612890392541885,
-0.012640628032386303,
0.01700870506465435,
0.014668043702840805,
-0.050398752093315125,
0.01390237919986248,
0.06066465377807617,
0.005293386988341808,
-0.07773805409669876,
0.012469973415136337,
-0.06459932774305344,
0.004333341494202614,
0.05838022008538246,
0.008993888273835182,
0.029682090505957603,
-3.092467395598242e-33,
-0.0820787250995636,
-0.07458427548408508,
-0.01493190135806799,
0.030950341373682022,
0.005104501731693745,
-0.08974109590053558,
-0.0052840691059827805,
-0.05408173426985741,
-0.013201157562434673,
-0.06062868610024452,
-0.11243607848882675,
0.0468946136534214,
0.03846703842282295,
0.027831751853227615,
0.0024709159042686224,
-0.11694686859846115,
0.13206186890602112,
0.07338311523199081,
-0.043055444955825806,
0.004953978583216667,
0.06836319714784622,
0.032132551074028015,
-0.10376696288585663,
0.08307749778032303,
0.07800202816724777,
0.018094882369041443,
-0.009880484081804752,
-0.05812826380133629,
-0.032500967383384705,
0.0068575055338442326,
-0.032472748309373856,
-0.10208315402269363,
-0.04437093064188957,
0.005220456514507532,
-0.007185458205640316,
-0.0026781184133142233,
0.014208982698619366,
0.14703428745269775,
-0.04690327122807503,
-0.009017267264425755,
-0.050366878509521484,
-0.07646136730909348,
-0.008729174733161926,
0.024289241060614586,
0.009956616908311844,
-0.06144748628139496,
-0.02266046032309532,
-0.027596933767199516,
-0.03933320939540863,
-0.012788371182978153,
-0.02931363135576248,
0.008222495205700397,
-0.0059828199446201324,
0.0023112662602216005,
-0.04681572690606117,
0.005171220283955336,
-0.017613505944609642,
-0.008610077202320099,
0.09138394147157669,
0.030660536140203476,
-0.024508070200681686,
0.0028830699156969786,
-0.04099658504128456,
0.015675097703933716,
0.01558684092015028,
-0.017740953713655472,
-0.04498647153377533,
0.014208880253136158,
0.05277075991034508,
-0.016330132260918617,
-0.030445164069533348,
0.03419612720608711,
-0.0958789810538292,
-0.009042822755873203,
-0.0055002435110509396,
0.143654465675354,
-0.03550245612859726,
0.0083216717466712,
-0.0015388267347589135,
0.0641498938202858,
-0.03367951884865761,
-0.014490954577922821,
0.029797988012433052,
-0.004122266545891762,
0.10192476958036423,
-0.01672438532114029,
0.06443971395492554,
-0.03571155667304993,
0.00646216468885541,
-0.06275579333305359,
0.033270254731178284,
-0.01937803253531456,
0.06849343329668045,
-0.002603559521958232,
-0.012306300923228264,
-4.6358273664282024e-8,
0.0034013076219707727,
0.021777650341391563,
-0.003893870860338211,
-0.027943452820181847,
0.05135870724916458,
-0.02244654856622219,
-0.05363229289650917,
-0.11183182150125504,
-0.09206452965736389,
-0.030487060546875,
0.062037937343120575,
0.11140384525060654,
-0.002407664665952325,
-0.022519513964653015,
-0.028976360335946083,
-0.04726586863398552,
-0.0011031440226361156,
-0.0770537257194519,
-0.057721443474292755,
0.008729726076126099,
0.005410127341747284,
-0.016728006303310394,
0.042962536215782166,
-0.03398590162396431,
-0.06511592864990234,
0.016956504434347153,
0.009070892818272114,
-0.09382346272468567,
0.05306779965758324,
0.1196538582444191,
-0.0070617590099573135,
-0.06632748991250992,
0.08000072091817856,
0.05597742646932602,
0.07463279366493225,
0.04929165914654732,
-0.04941052943468094,
0.0053237369284033775,
0.02461046166718006,
-0.013757976703345776,
0.05061786249279976,
-0.08310646563768387,
-0.029996657744050026,
-0.004352305084466934,
0.02673991210758686,
-0.045655276626348495,
-0.05677700787782669,
-0.12052026391029358,
-0.04369630292057991,
0.016930950805544853,
0.02759629301726818,
0.013422010466456413,
-0.04769310727715492,
0.03518782928586006,
0.06639507412910461,
0.024196665734052658,
-0.005751570221036673,
-0.05149446427822113,
0.06679993867874146,
0.010314137674868107,
0.00251763709820807,
0.049697503447532654,
-0.08487746119499207,
0.02065030299127102
] | null | null | null | null | null | null | null | [
-0.05818482115864754,
0.05327018350362778,
-0.022952456027269363,
-0.035182006657123566,
-0.0008166807238012552,
0.05793994665145874,
0.1416015774011612,
-0.041891731321811676,
0.10978386551141739,
0.023621944710612297,
-0.06364017724990845,
0.03039015643298626,
0.04379584640264511,
-0.037034038454294205,
0.009902729652822018,
-0.029492715373635292,
0.08601658046245575,
0.020045705139636993,
-0.01685296930372715,
0.10504139214754105,
-0.07564379274845123,
-0.10885930061340332,
0.05447819456458092,
0.03650367632508278,
-0.020870432257652283,
-0.07315731048583984,
0.0031106332316994667,
-0.04949405789375305,
0.010972765274345875,
-0.006009903270751238,
0.05070646107196808,
0.07630827277898788,
0.049354199320077896,
0.03140827640891075,
0.01691487990319729,
-0.009926583617925644,
-0.03958200663328171,
0.014568330720067024,
-0.0026727677322924137,
0.004141998942941427,
-0.04338847100734711,
0.003734940430149436,
-0.034936897456645966,
0.07781758159399033,
-0.08232284337282181,
-0.001997685991227627,
0.03267992287874222,
0.1177712008357048,
-0.10103876888751984,
-0.07452471554279327,
-0.03140651062130928,
0.006736226845532656,
-0.04641329497098923,
-0.06633881479501724,
0.05240709334611893,
-0.11365873366594315,
-0.06585168093442917,
-0.055131059139966965,
-0.028066854923963547,
0.03962913155555725,
0.05407418683171272,
-0.01798238418996334,
-0.07733870297670364,
0.0049009318463504314,
-0.03836894780397415,
0.021725960075855255,
0.04814869910478592,
0.09396529942750931,
0.014908326789736748,
0.0756399855017662,
0.06487063318490982,
0.046757180243730545,
-0.0628318190574646,
0.009386584162712097,
0.05227722227573395,
-0.0024342776741832495,
0.011203945614397526,
-0.048052795231342316,
-0.03917308524250984,
-0.035144608467817307,
-0.07712134718894958,
-0.056250881403684616,
0.0067586638033390045,
0.03688746690750122,
0.012584907002747059,
-0.06539613753557205,
-0.07228533178567886,
0.00000476920786240953,
0.12482043355703354,
-0.10606131702661514,
-0.08648668974637985,
0.0361044816672802,
0.03273993730545044,
0.01973857916891575,
0.04269912466406822,
-0.024910852313041687,
-0.015320174396038055,
-0.03594530001282692,
-0.03005695343017578,
0.08102100342512131,
-0.022601939737796783,
0.08755681663751602,
0.03361393138766289,
-0.039924345910549164,
0.05790308117866516,
0.05709238722920418,
-0.08546368032693863,
-0.010590920224785805,
0.005152672063559294,
-0.010315007530152798,
0.0012877810513600707,
-0.042511291801929474,
0.018911605700850487,
0.030979229137301445,
-0.056437473744153976,
-0.014199035242199898,
-0.03590206801891327,
0.036911796778440475,
0.02762765623629093,
0.010430901311337948,
0.07529276609420776,
-0.02054443582892418,
0.07975966483354568,
-0.0026036673225462437,
-0.07331713289022446,
0.012061113491654396,
0.0021075569093227386,
1.9248894482157658e-34,
0.04637135565280914,
0.00821160338819027,
0.012018087320029736,
0.02269982546567917,
0.03140590339899063,
0.008588679134845734,
0.04700696840882301,
-0.12974104285240173,
0.005463320761919022,
0.0799294263124466,
0.02308535762131214,
0.03950462490320206,
0.06374221295118332,
0.040935855358839035,
0.11119360476732254,
0.037631381303071976,
-0.051769647747278214,
0.005831518210470676,
0.0694836974143982,
-0.008188347332179546,
0.14332528412342072,
0.057617463171482086,
0.024578040465712547,
-0.028262466192245483,
0.08830899000167847,
-0.032082218676805496,
-0.008434240706264973,
-0.04099481925368309,
0.033796243369579315,
0.01852959208190441,
-0.07940785586833954,
0.012006992474198341,
0.07881088554859161,
0.034465670585632324,
-0.01561142597347498,
0.012516194954514503,
-0.03962283954024315,
-0.07826618105173111,
0.03613686561584473,
-0.04566169157624245,
0.007385480683296919,
-0.015045332722365856,
0.021478664129972458,
0.011848166584968567,
0.013263905420899391,
-0.007365309167653322,
0.0209345743060112,
0.026711871847510338,
-0.07355469465255737,
0.011506947688758373,
0.009161380119621754,
0.007181395310908556,
-0.037716131657361984,
-0.05242834985256195,
-0.04351288825273514,
-0.10281188786029816,
-0.015654196962714195,
0.061625998467206955,
0.016334891319274902,
0.024120083078742027,
-0.037312354892492294,
-0.01607714407145977,
-0.027146318927407265,
-0.03483249247074127,
-0.002871738513931632,
0.04147625342011452,
-0.0522654727101326,
-0.043918266892433167,
0.07859089225530624,
-0.041949205100536346,
-0.011940735392272472,
0.0002403299295110628,
-0.003834733972325921,
-0.04577310010790825,
-0.023090079426765442,
-0.002014219993725419,
0.009283478371798992,
0.049373697489500046,
0.020974960178136826,
-0.009834947064518929,
0.023612890392541885,
-0.012640628032386303,
0.01700870506465435,
0.014668043702840805,
-0.050398752093315125,
0.01390237919986248,
0.06066465377807617,
0.005293386988341808,
-0.07773805409669876,
0.012469973415136337,
-0.06459932774305344,
0.004333341494202614,
0.05838022008538246,
0.008993888273835182,
0.029682090505957603,
-3.092467395598242e-33,
-0.0820787250995636,
-0.07458427548408508,
-0.01493190135806799,
0.030950341373682022,
0.005104501731693745,
-0.08974109590053558,
-0.0052840691059827805,
-0.05408173426985741,
-0.013201157562434673,
-0.06062868610024452,
-0.11243607848882675,
0.0468946136534214,
0.03846703842282295,
0.027831751853227615,
0.0024709159042686224,
-0.11694686859846115,
0.13206186890602112,
0.07338311523199081,
-0.043055444955825806,
0.004953978583216667,
0.06836319714784622,
0.032132551074028015,
-0.10376696288585663,
0.08307749778032303,
0.07800202816724777,
0.018094882369041443,
-0.009880484081804752,
-0.05812826380133629,
-0.032500967383384705,
0.0068575055338442326,
-0.032472748309373856,
-0.10208315402269363,
-0.04437093064188957,
0.005220456514507532,
-0.007185458205640316,
-0.0026781184133142233,
0.014208982698619366,
0.14703428745269775,
-0.04690327122807503,
-0.009017267264425755,
-0.050366878509521484,
-0.07646136730909348,
-0.008729174733161926,
0.024289241060614586,
0.009956616908311844,
-0.06144748628139496,
-0.02266046032309532,
-0.027596933767199516,
-0.03933320939540863,
-0.012788371182978153,
-0.02931363135576248,
0.008222495205700397,
-0.0059828199446201324,
0.0023112662602216005,
-0.04681572690606117,
0.005171220283955336,
-0.017613505944609642,
-0.008610077202320099,
0.09138394147157669,
0.030660536140203476,
-0.024508070200681686,
0.0028830699156969786,
-0.04099658504128456,
0.015675097703933716,
0.01558684092015028,
-0.017740953713655472,
-0.04498647153377533,
0.014208880253136158,
0.05277075991034508,
-0.016330132260918617,
-0.030445164069533348,
0.03419612720608711,
-0.0958789810538292,
-0.009042822755873203,
-0.0055002435110509396,
0.143654465675354,
-0.03550245612859726,
0.0083216717466712,
-0.0015388267347589135,
0.0641498938202858,
-0.03367951884865761,
-0.014490954577922821,
0.029797988012433052,
-0.004122266545891762,
0.10192476958036423,
-0.01672438532114029,
0.06443971395492554,
-0.03571155667304993,
0.00646216468885541,
-0.06275579333305359,
0.033270254731178284,
-0.01937803253531456,
0.06849343329668045,
-0.002603559521958232,
-0.012306300923228264,
-4.6358273664282024e-8,
0.0034013076219707727,
0.021777650341391563,
-0.003893870860338211,
-0.027943452820181847,
0.05135870724916458,
-0.02244654856622219,
-0.05363229289650917,
-0.11183182150125504,
-0.09206452965736389,
-0.030487060546875,
0.062037937343120575,
0.11140384525060654,
-0.002407664665952325,
-0.022519513964653015,
-0.028976360335946083,
-0.04726586863398552,
-0.0011031440226361156,
-0.0770537257194519,
-0.057721443474292755,
0.008729726076126099,
0.005410127341747284,
-0.016728006303310394,
0.042962536215782166,
-0.03398590162396431,
-0.06511592864990234,
0.016956504434347153,
0.009070892818272114,
-0.09382346272468567,
0.05306779965758324,
0.1196538582444191,
-0.0070617590099573135,
-0.06632748991250992,
0.08000072091817856,
0.05597742646932602,
0.07463279366493225,
0.04929165914654732,
-0.04941052943468094,
0.0053237369284033775,
0.02461046166718006,
-0.013757976703345776,
0.05061786249279976,
-0.08310646563768387,
-0.029996657744050026,
-0.004352305084466934,
0.02673991210758686,
-0.045655276626348495,
-0.05677700787782669,
-0.12052026391029358,
-0.04369630292057991,
0.016930950805544853,
0.02759629301726818,
0.013422010466456413,
-0.04769310727715492,
0.03518782928586006,
0.06639507412910461,
0.024196665734052658,
-0.005751570221036673,
-0.05149446427822113,
0.06679993867874146,
0.010314137674868107,
0.00251763709820807,
0.049697503447532654,
-0.08487746119499207,
0.02065030299127102
] |
1401.1533 | Devis Pantano | Devis Pantano | Proposta di nuovi strumenti per comprendere come funziona la cognizione
(Novel tools to understand how cognition works) | In Italian | null | null | null | cs.AI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I think that the main reason why we do not understand the general principles
of how knowledge works (and probably also the reason why we have not yet
designed and built efficient machines capable of artificial intelligence), is
not the excessive complexity of cognitive phenomena, but the lack of the
conceptual and methodological tools to properly address the problem. It is like
trying to build up Physics without the concept of number, or to understand the
origin of species without including the mechanism of natural selection. In this
paper I propose some new conceptual and methodological tools, which seem to
offer a real opportunity to understand the logic of cognitive processes. I
propose a new method to properly treat the concepts of structure and schema,
and to perform on them operations of structural analysis. These operations
allow to move straightforwardly from concrete to more abstract representations.
With these tools I will suggest a definition for the concept of rule, of
regularity and of emergent phenomena. From the analysis of some important
aspects of the rules, I suggest to distinguish them in operational and
associative rules. I propose that associative rules assume a dominant role in
cognition. I also propose a definition for the concept of problem. At the end I
will briefly illustrate a possible general model for cognitive systems.
| [
{
"created": "Tue, 7 Jan 2014 22:38:18 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2014 22:26:33 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Apr 2014 19:39:37 GMT",
"version": "v3"
}
] | 2014-04-21 | [
[
"Pantano",
"Devis",
""
]
] | [
0.026203395798802376,
-0.021722493693232536,
-0.030237723141908646,
-0.0013732020743191242,
-0.04590737447142601,
-0.05775899440050125,
0.02091454714536667,
-0.000791903876233846,
0.047878529876470566,
0.11426447331905365,
-0.003107295138761401,
-0.07726474106311798,
0.013324734754860401,
0.11527515202760696,
0.06370799243450165,
0.042085327208042145,
-0.047543857246637344,
0.027334818616509438,
-0.09723316133022308,
0.011954951100051403,
0.07760656625032425,
-0.011281938292086124,
-0.032338183373212814,
0.014242785982787609,
-0.12232691794633865,
0.06681430339813232,
-0.03937913849949837,
-0.031169459223747253,
-0.02183391898870468,
-0.029750006273388863,
0.029808955267071724,
0.04962270334362984,
0.06918621063232422,
0.025509076192975044,
0.014267309568822384,
0.04217330366373062,
0.044243987649679184,
0.018057310953736305,
0.009489702060818672,
-0.002638645935803652,
-0.04996192082762718,
0.007536180783063173,
-0.02221917174756527,
0.029509635642170906,
0.07877665758132935,
0.08765859156847,
-0.03452087566256523,
-0.034433554857969284,
-0.06334041804075241,
-0.04239622503519058,
-0.14218607544898987,
0.04465906322002411,
-0.1022300124168396,
0.028802214190363884,
0.0744621604681015,
0.06230081990361214,
0.04801521450281143,
-0.07871858775615692,
-0.09008269757032394,
-0.13135166466236115,
0.023991120979189873,
-0.08471377938985825,
-0.06119389459490776,
0.015402047894895077,
-0.0028349801432341337,
0.05015764385461807,
-0.014845130033791065,
-0.03947954624891281,
0.0473049059510231,
0.060637153685092926,
-0.001798784825950861,
0.044848084449768066,
0.0028645156417042017,
0.04499029740691185,
0.07587375491857529,
0.0541752390563488,
-0.02331119030714035,
0.034544672816991806,
0.006173642817884684,
-0.0776645690202713,
0.01050869096070528,
0.040361322462558746,
0.024590974673628807,
0.034358445554971695,
0.0441906675696373,
0.009902214631438255,
0.020283764228224754,
0.005752654746174812,
-0.011328925378620625,
0.048552703112363815,
-0.03610726445913315,
-0.07866496592760086,
0.01637967675924301,
-0.040722183883190155,
0.12102626264095306,
0.025810837745666504,
0.03444813936948776,
-0.05382096767425537,
0.032141998410224915,
0.03249093145132065,
0.07262242585420609,
0.027968311682343483,
-0.019513145089149475,
0.004415563307702541,
0.006502701435238123,
-0.033671893179416656,
0.02125462517142296,
-0.02851717919111252,
0.04395919665694237,
-0.0526626780629158,
-0.04409336671233177,
-0.006344004534184933,
-0.02134351246058941,
0.0007575317868031561,
-0.07355225086212158,
-0.07540030777454376,
0.030144821852445602,
0.025430424138903618,
0.06489939242601395,
-0.038873229175806046,
0.11232807487249374,
0.019777484238147736,
0.013735059648752213,
0.06881903111934662,
0.07344859093427658,
-0.022745076566934586,
-0.07283929735422134,
-2.7236782672178197e-34,
-0.04677105322480202,
-0.06407907605171204,
-0.006669220514595509,
0.05097696930170059,
0.06332475692033768,
-0.025477919727563858,
-0.006095266435295343,
-0.029758067801594734,
0.05834796279668808,
0.060240473598241806,
-0.07439053058624268,
0.08607422560453415,
0.016838589683175087,
0.024035174399614334,
0.08786119520664215,
0.026864664629101753,
-0.06345842778682709,
0.026677170768380165,
0.011279398575425148,
-0.02823222614824772,
-0.002761099487543106,
0.02026432752609253,
0.029795000329613686,
-0.04621095210313797,
-0.00035710539668798447,
0.01801534928381443,
-0.007796587888151407,
-0.04224207252264023,
-0.05907982587814331,
0.012077207677066326,
-0.020506061613559723,
-0.003010954475030303,
-0.03252304717898369,
0.07367782294750214,
-0.03979407995939255,
-0.012625829316675663,
0.026788709685206413,
-0.03746632859110832,
0.02082923986017704,
-0.08475341647863388,
-0.03450709581375122,
0.017016062512993813,
-0.07651650905609131,
0.0569031685590744,
-0.038825228810310364,
0.030107198283076286,
0.03753069043159485,
0.01866466924548149,
-0.07265273481607437,
-0.03071579709649086,
-0.02663959190249443,
-0.07852824777364731,
0.13120988011360168,
-0.06210549920797348,
0.0013467572862282395,
0.02795693278312683,
-0.07282842695713043,
0.04488629102706909,
-0.016133885830640793,
-0.003966782707720995,
-0.03730766475200653,
0.10392478108406067,
0.013570808805525303,
0.043335020542144775,
-0.00160167645663023,
-0.03131796792149544,
-0.09756216406822205,
0.023329583927989006,
0.055857833474874496,
-0.007203083951026201,
0.02822142094373703,
0.05710950866341591,
-0.07518670707941055,
-0.0017748440150171518,
0.02440686523914337,
-0.02713894471526146,
0.0927584245800972,
-0.06666165590286255,
-0.11422895640134811,
0.023255132138729095,
-0.03999091312289238,
0.0074379825964570045,
0.007579240947961807,
-0.008525184355676174,
-0.04997152090072632,
0.025604957714676857,
0.06667744368314743,
-0.05181966349482536,
-0.03915738686919212,
-0.06125452741980553,
-0.07304399460554123,
-0.018800506368279457,
0.019765466451644897,
0.002507842145860195,
0.009026874788105488,
-3.167646871489051e-33,
-0.046658288687467575,
-0.0706522986292839,
-0.02258722111582756,
0.019352557137608528,
-0.020022710785269737,
-0.039619091898202896,
-0.0853656455874443,
-0.07197807729244232,
-0.02819487452507019,
-0.10470433533191681,
-0.010388938710093498,
0.004781269934028387,
0.007221427746117115,
0.0013172009494155645,
-0.01923089474439621,
-0.027445537969470024,
-0.07182924449443817,
-0.01720164343714714,
0.05189193785190582,
0.034620627760887146,
-0.009602086618542671,
0.0786358192563057,
-0.1363174170255661,
-0.0784846618771553,
0.0076387501321733,
0.05158849060535431,
-0.056076839566230774,
-0.03714069724082947,
-0.032126590609550476,
0.04609668627381325,
-0.08237965404987335,
-0.05402993783354759,
0.01534789614379406,
-0.0003773595963139087,
0.011818070895969868,
0.04086028039455414,
0.04256247729063034,
0.02787141501903534,
-0.0035393943544477224,
-0.006301748566329479,
-0.09759639948606491,
0.0492313876748085,
0.01292903907597065,
-0.08206256479024887,
0.100613534450531,
-0.04218088462948799,
0.02268551103770733,
0.0665995180606842,
-0.01875840313732624,
0.02422579936683178,
0.07904485613107681,
-0.04472518339753151,
-0.036857422441244125,
-0.09595686942338943,
-0.01704072393476963,
0.08768366277217865,
0.05852918699383736,
-0.058300428092479706,
0.030537815764546394,
0.049329135566949844,
-0.041428979486227036,
-0.00607988191768527,
-0.0049881888553500175,
0.026195861399173737,
0.03289066255092621,
0.04991164803504944,
-0.03368736431002617,
0.025709332898259163,
-0.013414239510893822,
-0.04996677115559578,
-0.0917510837316513,
0.00950806587934494,
-0.05871199816465378,
0.04332015663385391,
0.08126629889011383,
0.014849865809082985,
-0.08389534056186676,
-0.027111753821372986,
-0.002342083491384983,
0.004118223208934069,
0.01017231959849596,
-0.022481752559542656,
0.05046118423342705,
0.01655908301472664,
-0.04692748561501503,
-0.02279745228588581,
0.04443461075425148,
0.059832025319337845,
0.02114735171198845,
-0.044535428285598755,
0.008569970726966858,
0.0040910798124969006,
-0.020857909694314003,
0.07099385559558868,
-0.13943073153495789,
-6.06355143872861e-8,
-0.025996344164013863,
-0.03405578061938286,
0.10044369846582413,
-0.0018087729113176465,
0.07925257831811905,
0.04463520273566246,
0.012526453472673893,
0.015734096989035606,
-0.041937004774808884,
-0.04940994456410408,
0.014563916251063347,
0.058398470282554626,
-0.009095394052565098,
0.11591196060180664,
0.023648470640182495,
0.018327727913856506,
0.0400548055768013,
-0.020501216873526573,
-0.07504672557115555,
0.010458949953317642,
0.07549445331096649,
-0.03400127962231636,
-0.04342665523290634,
0.05145077407360077,
0.03217975050210953,
-0.10393253713846207,
-0.05345633253455162,
0.005606444086879492,
-0.03410801663994789,
0.035601768642663956,
0.001081214752048254,
0.08321433514356613,
0.003968020901083946,
0.06786065548658371,
0.06616849452257156,
0.0010001019109040499,
-0.03059133142232895,
-0.031626876443624496,
-0.04306080564856529,
-0.07359272241592407,
-0.007857196033000946,
0.025794507935643196,
-0.025498464703559875,
0.05014355480670929,
0.09043310582637787,
-0.027312111109495163,
-0.08656139671802521,
0.01582208089530468,
-0.03762878477573395,
0.060515664517879486,
-0.0002192040265072137,
0.10018819570541382,
-0.04183449223637581,
0.03197731450200081,
-0.005944587290287018,
-0.006382785737514496,
0.03530944883823395,
-0.029246311634778976,
-0.02666826918721199,
0.009132837876677513,
0.06757824867963791,
0.13081999123096466,
-0.001015437301248312,
-0.05279267951846123
] | null | null | null | null | null | null | null | [
0.026203395798802376,
-0.021722493693232536,
-0.030237723141908646,
-0.0013732020743191242,
-0.04590737447142601,
-0.05775899440050125,
0.02091454714536667,
-0.000791903876233846,
0.047878529876470566,
0.11426447331905365,
-0.003107295138761401,
-0.07726474106311798,
0.013324734754860401,
0.11527515202760696,
0.06370799243450165,
0.042085327208042145,
-0.047543857246637344,
0.027334818616509438,
-0.09723316133022308,
0.011954951100051403,
0.07760656625032425,
-0.011281938292086124,
-0.032338183373212814,
0.014242785982787609,
-0.12232691794633865,
0.06681430339813232,
-0.03937913849949837,
-0.031169459223747253,
-0.02183391898870468,
-0.029750006273388863,
0.029808955267071724,
0.04962270334362984,
0.06918621063232422,
0.025509076192975044,
0.014267309568822384,
0.04217330366373062,
0.044243987649679184,
0.018057310953736305,
0.009489702060818672,
-0.002638645935803652,
-0.04996192082762718,
0.007536180783063173,
-0.02221917174756527,
0.029509635642170906,
0.07877665758132935,
0.08765859156847,
-0.03452087566256523,
-0.034433554857969284,
-0.06334041804075241,
-0.04239622503519058,
-0.14218607544898987,
0.04465906322002411,
-0.1022300124168396,
0.028802214190363884,
0.0744621604681015,
0.06230081990361214,
0.04801521450281143,
-0.07871858775615692,
-0.09008269757032394,
-0.13135166466236115,
0.023991120979189873,
-0.08471377938985825,
-0.06119389459490776,
0.015402047894895077,
-0.0028349801432341337,
0.05015764385461807,
-0.014845130033791065,
-0.03947954624891281,
0.0473049059510231,
0.060637153685092926,
-0.001798784825950861,
0.044848084449768066,
0.0028645156417042017,
0.04499029740691185,
0.07587375491857529,
0.0541752390563488,
-0.02331119030714035,
0.034544672816991806,
0.006173642817884684,
-0.0776645690202713,
0.01050869096070528,
0.040361322462558746,
0.024590974673628807,
0.034358445554971695,
0.0441906675696373,
0.009902214631438255,
0.020283764228224754,
0.005752654746174812,
-0.011328925378620625,
0.048552703112363815,
-0.03610726445913315,
-0.07866496592760086,
0.01637967675924301,
-0.040722183883190155,
0.12102626264095306,
0.025810837745666504,
0.03444813936948776,
-0.05382096767425537,
0.032141998410224915,
0.03249093145132065,
0.07262242585420609,
0.027968311682343483,
-0.019513145089149475,
0.004415563307702541,
0.006502701435238123,
-0.033671893179416656,
0.02125462517142296,
-0.02851717919111252,
0.04395919665694237,
-0.0526626780629158,
-0.04409336671233177,
-0.006344004534184933,
-0.02134351246058941,
0.0007575317868031561,
-0.07355225086212158,
-0.07540030777454376,
0.030144821852445602,
0.025430424138903618,
0.06489939242601395,
-0.038873229175806046,
0.11232807487249374,
0.019777484238147736,
0.013735059648752213,
0.06881903111934662,
0.07344859093427658,
-0.022745076566934586,
-0.07283929735422134,
-2.7236782672178197e-34,
-0.04677105322480202,
-0.06407907605171204,
-0.006669220514595509,
0.05097696930170059,
0.06332475692033768,
-0.025477919727563858,
-0.006095266435295343,
-0.029758067801594734,
0.05834796279668808,
0.060240473598241806,
-0.07439053058624268,
0.08607422560453415,
0.016838589683175087,
0.024035174399614334,
0.08786119520664215,
0.026864664629101753,
-0.06345842778682709,
0.026677170768380165,
0.011279398575425148,
-0.02823222614824772,
-0.002761099487543106,
0.02026432752609253,
0.029795000329613686,
-0.04621095210313797,
-0.00035710539668798447,
0.01801534928381443,
-0.007796587888151407,
-0.04224207252264023,
-0.05907982587814331,
0.012077207677066326,
-0.020506061613559723,
-0.003010954475030303,
-0.03252304717898369,
0.07367782294750214,
-0.03979407995939255,
-0.012625829316675663,
0.026788709685206413,
-0.03746632859110832,
0.02082923986017704,
-0.08475341647863388,
-0.03450709581375122,
0.017016062512993813,
-0.07651650905609131,
0.0569031685590744,
-0.038825228810310364,
0.030107198283076286,
0.03753069043159485,
0.01866466924548149,
-0.07265273481607437,
-0.03071579709649086,
-0.02663959190249443,
-0.07852824777364731,
0.13120988011360168,
-0.06210549920797348,
0.0013467572862282395,
0.02795693278312683,
-0.07282842695713043,
0.04488629102706909,
-0.016133885830640793,
-0.003966782707720995,
-0.03730766475200653,
0.10392478108406067,
0.013570808805525303,
0.043335020542144775,
-0.00160167645663023,
-0.03131796792149544,
-0.09756216406822205,
0.023329583927989006,
0.055857833474874496,
-0.007203083951026201,
0.02822142094373703,
0.05710950866341591,
-0.07518670707941055,
-0.0017748440150171518,
0.02440686523914337,
-0.02713894471526146,
0.0927584245800972,
-0.06666165590286255,
-0.11422895640134811,
0.023255132138729095,
-0.03999091312289238,
0.0074379825964570045,
0.007579240947961807,
-0.008525184355676174,
-0.04997152090072632,
0.025604957714676857,
0.06667744368314743,
-0.05181966349482536,
-0.03915738686919212,
-0.06125452741980553,
-0.07304399460554123,
-0.018800506368279457,
0.019765466451644897,
0.002507842145860195,
0.009026874788105488,
-3.167646871489051e-33,
-0.046658288687467575,
-0.0706522986292839,
-0.02258722111582756,
0.019352557137608528,
-0.020022710785269737,
-0.039619091898202896,
-0.0853656455874443,
-0.07197807729244232,
-0.02819487452507019,
-0.10470433533191681,
-0.010388938710093498,
0.004781269934028387,
0.007221427746117115,
0.0013172009494155645,
-0.01923089474439621,
-0.027445537969470024,
-0.07182924449443817,
-0.01720164343714714,
0.05189193785190582,
0.034620627760887146,
-0.009602086618542671,
0.0786358192563057,
-0.1363174170255661,
-0.0784846618771553,
0.0076387501321733,
0.05158849060535431,
-0.056076839566230774,
-0.03714069724082947,
-0.032126590609550476,
0.04609668627381325,
-0.08237965404987335,
-0.05402993783354759,
0.01534789614379406,
-0.0003773595963139087,
0.011818070895969868,
0.04086028039455414,
0.04256247729063034,
0.02787141501903534,
-0.0035393943544477224,
-0.006301748566329479,
-0.09759639948606491,
0.0492313876748085,
0.01292903907597065,
-0.08206256479024887,
0.100613534450531,
-0.04218088462948799,
0.02268551103770733,
0.0665995180606842,
-0.01875840313732624,
0.02422579936683178,
0.07904485613107681,
-0.04472518339753151,
-0.036857422441244125,
-0.09595686942338943,
-0.01704072393476963,
0.08768366277217865,
0.05852918699383736,
-0.058300428092479706,
0.030537815764546394,
0.049329135566949844,
-0.041428979486227036,
-0.00607988191768527,
-0.0049881888553500175,
0.026195861399173737,
0.03289066255092621,
0.04991164803504944,
-0.03368736431002617,
0.025709332898259163,
-0.013414239510893822,
-0.04996677115559578,
-0.0917510837316513,
0.00950806587934494,
-0.05871199816465378,
0.04332015663385391,
0.08126629889011383,
0.014849865809082985,
-0.08389534056186676,
-0.027111753821372986,
-0.002342083491384983,
0.004118223208934069,
0.01017231959849596,
-0.022481752559542656,
0.05046118423342705,
0.01655908301472664,
-0.04692748561501503,
-0.02279745228588581,
0.04443461075425148,
0.059832025319337845,
0.02114735171198845,
-0.044535428285598755,
0.008569970726966858,
0.0040910798124969006,
-0.020857909694314003,
0.07099385559558868,
-0.13943073153495789,
-6.06355143872861e-8,
-0.025996344164013863,
-0.03405578061938286,
0.10044369846582413,
-0.0018087729113176465,
0.07925257831811905,
0.04463520273566246,
0.012526453472673893,
0.015734096989035606,
-0.041937004774808884,
-0.04940994456410408,
0.014563916251063347,
0.058398470282554626,
-0.009095394052565098,
0.11591196060180664,
0.023648470640182495,
0.018327727913856506,
0.0400548055768013,
-0.020501216873526573,
-0.07504672557115555,
0.010458949953317642,
0.07549445331096649,
-0.03400127962231636,
-0.04342665523290634,
0.05145077407360077,
0.03217975050210953,
-0.10393253713846207,
-0.05345633253455162,
0.005606444086879492,
-0.03410801663994789,
0.035601768642663956,
0.001081214752048254,
0.08321433514356613,
0.003968020901083946,
0.06786065548658371,
0.06616849452257156,
0.0010001019109040499,
-0.03059133142232895,
-0.031626876443624496,
-0.04306080564856529,
-0.07359272241592407,
-0.007857196033000946,
0.025794507935643196,
-0.025498464703559875,
0.05014355480670929,
0.09043310582637787,
-0.027312111109495163,
-0.08656139671802521,
0.01582208089530468,
-0.03762878477573395,
0.060515664517879486,
-0.0002192040265072137,
0.10018819570541382,
-0.04183449223637581,
0.03197731450200081,
-0.005944587290287018,
-0.006382785737514496,
0.03530944883823395,
-0.029246311634778976,
-0.02666826918721199,
0.009132837876677513,
0.06757824867963791,
0.13081999123096466,
-0.001015437301248312,
-0.05279267951846123
] |
1401.1534 | Edriss Titi | Adam Larios and Edriss S. Titi | Global Regularity vs. Finite-Time Singularities: Some Paradigms on the
Effect of Boundary Conditions and Certain Perturbations | null | null | null | null | math.AP physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In light of the question of finite-time blow-up vs. global well-posedness of
solutions to problems involving nonlinear partial differential equations, we
provide several cautionary examples which indicate that modifications to the
boundary conditions or to the nonlinearity of the equations can effect whether
the equations develop finite-time singularities. In particular, we aim to
underscore the idea that in analytical and computational investigations of the
blow-up of three-dimensional Euler and Navier-Stokes equations, the boundary
conditions may need to be taken into greater account. We also examine a
perturbation of the nonlinearity by dropping the advection term in the
evolution of the derivative of the solutions to the viscous Burgers equation,
which leads to the development of singularities not present in the original
equation, and indicates that there is a regularizing mechanism in part of the
nonlinearity. This simple analytical example corroborates recent computational
observations in the singularity formation of fluid equations.
| [
{
"created": "Tue, 7 Jan 2014 22:41:16 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Larios",
"Adam",
""
],
[
"Titi",
"Edriss S.",
""
]
] | [
-0.08217502385377884,
0.011198481544852257,
0.06926277279853821,
-0.006078248377889395,
0.05082479491829872,
-0.03616746515035629,
-0.07745427638292313,
0.0128480838611722,
0.020933013409376144,
0.0371721088886261,
0.014025374315679073,
0.04419012367725372,
-0.01934092864394188,
-0.010407490655779839,
-0.013286405242979527,
-0.032613009214401245,
-0.09852128475904465,
-0.014283785596489906,
-0.03847336024045944,
0.03543294593691826,
0.027911625802516937,
0.020897429436445236,
-0.051297057420015335,
0.07040820270776749,
0.010965457186102867,
-0.03435368090867996,
0.06981725990772247,
-0.0043796575628221035,
-0.03698475658893585,
0.017000712454319,
0.024243870750069618,
-0.0707089751958847,
-0.09827174991369247,
0.05652473494410515,
-0.011229985393583775,
-0.018062127754092216,
-0.027978412806987762,
0.06925202906131744,
-0.1420440971851349,
0.009855138137936592,
0.0005797471385449171,
0.06234901025891304,
-0.0013818849110975862,
-0.02395537495613098,
0.08773931115865707,
-0.013529165647923946,
-0.038599275052547455,
0.04055056348443031,
-0.0077686249278485775,
-0.01904359832406044,
-0.036452073603868484,
-0.022326089441776276,
-0.04110926762223244,
0.0022259519901126623,
0.018401719629764557,
-0.007968797348439693,
-0.020928042009472847,
0.028292139992117882,
0.01329758483916521,
0.022767333313822746,
-0.04153691232204437,
-0.005507206544280052,
0.030013257637619972,
-0.050357386469841,
0.023578103631734848,
-0.06353890150785446,
0.007269042544066906,
0.03482944890856743,
-0.07971329241991043,
0.15851646661758423,
-0.011607403866946697,
0.023642878979444504,
-0.05203394964337349,
0.00668520899489522,
0.0769021213054657,
0.008016319945454597,
0.019339807331562042,
0.04889809712767601,
-0.041358623653650284,
-0.04256623983383179,
0.08140263706445694,
-0.03842873126268387,
-0.1220967248082161,
-0.08762326091527939,
-0.09227859228849411,
0.01453191228210926,
-0.04149235412478447,
-0.09474482387304306,
0.0262750331312418,
-0.007818733341991901,
-0.053026698529720306,
-0.0501382052898407,
-0.02100154384970665,
-0.050004519522190094,
0.07266910374164581,
-0.06757239252328873,
0.05212739482522011,
0.06416156888008118,
0.08048941940069199,
-0.004104644525796175,
-0.0711875781416893,
-0.0910477414727211,
0.023916367441415787,
0.05692799761891365,
0.04835953935980797,
0.0543399453163147,
0.05670268088579178,
-0.022008411586284637,
-0.006451375316828489,
0.023049762472510338,
0.0202946737408638,
-0.033368438482284546,
0.06167115643620491,
-0.07180605828762054,
0.005325575824826956,
-0.07739217579364777,
0.06723161041736603,
-0.0810779258608818,
-0.014741868712008,
-0.008159472607076168,
0.03964297100901604,
-0.01353625301271677,
-0.004951622802764177,
0.03844853863120079,
-0.03358663618564606,
0.03946811333298683,
-0.008856091648340225,
-1.596511060551729e-33,
0.02909068576991558,
-0.000944943109061569,
-0.07339730113744736,
0.10660252720117569,
-0.042948849499225616,
-0.036461442708969116,
0.028230106458067894,
0.007755570579320192,
-0.01785610243678093,
0.07113311439752579,
-0.07612419873476028,
0.05234502628445625,
-0.03702240064740181,
0.05078043043613434,
-0.06780370324850082,
-0.04202132672071457,
0.04769936576485634,
0.033385831862688065,
0.007948555052280426,
0.04496372491121292,
0.06839442998170853,
-0.03338306397199631,
-0.05416598916053772,
-0.05730361118912697,
0.009758316911756992,
-0.036548178642988205,
-0.027619296684861183,
-0.010075366124510765,
0.018514957278966904,
-0.02238442376255989,
-0.004552893806248903,
0.008488412946462631,
-0.10653737932443619,
-0.0002529463672544807,
0.051597319543361664,
0.09496259689331055,
0.06012425944209099,
0.02123178169131279,
-0.022691017016768456,
0.05633328855037689,
-0.061004508286714554,
-0.02534414827823639,
-0.06163324788212776,
0.09667211771011353,
-0.0049470034427940845,
-0.0003332679334562272,
0.022858798503875732,
0.0386628732085228,
-0.001057024230249226,
-0.056550413370132446,
-0.01924833096563816,
0.004385686479508877,
-0.005187977105379105,
0.015150417573750019,
-0.020028430968523026,
0.0033353473991155624,
-0.00454075587913394,
-0.13171006739139557,
0.02025792934000492,
-0.014215970411896706,
0.04833317920565605,
0.046098675578832626,
-0.03627492114901543,
-0.072076715528965,
-0.034128595143556595,
0.03590259328484535,
0.1120171919465065,
0.04943392425775528,
0.056404873728752136,
-0.06032449007034302,
-0.04654447361826897,
-0.018156999722123146,
0.031840868294239044,
-0.03608916327357292,
0.06653930991888046,
0.00004539548172033392,
0.050727181136608124,
0.040660202503204346,
-0.02381858043372631,
-0.037667810916900635,
0.04032614082098007,
-0.025069963186979294,
0.0032080695964396,
0.0700167864561081,
-0.010845811106264591,
-0.021453196182847023,
-0.034712113440036774,
-0.028348367661237717,
-0.024291586130857468,
-0.032969456166028976,
-0.08241771906614304,
0.01896299235522747,
0.1291329562664032,
-0.07145626842975616,
-0.016355076804757118,
-4.014739324760285e-33,
-0.027149012312293053,
-0.028268352150917053,
-0.10892891883850098,
0.09646324068307877,
0.030634315684437752,
0.07109316438436508,
0.01714668795466423,
0.09207948297262192,
-0.06998160481452942,
-0.1999320387840271,
0.00452030822634697,
-0.04956101253628731,
-0.020436303690075874,
0.04519199952483177,
0.08641229569911957,
0.02806629240512848,
-0.07889052480459213,
0.010803011246025562,
-0.05519049987196922,
-0.033308759331703186,
-0.032096829265356064,
-0.0431232713162899,
0.048580728471279144,
0.008939223363995552,
-0.016370924189686775,
-0.012411227449774742,
-0.07475049793720245,
0.012690503150224686,
0.0009884684113785625,
0.08296516537666321,
-0.056305304169654846,
0.0008837239001877606,
-0.01300724409520626,
0.05552556738257408,
-0.052734099328517914,
0.13634569942951202,
0.016836654394865036,
0.05409984290599823,
0.0754372626543045,
-0.023961154744029045,
-0.010180247947573662,
-0.000008405016160395462,
0.06642790883779526,
0.06742917001247406,
-0.0013965795515105128,
0.03838539496064186,
0.06560655683279037,
-0.008987664245069027,
0.02831197716295719,
0.02582821063697338,
0.04040050506591797,
-0.02243931032717228,
0.009432071819901466,
0.009846777655184269,
-0.055226150900125504,
0.060795266181230545,
0.04605099931359291,
-0.052514124661684036,
0.012121607549488544,
0.04771609976887703,
-0.06693383306264877,
-0.037784140557050705,
0.031490981578826904,
-0.007278702221810818,
-0.040788743644952774,
-0.04094789922237396,
-0.10008210688829422,
-0.022911857813596725,
0.007412467617541552,
-0.03160645067691803,
-0.05510980635881424,
-0.037279658019542694,
0.019223513081669807,
-0.008968454785645008,
-0.0012392315547913313,
0.039526280015707016,
-0.03018510900437832,
-0.00481231976300478,
-0.07193750888109207,
0.04291493818163872,
0.02969185821712017,
0.04265203699469566,
0.08843094110488892,
0.020485952496528625,
0.03366696089506149,
-0.052760861814022064,
0.01449009869247675,
-0.08703862130641937,
-0.045916296541690826,
-0.02401253767311573,
-0.0017221046146005392,
-0.03397592157125473,
-0.03244362398982048,
-0.022558653727173805,
0.015364652499556541,
-5.403050096219886e-8,
0.061693403869867325,
0.06034785509109497,
-0.021881014108657837,
-0.033066533505916595,
0.009066347032785416,
0.006756598129868507,
-0.05214975029230118,
0.030694935470819473,
0.03551093116402626,
-0.059178564697504044,
-0.003603135235607624,
0.048758264631032944,
-0.06464895606040955,
-0.04926355928182602,
0.0040573785081505775,
0.047236934304237366,
-0.10130850970745087,
0.031170906499028206,
0.0029840737115591764,
0.02395433932542801,
0.018142664805054665,
0.11809298396110535,
-0.09901448339223862,
-0.06451044231653214,
0.04553407430648804,
0.012244714424014091,
-0.020335368812084198,
-0.03809746354818344,
-0.03496583178639412,
-0.02093593217432499,
-0.026258530095219612,
0.08817636221647263,
-0.06777345389127731,
0.013490923680365086,
0.04150739312171936,
0.02880636602640152,
0.023156391456723213,
0.07841050624847412,
-0.07064452022314072,
-0.04590965807437897,
-0.04286033660173416,
0.1199304610490799,
-0.029223978519439697,
-0.02532299980521202,
0.0580587200820446,
0.08891893923282623,
-0.011180276982486248,
-0.018665123730897903,
-0.05049106478691101,
0.031567662954330444,
-0.050929125398397446,
0.05709923803806305,
0.021911822259426117,
0.02982359752058983,
0.05194156989455223,
-0.055613502860069275,
-0.09995213150978088,
-0.05732155591249466,
0.040072306990623474,
-0.0614267960190773,
-0.03756504878401756,
0.09714284539222717,
0.06960906833410263,
0.03864535689353943
] | null | null | null | null | null | null | null | [
-0.08217502385377884,
0.011198481544852257,
0.06926277279853821,
-0.006078248377889395,
0.05082479491829872,
-0.03616746515035629,
-0.07745427638292313,
0.0128480838611722,
0.020933013409376144,
0.0371721088886261,
0.014025374315679073,
0.04419012367725372,
-0.01934092864394188,
-0.010407490655779839,
-0.013286405242979527,
-0.032613009214401245,
-0.09852128475904465,
-0.014283785596489906,
-0.03847336024045944,
0.03543294593691826,
0.027911625802516937,
0.020897429436445236,
-0.051297057420015335,
0.07040820270776749,
0.010965457186102867,
-0.03435368090867996,
0.06981725990772247,
-0.0043796575628221035,
-0.03698475658893585,
0.017000712454319,
0.024243870750069618,
-0.0707089751958847,
-0.09827174991369247,
0.05652473494410515,
-0.011229985393583775,
-0.018062127754092216,
-0.027978412806987762,
0.06925202906131744,
-0.1420440971851349,
0.009855138137936592,
0.0005797471385449171,
0.06234901025891304,
-0.0013818849110975862,
-0.02395537495613098,
0.08773931115865707,
-0.013529165647923946,
-0.038599275052547455,
0.04055056348443031,
-0.0077686249278485775,
-0.01904359832406044,
-0.036452073603868484,
-0.022326089441776276,
-0.04110926762223244,
0.0022259519901126623,
0.018401719629764557,
-0.007968797348439693,
-0.020928042009472847,
0.028292139992117882,
0.01329758483916521,
0.022767333313822746,
-0.04153691232204437,
-0.005507206544280052,
0.030013257637619972,
-0.050357386469841,
0.023578103631734848,
-0.06353890150785446,
0.007269042544066906,
0.03482944890856743,
-0.07971329241991043,
0.15851646661758423,
-0.011607403866946697,
0.023642878979444504,
-0.05203394964337349,
0.00668520899489522,
0.0769021213054657,
0.008016319945454597,
0.019339807331562042,
0.04889809712767601,
-0.041358623653650284,
-0.04256623983383179,
0.08140263706445694,
-0.03842873126268387,
-0.1220967248082161,
-0.08762326091527939,
-0.09227859228849411,
0.01453191228210926,
-0.04149235412478447,
-0.09474482387304306,
0.0262750331312418,
-0.007818733341991901,
-0.053026698529720306,
-0.0501382052898407,
-0.02100154384970665,
-0.050004519522190094,
0.07266910374164581,
-0.06757239252328873,
0.05212739482522011,
0.06416156888008118,
0.08048941940069199,
-0.004104644525796175,
-0.0711875781416893,
-0.0910477414727211,
0.023916367441415787,
0.05692799761891365,
0.04835953935980797,
0.0543399453163147,
0.05670268088579178,
-0.022008411586284637,
-0.006451375316828489,
0.023049762472510338,
0.0202946737408638,
-0.033368438482284546,
0.06167115643620491,
-0.07180605828762054,
0.005325575824826956,
-0.07739217579364777,
0.06723161041736603,
-0.0810779258608818,
-0.014741868712008,
-0.008159472607076168,
0.03964297100901604,
-0.01353625301271677,
-0.004951622802764177,
0.03844853863120079,
-0.03358663618564606,
0.03946811333298683,
-0.008856091648340225,
-1.596511060551729e-33,
0.02909068576991558,
-0.000944943109061569,
-0.07339730113744736,
0.10660252720117569,
-0.042948849499225616,
-0.036461442708969116,
0.028230106458067894,
0.007755570579320192,
-0.01785610243678093,
0.07113311439752579,
-0.07612419873476028,
0.05234502628445625,
-0.03702240064740181,
0.05078043043613434,
-0.06780370324850082,
-0.04202132672071457,
0.04769936576485634,
0.033385831862688065,
0.007948555052280426,
0.04496372491121292,
0.06839442998170853,
-0.03338306397199631,
-0.05416598916053772,
-0.05730361118912697,
0.009758316911756992,
-0.036548178642988205,
-0.027619296684861183,
-0.010075366124510765,
0.018514957278966904,
-0.02238442376255989,
-0.004552893806248903,
0.008488412946462631,
-0.10653737932443619,
-0.0002529463672544807,
0.051597319543361664,
0.09496259689331055,
0.06012425944209099,
0.02123178169131279,
-0.022691017016768456,
0.05633328855037689,
-0.061004508286714554,
-0.02534414827823639,
-0.06163324788212776,
0.09667211771011353,
-0.0049470034427940845,
-0.0003332679334562272,
0.022858798503875732,
0.0386628732085228,
-0.001057024230249226,
-0.056550413370132446,
-0.01924833096563816,
0.004385686479508877,
-0.005187977105379105,
0.015150417573750019,
-0.020028430968523026,
0.0033353473991155624,
-0.00454075587913394,
-0.13171006739139557,
0.02025792934000492,
-0.014215970411896706,
0.04833317920565605,
0.046098675578832626,
-0.03627492114901543,
-0.072076715528965,
-0.034128595143556595,
0.03590259328484535,
0.1120171919465065,
0.04943392425775528,
0.056404873728752136,
-0.06032449007034302,
-0.04654447361826897,
-0.018156999722123146,
0.031840868294239044,
-0.03608916327357292,
0.06653930991888046,
0.00004539548172033392,
0.050727181136608124,
0.040660202503204346,
-0.02381858043372631,
-0.037667810916900635,
0.04032614082098007,
-0.025069963186979294,
0.0032080695964396,
0.0700167864561081,
-0.010845811106264591,
-0.021453196182847023,
-0.034712113440036774,
-0.028348367661237717,
-0.024291586130857468,
-0.032969456166028976,
-0.08241771906614304,
0.01896299235522747,
0.1291329562664032,
-0.07145626842975616,
-0.016355076804757118,
-4.014739324760285e-33,
-0.027149012312293053,
-0.028268352150917053,
-0.10892891883850098,
0.09646324068307877,
0.030634315684437752,
0.07109316438436508,
0.01714668795466423,
0.09207948297262192,
-0.06998160481452942,
-0.1999320387840271,
0.00452030822634697,
-0.04956101253628731,
-0.020436303690075874,
0.04519199952483177,
0.08641229569911957,
0.02806629240512848,
-0.07889052480459213,
0.010803011246025562,
-0.05519049987196922,
-0.033308759331703186,
-0.032096829265356064,
-0.0431232713162899,
0.048580728471279144,
0.008939223363995552,
-0.016370924189686775,
-0.012411227449774742,
-0.07475049793720245,
0.012690503150224686,
0.0009884684113785625,
0.08296516537666321,
-0.056305304169654846,
0.0008837239001877606,
-0.01300724409520626,
0.05552556738257408,
-0.052734099328517914,
0.13634569942951202,
0.016836654394865036,
0.05409984290599823,
0.0754372626543045,
-0.023961154744029045,
-0.010180247947573662,
-0.000008405016160395462,
0.06642790883779526,
0.06742917001247406,
-0.0013965795515105128,
0.03838539496064186,
0.06560655683279037,
-0.008987664245069027,
0.02831197716295719,
0.02582821063697338,
0.04040050506591797,
-0.02243931032717228,
0.009432071819901466,
0.009846777655184269,
-0.055226150900125504,
0.060795266181230545,
0.04605099931359291,
-0.052514124661684036,
0.012121607549488544,
0.04771609976887703,
-0.06693383306264877,
-0.037784140557050705,
0.031490981578826904,
-0.007278702221810818,
-0.040788743644952774,
-0.04094789922237396,
-0.10008210688829422,
-0.022911857813596725,
0.007412467617541552,
-0.03160645067691803,
-0.05510980635881424,
-0.037279658019542694,
0.019223513081669807,
-0.008968454785645008,
-0.0012392315547913313,
0.039526280015707016,
-0.03018510900437832,
-0.00481231976300478,
-0.07193750888109207,
0.04291493818163872,
0.02969185821712017,
0.04265203699469566,
0.08843094110488892,
0.020485952496528625,
0.03366696089506149,
-0.052760861814022064,
0.01449009869247675,
-0.08703862130641937,
-0.045916296541690826,
-0.02401253767311573,
-0.0017221046146005392,
-0.03397592157125473,
-0.03244362398982048,
-0.022558653727173805,
0.015364652499556541,
-5.403050096219886e-8,
0.061693403869867325,
0.06034785509109497,
-0.021881014108657837,
-0.033066533505916595,
0.009066347032785416,
0.006756598129868507,
-0.05214975029230118,
0.030694935470819473,
0.03551093116402626,
-0.059178564697504044,
-0.003603135235607624,
0.048758264631032944,
-0.06464895606040955,
-0.04926355928182602,
0.0040573785081505775,
0.047236934304237366,
-0.10130850970745087,
0.031170906499028206,
0.0029840737115591764,
0.02395433932542801,
0.018142664805054665,
0.11809298396110535,
-0.09901448339223862,
-0.06451044231653214,
0.04553407430648804,
0.012244714424014091,
-0.020335368812084198,
-0.03809746354818344,
-0.03496583178639412,
-0.02093593217432499,
-0.026258530095219612,
0.08817636221647263,
-0.06777345389127731,
0.013490923680365086,
0.04150739312171936,
0.02880636602640152,
0.023156391456723213,
0.07841050624847412,
-0.07064452022314072,
-0.04590965807437897,
-0.04286033660173416,
0.1199304610490799,
-0.029223978519439697,
-0.02532299980521202,
0.0580587200820446,
0.08891893923282623,
-0.011180276982486248,
-0.018665123730897903,
-0.05049106478691101,
0.031567662954330444,
-0.050929125398397446,
0.05709923803806305,
0.021911822259426117,
0.02982359752058983,
0.05194156989455223,
-0.055613502860069275,
-0.09995213150978088,
-0.05732155591249466,
0.040072306990623474,
-0.0614267960190773,
-0.03756504878401756,
0.09714284539222717,
0.06960906833410263,
0.03864535689353943
] |
1401.1541 | Lorna Stewart | Lorna Stewart and Richard Anthony Valenzano | On polygon numbers of circle graphs and distance hereditary graphs | 27 pages, 8 figures | null | null | null | cs.DM math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Circle graphs are intersection graphs of chords in a circle and $k$-polygon
graphs are intersection graphs of chords in a convex $k$-sided polygon where
each chord has its endpoints on distinct sides. The $k$-polygon graphs, for $k
\ge 2$, form an infinite chain of graph classes, each of which contains the
class of permutation graphs. The union of all of those graph classes is the
class of circle graphs. The polygon number $\gp(G)$ of a circle graph $G$ is
the minimum $k$ such that $G$ is a $k$-polygon graph. Given a circle graph $G$
and an integer $k$, determining whether $\gp(G) \le k$ is NP-complete, while
the problem is solvable in polynomial time for fixed $k$.
In this paper, we show that $\gp(G)$ is always at least as large as the
asteroidal number of $G$, and equal to the asteroidal number of $G$ when $G$ is
a connected distance hereditary graph that is not a clique. This implies that
the classes of distance hereditary permutation graphs and distance hereditary
AT-free graphs are the same, and we give a forbidden subgraph characterization
of that class. We also establish the following upper bounds: $\gp(G)$ is at
most the clique cover number of $G$ if $G$ is not a clique, at most 1 plus the
independence number of $G$, and at most $\lceil n/2 \rceil$ where $n \ge 3$ is
the number of vertices of $G$. Our results lead to linear time algorithms for
finding the minimum number of corners that must be added to a given circle
representation to produce a polygon representation, and for finding the
asteroidal number of a distance hereditary graph, both of which are
improvements over previous algorithms for those problems.
| [
{
"created": "Tue, 7 Jan 2014 23:17:25 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 2017 21:38:49 GMT",
"version": "v2"
}
] | 2017-10-06 | [
[
"Stewart",
"Lorna",
""
],
[
"Valenzano",
"Richard Anthony",
""
]
] | [
-0.018054809421300888,
0.03296494483947754,
-0.039077382534742355,
-0.03601944446563721,
0.0012020682916045189,
-0.002247509779408574,
0.05617820844054222,
-0.015694471076130867,
0.05393429845571518,
0.07029712945222855,
-0.05713407322764397,
0.019669637084007263,
0.01762469857931137,
0.032405611127614975,
-0.019396178424358368,
0.05306646600365639,
0.028425607830286026,
0.0028031847905367613,
-0.007190975826233625,
0.05095721036195755,
0.02550908923149109,
-0.0432913638651371,
-0.011064776219427586,
0.08873775601387024,
-0.06180689111351967,
-0.0005267700180411339,
-0.004203024320304394,
-0.03492038697004318,
0.00879561249166727,
0.03366769850254059,
-0.07631045579910278,
0.04918751120567322,
0.0741041824221611,
0.01538271363824606,
0.009452857077121735,
0.02923908643424511,
-0.0692664235830307,
0.06618106365203857,
0.024112677201628685,
0.018153049051761627,
0.0425589494407177,
0.038358889520168304,
0.040411509573459625,
-0.0027554496191442013,
-0.023488204926252365,
0.020855365321040154,
-0.10289911180734634,
0.0070535349659621716,
-0.08115237206220627,
-0.08584611117839813,
-0.006134919356554747,
-0.07671857625246048,
-0.08833464235067368,
-0.042459823191165924,
0.05720994994044304,
-0.04818536341190338,
-0.048953812569379807,
-0.047734055668115616,
0.02886015735566616,
-0.012922683730721474,
0.05592353269457817,
-0.08083823323249817,
-0.0430070236325264,
-0.013381662778556347,
-0.051617857068777084,
0.016059620305895805,
0.10702048242092133,
-0.03393200784921646,
-0.0800958126783371,
0.06146980822086334,
0.044816289097070694,
0.11133510619401932,
-0.11915140599012375,
0.05639445409178734,
0.04219681769609451,
0.09926333278417587,
0.01697603426873684,
0.0442783422768116,
-0.09187161922454834,
-0.10500019043684006,
-0.044165629893541336,
0.002017059363424778,
0.04676973819732666,
-0.021998535841703415,
-0.01499753724783659,
0.025190023705363274,
-0.0029066549614071846,
-0.015278447419404984,
0.006834551226347685,
-0.032852962613105774,
-0.10674377530813217,
0.013387334533035755,
0.00891025923192501,
0.00575075251981616,
-0.08008742332458496,
0.014580901712179184,
-0.009543327614665031,
0.007913921028375626,
0.03650565445423126,
0.03704734146595001,
-0.016776535660028458,
-0.0058567700907588005,
0.030244257301092148,
-0.05134762451052666,
0.003283583326265216,
0.09259108453989029,
-0.05632539466023445,
-0.01619737595319748,
0.027425268664956093,
-0.011152478866279125,
-0.044746436178684235,
0.054209139198064804,
-0.010293874889612198,
0.06269724667072296,
0.0113343121483922,
0.007249285001307726,
0.07706473022699356,
-0.008956256322562695,
0.08275921642780304,
0.08760667592287064,
-0.010187193751335144,
-0.014545760117471218,
-0.05151847004890442,
-0.014129993505775928,
-0.004171314649283886,
-0.01862284727394581,
0.009450881741940975,
3.2149173564264536e-34,
0.05434804409742355,
0.03846991807222366,
0.04046309366822243,
-0.0673796609044075,
0.04251093789935112,
-0.028808439150452614,
-0.020795736461877823,
-0.04448521509766579,
0.05083264037966728,
0.021564684808254242,
-0.08198758959770203,
0.015402755700051785,
0.10375085473060608,
-0.00996330939233303,
0.12219289690256119,
0.0015288018621504307,
0.03424447774887085,
-0.055906742811203,
0.005818245001137257,
-0.05844544991850853,
0.022734535858035088,
0.032943397760391235,
0.015543781220912933,
0.037920255213975906,
-0.011114407330751419,
0.047913048416376114,
0.05013906583189964,
-0.04960453882813454,
0.03534184396266937,
0.00969905685633421,
-0.07782088965177536,
0.0021019845735281706,
0.07230059802532196,
0.11363811790943146,
-0.045265790075063705,
0.013964137062430382,
-0.04893813282251358,
-0.029511822387576103,
-0.017566880211234093,
-0.006091659888625145,
-0.053797684609889984,
-0.04203302040696144,
-0.03501563146710396,
-0.024042490869760513,
0.03738021478056908,
-0.03191504627466202,
0.06807635724544525,
0.032887063920497894,
-0.06928189843893051,
0.0666455402970314,
-0.038946617394685745,
0.06614208221435547,
-0.05088592320680618,
0.013377262279391289,
-0.0631444975733757,
-0.0717855915427208,
0.05020248144865036,
0.03297483175992966,
-0.04433554410934448,
0.08824385702610016,
0.07620249688625336,
-0.001095283543691039,
0.0028039906173944473,
-0.004938996862620115,
-0.0359932966530323,
0.01757998950779438,
-0.07205501198768616,
-0.029799601063132286,
0.07626957446336746,
-0.1039077639579773,
-0.01902678608894348,
0.018933681771159172,
-0.06542885303497314,
0.00562508637085557,
0.03317209705710411,
-0.009869282133877277,
-0.03241870552301407,
-0.06921747326850891,
-0.02572358399629593,
0.033535704016685486,
-0.10614319145679474,
-0.06959506124258041,
-0.00943730864673853,
-0.10595622658729553,
-0.07919960469007492,
-0.07501650601625443,
0.07062917947769165,
0.03883498162031174,
0.008272659964859486,
0.007650027982890606,
-0.0029404405504465103,
-0.03365997597575188,
0.040096599608659744,
0.07229997962713242,
0.04218775033950806,
-1.7785824621956314e-33,
-0.02451547607779503,
-0.03069796785712242,
0.07063587009906769,
0.07877442240715027,
0.0433141253888607,
-0.029212944209575653,
0.008143370971083641,
-0.023783748969435692,
-0.12866918742656708,
-0.045500561594963074,
-0.031543951481580734,
0.017491968348622322,
0.09470605105161667,
0.03551539033651352,
0.007221681531518698,
0.02450602501630783,
-0.04933469742536545,
0.0351492278277874,
-0.06601235270500183,
-0.0032000031787902117,
0.03640032559633255,
0.0488576702773571,
-0.035182852298021317,
0.02977164089679718,
0.04451526328921318,
0.06392727792263031,
-0.06664025783538818,
-0.024480072781443596,
-0.006430275272578001,
0.08242160081863403,
-0.014651117846369743,
-0.05321037024259567,
-0.06455578655004501,
-0.007554893847554922,
0.033550456166267395,
-0.015425008721649647,
0.038184769451618195,
0.01937144622206688,
-0.009153748862445354,
0.055254772305488586,
-0.021851541474461555,
-0.02597910538315773,
-0.0165413748472929,
0.04385816678404808,
0.018707040697336197,
0.020162366330623627,
-0.0067056287080049515,
0.0023889788426458836,
-0.008692080155014992,
-0.054143186658620834,
-0.028535712510347366,
0.07436492294073105,
0.14471176266670227,
0.0005644426564686,
0.03989686816930771,
-0.021591996774077415,
0.0006069965311326087,
0.09160418808460236,
-0.02701866813004017,
-0.04826915264129639,
-0.06384371966123581,
-0.037149444222450256,
0.018649687990546227,
0.1467495709657669,
0.029703350737690926,
0.002336716977879405,
0.03212572634220123,
-0.04265860468149185,
-0.043689753860235214,
0.07330344617366791,
-0.034407250583171844,
0.04185796156525612,
-0.07503532618284225,
-0.022001532837748528,
-0.0013238554820418358,
0.08172439783811569,
0.034458234906196594,
0.05454311519861221,
-0.04647815227508545,
0.016403980553150177,
-0.08454123139381409,
-0.0011467647273093462,
0.026925329118967056,
-0.01848919689655304,
-0.03940333053469658,
-0.08929669111967087,
0.06867904216051102,
-0.037370529025793076,
0.0018029988277703524,
-0.016056986525654793,
0.0054328287951648235,
0.01533557940274477,
-0.02536856010556221,
0.007920956239104271,
0.07130204886198044,
-3.979832996492405e-8,
-0.045716334134340286,
-0.04712153971195221,
-0.029651546850800514,
-0.010185113176703453,
0.10540099442005157,
-0.028347235172986984,
0.10008905082941055,
0.08168143779039383,
-0.10491403192281723,
0.13040517270565033,
0.09323684126138687,
0.10033782571554184,
0.016080819070339203,
0.1184237152338028,
-0.057131242007017136,
-0.005076256580650806,
0.05078135058283806,
-0.04756268113851547,
0.03596537560224533,
-0.0010681971907615662,
-0.099761463701725,
-0.08718447387218475,
-0.010913537815213203,
-0.00433683954179287,
-0.042520567774772644,
-0.08840563893318176,
-0.015537003986537457,
-0.03318432718515396,
-0.004724662285298109,
0.03757331892848015,
-0.02977222390472889,
-0.01223664078861475,
0.04012025520205498,
-0.0510619580745697,
0.045030947774648666,
0.05462737753987312,
-0.06461489945650101,
0.05658382922410965,
-0.02889080159366131,
0.028437159955501556,
0.03278857097029686,
-0.0035859993658959866,
-0.05779454484581947,
-0.01692030020058155,
0.10444745421409607,
-0.03132423758506775,
-0.009609810076653957,
0.037568625062704086,
-0.0528004989027977,
-0.044065073132514954,
-0.07251167297363281,
-0.02575855143368244,
-0.027479758486151695,
-0.11261861026287079,
0.0027662874199450016,
0.03447845205664635,
0.0009281876846216619,
-0.05353691801428795,
0.024642089381814003,
-0.03560413047671318,
-0.026156682521104813,
-0.0030879743862897158,
0.04480313882231712,
-0.036852866411209106
] | null | null | null | null | null | null | null | [
-0.018054809421300888,
0.03296494483947754,
-0.039077382534742355,
-0.03601944446563721,
0.0012020682916045189,
-0.002247509779408574,
0.05617820844054222,
-0.015694471076130867,
0.05393429845571518,
0.07029712945222855,
-0.05713407322764397,
0.019669637084007263,
0.01762469857931137,
0.032405611127614975,
-0.019396178424358368,
0.05306646600365639,
0.028425607830286026,
0.0028031847905367613,
-0.007190975826233625,
0.05095721036195755,
0.02550908923149109,
-0.0432913638651371,
-0.011064776219427586,
0.08873775601387024,
-0.06180689111351967,
-0.0005267700180411339,
-0.004203024320304394,
-0.03492038697004318,
0.00879561249166727,
0.03366769850254059,
-0.07631045579910278,
0.04918751120567322,
0.0741041824221611,
0.01538271363824606,
0.009452857077121735,
0.02923908643424511,
-0.0692664235830307,
0.06618106365203857,
0.024112677201628685,
0.018153049051761627,
0.0425589494407177,
0.038358889520168304,
0.040411509573459625,
-0.0027554496191442013,
-0.023488204926252365,
0.020855365321040154,
-0.10289911180734634,
0.0070535349659621716,
-0.08115237206220627,
-0.08584611117839813,
-0.006134919356554747,
-0.07671857625246048,
-0.08833464235067368,
-0.042459823191165924,
0.05720994994044304,
-0.04818536341190338,
-0.048953812569379807,
-0.047734055668115616,
0.02886015735566616,
-0.012922683730721474,
0.05592353269457817,
-0.08083823323249817,
-0.0430070236325264,
-0.013381662778556347,
-0.051617857068777084,
0.016059620305895805,
0.10702048242092133,
-0.03393200784921646,
-0.0800958126783371,
0.06146980822086334,
0.044816289097070694,
0.11133510619401932,
-0.11915140599012375,
0.05639445409178734,
0.04219681769609451,
0.09926333278417587,
0.01697603426873684,
0.0442783422768116,
-0.09187161922454834,
-0.10500019043684006,
-0.044165629893541336,
0.002017059363424778,
0.04676973819732666,
-0.021998535841703415,
-0.01499753724783659,
0.025190023705363274,
-0.0029066549614071846,
-0.015278447419404984,
0.006834551226347685,
-0.032852962613105774,
-0.10674377530813217,
0.013387334533035755,
0.00891025923192501,
0.00575075251981616,
-0.08008742332458496,
0.014580901712179184,
-0.009543327614665031,
0.007913921028375626,
0.03650565445423126,
0.03704734146595001,
-0.016776535660028458,
-0.0058567700907588005,
0.030244257301092148,
-0.05134762451052666,
0.003283583326265216,
0.09259108453989029,
-0.05632539466023445,
-0.01619737595319748,
0.027425268664956093,
-0.011152478866279125,
-0.044746436178684235,
0.054209139198064804,
-0.010293874889612198,
0.06269724667072296,
0.0113343121483922,
0.007249285001307726,
0.07706473022699356,
-0.008956256322562695,
0.08275921642780304,
0.08760667592287064,
-0.010187193751335144,
-0.014545760117471218,
-0.05151847004890442,
-0.014129993505775928,
-0.004171314649283886,
-0.01862284727394581,
0.009450881741940975,
3.2149173564264536e-34,
0.05434804409742355,
0.03846991807222366,
0.04046309366822243,
-0.0673796609044075,
0.04251093789935112,
-0.028808439150452614,
-0.020795736461877823,
-0.04448521509766579,
0.05083264037966728,
0.021564684808254242,
-0.08198758959770203,
0.015402755700051785,
0.10375085473060608,
-0.00996330939233303,
0.12219289690256119,
0.0015288018621504307,
0.03424447774887085,
-0.055906742811203,
0.005818245001137257,
-0.05844544991850853,
0.022734535858035088,
0.032943397760391235,
0.015543781220912933,
0.037920255213975906,
-0.011114407330751419,
0.047913048416376114,
0.05013906583189964,
-0.04960453882813454,
0.03534184396266937,
0.00969905685633421,
-0.07782088965177536,
0.0021019845735281706,
0.07230059802532196,
0.11363811790943146,
-0.045265790075063705,
0.013964137062430382,
-0.04893813282251358,
-0.029511822387576103,
-0.017566880211234093,
-0.006091659888625145,
-0.053797684609889984,
-0.04203302040696144,
-0.03501563146710396,
-0.024042490869760513,
0.03738021478056908,
-0.03191504627466202,
0.06807635724544525,
0.032887063920497894,
-0.06928189843893051,
0.0666455402970314,
-0.038946617394685745,
0.06614208221435547,
-0.05088592320680618,
0.013377262279391289,
-0.0631444975733757,
-0.0717855915427208,
0.05020248144865036,
0.03297483175992966,
-0.04433554410934448,
0.08824385702610016,
0.07620249688625336,
-0.001095283543691039,
0.0028039906173944473,
-0.004938996862620115,
-0.0359932966530323,
0.01757998950779438,
-0.07205501198768616,
-0.029799601063132286,
0.07626957446336746,
-0.1039077639579773,
-0.01902678608894348,
0.018933681771159172,
-0.06542885303497314,
0.00562508637085557,
0.03317209705710411,
-0.009869282133877277,
-0.03241870552301407,
-0.06921747326850891,
-0.02572358399629593,
0.033535704016685486,
-0.10614319145679474,
-0.06959506124258041,
-0.00943730864673853,
-0.10595622658729553,
-0.07919960469007492,
-0.07501650601625443,
0.07062917947769165,
0.03883498162031174,
0.008272659964859486,
0.007650027982890606,
-0.0029404405504465103,
-0.03365997597575188,
0.040096599608659744,
0.07229997962713242,
0.04218775033950806,
-1.7785824621956314e-33,
-0.02451547607779503,
-0.03069796785712242,
0.07063587009906769,
0.07877442240715027,
0.0433141253888607,
-0.029212944209575653,
0.008143370971083641,
-0.023783748969435692,
-0.12866918742656708,
-0.045500561594963074,
-0.031543951481580734,
0.017491968348622322,
0.09470605105161667,
0.03551539033651352,
0.007221681531518698,
0.02450602501630783,
-0.04933469742536545,
0.0351492278277874,
-0.06601235270500183,
-0.0032000031787902117,
0.03640032559633255,
0.0488576702773571,
-0.035182852298021317,
0.02977164089679718,
0.04451526328921318,
0.06392727792263031,
-0.06664025783538818,
-0.024480072781443596,
-0.006430275272578001,
0.08242160081863403,
-0.014651117846369743,
-0.05321037024259567,
-0.06455578655004501,
-0.007554893847554922,
0.033550456166267395,
-0.015425008721649647,
0.038184769451618195,
0.01937144622206688,
-0.009153748862445354,
0.055254772305488586,
-0.021851541474461555,
-0.02597910538315773,
-0.0165413748472929,
0.04385816678404808,
0.018707040697336197,
0.020162366330623627,
-0.0067056287080049515,
0.0023889788426458836,
-0.008692080155014992,
-0.054143186658620834,
-0.028535712510347366,
0.07436492294073105,
0.14471176266670227,
0.0005644426564686,
0.03989686816930771,
-0.021591996774077415,
0.0006069965311326087,
0.09160418808460236,
-0.02701866813004017,
-0.04826915264129639,
-0.06384371966123581,
-0.037149444222450256,
0.018649687990546227,
0.1467495709657669,
0.029703350737690926,
0.002336716977879405,
0.03212572634220123,
-0.04265860468149185,
-0.043689753860235214,
0.07330344617366791,
-0.034407250583171844,
0.04185796156525612,
-0.07503532618284225,
-0.022001532837748528,
-0.0013238554820418358,
0.08172439783811569,
0.034458234906196594,
0.05454311519861221,
-0.04647815227508545,
0.016403980553150177,
-0.08454123139381409,
-0.0011467647273093462,
0.026925329118967056,
-0.01848919689655304,
-0.03940333053469658,
-0.08929669111967087,
0.06867904216051102,
-0.037370529025793076,
0.0018029988277703524,
-0.016056986525654793,
0.0054328287951648235,
0.01533557940274477,
-0.02536856010556221,
0.007920956239104271,
0.07130204886198044,
-3.979832996492405e-8,
-0.045716334134340286,
-0.04712153971195221,
-0.029651546850800514,
-0.010185113176703453,
0.10540099442005157,
-0.028347235172986984,
0.10008905082941055,
0.08168143779039383,
-0.10491403192281723,
0.13040517270565033,
0.09323684126138687,
0.10033782571554184,
0.016080819070339203,
0.1184237152338028,
-0.057131242007017136,
-0.005076256580650806,
0.05078135058283806,
-0.04756268113851547,
0.03596537560224533,
-0.0010681971907615662,
-0.099761463701725,
-0.08718447387218475,
-0.010913537815213203,
-0.00433683954179287,
-0.042520567774772644,
-0.08840563893318176,
-0.015537003986537457,
-0.03318432718515396,
-0.004724662285298109,
0.03757331892848015,
-0.02977222390472889,
-0.01223664078861475,
0.04012025520205498,
-0.0510619580745697,
0.045030947774648666,
0.05462737753987312,
-0.06461489945650101,
0.05658382922410965,
-0.02889080159366131,
0.028437159955501556,
0.03278857097029686,
-0.0035859993658959866,
-0.05779454484581947,
-0.01692030020058155,
0.10444745421409607,
-0.03132423758506775,
-0.009609810076653957,
0.037568625062704086,
-0.0528004989027977,
-0.044065073132514954,
-0.07251167297363281,
-0.02575855143368244,
-0.027479758486151695,
-0.11261861026287079,
0.0027662874199450016,
0.03447845205664635,
0.0009281876846216619,
-0.05353691801428795,
0.024642089381814003,
-0.03560413047671318,
-0.026156682521104813,
-0.0030879743862897158,
0.04480313882231712,
-0.036852866411209106
] |
1401.1542 | Qudsia Quraishi | Qudsia Quraishi and Scott Diddams and Leo Hollberg | Optical phase-noise dynamics of Titanium:sapphire optical frequency
combs | null | Optics Communications, Volume 320, 84 (2014) | 10.1016/j.optcom.2014.01.030 | null | physics.optics | http://creativecommons.org/licenses/publicdomain/ | Stabilized optical frequency combs (OFC) can have remarkable levels of
coherence across their broad spectral bandwidth. We study the scaling of the
optical noise across hundreds of nanometers of optical spectra. We measure the
residual phase noise between two OFC's (having offset frequencies $f^{(1)}_0 $
and $f^{(2)}_0$) referenced to a common cavity-stabilized narrow linewidth CW
laser. Their relative offset frequency $ \Delta f_0 = f^{(2)}_0 - f^{(1)}_0 $,
which appears across their entire spectra, provides a convenient measure of the
phase noise. By comparing $\Delta f_0$ at different spectral regions, we
demonstrate that the observed scaling of the residual phase noise is in very
good agreement with the noise predicted from the standard frequency comb
equation.
| [
{
"created": "Tue, 7 Jan 2014 23:21:09 GMT",
"version": "v1"
}
] | 2017-03-09 | [
[
"Quraishi",
"Qudsia",
""
],
[
"Diddams",
"Scott",
""
],
[
"Hollberg",
"Leo",
""
]
] | [
0.01113433763384819,
-0.017002614215016365,
-0.05806170403957367,
0.026909716427326202,
-0.07760348170995712,
-0.04956773295998573,
0.042202915996313095,
-0.10244262963533401,
-0.003247031942009926,
-0.00202673370949924,
-0.027833374217152596,
0.02766658365726471,
-0.06239514425396919,
-0.09025999158620834,
0.028194984421133995,
0.05857958644628525,
0.027203433215618134,
0.014957621693611145,
0.04733332246541977,
0.0904722586274147,
-0.0005992056685499847,
-0.059803832322359085,
-0.056730445474386215,
0.011837299913167953,
-0.0020987403113394976,
-0.014542347751557827,
-0.03593379631638527,
-0.03167170286178589,
0.032969363033771515,
0.03245840221643448,
0.003146269591525197,
0.07579527795314789,
-0.05805085599422455,
0.03591730818152428,
0.04321030154824257,
-0.12385725229978561,
0.17778116464614868,
0.03569316864013672,
0.070362888276577,
0.039708446711301804,
0.026718836277723312,
0.06555257737636566,
0.011155558750033379,
-0.027243059128522873,
-0.07342485338449478,
0.016262266784906387,
-0.028957560658454895,
-0.034473419189453125,
-0.05964267626404762,
0.00008008648728718981,
0.07090725749731064,
0.061152175068855286,
-0.0835595577955246,
-0.05667287856340408,
0.03366626426577568,
0.050539370626211166,
0.05984176695346832,
-0.0069201341830194,
0.08002857118844986,
0.02053646557033062,
0.08481886237859726,
-0.04778043180704117,
-0.08025220036506653,
0.0622187964618206,
-0.010194891132414341,
-0.0843927264213562,
0.060995686799287796,
-0.01734860986471176,
0.02203976735472679,
0.010944511741399765,
-0.013020925223827362,
-0.025352582335472107,
0.06249348819255829,
0.02832295186817646,
0.04001374542713165,
0.085306815803051,
0.02092478610575199,
0.03935759887099266,
0.018366606906056404,
0.024332940578460693,
0.03439223766326904,
-0.030173441395163536,
0.07880659401416779,
-0.003844349179416895,
0.00797257386147976,
-0.013397198170423508,
0.04992588236927986,
-0.010952712967991829,
-0.05756644159555435,
-0.04634783789515495,
-0.04371742531657219,
0.0038968282751739025,
-0.012834567576646805,
-0.03713427484035492,
0.01342482678592205,
0.05490533635020256,
0.08464311808347702,
0.016306839883327484,
0.0746743306517601,
-0.009962936863303185,
0.08437813073396683,
-0.06275275349617004,
-0.030962396413087845,
0.026476837694644928,
-0.06746130436658859,
0.024669848382472992,
0.092654749751091,
0.05808650702238083,
-0.05884484201669693,
0.05258574336767197,
-0.015149986371397972,
0.048838768154382706,
0.017245560884475708,
-0.03144324943423271,
0.002339433180168271,
0.02918749675154686,
-0.018443912267684937,
0.058703016489744186,
0.07606873661279678,
-0.03867683187127113,
-0.02510831318795681,
0.021779457107186317,
-0.03871801868081093,
-0.01818590611219406,
0.03558441624045372,
-0.0019947225227952003,
0.029852788895368576,
1.56754467569556e-35,
0.05344003811478615,
0.07244124263525009,
0.034384917467832565,
-0.013539459556341171,
0.030275756493210793,
-0.016788028180599213,
0.04116358980536461,
-0.05398263409733772,
-0.09060848504304886,
0.07535403966903687,
0.05733039975166321,
-0.0017287804512307048,
-0.06365809589624405,
-0.07009773701429367,
-0.04510149732232094,
0.002374948002398014,
-0.0025852685794234276,
0.02429870329797268,
0.0010434150462970138,
0.07924393564462662,
0.046387359499931335,
-0.010595249943435192,
0.01778976246714592,
0.08523420989513397,
0.04156409204006195,
-0.017060644924640656,
-0.04103871062397957,
0.025864074006676674,
0.00764459976926446,
0.04332350194454193,
-0.003979523200541735,
0.04184350743889809,
0.04246125742793083,
-0.05120722949504852,
0.05168084055185318,
-0.043901849538087845,
0.09815961867570877,
0.08015236258506775,
-0.06087800860404968,
-0.04810284450650215,
-0.0075039989314973354,
0.017281994223594666,
0.006367488764226437,
-0.02959117293357849,
0.019812287762761116,
-0.050768885761499405,
-0.07971808314323425,
-0.033627912402153015,
-0.056600429117679596,
0.05503612011671066,
-0.06572360545396805,
-0.027468109503388405,
-0.02149527333676815,
0.03519795089960098,
0.042447954416275024,
-0.041715312749147415,
0.0973629355430603,
-0.09593107551336288,
-0.045862551778554916,
-0.0031757436227053404,
0.06445395201444626,
-0.08913232386112213,
-0.006962884217500687,
-0.06462599337100983,
0.02512887306511402,
0.07900913804769516,
0.012034858576953411,
-0.02128562703728676,
-0.03435076028108597,
-0.04009450227022171,
-0.031184479594230652,
0.07145316153764725,
0.05662475526332855,
-0.07590699940919876,
-0.012985259294509888,
-0.0018300662050023675,
-0.0266222283244133,
0.05201180651783943,
-0.010450256057083607,
0.03832020238041878,
0.05498538166284561,
-0.058198969811201096,
-0.07001559436321259,
-0.02294810302555561,
-0.06544289737939835,
0.007177600171416998,
-0.08117128163576126,
0.003998688422143459,
-0.11019075661897659,
-0.054946985095739365,
0.050825171172618866,
-0.011948762461543083,
0.04195699840784073,
-0.03549123927950859,
-0.10542517900466919,
-3.0600693019216414e-33,
0.06889322400093079,
-0.046655744314193726,
0.03886496648192406,
0.07229073345661163,
-0.018679499626159668,
0.13320845365524292,
0.09978833794593811,
0.04700417071580887,
0.038762014359235764,
-0.027596982195973396,
0.044285036623477936,
-0.024872861802577972,
-0.054523907601833344,
0.02555660903453827,
-0.06459737569093704,
0.007193165365606546,
-0.003706481773406267,
-0.03560349717736244,
0.1101873591542244,
0.02833617478609085,
0.036615096032619476,
-0.049972258508205414,
0.07679414004087448,
0.04390012100338936,
0.03692549094557762,
-0.05725591629743576,
-0.06301742792129517,
-0.02188883163034916,
-0.005876566283404827,
0.003470067633315921,
0.045890189707279205,
-0.06236632540822029,
0.06782712787389755,
0.03193054720759392,
-0.07840877026319504,
-0.034574445337057114,
-0.011339581571519375,
-0.024507824331521988,
-0.009280036203563213,
-0.021238498389720917,
0.04034048691391945,
-0.013999082148075104,
-0.04765496775507927,
-0.08177359402179718,
0.04868742451071739,
-0.0184932854026556,
-0.017081789672374725,
-0.000427105522248894,
-0.07133200019598007,
-0.062429279088974,
-0.04955471307039261,
0.05931174010038376,
-0.04502005875110626,
0.07866203039884567,
-0.06671827286481857,
0.029347935691475868,
-0.08339513093233109,
0.05767512694001198,
0.020280351862311363,
0.10146082937717438,
-0.09108606725931168,
0.031976617872714996,
-0.06542898714542389,
0.01856595277786255,
0.029775938019156456,
0.09534165263175964,
-0.05633571371436119,
-0.039385732263326645,
0.04202968627214432,
-0.025411071255803108,
-0.06287427991628647,
-0.024626919999718666,
-0.05494505539536476,
-0.007897413335740566,
0.039761077612638474,
0.006814011838287115,
0.06357575953006744,
-0.1263686567544937,
-0.0037113013677299023,
0.11463352292776108,
-0.009619719348847866,
0.024133453145623207,
-0.025579364970326424,
0.08646216988563538,
0.02575324848294258,
0.0028963976074010134,
-0.02293982543051243,
0.04191301763057709,
-0.03587304428219795,
-0.04088383913040161,
-0.025135807693004608,
-0.010037356056272984,
-0.047801416367292404,
-0.10375591367483139,
0.09165799617767334,
-4.770216577298925e-8,
0.01433937530964613,
0.018824201077222824,
0.013978480361402035,
0.0019111111760139465,
0.039424993097782135,
-0.034867510199546814,
0.024150248616933823,
-0.03481663763523102,
-0.049923475831747055,
-0.03273821249604225,
0.055408164858818054,
-0.012131053023040295,
-0.06363197416067123,
0.008625093847513199,
0.0192564707249403,
-0.023083696141839027,
0.017988696694374084,
-0.00427497923374176,
0.02100851573050022,
-0.02459012344479561,
-0.06204806640744209,
0.01811744086444378,
0.02984321303665638,
-0.061931245028972626,
-0.062270279973745346,
-0.008987318724393845,
-0.06669685244560242,
0.0188890527933836,
-0.029840519651770592,
0.007660828996449709,
-0.013666568323969841,
-0.050267480313777924,
-0.04144598916172981,
0.052903879433870316,
-0.13666431605815887,
-0.05334525182843208,
-0.05053991451859474,
0.042131517082452774,
0.020858939737081528,
-0.03753244876861572,
0.019951699301600456,
0.04453347995877266,
-0.06586538255214691,
0.0029557894449681044,
-0.015760378912091255,
0.12582074105739594,
0.009564659558236599,
-0.010367774404585361,
-0.06160802021622658,
0.024479616433382034,
-0.05381331592798233,
0.10338736325502396,
-0.048900190740823746,
-0.0999370813369751,
-0.05480831488966942,
-0.021335555240511894,
-0.04312274977564812,
-0.01495418045669794,
-0.06952306628227234,
0.023599131032824516,
0.013464820571243763,
-0.039086516946554184,
-0.026851272210478783,
-0.0009650817955844104
] | null | null | null | null | null | null | null | [
0.01113433763384819,
-0.017002614215016365,
-0.05806170403957367,
0.026909716427326202,
-0.07760348170995712,
-0.04956773295998573,
0.042202915996313095,
-0.10244262963533401,
-0.003247031942009926,
-0.00202673370949924,
-0.027833374217152596,
0.02766658365726471,
-0.06239514425396919,
-0.09025999158620834,
0.028194984421133995,
0.05857958644628525,
0.027203433215618134,
0.014957621693611145,
0.04733332246541977,
0.0904722586274147,
-0.0005992056685499847,
-0.059803832322359085,
-0.056730445474386215,
0.011837299913167953,
-0.0020987403113394976,
-0.014542347751557827,
-0.03593379631638527,
-0.03167170286178589,
0.032969363033771515,
0.03245840221643448,
0.003146269591525197,
0.07579527795314789,
-0.05805085599422455,
0.03591730818152428,
0.04321030154824257,
-0.12385725229978561,
0.17778116464614868,
0.03569316864013672,
0.070362888276577,
0.039708446711301804,
0.026718836277723312,
0.06555257737636566,
0.011155558750033379,
-0.027243059128522873,
-0.07342485338449478,
0.016262266784906387,
-0.028957560658454895,
-0.034473419189453125,
-0.05964267626404762,
0.00008008648728718981,
0.07090725749731064,
0.061152175068855286,
-0.0835595577955246,
-0.05667287856340408,
0.03366626426577568,
0.050539370626211166,
0.05984176695346832,
-0.0069201341830194,
0.08002857118844986,
0.02053646557033062,
0.08481886237859726,
-0.04778043180704117,
-0.08025220036506653,
0.0622187964618206,
-0.010194891132414341,
-0.0843927264213562,
0.060995686799287796,
-0.01734860986471176,
0.02203976735472679,
0.010944511741399765,
-0.013020925223827362,
-0.025352582335472107,
0.06249348819255829,
0.02832295186817646,
0.04001374542713165,
0.085306815803051,
0.02092478610575199,
0.03935759887099266,
0.018366606906056404,
0.024332940578460693,
0.03439223766326904,
-0.030173441395163536,
0.07880659401416779,
-0.003844349179416895,
0.00797257386147976,
-0.013397198170423508,
0.04992588236927986,
-0.010952712967991829,
-0.05756644159555435,
-0.04634783789515495,
-0.04371742531657219,
0.0038968282751739025,
-0.012834567576646805,
-0.03713427484035492,
0.01342482678592205,
0.05490533635020256,
0.08464311808347702,
0.016306839883327484,
0.0746743306517601,
-0.009962936863303185,
0.08437813073396683,
-0.06275275349617004,
-0.030962396413087845,
0.026476837694644928,
-0.06746130436658859,
0.024669848382472992,
0.092654749751091,
0.05808650702238083,
-0.05884484201669693,
0.05258574336767197,
-0.015149986371397972,
0.048838768154382706,
0.017245560884475708,
-0.03144324943423271,
0.002339433180168271,
0.02918749675154686,
-0.018443912267684937,
0.058703016489744186,
0.07606873661279678,
-0.03867683187127113,
-0.02510831318795681,
0.021779457107186317,
-0.03871801868081093,
-0.01818590611219406,
0.03558441624045372,
-0.0019947225227952003,
0.029852788895368576,
1.56754467569556e-35,
0.05344003811478615,
0.07244124263525009,
0.034384917467832565,
-0.013539459556341171,
0.030275756493210793,
-0.016788028180599213,
0.04116358980536461,
-0.05398263409733772,
-0.09060848504304886,
0.07535403966903687,
0.05733039975166321,
-0.0017287804512307048,
-0.06365809589624405,
-0.07009773701429367,
-0.04510149732232094,
0.002374948002398014,
-0.0025852685794234276,
0.02429870329797268,
0.0010434150462970138,
0.07924393564462662,
0.046387359499931335,
-0.010595249943435192,
0.01778976246714592,
0.08523420989513397,
0.04156409204006195,
-0.017060644924640656,
-0.04103871062397957,
0.025864074006676674,
0.00764459976926446,
0.04332350194454193,
-0.003979523200541735,
0.04184350743889809,
0.04246125742793083,
-0.05120722949504852,
0.05168084055185318,
-0.043901849538087845,
0.09815961867570877,
0.08015236258506775,
-0.06087800860404968,
-0.04810284450650215,
-0.0075039989314973354,
0.017281994223594666,
0.006367488764226437,
-0.02959117293357849,
0.019812287762761116,
-0.050768885761499405,
-0.07971808314323425,
-0.033627912402153015,
-0.056600429117679596,
0.05503612011671066,
-0.06572360545396805,
-0.027468109503388405,
-0.02149527333676815,
0.03519795089960098,
0.042447954416275024,
-0.041715312749147415,
0.0973629355430603,
-0.09593107551336288,
-0.045862551778554916,
-0.0031757436227053404,
0.06445395201444626,
-0.08913232386112213,
-0.006962884217500687,
-0.06462599337100983,
0.02512887306511402,
0.07900913804769516,
0.012034858576953411,
-0.02128562703728676,
-0.03435076028108597,
-0.04009450227022171,
-0.031184479594230652,
0.07145316153764725,
0.05662475526332855,
-0.07590699940919876,
-0.012985259294509888,
-0.0018300662050023675,
-0.0266222283244133,
0.05201180651783943,
-0.010450256057083607,
0.03832020238041878,
0.05498538166284561,
-0.058198969811201096,
-0.07001559436321259,
-0.02294810302555561,
-0.06544289737939835,
0.007177600171416998,
-0.08117128163576126,
0.003998688422143459,
-0.11019075661897659,
-0.054946985095739365,
0.050825171172618866,
-0.011948762461543083,
0.04195699840784073,
-0.03549123927950859,
-0.10542517900466919,
-3.0600693019216414e-33,
0.06889322400093079,
-0.046655744314193726,
0.03886496648192406,
0.07229073345661163,
-0.018679499626159668,
0.13320845365524292,
0.09978833794593811,
0.04700417071580887,
0.038762014359235764,
-0.027596982195973396,
0.044285036623477936,
-0.024872861802577972,
-0.054523907601833344,
0.02555660903453827,
-0.06459737569093704,
0.007193165365606546,
-0.003706481773406267,
-0.03560349717736244,
0.1101873591542244,
0.02833617478609085,
0.036615096032619476,
-0.049972258508205414,
0.07679414004087448,
0.04390012100338936,
0.03692549094557762,
-0.05725591629743576,
-0.06301742792129517,
-0.02188883163034916,
-0.005876566283404827,
0.003470067633315921,
0.045890189707279205,
-0.06236632540822029,
0.06782712787389755,
0.03193054720759392,
-0.07840877026319504,
-0.034574445337057114,
-0.011339581571519375,
-0.024507824331521988,
-0.009280036203563213,
-0.021238498389720917,
0.04034048691391945,
-0.013999082148075104,
-0.04765496775507927,
-0.08177359402179718,
0.04868742451071739,
-0.0184932854026556,
-0.017081789672374725,
-0.000427105522248894,
-0.07133200019598007,
-0.062429279088974,
-0.04955471307039261,
0.05931174010038376,
-0.04502005875110626,
0.07866203039884567,
-0.06671827286481857,
0.029347935691475868,
-0.08339513093233109,
0.05767512694001198,
0.020280351862311363,
0.10146082937717438,
-0.09108606725931168,
0.031976617872714996,
-0.06542898714542389,
0.01856595277786255,
0.029775938019156456,
0.09534165263175964,
-0.05633571371436119,
-0.039385732263326645,
0.04202968627214432,
-0.025411071255803108,
-0.06287427991628647,
-0.024626919999718666,
-0.05494505539536476,
-0.007897413335740566,
0.039761077612638474,
0.006814011838287115,
0.06357575953006744,
-0.1263686567544937,
-0.0037113013677299023,
0.11463352292776108,
-0.009619719348847866,
0.024133453145623207,
-0.025579364970326424,
0.08646216988563538,
0.02575324848294258,
0.0028963976074010134,
-0.02293982543051243,
0.04191301763057709,
-0.03587304428219795,
-0.04088383913040161,
-0.025135807693004608,
-0.010037356056272984,
-0.047801416367292404,
-0.10375591367483139,
0.09165799617767334,
-4.770216577298925e-8,
0.01433937530964613,
0.018824201077222824,
0.013978480361402035,
0.0019111111760139465,
0.039424993097782135,
-0.034867510199546814,
0.024150248616933823,
-0.03481663763523102,
-0.049923475831747055,
-0.03273821249604225,
0.055408164858818054,
-0.012131053023040295,
-0.06363197416067123,
0.008625093847513199,
0.0192564707249403,
-0.023083696141839027,
0.017988696694374084,
-0.00427497923374176,
0.02100851573050022,
-0.02459012344479561,
-0.06204806640744209,
0.01811744086444378,
0.02984321303665638,
-0.061931245028972626,
-0.062270279973745346,
-0.008987318724393845,
-0.06669685244560242,
0.0188890527933836,
-0.029840519651770592,
0.007660828996449709,
-0.013666568323969841,
-0.050267480313777924,
-0.04144598916172981,
0.052903879433870316,
-0.13666431605815887,
-0.05334525182843208,
-0.05053991451859474,
0.042131517082452774,
0.020858939737081528,
-0.03753244876861572,
0.019951699301600456,
0.04453347995877266,
-0.06586538255214691,
0.0029557894449681044,
-0.015760378912091255,
0.12582074105739594,
0.009564659558236599,
-0.010367774404585361,
-0.06160802021622658,
0.024479616433382034,
-0.05381331592798233,
0.10338736325502396,
-0.048900190740823746,
-0.0999370813369751,
-0.05480831488966942,
-0.021335555240511894,
-0.04312274977564812,
-0.01495418045669794,
-0.06952306628227234,
0.023599131032824516,
0.013464820571243763,
-0.039086516946554184,
-0.026851272210478783,
-0.0009650817955844104
] |
1401.1543 | Falk Toeppel | Falk T\"oppel, Andrea Aiello, Christoph Marquardt, Elisabeth
Giacobino, Gerd Leuchs | Classical entanglement in polarization metrology | 12 pages + appendices, 3 figures | New J. Phys. 16, 073019 (2014) | 10.1088/1367-2630/16/7/073019 | null | quant-ph physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum approaches relying on entangled photons have been recently proposed
to increase the efficiency of optical measurements. We demonstrate here that,
surprisingly, the use of classical light with entangled degrees of freedom can
also bring outstanding advantages over conventional measurements in
polarization metrology. Specifically, we show that radially polarized beams of
light allow to perform real-time single-shot Mueller matrix polarimetry. Our
results also indicate that quantum optical procedures requiring entanglement
without nonlocality can be actually achieved in classical optics regime.
| [
{
"created": "Tue, 7 Jan 2014 23:42:40 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 2014 17:26:25 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Feb 2014 08:19:28 GMT",
"version": "v3"
},
{
"created": "Thu, 3 Apr 2014 12:37:51 GMT",
"version": "v4"
}
] | 2015-06-18 | [
[
"Töppel",
"Falk",
""
],
[
"Aiello",
"Andrea",
""
],
[
"Marquardt",
"Christoph",
""
],
[
"Giacobino",
"Elisabeth",
""
],
[
"Leuchs",
"Gerd",
""
]
] | [
-0.003432552795857191,
-0.034157250076532364,
-0.06971430778503418,
0.030861061066389084,
-0.04892673343420029,
0.05344124138355255,
-0.014957733452320099,
-0.07660523056983948,
-0.003519002115353942,
0.017743833363056183,
0.0018335700733587146,
0.06140654906630516,
-0.0749688595533371,
0.09989476948976517,
-0.0012316892389208078,
0.06700151413679123,
0.04248623922467232,
0.01296743843704462,
-0.0157169159501791,
-0.006423586513847113,
-0.06731189042329788,
-0.09121281653642654,
-0.01642710715532303,
0.032400328665971756,
0.06767161935567856,
-0.04617873206734657,
0.027937179431319237,
-0.022703755646944046,
-0.021753735840320587,
0.06682443618774414,
-0.0033531945664435625,
0.07539039850234985,
-0.0842653214931488,
-0.010193596594035625,
-0.05739415064454079,
-0.053608011454343796,
0.1529393345117569,
-0.061943452805280685,
0.02113945409655571,
0.042408548295497894,
0.08304636180400848,
0.07368060946464539,
-0.07738909125328064,
-0.030843015760183334,
-0.03432925418019295,
0.05809982493519783,
0.05819077417254448,
0.0017462401883676648,
0.02488759532570839,
-0.12892776727676392,
-0.05657922849059105,
0.0471956767141819,
-0.012957154773175716,
-0.04512329399585724,
0.08259372413158417,
-0.0065424470230937,
0.05081560090184212,
-0.0342140756547451,
-0.0035402090288698673,
-0.025168556720018387,
-0.03025011718273163,
-0.020267734304070473,
-0.041879840195178986,
-0.00734931044280529,
0.014175815507769585,
-0.0010791330132633448,
-0.07408519089221954,
0.00032225792529061437,
0.00608709454536438,
0.06415744870901108,
-0.058011967688798904,
0.025884412229061127,
-0.0077312118373811245,
0.02359406277537346,
0.014465304091572762,
-0.07857644557952881,
-0.009785881265997887,
0.005508748814463615,
-0.014772753231227398,
0.03720302879810333,
-0.004655954893678427,
-0.06711199879646301,
-0.04979465529322624,
0.1355232298374176,
0.05422896891832352,
0.0050641922280192375,
0.03086927905678749,
0.06249001994729042,
-0.00805565807968378,
-0.037711676210165024,
-0.0781722366809845,
-0.1274348795413971,
-0.08793001621961594,
-0.08644933998584747,
0.0021007945761084557,
-0.06915519386529922,
0.030244067311286926,
-0.05512555316090584,
-0.02514730766415596,
-0.04301027953624725,
0.08905109763145447,
-0.020949454978108406,
-0.030749911442399025,
0.030031951144337654,
-0.08307348191738129,
0.02399853803217411,
0.07445848733186722,
0.08623611927032471,
0.03019609861075878,
-0.005644110031425953,
0.08114688843488693,
0.0036461972631514072,
0.02737511321902275,
-0.02637716941535473,
-0.07613232731819153,
0.07477083802223206,
-0.027452904731035233,
0.08719303458929062,
0.08674166351556778,
0.09527777135372162,
-0.005224301014095545,
0.06446302682161331,
0.021833695471286774,
0.0896868109703064,
0.003156213089823723,
0.07394303381443024,
0.018074704334139824,
2.629862063078693e-33,
0.05903514847159386,
0.042010094970464706,
0.0319366417825222,
0.05064115673303604,
-0.06911720335483551,
0.03974903002381325,
0.049969568848609924,
0.006857376080006361,
0.020040184259414673,
-0.07326158881187439,
0.12058557569980621,
0.07371573895215988,
0.042739737778902054,
-0.03257499262690544,
0.037128470838069916,
0.0035339402966201305,
-0.007952459156513214,
0.0601767972111702,
-0.0008550700731575489,
0.08172536641359329,
-0.0010009813122451305,
-0.02435985952615738,
-0.06497067958116531,
-0.02034277282655239,
-0.06865886598825455,
-0.07440216839313507,
0.06497076898813248,
0.025338223204016685,
-0.03160962462425232,
0.003939889371395111,
-0.014057157561182976,
0.12275907397270203,
-0.03690927103161812,
0.11561732739210129,
0.03452879562973976,
-0.044536422938108444,
0.00022583914687857032,
0.037126101553440094,
0.0028666644357144833,
-0.031484100967645645,
0.029786789789795876,
0.05264013260602951,
0.033466886729002,
-0.03337422013282776,
-0.040160126984119415,
-0.07279524952173233,
-0.11850177496671677,
-0.006524616852402687,
0.04634783789515495,
0.006050534546375275,
0.06022894009947777,
0.004340199287980795,
-0.012949717231094837,
-0.03698384016752243,
0.008878098800778389,
-0.05384930223226547,
0.015495243482291698,
-0.029333163052797318,
0.04438634589314461,
-0.036991555243730545,
-0.0326843187212944,
-0.09370635449886322,
-0.03064827248454094,
-0.04067697748541832,
-0.05603456497192383,
0.005084102973341942,
-0.041870005428791046,
-0.008631288073956966,
-0.07618949562311172,
0.05550868809223175,
-0.07205802202224731,
-0.012704373337328434,
0.07475847005844116,
-0.03127316012978554,
0.029331933706998825,
0.014019710011780262,
0.05999287962913513,
0.007776682730764151,
0.030795328319072723,
0.04383615404367447,
-0.060355961322784424,
-0.006766116246581078,
-0.0167674720287323,
-0.02191592939198017,
-0.06526799499988556,
-0.012700204737484455,
-0.06626926362514496,
-0.017653990536928177,
-0.09569620341062546,
0.02285449579358101,
0.005336227361112833,
0.020766468718647957,
-0.0031632794998586178,
-0.017365338280797005,
-0.07036647200584412,
-4.246657748021799e-33,
-0.0865710899233818,
-0.06107165291905403,
-0.06379351764917374,
-0.008804683573544025,
-0.005030414555221796,
0.006522738840430975,
0.012473667040467262,
-0.02106768637895584,
0.031415779143571854,
0.043004609644412994,
0.04492954909801483,
0.040588151663541794,
-0.01771295629441738,
0.055736541748046875,
-0.05400482565164566,
0.03556288778781891,
-0.00863766297698021,
-0.0005584769533015788,
0.0046263872645795345,
-0.06439776718616486,
0.03134922310709953,
0.01764027588069439,
0.0821373239159584,
0.015586677938699722,
-0.00041777704609557986,
0.042782142758369446,
0.05693680793046951,
-0.0020600405987352133,
-0.0687790960073471,
-0.018582060933113098,
0.04744986817240715,
-0.06734450161457062,
-0.08572244644165039,
0.000844536058139056,
-0.08702926337718964,
0.08868443965911865,
0.028110595420002937,
-0.031535156071186066,
-0.07305749505758286,
-0.01330210454761982,
0.012651797384023666,
0.0049798255786299706,
-0.005768801085650921,
0.06294047832489014,
0.040301233530044556,
-0.036483034491539,
-0.013536818325519562,
-0.004537662025541067,
-0.03821761906147003,
0.03926722705364227,
-0.08661232143640518,
0.11049718409776688,
-0.012182919308543205,
0.04779301956295967,
-0.08442877233028412,
-0.05914275720715523,
-0.04161709547042847,
0.04150581359863281,
0.017523281276226044,
0.10400967299938202,
-0.05933967977762222,
0.042656511068344116,
0.0065476237796247005,
0.03927610069513321,
-0.012978505343198776,
-0.023870496079325676,
0.0504063218832016,
-0.015581867657601833,
0.05086246877908707,
0.04763517528772354,
0.011800273321568966,
0.018582072108983994,
-0.009744837880134583,
0.0328848771750927,
0.06515417993068695,
0.054421648383140564,
0.06921149790287018,
0.009690726175904274,
-0.07741562277078629,
0.06550361961126328,
0.06652551889419556,
-0.00827629491686821,
-0.06061599403619766,
0.03894703835248947,
0.0794946551322937,
-0.004777249414473772,
-0.046786483377218246,
-0.0024889830965548754,
-0.02143068052828312,
-0.030372248962521553,
0.04407931864261627,
-0.06300021708011627,
0.005378747824579477,
-0.06615103781223297,
0.089857317507267,
-3.460676722966127e-8,
0.02692689187824726,
-0.027602404356002808,
-0.03742976114153862,
0.024963773787021637,
-0.09098037332296371,
-0.05835755914449692,
-0.012818068265914917,
0.044082075357437134,
-0.05188576132059097,
-0.07047932595014572,
0.035746362060308456,
-0.09225135296583176,
-0.0809009000658989,
0.03693826496601105,
0.05681440234184265,
0.003169098636135459,
0.058747220784425735,
-0.06490068882703781,
0.013825553469359875,
0.03692737594246864,
-0.03655080497264862,
-0.01950657181441784,
0.03228646516799927,
0.05299610644578934,
-0.07949019968509674,
0.03207233548164368,
0.03467508777976036,
0.02099801041185856,
-0.0005110089550726116,
0.01369436364620924,
0.05839516967535019,
-0.0019036990124732256,
-0.003888664534315467,
0.06973356008529663,
-0.10855007916688919,
-0.03067042864859104,
-0.0880701020359993,
0.09894105792045593,
-0.014248892664909363,
-0.00553518533706665,
-0.057043105363845825,
0.06065601110458374,
-0.09716274589300156,
0.03166690468788147,
0.039373982697725296,
0.0564444325864315,
0.003239979734644294,
-0.022914748638868332,
-0.03642554208636284,
0.03513272851705551,
0.0036281871143728495,
0.06041127070784569,
-0.007041042670607567,
-0.005871070548892021,
-0.05197880417108536,
0.05839340388774872,
0.0030394012574106455,
-0.06942317634820938,
-0.030045881867408752,
0.004415849689394236,
-0.008602076210081577,
0.023376332595944405,
-0.0746721401810646,
0.024285372346639633
] | null | null | null | null | null | null | null | [
-0.003432552795857191,
-0.034157250076532364,
-0.06971430778503418,
0.030861061066389084,
-0.04892673343420029,
0.05344124138355255,
-0.014957733452320099,
-0.07660523056983948,
-0.003519002115353942,
0.017743833363056183,
0.0018335700733587146,
0.06140654906630516,
-0.0749688595533371,
0.09989476948976517,
-0.0012316892389208078,
0.06700151413679123,
0.04248623922467232,
0.01296743843704462,
-0.0157169159501791,
-0.006423586513847113,
-0.06731189042329788,
-0.09121281653642654,
-0.01642710715532303,
0.032400328665971756,
0.06767161935567856,
-0.04617873206734657,
0.027937179431319237,
-0.022703755646944046,
-0.021753735840320587,
0.06682443618774414,
-0.0033531945664435625,
0.07539039850234985,
-0.0842653214931488,
-0.010193596594035625,
-0.05739415064454079,
-0.053608011454343796,
0.1529393345117569,
-0.061943452805280685,
0.02113945409655571,
0.042408548295497894,
0.08304636180400848,
0.07368060946464539,
-0.07738909125328064,
-0.030843015760183334,
-0.03432925418019295,
0.05809982493519783,
0.05819077417254448,
0.0017462401883676648,
0.02488759532570839,
-0.12892776727676392,
-0.05657922849059105,
0.0471956767141819,
-0.012957154773175716,
-0.04512329399585724,
0.08259372413158417,
-0.0065424470230937,
0.05081560090184212,
-0.0342140756547451,
-0.0035402090288698673,
-0.025168556720018387,
-0.03025011718273163,
-0.020267734304070473,
-0.041879840195178986,
-0.00734931044280529,
0.014175815507769585,
-0.0010791330132633448,
-0.07408519089221954,
0.00032225792529061437,
0.00608709454536438,
0.06415744870901108,
-0.058011967688798904,
0.025884412229061127,
-0.0077312118373811245,
0.02359406277537346,
0.014465304091572762,
-0.07857644557952881,
-0.009785881265997887,
0.005508748814463615,
-0.014772753231227398,
0.03720302879810333,
-0.004655954893678427,
-0.06711199879646301,
-0.04979465529322624,
0.1355232298374176,
0.05422896891832352,
0.0050641922280192375,
0.03086927905678749,
0.06249001994729042,
-0.00805565807968378,
-0.037711676210165024,
-0.0781722366809845,
-0.1274348795413971,
-0.08793001621961594,
-0.08644933998584747,
0.0021007945761084557,
-0.06915519386529922,
0.030244067311286926,
-0.05512555316090584,
-0.02514730766415596,
-0.04301027953624725,
0.08905109763145447,
-0.020949454978108406,
-0.030749911442399025,
0.030031951144337654,
-0.08307348191738129,
0.02399853803217411,
0.07445848733186722,
0.08623611927032471,
0.03019609861075878,
-0.005644110031425953,
0.08114688843488693,
0.0036461972631514072,
0.02737511321902275,
-0.02637716941535473,
-0.07613232731819153,
0.07477083802223206,
-0.027452904731035233,
0.08719303458929062,
0.08674166351556778,
0.09527777135372162,
-0.005224301014095545,
0.06446302682161331,
0.021833695471286774,
0.0896868109703064,
0.003156213089823723,
0.07394303381443024,
0.018074704334139824,
2.629862063078693e-33,
0.05903514847159386,
0.042010094970464706,
0.0319366417825222,
0.05064115673303604,
-0.06911720335483551,
0.03974903002381325,
0.049969568848609924,
0.006857376080006361,
0.020040184259414673,
-0.07326158881187439,
0.12058557569980621,
0.07371573895215988,
0.042739737778902054,
-0.03257499262690544,
0.037128470838069916,
0.0035339402966201305,
-0.007952459156513214,
0.0601767972111702,
-0.0008550700731575489,
0.08172536641359329,
-0.0010009813122451305,
-0.02435985952615738,
-0.06497067958116531,
-0.02034277282655239,
-0.06865886598825455,
-0.07440216839313507,
0.06497076898813248,
0.025338223204016685,
-0.03160962462425232,
0.003939889371395111,
-0.014057157561182976,
0.12275907397270203,
-0.03690927103161812,
0.11561732739210129,
0.03452879562973976,
-0.044536422938108444,
0.00022583914687857032,
0.037126101553440094,
0.0028666644357144833,
-0.031484100967645645,
0.029786789789795876,
0.05264013260602951,
0.033466886729002,
-0.03337422013282776,
-0.040160126984119415,
-0.07279524952173233,
-0.11850177496671677,
-0.006524616852402687,
0.04634783789515495,
0.006050534546375275,
0.06022894009947777,
0.004340199287980795,
-0.012949717231094837,
-0.03698384016752243,
0.008878098800778389,
-0.05384930223226547,
0.015495243482291698,
-0.029333163052797318,
0.04438634589314461,
-0.036991555243730545,
-0.0326843187212944,
-0.09370635449886322,
-0.03064827248454094,
-0.04067697748541832,
-0.05603456497192383,
0.005084102973341942,
-0.041870005428791046,
-0.008631288073956966,
-0.07618949562311172,
0.05550868809223175,
-0.07205802202224731,
-0.012704373337328434,
0.07475847005844116,
-0.03127316012978554,
0.029331933706998825,
0.014019710011780262,
0.05999287962913513,
0.007776682730764151,
0.030795328319072723,
0.04383615404367447,
-0.060355961322784424,
-0.006766116246581078,
-0.0167674720287323,
-0.02191592939198017,
-0.06526799499988556,
-0.012700204737484455,
-0.06626926362514496,
-0.017653990536928177,
-0.09569620341062546,
0.02285449579358101,
0.005336227361112833,
0.020766468718647957,
-0.0031632794998586178,
-0.017365338280797005,
-0.07036647200584412,
-4.246657748021799e-33,
-0.0865710899233818,
-0.06107165291905403,
-0.06379351764917374,
-0.008804683573544025,
-0.005030414555221796,
0.006522738840430975,
0.012473667040467262,
-0.02106768637895584,
0.031415779143571854,
0.043004609644412994,
0.04492954909801483,
0.040588151663541794,
-0.01771295629441738,
0.055736541748046875,
-0.05400482565164566,
0.03556288778781891,
-0.00863766297698021,
-0.0005584769533015788,
0.0046263872645795345,
-0.06439776718616486,
0.03134922310709953,
0.01764027588069439,
0.0821373239159584,
0.015586677938699722,
-0.00041777704609557986,
0.042782142758369446,
0.05693680793046951,
-0.0020600405987352133,
-0.0687790960073471,
-0.018582060933113098,
0.04744986817240715,
-0.06734450161457062,
-0.08572244644165039,
0.000844536058139056,
-0.08702926337718964,
0.08868443965911865,
0.028110595420002937,
-0.031535156071186066,
-0.07305749505758286,
-0.01330210454761982,
0.012651797384023666,
0.0049798255786299706,
-0.005768801085650921,
0.06294047832489014,
0.040301233530044556,
-0.036483034491539,
-0.013536818325519562,
-0.004537662025541067,
-0.03821761906147003,
0.03926722705364227,
-0.08661232143640518,
0.11049718409776688,
-0.012182919308543205,
0.04779301956295967,
-0.08442877233028412,
-0.05914275720715523,
-0.04161709547042847,
0.04150581359863281,
0.017523281276226044,
0.10400967299938202,
-0.05933967977762222,
0.042656511068344116,
0.0065476237796247005,
0.03927610069513321,
-0.012978505343198776,
-0.023870496079325676,
0.0504063218832016,
-0.015581867657601833,
0.05086246877908707,
0.04763517528772354,
0.011800273321568966,
0.018582072108983994,
-0.009744837880134583,
0.0328848771750927,
0.06515417993068695,
0.054421648383140564,
0.06921149790287018,
0.009690726175904274,
-0.07741562277078629,
0.06550361961126328,
0.06652551889419556,
-0.00827629491686821,
-0.06061599403619766,
0.03894703835248947,
0.0794946551322937,
-0.004777249414473772,
-0.046786483377218246,
-0.0024889830965548754,
-0.02143068052828312,
-0.030372248962521553,
0.04407931864261627,
-0.06300021708011627,
0.005378747824579477,
-0.06615103781223297,
0.089857317507267,
-3.460676722966127e-8,
0.02692689187824726,
-0.027602404356002808,
-0.03742976114153862,
0.024963773787021637,
-0.09098037332296371,
-0.05835755914449692,
-0.012818068265914917,
0.044082075357437134,
-0.05188576132059097,
-0.07047932595014572,
0.035746362060308456,
-0.09225135296583176,
-0.0809009000658989,
0.03693826496601105,
0.05681440234184265,
0.003169098636135459,
0.058747220784425735,
-0.06490068882703781,
0.013825553469359875,
0.03692737594246864,
-0.03655080497264862,
-0.01950657181441784,
0.03228646516799927,
0.05299610644578934,
-0.07949019968509674,
0.03207233548164368,
0.03467508777976036,
0.02099801041185856,
-0.0005110089550726116,
0.01369436364620924,
0.05839516967535019,
-0.0019036990124732256,
-0.003888664534315467,
0.06973356008529663,
-0.10855007916688919,
-0.03067042864859104,
-0.0880701020359993,
0.09894105792045593,
-0.014248892664909363,
-0.00553518533706665,
-0.057043105363845825,
0.06065601110458374,
-0.09716274589300156,
0.03166690468788147,
0.039373982697725296,
0.0564444325864315,
0.003239979734644294,
-0.022914748638868332,
-0.03642554208636284,
0.03513272851705551,
0.0036281871143728495,
0.06041127070784569,
-0.007041042670607567,
-0.005871070548892021,
-0.05197880417108536,
0.05839340388774872,
0.0030394012574106455,
-0.06942317634820938,
-0.030045881867408752,
0.004415849689394236,
-0.008602076210081577,
0.023376332595944405,
-0.0746721401810646,
0.024285372346639633
] |
1401.1545 | Valery Ugrinovskii | V. Ugrinovskii and E. Fridman | A Round-Robin Protocol for Distributed Estimation with $H_\infty$
Consensus | A version of this paper has been presented at the 52nd IEEE CDC,
Florence, Italy | null | null | null | math.OC cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper considers a distributed robust estimation problem over a network
with directed topology involving continuous time observers. While measurements
are available to the observers continuously, the nodes interact according to a
Round-Robin rule, at discrete time instances. The results of the paper are
sufficient conditions which guarantee a suboptimal $H_\infty$ level of
consensus between observers with sampled interconnections.
| [
{
"created": "Tue, 7 Jan 2014 23:48:02 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Ugrinovskii",
"V.",
""
],
[
"Fridman",
"E.",
""
]
] | [
-0.03126544877886772,
0.0047200811095535755,
-0.041350871324539185,
0.05448345094919205,
0.023966331034898758,
-0.0302231777459383,
0.03551383689045906,
0.04106217995285988,
0.010711402632296085,
0.03291535750031471,
-0.08616984635591507,
0.04333239048719406,
0.08412328362464905,
-0.08488727360963821,
-0.11890750378370285,
0.04433542117476463,
0.09777592122554779,
-0.019598808139562607,
0.005768441595137119,
-0.09104268997907639,
-0.023216955363750458,
0.005530901253223419,
-0.023769618943333626,
0.03848325088620186,
-0.01721394620835781,
0.020297175273299217,
-0.06645005196332932,
-0.035478413105010986,
0.005694945342838764,
0.013063651509582996,
-0.08163755387067795,
-0.023311031982302666,
-0.031865429133176804,
-0.10363459587097168,
0.008496502414345741,
0.008639237843453884,
0.028526166453957558,
-0.006582976318895817,
0.040166836231946945,
0.05285508930683136,
0.0967491865158081,
0.1068488284945488,
-0.015558836981654167,
-0.07880054414272308,
-0.06648766249418259,
0.008219916373491287,
-0.008326905779540539,
0.03732611611485481,
-0.1127476766705513,
0.04768950119614601,
-0.01864241436123848,
0.00390099105425179,
0.040227971971035004,
-0.06881753355264664,
0.07211877405643463,
0.016846617683768272,
-0.03127794712781906,
-0.026612000539898872,
0.050867706537246704,
0.055825669318437576,
0.061083290725946426,
-0.04839465394616127,
0.01376134343445301,
0.018995847553014755,
0.016492310911417007,
0.03987959399819374,
0.030071904882788658,
0.047456931322813034,
-0.014504016377031803,
0.039158113300800323,
-0.003300709882751107,
0.055565282702445984,
-0.015956152230501175,
0.0009554431890137494,
0.04668446257710457,
-0.09228748083114624,
0.040636636316776276,
-0.06745807081460953,
0.02737446315586567,
0.0517268106341362,
0.04693453013896942,
0.01588435471057892,
-0.04672517254948616,
-0.03208651393651962,
0.022297892719507217,
-0.09874086081981659,
-0.06481430679559708,
0.06291784346103668,
0.04520095884799957,
-0.0017293653218075633,
-0.13869470357894897,
0.022916147485375404,
-0.04585595801472664,
0.01815009117126465,
0.004963208455592394,
-0.05849442631006241,
0.0379464253783226,
0.08346300572156906,
0.0513637438416481,
0.07727008312940598,
-0.0071514989249408245,
-0.07098560035228729,
0.0016651086043566465,
0.0012773907510563731,
-0.04449787363409996,
0.04870380088686943,
0.02446962147951126,
-0.02222887985408306,
0.02647041156888008,
0.02383292093873024,
-0.023463331162929535,
-0.02232345938682556,
0.003286736784502864,
0.004538842476904392,
0.006230004597455263,
-0.08332361280918121,
0.095907062292099,
0.026065073907375336,
0.06585097312927246,
-0.004807744640856981,
-0.06321337074041367,
-0.04647309333086014,
0.06929853558540344,
-0.07995448261499405,
0.08779178559780121,
0.09969136118888855,
0.09713432192802429,
-8.030475064653884e-34,
-0.03343687579035759,
-0.031947553157806396,
-0.012051320634782314,
-0.08427420258522034,
0.06048332154750824,
0.02749590203166008,
-0.008152655325829983,
-0.03862960636615753,
-0.014328830875456333,
-0.016301101073622704,
0.037624143064022064,
-0.04819653928279877,
-0.04725479334592819,
-0.09159179031848907,
-0.011085989885032177,
-0.03909208998084068,
0.07219725847244263,
0.07929758727550507,
0.016246695071458817,
-0.05372790992259979,
0.02400342747569084,
-0.08768827468156815,
-0.1114041730761528,
0.054680466651916504,
-0.02881157584488392,
-0.07971486449241638,
-0.0019908915273845196,
0.0553886704146862,
0.0695558711886406,
0.010702195577323437,
-0.019243981689214706,
0.03818332031369209,
0.046212803572416306,
0.015316518023610115,
-0.03861646726727486,
0.04393564164638519,
-0.027178868651390076,
0.01556579489260912,
-0.023439921438694,
0.02192673459649086,
0.06295596808195114,
0.016754912212491035,
0.040270768105983734,
-0.0715935081243515,
-0.09030812233686447,
0.042417678982019424,
-0.05645725503563881,
-0.004309965297579765,
-0.07241599261760712,
-0.045208752155303955,
-0.08099109679460526,
-0.015864744782447815,
-0.00011815115431090817,
-0.03655269369482994,
-0.008060058578848839,
-0.032685671001672745,
-0.0546945296227932,
0.012226519174873829,
0.05210333690047264,
0.11532887071371078,
-0.04028497263789177,
0.017428990453481674,
-0.02519926428794861,
-0.06326103210449219,
0.07927186787128448,
0.08746426552534103,
-0.0616253986954689,
-0.03318825364112854,
0.0562160462141037,
-0.026275696232914925,
0.009757041931152344,
0.026768041774630547,
-0.047794781625270844,
-0.0040306756272912025,
0.032808687537908554,
-0.0005748120602220297,
-0.026559658348560333,
0.039468564093112946,
-0.021664045751094818,
0.03876698017120361,
-0.014757296070456505,
-0.07115297019481659,
0.006783504970371723,
0.04120555892586708,
0.020505279302597046,
-0.0008368323324248195,
-0.07720746845006943,
0.13794028759002686,
-0.03478188440203667,
0.04657697677612305,
-0.007715785410255194,
-0.009058197028934956,
0.07876040041446686,
0.018191808834671974,
-0.017941035330295563,
3.359855293308176e-35,
0.016899727284908295,
0.04957224428653717,
0.029439151287078857,
0.07272167503833771,
0.018839843571186066,
0.033876676112413406,
-0.0941365584731102,
-0.010055859573185444,
0.012571596540510654,
-0.05568413808941841,
-0.08377326279878616,
-0.03653736039996147,
-0.023820646107196808,
-0.00589442765340209,
0.007543402258306742,
-0.043989479541778564,
0.08086390048265457,
-0.014796317555010319,
0.05050978064537048,
-0.0349864698946476,
0.0268767848610878,
-0.10032115131616592,
0.029636522755026817,
-0.03294254094362259,
0.08832792937755585,
0.007629687432199717,
-0.060266073793172836,
0.08856970816850662,
0.02204892225563526,
0.0016320321010425687,
-0.0280259121209383,
-0.10708039253950119,
-0.009787987917661667,
0.018237682059407234,
-0.02421065978705883,
-0.008314169012010098,
-0.07825229316949844,
0.01387849822640419,
0.018731405958533287,
0.029932226985692978,
-0.007992126978933811,
-0.029409896582365036,
-0.047710973769426346,
0.055947646498680115,
0.02846492826938629,
0.02485029771924019,
0.026259643957018852,
0.07607530802488327,
-0.0840027704834938,
-0.001584805897437036,
-0.12316304445266724,
-0.005656864494085312,
0.018218807876110077,
0.0026396524626761675,
-0.06461085379123688,
0.07942722737789154,
0.03728169947862625,
0.02953687496483326,
0.06177994981408119,
0.04507794231176376,
0.01776616834104061,
-0.03219696879386902,
-0.07862157374620438,
0.13924886286258698,
0.07545763999223709,
0.07046531140804291,
0.005561924539506435,
-0.02536570280790329,
0.007600681856274605,
0.049980878829956055,
0.029648657888174057,
0.04102369770407677,
-0.03362990543246269,
0.03428131714463234,
0.06463917344808578,
0.05009843409061432,
0.029934922233223915,
0.014012410305440426,
0.028483137488365173,
0.036731407046318054,
-0.05864792689681053,
0.035340942442417145,
0.023051677271723747,
-0.04882742092013359,
0.006096540484577417,
-0.022494396194815636,
0.051779866218566895,
-0.008553991094231606,
0.047636911273002625,
0.008472949266433716,
-0.02935115620493889,
-0.007397316861897707,
-0.0586368665099144,
-0.11805266886949539,
-0.01579274795949459,
-4.125857344661199e-8,
-0.12254221737384796,
0.018300874158740044,
-0.03163698688149452,
0.021212013438344002,
0.050811395049095154,
0.017956167459487915,
0.09827371686697006,
-0.1226181909441948,
0.029334230348467827,
0.05572834983468056,
-0.006452276837080717,
-0.06388343125581741,
0.03828660398721695,
-0.03238268196582794,
-0.09104745090007782,
0.0017694976413622499,
-0.03857351467013359,
0.011964688077569008,
-0.007697707507759333,
0.013478980399668217,
-0.037202589213848114,
-0.008218429051339626,
0.02825109288096428,
0.07158074527978897,
0.026655199006199837,
0.0037021967582404613,
0.007057025097310543,
-0.0017566826427355409,
-0.025752993300557137,
0.000530327029991895,
-0.10673331469297409,
0.08382567018270493,
0.029511839151382446,
0.053493086248636246,
-0.017254507169127464,
0.03328601270914078,
0.015283933840692043,
0.05802827328443527,
0.027919258922338486,
-0.08473242819309235,
-0.03591853752732277,
0.05205231532454491,
-0.06680754572153091,
-0.026870831847190857,
0.008724523708224297,
0.03339878097176552,
0.03420722112059593,
-0.01762848161160946,
0.012516460381448269,
-0.08189883828163147,
0.012035941705107689,
0.01022441778331995,
0.050049226731061935,
0.0186773631721735,
0.0759633406996727,
-0.005950305610895157,
0.0825086459517479,
-0.12093782424926758,
0.026228977367281914,
-0.0129176564514637,
-0.057380255311727524,
0.051184218376874924,
-0.06423051655292511,
-0.013802793808281422
] | null | null | null | null | null | null | null | [
-0.03126544877886772,
0.0047200811095535755,
-0.041350871324539185,
0.05448345094919205,
0.023966331034898758,
-0.0302231777459383,
0.03551383689045906,
0.04106217995285988,
0.010711402632296085,
0.03291535750031471,
-0.08616984635591507,
0.04333239048719406,
0.08412328362464905,
-0.08488727360963821,
-0.11890750378370285,
0.04433542117476463,
0.09777592122554779,
-0.019598808139562607,
0.005768441595137119,
-0.09104268997907639,
-0.023216955363750458,
0.005530901253223419,
-0.023769618943333626,
0.03848325088620186,
-0.01721394620835781,
0.020297175273299217,
-0.06645005196332932,
-0.035478413105010986,
0.005694945342838764,
0.013063651509582996,
-0.08163755387067795,
-0.023311031982302666,
-0.031865429133176804,
-0.10363459587097168,
0.008496502414345741,
0.008639237843453884,
0.028526166453957558,
-0.006582976318895817,
0.040166836231946945,
0.05285508930683136,
0.0967491865158081,
0.1068488284945488,
-0.015558836981654167,
-0.07880054414272308,
-0.06648766249418259,
0.008219916373491287,
-0.008326905779540539,
0.03732611611485481,
-0.1127476766705513,
0.04768950119614601,
-0.01864241436123848,
0.00390099105425179,
0.040227971971035004,
-0.06881753355264664,
0.07211877405643463,
0.016846617683768272,
-0.03127794712781906,
-0.026612000539898872,
0.050867706537246704,
0.055825669318437576,
0.061083290725946426,
-0.04839465394616127,
0.01376134343445301,
0.018995847553014755,
0.016492310911417007,
0.03987959399819374,
0.030071904882788658,
0.047456931322813034,
-0.014504016377031803,
0.039158113300800323,
-0.003300709882751107,
0.055565282702445984,
-0.015956152230501175,
0.0009554431890137494,
0.04668446257710457,
-0.09228748083114624,
0.040636636316776276,
-0.06745807081460953,
0.02737446315586567,
0.0517268106341362,
0.04693453013896942,
0.01588435471057892,
-0.04672517254948616,
-0.03208651393651962,
0.022297892719507217,
-0.09874086081981659,
-0.06481430679559708,
0.06291784346103668,
0.04520095884799957,
-0.0017293653218075633,
-0.13869470357894897,
0.022916147485375404,
-0.04585595801472664,
0.01815009117126465,
0.004963208455592394,
-0.05849442631006241,
0.0379464253783226,
0.08346300572156906,
0.0513637438416481,
0.07727008312940598,
-0.0071514989249408245,
-0.07098560035228729,
0.0016651086043566465,
0.0012773907510563731,
-0.04449787363409996,
0.04870380088686943,
0.02446962147951126,
-0.02222887985408306,
0.02647041156888008,
0.02383292093873024,
-0.023463331162929535,
-0.02232345938682556,
0.003286736784502864,
0.004538842476904392,
0.006230004597455263,
-0.08332361280918121,
0.095907062292099,
0.026065073907375336,
0.06585097312927246,
-0.004807744640856981,
-0.06321337074041367,
-0.04647309333086014,
0.06929853558540344,
-0.07995448261499405,
0.08779178559780121,
0.09969136118888855,
0.09713432192802429,
-8.030475064653884e-34,
-0.03343687579035759,
-0.031947553157806396,
-0.012051320634782314,
-0.08427420258522034,
0.06048332154750824,
0.02749590203166008,
-0.008152655325829983,
-0.03862960636615753,
-0.014328830875456333,
-0.016301101073622704,
0.037624143064022064,
-0.04819653928279877,
-0.04725479334592819,
-0.09159179031848907,
-0.011085989885032177,
-0.03909208998084068,
0.07219725847244263,
0.07929758727550507,
0.016246695071458817,
-0.05372790992259979,
0.02400342747569084,
-0.08768827468156815,
-0.1114041730761528,
0.054680466651916504,
-0.02881157584488392,
-0.07971486449241638,
-0.0019908915273845196,
0.0553886704146862,
0.0695558711886406,
0.010702195577323437,
-0.019243981689214706,
0.03818332031369209,
0.046212803572416306,
0.015316518023610115,
-0.03861646726727486,
0.04393564164638519,
-0.027178868651390076,
0.01556579489260912,
-0.023439921438694,
0.02192673459649086,
0.06295596808195114,
0.016754912212491035,
0.040270768105983734,
-0.0715935081243515,
-0.09030812233686447,
0.042417678982019424,
-0.05645725503563881,
-0.004309965297579765,
-0.07241599261760712,
-0.045208752155303955,
-0.08099109679460526,
-0.015864744782447815,
-0.00011815115431090817,
-0.03655269369482994,
-0.008060058578848839,
-0.032685671001672745,
-0.0546945296227932,
0.012226519174873829,
0.05210333690047264,
0.11532887071371078,
-0.04028497263789177,
0.017428990453481674,
-0.02519926428794861,
-0.06326103210449219,
0.07927186787128448,
0.08746426552534103,
-0.0616253986954689,
-0.03318825364112854,
0.0562160462141037,
-0.026275696232914925,
0.009757041931152344,
0.026768041774630547,
-0.047794781625270844,
-0.0040306756272912025,
0.032808687537908554,
-0.0005748120602220297,
-0.026559658348560333,
0.039468564093112946,
-0.021664045751094818,
0.03876698017120361,
-0.014757296070456505,
-0.07115297019481659,
0.006783504970371723,
0.04120555892586708,
0.020505279302597046,
-0.0008368323324248195,
-0.07720746845006943,
0.13794028759002686,
-0.03478188440203667,
0.04657697677612305,
-0.007715785410255194,
-0.009058197028934956,
0.07876040041446686,
0.018191808834671974,
-0.017941035330295563,
3.359855293308176e-35,
0.016899727284908295,
0.04957224428653717,
0.029439151287078857,
0.07272167503833771,
0.018839843571186066,
0.033876676112413406,
-0.0941365584731102,
-0.010055859573185444,
0.012571596540510654,
-0.05568413808941841,
-0.08377326279878616,
-0.03653736039996147,
-0.023820646107196808,
-0.00589442765340209,
0.007543402258306742,
-0.043989479541778564,
0.08086390048265457,
-0.014796317555010319,
0.05050978064537048,
-0.0349864698946476,
0.0268767848610878,
-0.10032115131616592,
0.029636522755026817,
-0.03294254094362259,
0.08832792937755585,
0.007629687432199717,
-0.060266073793172836,
0.08856970816850662,
0.02204892225563526,
0.0016320321010425687,
-0.0280259121209383,
-0.10708039253950119,
-0.009787987917661667,
0.018237682059407234,
-0.02421065978705883,
-0.008314169012010098,
-0.07825229316949844,
0.01387849822640419,
0.018731405958533287,
0.029932226985692978,
-0.007992126978933811,
-0.029409896582365036,
-0.047710973769426346,
0.055947646498680115,
0.02846492826938629,
0.02485029771924019,
0.026259643957018852,
0.07607530802488327,
-0.0840027704834938,
-0.001584805897437036,
-0.12316304445266724,
-0.005656864494085312,
0.018218807876110077,
0.0026396524626761675,
-0.06461085379123688,
0.07942722737789154,
0.03728169947862625,
0.02953687496483326,
0.06177994981408119,
0.04507794231176376,
0.01776616834104061,
-0.03219696879386902,
-0.07862157374620438,
0.13924886286258698,
0.07545763999223709,
0.07046531140804291,
0.005561924539506435,
-0.02536570280790329,
0.007600681856274605,
0.049980878829956055,
0.029648657888174057,
0.04102369770407677,
-0.03362990543246269,
0.03428131714463234,
0.06463917344808578,
0.05009843409061432,
0.029934922233223915,
0.014012410305440426,
0.028483137488365173,
0.036731407046318054,
-0.05864792689681053,
0.035340942442417145,
0.023051677271723747,
-0.04882742092013359,
0.006096540484577417,
-0.022494396194815636,
0.051779866218566895,
-0.008553991094231606,
0.047636911273002625,
0.008472949266433716,
-0.02935115620493889,
-0.007397316861897707,
-0.0586368665099144,
-0.11805266886949539,
-0.01579274795949459,
-4.125857344661199e-8,
-0.12254221737384796,
0.018300874158740044,
-0.03163698688149452,
0.021212013438344002,
0.050811395049095154,
0.017956167459487915,
0.09827371686697006,
-0.1226181909441948,
0.029334230348467827,
0.05572834983468056,
-0.006452276837080717,
-0.06388343125581741,
0.03828660398721695,
-0.03238268196582794,
-0.09104745090007782,
0.0017694976413622499,
-0.03857351467013359,
0.011964688077569008,
-0.007697707507759333,
0.013478980399668217,
-0.037202589213848114,
-0.008218429051339626,
0.02825109288096428,
0.07158074527978897,
0.026655199006199837,
0.0037021967582404613,
0.007057025097310543,
-0.0017566826427355409,
-0.025752993300557137,
0.000530327029991895,
-0.10673331469297409,
0.08382567018270493,
0.029511839151382446,
0.053493086248636246,
-0.017254507169127464,
0.03328601270914078,
0.015283933840692043,
0.05802827328443527,
0.027919258922338486,
-0.08473242819309235,
-0.03591853752732277,
0.05205231532454491,
-0.06680754572153091,
-0.026870831847190857,
0.008724523708224297,
0.03339878097176552,
0.03420722112059593,
-0.01762848161160946,
0.012516460381448269,
-0.08189883828163147,
0.012035941705107689,
0.01022441778331995,
0.050049226731061935,
0.0186773631721735,
0.0759633406996727,
-0.005950305610895157,
0.0825086459517479,
-0.12093782424926758,
0.026228977367281914,
-0.0129176564514637,
-0.057380255311727524,
0.051184218376874924,
-0.06423051655292511,
-0.013802793808281422
] |
1401.1549 | Zheng Wen | Zheng Wen, Daniel O'Neill and Hamid Reza Maei | Optimal Demand Response Using Device Based Reinforcement Learning | null | null | null | null | cs.LG cs.AI cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Demand response (DR) for residential and small commercial buildings is
estimated to account for as much as 65% of the total energy savings potential
of DR, and previous work shows that a fully automated Energy Management System
(EMS) is a necessary prerequisite to DR in these areas. In this paper, we
propose a novel EMS formulation for DR problems in these sectors. Specifically,
we formulate a fully automated EMS's rescheduling problem as a reinforcement
learning (RL) problem, and argue that this RL problem can be approximately
solved by decomposing it over device clusters. Compared with existing
formulations, our new formulation (1) does not require explicitly modeling the
user's dissatisfaction on job rescheduling, (2) enables the EMS to
self-initiate jobs, (3) allows the user to initiate more flexible requests and
(4) has a computational complexity linear in the number of devices. We also
demonstrate the simulation results of applying Q-learning, one of the most
popular and classical RL algorithms, to a representative example.
| [
{
"created": "Wed, 8 Jan 2014 00:49:01 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Jun 2014 04:24:47 GMT",
"version": "v2"
}
] | 2014-10-07 | [
[
"Wen",
"Zheng",
""
],
[
"O'Neill",
"Daniel",
""
],
[
"Maei",
"Hamid Reza",
""
]
] | [
-0.07270298898220062,
0.07925190031528473,
0.0694853663444519,
0.09752017259597778,
-0.017216674983501434,
-0.06457695364952087,
-0.0013454993022605777,
-0.021922403946518898,
-0.007144683040678501,
0.05564437434077263,
-0.060845132917165756,
-0.015176618471741676,
0.03890896588563919,
0.028657061979174614,
0.0356418676674366,
-0.00583371939137578,
0.015966027975082397,
-0.04540899395942688,
-0.011546395719051361,
-0.07032166421413422,
0.0378585048019886,
0.013610039837658405,
0.04403243213891983,
-0.03000672347843647,
0.07133758813142776,
0.032688334584236145,
0.049592286348342896,
0.07443549484014511,
0.027699753642082214,
0.022015787661075592,
0.00852301623672247,
-0.07970190048217773,
0.002709407825022936,
-0.043710097670555115,
0.0009495998383499682,
0.08426237851381302,
-0.07314608991146088,
0.015750285238027573,
-0.06604601442813873,
0.003611389547586441,
-0.061607617884874344,
-0.05350330471992493,
-0.024085422977805138,
0.06270916759967804,
0.0776548981666565,
0.046716295182704926,
-0.037129078060388565,
0.0002581849694252014,
-0.02590019255876541,
-0.047486599534749985,
0.06755057722330093,
-0.007984837517142296,
-0.028228605166077614,
0.09636310487985611,
-0.01260729506611824,
0.04743592068552971,
0.08500317484140396,
-0.02869485504925251,
0.023365667089819908,
-0.04287740960717201,
-0.0010321771260350943,
-0.13364051282405853,
-0.024236492812633514,
-0.010230574756860733,
-0.09076078236103058,
0.021251298487186432,
-0.04234587028622627,
0.06361069530248642,
-0.009815956465899944,
-0.07019958645105362,
-0.0348377525806427,
-0.04704120010137558,
0.02390335686504841,
-0.010267218574881554,
0.062317125499248505,
-0.028263043612241745,
-0.03483355790376663,
0.03225553780794144,
0.010738014243543148,
-0.0376679003238678,
-0.0022991453297436237,
-0.05045871436595917,
-0.08097440749406815,
0.00884982943534851,
0.06463726609945297,
-0.0391709990799427,
-0.009898020885884762,
0.054294876754283905,
0.03203723952174187,
-0.009030742570757866,
0.04643595591187477,
0.09288517385721207,
0.012172630056738853,
-0.03663815185427666,
-0.04567382484674454,
-0.028804892674088478,
-0.011771051213145256,
-0.0924876257777214,
-0.018639547750353813,
0.07362601906061172,
0.019984230399131775,
0.07192999869585037,
0.00447206012904644,
0.006625667214393616,
0.024186797440052032,
-0.021461570635437965,
-0.043222181499004364,
0.06046799197793007,
0.0386849120259285,
-0.12001735717058182,
-0.025563852861523628,
0.014806210994720459,
-0.02132861688733101,
0.0383048877120018,
0.0006462333840318024,
0.04278385266661644,
0.0776045024394989,
-0.021536100655794144,
0.005111647304147482,
0.04345778003334999,
-0.018091319128870964,
-0.0535738579928875,
-0.006779760587960482,
-0.04191482812166214,
0.057925742119550705,
-0.0496334582567215,
-0.028158994391560555,
1.2909744566695882e-33,
-0.06611133366823196,
-0.003243447281420231,
0.005359728820621967,
-0.009722424671053886,
0.053545646369457245,
-0.02614060416817665,
0.05725984275341034,
0.10419435054063797,
0.09508784115314484,
-0.07126761972904205,
0.03603486716747284,
0.013969413936138153,
0.017975926399230957,
0.05627850815653801,
0.043706025928258896,
-0.02617652714252472,
-0.008587782271206379,
-0.016827920451760292,
0.05291593074798584,
-0.09241168200969696,
-0.005534525495022535,
-0.0571301132440567,
0.008378290571272373,
0.006667552515864372,
0.012868917547166348,
0.01914416439831257,
0.10014210641384125,
0.054297201335430145,
0.04895121976733208,
-0.0116923488676548,
-0.0020184172317385674,
-0.0016195469070225954,
-0.04391695559024811,
0.021792342886328697,
-0.07706452906131744,
0.06848068535327911,
-0.0016791134839877486,
0.022741449996829033,
0.006684599444270134,
-0.012126808054745197,
-0.06131765991449356,
0.007579959463328123,
0.05448522791266441,
-0.01328726764768362,
-0.07858464121818542,
-0.02606365457177162,
0.08059711009263992,
-0.09518618881702423,
-0.07712288945913315,
0.06559013575315475,
0.011954054236412048,
-0.04472736641764641,
0.02888612635433674,
-0.052832845598459244,
-0.05785452947020531,
-0.0079874312505126,
0.00977547187358141,
0.016910580918192863,
-0.009406334720551968,
0.0016220803372561932,
0.044249601662158966,
-0.011806665919721127,
0.015742557123303413,
0.08836830407381058,
0.008216267451643944,
0.03669920563697815,
0.06866344809532166,
0.04564067721366882,
-0.002651938470080495,
0.06832573562860489,
0.07124441117048264,
0.00858372449874878,
0.04119070991873741,
-0.04976188763976097,
0.07008913904428482,
-0.007200637366622686,
0.047626011073589325,
-0.014903570525348186,
-0.14308571815490723,
-0.03924419358372688,
0.002790427766740322,
-0.022207314148545265,
0.04360078275203705,
-0.047348957508802414,
0.048412173986434937,
-0.14536523818969727,
0.021149808540940285,
-0.07126720249652863,
0.0018890666542574763,
0.038077328354120255,
-0.1210574135184288,
0.052633870393037796,
-0.017287302762269974,
0.12190936505794525,
0.0011891251197084785,
-1.4194196223579857e-33,
0.015069341287016869,
0.03357263281941414,
-0.05162005126476288,
0.03987608850002289,
0.03713621199131012,
0.005332802888005972,
-0.08829871565103531,
-0.04171972721815109,
0.03409559279680252,
-0.003017036709934473,
-0.11481522768735886,
0.0062910714186728,
0.013512416742742062,
-0.00954403355717659,
-0.036381904035806656,
0.044289883226156235,
-0.02282600849866867,
-0.10652235150337219,
0.01136768888682127,
0.07430556416511536,
-0.040549032390117645,
0.04655639827251434,
-0.054160524159669876,
0.007683493662625551,
-0.022505929693579674,
0.04705609008669853,
-0.01909133605659008,
0.06004176661372185,
-0.028269845992326736,
-0.0014821677468717098,
-0.09337738156318665,
-0.15286105871200562,
-0.04672809690237045,
-0.026822516694664955,
0.040575090795755386,
0.055753037333488464,
0.015505379997193813,
0.08475546538829803,
-0.008156104013323784,
0.09044928848743439,
0.13140039145946503,
-0.09576164931058884,
-0.048266250640153885,
-0.0016635606298223138,
-0.0006810014601796865,
-0.06500866264104843,
-0.021069515496492386,
-0.049634020775556564,
-0.08448334783315659,
0.014487408101558685,
0.018409989774227142,
0.0206702072173357,
-0.1013438031077385,
-0.0128330634906888,
-0.05896381661295891,
-0.027685867622494698,
0.032134879380464554,
0.059865809977054596,
-0.010697824880480766,
0.03357771039009094,
-0.00035913640749640763,
-0.10022378712892532,
0.010669654235243797,
0.055220793932676315,
-0.05095534771680832,
-0.03934498131275177,
0.09076126664876938,
-0.04209360480308533,
-0.001992760458961129,
-0.04711832106113434,
-0.03901277855038643,
0.05198166146874428,
0.018837522715330124,
0.0031832633540034294,
-0.012493718415498734,
-0.04539736732840538,
0.008773180656135082,
-0.08738590031862259,
-0.050856053829193115,
-0.043398257344961166,
-0.007974537089467049,
0.017550043761730194,
-0.003727550618350506,
0.034993965178728104,
-0.043680544942617416,
0.010444276966154575,
0.045860111713409424,
0.061215177178382874,
0.01380710955709219,
-0.000411399727454409,
0.0015383173013105989,
0.056504178792238235,
0.0233007799834013,
0.10506750643253326,
-0.03933337330818176,
-4.692799748795551e-8,
-0.0018292056629434228,
0.012646285817027092,
0.10295252501964569,
-0.05749928578734398,
0.1011839210987091,
-0.08125504851341248,
0.029868178069591522,
0.02660398930311203,
-0.0070161400362849236,
-0.0057456037029623985,
0.08010128140449524,
-0.007874961011111736,
0.055990446358919144,
0.03049023076891899,
-0.06379485130310059,
0.11964080482721329,
0.03349185734987259,
-0.009033855982124805,
-0.03257013112306595,
0.016875512897968292,
0.0340840108692646,
0.024766063317656517,
0.01229101326316595,
-0.04057173803448677,
0.08492115139961243,
-0.024796489626169205,
-0.013319236226379871,
0.023076774552464485,
0.09219805151224136,
0.0044683124870061874,
-0.03300471976399422,
-0.007048073690384626,
0.02818632684648037,
-0.04578031226992607,
0.018318546935915947,
0.000904013286344707,
0.05091648921370506,
-0.12547485530376434,
0.021829649806022644,
-0.02844030037522316,
-0.0056111752055585384,
0.00958191603422165,
-0.025794439017772675,
-0.00964220892637968,
0.009755213744938374,
-0.04383668303489685,
-0.11345494538545609,
-0.04782797396183014,
0.06752830743789673,
0.041642412543296814,
0.036299142986536026,
-0.038970209658145905,
0.022885233163833618,
-0.02793627791106701,
0.037061020731925964,
-0.06327392905950546,
0.03376057744026184,
-0.09078996628522873,
0.08562085777521133,
0.021021032705903053,
0.0717969611287117,
0.0010840866016224027,
-0.08136942982673645,
0.0495070181787014
] | null | null | null | null | null | null | null | [
-0.07270298898220062,
0.07925190031528473,
0.0694853663444519,
0.09752017259597778,
-0.017216674983501434,
-0.06457695364952087,
-0.0013454993022605777,
-0.021922403946518898,
-0.007144683040678501,
0.05564437434077263,
-0.060845132917165756,
-0.015176618471741676,
0.03890896588563919,
0.028657061979174614,
0.0356418676674366,
-0.00583371939137578,
0.015966027975082397,
-0.04540899395942688,
-0.011546395719051361,
-0.07032166421413422,
0.0378585048019886,
0.013610039837658405,
0.04403243213891983,
-0.03000672347843647,
0.07133758813142776,
0.032688334584236145,
0.049592286348342896,
0.07443549484014511,
0.027699753642082214,
0.022015787661075592,
0.00852301623672247,
-0.07970190048217773,
0.002709407825022936,
-0.043710097670555115,
0.0009495998383499682,
0.08426237851381302,
-0.07314608991146088,
0.015750285238027573,
-0.06604601442813873,
0.003611389547586441,
-0.061607617884874344,
-0.05350330471992493,
-0.024085422977805138,
0.06270916759967804,
0.0776548981666565,
0.046716295182704926,
-0.037129078060388565,
0.0002581849694252014,
-0.02590019255876541,
-0.047486599534749985,
0.06755057722330093,
-0.007984837517142296,
-0.028228605166077614,
0.09636310487985611,
-0.01260729506611824,
0.04743592068552971,
0.08500317484140396,
-0.02869485504925251,
0.023365667089819908,
-0.04287740960717201,
-0.0010321771260350943,
-0.13364051282405853,
-0.024236492812633514,
-0.010230574756860733,
-0.09076078236103058,
0.021251298487186432,
-0.04234587028622627,
0.06361069530248642,
-0.009815956465899944,
-0.07019958645105362,
-0.0348377525806427,
-0.04704120010137558,
0.02390335686504841,
-0.010267218574881554,
0.062317125499248505,
-0.028263043612241745,
-0.03483355790376663,
0.03225553780794144,
0.010738014243543148,
-0.0376679003238678,
-0.0022991453297436237,
-0.05045871436595917,
-0.08097440749406815,
0.00884982943534851,
0.06463726609945297,
-0.0391709990799427,
-0.009898020885884762,
0.054294876754283905,
0.03203723952174187,
-0.009030742570757866,
0.04643595591187477,
0.09288517385721207,
0.012172630056738853,
-0.03663815185427666,
-0.04567382484674454,
-0.028804892674088478,
-0.011771051213145256,
-0.0924876257777214,
-0.018639547750353813,
0.07362601906061172,
0.019984230399131775,
0.07192999869585037,
0.00447206012904644,
0.006625667214393616,
0.024186797440052032,
-0.021461570635437965,
-0.043222181499004364,
0.06046799197793007,
0.0386849120259285,
-0.12001735717058182,
-0.025563852861523628,
0.014806210994720459,
-0.02132861688733101,
0.0383048877120018,
0.0006462333840318024,
0.04278385266661644,
0.0776045024394989,
-0.021536100655794144,
0.005111647304147482,
0.04345778003334999,
-0.018091319128870964,
-0.0535738579928875,
-0.006779760587960482,
-0.04191482812166214,
0.057925742119550705,
-0.0496334582567215,
-0.028158994391560555,
1.2909744566695882e-33,
-0.06611133366823196,
-0.003243447281420231,
0.005359728820621967,
-0.009722424671053886,
0.053545646369457245,
-0.02614060416817665,
0.05725984275341034,
0.10419435054063797,
0.09508784115314484,
-0.07126761972904205,
0.03603486716747284,
0.013969413936138153,
0.017975926399230957,
0.05627850815653801,
0.043706025928258896,
-0.02617652714252472,
-0.008587782271206379,
-0.016827920451760292,
0.05291593074798584,
-0.09241168200969696,
-0.005534525495022535,
-0.0571301132440567,
0.008378290571272373,
0.006667552515864372,
0.012868917547166348,
0.01914416439831257,
0.10014210641384125,
0.054297201335430145,
0.04895121976733208,
-0.0116923488676548,
-0.0020184172317385674,
-0.0016195469070225954,
-0.04391695559024811,
0.021792342886328697,
-0.07706452906131744,
0.06848068535327911,
-0.0016791134839877486,
0.022741449996829033,
0.006684599444270134,
-0.012126808054745197,
-0.06131765991449356,
0.007579959463328123,
0.05448522791266441,
-0.01328726764768362,
-0.07858464121818542,
-0.02606365457177162,
0.08059711009263992,
-0.09518618881702423,
-0.07712288945913315,
0.06559013575315475,
0.011954054236412048,
-0.04472736641764641,
0.02888612635433674,
-0.052832845598459244,
-0.05785452947020531,
-0.0079874312505126,
0.00977547187358141,
0.016910580918192863,
-0.009406334720551968,
0.0016220803372561932,
0.044249601662158966,
-0.011806665919721127,
0.015742557123303413,
0.08836830407381058,
0.008216267451643944,
0.03669920563697815,
0.06866344809532166,
0.04564067721366882,
-0.002651938470080495,
0.06832573562860489,
0.07124441117048264,
0.00858372449874878,
0.04119070991873741,
-0.04976188763976097,
0.07008913904428482,
-0.007200637366622686,
0.047626011073589325,
-0.014903570525348186,
-0.14308571815490723,
-0.03924419358372688,
0.002790427766740322,
-0.022207314148545265,
0.04360078275203705,
-0.047348957508802414,
0.048412173986434937,
-0.14536523818969727,
0.021149808540940285,
-0.07126720249652863,
0.0018890666542574763,
0.038077328354120255,
-0.1210574135184288,
0.052633870393037796,
-0.017287302762269974,
0.12190936505794525,
0.0011891251197084785,
-1.4194196223579857e-33,
0.015069341287016869,
0.03357263281941414,
-0.05162005126476288,
0.03987608850002289,
0.03713621199131012,
0.005332802888005972,
-0.08829871565103531,
-0.04171972721815109,
0.03409559279680252,
-0.003017036709934473,
-0.11481522768735886,
0.0062910714186728,
0.013512416742742062,
-0.00954403355717659,
-0.036381904035806656,
0.044289883226156235,
-0.02282600849866867,
-0.10652235150337219,
0.01136768888682127,
0.07430556416511536,
-0.040549032390117645,
0.04655639827251434,
-0.054160524159669876,
0.007683493662625551,
-0.022505929693579674,
0.04705609008669853,
-0.01909133605659008,
0.06004176661372185,
-0.028269845992326736,
-0.0014821677468717098,
-0.09337738156318665,
-0.15286105871200562,
-0.04672809690237045,
-0.026822516694664955,
0.040575090795755386,
0.055753037333488464,
0.015505379997193813,
0.08475546538829803,
-0.008156104013323784,
0.09044928848743439,
0.13140039145946503,
-0.09576164931058884,
-0.048266250640153885,
-0.0016635606298223138,
-0.0006810014601796865,
-0.06500866264104843,
-0.021069515496492386,
-0.049634020775556564,
-0.08448334783315659,
0.014487408101558685,
0.018409989774227142,
0.0206702072173357,
-0.1013438031077385,
-0.0128330634906888,
-0.05896381661295891,
-0.027685867622494698,
0.032134879380464554,
0.059865809977054596,
-0.010697824880480766,
0.03357771039009094,
-0.00035913640749640763,
-0.10022378712892532,
0.010669654235243797,
0.055220793932676315,
-0.05095534771680832,
-0.03934498131275177,
0.09076126664876938,
-0.04209360480308533,
-0.001992760458961129,
-0.04711832106113434,
-0.03901277855038643,
0.05198166146874428,
0.018837522715330124,
0.0031832633540034294,
-0.012493718415498734,
-0.04539736732840538,
0.008773180656135082,
-0.08738590031862259,
-0.050856053829193115,
-0.043398257344961166,
-0.007974537089467049,
0.017550043761730194,
-0.003727550618350506,
0.034993965178728104,
-0.043680544942617416,
0.010444276966154575,
0.045860111713409424,
0.061215177178382874,
0.01380710955709219,
-0.000411399727454409,
0.0015383173013105989,
0.056504178792238235,
0.0233007799834013,
0.10506750643253326,
-0.03933337330818176,
-4.692799748795551e-8,
-0.0018292056629434228,
0.012646285817027092,
0.10295252501964569,
-0.05749928578734398,
0.1011839210987091,
-0.08125504851341248,
0.029868178069591522,
0.02660398930311203,
-0.0070161400362849236,
-0.0057456037029623985,
0.08010128140449524,
-0.007874961011111736,
0.055990446358919144,
0.03049023076891899,
-0.06379485130310059,
0.11964080482721329,
0.03349185734987259,
-0.009033855982124805,
-0.03257013112306595,
0.016875512897968292,
0.0340840108692646,
0.024766063317656517,
0.01229101326316595,
-0.04057173803448677,
0.08492115139961243,
-0.024796489626169205,
-0.013319236226379871,
0.023076774552464485,
0.09219805151224136,
0.0044683124870061874,
-0.03300471976399422,
-0.007048073690384626,
0.02818632684648037,
-0.04578031226992607,
0.018318546935915947,
0.000904013286344707,
0.05091648921370506,
-0.12547485530376434,
0.021829649806022644,
-0.02844030037522316,
-0.0056111752055585384,
0.00958191603422165,
-0.025794439017772675,
-0.00964220892637968,
0.009755213744938374,
-0.04383668303489685,
-0.11345494538545609,
-0.04782797396183014,
0.06752830743789673,
0.041642412543296814,
0.036299142986536026,
-0.038970209658145905,
0.022885233163833618,
-0.02793627791106701,
0.037061020731925964,
-0.06327392905950546,
0.03376057744026184,
-0.09078996628522873,
0.08562085777521133,
0.021021032705903053,
0.0717969611287117,
0.0010840866016224027,
-0.08136942982673645,
0.0495070181787014
] |
1401.1550 | Sile Nic Chormaic | Ivan Gusachenko, Mary C. Frawley, Viet Giang Truong and Sile Nic
Chormaic | Optical nanofiber integrated into an optical tweezers for particle
manipulation and in-situ fiber probing | 7 pages, 4 figures | null | 10.1117/12.2061442 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Precise control of particle positioning is desirable in many optical
propulsion and sorting applications. Here, we develop an integrated platform
for particle manipulation consisting of a combined optical nanofiber and
optical tweezers system. Individual silica microspheres were introduced to the
nanofiber at arbitrary points using the optical tweezers, thereby producing
pronounced dips in the fiber transmission. We show that such consistent and
reversible transmission modulations depend on both particle and fiber diameter,
and may be used as a reference point for in-situ nanofiber or particle size
measurement. Therefore we combine SEM size measurements with nanofiber
transmission data to provide calibration for particle-based fiber assessment.
We also demonstrate how the optical tweezers can be used to create a particle
jet to feed a supply of microspheres to the nanofiber surface, forming a
particle conveyor belt. This integrated optical platform provides a method for
selective evanescent field manipulation of micron-sized particles and
facilitates studies of optical binding and light-particle interaction dynamics.
| [
{
"created": "Wed, 8 Jan 2014 00:51:33 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jul 2014 23:48:06 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Gusachenko",
"Ivan",
""
],
[
"Frawley",
"Mary C.",
""
],
[
"Truong",
"Viet Giang",
""
],
[
"Chormaic",
"Sile Nic",
""
]
] | [
0.07900360226631165,
-0.08691131323575974,
0.005515691824257374,
0.008616078644990921,
0.027110708877444267,
-0.003172745695337653,
0.039496470242738724,
0.02145140804350376,
0.011939759366214275,
0.05297200754284859,
0.01426243782043457,
0.09149552881717682,
-0.0813569724559784,
0.0027129892259836197,
0.020183051005005836,
0.06473606824874878,
0.06742262840270996,
0.07177212089300156,
0.03366543725132942,
0.03627970814704895,
0.05544493347406387,
-0.02564064785838127,
0.01935892552137375,
0.055452313274145126,
-0.0504491850733757,
-0.003443271154537797,
-0.05682923272252083,
0.011527388356626034,
-0.0626574158668518,
0.0297635979950428,
0.04068867862224579,
-0.023377226665616035,
-0.08943530172109604,
0.0072654662653803825,
0.014242731966078281,
-0.06521480530500412,
0.024483947083353996,
-0.0007023913785815239,
0.009878589771687984,
-0.04066585749387741,
0.027824342250823975,
-0.0672626793384552,
0.0045259613543748856,
-0.03354107216000557,
0.007372746709734201,
0.02038451097905636,
0.1057322770357132,
0.04375714808702469,
-0.0015926661435514688,
0.017600489780306816,
-0.04144870117306709,
-0.049618471413850784,
0.00811934843659401,
0.028960181400179863,
-0.013790491037070751,
0.09097515791654587,
0.02058747224509716,
-0.02357373759150505,
0.02480914629995823,
-0.003856304567307234,
-0.014042332768440247,
-0.03202475607395172,
0.016806792467832565,
0.016468269750475883,
0.013606388121843338,
-0.03336559981107712,
0.05424663797020912,
0.05159878358244896,
0.020835010334849358,
-0.024662233889102936,
0.016810061410069466,
0.003277816344052553,
-0.004440314136445522,
0.17387576401233673,
-0.04467521980404854,
-0.01465426106005907,
-0.02200213260948658,
0.11077271401882172,
-0.00466875871643424,
0.13277670741081238,
-0.0021880243439227343,
0.01187211088836193,
0.0012216753093525767,
0.07039103657007217,
-0.051308415830135345,
0.09633032977581024,
0.011761576868593693,
0.09307053685188293,
-0.034506894648075104,
-0.04727587103843689,
-0.05824249982833862,
-0.06724412739276886,
-0.012692194432020187,
-0.021367350593209267,
0.021074997261166573,
-0.16223466396331787,
-0.09023138135671616,
-0.05236252024769783,
0.019805772230029106,
-0.040602244436740875,
0.03821020945906639,
-0.014846581034362316,
-0.005811189766973257,
-0.026042219251394272,
-0.02527461014688015,
-0.013043380342423916,
0.002542725531384349,
0.043093807995319366,
0.08035340160131454,
0.04525703191757202,
0.022953448817133904,
-0.03532449156045914,
-0.0037984466180205345,
0.0204729363322258,
0.009684420190751553,
0.05732588469982147,
0.008001106791198254,
0.04202663525938988,
-0.06514132022857666,
-0.026353610679507256,
-0.036997247487306595,
-0.03800738602876663,
-0.05262240022420883,
0.031049128621816635,
-0.010786756873130798,
0.1301507204771042,
0.03634943440556526,
4.1891670743879655e-34,
0.10065948218107224,
0.020434224978089333,
0.05984427407383919,
0.04616608843207359,
-0.058130163699388504,
-0.01711771823465824,
0.08008645474910736,
0.04899635165929794,
-0.04944565147161484,
-0.012908237054944038,
0.01054585725069046,
0.002965853549540043,
-0.023066699504852295,
0.021888481453061104,
0.07149636745452881,
-0.10319891571998596,
0.05282484367489815,
0.004321701359003782,
0.0028788885101675987,
0.01081911288201809,
-0.05974910408258438,
-0.04206971451640129,
-0.04826563596725464,
-0.005575933959335089,
0.017034078016877174,
0.041248008608818054,
-0.1225932240486145,
0.04632319137454033,
0.03839544206857681,
-0.044398777186870575,
0.032589565962553024,
0.044405948370695114,
0.024282101541757584,
0.03314737230539322,
0.05673785135149956,
-0.10651496052742004,
-0.03591068089008331,
0.0022787281777709723,
0.0015729193110018969,
-0.029296275228261948,
-0.00029105920111760497,
0.02878628857433796,
0.041600022464990616,
-0.07053197175264359,
-0.038014549762010574,
-0.028060363605618477,
-0.09613204002380371,
-0.07247452437877655,
-0.012061789631843567,
-0.02130262926220894,
0.026043424382805824,
-0.014994390308856964,
0.09743335843086243,
-0.016151931136846542,
0.08907125890254974,
-0.04420589655637741,
-0.016872040927410126,
-0.03232906386256218,
0.004994477145373821,
-0.10388939827680588,
-0.013212534599006176,
-0.07004117965698242,
0.03020261786878109,
-0.02931724302470684,
0.03419095650315285,
0.07165657728910446,
0.0015613745199516416,
0.0997374877333641,
-0.007192752789705992,
0.05379980430006981,
-0.05012120306491852,
0.08362053334712982,
-0.08265073597431183,
-0.024496784433722496,
0.04071871191263199,
0.07921382784843445,
-0.0261184424161911,
-0.05271964892745018,
0.027063917368650436,
0.05276407301425934,
-0.042498864233493805,
-0.04836476594209671,
0.014186467044055462,
-0.03397679701447487,
-0.06884554773569107,
-0.02225901558995247,
-0.0030838511884212494,
-0.011473027989268303,
-0.05963444709777832,
-0.08676202595233917,
0.033811211585998535,
-0.033646468073129654,
0.025952264666557312,
0.07681168615818024,
-0.1423012763261795,
-1.6266968371258836e-33,
-0.0172794871032238,
-0.046288393437862396,
-0.0187145434319973,
0.08258386701345444,
0.005854640156030655,
0.05976175516843796,
-0.017922258004546165,
-0.02494507096707821,
0.002188509562984109,
-0.007294631563127041,
-0.06931064277887344,
0.04253358766436577,
0.008388739079236984,
0.012845371849834919,
-0.033920325338840485,
0.0895635262131691,
-0.08144760876893997,
-0.10687733441591263,
0.02529955841600895,
-0.05555374547839165,
-0.02004191093146801,
0.04922556132078171,
0.14438627660274506,
-0.03958588466048241,
-0.06029493734240532,
0.007968900725245476,
0.11530283093452454,
-0.07022888213396072,
-0.047517500817775726,
-0.02746778354048729,
0.02765829674899578,
-0.07802217453718185,
0.1013321578502655,
0.02942986972630024,
-0.019001713022589684,
-0.02250014618039131,
0.01576508767902851,
0.016535218805074692,
0.10485909134149551,
-0.06903696060180664,
-0.024438826367259026,
-0.0008577238186262548,
-0.017500460147857666,
-0.010404324159026146,
-0.05793687701225281,
-0.0037380268331617117,
-0.03133971989154816,
0.010092693381011486,
-0.03972162306308746,
0.01315945852547884,
-0.07281247526407242,
0.0863523930311203,
-0.025051485747098923,
0.03019263967871666,
-0.017949890345335007,
0.03569374606013298,
-0.003174064913764596,
0.004595899488776922,
-0.008401470258831978,
0.010025158524513245,
-0.07384757697582245,
-0.0020768134854733944,
0.011675788089632988,
0.0019178944639861584,
-0.015788184478878975,
0.05846512317657471,
-0.02052038535475731,
0.044727202504873276,
-0.01819208636879921,
-0.04775488004088402,
0.05892843380570412,
0.02729189023375511,
0.1131235733628273,
0.016127828508615494,
0.057073671370744705,
-0.10819034278392792,
0.06503280997276306,
0.01912444829940796,
-0.0005984134622849524,
0.05746087431907654,
-0.016336962580680847,
0.06915025413036346,
-0.021113967522978783,
-0.000861305627040565,
0.02371586114168167,
0.022485103458166122,
0.021733518689870834,
-0.0067108445800840855,
-0.0389232337474823,
0.0034444143529981375,
0.05849902704358101,
0.037658631801605225,
0.14793691039085388,
-0.03536637872457504,
0.004039813298732042,
-4.131620912062317e-8,
0.06519164144992828,
0.034045472741127014,
0.04008745029568672,
0.000642360479105264,
-0.06273969262838364,
0.0719941183924675,
0.015854274854063988,
0.08771450817584991,
-0.047287292778491974,
-0.013228222727775574,
0.04275701940059662,
-0.041794631630182266,
-0.06140916794538498,
0.0016188008012250066,
0.09326882660388947,
-0.055908747017383575,
-0.017162388190627098,
-0.0946287214756012,
-0.053798411041498184,
-0.029893454164266586,
-0.020824052393436432,
-0.012504516169428825,
0.06090838462114334,
0.06190980225801468,
-0.023260850459337234,
-0.003026616061106324,
-0.08014750480651855,
-0.03677644580602646,
0.001463628956116736,
0.013496635481715202,
-0.03549589589238167,
0.02179780974984169,
-0.05037393793463707,
0.06785750389099121,
-0.1193900853395462,
0.024896973744034767,
-0.11847497522830963,
0.039430540055036545,
0.015140647999942303,
0.0009044501930475235,
-0.03035692498087883,
-0.026796717196702957,
-0.03232937306165695,
-0.029664354398846626,
-0.04007279500365257,
0.009646998718380928,
0.01900956593453884,
-0.04067129269242287,
-0.11356399953365326,
0.08091061562299728,
-0.022181181237101555,
0.042417433112859726,
-0.01568492315709591,
0.037559378892183304,
0.013430877588689327,
-0.01403539814054966,
-0.045824941247701645,
-0.02162335067987442,
-0.0187417883425951,
0.0009371296036988497,
-0.005811518523842096,
-0.037470743060112,
-0.07267690449953079,
0.006886172108352184
] | null | null | null | null | null | null | null | [
0.07900360226631165,
-0.08691131323575974,
0.005515691824257374,
0.008616078644990921,
0.027110708877444267,
-0.003172745695337653,
0.039496470242738724,
0.02145140804350376,
0.011939759366214275,
0.05297200754284859,
0.01426243782043457,
0.09149552881717682,
-0.0813569724559784,
0.0027129892259836197,
0.020183051005005836,
0.06473606824874878,
0.06742262840270996,
0.07177212089300156,
0.03366543725132942,
0.03627970814704895,
0.05544493347406387,
-0.02564064785838127,
0.01935892552137375,
0.055452313274145126,
-0.0504491850733757,
-0.003443271154537797,
-0.05682923272252083,
0.011527388356626034,
-0.0626574158668518,
0.0297635979950428,
0.04068867862224579,
-0.023377226665616035,
-0.08943530172109604,
0.0072654662653803825,
0.014242731966078281,
-0.06521480530500412,
0.024483947083353996,
-0.0007023913785815239,
0.009878589771687984,
-0.04066585749387741,
0.027824342250823975,
-0.0672626793384552,
0.0045259613543748856,
-0.03354107216000557,
0.007372746709734201,
0.02038451097905636,
0.1057322770357132,
0.04375714808702469,
-0.0015926661435514688,
0.017600489780306816,
-0.04144870117306709,
-0.049618471413850784,
0.00811934843659401,
0.028960181400179863,
-0.013790491037070751,
0.09097515791654587,
0.02058747224509716,
-0.02357373759150505,
0.02480914629995823,
-0.003856304567307234,
-0.014042332768440247,
-0.03202475607395172,
0.016806792467832565,
0.016468269750475883,
0.013606388121843338,
-0.03336559981107712,
0.05424663797020912,
0.05159878358244896,
0.020835010334849358,
-0.024662233889102936,
0.016810061410069466,
0.003277816344052553,
-0.004440314136445522,
0.17387576401233673,
-0.04467521980404854,
-0.01465426106005907,
-0.02200213260948658,
0.11077271401882172,
-0.00466875871643424,
0.13277670741081238,
-0.0021880243439227343,
0.01187211088836193,
0.0012216753093525767,
0.07039103657007217,
-0.051308415830135345,
0.09633032977581024,
0.011761576868593693,
0.09307053685188293,
-0.034506894648075104,
-0.04727587103843689,
-0.05824249982833862,
-0.06724412739276886,
-0.012692194432020187,
-0.021367350593209267,
0.021074997261166573,
-0.16223466396331787,
-0.09023138135671616,
-0.05236252024769783,
0.019805772230029106,
-0.040602244436740875,
0.03821020945906639,
-0.014846581034362316,
-0.005811189766973257,
-0.026042219251394272,
-0.02527461014688015,
-0.013043380342423916,
0.002542725531384349,
0.043093807995319366,
0.08035340160131454,
0.04525703191757202,
0.022953448817133904,
-0.03532449156045914,
-0.0037984466180205345,
0.0204729363322258,
0.009684420190751553,
0.05732588469982147,
0.008001106791198254,
0.04202663525938988,
-0.06514132022857666,
-0.026353610679507256,
-0.036997247487306595,
-0.03800738602876663,
-0.05262240022420883,
0.031049128621816635,
-0.010786756873130798,
0.1301507204771042,
0.03634943440556526,
4.1891670743879655e-34,
0.10065948218107224,
0.020434224978089333,
0.05984427407383919,
0.04616608843207359,
-0.058130163699388504,
-0.01711771823465824,
0.08008645474910736,
0.04899635165929794,
-0.04944565147161484,
-0.012908237054944038,
0.01054585725069046,
0.002965853549540043,
-0.023066699504852295,
0.021888481453061104,
0.07149636745452881,
-0.10319891571998596,
0.05282484367489815,
0.004321701359003782,
0.0028788885101675987,
0.01081911288201809,
-0.05974910408258438,
-0.04206971451640129,
-0.04826563596725464,
-0.005575933959335089,
0.017034078016877174,
0.041248008608818054,
-0.1225932240486145,
0.04632319137454033,
0.03839544206857681,
-0.044398777186870575,
0.032589565962553024,
0.044405948370695114,
0.024282101541757584,
0.03314737230539322,
0.05673785135149956,
-0.10651496052742004,
-0.03591068089008331,
0.0022787281777709723,
0.0015729193110018969,
-0.029296275228261948,
-0.00029105920111760497,
0.02878628857433796,
0.041600022464990616,
-0.07053197175264359,
-0.038014549762010574,
-0.028060363605618477,
-0.09613204002380371,
-0.07247452437877655,
-0.012061789631843567,
-0.02130262926220894,
0.026043424382805824,
-0.014994390308856964,
0.09743335843086243,
-0.016151931136846542,
0.08907125890254974,
-0.04420589655637741,
-0.016872040927410126,
-0.03232906386256218,
0.004994477145373821,
-0.10388939827680588,
-0.013212534599006176,
-0.07004117965698242,
0.03020261786878109,
-0.02931724302470684,
0.03419095650315285,
0.07165657728910446,
0.0015613745199516416,
0.0997374877333641,
-0.007192752789705992,
0.05379980430006981,
-0.05012120306491852,
0.08362053334712982,
-0.08265073597431183,
-0.024496784433722496,
0.04071871191263199,
0.07921382784843445,
-0.0261184424161911,
-0.05271964892745018,
0.027063917368650436,
0.05276407301425934,
-0.042498864233493805,
-0.04836476594209671,
0.014186467044055462,
-0.03397679701447487,
-0.06884554773569107,
-0.02225901558995247,
-0.0030838511884212494,
-0.011473027989268303,
-0.05963444709777832,
-0.08676202595233917,
0.033811211585998535,
-0.033646468073129654,
0.025952264666557312,
0.07681168615818024,
-0.1423012763261795,
-1.6266968371258836e-33,
-0.0172794871032238,
-0.046288393437862396,
-0.0187145434319973,
0.08258386701345444,
0.005854640156030655,
0.05976175516843796,
-0.017922258004546165,
-0.02494507096707821,
0.002188509562984109,
-0.007294631563127041,
-0.06931064277887344,
0.04253358766436577,
0.008388739079236984,
0.012845371849834919,
-0.033920325338840485,
0.0895635262131691,
-0.08144760876893997,
-0.10687733441591263,
0.02529955841600895,
-0.05555374547839165,
-0.02004191093146801,
0.04922556132078171,
0.14438627660274506,
-0.03958588466048241,
-0.06029493734240532,
0.007968900725245476,
0.11530283093452454,
-0.07022888213396072,
-0.047517500817775726,
-0.02746778354048729,
0.02765829674899578,
-0.07802217453718185,
0.1013321578502655,
0.02942986972630024,
-0.019001713022589684,
-0.02250014618039131,
0.01576508767902851,
0.016535218805074692,
0.10485909134149551,
-0.06903696060180664,
-0.024438826367259026,
-0.0008577238186262548,
-0.017500460147857666,
-0.010404324159026146,
-0.05793687701225281,
-0.0037380268331617117,
-0.03133971989154816,
0.010092693381011486,
-0.03972162306308746,
0.01315945852547884,
-0.07281247526407242,
0.0863523930311203,
-0.025051485747098923,
0.03019263967871666,
-0.017949890345335007,
0.03569374606013298,
-0.003174064913764596,
0.004595899488776922,
-0.008401470258831978,
0.010025158524513245,
-0.07384757697582245,
-0.0020768134854733944,
0.011675788089632988,
0.0019178944639861584,
-0.015788184478878975,
0.05846512317657471,
-0.02052038535475731,
0.044727202504873276,
-0.01819208636879921,
-0.04775488004088402,
0.05892843380570412,
0.02729189023375511,
0.1131235733628273,
0.016127828508615494,
0.057073671370744705,
-0.10819034278392792,
0.06503280997276306,
0.01912444829940796,
-0.0005984134622849524,
0.05746087431907654,
-0.016336962580680847,
0.06915025413036346,
-0.021113967522978783,
-0.000861305627040565,
0.02371586114168167,
0.022485103458166122,
0.021733518689870834,
-0.0067108445800840855,
-0.0389232337474823,
0.0034444143529981375,
0.05849902704358101,
0.037658631801605225,
0.14793691039085388,
-0.03536637872457504,
0.004039813298732042,
-4.131620912062317e-8,
0.06519164144992828,
0.034045472741127014,
0.04008745029568672,
0.000642360479105264,
-0.06273969262838364,
0.0719941183924675,
0.015854274854063988,
0.08771450817584991,
-0.047287292778491974,
-0.013228222727775574,
0.04275701940059662,
-0.041794631630182266,
-0.06140916794538498,
0.0016188008012250066,
0.09326882660388947,
-0.055908747017383575,
-0.017162388190627098,
-0.0946287214756012,
-0.053798411041498184,
-0.029893454164266586,
-0.020824052393436432,
-0.012504516169428825,
0.06090838462114334,
0.06190980225801468,
-0.023260850459337234,
-0.003026616061106324,
-0.08014750480651855,
-0.03677644580602646,
0.001463628956116736,
0.013496635481715202,
-0.03549589589238167,
0.02179780974984169,
-0.05037393793463707,
0.06785750389099121,
-0.1193900853395462,
0.024896973744034767,
-0.11847497522830963,
0.039430540055036545,
0.015140647999942303,
0.0009044501930475235,
-0.03035692498087883,
-0.026796717196702957,
-0.03232937306165695,
-0.029664354398846626,
-0.04007279500365257,
0.009646998718380928,
0.01900956593453884,
-0.04067129269242287,
-0.11356399953365326,
0.08091061562299728,
-0.022181181237101555,
0.042417433112859726,
-0.01568492315709591,
0.037559378892183304,
0.013430877588689327,
-0.01403539814054966,
-0.045824941247701645,
-0.02162335067987442,
-0.0187417883425951,
0.0009371296036988497,
-0.005811518523842096,
-0.037470743060112,
-0.07267690449953079,
0.006886172108352184
] |
1401.1551 | Alessandro Checco | Alessandro Checco, Carlo Lancia, Douglas J. Leith | Updating Neighbour Cell List via Crowdsourced User Reports: a Framework
for Measuring Time Performance | null | null | 10.1155/2018/9028427 | null | cs.NI cs.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we introduce the idea of estimating local topology in wireless
networks by means of crowdsourced user reports. In this approach each user
periodically reports to the serving basestation information about the set of
neighbouring basestations observed by the user. We show that, by mapping the
local topological structure of the network onto states of increasing knowledge,
a crisp mathematical framework can be obtained, which allows in turn for the
use of a variety of user mobility models. Using a simplified mobility model we
show how obtain useful upper bounds on the expected time for a basestation to
gain full knowledge of its local neighbourhood, answering the fundamental
question about which classes of network deployments can effectively benefit
from a crowdsourcing approach.
| [
{
"created": "Wed, 8 Jan 2014 00:54:12 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2014 22:47:12 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Nov 2019 17:36:34 GMT",
"version": "v3"
}
] | 2019-11-21 | [
[
"Checco",
"Alessandro",
""
],
[
"Lancia",
"Carlo",
""
],
[
"Leith",
"Douglas J.",
""
]
] | [
0.03656373545527458,
-0.100700244307518,
-0.008743316866457462,
0.021791759878396988,
0.04729972779750824,
-0.025602582842111588,
0.0216442309319973,
0.0817868560552597,
0.0166245736181736,
-0.021003400906920433,
-0.019369279965758324,
0.013686152175068855,
0.12551291286945343,
0.05049127712845802,
-0.011704640462994576,
0.006050123833119869,
0.05051161348819733,
-0.09897039085626602,
0.03369910642504692,
-0.07009615004062653,
0.012726107612252235,
0.013732844963669777,
0.018906624987721443,
-0.029149342328310013,
0.07946506887674332,
0.021420113742351532,
0.043197862803936005,
0.04666115343570709,
0.027574731037020683,
0.0361742228269577,
0.010262195020914078,
0.08248898386955261,
0.05275672301650047,
-0.060934342443943024,
0.012212974019348621,
-0.03567144647240639,
0.0021310648880898952,
0.0692497044801712,
-0.005727170500904322,
0.022186828777194023,
0.03128979355096817,
0.009207295253872871,
0.0646229237318039,
0.1566370725631714,
-0.013305684551596642,
0.03384660556912422,
-0.027364592999219894,
0.06630653887987137,
-0.04514360800385475,
0.026366734877228737,
0.011394094675779343,
-0.041035283356904984,
0.01726514846086502,
-0.016333764418959618,
0.002119887387380004,
0.026708191260695457,
-0.006780383177101612,
0.0055154673755168915,
0.01119094155728817,
0.023810386657714844,
0.0705680176615715,
-0.055713824927806854,
-0.04984946548938751,
0.009468075819313526,
0.05245158076286316,
-0.04181918874382973,
-0.028363438323140144,
0.05986717715859413,
-0.007016703952103853,
-0.00840382743626833,
0.02522164024412632,
0.07463173568248749,
-0.04397858306765556,
0.047005124390125275,
0.08596766740083694,
0.009911930188536644,
-0.0026606915052980185,
-0.03322865441441536,
-0.006681782193481922,
-0.0727543905377388,
-0.0004430779372341931,
0.006358471233397722,
0.04202372580766678,
0.060275837779045105,
0.0813397467136383,
-0.08590371906757355,
0.0027659456245601177,
0.02436826191842556,
-0.008323458023369312,
-0.08174419403076172,
-0.09720606356859207,
0.053803980350494385,
-0.049036528915166855,
-0.026323003694415092,
-0.063323013484478,
0.04078104346990585,
0.006893566809594631,
-0.05953603982925415,
0.020619463175535202,
0.12231460958719254,
-0.07847278565168381,
0.02141050435602665,
0.024701686576008797,
-0.05400978773832321,
0.0025287417229264975,
0.031023239716887474,
-0.05060654878616333,
0.05227399244904518,
0.04820302873849869,
0.03435174375772476,
0.029326897114515305,
-0.018962254747748375,
-0.08622100949287415,
0.012547003105282784,
-0.01793658919632435,
-0.04260664060711861,
0.031131435185670853,
0.03841383755207062,
-0.05168997496366501,
0.05519700422883034,
-0.042608510702848434,
-0.02670707367360592,
0.03822115808725357,
-0.08997835218906403,
0.08577121049165726,
0.055871639400720596,
0.021971290931105614,
1.4122599434065164e-33,
0.04542965814471245,
-0.0034429356455802917,
0.004164472222328186,
0.06514176726341248,
0.030209338292479515,
-0.023256661370396614,
-0.015627438202500343,
-0.07127435505390167,
0.030421385541558266,
-0.036888059228658676,
0.013666474260389805,
0.10682790726423264,
0.05761414393782616,
-0.020990191027522087,
0.056843120604753494,
-0.019625166431069374,
0.03592858463525772,
-0.0005688011879101396,
-0.04871155694127083,
-0.006472962908446789,
0.09635288268327713,
-0.07395732402801514,
-0.016811830922961235,
-0.016187969595193863,
0.03626024350523949,
-0.07045077532529831,
-0.06785998493432999,
-0.0005324843223206699,
0.09809394180774689,
-0.007935711182653904,
0.003587007988244295,
0.07778491079807281,
-0.030381010845303535,
0.005410052835941315,
-0.013501986861228943,
0.03740635886788368,
-0.0056151458993554115,
-0.10463772714138031,
0.0022835726849734783,
-0.05691426619887352,
0.009773185476660728,
-0.008644620887935162,
-0.003741020802408457,
-0.01795484684407711,
-0.0559128001332283,
-0.05654346942901611,
-0.029809586703777313,
-0.003497346304357052,
0.004566927906125784,
-0.005007398780435324,
0.044811345636844635,
-0.04705258086323738,
-0.025178415700793266,
0.04001053050160408,
0.01852564513683319,
-0.019128020852804184,
-0.024808961898088455,
0.00030937333940528333,
0.07921767234802246,
0.07965806871652603,
0.03392107039690018,
0.0050563202239573,
0.026380416005849838,
-0.006354601122438908,
0.024469563737511635,
-0.06747887283563614,
0.025293922051787376,
0.0025154182221740484,
0.07008054107427597,
0.04610162600874901,
0.035473551601171494,
0.06927720457315445,
-0.024973027408123016,
0.02625308744609356,
-0.05048994719982147,
0.029035659506917,
-0.05339185521006584,
-0.0009438268025405705,
-0.050073571503162384,
0.022128215059638023,
0.05517870560288429,
-0.10830667614936829,
-0.05791274830698967,
-0.0474088154733181,
0.07364949584007263,
-0.033425312489271164,
0.016735978424549103,
-0.06999978423118591,
-0.08828947693109512,
0.0606822706758976,
-0.018398122861981392,
0.015342021360993385,
-0.0834592953324318,
0.0333637073636055,
-0.076417475938797,
-1.3957216562454084e-33,
-0.06688100844621658,
0.010626164264976978,
0.07868669927120209,
-0.0220200102776289,
-0.020486993715167046,
-0.07593732327222824,
0.016541915014386177,
-0.008980881422758102,
-0.05785128474235535,
-0.02283383347094059,
-0.1020200327038765,
0.01615344174206257,
0.08574934303760529,
-0.012482448481023312,
-0.04267079383134842,
-0.003694532671943307,
0.07836218178272247,
-0.054981328547000885,
-0.001472028554417193,
-0.011561643332242966,
-0.026566170156002045,
-0.041331883519887924,
-0.11709295213222504,
-0.00375871523283422,
0.066026970744133,
-0.011291059665381908,
-0.0436236709356308,
0.012558079324662685,
-0.024230504408478737,
0.03808823227882385,
-0.04384281858801842,
-0.11475183069705963,
-0.0508137084543705,
-0.11923707276582718,
0.022595923393964767,
0.09283152222633362,
-0.012235965579748154,
0.06766225397586823,
-0.0164027139544487,
0.016815265640616417,
-0.005259540397673845,
-0.05366571620106697,
-0.1001751571893692,
-0.058734942227602005,
-0.012079413048923016,
-0.010794849134981632,
-0.033928487449884415,
0.05760656297206879,
-0.08697102218866348,
-0.07024303823709488,
0.04190024733543396,
0.06424211710691452,
-0.004499315749853849,
-0.017820224165916443,
-0.002723229816183448,
0.08857661485671997,
-0.043308716267347336,
-0.053690385073423386,
0.08610749244689941,
0.04212452098727226,
-0.002021654974669218,
-0.11351426690816879,
-0.03020654432475567,
0.12425553053617477,
-0.038569871336221695,
-0.0703531801700592,
-0.013141105882823467,
0.008659068495035172,
-0.08799116313457489,
0.04471411556005478,
-0.046823177486658096,
0.01882731355726719,
-0.06121297925710678,
-0.04173516109585762,
-0.008653167635202408,
0.026325726881623268,
0.16528168320655823,
0.07637427002191544,
0.052417654544115067,
-0.07862385362386703,
-0.010767033323645592,
0.04187717288732529,
0.0009267920977436006,
-0.10009321570396423,
0.05583098530769348,
0.017572784796357155,
0.06128227710723877,
0.04823222756385803,
0.017810197547078133,
0.018334925174713135,
-0.007566544692963362,
0.005078187678009272,
-0.04701881855726242,
-0.00598174100741744,
-0.03696819022297859,
-4.1742875822592396e-8,
-0.16809147596359253,
0.07277604192495346,
0.09555332362651825,
-0.0023853303864598274,
0.0020499497186392546,
0.07915244251489639,
0.13022370636463165,
0.05706115812063217,
0.028762709349393845,
0.05114133283495903,
0.01779249496757984,
0.06346511840820312,
-0.004134112503379583,
0.021598804742097855,
-0.017059676349163055,
0.09862526506185532,
0.011853262782096863,
-0.0032332970295101404,
-0.03762098401784897,
0.03861171379685402,
-0.020038198679685593,
0.011117561720311642,
0.02160433866083622,
0.013555006124079227,
0.03434734046459198,
-0.005448782350867987,
-0.021471060812473297,
0.011048726737499237,
0.019389867782592773,
-0.04828839749097824,
-0.05387137830257416,
0.02239186316728592,
0.0034457072615623474,
-0.025598961859941483,
-0.004258479457348585,
0.06530876457691193,
-0.046692702919244766,
0.01786891557276249,
-0.04323877766728401,
-0.051855094730854034,
0.016426660120487213,
-0.0031687694136053324,
-0.010493592359125614,
0.036547109484672546,
0.049421779811382294,
0.009467885829508305,
0.007241330109536648,
0.031904228031635284,
-0.01800117827951908,
-0.07994290441274643,
-0.059476155787706375,
-0.046789687126874924,
-0.03323063999414444,
-0.04011591151356697,
0.07809216529130936,
0.012989587150514126,
-0.008326624520123005,
-0.06455540657043457,
0.08183259516954422,
-0.010706308297812939,
-0.13024009764194489,
-0.010935353115200996,
-0.043330587446689606,
0.027245162054896355
] | null | null | null | null | null | null | null | [
0.03656373545527458,
-0.100700244307518,
-0.008743316866457462,
0.021791759878396988,
0.04729972779750824,
-0.025602582842111588,
0.0216442309319973,
0.0817868560552597,
0.0166245736181736,
-0.021003400906920433,
-0.019369279965758324,
0.013686152175068855,
0.12551291286945343,
0.05049127712845802,
-0.011704640462994576,
0.006050123833119869,
0.05051161348819733,
-0.09897039085626602,
0.03369910642504692,
-0.07009615004062653,
0.012726107612252235,
0.013732844963669777,
0.018906624987721443,
-0.029149342328310013,
0.07946506887674332,
0.021420113742351532,
0.043197862803936005,
0.04666115343570709,
0.027574731037020683,
0.0361742228269577,
0.010262195020914078,
0.08248898386955261,
0.05275672301650047,
-0.060934342443943024,
0.012212974019348621,
-0.03567144647240639,
0.0021310648880898952,
0.0692497044801712,
-0.005727170500904322,
0.022186828777194023,
0.03128979355096817,
0.009207295253872871,
0.0646229237318039,
0.1566370725631714,
-0.013305684551596642,
0.03384660556912422,
-0.027364592999219894,
0.06630653887987137,
-0.04514360800385475,
0.026366734877228737,
0.011394094675779343,
-0.041035283356904984,
0.01726514846086502,
-0.016333764418959618,
0.002119887387380004,
0.026708191260695457,
-0.006780383177101612,
0.0055154673755168915,
0.01119094155728817,
0.023810386657714844,
0.0705680176615715,
-0.055713824927806854,
-0.04984946548938751,
0.009468075819313526,
0.05245158076286316,
-0.04181918874382973,
-0.028363438323140144,
0.05986717715859413,
-0.007016703952103853,
-0.00840382743626833,
0.02522164024412632,
0.07463173568248749,
-0.04397858306765556,
0.047005124390125275,
0.08596766740083694,
0.009911930188536644,
-0.0026606915052980185,
-0.03322865441441536,
-0.006681782193481922,
-0.0727543905377388,
-0.0004430779372341931,
0.006358471233397722,
0.04202372580766678,
0.060275837779045105,
0.0813397467136383,
-0.08590371906757355,
0.0027659456245601177,
0.02436826191842556,
-0.008323458023369312,
-0.08174419403076172,
-0.09720606356859207,
0.053803980350494385,
-0.049036528915166855,
-0.026323003694415092,
-0.063323013484478,
0.04078104346990585,
0.006893566809594631,
-0.05953603982925415,
0.020619463175535202,
0.12231460958719254,
-0.07847278565168381,
0.02141050435602665,
0.024701686576008797,
-0.05400978773832321,
0.0025287417229264975,
0.031023239716887474,
-0.05060654878616333,
0.05227399244904518,
0.04820302873849869,
0.03435174375772476,
0.029326897114515305,
-0.018962254747748375,
-0.08622100949287415,
0.012547003105282784,
-0.01793658919632435,
-0.04260664060711861,
0.031131435185670853,
0.03841383755207062,
-0.05168997496366501,
0.05519700422883034,
-0.042608510702848434,
-0.02670707367360592,
0.03822115808725357,
-0.08997835218906403,
0.08577121049165726,
0.055871639400720596,
0.021971290931105614,
1.4122599434065164e-33,
0.04542965814471245,
-0.0034429356455802917,
0.004164472222328186,
0.06514176726341248,
0.030209338292479515,
-0.023256661370396614,
-0.015627438202500343,
-0.07127435505390167,
0.030421385541558266,
-0.036888059228658676,
0.013666474260389805,
0.10682790726423264,
0.05761414393782616,
-0.020990191027522087,
0.056843120604753494,
-0.019625166431069374,
0.03592858463525772,
-0.0005688011879101396,
-0.04871155694127083,
-0.006472962908446789,
0.09635288268327713,
-0.07395732402801514,
-0.016811830922961235,
-0.016187969595193863,
0.03626024350523949,
-0.07045077532529831,
-0.06785998493432999,
-0.0005324843223206699,
0.09809394180774689,
-0.007935711182653904,
0.003587007988244295,
0.07778491079807281,
-0.030381010845303535,
0.005410052835941315,
-0.013501986861228943,
0.03740635886788368,
-0.0056151458993554115,
-0.10463772714138031,
0.0022835726849734783,
-0.05691426619887352,
0.009773185476660728,
-0.008644620887935162,
-0.003741020802408457,
-0.01795484684407711,
-0.0559128001332283,
-0.05654346942901611,
-0.029809586703777313,
-0.003497346304357052,
0.004566927906125784,
-0.005007398780435324,
0.044811345636844635,
-0.04705258086323738,
-0.025178415700793266,
0.04001053050160408,
0.01852564513683319,
-0.019128020852804184,
-0.024808961898088455,
0.00030937333940528333,
0.07921767234802246,
0.07965806871652603,
0.03392107039690018,
0.0050563202239573,
0.026380416005849838,
-0.006354601122438908,
0.024469563737511635,
-0.06747887283563614,
0.025293922051787376,
0.0025154182221740484,
0.07008054107427597,
0.04610162600874901,
0.035473551601171494,
0.06927720457315445,
-0.024973027408123016,
0.02625308744609356,
-0.05048994719982147,
0.029035659506917,
-0.05339185521006584,
-0.0009438268025405705,
-0.050073571503162384,
0.022128215059638023,
0.05517870560288429,
-0.10830667614936829,
-0.05791274830698967,
-0.0474088154733181,
0.07364949584007263,
-0.033425312489271164,
0.016735978424549103,
-0.06999978423118591,
-0.08828947693109512,
0.0606822706758976,
-0.018398122861981392,
0.015342021360993385,
-0.0834592953324318,
0.0333637073636055,
-0.076417475938797,
-1.3957216562454084e-33,
-0.06688100844621658,
0.010626164264976978,
0.07868669927120209,
-0.0220200102776289,
-0.020486993715167046,
-0.07593732327222824,
0.016541915014386177,
-0.008980881422758102,
-0.05785128474235535,
-0.02283383347094059,
-0.1020200327038765,
0.01615344174206257,
0.08574934303760529,
-0.012482448481023312,
-0.04267079383134842,
-0.003694532671943307,
0.07836218178272247,
-0.054981328547000885,
-0.001472028554417193,
-0.011561643332242966,
-0.026566170156002045,
-0.041331883519887924,
-0.11709295213222504,
-0.00375871523283422,
0.066026970744133,
-0.011291059665381908,
-0.0436236709356308,
0.012558079324662685,
-0.024230504408478737,
0.03808823227882385,
-0.04384281858801842,
-0.11475183069705963,
-0.0508137084543705,
-0.11923707276582718,
0.022595923393964767,
0.09283152222633362,
-0.012235965579748154,
0.06766225397586823,
-0.0164027139544487,
0.016815265640616417,
-0.005259540397673845,
-0.05366571620106697,
-0.1001751571893692,
-0.058734942227602005,
-0.012079413048923016,
-0.010794849134981632,
-0.033928487449884415,
0.05760656297206879,
-0.08697102218866348,
-0.07024303823709488,
0.04190024733543396,
0.06424211710691452,
-0.004499315749853849,
-0.017820224165916443,
-0.002723229816183448,
0.08857661485671997,
-0.043308716267347336,
-0.053690385073423386,
0.08610749244689941,
0.04212452098727226,
-0.002021654974669218,
-0.11351426690816879,
-0.03020654432475567,
0.12425553053617477,
-0.038569871336221695,
-0.0703531801700592,
-0.013141105882823467,
0.008659068495035172,
-0.08799116313457489,
0.04471411556005478,
-0.046823177486658096,
0.01882731355726719,
-0.06121297925710678,
-0.04173516109585762,
-0.008653167635202408,
0.026325726881623268,
0.16528168320655823,
0.07637427002191544,
0.052417654544115067,
-0.07862385362386703,
-0.010767033323645592,
0.04187717288732529,
0.0009267920977436006,
-0.10009321570396423,
0.05583098530769348,
0.017572784796357155,
0.06128227710723877,
0.04823222756385803,
0.017810197547078133,
0.018334925174713135,
-0.007566544692963362,
0.005078187678009272,
-0.04701881855726242,
-0.00598174100741744,
-0.03696819022297859,
-4.1742875822592396e-8,
-0.16809147596359253,
0.07277604192495346,
0.09555332362651825,
-0.0023853303864598274,
0.0020499497186392546,
0.07915244251489639,
0.13022370636463165,
0.05706115812063217,
0.028762709349393845,
0.05114133283495903,
0.01779249496757984,
0.06346511840820312,
-0.004134112503379583,
0.021598804742097855,
-0.017059676349163055,
0.09862526506185532,
0.011853262782096863,
-0.0032332970295101404,
-0.03762098401784897,
0.03861171379685402,
-0.020038198679685593,
0.011117561720311642,
0.02160433866083622,
0.013555006124079227,
0.03434734046459198,
-0.005448782350867987,
-0.021471060812473297,
0.011048726737499237,
0.019389867782592773,
-0.04828839749097824,
-0.05387137830257416,
0.02239186316728592,
0.0034457072615623474,
-0.025598961859941483,
-0.004258479457348585,
0.06530876457691193,
-0.046692702919244766,
0.01786891557276249,
-0.04323877766728401,
-0.051855094730854034,
0.016426660120487213,
-0.0031687694136053324,
-0.010493592359125614,
0.036547109484672546,
0.049421779811382294,
0.009467885829508305,
0.007241330109536648,
0.031904228031635284,
-0.01800117827951908,
-0.07994290441274643,
-0.059476155787706375,
-0.046789687126874924,
-0.03323063999414444,
-0.04011591151356697,
0.07809216529130936,
0.012989587150514126,
-0.008326624520123005,
-0.06455540657043457,
0.08183259516954422,
-0.010706308297812939,
-0.13024009764194489,
-0.010935353115200996,
-0.043330587446689606,
0.027245162054896355
] |
1401.1558 | Ming Yan | Zhitao Fan and Feng Guan and Chunlin Wu and Ming Yan | The Continuity of Images by Transmission Imaging Revisited | 23 pages, 8 figures | null | null | null | math.DG cs.CV math.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Transmission imaging, as an important imaging technique widely used in
astronomy, medical diagnosis, and biology science, has been shown in [49] quite
different from reflection imaging used in our everyday life. Understanding the
structures of images (the prior information) is important for designing,
testing, and choosing image processing methods, and good image processing
methods are helpful for further uses of the image data, e.g., increasing the
accuracy of the object reconstruction methods in transmission imaging
applications. In reflection imaging, the images are usually modeled as
discontinuous functions and even piecewise constant functions. In transmission
imaging, it was shown very recently in [49] that almost all images are
continuous functions. However, the author in [49] considered only the case of
parallel beam geometry and used some too strong assumptions in the proof, which
exclude some common cases such as cylindrical objects. In this paper, we
consider more general beam geometries and simplify the assumptions by using
totally different techniques. In particular, we will prove that almost all
images in transmission imaging with both parallel and divergent beam geometries
(two most typical beam geometries) are continuous functions, under much weaker
assumptions than those in [49], which admit almost all practical cases.
Besides, taking into accounts our analysis, we compare two image processing
methods for Poisson noise (which is the most significant noise in transmission
imaging) removal. Numerical experiments will be provided to demonstrate our
analysis.
| [
{
"created": "Wed, 8 Jan 2014 01:50:55 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Fan",
"Zhitao",
""
],
[
"Guan",
"Feng",
""
],
[
"Wu",
"Chunlin",
""
],
[
"Yan",
"Ming",
""
]
] | [
-0.053559593856334686,
0.03936278820037842,
0.08487044274806976,
-0.01784205622971058,
-0.02380746230483055,
-0.10214446485042572,
0.021769018843770027,
-0.012364513240754604,
-0.0010176872601732612,
-0.013499932363629341,
-0.010581674054265022,
0.03565141186118126,
-0.02401888743042946,
0.03639248013496399,
-0.03900914266705513,
-0.1384800672531128,
-0.031133664771914482,
0.04493715986609459,
-0.06726806610822678,
0.07803769409656525,
-0.0443342924118042,
0.02301153354346752,
-0.07875131070613861,
0.011858143843710423,
0.06498847901821136,
-0.007738973014056683,
0.02411295473575592,
-0.0823967456817627,
0.015276364982128143,
-0.007040056400001049,
-0.03214650601148605,
0.027165405452251434,
-0.15096671879291534,
-0.036008115857839584,
-0.09391656517982483,
-0.029701370745897293,
0.0014020969392731786,
0.01667797937989235,
0.04023047536611557,
0.000650421716272831,
0.0222589373588562,
-0.006483758799731731,
-0.033161625266075134,
0.009641114622354507,
-0.04128186032176018,
0.028180358931422234,
0.031154263764619827,
-0.07672769576311111,
0.025943422690033913,
-0.019039660692214966,
-0.06248016655445099,
0.027040336281061172,
-0.07161416858434677,
0.08245591074228287,
0.10134952515363693,
-0.011811698786914349,
-0.01433168351650238,
-0.04914896562695503,
0.05620782449841499,
0.024913163855671883,
0.045610878616571426,
0.05309002846479416,
-0.03856292739510536,
0.043431952595710754,
0.049864333122968674,
0.005443887319415808,
-0.04992906376719475,
-0.04689747467637062,
0.013655142858624458,
0.04589026793837547,
-0.03441156819462776,
0.040858831256628036,
0.015921320766210556,
-0.015446198172867298,
0.004981456324458122,
-0.011573122814297676,
0.06153129041194916,
0.0755031630396843,
-0.0052665770053863525,
0.042818766087293625,
0.036439523100852966,
0.0025644185952842236,
-0.00812365673482418,
-0.030510909855365753,
-0.03034021146595478,
0.03166626766324043,
-0.13111814856529236,
0.11711829900741577,
-0.016266878694295883,
0.021707935258746147,
0.04530977085232735,
-0.01898665726184845,
-0.08704610168933868,
-0.03972437605261803,
0.0228826105594635,
-0.11732233315706253,
0.004617613274604082,
-0.06081363931298256,
0.0869145467877388,
0.06316898763179779,
-0.01917233318090439,
-0.05626572668552399,
0.101467065513134,
0.037793152034282684,
0.01541080605238676,
-0.033073388040065765,
-0.0028429862577468157,
0.021043043583631516,
0.00032649366767145693,
0.008620284497737885,
0.051265835762023926,
0.0042840950191020966,
-0.04736112430691719,
-0.008942045271396637,
-0.01443871483206749,
-0.12397941201925278,
-0.08819811791181564,
0.005598466843366623,
0.05106838420033455,
0.01441179122775793,
0.03761382773518562,
-0.011353189125657082,
0.025890499353408813,
0.05954565107822418,
0.050256360322237015,
0.0006070611416362226,
0.03543167561292648,
4.730154370220345e-33,
-0.020313866436481476,
0.07579629868268967,
0.05133938416838646,
-0.005737684667110443,
-0.05690944567322731,
0.04690077528357506,
-0.03767813742160797,
0.05169091373682022,
0.0817650556564331,
0.029393602162599564,
-0.04778206720948219,
0.07581216841936111,
0.03271603211760521,
0.02410813979804516,
0.0931088924407959,
0.068011574447155,
0.06363390386104584,
0.06302415579557419,
-0.014786687679588795,
0.07020755857229233,
0.07455157488584518,
-0.015096268616616726,
-0.033657725900411606,
-0.0067484211176633835,
-0.06314357370138168,
0.006413126830011606,
-0.024737002328038216,
-0.05839468538761139,
-0.05795862898230553,
0.022753600031137466,
-0.02574048563838005,
0.04269767552614212,
0.0775536447763443,
0.033430054783821106,
0.04296450316905975,
-0.02505909651517868,
-0.028635546565055847,
-0.011104011908173561,
-0.11090415716171265,
0.003299642587080598,
0.007031743414700031,
0.05557279661297798,
-0.0010381084866821766,
0.024221910163760185,
0.06526656448841095,
-0.04855097085237503,
-0.033419717103242874,
0.055100150406360626,
-0.02648378722369671,
0.04738517850637436,
0.03739906847476959,
-0.008573313243687153,
-0.08723313361406326,
-0.06088189408183098,
0.06250499188899994,
0.06352247297763824,
-0.06798188388347626,
-0.03251119703054428,
-0.02308192290365696,
0.029262790456414223,
0.00853816606104374,
-0.033617183566093445,
0.01790563575923443,
0.004777883179485798,
-0.043779198080301285,
-0.01989685744047165,
-0.14673009514808655,
-0.06245867535471916,
-0.04693173989653587,
0.04028042405843735,
-0.044009000062942505,
0.024503396824002266,
-0.06068668141961098,
-0.046782027930021286,
0.06495239585638046,
0.03553318232297897,
-0.04615024849772453,
0.010254987515509129,
0.0017865742556750774,
0.07111198455095291,
-0.10719434171915054,
0.035665884613990784,
-0.014779467135667801,
-0.08248825371265411,
-0.0022984123788774014,
0.03863323852419853,
0.06160354241728783,
0.022116510197520256,
-0.08850432932376862,
-0.049618616700172424,
-0.03566605597734451,
0.07818584889173508,
-0.044222086668014526,
-0.0009954109555110335,
-0.004279785789549351,
-5.7285189874469914e-33,
-0.03802837058901787,
0.02524125762283802,
-0.0358445979654789,
-0.0007250491762533784,
-0.030219238251447678,
-0.034327805042266846,
0.03277769684791565,
0.035322222858667374,
-0.08216316252946854,
-0.025837412104010582,
0.05487680062651634,
0.06482701003551483,
-0.09968755394220352,
-0.02976955659687519,
-0.110222227871418,
-0.05180474370718002,
0.0901036337018013,
-0.07522150129079819,
-0.10454411059617996,
-0.012104891240596771,
0.07880958914756775,
0.07954468578100204,
-0.0057812584564089775,
-0.03816850483417511,
-0.048751261085271835,
0.05398685112595558,
-0.007440685294568539,
0.002774500288069248,
-0.01342291571199894,
0.05977851524949074,
-0.03924814611673355,
-0.028317904099822044,
0.009185805916786194,
-0.06415310502052307,
-0.01749088428914547,
0.03862358257174492,
0.06253179907798767,
0.009610018692910671,
0.0008087291498668492,
-0.007746141403913498,
0.022141823545098305,
0.08455347269773483,
0.03988516330718994,
0.06367772817611694,
-0.01727760024368763,
-0.04760490357875824,
0.06209943816065788,
0.04027622938156128,
0.002246676944196224,
-0.0026940007228404284,
-0.049988776445388794,
-0.08668678253889084,
0.04177249222993851,
0.03176586702466011,
0.01728571206331253,
-0.006293724291026592,
-0.043091919273138046,
-0.056900788098573685,
0.055199313908815384,
0.0006405293825082481,
-0.0003717649669852108,
-0.024596400558948517,
0.0018205344676971436,
-0.017123045399785042,
-0.007678056135773659,
-0.0068917530588805676,
0.04241360351443291,
0.007268181070685387,
-0.09297704696655273,
0.12725882232189178,
-0.02108929492533207,
-0.005660207476466894,
-0.010575137101113796,
-0.008123504929244518,
0.03839567303657532,
0.0027928713243454695,
0.07376512885093689,
-0.02388659119606018,
0.0049958485178649426,
0.06685114651918411,
0.041686102747917175,
-0.04159500449895859,
0.01832572929561138,
0.05265730991959572,
0.040705133229494095,
-0.034474048763513565,
-0.09654692560434341,
-0.1530093401670456,
0.02354203537106514,
-0.04208160191774368,
0.02096441388130188,
0.04965992644429207,
0.01075967587530613,
-0.05455401539802551,
0.0927388072013855,
-5.796205471142457e-8,
-0.013801404275000095,
-0.07390974462032318,
-0.06800980865955353,
-0.07004985958337784,
0.006252648308873177,
-0.05096186697483063,
-0.02573418617248535,
-0.05154678225517273,
-0.006001230329275131,
-0.08579381555318832,
0.007747208699584007,
-0.04448476433753967,
-0.016803912818431854,
-0.04706067591905594,
0.005499390885233879,
0.03286018967628479,
0.0385541133582592,
-0.08883767575025558,
-0.020809076726436615,
0.047288984060287476,
-0.0766582116484642,
-0.03028390184044838,
-0.0038918203208595514,
-0.014928396791219711,
0.011354834772646427,
0.023934153839945793,
-0.016488932073116302,
-0.05975846201181412,
0.023599235340952873,
0.02210470475256443,
0.011502210050821304,
-0.0024902825243771076,
0.08351075649261475,
0.06543615460395813,
-0.025963423773646355,
-0.023255730047822,
0.05386441573500633,
0.03426546975970268,
-0.05967957153916359,
-0.021238697692751884,
0.01137069147080183,
0.017910771071910858,
0.061313387006521225,
0.026457689702510834,
0.09064028412103653,
0.06675701588392258,
0.1333693563938141,
0.06504244357347488,
-0.08263662457466125,
0.021559705957770348,
-0.004221231210976839,
0.019546234980225563,
0.014708493836224079,
0.017202608287334442,
-0.00972664449363947,
-0.006048846989870071,
0.14949576556682587,
-0.06796207278966904,
0.027023108676075935,
0.023256851360201836,
0.04981869459152222,
0.058174192905426025,
-0.06587254256010056,
-0.0012665890390053391
] | null | null | null | null | null | null | null | [
-0.053559593856334686,
0.03936278820037842,
0.08487044274806976,
-0.01784205622971058,
-0.02380746230483055,
-0.10214446485042572,
0.021769018843770027,
-0.012364513240754604,
-0.0010176872601732612,
-0.013499932363629341,
-0.010581674054265022,
0.03565141186118126,
-0.02401888743042946,
0.03639248013496399,
-0.03900914266705513,
-0.1384800672531128,
-0.031133664771914482,
0.04493715986609459,
-0.06726806610822678,
0.07803769409656525,
-0.0443342924118042,
0.02301153354346752,
-0.07875131070613861,
0.011858143843710423,
0.06498847901821136,
-0.007738973014056683,
0.02411295473575592,
-0.0823967456817627,
0.015276364982128143,
-0.007040056400001049,
-0.03214650601148605,
0.027165405452251434,
-0.15096671879291534,
-0.036008115857839584,
-0.09391656517982483,
-0.029701370745897293,
0.0014020969392731786,
0.01667797937989235,
0.04023047536611557,
0.000650421716272831,
0.0222589373588562,
-0.006483758799731731,
-0.033161625266075134,
0.009641114622354507,
-0.04128186032176018,
0.028180358931422234,
0.031154263764619827,
-0.07672769576311111,
0.025943422690033913,
-0.019039660692214966,
-0.06248016655445099,
0.027040336281061172,
-0.07161416858434677,
0.08245591074228287,
0.10134952515363693,
-0.011811698786914349,
-0.01433168351650238,
-0.04914896562695503,
0.05620782449841499,
0.024913163855671883,
0.045610878616571426,
0.05309002846479416,
-0.03856292739510536,
0.043431952595710754,
0.049864333122968674,
0.005443887319415808,
-0.04992906376719475,
-0.04689747467637062,
0.013655142858624458,
0.04589026793837547,
-0.03441156819462776,
0.040858831256628036,
0.015921320766210556,
-0.015446198172867298,
0.004981456324458122,
-0.011573122814297676,
0.06153129041194916,
0.0755031630396843,
-0.0052665770053863525,
0.042818766087293625,
0.036439523100852966,
0.0025644185952842236,
-0.00812365673482418,
-0.030510909855365753,
-0.03034021146595478,
0.03166626766324043,
-0.13111814856529236,
0.11711829900741577,
-0.016266878694295883,
0.021707935258746147,
0.04530977085232735,
-0.01898665726184845,
-0.08704610168933868,
-0.03972437605261803,
0.0228826105594635,
-0.11732233315706253,
0.004617613274604082,
-0.06081363931298256,
0.0869145467877388,
0.06316898763179779,
-0.01917233318090439,
-0.05626572668552399,
0.101467065513134,
0.037793152034282684,
0.01541080605238676,
-0.033073388040065765,
-0.0028429862577468157,
0.021043043583631516,
0.00032649366767145693,
0.008620284497737885,
0.051265835762023926,
0.0042840950191020966,
-0.04736112430691719,
-0.008942045271396637,
-0.01443871483206749,
-0.12397941201925278,
-0.08819811791181564,
0.005598466843366623,
0.05106838420033455,
0.01441179122775793,
0.03761382773518562,
-0.011353189125657082,
0.025890499353408813,
0.05954565107822418,
0.050256360322237015,
0.0006070611416362226,
0.03543167561292648,
4.730154370220345e-33,
-0.020313866436481476,
0.07579629868268967,
0.05133938416838646,
-0.005737684667110443,
-0.05690944567322731,
0.04690077528357506,
-0.03767813742160797,
0.05169091373682022,
0.0817650556564331,
0.029393602162599564,
-0.04778206720948219,
0.07581216841936111,
0.03271603211760521,
0.02410813979804516,
0.0931088924407959,
0.068011574447155,
0.06363390386104584,
0.06302415579557419,
-0.014786687679588795,
0.07020755857229233,
0.07455157488584518,
-0.015096268616616726,
-0.033657725900411606,
-0.0067484211176633835,
-0.06314357370138168,
0.006413126830011606,
-0.024737002328038216,
-0.05839468538761139,
-0.05795862898230553,
0.022753600031137466,
-0.02574048563838005,
0.04269767552614212,
0.0775536447763443,
0.033430054783821106,
0.04296450316905975,
-0.02505909651517868,
-0.028635546565055847,
-0.011104011908173561,
-0.11090415716171265,
0.003299642587080598,
0.007031743414700031,
0.05557279661297798,
-0.0010381084866821766,
0.024221910163760185,
0.06526656448841095,
-0.04855097085237503,
-0.033419717103242874,
0.055100150406360626,
-0.02648378722369671,
0.04738517850637436,
0.03739906847476959,
-0.008573313243687153,
-0.08723313361406326,
-0.06088189408183098,
0.06250499188899994,
0.06352247297763824,
-0.06798188388347626,
-0.03251119703054428,
-0.02308192290365696,
0.029262790456414223,
0.00853816606104374,
-0.033617183566093445,
0.01790563575923443,
0.004777883179485798,
-0.043779198080301285,
-0.01989685744047165,
-0.14673009514808655,
-0.06245867535471916,
-0.04693173989653587,
0.04028042405843735,
-0.044009000062942505,
0.024503396824002266,
-0.06068668141961098,
-0.046782027930021286,
0.06495239585638046,
0.03553318232297897,
-0.04615024849772453,
0.010254987515509129,
0.0017865742556750774,
0.07111198455095291,
-0.10719434171915054,
0.035665884613990784,
-0.014779467135667801,
-0.08248825371265411,
-0.0022984123788774014,
0.03863323852419853,
0.06160354241728783,
0.022116510197520256,
-0.08850432932376862,
-0.049618616700172424,
-0.03566605597734451,
0.07818584889173508,
-0.044222086668014526,
-0.0009954109555110335,
-0.004279785789549351,
-5.7285189874469914e-33,
-0.03802837058901787,
0.02524125762283802,
-0.0358445979654789,
-0.0007250491762533784,
-0.030219238251447678,
-0.034327805042266846,
0.03277769684791565,
0.035322222858667374,
-0.08216316252946854,
-0.025837412104010582,
0.05487680062651634,
0.06482701003551483,
-0.09968755394220352,
-0.02976955659687519,
-0.110222227871418,
-0.05180474370718002,
0.0901036337018013,
-0.07522150129079819,
-0.10454411059617996,
-0.012104891240596771,
0.07880958914756775,
0.07954468578100204,
-0.0057812584564089775,
-0.03816850483417511,
-0.048751261085271835,
0.05398685112595558,
-0.007440685294568539,
0.002774500288069248,
-0.01342291571199894,
0.05977851524949074,
-0.03924814611673355,
-0.028317904099822044,
0.009185805916786194,
-0.06415310502052307,
-0.01749088428914547,
0.03862358257174492,
0.06253179907798767,
0.009610018692910671,
0.0008087291498668492,
-0.007746141403913498,
0.022141823545098305,
0.08455347269773483,
0.03988516330718994,
0.06367772817611694,
-0.01727760024368763,
-0.04760490357875824,
0.06209943816065788,
0.04027622938156128,
0.002246676944196224,
-0.0026940007228404284,
-0.049988776445388794,
-0.08668678253889084,
0.04177249222993851,
0.03176586702466011,
0.01728571206331253,
-0.006293724291026592,
-0.043091919273138046,
-0.056900788098573685,
0.055199313908815384,
0.0006405293825082481,
-0.0003717649669852108,
-0.024596400558948517,
0.0018205344676971436,
-0.017123045399785042,
-0.007678056135773659,
-0.0068917530588805676,
0.04241360351443291,
0.007268181070685387,
-0.09297704696655273,
0.12725882232189178,
-0.02108929492533207,
-0.005660207476466894,
-0.010575137101113796,
-0.008123504929244518,
0.03839567303657532,
0.0027928713243454695,
0.07376512885093689,
-0.02388659119606018,
0.0049958485178649426,
0.06685114651918411,
0.041686102747917175,
-0.04159500449895859,
0.01832572929561138,
0.05265730991959572,
0.040705133229494095,
-0.034474048763513565,
-0.09654692560434341,
-0.1530093401670456,
0.02354203537106514,
-0.04208160191774368,
0.02096441388130188,
0.04965992644429207,
0.01075967587530613,
-0.05455401539802551,
0.0927388072013855,
-5.796205471142457e-8,
-0.013801404275000095,
-0.07390974462032318,
-0.06800980865955353,
-0.07004985958337784,
0.006252648308873177,
-0.05096186697483063,
-0.02573418617248535,
-0.05154678225517273,
-0.006001230329275131,
-0.08579381555318832,
0.007747208699584007,
-0.04448476433753967,
-0.016803912818431854,
-0.04706067591905594,
0.005499390885233879,
0.03286018967628479,
0.0385541133582592,
-0.08883767575025558,
-0.020809076726436615,
0.047288984060287476,
-0.0766582116484642,
-0.03028390184044838,
-0.0038918203208595514,
-0.014928396791219711,
0.011354834772646427,
0.023934153839945793,
-0.016488932073116302,
-0.05975846201181412,
0.023599235340952873,
0.02210470475256443,
0.011502210050821304,
-0.0024902825243771076,
0.08351075649261475,
0.06543615460395813,
-0.025963423773646355,
-0.023255730047822,
0.05386441573500633,
0.03426546975970268,
-0.05967957153916359,
-0.021238697692751884,
0.01137069147080183,
0.017910771071910858,
0.061313387006521225,
0.026457689702510834,
0.09064028412103653,
0.06675701588392258,
0.1333693563938141,
0.06504244357347488,
-0.08263662457466125,
0.021559705957770348,
-0.004221231210976839,
0.019546234980225563,
0.014708493836224079,
0.017202608287334442,
-0.00972664449363947,
-0.006048846989870071,
0.14949576556682587,
-0.06796207278966904,
0.027023108676075935,
0.023256851360201836,
0.04981869459152222,
0.058174192905426025,
-0.06587254256010056,
-0.0012665890390053391
] |
1401.1559 | Renato Paes Leme | Moshe Babaioff and Noam Nisan and Renato Paes Leme | Price Competition in Online Combinatorial Markets | accept to WWW'14 (23rd International World Wide Web Conference) | null | null | null | cs.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a single buyer with a combinatorial preference that would like to
purchase related products and services from different vendors, where each
vendor supplies exactly one product. We study the general case where subsets of
products can be substitutes as well as complementary and analyze the game that
is induced on the vendors, where a vendor's strategy is the price that he asks
for his product. This model generalizes both Bertrand competition (where
vendors are perfect substitutes) and Nash bargaining (where they are perfect
complements), and captures a wide variety of scenarios that can appear in
complex crowd sourcing or in automatic pricing of related products.
We study the equilibria of such games and show that a pure efficient
equilibrium always exists. In the case of submodular buyer preferences we fully
characterize the set of pure Nash equilibria, essentially showing uniqueness.
For the even more restricted "substitutes" buyer preferences we also prove
uniqueness over {\em mixed} equilibria. Finally we begin the exploration of
natural generalizations of our setting such as when services have costs, when
there are multiple buyers or uncertainty about the the buyer's valuation, and
when a single vendor supplies multiple products.
| [
{
"created": "Wed, 8 Jan 2014 01:59:03 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Babaioff",
"Moshe",
""
],
[
"Nisan",
"Noam",
""
],
[
"Leme",
"Renato Paes",
""
]
] | [
-0.038328591734170914,
-0.007025555707514286,
-0.013653306290507317,
-0.07252918183803558,
0.020253419876098633,
0.027680780738592148,
0.07399149239063263,
0.07012038677930832,
0.04356314241886139,
0.0005216727149672806,
-0.047724977135658264,
-0.048512134701013565,
0.09904072433710098,
-0.007423576433211565,
0.07878304272890091,
-0.019350718706846237,
0.09240799397230148,
0.06909164041280746,
0.0003590192645788193,
0.02099689655005932,
-0.0670003890991211,
-0.09090659022331238,
-0.01176686305552721,
-0.011697251349687576,
-0.04932181537151337,
-0.07178186625242233,
0.006806215271353722,
0.028192834928631783,
0.012195475399494171,
-0.02803000621497631,
-0.03214624524116516,
0.05680251121520996,
0.045459140092134476,
0.044648751616477966,
0.005190465599298477,
-0.01604650542140007,
-0.0979747474193573,
-0.03159365803003311,
-0.044667668640613556,
0.05862397700548172,
0.04487236216664314,
-0.02183196321129799,
-0.08705202490091324,
0.025342652574181557,
0.009919333271682262,
-0.013233345001935959,
0.029735097661614418,
0.05912230163812637,
-0.01211195345968008,
-0.02403765171766281,
0.030995728448033333,
0.003983507864177227,
-0.05953552946448326,
0.004158914554864168,
0.008263898082077503,
-0.02192836068570614,
-0.0108578996732831,
-0.07502150535583496,
0.011678071692585945,
-0.05040399730205536,
0.01030548382550478,
-0.027905579656362534,
-0.06436443328857422,
-0.00726744532585144,
0.06353332847356796,
0.006549394689500332,
0.011203077621757984,
0.08973614871501923,
-0.08413031697273254,
0.09473584592342377,
0.03898343816399574,
0.01102498546242714,
-0.03456886112689972,
-0.0034554237499833107,
0.047471608966588974,
-0.02121950127184391,
0.006911565084010363,
-0.036623332649469376,
-0.016178511083126068,
0.007919254712760448,
-0.05851287394762039,
-0.02481331303715706,
-0.0957924872636795,
-0.03401509299874306,
0.03147006034851074,
-0.08667422086000443,
0.00351293315179646,
0.008149120956659317,
0.11679261177778244,
-0.046746354550123215,
-0.15344151854515076,
0.04012693837285042,
-0.009887832216918468,
-0.011544335633516312,
0.030099263414740562,
0.05586279556155205,
0.05854804813861847,
-0.032967712730169296,
0.1304846853017807,
0.1077602207660675,
0.020491022616624832,
0.03714560717344284,
0.020865503698587418,
-0.012680858373641968,
0.012966705486178398,
-0.01860393024981022,
-0.08745042979717255,
0.029274679720401764,
0.0474054180085659,
0.029811065644025803,
-0.01829146035015583,
-0.015514963306486607,
0.03298983722925186,
-0.0033124361652880907,
0.006251243874430656,
0.015112663619220257,
0.0679791197180748,
0.03644448518753052,
-0.024976450949907303,
0.01402344275265932,
0.012056197039783001,
-0.007150935009121895,
0.05349229648709297,
-0.015363563783466816,
0.02613799273967743,
0.09371314942836761,
-0.0252362247556448,
2.2100805407725766e-33,
0.0036016632802784443,
-0.03840356320142746,
0.038683753460645676,
0.03437222167849541,
-0.012318139895796776,
0.05546838045120239,
-0.005197922699153423,
0.008737824857234955,
-0.0937197282910347,
0.03957504406571388,
-0.014552183449268341,
0.11790351569652557,
-0.01982974447309971,
0.10855013132095337,
0.052018966525793076,
0.00832945667207241,
-0.03158087655901909,
-0.024029795080423355,
0.08116202801465988,
-0.056008122861385345,
-0.023456204682588577,
0.05099385231733322,
-0.04771833121776581,
0.04814606532454491,
-0.026587076485157013,
-0.02888152189552784,
0.00895092636346817,
-0.011689333245158195,
0.0928645133972168,
-0.03571917489171028,
-0.04265351593494415,
0.029790664091706276,
0.043086111545562744,
0.06971294432878494,
-0.060907118022441864,
0.03961360082030296,
-0.0376388244330883,
-0.02277841605246067,
-0.05666281282901764,
-0.04371209442615509,
-0.08796659857034683,
-0.0047632912173867226,
-0.012793222442269325,
0.022944241762161255,
-0.00233279331587255,
-0.03974027559161186,
-0.055035125464200974,
0.018075866624712944,
-0.06963512301445007,
-0.09168655425310135,
-0.019007181748747826,
0.04595338925719261,
0.04229246452450752,
-0.06093096733093262,
-0.04404792562127113,
-0.13080477714538574,
-0.06738241016864777,
-0.020252639427781105,
-0.007815640419721603,
0.0009131589904427528,
0.005351002793759108,
-0.008542682975530624,
0.07656600326299667,
-0.007586467545479536,
-0.07827667891979218,
0.08494854718446732,
-0.03168145939707756,
-0.042390186339616776,
0.018830198794603348,
-0.044437818229198456,
-0.03761383146047592,
0.05135509744286537,
-0.027971390634775162,
-0.02006394788622856,
-0.01437775045633316,
0.022038234397768974,
0.030883628875017166,
0.046996887773275375,
0.04875867813825607,
-0.011440970934927464,
-0.013377333991229534,
0.015476986765861511,
0.0636657327413559,
0.013974862173199654,
-0.09655255824327469,
-0.07860117405653,
0.01292414590716362,
-0.0899445191025734,
-0.022327348589897156,
-0.035508714616298676,
-0.06041167676448822,
0.0214978139847517,
-0.053893089294433594,
0.03395497426390648,
0.10990633070468903,
-4.3522707726553966e-33,
-0.02237153798341751,
-0.06706521660089493,
-0.021298006176948547,
0.05203014984726906,
0.020513460040092468,
0.0065926131792366505,
-0.025348994880914688,
-0.08092370629310608,
-0.026567768305540085,
0.021640900522470474,
-0.08488801121711731,
0.08656433969736099,
0.10162393003702164,
-0.05136185511946678,
-0.08958731591701508,
-0.06715413182973862,
0.052251677960157394,
0.02040761709213257,
0.036761485040187836,
0.005198336206376553,
0.048637110739946365,
0.09282704442739487,
-0.011220771819353104,
-0.026232706382870674,
-0.02155301906168461,
0.03189471736550331,
-0.0785103514790535,
0.03020547330379486,
-0.06823589652776718,
0.0067910184152424335,
0.02622082270681858,
-0.11269966512918472,
-0.059162966907024384,
-0.09555190801620483,
0.055561620742082596,
0.0696101114153862,
0.021899530664086342,
0.08990592509508133,
-0.032185450196266174,
0.02603641338646412,
-0.07357098162174225,
-0.13993562757968903,
0.014576083049178123,
0.05611765757203102,
0.062036335468292236,
-0.0722263976931572,
-0.01012867596000433,
-0.1407892256975174,
0.09160159528255463,
-0.05044006556272507,
0.016415908932685852,
0.10937570780515671,
-0.03060801886022091,
-0.01495639979839325,
-0.04302768409252167,
-0.017035404220223427,
-0.04551449790596962,
-0.006117688491940498,
0.08909425139427185,
0.003966968506574631,
0.02881881594657898,
0.04174162819981575,
-0.0720062330365181,
0.10100293904542923,
-0.03257068246603012,
-0.026324523612856865,
0.04711700975894928,
-0.04501495510339737,
0.01678992621600628,
-0.03408229351043701,
0.02327634207904339,
-0.015988457947969437,
-0.03781204670667648,
-0.0572117455303669,
0.03927434980869293,
0.11433076113462448,
-0.016159361228346825,
0.07848486304283142,
-0.01131154503673315,
0.017307573929429054,
-0.014514639973640442,
-0.03455570340156555,
0.09026727080345154,
0.035372477024793625,
-0.0850147008895874,
-0.0872068926692009,
0.05347484350204468,
0.04530440270900726,
-0.033300790935754776,
-0.03512945771217346,
-0.02201778069138527,
0.00013012283307034522,
0.004630958661437035,
-0.0092391986399889,
0.0335809700191021,
-5.335110131454712e-8,
0.0047959228977561,
0.009068368934094906,
0.028020504862070084,
0.043567363172769547,
-0.03706561401486397,
-0.06811709702014923,
-0.05285665765404701,
-0.0054694535210728645,
-0.06168409436941147,
0.09704794734716415,
0.014663608744740486,
0.03973967954516411,
0.012216865085065365,
0.02325424924492836,
-0.02448476478457451,
0.06447550654411316,
-0.004691465757787228,
0.005138966254889965,
-0.05479413643479347,
0.04454763978719711,
-0.0456228107213974,
0.09642518311738968,
0.033929187804460526,
-0.1143777072429657,
-0.014622218906879425,
-0.01598534733057022,
0.015411811880767345,
0.012238811701536179,
0.05431875213980675,
0.06103459373116493,
-0.003081798553466797,
0.01791268400847912,
-0.03852749243378639,
-0.04130438715219498,
0.017126495018601418,
0.01623143069446087,
-0.04311129450798035,
0.06646691262722015,
-0.018898414447903633,
-0.039072394371032715,
-0.00015816428640391678,
-0.017013242468237877,
-0.10241959244012833,
0.004672943148761988,
0.08251328021287918,
-0.009867040440440178,
-0.017611198127269745,
-0.01994301937520504,
0.008658968843519688,
0.06125980243086815,
0.05175049602985382,
0.014582283794879913,
0.032121215015649796,
-0.060034770518541336,
0.07552456110715866,
-0.07735958695411682,
-0.015195777639746666,
0.004509328864514828,
0.07177550345659256,
0.017438707873225212,
-0.018376624211668968,
-0.0421907901763916,
-0.029291950166225433,
0.01921413466334343
] | null | null | null | null | null | null | null | [
-0.038328591734170914,
-0.007025555707514286,
-0.013653306290507317,
-0.07252918183803558,
0.020253419876098633,
0.027680780738592148,
0.07399149239063263,
0.07012038677930832,
0.04356314241886139,
0.0005216727149672806,
-0.047724977135658264,
-0.048512134701013565,
0.09904072433710098,
-0.007423576433211565,
0.07878304272890091,
-0.019350718706846237,
0.09240799397230148,
0.06909164041280746,
0.0003590192645788193,
0.02099689655005932,
-0.0670003890991211,
-0.09090659022331238,
-0.01176686305552721,
-0.011697251349687576,
-0.04932181537151337,
-0.07178186625242233,
0.006806215271353722,
0.028192834928631783,
0.012195475399494171,
-0.02803000621497631,
-0.03214624524116516,
0.05680251121520996,
0.045459140092134476,
0.044648751616477966,
0.005190465599298477,
-0.01604650542140007,
-0.0979747474193573,
-0.03159365803003311,
-0.044667668640613556,
0.05862397700548172,
0.04487236216664314,
-0.02183196321129799,
-0.08705202490091324,
0.025342652574181557,
0.009919333271682262,
-0.013233345001935959,
0.029735097661614418,
0.05912230163812637,
-0.01211195345968008,
-0.02403765171766281,
0.030995728448033333,
0.003983507864177227,
-0.05953552946448326,
0.004158914554864168,
0.008263898082077503,
-0.02192836068570614,
-0.0108578996732831,
-0.07502150535583496,
0.011678071692585945,
-0.05040399730205536,
0.01030548382550478,
-0.027905579656362534,
-0.06436443328857422,
-0.00726744532585144,
0.06353332847356796,
0.006549394689500332,
0.011203077621757984,
0.08973614871501923,
-0.08413031697273254,
0.09473584592342377,
0.03898343816399574,
0.01102498546242714,
-0.03456886112689972,
-0.0034554237499833107,
0.047471608966588974,
-0.02121950127184391,
0.006911565084010363,
-0.036623332649469376,
-0.016178511083126068,
0.007919254712760448,
-0.05851287394762039,
-0.02481331303715706,
-0.0957924872636795,
-0.03401509299874306,
0.03147006034851074,
-0.08667422086000443,
0.00351293315179646,
0.008149120956659317,
0.11679261177778244,
-0.046746354550123215,
-0.15344151854515076,
0.04012693837285042,
-0.009887832216918468,
-0.011544335633516312,
0.030099263414740562,
0.05586279556155205,
0.05854804813861847,
-0.032967712730169296,
0.1304846853017807,
0.1077602207660675,
0.020491022616624832,
0.03714560717344284,
0.020865503698587418,
-0.012680858373641968,
0.012966705486178398,
-0.01860393024981022,
-0.08745042979717255,
0.029274679720401764,
0.0474054180085659,
0.029811065644025803,
-0.01829146035015583,
-0.015514963306486607,
0.03298983722925186,
-0.0033124361652880907,
0.006251243874430656,
0.015112663619220257,
0.0679791197180748,
0.03644448518753052,
-0.024976450949907303,
0.01402344275265932,
0.012056197039783001,
-0.007150935009121895,
0.05349229648709297,
-0.015363563783466816,
0.02613799273967743,
0.09371314942836761,
-0.0252362247556448,
2.2100805407725766e-33,
0.0036016632802784443,
-0.03840356320142746,
0.038683753460645676,
0.03437222167849541,
-0.012318139895796776,
0.05546838045120239,
-0.005197922699153423,
0.008737824857234955,
-0.0937197282910347,
0.03957504406571388,
-0.014552183449268341,
0.11790351569652557,
-0.01982974447309971,
0.10855013132095337,
0.052018966525793076,
0.00832945667207241,
-0.03158087655901909,
-0.024029795080423355,
0.08116202801465988,
-0.056008122861385345,
-0.023456204682588577,
0.05099385231733322,
-0.04771833121776581,
0.04814606532454491,
-0.026587076485157013,
-0.02888152189552784,
0.00895092636346817,
-0.011689333245158195,
0.0928645133972168,
-0.03571917489171028,
-0.04265351593494415,
0.029790664091706276,
0.043086111545562744,
0.06971294432878494,
-0.060907118022441864,
0.03961360082030296,
-0.0376388244330883,
-0.02277841605246067,
-0.05666281282901764,
-0.04371209442615509,
-0.08796659857034683,
-0.0047632912173867226,
-0.012793222442269325,
0.022944241762161255,
-0.00233279331587255,
-0.03974027559161186,
-0.055035125464200974,
0.018075866624712944,
-0.06963512301445007,
-0.09168655425310135,
-0.019007181748747826,
0.04595338925719261,
0.04229246452450752,
-0.06093096733093262,
-0.04404792562127113,
-0.13080477714538574,
-0.06738241016864777,
-0.020252639427781105,
-0.007815640419721603,
0.0009131589904427528,
0.005351002793759108,
-0.008542682975530624,
0.07656600326299667,
-0.007586467545479536,
-0.07827667891979218,
0.08494854718446732,
-0.03168145939707756,
-0.042390186339616776,
0.018830198794603348,
-0.044437818229198456,
-0.03761383146047592,
0.05135509744286537,
-0.027971390634775162,
-0.02006394788622856,
-0.01437775045633316,
0.022038234397768974,
0.030883628875017166,
0.046996887773275375,
0.04875867813825607,
-0.011440970934927464,
-0.013377333991229534,
0.015476986765861511,
0.0636657327413559,
0.013974862173199654,
-0.09655255824327469,
-0.07860117405653,
0.01292414590716362,
-0.0899445191025734,
-0.022327348589897156,
-0.035508714616298676,
-0.06041167676448822,
0.0214978139847517,
-0.053893089294433594,
0.03395497426390648,
0.10990633070468903,
-4.3522707726553966e-33,
-0.02237153798341751,
-0.06706521660089493,
-0.021298006176948547,
0.05203014984726906,
0.020513460040092468,
0.0065926131792366505,
-0.025348994880914688,
-0.08092370629310608,
-0.026567768305540085,
0.021640900522470474,
-0.08488801121711731,
0.08656433969736099,
0.10162393003702164,
-0.05136185511946678,
-0.08958731591701508,
-0.06715413182973862,
0.052251677960157394,
0.02040761709213257,
0.036761485040187836,
0.005198336206376553,
0.048637110739946365,
0.09282704442739487,
-0.011220771819353104,
-0.026232706382870674,
-0.02155301906168461,
0.03189471736550331,
-0.0785103514790535,
0.03020547330379486,
-0.06823589652776718,
0.0067910184152424335,
0.02622082270681858,
-0.11269966512918472,
-0.059162966907024384,
-0.09555190801620483,
0.055561620742082596,
0.0696101114153862,
0.021899530664086342,
0.08990592509508133,
-0.032185450196266174,
0.02603641338646412,
-0.07357098162174225,
-0.13993562757968903,
0.014576083049178123,
0.05611765757203102,
0.062036335468292236,
-0.0722263976931572,
-0.01012867596000433,
-0.1407892256975174,
0.09160159528255463,
-0.05044006556272507,
0.016415908932685852,
0.10937570780515671,
-0.03060801886022091,
-0.01495639979839325,
-0.04302768409252167,
-0.017035404220223427,
-0.04551449790596962,
-0.006117688491940498,
0.08909425139427185,
0.003966968506574631,
0.02881881594657898,
0.04174162819981575,
-0.0720062330365181,
0.10100293904542923,
-0.03257068246603012,
-0.026324523612856865,
0.04711700975894928,
-0.04501495510339737,
0.01678992621600628,
-0.03408229351043701,
0.02327634207904339,
-0.015988457947969437,
-0.03781204670667648,
-0.0572117455303669,
0.03927434980869293,
0.11433076113462448,
-0.016159361228346825,
0.07848486304283142,
-0.01131154503673315,
0.017307573929429054,
-0.014514639973640442,
-0.03455570340156555,
0.09026727080345154,
0.035372477024793625,
-0.0850147008895874,
-0.0872068926692009,
0.05347484350204468,
0.04530440270900726,
-0.033300790935754776,
-0.03512945771217346,
-0.02201778069138527,
0.00013012283307034522,
0.004630958661437035,
-0.0092391986399889,
0.0335809700191021,
-5.335110131454712e-8,
0.0047959228977561,
0.009068368934094906,
0.028020504862070084,
0.043567363172769547,
-0.03706561401486397,
-0.06811709702014923,
-0.05285665765404701,
-0.0054694535210728645,
-0.06168409436941147,
0.09704794734716415,
0.014663608744740486,
0.03973967954516411,
0.012216865085065365,
0.02325424924492836,
-0.02448476478457451,
0.06447550654411316,
-0.004691465757787228,
0.005138966254889965,
-0.05479413643479347,
0.04454763978719711,
-0.0456228107213974,
0.09642518311738968,
0.033929187804460526,
-0.1143777072429657,
-0.014622218906879425,
-0.01598534733057022,
0.015411811880767345,
0.012238811701536179,
0.05431875213980675,
0.06103459373116493,
-0.003081798553466797,
0.01791268400847912,
-0.03852749243378639,
-0.04130438715219498,
0.017126495018601418,
0.01623143069446087,
-0.04311129450798035,
0.06646691262722015,
-0.018898414447903633,
-0.039072394371032715,
-0.00015816428640391678,
-0.017013242468237877,
-0.10241959244012833,
0.004672943148761988,
0.08251328021287918,
-0.009867040440440178,
-0.017611198127269745,
-0.01994301937520504,
0.008658968843519688,
0.06125980243086815,
0.05175049602985382,
0.014582283794879913,
0.032121215015649796,
-0.060034770518541336,
0.07552456110715866,
-0.07735958695411682,
-0.015195777639746666,
0.004509328864514828,
0.07177550345659256,
0.017438707873225212,
-0.018376624211668968,
-0.0421907901763916,
-0.029291950166225433,
0.01921413466334343
] |
1401.1560 | Tao Xiong | Tao Xiong, Yukun Bao, Zhongyi Hu | Beyond One-Step-Ahead Forecasting: Evaluation of Alternative
Multi-Step-Ahead Forecasting Models for Crude Oil Prices | 32 pages | Energy Economics. 40, 2013: 405-415 | 10.1016/j.eneco.2013.07.028 | null | cs.LG cs.AI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An accurate prediction of crude oil prices over long future horizons is
challenging and of great interest to governments, enterprises, and investors.
This paper proposes a revised hybrid model built upon empirical mode
decomposition (EMD) based on the feed-forward neural network (FNN) modeling
framework incorporating the slope-based method (SBM), which is capable of
capturing the complex dynamic of crude oil prices. Three commonly used
multi-step-ahead prediction strategies proposed in the literature, including
iterated strategy, direct strategy, and MIMO (multiple-input multiple-output)
strategy, are examined and compared, and practical considerations for the
selection of a prediction strategy for multi-step-ahead forecasting relating to
crude oil prices are identified. The weekly data from the WTI (West Texas
Intermediate) crude oil spot price are used to compare the performance of the
alternative models under the EMD-SBM-FNN modeling framework with selected
counterparts. The quantitative and comprehensive assessments are performed on
the basis of prediction accuracy and computational cost. The results obtained
in this study indicate that the proposed EMD-SBM-FNN model using the MIMO
strategy is the best in terms of prediction accuracy with accredited
computational load.
| [
{
"created": "Wed, 8 Jan 2014 01:59:53 GMT",
"version": "v1"
}
] | 2014-01-10 | [
[
"Xiong",
"Tao",
""
],
[
"Bao",
"Yukun",
""
],
[
"Hu",
"Zhongyi",
""
]
] | [
-0.03043181076645851,
-0.06820417195558548,
0.08204179257154465,
0.10010094195604324,
0.05283656343817711,
-0.004071652889251709,
-0.10241411626338959,
0.04928203299641609,
0.03636714816093445,
-0.10110235959291458,
-0.10246119648218155,
0.023630928248167038,
-0.034559208899736404,
-0.009911960922181606,
-0.08414830267429352,
-0.01711399294435978,
-0.08918322622776031,
0.02008841559290886,
0.022663142532110214,
-0.040531568229198456,
0.051371943205595016,
0.033290375024080276,
-0.006943696178495884,
-0.029939450323581696,
0.05951862409710884,
0.08145781606435776,
-0.024371450766921043,
0.059718359261751175,
-0.032102059572935104,
0.0319051519036293,
0.06816363334655762,
-0.04529411345720291,
0.030463872477412224,
0.029840460047125816,
-0.0919010192155838,
-0.027804536744952202,
-0.04225976765155792,
0.021366409957408905,
0.0471578910946846,
0.05884043499827385,
-0.006897253915667534,
-0.08827507495880127,
-0.0253521166741848,
-0.04350893199443817,
0.09554237127304077,
-0.012559370137751102,
0.03655366972088814,
-0.07932433485984802,
0.024477891623973846,
0.0779668390750885,
0.029843777418136597,
0.026142509654164314,
-0.08666851371526718,
0.021162422373890877,
0.026596898213028908,
-0.05622382462024689,
-0.027736594900488853,
0.01550032664090395,
-0.03985914960503578,
0.01833721436560154,
-0.04556043818593025,
-0.007533438969403505,
-0.04477574676275253,
-0.013538241386413574,
0.008068587630987167,
0.031072968617081642,
-0.07638433575630188,
0.009204412810504436,
-0.04574548080563545,
-0.044908374547958374,
-0.020815251395106316,
0.02386418730020523,
-0.07845810055732727,
-0.05479901656508446,
-0.031716376543045044,
-0.004722070414572954,
0.11563587933778763,
0.022699443623423576,
-0.015625933185219765,
-0.036496661603450775,
0.020359860733151436,
0.08632364124059677,
-0.01701243594288826,
-0.08650202304124832,
0.048377010971307755,
-0.019451459869742393,
0.0035716486163437366,
0.04429663345217705,
0.033779725432395935,
-0.020760994404554367,
-0.010925192385911942,
0.04627799987792969,
-0.05099768564105034,
0.03125500679016113,
0.06589516252279282,
0.09444689750671387,
-0.023006418719887733,
-0.03797052055597305,
-0.03470449894666672,
0.0440201498568058,
0.04442252591252327,
0.03419173136353493,
-0.0162701103836298,
-0.040302302688360214,
0.06343283504247665,
-0.043703433126211166,
0.06070738285779953,
0.05231857672333717,
-0.012632356025278568,
-0.14465509355068207,
-0.05751204863190651,
-0.02497018314898014,
0.015598003752529621,
-0.07491874694824219,
-0.04152301326394081,
-0.02321995235979557,
-0.11464806646108627,
-0.026517145335674286,
0.09162645787000656,
0.06583326309919357,
-0.02774733677506447,
-0.039810437709093094,
0.09151837229728699,
0.08349793404340744,
0.06688199192285538,
0.0013638396048918366,
-0.014060250483453274,
-1.295046144103871e-34,
-0.08292723447084427,
-0.06703558564186096,
0.0013112213928252459,
-0.01742715761065483,
-0.0060357279144227505,
0.08935650438070297,
0.009888587519526482,
0.012826397083699703,
0.03260015696287155,
0.045967597514390945,
-0.01570362038910389,
0.036732565611600876,
-0.0629577711224556,
0.0280716922134161,
-0.0032966160215437412,
-0.03166166692972183,
0.047900013625621796,
-0.03505479544401169,
0.10033353418111801,
-0.07654281705617905,
0.023005083203315735,
-0.03322707116603851,
0.019281966611742973,
-0.051823895424604416,
-0.014921966008841991,
0.061172232031822205,
0.09073833376169205,
0.04010500758886337,
-0.0972980186343193,
0.026625582948327065,
-0.021580589935183525,
-0.015667777508497238,
-0.07021623104810715,
-0.0655488520860672,
-0.006551794707775116,
-0.021842431277036667,
-0.010367863811552525,
0.0041807591915130615,
-0.003152863122522831,
-0.010509411804378033,
-0.07835037261247635,
0.02607780694961548,
-0.01718076504766941,
-0.03835850954055786,
-0.057826798409223557,
0.04948015511035919,
0.048238713294267654,
-0.02943359687924385,
-0.012809661217033863,
0.03562778979539871,
0.005879417527467012,
-0.04135310649871826,
0.0028513120487332344,
-0.07701104879379272,
0.006312679499387741,
-0.00554285803809762,
0.009424710646271706,
0.015615020878612995,
-0.004346380475908518,
-0.0009260224760510027,
-0.12533949315547943,
0.04463294893503189,
-0.05038996413350105,
0.051583461463451385,
-0.06052602455019951,
0.047678735107183456,
-0.02554365247488022,
0.07179941236972809,
0.02902504801750183,
0.044579774141311646,
0.0840723067522049,
0.0019541620276868343,
0.016634300351142883,
-0.027694422751665115,
0.008490580134093761,
-0.04301251098513603,
0.03725060075521469,
-0.004790663719177246,
-0.0036033284850418568,
0.06980684399604797,
0.006266363896429539,
0.05188627541065216,
0.04344300180673599,
-0.0711117684841156,
-0.05447138100862503,
0.08569245040416718,
0.06185830757021904,
0.004007011651992798,
0.07819885015487671,
-0.06740478426218033,
-0.1328580677509308,
0.02400834672152996,
0.015475885011255741,
0.007798038888722658,
0.02660178393125534,
-2.120797749983541e-34,
-0.010885702446103096,
0.1097126454114914,
-0.012771384790539742,
-0.02716490440070629,
-0.0059242453426122665,
-0.01872165873646736,
-0.01878851093351841,
0.0314120315015316,
0.05919373780488968,
0.029147904366254807,
0.016063934192061424,
-0.09469763934612274,
-0.03490854427218437,
-0.05245313420891762,
0.0427897609770298,
0.03563031926751137,
-0.05718867480754852,
-0.05784895643591881,
0.04408987611532211,
-0.012559009715914726,
-0.07716834545135498,
0.021647877991199493,
-0.053022321313619614,
0.06811864674091339,
-0.06740723550319672,
-0.01625993847846985,
0.0032165206503123045,
0.06689181923866272,
-0.07751146703958511,
-0.037855859845876694,
-0.030622534453868866,
-0.047824740409851074,
0.04266772046685219,
0.05535466969013214,
-0.05714907869696617,
0.10341257601976395,
0.001431322074495256,
-0.03203980624675751,
0.018997572362422943,
0.030530516058206558,
0.08082214742898941,
0.023741936311125755,
0.033999551087617874,
-0.0650777518749237,
0.008931971155107021,
0.019935838878154755,
0.026625942438840866,
0.04412473365664482,
0.06523662805557251,
0.026158329099416733,
-0.010224617086350918,
0.03615757077932358,
-0.11583974212408066,
-0.028465989977121353,
-0.06551647186279297,
0.0072501543909311295,
0.03196839615702629,
-0.00656499620527029,
-0.048535268753767014,
-0.02244536206126213,
0.06295419484376907,
-0.03953094780445099,
0.13284309208393097,
0.0245701614767313,
0.012339120730757713,
0.020003782585263252,
0.031051183119416237,
-0.03532470390200615,
0.09987916052341461,
0.046735938638448715,
-0.06236320361495018,
-0.01635085605084896,
0.04474674537777901,
0.016092495992779732,
0.00533021567389369,
-0.033310167491436005,
0.012439697049558163,
-0.018643613904714584,
-0.03474165499210358,
0.04531139135360718,
0.036084797233343124,
-0.02279358170926571,
-0.05368294566869736,
0.021656351163983345,
0.03238115832209587,
0.06974637508392334,
-0.029546024277806282,
0.020554207265377045,
0.06843329966068268,
-0.013166612945497036,
-0.012454800307750702,
0.09368324279785156,
-0.017417598515748978,
0.051916446536779404,
-0.003307642415165901,
-4.260969532765557e-8,
-0.043460700660943985,
-0.027316192165017128,
0.002903164364397526,
0.05657600983977318,
0.06869382411241531,
-0.01493682898581028,
0.04007492959499359,
-0.024299152195453644,
0.04847041890025139,
-0.06706838309764862,
0.1036427915096283,
-0.04537186771631241,
-0.11097215861082077,
-0.004314204677939415,
-0.002628130605444312,
-0.07990920543670654,
0.04752383008599281,
0.031416088342666626,
0.04772425815463066,
0.04206997528672218,
0.05325652286410332,
0.022280609235167503,
-0.005148714408278465,
-0.01063671987503767,
0.10634096711874008,
-0.08310643583536148,
-0.042116545140743256,
0.08184488862752914,
0.03976529464125633,
0.10929454863071442,
0.02213711105287075,
0.025643562898039818,
-0.05667763575911522,
0.030742524191737175,
0.043469443917274475,
0.06482764333486557,
0.0435819998383522,
0.043603114783763885,
-0.06072474271059036,
0.04801114648580551,
-0.032645415514707565,
0.05631071701645851,
-0.03942561149597168,
-0.025165095925331116,
-0.011159817688167095,
-0.015535656362771988,
0.008928729221224785,
-0.07567088305950165,
0.08136337250471115,
-0.05097944289445877,
0.05966740474104881,
-0.02655731327831745,
0.032195597887039185,
0.03872204199433327,
0.12224908918142319,
-0.07129044085741043,
-0.0004636104276869446,
-0.007636773865669966,
-0.02482732944190502,
-0.03400344029068947,
-0.012553578242659569,
-0.09908512234687805,
-0.06652406603097916,
0.017439506947994232
] | null | null | null | null | null | null | null | [
-0.03043181076645851,
-0.06820417195558548,
0.08204179257154465,
0.10010094195604324,
0.05283656343817711,
-0.004071652889251709,
-0.10241411626338959,
0.04928203299641609,
0.03636714816093445,
-0.10110235959291458,
-0.10246119648218155,
0.023630928248167038,
-0.034559208899736404,
-0.009911960922181606,
-0.08414830267429352,
-0.01711399294435978,
-0.08918322622776031,
0.02008841559290886,
0.022663142532110214,
-0.040531568229198456,
0.051371943205595016,
0.033290375024080276,
-0.006943696178495884,
-0.029939450323581696,
0.05951862409710884,
0.08145781606435776,
-0.024371450766921043,
0.059718359261751175,
-0.032102059572935104,
0.0319051519036293,
0.06816363334655762,
-0.04529411345720291,
0.030463872477412224,
0.029840460047125816,
-0.0919010192155838,
-0.027804536744952202,
-0.04225976765155792,
0.021366409957408905,
0.0471578910946846,
0.05884043499827385,
-0.006897253915667534,
-0.08827507495880127,
-0.0253521166741848,
-0.04350893199443817,
0.09554237127304077,
-0.012559370137751102,
0.03655366972088814,
-0.07932433485984802,
0.024477891623973846,
0.0779668390750885,
0.029843777418136597,
0.026142509654164314,
-0.08666851371526718,
0.021162422373890877,
0.026596898213028908,
-0.05622382462024689,
-0.027736594900488853,
0.01550032664090395,
-0.03985914960503578,
0.01833721436560154,
-0.04556043818593025,
-0.007533438969403505,
-0.04477574676275253,
-0.013538241386413574,
0.008068587630987167,
0.031072968617081642,
-0.07638433575630188,
0.009204412810504436,
-0.04574548080563545,
-0.044908374547958374,
-0.020815251395106316,
0.02386418730020523,
-0.07845810055732727,
-0.05479901656508446,
-0.031716376543045044,
-0.004722070414572954,
0.11563587933778763,
0.022699443623423576,
-0.015625933185219765,
-0.036496661603450775,
0.020359860733151436,
0.08632364124059677,
-0.01701243594288826,
-0.08650202304124832,
0.048377010971307755,
-0.019451459869742393,
0.0035716486163437366,
0.04429663345217705,
0.033779725432395935,
-0.020760994404554367,
-0.010925192385911942,
0.04627799987792969,
-0.05099768564105034,
0.03125500679016113,
0.06589516252279282,
0.09444689750671387,
-0.023006418719887733,
-0.03797052055597305,
-0.03470449894666672,
0.0440201498568058,
0.04442252591252327,
0.03419173136353493,
-0.0162701103836298,
-0.040302302688360214,
0.06343283504247665,
-0.043703433126211166,
0.06070738285779953,
0.05231857672333717,
-0.012632356025278568,
-0.14465509355068207,
-0.05751204863190651,
-0.02497018314898014,
0.015598003752529621,
-0.07491874694824219,
-0.04152301326394081,
-0.02321995235979557,
-0.11464806646108627,
-0.026517145335674286,
0.09162645787000656,
0.06583326309919357,
-0.02774733677506447,
-0.039810437709093094,
0.09151837229728699,
0.08349793404340744,
0.06688199192285538,
0.0013638396048918366,
-0.014060250483453274,
-1.295046144103871e-34,
-0.08292723447084427,
-0.06703558564186096,
0.0013112213928252459,
-0.01742715761065483,
-0.0060357279144227505,
0.08935650438070297,
0.009888587519526482,
0.012826397083699703,
0.03260015696287155,
0.045967597514390945,
-0.01570362038910389,
0.036732565611600876,
-0.0629577711224556,
0.0280716922134161,
-0.0032966160215437412,
-0.03166166692972183,
0.047900013625621796,
-0.03505479544401169,
0.10033353418111801,
-0.07654281705617905,
0.023005083203315735,
-0.03322707116603851,
0.019281966611742973,
-0.051823895424604416,
-0.014921966008841991,
0.061172232031822205,
0.09073833376169205,
0.04010500758886337,
-0.0972980186343193,
0.026625582948327065,
-0.021580589935183525,
-0.015667777508497238,
-0.07021623104810715,
-0.0655488520860672,
-0.006551794707775116,
-0.021842431277036667,
-0.010367863811552525,
0.0041807591915130615,
-0.003152863122522831,
-0.010509411804378033,
-0.07835037261247635,
0.02607780694961548,
-0.01718076504766941,
-0.03835850954055786,
-0.057826798409223557,
0.04948015511035919,
0.048238713294267654,
-0.02943359687924385,
-0.012809661217033863,
0.03562778979539871,
0.005879417527467012,
-0.04135310649871826,
0.0028513120487332344,
-0.07701104879379272,
0.006312679499387741,
-0.00554285803809762,
0.009424710646271706,
0.015615020878612995,
-0.004346380475908518,
-0.0009260224760510027,
-0.12533949315547943,
0.04463294893503189,
-0.05038996413350105,
0.051583461463451385,
-0.06052602455019951,
0.047678735107183456,
-0.02554365247488022,
0.07179941236972809,
0.02902504801750183,
0.044579774141311646,
0.0840723067522049,
0.0019541620276868343,
0.016634300351142883,
-0.027694422751665115,
0.008490580134093761,
-0.04301251098513603,
0.03725060075521469,
-0.004790663719177246,
-0.0036033284850418568,
0.06980684399604797,
0.006266363896429539,
0.05188627541065216,
0.04344300180673599,
-0.0711117684841156,
-0.05447138100862503,
0.08569245040416718,
0.06185830757021904,
0.004007011651992798,
0.07819885015487671,
-0.06740478426218033,
-0.1328580677509308,
0.02400834672152996,
0.015475885011255741,
0.007798038888722658,
0.02660178393125534,
-2.120797749983541e-34,
-0.010885702446103096,
0.1097126454114914,
-0.012771384790539742,
-0.02716490440070629,
-0.0059242453426122665,
-0.01872165873646736,
-0.01878851093351841,
0.0314120315015316,
0.05919373780488968,
0.029147904366254807,
0.016063934192061424,
-0.09469763934612274,
-0.03490854427218437,
-0.05245313420891762,
0.0427897609770298,
0.03563031926751137,
-0.05718867480754852,
-0.05784895643591881,
0.04408987611532211,
-0.012559009715914726,
-0.07716834545135498,
0.021647877991199493,
-0.053022321313619614,
0.06811864674091339,
-0.06740723550319672,
-0.01625993847846985,
0.0032165206503123045,
0.06689181923866272,
-0.07751146703958511,
-0.037855859845876694,
-0.030622534453868866,
-0.047824740409851074,
0.04266772046685219,
0.05535466969013214,
-0.05714907869696617,
0.10341257601976395,
0.001431322074495256,
-0.03203980624675751,
0.018997572362422943,
0.030530516058206558,
0.08082214742898941,
0.023741936311125755,
0.033999551087617874,
-0.0650777518749237,
0.008931971155107021,
0.019935838878154755,
0.026625942438840866,
0.04412473365664482,
0.06523662805557251,
0.026158329099416733,
-0.010224617086350918,
0.03615757077932358,
-0.11583974212408066,
-0.028465989977121353,
-0.06551647186279297,
0.0072501543909311295,
0.03196839615702629,
-0.00656499620527029,
-0.048535268753767014,
-0.02244536206126213,
0.06295419484376907,
-0.03953094780445099,
0.13284309208393097,
0.0245701614767313,
0.012339120730757713,
0.020003782585263252,
0.031051183119416237,
-0.03532470390200615,
0.09987916052341461,
0.046735938638448715,
-0.06236320361495018,
-0.01635085605084896,
0.04474674537777901,
0.016092495992779732,
0.00533021567389369,
-0.033310167491436005,
0.012439697049558163,
-0.018643613904714584,
-0.03474165499210358,
0.04531139135360718,
0.036084797233343124,
-0.02279358170926571,
-0.05368294566869736,
0.021656351163983345,
0.03238115832209587,
0.06974637508392334,
-0.029546024277806282,
0.020554207265377045,
0.06843329966068268,
-0.013166612945497036,
-0.012454800307750702,
0.09368324279785156,
-0.017417598515748978,
0.051916446536779404,
-0.003307642415165901,
-4.260969532765557e-8,
-0.043460700660943985,
-0.027316192165017128,
0.002903164364397526,
0.05657600983977318,
0.06869382411241531,
-0.01493682898581028,
0.04007492959499359,
-0.024299152195453644,
0.04847041890025139,
-0.06706838309764862,
0.1036427915096283,
-0.04537186771631241,
-0.11097215861082077,
-0.004314204677939415,
-0.002628130605444312,
-0.07990920543670654,
0.04752383008599281,
0.031416088342666626,
0.04772425815463066,
0.04206997528672218,
0.05325652286410332,
0.022280609235167503,
-0.005148714408278465,
-0.01063671987503767,
0.10634096711874008,
-0.08310643583536148,
-0.042116545140743256,
0.08184488862752914,
0.03976529464125633,
0.10929454863071442,
0.02213711105287075,
0.025643562898039818,
-0.05667763575911522,
0.030742524191737175,
0.043469443917274475,
0.06482764333486557,
0.0435819998383522,
0.043603114783763885,
-0.06072474271059036,
0.04801114648580551,
-0.032645415514707565,
0.05631071701645851,
-0.03942561149597168,
-0.025165095925331116,
-0.011159817688167095,
-0.015535656362771988,
0.008928729221224785,
-0.07567088305950165,
0.08136337250471115,
-0.05097944289445877,
0.05966740474104881,
-0.02655731327831745,
0.032195597887039185,
0.03872204199433327,
0.12224908918142319,
-0.07129044085741043,
-0.0004636104276869446,
-0.007636773865669966,
-0.02482732944190502,
-0.03400344029068947,
-0.012553578242659569,
-0.09908512234687805,
-0.06652406603097916,
0.017439506947994232
] |
1401.1568 | Seung Ki Baek | Seung Ki Baek, Il Gu Yi, Hye Jin Park, and Beom Jun Kim | Universal statistics of the knockout tournament | 16 pages, 14 figures | Sci. Rep. 3, 3198 (2013) | 10.1038/srep03198 | null | physics.soc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study statistics of the knockout tournament, where only the winner of a
fixture progresses to the next. We assign a real number called competitiveness
to each contestant and find that the resulting distribution of prize money
follows a power law with an exponent close to unity if the competitiveness is a
stable quantity and a decisive factor to win a match. Otherwise, the
distribution is found narrow. The existing observation of power law
distributions in various kinds of real sports tournaments therefore suggests
that the rules of those games are constructed in such a way that it is possible
to understand the games in terms of the contestants' inherent characteristics
of competitiveness.
| [
{
"created": "Wed, 8 Jan 2014 02:59:13 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Baek",
"Seung Ki",
""
],
[
"Yi",
"Il Gu",
""
],
[
"Park",
"Hye Jin",
""
],
[
"Kim",
"Beom Jun",
""
]
] | [
-0.002789856633171439,
0.028969747945666313,
-0.052131205797195435,
-0.02942701056599617,
0.05128912255167961,
0.06558866798877716,
0.051650162786245346,
0.015586462803184986,
0.1178087666630745,
0.12082604318857193,
-0.07856391370296478,
-0.032609641551971436,
0.05305825173854828,
0.054611217230558395,
0.0429048053920269,
-0.087444968521595,
0.04600809887051582,
0.01208211574703455,
-0.059639059007167816,
0.044964272528886795,
0.04027636721730232,
-0.08142565935850143,
-0.06148757413029671,
-0.045281365513801575,
0.07066228985786438,
-0.09538906812667847,
-0.0417369119822979,
-0.009979892522096634,
0.004934054799377918,
-0.03464490920305252,
-0.03160415589809418,
-0.01163927000015974,
0.020896269008517265,
0.06073484942317009,
-0.0527799129486084,
-0.07410572469234467,
-0.025003690272569656,
-0.01046020444482565,
-0.044481657445430756,
0.06669993698596954,
0.02434319444000721,
-0.05253499001264572,
-0.0003700421075336635,
0.018654612824320793,
0.02076595276594162,
0.062322959303855896,
-0.018373263999819756,
0.06524654477834702,
-0.04824810102581978,
0.06329347938299179,
-0.04938230291008949,
-0.007863350212574005,
0.02947310172021389,
0.03222515806555748,
0.10980938374996185,
-0.029686450958251953,
0.05932179093360901,
-0.04644105210900307,
0.04121232032775879,
0.009890306740999222,
0.07704828679561615,
-0.008239437825977802,
-0.09467869251966476,
0.03510231152176857,
-0.023529352620244026,
-0.03719649091362953,
0.0453178845345974,
0.1476118415594101,
-0.005180434323847294,
0.024897195398807526,
0.060034073889255524,
-0.021695788949728012,
-0.03763465955853462,
-0.025684133172035217,
0.07453207671642303,
0.042609937489032745,
-0.10704310983419418,
-0.08651316165924072,
0.015565549954771996,
0.03155959025025368,
-0.01866651140153408,
-0.10466376692056656,
-0.03823259100317955,
-0.021383361890912056,
0.09044342488050461,
-0.061301589012145996,
0.027582312002778053,
-0.049858495593070984,
0.06711303442716599,
0.0029255165718495846,
-0.1342860907316208,
0.10670815408229828,
0.055742297321558,
0.04315150901675224,
-0.034981369972229004,
0.08840911090373993,
-0.00022834687842987478,
-0.06834385544061661,
0.13986507058143616,
0.08293793350458145,
-0.013622947968542576,
0.05268236994743347,
0.018462268635630608,
0.0031504316721111536,
0.04938192293047905,
-0.0013293138472363353,
-0.0096934475004673,
0.01212398149073124,
0.026951806619763374,
0.02286536432802677,
-0.02373085729777813,
0.022309303283691406,
0.000950528949033469,
0.03895376995205879,
-0.047212522476911545,
0.08982998132705688,
-0.02128302864730358,
0.11701828986406326,
-0.0532861165702343,
-0.0012002837611362338,
0.0579463429749012,
0.06792629510164261,
-0.007634924724698067,
-0.016709042713046074,
0.058980152010917664,
0.02759268879890442,
0.02561093494296074,
-1.1447612576499052e-34,
0.030072370544075966,
-0.12297135591506958,
-0.052265819162130356,
0.056495122611522675,
-0.021012110635638237,
-0.013499490916728973,
-0.010978317819535732,
-0.05747855454683304,
-0.03233056887984276,
0.0016025797231122851,
-0.07646608352661133,
0.1193285807967186,
0.020356571301817894,
-0.02946104109287262,
0.09878318011760712,
0.02839428186416626,
-0.06589188426733017,
-0.03600655868649483,
0.031957101076841354,
-0.0074933660216629505,
0.09347608685493469,
0.006871085613965988,
0.0015355892246589065,
0.022197488695383072,
-0.007582787424325943,
0.019838079810142517,
-0.05061796307563782,
-0.06835094839334488,
-0.01906755194067955,
0.015218820422887802,
0.039209429174661636,
-0.04232117161154747,
-0.002892702119424939,
-0.02033257856965065,
-0.06326276063919067,
-0.027055729180574417,
0.03365674242377281,
-0.021508103236556053,
0.021904248744249344,
0.01927296631038189,
-0.10359574854373932,
-0.04376467689871788,
-0.06732836365699768,
-0.050049345940351486,
-0.08520818501710892,
0.00922328419983387,
-0.02184850163757801,
-0.015352226793766022,
0.0051758368499577045,
-0.017019428312778473,
0.0023684061598032713,
-0.04993130639195442,
0.08381818979978561,
-0.03239493817090988,
0.05636502802371979,
-0.044154830276966095,
-0.09114345908164978,
0.0018927810015156865,
-0.06290601938962936,
0.0052610160782933235,
-0.0769999697804451,
-0.0077268811874091625,
0.038076627999544144,
0.07186271250247955,
-0.03010663390159607,
0.0065788812935352325,
0.006766077131032944,
-0.06574857234954834,
0.02308548241853714,
-0.09740957617759705,
0.05065017566084862,
0.031185945495963097,
-0.05779720097780228,
-0.05135497823357582,
0.026199590414762497,
-0.02006957121193409,
0.07300034165382385,
-0.004350111819803715,
-0.023403624072670937,
0.03365562856197357,
-0.03322596848011017,
-0.031427256762981415,
0.0017091577174142003,
-0.05494854971766472,
-0.029881585389375687,
0.04228473827242851,
-0.006954984273761511,
-0.026148682460188866,
-0.022737760096788406,
0.0004594014899339527,
-0.015570150688290596,
-0.08360842615365982,
-0.006093875039368868,
0.0009119400638155639,
0.0023275979328900576,
-1.5289456656473792e-33,
-0.09701157361268997,
0.0035021984949707985,
0.017405834048986435,
0.0727357566356659,
0.06845744699239731,
0.008410351350903511,
-0.0434870645403862,
-0.00607870751991868,
0.016368474811315536,
0.009030257351696491,
-0.05602544546127319,
0.012428496032953262,
0.019004108384251595,
-0.02983124740421772,
-0.0014793348964303732,
-0.1265116035938263,
0.06771733611822128,
0.044686660170555115,
-0.021398719400167465,
-0.0036522166337817907,
0.13495755195617676,
-0.04017926752567291,
-0.07144105434417725,
-0.09658031910657883,
0.006406823638826609,
-0.017433669418096542,
-0.06672533601522446,
-0.022164231166243553,
-0.0393650084733963,
0.07759805768728256,
0.015683773905038834,
-0.002510551130399108,
-0.0695052295923233,
0.020957564935088158,
-0.06354446709156036,
-0.006005170289427042,
0.045536208897829056,
0.0375194288790226,
-0.00576732587069273,
0.004041997250169516,
-0.03765234351158142,
-0.04320015385746956,
-0.022749414667487144,
-0.024689387530088425,
0.05669159069657326,
0.002765791257843375,
0.03648823872208595,
-0.03995048999786377,
0.09172903746366501,
-0.10630093514919281,
0.07608327269554138,
0.03731904551386833,
-0.028281262144446373,
0.05684959143400192,
-0.07473801076412201,
0.03274862840771675,
-0.07543006539344788,
0.025376539677381516,
-0.01824825629591942,
0.04867921024560928,
-0.02472885139286518,
-0.018198581412434578,
-0.03918168321251869,
0.14322416484355927,
-0.038030028343200684,
0.05295444652438164,
-0.033281344920396805,
0.023484334349632263,
0.009063469246029854,
-0.05322916433215141,
-0.04631393030285835,
0.006730710621923208,
-0.03437907248735428,
0.037874117493629456,
-0.017412442713975906,
0.08468599617481232,
-0.030968600884079933,
0.08791027963161469,
0.050019457936286926,
0.04695532098412514,
-0.04148932173848152,
0.06744448095560074,
-0.0032984064891934395,
-0.09522638469934464,
0.056519556790590286,
0.020433414727449417,
0.045447491109371185,
-0.06969375163316727,
0.025449082255363464,
-0.0013815149432048202,
0.04064779356122017,
0.025071313604712486,
0.06679004430770874,
-0.1015489473938942,
0.040091026574373245,
-4.142910725590809e-8,
0.04316401481628418,
0.03687303513288498,
0.023036587983369827,
0.03249219432473183,
-0.007276059128344059,
0.09384871274232864,
0.03121298924088478,
-0.054944634437561035,
-0.014041763730347157,
0.007853499613702297,
0.08919978886842728,
-0.0009989070240408182,
0.01902594603598118,
-0.023414112627506256,
-0.04732830449938774,
0.0177997387945652,
-0.08350668847560883,
0.029752355068922043,
-0.031479060649871826,
0.0221080519258976,
0.03135502710938454,
-0.013825397938489914,
0.005105595104396343,
-0.02943604625761509,
-0.03226880729198456,
0.044120803475379944,
-0.018724925816059113,
-0.025164274498820305,
-0.02606365457177162,
0.05322884023189545,
0.03139495477080345,
-0.012021517381072044,
0.03693574294447899,
-0.05894048139452934,
0.04509064927697182,
0.0772690400481224,
-0.04024422913789749,
-0.029317429289221764,
0.013867740519344807,
-0.007249378599226475,
-0.03298185020685196,
-0.06671261787414551,
0.0027694478631019592,
0.03598053380846977,
0.054129939526319504,
-0.04008251056075096,
-0.024764910340309143,
-0.007526510860770941,
0.024353478103876114,
-0.09756942838430405,
0.036542586982250214,
-0.05320499837398529,
-0.04359840229153633,
-0.11016206443309784,
0.01072001550346613,
0.06414742022752762,
0.023035241290926933,
-0.012554618529975414,
0.019473452121019363,
-0.04866521432995796,
0.030425842851400375,
-0.0333913117647171,
0.00802732352167368,
0.010211218148469925
] | null | null | null | null | null | null | null | [
-0.002789856633171439,
0.028969747945666313,
-0.052131205797195435,
-0.02942701056599617,
0.05128912255167961,
0.06558866798877716,
0.051650162786245346,
0.015586462803184986,
0.1178087666630745,
0.12082604318857193,
-0.07856391370296478,
-0.032609641551971436,
0.05305825173854828,
0.054611217230558395,
0.0429048053920269,
-0.087444968521595,
0.04600809887051582,
0.01208211574703455,
-0.059639059007167816,
0.044964272528886795,
0.04027636721730232,
-0.08142565935850143,
-0.06148757413029671,
-0.045281365513801575,
0.07066228985786438,
-0.09538906812667847,
-0.0417369119822979,
-0.009979892522096634,
0.004934054799377918,
-0.03464490920305252,
-0.03160415589809418,
-0.01163927000015974,
0.020896269008517265,
0.06073484942317009,
-0.0527799129486084,
-0.07410572469234467,
-0.025003690272569656,
-0.01046020444482565,
-0.044481657445430756,
0.06669993698596954,
0.02434319444000721,
-0.05253499001264572,
-0.0003700421075336635,
0.018654612824320793,
0.02076595276594162,
0.062322959303855896,
-0.018373263999819756,
0.06524654477834702,
-0.04824810102581978,
0.06329347938299179,
-0.04938230291008949,
-0.007863350212574005,
0.02947310172021389,
0.03222515806555748,
0.10980938374996185,
-0.029686450958251953,
0.05932179093360901,
-0.04644105210900307,
0.04121232032775879,
0.009890306740999222,
0.07704828679561615,
-0.008239437825977802,
-0.09467869251966476,
0.03510231152176857,
-0.023529352620244026,
-0.03719649091362953,
0.0453178845345974,
0.1476118415594101,
-0.005180434323847294,
0.024897195398807526,
0.060034073889255524,
-0.021695788949728012,
-0.03763465955853462,
-0.025684133172035217,
0.07453207671642303,
0.042609937489032745,
-0.10704310983419418,
-0.08651316165924072,
0.015565549954771996,
0.03155959025025368,
-0.01866651140153408,
-0.10466376692056656,
-0.03823259100317955,
-0.021383361890912056,
0.09044342488050461,
-0.061301589012145996,
0.027582312002778053,
-0.049858495593070984,
0.06711303442716599,
0.0029255165718495846,
-0.1342860907316208,
0.10670815408229828,
0.055742297321558,
0.04315150901675224,
-0.034981369972229004,
0.08840911090373993,
-0.00022834687842987478,
-0.06834385544061661,
0.13986507058143616,
0.08293793350458145,
-0.013622947968542576,
0.05268236994743347,
0.018462268635630608,
0.0031504316721111536,
0.04938192293047905,
-0.0013293138472363353,
-0.0096934475004673,
0.01212398149073124,
0.026951806619763374,
0.02286536432802677,
-0.02373085729777813,
0.022309303283691406,
0.000950528949033469,
0.03895376995205879,
-0.047212522476911545,
0.08982998132705688,
-0.02128302864730358,
0.11701828986406326,
-0.0532861165702343,
-0.0012002837611362338,
0.0579463429749012,
0.06792629510164261,
-0.007634924724698067,
-0.016709042713046074,
0.058980152010917664,
0.02759268879890442,
0.02561093494296074,
-1.1447612576499052e-34,
0.030072370544075966,
-0.12297135591506958,
-0.052265819162130356,
0.056495122611522675,
-0.021012110635638237,
-0.013499490916728973,
-0.010978317819535732,
-0.05747855454683304,
-0.03233056887984276,
0.0016025797231122851,
-0.07646608352661133,
0.1193285807967186,
0.020356571301817894,
-0.02946104109287262,
0.09878318011760712,
0.02839428186416626,
-0.06589188426733017,
-0.03600655868649483,
0.031957101076841354,
-0.0074933660216629505,
0.09347608685493469,
0.006871085613965988,
0.0015355892246589065,
0.022197488695383072,
-0.007582787424325943,
0.019838079810142517,
-0.05061796307563782,
-0.06835094839334488,
-0.01906755194067955,
0.015218820422887802,
0.039209429174661636,
-0.04232117161154747,
-0.002892702119424939,
-0.02033257856965065,
-0.06326276063919067,
-0.027055729180574417,
0.03365674242377281,
-0.021508103236556053,
0.021904248744249344,
0.01927296631038189,
-0.10359574854373932,
-0.04376467689871788,
-0.06732836365699768,
-0.050049345940351486,
-0.08520818501710892,
0.00922328419983387,
-0.02184850163757801,
-0.015352226793766022,
0.0051758368499577045,
-0.017019428312778473,
0.0023684061598032713,
-0.04993130639195442,
0.08381818979978561,
-0.03239493817090988,
0.05636502802371979,
-0.044154830276966095,
-0.09114345908164978,
0.0018927810015156865,
-0.06290601938962936,
0.0052610160782933235,
-0.0769999697804451,
-0.0077268811874091625,
0.038076627999544144,
0.07186271250247955,
-0.03010663390159607,
0.0065788812935352325,
0.006766077131032944,
-0.06574857234954834,
0.02308548241853714,
-0.09740957617759705,
0.05065017566084862,
0.031185945495963097,
-0.05779720097780228,
-0.05135497823357582,
0.026199590414762497,
-0.02006957121193409,
0.07300034165382385,
-0.004350111819803715,
-0.023403624072670937,
0.03365562856197357,
-0.03322596848011017,
-0.031427256762981415,
0.0017091577174142003,
-0.05494854971766472,
-0.029881585389375687,
0.04228473827242851,
-0.006954984273761511,
-0.026148682460188866,
-0.022737760096788406,
0.0004594014899339527,
-0.015570150688290596,
-0.08360842615365982,
-0.006093875039368868,
0.0009119400638155639,
0.0023275979328900576,
-1.5289456656473792e-33,
-0.09701157361268997,
0.0035021984949707985,
0.017405834048986435,
0.0727357566356659,
0.06845744699239731,
0.008410351350903511,
-0.0434870645403862,
-0.00607870751991868,
0.016368474811315536,
0.009030257351696491,
-0.05602544546127319,
0.012428496032953262,
0.019004108384251595,
-0.02983124740421772,
-0.0014793348964303732,
-0.1265116035938263,
0.06771733611822128,
0.044686660170555115,
-0.021398719400167465,
-0.0036522166337817907,
0.13495755195617676,
-0.04017926752567291,
-0.07144105434417725,
-0.09658031910657883,
0.006406823638826609,
-0.017433669418096542,
-0.06672533601522446,
-0.022164231166243553,
-0.0393650084733963,
0.07759805768728256,
0.015683773905038834,
-0.002510551130399108,
-0.0695052295923233,
0.020957564935088158,
-0.06354446709156036,
-0.006005170289427042,
0.045536208897829056,
0.0375194288790226,
-0.00576732587069273,
0.004041997250169516,
-0.03765234351158142,
-0.04320015385746956,
-0.022749414667487144,
-0.024689387530088425,
0.05669159069657326,
0.002765791257843375,
0.03648823872208595,
-0.03995048999786377,
0.09172903746366501,
-0.10630093514919281,
0.07608327269554138,
0.03731904551386833,
-0.028281262144446373,
0.05684959143400192,
-0.07473801076412201,
0.03274862840771675,
-0.07543006539344788,
0.025376539677381516,
-0.01824825629591942,
0.04867921024560928,
-0.02472885139286518,
-0.018198581412434578,
-0.03918168321251869,
0.14322416484355927,
-0.038030028343200684,
0.05295444652438164,
-0.033281344920396805,
0.023484334349632263,
0.009063469246029854,
-0.05322916433215141,
-0.04631393030285835,
0.006730710621923208,
-0.03437907248735428,
0.037874117493629456,
-0.017412442713975906,
0.08468599617481232,
-0.030968600884079933,
0.08791027963161469,
0.050019457936286926,
0.04695532098412514,
-0.04148932173848152,
0.06744448095560074,
-0.0032984064891934395,
-0.09522638469934464,
0.056519556790590286,
0.020433414727449417,
0.045447491109371185,
-0.06969375163316727,
0.025449082255363464,
-0.0013815149432048202,
0.04064779356122017,
0.025071313604712486,
0.06679004430770874,
-0.1015489473938942,
0.040091026574373245,
-4.142910725590809e-8,
0.04316401481628418,
0.03687303513288498,
0.023036587983369827,
0.03249219432473183,
-0.007276059128344059,
0.09384871274232864,
0.03121298924088478,
-0.054944634437561035,
-0.014041763730347157,
0.007853499613702297,
0.08919978886842728,
-0.0009989070240408182,
0.01902594603598118,
-0.023414112627506256,
-0.04732830449938774,
0.0177997387945652,
-0.08350668847560883,
0.029752355068922043,
-0.031479060649871826,
0.0221080519258976,
0.03135502710938454,
-0.013825397938489914,
0.005105595104396343,
-0.02943604625761509,
-0.03226880729198456,
0.044120803475379944,
-0.018724925816059113,
-0.025164274498820305,
-0.02606365457177162,
0.05322884023189545,
0.03139495477080345,
-0.012021517381072044,
0.03693574294447899,
-0.05894048139452934,
0.04509064927697182,
0.0772690400481224,
-0.04024422913789749,
-0.029317429289221764,
0.013867740519344807,
-0.007249378599226475,
-0.03298185020685196,
-0.06671261787414551,
0.0027694478631019592,
0.03598053380846977,
0.054129939526319504,
-0.04008251056075096,
-0.024764910340309143,
-0.007526510860770941,
0.024353478103876114,
-0.09756942838430405,
0.036542586982250214,
-0.05320499837398529,
-0.04359840229153633,
-0.11016206443309784,
0.01072001550346613,
0.06414742022752762,
0.023035241290926933,
-0.012554618529975414,
0.019473452121019363,
-0.04866521432995796,
0.030425842851400375,
-0.0333913117647171,
0.00802732352167368,
0.010211218148469925
] |
1401.1572 | Aravindhan Ganesan Dr | Aravindhan Ganesan, Narges Mohammadi and Feng Wang | From building blocks of proteins to drugs: A quantum chemical study on
structure-property relationships of phenylalanine, tyrosine and dopa | null | null | null | null | physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Density functional theory and ab initio methods have been employed to address
the impacts of hydroxyl (OH) group substitutions on the physico-chemical
properties of levodopa (or L-dopa) against the natural amino acids,
phenylalanine and tyrosine. L-dopa, which is an important therapeutic drug for
Parkinson's disease, shares structural homology with the amino acids, whose
structures differ only by OH substitutions in their phenyl side chains. It is
revealed that the backbone geometries of the aromatic molecules do not show
apparent OH-dependent differences; however, their other molecular-level
properties, such as molecular dipole moment, electronic properties and
aromaticity, change significantly. The core binding energy spectra indicate
that the atom sites that undergo modifications exhibit large energy shifts, so
as to accommodate the changes in the intra-molecular chemical environment of
the molecules. The binding energies of the modified C 1s sites in the molecules
shift as much as 1.8 eV, whereas the electronic changes in their O 1s spectra
happen in the higher energy region (ca. 536 eV). The valence spectra provide
enhanced insights on the reactivity and chemical properties of the aromatic
molecules. The impacts of OH moieties on the valence spectra are predominantly
focussed in the energy band<16 eV, where the frontier molecular orbitals
display much reorganization and energy shifts from the amino acids to L-dopa.
Of the three molecules, L-dopa also has the least HOMO-LUMO energy gap, which
can readily explain its proactivity as a drug compound. Furthermore, the
nuclear independent chemical shift calculations suggest that L-dopa also has
more aromaticity features than those of the amino acids. The OH groups,
therefore, play a more prominent role in shaping the physico-chemical
properties of L-dopa, which significantly improve its drug potency.
| [
{
"created": "Wed, 8 Jan 2014 03:41:57 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Ganesan",
"Aravindhan",
""
],
[
"Mohammadi",
"Narges",
""
],
[
"Wang",
"Feng",
""
]
] | [
-0.030210141092538834,
-0.11974944919347763,
-0.017205633223056793,
-0.02111060917377472,
0.07818717509508133,
0.03866161033511162,
-0.029497308656573296,
0.06325004249811172,
0.12232658267021179,
-0.04197787493467331,
0.006458439864218235,
0.009903736412525177,
0.011887875385582447,
0.035146959125995636,
0.0259032491594553,
0.07034187763929367,
-0.052919063717126846,
0.018001260235905647,
-0.04141615331172943,
0.04262527823448181,
-0.020721042528748512,
0.010390162467956543,
-0.00768698425963521,
0.035410765558481216,
0.0007285994361154735,
0.02142980694770813,
0.03730674088001251,
0.034465815871953964,
0.011127093806862831,
-0.02072794735431671,
0.1211799681186676,
0.023046031594276428,
-0.036354608833789825,
-0.012862123548984528,
-0.059259384870529175,
0.03541789576411247,
-0.03291063383221626,
-0.05078423023223877,
0.019596170634031296,
-0.037878453731536865,
0.004336811136454344,
-0.010974682867527008,
0.019300010055303574,
-0.06324265897274017,
-0.0015899300342425704,
-0.06302694231271744,
0.06024918705224991,
-0.0440545417368412,
0.016804363578557968,
0.004649172071367502,
0.08460921794176102,
-0.05164191871881485,
-0.00012583470379468054,
0.076494961977005,
-0.08152541518211365,
0.06244081258773804,
-0.06137918680906296,
0.08889736235141754,
0.005248888395726681,
0.05824311450123787,
-0.01971215195953846,
0.11648747324943542,
0.02899789996445179,
0.016752107068896294,
0.0009406962781213224,
-0.004114739131182432,
-0.0020119226537644863,
-0.053446006029844284,
0.0278236735612154,
-0.04939508065581322,
-0.05600747838616371,
-0.008440799079835415,
0.09290661662817001,
0.03990878909826279,
0.03963807597756386,
-0.04254819080233574,
-0.053843315690755844,
0.06902602314949036,
0.036825913935899734,
-0.1325385570526123,
-0.008597665466368198,
0.04163647070527077,
0.024563586339354515,
0.09984807670116425,
0.06459027528762817,
0.047147464007139206,
-0.03646441176533699,
0.05518270656466484,
-0.013474523089826107,
-0.06993168592453003,
0.025968460366129875,
-0.008517344482243061,
-0.05007553473114967,
0.009550143033266068,
-0.020236093550920486,
0.00280773569829762,
0.1025291457772255,
-0.019109360873699188,
0.01933393068611622,
0.04702623933553696,
0.004678548779338598,
0.07425754517316818,
-0.08451524376869202,
-0.049784980714321136,
-0.11451175063848495,
-0.028544563800096512,
0.06620333343744278,
-0.005186022724956274,
-0.005516544450074434,
0.019341567531228065,
0.09998486936092377,
-0.02750319428741932,
0.07887745648622513,
0.028471365571022034,
-0.11874351650476456,
-0.057391148060560226,
-0.003942141309380531,
-0.011098177172243595,
-0.024909062311053276,
-0.02607020176947117,
-0.051575563848018646,
-0.045198146253824234,
0.06192901358008385,
0.05413493514060974,
-0.030687864869832993,
-0.002804937306791544,
-0.037025175988674164,
1.8408968871006594e-33,
0.06427307426929474,
-0.05072283372282982,
0.031655825674533844,
0.03571685031056404,
0.05757393687963486,
-0.05767446756362915,
-0.019163457676768303,
-0.06606228649616241,
0.005833185277879238,
-0.015448587946593761,
-0.07638056576251984,
0.027203748002648354,
-0.0024179962929338217,
-0.025663655251264572,
-0.061842430382966995,
0.05466616153717041,
-0.02169717662036419,
-0.00197325786575675,
0.025730520486831665,
-0.018644146621227264,
-0.023786505684256554,
0.043677814304828644,
0.002315603196620941,
0.06470460444688797,
0.0018327657599002123,
0.033694714307785034,
-0.10827993601560593,
0.028687015175819397,
-0.0257291030138731,
0.014539153315126896,
-0.03362719342112541,
-0.02238619700074196,
-0.11645124107599258,
-0.006646462716162205,
-0.06976090371608734,
0.03318653628230095,
-0.029469845816493034,
-0.0393708311021328,
0.0036246844101697206,
-0.041831761598587036,
0.01025202963501215,
0.035376403480768204,
-0.033740755170583725,
-0.02687707357108593,
-0.0035771073307842016,
0.07511705160140991,
0.0845717266201973,
0.034660324454307556,
-0.0364244170486927,
-0.057162098586559296,
-0.0007827749359421432,
-0.053716402500867844,
0.01636653207242489,
-0.002624492859467864,
-0.10751228034496307,
-0.055942606180906296,
-0.043956510722637177,
-0.01694604940712452,
0.09295008331537247,
0.1055232509970665,
0.02007490210235119,
0.06070709228515625,
0.052203208208084106,
-0.002695468720048666,
0.00939401425421238,
-0.051060765981674194,
-0.010923796333372593,
-0.006835443899035454,
0.03450406342744827,
0.07641321420669556,
0.015899790450930595,
0.0440032072365284,
0.0786338821053505,
0.027153218165040016,
0.04530565068125725,
0.025089047849178314,
-0.04007575288414955,
-0.03560933098196983,
0.027182379737496376,
0.04960767179727554,
0.0470401830971241,
-0.031817540526390076,
0.060905277729034424,
0.004846170078963041,
-0.0687527135014534,
-0.01102029625326395,
0.0445561483502388,
-0.050258852541446686,
-0.04181276261806488,
0.03509462997317314,
-0.03697003051638603,
-0.0599195696413517,
0.06375010311603546,
-0.08967869728803635,
0.02073029614984989,
-3.344298325820701e-33,
-0.033582620322704315,
-0.07601217180490494,
0.04270339384675026,
-0.033857572823762894,
0.029078003019094467,
0.010836159810423851,
-0.028125012293457985,
-0.029415778815746307,
0.07876361906528473,
-0.02954883500933647,
0.16795651614665985,
-0.013929101638495922,
-0.07211970537900925,
-0.027689248323440552,
0.036458443850278854,
0.0027681586798280478,
-0.10125046223402023,
0.0490294024348259,
0.051140300929546356,
-0.016058584675192833,
-0.018727730959653854,
-0.023019874468445778,
-0.03355034440755844,
0.0639641135931015,
0.01991051807999611,
0.05347704142332077,
-0.024665873497724533,
-0.059979721903800964,
0.051380254328250885,
0.10126616805791855,
-0.0369921550154686,
0.037061285227537155,
-0.07320364564657211,
-0.0021113178227096796,
0.055220093578100204,
0.021235497668385506,
-0.07100114226341248,
-0.03771188482642174,
-0.014259928837418556,
0.021181540563702583,
0.04880446568131447,
-0.018792971968650818,
0.04347306117415428,
-0.08694601058959961,
0.06717745959758759,
0.009025677107274532,
-0.08931883424520493,
-0.040264979004859924,
0.03678164631128311,
-0.06774937361478806,
0.07278518378734589,
-0.015035446733236313,
0.020398132503032684,
-0.04612651467323303,
0.031138842925429344,
0.06001057103276253,
-0.04202747344970703,
-0.018641766160726547,
0.020314238965511322,
-0.07279439270496368,
-0.07158645242452621,
-0.057722046971321106,
-0.04230634868144989,
0.025184795260429382,
-0.10094208270311356,
-0.02470242604613304,
-0.027551857754588127,
0.007729050237685442,
0.05922437086701393,
-0.03934565186500549,
-0.026562117040157318,
-0.10121747106313705,
0.11475461721420288,
0.06566029042005539,
-0.015089103952050209,
-0.07541809976100922,
0.0785103514790535,
-0.11619920283555984,
0.0013882406055927277,
-0.043526019901037216,
-0.03190245106816292,
-0.017088161781430244,
-0.07327132672071457,
-0.05556939169764519,
0.013321089558303356,
0.09706947207450867,
-0.01911045052111149,
0.050358112901449203,
0.03330966457724571,
-0.04396117851138115,
0.04879729822278023,
0.06277497112751007,
-0.05124487355351448,
0.037781838327646255,
0.02780557982623577,
-4.96780145908815e-8,
0.05411621183156967,
-0.07187756150960922,
0.038073308765888214,
0.0529618002474308,
-0.024658825248479843,
0.05597895011305809,
0.02980554662644863,
-0.023198001086711884,
-0.010943442583084106,
0.005755176767706871,
0.07254915684461594,
0.007651837542653084,
-0.0036749746650457382,
-0.044337186962366104,
-0.061890196055173874,
0.03966093435883522,
-0.09392179548740387,
0.036442797631025314,
-0.05127467215061188,
0.01443888433277607,
-0.022118445485830307,
0.04606107622385025,
-0.016115035861730576,
-0.048522014170885086,
0.07394444942474365,
-0.09065176546573639,
-0.06064654886722565,
0.01917651668190956,
-0.022320538759231567,
-0.04613334685564041,
0.02839377336204052,
-0.007108636666089296,
0.019630175083875656,
0.05340859666466713,
0.032011326402425766,
-0.041541602462530136,
-0.016832826659083366,
0.042174290865659714,
-0.06398923695087433,
0.04936551675200462,
0.008625502698123455,
-0.024265486747026443,
-0.018906565383076668,
-0.009012158960103989,
-0.0042402721010148525,
0.001818381017073989,
0.0031657665967941284,
0.10342928022146225,
-0.019828304648399353,
0.04272802546620369,
-0.005204151850193739,
0.05019097775220871,
0.04254501312971115,
-0.01213126815855503,
-0.09883393347263336,
-0.041572459042072296,
-0.09674117714166641,
0.01595333218574524,
0.03464977443218231,
-0.15465639531612396,
0.0026329706888645887,
-0.022274622693657875,
0.06669055670499802,
0.0016963869566097856
] | null | null | null | null | null | null | null | [
-0.030210141092538834,
-0.11974944919347763,
-0.017205633223056793,
-0.02111060917377472,
0.07818717509508133,
0.03866161033511162,
-0.029497308656573296,
0.06325004249811172,
0.12232658267021179,
-0.04197787493467331,
0.006458439864218235,
0.009903736412525177,
0.011887875385582447,
0.035146959125995636,
0.0259032491594553,
0.07034187763929367,
-0.052919063717126846,
0.018001260235905647,
-0.04141615331172943,
0.04262527823448181,
-0.020721042528748512,
0.010390162467956543,
-0.00768698425963521,
0.035410765558481216,
0.0007285994361154735,
0.02142980694770813,
0.03730674088001251,
0.034465815871953964,
0.011127093806862831,
-0.02072794735431671,
0.1211799681186676,
0.023046031594276428,
-0.036354608833789825,
-0.012862123548984528,
-0.059259384870529175,
0.03541789576411247,
-0.03291063383221626,
-0.05078423023223877,
0.019596170634031296,
-0.037878453731536865,
0.004336811136454344,
-0.010974682867527008,
0.019300010055303574,
-0.06324265897274017,
-0.0015899300342425704,
-0.06302694231271744,
0.06024918705224991,
-0.0440545417368412,
0.016804363578557968,
0.004649172071367502,
0.08460921794176102,
-0.05164191871881485,
-0.00012583470379468054,
0.076494961977005,
-0.08152541518211365,
0.06244081258773804,
-0.06137918680906296,
0.08889736235141754,
0.005248888395726681,
0.05824311450123787,
-0.01971215195953846,
0.11648747324943542,
0.02899789996445179,
0.016752107068896294,
0.0009406962781213224,
-0.004114739131182432,
-0.0020119226537644863,
-0.053446006029844284,
0.0278236735612154,
-0.04939508065581322,
-0.05600747838616371,
-0.008440799079835415,
0.09290661662817001,
0.03990878909826279,
0.03963807597756386,
-0.04254819080233574,
-0.053843315690755844,
0.06902602314949036,
0.036825913935899734,
-0.1325385570526123,
-0.008597665466368198,
0.04163647070527077,
0.024563586339354515,
0.09984807670116425,
0.06459027528762817,
0.047147464007139206,
-0.03646441176533699,
0.05518270656466484,
-0.013474523089826107,
-0.06993168592453003,
0.025968460366129875,
-0.008517344482243061,
-0.05007553473114967,
0.009550143033266068,
-0.020236093550920486,
0.00280773569829762,
0.1025291457772255,
-0.019109360873699188,
0.01933393068611622,
0.04702623933553696,
0.004678548779338598,
0.07425754517316818,
-0.08451524376869202,
-0.049784980714321136,
-0.11451175063848495,
-0.028544563800096512,
0.06620333343744278,
-0.005186022724956274,
-0.005516544450074434,
0.019341567531228065,
0.09998486936092377,
-0.02750319428741932,
0.07887745648622513,
0.028471365571022034,
-0.11874351650476456,
-0.057391148060560226,
-0.003942141309380531,
-0.011098177172243595,
-0.024909062311053276,
-0.02607020176947117,
-0.051575563848018646,
-0.045198146253824234,
0.06192901358008385,
0.05413493514060974,
-0.030687864869832993,
-0.002804937306791544,
-0.037025175988674164,
1.8408968871006594e-33,
0.06427307426929474,
-0.05072283372282982,
0.031655825674533844,
0.03571685031056404,
0.05757393687963486,
-0.05767446756362915,
-0.019163457676768303,
-0.06606228649616241,
0.005833185277879238,
-0.015448587946593761,
-0.07638056576251984,
0.027203748002648354,
-0.0024179962929338217,
-0.025663655251264572,
-0.061842430382966995,
0.05466616153717041,
-0.02169717662036419,
-0.00197325786575675,
0.025730520486831665,
-0.018644146621227264,
-0.023786505684256554,
0.043677814304828644,
0.002315603196620941,
0.06470460444688797,
0.0018327657599002123,
0.033694714307785034,
-0.10827993601560593,
0.028687015175819397,
-0.0257291030138731,
0.014539153315126896,
-0.03362719342112541,
-0.02238619700074196,
-0.11645124107599258,
-0.006646462716162205,
-0.06976090371608734,
0.03318653628230095,
-0.029469845816493034,
-0.0393708311021328,
0.0036246844101697206,
-0.041831761598587036,
0.01025202963501215,
0.035376403480768204,
-0.033740755170583725,
-0.02687707357108593,
-0.0035771073307842016,
0.07511705160140991,
0.0845717266201973,
0.034660324454307556,
-0.0364244170486927,
-0.057162098586559296,
-0.0007827749359421432,
-0.053716402500867844,
0.01636653207242489,
-0.002624492859467864,
-0.10751228034496307,
-0.055942606180906296,
-0.043956510722637177,
-0.01694604940712452,
0.09295008331537247,
0.1055232509970665,
0.02007490210235119,
0.06070709228515625,
0.052203208208084106,
-0.002695468720048666,
0.00939401425421238,
-0.051060765981674194,
-0.010923796333372593,
-0.006835443899035454,
0.03450406342744827,
0.07641321420669556,
0.015899790450930595,
0.0440032072365284,
0.0786338821053505,
0.027153218165040016,
0.04530565068125725,
0.025089047849178314,
-0.04007575288414955,
-0.03560933098196983,
0.027182379737496376,
0.04960767179727554,
0.0470401830971241,
-0.031817540526390076,
0.060905277729034424,
0.004846170078963041,
-0.0687527135014534,
-0.01102029625326395,
0.0445561483502388,
-0.050258852541446686,
-0.04181276261806488,
0.03509462997317314,
-0.03697003051638603,
-0.0599195696413517,
0.06375010311603546,
-0.08967869728803635,
0.02073029614984989,
-3.344298325820701e-33,
-0.033582620322704315,
-0.07601217180490494,
0.04270339384675026,
-0.033857572823762894,
0.029078003019094467,
0.010836159810423851,
-0.028125012293457985,
-0.029415778815746307,
0.07876361906528473,
-0.02954883500933647,
0.16795651614665985,
-0.013929101638495922,
-0.07211970537900925,
-0.027689248323440552,
0.036458443850278854,
0.0027681586798280478,
-0.10125046223402023,
0.0490294024348259,
0.051140300929546356,
-0.016058584675192833,
-0.018727730959653854,
-0.023019874468445778,
-0.03355034440755844,
0.0639641135931015,
0.01991051807999611,
0.05347704142332077,
-0.024665873497724533,
-0.059979721903800964,
0.051380254328250885,
0.10126616805791855,
-0.0369921550154686,
0.037061285227537155,
-0.07320364564657211,
-0.0021113178227096796,
0.055220093578100204,
0.021235497668385506,
-0.07100114226341248,
-0.03771188482642174,
-0.014259928837418556,
0.021181540563702583,
0.04880446568131447,
-0.018792971968650818,
0.04347306117415428,
-0.08694601058959961,
0.06717745959758759,
0.009025677107274532,
-0.08931883424520493,
-0.040264979004859924,
0.03678164631128311,
-0.06774937361478806,
0.07278518378734589,
-0.015035446733236313,
0.020398132503032684,
-0.04612651467323303,
0.031138842925429344,
0.06001057103276253,
-0.04202747344970703,
-0.018641766160726547,
0.020314238965511322,
-0.07279439270496368,
-0.07158645242452621,
-0.057722046971321106,
-0.04230634868144989,
0.025184795260429382,
-0.10094208270311356,
-0.02470242604613304,
-0.027551857754588127,
0.007729050237685442,
0.05922437086701393,
-0.03934565186500549,
-0.026562117040157318,
-0.10121747106313705,
0.11475461721420288,
0.06566029042005539,
-0.015089103952050209,
-0.07541809976100922,
0.0785103514790535,
-0.11619920283555984,
0.0013882406055927277,
-0.043526019901037216,
-0.03190245106816292,
-0.017088161781430244,
-0.07327132672071457,
-0.05556939169764519,
0.013321089558303356,
0.09706947207450867,
-0.01911045052111149,
0.050358112901449203,
0.03330966457724571,
-0.04396117851138115,
0.04879729822278023,
0.06277497112751007,
-0.05124487355351448,
0.037781838327646255,
0.02780557982623577,
-4.96780145908815e-8,
0.05411621183156967,
-0.07187756150960922,
0.038073308765888214,
0.0529618002474308,
-0.024658825248479843,
0.05597895011305809,
0.02980554662644863,
-0.023198001086711884,
-0.010943442583084106,
0.005755176767706871,
0.07254915684461594,
0.007651837542653084,
-0.0036749746650457382,
-0.044337186962366104,
-0.061890196055173874,
0.03966093435883522,
-0.09392179548740387,
0.036442797631025314,
-0.05127467215061188,
0.01443888433277607,
-0.022118445485830307,
0.04606107622385025,
-0.016115035861730576,
-0.048522014170885086,
0.07394444942474365,
-0.09065176546573639,
-0.06064654886722565,
0.01917651668190956,
-0.022320538759231567,
-0.04613334685564041,
0.02839377336204052,
-0.007108636666089296,
0.019630175083875656,
0.05340859666466713,
0.032011326402425766,
-0.041541602462530136,
-0.016832826659083366,
0.042174290865659714,
-0.06398923695087433,
0.04936551675200462,
0.008625502698123455,
-0.024265486747026443,
-0.018906565383076668,
-0.009012158960103989,
-0.0042402721010148525,
0.001818381017073989,
0.0031657665967941284,
0.10342928022146225,
-0.019828304648399353,
0.04272802546620369,
-0.005204151850193739,
0.05019097775220871,
0.04254501312971115,
-0.01213126815855503,
-0.09883393347263336,
-0.041572459042072296,
-0.09674117714166641,
0.01595333218574524,
0.03464977443218231,
-0.15465639531612396,
0.0026329706888645887,
-0.022274622693657875,
0.06669055670499802,
0.0016963869566097856
] |
1401.1573 | Xue Gong Deng | Xuegong Deng | The security deposit for finitely repeated Prisoner's dilemma | null | null | null | null | cs.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Under the assumption of complete rationality, Nash equilibrium is the only
reasonable strategy (set) of the finitely repeated prisoner's dilemma. In fact,
some strategies only slightly deviate from the so-called rationality, and the
corresponding payoff may much better than that of Nash equilibrium. This
article points out, even under the rational assumptions, the players have
reason to seek a mutually beneficial agreement (Pareto dominated compare to
Nash equilibrium) and a weak and optional constraints, so that the agreement
can be successfully implemented. If the constraint does not harm the interests
of the participants, or the adversely affects of the constraint are negligible,
then the finitely repeated prisoner's dilemma becomes a bargaining problem
issues on the strategy sequences and the problem to seek the constraints. The
quantification of the constraints, the so-called security deposit in this
paper, is nearly a concept of distance from an agreement (a strategy set) to
the complete rationality.
| [
{
"created": "Wed, 8 Jan 2014 03:50:39 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Deng",
"Xuegong",
""
]
] | [
-0.005623180419206619,
0.07414066791534424,
-0.09234416484832764,
-0.032806698232889175,
-0.036577027291059494,
0.15502232313156128,
0.09134194254875183,
-0.06247851252555847,
0.06106288731098175,
0.04492976889014244,
0.010203048586845398,
0.04256703332066536,
0.04848477989435196,
0.06766873598098755,
0.03733537718653679,
-0.04054007679224014,
0.03714001923799515,
0.005054913926869631,
0.06581848859786987,
0.09731145948171616,
-0.031760964542627335,
-0.127771258354187,
-0.0070226057432591915,
-0.03825533390045166,
-0.05343717336654663,
-0.047207001596689224,
0.0019461531192064285,
0.03743062913417816,
-0.05622655153274536,
0.006330289877951145,
0.019195254892110825,
-0.012677064165472984,
0.11090771108865738,
0.048197533935308456,
-0.013853282667696476,
0.039736341685056686,
-0.11239404231309891,
-0.02994557097554207,
-0.057212699204683304,
0.042677246034145355,
-0.02866375260055065,
0.03326147049665451,
-0.031183212995529175,
0.0014610856305807829,
-0.06468269973993301,
-0.08839257061481476,
-0.010338546708226204,
0.028437765315175056,
-0.08249879628419876,
-0.07912890613079071,
-0.03188157454133034,
0.02655576542019844,
-0.04243416711688042,
0.03969844803214073,
0.03507981449365616,
-0.02825790084898472,
-0.015722433105111122,
0.04411455988883972,
-0.0631888210773468,
-0.03453170508146286,
0.0030656049493700266,
-0.0029889000579714775,
-0.0474199540913105,
-0.008399236015975475,
0.06236767768859863,
-0.05248237028717995,
0.00711293937638402,
0.02948991395533085,
-0.021638549864292145,
0.07905858010053635,
0.006015988066792488,
-0.024880705401301384,
-0.04902922362089157,
-0.0762239545583725,
-0.00004032314973301254,
0.09144368022680283,
0.005250914022326469,
0.07863139361143112,
0.018544381484389305,
0.013093083165585995,
-0.03972211480140686,
-0.098951555788517,
-0.0064338878728449345,
-0.022844765335321426,
-0.0026609410997480154,
-0.0804501622915268,
-0.03038119524717331,
-0.06747015565633774,
0.1284364014863968,
-0.06726140528917313,
-0.001020454103127122,
0.05658048763871193,
0.0475720651447773,
-0.03150235861539841,
0.10973627120256424,
0.05670899152755737,
0.04084410518407822,
0.011441009119153023,
-0.01590990275144577,
0.03234458342194557,
0.09043890982866287,
0.021488767117261887,
-0.028811393305659294,
-0.05026496201753616,
0.060668691992759705,
-0.060007356107234955,
0.006988992914557457,
-0.05010979622602463,
0.01931357942521572,
-0.022564958781003952,
0.01534563209861517,
0.022281397134065628,
0.11185891181230545,
0.08112798631191254,
-0.01705167628824711,
0.03576383739709854,
-0.031259916722774506,
0.021013343706727028,
0.008959663100540638,
0.03707923740148544,
0.05062612518668175,
-0.010505210608243942,
0.054093215614557266,
0.029154790565371513,
-0.04016123339533806,
0.05606266111135483,
-0.018207868561148643,
-3.54404750946204e-34,
-0.04902341961860657,
-0.033045537769794464,
-0.06463715434074402,
-0.02737356536090374,
-0.06432008743286133,
-0.03999457135796547,
-0.04765911027789116,
-0.019352998584508896,
-0.0833100825548172,
0.05997580662369728,
-0.042970381677150726,
-0.013842134736478329,
0.07009783387184143,
0.0561705008149147,
0.04416666179895401,
0.012261766009032726,
-0.055507708340883255,
0.06510867178440094,
0.09814155101776123,
-0.028790997341275215,
0.020777827128767967,
0.002084107603877783,
0.03927110508084297,
0.02200634591281414,
0.03532291576266289,
-0.05010759457945824,
-0.039575736969709396,
-0.039611928164958954,
0.03148771449923515,
-0.026257531717419624,
-0.007498679216951132,
0.03591025993227959,
0.025252047926187515,
-0.011675585061311722,
-0.020971907302737236,
0.05970975384116173,
0.0426911786198616,
0.024092737585306168,
-0.032228734344244,
-0.031134631484746933,
-0.038371190428733826,
0.027979353442788124,
0.01910613663494587,
0.024479148909449577,
0.043212827295064926,
-0.022246306762099266,
-0.03188789263367653,
-0.02030085399746895,
-0.15059636533260345,
0.029198292642831802,
-0.0751342922449112,
-0.0015955481212586164,
-0.007233190815895796,
-0.08796823024749756,
-0.1021084114909172,
-0.04573655128479004,
-0.06164569780230522,
0.005583444144576788,
-0.06572607904672623,
0.06878156960010529,
0.07629185169935226,
-0.06376111507415771,
0.04149295389652252,
-0.028705062344670296,
0.007670458871871233,
0.041332535445690155,
-0.04543380066752434,
0.003556377487257123,
0.027918249368667603,
-0.03285149857401848,
-0.011228255927562714,
-0.03356355056166649,
0.08318914473056793,
-0.0022991469595581293,
0.0002898288075812161,
-0.025396201759576797,
0.1298089325428009,
0.029917174950242043,
-0.0005550389178097248,
-0.052869826555252075,
-0.057649772614240646,
-0.027736609801650047,
-0.009025000035762787,
0.02055760659277439,
-0.08714595437049866,
0.001509569468908012,
0.04731127619743347,
-0.05008950084447861,
0.054336175322532654,
-0.012038951739668846,
0.00322651001624763,
-0.012790712527930737,
0.027578596025705338,
-0.017482424154877663,
0.11809221655130386,
-1.8547195986403756e-33,
-0.02514752931892872,
-0.05266924202442169,
-0.0983196273446083,
-0.007586843334138393,
0.05899985879659653,
0.05187372863292694,
-0.07900326699018478,
-0.06500446796417236,
0.01807810552418232,
0.0051782261580228806,
-0.09188544750213623,
-0.01582278497517109,
0.08965665102005005,
0.0421164371073246,
-0.04873530566692352,
-0.015057316981256008,
0.040746238082647324,
-0.009775872342288494,
-0.035636428743600845,
0.04713670164346695,
0.11854884028434753,
-0.03825581446290016,
-0.027189895510673523,
0.044821761548519135,
0.14713512361049652,
0.04260288178920746,
-0.02235359698534012,
-0.07947777956724167,
-0.09248782694339752,
0.09957583993673325,
-0.0000752375417505391,
-0.10305751860141754,
-0.03745217248797417,
-0.023614607751369476,
0.028689714148640633,
-0.013242821209132671,
0.022238068282604218,
0.023214861750602722,
-0.04263243451714516,
0.09236890822649002,
-0.044712312519550323,
-0.15820522606372833,
-0.03578837215900421,
0.04713388904929161,
0.0372697114944458,
-0.023327277973294258,
0.05131625756621361,
-0.03754788264632225,
0.03212199732661247,
-0.004248075187206268,
0.06626500189304352,
0.038353223353624344,
-0.0360591895878315,
0.028847290202975273,
-0.027078235521912575,
-0.005216042976826429,
-0.04410702362656593,
0.015518388710916042,
0.10167458653450012,
-0.02808670699596405,
0.028630390763282776,
0.05153331905603409,
-0.015487739816308022,
0.06437770277261734,
0.02237136848270893,
0.017793329432606697,
-0.09133946150541306,
-0.015948951244354248,
-0.024753322824835777,
-0.03863251209259033,
-0.04753929004073143,
-0.007810608018189669,
0.04088958725333214,
0.09445429593324661,
0.0705060362815857,
0.09343570470809937,
-0.0336807519197464,
0.037169694900512695,
-0.03168392553925514,
-0.03437152877449989,
-0.00741547392681241,
0.028115376830101013,
0.05666232854127884,
0.025152668356895447,
-0.01171896979212761,
-0.013677985407412052,
0.0813000276684761,
0.004623196087777615,
-0.007842127233743668,
-0.07225118577480316,
0.0827808603644371,
-0.08074289560317993,
0.039884403347969055,
-0.01604912057518959,
-0.027480673044919968,
-5.168887895479202e-8,
0.002135297516360879,
-0.0059689003974199295,
-0.010725637897849083,
-0.05512887239456177,
-0.007969826459884644,
0.0167542714625597,
-0.013635077513754368,
-0.04645519331097603,
-0.018892690539360046,
0.035066619515419006,
0.03533267229795456,
0.10146623849868774,
0.010937280021607876,
0.015337096527218819,
-0.05017440766096115,
0.04901263862848282,
-0.08184710890054703,
-0.04052339866757393,
-0.04857182502746582,
0.05986544489860535,
-0.05056944116950035,
0.016270101070404053,
-0.07897842675447464,
-0.057874321937561035,
-0.00045362129458226264,
0.02719195745885372,
-0.023470601066946983,
0.06532343477010727,
0.048176396638154984,
0.03786490485072136,
-0.020808786153793335,
0.012081814929842949,
0.0030349104199558496,
-0.01973382569849491,
-0.01569686457514763,
0.04079141840338707,
0.024291042238473892,
0.031503111124038696,
-0.010692871175706387,
-0.018390009179711342,
-0.06886221468448639,
-0.03989984840154648,
-0.017743751406669617,
0.01230962760746479,
0.04850758612155914,
0.030986841768026352,
-0.1175255998969078,
0.025695201009511948,
-0.0020520994439721107,
-0.035575781017541885,
0.007009812630712986,
0.029013758525252342,
0.04210302606225014,
0.029292423278093338,
0.08786805719137192,
-0.02009410783648491,
0.007657948415726423,
-0.025930559262633324,
0.009569283574819565,
-0.027074690908193588,
0.005317094270139933,
0.08471105247735977,
-0.013276073150336742,
-0.061417847871780396
] | null | null | null | null | null | null | null | [
-0.005623180419206619,
0.07414066791534424,
-0.09234416484832764,
-0.032806698232889175,
-0.036577027291059494,
0.15502232313156128,
0.09134194254875183,
-0.06247851252555847,
0.06106288731098175,
0.04492976889014244,
0.010203048586845398,
0.04256703332066536,
0.04848477989435196,
0.06766873598098755,
0.03733537718653679,
-0.04054007679224014,
0.03714001923799515,
0.005054913926869631,
0.06581848859786987,
0.09731145948171616,
-0.031760964542627335,
-0.127771258354187,
-0.0070226057432591915,
-0.03825533390045166,
-0.05343717336654663,
-0.047207001596689224,
0.0019461531192064285,
0.03743062913417816,
-0.05622655153274536,
0.006330289877951145,
0.019195254892110825,
-0.012677064165472984,
0.11090771108865738,
0.048197533935308456,
-0.013853282667696476,
0.039736341685056686,
-0.11239404231309891,
-0.02994557097554207,
-0.057212699204683304,
0.042677246034145355,
-0.02866375260055065,
0.03326147049665451,
-0.031183212995529175,
0.0014610856305807829,
-0.06468269973993301,
-0.08839257061481476,
-0.010338546708226204,
0.028437765315175056,
-0.08249879628419876,
-0.07912890613079071,
-0.03188157454133034,
0.02655576542019844,
-0.04243416711688042,
0.03969844803214073,
0.03507981449365616,
-0.02825790084898472,
-0.015722433105111122,
0.04411455988883972,
-0.0631888210773468,
-0.03453170508146286,
0.0030656049493700266,
-0.0029889000579714775,
-0.0474199540913105,
-0.008399236015975475,
0.06236767768859863,
-0.05248237028717995,
0.00711293937638402,
0.02948991395533085,
-0.021638549864292145,
0.07905858010053635,
0.006015988066792488,
-0.024880705401301384,
-0.04902922362089157,
-0.0762239545583725,
-0.00004032314973301254,
0.09144368022680283,
0.005250914022326469,
0.07863139361143112,
0.018544381484389305,
0.013093083165585995,
-0.03972211480140686,
-0.098951555788517,
-0.0064338878728449345,
-0.022844765335321426,
-0.0026609410997480154,
-0.0804501622915268,
-0.03038119524717331,
-0.06747015565633774,
0.1284364014863968,
-0.06726140528917313,
-0.001020454103127122,
0.05658048763871193,
0.0475720651447773,
-0.03150235861539841,
0.10973627120256424,
0.05670899152755737,
0.04084410518407822,
0.011441009119153023,
-0.01590990275144577,
0.03234458342194557,
0.09043890982866287,
0.021488767117261887,
-0.028811393305659294,
-0.05026496201753616,
0.060668691992759705,
-0.060007356107234955,
0.006988992914557457,
-0.05010979622602463,
0.01931357942521572,
-0.022564958781003952,
0.01534563209861517,
0.022281397134065628,
0.11185891181230545,
0.08112798631191254,
-0.01705167628824711,
0.03576383739709854,
-0.031259916722774506,
0.021013343706727028,
0.008959663100540638,
0.03707923740148544,
0.05062612518668175,
-0.010505210608243942,
0.054093215614557266,
0.029154790565371513,
-0.04016123339533806,
0.05606266111135483,
-0.018207868561148643,
-3.54404750946204e-34,
-0.04902341961860657,
-0.033045537769794464,
-0.06463715434074402,
-0.02737356536090374,
-0.06432008743286133,
-0.03999457135796547,
-0.04765911027789116,
-0.019352998584508896,
-0.0833100825548172,
0.05997580662369728,
-0.042970381677150726,
-0.013842134736478329,
0.07009783387184143,
0.0561705008149147,
0.04416666179895401,
0.012261766009032726,
-0.055507708340883255,
0.06510867178440094,
0.09814155101776123,
-0.028790997341275215,
0.020777827128767967,
0.002084107603877783,
0.03927110508084297,
0.02200634591281414,
0.03532291576266289,
-0.05010759457945824,
-0.039575736969709396,
-0.039611928164958954,
0.03148771449923515,
-0.026257531717419624,
-0.007498679216951132,
0.03591025993227959,
0.025252047926187515,
-0.011675585061311722,
-0.020971907302737236,
0.05970975384116173,
0.0426911786198616,
0.024092737585306168,
-0.032228734344244,
-0.031134631484746933,
-0.038371190428733826,
0.027979353442788124,
0.01910613663494587,
0.024479148909449577,
0.043212827295064926,
-0.022246306762099266,
-0.03188789263367653,
-0.02030085399746895,
-0.15059636533260345,
0.029198292642831802,
-0.0751342922449112,
-0.0015955481212586164,
-0.007233190815895796,
-0.08796823024749756,
-0.1021084114909172,
-0.04573655128479004,
-0.06164569780230522,
0.005583444144576788,
-0.06572607904672623,
0.06878156960010529,
0.07629185169935226,
-0.06376111507415771,
0.04149295389652252,
-0.028705062344670296,
0.007670458871871233,
0.041332535445690155,
-0.04543380066752434,
0.003556377487257123,
0.027918249368667603,
-0.03285149857401848,
-0.011228255927562714,
-0.03356355056166649,
0.08318914473056793,
-0.0022991469595581293,
0.0002898288075812161,
-0.025396201759576797,
0.1298089325428009,
0.029917174950242043,
-0.0005550389178097248,
-0.052869826555252075,
-0.057649772614240646,
-0.027736609801650047,
-0.009025000035762787,
0.02055760659277439,
-0.08714595437049866,
0.001509569468908012,
0.04731127619743347,
-0.05008950084447861,
0.054336175322532654,
-0.012038951739668846,
0.00322651001624763,
-0.012790712527930737,
0.027578596025705338,
-0.017482424154877663,
0.11809221655130386,
-1.8547195986403756e-33,
-0.02514752931892872,
-0.05266924202442169,
-0.0983196273446083,
-0.007586843334138393,
0.05899985879659653,
0.05187372863292694,
-0.07900326699018478,
-0.06500446796417236,
0.01807810552418232,
0.0051782261580228806,
-0.09188544750213623,
-0.01582278497517109,
0.08965665102005005,
0.0421164371073246,
-0.04873530566692352,
-0.015057316981256008,
0.040746238082647324,
-0.009775872342288494,
-0.035636428743600845,
0.04713670164346695,
0.11854884028434753,
-0.03825581446290016,
-0.027189895510673523,
0.044821761548519135,
0.14713512361049652,
0.04260288178920746,
-0.02235359698534012,
-0.07947777956724167,
-0.09248782694339752,
0.09957583993673325,
-0.0000752375417505391,
-0.10305751860141754,
-0.03745217248797417,
-0.023614607751369476,
0.028689714148640633,
-0.013242821209132671,
0.022238068282604218,
0.023214861750602722,
-0.04263243451714516,
0.09236890822649002,
-0.044712312519550323,
-0.15820522606372833,
-0.03578837215900421,
0.04713388904929161,
0.0372697114944458,
-0.023327277973294258,
0.05131625756621361,
-0.03754788264632225,
0.03212199732661247,
-0.004248075187206268,
0.06626500189304352,
0.038353223353624344,
-0.0360591895878315,
0.028847290202975273,
-0.027078235521912575,
-0.005216042976826429,
-0.04410702362656593,
0.015518388710916042,
0.10167458653450012,
-0.02808670699596405,
0.028630390763282776,
0.05153331905603409,
-0.015487739816308022,
0.06437770277261734,
0.02237136848270893,
0.017793329432606697,
-0.09133946150541306,
-0.015948951244354248,
-0.024753322824835777,
-0.03863251209259033,
-0.04753929004073143,
-0.007810608018189669,
0.04088958725333214,
0.09445429593324661,
0.0705060362815857,
0.09343570470809937,
-0.0336807519197464,
0.037169694900512695,
-0.03168392553925514,
-0.03437152877449989,
-0.00741547392681241,
0.028115376830101013,
0.05666232854127884,
0.025152668356895447,
-0.01171896979212761,
-0.013677985407412052,
0.0813000276684761,
0.004623196087777615,
-0.007842127233743668,
-0.07225118577480316,
0.0827808603644371,
-0.08074289560317993,
0.039884403347969055,
-0.01604912057518959,
-0.027480673044919968,
-5.168887895479202e-8,
0.002135297516360879,
-0.0059689003974199295,
-0.010725637897849083,
-0.05512887239456177,
-0.007969826459884644,
0.0167542714625597,
-0.013635077513754368,
-0.04645519331097603,
-0.018892690539360046,
0.035066619515419006,
0.03533267229795456,
0.10146623849868774,
0.010937280021607876,
0.015337096527218819,
-0.05017440766096115,
0.04901263862848282,
-0.08184710890054703,
-0.04052339866757393,
-0.04857182502746582,
0.05986544489860535,
-0.05056944116950035,
0.016270101070404053,
-0.07897842675447464,
-0.057874321937561035,
-0.00045362129458226264,
0.02719195745885372,
-0.023470601066946983,
0.06532343477010727,
0.048176396638154984,
0.03786490485072136,
-0.020808786153793335,
0.012081814929842949,
0.0030349104199558496,
-0.01973382569849491,
-0.01569686457514763,
0.04079141840338707,
0.024291042238473892,
0.031503111124038696,
-0.010692871175706387,
-0.018390009179711342,
-0.06886221468448639,
-0.03989984840154648,
-0.017743751406669617,
0.01230962760746479,
0.04850758612155914,
0.030986841768026352,
-0.1175255998969078,
0.025695201009511948,
-0.0020520994439721107,
-0.035575781017541885,
0.007009812630712986,
0.029013758525252342,
0.04210302606225014,
0.029292423278093338,
0.08786805719137192,
-0.02009410783648491,
0.007657948415726423,
-0.025930559262633324,
0.009569283574819565,
-0.027074690908193588,
0.005317094270139933,
0.08471105247735977,
-0.013276073150336742,
-0.061417847871780396
] |
1401.1577 | Quan Quan | Quan Quan, Lu Jiang and Kai-Yuan Cai | Discrete-Time Output-Feedback Robust Repetitive Control for a Class of
Nonlinear Systems by Additive State Decomposition | 15 pages | null | null | null | cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The discrete-time robust repetitive control (RC, or repetitive controller,
also designated RC) problem for nonlinear systems is both challenging and
practical. This paper proposes a discrete-time output-feedback RC design for a
class of systems subject to measurable nonlinearities to track reference
robustly with respect to the period variation. The design relies on additive
state decomposition, by which the output-feedback RC problem is decomposed into
an output-feedback RC problem for a linear time-invariant system and a
state-feedback stabilization problem for a nonlinear system. Thanks to the
decomposition, existing controller design methods in both the frequency domain
and time domain can be employed to make the robustness and discretization for a
nonlinear system tractable. To demonstrate the effectiveness, an illustrative
example is given.
| [
{
"created": "Wed, 8 Jan 2014 04:22:47 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Quan",
"Quan",
""
],
[
"Jiang",
"Lu",
""
],
[
"Cai",
"Kai-Yuan",
""
]
] | [
-0.11126094311475754,
-0.022950029000639915,
-0.04780782759189606,
-0.01663394458591938,
-0.016818853095173836,
0.07770747691392899,
0.03808022662997246,
-0.004770020488649607,
0.01123733725398779,
0.05096800625324249,
-0.005844819825142622,
0.027912819758057594,
0.09790236502885818,
-0.010885409079492092,
-0.09602843970060349,
0.013247042894363403,
0.04547927901148796,
0.033725593239068985,
0.07503408938646317,
-0.025594845414161682,
0.060248151421546936,
0.08418340981006622,
0.05594277381896973,
0.0044142110273242,
-0.034172844141721725,
0.06529167294502258,
-0.10180143266916275,
0.032289013266563416,
-0.005128225777298212,
-0.056012652814388275,
-0.02894967421889305,
-0.05899103358387947,
0.008036896586418152,
-0.027761409059166908,
-0.028202589601278305,
-0.05317414179444313,
-0.04333784431219101,
0.04563237354159355,
-0.040009111166000366,
-0.0023819690104573965,
-0.007798976730555296,
0.06594327092170715,
0.06586473435163498,
-0.05086905136704445,
-0.002351864706724882,
-0.07686050236225128,
-0.022060714662075043,
-0.10074080526828766,
0.03412651643157005,
-0.006049863062798977,
0.08723555505275726,
0.04263826087117195,
0.13679717481136322,
-0.015967773273587227,
0.08386428654193878,
-0.062220167368650436,
-0.047320540994405746,
0.0287228524684906,
-0.043341025710105896,
-0.06658358871936798,
-0.007396918721497059,
0.01845666393637657,
0.0006865487084724009,
-0.012467319145798683,
0.01164531521499157,
0.0597391240298748,
-0.0803147703409195,
0.051608629524707794,
0.0620872937142849,
0.0591154582798481,
-0.03548923134803772,
0.011547146365046501,
0.012358644045889378,
0.006090766750276089,
0.06295605003833771,
-0.035962630063295364,
-0.01847473904490471,
-0.006081156432628632,
-0.030995739623904228,
0.08283191174268723,
0.004668746143579483,
-0.029426628723740578,
-0.0722929984331131,
-0.006039835512638092,
0.047348301857709885,
-0.043168310075998306,
0.018069835379719734,
0.05315505340695381,
0.11543542146682739,
0.025251736864447594,
-0.009022826328873634,
0.06803643703460693,
0.09044938534498215,
-0.023167042061686516,
-0.09159711748361588,
-0.03425197675824165,
0.09388625621795654,
0.0663941353559494,
0.05291011184453964,
-0.0010869338875636458,
-0.0495217964053154,
-0.06720125675201416,
0.03089095838367939,
0.0573333315551281,
-0.022796686738729477,
-0.043971769511699677,
-0.0026864511892199516,
0.0472634918987751,
0.01353973988443613,
-0.06541688740253448,
-0.0060361577197909355,
-0.05604240298271179,
-0.07847385853528976,
0.11208042502403259,
0.12154072523117065,
-0.08243504166603088,
0.09647981077432632,
-0.09962981939315796,
0.02093791961669922,
0.017389576882123947,
-0.0037884681951254606,
-0.053505733609199524,
0.002932280069217086,
0.04085753858089447,
0.0067067258059978485,
-0.005193668883293867,
0.08993136882781982,
-1.7097794921450567e-33,
-0.03646419569849968,
0.06950141489505768,
-0.02065144293010235,
-0.08148472756147385,
-0.01274577621370554,
0.011359739117324352,
0.013208283111453056,
-0.00038665803731419146,
0.017236659303307533,
0.016663236543536186,
0.0458986721932888,
-0.05571532994508743,
-0.053600117564201355,
0.04816317558288574,
-0.026190973818302155,
-0.01411677896976471,
0.06708350032567978,
0.02560427412390709,
0.0710495337843895,
-0.03167662397027016,
0.04328005388379097,
0.02732180990278721,
-0.012799748219549656,
-0.08582453429698944,
0.037467215210199356,
-0.03771539032459259,
-0.005417713895440102,
0.10221105813980103,
0.03602434694766998,
0.0012569320388138294,
0.0165546964854002,
0.056228961795568466,
-0.08223627507686615,
0.01872110553085804,
-0.009411009028553963,
0.017879800871014595,
0.08618766814470291,
0.04907378926873207,
-0.018012691289186478,
0.024450309574604034,
0.050652291625738144,
-0.05710640922188759,
-0.07014817744493484,
0.040946587920188904,
0.03161042928695679,
0.0559239536523819,
0.03336762636899948,
0.01562369242310524,
-0.10699030011892319,
0.029545262455940247,
-0.07316389679908752,
0.05319712311029434,
0.06281828880310059,
-0.0673232153058052,
0.016535893082618713,
-0.07348140329122543,
-0.08993319422006607,
-0.015657946467399597,
0.00668338080868125,
0.103037029504776,
0.0084798913449049,
-0.03849444165825844,
0.017607862129807472,
-0.02681121788918972,
-0.049175065010786057,
0.06280381977558136,
0.0032352530397474766,
0.0045525552704930305,
0.024987248703837395,
0.0017650400986894965,
0.021480565890669823,
-0.07821208983659744,
-0.020261237397789955,
-0.041455671191215515,
0.06054319441318512,
-0.08204889297485352,
0.06202833354473114,
-0.003442479530349374,
-0.04605579748749733,
-0.027325332164764404,
-0.05992191284894943,
-0.020813386887311935,
-0.023972438648343086,
0.034391675144433975,
-0.011945872567594051,
0.017296642065048218,
0.019035933539271355,
0.012749351561069489,
-0.05022859945893288,
-0.06130396947264671,
0.045960232615470886,
0.033287063241004944,
0.06111659109592438,
0.027026448398828506,
-0.004152050241827965,
-9.851332344466916e-34,
0.048690732568502426,
0.031939297914505005,
0.06725633144378662,
-0.00662104319781065,
-0.039213746786117554,
0.05285343900322914,
-0.0922526866197586,
0.03485829010605812,
-0.0002975590468849987,
-0.07063976675271988,
0.0013091766741126776,
-0.10839907824993134,
-0.03960752487182617,
0.05945834890007973,
-0.08474092185497284,
0.013497869484126568,
-0.029518576338887215,
-0.0013038595207035542,
0.0004452611901797354,
-0.0019195216009393334,
0.03606629744172096,
-0.05223727971315384,
-0.008105346001684666,
-0.05221046879887581,
0.022310636937618256,
0.05647505074739456,
-0.12891696393489838,
0.011295768432319164,
0.05575915053486824,
-0.024674277752637863,
-0.016215328127145767,
0.017485521733760834,
0.027641192078590393,
-0.030156105756759644,
-0.00802652444690466,
0.02889135293662548,
-0.061700232326984406,
0.05943502113223076,
0.0466892346739769,
0.09091532975435257,
-0.046546537429094315,
-0.09544506669044495,
0.019284026697278023,
0.042088571935892105,
0.0681850016117096,
-0.037738122045993805,
0.052180878818035126,
0.08112736791372299,
0.05334482714533806,
0.012824383564293385,
-0.008724122308194637,
-0.04088825359940529,
-0.05838397517800331,
0.010045818984508514,
-0.0335325226187706,
0.019157567992806435,
0.036667775362730026,
-0.019403360784053802,
0.05202677845954895,
-0.021373283118009567,
-0.05463465675711632,
-0.012350338511168957,
-0.08937207609415054,
0.06271665543317795,
0.010480116121470928,
-0.05892371013760567,
0.04994503781199455,
-0.09083393216133118,
-0.015233454294502735,
0.03737124055624008,
-0.0028037603478878736,
-0.00812791008502245,
0.06540875881910324,
0.030385809019207954,
0.028295105323195457,
-0.03795753791928291,
-0.002783161588013172,
-0.02883237414062023,
-0.011214111000299454,
0.03093411959707737,
-0.03983796760439873,
0.009282629936933517,
0.009785380214452744,
0.003803169121965766,
-0.15765056014060974,
0.034365203231573105,
0.017481187358498573,
-0.04479838162660599,
0.06853622198104858,
-0.01769085042178631,
-0.009595955722033978,
0.01277972012758255,
-0.06303419917821884,
0.06816903501749039,
0.060148511081933975,
-4.5682202909347325e-8,
-0.02204517461359501,
-0.005132958292961121,
-0.06638412922620773,
-0.008308008313179016,
0.00935039110481739,
-0.03708398714661598,
-0.03461136668920517,
-0.1710619479417801,
0.09513258188962936,
-0.07518325001001358,
0.03871386870741844,
0.020542697980999947,
0.02657179720699787,
-0.02490272745490074,
-0.09072480350732803,
0.012426747940480709,
0.025421643629670143,
0.04073991999030113,
0.02984711527824402,
0.03648001328110695,
-0.06160404160618782,
-0.006157322786748409,
-0.01821667142212391,
-0.05733756348490715,
0.041733965277671814,
-0.0009792763739824295,
-0.08728703111410141,
0.06471686065196991,
0.037093859165906906,
0.024728883057832718,
-0.022321240976452827,
0.07249163836240768,
0.04300897568464279,
0.0907796174287796,
-0.03222527727484703,
-0.09917973726987839,
0.003949628211557865,
-0.06264815479516983,
-0.0783105120062828,
-0.039093125611543655,
-0.021145150065422058,
0.03085300698876381,
-0.00841317605227232,
-0.03738461807370186,
0.043604426085948944,
0.02118193544447422,
-0.02476581558585167,
-0.04970776289701462,
-0.08000383526086807,
0.0027652981225401163,
-0.03507550060749054,
0.02712407335639,
0.05834124982357025,
0.028210634365677834,
0.03669247776269913,
0.03654803708195686,
0.0428326316177845,
-0.07685678452253342,
-0.07672949880361557,
0.01901320181787014,
-0.06995971500873566,
0.032662052661180496,
-0.023480281233787537,
-0.018484899774193764
] | null | null | null | null | null | null | null | [
-0.11126094311475754,
-0.022950029000639915,
-0.04780782759189606,
-0.01663394458591938,
-0.016818853095173836,
0.07770747691392899,
0.03808022662997246,
-0.004770020488649607,
0.01123733725398779,
0.05096800625324249,
-0.005844819825142622,
0.027912819758057594,
0.09790236502885818,
-0.010885409079492092,
-0.09602843970060349,
0.013247042894363403,
0.04547927901148796,
0.033725593239068985,
0.07503408938646317,
-0.025594845414161682,
0.060248151421546936,
0.08418340981006622,
0.05594277381896973,
0.0044142110273242,
-0.034172844141721725,
0.06529167294502258,
-0.10180143266916275,
0.032289013266563416,
-0.005128225777298212,
-0.056012652814388275,
-0.02894967421889305,
-0.05899103358387947,
0.008036896586418152,
-0.027761409059166908,
-0.028202589601278305,
-0.05317414179444313,
-0.04333784431219101,
0.04563237354159355,
-0.040009111166000366,
-0.0023819690104573965,
-0.007798976730555296,
0.06594327092170715,
0.06586473435163498,
-0.05086905136704445,
-0.002351864706724882,
-0.07686050236225128,
-0.022060714662075043,
-0.10074080526828766,
0.03412651643157005,
-0.006049863062798977,
0.08723555505275726,
0.04263826087117195,
0.13679717481136322,
-0.015967773273587227,
0.08386428654193878,
-0.062220167368650436,
-0.047320540994405746,
0.0287228524684906,
-0.043341025710105896,
-0.06658358871936798,
-0.007396918721497059,
0.01845666393637657,
0.0006865487084724009,
-0.012467319145798683,
0.01164531521499157,
0.0597391240298748,
-0.0803147703409195,
0.051608629524707794,
0.0620872937142849,
0.0591154582798481,
-0.03548923134803772,
0.011547146365046501,
0.012358644045889378,
0.006090766750276089,
0.06295605003833771,
-0.035962630063295364,
-0.01847473904490471,
-0.006081156432628632,
-0.030995739623904228,
0.08283191174268723,
0.004668746143579483,
-0.029426628723740578,
-0.0722929984331131,
-0.006039835512638092,
0.047348301857709885,
-0.043168310075998306,
0.018069835379719734,
0.05315505340695381,
0.11543542146682739,
0.025251736864447594,
-0.009022826328873634,
0.06803643703460693,
0.09044938534498215,
-0.023167042061686516,
-0.09159711748361588,
-0.03425197675824165,
0.09388625621795654,
0.0663941353559494,
0.05291011184453964,
-0.0010869338875636458,
-0.0495217964053154,
-0.06720125675201416,
0.03089095838367939,
0.0573333315551281,
-0.022796686738729477,
-0.043971769511699677,
-0.0026864511892199516,
0.0472634918987751,
0.01353973988443613,
-0.06541688740253448,
-0.0060361577197909355,
-0.05604240298271179,
-0.07847385853528976,
0.11208042502403259,
0.12154072523117065,
-0.08243504166603088,
0.09647981077432632,
-0.09962981939315796,
0.02093791961669922,
0.017389576882123947,
-0.0037884681951254606,
-0.053505733609199524,
0.002932280069217086,
0.04085753858089447,
0.0067067258059978485,
-0.005193668883293867,
0.08993136882781982,
-1.7097794921450567e-33,
-0.03646419569849968,
0.06950141489505768,
-0.02065144293010235,
-0.08148472756147385,
-0.01274577621370554,
0.011359739117324352,
0.013208283111453056,
-0.00038665803731419146,
0.017236659303307533,
0.016663236543536186,
0.0458986721932888,
-0.05571532994508743,
-0.053600117564201355,
0.04816317558288574,
-0.026190973818302155,
-0.01411677896976471,
0.06708350032567978,
0.02560427412390709,
0.0710495337843895,
-0.03167662397027016,
0.04328005388379097,
0.02732180990278721,
-0.012799748219549656,
-0.08582453429698944,
0.037467215210199356,
-0.03771539032459259,
-0.005417713895440102,
0.10221105813980103,
0.03602434694766998,
0.0012569320388138294,
0.0165546964854002,
0.056228961795568466,
-0.08223627507686615,
0.01872110553085804,
-0.009411009028553963,
0.017879800871014595,
0.08618766814470291,
0.04907378926873207,
-0.018012691289186478,
0.024450309574604034,
0.050652291625738144,
-0.05710640922188759,
-0.07014817744493484,
0.040946587920188904,
0.03161042928695679,
0.0559239536523819,
0.03336762636899948,
0.01562369242310524,
-0.10699030011892319,
0.029545262455940247,
-0.07316389679908752,
0.05319712311029434,
0.06281828880310059,
-0.0673232153058052,
0.016535893082618713,
-0.07348140329122543,
-0.08993319422006607,
-0.015657946467399597,
0.00668338080868125,
0.103037029504776,
0.0084798913449049,
-0.03849444165825844,
0.017607862129807472,
-0.02681121788918972,
-0.049175065010786057,
0.06280381977558136,
0.0032352530397474766,
0.0045525552704930305,
0.024987248703837395,
0.0017650400986894965,
0.021480565890669823,
-0.07821208983659744,
-0.020261237397789955,
-0.041455671191215515,
0.06054319441318512,
-0.08204889297485352,
0.06202833354473114,
-0.003442479530349374,
-0.04605579748749733,
-0.027325332164764404,
-0.05992191284894943,
-0.020813386887311935,
-0.023972438648343086,
0.034391675144433975,
-0.011945872567594051,
0.017296642065048218,
0.019035933539271355,
0.012749351561069489,
-0.05022859945893288,
-0.06130396947264671,
0.045960232615470886,
0.033287063241004944,
0.06111659109592438,
0.027026448398828506,
-0.004152050241827965,
-9.851332344466916e-34,
0.048690732568502426,
0.031939297914505005,
0.06725633144378662,
-0.00662104319781065,
-0.039213746786117554,
0.05285343900322914,
-0.0922526866197586,
0.03485829010605812,
-0.0002975590468849987,
-0.07063976675271988,
0.0013091766741126776,
-0.10839907824993134,
-0.03960752487182617,
0.05945834890007973,
-0.08474092185497284,
0.013497869484126568,
-0.029518576338887215,
-0.0013038595207035542,
0.0004452611901797354,
-0.0019195216009393334,
0.03606629744172096,
-0.05223727971315384,
-0.008105346001684666,
-0.05221046879887581,
0.022310636937618256,
0.05647505074739456,
-0.12891696393489838,
0.011295768432319164,
0.05575915053486824,
-0.024674277752637863,
-0.016215328127145767,
0.017485521733760834,
0.027641192078590393,
-0.030156105756759644,
-0.00802652444690466,
0.02889135293662548,
-0.061700232326984406,
0.05943502113223076,
0.0466892346739769,
0.09091532975435257,
-0.046546537429094315,
-0.09544506669044495,
0.019284026697278023,
0.042088571935892105,
0.0681850016117096,
-0.037738122045993805,
0.052180878818035126,
0.08112736791372299,
0.05334482714533806,
0.012824383564293385,
-0.008724122308194637,
-0.04088825359940529,
-0.05838397517800331,
0.010045818984508514,
-0.0335325226187706,
0.019157567992806435,
0.036667775362730026,
-0.019403360784053802,
0.05202677845954895,
-0.021373283118009567,
-0.05463465675711632,
-0.012350338511168957,
-0.08937207609415054,
0.06271665543317795,
0.010480116121470928,
-0.05892371013760567,
0.04994503781199455,
-0.09083393216133118,
-0.015233454294502735,
0.03737124055624008,
-0.0028037603478878736,
-0.00812791008502245,
0.06540875881910324,
0.030385809019207954,
0.028295105323195457,
-0.03795753791928291,
-0.002783161588013172,
-0.02883237414062023,
-0.011214111000299454,
0.03093411959707737,
-0.03983796760439873,
0.009282629936933517,
0.009785380214452744,
0.003803169121965766,
-0.15765056014060974,
0.034365203231573105,
0.017481187358498573,
-0.04479838162660599,
0.06853622198104858,
-0.01769085042178631,
-0.009595955722033978,
0.01277972012758255,
-0.06303419917821884,
0.06816903501749039,
0.060148511081933975,
-4.5682202909347325e-8,
-0.02204517461359501,
-0.005132958292961121,
-0.06638412922620773,
-0.008308008313179016,
0.00935039110481739,
-0.03708398714661598,
-0.03461136668920517,
-0.1710619479417801,
0.09513258188962936,
-0.07518325001001358,
0.03871386870741844,
0.020542697980999947,
0.02657179720699787,
-0.02490272745490074,
-0.09072480350732803,
0.012426747940480709,
0.025421643629670143,
0.04073991999030113,
0.02984711527824402,
0.03648001328110695,
-0.06160404160618782,
-0.006157322786748409,
-0.01821667142212391,
-0.05733756348490715,
0.041733965277671814,
-0.0009792763739824295,
-0.08728703111410141,
0.06471686065196991,
0.037093859165906906,
0.024728883057832718,
-0.022321240976452827,
0.07249163836240768,
0.04300897568464279,
0.0907796174287796,
-0.03222527727484703,
-0.09917973726987839,
0.003949628211557865,
-0.06264815479516983,
-0.0783105120062828,
-0.039093125611543655,
-0.021145150065422058,
0.03085300698876381,
-0.00841317605227232,
-0.03738461807370186,
0.043604426085948944,
0.02118193544447422,
-0.02476581558585167,
-0.04970776289701462,
-0.08000383526086807,
0.0027652981225401163,
-0.03507550060749054,
0.02712407335639,
0.05834124982357025,
0.028210634365677834,
0.03669247776269913,
0.03654803708195686,
0.0428326316177845,
-0.07685678452253342,
-0.07672949880361557,
0.01901320181787014,
-0.06995971500873566,
0.032662052661180496,
-0.023480281233787537,
-0.018484899774193764
] |
1401.1580 | Quan Quan | Quan Quan and Kai-Yuan Cai | A New Causal Ideal Internal Dynamics Generator | 16 pages | International Journal of Robust and Nonlinear Control. 2017,
27(12):2086-2101 | 10.1002/rnc.3672 | null | cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The design of ideal internal dynamics (IID) generators, namely solving IID,
is a fundamental problem, which is a key step to handle the nonminimum-phase
output tracking problem. In this paper, for a class of unstable matrix
differential equations, a new causal dynamic IID generator is proposed, whose
parameters are partly chosen via H_2/H_inf optimization. Compared with existing
similar generators, it is applicable to matrix differential equations with
singular system matrices and is easily extended to slowly time-varying matrix
differential equations without extra computation.
| [
{
"created": "Wed, 8 Jan 2014 04:45:52 GMT",
"version": "v1"
}
] | 2020-03-10 | [
[
"Quan",
"Quan",
""
],
[
"Cai",
"Kai-Yuan",
""
]
] | [
-0.07434861361980438,
0.03385625034570694,
-0.06801988929510117,
0.029972782358527184,
0.021043702960014343,
-0.016971880570054054,
-0.060712780803442,
-0.02339661866426468,
0.03161429241299629,
0.03779331594705582,
0.040104858577251434,
0.0034693635534495115,
-0.004647877532988787,
-0.056211866438388824,
-0.07864625751972198,
0.05395862087607384,
0.03416438773274422,
0.013581434264779091,
0.03619813919067383,
-0.012712892144918442,
-0.0008075994555838406,
0.05684472620487213,
-0.03661379590630531,
0.02376995049417019,
-0.14301763474941254,
-0.005565292667597532,
0.008612491190433502,
0.02330407127737999,
-0.0030406469013541937,
-0.05241783335804939,
0.003595018060877919,
0.03432924300432205,
-0.11665187776088715,
-0.0901208370923996,
-0.016457539051771164,
0.02168118581175804,
0.08623911440372467,
0.04364922642707825,
0.0013782376190647483,
-0.02433551289141178,
0.07216408848762512,
0.14382785558700562,
0.0628589317202568,
0.052776169031858444,
0.07042471319437027,
-0.0777512863278389,
-0.031697843223810196,
-0.018345056101679802,
-0.014112873934209347,
0.022902199998497963,
-0.0532672218978405,
0.027987753972411156,
0.054571665823459625,
-0.1104946881532669,
-0.0010603104019537568,
-0.11596024036407471,
0.03958957642316818,
0.06244153529405594,
-0.007870344445109367,
0.009675676934421062,
0.016829662024974823,
-0.004406734835356474,
0.10686332732439041,
-0.05008673667907715,
-0.02901781164109707,
-0.01888696290552616,
0.016704287379980087,
0.09807700663805008,
-0.042211782187223434,
-0.00919211097061634,
-0.10220459848642349,
-0.055850639939308167,
-0.032159239053726196,
-0.05480470880866051,
0.04945281520485878,
-0.08867646008729935,
0.018040359020233154,
-0.05419322848320007,
0.016160473227500916,
0.08669831603765488,
0.09332698583602905,
-0.014725669287145138,
-0.033701103180646896,
-0.010800960473716259,
-0.03722229599952698,
-0.018305599689483643,
0.019064920023083687,
0.001428829738870263,
0.09158100932836533,
0.01447643805295229,
-0.011487558484077454,
-0.02878723293542862,
0.04642755165696144,
-0.04344511777162552,
0.03976735100150108,
-0.006893073208630085,
-0.009042968042194843,
0.10163120180368423,
0.0639365091919899,
-0.00575657794252038,
0.0673520490527153,
-0.01517163123935461,
-0.015861976891756058,
0.11202424019575119,
-0.004950671922415495,
0.000011167507182108238,
0.06864723563194275,
0.08249513804912567,
-0.0004502102383412421,
-0.008926047943532467,
0.026628535240888596,
-0.05037723109126091,
-0.02125566452741623,
-0.014798343181610107,
0.04921853542327881,
0.034183550626039505,
0.07514577358961105,
-0.013482247479259968,
0.07968894392251968,
-0.0178108848631382,
-0.011488602496683598,
-0.03603007271885872,
0.060642797499895096,
-0.004238732624799013,
0.02788691408932209,
0.04077795892953873,
-0.0329214408993721,
9.079175130584458e-35,
-0.07128296047449112,
-0.009068194776773453,
-0.02082384191453457,
-0.04560796916484833,
-0.031189875677227974,
0.0023306666407734156,
0.06410381942987442,
-0.03756594657897949,
0.05049807205796242,
-0.04133830592036247,
0.027338674291968346,
-0.03028401918709278,
-0.04877479374408722,
0.011453015729784966,
-0.02437199279665947,
-0.07118663191795349,
0.014356158673763275,
-0.0035377521999180317,
-0.05766589567065239,
-0.07932506501674652,
0.026745865121483803,
0.01017418596893549,
-0.05721031874418259,
-0.07105953246355057,
0.05963075906038284,
0.04667388275265694,
0.08764330297708511,
0.04170059412717819,
0.013650700449943542,
-0.009017501957714558,
0.06603845208883286,
-0.023641126230359077,
-0.036777667701244354,
0.08540645986795425,
-0.03890610858798027,
-0.01255535613745451,
0.0020313605200499296,
0.002887051086872816,
0.10112739354372025,
-0.032612524926662445,
-0.024532191455364227,
0.03385075554251671,
0.02296419069170952,
0.009865259751677513,
-0.0978657528758049,
0.00905205775052309,
0.07718612998723984,
0.10550834983587265,
-0.04879922792315483,
-0.11003834009170532,
-0.027917135506868362,
0.044687669724226,
-0.0006643932429142296,
-0.08656073361635208,
0.06669411063194275,
-0.01467446330934763,
0.008039928041398525,
-0.05641644448041916,
0.027751462534070015,
0.0802423506975174,
-0.0656132847070694,
-0.09215759485960007,
-0.03289252519607544,
-0.07203067094087601,
0.04308903589844704,
0.04194333776831627,
0.03806544095277786,
-0.05126501992344856,
0.07519688457250595,
-0.05611192807555199,
0.08013413846492767,
-0.022699618712067604,
0.07921687513589859,
-0.04886831343173981,
0.023790527135133743,
-0.07216265052556992,
0.041469063609838486,
0.05055411159992218,
-0.08936794847249985,
0.010666469112038612,
0.0034899788442999125,
0.0057397447526454926,
-0.015434586443006992,
0.06967052072286606,
0.058860719203948975,
0.03726271539926529,
-0.010571025311946869,
0.012055080384016037,
-0.04109184816479683,
0.0018569461535662413,
-0.0011662727920338511,
0.0020115654915571213,
0.04988706111907959,
0.04094812646508217,
-0.042303867638111115,
-2.053929707919267e-33,
0.008809609338641167,
0.059616342186927795,
-0.01351869385689497,
-0.11440683901309967,
0.03684380650520325,
-0.012322477996349335,
-0.037579432129859924,
0.002442775759845972,
0.08264483511447906,
0.008993342518806458,
0.027103673666715622,
-0.04795369133353233,
-0.10111589729785919,
0.038641784340143204,
0.046810347586870193,
-0.0004664628067985177,
0.0231994166970253,
-0.04509982839226723,
-0.015661505982279778,
-0.10167818516492844,
-0.032926782965660095,
0.029941843822598457,
0.047662559896707535,
0.03005743771791458,
0.009105212055146694,
0.011454879306256771,
-0.028666378930211067,
0.05639579892158508,
-0.03255821019411087,
0.06690999865531921,
-0.09700385481119156,
-0.020955685526132584,
-0.052758682519197464,
0.10737361758947372,
-0.031541064381599426,
0.06175549328327179,
-0.014469311572611332,
-0.0970790758728981,
0.00042014208156615496,
0.10245682299137115,
-0.10273534059524536,
0.050482381135225296,
-0.02194768190383911,
0.06393184512853622,
0.0031671482138335705,
0.025101814419031143,
-0.057961881160736084,
0.12449019402265549,
0.016646381467580795,
0.028765730559825897,
-0.04081816226243973,
-0.014339708723127842,
0.00024289854627568275,
0.0018705384572967887,
-0.0798569843173027,
-0.022096026688814163,
0.006219151429831982,
0.048745155334472656,
-0.043703094124794006,
0.02392776496708393,
-0.05873579904437065,
-0.048185236752033234,
-0.04758187383413315,
-0.06505119055509567,
-0.06400655210018158,
-0.05107360705733299,
-0.02496448904275894,
-0.05071018263697624,
0.06421169638633728,
0.056371863931417465,
-0.01700856350362301,
0.008498928509652615,
0.013194115832448006,
0.00205543776974082,
0.07348068058490753,
-0.011030972935259342,
-0.023995429277420044,
-0.008620506152510643,
0.05831172689795494,
-0.05840463191270828,
-0.04429437592625618,
0.016196075826883316,
0.007333661429584026,
0.05737987160682678,
-0.07794060558080673,
-0.04513482004404068,
-0.004394685849547386,
-0.007805779576301575,
0.026035182178020477,
-0.014998185448348522,
0.021970121189951897,
-0.018390577286481857,
0.016176307573914528,
0.0877283588051796,
-0.051003411412239075,
-3.868921538696668e-8,
0.01304789911955595,
-0.011538418009877205,
0.01631445437669754,
-0.002974575385451317,
0.007782989647239447,
0.0027923157904297113,
-0.05624297633767128,
-0.07407516986131668,
0.14215822517871857,
0.04040733352303505,
-0.019763333722949028,
-0.01901872642338276,
0.0016410188982263207,
-0.05431388318538666,
-0.10865022987127304,
-0.022404244169592857,
-0.018808720633387566,
0.02233424223959446,
0.0007930819410830736,
-0.0978986918926239,
-0.0027753503527492285,
0.034252479672431946,
-0.10212356597185135,
0.02676030993461609,
-0.05783524364233017,
-0.04869317635893822,
0.02241886965930462,
-0.09080152213573456,
0.05668126419186592,
0.06250324845314026,
-0.0794457420706749,
0.07362068444490433,
-0.03129065781831741,
0.0847424566745758,
0.02065054327249527,
0.030720192939043045,
0.0735933929681778,
0.002286952454596758,
-0.06683757156133652,
-0.011362627148628235,
0.050748251378536224,
0.06418229639530182,
-0.05827648565173149,
-0.005925057455897331,
0.016490183770656586,
0.023134350776672363,
-0.04434913769364357,
-0.05731229856610298,
-0.021299732849001884,
0.016359880566596985,
0.02093816176056862,
0.0080048106610775,
-0.005471657961606979,
0.022466160356998444,
0.06958972662687302,
-0.04472435638308525,
0.05210527777671814,
-0.03817033767700195,
-0.012009993195533752,
0.047717370092868805,
0.010655506514012814,
0.08875962346792221,
0.04287425056099892,
0.016814325004816055
] | null | null | null | null | null | null | null | [
-0.07434861361980438,
0.03385625034570694,
-0.06801988929510117,
0.029972782358527184,
0.021043702960014343,
-0.016971880570054054,
-0.060712780803442,
-0.02339661866426468,
0.03161429241299629,
0.03779331594705582,
0.040104858577251434,
0.0034693635534495115,
-0.004647877532988787,
-0.056211866438388824,
-0.07864625751972198,
0.05395862087607384,
0.03416438773274422,
0.013581434264779091,
0.03619813919067383,
-0.012712892144918442,
-0.0008075994555838406,
0.05684472620487213,
-0.03661379590630531,
0.02376995049417019,
-0.14301763474941254,
-0.005565292667597532,
0.008612491190433502,
0.02330407127737999,
-0.0030406469013541937,
-0.05241783335804939,
0.003595018060877919,
0.03432924300432205,
-0.11665187776088715,
-0.0901208370923996,
-0.016457539051771164,
0.02168118581175804,
0.08623911440372467,
0.04364922642707825,
0.0013782376190647483,
-0.02433551289141178,
0.07216408848762512,
0.14382785558700562,
0.0628589317202568,
0.052776169031858444,
0.07042471319437027,
-0.0777512863278389,
-0.031697843223810196,
-0.018345056101679802,
-0.014112873934209347,
0.022902199998497963,
-0.0532672218978405,
0.027987753972411156,
0.054571665823459625,
-0.1104946881532669,
-0.0010603104019537568,
-0.11596024036407471,
0.03958957642316818,
0.06244153529405594,
-0.007870344445109367,
0.009675676934421062,
0.016829662024974823,
-0.004406734835356474,
0.10686332732439041,
-0.05008673667907715,
-0.02901781164109707,
-0.01888696290552616,
0.016704287379980087,
0.09807700663805008,
-0.042211782187223434,
-0.00919211097061634,
-0.10220459848642349,
-0.055850639939308167,
-0.032159239053726196,
-0.05480470880866051,
0.04945281520485878,
-0.08867646008729935,
0.018040359020233154,
-0.05419322848320007,
0.016160473227500916,
0.08669831603765488,
0.09332698583602905,
-0.014725669287145138,
-0.033701103180646896,
-0.010800960473716259,
-0.03722229599952698,
-0.018305599689483643,
0.019064920023083687,
0.001428829738870263,
0.09158100932836533,
0.01447643805295229,
-0.011487558484077454,
-0.02878723293542862,
0.04642755165696144,
-0.04344511777162552,
0.03976735100150108,
-0.006893073208630085,
-0.009042968042194843,
0.10163120180368423,
0.0639365091919899,
-0.00575657794252038,
0.0673520490527153,
-0.01517163123935461,
-0.015861976891756058,
0.11202424019575119,
-0.004950671922415495,
0.000011167507182108238,
0.06864723563194275,
0.08249513804912567,
-0.0004502102383412421,
-0.008926047943532467,
0.026628535240888596,
-0.05037723109126091,
-0.02125566452741623,
-0.014798343181610107,
0.04921853542327881,
0.034183550626039505,
0.07514577358961105,
-0.013482247479259968,
0.07968894392251968,
-0.0178108848631382,
-0.011488602496683598,
-0.03603007271885872,
0.060642797499895096,
-0.004238732624799013,
0.02788691408932209,
0.04077795892953873,
-0.0329214408993721,
9.079175130584458e-35,
-0.07128296047449112,
-0.009068194776773453,
-0.02082384191453457,
-0.04560796916484833,
-0.031189875677227974,
0.0023306666407734156,
0.06410381942987442,
-0.03756594657897949,
0.05049807205796242,
-0.04133830592036247,
0.027338674291968346,
-0.03028401918709278,
-0.04877479374408722,
0.011453015729784966,
-0.02437199279665947,
-0.07118663191795349,
0.014356158673763275,
-0.0035377521999180317,
-0.05766589567065239,
-0.07932506501674652,
0.026745865121483803,
0.01017418596893549,
-0.05721031874418259,
-0.07105953246355057,
0.05963075906038284,
0.04667388275265694,
0.08764330297708511,
0.04170059412717819,
0.013650700449943542,
-0.009017501957714558,
0.06603845208883286,
-0.023641126230359077,
-0.036777667701244354,
0.08540645986795425,
-0.03890610858798027,
-0.01255535613745451,
0.0020313605200499296,
0.002887051086872816,
0.10112739354372025,
-0.032612524926662445,
-0.024532191455364227,
0.03385075554251671,
0.02296419069170952,
0.009865259751677513,
-0.0978657528758049,
0.00905205775052309,
0.07718612998723984,
0.10550834983587265,
-0.04879922792315483,
-0.11003834009170532,
-0.027917135506868362,
0.044687669724226,
-0.0006643932429142296,
-0.08656073361635208,
0.06669411063194275,
-0.01467446330934763,
0.008039928041398525,
-0.05641644448041916,
0.027751462534070015,
0.0802423506975174,
-0.0656132847070694,
-0.09215759485960007,
-0.03289252519607544,
-0.07203067094087601,
0.04308903589844704,
0.04194333776831627,
0.03806544095277786,
-0.05126501992344856,
0.07519688457250595,
-0.05611192807555199,
0.08013413846492767,
-0.022699618712067604,
0.07921687513589859,
-0.04886831343173981,
0.023790527135133743,
-0.07216265052556992,
0.041469063609838486,
0.05055411159992218,
-0.08936794847249985,
0.010666469112038612,
0.0034899788442999125,
0.0057397447526454926,
-0.015434586443006992,
0.06967052072286606,
0.058860719203948975,
0.03726271539926529,
-0.010571025311946869,
0.012055080384016037,
-0.04109184816479683,
0.0018569461535662413,
-0.0011662727920338511,
0.0020115654915571213,
0.04988706111907959,
0.04094812646508217,
-0.042303867638111115,
-2.053929707919267e-33,
0.008809609338641167,
0.059616342186927795,
-0.01351869385689497,
-0.11440683901309967,
0.03684380650520325,
-0.012322477996349335,
-0.037579432129859924,
0.002442775759845972,
0.08264483511447906,
0.008993342518806458,
0.027103673666715622,
-0.04795369133353233,
-0.10111589729785919,
0.038641784340143204,
0.046810347586870193,
-0.0004664628067985177,
0.0231994166970253,
-0.04509982839226723,
-0.015661505982279778,
-0.10167818516492844,
-0.032926782965660095,
0.029941843822598457,
0.047662559896707535,
0.03005743771791458,
0.009105212055146694,
0.011454879306256771,
-0.028666378930211067,
0.05639579892158508,
-0.03255821019411087,
0.06690999865531921,
-0.09700385481119156,
-0.020955685526132584,
-0.052758682519197464,
0.10737361758947372,
-0.031541064381599426,
0.06175549328327179,
-0.014469311572611332,
-0.0970790758728981,
0.00042014208156615496,
0.10245682299137115,
-0.10273534059524536,
0.050482381135225296,
-0.02194768190383911,
0.06393184512853622,
0.0031671482138335705,
0.025101814419031143,
-0.057961881160736084,
0.12449019402265549,
0.016646381467580795,
0.028765730559825897,
-0.04081816226243973,
-0.014339708723127842,
0.00024289854627568275,
0.0018705384572967887,
-0.0798569843173027,
-0.022096026688814163,
0.006219151429831982,
0.048745155334472656,
-0.043703094124794006,
0.02392776496708393,
-0.05873579904437065,
-0.048185236752033234,
-0.04758187383413315,
-0.06505119055509567,
-0.06400655210018158,
-0.05107360705733299,
-0.02496448904275894,
-0.05071018263697624,
0.06421169638633728,
0.056371863931417465,
-0.01700856350362301,
0.008498928509652615,
0.013194115832448006,
0.00205543776974082,
0.07348068058490753,
-0.011030972935259342,
-0.023995429277420044,
-0.008620506152510643,
0.05831172689795494,
-0.05840463191270828,
-0.04429437592625618,
0.016196075826883316,
0.007333661429584026,
0.05737987160682678,
-0.07794060558080673,
-0.04513482004404068,
-0.004394685849547386,
-0.007805779576301575,
0.026035182178020477,
-0.014998185448348522,
0.021970121189951897,
-0.018390577286481857,
0.016176307573914528,
0.0877283588051796,
-0.051003411412239075,
-3.868921538696668e-8,
0.01304789911955595,
-0.011538418009877205,
0.01631445437669754,
-0.002974575385451317,
0.007782989647239447,
0.0027923157904297113,
-0.05624297633767128,
-0.07407516986131668,
0.14215822517871857,
0.04040733352303505,
-0.019763333722949028,
-0.01901872642338276,
0.0016410188982263207,
-0.05431388318538666,
-0.10865022987127304,
-0.022404244169592857,
-0.018808720633387566,
0.02233424223959446,
0.0007930819410830736,
-0.0978986918926239,
-0.0027753503527492285,
0.034252479672431946,
-0.10212356597185135,
0.02676030993461609,
-0.05783524364233017,
-0.04869317635893822,
0.02241886965930462,
-0.09080152213573456,
0.05668126419186592,
0.06250324845314026,
-0.0794457420706749,
0.07362068444490433,
-0.03129065781831741,
0.0847424566745758,
0.02065054327249527,
0.030720192939043045,
0.0735933929681778,
0.002286952454596758,
-0.06683757156133652,
-0.011362627148628235,
0.050748251378536224,
0.06418229639530182,
-0.05827648565173149,
-0.005925057455897331,
0.016490183770656586,
0.023134350776672363,
-0.04434913769364357,
-0.05731229856610298,
-0.021299732849001884,
0.016359880566596985,
0.02093816176056862,
0.0080048106610775,
-0.005471657961606979,
0.022466160356998444,
0.06958972662687302,
-0.04472435638308525,
0.05210527777671814,
-0.03817033767700195,
-0.012009993195533752,
0.047717370092868805,
0.010655506514012814,
0.08875962346792221,
0.04287425056099892,
0.016814325004816055
] |
1401.1587 | Byungjoon Min | Byungjoon Min and K.-I. Goh | Multiple resource demands and viability in multiplex networks | 4 pages, 3 figures, accepted for publication in Phys. Rev. E | Phys. Rev. E 89, 040802(R) (2014) | 10.1103/PhysRevE.89.040802 | null | physics.soc-ph cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many complex systems demand manifold resources to be supplied from distinct
channels to function properly, i.e, water, gas, and electricity for a city.
Here, we study a model for viability of such systems demanding more than one
type of vital resources produced and distributed by resource nodes in multiplex
networks. We found a rich variety of behaviors such as discontinuity,
bistability, and hysteresis in the fraction of viable nodes with respect to the
density of networks and the fraction of resource nodes. Our result suggests
that viability in multiplex networks is not only exposed to the risk of abrupt
collapse but also suffers excessive complication in recovery.
| [
{
"created": "Wed, 8 Jan 2014 06:03:30 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Apr 2014 02:41:09 GMT",
"version": "v2"
}
] | 2014-05-02 | [
[
"Min",
"Byungjoon",
""
],
[
"Goh",
"K. -I.",
""
]
] | [
0.024316223338246346,
0.003917374182492495,
0.021834030747413635,
0.005910099018365145,
0.045486681163311005,
-0.05991276353597641,
0.025260046124458313,
0.02359779365360737,
0.002816565800458193,
-0.007625402417033911,
-0.05989689379930496,
0.060310058295726776,
0.08227155357599258,
0.02487015537917614,
0.014914902858436108,
-0.024957425892353058,
0.00811338983476162,
-0.07872305810451508,
-0.049189358949661255,
0.008346970193088055,
0.0700058862566948,
-0.0402853824198246,
-0.05092610791325569,
-0.050132375210523605,
-0.01826162077486515,
-0.0010844685602933168,
0.0026311641559004784,
0.015302285552024841,
-0.003020866308361292,
-0.06203916296362877,
-0.0009794228244572878,
-0.007420776411890984,
-0.015563368797302246,
-0.06898848712444305,
-0.021538546308875084,
0.11750919371843338,
-0.06646184623241425,
-0.04637548327445984,
0.020043162629008293,
0.0652543157339096,
0.0183483324944973,
0.03218897804617882,
-0.03551767021417618,
0.034361790865659714,
-0.016239995136857033,
-0.06468319147825241,
-0.0011820278596132994,
-0.0058650909923017025,
-0.0068086180835962296,
-0.03406214714050293,
0.00016541588411200792,
-0.058791596442461014,
0.06144774705171585,
0.052580103278160095,
0.07709302008152008,
0.009655358269810677,
-0.034706149250268936,
0.02769535966217518,
-0.051659975200891495,
-0.049463510513305664,
0.10656744986772537,
-0.023807605728507042,
-0.005984609015285969,
-0.01610478386282921,
0.1569007784128189,
0.1345180720090866,
-0.03475465998053551,
0.05127449333667755,
-0.04607721045613289,
0.009221123531460762,
0.02396606095135212,
-0.05935629829764366,
-0.06836393475532532,
-0.05128438398241997,
0.10719560831785202,
0.024243125692009926,
0.034321676939725876,
0.0061816019006073475,
-0.023713886737823486,
0.03692670166492462,
-0.008432521484792233,
-0.017039837315678596,
-0.08147141337394714,
-0.07687236368656158,
-0.0467396005988121,
-0.019413353875279427,
-0.05197705328464508,
-0.06516421586275101,
0.1168128252029419,
-0.0664292722940445,
-0.05786735564470291,
0.11655958741903305,
0.040902260690927505,
0.05703182518482208,
0.04629869386553764,
-0.018782760947942734,
0.022549573332071304,
-0.04969790577888489,
0.006374388467520475,
0.03133220598101616,
-0.003962739370763302,
-0.03092460334300995,
0.061928488314151764,
0.014049449935555458,
0.027408111840486526,
-0.04607323184609413,
0.02438318356871605,
0.04079904034733772,
0.028120355680584908,
0.00011359705968061462,
-0.02895064279437065,
0.007783889304846525,
0.004476330708712339,
0.08297450840473175,
-0.014531660825014114,
-0.000912017363589257,
0.0318395271897316,
-0.026494236662983894,
0.06735668331384659,
-0.02239593118429184,
-0.03248041868209839,
-0.09323318302631378,
-0.00847393274307251,
-0.022908445447683334,
0.03643101081252098,
0.05253537371754646,
-0.034149035811424255,
1.599438959840238e-33,
-0.10914020240306854,
-0.04872942343354225,
-0.03557008132338524,
0.062135227024555206,
0.023408740758895874,
-0.1049746423959732,
-0.029553644359111786,
-0.039660871028900146,
-0.01791168749332428,
-0.04513336718082428,
-0.08079951256513596,
0.11007774621248245,
0.0003770014736801386,
0.025341540575027466,
0.05487146973609924,
-0.10608801990747452,
0.12653817236423492,
-0.0220000222325325,
0.05218987539410591,
-0.026996146887540817,
0.0648685097694397,
-0.06171835586428642,
-0.02352321520447731,
-0.04231417924165726,
0.01845436356961727,
-0.04133978858590126,
0.03191116452217102,
0.018808292225003242,
0.011916657909750938,
-0.019624801352620125,
-0.04384073615074158,
0.04270121827721596,
0.05950401350855827,
0.010574855841696262,
-0.03555751591920853,
0.11839185655117035,
-0.012192285619676113,
0.046025119721889496,
-0.028454188257455826,
-0.083577461540699,
-0.11690984666347504,
0.0164096150547266,
0.04452953860163689,
-0.027508744969964027,
0.008718923665583134,
-0.020947251468896866,
0.0747806578874588,
-0.05673370137810707,
-0.08696836978197098,
-0.0874689519405365,
-0.013264070264995098,
0.035537973046302795,
0.025350123643875122,
0.011046442203223705,
-0.030662517994642258,
0.0019577748607844114,
0.018872426822781563,
0.017283549532294273,
0.025733109563589096,
0.09081634879112244,
-0.039480965584516525,
-0.025017263367772102,
-0.015827327966690063,
-0.024988194927573204,
0.07815049588680267,
0.1278165876865387,
-0.018353091552853584,
-0.039167605340480804,
0.058159373700618744,
0.030837278813123703,
-0.039247676730155945,
0.010336879640817642,
-0.009748951531946659,
-0.0767822414636612,
0.024830982089042664,
0.009338469244539738,
-0.02058969810605049,
-0.06343141943216324,
-0.009848092682659626,
0.08100929111242294,
-0.01731272228062153,
-0.07806508243083954,
0.013716652058064938,
0.05778218060731888,
0.02413790673017502,
-0.061293825507164,
0.009602504782378674,
-0.03376881405711174,
-0.010211348533630371,
0.05143396183848381,
-0.016584986820816994,
0.0628303736448288,
0.07250037789344788,
-0.01713147573173046,
0.0379580520093441,
-2.7471953174029658e-33,
-0.05660509318113327,
0.05058818683028221,
-0.02189570665359497,
0.0049892570823431015,
-0.003106027143076062,
0.042345937341451645,
-0.045835427939891815,
-0.0697394385933876,
-0.041702475398778915,
0.0020206007175147533,
-0.05525519326329231,
-0.02892388589680195,
0.03366943076252937,
-0.016410397365689278,
-0.020477846264839172,
-0.01919781230390072,
0.020817920565605164,
-0.09820955991744995,
0.01130591332912445,
0.006147195119410753,
0.016560548916459084,
-0.012832722626626492,
-0.07671984285116196,
-0.04264591261744499,
-0.000781109556555748,
0.11280540376901627,
-0.10339345782995224,
-0.045069366693496704,
-0.027072077617049217,
-0.006283902563154697,
-0.07964722067117691,
-0.07931530475616455,
0.022443505004048347,
0.02924739196896553,
0.08308107405900955,
0.11897214502096176,
-0.062039777636528015,
0.13083332777023315,
-0.019376058131456375,
-0.008944268338382244,
0.017360618337988853,
-0.1060371845960617,
-0.026073023676872253,
0.07251244783401489,
0.015518149361014366,
-0.01547591295093298,
0.039595283567905426,
-0.01917863078415394,
-0.08432082086801529,
0.056900814175605774,
0.04057040810585022,
0.029355699196457863,
-0.033805377781391144,
0.004399639088660479,
0.002372294431552291,
0.021446093916893005,
0.04944159835577011,
0.07427462935447693,
0.005837756674736738,
-0.08405157923698425,
-0.04690827429294586,
-0.10707291215658188,
-0.0338580347597599,
0.05898503586649895,
-0.008626586757600307,
-0.05441632121801376,
0.006904907990247011,
-0.08400347083806992,
0.023198947310447693,
-0.015804030001163483,
0.0487007312476635,
0.13073785603046417,
0.008222990669310093,
-0.02216946706175804,
0.03570820018649101,
0.014166811481118202,
-0.0605207234621048,
0.015882201492786407,
-0.04854629561305046,
0.03465140610933304,
-0.08199294656515121,
0.10646471381187439,
-0.056831441819667816,
-0.04123994708061218,
0.0638803169131279,
0.0010571145685389638,
0.040517937391996384,
-0.02751867100596428,
0.053790029138326645,
-0.023860400542616844,
0.008676357567310333,
-0.028045643121004105,
-0.056773971766233444,
0.015385445207357407,
-0.057961802929639816,
-4.488826377269106e-8,
-0.0687408372759819,
0.0560409277677536,
-0.03130032494664192,
-0.025204574689269066,
0.01467916090041399,
-0.027218829840421677,
0.10599160194396973,
0.00773110194131732,
0.029570341110229492,
0.1251521110534668,
0.026974987238645554,
-0.0041738711297512054,
-0.0018132051918655634,
-0.03597193583846092,
-0.040334224700927734,
-0.04567444697022438,
0.011015095748007298,
0.014931807294487953,
-0.013681876473128796,
-0.03550555929541588,
-0.03637368977069855,
-0.03430061414837837,
-0.029106218367815018,
0.10903167724609375,
0.08422548323869705,
-0.03508133441209793,
-0.010212872177362442,
-0.02150093764066696,
0.02467871457338333,
0.04904046282172203,
-0.021107735112309456,
-0.01679007150232792,
0.01962844468653202,
0.06340742111206055,
-0.027629505842924118,
0.058000776916742325,
-0.010835372842848301,
0.08677826821804047,
-0.011481398716568947,
0.0167097058147192,
-0.021826811134815216,
0.0018497365526854992,
0.01280264649540186,
0.05996841564774513,
-0.017969651147723198,
0.011002946645021439,
-0.08416860550642014,
0.0671992152929306,
0.11085757613182068,
-0.07267023622989655,
-0.050490181893110275,
-0.017130745574831963,
-0.014103617519140244,
0.01621459797024727,
0.012986605986952782,
-0.0826171264052391,
-0.011188752017915249,
0.018148843199014664,
0.044572170823812485,
0.030125655233860016,
0.04069945588707924,
-0.005203339736908674,
-0.06464504450559616,
-0.06384027749300003
] | null | null | null | null | null | null | null | [
0.024316223338246346,
0.003917374182492495,
0.021834030747413635,
0.005910099018365145,
0.045486681163311005,
-0.05991276353597641,
0.025260046124458313,
0.02359779365360737,
0.002816565800458193,
-0.007625402417033911,
-0.05989689379930496,
0.060310058295726776,
0.08227155357599258,
0.02487015537917614,
0.014914902858436108,
-0.024957425892353058,
0.00811338983476162,
-0.07872305810451508,
-0.049189358949661255,
0.008346970193088055,
0.0700058862566948,
-0.0402853824198246,
-0.05092610791325569,
-0.050132375210523605,
-0.01826162077486515,
-0.0010844685602933168,
0.0026311641559004784,
0.015302285552024841,
-0.003020866308361292,
-0.06203916296362877,
-0.0009794228244572878,
-0.007420776411890984,
-0.015563368797302246,
-0.06898848712444305,
-0.021538546308875084,
0.11750919371843338,
-0.06646184623241425,
-0.04637548327445984,
0.020043162629008293,
0.0652543157339096,
0.0183483324944973,
0.03218897804617882,
-0.03551767021417618,
0.034361790865659714,
-0.016239995136857033,
-0.06468319147825241,
-0.0011820278596132994,
-0.0058650909923017025,
-0.0068086180835962296,
-0.03406214714050293,
0.00016541588411200792,
-0.058791596442461014,
0.06144774705171585,
0.052580103278160095,
0.07709302008152008,
0.009655358269810677,
-0.034706149250268936,
0.02769535966217518,
-0.051659975200891495,
-0.049463510513305664,
0.10656744986772537,
-0.023807605728507042,
-0.005984609015285969,
-0.01610478386282921,
0.1569007784128189,
0.1345180720090866,
-0.03475465998053551,
0.05127449333667755,
-0.04607721045613289,
0.009221123531460762,
0.02396606095135212,
-0.05935629829764366,
-0.06836393475532532,
-0.05128438398241997,
0.10719560831785202,
0.024243125692009926,
0.034321676939725876,
0.0061816019006073475,
-0.023713886737823486,
0.03692670166492462,
-0.008432521484792233,
-0.017039837315678596,
-0.08147141337394714,
-0.07687236368656158,
-0.0467396005988121,
-0.019413353875279427,
-0.05197705328464508,
-0.06516421586275101,
0.1168128252029419,
-0.0664292722940445,
-0.05786735564470291,
0.11655958741903305,
0.040902260690927505,
0.05703182518482208,
0.04629869386553764,
-0.018782760947942734,
0.022549573332071304,
-0.04969790577888489,
0.006374388467520475,
0.03133220598101616,
-0.003962739370763302,
-0.03092460334300995,
0.061928488314151764,
0.014049449935555458,
0.027408111840486526,
-0.04607323184609413,
0.02438318356871605,
0.04079904034733772,
0.028120355680584908,
0.00011359705968061462,
-0.02895064279437065,
0.007783889304846525,
0.004476330708712339,
0.08297450840473175,
-0.014531660825014114,
-0.000912017363589257,
0.0318395271897316,
-0.026494236662983894,
0.06735668331384659,
-0.02239593118429184,
-0.03248041868209839,
-0.09323318302631378,
-0.00847393274307251,
-0.022908445447683334,
0.03643101081252098,
0.05253537371754646,
-0.034149035811424255,
1.599438959840238e-33,
-0.10914020240306854,
-0.04872942343354225,
-0.03557008132338524,
0.062135227024555206,
0.023408740758895874,
-0.1049746423959732,
-0.029553644359111786,
-0.039660871028900146,
-0.01791168749332428,
-0.04513336718082428,
-0.08079951256513596,
0.11007774621248245,
0.0003770014736801386,
0.025341540575027466,
0.05487146973609924,
-0.10608801990747452,
0.12653817236423492,
-0.0220000222325325,
0.05218987539410591,
-0.026996146887540817,
0.0648685097694397,
-0.06171835586428642,
-0.02352321520447731,
-0.04231417924165726,
0.01845436356961727,
-0.04133978858590126,
0.03191116452217102,
0.018808292225003242,
0.011916657909750938,
-0.019624801352620125,
-0.04384073615074158,
0.04270121827721596,
0.05950401350855827,
0.010574855841696262,
-0.03555751591920853,
0.11839185655117035,
-0.012192285619676113,
0.046025119721889496,
-0.028454188257455826,
-0.083577461540699,
-0.11690984666347504,
0.0164096150547266,
0.04452953860163689,
-0.027508744969964027,
0.008718923665583134,
-0.020947251468896866,
0.0747806578874588,
-0.05673370137810707,
-0.08696836978197098,
-0.0874689519405365,
-0.013264070264995098,
0.035537973046302795,
0.025350123643875122,
0.011046442203223705,
-0.030662517994642258,
0.0019577748607844114,
0.018872426822781563,
0.017283549532294273,
0.025733109563589096,
0.09081634879112244,
-0.039480965584516525,
-0.025017263367772102,
-0.015827327966690063,
-0.024988194927573204,
0.07815049588680267,
0.1278165876865387,
-0.018353091552853584,
-0.039167605340480804,
0.058159373700618744,
0.030837278813123703,
-0.039247676730155945,
0.010336879640817642,
-0.009748951531946659,
-0.0767822414636612,
0.024830982089042664,
0.009338469244539738,
-0.02058969810605049,
-0.06343141943216324,
-0.009848092682659626,
0.08100929111242294,
-0.01731272228062153,
-0.07806508243083954,
0.013716652058064938,
0.05778218060731888,
0.02413790673017502,
-0.061293825507164,
0.009602504782378674,
-0.03376881405711174,
-0.010211348533630371,
0.05143396183848381,
-0.016584986820816994,
0.0628303736448288,
0.07250037789344788,
-0.01713147573173046,
0.0379580520093441,
-2.7471953174029658e-33,
-0.05660509318113327,
0.05058818683028221,
-0.02189570665359497,
0.0049892570823431015,
-0.003106027143076062,
0.042345937341451645,
-0.045835427939891815,
-0.0697394385933876,
-0.041702475398778915,
0.0020206007175147533,
-0.05525519326329231,
-0.02892388589680195,
0.03366943076252937,
-0.016410397365689278,
-0.020477846264839172,
-0.01919781230390072,
0.020817920565605164,
-0.09820955991744995,
0.01130591332912445,
0.006147195119410753,
0.016560548916459084,
-0.012832722626626492,
-0.07671984285116196,
-0.04264591261744499,
-0.000781109556555748,
0.11280540376901627,
-0.10339345782995224,
-0.045069366693496704,
-0.027072077617049217,
-0.006283902563154697,
-0.07964722067117691,
-0.07931530475616455,
0.022443505004048347,
0.02924739196896553,
0.08308107405900955,
0.11897214502096176,
-0.062039777636528015,
0.13083332777023315,
-0.019376058131456375,
-0.008944268338382244,
0.017360618337988853,
-0.1060371845960617,
-0.026073023676872253,
0.07251244783401489,
0.015518149361014366,
-0.01547591295093298,
0.039595283567905426,
-0.01917863078415394,
-0.08432082086801529,
0.056900814175605774,
0.04057040810585022,
0.029355699196457863,
-0.033805377781391144,
0.004399639088660479,
0.002372294431552291,
0.021446093916893005,
0.04944159835577011,
0.07427462935447693,
0.005837756674736738,
-0.08405157923698425,
-0.04690827429294586,
-0.10707291215658188,
-0.0338580347597599,
0.05898503586649895,
-0.008626586757600307,
-0.05441632121801376,
0.006904907990247011,
-0.08400347083806992,
0.023198947310447693,
-0.015804030001163483,
0.0487007312476635,
0.13073785603046417,
0.008222990669310093,
-0.02216946706175804,
0.03570820018649101,
0.014166811481118202,
-0.0605207234621048,
0.015882201492786407,
-0.04854629561305046,
0.03465140610933304,
-0.08199294656515121,
0.10646471381187439,
-0.056831441819667816,
-0.04123994708061218,
0.0638803169131279,
0.0010571145685389638,
0.040517937391996384,
-0.02751867100596428,
0.053790029138326645,
-0.023860400542616844,
0.008676357567310333,
-0.028045643121004105,
-0.056773971766233444,
0.015385445207357407,
-0.057961802929639816,
-4.488826377269106e-8,
-0.0687408372759819,
0.0560409277677536,
-0.03130032494664192,
-0.025204574689269066,
0.01467916090041399,
-0.027218829840421677,
0.10599160194396973,
0.00773110194131732,
0.029570341110229492,
0.1251521110534668,
0.026974987238645554,
-0.0041738711297512054,
-0.0018132051918655634,
-0.03597193583846092,
-0.040334224700927734,
-0.04567444697022438,
0.011015095748007298,
0.014931807294487953,
-0.013681876473128796,
-0.03550555929541588,
-0.03637368977069855,
-0.03430061414837837,
-0.029106218367815018,
0.10903167724609375,
0.08422548323869705,
-0.03508133441209793,
-0.010212872177362442,
-0.02150093764066696,
0.02467871457338333,
0.04904046282172203,
-0.021107735112309456,
-0.01679007150232792,
0.01962844468653202,
0.06340742111206055,
-0.027629505842924118,
0.058000776916742325,
-0.010835372842848301,
0.08677826821804047,
-0.011481398716568947,
0.0167097058147192,
-0.021826811134815216,
0.0018497365526854992,
0.01280264649540186,
0.05996841564774513,
-0.017969651147723198,
0.011002946645021439,
-0.08416860550642014,
0.0671992152929306,
0.11085757613182068,
-0.07267023622989655,
-0.050490181893110275,
-0.017130745574831963,
-0.014103617519140244,
0.01621459797024727,
0.012986605986952782,
-0.0826171264052391,
-0.011188752017915249,
0.018148843199014664,
0.044572170823812485,
0.030125655233860016,
0.04069945588707924,
-0.005203339736908674,
-0.06464504450559616,
-0.06384027749300003
] |
1401.1591 | Tibor Toth-Katona | Istv\'an J\'anossy, Katalin Fodor-Csorba, Anik\'o Vajda and Tibor
T\'oth-Katona | Laser-induced instabilities in liquid crystal cells with a
photosensitive substrate | to appear in Phys. Rev. E | null | 10.1103/PhysRevE.89.012504 | null | cond-mat.soft physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Liquid crystal layers sandwiched between a reference plate and a
photosensitive substrate were investigated. We focused on the reverse geometry,
where the cell was illuminated by a laser beam from the reference side. In
planar cells instabilities occurred, static and dynamic ones, depending on the
angle between the laser polarization and the director orientation on the
reference plate. In cells where the molecules were aligned along the normal of
the reference plate, dynamic pattern was observed at all angles of
polarization. A simple model based on a photo-induced surface torque gives
account of the findings. Light scattering studies revealed some basic
properties of the instabilities.
| [
{
"created": "Wed, 8 Jan 2014 07:48:43 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Jánossy",
"István",
""
],
[
"Fodor-Csorba",
"Katalin",
""
],
[
"Vajda",
"Anikó",
""
],
[
"Tóth-Katona",
"Tibor",
""
]
] | [
-0.021203411743044853,
-0.020026948302984238,
0.00795840471982956,
-0.055037204176187515,
-0.05477108061313629,
0.008400993421673775,
0.08355280011892319,
0.09265037626028061,
0.05753466114401817,
-0.03239041566848755,
0.03535662963986397,
0.022373121231794357,
-0.011563323438167572,
0.08475766330957413,
-0.023594491183757782,
-0.08761194348335266,
-0.01973007060587406,
0.055279724299907684,
0.008780173026025295,
0.06536240875720978,
0.040031109005212784,
-0.02675214409828186,
-0.08830160647630692,
-0.02438550814986229,
-0.02883617766201496,
0.07046886533498764,
0.04742160439491272,
0.05693547800183296,
-0.03216501697897911,
-0.03211471065878868,
-0.016486823558807373,
0.018606923520565033,
-0.15400470793247223,
0.060286764055490494,
0.01336703635752201,
-0.049107298254966736,
-0.008508262224495411,
-0.014953874982893467,
-0.027138106524944305,
-0.026477575302124023,
0.04335532337427139,
0.0244976244866848,
0.0357159823179245,
0.00041412669816054404,
0.0013830879470333457,
0.025562623515725136,
0.11796782910823822,
0.003937232308089733,
-0.08373570442199707,
-0.059065863490104675,
-0.07412505894899368,
-0.01919449120759964,
-0.00019448329112492502,
-0.026675093919038773,
-0.06770267337560654,
0.07120392471551895,
0.03153955936431885,
0.029063129797577858,
0.07139288634061813,
0.003409479046240449,
0.03786441311240196,
0.0004781290190294385,
-0.02758447453379631,
-0.02688227780163288,
0.008911220356822014,
-0.03531908616423607,
0.03139089420437813,
0.008314099162817001,
-0.017214659601449966,
0.009527289308607578,
0.0431273952126503,
0.06650493294000626,
0.0035230708308517933,
-0.00807710736989975,
0.03038293495774269,
-0.021380659192800522,
-0.047391604632139206,
0.026903875172138214,
-0.0496295690536499,
-0.01026660855859518,
-0.016174783930182457,
-0.018012141808867455,
0.05839208886027336,
0.1768612563610077,
-0.012321656569838524,
-0.049706995487213135,
-0.011247814632952213,
0.03740304335951805,
-0.0034942980855703354,
0.0028000036254525185,
-0.004532002843916416,
0.051028430461883545,
-0.09463126957416534,
-0.06307148188352585,
-0.06835067272186279,
-0.032668400555849075,
0.0013023067731410265,
-0.07117827236652374,
-0.020747048780322075,
-0.05103249102830887,
0.061455532908439636,
0.0059124138206243515,
-0.0029996936209499836,
0.08271873742341995,
0.022167691960930824,
-0.04622635990381241,
0.05007133632898331,
0.04861597344279289,
-0.05317873880267143,
0.0037657262291759253,
-0.018347686156630516,
0.015250072814524174,
-0.057442739605903625,
0.04098448529839516,
-0.022592173889279366,
-0.03178904205560684,
-0.07535462826490402,
-0.05764488875865936,
-0.024671727791428566,
0.0022069946862757206,
-0.057201266288757324,
0.05486360564827919,
-0.04291721060872078,
0.07117947190999985,
-0.013333456590771675,
0.002043254906311631,
-0.012241735123097897,
5.295992351313077e-35,
0.02852395363152027,
0.0658784806728363,
-0.02173686772584915,
-0.015116875991225243,
-0.024025246500968933,
-0.1075412780046463,
0.030913913622498512,
-0.007663056720048189,
-0.014727357774972916,
0.009303897619247437,
0.034798089414834976,
0.06441684067249298,
0.001164674642495811,
0.046399492770433426,
-0.011799723841249943,
0.0021263582166284323,
-0.017465677112340927,
0.030826449394226074,
-0.05575725808739662,
0.1468382179737091,
-0.03597850352525711,
0.027633344754576683,
-0.017101237550377846,
-0.026585305109620094,
-0.04415934532880783,
0.05217645317316055,
-0.07485219091176987,
0.027199655771255493,
0.03154730051755905,
-0.010783187113702297,
0.04406648129224777,
0.04037396237254143,
0.03757293522357941,
-0.018756939098238945,
0.07673255354166031,
0.057457681745290756,
-0.04669662564992905,
-0.0024014234077185392,
0.05803295224905014,
-0.0498073436319828,
-0.010814315639436245,
0.053453441709280014,
0.012302245013415813,
-0.040900781750679016,
0.02924179844558239,
0.034124597907066345,
-0.07574543356895447,
-0.05084647983312607,
-0.009882625192403793,
-0.08954621851444244,
0.09274949878454208,
-0.059110525995492935,
-0.012316778302192688,
0.03748149052262306,
-0.0022252905182540417,
0.0342661589384079,
-0.09108404070138931,
0.04159049317240715,
-0.018694164231419563,
0.03367139771580696,
-0.00171910400968045,
0.011948943138122559,
-0.025224367156624794,
-0.009683613665401936,
-0.012599819339811802,
0.04208533838391304,
-0.04079349711537361,
-0.018739623948931694,
0.004362006206065416,
-0.03451801463961601,
0.005465379450470209,
-0.06166037544608116,
0.0481848381459713,
0.01576286181807518,
0.06576414406299591,
0.07021397352218628,
-0.03499516099691391,
0.0020933090709149837,
-0.0373469814658165,
0.08505994826555252,
-0.015423129312694073,
-0.003798483870923519,
-0.050676312297582626,
-0.1021546795964241,
-0.11866122484207153,
0.009700052440166473,
0.027272198349237442,
-0.01327566895633936,
-0.06426870822906494,
0.06696441769599915,
0.07930982857942581,
-0.08010560274124146,
0.013815057463943958,
-0.016342388466000557,
-0.02321392111480236,
-2.89353242546584e-33,
0.0031120493076741695,
-0.10879980772733688,
-0.011840557679533958,
-0.046390872448682785,
0.01784464716911316,
0.025889841839671135,
0.026622792705893517,
0.04830485209822655,
-0.03825484216213226,
0.003579526674002409,
0.06134110316634178,
0.02281784638762474,
-0.1523473709821701,
0.03540283441543579,
-0.13607442378997803,
0.029581615701317787,
0.0023276121355593204,
-0.02939111739397049,
0.061251625418663025,
-0.03951169550418854,
-0.06372121721506119,
0.05083169788122177,
0.07447941601276398,
0.09938468784093857,
0.03202606737613678,
0.07436561584472656,
0.061199840158224106,
0.009429771453142166,
-0.02111271396279335,
0.013247957453131676,
-0.047704096883535385,
-0.02411162480711937,
0.0484267957508564,
-0.0005023905541747808,
-0.012859603390097618,
0.058214571326971054,
-0.07490956038236618,
-0.08623845130205154,
0.06727719306945801,
-0.04893025755882263,
0.04311780259013176,
-0.00889382604509592,
-0.013642392121255398,
0.05315427854657173,
0.044576555490493774,
0.058466836810112,
0.000828548101708293,
-0.013168971985578537,
-0.04861673340201378,
-0.033616695553064346,
-0.1383337825536728,
-0.0073989443480968475,
0.026660911738872528,
-0.04307577386498451,
0.04741324856877327,
0.025497928261756897,
0.03295084834098816,
0.0035637940745800734,
0.09389699995517731,
0.04073125869035721,
0.016853192821145058,
0.04058578982949257,
0.011512466706335545,
-0.088793084025383,
-0.029235534369945526,
0.007827593013644218,
0.09673735499382019,
-0.055088192224502563,
0.055695150047540665,
0.02360221929848194,
0.03766728937625885,
0.06448309123516083,
0.055513784289360046,
0.005172762554138899,
0.014941830188035965,
-0.013214508071541786,
0.01602398045361042,
0.006312899757176638,
-0.12004212290048599,
-0.03775690868496895,
-0.015796631574630737,
0.028175514191389084,
-0.09033530950546265,
-0.020619502291083336,
0.10803914070129395,
-0.08292393386363983,
-0.044980525970458984,
-0.011807093396782875,
-0.07151930779218674,
0.0017355062300339341,
0.11746840178966522,
-0.08155395090579987,
0.05674653872847557,
-0.03298882767558098,
0.0646774172782898,
-4.612737214415574e-8,
0.13084371387958527,
-0.018475022166967392,
0.10064774006605148,
-0.06973444670438766,
-0.10064655542373657,
0.008479366078972816,
0.03836456313729286,
0.041176967322826385,
0.05265463516116142,
-0.05467652902007103,
-0.031644612550735474,
-0.03047972545027733,
0.010664399713277817,
0.009694886393845081,
-0.02809583954513073,
0.1204066053032875,
0.01301671378314495,
-0.11283177137374878,
-0.025357579812407494,
0.02472027577459812,
-0.02380114234983921,
-0.05172179266810417,
-0.009477169252932072,
0.029689611867070198,
-0.05656211078166962,
0.03572920709848404,
-0.025704916566610336,
-0.023152804002165794,
0.011681482195854187,
-0.02377447858452797,
0.04787086695432663,
0.016363931819796562,
0.04262349009513855,
0.01285798940807581,
0.03535803034901619,
-0.013724043034017086,
-0.0939779207110405,
-0.07804524153470993,
-0.006619502790272236,
-0.0067575788125395775,
0.007355923298746347,
0.08436786383390427,
-0.07960230112075806,
0.0029517856892198324,
0.11988965421915054,
0.059600330889225006,
0.03984171152114868,
-0.0022782336454838514,
-0.06331092864274979,
-0.010455037467181683,
-0.07121467590332031,
0.07662376016378403,
-0.015131776221096516,
0.028292274102568626,
-0.0517534464597702,
-0.018047872930765152,
-0.02305706776678562,
-0.005434844177216291,
0.020344320684671402,
-0.03336981683969498,
0.05034038424491882,
-0.03959077596664429,
-0.04974661022424698,
0.004192315507680178
] | null | null | null | null | null | null | null | [
-0.021203411743044853,
-0.020026948302984238,
0.00795840471982956,
-0.055037204176187515,
-0.05477108061313629,
0.008400993421673775,
0.08355280011892319,
0.09265037626028061,
0.05753466114401817,
-0.03239041566848755,
0.03535662963986397,
0.022373121231794357,
-0.011563323438167572,
0.08475766330957413,
-0.023594491183757782,
-0.08761194348335266,
-0.01973007060587406,
0.055279724299907684,
0.008780173026025295,
0.06536240875720978,
0.040031109005212784,
-0.02675214409828186,
-0.08830160647630692,
-0.02438550814986229,
-0.02883617766201496,
0.07046886533498764,
0.04742160439491272,
0.05693547800183296,
-0.03216501697897911,
-0.03211471065878868,
-0.016486823558807373,
0.018606923520565033,
-0.15400470793247223,
0.060286764055490494,
0.01336703635752201,
-0.049107298254966736,
-0.008508262224495411,
-0.014953874982893467,
-0.027138106524944305,
-0.026477575302124023,
0.04335532337427139,
0.0244976244866848,
0.0357159823179245,
0.00041412669816054404,
0.0013830879470333457,
0.025562623515725136,
0.11796782910823822,
0.003937232308089733,
-0.08373570442199707,
-0.059065863490104675,
-0.07412505894899368,
-0.01919449120759964,
-0.00019448329112492502,
-0.026675093919038773,
-0.06770267337560654,
0.07120392471551895,
0.03153955936431885,
0.029063129797577858,
0.07139288634061813,
0.003409479046240449,
0.03786441311240196,
0.0004781290190294385,
-0.02758447453379631,
-0.02688227780163288,
0.008911220356822014,
-0.03531908616423607,
0.03139089420437813,
0.008314099162817001,
-0.017214659601449966,
0.009527289308607578,
0.0431273952126503,
0.06650493294000626,
0.0035230708308517933,
-0.00807710736989975,
0.03038293495774269,
-0.021380659192800522,
-0.047391604632139206,
0.026903875172138214,
-0.0496295690536499,
-0.01026660855859518,
-0.016174783930182457,
-0.018012141808867455,
0.05839208886027336,
0.1768612563610077,
-0.012321656569838524,
-0.049706995487213135,
-0.011247814632952213,
0.03740304335951805,
-0.0034942980855703354,
0.0028000036254525185,
-0.004532002843916416,
0.051028430461883545,
-0.09463126957416534,
-0.06307148188352585,
-0.06835067272186279,
-0.032668400555849075,
0.0013023067731410265,
-0.07117827236652374,
-0.020747048780322075,
-0.05103249102830887,
0.061455532908439636,
0.0059124138206243515,
-0.0029996936209499836,
0.08271873742341995,
0.022167691960930824,
-0.04622635990381241,
0.05007133632898331,
0.04861597344279289,
-0.05317873880267143,
0.0037657262291759253,
-0.018347686156630516,
0.015250072814524174,
-0.057442739605903625,
0.04098448529839516,
-0.022592173889279366,
-0.03178904205560684,
-0.07535462826490402,
-0.05764488875865936,
-0.024671727791428566,
0.0022069946862757206,
-0.057201266288757324,
0.05486360564827919,
-0.04291721060872078,
0.07117947190999985,
-0.013333456590771675,
0.002043254906311631,
-0.012241735123097897,
5.295992351313077e-35,
0.02852395363152027,
0.0658784806728363,
-0.02173686772584915,
-0.015116875991225243,
-0.024025246500968933,
-0.1075412780046463,
0.030913913622498512,
-0.007663056720048189,
-0.014727357774972916,
0.009303897619247437,
0.034798089414834976,
0.06441684067249298,
0.001164674642495811,
0.046399492770433426,
-0.011799723841249943,
0.0021263582166284323,
-0.017465677112340927,
0.030826449394226074,
-0.05575725808739662,
0.1468382179737091,
-0.03597850352525711,
0.027633344754576683,
-0.017101237550377846,
-0.026585305109620094,
-0.04415934532880783,
0.05217645317316055,
-0.07485219091176987,
0.027199655771255493,
0.03154730051755905,
-0.010783187113702297,
0.04406648129224777,
0.04037396237254143,
0.03757293522357941,
-0.018756939098238945,
0.07673255354166031,
0.057457681745290756,
-0.04669662564992905,
-0.0024014234077185392,
0.05803295224905014,
-0.0498073436319828,
-0.010814315639436245,
0.053453441709280014,
0.012302245013415813,
-0.040900781750679016,
0.02924179844558239,
0.034124597907066345,
-0.07574543356895447,
-0.05084647983312607,
-0.009882625192403793,
-0.08954621851444244,
0.09274949878454208,
-0.059110525995492935,
-0.012316778302192688,
0.03748149052262306,
-0.0022252905182540417,
0.0342661589384079,
-0.09108404070138931,
0.04159049317240715,
-0.018694164231419563,
0.03367139771580696,
-0.00171910400968045,
0.011948943138122559,
-0.025224367156624794,
-0.009683613665401936,
-0.012599819339811802,
0.04208533838391304,
-0.04079349711537361,
-0.018739623948931694,
0.004362006206065416,
-0.03451801463961601,
0.005465379450470209,
-0.06166037544608116,
0.0481848381459713,
0.01576286181807518,
0.06576414406299591,
0.07021397352218628,
-0.03499516099691391,
0.0020933090709149837,
-0.0373469814658165,
0.08505994826555252,
-0.015423129312694073,
-0.003798483870923519,
-0.050676312297582626,
-0.1021546795964241,
-0.11866122484207153,
0.009700052440166473,
0.027272198349237442,
-0.01327566895633936,
-0.06426870822906494,
0.06696441769599915,
0.07930982857942581,
-0.08010560274124146,
0.013815057463943958,
-0.016342388466000557,
-0.02321392111480236,
-2.89353242546584e-33,
0.0031120493076741695,
-0.10879980772733688,
-0.011840557679533958,
-0.046390872448682785,
0.01784464716911316,
0.025889841839671135,
0.026622792705893517,
0.04830485209822655,
-0.03825484216213226,
0.003579526674002409,
0.06134110316634178,
0.02281784638762474,
-0.1523473709821701,
0.03540283441543579,
-0.13607442378997803,
0.029581615701317787,
0.0023276121355593204,
-0.02939111739397049,
0.061251625418663025,
-0.03951169550418854,
-0.06372121721506119,
0.05083169788122177,
0.07447941601276398,
0.09938468784093857,
0.03202606737613678,
0.07436561584472656,
0.061199840158224106,
0.009429771453142166,
-0.02111271396279335,
0.013247957453131676,
-0.047704096883535385,
-0.02411162480711937,
0.0484267957508564,
-0.0005023905541747808,
-0.012859603390097618,
0.058214571326971054,
-0.07490956038236618,
-0.08623845130205154,
0.06727719306945801,
-0.04893025755882263,
0.04311780259013176,
-0.00889382604509592,
-0.013642392121255398,
0.05315427854657173,
0.044576555490493774,
0.058466836810112,
0.000828548101708293,
-0.013168971985578537,
-0.04861673340201378,
-0.033616695553064346,
-0.1383337825536728,
-0.0073989443480968475,
0.026660911738872528,
-0.04307577386498451,
0.04741324856877327,
0.025497928261756897,
0.03295084834098816,
0.0035637940745800734,
0.09389699995517731,
0.04073125869035721,
0.016853192821145058,
0.04058578982949257,
0.011512466706335545,
-0.088793084025383,
-0.029235534369945526,
0.007827593013644218,
0.09673735499382019,
-0.055088192224502563,
0.055695150047540665,
0.02360221929848194,
0.03766728937625885,
0.06448309123516083,
0.055513784289360046,
0.005172762554138899,
0.014941830188035965,
-0.013214508071541786,
0.01602398045361042,
0.006312899757176638,
-0.12004212290048599,
-0.03775690868496895,
-0.015796631574630737,
0.028175514191389084,
-0.09033530950546265,
-0.020619502291083336,
0.10803914070129395,
-0.08292393386363983,
-0.044980525970458984,
-0.011807093396782875,
-0.07151930779218674,
0.0017355062300339341,
0.11746840178966522,
-0.08155395090579987,
0.05674653872847557,
-0.03298882767558098,
0.0646774172782898,
-4.612737214415574e-8,
0.13084371387958527,
-0.018475022166967392,
0.10064774006605148,
-0.06973444670438766,
-0.10064655542373657,
0.008479366078972816,
0.03836456313729286,
0.041176967322826385,
0.05265463516116142,
-0.05467652902007103,
-0.031644612550735474,
-0.03047972545027733,
0.010664399713277817,
0.009694886393845081,
-0.02809583954513073,
0.1204066053032875,
0.01301671378314495,
-0.11283177137374878,
-0.025357579812407494,
0.02472027577459812,
-0.02380114234983921,
-0.05172179266810417,
-0.009477169252932072,
0.029689611867070198,
-0.05656211078166962,
0.03572920709848404,
-0.025704916566610336,
-0.023152804002165794,
0.011681482195854187,
-0.02377447858452797,
0.04787086695432663,
0.016363931819796562,
0.04262349009513855,
0.01285798940807581,
0.03535803034901619,
-0.013724043034017086,
-0.0939779207110405,
-0.07804524153470993,
-0.006619502790272236,
-0.0067575788125395775,
0.007355923298746347,
0.08436786383390427,
-0.07960230112075806,
0.0029517856892198324,
0.11988965421915054,
0.059600330889225006,
0.03984171152114868,
-0.0022782336454838514,
-0.06331092864274979,
-0.010455037467181683,
-0.07121467590332031,
0.07662376016378403,
-0.015131776221096516,
0.028292274102568626,
-0.0517534464597702,
-0.018047872930765152,
-0.02305706776678562,
-0.005434844177216291,
0.020344320684671402,
-0.03336981683969498,
0.05034038424491882,
-0.03959077596664429,
-0.04974661022424698,
0.004192315507680178
] |
1401.1592 | Tibor Toth-Katona | I. J\'anossy, K. Fodor-Csorba, A. Vajda, L.O. Palomares and T.
T\'oth-Katona | Light-induced instabilities in photo-oriented liquid crystal cells | to appear in Mol. Cryst. Liq. Cryst | null | null | null | cond-mat.soft physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a planar liquid crystal sample sandwiched between a photosensitive and a
reference plate instabilities occurred, when the cell was illuminated from the
reference side. The instabilities were induced both by polarized white light
source and monochromatic laser beams. Static and dynamic regimes were found;
for laser irradiation dynamic instability was found only in a range of
polarization directions. A model, developed for monochromatic excitation,
predicts that at certain thicknesses dynamic instability is forbidden.
Experiments on a wedge-like cell confirmed this conclusion.
| [
{
"created": "Wed, 8 Jan 2014 07:54:50 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Jánossy",
"I.",
""
],
[
"Fodor-Csorba",
"K.",
""
],
[
"Vajda",
"A.",
""
],
[
"Palomares",
"L. O.",
""
],
[
"Tóth-Katona",
"T.",
""
]
] | [
0.014157533645629883,
-0.012768633663654327,
0.027291204780340195,
0.00834296178072691,
-0.083697609603405,
-0.010616231709718704,
0.0713842585682869,
0.061259374022483826,
0.00999485794454813,
-0.03181732818484306,
0.022219348698854446,
0.03656046837568283,
0.03754451125860214,
0.06221601366996765,
0.006304306443780661,
0.002427441533654928,
-0.0022622551769018173,
0.039651717990636826,
-0.028774794191122055,
0.06557625532150269,
0.027184754610061646,
-0.07248733937740326,
-0.1018519401550293,
0.008731639944016933,
-0.0748748928308487,
0.02520177885890007,
0.012911875732243061,
0.04164588078856468,
0.030861638486385345,
-0.021274741739034653,
0.04071898013353348,
0.028173834085464478,
-0.16850882768630981,
0.07619184255599976,
0.03744266927242279,
-0.07383137196302414,
-0.003137066029012203,
0.0060820733197033405,
-0.04100297763943672,
0.030630219727754593,
0.04744108393788338,
0.015425039455294609,
0.03331844136118889,
0.00929762702435255,
0.009342363104224205,
0.06251677870750427,
0.10657470673322678,
-0.042272716760635376,
-0.12874667346477509,
-0.05366942286491394,
-0.040644850581884384,
-0.009675581939518452,
0.005903537385165691,
-0.02604086324572563,
-0.049335628747940063,
0.004248344339430332,
0.015938930213451385,
0.055157341063022614,
0.06428535282611847,
-0.001686970703303814,
0.015661554411053658,
0.014118475839495659,
-0.04698260873556137,
-0.03705330193042755,
0.0253150574862957,
0.006483476608991623,
-0.005589622538536787,
0.0026071658357977867,
-0.021352620795369148,
0.03827308863401413,
0.08645056188106537,
0.049924902617931366,
-0.022043487057089806,
-0.07116138935089111,
0.004355680663138628,
-0.016868464648723602,
-0.023266607895493507,
0.026897575706243515,
-0.049176983535289764,
0.026183562353253365,
0.030123818665742874,
-0.03866015374660492,
-0.02142374962568283,
0.0958905890583992,
-0.016158774495124817,
-0.032392024993896484,
0.038460250943899155,
0.03186269477009773,
0.01918206363916397,
0.022746432572603226,
-0.012418284080922604,
0.08180953562259674,
-0.031656600534915924,
-0.06868800520896912,
-0.00780813442543149,
-0.0032956739887595177,
0.01496885810047388,
-0.11981318891048431,
0.02955057844519615,
-0.03008146770298481,
0.06985602527856827,
-0.03532598912715912,
-0.027544276788830757,
0.12330017983913422,
0.01284070871770382,
-0.07578479498624802,
0.09030204266309738,
0.08469192683696747,
-0.041337307542562485,
0.029127053916454315,
0.025246934965252876,
0.012030839920043945,
-0.004740604665130377,
0.041250746697187424,
-0.02785618230700493,
-0.011613237671554089,
-0.07170221209526062,
-0.02052881382405758,
0.012307818979024887,
-0.02465304173529148,
-0.02712475135922432,
0.05445239320397377,
-0.02566489204764366,
0.02800547331571579,
-0.022803954780101776,
-0.02844174951314926,
0.028242671862244606,
2.6155996431833723e-33,
0.03360031917691231,
0.04755613952875137,
-0.040487173944711685,
0.021381324157118797,
-0.03350194916129112,
-0.08371638506650925,
0.0016918922774493694,
-0.006031172815710306,
-0.018705183640122414,
-0.03350403159856796,
0.040007609874010086,
0.043144095689058304,
-0.012662239372730255,
0.041444215923547745,
0.01326797716319561,
-0.015231288969516754,
0.01867871731519699,
0.0693635493516922,
-0.09963341802358627,
0.13837522268295288,
-0.029391862452030182,
0.006620408501476049,
-0.003731141798198223,
-0.03426603972911835,
-0.06675176322460175,
0.056670933961868286,
-0.05258892476558685,
0.06267296522855759,
0.031061988323926926,
-0.009509996511042118,
0.0513770654797554,
0.07070496678352356,
0.008156396448612213,
-0.008275337517261505,
0.07161640375852585,
0.061051130294799805,
-0.08021605014801025,
0.023842813447117805,
0.049265056848526,
-0.018753334879875183,
-0.018023479729890823,
0.06524448096752167,
0.039726562798023224,
0.020624695345759392,
0.07968065142631531,
-0.0032603133004158735,
-0.10009127110242844,
-0.028879396617412567,
-0.05191750451922417,
-0.08662170171737671,
0.011507132090628147,
-0.031414616852998734,
-0.0406273752450943,
0.06293197721242905,
0.0501716211438179,
0.04336924850940704,
-0.034870509058237076,
0.03369136154651642,
-0.0024514414835721254,
0.020878611132502556,
-0.020519889891147614,
-0.031132934615015984,
0.0033136296551674604,
-0.030202118679881096,
0.04058130830526352,
0.05792805925011635,
-0.09028027951717377,
-0.05231233313679695,
-0.018905585631728172,
-0.052042074501514435,
0.0023530665785074234,
-0.07690363377332687,
0.03954170644283295,
-0.05476996675133705,
0.05454859137535095,
-0.0039169383235275745,
-0.007348918821662664,
0.05804160237312317,
-0.022339150309562683,
0.055252719670534134,
-0.06273695081472397,
-0.04635811224579811,
-0.06630375981330872,
-0.07881678640842438,
-0.09208366274833679,
0.046696294099092484,
-0.004218281712383032,
0.015863686800003052,
-0.1048782542347908,
0.06468077003955841,
0.08907712996006012,
-0.04583972692489624,
0.010847745463252068,
-0.027732888236641884,
-0.017029153183102608,
-4.4641337538155225e-33,
-0.005955717526376247,
-0.08632173389196396,
-0.03562425076961517,
-0.0005242266925051808,
0.050305332988500595,
0.06074956804513931,
0.01149693038314581,
0.07210700958967209,
-0.03217329829931259,
-0.01709228940308094,
0.05379524827003479,
0.04966822639107704,
-0.1433812826871872,
0.011436684057116508,
-0.15718217194080353,
-0.011693385429680347,
0.0319657139480114,
0.031345948576927185,
0.08025983721017838,
-0.001878665410913527,
-0.07254109531641006,
0.021846428513526917,
0.02793886512517929,
0.06874862313270569,
0.09159594029188156,
0.06771287322044373,
0.03234633803367615,
0.01252614613622427,
-0.02167607843875885,
0.014745999127626419,
-0.08579516410827637,
0.0143869798630476,
0.010616236366331577,
0.032118525356054306,
-0.014566274359822273,
0.03775486350059509,
-0.025441374629735947,
-0.11068502068519592,
0.03438448905944824,
-0.02534552291035652,
0.015440479852259159,
0.05000145360827446,
-0.019339008256793022,
0.03557997941970825,
0.03156985715031624,
0.049488089978694916,
-0.008721422404050827,
-0.011638196185231209,
-0.02680487558245659,
0.013777777552604675,
-0.12386759370565414,
-0.04558392986655235,
-0.029490578919649124,
-0.005132684949785471,
0.013516751118004322,
-0.01140164490789175,
-0.007958446629345417,
0.05584230646491051,
0.010450510308146477,
0.05900589004158974,
-0.039953358471393585,
0.051921095699071884,
0.044578805565834045,
-0.05880839005112648,
0.007241392973810434,
0.008198808878660202,
0.025859026238322258,
-0.027308771386742592,
0.08163465559482574,
0.007001019082963467,
0.047139741480350494,
0.024854032322764397,
0.02501808851957321,
-0.008102896623313427,
0.03130941465497017,
0.011794441379606724,
-0.037460606545209885,
-0.029711667448282242,
-0.13542787730693817,
-0.0483529195189476,
-0.05671868100762367,
0.0266887117177248,
-0.08880342543125153,
0.039850085973739624,
0.04615261033177376,
-0.1185215637087822,
-0.026127390563488007,
-0.05503733456134796,
-0.08643745630979538,
-0.035403668880462646,
0.09162494540214539,
-0.08118642866611481,
0.03598427772521973,
-0.054572608321905136,
0.09343484789133072,
-4.532258301992442e-8,
0.06856655329465866,
0.018552958965301514,
0.04027257114648819,
0.006249785423278809,
-0.041569605469703674,
-0.03246339038014412,
0.03950681909918785,
-0.013232489116489887,
0.06392646580934525,
-0.08496048301458359,
-0.045519135892391205,
-0.01792077161371708,
0.06274747848510742,
-0.024654578417539597,
-0.05060558021068573,
0.06669210642576218,
0.007352553308010101,
-0.0747298002243042,
-0.025575658306479454,
0.0597291998565197,
-0.046502936631441116,
-0.07592365890741348,
0.016420643776655197,
-0.003382154041901231,
-0.12954029440879822,
0.06325650215148926,
0.021641047671437263,
-0.02168136276304722,
0.00786128081381321,
-0.019773157313466072,
0.06070886552333832,
0.008915690705180168,
0.06862933188676834,
0.01625475473701954,
-0.00017753605789039284,
-0.015242274850606918,
-0.10324840992689133,
-0.060357049107551575,
0.038615766912698746,
0.0163164883852005,
-0.008565993048250675,
0.1330793797969818,
-0.08266370743513107,
-0.009339099749922752,
0.0626971572637558,
0.10146462917327881,
0.01724853552877903,
-0.053324826061725616,
-0.07949113845825195,
0.021862465888261795,
-0.05352732539176941,
0.10916419327259064,
-0.05610363557934761,
0.003436786588281393,
-0.0341571606695652,
-0.022410068660974503,
0.0065532345324754715,
0.027931032702326775,
0.02022966928780079,
-0.04161052033305168,
0.0908789113163948,
-0.03165699541568756,
-0.01699007861316204,
-0.007567062973976135
] | null | null | null | null | null | null | null | [
0.014157533645629883,
-0.012768633663654327,
0.027291204780340195,
0.00834296178072691,
-0.083697609603405,
-0.010616231709718704,
0.0713842585682869,
0.061259374022483826,
0.00999485794454813,
-0.03181732818484306,
0.022219348698854446,
0.03656046837568283,
0.03754451125860214,
0.06221601366996765,
0.006304306443780661,
0.002427441533654928,
-0.0022622551769018173,
0.039651717990636826,
-0.028774794191122055,
0.06557625532150269,
0.027184754610061646,
-0.07248733937740326,
-0.1018519401550293,
0.008731639944016933,
-0.0748748928308487,
0.02520177885890007,
0.012911875732243061,
0.04164588078856468,
0.030861638486385345,
-0.021274741739034653,
0.04071898013353348,
0.028173834085464478,
-0.16850882768630981,
0.07619184255599976,
0.03744266927242279,
-0.07383137196302414,
-0.003137066029012203,
0.0060820733197033405,
-0.04100297763943672,
0.030630219727754593,
0.04744108393788338,
0.015425039455294609,
0.03331844136118889,
0.00929762702435255,
0.009342363104224205,
0.06251677870750427,
0.10657470673322678,
-0.042272716760635376,
-0.12874667346477509,
-0.05366942286491394,
-0.040644850581884384,
-0.009675581939518452,
0.005903537385165691,
-0.02604086324572563,
-0.049335628747940063,
0.004248344339430332,
0.015938930213451385,
0.055157341063022614,
0.06428535282611847,
-0.001686970703303814,
0.015661554411053658,
0.014118475839495659,
-0.04698260873556137,
-0.03705330193042755,
0.0253150574862957,
0.006483476608991623,
-0.005589622538536787,
0.0026071658357977867,
-0.021352620795369148,
0.03827308863401413,
0.08645056188106537,
0.049924902617931366,
-0.022043487057089806,
-0.07116138935089111,
0.004355680663138628,
-0.016868464648723602,
-0.023266607895493507,
0.026897575706243515,
-0.049176983535289764,
0.026183562353253365,
0.030123818665742874,
-0.03866015374660492,
-0.02142374962568283,
0.0958905890583992,
-0.016158774495124817,
-0.032392024993896484,
0.038460250943899155,
0.03186269477009773,
0.01918206363916397,
0.022746432572603226,
-0.012418284080922604,
0.08180953562259674,
-0.031656600534915924,
-0.06868800520896912,
-0.00780813442543149,
-0.0032956739887595177,
0.01496885810047388,
-0.11981318891048431,
0.02955057844519615,
-0.03008146770298481,
0.06985602527856827,
-0.03532598912715912,
-0.027544276788830757,
0.12330017983913422,
0.01284070871770382,
-0.07578479498624802,
0.09030204266309738,
0.08469192683696747,
-0.041337307542562485,
0.029127053916454315,
0.025246934965252876,
0.012030839920043945,
-0.004740604665130377,
0.041250746697187424,
-0.02785618230700493,
-0.011613237671554089,
-0.07170221209526062,
-0.02052881382405758,
0.012307818979024887,
-0.02465304173529148,
-0.02712475135922432,
0.05445239320397377,
-0.02566489204764366,
0.02800547331571579,
-0.022803954780101776,
-0.02844174951314926,
0.028242671862244606,
2.6155996431833723e-33,
0.03360031917691231,
0.04755613952875137,
-0.040487173944711685,
0.021381324157118797,
-0.03350194916129112,
-0.08371638506650925,
0.0016918922774493694,
-0.006031172815710306,
-0.018705183640122414,
-0.03350403159856796,
0.040007609874010086,
0.043144095689058304,
-0.012662239372730255,
0.041444215923547745,
0.01326797716319561,
-0.015231288969516754,
0.01867871731519699,
0.0693635493516922,
-0.09963341802358627,
0.13837522268295288,
-0.029391862452030182,
0.006620408501476049,
-0.003731141798198223,
-0.03426603972911835,
-0.06675176322460175,
0.056670933961868286,
-0.05258892476558685,
0.06267296522855759,
0.031061988323926926,
-0.009509996511042118,
0.0513770654797554,
0.07070496678352356,
0.008156396448612213,
-0.008275337517261505,
0.07161640375852585,
0.061051130294799805,
-0.08021605014801025,
0.023842813447117805,
0.049265056848526,
-0.018753334879875183,
-0.018023479729890823,
0.06524448096752167,
0.039726562798023224,
0.020624695345759392,
0.07968065142631531,
-0.0032603133004158735,
-0.10009127110242844,
-0.028879396617412567,
-0.05191750451922417,
-0.08662170171737671,
0.011507132090628147,
-0.031414616852998734,
-0.0406273752450943,
0.06293197721242905,
0.0501716211438179,
0.04336924850940704,
-0.034870509058237076,
0.03369136154651642,
-0.0024514414835721254,
0.020878611132502556,
-0.020519889891147614,
-0.031132934615015984,
0.0033136296551674604,
-0.030202118679881096,
0.04058130830526352,
0.05792805925011635,
-0.09028027951717377,
-0.05231233313679695,
-0.018905585631728172,
-0.052042074501514435,
0.0023530665785074234,
-0.07690363377332687,
0.03954170644283295,
-0.05476996675133705,
0.05454859137535095,
-0.0039169383235275745,
-0.007348918821662664,
0.05804160237312317,
-0.022339150309562683,
0.055252719670534134,
-0.06273695081472397,
-0.04635811224579811,
-0.06630375981330872,
-0.07881678640842438,
-0.09208366274833679,
0.046696294099092484,
-0.004218281712383032,
0.015863686800003052,
-0.1048782542347908,
0.06468077003955841,
0.08907712996006012,
-0.04583972692489624,
0.010847745463252068,
-0.027732888236641884,
-0.017029153183102608,
-4.4641337538155225e-33,
-0.005955717526376247,
-0.08632173389196396,
-0.03562425076961517,
-0.0005242266925051808,
0.050305332988500595,
0.06074956804513931,
0.01149693038314581,
0.07210700958967209,
-0.03217329829931259,
-0.01709228940308094,
0.05379524827003479,
0.04966822639107704,
-0.1433812826871872,
0.011436684057116508,
-0.15718217194080353,
-0.011693385429680347,
0.0319657139480114,
0.031345948576927185,
0.08025983721017838,
-0.001878665410913527,
-0.07254109531641006,
0.021846428513526917,
0.02793886512517929,
0.06874862313270569,
0.09159594029188156,
0.06771287322044373,
0.03234633803367615,
0.01252614613622427,
-0.02167607843875885,
0.014745999127626419,
-0.08579516410827637,
0.0143869798630476,
0.010616236366331577,
0.032118525356054306,
-0.014566274359822273,
0.03775486350059509,
-0.025441374629735947,
-0.11068502068519592,
0.03438448905944824,
-0.02534552291035652,
0.015440479852259159,
0.05000145360827446,
-0.019339008256793022,
0.03557997941970825,
0.03156985715031624,
0.049488089978694916,
-0.008721422404050827,
-0.011638196185231209,
-0.02680487558245659,
0.013777777552604675,
-0.12386759370565414,
-0.04558392986655235,
-0.029490578919649124,
-0.005132684949785471,
0.013516751118004322,
-0.01140164490789175,
-0.007958446629345417,
0.05584230646491051,
0.010450510308146477,
0.05900589004158974,
-0.039953358471393585,
0.051921095699071884,
0.044578805565834045,
-0.05880839005112648,
0.007241392973810434,
0.008198808878660202,
0.025859026238322258,
-0.027308771386742592,
0.08163465559482574,
0.007001019082963467,
0.047139741480350494,
0.024854032322764397,
0.02501808851957321,
-0.008102896623313427,
0.03130941465497017,
0.011794441379606724,
-0.037460606545209885,
-0.029711667448282242,
-0.13542787730693817,
-0.0483529195189476,
-0.05671868100762367,
0.0266887117177248,
-0.08880342543125153,
0.039850085973739624,
0.04615261033177376,
-0.1185215637087822,
-0.026127390563488007,
-0.05503733456134796,
-0.08643745630979538,
-0.035403668880462646,
0.09162494540214539,
-0.08118642866611481,
0.03598427772521973,
-0.054572608321905136,
0.09343484789133072,
-4.532258301992442e-8,
0.06856655329465866,
0.018552958965301514,
0.04027257114648819,
0.006249785423278809,
-0.041569605469703674,
-0.03246339038014412,
0.03950681909918785,
-0.013232489116489887,
0.06392646580934525,
-0.08496048301458359,
-0.045519135892391205,
-0.01792077161371708,
0.06274747848510742,
-0.024654578417539597,
-0.05060558021068573,
0.06669210642576218,
0.007352553308010101,
-0.0747298002243042,
-0.025575658306479454,
0.0597291998565197,
-0.046502936631441116,
-0.07592365890741348,
0.016420643776655197,
-0.003382154041901231,
-0.12954029440879822,
0.06325650215148926,
0.021641047671437263,
-0.02168136276304722,
0.00786128081381321,
-0.019773157313466072,
0.06070886552333832,
0.008915690705180168,
0.06862933188676834,
0.01625475473701954,
-0.00017753605789039284,
-0.015242274850606918,
-0.10324840992689133,
-0.060357049107551575,
0.038615766912698746,
0.0163164883852005,
-0.008565993048250675,
0.1330793797969818,
-0.08266370743513107,
-0.009339099749922752,
0.0626971572637558,
0.10146462917327881,
0.01724853552877903,
-0.053324826061725616,
-0.07949113845825195,
0.021862465888261795,
-0.05352732539176941,
0.10916419327259064,
-0.05610363557934761,
0.003436786588281393,
-0.0341571606695652,
-0.022410068660974503,
0.0065532345324754715,
0.027931032702326775,
0.02022966928780079,
-0.04161052033305168,
0.0908789113163948,
-0.03165699541568756,
-0.01699007861316204,
-0.007567062973976135
] |
1401.1603 | Primo\v{z} Peterlin | Ignasi M\'endez, Primo\v{z} Peterlin, Rihard Hudej, Andrej Strojnik,
Bo\v{z}idar Casar | On multichannel film dosimetry with channel-independent perturbations | 11 pages, 2 figures | Medical Physics 41(1):011705 (2014) | 10.1118/1.4845095 | null | physics.med-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Purpose: Different multichannel methods for film dosimetry have been proposed
in the literature. Two of them are the weighted mean method and the method put
forth by Micke et al and Mayer et al. The purpose of this work was to compare
their results and to develop a generalized channel-independent perturbations
framework in which both methods enter as special cases.
Methods: Four models of channel-independent perturbations were compared:
weighted mean, Micke-Mayer method, uniform distribution and truncated normal
distribution. A closed-form formula to calculate film doses and the associated
Type B uncertainty for all four models was deduced. To evaluate the models,
film dose distributions were compared with planned and measured dose
distributions. At the same time, several elements of the dosimetry process were
compared: film type EBT2 versus EBT3, different waiting-time windows,
reflection mode versus transmission mode scanning, and planned versus measured
dose distribution for film calibration and for gamma-index analysis. The
methods and the models described in this study are publicly accessible through
IRISEU. Alpha 1.1 (http://www.iriseu.com). IRISEU. is a cloud computing web
application for calibration and dosimetry of radiochromic films.
Results: The truncated normal distribution model provided the best agreement
between film and reference doses, both for calibration and gamma-index
verification, and proved itself superior to both the weighted mean model, which
neglects correlations between the channels, and the Micke-Mayer model, whose
accuracy depends on the properties of the sensitometric curves.
Conclusions: The truncated normal distribution model of channel-independent
perturbations was found superior to the other three models under comparison and
we propose its use for multichannel dosimetry.
| [
{
"created": "Wed, 8 Jan 2014 08:35:09 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Méndez",
"Ignasi",
""
],
[
"Peterlin",
"Primož",
""
],
[
"Hudej",
"Rihard",
""
],
[
"Strojnik",
"Andrej",
""
],
[
"Casar",
"Božidar",
""
]
] | [
0.07904914766550064,
-0.03753117471933365,
0.008556944318115711,
-0.04901601001620293,
-0.06541693955659866,
-0.06574676930904388,
0.07969518005847931,
0.14218361675739288,
0.07581101357936859,
-0.014507380314171314,
0.010424232110381126,
-0.07698245346546173,
0.13380621373653412,
0.05322825908660889,
-0.02854086272418499,
-0.10291650891304016,
0.10200844705104828,
-0.01656094193458557,
-0.029504679143428802,
-0.0016446110093966126,
-0.007803484331816435,
0.022230427712202072,
-0.059867970645427704,
0.02415269799530506,
-0.01794254779815674,
-0.09706365317106247,
-0.05419009178876877,
-0.054434459656476974,
-0.059597887098789215,
-0.0031091901473701,
0.007643401622772217,
0.06551358848810196,
-0.03524070605635643,
-0.01706010103225708,
0.041947588324546814,
-0.08526065200567245,
-0.04157961905002594,
-0.04096498340368271,
-0.0861913412809372,
0.009837023913860321,
-0.021881794556975365,
-0.013933537527918816,
-0.02557002194225788,
0.019863633438944817,
0.03007204644382,
-0.04542899131774902,
0.01646221987903118,
-0.044183991849422455,
-0.033341191709041595,
0.016596095636487007,
0.021823668852448463,
0.03160884603857994,
-0.006720124278217554,
0.04330546408891678,
0.009845013730227947,
-0.1148693859577179,
-0.0067396922968328,
0.0030386685393750668,
-0.026373984292149544,
0.08357510715723038,
-0.06902012228965759,
0.033213019371032715,
-0.0740959420800209,
-0.03367530554533005,
0.1301828920841217,
0.07565154880285263,
0.0690661147236824,
-0.0034617003984749317,
0.06080532819032669,
-0.02253180369734764,
-0.04958952218294144,
0.03200381621718407,
-0.06892260909080505,
0.007322534453123808,
-0.10448161512613297,
-0.10123809427022934,
0.030133847147226334,
0.07681413739919662,
-0.007868081331253052,
-0.0572943389415741,
-0.0005490139010362327,
0.008957506157457829,
0.016129128634929657,
-0.04157756641507149,
0.04613267630338669,
0.03628385439515114,
0.010754666291177273,
0.16093920171260834,
-0.002378529403358698,
0.04438445344567299,
0.005647298879921436,
0.10331498831510544,
-0.11828944087028503,
0.06419768184423447,
0.03456202521920204,
-0.014337950386106968,
-0.046261321753263474,
-0.03198214992880821,
0.0973367691040039,
0.018091659992933273,
0.026179008185863495,
-0.07953532785177231,
-0.04887539520859718,
0.034593380987644196,
-0.017079075798392296,
-0.026450874283909798,
0.06486324220895767,
0.017701515927910805,
-0.044248439371585846,
-0.014720259234309196,
-0.058189112693071365,
0.034456443041563034,
0.009905030950903893,
0.010568506084382534,
0.04899854585528374,
0.057066041976213455,
0.006050849333405495,
0.009659042581915855,
0.027416380122303963,
-0.0395212359726429,
0.021240996196866035,
-0.07064371556043625,
0.02268810197710991,
-0.05652442201972008,
-0.018282700330018997,
-0.007402841467410326,
0.049806393682956696,
3.71800414299443e-33,
-0.03701058030128479,
0.012120252475142479,
-0.02009199932217598,
-0.013212309218943119,
-0.029886044561862946,
0.08454500883817673,
-0.02997688204050064,
0.015637246891856194,
0.01908259652554989,
-0.03860078379511833,
-0.015104206278920174,
0.028248673304915428,
-0.0855071172118187,
-0.05925353989005089,
0.016416633501648903,
0.03185538202524185,
-0.01683255098760128,
0.04916440322995186,
0.01951458491384983,
-0.01579989120364189,
-0.02225704863667488,
-0.10799648612737656,
-0.04654965177178383,
0.033181942999362946,
0.04772556945681572,
0.07168453186750412,
-0.0036909582559019327,
0.06545905023813248,
-0.011804142035543919,
0.033541686832904816,
0.08321059495210648,
0.042326685041189194,
-0.003071241080760956,
-0.11431992053985596,
0.044193726032972336,
-0.07502598315477371,
-0.04795638471841812,
0.05238825082778931,
0.008973099291324615,
0.02904346026480198,
-0.003497256198897958,
0.08544505387544632,
0.011332345195114613,
0.018208900466561317,
-0.06770436465740204,
-0.02198503352701664,
-0.022118864580988884,
-0.03282581642270088,
0.03629205375909805,
-0.009059417992830276,
-0.07179224491119385,
-0.03733061999082565,
-0.008512023836374283,
-0.04051244258880615,
0.016718721017241478,
0.1006786897778511,
0.0009021703153848648,
-0.006600098684430122,
0.025037415325641632,
0.11304795742034912,
-0.07588814198970795,
0.05418739095330238,
-0.04586467519402504,
-0.0005358482012525201,
-0.004583978559821844,
0.0761355459690094,
-0.055869199335575104,
0.02765520103275776,
-0.07778802514076233,
-0.0462406687438488,
-0.06953214854001999,
-0.0376247875392437,
0.048190340399742126,
-0.02894289419054985,
-0.0017710898537188768,
-0.030110932886600494,
-0.01452588103711605,
0.04793935269117355,
0.014287705533206463,
0.027153778821229935,
-0.10070040076971054,
0.037517525255680084,
-0.020856201648712158,
-0.03213117644190788,
-0.017234206199645996,
0.019312137737870216,
-0.025144506245851517,
0.05335225537419319,
-0.017096087336540222,
0.0014650264056399465,
0.0668795108795166,
0.024409569799900055,
-0.009259038604795933,
0.022217901423573494,
0.00656865956261754,
-4.1645241210199225e-33,
-0.01201719418168068,
0.03529469296336174,
0.03496848791837692,
-0.012882371433079243,
0.04264706000685692,
-0.057881105691194534,
0.06536503881216049,
0.024166004732251167,
0.11484387516975403,
-0.020941104739904404,
-0.021702053025364876,
0.05871181935071945,
-0.14968034625053406,
0.02373654395341873,
-0.029276667162775993,
0.0183552373200655,
-0.03187479078769684,
-0.07875975221395493,
0.0037925520446151495,
0.04177245497703552,
0.01493932493031025,
-0.06568341702222824,
-0.0451071560382843,
-0.03449734300374985,
-0.04690907150506973,
-0.020242583006620407,
0.006871378049254417,
0.012249031104147434,
0.06355306506156921,
-0.06544985622167587,
-0.015470808371901512,
-0.02169807441532612,
0.020701909437775612,
-0.0005853188340552151,
0.018270093947649002,
-0.025139067322015762,
0.13940048217773438,
0.027660202234983444,
-0.055539075285196304,
-0.031244242563843727,
-0.023369375616312027,
0.13511696457862854,
-0.03963594511151314,
-0.10798543691635132,
0.028289638459682465,
0.14439797401428223,
0.03599543869495392,
-0.01813880354166031,
0.01686362735927105,
-0.06234077364206314,
0.015149975195527077,
-0.003673443803563714,
0.039076246321201324,
0.04682120680809021,
0.043942466378211975,
-0.0493791364133358,
-0.0034341588616371155,
0.006724582985043526,
0.014095216989517212,
-0.010600979439914227,
0.05035997927188873,
-0.019689057022333145,
-0.02149980328977108,
-0.0967315286397934,
-0.08060342073440552,
0.05170733109116554,
0.010215616784989834,
0.049435313791036606,
-0.004385927226394415,
-0.019518638029694557,
-0.0007091240840964019,
-0.064885713160038,
0.07112863659858704,
-0.061932552605867386,
-0.047842662781476974,
-0.030592767521739006,
-0.06517063081264496,
-0.021693900227546692,
-0.023392735049128532,
0.04389933496713638,
0.018461080268025398,
0.0790158212184906,
-0.02076556161046028,
0.0016095907194539905,
-0.014113698154687881,
0.04321633279323578,
0.05279999226331711,
-0.016089925542473793,
0.009769866243004799,
-0.03210906684398651,
-0.012248181737959385,
0.020893113687634468,
0.0036039187107235193,
0.09487546980381012,
0.029966024681925774,
-5.4829229156894144e-8,
-0.02906527929008007,
-0.03614392876625061,
0.01655345968902111,
0.0011564695741981268,
-0.033795055001974106,
-0.01712849549949169,
0.04796445742249489,
0.008315331302583218,
0.06728148460388184,
-0.06064741685986519,
-0.02349040098488331,
0.015280649997293949,
0.001821781974285841,
-0.0314943790435791,
-0.05653366446495056,
0.049141060560941696,
-0.0010752527741715312,
-0.02116091363132,
0.027091193944215775,
0.03808342665433884,
0.011896101757884026,
-0.04294205829501152,
0.15648245811462402,
-0.013400542549788952,
-0.054916948080062866,
0.04377538710832596,
0.03561616316437721,
-0.02523418888449669,
0.030062468722462654,
-0.04940156266093254,
-0.014810921624302864,
-0.012162749655544758,
0.011303268373012543,
0.0016039129113778472,
0.01616811938583851,
-0.0023538556415587664,
-0.008617906831204891,
-0.01834341697394848,
0.06874547153711319,
0.13517078757286072,
-0.021776419132947922,
-0.05091337859630585,
0.02706724964082241,
0.038026150315999985,
0.1817478984594345,
0.005564935505390167,
-0.005141194444149733,
0.014239232987165451,
-0.03237535431981087,
-0.035600826144218445,
0.060351621359586716,
0.004827278666198254,
-0.07004062086343765,
0.014415452256798744,
0.023567896336317062,
0.0698060467839241,
0.06427618116140366,
-0.07096198946237564,
-0.005864536389708519,
0.007578670512884855,
0.032991036772727966,
-0.06505180150270462,
-0.024449873715639114,
-0.034801799803972244
] | null | null | null | null | null | null | null | [
0.07904914766550064,
-0.03753117471933365,
0.008556944318115711,
-0.04901601001620293,
-0.06541693955659866,
-0.06574676930904388,
0.07969518005847931,
0.14218361675739288,
0.07581101357936859,
-0.014507380314171314,
0.010424232110381126,
-0.07698245346546173,
0.13380621373653412,
0.05322825908660889,
-0.02854086272418499,
-0.10291650891304016,
0.10200844705104828,
-0.01656094193458557,
-0.029504679143428802,
-0.0016446110093966126,
-0.007803484331816435,
0.022230427712202072,
-0.059867970645427704,
0.02415269799530506,
-0.01794254779815674,
-0.09706365317106247,
-0.05419009178876877,
-0.054434459656476974,
-0.059597887098789215,
-0.0031091901473701,
0.007643401622772217,
0.06551358848810196,
-0.03524070605635643,
-0.01706010103225708,
0.041947588324546814,
-0.08526065200567245,
-0.04157961905002594,
-0.04096498340368271,
-0.0861913412809372,
0.009837023913860321,
-0.021881794556975365,
-0.013933537527918816,
-0.02557002194225788,
0.019863633438944817,
0.03007204644382,
-0.04542899131774902,
0.01646221987903118,
-0.044183991849422455,
-0.033341191709041595,
0.016596095636487007,
0.021823668852448463,
0.03160884603857994,
-0.006720124278217554,
0.04330546408891678,
0.009845013730227947,
-0.1148693859577179,
-0.0067396922968328,
0.0030386685393750668,
-0.026373984292149544,
0.08357510715723038,
-0.06902012228965759,
0.033213019371032715,
-0.0740959420800209,
-0.03367530554533005,
0.1301828920841217,
0.07565154880285263,
0.0690661147236824,
-0.0034617003984749317,
0.06080532819032669,
-0.02253180369734764,
-0.04958952218294144,
0.03200381621718407,
-0.06892260909080505,
0.007322534453123808,
-0.10448161512613297,
-0.10123809427022934,
0.030133847147226334,
0.07681413739919662,
-0.007868081331253052,
-0.0572943389415741,
-0.0005490139010362327,
0.008957506157457829,
0.016129128634929657,
-0.04157756641507149,
0.04613267630338669,
0.03628385439515114,
0.010754666291177273,
0.16093920171260834,
-0.002378529403358698,
0.04438445344567299,
0.005647298879921436,
0.10331498831510544,
-0.11828944087028503,
0.06419768184423447,
0.03456202521920204,
-0.014337950386106968,
-0.046261321753263474,
-0.03198214992880821,
0.0973367691040039,
0.018091659992933273,
0.026179008185863495,
-0.07953532785177231,
-0.04887539520859718,
0.034593380987644196,
-0.017079075798392296,
-0.026450874283909798,
0.06486324220895767,
0.017701515927910805,
-0.044248439371585846,
-0.014720259234309196,
-0.058189112693071365,
0.034456443041563034,
0.009905030950903893,
0.010568506084382534,
0.04899854585528374,
0.057066041976213455,
0.006050849333405495,
0.009659042581915855,
0.027416380122303963,
-0.0395212359726429,
0.021240996196866035,
-0.07064371556043625,
0.02268810197710991,
-0.05652442201972008,
-0.018282700330018997,
-0.007402841467410326,
0.049806393682956696,
3.71800414299443e-33,
-0.03701058030128479,
0.012120252475142479,
-0.02009199932217598,
-0.013212309218943119,
-0.029886044561862946,
0.08454500883817673,
-0.02997688204050064,
0.015637246891856194,
0.01908259652554989,
-0.03860078379511833,
-0.015104206278920174,
0.028248673304915428,
-0.0855071172118187,
-0.05925353989005089,
0.016416633501648903,
0.03185538202524185,
-0.01683255098760128,
0.04916440322995186,
0.01951458491384983,
-0.01579989120364189,
-0.02225704863667488,
-0.10799648612737656,
-0.04654965177178383,
0.033181942999362946,
0.04772556945681572,
0.07168453186750412,
-0.0036909582559019327,
0.06545905023813248,
-0.011804142035543919,
0.033541686832904816,
0.08321059495210648,
0.042326685041189194,
-0.003071241080760956,
-0.11431992053985596,
0.044193726032972336,
-0.07502598315477371,
-0.04795638471841812,
0.05238825082778931,
0.008973099291324615,
0.02904346026480198,
-0.003497256198897958,
0.08544505387544632,
0.011332345195114613,
0.018208900466561317,
-0.06770436465740204,
-0.02198503352701664,
-0.022118864580988884,
-0.03282581642270088,
0.03629205375909805,
-0.009059417992830276,
-0.07179224491119385,
-0.03733061999082565,
-0.008512023836374283,
-0.04051244258880615,
0.016718721017241478,
0.1006786897778511,
0.0009021703153848648,
-0.006600098684430122,
0.025037415325641632,
0.11304795742034912,
-0.07588814198970795,
0.05418739095330238,
-0.04586467519402504,
-0.0005358482012525201,
-0.004583978559821844,
0.0761355459690094,
-0.055869199335575104,
0.02765520103275776,
-0.07778802514076233,
-0.0462406687438488,
-0.06953214854001999,
-0.0376247875392437,
0.048190340399742126,
-0.02894289419054985,
-0.0017710898537188768,
-0.030110932886600494,
-0.01452588103711605,
0.04793935269117355,
0.014287705533206463,
0.027153778821229935,
-0.10070040076971054,
0.037517525255680084,
-0.020856201648712158,
-0.03213117644190788,
-0.017234206199645996,
0.019312137737870216,
-0.025144506245851517,
0.05335225537419319,
-0.017096087336540222,
0.0014650264056399465,
0.0668795108795166,
0.024409569799900055,
-0.009259038604795933,
0.022217901423573494,
0.00656865956261754,
-4.1645241210199225e-33,
-0.01201719418168068,
0.03529469296336174,
0.03496848791837692,
-0.012882371433079243,
0.04264706000685692,
-0.057881105691194534,
0.06536503881216049,
0.024166004732251167,
0.11484387516975403,
-0.020941104739904404,
-0.021702053025364876,
0.05871181935071945,
-0.14968034625053406,
0.02373654395341873,
-0.029276667162775993,
0.0183552373200655,
-0.03187479078769684,
-0.07875975221395493,
0.0037925520446151495,
0.04177245497703552,
0.01493932493031025,
-0.06568341702222824,
-0.0451071560382843,
-0.03449734300374985,
-0.04690907150506973,
-0.020242583006620407,
0.006871378049254417,
0.012249031104147434,
0.06355306506156921,
-0.06544985622167587,
-0.015470808371901512,
-0.02169807441532612,
0.020701909437775612,
-0.0005853188340552151,
0.018270093947649002,
-0.025139067322015762,
0.13940048217773438,
0.027660202234983444,
-0.055539075285196304,
-0.031244242563843727,
-0.023369375616312027,
0.13511696457862854,
-0.03963594511151314,
-0.10798543691635132,
0.028289638459682465,
0.14439797401428223,
0.03599543869495392,
-0.01813880354166031,
0.01686362735927105,
-0.06234077364206314,
0.015149975195527077,
-0.003673443803563714,
0.039076246321201324,
0.04682120680809021,
0.043942466378211975,
-0.0493791364133358,
-0.0034341588616371155,
0.006724582985043526,
0.014095216989517212,
-0.010600979439914227,
0.05035997927188873,
-0.019689057022333145,
-0.02149980328977108,
-0.0967315286397934,
-0.08060342073440552,
0.05170733109116554,
0.010215616784989834,
0.049435313791036606,
-0.004385927226394415,
-0.019518638029694557,
-0.0007091240840964019,
-0.064885713160038,
0.07112863659858704,
-0.061932552605867386,
-0.047842662781476974,
-0.030592767521739006,
-0.06517063081264496,
-0.021693900227546692,
-0.023392735049128532,
0.04389933496713638,
0.018461080268025398,
0.0790158212184906,
-0.02076556161046028,
0.0016095907194539905,
-0.014113698154687881,
0.04321633279323578,
0.05279999226331711,
-0.016089925542473793,
0.009769866243004799,
-0.03210906684398651,
-0.012248181737959385,
0.020893113687634468,
0.0036039187107235193,
0.09487546980381012,
0.029966024681925774,
-5.4829229156894144e-8,
-0.02906527929008007,
-0.03614392876625061,
0.01655345968902111,
0.0011564695741981268,
-0.033795055001974106,
-0.01712849549949169,
0.04796445742249489,
0.008315331302583218,
0.06728148460388184,
-0.06064741685986519,
-0.02349040098488331,
0.015280649997293949,
0.001821781974285841,
-0.0314943790435791,
-0.05653366446495056,
0.049141060560941696,
-0.0010752527741715312,
-0.02116091363132,
0.027091193944215775,
0.03808342665433884,
0.011896101757884026,
-0.04294205829501152,
0.15648245811462402,
-0.013400542549788952,
-0.054916948080062866,
0.04377538710832596,
0.03561616316437721,
-0.02523418888449669,
0.030062468722462654,
-0.04940156266093254,
-0.014810921624302864,
-0.012162749655544758,
0.011303268373012543,
0.0016039129113778472,
0.01616811938583851,
-0.0023538556415587664,
-0.008617906831204891,
-0.01834341697394848,
0.06874547153711319,
0.13517078757286072,
-0.021776419132947922,
-0.05091337859630585,
0.02706724964082241,
0.038026150315999985,
0.1817478984594345,
0.005564935505390167,
-0.005141194444149733,
0.014239232987165451,
-0.03237535431981087,
-0.035600826144218445,
0.060351621359586716,
0.004827278666198254,
-0.07004062086343765,
0.014415452256798744,
0.023567896336317062,
0.0698060467839241,
0.06427618116140366,
-0.07096198946237564,
-0.005864536389708519,
0.007578670512884855,
0.032991036772727966,
-0.06505180150270462,
-0.024449873715639114,
-0.034801799803972244
] |
1401.1605 | James Hensman | James Hensman and Magnus Rattray and Neil D. Lawrence | Fast nonparametric clustering of structured time-series | Accepted for publication in special edition of TPAMI on Bayesian
Nonparametrics | null | null | null | cs.LG cs.CV stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this publication, we combine two Bayesian non-parametric models: the
Gaussian Process (GP) and the Dirichlet Process (DP). Our innovation in the GP
model is to introduce a variation on the GP prior which enables us to model
structured time-series data, i.e. data containing groups where we wish to model
inter- and intra-group variability. Our innovation in the DP model is an
implementation of a new fast collapsed variational inference procedure which
enables us to optimize our variationala pproximation significantly faster than
standard VB approaches. In a biological time series application we show how our
model better captures salient features of the data, leading to better
consistency with existing biological classifications, while the associated
inference algorithm provides a twofold speed-up over EM-based variational
inference.
| [
{
"created": "Wed, 8 Jan 2014 08:47:44 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2014 08:04:46 GMT",
"version": "v2"
}
] | 2014-04-15 | [
[
"Hensman",
"James",
""
],
[
"Rattray",
"Magnus",
""
],
[
"Lawrence",
"Neil D.",
""
]
] | [
-0.07917783409357071,
-0.11302507668733597,
0.052690908312797546,
-0.041345786303281784,
0.030831780284643173,
0.003830135567113757,
-0.06033627688884735,
0.0018468251219019294,
0.04898378998041153,
-0.05040692538022995,
0.04507440701127052,
-0.003415570594370365,
-0.039869535714387894,
0.013269724324345589,
-0.0649358332157135,
-0.026595618575811386,
0.032755047082901,
0.013474148698151112,
-0.05203218013048172,
-0.0366632416844368,
0.003285554936155677,
0.107030488550663,
-0.000025788438506424427,
0.00821592565625906,
0.002454285742715001,
0.0016393985133618116,
0.050815045833587646,
0.0659484714269638,
0.03286096453666687,
-0.0036995469126850367,
0.05015453323721886,
0.04672660678625107,
-0.025219613686203957,
-0.043449923396110535,
-0.008961946703493595,
0.03328666836023331,
-0.0032146659214049578,
0.037431344389915466,
-0.02594844251871109,
0.04945853352546692,
0.010639267973601818,
0.041892725974321365,
-0.03755086660385132,
0.12350078672170639,
0.02914871834218502,
0.011310989037156105,
-0.021042577922344208,
-0.052185893058776855,
0.014487900771200657,
0.00172413291875273,
0.035694319754838943,
0.007348884828388691,
-0.06595205515623093,
0.06022374704480171,
-0.0136669110506773,
-0.0022152885794639587,
-0.034999508410692215,
-0.06551991403102875,
0.024124596267938614,
-0.07114424556493759,
0.0019060441991314292,
-0.05954839289188385,
-0.023485179990530014,
-0.006616680882871151,
-0.0011173785896971822,
0.09201420843601227,
0.03371497988700867,
0.02825765684247017,
0.03966052085161209,
0.005988358519971371,
-0.008821108378469944,
0.10254756361246109,
-0.09863918274641037,
0.03133285790681839,
-0.1164696216583252,
-0.037485335022211075,
0.043714217841625214,
0.018673209473490715,
0.058048855513334274,
-0.10829027742147446,
-0.05144612118601799,
-0.03477087989449501,
-0.017085323110222816,
-0.014134223572909832,
0.08245192468166351,
0.005832245573401451,
0.02525876648724079,
0.063880555331707,
-0.05531502515077591,
0.017707085236907005,
-0.028935745358467102,
0.035045403987169266,
0.057124823331832886,
-0.08307618647813797,
-0.018976684659719467,
0.015888530761003494,
0.02170318365097046,
-0.0687321349978447,
0.0870637446641922,
0.07345269620418549,
-0.017334043979644775,
0.04006851837038994,
0.02935292012989521,
-0.001220386940985918,
0.020737433806061745,
-0.10453035682439804,
0.018291499465703964,
0.0685470774769783,
-0.0003354925138410181,
-0.008491041138768196,
0.01421596109867096,
0.08407348394393921,
0.03292855992913246,
0.04293309524655342,
-0.03170140087604523,
-0.0810110867023468,
0.09750714898109436,
-0.0359954759478569,
0.06565183401107788,
0.03735950589179993,
0.038039010018110275,
0.033718034625053406,
-0.04433000460267067,
0.03415916860103607,
0.022309256717562675,
0.012885862030088902,
-0.030225276947021484,
-1.3306369906399006e-34,
0.04482465982437134,
-0.11235697567462921,
0.10933192819356918,
0.010729780420660973,
-0.036227308213710785,
0.0733259841799736,
-0.1076488345861435,
-0.06640835106372833,
-0.06936462968587875,
0.02770535834133625,
-0.06577853858470917,
-0.05597025156021118,
-0.09227778017520905,
-0.007289692759513855,
0.0078247906640172,
0.03399137035012245,
-0.09313003718852997,
0.0823034793138504,
0.018815092742443085,
0.004303677007555962,
0.04631167650222778,
-0.014303881675004959,
-0.013281561434268951,
-0.015352650545537472,
-0.06316783279180527,
-0.0131950993090868,
0.019709371030330658,
-0.044539399445056915,
-0.04921073839068413,
0.0027402988635003567,
-0.11170124262571335,
0.01665249466896057,
-0.03551137447357178,
0.0364130437374115,
0.031251147389411926,
-0.013805011287331581,
0.10140756517648697,
-0.022922104224562645,
0.1080319732427597,
-0.05844133719801903,
-0.006130756810307503,
-0.04472905024886131,
0.06147437542676926,
-0.10094191879034042,
-0.08921819180250168,
-0.05187991261482239,
0.06869220733642578,
-0.016196172684431076,
0.03845428675413132,
-0.042406413704156876,
0.0006016376428306103,
-0.04224210977554321,
0.08868443220853806,
-0.03162902593612671,
-0.036725662648677826,
-0.015757642686367035,
-0.028630806133151054,
0.05197043716907501,
-0.052176862955093384,
0.05007140338420868,
0.04811384528875351,
0.11903256922960281,
-0.03376257047057152,
-0.013686824589967728,
0.018969109281897545,
0.011817713268101215,
-0.03910380229353905,
0.06155652180314064,
0.004545369651168585,
0.0350830964744091,
0.03451679274439812,
-0.009612994268536568,
0.005254100542515516,
-0.07998473942279816,
0.06708260625600815,
0.020709030330181122,
0.02046998031437397,
0.007086493540555239,
-0.08020251989364624,
0.002653926843777299,
-0.03874088451266289,
-0.08105991780757904,
-0.030502747744321823,
0.03701644018292427,
-0.035575177520513535,
-0.014006170444190502,
0.04540112242102623,
-0.002417540643364191,
-0.095882348716259,
-0.061054669320583344,
-0.056774433702230453,
0.062091197818517685,
-0.005357033107429743,
0.06932618468999863,
-0.013645466417074203,
-8.95750480720088e-34,
-0.06534744799137115,
-0.021759724244475365,
0.11523561179637909,
0.024066755548119545,
0.0486132949590683,
0.0009128902456723154,
-0.016168126836419106,
0.012169322930276394,
0.05718228593468666,
-0.04013433679938316,
-0.03402073681354523,
0.007717328146100044,
0.02652519755065441,
-0.03510957583785057,
-0.03476914018392563,
0.01381769124418497,
0.012088128365576267,
0.06964040547609329,
0.00002770665923890192,
-0.06695409119129181,
-0.04322298988699913,
-0.0064771175384521484,
-0.03537463769316673,
-0.043516941368579865,
-0.04605216905474663,
0.06163374334573746,
-0.0007495281170122325,
0.09870556741952896,
-0.02480960078537464,
-0.021043293178081512,
-0.08943410962820053,
0.005928346887230873,
0.0007878661272116005,
-0.0917978584766388,
-0.08927028626203537,
0.10405956953763962,
0.03804684802889824,
0.07539927214384079,
0.04208025336265564,
-0.005130236502736807,
-0.015666848048567772,
0.0757027268409729,
-0.04685914143919945,
-0.007155463099479675,
0.0489630363881588,
-0.006089971866458654,
0.06826437264680862,
-0.006425163708627224,
-0.035607121884822845,
0.03224675729870796,
0.0012069991789758205,
0.08059634268283844,
-0.04320252314209938,
0.05587838590145111,
-0.02915826626121998,
-0.046932801604270935,
-0.012252012267708778,
-0.1751263588666916,
-0.018413688987493515,
-0.006423929240554571,
-0.03472570702433586,
-0.022236378863453865,
-0.03885064274072647,
0.014643928967416286,
0.014887298457324505,
-0.03569570556282997,
0.05179490149021149,
-0.04737049713730812,
-0.019421901553869247,
0.03295775130391121,
0.03868604823946953,
0.00011736791930161417,
-0.03543117642402649,
-0.011808332987129688,
0.09889263659715652,
-0.026315007358789444,
0.019946284592151642,
-0.006088544614613056,
-0.03573020175099373,
-0.024581653997302055,
0.03835850954055786,
-0.05113296955823898,
0.03568800538778305,
0.00685644568875432,
-0.030945125967264175,
0.04400705546140671,
0.013696100562810898,
-0.023978816345334053,
0.05594484508037567,
0.057995282113552094,
-0.08030600100755692,
-0.016357921063899994,
0.007830332033336163,
0.09714090824127197,
-0.04877932742238045,
-4.2416751000473596e-8,
0.07220606505870819,
0.07221478968858719,
0.03607071191072464,
0.004469274543225765,
0.025718212127685547,
-0.026800869032740593,
-0.02720382623374462,
0.11304805427789688,
0.07842272520065308,
-0.03290862217545509,
0.024085750803351402,
-0.05128132551908493,
0.034797050058841705,
-0.006024893373250961,
0.049807995557785034,
0.12254994362592697,
0.025187771767377853,
-0.014982085675001144,
0.0007410634425468743,
-0.017816733568906784,
-0.015445803292095661,
-0.00777449831366539,
0.011573669500648975,
0.009940885938704014,
0.0724710151553154,
-0.06242137402296066,
-0.05096383020281792,
0.040614839643239975,
0.05840030685067177,
-0.022343091666698456,
0.024347154423594475,
0.05003221705555916,
-0.047118913382291794,
0.03593002259731293,
-0.06525953114032745,
0.019432635977864265,
-0.0226953886449337,
0.030114248394966125,
-0.06662912666797638,
-0.057242635637521744,
-0.0844477042555809,
0.03277634084224701,
-0.12963077425956726,
0.05320948362350464,
0.05715213716030121,
-0.0013626385480165482,
0.06064796447753906,
-0.06653636693954468,
0.062080852687358856,
0.043234933167696,
0.06623052060604095,
0.0029664465691894293,
0.024830391630530357,
0.01627190224826336,
-0.00601519038900733,
0.07164771109819412,
0.0651530846953392,
-0.07832557708024979,
0.0862494707107544,
-0.08848637342453003,
0.01933872140944004,
-0.005584597121924162,
-0.08370864391326904,
0.007148833479732275
] | null | null | null | null | null | null | null | [
-0.07917783409357071,
-0.11302507668733597,
0.052690908312797546,
-0.041345786303281784,
0.030831780284643173,
0.003830135567113757,
-0.06033627688884735,
0.0018468251219019294,
0.04898378998041153,
-0.05040692538022995,
0.04507440701127052,
-0.003415570594370365,
-0.039869535714387894,
0.013269724324345589,
-0.0649358332157135,
-0.026595618575811386,
0.032755047082901,
0.013474148698151112,
-0.05203218013048172,
-0.0366632416844368,
0.003285554936155677,
0.107030488550663,
-0.000025788438506424427,
0.00821592565625906,
0.002454285742715001,
0.0016393985133618116,
0.050815045833587646,
0.0659484714269638,
0.03286096453666687,
-0.0036995469126850367,
0.05015453323721886,
0.04672660678625107,
-0.025219613686203957,
-0.043449923396110535,
-0.008961946703493595,
0.03328666836023331,
-0.0032146659214049578,
0.037431344389915466,
-0.02594844251871109,
0.04945853352546692,
0.010639267973601818,
0.041892725974321365,
-0.03755086660385132,
0.12350078672170639,
0.02914871834218502,
0.011310989037156105,
-0.021042577922344208,
-0.052185893058776855,
0.014487900771200657,
0.00172413291875273,
0.035694319754838943,
0.007348884828388691,
-0.06595205515623093,
0.06022374704480171,
-0.0136669110506773,
-0.0022152885794639587,
-0.034999508410692215,
-0.06551991403102875,
0.024124596267938614,
-0.07114424556493759,
0.0019060441991314292,
-0.05954839289188385,
-0.023485179990530014,
-0.006616680882871151,
-0.0011173785896971822,
0.09201420843601227,
0.03371497988700867,
0.02825765684247017,
0.03966052085161209,
0.005988358519971371,
-0.008821108378469944,
0.10254756361246109,
-0.09863918274641037,
0.03133285790681839,
-0.1164696216583252,
-0.037485335022211075,
0.043714217841625214,
0.018673209473490715,
0.058048855513334274,
-0.10829027742147446,
-0.05144612118601799,
-0.03477087989449501,
-0.017085323110222816,
-0.014134223572909832,
0.08245192468166351,
0.005832245573401451,
0.02525876648724079,
0.063880555331707,
-0.05531502515077591,
0.017707085236907005,
-0.028935745358467102,
0.035045403987169266,
0.057124823331832886,
-0.08307618647813797,
-0.018976684659719467,
0.015888530761003494,
0.02170318365097046,
-0.0687321349978447,
0.0870637446641922,
0.07345269620418549,
-0.017334043979644775,
0.04006851837038994,
0.02935292012989521,
-0.001220386940985918,
0.020737433806061745,
-0.10453035682439804,
0.018291499465703964,
0.0685470774769783,
-0.0003354925138410181,
-0.008491041138768196,
0.01421596109867096,
0.08407348394393921,
0.03292855992913246,
0.04293309524655342,
-0.03170140087604523,
-0.0810110867023468,
0.09750714898109436,
-0.0359954759478569,
0.06565183401107788,
0.03735950589179993,
0.038039010018110275,
0.033718034625053406,
-0.04433000460267067,
0.03415916860103607,
0.022309256717562675,
0.012885862030088902,
-0.030225276947021484,
-1.3306369906399006e-34,
0.04482465982437134,
-0.11235697567462921,
0.10933192819356918,
0.010729780420660973,
-0.036227308213710785,
0.0733259841799736,
-0.1076488345861435,
-0.06640835106372833,
-0.06936462968587875,
0.02770535834133625,
-0.06577853858470917,
-0.05597025156021118,
-0.09227778017520905,
-0.007289692759513855,
0.0078247906640172,
0.03399137035012245,
-0.09313003718852997,
0.0823034793138504,
0.018815092742443085,
0.004303677007555962,
0.04631167650222778,
-0.014303881675004959,
-0.013281561434268951,
-0.015352650545537472,
-0.06316783279180527,
-0.0131950993090868,
0.019709371030330658,
-0.044539399445056915,
-0.04921073839068413,
0.0027402988635003567,
-0.11170124262571335,
0.01665249466896057,
-0.03551137447357178,
0.0364130437374115,
0.031251147389411926,
-0.013805011287331581,
0.10140756517648697,
-0.022922104224562645,
0.1080319732427597,
-0.05844133719801903,
-0.006130756810307503,
-0.04472905024886131,
0.06147437542676926,
-0.10094191879034042,
-0.08921819180250168,
-0.05187991261482239,
0.06869220733642578,
-0.016196172684431076,
0.03845428675413132,
-0.042406413704156876,
0.0006016376428306103,
-0.04224210977554321,
0.08868443220853806,
-0.03162902593612671,
-0.036725662648677826,
-0.015757642686367035,
-0.028630806133151054,
0.05197043716907501,
-0.052176862955093384,
0.05007140338420868,
0.04811384528875351,
0.11903256922960281,
-0.03376257047057152,
-0.013686824589967728,
0.018969109281897545,
0.011817713268101215,
-0.03910380229353905,
0.06155652180314064,
0.004545369651168585,
0.0350830964744091,
0.03451679274439812,
-0.009612994268536568,
0.005254100542515516,
-0.07998473942279816,
0.06708260625600815,
0.020709030330181122,
0.02046998031437397,
0.007086493540555239,
-0.08020251989364624,
0.002653926843777299,
-0.03874088451266289,
-0.08105991780757904,
-0.030502747744321823,
0.03701644018292427,
-0.035575177520513535,
-0.014006170444190502,
0.04540112242102623,
-0.002417540643364191,
-0.095882348716259,
-0.061054669320583344,
-0.056774433702230453,
0.062091197818517685,
-0.005357033107429743,
0.06932618468999863,
-0.013645466417074203,
-8.95750480720088e-34,
-0.06534744799137115,
-0.021759724244475365,
0.11523561179637909,
0.024066755548119545,
0.0486132949590683,
0.0009128902456723154,
-0.016168126836419106,
0.012169322930276394,
0.05718228593468666,
-0.04013433679938316,
-0.03402073681354523,
0.007717328146100044,
0.02652519755065441,
-0.03510957583785057,
-0.03476914018392563,
0.01381769124418497,
0.012088128365576267,
0.06964040547609329,
0.00002770665923890192,
-0.06695409119129181,
-0.04322298988699913,
-0.0064771175384521484,
-0.03537463769316673,
-0.043516941368579865,
-0.04605216905474663,
0.06163374334573746,
-0.0007495281170122325,
0.09870556741952896,
-0.02480960078537464,
-0.021043293178081512,
-0.08943410962820053,
0.005928346887230873,
0.0007878661272116005,
-0.0917978584766388,
-0.08927028626203537,
0.10405956953763962,
0.03804684802889824,
0.07539927214384079,
0.04208025336265564,
-0.005130236502736807,
-0.015666848048567772,
0.0757027268409729,
-0.04685914143919945,
-0.007155463099479675,
0.0489630363881588,
-0.006089971866458654,
0.06826437264680862,
-0.006425163708627224,
-0.035607121884822845,
0.03224675729870796,
0.0012069991789758205,
0.08059634268283844,
-0.04320252314209938,
0.05587838590145111,
-0.02915826626121998,
-0.046932801604270935,
-0.012252012267708778,
-0.1751263588666916,
-0.018413688987493515,
-0.006423929240554571,
-0.03472570702433586,
-0.022236378863453865,
-0.03885064274072647,
0.014643928967416286,
0.014887298457324505,
-0.03569570556282997,
0.05179490149021149,
-0.04737049713730812,
-0.019421901553869247,
0.03295775130391121,
0.03868604823946953,
0.00011736791930161417,
-0.03543117642402649,
-0.011808332987129688,
0.09889263659715652,
-0.026315007358789444,
0.019946284592151642,
-0.006088544614613056,
-0.03573020175099373,
-0.024581653997302055,
0.03835850954055786,
-0.05113296955823898,
0.03568800538778305,
0.00685644568875432,
-0.030945125967264175,
0.04400705546140671,
0.013696100562810898,
-0.023978816345334053,
0.05594484508037567,
0.057995282113552094,
-0.08030600100755692,
-0.016357921063899994,
0.007830332033336163,
0.09714090824127197,
-0.04877932742238045,
-4.2416751000473596e-8,
0.07220606505870819,
0.07221478968858719,
0.03607071191072464,
0.004469274543225765,
0.025718212127685547,
-0.026800869032740593,
-0.02720382623374462,
0.11304805427789688,
0.07842272520065308,
-0.03290862217545509,
0.024085750803351402,
-0.05128132551908493,
0.034797050058841705,
-0.006024893373250961,
0.049807995557785034,
0.12254994362592697,
0.025187771767377853,
-0.014982085675001144,
0.0007410634425468743,
-0.017816733568906784,
-0.015445803292095661,
-0.00777449831366539,
0.011573669500648975,
0.009940885938704014,
0.0724710151553154,
-0.06242137402296066,
-0.05096383020281792,
0.040614839643239975,
0.05840030685067177,
-0.022343091666698456,
0.024347154423594475,
0.05003221705555916,
-0.047118913382291794,
0.03593002259731293,
-0.06525953114032745,
0.019432635977864265,
-0.0226953886449337,
0.030114248394966125,
-0.06662912666797638,
-0.057242635637521744,
-0.0844477042555809,
0.03277634084224701,
-0.12963077425956726,
0.05320948362350464,
0.05715213716030121,
-0.0013626385480165482,
0.06064796447753906,
-0.06653636693954468,
0.062080852687358856,
0.043234933167696,
0.06623052060604095,
0.0029664465691894293,
0.024830391630530357,
0.01627190224826336,
-0.00601519038900733,
0.07164771109819412,
0.0651530846953392,
-0.07832557708024979,
0.0862494707107544,
-0.08848637342453003,
0.01933872140944004,
-0.005584597121924162,
-0.08370864391326904,
0.007148833479732275
] |
1401.1619 | Vincenzo Galdi | Silvio Savoia, Giuseppe Castaldi, Vincenzo Galdi, Andrea Alu', Nader
Engheta | Tunneling of Obliquely-Incident Waves through PT-Symmetric
Epsilon-Near-Zero Bi-Layers | 11 pages, 12 figures (minor revisions in the text and figures) | null | 10.1103/PhysRevB.89.085105 | null | physics.optics cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that obliquely-incident, transversely-magnetic-polarized plane waves
can be totally transmitted (with zero reflection) through epsilon-near-zero
(ENZ) bi-layers characterized by balanced loss and gain with parity-time (PT)
symmetry. This tunneling phenomenon is mediated by the excitation of a
surface-wave localized at the interface separating the loss and gain regions.
We determine the parameter configurations for which the phenomenon may occur
and, in particular, the relationship between the incidence direction and the
electrical thickness. We show that, below a critical threshold of gain and
loss, there always exists a tunneling angle which, for moderately thick
(wavelength-sized) structures, approaches a critical value dictated by the
surface-wave phase-matching condition. We also investigate the unidirectional
character of the tunneling phenomenon, as well as the possible onset of
spontaneous symmetry breaking, typical of PT-symmetric systems. Our results
constitute an interesting example of a PT-symmetry-induced tunneling
phenomenon, and may open up intriguing venues in the applications of ENZ
materials featuring loss and gain.
| [
{
"created": "Wed, 8 Jan 2014 09:05:52 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 2014 11:46:11 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Feb 2014 13:43:57 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Savoia",
"Silvio",
""
],
[
"Castaldi",
"Giuseppe",
""
],
[
"Galdi",
"Vincenzo",
""
],
[
"Alu'",
"Andrea",
""
],
[
"Engheta",
"Nader",
""
]
] | [
-0.08803803473711014,
-0.004666516091674566,
0.060705944895744324,
0.015548375435173512,
-0.008577425964176655,
-0.009757999330759048,
0.03235577791929245,
0.0038992823101580143,
-0.03675621747970581,
0.009476250037550926,
-0.011352401226758957,
0.0036426580045372248,
-0.02829042263329029,
-0.0330086350440979,
0.16716891527175903,
0.014349830336868763,
0.0016461665509268641,
-0.03837832435965538,
0.02520190365612507,
0.05957731232047081,
-0.017436755821108818,
-0.08981344103813171,
-0.07022880017757416,
-0.035407815128564835,
0.0052416324615478516,
-0.031053762882947922,
0.07915247976779938,
-0.047442447394132614,
0.0012285014381632209,
-0.029941322281956673,
-0.03030148334801197,
0.02745693363249302,
-0.15046212077140808,
0.04583725705742836,
-0.06222349405288696,
-0.0021523060277104378,
0.08305076509714127,
0.0171651653945446,
0.04898078367114067,
-0.06314217299222946,
0.01628839410841465,
0.011918672360479832,
-0.03808318451046944,
0.0036524939350783825,
-0.039497386664152145,
0.004456996917724609,
0.10188920795917511,
0.036007851362228394,
-0.021342383697628975,
-0.10053504258394241,
0.04737693443894386,
0.08089615404605865,
-0.021984314545989037,
-0.008800022304058075,
-0.004564754664897919,
0.111810103058815,
0.026077888906002045,
0.04680148884654045,
-0.05873769521713257,
0.04612810164690018,
0.024395933374762535,
-0.052358273416757584,
-0.04847922921180725,
-0.041233208030462265,
0.0776757076382637,
-0.06822942197322845,
0.012640637345612049,
0.03110586106777191,
0.005269559565931559,
0.058572445064783096,
0.04293448477983475,
-0.01471507828682661,
-0.020389070734381676,
0.033725567162036896,
0.07758376747369766,
0.06285342574119568,
0.030854294076561928,
0.03576849773526192,
-0.08193159103393555,
0.018123015761375427,
-0.07261035591363907,
-0.04101515933871269,
-0.07370549440383911,
0.038863617926836014,
0.0322842076420784,
-0.010743776336312294,
-0.02366013079881668,
-0.02587784267961979,
-0.023138582706451416,
-0.006899798288941383,
-0.017269670963287354,
-0.009221930988132954,
-0.11351785063743591,
0.00374486087821424,
0.12160450965166092,
-0.036673761904239655,
-0.004595048725605011,
-0.07954887300729752,
0.04137236252427101,
0.039399124681949615,
0.06624945998191833,
-0.018415968865156174,
-0.00048370930016972125,
0.07193354517221451,
-0.016446977853775024,
0.020590733736753464,
0.008505262434482574,
0.05838916823267937,
-0.06188822537660599,
0.007249454967677593,
0.05117877945303917,
0.024307457730174065,
0.09548985958099365,
-0.0682283416390419,
-0.06274252384901047,
0.010128451511263847,
-0.04062208905816078,
0.03154147416353226,
0.03624540567398071,
0.03317476436495781,
-0.06038379296660423,
0.10036217421293259,
-0.0648224875330925,
0.08079123497009277,
-0.0537756085395813,
0.068890780210495,
0.06191176548600197,
-3.3957937945943484e-33,
0.03478451445698738,
0.10588844865560532,
-0.02699480578303337,
-0.01968671754002571,
-0.011364946141839027,
0.007884175516664982,
0.07735120505094528,
0.011012362316250801,
-0.03567614406347275,
0.027077563107013702,
-0.0754687562584877,
0.042070355266332626,
0.023369310423731804,
0.01111417356878519,
-0.06607377529144287,
0.05662351846694946,
0.02668384462594986,
0.016963636502623558,
-0.039413150399923325,
0.047861650586128235,
0.030134515836834908,
0.011925977654755116,
-0.04891466721892357,
0.03293474763631821,
-0.029879698529839516,
-0.05976640805602074,
0.005013244692236185,
-0.020429464057087898,
-0.02916179969906807,
-0.0007905893144197762,
-0.015995336696505547,
0.09746500104665756,
0.054230209439992905,
-0.011866020038723946,
0.10268449783325195,
-0.0026056545320898294,
0.07035654038190842,
0.03395020589232445,
0.05062330886721611,
-0.02416694536805153,
-0.04924388229846954,
-0.07264517992734909,
0.029187439009547234,
0.07324091345071793,
-0.009539608843624592,
-0.13538725674152374,
0.11771877855062485,
-0.0059986538253724575,
-0.08354514092206955,
-0.07105199992656708,
-0.0028239451348781586,
-0.03929418325424194,
-0.08549810200929642,
0.060266055166721344,
0.011404731310904026,
-0.03843410313129425,
0.08370281755924225,
-0.0178581103682518,
0.022804303094744682,
0.029539307579398155,
0.061601586639881134,
0.05256706848740578,
0.01584426313638687,
-0.019618581980466843,
-0.06669061630964279,
-0.01902696304023266,
0.04299144074320793,
-0.053208209574222565,
0.05731135979294777,
-0.058003105223178864,
0.0026287343353033066,
0.0850185751914978,
0.01151864230632782,
-0.019622310996055603,
0.08760866522789001,
-0.04386520013213158,
-0.03277882561087608,
-0.04178479686379433,
0.1594974845647812,
0.03272459656000137,
-0.04819358512759209,
0.01373203843832016,
-0.021713826805353165,
-0.010566390119493008,
-0.05778198316693306,
0.05126573145389557,
-0.029700597748160362,
-0.14334692060947418,
-0.06338075548410416,
-0.004583843983709812,
-0.03034696914255619,
-0.02098429575562477,
-0.004085646942257881,
-0.042684752494096756,
-0.023851890116930008,
-1.876046050817917e-34,
-0.021472355350852013,
-0.01586766541004181,
-0.10594891756772995,
-0.04681370034813881,
0.009591707959771156,
0.009679644368588924,
0.04098677635192871,
0.11977945268154144,
-0.03246329352259636,
0.041819389909505844,
0.11131192743778229,
-0.003043760545551777,
0.011854290962219238,
-0.06009562686085701,
-0.1040758341550827,
-0.0021200079936534166,
0.05931328609585762,
-0.005681246984750032,
0.03300299122929573,
-0.03817674145102501,
0.012769969180226326,
0.04200037568807602,
0.03006151132285595,
0.1046348586678505,
0.0431707426905632,
-0.007605778519064188,
-0.014018612913787365,
0.012453070841729641,
0.024075312539935112,
0.08731729537248611,
-0.0010748872300609946,
0.07185237854719162,
-0.010699503123760223,
0.04668445885181427,
-0.035069141536951065,
0.05173776298761368,
-0.0051730843260884285,
-0.04515102505683899,
-0.03273788094520569,
-0.037719305604696274,
0.01097586564719677,
-0.020768629387021065,
0.029439162462949753,
0.04186687991023064,
-0.01898578554391861,
-0.025541730225086212,
-0.030103085562586784,
0.020839309319853783,
-0.10580245405435562,
-0.004927442409098148,
-0.0150419557467103,
-0.04521805793046951,
0.06586876511573792,
-0.04586649686098099,
0.013160422444343567,
-0.006221413612365723,
-0.04874833673238754,
-0.013107889331877232,
0.05048231780529022,
0.15165135264396667,
-0.014170221984386444,
-0.009026922285556793,
-0.015107839368283749,
-0.05484564229846001,
-0.0073039899580180645,
-0.02209511771798134,
0.06487105786800385,
-0.04458412155508995,
0.0927027091383934,
0.0017856903141364455,
0.046197082847356796,
0.09099329262971878,
-0.03695828840136528,
-0.10789064317941666,
0.04354822263121605,
0.06932170689105988,
0.014793398790061474,
0.01857847534120083,
-0.037990499287843704,
0.00017528633179608732,
0.033658843487501144,
0.022163597866892815,
0.00786836538463831,
0.0226135291159153,
0.016427190974354744,
0.006406069733202457,
-0.10218026489019394,
0.0399945005774498,
-0.025264006108045578,
0.010656675323843956,
0.018361596390604973,
-0.09663309901952744,
-0.0014129152987152338,
-0.08845490962266922,
0.0542936734855175,
-4.8556071163829984e-8,
0.07056570798158646,
0.0239174272865057,
0.03270428627729416,
-0.013099972158670425,
-0.06428243964910507,
-0.04165871441364288,
0.013610975816845894,
-0.03541513904929161,
0.02956831082701683,
-0.03860508278012276,
-0.0525520034134388,
-0.04645051434636116,
-0.07671006768941879,
0.004572620149701834,
-0.007402833551168442,
0.055623024702072144,
0.004984969273209572,
-0.0030186986550688744,
-0.009908388368785381,
0.0011884828563779593,
-0.06747192144393921,
-0.04907742142677307,
-0.003259316086769104,
-0.04551680013537407,
0.02573772519826889,
-0.032312698662281036,
-0.040688395500183105,
-0.031318411231040955,
0.05404335632920265,
-0.000816109764855355,
-0.022067919373512268,
-0.09164543449878693,
-0.02647668495774269,
0.10447444766759872,
-0.03096695803105831,
0.03549276664853096,
-0.03712479770183563,
0.011211717501282692,
-0.019245358183979988,
-0.010539453476667404,
0.0002408537402516231,
0.05011958256363869,
0.05075297877192497,
0.02243928611278534,
-0.0024808207526803017,
0.05119454115629196,
-0.01143564097583294,
0.05011173337697983,
-0.030075352638959885,
-0.07813455909490585,
-0.01291881874203682,
0.007531632203608751,
0.05124418064951897,
-0.02889256365597248,
-0.03542422130703926,
0.0440775565803051,
-0.07188040018081665,
-0.037203576415777206,
-0.006004808936268091,
0.01002731267362833,
-0.02705703116953373,
0.06529287248849869,
-0.11561867594718933,
0.023800324648618698
] | null | null | null | null | null | null | null | [
-0.08803803473711014,
-0.004666516091674566,
0.060705944895744324,
0.015548375435173512,
-0.008577425964176655,
-0.009757999330759048,
0.03235577791929245,
0.0038992823101580143,
-0.03675621747970581,
0.009476250037550926,
-0.011352401226758957,
0.0036426580045372248,
-0.02829042263329029,
-0.0330086350440979,
0.16716891527175903,
0.014349830336868763,
0.0016461665509268641,
-0.03837832435965538,
0.02520190365612507,
0.05957731232047081,
-0.017436755821108818,
-0.08981344103813171,
-0.07022880017757416,
-0.035407815128564835,
0.0052416324615478516,
-0.031053762882947922,
0.07915247976779938,
-0.047442447394132614,
0.0012285014381632209,
-0.029941322281956673,
-0.03030148334801197,
0.02745693363249302,
-0.15046212077140808,
0.04583725705742836,
-0.06222349405288696,
-0.0021523060277104378,
0.08305076509714127,
0.0171651653945446,
0.04898078367114067,
-0.06314217299222946,
0.01628839410841465,
0.011918672360479832,
-0.03808318451046944,
0.0036524939350783825,
-0.039497386664152145,
0.004456996917724609,
0.10188920795917511,
0.036007851362228394,
-0.021342383697628975,
-0.10053504258394241,
0.04737693443894386,
0.08089615404605865,
-0.021984314545989037,
-0.008800022304058075,
-0.004564754664897919,
0.111810103058815,
0.026077888906002045,
0.04680148884654045,
-0.05873769521713257,
0.04612810164690018,
0.024395933374762535,
-0.052358273416757584,
-0.04847922921180725,
-0.041233208030462265,
0.0776757076382637,
-0.06822942197322845,
0.012640637345612049,
0.03110586106777191,
0.005269559565931559,
0.058572445064783096,
0.04293448477983475,
-0.01471507828682661,
-0.020389070734381676,
0.033725567162036896,
0.07758376747369766,
0.06285342574119568,
0.030854294076561928,
0.03576849773526192,
-0.08193159103393555,
0.018123015761375427,
-0.07261035591363907,
-0.04101515933871269,
-0.07370549440383911,
0.038863617926836014,
0.0322842076420784,
-0.010743776336312294,
-0.02366013079881668,
-0.02587784267961979,
-0.023138582706451416,
-0.006899798288941383,
-0.017269670963287354,
-0.009221930988132954,
-0.11351785063743591,
0.00374486087821424,
0.12160450965166092,
-0.036673761904239655,
-0.004595048725605011,
-0.07954887300729752,
0.04137236252427101,
0.039399124681949615,
0.06624945998191833,
-0.018415968865156174,
-0.00048370930016972125,
0.07193354517221451,
-0.016446977853775024,
0.020590733736753464,
0.008505262434482574,
0.05838916823267937,
-0.06188822537660599,
0.007249454967677593,
0.05117877945303917,
0.024307457730174065,
0.09548985958099365,
-0.0682283416390419,
-0.06274252384901047,
0.010128451511263847,
-0.04062208905816078,
0.03154147416353226,
0.03624540567398071,
0.03317476436495781,
-0.06038379296660423,
0.10036217421293259,
-0.0648224875330925,
0.08079123497009277,
-0.0537756085395813,
0.068890780210495,
0.06191176548600197,
-3.3957937945943484e-33,
0.03478451445698738,
0.10588844865560532,
-0.02699480578303337,
-0.01968671754002571,
-0.011364946141839027,
0.007884175516664982,
0.07735120505094528,
0.011012362316250801,
-0.03567614406347275,
0.027077563107013702,
-0.0754687562584877,
0.042070355266332626,
0.023369310423731804,
0.01111417356878519,
-0.06607377529144287,
0.05662351846694946,
0.02668384462594986,
0.016963636502623558,
-0.039413150399923325,
0.047861650586128235,
0.030134515836834908,
0.011925977654755116,
-0.04891466721892357,
0.03293474763631821,
-0.029879698529839516,
-0.05976640805602074,
0.005013244692236185,
-0.020429464057087898,
-0.02916179969906807,
-0.0007905893144197762,
-0.015995336696505547,
0.09746500104665756,
0.054230209439992905,
-0.011866020038723946,
0.10268449783325195,
-0.0026056545320898294,
0.07035654038190842,
0.03395020589232445,
0.05062330886721611,
-0.02416694536805153,
-0.04924388229846954,
-0.07264517992734909,
0.029187439009547234,
0.07324091345071793,
-0.009539608843624592,
-0.13538725674152374,
0.11771877855062485,
-0.0059986538253724575,
-0.08354514092206955,
-0.07105199992656708,
-0.0028239451348781586,
-0.03929418325424194,
-0.08549810200929642,
0.060266055166721344,
0.011404731310904026,
-0.03843410313129425,
0.08370281755924225,
-0.0178581103682518,
0.022804303094744682,
0.029539307579398155,
0.061601586639881134,
0.05256706848740578,
0.01584426313638687,
-0.019618581980466843,
-0.06669061630964279,
-0.01902696304023266,
0.04299144074320793,
-0.053208209574222565,
0.05731135979294777,
-0.058003105223178864,
0.0026287343353033066,
0.0850185751914978,
0.01151864230632782,
-0.019622310996055603,
0.08760866522789001,
-0.04386520013213158,
-0.03277882561087608,
-0.04178479686379433,
0.1594974845647812,
0.03272459656000137,
-0.04819358512759209,
0.01373203843832016,
-0.021713826805353165,
-0.010566390119493008,
-0.05778198316693306,
0.05126573145389557,
-0.029700597748160362,
-0.14334692060947418,
-0.06338075548410416,
-0.004583843983709812,
-0.03034696914255619,
-0.02098429575562477,
-0.004085646942257881,
-0.042684752494096756,
-0.023851890116930008,
-1.876046050817917e-34,
-0.021472355350852013,
-0.01586766541004181,
-0.10594891756772995,
-0.04681370034813881,
0.009591707959771156,
0.009679644368588924,
0.04098677635192871,
0.11977945268154144,
-0.03246329352259636,
0.041819389909505844,
0.11131192743778229,
-0.003043760545551777,
0.011854290962219238,
-0.06009562686085701,
-0.1040758341550827,
-0.0021200079936534166,
0.05931328609585762,
-0.005681246984750032,
0.03300299122929573,
-0.03817674145102501,
0.012769969180226326,
0.04200037568807602,
0.03006151132285595,
0.1046348586678505,
0.0431707426905632,
-0.007605778519064188,
-0.014018612913787365,
0.012453070841729641,
0.024075312539935112,
0.08731729537248611,
-0.0010748872300609946,
0.07185237854719162,
-0.010699503123760223,
0.04668445885181427,
-0.035069141536951065,
0.05173776298761368,
-0.0051730843260884285,
-0.04515102505683899,
-0.03273788094520569,
-0.037719305604696274,
0.01097586564719677,
-0.020768629387021065,
0.029439162462949753,
0.04186687991023064,
-0.01898578554391861,
-0.025541730225086212,
-0.030103085562586784,
0.020839309319853783,
-0.10580245405435562,
-0.004927442409098148,
-0.0150419557467103,
-0.04521805793046951,
0.06586876511573792,
-0.04586649686098099,
0.013160422444343567,
-0.006221413612365723,
-0.04874833673238754,
-0.013107889331877232,
0.05048231780529022,
0.15165135264396667,
-0.014170221984386444,
-0.009026922285556793,
-0.015107839368283749,
-0.05484564229846001,
-0.0073039899580180645,
-0.02209511771798134,
0.06487105786800385,
-0.04458412155508995,
0.0927027091383934,
0.0017856903141364455,
0.046197082847356796,
0.09099329262971878,
-0.03695828840136528,
-0.10789064317941666,
0.04354822263121605,
0.06932170689105988,
0.014793398790061474,
0.01857847534120083,
-0.037990499287843704,
0.00017528633179608732,
0.033658843487501144,
0.022163597866892815,
0.00786836538463831,
0.0226135291159153,
0.016427190974354744,
0.006406069733202457,
-0.10218026489019394,
0.0399945005774498,
-0.025264006108045578,
0.010656675323843956,
0.018361596390604973,
-0.09663309901952744,
-0.0014129152987152338,
-0.08845490962266922,
0.0542936734855175,
-4.8556071163829984e-8,
0.07056570798158646,
0.0239174272865057,
0.03270428627729416,
-0.013099972158670425,
-0.06428243964910507,
-0.04165871441364288,
0.013610975816845894,
-0.03541513904929161,
0.02956831082701683,
-0.03860508278012276,
-0.0525520034134388,
-0.04645051434636116,
-0.07671006768941879,
0.004572620149701834,
-0.007402833551168442,
0.055623024702072144,
0.004984969273209572,
-0.0030186986550688744,
-0.009908388368785381,
0.0011884828563779593,
-0.06747192144393921,
-0.04907742142677307,
-0.003259316086769104,
-0.04551680013537407,
0.02573772519826889,
-0.032312698662281036,
-0.040688395500183105,
-0.031318411231040955,
0.05404335632920265,
-0.000816109764855355,
-0.022067919373512268,
-0.09164543449878693,
-0.02647668495774269,
0.10447444766759872,
-0.03096695803105831,
0.03549276664853096,
-0.03712479770183563,
0.011211717501282692,
-0.019245358183979988,
-0.010539453476667404,
0.0002408537402516231,
0.05011958256363869,
0.05075297877192497,
0.02243928611278534,
-0.0024808207526803017,
0.05119454115629196,
-0.01143564097583294,
0.05011173337697983,
-0.030075352638959885,
-0.07813455909490585,
-0.01291881874203682,
0.007531632203608751,
0.05124418064951897,
-0.02889256365597248,
-0.03542422130703926,
0.0440775565803051,
-0.07188040018081665,
-0.037203576415777206,
-0.006004808936268091,
0.01002731267362833,
-0.02705703116953373,
0.06529287248849869,
-0.11561867594718933,
0.023800324648618698
] |
1401.1623 | Marco Pizzocaro | Marco Pizzocaro, Davide Calonico, Pablo Cancio Pastor, Jacopo Catani,
Giovanni A. Costanzo, Filippo Levi and Luca Lorini | Efficient Frequency Doubling at 399 nm | null | Applied Optics, Vol. 53, Issue 16, pp. 3388-3392 (2014) | 10.1364/AO.53.003388 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article describes a high-power and narrow-linewidth laser source at 399
nm useful for cooling and trapping of ytterbium atoms. A continuous-wave
titanium-sapphire laser at 798 nm is frequency doubled using a lithium
triborate crystal in an enhancement cavity. Up to 1.0 W of light at 399 nm has
been obtained from 1.3 W of infrared light, with an efficiency of 80 %
This paper was published in Applied Optics and is made available as an
electronic reprint with the permission of OSA. The paper can be found at the
following URL on the OSA website:
http://www.opticsinfobase.org/ao/abstract.cfm?uri=ao-53-16-3388. Systematic or
multiple reproduction or distribution to multiple locations via electronic or
other means is prohibited and is subject to penalties under law.
| [
{
"created": "Wed, 8 Jan 2014 09:11:08 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jan 2014 09:29:25 GMT",
"version": "v2"
},
{
"created": "Wed, 21 May 2014 15:21:30 GMT",
"version": "v3"
}
] | 2014-05-22 | [
[
"Pizzocaro",
"Marco",
""
],
[
"Calonico",
"Davide",
""
],
[
"Pastor",
"Pablo Cancio",
""
],
[
"Catani",
"Jacopo",
""
],
[
"Costanzo",
"Giovanni A.",
""
],
[
"Levi",
"Filippo",
""
],
[
"Lorini",
"Luca",
""
]
] | [
-0.03333575278520584,
-0.04012592136859894,
-0.08745750039815903,
0.03292545676231384,
-0.08206184953451157,
-0.05592794716358185,
0.042528215795755386,
-0.0061776950024068356,
-0.08319336175918579,
-0.0500580295920372,
0.04648631811141968,
0.02004277892410755,
0.03633029758930206,
-0.07978864014148712,
0.06837403774261475,
0.06837151199579239,
0.07490785419940948,
0.005529193673282862,
0.008149188943207264,
0.03709119185805321,
0.09365610033273697,
-0.06097710505127907,
-0.013147122226655483,
-0.026016797870397568,
-0.06531254202127457,
0.003467774949967861,
-0.027352558448910713,
-0.0016104585956782103,
0.0022366801276803017,
0.028236249461770058,
0.03552241623401642,
0.04669826477766037,
-0.12735264003276825,
-0.019490094855427742,
0.05659880116581917,
-0.12310594320297241,
-0.009797090664505959,
0.008859757333993912,
-0.059113141149282455,
-0.0030607227236032486,
0.018427643924951553,
0.007178785745054483,
0.02865682728588581,
0.11940363049507141,
-0.05832114443182945,
0.010468215681612492,
-0.007480775937438011,
-0.08125206083059311,
-0.09493044763803482,
-0.09396853297948837,
-0.02080279029905796,
0.00826168805360794,
-0.04780372604727745,
0.10426289588212967,
-0.022911736741662025,
-0.022973934188485146,
-0.03086289018392563,
0.05345451831817627,
0.01618334650993347,
-0.008579607121646404,
0.034433845430612564,
0.03759128972887993,
-0.023030925542116165,
-0.0427827388048172,
0.08229199796915054,
-0.02476327493786812,
-0.024375639855861664,
-0.04945812374353409,
0.03060082718729973,
0.03896769508719444,
0.09860797226428986,
-0.02645747736096382,
0.014949717558920383,
0.048110343515872955,
-0.000992393004707992,
-0.019633937627077103,
0.028293121606111526,
0.08035535365343094,
-0.044484950602054596,
0.026325922459363937,
0.05689327046275139,
-0.018644308671355247,
0.11016703397035599,
0.04629978910088539,
-0.01318554300814867,
-0.0026867471169680357,
0.04038139805197716,
0.006242851261049509,
0.009906923398375511,
0.014298207126557827,
0.0074757179245352745,
0.09556464850902557,
0.04290442168712616,
-0.057748943567276,
-0.006440576631575823,
-0.014884334988892078,
0.07133930176496506,
-0.061722952872514725,
-0.05796398967504501,
0.016150103881955147,
0.10996079444885254,
-0.026729470118880272,
-0.027683407068252563,
0.03338000178337097,
-0.14554201066493988,
-0.002808623481541872,
-0.03511613607406616,
0.0769519954919815,
-0.09036248922348022,
0.040496841073036194,
0.033117420971393585,
0.06299927830696106,
-0.04794904962182045,
-0.03037418983876705,
0.005480424501001835,
0.005216130521148443,
-0.037321269512176514,
0.05983482673764229,
0.08626791834831238,
-0.049569081515073776,
-0.041810646653175354,
0.08405407518148422,
0.08791790902614594,
0.027004146948456764,
-0.008910004049539566,
-0.021663855761289597,
-0.02897273190319538,
3.6251907824733485e-33,
0.045682646334171295,
0.08068986982107162,
-0.07296198606491089,
-0.04982195422053337,
-0.00461026094853878,
0.009364542551338673,
-0.03173472359776497,
0.054131072014570236,
-0.07129519432783127,
0.011060457676649094,
0.09378150850534439,
0.0029832373838871717,
0.022356592118740082,
0.009029807522892952,
0.022802861407399178,
-0.016645677387714386,
-0.001254567294381559,
0.09720293432474136,
-0.0007867696695029736,
0.10171934962272644,
-0.044121645390987396,
-0.012896533124148846,
0.016312116757035255,
0.09064669907093048,
-0.13516053557395935,
0.05647016689181328,
0.00836572889238596,
-0.048559609800577164,
-0.021160272881388664,
0.00990881398320198,
0.031101491302251816,
0.03882052004337311,
-0.005817938596010208,
-0.01930955983698368,
0.08888650685548782,
0.0026378168258816004,
-0.012047105468809605,
0.05217316374182701,
-0.01928974688053131,
0.012174532748758793,
0.08013670891523361,
0.028467319905757904,
0.047647420316934586,
0.00905767921358347,
0.10361102223396301,
-0.05593007802963257,
-0.09027866274118423,
0.04640417918562889,
-0.002854500897228718,
-0.028286783024668694,
-0.072566919028759,
-0.015131481923162937,
-0.04815281927585602,
0.052962154150009155,
0.03327000513672829,
-0.011829293332993984,
0.023091845214366913,
0.04905305430293083,
0.05094056576490402,
-0.09656864404678345,
0.016845090314745903,
-0.07513727992773056,
0.02134312130510807,
0.027115250006318092,
-0.02531452104449272,
0.02940283715724945,
-0.06735364347696304,
-0.08963455259799957,
-0.058091625571250916,
-0.01313354354351759,
-0.02069939859211445,
-0.03386716544628143,
0.09773328900337219,
-0.052706435322761536,
0.04912374168634415,
-0.07371926307678223,
0.02936507947742939,
0.047737736254930496,
0.0286234263330698,
0.013292175717651844,
-0.055785033851861954,
-0.03521193563938141,
-0.019660618156194687,
-0.06053997576236725,
-0.007661174982786179,
-0.01766328141093254,
-0.022312812507152557,
0.049942199140787125,
-0.0900985524058342,
0.10282369703054428,
0.04747192561626434,
-0.10553421825170517,
-0.018787946552038193,
-0.04818005859851837,
-0.05303729698061943,
-3.7173348458984306e-33,
-0.009811440482735634,
-0.03289370238780975,
0.013254453428089619,
-0.004531301092356443,
0.0809277594089508,
0.0029307077638804913,
-0.019158756360411644,
-0.007049929816275835,
0.04152098670601845,
-0.024619245901703835,
0.01523195207118988,
-0.03422696888446808,
0.030006377026438713,
-0.07221270352602005,
-0.046033184975385666,
-0.013858085498213768,
0.014878647401928902,
-0.08395175635814667,
-0.007549277972429991,
-0.011358105577528477,
-0.036974988877773285,
-0.03556286171078682,
0.08206620067358017,
0.02903052419424057,
0.031001392751932144,
-0.010021830908954144,
0.05374421924352646,
0.0376993790268898,
-0.01586449146270752,
-0.007751899771392345,
-0.020669331774115562,
0.0006048600189387798,
0.00810333527624607,
0.06350752711296082,
-0.08816144615411758,
0.005479473154991865,
0.030366593971848488,
0.026207538321614265,
0.004360435530543327,
-0.03707033023238182,
0.022438861429691315,
-0.03809770941734314,
-0.05710822716355324,
0.0007822217303328216,
-0.01572832092642784,
0.04936011880636215,
-0.08070887625217438,
-0.018018407747149467,
-0.018520845100283623,
0.00622748676687479,
0.01734127290546894,
-0.057045694440603256,
-0.07099419832229614,
0.003042940516024828,
-0.0695328637957573,
-0.02436968870460987,
-0.019672011956572533,
0.055509358644485474,
-0.015811145305633545,
0.052420035004615784,
0.0996689423918724,
0.04398556053638458,
0.038685839623212814,
-0.00016428256640210748,
0.019409077242016792,
0.07695446908473969,
0.03448835760354996,
0.1104997918009758,
-0.013594649732112885,
-0.008347869850695133,
0.07420964539051056,
0.03445088490843773,
-0.022219926118850708,
0.018813258036971092,
0.04346132650971413,
-0.06442030519247055,
0.08271951973438263,
-0.044295914471149445,
-0.03755771368741989,
0.006185389123857021,
-0.06435874104499817,
0.0694936215877533,
-0.03576522693037987,
-0.02535681612789631,
0.10367570072412491,
-0.06678101420402527,
0.006838880944997072,
0.023696159943938255,
-0.06415834277868271,
-0.04976008087396622,
0.022601287811994553,
-0.03515299782156944,
-0.07757695019245148,
-0.014197799377143383,
0.11976619809865952,
-5.539840941537477e-8,
-0.009738409891724586,
-0.019151469692587852,
-0.053093768656253815,
0.05463709682226181,
0.027565859258174896,
-0.03240369260311127,
0.03784561902284622,
0.03339998424053192,
-0.021617760881781578,
-0.06206466257572174,
0.001732089789584279,
-0.0647755116224289,
0.034166768193244934,
0.04846295341849327,
0.06794700026512146,
-0.06933264434337616,
-0.0015784923452883959,
-0.028220880776643753,
-0.061221666634082794,
-0.026181519031524658,
0.04166322946548462,
-0.03981364518404007,
0.10528732091188431,
-0.04221319779753685,
-0.10977369546890259,
0.07867258787155151,
0.016815628856420517,
-0.019124377518892288,
-0.0020028245635330677,
-0.03328878805041313,
-0.020088868215680122,
-0.01074311789125204,
0.06055672466754913,
0.020809482783079147,
-0.031165694817900658,
-0.08906379342079163,
0.017619021236896515,
0.029071874916553497,
0.004927678033709526,
-0.03156566992402077,
-0.031061073765158653,
0.008856250904500484,
-0.02456173114478588,
0.07286564260721207,
-0.011822895146906376,
0.017404921352863312,
-0.02912892773747444,
-0.06698649376630783,
-0.01882484182715416,
0.13505947589874268,
0.054791275411844254,
0.04129977151751518,
0.016641084104776382,
-0.030134083703160286,
-0.11449723690748215,
0.04454940930008888,
-0.030605757609009743,
0.022862158715724945,
-0.050405412912368774,
0.04315938800573349,
0.05700455233454704,
-0.09839863330125809,
0.012941938824951649,
0.001467782654799521
] | null | null | null | null | null | null | null | [
-0.03333575278520584,
-0.04012592136859894,
-0.08745750039815903,
0.03292545676231384,
-0.08206184953451157,
-0.05592794716358185,
0.042528215795755386,
-0.0061776950024068356,
-0.08319336175918579,
-0.0500580295920372,
0.04648631811141968,
0.02004277892410755,
0.03633029758930206,
-0.07978864014148712,
0.06837403774261475,
0.06837151199579239,
0.07490785419940948,
0.005529193673282862,
0.008149188943207264,
0.03709119185805321,
0.09365610033273697,
-0.06097710505127907,
-0.013147122226655483,
-0.026016797870397568,
-0.06531254202127457,
0.003467774949967861,
-0.027352558448910713,
-0.0016104585956782103,
0.0022366801276803017,
0.028236249461770058,
0.03552241623401642,
0.04669826477766037,
-0.12735264003276825,
-0.019490094855427742,
0.05659880116581917,
-0.12310594320297241,
-0.009797090664505959,
0.008859757333993912,
-0.059113141149282455,
-0.0030607227236032486,
0.018427643924951553,
0.007178785745054483,
0.02865682728588581,
0.11940363049507141,
-0.05832114443182945,
0.010468215681612492,
-0.007480775937438011,
-0.08125206083059311,
-0.09493044763803482,
-0.09396853297948837,
-0.02080279029905796,
0.00826168805360794,
-0.04780372604727745,
0.10426289588212967,
-0.022911736741662025,
-0.022973934188485146,
-0.03086289018392563,
0.05345451831817627,
0.01618334650993347,
-0.008579607121646404,
0.034433845430612564,
0.03759128972887993,
-0.023030925542116165,
-0.0427827388048172,
0.08229199796915054,
-0.02476327493786812,
-0.024375639855861664,
-0.04945812374353409,
0.03060082718729973,
0.03896769508719444,
0.09860797226428986,
-0.02645747736096382,
0.014949717558920383,
0.048110343515872955,
-0.000992393004707992,
-0.019633937627077103,
0.028293121606111526,
0.08035535365343094,
-0.044484950602054596,
0.026325922459363937,
0.05689327046275139,
-0.018644308671355247,
0.11016703397035599,
0.04629978910088539,
-0.01318554300814867,
-0.0026867471169680357,
0.04038139805197716,
0.006242851261049509,
0.009906923398375511,
0.014298207126557827,
0.0074757179245352745,
0.09556464850902557,
0.04290442168712616,
-0.057748943567276,
-0.006440576631575823,
-0.014884334988892078,
0.07133930176496506,
-0.061722952872514725,
-0.05796398967504501,
0.016150103881955147,
0.10996079444885254,
-0.026729470118880272,
-0.027683407068252563,
0.03338000178337097,
-0.14554201066493988,
-0.002808623481541872,
-0.03511613607406616,
0.0769519954919815,
-0.09036248922348022,
0.040496841073036194,
0.033117420971393585,
0.06299927830696106,
-0.04794904962182045,
-0.03037418983876705,
0.005480424501001835,
0.005216130521148443,
-0.037321269512176514,
0.05983482673764229,
0.08626791834831238,
-0.049569081515073776,
-0.041810646653175354,
0.08405407518148422,
0.08791790902614594,
0.027004146948456764,
-0.008910004049539566,
-0.021663855761289597,
-0.02897273190319538,
3.6251907824733485e-33,
0.045682646334171295,
0.08068986982107162,
-0.07296198606491089,
-0.04982195422053337,
-0.00461026094853878,
0.009364542551338673,
-0.03173472359776497,
0.054131072014570236,
-0.07129519432783127,
0.011060457676649094,
0.09378150850534439,
0.0029832373838871717,
0.022356592118740082,
0.009029807522892952,
0.022802861407399178,
-0.016645677387714386,
-0.001254567294381559,
0.09720293432474136,
-0.0007867696695029736,
0.10171934962272644,
-0.044121645390987396,
-0.012896533124148846,
0.016312116757035255,
0.09064669907093048,
-0.13516053557395935,
0.05647016689181328,
0.00836572889238596,
-0.048559609800577164,
-0.021160272881388664,
0.00990881398320198,
0.031101491302251816,
0.03882052004337311,
-0.005817938596010208,
-0.01930955983698368,
0.08888650685548782,
0.0026378168258816004,
-0.012047105468809605,
0.05217316374182701,
-0.01928974688053131,
0.012174532748758793,
0.08013670891523361,
0.028467319905757904,
0.047647420316934586,
0.00905767921358347,
0.10361102223396301,
-0.05593007802963257,
-0.09027866274118423,
0.04640417918562889,
-0.002854500897228718,
-0.028286783024668694,
-0.072566919028759,
-0.015131481923162937,
-0.04815281927585602,
0.052962154150009155,
0.03327000513672829,
-0.011829293332993984,
0.023091845214366913,
0.04905305430293083,
0.05094056576490402,
-0.09656864404678345,
0.016845090314745903,
-0.07513727992773056,
0.02134312130510807,
0.027115250006318092,
-0.02531452104449272,
0.02940283715724945,
-0.06735364347696304,
-0.08963455259799957,
-0.058091625571250916,
-0.01313354354351759,
-0.02069939859211445,
-0.03386716544628143,
0.09773328900337219,
-0.052706435322761536,
0.04912374168634415,
-0.07371926307678223,
0.02936507947742939,
0.047737736254930496,
0.0286234263330698,
0.013292175717651844,
-0.055785033851861954,
-0.03521193563938141,
-0.019660618156194687,
-0.06053997576236725,
-0.007661174982786179,
-0.01766328141093254,
-0.022312812507152557,
0.049942199140787125,
-0.0900985524058342,
0.10282369703054428,
0.04747192561626434,
-0.10553421825170517,
-0.018787946552038193,
-0.04818005859851837,
-0.05303729698061943,
-3.7173348458984306e-33,
-0.009811440482735634,
-0.03289370238780975,
0.013254453428089619,
-0.004531301092356443,
0.0809277594089508,
0.0029307077638804913,
-0.019158756360411644,
-0.007049929816275835,
0.04152098670601845,
-0.024619245901703835,
0.01523195207118988,
-0.03422696888446808,
0.030006377026438713,
-0.07221270352602005,
-0.046033184975385666,
-0.013858085498213768,
0.014878647401928902,
-0.08395175635814667,
-0.007549277972429991,
-0.011358105577528477,
-0.036974988877773285,
-0.03556286171078682,
0.08206620067358017,
0.02903052419424057,
0.031001392751932144,
-0.010021830908954144,
0.05374421924352646,
0.0376993790268898,
-0.01586449146270752,
-0.007751899771392345,
-0.020669331774115562,
0.0006048600189387798,
0.00810333527624607,
0.06350752711296082,
-0.08816144615411758,
0.005479473154991865,
0.030366593971848488,
0.026207538321614265,
0.004360435530543327,
-0.03707033023238182,
0.022438861429691315,
-0.03809770941734314,
-0.05710822716355324,
0.0007822217303328216,
-0.01572832092642784,
0.04936011880636215,
-0.08070887625217438,
-0.018018407747149467,
-0.018520845100283623,
0.00622748676687479,
0.01734127290546894,
-0.057045694440603256,
-0.07099419832229614,
0.003042940516024828,
-0.0695328637957573,
-0.02436968870460987,
-0.019672011956572533,
0.055509358644485474,
-0.015811145305633545,
0.052420035004615784,
0.0996689423918724,
0.04398556053638458,
0.038685839623212814,
-0.00016428256640210748,
0.019409077242016792,
0.07695446908473969,
0.03448835760354996,
0.1104997918009758,
-0.013594649732112885,
-0.008347869850695133,
0.07420964539051056,
0.03445088490843773,
-0.022219926118850708,
0.018813258036971092,
0.04346132650971413,
-0.06442030519247055,
0.08271951973438263,
-0.044295914471149445,
-0.03755771368741989,
0.006185389123857021,
-0.06435874104499817,
0.0694936215877533,
-0.03576522693037987,
-0.02535681612789631,
0.10367570072412491,
-0.06678101420402527,
0.006838880944997072,
0.023696159943938255,
-0.06415834277868271,
-0.04976008087396622,
0.022601287811994553,
-0.03515299782156944,
-0.07757695019245148,
-0.014197799377143383,
0.11976619809865952,
-5.539840941537477e-8,
-0.009738409891724586,
-0.019151469692587852,
-0.053093768656253815,
0.05463709682226181,
0.027565859258174896,
-0.03240369260311127,
0.03784561902284622,
0.03339998424053192,
-0.021617760881781578,
-0.06206466257572174,
0.001732089789584279,
-0.0647755116224289,
0.034166768193244934,
0.04846295341849327,
0.06794700026512146,
-0.06933264434337616,
-0.0015784923452883959,
-0.028220880776643753,
-0.061221666634082794,
-0.026181519031524658,
0.04166322946548462,
-0.03981364518404007,
0.10528732091188431,
-0.04221319779753685,
-0.10977369546890259,
0.07867258787155151,
0.016815628856420517,
-0.019124377518892288,
-0.0020028245635330677,
-0.03328878805041313,
-0.020088868215680122,
-0.01074311789125204,
0.06055672466754913,
0.020809482783079147,
-0.031165694817900658,
-0.08906379342079163,
0.017619021236896515,
0.029071874916553497,
0.004927678033709526,
-0.03156566992402077,
-0.031061073765158653,
0.008856250904500484,
-0.02456173114478588,
0.07286564260721207,
-0.011822895146906376,
0.017404921352863312,
-0.02912892773747444,
-0.06698649376630783,
-0.01882484182715416,
0.13505947589874268,
0.054791275411844254,
0.04129977151751518,
0.016641084104776382,
-0.030134083703160286,
-0.11449723690748215,
0.04454940930008888,
-0.030605757609009743,
0.022862158715724945,
-0.050405412912368774,
0.04315938800573349,
0.05700455233454704,
-0.09839863330125809,
0.012941938824951649,
0.001467782654799521
] |
1401.1626 | Enrico Paolini | Enrico Paolini, Gianluigi Liva, Marco Chiani | Coded Slotted ALOHA: A Graph-Based Method for Uncoordinated Multiple
Access | The final version to appear in IEEE Trans. Inf. Theory. 18 pages, 10
figures | null | 10.1109/TIT.2015.2492579 | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, a random access scheme is introduced which relies on the
combination of packet erasure correcting codes and successive interference
cancellation (SIC). The scheme is named coded slotted ALOHA. A bipartite graph
representation of the SIC process, resembling iterative decoding of generalized
low-density parity-check codes over the erasure channel, is exploited to
optimize the selection probabilities of the component erasure correcting codes
via density evolution analysis. The capacity (in packets per slot) of the
scheme is then analyzed in the context of the collision channel without
feedback. Moreover, a capacity bound is developed and component code
distributions tightly approaching the bound are derived.
| [
{
"created": "Wed, 8 Jan 2014 09:24:08 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2015 09:16:33 GMT",
"version": "v2"
}
] | 2016-11-15 | [
[
"Paolini",
"Enrico",
""
],
[
"Liva",
"Gianluigi",
""
],
[
"Chiani",
"Marco",
""
]
] | [
0.035008277744054794,
-0.001931997132487595,
-0.011665363796055317,
-0.0030362613033503294,
-0.042011555284261703,
-0.040872495621442795,
0.04542889446020126,
-0.09874944388866425,
-0.021400053054094315,
0.03046920895576477,
0.03637576103210449,
0.11888238042593002,
0.04388345777988434,
-0.1072581559419632,
-0.06470367312431335,
-0.026889394968748093,
0.04469969868659973,
-0.06651103496551514,
0.02898784726858139,
-0.010700623504817486,
0.02960851788520813,
0.014464834704995155,
-0.00977050419896841,
-0.021190978586673737,
0.040950141847133636,
-0.012531783431768417,
0.08069272339344025,
0.056322451680898666,
0.026708969846367836,
-0.025635525584220886,
0.04825601354241371,
0.022289084270596504,
0.04295620322227478,
-0.02679452858865261,
-0.0327909030020237,
-0.030341794714331627,
-0.04516259580850601,
-0.03310038894414902,
0.03843158483505249,
0.05727012827992439,
-0.05627607926726341,
0.03608977049589157,
-0.06547059118747711,
0.031957849860191345,
0.008220049552619457,
-0.0276908278465271,
-0.04533001780509949,
0.004113702103495598,
0.0026508590672165155,
-0.08314584940671921,
0.09616605937480927,
0.07421369850635529,
0.01236539613455534,
0.014704238623380661,
0.05373537167906761,
-0.15802466869354248,
-0.013840742409229279,
0.020249251276254654,
-0.04856573045253754,
0.0752658024430275,
0.010405037552118301,
0.02781939134001732,
-0.0012579640606418252,
0.009341820143163204,
0.03671890124678612,
0.034822363406419754,
0.0066776275634765625,
0.08102558553218842,
-0.04029169678688049,
0.01174669899046421,
-0.07723350077867508,
-0.0061871763318777084,
0.009625740349292755,
0.1206025630235672,
0.07330689579248428,
0.06635435670614243,
-0.065111443400383,
0.005338394083082676,
0.002522444585338235,
-0.034734096378088,
-0.007506207562983036,
0.004063729662448168,
-0.0019162276294082403,
-0.01387536060065031,
0.027059216052293777,
0.05004401132464409,
-0.01914099231362343,
0.028196459636092186,
0.024732770398259163,
-0.01239444687962532,
-0.06043483689427376,
0.04013610631227493,
0.05721134692430496,
0.06941663473844528,
-0.02623428963124752,
0.01990317367017269,
-0.0019739868585020304,
-0.0459766685962677,
0.0069102696143090725,
0.036019038408994675,
0.011263642460107803,
-0.04347410798072815,
-0.03193264454603195,
-0.0654919445514679,
-0.023561440408229828,
0.09613768011331558,
-0.007973303087055683,
0.08223804086446762,
0.033859118819236755,
-0.0004812807310372591,
-0.022134024649858475,
0.06105208024382591,
-0.028573449701070786,
0.07510586827993393,
-0.09389521181583405,
0.06738141924142838,
-0.014627848751842976,
0.039358220994472504,
-0.010815683752298355,
-0.011070016771554947,
-0.0636502280831337,
-0.04484226927161217,
-0.02753490023314953,
-0.02008068561553955,
-0.0846671611070633,
-0.021605350077152252,
0.08095785975456238,
1.3253649214353366e-33,
-0.045459337532520294,
-0.05360958352684975,
-0.1484263837337494,
-0.06515926867723465,
0.014384395442903042,
-0.01881110481917858,
0.041191328316926956,
-0.003066292032599449,
-0.005437708459794521,
-0.006937716156244278,
-0.03006352297961712,
-0.0316925086081028,
-0.005206643603742123,
-0.027469592168927193,
0.045994363725185394,
0.02634696662425995,
-0.022216428071260452,
0.057464540004730225,
0.035431891679763794,
-0.05996168777346611,
0.011657360941171646,
-0.05873808264732361,
-0.003818813944235444,
0.004568866919726133,
0.04928440973162651,
0.06495805829763412,
-0.004016536753624678,
-0.08257027715444565,
0.0510106086730957,
0.03348660469055176,
-0.08327950537204742,
0.057127248495817184,
0.0794227123260498,
0.0032103245612233877,
0.005325959529727697,
-0.024188272655010223,
0.0396883599460125,
-0.06730207055807114,
-0.06515254080295563,
-0.059231966733932495,
-0.0016094708116725087,
-0.02859306149184704,
-0.02033722959458828,
-0.10160017758607864,
-0.016611622646450996,
-0.09075930714607239,
-0.019466575235128403,
-0.000763854943215847,
-0.026528876274824142,
0.06924367696046829,
0.054299939423799515,
-0.007655566092580557,
-0.008292707614600658,
0.032190605998039246,
0.035160765051841736,
-0.057862289249897,
0.06383895874023438,
0.04431220889091492,
0.05314411222934723,
0.1422569304704666,
-0.025777671486139297,
0.036156754940748215,
0.03499826043844223,
-0.03953692317008972,
0.001365538570098579,
0.08157612383365631,
-0.03716824948787689,
-0.08363199234008789,
0.033442843705415726,
-0.034225329756736755,
0.01170593872666359,
-0.014547343365848064,
-0.06136050820350647,
0.006368626840412617,
-0.06498292833566666,
-0.03254390135407448,
0.020399847999215126,
-0.014753026887774467,
0.025951595976948738,
-0.015035365708172321,
-0.005710852798074484,
-0.006729047745466232,
-0.02152865380048752,
0.04230452701449394,
-0.05044838786125183,
-0.05818070471286774,
0.011923380196094513,
0.0006912428070791066,
-0.05232114717364311,
0.018391696736216545,
-0.07625246047973633,
-0.06499260663986206,
0.06678683310747147,
-0.03736104816198349,
0.0827345922589302,
-2.107482108135861e-33,
-0.015718864277005196,
0.07622355967760086,
0.04974402114748955,
0.030851783230900764,
-0.06546054035425186,
-0.11417248845100403,
-0.0501570850610733,
-0.03545428439974785,
0.02077508717775345,
0.005473105236887932,
-0.016263313591480255,
-0.007698463276028633,
0.032774731516838074,
-0.025984132662415504,
0.09135688096284866,
-0.010801773518323898,
-0.006961096078157425,
0.04599037021398544,
-0.0192516278475523,
0.028703127056360245,
0.0716005489230156,
-0.002134708222001791,
0.08448252826929092,
-0.020036060363054276,
0.055134229362010956,
0.013304057531058788,
-0.039841365069150925,
0.08224228769540787,
0.11913510411977768,
-0.02940528839826584,
0.019147729501128197,
0.0031244484707713127,
0.00011842574895126745,
0.011659029871225357,
0.07059817016124725,
-0.04009983316063881,
0.07279384136199951,
0.11685681343078613,
-0.009975969791412354,
-0.013618461787700653,
0.05262736603617668,
0.010561719536781311,
-0.05916225537657738,
0.06770889461040497,
0.0413987897336483,
0.013125226832926273,
-0.03021898865699768,
0.0713406354188919,
0.04507776349782944,
-0.05116960406303406,
0.06451188772916794,
0.03213174641132355,
0.0853145644068718,
0.08159322291612625,
0.0005627215723507106,
0.05178290233016014,
0.10101915895938873,
0.08346966654062271,
0.06487319618463516,
-0.0011497194645926356,
0.0528327040374279,
-0.10365165024995804,
0.09145068377256393,
-0.02387404255568981,
0.052337583154439926,
-0.09034231305122375,
-0.017397213727235794,
-0.02270948700606823,
-0.0845145657658577,
0.025102389976382256,
0.08040639013051987,
-0.008969400078058243,
-0.020253458991646767,
0.0309256911277771,
0.09292233735322952,
0.00612577423453331,
-0.025749392807483673,
-0.0016572341555729508,
-0.02452792041003704,
0.10407540202140808,
-0.11382291465997696,
0.0945620983839035,
-0.03912453353404999,
0.050005991011857986,
0.055186737328767776,
0.031190164387226105,
-0.03703915700316429,
-0.08224046975374222,
-0.000004738762982015032,
-0.052347198128700256,
-0.03127460181713104,
0.04014712572097778,
0.018852345645427704,
-0.026646306738257408,
-0.05868197977542877,
-4.432545352983652e-8,
-0.040431130677461624,
-0.06089503690600395,
-0.052609458565711975,
-0.0275920070707798,
0.024879399687051773,
-0.04397577419877052,
-0.070658840239048,
-0.0025449711829423904,
0.034093402326107025,
-0.08363944292068481,
0.1014556884765625,
0.02006334625184536,
-0.039795730262994766,
-0.0382092148065567,
-0.0116701265797019,
-0.016431624069809914,
-0.10752169787883759,
-0.06080382317304611,
-0.012720145285129547,
0.056511666625738144,
0.008865094743669033,
-0.06282178312540054,
0.014149511232972145,
0.016525672748684883,
-0.0549934059381485,
-0.04440010339021683,
0.03500059247016907,
-0.03167694807052612,
0.001229604473337531,
-0.01966542936861515,
-0.01328335702419281,
0.0012819994008168578,
0.14223340153694153,
0.03413654863834381,
-0.011071834713220596,
0.02884204499423504,
0.005758993327617645,
0.007069585844874382,
-0.01699236035346985,
0.02235615998506546,
0.060859810560941696,
-0.11677254736423492,
0.0447223074734211,
-0.024391787126660347,
0.01936434395611286,
0.006023041903972626,
0.07926581799983978,
0.03898806497454643,
-0.030925888568162918,
-0.04802918806672096,
-0.01101628690958023,
-0.022320391610264778,
-0.10283400118350983,
-0.05020307004451752,
-0.03265126422047615,
-0.03157004714012146,
-0.019104046747088432,
-0.08033416420221329,
0.0942724347114563,
0.01338785421103239,
-0.04203321412205696,
0.07417037338018417,
-0.07002495229244232,
-0.040682654827833176
] | null | null | null | null | null | null | null | [
0.035008277744054794,
-0.001931997132487595,
-0.011665363796055317,
-0.0030362613033503294,
-0.042011555284261703,
-0.040872495621442795,
0.04542889446020126,
-0.09874944388866425,
-0.021400053054094315,
0.03046920895576477,
0.03637576103210449,
0.11888238042593002,
0.04388345777988434,
-0.1072581559419632,
-0.06470367312431335,
-0.026889394968748093,
0.04469969868659973,
-0.06651103496551514,
0.02898784726858139,
-0.010700623504817486,
0.02960851788520813,
0.014464834704995155,
-0.00977050419896841,
-0.021190978586673737,
0.040950141847133636,
-0.012531783431768417,
0.08069272339344025,
0.056322451680898666,
0.026708969846367836,
-0.025635525584220886,
0.04825601354241371,
0.022289084270596504,
0.04295620322227478,
-0.02679452858865261,
-0.0327909030020237,
-0.030341794714331627,
-0.04516259580850601,
-0.03310038894414902,
0.03843158483505249,
0.05727012827992439,
-0.05627607926726341,
0.03608977049589157,
-0.06547059118747711,
0.031957849860191345,
0.008220049552619457,
-0.0276908278465271,
-0.04533001780509949,
0.004113702103495598,
0.0026508590672165155,
-0.08314584940671921,
0.09616605937480927,
0.07421369850635529,
0.01236539613455534,
0.014704238623380661,
0.05373537167906761,
-0.15802466869354248,
-0.013840742409229279,
0.020249251276254654,
-0.04856573045253754,
0.0752658024430275,
0.010405037552118301,
0.02781939134001732,
-0.0012579640606418252,
0.009341820143163204,
0.03671890124678612,
0.034822363406419754,
0.0066776275634765625,
0.08102558553218842,
-0.04029169678688049,
0.01174669899046421,
-0.07723350077867508,
-0.0061871763318777084,
0.009625740349292755,
0.1206025630235672,
0.07330689579248428,
0.06635435670614243,
-0.065111443400383,
0.005338394083082676,
0.002522444585338235,
-0.034734096378088,
-0.007506207562983036,
0.004063729662448168,
-0.0019162276294082403,
-0.01387536060065031,
0.027059216052293777,
0.05004401132464409,
-0.01914099231362343,
0.028196459636092186,
0.024732770398259163,
-0.01239444687962532,
-0.06043483689427376,
0.04013610631227493,
0.05721134692430496,
0.06941663473844528,
-0.02623428963124752,
0.01990317367017269,
-0.0019739868585020304,
-0.0459766685962677,
0.0069102696143090725,
0.036019038408994675,
0.011263642460107803,
-0.04347410798072815,
-0.03193264454603195,
-0.0654919445514679,
-0.023561440408229828,
0.09613768011331558,
-0.007973303087055683,
0.08223804086446762,
0.033859118819236755,
-0.0004812807310372591,
-0.022134024649858475,
0.06105208024382591,
-0.028573449701070786,
0.07510586827993393,
-0.09389521181583405,
0.06738141924142838,
-0.014627848751842976,
0.039358220994472504,
-0.010815683752298355,
-0.011070016771554947,
-0.0636502280831337,
-0.04484226927161217,
-0.02753490023314953,
-0.02008068561553955,
-0.0846671611070633,
-0.021605350077152252,
0.08095785975456238,
1.3253649214353366e-33,
-0.045459337532520294,
-0.05360958352684975,
-0.1484263837337494,
-0.06515926867723465,
0.014384395442903042,
-0.01881110481917858,
0.041191328316926956,
-0.003066292032599449,
-0.005437708459794521,
-0.006937716156244278,
-0.03006352297961712,
-0.0316925086081028,
-0.005206643603742123,
-0.027469592168927193,
0.045994363725185394,
0.02634696662425995,
-0.022216428071260452,
0.057464540004730225,
0.035431891679763794,
-0.05996168777346611,
0.011657360941171646,
-0.05873808264732361,
-0.003818813944235444,
0.004568866919726133,
0.04928440973162651,
0.06495805829763412,
-0.004016536753624678,
-0.08257027715444565,
0.0510106086730957,
0.03348660469055176,
-0.08327950537204742,
0.057127248495817184,
0.0794227123260498,
0.0032103245612233877,
0.005325959529727697,
-0.024188272655010223,
0.0396883599460125,
-0.06730207055807114,
-0.06515254080295563,
-0.059231966733932495,
-0.0016094708116725087,
-0.02859306149184704,
-0.02033722959458828,
-0.10160017758607864,
-0.016611622646450996,
-0.09075930714607239,
-0.019466575235128403,
-0.000763854943215847,
-0.026528876274824142,
0.06924367696046829,
0.054299939423799515,
-0.007655566092580557,
-0.008292707614600658,
0.032190605998039246,
0.035160765051841736,
-0.057862289249897,
0.06383895874023438,
0.04431220889091492,
0.05314411222934723,
0.1422569304704666,
-0.025777671486139297,
0.036156754940748215,
0.03499826043844223,
-0.03953692317008972,
0.001365538570098579,
0.08157612383365631,
-0.03716824948787689,
-0.08363199234008789,
0.033442843705415726,
-0.034225329756736755,
0.01170593872666359,
-0.014547343365848064,
-0.06136050820350647,
0.006368626840412617,
-0.06498292833566666,
-0.03254390135407448,
0.020399847999215126,
-0.014753026887774467,
0.025951595976948738,
-0.015035365708172321,
-0.005710852798074484,
-0.006729047745466232,
-0.02152865380048752,
0.04230452701449394,
-0.05044838786125183,
-0.05818070471286774,
0.011923380196094513,
0.0006912428070791066,
-0.05232114717364311,
0.018391696736216545,
-0.07625246047973633,
-0.06499260663986206,
0.06678683310747147,
-0.03736104816198349,
0.0827345922589302,
-2.107482108135861e-33,
-0.015718864277005196,
0.07622355967760086,
0.04974402114748955,
0.030851783230900764,
-0.06546054035425186,
-0.11417248845100403,
-0.0501570850610733,
-0.03545428439974785,
0.02077508717775345,
0.005473105236887932,
-0.016263313591480255,
-0.007698463276028633,
0.032774731516838074,
-0.025984132662415504,
0.09135688096284866,
-0.010801773518323898,
-0.006961096078157425,
0.04599037021398544,
-0.0192516278475523,
0.028703127056360245,
0.0716005489230156,
-0.002134708222001791,
0.08448252826929092,
-0.020036060363054276,
0.055134229362010956,
0.013304057531058788,
-0.039841365069150925,
0.08224228769540787,
0.11913510411977768,
-0.02940528839826584,
0.019147729501128197,
0.0031244484707713127,
0.00011842574895126745,
0.011659029871225357,
0.07059817016124725,
-0.04009983316063881,
0.07279384136199951,
0.11685681343078613,
-0.009975969791412354,
-0.013618461787700653,
0.05262736603617668,
0.010561719536781311,
-0.05916225537657738,
0.06770889461040497,
0.0413987897336483,
0.013125226832926273,
-0.03021898865699768,
0.0713406354188919,
0.04507776349782944,
-0.05116960406303406,
0.06451188772916794,
0.03213174641132355,
0.0853145644068718,
0.08159322291612625,
0.0005627215723507106,
0.05178290233016014,
0.10101915895938873,
0.08346966654062271,
0.06487319618463516,
-0.0011497194645926356,
0.0528327040374279,
-0.10365165024995804,
0.09145068377256393,
-0.02387404255568981,
0.052337583154439926,
-0.09034231305122375,
-0.017397213727235794,
-0.02270948700606823,
-0.0845145657658577,
0.025102389976382256,
0.08040639013051987,
-0.008969400078058243,
-0.020253458991646767,
0.0309256911277771,
0.09292233735322952,
0.00612577423453331,
-0.025749392807483673,
-0.0016572341555729508,
-0.02452792041003704,
0.10407540202140808,
-0.11382291465997696,
0.0945620983839035,
-0.03912453353404999,
0.050005991011857986,
0.055186737328767776,
0.031190164387226105,
-0.03703915700316429,
-0.08224046975374222,
-0.000004738762982015032,
-0.052347198128700256,
-0.03127460181713104,
0.04014712572097778,
0.018852345645427704,
-0.026646306738257408,
-0.05868197977542877,
-4.432545352983652e-8,
-0.040431130677461624,
-0.06089503690600395,
-0.052609458565711975,
-0.0275920070707798,
0.024879399687051773,
-0.04397577419877052,
-0.070658840239048,
-0.0025449711829423904,
0.034093402326107025,
-0.08363944292068481,
0.1014556884765625,
0.02006334625184536,
-0.039795730262994766,
-0.0382092148065567,
-0.0116701265797019,
-0.016431624069809914,
-0.10752169787883759,
-0.06080382317304611,
-0.012720145285129547,
0.056511666625738144,
0.008865094743669033,
-0.06282178312540054,
0.014149511232972145,
0.016525672748684883,
-0.0549934059381485,
-0.04440010339021683,
0.03500059247016907,
-0.03167694807052612,
0.001229604473337531,
-0.01966542936861515,
-0.01328335702419281,
0.0012819994008168578,
0.14223340153694153,
0.03413654863834381,
-0.011071834713220596,
0.02884204499423504,
0.005758993327617645,
0.007069585844874382,
-0.01699236035346985,
0.02235615998506546,
0.060859810560941696,
-0.11677254736423492,
0.0447223074734211,
-0.024391787126660347,
0.01936434395611286,
0.006023041903972626,
0.07926581799983978,
0.03898806497454643,
-0.030925888568162918,
-0.04802918806672096,
-0.01101628690958023,
-0.022320391610264778,
-0.10283400118350983,
-0.05020307004451752,
-0.03265126422047615,
-0.03157004714012146,
-0.019104046747088432,
-0.08033416420221329,
0.0942724347114563,
0.01338785421103239,
-0.04203321412205696,
0.07417037338018417,
-0.07002495229244232,
-0.040682654827833176
] |
1401.1632 | Eduardo Vega-Fuentes | E. Vega-Fuentes, S. Leon-del Rosario, J.M. Cerezo-Sanchez, A.
Vega-Martinez | Fuzzy Inference System for VOLT/VAR control in distribution substations
in isolated power systems | null | null | null | null | cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper presents a fuzzy inference system for voltage/reactive power
control in distribution substations. The purpose is go forward to automation
distribution and its implementation in isolated power systems where control
capabilities are limited and it is common using the same applications as in
continental power systems. This means that lot of functionalities do not apply
and computational burden generates high response times. A fuzzy controller,
with logic guidelines embedded based upon heuristic rules resulting from
operators at dispatch control center past experience, has been designed.
Working as an on-line tool, it has been tested under real conditions and it has
managed the operation during a whole day in a distribution substation. Within
the limits of control capabilities of the system, the controller maintained
successfully an acceptable voltage profile, power factor values over 0,98 and
it has ostensibly improved the performance given by an optimal power flow based
automation system.
| [
{
"created": "Wed, 8 Jan 2014 09:39:38 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Vega-Fuentes",
"E.",
""
],
[
"Rosario",
"S. Leon-del",
""
],
[
"Cerezo-Sanchez",
"J. M.",
""
],
[
"Vega-Martinez",
"A.",
""
]
] | [
-0.006352583412081003,
-0.0006442697485908866,
0.014538852497935295,
0.05596522241830826,
-0.018289003521203995,
0.05171112343668938,
-0.034829605370759964,
0.058384839445352554,
-0.04976729303598404,
0.05082431063055992,
0.011427071876823902,
-0.049326092004776,
-0.010634439997375011,
-0.034900110214948654,
-0.005702657625079155,
0.028531387448310852,
0.10904331505298615,
-0.1660986989736557,
-0.0031702914275228977,
-0.0990108773112297,
0.04804055765271187,
-0.043601930141448975,
-0.03213502839207649,
-0.05593208596110344,
0.08450066298246384,
0.01039003673940897,
-0.09489601105451584,
0.014060836285352707,
-0.0360780730843544,
0.009526094421744347,
-0.0609818771481514,
-0.06257548928260803,
0.04355064779520035,
-0.0013217179803177714,
-0.020912611857056618,
0.05070286989212036,
-0.022094154730439186,
0.06718999892473221,
0.11939478665590286,
0.04019714519381523,
-0.007406213786453009,
-0.022595735266804695,
-0.04212869703769684,
-0.001243486418388784,
0.002665566746145487,
-0.0061108446680009365,
-0.04730967432260513,
-0.003002032870426774,
-0.009608899243175983,
0.06906217336654663,
-0.001829914515838027,
-0.007150229532271624,
0.03745829686522484,
-0.012001147493720055,
0.05467266961932182,
-0.006603066343814135,
0.10243404656648636,
-0.02609526738524437,
0.03246172517538071,
0.004039962776005268,
-0.09643533080816269,
-0.09518653899431229,
0.05064438655972481,
0.004519489128142595,
-0.08126101642847061,
0.009605779312551022,
0.0003971816331613809,
0.024759026244282722,
0.014782370999455452,
-0.15976658463478088,
-0.0016904351068660617,
0.036267414689064026,
-0.04811888560652733,
0.043456777930259705,
-0.02616562321782112,
0.012027289718389511,
0.00012792457710020244,
-0.08805302530527115,
-0.007290282752364874,
0.0009100732859224081,
0.018724318593740463,
0.05901468172669411,
-0.08035227656364441,
0.054722294211387634,
-0.037897299975156784,
0.025098225101828575,
0.01989930495619774,
0.02789285033941269,
0.05720561370253563,
0.017645254731178284,
0.08295634388923645,
0.03243020176887512,
0.15992885828018188,
0.0864984318614006,
0.051907729357481,
0.008797270245850086,
0.023753643035888672,
0.01459995936602354,
-0.08194775134325027,
0.0229702889919281,
0.06606492400169373,
0.02664889022707939,
0.044535454362630844,
-0.10016294568777084,
0.05137736722826958,
0.01902717724442482,
0.03860411420464516,
-0.046052977442741394,
-0.004065332468599081,
-0.10432510823011398,
-0.040634650737047195,
-0.03670821711421013,
-0.002490628743544221,
-0.06424733251333237,
-0.03150578960776329,
0.01024449523538351,
0.08993152529001236,
-0.009071500040590763,
-0.035972192883491516,
-0.07016731053590775,
0.037846971303224564,
-0.014018435031175613,
0.04293416813015938,
0.04495978355407715,
0.06609714031219482,
-0.0027038531843572855,
0.008024850860238075,
3.254684146643779e-33,
-0.09910926967859268,
-0.06992711871862411,
-0.014112858101725578,
0.003337887115776539,
0.01977570354938507,
0.03595724329352379,
0.02712186798453331,
0.022904664278030396,
0.06236020848155022,
0.040870025753974915,
0.05969924107193947,
0.005990787874907255,
-0.003342690644785762,
-0.054331596940755844,
-0.06517570465803146,
-0.05572071671485901,
0.056077394634485245,
-0.03534780815243721,
0.06765604019165039,
0.04018387570977211,
0.060640089213848114,
-0.013461154885590076,
0.027906151488423347,
0.008025920018553734,
-0.00733864726498723,
-0.04308343678712845,
0.0312676839530468,
-0.010691705159842968,
-0.022478647530078888,
-0.01896931789815426,
0.04122123867273331,
0.008348673582077026,
0.01347669679671526,
0.0631781741976738,
-0.07969989627599716,
-0.043391432613134384,
-0.007512880954891443,
-0.05578051507472992,
0.02660868875682354,
0.06493106484413147,
-0.06537552177906036,
-0.033977147191762924,
-0.04288020357489586,
0.03722291439771652,
-0.013160896487534046,
0.02367030642926693,
0.02142433263361454,
-0.02670845203101635,
0.016147326678037643,
0.025613032281398773,
-0.01689397171139717,
0.034861110150814056,
0.08434762805700302,
-0.05336961895227432,
0.08309570699930191,
-0.0071016596630215645,
-0.07676960527896881,
0.0023009793367236853,
0.08452540636062622,
0.040258295834064484,
-0.1024540364742279,
-0.03516174480319023,
-0.02566402032971382,
-0.010076049715280533,
0.04864921048283577,
-0.07079747319221497,
-0.07340527325868607,
-0.03359093889594078,
-0.02639332227408886,
-0.004498858470469713,
0.05365989729762077,
0.0003960360190831125,
-0.01415209099650383,
-0.06414051353931427,
0.02616269700229168,
-0.0036128598731011152,
-0.00011095451918663457,
0.12320463359355927,
-0.050953540951013565,
-0.10741112381219864,
-0.059230003505945206,
0.06236093118786812,
0.007792542688548565,
0.04723859578371048,
0.15481601655483246,
-0.026498889550566673,
-0.021802300587296486,
0.05932934582233429,
-0.097654789686203,
-0.024871353060007095,
0.03546105697751045,
0.012066067196428776,
0.02640945464372635,
0.0013495294842869043,
0.012957338243722916,
-1.4240423457280905e-33,
-0.018983984366059303,
0.05090302973985672,
-0.0881844237446785,
0.009960733354091644,
-0.0026242537423968315,
0.015448774211108685,
0.02267703413963318,
0.06055092811584473,
0.03921404108405113,
0.016155004501342773,
-0.06295324116945267,
0.04127071797847748,
-0.02140868455171585,
-0.03747642785310745,
0.050316356122493744,
0.048087697476148605,
-0.019001394510269165,
-0.02011089026927948,
-0.01786426082253456,
0.022970205172896385,
-0.03038100153207779,
0.018808558583259583,
-0.10321857780218124,
-0.026266133412718773,
-0.015240157023072243,
0.08261529356241226,
-0.07801954448223114,
0.01842040941119194,
-0.041920993477106094,
0.0994524359703064,
-0.07903357595205307,
0.06166800484061241,
-0.0013998325448483229,
0.01821940764784813,
-0.04477301239967346,
-0.0634191632270813,
-0.06795697659254074,
0.04139010235667229,
-0.027026059105992317,
0.09207651764154434,
-0.15313245356082916,
0.011123006232082844,
-0.029495958238840103,
-0.1207098662853241,
-0.058534473180770874,
0.05217432603240013,
0.07775180786848068,
0.01370820589363575,
-0.03478173166513443,
0.02971111238002777,
-0.014511718414723873,
-0.045230522751808167,
-0.004966419655829668,
0.015882613137364388,
0.05046723410487175,
-0.003747762879356742,
0.016185680404305458,
0.07321768999099731,
-0.025264468044042587,
-0.03659163787961006,
0.045392755419015884,
-0.03974705561995506,
0.11516636610031128,
0.03339511156082153,
-0.057552605867385864,
0.08353171497583389,
0.014042042195796967,
0.024036234244704247,
0.02845068648457527,
-0.028985638171434402,
0.02049456164240837,
0.015131339430809021,
0.03159913048148155,
-0.05503895878791809,
0.07122811675071716,
-0.008153017610311508,
0.028845028951764107,
0.0007595456554554403,
-0.00509886909276247,
0.06879972666501999,
-0.02290279045701027,
0.012538674287497997,
-0.014634563587605953,
0.02012358233332634,
-0.06521602720022202,
-0.026590578258037567,
0.012601593509316444,
-0.027912719175219536,
0.13276982307434082,
0.06400179862976074,
-0.07367460429668427,
0.03893990069627762,
-0.03294380009174347,
0.04391206428408623,
-0.0009608773398213089,
-4.437130485257512e-8,
-0.02235700562596321,
0.10969660431146622,
0.04573282226920128,
0.009183024056255817,
0.07141713052988052,
0.006443158723413944,
-0.006926370318979025,
-0.08290187269449234,
-0.05096840858459473,
0.03667714074254036,
0.08584968745708466,
-0.05722606182098389,
0.02483551762998104,
-0.03618691861629486,
-0.002839446533471346,
-0.007624461315572262,
0.06673689186573029,
0.10214575380086899,
-0.005004059989005327,
0.055415503680706024,
-0.02410549856722355,
-0.019128983840346336,
-0.04007890820503235,
0.06868340075016022,
0.08754782378673553,
-0.014912537299096584,
-0.01602770760655403,
-0.05638210475444794,
0.023767463862895966,
0.006300559267401695,
-0.010727031156420708,
0.010847872123122215,
-0.00011282025661785156,
-0.05192872881889343,
0.05763346329331398,
0.029690779745578766,
0.0008660979219712317,
-0.05921415239572525,
0.010761464945971966,
-0.02082734927535057,
-0.015602477826178074,
-0.05486302077770233,
0.02594759128987789,
-0.04280221089720726,
-0.01406377274543047,
-0.0014508076710626483,
0.014245507307350636,
-0.11088218539953232,
0.029132217168807983,
0.06427835673093796,
0.03981378674507141,
0.02831394597887993,
-0.05261862650513649,
0.02664201706647873,
0.0379323847591877,
-0.12038376927375793,
0.010577095672488213,
0.03964315354824066,
-0.048923078924417496,
-0.006894401274621487,
-0.02067328244447708,
0.03718959540128708,
0.04631689935922623,
-0.03587598353624344
] | null | null | null | null | null | null | null | [
-0.006352583412081003,
-0.0006442697485908866,
0.014538852497935295,
0.05596522241830826,
-0.018289003521203995,
0.05171112343668938,
-0.034829605370759964,
0.058384839445352554,
-0.04976729303598404,
0.05082431063055992,
0.011427071876823902,
-0.049326092004776,
-0.010634439997375011,
-0.034900110214948654,
-0.005702657625079155,
0.028531387448310852,
0.10904331505298615,
-0.1660986989736557,
-0.0031702914275228977,
-0.0990108773112297,
0.04804055765271187,
-0.043601930141448975,
-0.03213502839207649,
-0.05593208596110344,
0.08450066298246384,
0.01039003673940897,
-0.09489601105451584,
0.014060836285352707,
-0.0360780730843544,
0.009526094421744347,
-0.0609818771481514,
-0.06257548928260803,
0.04355064779520035,
-0.0013217179803177714,
-0.020912611857056618,
0.05070286989212036,
-0.022094154730439186,
0.06718999892473221,
0.11939478665590286,
0.04019714519381523,
-0.007406213786453009,
-0.022595735266804695,
-0.04212869703769684,
-0.001243486418388784,
0.002665566746145487,
-0.0061108446680009365,
-0.04730967432260513,
-0.003002032870426774,
-0.009608899243175983,
0.06906217336654663,
-0.001829914515838027,
-0.007150229532271624,
0.03745829686522484,
-0.012001147493720055,
0.05467266961932182,
-0.006603066343814135,
0.10243404656648636,
-0.02609526738524437,
0.03246172517538071,
0.004039962776005268,
-0.09643533080816269,
-0.09518653899431229,
0.05064438655972481,
0.004519489128142595,
-0.08126101642847061,
0.009605779312551022,
0.0003971816331613809,
0.024759026244282722,
0.014782370999455452,
-0.15976658463478088,
-0.0016904351068660617,
0.036267414689064026,
-0.04811888560652733,
0.043456777930259705,
-0.02616562321782112,
0.012027289718389511,
0.00012792457710020244,
-0.08805302530527115,
-0.007290282752364874,
0.0009100732859224081,
0.018724318593740463,
0.05901468172669411,
-0.08035227656364441,
0.054722294211387634,
-0.037897299975156784,
0.025098225101828575,
0.01989930495619774,
0.02789285033941269,
0.05720561370253563,
0.017645254731178284,
0.08295634388923645,
0.03243020176887512,
0.15992885828018188,
0.0864984318614006,
0.051907729357481,
0.008797270245850086,
0.023753643035888672,
0.01459995936602354,
-0.08194775134325027,
0.0229702889919281,
0.06606492400169373,
0.02664889022707939,
0.044535454362630844,
-0.10016294568777084,
0.05137736722826958,
0.01902717724442482,
0.03860411420464516,
-0.046052977442741394,
-0.004065332468599081,
-0.10432510823011398,
-0.040634650737047195,
-0.03670821711421013,
-0.002490628743544221,
-0.06424733251333237,
-0.03150578960776329,
0.01024449523538351,
0.08993152529001236,
-0.009071500040590763,
-0.035972192883491516,
-0.07016731053590775,
0.037846971303224564,
-0.014018435031175613,
0.04293416813015938,
0.04495978355407715,
0.06609714031219482,
-0.0027038531843572855,
0.008024850860238075,
3.254684146643779e-33,
-0.09910926967859268,
-0.06992711871862411,
-0.014112858101725578,
0.003337887115776539,
0.01977570354938507,
0.03595724329352379,
0.02712186798453331,
0.022904664278030396,
0.06236020848155022,
0.040870025753974915,
0.05969924107193947,
0.005990787874907255,
-0.003342690644785762,
-0.054331596940755844,
-0.06517570465803146,
-0.05572071671485901,
0.056077394634485245,
-0.03534780815243721,
0.06765604019165039,
0.04018387570977211,
0.060640089213848114,
-0.013461154885590076,
0.027906151488423347,
0.008025920018553734,
-0.00733864726498723,
-0.04308343678712845,
0.0312676839530468,
-0.010691705159842968,
-0.022478647530078888,
-0.01896931789815426,
0.04122123867273331,
0.008348673582077026,
0.01347669679671526,
0.0631781741976738,
-0.07969989627599716,
-0.043391432613134384,
-0.007512880954891443,
-0.05578051507472992,
0.02660868875682354,
0.06493106484413147,
-0.06537552177906036,
-0.033977147191762924,
-0.04288020357489586,
0.03722291439771652,
-0.013160896487534046,
0.02367030642926693,
0.02142433263361454,
-0.02670845203101635,
0.016147326678037643,
0.025613032281398773,
-0.01689397171139717,
0.034861110150814056,
0.08434762805700302,
-0.05336961895227432,
0.08309570699930191,
-0.0071016596630215645,
-0.07676960527896881,
0.0023009793367236853,
0.08452540636062622,
0.040258295834064484,
-0.1024540364742279,
-0.03516174480319023,
-0.02566402032971382,
-0.010076049715280533,
0.04864921048283577,
-0.07079747319221497,
-0.07340527325868607,
-0.03359093889594078,
-0.02639332227408886,
-0.004498858470469713,
0.05365989729762077,
0.0003960360190831125,
-0.01415209099650383,
-0.06414051353931427,
0.02616269700229168,
-0.0036128598731011152,
-0.00011095451918663457,
0.12320463359355927,
-0.050953540951013565,
-0.10741112381219864,
-0.059230003505945206,
0.06236093118786812,
0.007792542688548565,
0.04723859578371048,
0.15481601655483246,
-0.026498889550566673,
-0.021802300587296486,
0.05932934582233429,
-0.097654789686203,
-0.024871353060007095,
0.03546105697751045,
0.012066067196428776,
0.02640945464372635,
0.0013495294842869043,
0.012957338243722916,
-1.4240423457280905e-33,
-0.018983984366059303,
0.05090302973985672,
-0.0881844237446785,
0.009960733354091644,
-0.0026242537423968315,
0.015448774211108685,
0.02267703413963318,
0.06055092811584473,
0.03921404108405113,
0.016155004501342773,
-0.06295324116945267,
0.04127071797847748,
-0.02140868455171585,
-0.03747642785310745,
0.050316356122493744,
0.048087697476148605,
-0.019001394510269165,
-0.02011089026927948,
-0.01786426082253456,
0.022970205172896385,
-0.03038100153207779,
0.018808558583259583,
-0.10321857780218124,
-0.026266133412718773,
-0.015240157023072243,
0.08261529356241226,
-0.07801954448223114,
0.01842040941119194,
-0.041920993477106094,
0.0994524359703064,
-0.07903357595205307,
0.06166800484061241,
-0.0013998325448483229,
0.01821940764784813,
-0.04477301239967346,
-0.0634191632270813,
-0.06795697659254074,
0.04139010235667229,
-0.027026059105992317,
0.09207651764154434,
-0.15313245356082916,
0.011123006232082844,
-0.029495958238840103,
-0.1207098662853241,
-0.058534473180770874,
0.05217432603240013,
0.07775180786848068,
0.01370820589363575,
-0.03478173166513443,
0.02971111238002777,
-0.014511718414723873,
-0.045230522751808167,
-0.004966419655829668,
0.015882613137364388,
0.05046723410487175,
-0.003747762879356742,
0.016185680404305458,
0.07321768999099731,
-0.025264468044042587,
-0.03659163787961006,
0.045392755419015884,
-0.03974705561995506,
0.11516636610031128,
0.03339511156082153,
-0.057552605867385864,
0.08353171497583389,
0.014042042195796967,
0.024036234244704247,
0.02845068648457527,
-0.028985638171434402,
0.02049456164240837,
0.015131339430809021,
0.03159913048148155,
-0.05503895878791809,
0.07122811675071716,
-0.008153017610311508,
0.028845028951764107,
0.0007595456554554403,
-0.00509886909276247,
0.06879972666501999,
-0.02290279045701027,
0.012538674287497997,
-0.014634563587605953,
0.02012358233332634,
-0.06521602720022202,
-0.026590578258037567,
0.012601593509316444,
-0.027912719175219536,
0.13276982307434082,
0.06400179862976074,
-0.07367460429668427,
0.03893990069627762,
-0.03294380009174347,
0.04391206428408623,
-0.0009608773398213089,
-4.437130485257512e-8,
-0.02235700562596321,
0.10969660431146622,
0.04573282226920128,
0.009183024056255817,
0.07141713052988052,
0.006443158723413944,
-0.006926370318979025,
-0.08290187269449234,
-0.05096840858459473,
0.03667714074254036,
0.08584968745708466,
-0.05722606182098389,
0.02483551762998104,
-0.03618691861629486,
-0.002839446533471346,
-0.007624461315572262,
0.06673689186573029,
0.10214575380086899,
-0.005004059989005327,
0.055415503680706024,
-0.02410549856722355,
-0.019128983840346336,
-0.04007890820503235,
0.06868340075016022,
0.08754782378673553,
-0.014912537299096584,
-0.01602770760655403,
-0.05638210475444794,
0.023767463862895966,
0.006300559267401695,
-0.010727031156420708,
0.010847872123122215,
-0.00011282025661785156,
-0.05192872881889343,
0.05763346329331398,
0.029690779745578766,
0.0008660979219712317,
-0.05921415239572525,
0.010761464945971966,
-0.02082734927535057,
-0.015602477826178074,
-0.05486302077770233,
0.02594759128987789,
-0.04280221089720726,
-0.01406377274543047,
-0.0014508076710626483,
0.014245507307350636,
-0.11088218539953232,
0.029132217168807983,
0.06427835673093796,
0.03981378674507141,
0.02831394597887993,
-0.05261862650513649,
0.02664201706647873,
0.0379323847591877,
-0.12038376927375793,
0.010577095672488213,
0.03964315354824066,
-0.048923078924417496,
-0.006894401274621487,
-0.02067328244447708,
0.03718959540128708,
0.04631689935922623,
-0.03587598353624344
] |
1401.1644 | Fernando Falceto | J. G. Esteve and F. Falceto | Neutrino mass and Extreme Value Distributions in $\beta$-decay | 6 pages, 3 figures; published version | J. Phys. G: Nucl. Part. Phys. 41 (2014) 055011 | 10.1088/0954-3899/41/5/055011 | null | physics.data-an nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new application of the Extreme Value Theory for distributions
with compact support. The novelty of our proposal is the use of these tools to
estimate the neutrino mass from the energy spectrum of electrons in
$\beta$-decay. In this way the dependence of the result on the mass of the
neutrino is considerably enhanced increasing the sensitivity of the experiment.
| [
{
"created": "Wed, 8 Jan 2014 10:17:18 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Apr 2014 12:34:01 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Esteve",
"J. G.",
""
],
[
"Falceto",
"F.",
""
]
] | [
-0.07210391014814377,
0.034869011491537094,
-0.02152130752801895,
0.090985968708992,
-0.0206364206969738,
0.01367508340626955,
0.007122543640434742,
0.13541743159294128,
-0.06362053751945496,
-0.04799741506576538,
0.019329769536852837,
0.008488482795655727,
-0.01107817329466343,
0.04028817266225815,
0.01787174493074417,
-0.05359267815947533,
0.10788009315729141,
0.015322786755859852,
-0.05387390777468681,
0.06247372180223465,
-0.010252882726490498,
0.034061919897794724,
-0.017939889803528786,
-0.035054270178079605,
0.053017884492874146,
-0.09894928336143494,
-0.01667836494743824,
-0.031159864738583565,
0.0467856302857399,
-0.03298812359571457,
0.10422800481319427,
-0.00970182754099369,
0.03504716977477074,
0.05512598529458046,
0.05445903539657593,
-0.009154364466667175,
-0.04229395091533661,
-0.015366839244961739,
0.05289220064878464,
0.01775955967605114,
0.022923236712813377,
0.04320695996284485,
-0.004041730426251888,
0.00592336431145668,
0.019136963412165642,
-0.046549003571271896,
-0.0035328457597643137,
-0.07652890682220459,
0.011387523263692856,
-0.01181238517165184,
0.08122719824314117,
0.04029076546430588,
0.02071688324213028,
0.029558103531599045,
0.015158806927502155,
-0.038073547184467316,
0.046372849494218826,
-0.14790672063827515,
-0.005125319119542837,
0.042613934725522995,
0.0340968519449234,
-0.011726800352334976,
-0.0021821020636707544,
0.05741620808839798,
0.03868774324655533,
-0.009573285467922688,
0.04341034218668938,
-0.025335395708680153,
0.028404174372553825,
0.02090424858033657,
-0.04611029848456383,
0.03835247829556465,
-0.1271699219942093,
-0.03725568205118179,
0.03761305287480354,
-0.03155149891972542,
-0.02017335034906864,
-0.042894020676612854,
0.015927918255329132,
-0.02515130117535591,
0.05253005400300026,
-0.07218197733163834,
-0.011884037405252457,
-0.055460184812545776,
0.1222602054476738,
0.047004334628582,
-0.032150302082300186,
0.10105708241462708,
-0.00047414060099981725,
0.01613602787256241,
0.018971990793943405,
-0.02903694286942482,
-0.09697392582893372,
0.10790130496025085,
-0.01833498477935791,
0.040953297168016434,
-0.013545860536396503,
-0.06189095601439476,
-0.01648183912038803,
0.04835010692477226,
-0.03359906002879143,
-0.026014814153313637,
0.07694248110055923,
0.022003721445798874,
0.04552182927727699,
-0.12211653590202332,
0.028041288256645203,
-0.01654258742928505,
0.049069155007600784,
0.033997874706983566,
0.02775426022708416,
-0.056732047349214554,
-0.007677491754293442,
0.003721057204529643,
0.03269777446985245,
-0.053296566009521484,
0.041568927466869354,
0.13443544507026672,
-0.07607565820217133,
-0.05793118476867676,
0.06029782071709633,
0.010496154427528381,
-0.08716052770614624,
0.036308158189058304,
0.027478547766804695,
0.0899861752986908,
-0.0199403315782547,
-2.6438123800403207e-34,
0.039027903228998184,
-0.060856595635414124,
-0.026585549116134644,
-0.029086163267493248,
0.04276570305228233,
0.04234926775097847,
-0.02410527877509594,
-0.008063200861215591,
-0.046627845615148544,
0.043960507959127426,
0.008675719611346722,
0.029511980712413788,
-0.008380705490708351,
-0.004679595585912466,
-0.05050495266914368,
-0.01610325649380684,
-0.027133477851748466,
0.11320924758911133,
0.06938397139310837,
-0.009650684893131256,
0.0019677274394780397,
-0.047675762325525284,
0.027660313993692398,
-0.08873318135738373,
-0.004620816092938185,
0.01976669579744339,
-0.019764993339776993,
0.03752373903989792,
-0.06677427887916565,
-0.012291287072002888,
-0.06268133223056793,
0.060879215598106384,
0.003271948779001832,
0.0055944351479411125,
-0.014140227809548378,
-0.05735722556710243,
-0.0966954156756401,
-0.014180188067257404,
-0.06687995791435242,
-0.06116694584488869,
-0.043109454214572906,
0.08484714478254318,
-0.07161670178174973,
-0.039431020617485046,
-0.004700575955212116,
0.0023272873368114233,
0.19177809357643127,
-0.027608703821897507,
0.04974983632564545,
-0.10506221652030945,
-0.010415375232696533,
-0.007929852232336998,
-0.10338448733091354,
-0.011311507783830166,
0.04583219066262245,
0.03140440583229065,
0.031771477311849594,
0.02275100164115429,
0.01172634307295084,
-0.01814623363316059,
-0.06813476234674454,
-0.0035627938341349363,
0.03396139293909073,
0.02362070046365261,
0.07750603556632996,
0.03910154849290848,
-0.036834780126810074,
-0.05043916031718254,
-0.021349554881453514,
0.026368578895926476,
0.026269840076565742,
0.03962135687470436,
0.026965493336319923,
-0.12243416905403137,
-0.05266975611448288,
0.015621681697666645,
0.031177781522274017,
-0.040661633014678955,
-0.022852985188364983,
0.02491888962686062,
0.008733894675970078,
-0.1319323629140854,
0.03526678308844566,
0.0034023262560367584,
-0.003294178517535329,
0.06803128868341446,
-0.035564109683036804,
-0.03173362836241722,
0.015751946717500687,
-0.09318128228187561,
-0.038209639489650726,
-0.01722431182861328,
-0.05738997831940651,
-0.051353007555007935,
0.00913078710436821,
-3.1545502113819597e-34,
-0.03521224856376648,
0.04710375517606735,
-0.022678621113300323,
0.02181849628686905,
0.004647514782845974,
-0.0070399334654212,
-0.056782905012369156,
-0.007493752986192703,
-0.039743050932884216,
0.0033132953103631735,
0.006058141589164734,
0.0387660376727581,
-0.031113730743527412,
-0.08645080775022507,
0.0023684180341660976,
-0.008822361007332802,
0.040485795587301254,
0.011707974597811699,
0.06918647140264511,
-0.028658049181103706,
0.004158699885010719,
0.04074941202998161,
-0.09664744138717651,
0.04824097827076912,
0.009116054512560368,
0.00834510289132595,
0.012820521369576454,
-0.02097870223224163,
0.04581368342041969,
-0.05666613206267357,
-0.02535649947822094,
0.000921203347388655,
0.006963137071579695,
-0.014929087832570076,
-0.022872382774949074,
0.0335376150906086,
-0.003623662982136011,
0.12394794821739197,
-0.008350098505616188,
0.06624306738376617,
0.04881477728486061,
0.12941865622997284,
-0.026536643505096436,
-0.02217695489525795,
0.12226196378469467,
-0.045232415199279785,
0.09139882773160934,
-0.03883543983101845,
0.030987784266471863,
-0.025049764662981033,
0.002252760110422969,
-0.10967753827571869,
-0.003306909929960966,
0.05371663719415665,
-0.04956886172294617,
0.032979659736156464,
-0.09105343371629715,
-0.016663681715726852,
0.042201507836580276,
-0.13235360383987427,
-0.0233507938683033,
-0.004711865913122892,
0.007030370645225048,
0.0334695465862751,
-0.09198563545942307,
0.05509643256664276,
-0.08626123517751694,
0.019201183691620827,
-0.06176508590579033,
-0.015580087900161743,
0.05627705901861191,
-0.04966659098863602,
0.029141366481781006,
0.04339287430047989,
-0.03872179612517357,
-0.04358760640025139,
-0.0028880746103823185,
-0.08940940350294113,
0.05446014180779457,
0.0037357097025960684,
-0.043141406029462814,
0.06435512006282806,
0.020223848521709442,
-0.020637445151805878,
0.08740535378456116,
-0.0015684980899095535,
-0.07801938056945801,
0.035052839666604996,
0.08021100610494614,
-0.03414437547326088,
-0.08170191943645477,
0.06671183556318283,
0.015614388510584831,
-0.004105027765035629,
0.04686214029788971,
-3.696006700693033e-8,
0.08752907812595367,
0.016465099528431892,
-0.002668459666892886,
0.00010269311314914376,
0.14239200949668884,
0.02201629802584648,
0.006967491004616022,
-0.08051180839538574,
-0.03560234233736992,
0.09796909987926483,
0.015152252279222012,
-0.029699157923460007,
0.0010672541102394462,
0.02280256152153015,
-0.011337690986692905,
0.05433660373091698,
0.012875027023255825,
-0.05130718648433685,
-0.0030264502856880426,
-0.000675643386784941,
0.022263988852500916,
0.030047493055462837,
0.08772218972444534,
-0.052825335413217545,
-0.034443169832229614,
0.030131297186017036,
0.0038853446021676064,
-0.017005259171128273,
0.00383903575129807,
0.0006211842992343009,
-0.03029683232307434,
-0.005651935003697872,
0.03915542736649513,
0.01249852403998375,
0.07010294497013092,
0.04866066202521324,
-0.04332408681511879,
0.01444508321583271,
0.0578041672706604,
0.09982886910438538,
-0.024678923189640045,
-0.007502381689846516,
0.01976161077618599,
0.04193226620554924,
-0.0580478198826313,
0.05785900726914406,
-0.05658335983753204,
0.028759807348251343,
-0.0025010681711137295,
0.06420768052339554,
0.05574784055352211,
-0.016734879463911057,
-0.052411988377571106,
-0.029367176815867424,
-0.018250716850161552,
0.011871667578816414,
-0.02737448178231716,
0.018654752522706985,
-0.04205461964011192,
-0.04454662278294563,
0.06018146872520447,
-0.09364371746778488,
-0.06399136781692505,
0.020833037793636322
] | null | null | null | null | null | null | null | [
-0.07210391014814377,
0.034869011491537094,
-0.02152130752801895,
0.090985968708992,
-0.0206364206969738,
0.01367508340626955,
0.007122543640434742,
0.13541743159294128,
-0.06362053751945496,
-0.04799741506576538,
0.019329769536852837,
0.008488482795655727,
-0.01107817329466343,
0.04028817266225815,
0.01787174493074417,
-0.05359267815947533,
0.10788009315729141,
0.015322786755859852,
-0.05387390777468681,
0.06247372180223465,
-0.010252882726490498,
0.034061919897794724,
-0.017939889803528786,
-0.035054270178079605,
0.053017884492874146,
-0.09894928336143494,
-0.01667836494743824,
-0.031159864738583565,
0.0467856302857399,
-0.03298812359571457,
0.10422800481319427,
-0.00970182754099369,
0.03504716977477074,
0.05512598529458046,
0.05445903539657593,
-0.009154364466667175,
-0.04229395091533661,
-0.015366839244961739,
0.05289220064878464,
0.01775955967605114,
0.022923236712813377,
0.04320695996284485,
-0.004041730426251888,
0.00592336431145668,
0.019136963412165642,
-0.046549003571271896,
-0.0035328457597643137,
-0.07652890682220459,
0.011387523263692856,
-0.01181238517165184,
0.08122719824314117,
0.04029076546430588,
0.02071688324213028,
0.029558103531599045,
0.015158806927502155,
-0.038073547184467316,
0.046372849494218826,
-0.14790672063827515,
-0.005125319119542837,
0.042613934725522995,
0.0340968519449234,
-0.011726800352334976,
-0.0021821020636707544,
0.05741620808839798,
0.03868774324655533,
-0.009573285467922688,
0.04341034218668938,
-0.025335395708680153,
0.028404174372553825,
0.02090424858033657,
-0.04611029848456383,
0.03835247829556465,
-0.1271699219942093,
-0.03725568205118179,
0.03761305287480354,
-0.03155149891972542,
-0.02017335034906864,
-0.042894020676612854,
0.015927918255329132,
-0.02515130117535591,
0.05253005400300026,
-0.07218197733163834,
-0.011884037405252457,
-0.055460184812545776,
0.1222602054476738,
0.047004334628582,
-0.032150302082300186,
0.10105708241462708,
-0.00047414060099981725,
0.01613602787256241,
0.018971990793943405,
-0.02903694286942482,
-0.09697392582893372,
0.10790130496025085,
-0.01833498477935791,
0.040953297168016434,
-0.013545860536396503,
-0.06189095601439476,
-0.01648183912038803,
0.04835010692477226,
-0.03359906002879143,
-0.026014814153313637,
0.07694248110055923,
0.022003721445798874,
0.04552182927727699,
-0.12211653590202332,
0.028041288256645203,
-0.01654258742928505,
0.049069155007600784,
0.033997874706983566,
0.02775426022708416,
-0.056732047349214554,
-0.007677491754293442,
0.003721057204529643,
0.03269777446985245,
-0.053296566009521484,
0.041568927466869354,
0.13443544507026672,
-0.07607565820217133,
-0.05793118476867676,
0.06029782071709633,
0.010496154427528381,
-0.08716052770614624,
0.036308158189058304,
0.027478547766804695,
0.0899861752986908,
-0.0199403315782547,
-2.6438123800403207e-34,
0.039027903228998184,
-0.060856595635414124,
-0.026585549116134644,
-0.029086163267493248,
0.04276570305228233,
0.04234926775097847,
-0.02410527877509594,
-0.008063200861215591,
-0.046627845615148544,
0.043960507959127426,
0.008675719611346722,
0.029511980712413788,
-0.008380705490708351,
-0.004679595585912466,
-0.05050495266914368,
-0.01610325649380684,
-0.027133477851748466,
0.11320924758911133,
0.06938397139310837,
-0.009650684893131256,
0.0019677274394780397,
-0.047675762325525284,
0.027660313993692398,
-0.08873318135738373,
-0.004620816092938185,
0.01976669579744339,
-0.019764993339776993,
0.03752373903989792,
-0.06677427887916565,
-0.012291287072002888,
-0.06268133223056793,
0.060879215598106384,
0.003271948779001832,
0.0055944351479411125,
-0.014140227809548378,
-0.05735722556710243,
-0.0966954156756401,
-0.014180188067257404,
-0.06687995791435242,
-0.06116694584488869,
-0.043109454214572906,
0.08484714478254318,
-0.07161670178174973,
-0.039431020617485046,
-0.004700575955212116,
0.0023272873368114233,
0.19177809357643127,
-0.027608703821897507,
0.04974983632564545,
-0.10506221652030945,
-0.010415375232696533,
-0.007929852232336998,
-0.10338448733091354,
-0.011311507783830166,
0.04583219066262245,
0.03140440583229065,
0.031771477311849594,
0.02275100164115429,
0.01172634307295084,
-0.01814623363316059,
-0.06813476234674454,
-0.0035627938341349363,
0.03396139293909073,
0.02362070046365261,
0.07750603556632996,
0.03910154849290848,
-0.036834780126810074,
-0.05043916031718254,
-0.021349554881453514,
0.026368578895926476,
0.026269840076565742,
0.03962135687470436,
0.026965493336319923,
-0.12243416905403137,
-0.05266975611448288,
0.015621681697666645,
0.031177781522274017,
-0.040661633014678955,
-0.022852985188364983,
0.02491888962686062,
0.008733894675970078,
-0.1319323629140854,
0.03526678308844566,
0.0034023262560367584,
-0.003294178517535329,
0.06803128868341446,
-0.035564109683036804,
-0.03173362836241722,
0.015751946717500687,
-0.09318128228187561,
-0.038209639489650726,
-0.01722431182861328,
-0.05738997831940651,
-0.051353007555007935,
0.00913078710436821,
-3.1545502113819597e-34,
-0.03521224856376648,
0.04710375517606735,
-0.022678621113300323,
0.02181849628686905,
0.004647514782845974,
-0.0070399334654212,
-0.056782905012369156,
-0.007493752986192703,
-0.039743050932884216,
0.0033132953103631735,
0.006058141589164734,
0.0387660376727581,
-0.031113730743527412,
-0.08645080775022507,
0.0023684180341660976,
-0.008822361007332802,
0.040485795587301254,
0.011707974597811699,
0.06918647140264511,
-0.028658049181103706,
0.004158699885010719,
0.04074941202998161,
-0.09664744138717651,
0.04824097827076912,
0.009116054512560368,
0.00834510289132595,
0.012820521369576454,
-0.02097870223224163,
0.04581368342041969,
-0.05666613206267357,
-0.02535649947822094,
0.000921203347388655,
0.006963137071579695,
-0.014929087832570076,
-0.022872382774949074,
0.0335376150906086,
-0.003623662982136011,
0.12394794821739197,
-0.008350098505616188,
0.06624306738376617,
0.04881477728486061,
0.12941865622997284,
-0.026536643505096436,
-0.02217695489525795,
0.12226196378469467,
-0.045232415199279785,
0.09139882773160934,
-0.03883543983101845,
0.030987784266471863,
-0.025049764662981033,
0.002252760110422969,
-0.10967753827571869,
-0.003306909929960966,
0.05371663719415665,
-0.04956886172294617,
0.032979659736156464,
-0.09105343371629715,
-0.016663681715726852,
0.042201507836580276,
-0.13235360383987427,
-0.0233507938683033,
-0.004711865913122892,
0.007030370645225048,
0.0334695465862751,
-0.09198563545942307,
0.05509643256664276,
-0.08626123517751694,
0.019201183691620827,
-0.06176508590579033,
-0.015580087900161743,
0.05627705901861191,
-0.04966659098863602,
0.029141366481781006,
0.04339287430047989,
-0.03872179612517357,
-0.04358760640025139,
-0.0028880746103823185,
-0.08940940350294113,
0.05446014180779457,
0.0037357097025960684,
-0.043141406029462814,
0.06435512006282806,
0.020223848521709442,
-0.020637445151805878,
0.08740535378456116,
-0.0015684980899095535,
-0.07801938056945801,
0.035052839666604996,
0.08021100610494614,
-0.03414437547326088,
-0.08170191943645477,
0.06671183556318283,
0.015614388510584831,
-0.004105027765035629,
0.04686214029788971,
-3.696006700693033e-8,
0.08752907812595367,
0.016465099528431892,
-0.002668459666892886,
0.00010269311314914376,
0.14239200949668884,
0.02201629802584648,
0.006967491004616022,
-0.08051180839538574,
-0.03560234233736992,
0.09796909987926483,
0.015152252279222012,
-0.029699157923460007,
0.0010672541102394462,
0.02280256152153015,
-0.011337690986692905,
0.05433660373091698,
0.012875027023255825,
-0.05130718648433685,
-0.0030264502856880426,
-0.000675643386784941,
0.022263988852500916,
0.030047493055462837,
0.08772218972444534,
-0.052825335413217545,
-0.034443169832229614,
0.030131297186017036,
0.0038853446021676064,
-0.017005259171128273,
0.00383903575129807,
0.0006211842992343009,
-0.03029683232307434,
-0.005651935003697872,
0.03915542736649513,
0.01249852403998375,
0.07010294497013092,
0.04866066202521324,
-0.04332408681511879,
0.01444508321583271,
0.0578041672706604,
0.09982886910438538,
-0.024678923189640045,
-0.007502381689846516,
0.01976161077618599,
0.04193226620554924,
-0.0580478198826313,
0.05785900726914406,
-0.05658335983753204,
0.028759807348251343,
-0.0025010681711137295,
0.06420768052339554,
0.05574784055352211,
-0.016734879463911057,
-0.052411988377571106,
-0.029367176815867424,
-0.018250716850161552,
0.011871667578816414,
-0.02737448178231716,
0.018654752522706985,
-0.04205461964011192,
-0.04454662278294563,
0.06018146872520447,
-0.09364371746778488,
-0.06399136781692505,
0.020833037793636322
] |
1401.1646 | Oliver Matula | Oliver Matula, Armen G. Hayrapetyan, Valeriy G. Serbo, Andrey
Surzhykov, Stephan Fritzsche | Radiative Capture of Twisted Electrons by Bare Ions | 5 pages, 3 figures | null | 10.1088/1367-2630/16/5/053024 | null | physics.atom-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent advances in the production of twisted electron beams with a
subnanometer spot size offer unique opportunities to explore the role of
orbital angular momentum (OAM) in basic atomic processes. In the present work,
we address one of these processes: radiative recombination of twisted electrons
with bare ions. Based on the density matrix formalism and the non-relativistic
Schr\"odinger theory, analytical expressions are derived for the angular
distribution and the linear polarization of photons emitted due to the capture
of twisted electrons into the ground state of (hydrogen-like) ions. We show
that these angular and polarization distributions are sensitive to both, the
transverse momentum and the topological charge of the electron beam. To observe
in particular the value of this charge, we propose an experiment that makes use
of the coherent superposition of two twisted beams.
| [
{
"created": "Wed, 8 Jan 2014 10:20:10 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Matula",
"Oliver",
""
],
[
"Hayrapetyan",
"Armen G.",
""
],
[
"Serbo",
"Valeriy G.",
""
],
[
"Surzhykov",
"Andrey",
""
],
[
"Fritzsche",
"Stephan",
""
]
] | [
-0.10568766295909882,
-0.01656503416597843,
-0.06799821555614471,
0.03482941538095474,
-0.04267109930515289,
-0.021693356335163116,
-0.003601997159421444,
-0.006365091539919376,
0.01691211573779583,
-0.011497191153466702,
0.11038639396429062,
-0.038686059415340424,
-0.016011307016015053,
-0.044563308358192444,
0.044516369700431824,
0.011578448116779327,
-0.019592225551605225,
0.03169788047671318,
-0.00393986189737916,
0.06546054780483246,
-0.035068854689598083,
-0.06304352730512619,
0.02531898021697998,
-0.046111613512039185,
0.10376953333616257,
0.08026307076215744,
0.13958847522735596,
-0.04238863289356232,
0.034526146948337555,
0.000020189087081234902,
0.130559504032135,
0.014353272505104542,
-0.11477752029895782,
0.054373446851968765,
0.02361387386918068,
-0.01712496019899845,
0.057699013501405716,
-0.08114156872034073,
-0.04104236885905266,
-0.0012207209365442395,
0.13576525449752808,
0.09590982645750046,
0.0036109730135649443,
-0.03519556671380997,
0.0170575138181448,
0.00265876785852015,
0.09227615594863892,
-0.08534658700227737,
-0.06814827769994736,
0.021395908668637276,
0.009276032447814941,
0.0516008697450161,
-0.052910033613443375,
-0.013499113731086254,
-0.001065415795892477,
0.012614566832780838,
0.05238078534603119,
0.01812414638698101,
-0.017725862562656403,
-0.011465579271316528,
0.053277961909770966,
-0.03462684899568558,
-0.032335057854652405,
0.03282085433602333,
0.01663019135594368,
-0.05796458199620247,
-0.00785256177186966,
0.029810253530740738,
-0.005928893573582172,
-0.002235027961432934,
-0.04331284388899803,
0.0438365675508976,
-0.008139334619045258,
-0.043269865214824677,
-0.022192275151610374,
-0.061949171125888824,
-0.003976908512413502,
-0.04790380969643593,
0.012801418080925941,
0.029928501695394516,
-0.04493074491620064,
-0.03630826249718666,
-0.030384771525859833,
0.06204052269458771,
0.017433643341064453,
0.023260323330760002,
-0.008659027516841888,
0.011360570788383484,
-0.0845734179019928,
-0.04062899947166443,
-0.009516737423837185,
-0.11091652512550354,
-0.025644205510616302,
-0.05770638957619667,
0.006199881434440613,
0.09564801305532455,
0.03946905583143234,
-0.038120780140161514,
-0.0352877601981163,
-0.022059742361307144,
0.06978848576545715,
0.07820360362529755,
-0.01624922826886177,
0.04497439041733742,
-0.09178797155618668,
0.0648232102394104,
0.02050715684890747,
0.07620172202587128,
-0.10048026591539383,
0.07717962563037872,
0.037016525864601135,
-0.003262896556407213,
0.0009287873981520534,
-0.07382643967866898,
-0.05266466364264488,
0.029757415875792503,
-0.07374465465545654,
0.0035491595044732094,
0.03429783135652542,
0.04422077536582947,
-0.054052192717790604,
0.04173782095313072,
0.03304759040474892,
0.07182788103818893,
0.038848865777254105,
-0.001250509638339281,
-0.05717073380947113,
1.3818807612774529e-33,
0.04960513487458229,
0.09506812691688538,
-0.012349768541753292,
0.019555697217583656,
-0.021475214511156082,
-0.029905667528510094,
0.00954661425203085,
-0.016380058601498604,
-0.007464752998203039,
0.01803462952375412,
0.06028873845934868,
0.015029622241854668,
0.0863889753818512,
-0.09524443000555038,
0.0726848691701889,
-0.01953696832060814,
0.00547083280980587,
0.014374660328030586,
0.03281210735440254,
0.08810430020093918,
-0.010107986629009247,
0.04081575945019722,
0.0054075405932962894,
-0.028964180499315262,
-0.06044657900929451,
-0.0002734507143031806,
0.07184718549251556,
0.011308710090816021,
-0.06821582466363907,
0.007743143476545811,
0.07541963458061218,
0.11371467262506485,
-0.046341441571712494,
0.07785709202289581,
0.02789486013352871,
-0.006939059589058161,
-0.11319567263126373,
-0.031843096017837524,
-0.013458042405545712,
-0.03248387202620506,
0.02344661019742489,
-0.039888180792331696,
-0.053204745054244995,
0.0551329031586647,
0.006733233109116554,
-0.01732708141207695,
-0.009057204239070415,
-0.0901506170630455,
0.09688065946102142,
0.026087893173098564,
0.033879783004522324,
-0.0035435049794614315,
0.014018728397786617,
0.016001833602786064,
0.09193422645330429,
-0.024205710738897324,
-0.022131750360131264,
0.022000351920723915,
0.014292588457465172,
-0.0015052559319883585,
-0.0231056846678257,
0.006167363375425339,
-0.007617492228746414,
0.00013851230323780328,
-0.10082967579364777,
-0.011689221486449242,
-0.05012410879135132,
-0.04044420272111893,
-0.013833792880177498,
0.0036143132019788027,
-0.05211030691862106,
0.07539277523756027,
0.02287803776562214,
0.015947161242365837,
0.009806179441511631,
0.05120760202407837,
0.014962386339902878,
0.04364591836929321,
0.05332718789577484,
-0.010352623648941517,
0.08964314311742783,
-0.059832021594047546,
0.04910261929035187,
0.002532642800360918,
0.0022821673192083836,
-0.0245281420648098,
-0.08905313909053802,
0.0018530929228290915,
-0.0558990016579628,
0.08640934526920319,
0.06122484803199768,
-0.03715614601969719,
-0.036381907761096954,
-0.047703925520181656,
-0.08977888524532318,
-2.9201338626249484e-33,
-0.08003567159175873,
0.043194353580474854,
-0.09878984093666077,
-0.004051662050187588,
-0.010128295980393887,
0.0017243564361706376,
-0.004826354328542948,
0.011586925946176052,
-0.06912213563919067,
-0.007966345176100731,
0.015929726883769035,
0.021108534187078476,
-0.023970598354935646,
-0.05040781944990158,
0.022018536925315857,
-0.03584339842200279,
0.07558207213878632,
0.053958114236593246,
0.09702812880277634,
-0.04584695026278496,
0.0946846455335617,
0.01478781271725893,
0.06665726751089096,
-0.04485370218753815,
0.0848383903503418,
0.0558314211666584,
0.0934123694896698,
-0.04487721994519234,
0.08292891085147858,
-0.009275960735976696,
0.04885968193411827,
0.01815866120159626,
-0.053909387439489365,
0.028576310724020004,
-0.08070720732212067,
0.04802851006388664,
-0.0404142290353775,
0.03128717094659805,
-0.01293037086725235,
-0.013997822999954224,
-0.0343107134103775,
-0.00175884657073766,
0.0385439395904541,
0.07044815272092819,
0.005218390841037035,
-0.03704800456762314,
-0.03382701799273491,
0.05857629328966141,
0.00744337122887373,
-0.06346431374549866,
-0.10989214479923248,
0.006951060611754656,
0.02452457882463932,
0.004419249948114157,
-0.05355129390954971,
0.005515669472515583,
0.043877266347408295,
0.003558892523869872,
0.08819015324115753,
0.011309280060231686,
-0.017019934952259064,
-0.004299750551581383,
0.038716450333595276,
-0.05470560863614082,
-0.02424447424709797,
-0.05717087164521217,
0.046767864376306534,
-0.07094018161296844,
-0.07890551537275314,
0.053368061780929565,
0.027489813044667244,
-0.015015601180493832,
-0.010935122147202492,
-0.040646083652973175,
0.012784993276000023,
0.008471679873764515,
0.0908338874578476,
-0.07278316468000412,
0.0217670276761055,
-0.03268862143158913,
0.0034107014071196318,
0.024644313380122185,
-0.03773000091314316,
-0.03802620992064476,
0.06797447800636292,
-0.021663010120391846,
-0.09628846496343613,
0.013031243346631527,
-0.005947373807430267,
-0.048385586589574814,
0.020481232553720474,
-0.03695482760667801,
0.01939004845917225,
-0.08654610812664032,
0.13375963270664215,
-4.6038831413852677e-8,
-0.00466005876660347,
-0.0906539261341095,
-0.02271728590130806,
0.040953975170850754,
0.06594977527856827,
0.03013983555138111,
-0.08655344694852829,
-0.06161430850625038,
0.028224395588040352,
-0.09378097206354141,
0.006941481959074736,
-0.033485908061265945,
-0.06334735453128815,
-0.03003428876399994,
0.05745423585176468,
0.012694804929196835,
-0.017684331163764,
-0.06606799364089966,
-0.0075085884891450405,
0.06565456837415695,
-0.007115392945706844,
-0.005914174485951662,
0.023268820717930794,
0.051423706114292145,
-0.04322460666298866,
0.03754785656929016,
0.02367524802684784,
0.0038946031127125025,
0.0024290052242577076,
-0.026688572019338608,
0.014341602101922035,
-0.03327461704611778,
0.06161276996135712,
0.052365902811288834,
-0.12547588348388672,
-0.03662746399641037,
-0.004669468849897385,
0.028523802757263184,
0.016507940366864204,
-0.026084115728735924,
-0.04904775694012642,
0.06175963953137398,
0.024593578651547432,
0.09774460643529892,
-0.007073290180414915,
0.1419842690229416,
-0.016336265951395035,
-0.039780210703611374,
-0.03864473104476929,
-0.02294652909040451,
-0.06019674241542816,
-0.014165867120027542,
0.014453144744038582,
-0.09525123983621597,
-0.119142547249794,
0.037049148231744766,
-0.009475680068135262,
-0.047046393156051636,
0.027888692915439606,
0.01930319145321846,
0.03442596271634102,
-0.02731446363031864,
-0.0943794772028923,
0.02800014801323414
] | null | null | null | null | null | null | null | [
-0.10568766295909882,
-0.01656503416597843,
-0.06799821555614471,
0.03482941538095474,
-0.04267109930515289,
-0.021693356335163116,
-0.003601997159421444,
-0.006365091539919376,
0.01691211573779583,
-0.011497191153466702,
0.11038639396429062,
-0.038686059415340424,
-0.016011307016015053,
-0.044563308358192444,
0.044516369700431824,
0.011578448116779327,
-0.019592225551605225,
0.03169788047671318,
-0.00393986189737916,
0.06546054780483246,
-0.035068854689598083,
-0.06304352730512619,
0.02531898021697998,
-0.046111613512039185,
0.10376953333616257,
0.08026307076215744,
0.13958847522735596,
-0.04238863289356232,
0.034526146948337555,
0.000020189087081234902,
0.130559504032135,
0.014353272505104542,
-0.11477752029895782,
0.054373446851968765,
0.02361387386918068,
-0.01712496019899845,
0.057699013501405716,
-0.08114156872034073,
-0.04104236885905266,
-0.0012207209365442395,
0.13576525449752808,
0.09590982645750046,
0.0036109730135649443,
-0.03519556671380997,
0.0170575138181448,
0.00265876785852015,
0.09227615594863892,
-0.08534658700227737,
-0.06814827769994736,
0.021395908668637276,
0.009276032447814941,
0.0516008697450161,
-0.052910033613443375,
-0.013499113731086254,
-0.001065415795892477,
0.012614566832780838,
0.05238078534603119,
0.01812414638698101,
-0.017725862562656403,
-0.011465579271316528,
0.053277961909770966,
-0.03462684899568558,
-0.032335057854652405,
0.03282085433602333,
0.01663019135594368,
-0.05796458199620247,
-0.00785256177186966,
0.029810253530740738,
-0.005928893573582172,
-0.002235027961432934,
-0.04331284388899803,
0.0438365675508976,
-0.008139334619045258,
-0.043269865214824677,
-0.022192275151610374,
-0.061949171125888824,
-0.003976908512413502,
-0.04790380969643593,
0.012801418080925941,
0.029928501695394516,
-0.04493074491620064,
-0.03630826249718666,
-0.030384771525859833,
0.06204052269458771,
0.017433643341064453,
0.023260323330760002,
-0.008659027516841888,
0.011360570788383484,
-0.0845734179019928,
-0.04062899947166443,
-0.009516737423837185,
-0.11091652512550354,
-0.025644205510616302,
-0.05770638957619667,
0.006199881434440613,
0.09564801305532455,
0.03946905583143234,
-0.038120780140161514,
-0.0352877601981163,
-0.022059742361307144,
0.06978848576545715,
0.07820360362529755,
-0.01624922826886177,
0.04497439041733742,
-0.09178797155618668,
0.0648232102394104,
0.02050715684890747,
0.07620172202587128,
-0.10048026591539383,
0.07717962563037872,
0.037016525864601135,
-0.003262896556407213,
0.0009287873981520534,
-0.07382643967866898,
-0.05266466364264488,
0.029757415875792503,
-0.07374465465545654,
0.0035491595044732094,
0.03429783135652542,
0.04422077536582947,
-0.054052192717790604,
0.04173782095313072,
0.03304759040474892,
0.07182788103818893,
0.038848865777254105,
-0.001250509638339281,
-0.05717073380947113,
1.3818807612774529e-33,
0.04960513487458229,
0.09506812691688538,
-0.012349768541753292,
0.019555697217583656,
-0.021475214511156082,
-0.029905667528510094,
0.00954661425203085,
-0.016380058601498604,
-0.007464752998203039,
0.01803462952375412,
0.06028873845934868,
0.015029622241854668,
0.0863889753818512,
-0.09524443000555038,
0.0726848691701889,
-0.01953696832060814,
0.00547083280980587,
0.014374660328030586,
0.03281210735440254,
0.08810430020093918,
-0.010107986629009247,
0.04081575945019722,
0.0054075405932962894,
-0.028964180499315262,
-0.06044657900929451,
-0.0002734507143031806,
0.07184718549251556,
0.011308710090816021,
-0.06821582466363907,
0.007743143476545811,
0.07541963458061218,
0.11371467262506485,
-0.046341441571712494,
0.07785709202289581,
0.02789486013352871,
-0.006939059589058161,
-0.11319567263126373,
-0.031843096017837524,
-0.013458042405545712,
-0.03248387202620506,
0.02344661019742489,
-0.039888180792331696,
-0.053204745054244995,
0.0551329031586647,
0.006733233109116554,
-0.01732708141207695,
-0.009057204239070415,
-0.0901506170630455,
0.09688065946102142,
0.026087893173098564,
0.033879783004522324,
-0.0035435049794614315,
0.014018728397786617,
0.016001833602786064,
0.09193422645330429,
-0.024205710738897324,
-0.022131750360131264,
0.022000351920723915,
0.014292588457465172,
-0.0015052559319883585,
-0.0231056846678257,
0.006167363375425339,
-0.007617492228746414,
0.00013851230323780328,
-0.10082967579364777,
-0.011689221486449242,
-0.05012410879135132,
-0.04044420272111893,
-0.013833792880177498,
0.0036143132019788027,
-0.05211030691862106,
0.07539277523756027,
0.02287803776562214,
0.015947161242365837,
0.009806179441511631,
0.05120760202407837,
0.014962386339902878,
0.04364591836929321,
0.05332718789577484,
-0.010352623648941517,
0.08964314311742783,
-0.059832021594047546,
0.04910261929035187,
0.002532642800360918,
0.0022821673192083836,
-0.0245281420648098,
-0.08905313909053802,
0.0018530929228290915,
-0.0558990016579628,
0.08640934526920319,
0.06122484803199768,
-0.03715614601969719,
-0.036381907761096954,
-0.047703925520181656,
-0.08977888524532318,
-2.9201338626249484e-33,
-0.08003567159175873,
0.043194353580474854,
-0.09878984093666077,
-0.004051662050187588,
-0.010128295980393887,
0.0017243564361706376,
-0.004826354328542948,
0.011586925946176052,
-0.06912213563919067,
-0.007966345176100731,
0.015929726883769035,
0.021108534187078476,
-0.023970598354935646,
-0.05040781944990158,
0.022018536925315857,
-0.03584339842200279,
0.07558207213878632,
0.053958114236593246,
0.09702812880277634,
-0.04584695026278496,
0.0946846455335617,
0.01478781271725893,
0.06665726751089096,
-0.04485370218753815,
0.0848383903503418,
0.0558314211666584,
0.0934123694896698,
-0.04487721994519234,
0.08292891085147858,
-0.009275960735976696,
0.04885968193411827,
0.01815866120159626,
-0.053909387439489365,
0.028576310724020004,
-0.08070720732212067,
0.04802851006388664,
-0.0404142290353775,
0.03128717094659805,
-0.01293037086725235,
-0.013997822999954224,
-0.0343107134103775,
-0.00175884657073766,
0.0385439395904541,
0.07044815272092819,
0.005218390841037035,
-0.03704800456762314,
-0.03382701799273491,
0.05857629328966141,
0.00744337122887373,
-0.06346431374549866,
-0.10989214479923248,
0.006951060611754656,
0.02452457882463932,
0.004419249948114157,
-0.05355129390954971,
0.005515669472515583,
0.043877266347408295,
0.003558892523869872,
0.08819015324115753,
0.011309280060231686,
-0.017019934952259064,
-0.004299750551581383,
0.038716450333595276,
-0.05470560863614082,
-0.02424447424709797,
-0.05717087164521217,
0.046767864376306534,
-0.07094018161296844,
-0.07890551537275314,
0.053368061780929565,
0.027489813044667244,
-0.015015601180493832,
-0.010935122147202492,
-0.040646083652973175,
0.012784993276000023,
0.008471679873764515,
0.0908338874578476,
-0.07278316468000412,
0.0217670276761055,
-0.03268862143158913,
0.0034107014071196318,
0.024644313380122185,
-0.03773000091314316,
-0.03802620992064476,
0.06797447800636292,
-0.021663010120391846,
-0.09628846496343613,
0.013031243346631527,
-0.005947373807430267,
-0.048385586589574814,
0.020481232553720474,
-0.03695482760667801,
0.01939004845917225,
-0.08654610812664032,
0.13375963270664215,
-4.6038831413852677e-8,
-0.00466005876660347,
-0.0906539261341095,
-0.02271728590130806,
0.040953975170850754,
0.06594977527856827,
0.03013983555138111,
-0.08655344694852829,
-0.06161430850625038,
0.028224395588040352,
-0.09378097206354141,
0.006941481959074736,
-0.033485908061265945,
-0.06334735453128815,
-0.03003428876399994,
0.05745423585176468,
0.012694804929196835,
-0.017684331163764,
-0.06606799364089966,
-0.0075085884891450405,
0.06565456837415695,
-0.007115392945706844,
-0.005914174485951662,
0.023268820717930794,
0.051423706114292145,
-0.04322460666298866,
0.03754785656929016,
0.02367524802684784,
0.0038946031127125025,
0.0024290052242577076,
-0.026688572019338608,
0.014341602101922035,
-0.03327461704611778,
0.06161276996135712,
0.052365902811288834,
-0.12547588348388672,
-0.03662746399641037,
-0.004669468849897385,
0.028523802757263184,
0.016507940366864204,
-0.026084115728735924,
-0.04904775694012642,
0.06175963953137398,
0.024593578651547432,
0.09774460643529892,
-0.007073290180414915,
0.1419842690229416,
-0.016336265951395035,
-0.039780210703611374,
-0.03864473104476929,
-0.02294652909040451,
-0.06019674241542816,
-0.014165867120027542,
0.014453144744038582,
-0.09525123983621597,
-0.119142547249794,
0.037049148231744766,
-0.009475680068135262,
-0.047046393156051636,
0.027888692915439606,
0.01930319145321846,
0.03442596271634102,
-0.02731446363031864,
-0.0943794772028923,
0.02800014801323414
] |
1401.1655 | Titus Sandu | Titus Sandu, George Boldeiu, and Victor Moagar-Poladian | Applications of electrostatic capacitance and charging | 7 pages, 7 figures. arXiv admin note: text overlap with
arXiv:1304.6624 | Journal of Applied Physics 114, 224904 (2013) | 10.1063/1.4847495 | null | cond-mat.mes-hall physics.bio-ph physics.chem-ph physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The capacitance of an arbitrarily shaped object is calculated with the same
second-kind integral equation method used for computing static and dynamic
polarizabilities. The capacitance is simply the dielectric permittivity
multiplied by the area of the object and divided by the squared norm of the
Neumann-Poincar\'{e} operator eigenfunction corresponding to the largest
eigenvalue. The norm of this eigenfunction varies slowly with shape thus
enabling the definition of two scale-invariant shape factors and perturbative
calculations of capacitance. The result is extended to a special class of
capacitors in which the electrodes are the equipotential surfaces generated by
the equilibrium charge on the object. This extention allows analytical
expressions of capacitance for confocal spheroidal capacitors and finite
cylinders. Moreover, a second order formula for thin constant-thickness
capacitors is given with direct applications for capacitance of membranes in
living cells and of supercapacitors. For axisymmetric geometries a fast and
accurate numerical method is provided.
| [
{
"created": "Wed, 8 Jan 2014 10:59:34 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Sandu",
"Titus",
""
],
[
"Boldeiu",
"George",
""
],
[
"Moagar-Poladian",
"Victor",
""
]
] | [
0.006344513036310673,
0.03279481828212738,
-0.0529843270778656,
-0.035801488906145096,
0.042333245277404785,
-0.045176394283771515,
0.08742145448923111,
0.10306572169065475,
-0.012193949893116951,
-0.011638781055808067,
0.04206624627113342,
-0.08625391125679016,
0.015045738779008389,
0.11354861408472061,
-0.0454050675034523,
-0.132987841963768,
-0.07755040377378464,
0.011699364520609379,
-0.026819664984941483,
0.08172488957643509,
0.08588390797376633,
0.011343107558786869,
-0.0112767294049263,
-0.05847399681806564,
-0.022343888878822327,
-0.0018709050491452217,
0.04176975414156914,
-0.03663935884833336,
-0.0006299390224739909,
-0.013105790130794048,
-0.07829196751117706,
-0.06729309260845184,
-0.07696861028671265,
-0.05054253339767456,
-0.08551939576864243,
0.00013015783042646945,
0.039191581308841705,
0.01579698547720909,
0.09047241508960724,
0.022130602970719337,
0.04176031053066254,
0.07077275961637497,
0.06866785883903503,
0.0160734411329031,
0.08549080789089203,
-0.05451025441288948,
0.04220796003937721,
-0.05191154032945633,
-0.026225024834275246,
-0.09092336148023605,
0.03127313032746315,
-0.06745383888483047,
0.042141079902648926,
-0.06402450799942017,
0.005401010625064373,
0.007675143890082836,
0.003724008798599243,
0.0024409627076238394,
0.0038546635769307613,
0.015414333902299404,
-0.041988521814346313,
-0.08882761001586914,
0.07711169123649597,
-0.04187486693263054,
-0.006319222040474415,
-0.06009240448474884,
0.04072447121143341,
-0.05283472687005997,
-0.036889251321554184,
0.05084134265780449,
-0.10109135508537292,
0.004521292634308338,
-0.015899961814284325,
-0.08075369894504547,
0.028915712609887123,
0.07752162963151932,
-0.10357861965894699,
0.11996574699878693,
-0.050857458263635635,
0.04000164568424225,
-0.03770400956273079,
-0.05875924974679947,
-0.06766925007104874,
-0.012416688725352287,
-0.025202279910445213,
0.024049457162618637,
-0.00696156732738018,
-0.07503694295883179,
-0.003950036596506834,
0.01701788790524006,
0.022627033293247223,
0.090139240026474,
-0.10998711735010147,
-0.044469986110925674,
-0.037882477045059204,
-0.04948202148079872,
0.06382717192173004,
0.060069385915994644,
0.040909748524427414,
0.04380965605378151,
-0.02423122338950634,
-0.04676094651222229,
-0.03114033117890358,
0.03965742141008377,
0.09740247577428818,
0.015174626372754574,
0.020791249349713326,
-0.05199205130338669,
0.0199491735547781,
0.023930614814162254,
0.04347793385386467,
-0.01122754905372858,
-0.11468178778886795,
0.06385456025600433,
0.054371677339076996,
-0.020627260208129883,
-0.02306300587952137,
-0.03190145641565323,
0.0974365770816803,
-0.02998676709830761,
-0.0386100672185421,
0.03504148870706558,
-0.052224691957235336,
-0.018944544717669487,
0.010683577507734299,
0.11631011962890625,
-0.023653067648410797,
6.034896161625466e-33,
-0.03459329903125763,
0.043587155640125275,
0.04824119806289673,
0.030033240094780922,
-0.056856509298086166,
-0.034874916076660156,
0.038152195513248444,
0.09316665679216385,
0.06476102024316788,
0.0492401123046875,
-0.08613742887973785,
0.07981064170598984,
0.020367098972201347,
-0.021412283182144165,
0.04250218719244003,
-0.01569143868982792,
-0.0038478607311844826,
-0.02904234640300274,
-0.020387083292007446,
-0.007900874130427837,
0.05305652692914009,
-0.0251251719892025,
0.02136986516416073,
0.07403001189231873,
0.032825082540512085,
-0.024752745404839516,
-0.01907922886312008,
-0.024721018970012665,
0.005480416584759951,
0.009722158312797546,
0.02968992292881012,
0.029624542221426964,
0.007680810522288084,
0.009932986460626125,
-0.015541360713541508,
-0.0036099848803132772,
-0.035992976278066635,
0.039486125111579895,
0.028443697839975357,
-0.05520310252904892,
0.06292404979467392,
-0.017641520127654076,
0.05568770319223404,
0.0544356107711792,
-0.07352369278669357,
-0.03139263764023781,
-0.0005329879932105541,
-0.015292774885892868,
0.11446943879127502,
-0.02831115573644638,
-0.06727132201194763,
-0.01149929128587246,
0.007634860463440418,
-0.00942911859601736,
0.07461842894554138,
0.024673644453287125,
-0.013777092099189758,
0.04390328377485275,
0.03548932075500488,
0.006368082482367754,
-0.03295038640499115,
-0.021287797018885612,
-0.008665607310831547,
-0.012396550737321377,
0.04459991678595543,
0.05271705240011215,
-0.06115850806236267,
-0.013189523480832577,
-0.03446625545620918,
-0.08746281266212463,
0.09324164688587189,
0.004539413843303919,
-0.05586327984929085,
-0.014127269387245178,
-0.041117534041404724,
0.0283626988530159,
-0.036312345415353775,
-0.0031818575225770473,
0.039929043501615524,
-0.050358619540929794,
-0.0179639533162117,
0.06510397791862488,
-0.035099927335977554,
-0.06004079058766365,
-0.05743533745408058,
-0.030728446319699287,
0.0760243684053421,
0.03621530160307884,
0.01011240016669035,
-0.048932034522295,
-0.02020149491727352,
0.01702880673110485,
0.027936743572354317,
-0.1282990574836731,
-0.08544351160526276,
-7.029986659743088e-33,
0.05010073259472847,
-0.04166586697101593,
-0.03679022192955017,
-0.039609652012586594,
0.03261364996433258,
-0.027404239401221275,
-0.008583525195717812,
0.02500198408961296,
-0.047303859144449234,
-0.08886782079935074,
0.0038467091508209705,
0.03195267543196678,
0.06056253984570503,
0.04417862370610237,
-0.02342253178358078,
0.028935212641954422,
-0.15705031156539917,
-0.07751043140888214,
-0.00568312406539917,
-0.041326697915792465,
-0.0031551492866128683,
-0.030717449262738228,
0.05810564383864403,
0.030630523338913918,
0.0246968325227499,
-0.015247223898768425,
-0.05029654502868652,
-0.04319150745868683,
-0.020638976246118546,
0.04029950872063637,
-0.09593755751848221,
0.06744994223117828,
0.03469802066683769,
0.11356127262115479,
0.0023941833060234785,
-0.04832552745938301,
-0.009133746847510338,
-0.053129710257053375,
0.12152322381734848,
0.014395954087376595,
-0.038498952984809875,
-0.013298419304192066,
0.06354367733001709,
0.0022286686580628157,
-0.019099168479442596,
-0.011630166321992874,
0.011815134435892105,
-0.019455527886748314,
-0.042806435376405716,
-0.009892581030726433,
-0.049352746456861496,
0.0146776232868433,
0.003232798306271434,
0.006623405031859875,
-0.024259213358163834,
0.0570562370121479,
-0.04804633930325508,
-0.022458458319306374,
0.1001037061214447,
-0.06833907961845398,
0.03777603432536125,
-0.041135650128126144,
-0.005639476235955954,
-0.0008055864018388093,
-0.0706130713224411,
-0.03430599719285965,
-0.0075353956781327724,
-0.10133840888738632,
-0.005770779214799404,
0.02952537313103676,
0.04562913998961449,
0.028359783813357353,
0.029777852818369865,
-0.0431583970785141,
-0.10413379967212677,
-0.03915167972445488,
0.08576671034097672,
-0.0026115747168660164,
-0.022592997178435326,
-0.010527431964874268,
0.056865520775318146,
0.06433922797441483,
-0.012899058870971203,
0.0003130138502456248,
-0.004930754192173481,
-0.058849629014730453,
0.019603155553340912,
-0.007836746983230114,
-0.013834616169333458,
0.06221538782119751,
0.03918130695819855,
0.021284589543938637,
-0.03216060996055603,
0.09265602380037308,
0.08170302212238312,
-5.483439124986944e-8,
0.03358125686645508,
-0.0007433589198626578,
-0.00738837756216526,
-0.011795258149504662,
-0.0029094128403812647,
0.06498261541128159,
-0.07683233916759491,
-0.08459684997797012,
0.006906865164637566,
-0.08569447696208954,
-0.001514181843958795,
-0.0523453988134861,
-0.008898600935935974,
-0.031179601326584816,
-0.021682139486074448,
0.09086085110902786,
0.017141351476311684,
0.06363588571548462,
0.03389178216457367,
0.02193647250533104,
-0.058826953172683716,
-0.016838999465107918,
-0.03701037913560867,
-0.04812629148364067,
0.038971032947301865,
-0.0040099602192640305,
-0.10429981350898743,
0.03483369201421738,
0.025880249217152596,
-0.0031387843191623688,
-0.024613790214061737,
-0.016310296952724457,
0.022353164851665497,
0.061577923595905304,
0.09914457052946091,
-0.0022631497122347355,
-0.028907930478453636,
0.011112222447991371,
-0.045030377805233,
0.10296078771352768,
0.08843562006950378,
0.014313158579170704,
0.009174603037536144,
0.005334855988621712,
0.05304067209362984,
0.06679821759462357,
0.055290885269641876,
0.08501908928155899,
0.014473894611001015,
0.09156940132379532,
-0.10260739177465439,
0.01175012905150652,
-0.04355388879776001,
0.0523446761071682,
-0.07404004037380219,
0.06300719827413559,
-0.04357590898871422,
0.06785944849252701,
-0.05347423627972603,
-0.014543166384100914,
0.0022816418204456568,
0.09669297188520432,
-0.007015924900770187,
-0.021081002429127693
] | null | null | null | null | null | null | null | [
0.006344513036310673,
0.03279481828212738,
-0.0529843270778656,
-0.035801488906145096,
0.042333245277404785,
-0.045176394283771515,
0.08742145448923111,
0.10306572169065475,
-0.012193949893116951,
-0.011638781055808067,
0.04206624627113342,
-0.08625391125679016,
0.015045738779008389,
0.11354861408472061,
-0.0454050675034523,
-0.132987841963768,
-0.07755040377378464,
0.011699364520609379,
-0.026819664984941483,
0.08172488957643509,
0.08588390797376633,
0.011343107558786869,
-0.0112767294049263,
-0.05847399681806564,
-0.022343888878822327,
-0.0018709050491452217,
0.04176975414156914,
-0.03663935884833336,
-0.0006299390224739909,
-0.013105790130794048,
-0.07829196751117706,
-0.06729309260845184,
-0.07696861028671265,
-0.05054253339767456,
-0.08551939576864243,
0.00013015783042646945,
0.039191581308841705,
0.01579698547720909,
0.09047241508960724,
0.022130602970719337,
0.04176031053066254,
0.07077275961637497,
0.06866785883903503,
0.0160734411329031,
0.08549080789089203,
-0.05451025441288948,
0.04220796003937721,
-0.05191154032945633,
-0.026225024834275246,
-0.09092336148023605,
0.03127313032746315,
-0.06745383888483047,
0.042141079902648926,
-0.06402450799942017,
0.005401010625064373,
0.007675143890082836,
0.003724008798599243,
0.0024409627076238394,
0.0038546635769307613,
0.015414333902299404,
-0.041988521814346313,
-0.08882761001586914,
0.07711169123649597,
-0.04187486693263054,
-0.006319222040474415,
-0.06009240448474884,
0.04072447121143341,
-0.05283472687005997,
-0.036889251321554184,
0.05084134265780449,
-0.10109135508537292,
0.004521292634308338,
-0.015899961814284325,
-0.08075369894504547,
0.028915712609887123,
0.07752162963151932,
-0.10357861965894699,
0.11996574699878693,
-0.050857458263635635,
0.04000164568424225,
-0.03770400956273079,
-0.05875924974679947,
-0.06766925007104874,
-0.012416688725352287,
-0.025202279910445213,
0.024049457162618637,
-0.00696156732738018,
-0.07503694295883179,
-0.003950036596506834,
0.01701788790524006,
0.022627033293247223,
0.090139240026474,
-0.10998711735010147,
-0.044469986110925674,
-0.037882477045059204,
-0.04948202148079872,
0.06382717192173004,
0.060069385915994644,
0.040909748524427414,
0.04380965605378151,
-0.02423122338950634,
-0.04676094651222229,
-0.03114033117890358,
0.03965742141008377,
0.09740247577428818,
0.015174626372754574,
0.020791249349713326,
-0.05199205130338669,
0.0199491735547781,
0.023930614814162254,
0.04347793385386467,
-0.01122754905372858,
-0.11468178778886795,
0.06385456025600433,
0.054371677339076996,
-0.020627260208129883,
-0.02306300587952137,
-0.03190145641565323,
0.0974365770816803,
-0.02998676709830761,
-0.0386100672185421,
0.03504148870706558,
-0.052224691957235336,
-0.018944544717669487,
0.010683577507734299,
0.11631011962890625,
-0.023653067648410797,
6.034896161625466e-33,
-0.03459329903125763,
0.043587155640125275,
0.04824119806289673,
0.030033240094780922,
-0.056856509298086166,
-0.034874916076660156,
0.038152195513248444,
0.09316665679216385,
0.06476102024316788,
0.0492401123046875,
-0.08613742887973785,
0.07981064170598984,
0.020367098972201347,
-0.021412283182144165,
0.04250218719244003,
-0.01569143868982792,
-0.0038478607311844826,
-0.02904234640300274,
-0.020387083292007446,
-0.007900874130427837,
0.05305652692914009,
-0.0251251719892025,
0.02136986516416073,
0.07403001189231873,
0.032825082540512085,
-0.024752745404839516,
-0.01907922886312008,
-0.024721018970012665,
0.005480416584759951,
0.009722158312797546,
0.02968992292881012,
0.029624542221426964,
0.007680810522288084,
0.009932986460626125,
-0.015541360713541508,
-0.0036099848803132772,
-0.035992976278066635,
0.039486125111579895,
0.028443697839975357,
-0.05520310252904892,
0.06292404979467392,
-0.017641520127654076,
0.05568770319223404,
0.0544356107711792,
-0.07352369278669357,
-0.03139263764023781,
-0.0005329879932105541,
-0.015292774885892868,
0.11446943879127502,
-0.02831115573644638,
-0.06727132201194763,
-0.01149929128587246,
0.007634860463440418,
-0.00942911859601736,
0.07461842894554138,
0.024673644453287125,
-0.013777092099189758,
0.04390328377485275,
0.03548932075500488,
0.006368082482367754,
-0.03295038640499115,
-0.021287797018885612,
-0.008665607310831547,
-0.012396550737321377,
0.04459991678595543,
0.05271705240011215,
-0.06115850806236267,
-0.013189523480832577,
-0.03446625545620918,
-0.08746281266212463,
0.09324164688587189,
0.004539413843303919,
-0.05586327984929085,
-0.014127269387245178,
-0.041117534041404724,
0.0283626988530159,
-0.036312345415353775,
-0.0031818575225770473,
0.039929043501615524,
-0.050358619540929794,
-0.0179639533162117,
0.06510397791862488,
-0.035099927335977554,
-0.06004079058766365,
-0.05743533745408058,
-0.030728446319699287,
0.0760243684053421,
0.03621530160307884,
0.01011240016669035,
-0.048932034522295,
-0.02020149491727352,
0.01702880673110485,
0.027936743572354317,
-0.1282990574836731,
-0.08544351160526276,
-7.029986659743088e-33,
0.05010073259472847,
-0.04166586697101593,
-0.03679022192955017,
-0.039609652012586594,
0.03261364996433258,
-0.027404239401221275,
-0.008583525195717812,
0.02500198408961296,
-0.047303859144449234,
-0.08886782079935074,
0.0038467091508209705,
0.03195267543196678,
0.06056253984570503,
0.04417862370610237,
-0.02342253178358078,
0.028935212641954422,
-0.15705031156539917,
-0.07751043140888214,
-0.00568312406539917,
-0.041326697915792465,
-0.0031551492866128683,
-0.030717449262738228,
0.05810564383864403,
0.030630523338913918,
0.0246968325227499,
-0.015247223898768425,
-0.05029654502868652,
-0.04319150745868683,
-0.020638976246118546,
0.04029950872063637,
-0.09593755751848221,
0.06744994223117828,
0.03469802066683769,
0.11356127262115479,
0.0023941833060234785,
-0.04832552745938301,
-0.009133746847510338,
-0.053129710257053375,
0.12152322381734848,
0.014395954087376595,
-0.038498952984809875,
-0.013298419304192066,
0.06354367733001709,
0.0022286686580628157,
-0.019099168479442596,
-0.011630166321992874,
0.011815134435892105,
-0.019455527886748314,
-0.042806435376405716,
-0.009892581030726433,
-0.049352746456861496,
0.0146776232868433,
0.003232798306271434,
0.006623405031859875,
-0.024259213358163834,
0.0570562370121479,
-0.04804633930325508,
-0.022458458319306374,
0.1001037061214447,
-0.06833907961845398,
0.03777603432536125,
-0.041135650128126144,
-0.005639476235955954,
-0.0008055864018388093,
-0.0706130713224411,
-0.03430599719285965,
-0.0075353956781327724,
-0.10133840888738632,
-0.005770779214799404,
0.02952537313103676,
0.04562913998961449,
0.028359783813357353,
0.029777852818369865,
-0.0431583970785141,
-0.10413379967212677,
-0.03915167972445488,
0.08576671034097672,
-0.0026115747168660164,
-0.022592997178435326,
-0.010527431964874268,
0.056865520775318146,
0.06433922797441483,
-0.012899058870971203,
0.0003130138502456248,
-0.004930754192173481,
-0.058849629014730453,
0.019603155553340912,
-0.007836746983230114,
-0.013834616169333458,
0.06221538782119751,
0.03918130695819855,
0.021284589543938637,
-0.03216060996055603,
0.09265602380037308,
0.08170302212238312,
-5.483439124986944e-8,
0.03358125686645508,
-0.0007433589198626578,
-0.00738837756216526,
-0.011795258149504662,
-0.0029094128403812647,
0.06498261541128159,
-0.07683233916759491,
-0.08459684997797012,
0.006906865164637566,
-0.08569447696208954,
-0.001514181843958795,
-0.0523453988134861,
-0.008898600935935974,
-0.031179601326584816,
-0.021682139486074448,
0.09086085110902786,
0.017141351476311684,
0.06363588571548462,
0.03389178216457367,
0.02193647250533104,
-0.058826953172683716,
-0.016838999465107918,
-0.03701037913560867,
-0.04812629148364067,
0.038971032947301865,
-0.0040099602192640305,
-0.10429981350898743,
0.03483369201421738,
0.025880249217152596,
-0.0031387843191623688,
-0.024613790214061737,
-0.016310296952724457,
0.022353164851665497,
0.061577923595905304,
0.09914457052946091,
-0.0022631497122347355,
-0.028907930478453636,
0.011112222447991371,
-0.045030377805233,
0.10296078771352768,
0.08843562006950378,
0.014313158579170704,
0.009174603037536144,
0.005334855988621712,
0.05304067209362984,
0.06679821759462357,
0.055290885269641876,
0.08501908928155899,
0.014473894611001015,
0.09156940132379532,
-0.10260739177465439,
0.01175012905150652,
-0.04355388879776001,
0.0523446761071682,
-0.07404004037380219,
0.06300719827413559,
-0.04357590898871422,
0.06785944849252701,
-0.05347423627972603,
-0.014543166384100914,
0.0022816418204456568,
0.09669297188520432,
-0.007015924900770187,
-0.021081002429127693
] |
1401.1659 | Mark Zentile | Mark A Zentile, Rebecca Andrews, Lee Weller, Svenja Knappe, Charles S
Adams and Ifan G Hughes | The hyperfine Paschen-Back Faraday effect | 8 pages, 4 figures | J. Phys. B: At. Mol. Opt. Phys. 47, 075005 (2014) | 10.1088/0953-4075/47/7/075005 | null | physics.atom-ph physics.optics quant-ph | http://creativecommons.org/licenses/by/3.0/ | We investigate experimentally and theoretically the Faraday effect in an
atomic medium in the hyperfine Paschen-Back regime, where the Zeeman
interaction is larger than the hyperfine splitting. We use a small permanent
magnet and a micro-fabricated vapour cell, giving magnetic fields of the order
of a Tesla. We show that for low absorption and small rotation angles, the
refractive index is well approximated by the Faraday rotation signal, giving a
simple way to measure the atomic refractive index. Fitting to the atomic
spectra, we achieve magnetic field sensitivity at the $10^{-4}$ level. Finally
we note that the Faraday signal shows zero crossings which can be used as
temperature insensitive error signals for laser frequency stabilisation at
large detuning. The theoretical sensitivity for $^{87}$Rb is found to be $\sim
40$ kHz/$^\circ$C.
| [
{
"created": "Wed, 8 Jan 2014 11:08:02 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Mar 2014 10:23:03 GMT",
"version": "v2"
}
] | 2014-03-27 | [
[
"Zentile",
"Mark A",
""
],
[
"Andrews",
"Rebecca",
""
],
[
"Weller",
"Lee",
""
],
[
"Knappe",
"Svenja",
""
],
[
"Adams",
"Charles S",
""
],
[
"Hughes",
"Ifan G",
""
]
] | [
-0.021169841289520264,
0.010294323787093163,
-0.04655489698052406,
0.030264824628829956,
-0.046035803854465485,
-0.0012196906609460711,
0.012127002701163292,
-0.0260322242975235,
-0.07448400557041168,
-0.028666440397500992,
0.07516469061374664,
-0.0094345323741436,
-0.008364878594875336,
-0.07705917209386826,
0.05350317806005478,
0.007940651848912239,
0.02649453841149807,
0.08047518879175186,
-0.009749959222972393,
0.09984715282917023,
-0.02096441015601158,
-0.07160288095474243,
0.05544836446642876,
-0.06999652832746506,
-0.03924805670976639,
0.005041660740971565,
0.036104317754507065,
-0.05653158947825432,
-0.04074482619762421,
-0.005895539652556181,
0.05702267587184906,
-0.011059689335525036,
-0.13297560811042786,
0.08335849642753601,
0.0031635414343327284,
-0.08522538095712662,
0.023506704717874527,
-0.0281419325619936,
-0.03309469297528267,
-0.004680135753005743,
0.04905585199594498,
0.006875228136777878,
0.04352346807718277,
0.0386321060359478,
-0.0037797116674482822,
-0.01959005370736122,
0.0940297544002533,
-0.06724439561367035,
-0.09288671612739563,
-0.0659138634800911,
0.013102748431265354,
0.12079811841249466,
-0.004266566596925259,
-0.02349803037941456,
-0.016523482277989388,
0.056410305202007294,
0.00843121949583292,
-0.004156311508268118,
-0.05545499920845032,
0.004376084543764591,
0.037170372903347015,
-0.0041242740117013454,
-0.07389301061630249,
-0.0886998325586319,
0.041340965777635574,
-0.028716258704662323,
-0.010646083392202854,
-0.05508808791637421,
0.023242535069584846,
-0.01957668550312519,
0.021806254982948303,
-0.016888102516531944,
-0.08024410903453827,
0.04378397390246391,
-0.02234393171966076,
-0.022399108856916428,
-0.009188677184283733,
0.06103356555104256,
-0.017967697232961655,
0.010521198622882366,
-0.016529781743884087,
-0.09151281416416168,
-0.009606420062482357,
0.008191601373255253,
0.007928849197924137,
-0.017703641206026077,
0.026939036324620247,
-0.002466963604092598,
-0.0017284333007410169,
-0.04772431030869484,
0.056567296385765076,
-0.006028563249856234,
-0.07512795180082321,
-0.04108838364481926,
0.0016027470119297504,
0.030470816418528557,
0.09226930886507034,
-0.01242926623672247,
0.012068893760442734,
0.0031392620876431465,
0.15022222697734833,
-0.039301298558712006,
-0.07709994167089462,
0.06859072297811508,
-0.06760696321725845,
0.018279392272233963,
0.07345480471849442,
0.030049003660678864,
-0.15067073702812195,
-0.01148777361959219,
0.05988282710313797,
0.011205066926777363,
-0.024566199630498886,
-0.05541585758328438,
0.09224149584770203,
-0.0016920211492106318,
0.03606642037630081,
0.06291966885328293,
0.03253322094678879,
0.09087849408388138,
-0.057138893753290176,
0.12171920388936996,
0.026885127648711205,
0.10589123517274857,
0.06607035547494888,
0.05958470329642296,
0.014626267366111279,
-1.6422369241012208e-35,
-0.00356214283965528,
0.114417165517807,
-0.03680802509188652,
-0.037691980600357056,
0.005037723574787378,
-0.04235149547457695,
0.021137656643986702,
-0.03402388095855713,
-0.05561016499996185,
0.03796910122036934,
0.04596899822354317,
0.06949936598539352,
-0.006984898820519447,
-0.05599050596356392,
0.0070542097091674805,
-0.03268757462501526,
0.047536611557006836,
-0.01010742038488388,
0.016153529286384583,
-0.02247866988182068,
0.024483732879161835,
0.04766732081770897,
0.03688811510801315,
0.034729816019535065,
-0.054867684841156006,
0.028687385842204094,
0.0600445531308651,
0.012999971397221088,
0.032094694674015045,
0.01735106110572815,
0.034825682640075684,
0.08511117100715637,
-0.009442371316254139,
-0.07158660888671875,
0.09713146090507507,
0.027875350788235664,
-0.054158683866262436,
0.06761369109153748,
0.0018125706119462848,
-0.04841833934187889,
-0.00815771333873272,
0.009698556736111641,
0.020044269040226936,
0.05098617821931839,
0.07163079082965851,
-0.07125880569219589,
-0.05543336644768715,
0.04610456898808479,
0.04992574825882912,
-0.02361820451915264,
-0.003548674751073122,
-0.10846085101366043,
-0.04554564133286476,
0.03692510724067688,
0.05804247036576271,
-0.020078254863619804,
0.04950361326336861,
0.05231040343642235,
-0.07467907667160034,
-0.03600442409515381,
0.0372784323990345,
0.001527226995676756,
0.011787492781877518,
0.04565437510609627,
-0.11603081971406937,
0.018927939236164093,
-0.017793230712413788,
-0.0037577340845018625,
-0.026429660618305206,
0.04913738742470741,
-0.03626394271850586,
0.06838969141244888,
0.04276862367987633,
-0.05239339545369148,
0.06554683297872543,
0.0027877315878868103,
-0.009985767304897308,
0.008075139485299587,
0.037312332540750504,
-0.007577687036246061,
-0.04978306218981743,
0.005868844222277403,
0.025381719693541527,
-0.011913051828742027,
-0.026217065751552582,
-0.04936639592051506,
-0.11580867320299149,
-0.0019358252175152302,
-0.05509166046977043,
-0.0154640544205904,
0.07075121998786926,
0.01883583329617977,
0.05407334119081497,
-0.09451159834861755,
-0.09243390709161758,
-2.825422078727289e-33,
0.0013022508937865496,
-0.06075476109981537,
0.054920077323913574,
0.044696006923913956,
0.018178636208176613,
0.048628441989421844,
0.0053976732306182384,
0.10573910176753998,
-0.04312211275100708,
0.034689582884311676,
0.07666181027889252,
-0.029911968857049942,
-0.03835298866033554,
-0.02584075927734375,
-0.0313878171145916,
-0.02211528830230236,
-0.040074363350868225,
0.05475516617298126,
0.130706325173378,
0.03873470425605774,
-0.014936442486941814,
-0.0250968337059021,
0.08030705899000168,
0.12042560428380966,
0.004662820138037205,
-0.04406679421663284,
0.04371992498636246,
-0.01643180102109909,
-0.030942808836698532,
-0.07630351185798645,
0.024042606353759766,
-0.02028791792690754,
0.050560664385557175,
-0.002750410232692957,
0.0038299676962196827,
-0.024650894105434418,
-0.04395279288291931,
-0.01078364159911871,
-0.08791391551494598,
0.03569405898451805,
-0.016657570376992226,
-0.010973895899951458,
-0.022922320291399956,
-0.05940461903810501,
-0.0014699806924909353,
0.03754616156220436,
-0.09005220979452133,
-0.04368462786078453,
-0.014298396185040474,
-0.03501085191965103,
-0.011568295769393444,
-0.061435211449861526,
0.030166951939463615,
0.0023821676149964333,
-0.016965821385383606,
0.009313172660768032,
0.027257846668362617,
0.04015279933810234,
0.07981181144714355,
0.1233009621500969,
-0.029202982783317566,
-0.022159021347761154,
0.01854197308421135,
-0.040093496441841125,
0.025056079030036926,
-0.0321597121655941,
0.0476067028939724,
-0.003926186356693506,
0.02734529972076416,
-0.05464370176196098,
0.0832236111164093,
0.021252110600471497,
0.014323307201266289,
-0.04295171797275543,
0.00996402371674776,
0.04806646332144737,
0.04395367205142975,
-0.08098669350147247,
-0.022974565625190735,
0.047129783779382706,
0.039883457124233246,
0.05198651924729347,
-0.034696731716394424,
-0.0430217869579792,
-0.013998574577271938,
-0.040510907769203186,
-0.005522637628018856,
-0.012712000869214535,
-0.10457451641559601,
0.0181849654763937,
0.03334071487188339,
-0.045776963233947754,
0.07308494299650192,
-0.1138417199254036,
0.0007346435450017452,
-5.123833801690125e-8,
0.03467477485537529,
0.07317428290843964,
-0.045552026480436325,
0.016126053407788277,
-0.021671423688530922,
-0.003919550683349371,
-0.02404705248773098,
-0.024057649075984955,
-0.02815529890358448,
-0.06750532984733582,
0.03494548052549362,
0.012342436239123344,
-0.0037599881179630756,
0.059679415076971054,
0.09180998057126999,
0.003089331788942218,
-0.022133097052574158,
-0.04880901053547859,
-0.0007524728425778449,
0.03834141790866852,
0.028988659381866455,
0.059191811829805374,
0.029192456975579262,
-0.05130106955766678,
0.0006617726176045835,
0.07450291514396667,
-0.044322118163108826,
0.07294470816850662,
0.04797980189323425,
-0.046079523861408234,
0.026129433885216713,
-0.10287068784236908,
0.06753528863191605,
0.10382125526666641,
-0.1591193974018097,
-0.015984321013092995,
-0.03630203381180763,
-0.035030510276556015,
0.016913386061787605,
0.0033384019043296576,
-0.007791753858327866,
0.024873847141861916,
-0.06592053174972534,
0.008362099528312683,
-0.037178151309490204,
0.0013008470414206386,
0.011546852998435497,
-0.05906126648187637,
-0.05597582459449768,
0.0466972216963768,
-0.05405436456203461,
0.037810422480106354,
-0.0195920392870903,
-0.07022099941968918,
-0.07652401924133301,
-0.011189749464392662,
-0.08764781802892685,
0.010624483227729797,
-0.06815213710069656,
-0.04977145791053772,
0.08168444782495499,
-0.01864311285316944,
-0.0994274839758873,
0.06504916399717331
] | null | null | null | null | null | null | null | [
-0.021169841289520264,
0.010294323787093163,
-0.04655489698052406,
0.030264824628829956,
-0.046035803854465485,
-0.0012196906609460711,
0.012127002701163292,
-0.0260322242975235,
-0.07448400557041168,
-0.028666440397500992,
0.07516469061374664,
-0.0094345323741436,
-0.008364878594875336,
-0.07705917209386826,
0.05350317806005478,
0.007940651848912239,
0.02649453841149807,
0.08047518879175186,
-0.009749959222972393,
0.09984715282917023,
-0.02096441015601158,
-0.07160288095474243,
0.05544836446642876,
-0.06999652832746506,
-0.03924805670976639,
0.005041660740971565,
0.036104317754507065,
-0.05653158947825432,
-0.04074482619762421,
-0.005895539652556181,
0.05702267587184906,
-0.011059689335525036,
-0.13297560811042786,
0.08335849642753601,
0.0031635414343327284,
-0.08522538095712662,
0.023506704717874527,
-0.0281419325619936,
-0.03309469297528267,
-0.004680135753005743,
0.04905585199594498,
0.006875228136777878,
0.04352346807718277,
0.0386321060359478,
-0.0037797116674482822,
-0.01959005370736122,
0.0940297544002533,
-0.06724439561367035,
-0.09288671612739563,
-0.0659138634800911,
0.013102748431265354,
0.12079811841249466,
-0.004266566596925259,
-0.02349803037941456,
-0.016523482277989388,
0.056410305202007294,
0.00843121949583292,
-0.004156311508268118,
-0.05545499920845032,
0.004376084543764591,
0.037170372903347015,
-0.0041242740117013454,
-0.07389301061630249,
-0.0886998325586319,
0.041340965777635574,
-0.028716258704662323,
-0.010646083392202854,
-0.05508808791637421,
0.023242535069584846,
-0.01957668550312519,
0.021806254982948303,
-0.016888102516531944,
-0.08024410903453827,
0.04378397390246391,
-0.02234393171966076,
-0.022399108856916428,
-0.009188677184283733,
0.06103356555104256,
-0.017967697232961655,
0.010521198622882366,
-0.016529781743884087,
-0.09151281416416168,
-0.009606420062482357,
0.008191601373255253,
0.007928849197924137,
-0.017703641206026077,
0.026939036324620247,
-0.002466963604092598,
-0.0017284333007410169,
-0.04772431030869484,
0.056567296385765076,
-0.006028563249856234,
-0.07512795180082321,
-0.04108838364481926,
0.0016027470119297504,
0.030470816418528557,
0.09226930886507034,
-0.01242926623672247,
0.012068893760442734,
0.0031392620876431465,
0.15022222697734833,
-0.039301298558712006,
-0.07709994167089462,
0.06859072297811508,
-0.06760696321725845,
0.018279392272233963,
0.07345480471849442,
0.030049003660678864,
-0.15067073702812195,
-0.01148777361959219,
0.05988282710313797,
0.011205066926777363,
-0.024566199630498886,
-0.05541585758328438,
0.09224149584770203,
-0.0016920211492106318,
0.03606642037630081,
0.06291966885328293,
0.03253322094678879,
0.09087849408388138,
-0.057138893753290176,
0.12171920388936996,
0.026885127648711205,
0.10589123517274857,
0.06607035547494888,
0.05958470329642296,
0.014626267366111279,
-1.6422369241012208e-35,
-0.00356214283965528,
0.114417165517807,
-0.03680802509188652,
-0.037691980600357056,
0.005037723574787378,
-0.04235149547457695,
0.021137656643986702,
-0.03402388095855713,
-0.05561016499996185,
0.03796910122036934,
0.04596899822354317,
0.06949936598539352,
-0.006984898820519447,
-0.05599050596356392,
0.0070542097091674805,
-0.03268757462501526,
0.047536611557006836,
-0.01010742038488388,
0.016153529286384583,
-0.02247866988182068,
0.024483732879161835,
0.04766732081770897,
0.03688811510801315,
0.034729816019535065,
-0.054867684841156006,
0.028687385842204094,
0.0600445531308651,
0.012999971397221088,
0.032094694674015045,
0.01735106110572815,
0.034825682640075684,
0.08511117100715637,
-0.009442371316254139,
-0.07158660888671875,
0.09713146090507507,
0.027875350788235664,
-0.054158683866262436,
0.06761369109153748,
0.0018125706119462848,
-0.04841833934187889,
-0.00815771333873272,
0.009698556736111641,
0.020044269040226936,
0.05098617821931839,
0.07163079082965851,
-0.07125880569219589,
-0.05543336644768715,
0.04610456898808479,
0.04992574825882912,
-0.02361820451915264,
-0.003548674751073122,
-0.10846085101366043,
-0.04554564133286476,
0.03692510724067688,
0.05804247036576271,
-0.020078254863619804,
0.04950361326336861,
0.05231040343642235,
-0.07467907667160034,
-0.03600442409515381,
0.0372784323990345,
0.001527226995676756,
0.011787492781877518,
0.04565437510609627,
-0.11603081971406937,
0.018927939236164093,
-0.017793230712413788,
-0.0037577340845018625,
-0.026429660618305206,
0.04913738742470741,
-0.03626394271850586,
0.06838969141244888,
0.04276862367987633,
-0.05239339545369148,
0.06554683297872543,
0.0027877315878868103,
-0.009985767304897308,
0.008075139485299587,
0.037312332540750504,
-0.007577687036246061,
-0.04978306218981743,
0.005868844222277403,
0.025381719693541527,
-0.011913051828742027,
-0.026217065751552582,
-0.04936639592051506,
-0.11580867320299149,
-0.0019358252175152302,
-0.05509166046977043,
-0.0154640544205904,
0.07075121998786926,
0.01883583329617977,
0.05407334119081497,
-0.09451159834861755,
-0.09243390709161758,
-2.825422078727289e-33,
0.0013022508937865496,
-0.06075476109981537,
0.054920077323913574,
0.044696006923913956,
0.018178636208176613,
0.048628441989421844,
0.0053976732306182384,
0.10573910176753998,
-0.04312211275100708,
0.034689582884311676,
0.07666181027889252,
-0.029911968857049942,
-0.03835298866033554,
-0.02584075927734375,
-0.0313878171145916,
-0.02211528830230236,
-0.040074363350868225,
0.05475516617298126,
0.130706325173378,
0.03873470425605774,
-0.014936442486941814,
-0.0250968337059021,
0.08030705899000168,
0.12042560428380966,
0.004662820138037205,
-0.04406679421663284,
0.04371992498636246,
-0.01643180102109909,
-0.030942808836698532,
-0.07630351185798645,
0.024042606353759766,
-0.02028791792690754,
0.050560664385557175,
-0.002750410232692957,
0.0038299676962196827,
-0.024650894105434418,
-0.04395279288291931,
-0.01078364159911871,
-0.08791391551494598,
0.03569405898451805,
-0.016657570376992226,
-0.010973895899951458,
-0.022922320291399956,
-0.05940461903810501,
-0.0014699806924909353,
0.03754616156220436,
-0.09005220979452133,
-0.04368462786078453,
-0.014298396185040474,
-0.03501085191965103,
-0.011568295769393444,
-0.061435211449861526,
0.030166951939463615,
0.0023821676149964333,
-0.016965821385383606,
0.009313172660768032,
0.027257846668362617,
0.04015279933810234,
0.07981181144714355,
0.1233009621500969,
-0.029202982783317566,
-0.022159021347761154,
0.01854197308421135,
-0.040093496441841125,
0.025056079030036926,
-0.0321597121655941,
0.0476067028939724,
-0.003926186356693506,
0.02734529972076416,
-0.05464370176196098,
0.0832236111164093,
0.021252110600471497,
0.014323307201266289,
-0.04295171797275543,
0.00996402371674776,
0.04806646332144737,
0.04395367205142975,
-0.08098669350147247,
-0.022974565625190735,
0.047129783779382706,
0.039883457124233246,
0.05198651924729347,
-0.034696731716394424,
-0.0430217869579792,
-0.013998574577271938,
-0.040510907769203186,
-0.005522637628018856,
-0.012712000869214535,
-0.10457451641559601,
0.0181849654763937,
0.03334071487188339,
-0.045776963233947754,
0.07308494299650192,
-0.1138417199254036,
0.0007346435450017452,
-5.123833801690125e-8,
0.03467477485537529,
0.07317428290843964,
-0.045552026480436325,
0.016126053407788277,
-0.021671423688530922,
-0.003919550683349371,
-0.02404705248773098,
-0.024057649075984955,
-0.02815529890358448,
-0.06750532984733582,
0.03494548052549362,
0.012342436239123344,
-0.0037599881179630756,
0.059679415076971054,
0.09180998057126999,
0.003089331788942218,
-0.022133097052574158,
-0.04880901053547859,
-0.0007524728425778449,
0.03834141790866852,
0.028988659381866455,
0.059191811829805374,
0.029192456975579262,
-0.05130106955766678,
0.0006617726176045835,
0.07450291514396667,
-0.044322118163108826,
0.07294470816850662,
0.04797980189323425,
-0.046079523861408234,
0.026129433885216713,
-0.10287068784236908,
0.06753528863191605,
0.10382125526666641,
-0.1591193974018097,
-0.015984321013092995,
-0.03630203381180763,
-0.035030510276556015,
0.016913386061787605,
0.0033384019043296576,
-0.007791753858327866,
0.024873847141861916,
-0.06592053174972534,
0.008362099528312683,
-0.037178151309490204,
0.0013008470414206386,
0.011546852998435497,
-0.05906126648187637,
-0.05597582459449768,
0.0466972216963768,
-0.05405436456203461,
0.037810422480106354,
-0.0195920392870903,
-0.07022099941968918,
-0.07652401924133301,
-0.011189749464392662,
-0.08764781802892685,
0.010624483227729797,
-0.06815213710069656,
-0.04977145791053772,
0.08168444782495499,
-0.01864311285316944,
-0.0994274839758873,
0.06504916399717331
] |
1401.1660 | Georg Weidenspointner | Georg Weidenspointner, Matej Batic, Steffen Hauf, Gabriela Hoff,
Markus Kuster, Maria Grazia Pia, and Paolo Saracco | Validation of Compton Scattering Monte Carlo Simulation Models | 5 pages, 3 figures, to be published in the Proceedings of IEEE
Nuclear Science Symposium 2013 | null | null | null | physics.comp-ph astro-ph.IM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Several models for the Monte Carlo simulation of Compton scattering on
electrons are quantitatively evaluated with respect to a large collection of
experimental data retrieved from the literature. Some of these models are
currently implemented in general purpose Monte Carlo systems; some have been
implemented and evaluated for possible use in Monte Carlo particle transport
for the first time in this study. Here we present first and preliminary results
concerning total and differential Compton scattering cross sections.
| [
{
"created": "Wed, 8 Jan 2014 11:08:54 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Weidenspointner",
"Georg",
""
],
[
"Batic",
"Matej",
""
],
[
"Hauf",
"Steffen",
""
],
[
"Hoff",
"Gabriela",
""
],
[
"Kuster",
"Markus",
""
],
[
"Pia",
"Maria Grazia",
""
],
[
"Saracco",
"Paolo",
""
]
] | [
-0.0639830008149147,
-0.05743018910288811,
0.02149556763470173,
0.07119812816381454,
-0.004162573721259832,
-0.07462365925312042,
-0.0007461472996510565,
0.008018076419830322,
-0.05825019255280495,
-0.06258305162191391,
0.014786751009523869,
-0.04223795235157013,
0.08951923996210098,
-0.037797994911670685,
-0.000674880517181009,
-0.012154852040112019,
0.03267843276262283,
0.008150988258421421,
-0.036262378096580505,
-0.021284250542521477,
-0.10246016830205917,
-0.003325151978060603,
0.0011126972967758775,
-0.021167989820241928,
-0.011724071577191353,
0.011358385905623436,
0.046314630657434464,
-0.04267115890979767,
-0.07845611125230789,
0.016004284843802452,
0.08534295111894608,
0.024241788312792778,
-0.08026613295078278,
0.017556440085172653,
-0.03757842257618904,
-0.025732656940817833,
-0.06945425271987915,
-0.10186776518821716,
-0.010304729454219341,
0.01569351926445961,
-0.055714502930641174,
0.034297969192266464,
0.01586664468050003,
0.02103257179260254,
0.12010739743709564,
-0.037003036588430405,
0.09272250533103943,
-0.03063410520553589,
0.02494797483086586,
-0.07214944064617157,
0.08330123126506805,
-0.03479211404919624,
-0.01541854441165924,
0.029624171555042267,
0.020836185663938522,
0.006140098441392183,
0.01892043463885784,
-0.11295457184314728,
-0.04059416800737381,
0.08692751824855804,
-0.0390528105199337,
-0.03021344542503357,
-0.064048171043396,
0.031171932816505432,
0.0204035434871912,
-0.04176164045929909,
-0.034515444189310074,
0.08154260367155075,
-0.0066940663382411,
0.04171139746904373,
-0.06173734366893768,
0.043889209628105164,
-0.04672129452228546,
-0.014072537422180176,
-0.011776858009397984,
-0.012887652963399887,
-0.0035102483816444874,
0.011260522529482841,
0.043123845010995865,
-0.11723088473081589,
-0.045442771166563034,
-0.02339911088347435,
-0.008370504714548588,
0.05107450857758522,
-0.00662656594067812,
0.07458028197288513,
-0.05091076344251633,
0.10033049434423447,
-0.03190712630748749,
-0.031242508441209793,
0.05381420999765396,
0.028873423114418983,
-0.071297287940979,
0.0127369724214077,
-0.10289810597896576,
0.012229803018271923,
0.08368265628814697,
-0.041112981736660004,
0.019726930186152458,
-0.03918108716607094,
0.02866184525191784,
0.06316284835338593,
0.0718962699174881,
-0.008213447406888008,
-0.01197715662419796,
0.0041533843614161015,
0.04359928146004677,
0.07800749689340591,
-0.1025523692369461,
-0.049672335386276245,
0.03360481932759285,
-0.014049387536942959,
-0.07917094975709915,
-0.0018528755754232407,
0.013536173850297928,
0.049982715398073196,
0.06470982730388641,
-0.033992134034633636,
-0.026733797043561935,
-0.03591495752334595,
-0.09687238186597824,
0.05102742090821266,
0.056820347905159,
0.015423106960952282,
-0.010202689096331596,
-0.031312454491853714,
-0.04366055503487587,
-4.558174782728681e-35,
0.01875472255051136,
0.035251375287771225,
-0.050957370549440384,
-0.01765255630016327,
0.020179497078061104,
0.002127263229340315,
0.025636859238147736,
-0.049290645867586136,
-0.008754758164286613,
0.0051047950983047485,
-0.00429856451228261,
-0.02160111628472805,
-0.025337442755699158,
-0.07754119485616684,
-0.03608889877796173,
0.04410950466990471,
-0.07684167474508286,
0.05257970839738846,
-0.01123223640024662,
0.07935008406639099,
0.04118172451853752,
0.026163268834352493,
0.00316989840939641,
-0.02479742467403412,
0.007871782407164574,
0.06745797395706177,
-0.07676755636930466,
-0.05468633398413658,
0.04281039908528328,
0.02455083094537258,
0.003428851719945669,
0.11321215331554413,
-0.01553041860461235,
0.03356090560555458,
-0.024478672072291374,
-0.010068233124911785,
-0.08601923286914825,
-0.013721744529902935,
0.018758032470941544,
0.024032074958086014,
0.030655672773718834,
0.006391807459294796,
0.021020419895648956,
-0.05591338500380516,
-0.057519834488630295,
0.007141286972910166,
0.05792497843503952,
-0.09582656621932983,
0.10727716237306595,
0.007944106124341488,
0.022239340469241142,
-0.06597926467657089,
0.010625839233398438,
-0.07260528951883316,
0.01610381342470646,
0.01597198285162449,
0.08474110066890717,
0.017115741968154907,
0.015658896416425705,
0.0209578238427639,
-0.03595814108848572,
0.04087412357330322,
-0.014466346241533756,
-0.004847567994147539,
0.0006869111675769091,
0.010365554131567478,
-0.029439909383654594,
0.02508215792477131,
-0.04924160987138748,
0.04657464474439621,
-0.016782883554697037,
0.02664405293762684,
0.004351514857262373,
-0.04544687643647194,
0.080983467400074,
-0.019788671284914017,
-0.12570352852344513,
0.017368147149682045,
0.02778780460357666,
0.047537460923194885,
-0.04179973527789116,
0.023036008700728416,
-0.01586325839161873,
-0.06431593000888824,
0.06088544800877571,
0.04856502264738083,
-0.004860414657741785,
-0.04356672614812851,
-0.09080653637647629,
0.005591598339378834,
0.040703486651182175,
-0.019191447645425797,
0.02626228891313076,
-0.07419462502002716,
0.02551090531051159,
-4.547093532940836e-33,
-0.05476155877113342,
0.09575940668582916,
0.06658618897199631,
0.07642880827188492,
-0.05949914827942848,
0.015358807519078255,
-0.023529034107923508,
0.0335187204182148,
0.13441506028175354,
-0.0005952363717369735,
0.004464439116418362,
0.10616057366132736,
-0.05151282623410225,
-0.01751093380153179,
0.038442082703113556,
-0.06296098977327347,
0.00345630687661469,
-0.008445894345641136,
-0.017784234136343002,
-0.02440512739121914,
0.04111377149820328,
-0.050726547837257385,
0.050924237817525864,
-0.09358884394168854,
-0.012020163238048553,
-0.0706474557518959,
0.05362012982368469,
-0.07777994126081467,
0.1312285214662552,
-0.08495229482650757,
-0.030114339664578438,
0.02828923426568508,
0.026945989578962326,
0.007394368760287762,
0.03610127791762352,
-0.034525975584983826,
0.044391050934791565,
0.07199864834547043,
0.06313784420490265,
-0.08014387637376785,
0.004232408013194799,
-0.005165731534361839,
0.01295769214630127,
-0.032049115747213364,
0.013940706849098206,
0.06728049367666245,
-0.008342776447534561,
-0.03399399295449257,
0.02520044893026352,
-0.010813454166054726,
0.005641700699925423,
-0.04037553817033768,
0.031192747876048088,
0.07374106347560883,
0.001941603608429432,
0.03942986577749252,
-0.013119864277541637,
0.04435700923204422,
0.07849361002445221,
-0.05848829075694084,
-0.12362300604581833,
-0.00840806495398283,
-0.0027581248432397842,
-0.0724683403968811,
-0.11814536154270172,
-0.016533859074115753,
-0.08424121141433716,
-0.0046511017717421055,
-0.013336713425815105,
-0.0017343362560495734,
-0.044906556606292725,
-0.061247289180755615,
-0.019606536254286766,
-0.057201698422431946,
-0.06343325972557068,
-0.07071555405855179,
0.03345583751797676,
-0.07900897413492203,
-0.023396730422973633,
0.005986999254673719,
-0.01990964636206627,
0.10505910962820053,
-0.0076104942709207535,
-0.07358814030885696,
0.09944711625576019,
-0.05356362462043762,
-0.05781666934490204,
0.038634274154901505,
0.006190871354192495,
-0.06774071604013443,
0.020482709631323814,
0.0024384644348174334,
0.14152289927005768,
-0.026203995570540428,
-0.08845914900302887,
-3.616803923023326e-8,
-0.03721731901168823,
0.020953096449375153,
-0.004188340622931719,
-0.004056605044752359,
0.06935378164052963,
0.045695431530475616,
-0.024739481508731842,
0.0388045608997345,
0.02158292755484581,
0.047450579702854156,
0.08308319747447968,
0.03854399546980858,
0.04014914855360985,
-0.01680215634405613,
-0.03187074139714241,
0.04208695888519287,
0.008048794232308865,
-0.13651470839977264,
0.030958281829953194,
-0.020607488229870796,
-0.018053609877824783,
0.023118318989872932,
0.008002698421478271,
0.015541701577603817,
-0.04146026447415352,
0.05617906525731087,
-0.03813691437244415,
-0.07241036742925644,
-0.05735717713832855,
-0.05779150128364563,
0.028467722237110138,
-0.010771098546683788,
-0.0026184788439422846,
0.10247818380594254,
0.046030499041080475,
-0.06497408449649811,
0.07807786762714386,
0.030282555148005486,
0.14107614755630493,
0.02464427798986435,
0.02762312814593315,
-0.045782752335071564,
0.009845830500125885,
0.043199244886636734,
0.036184247583150864,
0.13558675348758698,
-0.03150305151939392,
-0.019633030518889427,
-0.01191494520753622,
0.04663228988647461,
0.012782461941242218,
-0.02219598926603794,
-0.0011468530865386128,
-0.10126908868551254,
0.009929141029715538,
0.018739940598607063,
0.02897455543279648,
-0.05355630815029144,
0.04098552092909813,
-0.04588181525468826,
0.03440776839852333,
-0.015847481787204742,
-0.057309865951538086,
0.036586180329322815
] | null | null | null | null | null | null | null | [
-0.0639830008149147,
-0.05743018910288811,
0.02149556763470173,
0.07119812816381454,
-0.004162573721259832,
-0.07462365925312042,
-0.0007461472996510565,
0.008018076419830322,
-0.05825019255280495,
-0.06258305162191391,
0.014786751009523869,
-0.04223795235157013,
0.08951923996210098,
-0.037797994911670685,
-0.000674880517181009,
-0.012154852040112019,
0.03267843276262283,
0.008150988258421421,
-0.036262378096580505,
-0.021284250542521477,
-0.10246016830205917,
-0.003325151978060603,
0.0011126972967758775,
-0.021167989820241928,
-0.011724071577191353,
0.011358385905623436,
0.046314630657434464,
-0.04267115890979767,
-0.07845611125230789,
0.016004284843802452,
0.08534295111894608,
0.024241788312792778,
-0.08026613295078278,
0.017556440085172653,
-0.03757842257618904,
-0.025732656940817833,
-0.06945425271987915,
-0.10186776518821716,
-0.010304729454219341,
0.01569351926445961,
-0.055714502930641174,
0.034297969192266464,
0.01586664468050003,
0.02103257179260254,
0.12010739743709564,
-0.037003036588430405,
0.09272250533103943,
-0.03063410520553589,
0.02494797483086586,
-0.07214944064617157,
0.08330123126506805,
-0.03479211404919624,
-0.01541854441165924,
0.029624171555042267,
0.020836185663938522,
0.006140098441392183,
0.01892043463885784,
-0.11295457184314728,
-0.04059416800737381,
0.08692751824855804,
-0.0390528105199337,
-0.03021344542503357,
-0.064048171043396,
0.031171932816505432,
0.0204035434871912,
-0.04176164045929909,
-0.034515444189310074,
0.08154260367155075,
-0.0066940663382411,
0.04171139746904373,
-0.06173734366893768,
0.043889209628105164,
-0.04672129452228546,
-0.014072537422180176,
-0.011776858009397984,
-0.012887652963399887,
-0.0035102483816444874,
0.011260522529482841,
0.043123845010995865,
-0.11723088473081589,
-0.045442771166563034,
-0.02339911088347435,
-0.008370504714548588,
0.05107450857758522,
-0.00662656594067812,
0.07458028197288513,
-0.05091076344251633,
0.10033049434423447,
-0.03190712630748749,
-0.031242508441209793,
0.05381420999765396,
0.028873423114418983,
-0.071297287940979,
0.0127369724214077,
-0.10289810597896576,
0.012229803018271923,
0.08368265628814697,
-0.041112981736660004,
0.019726930186152458,
-0.03918108716607094,
0.02866184525191784,
0.06316284835338593,
0.0718962699174881,
-0.008213447406888008,
-0.01197715662419796,
0.0041533843614161015,
0.04359928146004677,
0.07800749689340591,
-0.1025523692369461,
-0.049672335386276245,
0.03360481932759285,
-0.014049387536942959,
-0.07917094975709915,
-0.0018528755754232407,
0.013536173850297928,
0.049982715398073196,
0.06470982730388641,
-0.033992134034633636,
-0.026733797043561935,
-0.03591495752334595,
-0.09687238186597824,
0.05102742090821266,
0.056820347905159,
0.015423106960952282,
-0.010202689096331596,
-0.031312454491853714,
-0.04366055503487587,
-4.558174782728681e-35,
0.01875472255051136,
0.035251375287771225,
-0.050957370549440384,
-0.01765255630016327,
0.020179497078061104,
0.002127263229340315,
0.025636859238147736,
-0.049290645867586136,
-0.008754758164286613,
0.0051047950983047485,
-0.00429856451228261,
-0.02160111628472805,
-0.025337442755699158,
-0.07754119485616684,
-0.03608889877796173,
0.04410950466990471,
-0.07684167474508286,
0.05257970839738846,
-0.01123223640024662,
0.07935008406639099,
0.04118172451853752,
0.026163268834352493,
0.00316989840939641,
-0.02479742467403412,
0.007871782407164574,
0.06745797395706177,
-0.07676755636930466,
-0.05468633398413658,
0.04281039908528328,
0.02455083094537258,
0.003428851719945669,
0.11321215331554413,
-0.01553041860461235,
0.03356090560555458,
-0.024478672072291374,
-0.010068233124911785,
-0.08601923286914825,
-0.013721744529902935,
0.018758032470941544,
0.024032074958086014,
0.030655672773718834,
0.006391807459294796,
0.021020419895648956,
-0.05591338500380516,
-0.057519834488630295,
0.007141286972910166,
0.05792497843503952,
-0.09582656621932983,
0.10727716237306595,
0.007944106124341488,
0.022239340469241142,
-0.06597926467657089,
0.010625839233398438,
-0.07260528951883316,
0.01610381342470646,
0.01597198285162449,
0.08474110066890717,
0.017115741968154907,
0.015658896416425705,
0.0209578238427639,
-0.03595814108848572,
0.04087412357330322,
-0.014466346241533756,
-0.004847567994147539,
0.0006869111675769091,
0.010365554131567478,
-0.029439909383654594,
0.02508215792477131,
-0.04924160987138748,
0.04657464474439621,
-0.016782883554697037,
0.02664405293762684,
0.004351514857262373,
-0.04544687643647194,
0.080983467400074,
-0.019788671284914017,
-0.12570352852344513,
0.017368147149682045,
0.02778780460357666,
0.047537460923194885,
-0.04179973527789116,
0.023036008700728416,
-0.01586325839161873,
-0.06431593000888824,
0.06088544800877571,
0.04856502264738083,
-0.004860414657741785,
-0.04356672614812851,
-0.09080653637647629,
0.005591598339378834,
0.040703486651182175,
-0.019191447645425797,
0.02626228891313076,
-0.07419462502002716,
0.02551090531051159,
-4.547093532940836e-33,
-0.05476155877113342,
0.09575940668582916,
0.06658618897199631,
0.07642880827188492,
-0.05949914827942848,
0.015358807519078255,
-0.023529034107923508,
0.0335187204182148,
0.13441506028175354,
-0.0005952363717369735,
0.004464439116418362,
0.10616057366132736,
-0.05151282623410225,
-0.01751093380153179,
0.038442082703113556,
-0.06296098977327347,
0.00345630687661469,
-0.008445894345641136,
-0.017784234136343002,
-0.02440512739121914,
0.04111377149820328,
-0.050726547837257385,
0.050924237817525864,
-0.09358884394168854,
-0.012020163238048553,
-0.0706474557518959,
0.05362012982368469,
-0.07777994126081467,
0.1312285214662552,
-0.08495229482650757,
-0.030114339664578438,
0.02828923426568508,
0.026945989578962326,
0.007394368760287762,
0.03610127791762352,
-0.034525975584983826,
0.044391050934791565,
0.07199864834547043,
0.06313784420490265,
-0.08014387637376785,
0.004232408013194799,
-0.005165731534361839,
0.01295769214630127,
-0.032049115747213364,
0.013940706849098206,
0.06728049367666245,
-0.008342776447534561,
-0.03399399295449257,
0.02520044893026352,
-0.010813454166054726,
0.005641700699925423,
-0.04037553817033768,
0.031192747876048088,
0.07374106347560883,
0.001941603608429432,
0.03942986577749252,
-0.013119864277541637,
0.04435700923204422,
0.07849361002445221,
-0.05848829075694084,
-0.12362300604581833,
-0.00840806495398283,
-0.0027581248432397842,
-0.0724683403968811,
-0.11814536154270172,
-0.016533859074115753,
-0.08424121141433716,
-0.0046511017717421055,
-0.013336713425815105,
-0.0017343362560495734,
-0.044906556606292725,
-0.061247289180755615,
-0.019606536254286766,
-0.057201698422431946,
-0.06343325972557068,
-0.07071555405855179,
0.03345583751797676,
-0.07900897413492203,
-0.023396730422973633,
0.005986999254673719,
-0.01990964636206627,
0.10505910962820053,
-0.0076104942709207535,
-0.07358814030885696,
0.09944711625576019,
-0.05356362462043762,
-0.05781666934490204,
0.038634274154901505,
0.006190871354192495,
-0.06774071604013443,
0.020482709631323814,
0.0024384644348174334,
0.14152289927005768,
-0.026203995570540428,
-0.08845914900302887,
-3.616803923023326e-8,
-0.03721731901168823,
0.020953096449375153,
-0.004188340622931719,
-0.004056605044752359,
0.06935378164052963,
0.045695431530475616,
-0.024739481508731842,
0.0388045608997345,
0.02158292755484581,
0.047450579702854156,
0.08308319747447968,
0.03854399546980858,
0.04014914855360985,
-0.01680215634405613,
-0.03187074139714241,
0.04208695888519287,
0.008048794232308865,
-0.13651470839977264,
0.030958281829953194,
-0.020607488229870796,
-0.018053609877824783,
0.023118318989872932,
0.008002698421478271,
0.015541701577603817,
-0.04146026447415352,
0.05617906525731087,
-0.03813691437244415,
-0.07241036742925644,
-0.05735717713832855,
-0.05779150128364563,
0.028467722237110138,
-0.010771098546683788,
-0.0026184788439422846,
0.10247818380594254,
0.046030499041080475,
-0.06497408449649811,
0.07807786762714386,
0.030282555148005486,
0.14107614755630493,
0.02464427798986435,
0.02762312814593315,
-0.045782752335071564,
0.009845830500125885,
0.043199244886636734,
0.036184247583150864,
0.13558675348758698,
-0.03150305151939392,
-0.019633030518889427,
-0.01191494520753622,
0.04663228988647461,
0.012782461941242218,
-0.02219598926603794,
-0.0011468530865386128,
-0.10126908868551254,
0.009929141029715538,
0.018739940598607063,
0.02897455543279648,
-0.05355630815029144,
0.04098552092909813,
-0.04588181525468826,
0.03440776839852333,
-0.015847481787204742,
-0.057309865951538086,
0.036586180329322815
] |
1401.1661 | Tao Zhu | Tao Zhu, Shihong Huang, Leilei Shi, Lei Gao, Wei Huang, Baomei Zhang | Ultra-narrow Linewidth Fiber Laser with Self-injection Feedback Based on
Rayleigh Backscattering | 5 pages, 6 figures | null | null | null | physics.optics | http://creativecommons.org/licenses/by-nc-sa/3.0/ | A single longitudinal mode fiber laser with ultra-narrow linewidth based on
self-injection feedback by using the linewidth compress mechanism of Rayleigh
backscattering (RBS) are proposed and demonstrated. Since the linewidth of RBS
is narrower than that of the incident light in optical fibers and they have the
same centre wavelength, the RBS can act as a mechanism to compress the
linewidth of the incident light in fiber ring laser. In addition, more RBS
signal could be collected to help further compress the laser linewidth besides
the free spectral range is expanded when the self-injection feedback method is
used. Our experimental results show that the side-mode suppression ratio of our
laser is up to 75dB and the laser linewidth could be low to ~130Hz.
| [
{
"created": "Wed, 8 Jan 2014 11:10:41 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Zhu",
"Tao",
""
],
[
"Huang",
"Shihong",
""
],
[
"Shi",
"Leilei",
""
],
[
"Gao",
"Lei",
""
],
[
"Huang",
"Wei",
""
],
[
"Zhang",
"Baomei",
""
]
] | [
0.06506127864122391,
0.005056196823716164,
-0.041389383375644684,
0.0623486265540123,
-0.09125445038080215,
0.003896150039508939,
-0.020666493102908134,
-0.1122017353773117,
-0.07359825074672699,
-0.02372289076447487,
-0.016302770003676414,
0.1423187255859375,
0.042727138847112656,
-0.12426681816577911,
-0.010713556781411171,
0.06080168858170509,
0.02841733954846859,
0.030245259404182434,
0.01917733997106552,
0.03794572129845619,
0.006129137706011534,
-0.023385025560855865,
-0.010682056657969952,
0.04371265321969986,
-0.044427886605262756,
-0.03983872011303902,
0.009090369567275047,
0.034910473972558975,
-0.01711466908454895,
-0.013488119468092918,
0.023610994219779968,
-0.020775064826011658,
-0.037845201790332794,
0.002472768072038889,
-0.008303627371788025,
-0.03673916682600975,
0.044298432767391205,
-0.009339026175439358,
-0.009370723739266396,
0.01152528915554285,
-0.01984710805118084,
-0.03356853872537613,
-0.0011694093700498343,
0.0809519812464714,
-0.06409221887588501,
-0.021222442388534546,
0.009156666696071625,
-0.07496339082717896,
-0.07293763011693954,
-0.024591876193881035,
0.10244487226009369,
0.07525473088026047,
-0.06706708669662476,
0.019049182534217834,
0.07767868041992188,
0.01490755844861269,
-0.06170196086168289,
0.06529419869184494,
-0.06191451475024223,
-0.03248877078294754,
-0.00021161285985726863,
-0.012208400294184685,
-0.06567855179309845,
-0.053245659917593,
0.09297563135623932,
0.013808234594762325,
-0.013051532208919525,
0.0022414277773350477,
0.000534893071744591,
-0.03455977886915207,
0.06273570656776428,
-0.08401167392730713,
-0.012431255541741848,
0.05421514809131622,
0.038794007152318954,
0.04544315114617348,
-0.0027082667220383883,
0.0706615000963211,
-0.09817016124725342,
0.10761415213346481,
0.09054680168628693,
-0.029872475191950798,
0.03129161521792412,
0.10589779168367386,
-0.13916133344173431,
0.03194785490632057,
0.030055133625864983,
0.026562295854091644,
-0.06166711449623108,
-0.04534975066781044,
-0.01454880740493536,
0.013261516578495502,
-0.031708765774965286,
-0.012922179885208607,
-0.0223234836012125,
-0.10697898268699646,
0.025240827351808548,
-0.06876190751791,
-0.034453313797712326,
-0.03225769102573395,
0.04980156943202019,
-0.09108496457338333,
-0.0049558598548173904,
0.05038457363843918,
-0.05633096769452095,
-0.021521247923374176,
0.020508935675024986,
0.07635784149169922,
-0.059711530804634094,
0.03919431194663048,
-0.02494931034743786,
-0.022312864661216736,
-0.046705231070518494,
-0.004581684712320566,
0.024304721504449844,
0.02808210626244545,
-0.017637120559811592,
0.06844479590654373,
0.01600486785173416,
-0.031165096908807755,
-0.040933530777692795,
0.03997807204723358,
0.005299913696944714,
-0.03620930388569832,
0.04678146168589592,
0.034478168934583664,
0.06649332493543625,
4.8365990571071493e-33,
0.005205999594181776,
0.09266576915979385,
-0.05736289173364639,
-0.03645146265625954,
-0.03019065223634243,
0.01850287616252899,
0.014391541481018066,
-0.02142338454723358,
-0.04261692240834236,
0.04438239336013794,
0.0361119844019413,
-0.023275334388017654,
-0.010176184587180614,
0.08798404783010483,
0.001303834025748074,
0.015959996730089188,
0.06875859200954437,
0.04476797580718994,
-0.0548827238380909,
0.0278929490596056,
-0.00007690001802984625,
0.028946135193109512,
0.006963036488741636,
0.036593981087207794,
-0.0027478537522256374,
0.010197286494076252,
0.0024055694229900837,
-0.00009233536547981203,
-0.032483022660017014,
-0.010595882311463356,
0.08471117168664932,
0.052286628633737564,
0.028630701825022697,
-0.049201734364032745,
0.01677732914686203,
0.04802267625927925,
-0.021716883406043053,
0.1051797941327095,
0.02121260203421116,
0.0155686866492033,
0.024911843240261078,
0.010613879188895226,
0.016840118914842606,
0.021824337542057037,
0.06255713105201721,
-0.1268758773803711,
-0.08614242821931839,
-0.029767746105790138,
-0.15622106194496155,
0.036512620747089386,
-0.002334325108677149,
0.036892473697662354,
0.03686284273862839,
0.06494619697332382,
0.050222475081682205,
-0.030662858858704567,
0.05337231978774071,
0.036690935492515564,
-0.03836595639586449,
0.0028911905828863382,
0.054338425397872925,
-0.14345045387744904,
0.030513599514961243,
-0.07084104418754578,
0.02281150408089161,
0.04713408648967743,
0.028411436825990677,
-0.036883216351270676,
-0.028119660913944244,
-0.004460962489247322,
-0.021044043824076653,
0.013834244571626186,
0.039190590381622314,
-0.030542608350515366,
-0.029315980151295662,
-0.020856257528066635,
-0.009987014345824718,
0.0328386127948761,
0.012879406102001667,
0.008925159461796284,
-0.0724431723356247,
0.028319500386714935,
0.027733994647860527,
-0.0339396707713604,
0.060276295989751816,
0.003917255904525518,
-0.04195184260606766,
-0.00439064484089613,
0.022241102531552315,
-0.02291230857372284,
0.012218454852700233,
-0.06963664293289185,
-0.016129428520798683,
-0.011668811552226543,
0.03306582570075989,
-4.41661108860567e-33,
0.049335382878780365,
0.019586503505706787,
-0.048080071806907654,
0.024837002158164978,
0.05151628330349922,
0.03482683002948761,
0.04678027704358101,
0.04923981428146362,
0.003832927905023098,
0.028118470683693886,
0.020222198218107224,
-0.005339138675481081,
-0.0511743426322937,
0.021161561831831932,
-0.04152193292975426,
0.021520869806408882,
-0.051043909043073654,
-0.04848087579011917,
0.010767053812742233,
-0.02722940780222416,
0.022160788998007774,
0.008544466458261013,
0.05854032188653946,
0.04833756759762764,
0.07659526914358139,
-0.0864809900522232,
0.006532751023769379,
0.03383120149374008,
-0.004750339314341545,
-0.0075476039201021194,
0.04282969981431961,
-0.039544712752103806,
0.06663106381893158,
-0.006928867660462856,
-0.06820983439683914,
0.03441068157553673,
-0.0647469088435173,
0.14165011048316956,
0.006415043957531452,
-0.0059890239499509335,
-0.008989798836410046,
0.024955134838819504,
-0.03145416080951691,
-0.10126695781946182,
0.009690569713711739,
-0.02782474271953106,
-0.05580005422234535,
-0.05829542502760887,
0.07624981552362442,
0.06555203348398209,
-0.045953452587127686,
0.10902349650859833,
0.04320549964904785,
0.1230735182762146,
0.0031964238733053207,
-0.0761035829782486,
0.016043512150645256,
0.04416150972247124,
-0.016636405140161514,
0.08304857462644577,
-0.019559012725949287,
-0.008543132804334164,
0.073786661028862,
0.005923810880631208,
0.004309650976210833,
0.053450603038072586,
0.028956865891814232,
-0.054994385689496994,
0.04577232152223587,
-0.06281007081270218,
0.00008039843669394031,
0.00835016556084156,
0.08564639836549759,
0.08176261931657791,
0.05555703863501549,
0.0573459193110466,
-0.02177107147872448,
0.0056859818287193775,
-0.06193620711565018,
0.0782940536737442,
-0.0042710634879767895,
-0.011352830566465855,
-0.00573071651160717,
0.14725996553897858,
0.029644295573234558,
-0.05233938246965408,
0.020481208339333534,
0.015170573256909847,
-0.07346298545598984,
-0.056663453578948975,
0.10461802035570145,
-0.03206796571612358,
0.016177140176296234,
-0.0199443269520998,
0.13737095892429352,
-5.266941371928624e-8,
-0.07330361008644104,
-0.019909285008907318,
-0.05823402479290962,
0.07698696851730347,
0.034337788820266724,
-0.009521623142063618,
-0.018487103283405304,
0.007265923544764519,
0.00013048184337094426,
-0.16453365981578827,
-0.02750609815120697,
-0.054185084998607635,
-0.06358461827039719,
0.014933123253285885,
0.08388359099626541,
-0.03984186798334122,
0.013698271475732327,
-0.057205528020858765,
-0.010400124825537205,
0.009337395429611206,
-0.07356041669845581,
-0.06382429599761963,
0.0042633130215108395,
-0.06298662722110748,
-0.04243319481611252,
0.0022930509876459837,
-0.04129756614565849,
0.04978642240166664,
-0.03750334307551384,
-0.048048827797174454,
0.0701889917254448,
-0.02308383397758007,
-0.04234453663229942,
0.00731274439021945,
-0.08842124789953232,
0.008698717691004276,
0.05990230664610863,
0.07205113768577576,
-0.04714580625295639,
0.009662710130214691,
0.02946038544178009,
-0.03571793809533119,
-0.014685492031276226,
-0.04075128585100174,
0.024377746507525444,
0.06559599190950394,
0.08053940534591675,
-0.03186153993010521,
-0.08682112395763397,
0.034744083881378174,
0.05943036451935768,
0.020147955045104027,
0.06642162799835205,
-0.1289217472076416,
0.020776228979229927,
0.018091782927513123,
-0.0031629581935703754,
0.05753709003329277,
-0.04030191898345947,
0.025284143164753914,
-0.04273190349340439,
-0.01958516612648964,
0.030484236776828766,
-0.03436199203133583
] | null | null | null | null | null | null | null | [
0.06506127864122391,
0.005056196823716164,
-0.041389383375644684,
0.0623486265540123,
-0.09125445038080215,
0.003896150039508939,
-0.020666493102908134,
-0.1122017353773117,
-0.07359825074672699,
-0.02372289076447487,
-0.016302770003676414,
0.1423187255859375,
0.042727138847112656,
-0.12426681816577911,
-0.010713556781411171,
0.06080168858170509,
0.02841733954846859,
0.030245259404182434,
0.01917733997106552,
0.03794572129845619,
0.006129137706011534,
-0.023385025560855865,
-0.010682056657969952,
0.04371265321969986,
-0.044427886605262756,
-0.03983872011303902,
0.009090369567275047,
0.034910473972558975,
-0.01711466908454895,
-0.013488119468092918,
0.023610994219779968,
-0.020775064826011658,
-0.037845201790332794,
0.002472768072038889,
-0.008303627371788025,
-0.03673916682600975,
0.044298432767391205,
-0.009339026175439358,
-0.009370723739266396,
0.01152528915554285,
-0.01984710805118084,
-0.03356853872537613,
-0.0011694093700498343,
0.0809519812464714,
-0.06409221887588501,
-0.021222442388534546,
0.009156666696071625,
-0.07496339082717896,
-0.07293763011693954,
-0.024591876193881035,
0.10244487226009369,
0.07525473088026047,
-0.06706708669662476,
0.019049182534217834,
0.07767868041992188,
0.01490755844861269,
-0.06170196086168289,
0.06529419869184494,
-0.06191451475024223,
-0.03248877078294754,
-0.00021161285985726863,
-0.012208400294184685,
-0.06567855179309845,
-0.053245659917593,
0.09297563135623932,
0.013808234594762325,
-0.013051532208919525,
0.0022414277773350477,
0.000534893071744591,
-0.03455977886915207,
0.06273570656776428,
-0.08401167392730713,
-0.012431255541741848,
0.05421514809131622,
0.038794007152318954,
0.04544315114617348,
-0.0027082667220383883,
0.0706615000963211,
-0.09817016124725342,
0.10761415213346481,
0.09054680168628693,
-0.029872475191950798,
0.03129161521792412,
0.10589779168367386,
-0.13916133344173431,
0.03194785490632057,
0.030055133625864983,
0.026562295854091644,
-0.06166711449623108,
-0.04534975066781044,
-0.01454880740493536,
0.013261516578495502,
-0.031708765774965286,
-0.012922179885208607,
-0.0223234836012125,
-0.10697898268699646,
0.025240827351808548,
-0.06876190751791,
-0.034453313797712326,
-0.03225769102573395,
0.04980156943202019,
-0.09108496457338333,
-0.0049558598548173904,
0.05038457363843918,
-0.05633096769452095,
-0.021521247923374176,
0.020508935675024986,
0.07635784149169922,
-0.059711530804634094,
0.03919431194663048,
-0.02494931034743786,
-0.022312864661216736,
-0.046705231070518494,
-0.004581684712320566,
0.024304721504449844,
0.02808210626244545,
-0.017637120559811592,
0.06844479590654373,
0.01600486785173416,
-0.031165096908807755,
-0.040933530777692795,
0.03997807204723358,
0.005299913696944714,
-0.03620930388569832,
0.04678146168589592,
0.034478168934583664,
0.06649332493543625,
4.8365990571071493e-33,
0.005205999594181776,
0.09266576915979385,
-0.05736289173364639,
-0.03645146265625954,
-0.03019065223634243,
0.01850287616252899,
0.014391541481018066,
-0.02142338454723358,
-0.04261692240834236,
0.04438239336013794,
0.0361119844019413,
-0.023275334388017654,
-0.010176184587180614,
0.08798404783010483,
0.001303834025748074,
0.015959996730089188,
0.06875859200954437,
0.04476797580718994,
-0.0548827238380909,
0.0278929490596056,
-0.00007690001802984625,
0.028946135193109512,
0.006963036488741636,
0.036593981087207794,
-0.0027478537522256374,
0.010197286494076252,
0.0024055694229900837,
-0.00009233536547981203,
-0.032483022660017014,
-0.010595882311463356,
0.08471117168664932,
0.052286628633737564,
0.028630701825022697,
-0.049201734364032745,
0.01677732914686203,
0.04802267625927925,
-0.021716883406043053,
0.1051797941327095,
0.02121260203421116,
0.0155686866492033,
0.024911843240261078,
0.010613879188895226,
0.016840118914842606,
0.021824337542057037,
0.06255713105201721,
-0.1268758773803711,
-0.08614242821931839,
-0.029767746105790138,
-0.15622106194496155,
0.036512620747089386,
-0.002334325108677149,
0.036892473697662354,
0.03686284273862839,
0.06494619697332382,
0.050222475081682205,
-0.030662858858704567,
0.05337231978774071,
0.036690935492515564,
-0.03836595639586449,
0.0028911905828863382,
0.054338425397872925,
-0.14345045387744904,
0.030513599514961243,
-0.07084104418754578,
0.02281150408089161,
0.04713408648967743,
0.028411436825990677,
-0.036883216351270676,
-0.028119660913944244,
-0.004460962489247322,
-0.021044043824076653,
0.013834244571626186,
0.039190590381622314,
-0.030542608350515366,
-0.029315980151295662,
-0.020856257528066635,
-0.009987014345824718,
0.0328386127948761,
0.012879406102001667,
0.008925159461796284,
-0.0724431723356247,
0.028319500386714935,
0.027733994647860527,
-0.0339396707713604,
0.060276295989751816,
0.003917255904525518,
-0.04195184260606766,
-0.00439064484089613,
0.022241102531552315,
-0.02291230857372284,
0.012218454852700233,
-0.06963664293289185,
-0.016129428520798683,
-0.011668811552226543,
0.03306582570075989,
-4.41661108860567e-33,
0.049335382878780365,
0.019586503505706787,
-0.048080071806907654,
0.024837002158164978,
0.05151628330349922,
0.03482683002948761,
0.04678027704358101,
0.04923981428146362,
0.003832927905023098,
0.028118470683693886,
0.020222198218107224,
-0.005339138675481081,
-0.0511743426322937,
0.021161561831831932,
-0.04152193292975426,
0.021520869806408882,
-0.051043909043073654,
-0.04848087579011917,
0.010767053812742233,
-0.02722940780222416,
0.022160788998007774,
0.008544466458261013,
0.05854032188653946,
0.04833756759762764,
0.07659526914358139,
-0.0864809900522232,
0.006532751023769379,
0.03383120149374008,
-0.004750339314341545,
-0.0075476039201021194,
0.04282969981431961,
-0.039544712752103806,
0.06663106381893158,
-0.006928867660462856,
-0.06820983439683914,
0.03441068157553673,
-0.0647469088435173,
0.14165011048316956,
0.006415043957531452,
-0.0059890239499509335,
-0.008989798836410046,
0.024955134838819504,
-0.03145416080951691,
-0.10126695781946182,
0.009690569713711739,
-0.02782474271953106,
-0.05580005422234535,
-0.05829542502760887,
0.07624981552362442,
0.06555203348398209,
-0.045953452587127686,
0.10902349650859833,
0.04320549964904785,
0.1230735182762146,
0.0031964238733053207,
-0.0761035829782486,
0.016043512150645256,
0.04416150972247124,
-0.016636405140161514,
0.08304857462644577,
-0.019559012725949287,
-0.008543132804334164,
0.073786661028862,
0.005923810880631208,
0.004309650976210833,
0.053450603038072586,
0.028956865891814232,
-0.054994385689496994,
0.04577232152223587,
-0.06281007081270218,
0.00008039843669394031,
0.00835016556084156,
0.08564639836549759,
0.08176261931657791,
0.05555703863501549,
0.0573459193110466,
-0.02177107147872448,
0.0056859818287193775,
-0.06193620711565018,
0.0782940536737442,
-0.0042710634879767895,
-0.011352830566465855,
-0.00573071651160717,
0.14725996553897858,
0.029644295573234558,
-0.05233938246965408,
0.020481208339333534,
0.015170573256909847,
-0.07346298545598984,
-0.056663453578948975,
0.10461802035570145,
-0.03206796571612358,
0.016177140176296234,
-0.0199443269520998,
0.13737095892429352,
-5.266941371928624e-8,
-0.07330361008644104,
-0.019909285008907318,
-0.05823402479290962,
0.07698696851730347,
0.034337788820266724,
-0.009521623142063618,
-0.018487103283405304,
0.007265923544764519,
0.00013048184337094426,
-0.16453365981578827,
-0.02750609815120697,
-0.054185084998607635,
-0.06358461827039719,
0.014933123253285885,
0.08388359099626541,
-0.03984186798334122,
0.013698271475732327,
-0.057205528020858765,
-0.010400124825537205,
0.009337395429611206,
-0.07356041669845581,
-0.06382429599761963,
0.0042633130215108395,
-0.06298662722110748,
-0.04243319481611252,
0.0022930509876459837,
-0.04129756614565849,
0.04978642240166664,
-0.03750334307551384,
-0.048048827797174454,
0.0701889917254448,
-0.02308383397758007,
-0.04234453663229942,
0.00731274439021945,
-0.08842124789953232,
0.008698717691004276,
0.05990230664610863,
0.07205113768577576,
-0.04714580625295639,
0.009662710130214691,
0.02946038544178009,
-0.03571793809533119,
-0.014685492031276226,
-0.04075128585100174,
0.024377746507525444,
0.06559599190950394,
0.08053940534591675,
-0.03186153993010521,
-0.08682112395763397,
0.034744083881378174,
0.05943036451935768,
0.020147955045104027,
0.06642162799835205,
-0.1289217472076416,
0.020776228979229927,
0.018091782927513123,
-0.0031629581935703754,
0.05753709003329277,
-0.04030191898345947,
0.025284143164753914,
-0.04273190349340439,
-0.01958516612648964,
0.030484236776828766,
-0.03436199203133583
] |
1401.1669 | J. G. Wolff | J. Gerard Wolff | Smart machines and the SP theory of intelligence | arXiv admin note: substantial text overlap with arXiv:1306.3890 | null | null | null | cs.AI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes describe how the "SP theory of intelligence", and its embodiment
in the "SP machine", may help to realise cognitive computing, as described in
the book "Smart Machines". In the SP system, information compression and a
concept of "multiple alignment" are centre stage. The system is designed to
integrate such things as unsupervised learning, pattern recognition,
probabilistic reasoning, and more. It may help to overcome the problem of
variety in big data, it may serve in pattern recognition and in the
unsupervised learning of structure in data, and it may facilitate the
management and transmission of big data. There is potential, via information
compression, for substantial gains in computational efficiency, especially in
the use of energy. The SP system may help to realise data-centric computing,
perhaps via a development of Hebb's concept of a "cell assembly", or via the
use of light or DNA for the processing of information. It has potential in the
management of errors and uncertainty in data, in medical diagnosis, in
processing streams of data, and in promoting adaptability in robots.
| [
{
"created": "Wed, 8 Jan 2014 11:32:56 GMT",
"version": "v1"
}
] | 2014-02-20 | [
[
"Wolff",
"J. Gerard",
""
]
] | [
-0.0875229686498642,
0.0500723235309124,
-0.07409539818763733,
-0.06499733775854111,
-0.007115567568689585,
-0.04484778270125389,
0.012090913951396942,
0.0074241068214178085,
-0.03128238394856453,
0.06433999538421631,
-0.011561022140085697,
0.0778440609574318,
0.06687915325164795,
-0.013413751497864723,
-0.03911319375038147,
0.005207965150475502,
-0.013142257928848267,
0.017839159816503525,
-0.10493272542953491,
-0.10632666200399399,
0.04134528711438179,
-0.021868126466870308,
-0.0484614260494709,
0.07198274880647659,
-0.00956570915877819,
0.06720011681318283,
0.005221910309046507,
-0.04794524982571602,
-0.013697191141545773,
-0.047988612204790115,
0.09427750110626221,
0.018059974536299706,
0.08780204504728317,
0.02633211575448513,
-0.025663387030363083,
0.07030089944601059,
0.005522811319679022,
0.02848532795906067,
0.035052668303251266,
-0.012021924369037151,
-0.004670133348554373,
-0.05188886448740959,
-0.05334169417619705,
0.05043384060263634,
0.06452494114637375,
0.10831419378519058,
-0.0315927192568779,
-0.048675112426280975,
-0.02586188167333603,
-0.0652681291103363,
-0.18943171203136444,
-0.0030776397325098515,
0.009105091914534569,
0.07402066141366959,
0.012017241679131985,
0.062159862369298935,
-0.059214312583208084,
-0.04613034799695015,
-0.015402793884277344,
-0.025495482608675957,
-0.011408272199332714,
-0.0445193275809288,
0.012789586558938026,
0.018253697082400322,
0.07845401763916016,
0.029739931225776672,
0.03720802068710327,
-0.04840150475502014,
0.03994797542691231,
-0.03057846613228321,
0.05156369507312775,
0.08543442189693451,
-0.02746320515871048,
0.13426360487937927,
0.006014987360686064,
-0.0004277987754903734,
-0.018089793622493744,
-0.011381242424249649,
0.053798526525497437,
0.004809063393622637,
-0.0024186098016798496,
0.021374722942709923,
-0.0030447104945778847,
0.050382182002067566,
0.03594990447163582,
-0.06218035891652107,
-0.024452218785881996,
0.038622256368398666,
-0.044568970799446106,
-0.03614785894751549,
-0.013921501114964485,
-0.06229832395911217,
0.040787819772958755,
-0.06728924810886383,
-0.013818739913403988,
0.0373801663517952,
0.00040498367161490023,
-0.05140808969736099,
0.04341507703065872,
0.054539754986763,
0.002325579756870866,
0.05190322548151016,
0.007087729871273041,
-0.023416537791490555,
-0.0064065721817314625,
-0.1494709700345993,
0.010513555258512497,
0.07644951343536377,
0.05217687040567398,
-0.04771437868475914,
0.013117714785039425,
-0.0018851892091333866,
0.0007389425882138312,
-0.04007335379719734,
-0.0089761633425951,
-0.04382425174117088,
-0.03007747419178486,
0.11342703551054001,
0.018989797681570053,
0.036388058215379715,
0.010119673795998096,
-0.010194665752351284,
-0.06388570368289948,
0.034938909113407135,
0.048413604497909546,
-0.07689230889081955,
-0.10571140050888062,
5.475615694135896e-35,
-0.04303739592432976,
-0.002963990904390812,
0.05803454667329788,
0.038640327751636505,
-0.046070586889982224,
-0.031477704644203186,
-0.06451059132814407,
-0.043767187744379044,
0.0021711434237658978,
0.07674115151166916,
-0.05678754672408104,
0.051736291497945786,
0.04290865734219551,
0.10045349597930908,
0.024271169677376747,
-0.04218149930238724,
-0.031827013939619064,
0.021168794482946396,
-0.03426486626267433,
-0.03804440423846245,
0.05548893287777901,
-0.024708636105060577,
0.013018623925745487,
-0.01600063405930996,
0.023635968565940857,
0.018895715475082397,
0.017306704074144363,
-0.07666792720556259,
0.05288403481245041,
0.006934741977602243,
-0.04577203840017319,
0.03491661697626114,
-0.0755055770277977,
0.027277108281850815,
0.10555976629257202,
-0.050293438136577606,
0.006146399304270744,
-0.06953555345535278,
0.017403816804289818,
0.020710917189717293,
0.011625382117927074,
0.055310241878032684,
0.008763778023421764,
-0.045423272997140884,
-0.02985161542892456,
0.034184977412223816,
0.10613711923360825,
0.026477297767996788,
0.01289735920727253,
-0.06815429031848907,
0.054184529930353165,
-0.021273449063301086,
-0.0014044491108506918,
0.019904639571905136,
0.004182285629212856,
0.09173331409692764,
0.022533271461725235,
-0.0358455590903759,
0.10894225537776947,
0.07122848927974701,
-0.08300118893384933,
-0.013010886497795582,
0.008013362996280193,
0.07181209325790405,
0.06335999071598053,
-0.04656265676021576,
-0.04248519614338875,
0.00834368821233511,
0.055727723985910416,
-0.011357446201145649,
0.008562466129660606,
-0.0435279980301857,
0.031638238579034805,
-0.03655295446515083,
0.01997174136340618,
0.02259966917335987,
0.014101524837315083,
-0.04399348795413971,
-0.12868262827396393,
0.011313267052173615,
-0.08550190180540085,
-0.06287381798028946,
-0.02353367768228054,
-0.05372689664363861,
0.023564085364341736,
-0.03851589187979698,
0.0024504289031028748,
-0.05191705748438835,
-0.0868796780705452,
-0.0431322380900383,
-0.030420051887631416,
-0.026820899918675423,
-0.011966587975621223,
-0.06038971617817879,
-0.07589419931173325,
-5.715184197898363e-34,
-0.0372149758040905,
-0.02879335545003414,
-0.055837783962488174,
0.05940525606274605,
0.028357891365885735,
0.01929287239909172,
0.016724517568945885,
-0.04112353175878525,
-0.06501812487840652,
-0.01994786225259304,
-0.047728970646858215,
-0.01216293778270483,
0.03119487315416336,
-0.03830333426594734,
-0.036818671971559525,
0.10523147881031036,
-0.03674749284982681,
0.011094413697719574,
-0.03738930821418762,
0.028478646650910378,
-0.07337051630020142,
0.08732561022043228,
-0.05942491814494133,
-0.013657155446708202,
0.02286376804113388,
0.08459911495447159,
-0.09504036605358124,
0.06981825828552246,
0.07845394313335419,
0.11047844588756561,
-0.04697740823030472,
-0.06059037148952484,
-0.05750318616628647,
0.0039059522096067667,
-0.0323900505900383,
-0.03071771003305912,
0.042207930237054825,
-0.002403834369033575,
0.021939082071185112,
-0.008284728974103928,
0.02203419990837574,
0.04975591227412224,
-0.09300157427787781,
-0.05419990047812462,
0.09877845644950867,
-0.012426795437932014,
-0.04467270150780678,
0.09518410265445709,
-0.02170206792652607,
0.052095040678977966,
0.03613560274243355,
0.07259897887706757,
-0.05981172248721123,
-0.06021978333592415,
0.0225532129406929,
-0.006513592321425676,
-0.09958323836326599,
0.0074016619473695755,
-0.020192567259073257,
-0.016354750841856003,
-0.03030945546925068,
-0.05140611156821251,
0.080705925822258,
0.0758747011423111,
0.010521259158849716,
0.033416908234357834,
0.03179484233260155,
0.003076225519180298,
-0.04125167429447174,
-0.0682285726070404,
-0.011781597509980202,
-0.05853039398789406,
0.01574215292930603,
0.037518709897994995,
0.011730059050023556,
-0.0033817565999925137,
-0.021666761487722397,
0.02019827999174595,
0.001881347387097776,
0.08266812562942505,
-0.005102331284433603,
-0.033245548605918884,
0.04544942080974579,
0.08774209767580032,
0.03331843391060829,
0.022137770429253578,
0.01535314042121172,
0.002127045067027211,
0.01977669447660446,
-0.06403254717588425,
-0.04569584131240845,
0.07074419409036636,
0.015543214045464993,
0.056020088493824005,
-0.04161542281508446,
-5.259028057480464e-8,
0.007420907728374004,
-0.050260670483112335,
0.06075309216976166,
-0.04417593404650688,
0.08014139533042908,
-0.06482274830341339,
0.0012237172340974212,
0.07189731299877167,
0.00590630853548646,
-0.053054049611091614,
0.061606451869010925,
-0.06491316854953766,
-0.07665226608514786,
0.017798902466893196,
0.12872184813022614,
0.08036761730909348,
0.06113820895552635,
-0.04975933954119682,
-0.058204397559165955,
0.028467806056141853,
0.04152611270546913,
-0.06408087909221649,
-0.06902183592319489,
0.10592702776193619,
0.04806099086999893,
-0.033101219683885574,
-0.02588433213531971,
0.0520767979323864,
-0.0008524875156581402,
0.030179915949702263,
-0.04440416395664215,
-0.017701281234622,
0.06427668035030365,
0.06199907511472702,
0.0952664241194725,
0.016972146928310394,
0.03910444676876068,
0.024709945544600487,
0.006228093523532152,
-0.017000475898385048,
-0.013644003309309483,
0.07829324901103973,
-0.06599713116884232,
0.034687355160713196,
0.04851309582591057,
-0.03451642394065857,
-0.06008782237768173,
-0.04399923235177994,
-0.025972338393330574,
0.07465740293264389,
-0.008151818066835403,
0.08767745643854141,
-0.0126089071854949,
0.04740219563245773,
0.04726557433605194,
0.03446592763066292,
0.0320301279425621,
-0.03963235765695572,
0.016080379486083984,
0.03981504589319229,
0.04953787103295326,
0.03917420655488968,
-0.014046501368284225,
-0.030782081186771393
] | null | null | null | null | null | null | null | [
-0.0875229686498642,
0.0500723235309124,
-0.07409539818763733,
-0.06499733775854111,
-0.007115567568689585,
-0.04484778270125389,
0.012090913951396942,
0.0074241068214178085,
-0.03128238394856453,
0.06433999538421631,
-0.011561022140085697,
0.0778440609574318,
0.06687915325164795,
-0.013413751497864723,
-0.03911319375038147,
0.005207965150475502,
-0.013142257928848267,
0.017839159816503525,
-0.10493272542953491,
-0.10632666200399399,
0.04134528711438179,
-0.021868126466870308,
-0.0484614260494709,
0.07198274880647659,
-0.00956570915877819,
0.06720011681318283,
0.005221910309046507,
-0.04794524982571602,
-0.013697191141545773,
-0.047988612204790115,
0.09427750110626221,
0.018059974536299706,
0.08780204504728317,
0.02633211575448513,
-0.025663387030363083,
0.07030089944601059,
0.005522811319679022,
0.02848532795906067,
0.035052668303251266,
-0.012021924369037151,
-0.004670133348554373,
-0.05188886448740959,
-0.05334169417619705,
0.05043384060263634,
0.06452494114637375,
0.10831419378519058,
-0.0315927192568779,
-0.048675112426280975,
-0.02586188167333603,
-0.0652681291103363,
-0.18943171203136444,
-0.0030776397325098515,
0.009105091914534569,
0.07402066141366959,
0.012017241679131985,
0.062159862369298935,
-0.059214312583208084,
-0.04613034799695015,
-0.015402793884277344,
-0.025495482608675957,
-0.011408272199332714,
-0.0445193275809288,
0.012789586558938026,
0.018253697082400322,
0.07845401763916016,
0.029739931225776672,
0.03720802068710327,
-0.04840150475502014,
0.03994797542691231,
-0.03057846613228321,
0.05156369507312775,
0.08543442189693451,
-0.02746320515871048,
0.13426360487937927,
0.006014987360686064,
-0.0004277987754903734,
-0.018089793622493744,
-0.011381242424249649,
0.053798526525497437,
0.004809063393622637,
-0.0024186098016798496,
0.021374722942709923,
-0.0030447104945778847,
0.050382182002067566,
0.03594990447163582,
-0.06218035891652107,
-0.024452218785881996,
0.038622256368398666,
-0.044568970799446106,
-0.03614785894751549,
-0.013921501114964485,
-0.06229832395911217,
0.040787819772958755,
-0.06728924810886383,
-0.013818739913403988,
0.0373801663517952,
0.00040498367161490023,
-0.05140808969736099,
0.04341507703065872,
0.054539754986763,
0.002325579756870866,
0.05190322548151016,
0.007087729871273041,
-0.023416537791490555,
-0.0064065721817314625,
-0.1494709700345993,
0.010513555258512497,
0.07644951343536377,
0.05217687040567398,
-0.04771437868475914,
0.013117714785039425,
-0.0018851892091333866,
0.0007389425882138312,
-0.04007335379719734,
-0.0089761633425951,
-0.04382425174117088,
-0.03007747419178486,
0.11342703551054001,
0.018989797681570053,
0.036388058215379715,
0.010119673795998096,
-0.010194665752351284,
-0.06388570368289948,
0.034938909113407135,
0.048413604497909546,
-0.07689230889081955,
-0.10571140050888062,
5.475615694135896e-35,
-0.04303739592432976,
-0.002963990904390812,
0.05803454667329788,
0.038640327751636505,
-0.046070586889982224,
-0.031477704644203186,
-0.06451059132814407,
-0.043767187744379044,
0.0021711434237658978,
0.07674115151166916,
-0.05678754672408104,
0.051736291497945786,
0.04290865734219551,
0.10045349597930908,
0.024271169677376747,
-0.04218149930238724,
-0.031827013939619064,
0.021168794482946396,
-0.03426486626267433,
-0.03804440423846245,
0.05548893287777901,
-0.024708636105060577,
0.013018623925745487,
-0.01600063405930996,
0.023635968565940857,
0.018895715475082397,
0.017306704074144363,
-0.07666792720556259,
0.05288403481245041,
0.006934741977602243,
-0.04577203840017319,
0.03491661697626114,
-0.0755055770277977,
0.027277108281850815,
0.10555976629257202,
-0.050293438136577606,
0.006146399304270744,
-0.06953555345535278,
0.017403816804289818,
0.020710917189717293,
0.011625382117927074,
0.055310241878032684,
0.008763778023421764,
-0.045423272997140884,
-0.02985161542892456,
0.034184977412223816,
0.10613711923360825,
0.026477297767996788,
0.01289735920727253,
-0.06815429031848907,
0.054184529930353165,
-0.021273449063301086,
-0.0014044491108506918,
0.019904639571905136,
0.004182285629212856,
0.09173331409692764,
0.022533271461725235,
-0.0358455590903759,
0.10894225537776947,
0.07122848927974701,
-0.08300118893384933,
-0.013010886497795582,
0.008013362996280193,
0.07181209325790405,
0.06335999071598053,
-0.04656265676021576,
-0.04248519614338875,
0.00834368821233511,
0.055727723985910416,
-0.011357446201145649,
0.008562466129660606,
-0.0435279980301857,
0.031638238579034805,
-0.03655295446515083,
0.01997174136340618,
0.02259966917335987,
0.014101524837315083,
-0.04399348795413971,
-0.12868262827396393,
0.011313267052173615,
-0.08550190180540085,
-0.06287381798028946,
-0.02353367768228054,
-0.05372689664363861,
0.023564085364341736,
-0.03851589187979698,
0.0024504289031028748,
-0.05191705748438835,
-0.0868796780705452,
-0.0431322380900383,
-0.030420051887631416,
-0.026820899918675423,
-0.011966587975621223,
-0.06038971617817879,
-0.07589419931173325,
-5.715184197898363e-34,
-0.0372149758040905,
-0.02879335545003414,
-0.055837783962488174,
0.05940525606274605,
0.028357891365885735,
0.01929287239909172,
0.016724517568945885,
-0.04112353175878525,
-0.06501812487840652,
-0.01994786225259304,
-0.047728970646858215,
-0.01216293778270483,
0.03119487315416336,
-0.03830333426594734,
-0.036818671971559525,
0.10523147881031036,
-0.03674749284982681,
0.011094413697719574,
-0.03738930821418762,
0.028478646650910378,
-0.07337051630020142,
0.08732561022043228,
-0.05942491814494133,
-0.013657155446708202,
0.02286376804113388,
0.08459911495447159,
-0.09504036605358124,
0.06981825828552246,
0.07845394313335419,
0.11047844588756561,
-0.04697740823030472,
-0.06059037148952484,
-0.05750318616628647,
0.0039059522096067667,
-0.0323900505900383,
-0.03071771003305912,
0.042207930237054825,
-0.002403834369033575,
0.021939082071185112,
-0.008284728974103928,
0.02203419990837574,
0.04975591227412224,
-0.09300157427787781,
-0.05419990047812462,
0.09877845644950867,
-0.012426795437932014,
-0.04467270150780678,
0.09518410265445709,
-0.02170206792652607,
0.052095040678977966,
0.03613560274243355,
0.07259897887706757,
-0.05981172248721123,
-0.06021978333592415,
0.0225532129406929,
-0.006513592321425676,
-0.09958323836326599,
0.0074016619473695755,
-0.020192567259073257,
-0.016354750841856003,
-0.03030945546925068,
-0.05140611156821251,
0.080705925822258,
0.0758747011423111,
0.010521259158849716,
0.033416908234357834,
0.03179484233260155,
0.003076225519180298,
-0.04125167429447174,
-0.0682285726070404,
-0.011781597509980202,
-0.05853039398789406,
0.01574215292930603,
0.037518709897994995,
0.011730059050023556,
-0.0033817565999925137,
-0.021666761487722397,
0.02019827999174595,
0.001881347387097776,
0.08266812562942505,
-0.005102331284433603,
-0.033245548605918884,
0.04544942080974579,
0.08774209767580032,
0.03331843391060829,
0.022137770429253578,
0.01535314042121172,
0.002127045067027211,
0.01977669447660446,
-0.06403254717588425,
-0.04569584131240845,
0.07074419409036636,
0.015543214045464993,
0.056020088493824005,
-0.04161542281508446,
-5.259028057480464e-8,
0.007420907728374004,
-0.050260670483112335,
0.06075309216976166,
-0.04417593404650688,
0.08014139533042908,
-0.06482274830341339,
0.0012237172340974212,
0.07189731299877167,
0.00590630853548646,
-0.053054049611091614,
0.061606451869010925,
-0.06491316854953766,
-0.07665226608514786,
0.017798902466893196,
0.12872184813022614,
0.08036761730909348,
0.06113820895552635,
-0.04975933954119682,
-0.058204397559165955,
0.028467806056141853,
0.04152611270546913,
-0.06408087909221649,
-0.06902183592319489,
0.10592702776193619,
0.04806099086999893,
-0.033101219683885574,
-0.02588433213531971,
0.0520767979323864,
-0.0008524875156581402,
0.030179915949702263,
-0.04440416395664215,
-0.017701281234622,
0.06427668035030365,
0.06199907511472702,
0.0952664241194725,
0.016972146928310394,
0.03910444676876068,
0.024709945544600487,
0.006228093523532152,
-0.017000475898385048,
-0.013644003309309483,
0.07829324901103973,
-0.06599713116884232,
0.034687355160713196,
0.04851309582591057,
-0.03451642394065857,
-0.06008782237768173,
-0.04399923235177994,
-0.025972338393330574,
0.07465740293264389,
-0.008151818066835403,
0.08767745643854141,
-0.0126089071854949,
0.04740219563245773,
0.04726557433605194,
0.03446592763066292,
0.0320301279425621,
-0.03963235765695572,
0.016080379486083984,
0.03981504589319229,
0.04953787103295326,
0.03917420655488968,
-0.014046501368284225,
-0.030782081186771393
] |
1401.1671 | S.M. Zafaruddin | Oshri Naparstek, S. M. Zafaruddin, Amir Leshem, Eduard Jorswieck | Distributed Energy Efficient Channel Allocation | 12 pages, 7 figures, 3 Tables. This work has been submitted to the
IEEE for possible publication | null | null | null | cs.NI cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Design of energy efficient protocols for modern wireless systems has become
an important area of research. In this paper, we propose a distributed
optimization algorithm for the channel assignment problem for multiple
interfering transceiver pairs that cannot communicate with each other. We first
modify the auction algorithm for maximal energy efficiency and show that the
problem can be solved without explicit message passing using the carrier sense
multiple access (CSMA) protocols. We then develop a novel scheme by converting
the channel assignment problem into perfect matchings on bipartite graphs. The
proposed scheme improves the energy efficiency and does not require any
explicit message passing or a shared memory between the users. We derive bounds
on the convergence rate and show that the proposed algorithm converges faster
than the distributed auction algorithm and achieves near-optimal performance
under Rayleigh fading channels. We also present an asymptotic performance
analysis of the fast matching algorithm for energy efficient resource
allocation and prove the optimality for large enough number of users and number
of channels. Finally, we provide numerical assessments that confirm the energy
efficiency gains compared to the state of the art.
| [
{
"created": "Wed, 8 Jan 2014 11:38:48 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Feb 2018 11:50:39 GMT",
"version": "v2"
}
] | 2018-02-16 | [
[
"Naparstek",
"Oshri",
""
],
[
"Zafaruddin",
"S. M.",
""
],
[
"Leshem",
"Amir",
""
],
[
"Jorswieck",
"Eduard",
""
]
] | [
0.007978838868439198,
0.03880859166383743,
-0.028005795553326607,
0.015714578330516815,
-0.03907934948801994,
-0.05198809504508972,
0.04633554071187973,
-0.06443879008293152,
-0.007057597395032644,
0.020859353244304657,
-0.11287163943052292,
0.05268469080328941,
0.10215892642736435,
0.021480370312929153,
0.0034816155675798655,
0.050023842602968216,
0.12023270130157471,
0.00008700677426531911,
-0.047669652849435806,
0.001284118159674108,
0.050306905061006546,
-0.0008827678975649178,
-0.016747236251831055,
-0.023336853832006454,
0.07264631241559982,
-0.0747358426451683,
0.043005526065826416,
-0.007600265089422464,
-0.01982448808848858,
0.047124233096838,
-0.04620752111077309,
-0.03806207329034805,
-0.015064631588757038,
-0.005156226921826601,
-0.04583213850855827,
-0.010908205062150955,
-0.07924145460128784,
0.0036837535444647074,
0.05076893791556358,
0.1183781623840332,
-0.0870947539806366,
-0.013875565491616726,
-0.08937662839889526,
0.03327016532421112,
-0.06367840617895126,
0.007013695780187845,
0.0008832584717310965,
0.06802259385585785,
0.01979343220591545,
-0.0014021008973941207,
0.11303892731666565,
-0.009022718295454979,
-0.06357470154762268,
0.1074908897280693,
0.013621608726680279,
-0.07873691618442535,
-0.055092573165893555,
-0.011782803572714329,
0.032178305089473724,
0.11414419114589691,
0.01211444940418005,
-0.053272705525159836,
-0.0028825083281844854,
0.014826411381363869,
-0.0003478455182630569,
-0.043146707117557526,
0.005840954836457968,
0.0850488618016243,
-0.048219501972198486,
0.010142320767045021,
-0.040378693491220474,
-0.008605293929576874,
0.013476713560521603,
0.023438511416316032,
0.036221884191036224,
-0.006341073662042618,
0.05470871925354004,
0.02338053099811077,
0.019503457471728325,
0.010029565542936325,
-0.05268218368291855,
-0.01582164876163006,
-0.053273990750312805,
-0.07648731023073196,
0.10417639464139938,
-0.02994684688746929,
-0.020635079592466354,
0.03810345381498337,
0.04072292894124985,
-0.0035776072181761265,
-0.11985260993242264,
0.08917748183012009,
-0.05474433675408363,
0.07391289621591568,
0.10863354057073593,
-0.0012822701828554273,
0.005579348187893629,
-0.02576231211423874,
-0.013163845986127853,
0.05001316964626312,
-0.010975993238389492,
0.043745819479227066,
0.02760283835232258,
-0.039578888565301895,
-0.002546507865190506,
-0.029863843694329262,
-0.04522265866398811,
0.0861692726612091,
0.06173412874341011,
-0.010410292074084282,
0.024982845410704613,
0.03957764804363251,
-0.007885497994720936,
0.07739004492759705,
-0.0962325781583786,
0.08116722851991653,
0.046318426728248596,
0.05161912366747856,
-0.004836321342736483,
0.04417510703206062,
-0.03476274013519287,
-0.07618914544582367,
0.08886115998029709,
-0.021754266694188118,
0.000028836402634624392,
0.02188151329755783,
-0.019204523414373398,
3.198857624035825e-34,
-0.05819214507937431,
0.07392179220914841,
-0.04906374216079712,
-0.05699078366160393,
0.01349062379449606,
0.015026528388261795,
0.0187920443713665,
0.015139725990593433,
-0.0815233588218689,
-0.05050570145249367,
-0.032459668815135956,
0.03643510490655899,
-0.0005107353790663183,
0.016254527494311333,
0.030816275626420975,
-0.05990271270275116,
-0.009358496405184269,
-0.00677899457514286,
0.024732215330004692,
-0.04316402226686478,
0.10567446798086166,
-0.011681257747113705,
-0.03977607935667038,
0.028770264238119125,
0.015519111417233944,
0.03578859567642212,
-0.01529022864997387,
-0.06746745109558105,
0.1412622183561325,
0.03507615625858307,
-0.039503950625658035,
-0.00268960976973176,
0.0863310769200325,
0.0340057909488678,
0.01492217369377613,
0.0068555730395019054,
0.02746063470840454,
-0.035788681358098984,
0.005558996926993132,
-0.05939145013689995,
-0.019571086391806602,
0.0010982353705912828,
-0.024370770901441574,
-0.09230821579694748,
-0.05509490147233009,
-0.08280937373638153,
-0.010473300702869892,
0.033270902931690216,
-0.03465874493122101,
-0.012826205231249332,
0.00168174400459975,
0.016149692237377167,
-0.05362137407064438,
0.016294684261083603,
0.043806351721286774,
-0.11485765874385834,
0.017592599615454674,
0.05401875078678131,
0.012057819403707981,
0.09598381817340851,
-0.05868611857295036,
0.0030817703809589148,
0.05278989300131798,
0.0037375465035438538,
-0.001969902776181698,
-0.07921934872865677,
-0.006161831319332123,
-0.025188956409692764,
0.0006932924152351916,
-0.042187608778476715,
0.00860074907541275,
-0.0215583648532629,
-0.005229992792010307,
-0.04590437561273575,
-0.052676327526569366,
0.0007505330722779036,
0.07438896596431732,
0.06808298826217651,
-0.09290750324726105,
0.0032029771246016026,
-0.09143076092004776,
0.05275392159819603,
-0.010747741907835007,
-0.05580577626824379,
-0.016015728935599327,
-0.0639071986079216,
-0.042575638741254807,
-0.007423467002809048,
-0.059296075254678726,
0.007943704724311829,
-0.03054404817521572,
0.06928110867738724,
-0.03660084679722786,
0.014311513863503933,
0.05014709755778313,
-1.7386848982317767e-33,
-0.013201030902564526,
0.013928125612437725,
0.04089561477303505,
0.02324475347995758,
0.016404980793595314,
-0.0979982241988182,
-0.02256924845278263,
-0.13774652779102325,
-0.05577969178557396,
-0.006123513448983431,
-0.06098178029060364,
-0.024139150977134705,
0.013240449130535126,
-0.01056204829365015,
-0.0015383320860564709,
-0.047715891152620316,
0.055126581341028214,
0.07159806787967682,
-0.034104492515325546,
-0.02771153673529625,
0.023329418152570724,
0.1454189419746399,
0.000056330700317630544,
0.0032529395539313555,
0.052196819335222244,
0.01218439918011427,
0.007705635391175747,
-0.03769658878445625,
0.004252634011209011,
0.011668894439935684,
-0.05995216220617294,
-0.04454406723380089,
6.820975499977067e-7,
-0.07549473643302917,
0.040492258965969086,
0.0604565255343914,
0.0397687666118145,
0.13362093269824982,
-0.04522274434566498,
0.0877375677227974,
0.10760795325040817,
-0.019231993705034256,
-0.04818844050168991,
0.027919147163629532,
0.015899885445833206,
0.0049812099896371365,
-0.022306840866804123,
-0.015458120964467525,
-0.028641924262046814,
0.024182453751564026,
0.15056517720222473,
-0.027615852653980255,
0.017490297555923462,
-0.03795163333415985,
-0.05017194151878357,
-0.04193096235394478,
0.015034417621791363,
0.08379189670085907,
0.05780474469065666,
-0.03226423263549805,
0.07473701238632202,
-0.027287323027849197,
0.014605076052248478,
0.09057541936635971,
0.0027725878171622753,
-0.01970953866839409,
0.02587919682264328,
0.019508028402924538,
-0.00653377640992403,
0.030291538685560226,
-0.08090519160032272,
-0.036812569946050644,
-0.03567182645201683,
0.005104479845613241,
0.039743226021528244,
0.08051906526088715,
-0.0022656889632344246,
0.05037463828921318,
-0.0739080011844635,
0.05526716262102127,
-0.11491382867097855,
0.14780545234680176,
0.033468522131443024,
-0.013997109606862068,
0.0010648912284523249,
-0.012434042058885098,
0.03670681267976761,
-0.028792310506105423,
-0.059853821992874146,
-0.035922493785619736,
-0.01958414353430271,
-0.010424078442156315,
0.029298415407538414,
-0.04693633317947388,
-0.07237464934587479,
-4.792719110469079e-8,
-0.07687684893608093,
-0.010378019884228706,
0.01583475060760975,
-0.06753558665513992,
-0.029757270589470863,
-0.04031430184841156,
-0.001875122427009046,
0.03774157539010048,
0.026354355737566948,
0.03080318495631218,
0.052724745124578476,
0.04893014207482338,
0.037396229803562164,
0.025978051126003265,
-0.03611784428358078,
-0.007587405852973461,
-0.08919449150562286,
-0.09411446750164032,
0.016129158437252045,
-0.030903443694114685,
-0.05596006289124489,
0.00591115141287446,
0.008097724057734013,
0.061668042093515396,
0.0038286782801151276,
0.0399298220872879,
0.025211753323674202,
-0.0183951947838068,
0.06498892605304718,
-0.038936566561460495,
-0.10490357130765915,
-0.023240962997078896,
0.05483028665184975,
-0.009344998747110367,
-0.022019769996404648,
-0.008876975625753403,
-0.04383812099695206,
0.019771158695220947,
-0.06506586819887161,
0.05654822662472725,
0.06786850839853287,
-0.052389852702617645,
0.039322011172771454,
0.02669309638440609,
0.06138879060745239,
0.03144943714141846,
-0.02306715026497841,
0.09143062680959702,
0.020833443850278854,
-0.003162654582411051,
0.020224805921316147,
0.02673628367483616,
-0.0007483779918402433,
-0.07630499452352524,
-0.00655369320884347,
-0.004470515996217728,
-0.019155997782945633,
-0.04366670921444893,
0.13596419990062714,
-0.05495055392384529,
-0.023139595985412598,
0.03985860198736191,
-0.12262047827243805,
0.01598275639116764
] | null | null | null | null | null | null | null | [
0.007978838868439198,
0.03880859166383743,
-0.028005795553326607,
0.015714578330516815,
-0.03907934948801994,
-0.05198809504508972,
0.04633554071187973,
-0.06443879008293152,
-0.007057597395032644,
0.020859353244304657,
-0.11287163943052292,
0.05268469080328941,
0.10215892642736435,
0.021480370312929153,
0.0034816155675798655,
0.050023842602968216,
0.12023270130157471,
0.00008700677426531911,
-0.047669652849435806,
0.001284118159674108,
0.050306905061006546,
-0.0008827678975649178,
-0.016747236251831055,
-0.023336853832006454,
0.07264631241559982,
-0.0747358426451683,
0.043005526065826416,
-0.007600265089422464,
-0.01982448808848858,
0.047124233096838,
-0.04620752111077309,
-0.03806207329034805,
-0.015064631588757038,
-0.005156226921826601,
-0.04583213850855827,
-0.010908205062150955,
-0.07924145460128784,
0.0036837535444647074,
0.05076893791556358,
0.1183781623840332,
-0.0870947539806366,
-0.013875565491616726,
-0.08937662839889526,
0.03327016532421112,
-0.06367840617895126,
0.007013695780187845,
0.0008832584717310965,
0.06802259385585785,
0.01979343220591545,
-0.0014021008973941207,
0.11303892731666565,
-0.009022718295454979,
-0.06357470154762268,
0.1074908897280693,
0.013621608726680279,
-0.07873691618442535,
-0.055092573165893555,
-0.011782803572714329,
0.032178305089473724,
0.11414419114589691,
0.01211444940418005,
-0.053272705525159836,
-0.0028825083281844854,
0.014826411381363869,
-0.0003478455182630569,
-0.043146707117557526,
0.005840954836457968,
0.0850488618016243,
-0.048219501972198486,
0.010142320767045021,
-0.040378693491220474,
-0.008605293929576874,
0.013476713560521603,
0.023438511416316032,
0.036221884191036224,
-0.006341073662042618,
0.05470871925354004,
0.02338053099811077,
0.019503457471728325,
0.010029565542936325,
-0.05268218368291855,
-0.01582164876163006,
-0.053273990750312805,
-0.07648731023073196,
0.10417639464139938,
-0.02994684688746929,
-0.020635079592466354,
0.03810345381498337,
0.04072292894124985,
-0.0035776072181761265,
-0.11985260993242264,
0.08917748183012009,
-0.05474433675408363,
0.07391289621591568,
0.10863354057073593,
-0.0012822701828554273,
0.005579348187893629,
-0.02576231211423874,
-0.013163845986127853,
0.05001316964626312,
-0.010975993238389492,
0.043745819479227066,
0.02760283835232258,
-0.039578888565301895,
-0.002546507865190506,
-0.029863843694329262,
-0.04522265866398811,
0.0861692726612091,
0.06173412874341011,
-0.010410292074084282,
0.024982845410704613,
0.03957764804363251,
-0.007885497994720936,
0.07739004492759705,
-0.0962325781583786,
0.08116722851991653,
0.046318426728248596,
0.05161912366747856,
-0.004836321342736483,
0.04417510703206062,
-0.03476274013519287,
-0.07618914544582367,
0.08886115998029709,
-0.021754266694188118,
0.000028836402634624392,
0.02188151329755783,
-0.019204523414373398,
3.198857624035825e-34,
-0.05819214507937431,
0.07392179220914841,
-0.04906374216079712,
-0.05699078366160393,
0.01349062379449606,
0.015026528388261795,
0.0187920443713665,
0.015139725990593433,
-0.0815233588218689,
-0.05050570145249367,
-0.032459668815135956,
0.03643510490655899,
-0.0005107353790663183,
0.016254527494311333,
0.030816275626420975,
-0.05990271270275116,
-0.009358496405184269,
-0.00677899457514286,
0.024732215330004692,
-0.04316402226686478,
0.10567446798086166,
-0.011681257747113705,
-0.03977607935667038,
0.028770264238119125,
0.015519111417233944,
0.03578859567642212,
-0.01529022864997387,
-0.06746745109558105,
0.1412622183561325,
0.03507615625858307,
-0.039503950625658035,
-0.00268960976973176,
0.0863310769200325,
0.0340057909488678,
0.01492217369377613,
0.0068555730395019054,
0.02746063470840454,
-0.035788681358098984,
0.005558996926993132,
-0.05939145013689995,
-0.019571086391806602,
0.0010982353705912828,
-0.024370770901441574,
-0.09230821579694748,
-0.05509490147233009,
-0.08280937373638153,
-0.010473300702869892,
0.033270902931690216,
-0.03465874493122101,
-0.012826205231249332,
0.00168174400459975,
0.016149692237377167,
-0.05362137407064438,
0.016294684261083603,
0.043806351721286774,
-0.11485765874385834,
0.017592599615454674,
0.05401875078678131,
0.012057819403707981,
0.09598381817340851,
-0.05868611857295036,
0.0030817703809589148,
0.05278989300131798,
0.0037375465035438538,
-0.001969902776181698,
-0.07921934872865677,
-0.006161831319332123,
-0.025188956409692764,
0.0006932924152351916,
-0.042187608778476715,
0.00860074907541275,
-0.0215583648532629,
-0.005229992792010307,
-0.04590437561273575,
-0.052676327526569366,
0.0007505330722779036,
0.07438896596431732,
0.06808298826217651,
-0.09290750324726105,
0.0032029771246016026,
-0.09143076092004776,
0.05275392159819603,
-0.010747741907835007,
-0.05580577626824379,
-0.016015728935599327,
-0.0639071986079216,
-0.042575638741254807,
-0.007423467002809048,
-0.059296075254678726,
0.007943704724311829,
-0.03054404817521572,
0.06928110867738724,
-0.03660084679722786,
0.014311513863503933,
0.05014709755778313,
-1.7386848982317767e-33,
-0.013201030902564526,
0.013928125612437725,
0.04089561477303505,
0.02324475347995758,
0.016404980793595314,
-0.0979982241988182,
-0.02256924845278263,
-0.13774652779102325,
-0.05577969178557396,
-0.006123513448983431,
-0.06098178029060364,
-0.024139150977134705,
0.013240449130535126,
-0.01056204829365015,
-0.0015383320860564709,
-0.047715891152620316,
0.055126581341028214,
0.07159806787967682,
-0.034104492515325546,
-0.02771153673529625,
0.023329418152570724,
0.1454189419746399,
0.000056330700317630544,
0.0032529395539313555,
0.052196819335222244,
0.01218439918011427,
0.007705635391175747,
-0.03769658878445625,
0.004252634011209011,
0.011668894439935684,
-0.05995216220617294,
-0.04454406723380089,
6.820975499977067e-7,
-0.07549473643302917,
0.040492258965969086,
0.0604565255343914,
0.0397687666118145,
0.13362093269824982,
-0.04522274434566498,
0.0877375677227974,
0.10760795325040817,
-0.019231993705034256,
-0.04818844050168991,
0.027919147163629532,
0.015899885445833206,
0.0049812099896371365,
-0.022306840866804123,
-0.015458120964467525,
-0.028641924262046814,
0.024182453751564026,
0.15056517720222473,
-0.027615852653980255,
0.017490297555923462,
-0.03795163333415985,
-0.05017194151878357,
-0.04193096235394478,
0.015034417621791363,
0.08379189670085907,
0.05780474469065666,
-0.03226423263549805,
0.07473701238632202,
-0.027287323027849197,
0.014605076052248478,
0.09057541936635971,
0.0027725878171622753,
-0.01970953866839409,
0.02587919682264328,
0.019508028402924538,
-0.00653377640992403,
0.030291538685560226,
-0.08090519160032272,
-0.036812569946050644,
-0.03567182645201683,
0.005104479845613241,
0.039743226021528244,
0.08051906526088715,
-0.0022656889632344246,
0.05037463828921318,
-0.0739080011844635,
0.05526716262102127,
-0.11491382867097855,
0.14780545234680176,
0.033468522131443024,
-0.013997109606862068,
0.0010648912284523249,
-0.012434042058885098,
0.03670681267976761,
-0.028792310506105423,
-0.059853821992874146,
-0.035922493785619736,
-0.01958414353430271,
-0.010424078442156315,
0.029298415407538414,
-0.04693633317947388,
-0.07237464934587479,
-4.792719110469079e-8,
-0.07687684893608093,
-0.010378019884228706,
0.01583475060760975,
-0.06753558665513992,
-0.029757270589470863,
-0.04031430184841156,
-0.001875122427009046,
0.03774157539010048,
0.026354355737566948,
0.03080318495631218,
0.052724745124578476,
0.04893014207482338,
0.037396229803562164,
0.025978051126003265,
-0.03611784428358078,
-0.007587405852973461,
-0.08919449150562286,
-0.09411446750164032,
0.016129158437252045,
-0.030903443694114685,
-0.05596006289124489,
0.00591115141287446,
0.008097724057734013,
0.061668042093515396,
0.0038286782801151276,
0.0399298220872879,
0.025211753323674202,
-0.0183951947838068,
0.06498892605304718,
-0.038936566561460495,
-0.10490357130765915,
-0.023240962997078896,
0.05483028665184975,
-0.009344998747110367,
-0.022019769996404648,
-0.008876975625753403,
-0.04383812099695206,
0.019771158695220947,
-0.06506586819887161,
0.05654822662472725,
0.06786850839853287,
-0.052389852702617645,
0.039322011172771454,
0.02669309638440609,
0.06138879060745239,
0.03144943714141846,
-0.02306715026497841,
0.09143062680959702,
0.020833443850278854,
-0.003162654582411051,
0.020224805921316147,
0.02673628367483616,
-0.0007483779918402433,
-0.07630499452352524,
-0.00655369320884347,
-0.004470515996217728,
-0.019155997782945633,
-0.04366670921444893,
0.13596419990062714,
-0.05495055392384529,
-0.023139595985412598,
0.03985860198736191,
-0.12262047827243805,
0.01598275639116764
] |
1401.1676 | Bengt Eliasson | Bengt Eliasson | Ion shock acceleration by large amplitude double layers in
laser-produced plasmas | 9 pages, 4 figures | Physics of Plasmas 21, 023111 (2014) | 10.1063/1.4866240 | null | physics.plasm-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A kinetic model for the shock acceleration of ions in laser-produced plasmas
is developed. A fraction of the warm ions are accelerated by the large
amplitude monotonic potential of the double layer created due the plasma
compression and electron heating by the laser. It is found that the amplitude
of the large amplitude double layer is almost uniquely defined by the electron
temperature. Therefore, a balance between electron heating and plasma
compression is needed for optimal ion acceleration by this scheme. Typical Mach
numbers of the monotonic shocks are close to 1.5. The scheme could potentially
produce monoenergetic ions with a relative energy spread of less than 1
percent. The model is compared with recent simulations and experiments, where
efficient shocks acceleration and production of monoenergetic protons have been
observed. Similarities and differences with other shock models are pointed out
and discussed.
| [
{
"created": "Wed, 8 Jan 2014 12:07:01 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2014 14:34:32 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Feb 2014 17:09:08 GMT",
"version": "v3"
}
] | 2014-02-24 | [
[
"Eliasson",
"Bengt",
""
]
] | [
-0.06263994425535202,
-0.015006322413682938,
0.07107561826705933,
0.024603262543678284,
-0.08730136603116989,
-0.043101195245981216,
0.01472866628319025,
0.06793312728404999,
-0.011231772601604462,
0.00021417232346720994,
0.035315848886966705,
-0.045060694217681885,
0.07046433538198471,
-0.020413504913449287,
0.005137355998158455,
-0.07697683572769165,
0.03663960099220276,
0.044154129922389984,
-0.0510016568005085,
0.009344507940113544,
0.023574860766530037,
-0.08138926327228546,
0.0163271501660347,
-0.007697917055338621,
0.07036558538675308,
0.014727400615811348,
-0.02715618908405304,
0.08430600166320801,
-0.011421537026762962,
0.0140924584120512,
0.036123670637607574,
-0.14543725550174713,
-0.03730536997318268,
0.0743030235171318,
0.02208562381565571,
0.0002113116206601262,
-0.09309179335832596,
0.05509225279092789,
-0.04588533192873001,
0.07857739180326462,
-0.025368591770529747,
-0.03508631885051727,
-0.012251222506165504,
0.030312927439808846,
0.02009672485291958,
-0.017990125343203545,
0.04304451122879982,
-0.11451950669288635,
-0.029452532529830933,
0.0299826730042696,
0.009437723085284233,
0.06930303573608398,
-0.0010809643426910043,
-0.03936828672885895,
-0.0387258343398571,
0.034492362290620804,
0.008394691161811352,
0.011190849356353283,
-0.023782839998602867,
-0.04290449991822243,
-0.05458328500390053,
-0.018107444047927856,
0.024294646456837654,
0.015351616777479649,
0.032729100435972214,
-0.00667898915708065,
0.028180917724967003,
0.020570706576108932,
0.04813128709793091,
0.020284300670027733,
0.015776285901665688,
0.023705456405878067,
-0.0007138154469430447,
-0.09681954979896545,
-0.08090022951364517,
-0.10738860070705414,
0.029875557869672775,
0.04130156338214874,
-0.028923723846673965,
0.020277269184589386,
0.0405842661857605,
-0.02289484068751335,
-0.0725034847855568,
-0.0692572146654129,
-0.12274839729070663,
0.06986148655414581,
0.04093720763921738,
-0.02154283970594406,
0.03753484785556793,
0.01675892248749733,
0.008839458227157593,
0.031314391642808914,
0.08050338923931122,
-0.018169131129980087,
0.024378502741456032,
0.07853202521800995,
0.017833398655056953,
-0.0570489801466465,
0.019373906776309013,
-0.004700458608567715,
0.020902717486023903,
0.023452503606677055,
0.0032938853837549686,
0.09264496713876724,
-0.00403829850256443,
-0.0414685495197773,
-0.04127785190939903,
0.08550039678812027,
-0.06180691346526146,
0.10983945429325104,
0.09954261779785156,
-0.0548408143222332,
-0.04677281156182289,
-0.1081341803073883,
0.07502950727939606,
0.08103779703378677,
-0.012586546130478382,
-0.03246259316802025,
-0.012740264646708965,
-0.02581598423421383,
-0.01563848741352558,
-0.029288502410054207,
0.021555891260504723,
0.05085182189941406,
0.006816416513174772,
0.05233369767665863,
-0.022828105837106705,
1.1602448370965127e-34,
0.0521002821624279,
0.05885089561343193,
-0.010975023731589317,
-0.06361529976129532,
-0.06059057638049126,
-0.01930033043026924,
-0.011032088659703732,
0.08488436043262482,
-0.10564327239990234,
-0.020093070343136787,
-0.019852083176374435,
0.013149227946996689,
0.015272443182766438,
0.07551620900630951,
-0.05672266706824303,
-0.04056026414036751,
0.060376957058906555,
0.05095420777797699,
-0.009871402755379677,
0.06202516704797745,
-0.017895296216011047,
-0.03763215243816376,
0.01857650652527809,
0.07863496243953705,
-0.048048462718725204,
0.08974985033273697,
-0.044407837092876434,
-0.015717443078756332,
-0.01711263135075569,
-0.008963572792708874,
-0.03307076543569565,
0.03709615767002106,
-0.053977176547050476,
-0.055200617760419846,
-0.057774726301431656,
0.011621825397014618,
-0.09053053706884384,
0.032303448766469955,
0.05381534993648529,
-0.0007037518080323935,
-0.01306553091853857,
0.015475375577807426,
0.0023652499075978994,
-0.06038551405072212,
0.04429345577955246,
-0.009149208664894104,
-0.042588189244270325,
-0.02544642612338066,
-0.03615892305970192,
-0.022852392867207527,
0.010359848849475384,
0.06404074281454086,
0.05893223360180855,
0.040879420936107635,
0.0709071010351181,
0.04039429873228073,
0.08572588115930557,
0.05344132333993912,
0.03352254256606102,
0.05471225827932358,
0.00872254092246294,
0.01640484482049942,
0.04165957495570183,
0.018821490928530693,
-0.04332836717367172,
0.09210655838251114,
-0.04581417515873909,
0.09618258476257324,
0.007221650797873735,
0.05255294591188431,
-0.020212288945913315,
0.03660164773464203,
0.018792016431689262,
-0.05286324396729469,
0.03575075790286064,
0.058654312044382095,
-0.04575484246015549,
0.031942788511514664,
-0.029766354709863663,
-0.010129990987479687,
-0.014351453632116318,
-0.044781167060136795,
0.06871121376752853,
0.011374350637197495,
0.025300323963165283,
-0.0349506251513958,
-0.03845696151256561,
-0.014684641733765602,
-0.006685065571218729,
0.015693524852395058,
-0.0005106898606754839,
0.007137040141969919,
0.031024599447846413,
-0.046447329223155975,
-0.040727000683546066,
-2.5519723380252696e-33,
0.12064614146947861,
0.07570761442184448,
-0.11618279665708542,
0.013933553360402584,
-0.023643342778086662,
0.052704039961099625,
0.03670790418982506,
0.058800604194402695,
-0.1709725558757782,
0.0021411890629678965,
0.008731167763471603,
-0.03458721563220024,
-0.08998414129018784,
-0.0509578175842762,
-0.012438605539500713,
-0.04034391790628433,
0.0053842212073504925,
0.0910211056470871,
0.05284886807203293,
-0.011607682332396507,
0.032593343406915665,
0.015551293268799782,
0.012543410062789917,
-0.005929306615144014,
0.11583615839481354,
-0.07810863107442856,
0.003764387685805559,
-0.03513636440038681,
-0.015026597306132317,
0.0033256046008318663,
-0.021736405789852142,
0.051569923758506775,
-0.038633082062006,
0.024006953462958336,
-0.036354221403598785,
0.03858228400349617,
-0.0679352656006813,
0.0200735442340374,
0.06635651737451553,
-0.06077040731906891,
-0.040683142840862274,
0.03046557679772377,
0.04898267611861229,
0.053734153509140015,
0.032242219895124435,
0.005716040730476379,
-0.0014077206142246723,
-0.013863302767276764,
0.10144028067588806,
-0.04492522031068802,
-0.054179418832063675,
-0.06779429316520691,
-0.026871321722865105,
0.04859880730509758,
-0.0036690186243504286,
0.022144971415400505,
0.026309065520763397,
0.0008379193604923785,
0.008748252876102924,
-0.07479716837406158,
-0.09279894828796387,
-0.09310711920261383,
0.07423822581768036,
-0.05310314521193504,
-0.0712246298789978,
-0.09066630899906158,
-0.05818100646138191,
-0.006084322463721037,
-0.015496171079576015,
-0.12442602217197418,
0.07761552184820175,
0.018282128497958183,
0.08921407163143158,
-0.03969410061836243,
-0.05491744726896286,
-0.004210488870739937,
0.041154880076646805,
0.012816479429602623,
0.0036926716566085815,
0.002062209416180849,
-0.03360695391893387,
0.08494109660387039,
-0.012326491065323353,
-0.07698297500610352,
0.015084030106663704,
-0.06379282474517822,
0.003391842357814312,
-0.019047636538743973,
-0.060147009789943695,
-0.017249368131160736,
-0.006855036597698927,
-0.028722085058689117,
0.09190904349088669,
-0.031497299671173096,
0.008066360838711262,
-4.2910375697147174e-8,
0.03641950711607933,
-0.001785786240361631,
-0.024183209985494614,
0.05466603860259056,
0.05670803040266037,
0.10478240251541138,
-0.0676378607749939,
-0.01854291372001171,
0.0306131299585104,
-0.07714894413948059,
0.05319298431277275,
-0.01998111978173256,
0.062412675470113754,
0.12382373958826065,
-0.04412057250738144,
0.03080061450600624,
0.047361161559820175,
0.015523362904787064,
-0.03837814927101135,
-0.013713645748794079,
-0.03694635629653931,
-0.0010390614625066519,
-0.0025617594365030527,
-0.015967996791005135,
-0.05963433161377907,
0.032985348254442215,
-0.00993093941360712,
-0.04042322561144829,
-0.005043830722570419,
-0.08829306811094284,
-0.14791253209114075,
-0.06997187435626984,
0.014601649716496468,
-0.008773582056164742,
0.03628551959991455,
0.022786445915699005,
-0.029635490849614143,
0.0478893406689167,
0.033309802412986755,
-0.03592122718691826,
-0.055744003504514694,
-0.07067681849002838,
0.013658198527991772,
-0.0034076115116477013,
0.016766048967838287,
0.07574059814214706,
-0.07476856559515,
-0.05866476893424988,
-0.06520725786685944,
0.10782906413078308,
0.016726836562156677,
0.03906966745853424,
0.015515703707933426,
-0.02238830365240574,
0.0026472611352801323,
0.06011576950550079,
-0.06621972471475601,
-0.04733888432383537,
0.022630691528320312,
-0.007630024570971727,
0.127439484000206,
-0.059657659381628036,
-0.008199899457395077,
-0.013397104106843472
] | null | null | null | null | null | null | null | [
-0.06263994425535202,
-0.015006322413682938,
0.07107561826705933,
0.024603262543678284,
-0.08730136603116989,
-0.043101195245981216,
0.01472866628319025,
0.06793312728404999,
-0.011231772601604462,
0.00021417232346720994,
0.035315848886966705,
-0.045060694217681885,
0.07046433538198471,
-0.020413504913449287,
0.005137355998158455,
-0.07697683572769165,
0.03663960099220276,
0.044154129922389984,
-0.0510016568005085,
0.009344507940113544,
0.023574860766530037,
-0.08138926327228546,
0.0163271501660347,
-0.007697917055338621,
0.07036558538675308,
0.014727400615811348,
-0.02715618908405304,
0.08430600166320801,
-0.011421537026762962,
0.0140924584120512,
0.036123670637607574,
-0.14543725550174713,
-0.03730536997318268,
0.0743030235171318,
0.02208562381565571,
0.0002113116206601262,
-0.09309179335832596,
0.05509225279092789,
-0.04588533192873001,
0.07857739180326462,
-0.025368591770529747,
-0.03508631885051727,
-0.012251222506165504,
0.030312927439808846,
0.02009672485291958,
-0.017990125343203545,
0.04304451122879982,
-0.11451950669288635,
-0.029452532529830933,
0.0299826730042696,
0.009437723085284233,
0.06930303573608398,
-0.0010809643426910043,
-0.03936828672885895,
-0.0387258343398571,
0.034492362290620804,
0.008394691161811352,
0.011190849356353283,
-0.023782839998602867,
-0.04290449991822243,
-0.05458328500390053,
-0.018107444047927856,
0.024294646456837654,
0.015351616777479649,
0.032729100435972214,
-0.00667898915708065,
0.028180917724967003,
0.020570706576108932,
0.04813128709793091,
0.020284300670027733,
0.015776285901665688,
0.023705456405878067,
-0.0007138154469430447,
-0.09681954979896545,
-0.08090022951364517,
-0.10738860070705414,
0.029875557869672775,
0.04130156338214874,
-0.028923723846673965,
0.020277269184589386,
0.0405842661857605,
-0.02289484068751335,
-0.0725034847855568,
-0.0692572146654129,
-0.12274839729070663,
0.06986148655414581,
0.04093720763921738,
-0.02154283970594406,
0.03753484785556793,
0.01675892248749733,
0.008839458227157593,
0.031314391642808914,
0.08050338923931122,
-0.018169131129980087,
0.024378502741456032,
0.07853202521800995,
0.017833398655056953,
-0.0570489801466465,
0.019373906776309013,
-0.004700458608567715,
0.020902717486023903,
0.023452503606677055,
0.0032938853837549686,
0.09264496713876724,
-0.00403829850256443,
-0.0414685495197773,
-0.04127785190939903,
0.08550039678812027,
-0.06180691346526146,
0.10983945429325104,
0.09954261779785156,
-0.0548408143222332,
-0.04677281156182289,
-0.1081341803073883,
0.07502950727939606,
0.08103779703378677,
-0.012586546130478382,
-0.03246259316802025,
-0.012740264646708965,
-0.02581598423421383,
-0.01563848741352558,
-0.029288502410054207,
0.021555891260504723,
0.05085182189941406,
0.006816416513174772,
0.05233369767665863,
-0.022828105837106705,
1.1602448370965127e-34,
0.0521002821624279,
0.05885089561343193,
-0.010975023731589317,
-0.06361529976129532,
-0.06059057638049126,
-0.01930033043026924,
-0.011032088659703732,
0.08488436043262482,
-0.10564327239990234,
-0.020093070343136787,
-0.019852083176374435,
0.013149227946996689,
0.015272443182766438,
0.07551620900630951,
-0.05672266706824303,
-0.04056026414036751,
0.060376957058906555,
0.05095420777797699,
-0.009871402755379677,
0.06202516704797745,
-0.017895296216011047,
-0.03763215243816376,
0.01857650652527809,
0.07863496243953705,
-0.048048462718725204,
0.08974985033273697,
-0.044407837092876434,
-0.015717443078756332,
-0.01711263135075569,
-0.008963572792708874,
-0.03307076543569565,
0.03709615767002106,
-0.053977176547050476,
-0.055200617760419846,
-0.057774726301431656,
0.011621825397014618,
-0.09053053706884384,
0.032303448766469955,
0.05381534993648529,
-0.0007037518080323935,
-0.01306553091853857,
0.015475375577807426,
0.0023652499075978994,
-0.06038551405072212,
0.04429345577955246,
-0.009149208664894104,
-0.042588189244270325,
-0.02544642612338066,
-0.03615892305970192,
-0.022852392867207527,
0.010359848849475384,
0.06404074281454086,
0.05893223360180855,
0.040879420936107635,
0.0709071010351181,
0.04039429873228073,
0.08572588115930557,
0.05344132333993912,
0.03352254256606102,
0.05471225827932358,
0.00872254092246294,
0.01640484482049942,
0.04165957495570183,
0.018821490928530693,
-0.04332836717367172,
0.09210655838251114,
-0.04581417515873909,
0.09618258476257324,
0.007221650797873735,
0.05255294591188431,
-0.020212288945913315,
0.03660164773464203,
0.018792016431689262,
-0.05286324396729469,
0.03575075790286064,
0.058654312044382095,
-0.04575484246015549,
0.031942788511514664,
-0.029766354709863663,
-0.010129990987479687,
-0.014351453632116318,
-0.044781167060136795,
0.06871121376752853,
0.011374350637197495,
0.025300323963165283,
-0.0349506251513958,
-0.03845696151256561,
-0.014684641733765602,
-0.006685065571218729,
0.015693524852395058,
-0.0005106898606754839,
0.007137040141969919,
0.031024599447846413,
-0.046447329223155975,
-0.040727000683546066,
-2.5519723380252696e-33,
0.12064614146947861,
0.07570761442184448,
-0.11618279665708542,
0.013933553360402584,
-0.023643342778086662,
0.052704039961099625,
0.03670790418982506,
0.058800604194402695,
-0.1709725558757782,
0.0021411890629678965,
0.008731167763471603,
-0.03458721563220024,
-0.08998414129018784,
-0.0509578175842762,
-0.012438605539500713,
-0.04034391790628433,
0.0053842212073504925,
0.0910211056470871,
0.05284886807203293,
-0.011607682332396507,
0.032593343406915665,
0.015551293268799782,
0.012543410062789917,
-0.005929306615144014,
0.11583615839481354,
-0.07810863107442856,
0.003764387685805559,
-0.03513636440038681,
-0.015026597306132317,
0.0033256046008318663,
-0.021736405789852142,
0.051569923758506775,
-0.038633082062006,
0.024006953462958336,
-0.036354221403598785,
0.03858228400349617,
-0.0679352656006813,
0.0200735442340374,
0.06635651737451553,
-0.06077040731906891,
-0.040683142840862274,
0.03046557679772377,
0.04898267611861229,
0.053734153509140015,
0.032242219895124435,
0.005716040730476379,
-0.0014077206142246723,
-0.013863302767276764,
0.10144028067588806,
-0.04492522031068802,
-0.054179418832063675,
-0.06779429316520691,
-0.026871321722865105,
0.04859880730509758,
-0.0036690186243504286,
0.022144971415400505,
0.026309065520763397,
0.0008379193604923785,
0.008748252876102924,
-0.07479716837406158,
-0.09279894828796387,
-0.09310711920261383,
0.07423822581768036,
-0.05310314521193504,
-0.0712246298789978,
-0.09066630899906158,
-0.05818100646138191,
-0.006084322463721037,
-0.015496171079576015,
-0.12442602217197418,
0.07761552184820175,
0.018282128497958183,
0.08921407163143158,
-0.03969410061836243,
-0.05491744726896286,
-0.004210488870739937,
0.041154880076646805,
0.012816479429602623,
0.0036926716566085815,
0.002062209416180849,
-0.03360695391893387,
0.08494109660387039,
-0.012326491065323353,
-0.07698297500610352,
0.015084030106663704,
-0.06379282474517822,
0.003391842357814312,
-0.019047636538743973,
-0.060147009789943695,
-0.017249368131160736,
-0.006855036597698927,
-0.028722085058689117,
0.09190904349088669,
-0.031497299671173096,
0.008066360838711262,
-4.2910375697147174e-8,
0.03641950711607933,
-0.001785786240361631,
-0.024183209985494614,
0.05466603860259056,
0.05670803040266037,
0.10478240251541138,
-0.0676378607749939,
-0.01854291372001171,
0.0306131299585104,
-0.07714894413948059,
0.05319298431277275,
-0.01998111978173256,
0.062412675470113754,
0.12382373958826065,
-0.04412057250738144,
0.03080061450600624,
0.047361161559820175,
0.015523362904787064,
-0.03837814927101135,
-0.013713645748794079,
-0.03694635629653931,
-0.0010390614625066519,
-0.0025617594365030527,
-0.015967996791005135,
-0.05963433161377907,
0.032985348254442215,
-0.00993093941360712,
-0.04042322561144829,
-0.005043830722570419,
-0.08829306811094284,
-0.14791253209114075,
-0.06997187435626984,
0.014601649716496468,
-0.008773582056164742,
0.03628551959991455,
0.022786445915699005,
-0.029635490849614143,
0.0478893406689167,
0.033309802412986755,
-0.03592122718691826,
-0.055744003504514694,
-0.07067681849002838,
0.013658198527991772,
-0.0034076115116477013,
0.016766048967838287,
0.07574059814214706,
-0.07476856559515,
-0.05866476893424988,
-0.06520725786685944,
0.10782906413078308,
0.016726836562156677,
0.03906966745853424,
0.015515703707933426,
-0.02238830365240574,
0.0026472611352801323,
0.06011576950550079,
-0.06621972471475601,
-0.04733888432383537,
0.022630691528320312,
-0.007630024570971727,
0.127439484000206,
-0.059657659381628036,
-0.008199899457395077,
-0.013397104106843472
] |
1401.1677 | Younes Ra'di | Y. Ra'di, V. S. Asadchy, and S. A. Tretyakov | Tailoring reflections from thin composite metamirrors | 11 pages, 7 figures | null | null | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an effective route to fully control the phase of plane waves
reflected from electrically (optically) thin sheets. This becomes possible
using engineered artificial full-reflection layers (metamirrors) as arrays of
electrically small resonant bi-anisotropic particles. In this scenario, fully
reflecting mirrors do not contain any continuous ground plane, but only arrays
of small particles. Bi-anisotropic omega coupling is required to get asymmetric
response in reflection phase for plane waves incident from the opposite sides
of the composite mirror. It is shown that with this concept one can
independently tailor the phase of electromagnetic waves reflected from both
sides of the mirror array.
| [
{
"created": "Wed, 8 Jan 2014 12:13:35 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Ra'di",
"Y.",
""
],
[
"Asadchy",
"V. S.",
""
],
[
"Tretyakov",
"S. A.",
""
]
] | [
0.035581011325120926,
-0.023918909952044487,
0.05901343747973442,
-0.022936847060918808,
-0.08681388199329376,
-0.026959041133522987,
-0.02382824942469597,
-0.01594797894358635,
-0.04263150691986084,
0.011526313610374928,
-0.02095530927181244,
0.01568443514406681,
-0.06458574533462524,
-0.09052359312772751,
0.06502961367368698,
0.020958764478564262,
0.07762786746025085,
-0.03789574280381203,
0.07541908323764801,
0.10178118944168091,
0.05098263919353485,
-0.055295515805482864,
-0.09486831724643707,
-0.08242949843406677,
-0.04388471320271492,
0.04605953395366669,
0.029018446803092957,
-0.032086651772260666,
-0.06560687720775604,
-0.002118582371622324,
0.08141529560089111,
0.002898810664191842,
-0.08877972513437271,
-0.004571947734802961,
-0.09077468514442444,
-0.056448910385370255,
0.05028562620282173,
-0.02431190200150013,
0.049710389226675034,
-0.06859520077705383,
0.007434035651385784,
-0.008240287192165852,
-0.033706169575452805,
-0.026910101994872093,
-0.0138827720656991,
-0.034235816448926926,
0.07520253211259842,
0.0035705065820366144,
0.0496676079928875,
-0.03703686594963074,
-0.010863055475056171,
-0.0068907355889678,
-0.04019242897629738,
-0.05301308259367943,
0.028001192957162857,
0.02418125979602337,
0.023269562050700188,
0.0013857943704351783,
-0.010642065666615963,
-0.014347069896757603,
0.044332411140203476,
-0.023044591769576073,
0.02095155417919159,
-0.01677894778549671,
-0.01607983186841011,
-0.01660129427909851,
-0.000546892813872546,
0.04190484806895256,
0.03199353814125061,
-0.020607076585292816,
0.015092779882252216,
-0.0026745032519102097,
0.05870091915130615,
-0.018896061927080154,
0.07124848663806915,
0.04419807717204094,
-0.04519461840391159,
0.0006120774196460843,
-0.024229232221841812,
0.06385892629623413,
-0.10669684410095215,
-0.03891950100660324,
-0.01035011000931263,
0.08589603751897812,
-0.05998603254556656,
-0.023384731262922287,
-0.05266377329826355,
-0.0007061735959723592,
-0.02320852316915989,
-0.015462100505828857,
-0.002454375382512808,
0.04021667689085007,
0.045017775148153305,
-0.05310078710317612,
0.08386054635047913,
-0.04218851029872894,
-0.017801299691200256,
-0.03485054895281792,
-0.003367325058206916,
0.0037689218297600746,
0.08544739335775375,
0.029659828171133995,
0.030044544488191605,
0.08402407169342041,
-0.06741932034492493,
-0.008832566440105438,
-0.023255962878465652,
0.0067428164184093475,
-0.07124621421098709,
-0.055438801646232605,
-0.013854188844561577,
0.0009602159261703491,
0.042507801204919815,
-0.07229825109243393,
0.004521387163549662,
-0.010898509994149208,
0.027558816596865654,
0.039668913930654526,
0.019808001816272736,
-0.020601660013198853,
0.04226591810584068,
0.04514578729867935,
0.01871686801314354,
0.0914025828242302,
0.07613428682088852,
0.00785779394209385,
0.05873734876513481,
1.5601502652159108e-33,
0.04158973693847656,
0.12482853978872299,
-0.018079156056046486,
-0.04840483143925667,
-0.0008420030935667455,
0.004586398601531982,
0.1168028712272644,
0.0877448171377182,
0.04037785157561302,
-0.053160130977630615,
0.031753212213516235,
0.02803848125040531,
0.018383119255304337,
0.020148690789937973,
0.04523622617125511,
0.0007361299358308315,
0.042730942368507385,
0.021054375916719437,
0.02148709073662758,
0.013230041600763798,
0.0001476606266805902,
0.012730798684060574,
0.08094827085733414,
-0.03238432854413986,
-0.032454486936330795,
-0.10643450915813446,
-0.022130237892270088,
-0.013224855065345764,
-0.0809556171298027,
0.005957360379397869,
0.018248189240694046,
0.08751263469457626,
0.06631727516651154,
0.04572325572371483,
0.015333722345530987,
-0.03435017913579941,
-0.055528901517391205,
0.04981119558215141,
-0.013220785185694695,
0.05498136207461357,
0.027177710086107254,
0.004304141737520695,
0.04394057020545006,
0.04753047227859497,
0.07430198788642883,
-0.03061717562377453,
-0.06719789654016495,
0.09496571123600006,
0.014098473824560642,
0.015184270218014717,
0.015158859081566334,
-0.12954533100128174,
-0.07786467671394348,
-0.018982207402586937,
0.04518755525350571,
0.02146921120584011,
-0.0287740770727396,
0.01446647010743618,
-0.0645616352558136,
-0.07712721824645996,
0.02580583654344082,
-0.040902137756347656,
0.03340182825922966,
0.0385541133582592,
-0.06009859964251518,
0.002993210917338729,
0.050369661301374435,
0.03540103882551193,
-0.022722609341144562,
-0.006808101665228605,
0.014551559463143349,
0.07079523056745529,
0.0006042669410817325,
-0.008308068849146366,
0.02921069785952568,
-0.01734364777803421,
-0.0006860474240966141,
-0.02488277107477188,
0.058079998940229416,
0.041636183857917786,
-0.05066992715001106,
0.06206139549612999,
-0.09019391983747482,
-0.06872979551553726,
0.008043749257922173,
0.05672753229737282,
0.014245107769966125,
-0.021105406805872917,
-0.045856866985559464,
-0.09540446847677231,
-0.023519840091466904,
-0.004232244566082954,
-0.02716662734746933,
-0.04114975407719612,
-0.04349423572421074,
-3.24463771070608e-33,
0.04167500510811806,
-0.08315160125494003,
-0.02826751209795475,
0.0014469824964180589,
0.027707094326615334,
0.019078336656093597,
0.03296519070863724,
0.0599885955452919,
-0.04522019252181053,
0.09382815659046173,
0.0474000908434391,
0.01012535858899355,
0.020745201036334038,
0.028366658836603165,
-0.13799770176410675,
0.007774242665618658,
0.053058966994285583,
-0.03905835747718811,
0.015001242980360985,
-0.05860878527164459,
0.050331249833106995,
-0.02325400896370411,
0.11706900596618652,
0.09958285093307495,
0.014137479476630688,
-0.031491637229919434,
0.05294425040483475,
-0.02584434486925602,
0.04101214185357094,
0.07141502946615219,
-0.013591480441391468,
0.032993536442518234,
0.085934579372406,
-0.025216951966285706,
0.016355495899915695,
0.07748452574014664,
0.023149613291025162,
-0.045742589980363846,
-0.025154247879981995,
-0.1454281061887741,
-0.01585741713643074,
0.011908312328159809,
-0.05212889984250069,
-0.07072069495916367,
-0.056996170431375504,
-0.05217114835977554,
-0.03875865787267685,
0.08912619948387146,
-0.10853500664234161,
-0.06554436683654785,
-0.05769782140851021,
-0.04854938015341759,
0.02787274681031704,
-0.031081657856702805,
0.0047057317569851875,
-0.039566509425640106,
0.02871597185730934,
0.04792148247361183,
0.0991944745182991,
0.08495983481407166,
-0.06840311735868454,
0.028331762179732323,
0.006271952297538519,
-0.08695302158594131,
-0.004925474990159273,
0.05856473371386528,
0.10828454792499542,
0.001095387153327465,
0.02188994735479355,
-0.006879832129925489,
0.09370268136262894,
0.032233309000730515,
0.05090976133942604,
-0.04407913237810135,
0.05326694995164871,
-0.01009851973503828,
0.06331663578748703,
-0.02635909803211689,
-0.09775173664093018,
0.04676278308033943,
0.014245234429836273,
0.000006162636054796167,
0.006977910175919533,
0.03310658410191536,
-0.021333906799554825,
-0.08034469932317734,
-0.10314685851335526,
0.01905694417655468,
-0.03727387636899948,
0.13750633597373962,
0.05095326900482178,
0.03634440153837204,
0.12119650840759277,
-0.06393048167228699,
0.06920912861824036,
-4.1882110224378266e-8,
0.08597145974636078,
0.07626213878393173,
0.0731862336397171,
-0.04797976091504097,
-0.08193406462669373,
-0.03501862287521362,
-0.03552139922976494,
-0.11637625098228455,
-0.0040840161964297295,
-0.092618428170681,
-0.025069959461688995,
-0.04882382974028587,
-0.034991174936294556,
0.03167330473661423,
0.016481343656778336,
0.020980842411518097,
-0.005407351069152355,
-0.03988125920295715,
-0.019330687820911407,
-0.06441453099250793,
-0.08185446262359619,
-0.04905679449439049,
-0.02052023820579052,
-0.04985867068171501,
0.08239253610372543,
0.04619897902011871,
-0.05339064821600914,
-0.03847048804163933,
0.004408631473779678,
0.09138351678848267,
-0.04878426343202591,
-0.0647214874625206,
-0.007302474230527878,
0.028414808213710785,
-0.06310483068227768,
-0.04063919931650162,
-0.016233401373028755,
-0.08106115460395813,
-0.03716377541422844,
-0.0812075287103653,
0.008869899436831474,
-0.0022761565633118153,
-0.012143045663833618,
-0.021139420568943024,
0.08318770676851273,
-0.01908228173851967,
-0.043307505548000336,
0.04061337932944298,
-0.025345629081130028,
-0.01465908158570528,
0.001327153411693871,
-0.0024762728717178106,
0.013324773870408535,
0.008368410170078278,
-0.02783605270087719,
0.05029528960585594,
0.01253298856317997,
-0.0856512188911438,
0.00641958974301815,
-0.013645198196172714,
0.07144832611083984,
0.03638906031847,
-0.03100462630391121,
0.020929113030433655
] | null | null | null | null | null | null | null | [
0.035581011325120926,
-0.023918909952044487,
0.05901343747973442,
-0.022936847060918808,
-0.08681388199329376,
-0.026959041133522987,
-0.02382824942469597,
-0.01594797894358635,
-0.04263150691986084,
0.011526313610374928,
-0.02095530927181244,
0.01568443514406681,
-0.06458574533462524,
-0.09052359312772751,
0.06502961367368698,
0.020958764478564262,
0.07762786746025085,
-0.03789574280381203,
0.07541908323764801,
0.10178118944168091,
0.05098263919353485,
-0.055295515805482864,
-0.09486831724643707,
-0.08242949843406677,
-0.04388471320271492,
0.04605953395366669,
0.029018446803092957,
-0.032086651772260666,
-0.06560687720775604,
-0.002118582371622324,
0.08141529560089111,
0.002898810664191842,
-0.08877972513437271,
-0.004571947734802961,
-0.09077468514442444,
-0.056448910385370255,
0.05028562620282173,
-0.02431190200150013,
0.049710389226675034,
-0.06859520077705383,
0.007434035651385784,
-0.008240287192165852,
-0.033706169575452805,
-0.026910101994872093,
-0.0138827720656991,
-0.034235816448926926,
0.07520253211259842,
0.0035705065820366144,
0.0496676079928875,
-0.03703686594963074,
-0.010863055475056171,
-0.0068907355889678,
-0.04019242897629738,
-0.05301308259367943,
0.028001192957162857,
0.02418125979602337,
0.023269562050700188,
0.0013857943704351783,
-0.010642065666615963,
-0.014347069896757603,
0.044332411140203476,
-0.023044591769576073,
0.02095155417919159,
-0.01677894778549671,
-0.01607983186841011,
-0.01660129427909851,
-0.000546892813872546,
0.04190484806895256,
0.03199353814125061,
-0.020607076585292816,
0.015092779882252216,
-0.0026745032519102097,
0.05870091915130615,
-0.018896061927080154,
0.07124848663806915,
0.04419807717204094,
-0.04519461840391159,
0.0006120774196460843,
-0.024229232221841812,
0.06385892629623413,
-0.10669684410095215,
-0.03891950100660324,
-0.01035011000931263,
0.08589603751897812,
-0.05998603254556656,
-0.023384731262922287,
-0.05266377329826355,
-0.0007061735959723592,
-0.02320852316915989,
-0.015462100505828857,
-0.002454375382512808,
0.04021667689085007,
0.045017775148153305,
-0.05310078710317612,
0.08386054635047913,
-0.04218851029872894,
-0.017801299691200256,
-0.03485054895281792,
-0.003367325058206916,
0.0037689218297600746,
0.08544739335775375,
0.029659828171133995,
0.030044544488191605,
0.08402407169342041,
-0.06741932034492493,
-0.008832566440105438,
-0.023255962878465652,
0.0067428164184093475,
-0.07124621421098709,
-0.055438801646232605,
-0.013854188844561577,
0.0009602159261703491,
0.042507801204919815,
-0.07229825109243393,
0.004521387163549662,
-0.010898509994149208,
0.027558816596865654,
0.039668913930654526,
0.019808001816272736,
-0.020601660013198853,
0.04226591810584068,
0.04514578729867935,
0.01871686801314354,
0.0914025828242302,
0.07613428682088852,
0.00785779394209385,
0.05873734876513481,
1.5601502652159108e-33,
0.04158973693847656,
0.12482853978872299,
-0.018079156056046486,
-0.04840483143925667,
-0.0008420030935667455,
0.004586398601531982,
0.1168028712272644,
0.0877448171377182,
0.04037785157561302,
-0.053160130977630615,
0.031753212213516235,
0.02803848125040531,
0.018383119255304337,
0.020148690789937973,
0.04523622617125511,
0.0007361299358308315,
0.042730942368507385,
0.021054375916719437,
0.02148709073662758,
0.013230041600763798,
0.0001476606266805902,
0.012730798684060574,
0.08094827085733414,
-0.03238432854413986,
-0.032454486936330795,
-0.10643450915813446,
-0.022130237892270088,
-0.013224855065345764,
-0.0809556171298027,
0.005957360379397869,
0.018248189240694046,
0.08751263469457626,
0.06631727516651154,
0.04572325572371483,
0.015333722345530987,
-0.03435017913579941,
-0.055528901517391205,
0.04981119558215141,
-0.013220785185694695,
0.05498136207461357,
0.027177710086107254,
0.004304141737520695,
0.04394057020545006,
0.04753047227859497,
0.07430198788642883,
-0.03061717562377453,
-0.06719789654016495,
0.09496571123600006,
0.014098473824560642,
0.015184270218014717,
0.015158859081566334,
-0.12954533100128174,
-0.07786467671394348,
-0.018982207402586937,
0.04518755525350571,
0.02146921120584011,
-0.0287740770727396,
0.01446647010743618,
-0.0645616352558136,
-0.07712721824645996,
0.02580583654344082,
-0.040902137756347656,
0.03340182825922966,
0.0385541133582592,
-0.06009859964251518,
0.002993210917338729,
0.050369661301374435,
0.03540103882551193,
-0.022722609341144562,
-0.006808101665228605,
0.014551559463143349,
0.07079523056745529,
0.0006042669410817325,
-0.008308068849146366,
0.02921069785952568,
-0.01734364777803421,
-0.0006860474240966141,
-0.02488277107477188,
0.058079998940229416,
0.041636183857917786,
-0.05066992715001106,
0.06206139549612999,
-0.09019391983747482,
-0.06872979551553726,
0.008043749257922173,
0.05672753229737282,
0.014245107769966125,
-0.021105406805872917,
-0.045856866985559464,
-0.09540446847677231,
-0.023519840091466904,
-0.004232244566082954,
-0.02716662734746933,
-0.04114975407719612,
-0.04349423572421074,
-3.24463771070608e-33,
0.04167500510811806,
-0.08315160125494003,
-0.02826751209795475,
0.0014469824964180589,
0.027707094326615334,
0.019078336656093597,
0.03296519070863724,
0.0599885955452919,
-0.04522019252181053,
0.09382815659046173,
0.0474000908434391,
0.01012535858899355,
0.020745201036334038,
0.028366658836603165,
-0.13799770176410675,
0.007774242665618658,
0.053058966994285583,
-0.03905835747718811,
0.015001242980360985,
-0.05860878527164459,
0.050331249833106995,
-0.02325400896370411,
0.11706900596618652,
0.09958285093307495,
0.014137479476630688,
-0.031491637229919434,
0.05294425040483475,
-0.02584434486925602,
0.04101214185357094,
0.07141502946615219,
-0.013591480441391468,
0.032993536442518234,
0.085934579372406,
-0.025216951966285706,
0.016355495899915695,
0.07748452574014664,
0.023149613291025162,
-0.045742589980363846,
-0.025154247879981995,
-0.1454281061887741,
-0.01585741713643074,
0.011908312328159809,
-0.05212889984250069,
-0.07072069495916367,
-0.056996170431375504,
-0.05217114835977554,
-0.03875865787267685,
0.08912619948387146,
-0.10853500664234161,
-0.06554436683654785,
-0.05769782140851021,
-0.04854938015341759,
0.02787274681031704,
-0.031081657856702805,
0.0047057317569851875,
-0.039566509425640106,
0.02871597185730934,
0.04792148247361183,
0.0991944745182991,
0.08495983481407166,
-0.06840311735868454,
0.028331762179732323,
0.006271952297538519,
-0.08695302158594131,
-0.004925474990159273,
0.05856473371386528,
0.10828454792499542,
0.001095387153327465,
0.02188994735479355,
-0.006879832129925489,
0.09370268136262894,
0.032233309000730515,
0.05090976133942604,
-0.04407913237810135,
0.05326694995164871,
-0.01009851973503828,
0.06331663578748703,
-0.02635909803211689,
-0.09775173664093018,
0.04676278308033943,
0.014245234429836273,
0.000006162636054796167,
0.006977910175919533,
0.03310658410191536,
-0.021333906799554825,
-0.08034469932317734,
-0.10314685851335526,
0.01905694417655468,
-0.03727387636899948,
0.13750633597373962,
0.05095326900482178,
0.03634440153837204,
0.12119650840759277,
-0.06393048167228699,
0.06920912861824036,
-4.1882110224378266e-8,
0.08597145974636078,
0.07626213878393173,
0.0731862336397171,
-0.04797976091504097,
-0.08193406462669373,
-0.03501862287521362,
-0.03552139922976494,
-0.11637625098228455,
-0.0040840161964297295,
-0.092618428170681,
-0.025069959461688995,
-0.04882382974028587,
-0.034991174936294556,
0.03167330473661423,
0.016481343656778336,
0.020980842411518097,
-0.005407351069152355,
-0.03988125920295715,
-0.019330687820911407,
-0.06441453099250793,
-0.08185446262359619,
-0.04905679449439049,
-0.02052023820579052,
-0.04985867068171501,
0.08239253610372543,
0.04619897902011871,
-0.05339064821600914,
-0.03847048804163933,
0.004408631473779678,
0.09138351678848267,
-0.04878426343202591,
-0.0647214874625206,
-0.007302474230527878,
0.028414808213710785,
-0.06310483068227768,
-0.04063919931650162,
-0.016233401373028755,
-0.08106115460395813,
-0.03716377541422844,
-0.0812075287103653,
0.008869899436831474,
-0.0022761565633118153,
-0.012143045663833618,
-0.021139420568943024,
0.08318770676851273,
-0.01908228173851967,
-0.043307505548000336,
0.04061337932944298,
-0.025345629081130028,
-0.01465908158570528,
0.001327153411693871,
-0.0024762728717178106,
0.013324773870408535,
0.008368410170078278,
-0.02783605270087719,
0.05029528960585594,
0.01253298856317997,
-0.0856512188911438,
0.00641958974301815,
-0.013645198196172714,
0.07144832611083984,
0.03638906031847,
-0.03100462630391121,
0.020929113030433655
] |
1401.1679 | Guillaume Jeanmairet | Guillaume Jeanmairet, Nicolas Levy, Maximilien Levesque and Daniel
Borgis | Introduction to Classical Density Functional Theory by a Computational
Experiment | 4 pages, 2 figures, submitted to: The Journal of Chemical Education | null | 10.1021/ed500049m | null | physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an in-silico experiment to introduce classical density functional
theory (cDFT). Den- sity functional theories, whether quantum or classical,
rely on abstract concepts that are non- intuitive. However, they are at the
heart of powerful tools and active fields of research in both physics and
chemistry. They led to the 1998 Nobel Prize in chemistry. DFT is illustrated
here in its most simple and yet physically relevant form: the classical density
functional theory of an ideal fluid of classical particles. For illustration
purpose, it is applied to the prediction of the molecular structure of liquid
neon. The numerical experiment proposed therein is built around the writing of
a cDFT code by students in Mathematica. Students thus have to deal with (i) the
cDFT theory, (ii) some basic concepts of statistical mechanics of simple
fluids, (iii) functional minimization, and (iv) a useful functional programming
language. This computational experiment is proposed during a molecular
simulation class, but may also be of interest in a quantum chemistry class to
illustrate electronic DFT, if one highlights the analogies between the quantum
and classical DFTs.
| [
{
"created": "Wed, 8 Jan 2014 12:24:36 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 2014 10:47:58 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Aug 2014 14:42:03 GMT",
"version": "v3"
}
] | 2014-10-16 | [
[
"Jeanmairet",
"Guillaume",
""
],
[
"Levy",
"Nicolas",
""
],
[
"Levesque",
"Maximilien",
""
],
[
"Borgis",
"Daniel",
""
]
] | [
-0.1210172101855278,
0.00019915334996767342,
0.0022287010215222836,
0.05503576993942261,
-0.030994364991784096,
-0.006012920755892992,
0.08889460563659668,
0.10582413524389267,
-0.00644853338599205,
-0.021134348586201668,
-0.038488730788230896,
-0.03851383179426193,
-0.047262657433748245,
0.08993606269359589,
0.007212646771222353,
-0.062052980065345764,
-0.009860347025096416,
0.06316938996315002,
-0.060321684926748276,
-0.014154067263007164,
0.031252846121788025,
-0.02039293386042118,
-0.016000382602214813,
-0.03146407753229141,
0.0020534098148345947,
-0.0209179800003767,
0.051987841725349426,
0.014240795746445656,
-0.002567184390500188,
0.0009695462649688125,
0.06297101080417633,
0.07052618265151978,
-0.03713281825184822,
-0.0009888103231787682,
0.04321659356355667,
-0.004548600409179926,
-0.0036188701633363962,
-0.015046879649162292,
-0.024606263265013695,
-0.03743893280625343,
-0.03234734386205673,
0.03954009711742401,
0.010753215290606022,
0.029634064063429832,
0.04004102945327759,
-0.04006877914071083,
0.08398126065731049,
-0.06616217643022537,
-0.023629572242498398,
-0.05795503035187721,
0.0209499541670084,
0.05068212002515793,
-0.0268330629914999,
0.015095263719558716,
-0.05022461339831352,
-0.032517675310373306,
0.10739247500896454,
-0.06414200365543365,
-0.010951094329357147,
-0.0719446912407875,
0.027437245473265648,
0.013558071106672287,
-0.013605649583041668,
0.06379559636116028,
0.0800444558262825,
-0.0592568963766098,
0.05228528007864952,
0.01142490841448307,
0.057027798146009445,
0.020981865003705025,
-0.10053841024637222,
0.06894507259130478,
-0.0663735419511795,
0.08791263401508331,
0.08802534639835358,
-0.07734039425849915,
-0.008408218622207642,
0.03456169366836548,
-0.0076029435731470585,
-0.022752946242690086,
0.042542412877082825,
0.02384844608604908,
0.014665518887341022,
0.028047963976860046,
-0.017257537692785263,
0.09591095894575119,
-0.08271307498216629,
0.03878741338849068,
-0.07438908517360687,
-0.1145748570561409,
-0.025148699060082436,
-0.031440265476703644,
-0.06450007855892181,
-0.009035111404955387,
0.002927021821960807,
0.05524051561951637,
0.1028839498758316,
-0.04777005687355995,
0.09347333759069443,
0.037734393030405045,
0.05486009642481804,
0.05998558551073074,
-0.008815428242087364,
-0.04365234076976776,
0.00013765318726655096,
-0.032992806285619736,
0.04470566287636757,
0.01473465096205473,
0.04358542338013649,
0.04483044520020485,
0.003010837361216545,
-0.06342923641204834,
0.08579268306493759,
0.019022224470973015,
-0.08135804533958435,
0.05385003238916397,
-0.010612408630549908,
0.05135156959295273,
0.030626075342297554,
0.05133688449859619,
-0.009350589476525784,
-0.045854877680540085,
-0.11121435463428497,
0.0132111432030797,
0.03051677532494068,
0.04326033219695091,
-0.05352890491485596,
3.738489198356172e-34,
0.017447922378778458,
-0.04021386057138443,
0.0030708767008036375,
0.05669357627630234,
0.05092156305909157,
-0.07531265169382095,
0.06369828432798386,
-0.029087012633681297,
-0.0843757688999176,
0.027362003922462463,
-0.013321011327207088,
0.03461255133152008,
-0.027119837701320648,
0.014761210419237614,
-0.0510098822414875,
-0.0026896691415458918,
-0.0384792797267437,
-0.00339852599427104,
0.03395941108465195,
-0.03128455579280853,
0.021965980529785156,
0.05039949342608452,
-0.010957861319184303,
0.00013991602463647723,
0.01345457136631012,
0.11401889473199844,
0.005069774575531483,
-0.0018996316939592361,
-0.014147764071822166,
0.02482069842517376,
-0.11334719508886337,
0.08889684081077576,
-0.10646559298038483,
-0.00809723511338234,
0.04194963723421097,
-0.035992514342069626,
-0.04498226195573807,
-0.028916293755173683,
-0.0557626336812973,
-0.07235048711299896,
-0.03801557049155235,
0.03968093916773796,
-0.031859975308179855,
-0.0344858318567276,
-0.05710865557193756,
0.038871727883815765,
0.07439497113227844,
0.02419552020728588,
0.04632885754108429,
-0.0934893861413002,
0.013428685255348682,
-0.017570406198501587,
-0.028348013758659363,
-0.016724703833460808,
0.04359649121761322,
0.024379655718803406,
0.012930204160511494,
-0.03361458331346512,
-0.02918688952922821,
0.04566749185323715,
-0.03454890474677086,
0.09623794257640839,
-0.02925938554108143,
-0.011666213162243366,
-0.03660305589437485,
0.020545272156596184,
-0.09759903699159622,
-0.029305290430784225,
0.1479392647743225,
0.011398226022720337,
-0.015327202156186104,
0.14438295364379883,
0.04754718765616417,
-0.04869331419467926,
0.08003077656030655,
0.05014984682202339,
0.03987067565321922,
-0.1039528027176857,
0.006539225112646818,
0.00690461928024888,
0.05417307838797569,
-0.048941195011138916,
-0.0034296263474971056,
0.04188661277294159,
-0.0511910505592823,
-0.09756335616111755,
-0.02097736857831478,
0.00921058189123869,
-0.0617145411670208,
-0.06901977211236954,
-0.023916758596897125,
-0.10070987045764923,
0.045244328677654266,
-0.06560921669006348,
-0.011081734672188759,
-4.472562415652903e-33,
-0.06847283989191055,
0.03297862038016319,
-0.01403582002967596,
-0.021981822326779366,
0.025209233164787292,
0.022625382989645004,
-0.04717978835105896,
-0.03660285100340843,
0.06726858764886856,
-0.01489944476634264,
0.06625322252511978,
0.033434491604566574,
0.017038613557815552,
0.05204368755221367,
-0.05926080420613289,
0.02073291689157486,
-0.06986961513757706,
-0.016761673614382744,
0.039327412843704224,
0.03220522776246071,
0.01872515119612217,
0.017451360821723938,
-0.059050045907497406,
0.0010997375939041376,
-0.035962704569101334,
0.00020705231872852892,
0.04270292446017265,
-0.003459661966189742,
-0.07376135885715485,
0.07391214370727539,
0.03921552374958992,
-0.04373272508382797,
-0.026653015986084938,
-0.03091331571340561,
-0.04974428564310074,
-0.015356723219156265,
0.034261297434568405,
0.04801659286022186,
-0.05143825337290764,
-0.05588666722178459,
0.004316925071179867,
-0.007168285083025694,
0.08172943443059921,
-0.079720139503479,
0.09918699413537979,
0.03980633616447449,
0.03265507146716118,
-0.04892821982502937,
-0.00041967668221332133,
0.006118262652307749,
0.007569650653749704,
-0.055826570838689804,
-0.019539739936590195,
0.0026012486778199673,
-0.04087934270501137,
0.07231642305850983,
-0.033907704055309296,
0.01169615425169468,
0.0732189416885376,
0.02521316334605217,
-0.05030188709497452,
-0.03263082355260849,
0.02840433456003666,
0.023806368932127953,
-0.10649586468935013,
-0.09427902102470398,
-0.12928332388401031,
-0.02507125772535801,
0.00958157330751419,
-0.08922239392995834,
0.02829071879386902,
-0.009522098116576672,
0.09242728352546692,
0.05858013033866882,
0.037302203476428986,
-0.08776001632213593,
0.03609682247042656,
-0.038117919117212296,
-0.05066786706447601,
0.0524495467543602,
-0.002371459733694792,
0.03452370688319206,
-0.04039853438735008,
-0.005615944042801857,
0.03955258056521416,
0.024833209812641144,
-0.02636999450623989,
-0.009535608813166618,
0.03497850522398949,
-0.09587538987398148,
-0.02234550565481186,
0.10303881764411926,
0.03308962285518646,
-0.035452909767627716,
0.05101057142019272,
-4.793478680653607e-8,
0.09654995054006577,
-0.07232940196990967,
-0.000025938630642485805,
-0.02370532415807247,
-0.00644510705024004,
0.05183671787381172,
0.015153160318732262,
-0.01085404772311449,
-0.059201013296842575,
-0.031675197184085846,
0.03245306387543678,
0.008002597838640213,
-0.02991470694541931,
-0.053337227553129196,
0.028776930645108223,
0.0692925974726677,
0.030908865854144096,
-0.053112562745809555,
-0.057130757719278336,
0.02950730174779892,
0.0830531045794487,
0.051113225519657135,
0.014845377765595913,
-0.021425582468509674,
-0.0760081484913826,
-0.04174243286252022,
0.03166213631629944,
-0.07505035400390625,
0.01378600299358368,
-0.00010585191921563819,
-0.07475204020738602,
0.06821827590465546,
-0.003344175638630986,
0.09160453081130981,
-0.019531141966581345,
-0.018302040174603462,
0.04310274124145508,
0.0000586206660955213,
-0.05876069515943527,
-0.003268202766776085,
0.023381417617201805,
-0.007932576350867748,
-0.0878291130065918,
0.022778339684009552,
0.09721700847148895,
0.03542373701930046,
-0.02366061694920063,
0.005848412401974201,
0.027253806591033936,
0.04255092516541481,
-0.06561245769262314,
0.041834790259599686,
-0.08558936417102814,
0.012126409448683262,
0.0034321898128837347,
0.04180990904569626,
-0.14563433825969696,
-0.00024781623505987227,
-0.08564924448728561,
0.004564414732158184,
0.04987615346908569,
0.06472527980804443,
-0.0019080605125054717,
0.012802486307919025
] | null | null | null | null | null | null | null | [
-0.1210172101855278,
0.00019915334996767342,
0.0022287010215222836,
0.05503576993942261,
-0.030994364991784096,
-0.006012920755892992,
0.08889460563659668,
0.10582413524389267,
-0.00644853338599205,
-0.021134348586201668,
-0.038488730788230896,
-0.03851383179426193,
-0.047262657433748245,
0.08993606269359589,
0.007212646771222353,
-0.062052980065345764,
-0.009860347025096416,
0.06316938996315002,
-0.060321684926748276,
-0.014154067263007164,
0.031252846121788025,
-0.02039293386042118,
-0.016000382602214813,
-0.03146407753229141,
0.0020534098148345947,
-0.0209179800003767,
0.051987841725349426,
0.014240795746445656,
-0.002567184390500188,
0.0009695462649688125,
0.06297101080417633,
0.07052618265151978,
-0.03713281825184822,
-0.0009888103231787682,
0.04321659356355667,
-0.004548600409179926,
-0.0036188701633363962,
-0.015046879649162292,
-0.024606263265013695,
-0.03743893280625343,
-0.03234734386205673,
0.03954009711742401,
0.010753215290606022,
0.029634064063429832,
0.04004102945327759,
-0.04006877914071083,
0.08398126065731049,
-0.06616217643022537,
-0.023629572242498398,
-0.05795503035187721,
0.0209499541670084,
0.05068212002515793,
-0.0268330629914999,
0.015095263719558716,
-0.05022461339831352,
-0.032517675310373306,
0.10739247500896454,
-0.06414200365543365,
-0.010951094329357147,
-0.0719446912407875,
0.027437245473265648,
0.013558071106672287,
-0.013605649583041668,
0.06379559636116028,
0.0800444558262825,
-0.0592568963766098,
0.05228528007864952,
0.01142490841448307,
0.057027798146009445,
0.020981865003705025,
-0.10053841024637222,
0.06894507259130478,
-0.0663735419511795,
0.08791263401508331,
0.08802534639835358,
-0.07734039425849915,
-0.008408218622207642,
0.03456169366836548,
-0.0076029435731470585,
-0.022752946242690086,
0.042542412877082825,
0.02384844608604908,
0.014665518887341022,
0.028047963976860046,
-0.017257537692785263,
0.09591095894575119,
-0.08271307498216629,
0.03878741338849068,
-0.07438908517360687,
-0.1145748570561409,
-0.025148699060082436,
-0.031440265476703644,
-0.06450007855892181,
-0.009035111404955387,
0.002927021821960807,
0.05524051561951637,
0.1028839498758316,
-0.04777005687355995,
0.09347333759069443,
0.037734393030405045,
0.05486009642481804,
0.05998558551073074,
-0.008815428242087364,
-0.04365234076976776,
0.00013765318726655096,
-0.032992806285619736,
0.04470566287636757,
0.01473465096205473,
0.04358542338013649,
0.04483044520020485,
0.003010837361216545,
-0.06342923641204834,
0.08579268306493759,
0.019022224470973015,
-0.08135804533958435,
0.05385003238916397,
-0.010612408630549908,
0.05135156959295273,
0.030626075342297554,
0.05133688449859619,
-0.009350589476525784,
-0.045854877680540085,
-0.11121435463428497,
0.0132111432030797,
0.03051677532494068,
0.04326033219695091,
-0.05352890491485596,
3.738489198356172e-34,
0.017447922378778458,
-0.04021386057138443,
0.0030708767008036375,
0.05669357627630234,
0.05092156305909157,
-0.07531265169382095,
0.06369828432798386,
-0.029087012633681297,
-0.0843757688999176,
0.027362003922462463,
-0.013321011327207088,
0.03461255133152008,
-0.027119837701320648,
0.014761210419237614,
-0.0510098822414875,
-0.0026896691415458918,
-0.0384792797267437,
-0.00339852599427104,
0.03395941108465195,
-0.03128455579280853,
0.021965980529785156,
0.05039949342608452,
-0.010957861319184303,
0.00013991602463647723,
0.01345457136631012,
0.11401889473199844,
0.005069774575531483,
-0.0018996316939592361,
-0.014147764071822166,
0.02482069842517376,
-0.11334719508886337,
0.08889684081077576,
-0.10646559298038483,
-0.00809723511338234,
0.04194963723421097,
-0.035992514342069626,
-0.04498226195573807,
-0.028916293755173683,
-0.0557626336812973,
-0.07235048711299896,
-0.03801557049155235,
0.03968093916773796,
-0.031859975308179855,
-0.0344858318567276,
-0.05710865557193756,
0.038871727883815765,
0.07439497113227844,
0.02419552020728588,
0.04632885754108429,
-0.0934893861413002,
0.013428685255348682,
-0.017570406198501587,
-0.028348013758659363,
-0.016724703833460808,
0.04359649121761322,
0.024379655718803406,
0.012930204160511494,
-0.03361458331346512,
-0.02918688952922821,
0.04566749185323715,
-0.03454890474677086,
0.09623794257640839,
-0.02925938554108143,
-0.011666213162243366,
-0.03660305589437485,
0.020545272156596184,
-0.09759903699159622,
-0.029305290430784225,
0.1479392647743225,
0.011398226022720337,
-0.015327202156186104,
0.14438295364379883,
0.04754718765616417,
-0.04869331419467926,
0.08003077656030655,
0.05014984682202339,
0.03987067565321922,
-0.1039528027176857,
0.006539225112646818,
0.00690461928024888,
0.05417307838797569,
-0.048941195011138916,
-0.0034296263474971056,
0.04188661277294159,
-0.0511910505592823,
-0.09756335616111755,
-0.02097736857831478,
0.00921058189123869,
-0.0617145411670208,
-0.06901977211236954,
-0.023916758596897125,
-0.10070987045764923,
0.045244328677654266,
-0.06560921669006348,
-0.011081734672188759,
-4.472562415652903e-33,
-0.06847283989191055,
0.03297862038016319,
-0.01403582002967596,
-0.021981822326779366,
0.025209233164787292,
0.022625382989645004,
-0.04717978835105896,
-0.03660285100340843,
0.06726858764886856,
-0.01489944476634264,
0.06625322252511978,
0.033434491604566574,
0.017038613557815552,
0.05204368755221367,
-0.05926080420613289,
0.02073291689157486,
-0.06986961513757706,
-0.016761673614382744,
0.039327412843704224,
0.03220522776246071,
0.01872515119612217,
0.017451360821723938,
-0.059050045907497406,
0.0010997375939041376,
-0.035962704569101334,
0.00020705231872852892,
0.04270292446017265,
-0.003459661966189742,
-0.07376135885715485,
0.07391214370727539,
0.03921552374958992,
-0.04373272508382797,
-0.026653015986084938,
-0.03091331571340561,
-0.04974428564310074,
-0.015356723219156265,
0.034261297434568405,
0.04801659286022186,
-0.05143825337290764,
-0.05588666722178459,
0.004316925071179867,
-0.007168285083025694,
0.08172943443059921,
-0.079720139503479,
0.09918699413537979,
0.03980633616447449,
0.03265507146716118,
-0.04892821982502937,
-0.00041967668221332133,
0.006118262652307749,
0.007569650653749704,
-0.055826570838689804,
-0.019539739936590195,
0.0026012486778199673,
-0.04087934270501137,
0.07231642305850983,
-0.033907704055309296,
0.01169615425169468,
0.0732189416885376,
0.02521316334605217,
-0.05030188709497452,
-0.03263082355260849,
0.02840433456003666,
0.023806368932127953,
-0.10649586468935013,
-0.09427902102470398,
-0.12928332388401031,
-0.02507125772535801,
0.00958157330751419,
-0.08922239392995834,
0.02829071879386902,
-0.009522098116576672,
0.09242728352546692,
0.05858013033866882,
0.037302203476428986,
-0.08776001632213593,
0.03609682247042656,
-0.038117919117212296,
-0.05066786706447601,
0.0524495467543602,
-0.002371459733694792,
0.03452370688319206,
-0.04039853438735008,
-0.005615944042801857,
0.03955258056521416,
0.024833209812641144,
-0.02636999450623989,
-0.009535608813166618,
0.03497850522398949,
-0.09587538987398148,
-0.02234550565481186,
0.10303881764411926,
0.03308962285518646,
-0.035452909767627716,
0.05101057142019272,
-4.793478680653607e-8,
0.09654995054006577,
-0.07232940196990967,
-0.000025938630642485805,
-0.02370532415807247,
-0.00644510705024004,
0.05183671787381172,
0.015153160318732262,
-0.01085404772311449,
-0.059201013296842575,
-0.031675197184085846,
0.03245306387543678,
0.008002597838640213,
-0.02991470694541931,
-0.053337227553129196,
0.028776930645108223,
0.0692925974726677,
0.030908865854144096,
-0.053112562745809555,
-0.057130757719278336,
0.02950730174779892,
0.0830531045794487,
0.051113225519657135,
0.014845377765595913,
-0.021425582468509674,
-0.0760081484913826,
-0.04174243286252022,
0.03166213631629944,
-0.07505035400390625,
0.01378600299358368,
-0.00010585191921563819,
-0.07475204020738602,
0.06821827590465546,
-0.003344175638630986,
0.09160453081130981,
-0.019531141966581345,
-0.018302040174603462,
0.04310274124145508,
0.0000586206660955213,
-0.05876069515943527,
-0.003268202766776085,
0.023381417617201805,
-0.007932576350867748,
-0.0878291130065918,
0.022778339684009552,
0.09721700847148895,
0.03542373701930046,
-0.02366061694920063,
0.005848412401974201,
0.027253806591033936,
0.04255092516541481,
-0.06561245769262314,
0.041834790259599686,
-0.08558936417102814,
0.012126409448683262,
0.0034321898128837347,
0.04180990904569626,
-0.14563433825969696,
-0.00024781623505987227,
-0.08564924448728561,
0.004564414732158184,
0.04987615346908569,
0.06472527980804443,
-0.0019080605125054717,
0.012802486307919025
] |
1401.1682 | Simen A Adnoy Ellingsen | Simen {\AA}. Ellingsen | Ship waves in the presence of uniform vorticity | 10 pages, 6 figures, accepted for J. Fluid Mech. Rapids | J. Fluid Mech. (JFM Rapids) 742 R2 (2014) | 10.1017/jfm.2014.28 | null | physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lord Kelvin's result that waves behind a ship lie within a half-angle 19 deg
28' is perhaps the most famous and striking result in the field of surface
waves. We solve the linear ship wave problem in the presence of a shear current
of constant vorticity S, and show that the Kelvin angles (one each side of
wake) as well as other aspects of the wake depend closely on the "shear Froude
number" Frs=VS/g (based on length g/S^2 and the ship's speed V), and on the
angle between current and the ship's line of motion. In all directions except
exactly along the shear flow there exists a critical value of Frs beyond which
no transverse waves are produced, and where the full wake angle reaches 180
deg. Such critical behaviour is previously known from waves at finite depth.
For side-on shear, one Kelvin angle can exceed 90 deg. On the other hand, the
angle of maximum wave amplitude scales as 1/Fr (Fr based on size of ship) when
Fr >> 1, a scaling virtually unaffected by the shear flow.
| [
{
"created": "Wed, 8 Jan 2014 12:38:09 GMT",
"version": "v1"
}
] | 2014-02-26 | [
[
"Ellingsen",
"Simen Å.",
""
]
] | [
-0.09558803588151932,
0.014358000829815865,
0.0585382841527462,
0.021622896194458008,
-0.009729268029332161,
0.01457177847623825,
-0.09871134161949158,
0.05126926675438881,
0.005790461786091328,
0.006869649980217218,
-0.01992126554250717,
-0.05620811507105827,
-0.06363745778799057,
-0.03738638013601303,
0.023150606080889702,
-0.004920178093016148,
-0.00029922122485004365,
0.026582112535834312,
-0.0516289621591568,
0.036557670682668686,
-0.007905043661594391,
0.07102293521165848,
-0.06458935886621475,
0.026337672024965286,
-0.022771798074245453,
-0.03079339861869812,
0.07595118135213852,
-0.06082673370838165,
0.017234060913324356,
0.0014165688771754503,
0.026928599923849106,
0.06666319817304611,
0.00917873252183199,
0.04322562739253044,
-0.05313846841454506,
0.03540317714214325,
0.02603689394891262,
0.01095782220363617,
-0.07088049501180649,
0.03520867973566055,
-0.059130821377038956,
-0.02201380953192711,
0.029420889914035797,
0.1238146722316742,
0.015159623697400093,
-0.06566274911165237,
0.04209918528795242,
0.006475863512605429,
-0.01869240030646324,
0.041676733642816544,
-0.0519544892013073,
-0.04438721388578415,
-0.05921434611082077,
-0.005327774211764336,
-0.06349079310894012,
0.08270767331123352,
-0.020898869261145592,
-0.021260568872094154,
0.11968746781349182,
0.0305310171097517,
0.08673996478319168,
-0.009000550024211407,
0.03619300574064255,
-0.07257218658924103,
-0.005041159689426422,
-0.05183039605617523,
-0.05068624019622803,
0.04598921909928322,
-0.04213985800743103,
0.05564361438155174,
0.010835607536137104,
0.06840246915817261,
-0.030015043914318085,
-0.006481321062892675,
0.021656939759850502,
-0.04602207988500595,
0.013639912009239197,
0.015328659676015377,
-0.003047465579584241,
0.0068805706687271595,
-0.04673602804541588,
-0.08880149573087692,
-0.10379209369421005,
-0.03006330505013466,
-0.033569931983947754,
-0.024805137887597084,
0.05711348354816437,
0.03574374318122864,
-0.00015594747674185783,
0.05212201178073883,
0.0007002030615694821,
-0.08258450776338577,
-0.026151373982429504,
-0.0352138876914978,
0.0902734100818634,
-0.01810005120933056,
-0.08655068278312683,
-0.010237623006105423,
0.023291191086173058,
-0.014820187352597713,
0.022440386936068535,
0.012013725005090237,
-0.003228976158425212,
0.1299404799938202,
-0.03507744520902634,
0.06483341753482819,
0.01731354370713234,
0.042071182280778885,
0.011515925638377666,
-0.022805580869317055,
0.03980826586484909,
0.04904578998684883,
0.023728981614112854,
-0.09679992496967316,
0.039223428815603256,
-0.11906568706035614,
-0.037772174924612045,
0.02547384798526764,
-0.04581613838672638,
-0.0028857355937361717,
0.03335437551140785,
0.021552572026848793,
0.05589105188846588,
0.054143812507390976,
-0.03589501976966858,
0.06034698709845543,
0.14050427079200745,
5.153618863264381e-33,
0.056113000959157944,
0.1076468974351883,
-0.027439123019576073,
0.031279947608709335,
0.0312594398856163,
-0.027918629348278046,
0.020179525017738342,
0.08152230829000473,
-0.0029609613120555878,
-0.014163265936076641,
-0.08532819151878357,
0.15106436610221863,
-0.0019089027773588896,
-0.009551728144288063,
-0.04441765695810318,
-0.0091811278834939,
0.043544065207242966,
-0.08075683563947678,
-0.06413449347019196,
-0.002368726534768939,
-0.010062702000141144,
0.053577717393636703,
0.036444615572690964,
-0.15498991310596466,
-0.010176809504628181,
-0.1325182318687439,
0.005936803296208382,
-0.015994098037481308,
-0.06982588768005371,
0.05376667529344559,
-0.012890675105154514,
-0.016622086986899376,
0.02191055193543434,
0.07319194823503494,
-0.009700818918645382,
0.02187485061585903,
-0.014430446550250053,
-0.01507704146206379,
-0.04809395968914032,
0.022254960611462593,
-0.06690777093172073,
-0.007322671357542276,
0.027080826461315155,
0.13946397602558136,
-0.00822953786700964,
-0.061410993337631226,
0.04505930840969086,
0.08432574570178986,
0.05145709216594696,
0.05716719105839729,
0.037549737840890884,
-0.02683878131210804,
-0.08774926513433456,
-0.015059756115078926,
0.05860092118382454,
-0.025172846391797066,
-0.011419935151934624,
-0.03916414454579353,
-0.034938275814056396,
-0.03682005777955055,
-0.02993045374751091,
0.00936984270811081,
0.06208229809999466,
-0.05361255630850792,
0.01182776689529419,
0.07536864280700684,
-0.03929608315229416,
-0.02534286119043827,
-0.049338169395923615,
-0.022531891241669655,
-0.02681679278612137,
0.04855247214436531,
0.015199011191725731,
-0.04352307692170143,
0.016513314098119736,
0.0027774686459451914,
0.001702492474578321,
0.014077781699597836,
0.0435945987701416,
0.04332888498902321,
-0.075379878282547,
0.03374940901994705,
-0.019236622378230095,
-0.0633285790681839,
-0.004898339509963989,
0.05784308910369873,
0.0075117493979632854,
-0.008704467676579952,
-0.06238507851958275,
0.02685563452541828,
-0.09354358166456223,
-0.029710248112678528,
0.09563133120536804,
0.026018671691417694,
0.0005260405014269054,
-5.172348896376796e-33,
-0.007204766850918531,
-0.01622488722205162,
-0.15382437407970428,
0.019775141030550003,
0.0004041177744511515,
0.06998386234045029,
0.09604387730360031,
0.09075496345758438,
-0.12312435358762741,
-0.09973468631505966,
0.04269995540380478,
-0.0642952248454094,
-0.023954017087817192,
0.0181737020611763,
0.01532201748341322,
-0.08671452850103378,
0.05020589753985405,
0.054317835718393326,
-0.05803375318646431,
-0.03746199980378151,
0.0556575171649456,
-0.05855996906757355,
0.0017527707386761904,
0.0841766968369484,
-0.02846464142203331,
0.04321455955505371,
0.06089108809828758,
-0.04383653402328491,
-0.04408690705895424,
0.023446092382073402,
0.015349171124398708,
0.07201533019542694,
-0.010089356452226639,
-0.05643188953399658,
-0.09691212326288223,
0.11045174300670624,
-0.0190711822360754,
0.022175636142492294,
0.01652623899281025,
-0.03334910422563553,
-0.06357494741678238,
0.030289163812994957,
0.07299185544252396,
-0.04189814254641533,
-0.12316879630088806,
0.03733590245246887,
0.05791297182440758,
0.03101283684372902,
0.012503290548920631,
-0.010117115452885628,
-0.0644872859120369,
-0.04190457984805107,
0.061332132667303085,
0.06718818098306656,
-0.021440094336867332,
0.020750677213072777,
-0.03884461894631386,
-0.030354900285601616,
0.03816014528274536,
0.006564528681337833,
0.004155209753662348,
-0.004896999802440405,
-0.001968737691640854,
-0.066391721367836,
0.021809179335832596,
-0.0007410614052787423,
-0.058596305549144745,
0.027305899187922478,
0.023130550980567932,
0.01279508788138628,
-0.012100372463464737,
-0.00557552557438612,
-0.002543194917961955,
-0.06096508726477623,
0.020536301657557487,
0.016224928200244904,
0.03910554572939873,
-0.031355515122413635,
-0.0820695087313652,
0.08408030867576599,
0.019425824284553528,
-0.00761697581037879,
0.02272116206586361,
-0.030826417729258537,
-0.02825758047401905,
-0.13728271424770355,
-0.018070941790938377,
-0.05512624979019165,
0.09759610891342163,
0.05656178668141365,
0.02760007232427597,
0.022051198408007622,
-0.0716552659869194,
-0.10840889066457748,
0.080522321164608,
-5.0028333475893305e-8,
-0.003429072443395853,
-0.03951690346002579,
0.02344476617872715,
-0.02702820859849453,
-0.005395487882196903,
0.00862942822277546,
0.0027281814254820347,
0.014119782485067844,
-0.0687483623623848,
-0.02928386628627777,
0.017259739339351654,
0.04237456992268562,
-0.03796550631523132,
-0.06342985481023788,
-0.02019689232110977,
-0.01288011483848095,
-0.03194747865200043,
0.0023690341040492058,
0.04123680666089058,
-0.04497525468468666,
0.04367846995592117,
-0.011157634668052197,
0.0164959616959095,
0.03333485871553421,
0.032700005918741226,
0.011056466028094292,
0.016180701553821564,
-0.039588313549757004,
0.004472594242542982,
0.05500572919845581,
-0.05207788199186325,
-0.062447670847177505,
-0.03024810552597046,
0.0564991757273674,
0.010614606551826,
0.012748830951750278,
-0.03453170880675316,
0.08028215914964676,
-0.06888624280691147,
0.03923846408724785,
-0.00038865074748173356,
0.10747283697128296,
-0.030476268380880356,
0.025900468230247498,
0.06357616931200027,
0.015943624079227448,
0.008949987590312958,
0.056201085448265076,
-0.0912061333656311,
0.01345701515674591,
-0.0479235015809536,
0.048401348292827606,
0.04667714983224869,
0.08909472823143005,
0.009166446514427662,
0.04366500675678253,
-0.03598209097981453,
-0.029914846643805504,
-0.06557191908359528,
0.019369879737496376,
-0.014969279989600182,
0.03684287518262863,
-0.008539046160876751,
0.021184606477618217
] | null | null | null | null | null | null | null | [
-0.09558803588151932,
0.014358000829815865,
0.0585382841527462,
0.021622896194458008,
-0.009729268029332161,
0.01457177847623825,
-0.09871134161949158,
0.05126926675438881,
0.005790461786091328,
0.006869649980217218,
-0.01992126554250717,
-0.05620811507105827,
-0.06363745778799057,
-0.03738638013601303,
0.023150606080889702,
-0.004920178093016148,
-0.00029922122485004365,
0.026582112535834312,
-0.0516289621591568,
0.036557670682668686,
-0.007905043661594391,
0.07102293521165848,
-0.06458935886621475,
0.026337672024965286,
-0.022771798074245453,
-0.03079339861869812,
0.07595118135213852,
-0.06082673370838165,
0.017234060913324356,
0.0014165688771754503,
0.026928599923849106,
0.06666319817304611,
0.00917873252183199,
0.04322562739253044,
-0.05313846841454506,
0.03540317714214325,
0.02603689394891262,
0.01095782220363617,
-0.07088049501180649,
0.03520867973566055,
-0.059130821377038956,
-0.02201380953192711,
0.029420889914035797,
0.1238146722316742,
0.015159623697400093,
-0.06566274911165237,
0.04209918528795242,
0.006475863512605429,
-0.01869240030646324,
0.041676733642816544,
-0.0519544892013073,
-0.04438721388578415,
-0.05921434611082077,
-0.005327774211764336,
-0.06349079310894012,
0.08270767331123352,
-0.020898869261145592,
-0.021260568872094154,
0.11968746781349182,
0.0305310171097517,
0.08673996478319168,
-0.009000550024211407,
0.03619300574064255,
-0.07257218658924103,
-0.005041159689426422,
-0.05183039605617523,
-0.05068624019622803,
0.04598921909928322,
-0.04213985800743103,
0.05564361438155174,
0.010835607536137104,
0.06840246915817261,
-0.030015043914318085,
-0.006481321062892675,
0.021656939759850502,
-0.04602207988500595,
0.013639912009239197,
0.015328659676015377,
-0.003047465579584241,
0.0068805706687271595,
-0.04673602804541588,
-0.08880149573087692,
-0.10379209369421005,
-0.03006330505013466,
-0.033569931983947754,
-0.024805137887597084,
0.05711348354816437,
0.03574374318122864,
-0.00015594747674185783,
0.05212201178073883,
0.0007002030615694821,
-0.08258450776338577,
-0.026151373982429504,
-0.0352138876914978,
0.0902734100818634,
-0.01810005120933056,
-0.08655068278312683,
-0.010237623006105423,
0.023291191086173058,
-0.014820187352597713,
0.022440386936068535,
0.012013725005090237,
-0.003228976158425212,
0.1299404799938202,
-0.03507744520902634,
0.06483341753482819,
0.01731354370713234,
0.042071182280778885,
0.011515925638377666,
-0.022805580869317055,
0.03980826586484909,
0.04904578998684883,
0.023728981614112854,
-0.09679992496967316,
0.039223428815603256,
-0.11906568706035614,
-0.037772174924612045,
0.02547384798526764,
-0.04581613838672638,
-0.0028857355937361717,
0.03335437551140785,
0.021552572026848793,
0.05589105188846588,
0.054143812507390976,
-0.03589501976966858,
0.06034698709845543,
0.14050427079200745,
5.153618863264381e-33,
0.056113000959157944,
0.1076468974351883,
-0.027439123019576073,
0.031279947608709335,
0.0312594398856163,
-0.027918629348278046,
0.020179525017738342,
0.08152230829000473,
-0.0029609613120555878,
-0.014163265936076641,
-0.08532819151878357,
0.15106436610221863,
-0.0019089027773588896,
-0.009551728144288063,
-0.04441765695810318,
-0.0091811278834939,
0.043544065207242966,
-0.08075683563947678,
-0.06413449347019196,
-0.002368726534768939,
-0.010062702000141144,
0.053577717393636703,
0.036444615572690964,
-0.15498991310596466,
-0.010176809504628181,
-0.1325182318687439,
0.005936803296208382,
-0.015994098037481308,
-0.06982588768005371,
0.05376667529344559,
-0.012890675105154514,
-0.016622086986899376,
0.02191055193543434,
0.07319194823503494,
-0.009700818918645382,
0.02187485061585903,
-0.014430446550250053,
-0.01507704146206379,
-0.04809395968914032,
0.022254960611462593,
-0.06690777093172073,
-0.007322671357542276,
0.027080826461315155,
0.13946397602558136,
-0.00822953786700964,
-0.061410993337631226,
0.04505930840969086,
0.08432574570178986,
0.05145709216594696,
0.05716719105839729,
0.037549737840890884,
-0.02683878131210804,
-0.08774926513433456,
-0.015059756115078926,
0.05860092118382454,
-0.025172846391797066,
-0.011419935151934624,
-0.03916414454579353,
-0.034938275814056396,
-0.03682005777955055,
-0.02993045374751091,
0.00936984270811081,
0.06208229809999466,
-0.05361255630850792,
0.01182776689529419,
0.07536864280700684,
-0.03929608315229416,
-0.02534286119043827,
-0.049338169395923615,
-0.022531891241669655,
-0.02681679278612137,
0.04855247214436531,
0.015199011191725731,
-0.04352307692170143,
0.016513314098119736,
0.0027774686459451914,
0.001702492474578321,
0.014077781699597836,
0.0435945987701416,
0.04332888498902321,
-0.075379878282547,
0.03374940901994705,
-0.019236622378230095,
-0.0633285790681839,
-0.004898339509963989,
0.05784308910369873,
0.0075117493979632854,
-0.008704467676579952,
-0.06238507851958275,
0.02685563452541828,
-0.09354358166456223,
-0.029710248112678528,
0.09563133120536804,
0.026018671691417694,
0.0005260405014269054,
-5.172348896376796e-33,
-0.007204766850918531,
-0.01622488722205162,
-0.15382437407970428,
0.019775141030550003,
0.0004041177744511515,
0.06998386234045029,
0.09604387730360031,
0.09075496345758438,
-0.12312435358762741,
-0.09973468631505966,
0.04269995540380478,
-0.0642952248454094,
-0.023954017087817192,
0.0181737020611763,
0.01532201748341322,
-0.08671452850103378,
0.05020589753985405,
0.054317835718393326,
-0.05803375318646431,
-0.03746199980378151,
0.0556575171649456,
-0.05855996906757355,
0.0017527707386761904,
0.0841766968369484,
-0.02846464142203331,
0.04321455955505371,
0.06089108809828758,
-0.04383653402328491,
-0.04408690705895424,
0.023446092382073402,
0.015349171124398708,
0.07201533019542694,
-0.010089356452226639,
-0.05643188953399658,
-0.09691212326288223,
0.11045174300670624,
-0.0190711822360754,
0.022175636142492294,
0.01652623899281025,
-0.03334910422563553,
-0.06357494741678238,
0.030289163812994957,
0.07299185544252396,
-0.04189814254641533,
-0.12316879630088806,
0.03733590245246887,
0.05791297182440758,
0.03101283684372902,
0.012503290548920631,
-0.010117115452885628,
-0.0644872859120369,
-0.04190457984805107,
0.061332132667303085,
0.06718818098306656,
-0.021440094336867332,
0.020750677213072777,
-0.03884461894631386,
-0.030354900285601616,
0.03816014528274536,
0.006564528681337833,
0.004155209753662348,
-0.004896999802440405,
-0.001968737691640854,
-0.066391721367836,
0.021809179335832596,
-0.0007410614052787423,
-0.058596305549144745,
0.027305899187922478,
0.023130550980567932,
0.01279508788138628,
-0.012100372463464737,
-0.00557552557438612,
-0.002543194917961955,
-0.06096508726477623,
0.020536301657557487,
0.016224928200244904,
0.03910554572939873,
-0.031355515122413635,
-0.0820695087313652,
0.08408030867576599,
0.019425824284553528,
-0.00761697581037879,
0.02272116206586361,
-0.030826417729258537,
-0.02825758047401905,
-0.13728271424770355,
-0.018070941790938377,
-0.05512624979019165,
0.09759610891342163,
0.05656178668141365,
0.02760007232427597,
0.022051198408007622,
-0.0716552659869194,
-0.10840889066457748,
0.080522321164608,
-5.0028333475893305e-8,
-0.003429072443395853,
-0.03951690346002579,
0.02344476617872715,
-0.02702820859849453,
-0.005395487882196903,
0.00862942822277546,
0.0027281814254820347,
0.014119782485067844,
-0.0687483623623848,
-0.02928386628627777,
0.017259739339351654,
0.04237456992268562,
-0.03796550631523132,
-0.06342985481023788,
-0.02019689232110977,
-0.01288011483848095,
-0.03194747865200043,
0.0023690341040492058,
0.04123680666089058,
-0.04497525468468666,
0.04367846995592117,
-0.011157634668052197,
0.0164959616959095,
0.03333485871553421,
0.032700005918741226,
0.011056466028094292,
0.016180701553821564,
-0.039588313549757004,
0.004472594242542982,
0.05500572919845581,
-0.05207788199186325,
-0.062447670847177505,
-0.03024810552597046,
0.0564991757273674,
0.010614606551826,
0.012748830951750278,
-0.03453170880675316,
0.08028215914964676,
-0.06888624280691147,
0.03923846408724785,
-0.00038865074748173356,
0.10747283697128296,
-0.030476268380880356,
0.025900468230247498,
0.06357616931200027,
0.015943624079227448,
0.008949987590312958,
0.056201085448265076,
-0.0912061333656311,
0.01345701515674591,
-0.0479235015809536,
0.048401348292827606,
0.04667714983224869,
0.08909472823143005,
0.009166446514427662,
0.04366500675678253,
-0.03598209097981453,
-0.029914846643805504,
-0.06557191908359528,
0.019369879737496376,
-0.014969279989600182,
0.03684287518262863,
-0.008539046160876751,
0.021184606477618217
] |
1401.1684 | Riccardo De Pascalis | Riccardo De Pascalis, I. David Abrahams, William J. Parnell | On nonlinear viscoelastic deformations - a reappraisal of Fung's
quasilinear viscoelastic model | null | null | 10.1098/rspa.2014.0058 | null | physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article offers a reappraisal of Fung's method for quasilinear
viscoelasticity. It is shown that a number of negative features exhibited in
other works, commonly attributed to the Fung approach, are merely a consequence
of the way it has been applied. The approach outlined herein is shown to yield
improved behaviour, and offers a straightforward scheme for solving a wide
range of models. Results from the new model are contrasted with those in the
literature for the case of uniaxial elongation of a bar: for an imposed stretch
of an incompressible bar, and for an imposed load. In the last case, a
numerical solution to a Volterra integral equation is required to obtain the
results. This is achieved by a high order discretisation scheme. Finally, the
stretch of a compressible viscoelastic bar is determined for two distinct
materials: Horgan-Murphy and Gent.
| [
{
"created": "Wed, 8 Jan 2014 12:51:31 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"De Pascalis",
"Riccardo",
""
],
[
"Abrahams",
"I. David",
""
],
[
"Parnell",
"William J.",
""
]
] | [
-0.06088273972272873,
0.04487284645438194,
0.07812803983688354,
-0.015476634725928307,
-0.07206505537033081,
-0.07995571196079254,
-0.08133921027183533,
0.031949255615472794,
-0.012881926260888577,
-0.01181731652468443,
0.06281127035617828,
0.01632966846227646,
-0.007254225201904774,
0.06543498486280441,
0.02180185541510582,
-0.05359648913145065,
-0.020929884165525436,
0.025140203535556793,
-0.04766130819916725,
0.10346878319978714,
0.1150902658700943,
0.0627758651971817,
-0.09878933429718018,
-0.007280308753252029,
0.05948420986533165,
-0.02512725442647934,
0.00027581959147937596,
0.0206204392015934,
0.02264525555074215,
-0.07210558652877808,
0.002547359559684992,
-0.054566968232393265,
-0.11833459138870239,
-0.044955335557460785,
-0.007633762899786234,
-0.055027835071086884,
0.0418807677924633,
0.004799764137715101,
-0.03289555013179779,
0.014549879357218742,
-0.021958645433187485,
0.057770006358623505,
0.008328710682690144,
-0.010381237603724003,
0.1058165654540062,
-0.03621436655521393,
-0.05337410792708397,
-0.014446103014051914,
-0.05102827027440071,
-0.01911127381026745,
-0.0033565068151801825,
-0.03404008597135544,
0.016255373135209084,
0.030577467754483223,
-0.013721381314098835,
-0.02411799691617489,
0.0029776780866086483,
-0.017816372215747833,
0.045090481638908386,
-0.03983189910650253,
0.02232830971479416,
0.007276149000972509,
-0.013644149526953697,
-0.020246118307113647,
-0.008116227574646473,
-0.01371610164642334,
0.05115954950451851,
0.016041576862335205,
0.002011158037930727,
0.059063445776700974,
-0.01854749768972397,
-0.0647137314081192,
-0.019161827862262726,
-0.0005743823712691665,
0.022769996896386147,
-0.056687191128730774,
0.05171647667884827,
0.1585106998682022,
-0.013054936192929745,
0.007082773372530937,
-0.022095462307333946,
-0.027319712564349174,
-0.025785690173506737,
-0.019430620595812798,
-0.06252424418926239,
0.024204444140195847,
-0.09326206892728806,
-0.022035833448171616,
0.03639666736125946,
0.05036161467432976,
0.060129087418317795,
0.07740351557731628,
-0.08764171600341797,
-0.014460287056863308,
0.08837433904409409,
-0.03091924451291561,
-0.021775145083665848,
0.003956452943384647,
-0.008218779228627682,
0.08054184913635254,
-0.03349665552377701,
0.04575660452246666,
0.03435086831450462,
0.062181491404771805,
0.03439709544181824,
-0.02182897925376892,
-0.039321791380643845,
0.03278220072388649,
0.09363503009080887,
0.09034214913845062,
-0.026163462549448013,
-0.03292706608772278,
0.06771857291460037,
-0.007481294684112072,
-0.01676388643682003,
-0.07453997433185577,
0.017311856150627136,
0.06555641442537308,
0.046158596873283386,
-0.06413348019123077,
0.08910337835550308,
0.014652005396783352,
-0.05203521251678467,
0.039294127374887466,
-0.04083692282438278,
0.019975358620285988,
-0.017053239047527313,
2.3260496247191705e-34,
-0.04870271310210228,
-0.09118324518203735,
0.0660683885216713,
0.044179875403642654,
0.0071784029714763165,
-0.045090895146131516,
-0.0400143526494503,
0.019913282245397568,
-0.022279057651758194,
-0.040543753653764725,
-0.041899532079696655,
0.008934632875025272,
-0.05999886617064476,
0.10858707129955292,
0.017426181584596634,
-0.01177914161235094,
-0.005609774962067604,
0.04729307070374489,
0.00980586651712656,
0.022014949470758438,
-0.05010248348116875,
0.0013600840466096997,
0.10407350212335587,
-0.031010638922452927,
-0.00009194702579407021,
-0.04383249953389168,
0.009492640383541584,
-0.08101296424865723,
-0.05849120393395424,
0.01924777962267399,
-0.013518627732992172,
-0.046027135103940964,
0.001495432574301958,
0.020410874858498573,
0.008735042065382004,
0.05951720476150513,
0.0010782594326883554,
-0.10493013262748718,
0.0070391870103776455,
0.08372844755649567,
-0.029179852455854416,
0.039520058780908585,
0.07924221456050873,
0.06362425535917282,
-0.05481676757335663,
0.03493720293045044,
0.12326120585203171,
0.07742544263601303,
-0.07599980384111404,
-0.005470374599099159,
-0.03254374861717224,
0.07780711352825165,
-0.0288856104016304,
-0.0012298023793846369,
-0.04616294801235199,
0.06060156971216202,
-0.01685844361782074,
0.026317542418837547,
-0.0343194454908371,
-0.07563932240009308,
-0.017262380570173264,
-0.014385664835572243,
0.10365074872970581,
-0.03283529356122017,
0.03271309658885002,
-0.03498665615916252,
-0.07863180339336395,
0.0040215314365923405,
0.04779059439897537,
-0.03775077313184738,
-0.015450811944901943,
-0.026698151603341103,
-0.013600033707916737,
0.009857802651822567,
-0.014094417914748192,
-0.021671675145626068,
-0.006727945990860462,
-0.00490957498550415,
0.026946846395730972,
-0.07072117179632187,
-0.018267381936311722,
0.0016318195266649127,
-0.012938305735588074,
-0.040127649903297424,
0.021858183667063713,
-0.03631073236465454,
0.14238514006137848,
0.04249772056937218,
-0.010766580700874329,
-0.0631602555513382,
-0.10550956428050995,
0.005939186550676823,
0.054948590695858,
-0.032617807388305664,
0.1168990433216095,
-3.711834634362536e-33,
0.02924378216266632,
-0.05073805898427963,
0.01551856193691492,
0.009428184479475021,
0.0048456513322889805,
-0.0276353657245636,
-0.06292958557605743,
0.03035327047109604,
-0.04958891496062279,
-0.11058126389980316,
0.11273474246263504,
0.0012343039270490408,
-0.022639332339167595,
-0.010082785971462727,
0.005873551592230797,
0.0326654314994812,
-0.04863779619336128,
-0.05919178947806358,
-0.05510953441262245,
-0.015528728254139423,
0.025652609765529633,
-0.027846645563840866,
-0.0647532120347023,
-0.009127776138484478,
0.026711247861385345,
-0.034461695700883865,
-0.07559040933847427,
-0.025301383808255196,
-0.05526774004101753,
-0.03320465609431267,
0.0051543330773711205,
0.04494134709239006,
0.014278657734394073,
-0.046058785170316696,
-0.01835770532488823,
0.10714472085237503,
0.023282388225197792,
0.05771632120013237,
0.11246609687805176,
-0.09419802576303482,
-0.006393569055944681,
0.08859651535749435,
0.04414526745676994,
-0.0829334631562233,
0.006272265687584877,
0.05636788532137871,
0.009251098148524761,
-0.016225256025791168,
-0.0008135208627209067,
0.08802379667758942,
0.04520256072282791,
0.006100943777710199,
0.047826532274484634,
0.056691061705350876,
0.0016623223200440407,
0.010133638046681881,
-0.05691112205386162,
-0.046048715710639954,
-0.06707233190536499,
0.017752645537257195,
-0.07246316224336624,
0.05371423810720444,
0.07782527804374695,
-0.1037723645567894,
-0.02804136648774147,
0.009157916530966759,
-0.044242650270462036,
-0.07534948736429214,
-0.03224923089146614,
-0.1097768172621727,
-0.032747797667980194,
0.039180539548397064,
0.05851699411869049,
-0.04857495427131653,
0.031181152909994125,
-0.07211308181285858,
0.04555652290582657,
-0.026046860963106155,
-0.0797329917550087,
-0.01660633087158203,
-0.0029001496732234955,
-0.0015407982282340527,
0.086527019739151,
-0.005832125432789326,
-0.09941041469573975,
-0.04720150679349899,
0.029813231900334358,
0.12429013848304749,
-0.0017625571927055717,
0.09090167284011841,
0.034766919910907745,
0.03143075481057167,
0.048910774290561676,
0.08181426674127579,
0.07157775014638901,
-5.96252789364371e-8,
0.029756829142570496,
-0.05565114691853523,
-0.03433602303266525,
-0.08434906601905823,
-0.0069625661708414555,
0.07282796502113342,
-0.045464545488357544,
-0.03493886813521385,
-0.036065421998500824,
-0.06715483963489532,
0.07974942773580551,
-0.044323090463876724,
-0.029576091095805168,
-0.012774555012583733,
-0.06286180764436722,
0.02621951699256897,
0.032089557498693466,
0.023596476763486862,
-0.030010489746928215,
-0.057760920375585556,
-0.0051271552219986916,
0.02292948216199875,
0.056839630007743835,
0.025387752801179886,
0.016524605453014374,
-0.0238049253821373,
-0.10670528560876846,
-0.015966905280947685,
0.008518933318555355,
0.007068391423672438,
-0.041896943002939224,
0.08955756574869156,
0.004662760999053717,
0.02617674693465233,
-0.008180219680070877,
-0.022167516872286797,
0.0122598921880126,
-0.021014470607042313,
-0.0820157453417778,
-0.022839289158582687,
0.0644165426492691,
-0.06974848359823227,
0.038138534873723984,
-0.02689487859606743,
0.10584092140197754,
-0.036673158407211304,
0.02052983082830906,
0.022410031408071518,
-0.054645635187625885,
0.07991910725831985,
-0.024728981778025627,
0.11139523983001709,
-0.02590274065732956,
0.05374353379011154,
0.02619008719921112,
0.01389449555426836,
-0.09627227485179901,
0.003966532181948423,
-0.048829805105924606,
-0.0024355738423764706,
0.04559165984392166,
-0.0394386388361454,
0.01100108865648508,
0.004652115982025862
] | null | null | null | null | null | null | null | [
-0.06088273972272873,
0.04487284645438194,
0.07812803983688354,
-0.015476634725928307,
-0.07206505537033081,
-0.07995571196079254,
-0.08133921027183533,
0.031949255615472794,
-0.012881926260888577,
-0.01181731652468443,
0.06281127035617828,
0.01632966846227646,
-0.007254225201904774,
0.06543498486280441,
0.02180185541510582,
-0.05359648913145065,
-0.020929884165525436,
0.025140203535556793,
-0.04766130819916725,
0.10346878319978714,
0.1150902658700943,
0.0627758651971817,
-0.09878933429718018,
-0.007280308753252029,
0.05948420986533165,
-0.02512725442647934,
0.00027581959147937596,
0.0206204392015934,
0.02264525555074215,
-0.07210558652877808,
0.002547359559684992,
-0.054566968232393265,
-0.11833459138870239,
-0.044955335557460785,
-0.007633762899786234,
-0.055027835071086884,
0.0418807677924633,
0.004799764137715101,
-0.03289555013179779,
0.014549879357218742,
-0.021958645433187485,
0.057770006358623505,
0.008328710682690144,
-0.010381237603724003,
0.1058165654540062,
-0.03621436655521393,
-0.05337410792708397,
-0.014446103014051914,
-0.05102827027440071,
-0.01911127381026745,
-0.0033565068151801825,
-0.03404008597135544,
0.016255373135209084,
0.030577467754483223,
-0.013721381314098835,
-0.02411799691617489,
0.0029776780866086483,
-0.017816372215747833,
0.045090481638908386,
-0.03983189910650253,
0.02232830971479416,
0.007276149000972509,
-0.013644149526953697,
-0.020246118307113647,
-0.008116227574646473,
-0.01371610164642334,
0.05115954950451851,
0.016041576862335205,
0.002011158037930727,
0.059063445776700974,
-0.01854749768972397,
-0.0647137314081192,
-0.019161827862262726,
-0.0005743823712691665,
0.022769996896386147,
-0.056687191128730774,
0.05171647667884827,
0.1585106998682022,
-0.013054936192929745,
0.007082773372530937,
-0.022095462307333946,
-0.027319712564349174,
-0.025785690173506737,
-0.019430620595812798,
-0.06252424418926239,
0.024204444140195847,
-0.09326206892728806,
-0.022035833448171616,
0.03639666736125946,
0.05036161467432976,
0.060129087418317795,
0.07740351557731628,
-0.08764171600341797,
-0.014460287056863308,
0.08837433904409409,
-0.03091924451291561,
-0.021775145083665848,
0.003956452943384647,
-0.008218779228627682,
0.08054184913635254,
-0.03349665552377701,
0.04575660452246666,
0.03435086831450462,
0.062181491404771805,
0.03439709544181824,
-0.02182897925376892,
-0.039321791380643845,
0.03278220072388649,
0.09363503009080887,
0.09034214913845062,
-0.026163462549448013,
-0.03292706608772278,
0.06771857291460037,
-0.007481294684112072,
-0.01676388643682003,
-0.07453997433185577,
0.017311856150627136,
0.06555641442537308,
0.046158596873283386,
-0.06413348019123077,
0.08910337835550308,
0.014652005396783352,
-0.05203521251678467,
0.039294127374887466,
-0.04083692282438278,
0.019975358620285988,
-0.017053239047527313,
2.3260496247191705e-34,
-0.04870271310210228,
-0.09118324518203735,
0.0660683885216713,
0.044179875403642654,
0.0071784029714763165,
-0.045090895146131516,
-0.0400143526494503,
0.019913282245397568,
-0.022279057651758194,
-0.040543753653764725,
-0.041899532079696655,
0.008934632875025272,
-0.05999886617064476,
0.10858707129955292,
0.017426181584596634,
-0.01177914161235094,
-0.005609774962067604,
0.04729307070374489,
0.00980586651712656,
0.022014949470758438,
-0.05010248348116875,
0.0013600840466096997,
0.10407350212335587,
-0.031010638922452927,
-0.00009194702579407021,
-0.04383249953389168,
0.009492640383541584,
-0.08101296424865723,
-0.05849120393395424,
0.01924777962267399,
-0.013518627732992172,
-0.046027135103940964,
0.001495432574301958,
0.020410874858498573,
0.008735042065382004,
0.05951720476150513,
0.0010782594326883554,
-0.10493013262748718,
0.0070391870103776455,
0.08372844755649567,
-0.029179852455854416,
0.039520058780908585,
0.07924221456050873,
0.06362425535917282,
-0.05481676757335663,
0.03493720293045044,
0.12326120585203171,
0.07742544263601303,
-0.07599980384111404,
-0.005470374599099159,
-0.03254374861717224,
0.07780711352825165,
-0.0288856104016304,
-0.0012298023793846369,
-0.04616294801235199,
0.06060156971216202,
-0.01685844361782074,
0.026317542418837547,
-0.0343194454908371,
-0.07563932240009308,
-0.017262380570173264,
-0.014385664835572243,
0.10365074872970581,
-0.03283529356122017,
0.03271309658885002,
-0.03498665615916252,
-0.07863180339336395,
0.0040215314365923405,
0.04779059439897537,
-0.03775077313184738,
-0.015450811944901943,
-0.026698151603341103,
-0.013600033707916737,
0.009857802651822567,
-0.014094417914748192,
-0.021671675145626068,
-0.006727945990860462,
-0.00490957498550415,
0.026946846395730972,
-0.07072117179632187,
-0.018267381936311722,
0.0016318195266649127,
-0.012938305735588074,
-0.040127649903297424,
0.021858183667063713,
-0.03631073236465454,
0.14238514006137848,
0.04249772056937218,
-0.010766580700874329,
-0.0631602555513382,
-0.10550956428050995,
0.005939186550676823,
0.054948590695858,
-0.032617807388305664,
0.1168990433216095,
-3.711834634362536e-33,
0.02924378216266632,
-0.05073805898427963,
0.01551856193691492,
0.009428184479475021,
0.0048456513322889805,
-0.0276353657245636,
-0.06292958557605743,
0.03035327047109604,
-0.04958891496062279,
-0.11058126389980316,
0.11273474246263504,
0.0012343039270490408,
-0.022639332339167595,
-0.010082785971462727,
0.005873551592230797,
0.0326654314994812,
-0.04863779619336128,
-0.05919178947806358,
-0.05510953441262245,
-0.015528728254139423,
0.025652609765529633,
-0.027846645563840866,
-0.0647532120347023,
-0.009127776138484478,
0.026711247861385345,
-0.034461695700883865,
-0.07559040933847427,
-0.025301383808255196,
-0.05526774004101753,
-0.03320465609431267,
0.0051543330773711205,
0.04494134709239006,
0.014278657734394073,
-0.046058785170316696,
-0.01835770532488823,
0.10714472085237503,
0.023282388225197792,
0.05771632120013237,
0.11246609687805176,
-0.09419802576303482,
-0.006393569055944681,
0.08859651535749435,
0.04414526745676994,
-0.0829334631562233,
0.006272265687584877,
0.05636788532137871,
0.009251098148524761,
-0.016225256025791168,
-0.0008135208627209067,
0.08802379667758942,
0.04520256072282791,
0.006100943777710199,
0.047826532274484634,
0.056691061705350876,
0.0016623223200440407,
0.010133638046681881,
-0.05691112205386162,
-0.046048715710639954,
-0.06707233190536499,
0.017752645537257195,
-0.07246316224336624,
0.05371423810720444,
0.07782527804374695,
-0.1037723645567894,
-0.02804136648774147,
0.009157916530966759,
-0.044242650270462036,
-0.07534948736429214,
-0.03224923089146614,
-0.1097768172621727,
-0.032747797667980194,
0.039180539548397064,
0.05851699411869049,
-0.04857495427131653,
0.031181152909994125,
-0.07211308181285858,
0.04555652290582657,
-0.026046860963106155,
-0.0797329917550087,
-0.01660633087158203,
-0.0029001496732234955,
-0.0015407982282340527,
0.086527019739151,
-0.005832125432789326,
-0.09941041469573975,
-0.04720150679349899,
0.029813231900334358,
0.12429013848304749,
-0.0017625571927055717,
0.09090167284011841,
0.034766919910907745,
0.03143075481057167,
0.048910774290561676,
0.08181426674127579,
0.07157775014638901,
-5.96252789364371e-8,
0.029756829142570496,
-0.05565114691853523,
-0.03433602303266525,
-0.08434906601905823,
-0.0069625661708414555,
0.07282796502113342,
-0.045464545488357544,
-0.03493886813521385,
-0.036065421998500824,
-0.06715483963489532,
0.07974942773580551,
-0.044323090463876724,
-0.029576091095805168,
-0.012774555012583733,
-0.06286180764436722,
0.02621951699256897,
0.032089557498693466,
0.023596476763486862,
-0.030010489746928215,
-0.057760920375585556,
-0.0051271552219986916,
0.02292948216199875,
0.056839630007743835,
0.025387752801179886,
0.016524605453014374,
-0.0238049253821373,
-0.10670528560876846,
-0.015966905280947685,
0.008518933318555355,
0.007068391423672438,
-0.041896943002939224,
0.08955756574869156,
0.004662760999053717,
0.02617674693465233,
-0.008180219680070877,
-0.022167516872286797,
0.0122598921880126,
-0.021014470607042313,
-0.0820157453417778,
-0.022839289158582687,
0.0644165426492691,
-0.06974848359823227,
0.038138534873723984,
-0.02689487859606743,
0.10584092140197754,
-0.036673158407211304,
0.02052983082830906,
0.022410031408071518,
-0.054645635187625885,
0.07991910725831985,
-0.024728981778025627,
0.11139523983001709,
-0.02590274065732956,
0.05374353379011154,
0.02619008719921112,
0.01389449555426836,
-0.09627227485179901,
0.003966532181948423,
-0.048829805105924606,
-0.0024355738423764706,
0.04559165984392166,
-0.0394386388361454,
0.01100108865648508,
0.004652115982025862
] |
1401.1686 | Tobias Kretz | Tobias Kretz, Karsten Lehmann, Ingmar Hofs\"a{\ss} | Pedestrian Route Choice by Iterated Equilibrium Search | contribution to proceedings of Traffic and Granular Flow 2013 (TGF13) | null | null | null | cs.MA cs.CE nlin.AO physics.soc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In vehicular traffic planning it is a long standing problem how to assign
demand such on the available model of a road network that an equilibrium with
regard to travel time or generalized costs is realized. For pedestrian traffic
this question can be asked as well. However, as the infrastructure of
pedestrian dynamics is not a network (a graph), but two-dimensional, there is
in principle an infinitely large set of routes. As a consequence none of the
iterating assignment methods developed for road traffic can be applied for
pedestrians. In this contribution a method to overcome this problem is briefly
summarized and applied with an example geometry which as a result is enhanced
with routes with intermediate destination areas of certain shape. The enhanced
geometry is used in some exemplary assignment calculations.
| [
{
"created": "Wed, 8 Jan 2014 13:01:55 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Kretz",
"Tobias",
""
],
[
"Lehmann",
"Karsten",
""
],
[
"Hofsäß",
"Ingmar",
""
]
] | [
0.025426333770155907,
-0.018711315467953682,
-0.029765857383608818,
-0.035466987639665604,
-0.028318779543042183,
0.04987692832946777,
0.027815314009785652,
0.06873495876789093,
-0.03753848001360893,
0.00016281708667520434,
-0.015619977377355099,
0.012853608466684818,
0.010410339571535587,
0.1252891719341278,
-0.006709055043756962,
-0.002245719777420163,
0.06295011937618256,
0.038877397775650024,
0.019672205671668053,
-0.018468676134943962,
0.023664286360144615,
-0.01231518667191267,
0.022282777354121208,
0.028763629496097565,
-0.004090671427547932,
-0.0041080075316131115,
0.10108916461467743,
-0.03938787803053856,
0.03478424623608589,
-0.013880632817745209,
0.015063900500535965,
0.014308979734778404,
-0.005057713482528925,
0.0006076861172914505,
-0.1083831712603569,
-0.060541100800037384,
-0.07905511558055878,
0.006879882887005806,
0.04328741133213043,
0.048566609621047974,
-0.021521534770727158,
0.026056690141558647,
-0.08022694289684296,
-0.011572790332138538,
0.08884242922067642,
-0.01862356625497341,
0.024779662489891052,
0.02423762157559395,
0.007275555282831192,
-0.08224528282880783,
0.05340107902884483,
0.0075151752680540085,
-0.024216407909989357,
0.010859397239983082,
-0.04155737906694412,
-0.03927568346261978,
-0.009134826250374317,
-0.026667281985282898,
0.03727291151881218,
-0.012365676462650299,
0.028842806816101074,
-0.03635109215974808,
0.04272715747356415,
0.022238455712795258,
-0.021858006715774536,
-0.06535714864730835,
-0.0304248109459877,
-0.012058879248797894,
0.02004333771765232,
0.10244284570217133,
0.002473070053383708,
0.0571194626390934,
0.0004046795947942883,
-0.06567302346229553,
0.11142409592866898,
0.012487862259149551,
0.06674070656299591,
0.06161176413297653,
-0.024857480078935623,
-0.03223293647170067,
-0.028261201456189156,
-0.06591648608446121,
-0.023520151153206825,
0.025453057140111923,
0.018553851172327995,
-0.023801840841770172,
-0.07190416753292084,
0.03170204162597656,
0.06327421218156815,
0.02389366179704666,
-0.03193115442991257,
0.0722876563668251,
0.059185486286878586,
-0.07348081469535828,
-0.046633608639240265,
0.00657658139243722,
-0.01811603643000126,
-0.06325583904981613,
0.007878757081925869,
0.035342223942279816,
-0.018351254984736443,
-0.04914045333862305,
0.0581173337996006,
0.05268218368291855,
0.0493030920624733,
0.030193885788321495,
0.03329081833362579,
-0.07432291656732559,
-0.032732680439949036,
-0.013225235044956207,
0.10510551184415817,
-0.02923835627734661,
-0.022803151980042458,
0.013932720758020878,
-0.06919831782579422,
0.013200010173022747,
-0.012053688056766987,
-0.0015922655584290624,
-0.012260612100362778,
0.014836413785815239,
-0.09427178651094437,
-0.07607545703649521,
0.03047923929989338,
0.0781179741024971,
-0.018105579540133476,
0.014614492654800415,
0.03190673142671585,
-7.169452544147925e-34,
-0.07217925786972046,
-0.018481198698282242,
0.020703868940472603,
0.0420956127345562,
-0.0016216662479564548,
-0.030076459050178528,
-0.018335456028580666,
-0.04006035625934601,
0.03197125345468521,
-0.06666968017816544,
-0.0561184398829937,
-0.04876982420682907,
0.06491107493638992,
0.07541241496801376,
0.05150659754872322,
-0.012570803984999657,
0.02110176905989647,
0.020804081112146378,
-0.07278764992952347,
0.03785613551735878,
0.08069537580013275,
-0.04564974084496498,
-0.019135409966111183,
-0.0363992340862751,
0.031092779710888863,
0.04180770739912987,
-0.03635290265083313,
-0.02606169879436493,
0.036960896104574203,
0.018029630184173584,
-0.008192635141313076,
0.03574225306510925,
-0.0448787696659565,
0.12257938832044601,
-0.036320168524980545,
0.07603829354047775,
-0.01514156349003315,
-0.0019980361685156822,
0.05538157746195793,
-0.059435270726680756,
0.05066952109336853,
-0.003665799042209983,
0.00643207086250186,
-0.043021801859140396,
-0.07011347264051437,
0.03973770514130592,
0.024054989218711853,
0.07776346057653427,
-0.06458758562803268,
0.05213109031319618,
-0.0903061032295227,
0.015299852937459946,
-0.04930367320775986,
-0.04017120972275734,
-0.09808682650327682,
-0.014455998316407204,
-0.00018115407146979123,
0.04707171395421028,
0.012911979109048843,
0.107148177921772,
0.01701531559228897,
0.006981493439525366,
0.023074761033058167,
0.034613870084285736,
0.0131208011880517,
-0.05213015526533127,
-0.03639068454504013,
-0.01864013820886612,
0.10061052441596985,
0.01609623059630394,
0.009941913187503815,
0.03740057349205017,
0.02455422282218933,
0.043333590030670166,
0.013684106059372425,
-0.046615879982709885,
-0.005993030499666929,
-0.040809210389852524,
-0.010027646087110043,
0.010410935617983341,
-0.13801583647727966,
0.07235988229513168,
-0.05177934467792511,
-0.13357865810394287,
0.07475820183753967,
-0.08509761840105057,
0.003301555523648858,
-0.036155831068754196,
0.010688813403248787,
0.0025004399940371513,
-0.05580034479498863,
0.03533482551574707,
-0.06949948519468307,
0.09055903553962708,
0.039264317601919174,
-2.735624779571028e-33,
-0.00815467070788145,
0.07583986222743988,
0.07570311427116394,
-0.025758741423487663,
0.021761316806077957,
-0.017996400594711304,
-0.015437192283570766,
-0.09282483160495758,
0.05854979157447815,
0.0493612065911293,
-0.1803974062204361,
0.0339033417403698,
0.0581941083073616,
-0.04672981798648834,
0.04557794705033302,
-0.041690122336149216,
-0.010899300687015057,
-0.05695982649922371,
-0.01979357935488224,
-0.03847534954547882,
-0.10438250750303268,
0.02357172966003418,
-0.08153853565454483,
-0.07903025299310684,
0.059128206223249435,
0.02113826759159565,
0.024482298642396927,
-0.017710305750370026,
-0.05573219060897827,
0.01811615750193596,
-0.05150173231959343,
-0.10829425603151321,
-0.0684833973646164,
-0.04308285936713219,
0.0009040763252414763,
0.07335085421800613,
-0.03460833802819252,
0.10717344284057617,
0.013624139130115509,
0.014382232911884785,
0.021485550329089165,
-0.051104262471199036,
0.02301197126507759,
0.03757734224200249,
0.04923490062355995,
0.04981369152665138,
-0.03086775541305542,
-0.009680706076323986,
-0.0721626803278923,
-0.016629520803689957,
0.024651654064655304,
0.08868764340877533,
-0.015613961033523083,
0.08160483837127686,
0.019955597817897797,
0.10402967780828476,
0.012498775497078896,
-0.00594955962151289,
0.12049645930528641,
-0.026427648961544037,
0.01819242537021637,
0.0013071041321381927,
-0.04909692704677582,
0.08442659676074982,
-0.04156016930937767,
-0.08334679901599884,
-0.05184166133403778,
-0.12737639248371124,
-0.055307164788246155,
0.015963170677423477,
0.04921150952577591,
0.03674117475748062,
-0.018366985023021698,
0.0031201320234686136,
-0.011113915592432022,
-0.07632490247488022,
0.017509890720248222,
0.0745694488286972,
0.05502834916114807,
-0.05468951538205147,
-0.08796299993991852,
0.004248965997248888,
0.030923958867788315,
0.023910392075777054,
-0.046381592750549316,
-0.06737709790468216,
0.05060001090168953,
0.01989109441637993,
-0.06179756671190262,
0.08651123940944672,
-0.024481073021888733,
0.0529826320707798,
-0.04047934338450432,
0.0070760827511549,
-0.10859682410955429,
-4.708798329033925e-8,
-0.07969221472740173,
-0.00011453634942881763,
-0.038093071430921555,
0.00719782430678606,
0.013268113136291504,
0.00381057639606297,
0.04981943592429161,
0.0665777400135994,
-0.1112753301858902,
0.06664691120386124,
0.0005010163295082748,
0.016096482053399086,
0.019225047901272774,
0.07936790585517883,
-0.07939483225345612,
0.03196443244814873,
-0.013427559286355972,
-0.030248144641518593,
-0.06293381005525589,
0.001265231054276228,
-0.03298252820968628,
0.03376419097185135,
-0.06778637319803238,
0.04524054005742073,
0.07404854148626328,
0.01444767415523529,
-0.019330481067299843,
0.029550470411777496,
0.034179527312517166,
-0.011133071035146713,
-0.0265937689691782,
0.05037447810173035,
0.02743871696293354,
0.05812948942184448,
0.0927671566605568,
-0.03304724395275116,
-0.03162547945976257,
0.06304322928190231,
0.009459682740271091,
0.059815868735313416,
-0.0011031274916604161,
0.01277674175798893,
-0.006978345103561878,
-0.004077001009136438,
0.15030625462532043,
0.05300278589129448,
-0.0830913633108139,
-0.007570860907435417,
-0.018612181767821312,
-0.060272280126810074,
-0.07684502005577087,
-0.07051471620798111,
-0.05324111878871918,
0.009441730566322803,
0.00986482948064804,
-0.038421694189310074,
-0.005225007887929678,
-0.08429714292287827,
0.04783802106976509,
-0.03322373330593109,
-0.0399329848587513,
0.03372010216116905,
-0.06320726126432419,
-0.0364144891500473
] | null | null | null | null | null | null | null | [
0.025426333770155907,
-0.018711315467953682,
-0.029765857383608818,
-0.035466987639665604,
-0.028318779543042183,
0.04987692832946777,
0.027815314009785652,
0.06873495876789093,
-0.03753848001360893,
0.00016281708667520434,
-0.015619977377355099,
0.012853608466684818,
0.010410339571535587,
0.1252891719341278,
-0.006709055043756962,
-0.002245719777420163,
0.06295011937618256,
0.038877397775650024,
0.019672205671668053,
-0.018468676134943962,
0.023664286360144615,
-0.01231518667191267,
0.022282777354121208,
0.028763629496097565,
-0.004090671427547932,
-0.0041080075316131115,
0.10108916461467743,
-0.03938787803053856,
0.03478424623608589,
-0.013880632817745209,
0.015063900500535965,
0.014308979734778404,
-0.005057713482528925,
0.0006076861172914505,
-0.1083831712603569,
-0.060541100800037384,
-0.07905511558055878,
0.006879882887005806,
0.04328741133213043,
0.048566609621047974,
-0.021521534770727158,
0.026056690141558647,
-0.08022694289684296,
-0.011572790332138538,
0.08884242922067642,
-0.01862356625497341,
0.024779662489891052,
0.02423762157559395,
0.007275555282831192,
-0.08224528282880783,
0.05340107902884483,
0.0075151752680540085,
-0.024216407909989357,
0.010859397239983082,
-0.04155737906694412,
-0.03927568346261978,
-0.009134826250374317,
-0.026667281985282898,
0.03727291151881218,
-0.012365676462650299,
0.028842806816101074,
-0.03635109215974808,
0.04272715747356415,
0.022238455712795258,
-0.021858006715774536,
-0.06535714864730835,
-0.0304248109459877,
-0.012058879248797894,
0.02004333771765232,
0.10244284570217133,
0.002473070053383708,
0.0571194626390934,
0.0004046795947942883,
-0.06567302346229553,
0.11142409592866898,
0.012487862259149551,
0.06674070656299591,
0.06161176413297653,
-0.024857480078935623,
-0.03223293647170067,
-0.028261201456189156,
-0.06591648608446121,
-0.023520151153206825,
0.025453057140111923,
0.018553851172327995,
-0.023801840841770172,
-0.07190416753292084,
0.03170204162597656,
0.06327421218156815,
0.02389366179704666,
-0.03193115442991257,
0.0722876563668251,
0.059185486286878586,
-0.07348081469535828,
-0.046633608639240265,
0.00657658139243722,
-0.01811603643000126,
-0.06325583904981613,
0.007878757081925869,
0.035342223942279816,
-0.018351254984736443,
-0.04914045333862305,
0.0581173337996006,
0.05268218368291855,
0.0493030920624733,
0.030193885788321495,
0.03329081833362579,
-0.07432291656732559,
-0.032732680439949036,
-0.013225235044956207,
0.10510551184415817,
-0.02923835627734661,
-0.022803151980042458,
0.013932720758020878,
-0.06919831782579422,
0.013200010173022747,
-0.012053688056766987,
-0.0015922655584290624,
-0.012260612100362778,
0.014836413785815239,
-0.09427178651094437,
-0.07607545703649521,
0.03047923929989338,
0.0781179741024971,
-0.018105579540133476,
0.014614492654800415,
0.03190673142671585,
-7.169452544147925e-34,
-0.07217925786972046,
-0.018481198698282242,
0.020703868940472603,
0.0420956127345562,
-0.0016216662479564548,
-0.030076459050178528,
-0.018335456028580666,
-0.04006035625934601,
0.03197125345468521,
-0.06666968017816544,
-0.0561184398829937,
-0.04876982420682907,
0.06491107493638992,
0.07541241496801376,
0.05150659754872322,
-0.012570803984999657,
0.02110176905989647,
0.020804081112146378,
-0.07278764992952347,
0.03785613551735878,
0.08069537580013275,
-0.04564974084496498,
-0.019135409966111183,
-0.0363992340862751,
0.031092779710888863,
0.04180770739912987,
-0.03635290265083313,
-0.02606169879436493,
0.036960896104574203,
0.018029630184173584,
-0.008192635141313076,
0.03574225306510925,
-0.0448787696659565,
0.12257938832044601,
-0.036320168524980545,
0.07603829354047775,
-0.01514156349003315,
-0.0019980361685156822,
0.05538157746195793,
-0.059435270726680756,
0.05066952109336853,
-0.003665799042209983,
0.00643207086250186,
-0.043021801859140396,
-0.07011347264051437,
0.03973770514130592,
0.024054989218711853,
0.07776346057653427,
-0.06458758562803268,
0.05213109031319618,
-0.0903061032295227,
0.015299852937459946,
-0.04930367320775986,
-0.04017120972275734,
-0.09808682650327682,
-0.014455998316407204,
-0.00018115407146979123,
0.04707171395421028,
0.012911979109048843,
0.107148177921772,
0.01701531559228897,
0.006981493439525366,
0.023074761033058167,
0.034613870084285736,
0.0131208011880517,
-0.05213015526533127,
-0.03639068454504013,
-0.01864013820886612,
0.10061052441596985,
0.01609623059630394,
0.009941913187503815,
0.03740057349205017,
0.02455422282218933,
0.043333590030670166,
0.013684106059372425,
-0.046615879982709885,
-0.005993030499666929,
-0.040809210389852524,
-0.010027646087110043,
0.010410935617983341,
-0.13801583647727966,
0.07235988229513168,
-0.05177934467792511,
-0.13357865810394287,
0.07475820183753967,
-0.08509761840105057,
0.003301555523648858,
-0.036155831068754196,
0.010688813403248787,
0.0025004399940371513,
-0.05580034479498863,
0.03533482551574707,
-0.06949948519468307,
0.09055903553962708,
0.039264317601919174,
-2.735624779571028e-33,
-0.00815467070788145,
0.07583986222743988,
0.07570311427116394,
-0.025758741423487663,
0.021761316806077957,
-0.017996400594711304,
-0.015437192283570766,
-0.09282483160495758,
0.05854979157447815,
0.0493612065911293,
-0.1803974062204361,
0.0339033417403698,
0.0581941083073616,
-0.04672981798648834,
0.04557794705033302,
-0.041690122336149216,
-0.010899300687015057,
-0.05695982649922371,
-0.01979357935488224,
-0.03847534954547882,
-0.10438250750303268,
0.02357172966003418,
-0.08153853565454483,
-0.07903025299310684,
0.059128206223249435,
0.02113826759159565,
0.024482298642396927,
-0.017710305750370026,
-0.05573219060897827,
0.01811615750193596,
-0.05150173231959343,
-0.10829425603151321,
-0.0684833973646164,
-0.04308285936713219,
0.0009040763252414763,
0.07335085421800613,
-0.03460833802819252,
0.10717344284057617,
0.013624139130115509,
0.014382232911884785,
0.021485550329089165,
-0.051104262471199036,
0.02301197126507759,
0.03757734224200249,
0.04923490062355995,
0.04981369152665138,
-0.03086775541305542,
-0.009680706076323986,
-0.0721626803278923,
-0.016629520803689957,
0.024651654064655304,
0.08868764340877533,
-0.015613961033523083,
0.08160483837127686,
0.019955597817897797,
0.10402967780828476,
0.012498775497078896,
-0.00594955962151289,
0.12049645930528641,
-0.026427648961544037,
0.01819242537021637,
0.0013071041321381927,
-0.04909692704677582,
0.08442659676074982,
-0.04156016930937767,
-0.08334679901599884,
-0.05184166133403778,
-0.12737639248371124,
-0.055307164788246155,
0.015963170677423477,
0.04921150952577591,
0.03674117475748062,
-0.018366985023021698,
0.0031201320234686136,
-0.011113915592432022,
-0.07632490247488022,
0.017509890720248222,
0.0745694488286972,
0.05502834916114807,
-0.05468951538205147,
-0.08796299993991852,
0.004248965997248888,
0.030923958867788315,
0.023910392075777054,
-0.046381592750549316,
-0.06737709790468216,
0.05060001090168953,
0.01989109441637993,
-0.06179756671190262,
0.08651123940944672,
-0.024481073021888733,
0.0529826320707798,
-0.04047934338450432,
0.0070760827511549,
-0.10859682410955429,
-4.708798329033925e-8,
-0.07969221472740173,
-0.00011453634942881763,
-0.038093071430921555,
0.00719782430678606,
0.013268113136291504,
0.00381057639606297,
0.04981943592429161,
0.0665777400135994,
-0.1112753301858902,
0.06664691120386124,
0.0005010163295082748,
0.016096482053399086,
0.019225047901272774,
0.07936790585517883,
-0.07939483225345612,
0.03196443244814873,
-0.013427559286355972,
-0.030248144641518593,
-0.06293381005525589,
0.001265231054276228,
-0.03298252820968628,
0.03376419097185135,
-0.06778637319803238,
0.04524054005742073,
0.07404854148626328,
0.01444767415523529,
-0.019330481067299843,
0.029550470411777496,
0.034179527312517166,
-0.011133071035146713,
-0.0265937689691782,
0.05037447810173035,
0.02743871696293354,
0.05812948942184448,
0.0927671566605568,
-0.03304724395275116,
-0.03162547945976257,
0.06304322928190231,
0.009459682740271091,
0.059815868735313416,
-0.0011031274916604161,
0.01277674175798893,
-0.006978345103561878,
-0.004077001009136438,
0.15030625462532043,
0.05300278589129448,
-0.0830913633108139,
-0.007570860907435417,
-0.018612181767821312,
-0.060272280126810074,
-0.07684502005577087,
-0.07051471620798111,
-0.05324111878871918,
0.009441730566322803,
0.00986482948064804,
-0.038421694189310074,
-0.005225007887929678,
-0.08429714292287827,
0.04783802106976509,
-0.03322373330593109,
-0.0399329848587513,
0.03372010216116905,
-0.06320726126432419,
-0.0364144891500473
] |
1401.1687 | Valery Shchesnovich | S. C. Fern\'andez and V. S. Shchesnovich | Nondecaying linear and nonlinear modes in a periodic array of spatially
localized dissipations | 20 pages, 11 figures (best viewed in color). Accepted to Journal of
Physics A: Mathematical and Theoretical | null | 10.1088/1751-8113/47/8/085202 | null | math-ph math.MP nlin.PS physics.optics quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate the existence of extremely weakly decaying linear and
nonlinear modes (i.e. modes immune to dissipation) in the one-dimensional
periodic array of identical spatially localized dissipations, where the
dissipation width is much smaller than the period of the array. We consider
wave propagation governed by the one-dimensional Schr\"odinger equation in the
array of identical Gaussian-shaped dissipations with three parameters, the
integral dissipation strength $\Gamma_0$, the width $\sigma$ and the array
period $d$. In the linear case, setting $\sigma\to0$, while keeping $\Gamma_0$
fixed, we get an array of zero-width dissipations given by the Dirac
delta-functions, i.e. the complex Kroning-Penney model, where an infinite
number of nondecaying modes appear with the Bloch index being either at the
center, $k= 0$, or at the boundary, $k= \pi/d $, of an analog of the Brillouin
zone. By using numerical simulations we confirm that the weakly decaying modes
persist for $\sigma$ such that $\sigma/d\ll1$ and have the same Bloch index.
The nondecaying modes persist also if a real-valued periodic potential is added
to the spatially periodic array of dissipations, with the period of the
dissipative array being multiple of that of the periodic potential. We also
consider evolution of the soliton-shaped pulses in the nonlinear Schr\"odinger
equation with the spatially periodic dissipative lattice and find that when the
pulse width is much larger than the lattice period and its wave number $k$ is
either at the center, $k= 2\pi/d$, or at the boundary, $k= \pi/d $, a
significant fraction of the pulse escapes the dissipation forming a stationary
nonlinear mode with the soliton shaped envelope and the Fourier spectrum
consisting of two peaks centered at $k $ and $-k$.
| [
{
"created": "Wed, 8 Jan 2014 13:02:02 GMT",
"version": "v1"
}
] | 2014-03-05 | [
[
"Fernández",
"S. C.",
""
],
[
"Shchesnovich",
"V. S.",
""
]
] | [
-0.06267113238573074,
-0.027886690571904182,
0.03501897305250168,
0.07326901704072952,
-0.03996254503726959,
-0.0687628909945488,
-0.010149948298931122,
-0.05163783207535744,
-0.01958208531141281,
-0.012340457178652287,
0.03754696995019913,
-0.009430751204490662,
-0.0190576259046793,
-0.07223480939865112,
0.08661418408155441,
-0.011459426954388618,
-0.027514100074768066,
-0.03330792859196663,
-0.026792490854859352,
0.0879971832036972,
0.04329776018857956,
-0.01086491346359253,
-0.11916205286979675,
-0.01252338383346796,
0.034451838582754135,
0.04645141214132309,
0.057025231420993805,
-0.04380672425031662,
0.05024658888578415,
0.009871487505733967,
0.08717095106840134,
-0.017191676422953606,
-0.09630525857210159,
0.07983095943927765,
-0.034341249614953995,
-0.011913145892322063,
0.04090781509876251,
0.0386815145611763,
0.001413536723703146,
0.030792394652962685,
0.007823547348380089,
0.16556823253631592,
-0.02327680215239525,
0.015782639384269714,
0.03332049772143364,
-0.07979149371385574,
-0.03592976555228233,
-0.03868820518255234,
-0.02820426970720291,
-0.03928807005286217,
0.06629930436611176,
0.06517773866653442,
0.08011461049318314,
0.07722093909978867,
0.02511196956038475,
-0.04468875005841255,
0.0354340597987175,
0.09676353633403778,
-0.007735528517514467,
-0.04757819324731827,
0.044569484889507294,
0.012579770758748055,
-0.02695455402135849,
-0.044288262724876404,
0.009122033603489399,
0.012831009924411774,
-0.008321038447320461,
0.019977429881691933,
0.006989392917603254,
0.06116105616092682,
-0.030530301854014397,
-0.018502933904528618,
-0.02233966626226902,
0.041409775614738464,
0.08786454796791077,
0.004458017181605101,
-0.10163524746894836,
0.01021692156791687,
0.019452476873993874,
0.04795968532562256,
0.006940904073417187,
-0.038337863981723785,
-0.005791224539279938,
-0.042457740753889084,
-0.04968631640076637,
0.04598924517631531,
-0.05453935265541077,
-0.005063536111265421,
0.02735636569559574,
-0.08210218697786331,
0.038079775869846344,
0.0478835329413414,
0.027140501886606216,
-0.050086431205272675,
-0.02110026590526104,
-0.02052813395857811,
-0.010941900312900543,
0.10465885698795319,
0.03305641934275627,
0.018393555656075478,
0.01187203824520111,
-0.1103551909327507,
-0.02918478101491928,
0.08376100659370422,
-0.004208924248814583,
0.000658492383081466,
0.007735211867839098,
0.006423397455364466,
-0.11511668562889099,
0.03692763298749924,
0.000016232846974162385,
0.02558836340904236,
0.024316862225532532,
0.007226077374070883,
-0.03448626771569252,
-0.015262899920344353,
0.019012030214071274,
0.10516805201768875,
0.04165618121623993,
0.046277958899736404,
0.029381176456809044,
0.051238689571619034,
-0.014704791828989983,
-0.0031925553921610117,
-0.0016645713476464152,
0.06810522824525833,
-0.003158498089760542,
1.4376238972548958e-33,
0.048173725605010986,
0.005549098830670118,
-0.0021158757153898478,
-0.016696425154805183,
0.038941945880651474,
-0.025344474241137505,
0.020544083788990974,
0.02566288597881794,
0.024831082671880722,
-0.014231939800083637,
0.0017732434207573533,
0.05790174379944801,
-0.03649270534515381,
-0.024566687643527985,
0.05428268387913704,
0.07538198679685593,
-0.007786101195961237,
-0.06365153193473816,
0.030212068930268288,
0.01256356667727232,
0.0994991809129715,
0.026945017278194427,
0.03369951248168945,
-0.04517972841858864,
0.00039170574746094644,
-0.051541633903980255,
0.021596109494566917,
-0.004291675053536892,
-0.11872046440839767,
0.04617000371217728,
-0.017016081139445305,
0.04529991000890732,
-0.019126687198877335,
-0.03407733142375946,
0.06977614760398865,
-0.013183098286390305,
0.025798508897423744,
0.05203041061758995,
0.040844328701496124,
-0.02879524789750576,
-0.11065429449081421,
-0.06683839857578278,
-0.040872346609830856,
0.15682773292064667,
0.015558025799691677,
-0.057151515036821365,
0.13579243421554565,
0.018190694972872734,
-0.047669511288404465,
-0.047427281737327576,
-0.029747869819402695,
-0.09150787442922592,
-0.07117237150669098,
0.038605254143476486,
0.04464523866772652,
-0.04921424388885498,
0.07860231399536133,
-0.11311042308807373,
0.022905370220541954,
0.008904465474188328,
0.07643405348062515,
-0.022702977061271667,
0.05916370823979378,
0.017010588198900223,
-0.02730008400976658,
-0.07209303975105286,
-0.0516698881983757,
-0.02642034739255905,
-0.014039477333426476,
-0.062278758734464645,
0.06593675166368484,
0.010140437632799149,
0.019151050597429276,
-0.06382149457931519,
0.08077035844326019,
-0.118028424680233,
0.023822622373700142,
-0.00027898329426534474,
-0.08019838482141495,
0.02080589346587658,
-0.003708246164023876,
-0.13482072949409485,
-0.06197323277592659,
0.09317654371261597,
0.016281859949231148,
-0.034826621413230896,
-0.053121138364076614,
-0.09233343601226807,
-0.08400771766901016,
-0.0882749930024147,
-0.023760363459587097,
-0.07158146053552628,
0.05313819274306297,
-0.035736702382564545,
-0.010623927228152752,
-3.156173311941056e-33,
0.02070591226220131,
0.02379481866955757,
-0.01711585558950901,
0.02953844517469406,
-0.030671391636133194,
0.06531229615211487,
0.0326974019408226,
0.11705014854669571,
0.039425935596227646,
-0.06481582671403885,
0.07366858422756195,
0.0696173757314682,
-0.05872229114174843,
0.01717507839202881,
-0.012826304882764816,
-0.03927211835980415,
0.12462501972913742,
0.030085228383541107,
0.01683921180665493,
-0.025888778269290924,
-0.02387026511132717,
-0.057703036814928055,
-0.04849250614643097,
-0.003220506478101015,
-0.014516633003950119,
0.00043516396544873714,
-0.012534957379102707,
0.01966260001063347,
0.03743017092347145,
0.08810902386903763,
0.0006545006763190031,
0.021347573027014732,
0.07301445305347443,
-0.049935802817344666,
-0.06133262813091278,
0.0622435100376606,
-0.010298948734998703,
0.018547311425209045,
-0.0011974944500252604,
-0.057731714099645615,
-0.006781887728720903,
0.01847480982542038,
0.04421978443861008,
-0.007018548436462879,
0.0094040771946311,
-0.03334556519985199,
-0.0038468767888844013,
-0.019466400146484375,
-0.05529177933931351,
0.00837223045527935,
0.02994493767619133,
-0.010009875521063805,
-0.0034645255655050278,
0.11643532663583755,
-0.022352611646056175,
0.005202160216867924,
-0.07977865636348724,
0.02875153161585331,
0.025516359135508537,
0.01156703196465969,
-0.09981053322553635,
-0.08275680989027023,
0.04700836166739464,
0.06649383902549744,
0.003625962184742093,
-0.04097214341163635,
-0.08819672465324402,
0.014086198061704636,
0.003611552296206355,
-0.06368076056241989,
-0.01794697344303131,
-0.034858182072639465,
0.020290648564696312,
0.028303159400820732,
-0.0473506823182106,
0.02695414423942566,
0.03626656532287598,
-0.05962992459535599,
-0.04551474004983902,
0.07582543045282364,
-0.0008387883426621556,
0.03151104599237442,
-0.0387568362057209,
-0.044441889971494675,
0.056099407374858856,
-0.011376653797924519,
-0.06826714426279068,
-0.011560384184122086,
-0.009559890255331993,
0.06111116334795952,
0.02459174580872059,
-0.018170619383454323,
-0.01882319152355194,
-0.03521179407835007,
0.12178553640842438,
-5.847611816989229e-8,
0.03449932858347893,
0.005227767396718264,
-0.056405700743198395,
-0.01753905601799488,
0.04812711849808693,
-0.09292237460613251,
-0.02653617039322853,
-0.09598910808563232,
0.035410281270742416,
0.024516994133591652,
0.10129296779632568,
0.046855952590703964,
-0.0392160564661026,
-0.06573010236024857,
-0.016545498743653297,
0.03331645950675011,
0.036207858473062515,
-0.0419752337038517,
0.017569106072187424,
0.025969019159674644,
-0.04292910173535347,
-0.029650719836354256,
-0.0480952262878418,
-0.07883749902248383,
0.022926177829504013,
-0.04067682474851608,
-0.10841543227434158,
-0.09067244082689285,
0.009582588449120522,
0.038529377430677414,
0.004005508963018656,
0.008371354080736637,
0.04415503516793251,
0.08462699502706528,
-0.08311799168586731,
-0.03976321220397949,
-0.03534213453531265,
0.029062464833259583,
0.022410592064261436,
-0.05852677673101425,
-0.01083558239042759,
0.03679897263646126,
0.0027767643332481384,
0.005003321450203657,
0.08583153039216995,
0.04511154443025589,
0.005224199499934912,
0.08777273446321487,
0.028388699516654015,
0.0571124367415905,
-0.04713548719882965,
0.019976822659373283,
0.009678220376372337,
-0.027355367317795753,
0.014792906120419502,
-0.0837746113538742,
-0.05946327745914459,
-0.012848739512264729,
0.03740468621253967,
-0.006512787193059921,
0.05160467326641083,
-0.02323463000357151,
-0.0642247349023819,
0.04743378236889839
] | null | null | null | null | null | null | null | [
-0.06267113238573074,
-0.027886690571904182,
0.03501897305250168,
0.07326901704072952,
-0.03996254503726959,
-0.0687628909945488,
-0.010149948298931122,
-0.05163783207535744,
-0.01958208531141281,
-0.012340457178652287,
0.03754696995019913,
-0.009430751204490662,
-0.0190576259046793,
-0.07223480939865112,
0.08661418408155441,
-0.011459426954388618,
-0.027514100074768066,
-0.03330792859196663,
-0.026792490854859352,
0.0879971832036972,
0.04329776018857956,
-0.01086491346359253,
-0.11916205286979675,
-0.01252338383346796,
0.034451838582754135,
0.04645141214132309,
0.057025231420993805,
-0.04380672425031662,
0.05024658888578415,
0.009871487505733967,
0.08717095106840134,
-0.017191676422953606,
-0.09630525857210159,
0.07983095943927765,
-0.034341249614953995,
-0.011913145892322063,
0.04090781509876251,
0.0386815145611763,
0.001413536723703146,
0.030792394652962685,
0.007823547348380089,
0.16556823253631592,
-0.02327680215239525,
0.015782639384269714,
0.03332049772143364,
-0.07979149371385574,
-0.03592976555228233,
-0.03868820518255234,
-0.02820426970720291,
-0.03928807005286217,
0.06629930436611176,
0.06517773866653442,
0.08011461049318314,
0.07722093909978867,
0.02511196956038475,
-0.04468875005841255,
0.0354340597987175,
0.09676353633403778,
-0.007735528517514467,
-0.04757819324731827,
0.044569484889507294,
0.012579770758748055,
-0.02695455402135849,
-0.044288262724876404,
0.009122033603489399,
0.012831009924411774,
-0.008321038447320461,
0.019977429881691933,
0.006989392917603254,
0.06116105616092682,
-0.030530301854014397,
-0.018502933904528618,
-0.02233966626226902,
0.041409775614738464,
0.08786454796791077,
0.004458017181605101,
-0.10163524746894836,
0.01021692156791687,
0.019452476873993874,
0.04795968532562256,
0.006940904073417187,
-0.038337863981723785,
-0.005791224539279938,
-0.042457740753889084,
-0.04968631640076637,
0.04598924517631531,
-0.05453935265541077,
-0.005063536111265421,
0.02735636569559574,
-0.08210218697786331,
0.038079775869846344,
0.0478835329413414,
0.027140501886606216,
-0.050086431205272675,
-0.02110026590526104,
-0.02052813395857811,
-0.010941900312900543,
0.10465885698795319,
0.03305641934275627,
0.018393555656075478,
0.01187203824520111,
-0.1103551909327507,
-0.02918478101491928,
0.08376100659370422,
-0.004208924248814583,
0.000658492383081466,
0.007735211867839098,
0.006423397455364466,
-0.11511668562889099,
0.03692763298749924,
0.000016232846974162385,
0.02558836340904236,
0.024316862225532532,
0.007226077374070883,
-0.03448626771569252,
-0.015262899920344353,
0.019012030214071274,
0.10516805201768875,
0.04165618121623993,
0.046277958899736404,
0.029381176456809044,
0.051238689571619034,
-0.014704791828989983,
-0.0031925553921610117,
-0.0016645713476464152,
0.06810522824525833,
-0.003158498089760542,
1.4376238972548958e-33,
0.048173725605010986,
0.005549098830670118,
-0.0021158757153898478,
-0.016696425154805183,
0.038941945880651474,
-0.025344474241137505,
0.020544083788990974,
0.02566288597881794,
0.024831082671880722,
-0.014231939800083637,
0.0017732434207573533,
0.05790174379944801,
-0.03649270534515381,
-0.024566687643527985,
0.05428268387913704,
0.07538198679685593,
-0.007786101195961237,
-0.06365153193473816,
0.030212068930268288,
0.01256356667727232,
0.0994991809129715,
0.026945017278194427,
0.03369951248168945,
-0.04517972841858864,
0.00039170574746094644,
-0.051541633903980255,
0.021596109494566917,
-0.004291675053536892,
-0.11872046440839767,
0.04617000371217728,
-0.017016081139445305,
0.04529991000890732,
-0.019126687198877335,
-0.03407733142375946,
0.06977614760398865,
-0.013183098286390305,
0.025798508897423744,
0.05203041061758995,
0.040844328701496124,
-0.02879524789750576,
-0.11065429449081421,
-0.06683839857578278,
-0.040872346609830856,
0.15682773292064667,
0.015558025799691677,
-0.057151515036821365,
0.13579243421554565,
0.018190694972872734,
-0.047669511288404465,
-0.047427281737327576,
-0.029747869819402695,
-0.09150787442922592,
-0.07117237150669098,
0.038605254143476486,
0.04464523866772652,
-0.04921424388885498,
0.07860231399536133,
-0.11311042308807373,
0.022905370220541954,
0.008904465474188328,
0.07643405348062515,
-0.022702977061271667,
0.05916370823979378,
0.017010588198900223,
-0.02730008400976658,
-0.07209303975105286,
-0.0516698881983757,
-0.02642034739255905,
-0.014039477333426476,
-0.062278758734464645,
0.06593675166368484,
0.010140437632799149,
0.019151050597429276,
-0.06382149457931519,
0.08077035844326019,
-0.118028424680233,
0.023822622373700142,
-0.00027898329426534474,
-0.08019838482141495,
0.02080589346587658,
-0.003708246164023876,
-0.13482072949409485,
-0.06197323277592659,
0.09317654371261597,
0.016281859949231148,
-0.034826621413230896,
-0.053121138364076614,
-0.09233343601226807,
-0.08400771766901016,
-0.0882749930024147,
-0.023760363459587097,
-0.07158146053552628,
0.05313819274306297,
-0.035736702382564545,
-0.010623927228152752,
-3.156173311941056e-33,
0.02070591226220131,
0.02379481866955757,
-0.01711585558950901,
0.02953844517469406,
-0.030671391636133194,
0.06531229615211487,
0.0326974019408226,
0.11705014854669571,
0.039425935596227646,
-0.06481582671403885,
0.07366858422756195,
0.0696173757314682,
-0.05872229114174843,
0.01717507839202881,
-0.012826304882764816,
-0.03927211835980415,
0.12462501972913742,
0.030085228383541107,
0.01683921180665493,
-0.025888778269290924,
-0.02387026511132717,
-0.057703036814928055,
-0.04849250614643097,
-0.003220506478101015,
-0.014516633003950119,
0.00043516396544873714,
-0.012534957379102707,
0.01966260001063347,
0.03743017092347145,
0.08810902386903763,
0.0006545006763190031,
0.021347573027014732,
0.07301445305347443,
-0.049935802817344666,
-0.06133262813091278,
0.0622435100376606,
-0.010298948734998703,
0.018547311425209045,
-0.0011974944500252604,
-0.057731714099645615,
-0.006781887728720903,
0.01847480982542038,
0.04421978443861008,
-0.007018548436462879,
0.0094040771946311,
-0.03334556519985199,
-0.0038468767888844013,
-0.019466400146484375,
-0.05529177933931351,
0.00837223045527935,
0.02994493767619133,
-0.010009875521063805,
-0.0034645255655050278,
0.11643532663583755,
-0.022352611646056175,
0.005202160216867924,
-0.07977865636348724,
0.02875153161585331,
0.025516359135508537,
0.01156703196465969,
-0.09981053322553635,
-0.08275680989027023,
0.04700836166739464,
0.06649383902549744,
0.003625962184742093,
-0.04097214341163635,
-0.08819672465324402,
0.014086198061704636,
0.003611552296206355,
-0.06368076056241989,
-0.01794697344303131,
-0.034858182072639465,
0.020290648564696312,
0.028303159400820732,
-0.0473506823182106,
0.02695414423942566,
0.03626656532287598,
-0.05962992459535599,
-0.04551474004983902,
0.07582543045282364,
-0.0008387883426621556,
0.03151104599237442,
-0.0387568362057209,
-0.044441889971494675,
0.056099407374858856,
-0.011376653797924519,
-0.06826714426279068,
-0.011560384184122086,
-0.009559890255331993,
0.06111116334795952,
0.02459174580872059,
-0.018170619383454323,
-0.01882319152355194,
-0.03521179407835007,
0.12178553640842438,
-5.847611816989229e-8,
0.03449932858347893,
0.005227767396718264,
-0.056405700743198395,
-0.01753905601799488,
0.04812711849808693,
-0.09292237460613251,
-0.02653617039322853,
-0.09598910808563232,
0.035410281270742416,
0.024516994133591652,
0.10129296779632568,
0.046855952590703964,
-0.0392160564661026,
-0.06573010236024857,
-0.016545498743653297,
0.03331645950675011,
0.036207858473062515,
-0.0419752337038517,
0.017569106072187424,
0.025969019159674644,
-0.04292910173535347,
-0.029650719836354256,
-0.0480952262878418,
-0.07883749902248383,
0.022926177829504013,
-0.04067682474851608,
-0.10841543227434158,
-0.09067244082689285,
0.009582588449120522,
0.038529377430677414,
0.004005508963018656,
0.008371354080736637,
0.04415503516793251,
0.08462699502706528,
-0.08311799168586731,
-0.03976321220397949,
-0.03534213453531265,
0.029062464833259583,
0.022410592064261436,
-0.05852677673101425,
-0.01083558239042759,
0.03679897263646126,
0.0027767643332481384,
0.005003321450203657,
0.08583153039216995,
0.04511154443025589,
0.005224199499934912,
0.08777273446321487,
0.028388699516654015,
0.0571124367415905,
-0.04713548719882965,
0.019976822659373283,
0.009678220376372337,
-0.027355367317795753,
0.014792906120419502,
-0.0837746113538742,
-0.05946327745914459,
-0.012848739512264729,
0.03740468621253967,
-0.006512787193059921,
0.05160467326641083,
-0.02323463000357151,
-0.0642247349023819,
0.04743378236889839
] |
1401.1690 | Sergey Andreyev | Sergey Andreyev | Tendencies, Dead-ends, and Promising Ways. From Interface Ideas to New
Programs | 5 pages | null | null | null | cs.HC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The mechanism of communication between users and devices is called interface.
From time to time changes in interface significantly improve our work with
computers even without any serious changes in programs themselves. Main ideas
in PCs interface were introduced many years ago and since then there are no
significant changes, while new devices show promising ways by using direct
manipulation of screen objects. Users' direct action with all the screen
objects of our ordinary PCs turns standard screens into touch screens of very
high resolution and not only changes the interface of familiar programs but
creates the new type of programs: user-driven applications.
| [
{
"created": "Wed, 8 Jan 2014 13:22:42 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Andreyev",
"Sergey",
""
]
] | [
-0.04640382528305054,
0.011804486624896526,
0.05418241024017334,
-0.087593674659729,
-0.036534518003463745,
-0.07312725484371185,
0.08298677206039429,
0.07649102061986923,
0.0021899593994021416,
-0.015256871469318867,
0.006675661541521549,
0.027738988399505615,
0.006352233700454235,
0.027935117483139038,
0.02047611214220524,
-0.07023853063583374,
0.057277463376522064,
-0.10757042467594147,
0.015185217373073101,
0.046000633388757706,
0.044661346822977066,
-0.010873744264245033,
-0.05962678790092468,
-0.06819230318069458,
-0.037837542593479156,
-0.014243160374462605,
0.038804635405540466,
-0.04271264746785164,
-0.006227984558790922,
-0.004780810326337814,
-0.012624726630747318,
0.07338660955429077,
0.01993078738451004,
0.0615411214530468,
-0.1663333922624588,
-0.04469536244869232,
0.01195618137717247,
-0.03421284258365631,
-0.1303386390209198,
-0.13642829656600952,
-0.08808915317058563,
-0.06053062155842781,
0.002176220528781414,
0.0932183787226677,
-0.0006291315075941384,
-0.047854065895080566,
-0.054150741547346115,
-0.0046980413608253,
-0.025808874517679214,
-0.016898129135370255,
-0.07005557417869568,
-0.009722012095153332,
0.023294033482670784,
-0.03926755115389824,
-0.0013836047146469355,
0.011474174447357655,
0.059750985354185104,
0.12172658741474152,
0.05461695045232773,
0.04251221567392349,
0.015342433005571365,
0.05467172712087631,
0.038658708333969116,
0.024306071922183037,
0.0287821926176548,
-0.006565663032233715,
0.029156183823943138,
-0.049399394541978836,
0.058192044496536255,
-0.07690463215112686,
-0.07377999275922775,
0.013948398642241955,
-0.00549550075083971,
-0.04858560487627983,
-0.03576023504137993,
-0.12960049510002136,
-0.11616376787424088,
-0.024222802370786667,
-0.02931399829685688,
-0.038430482149124146,
0.0005198463913984597,
0.03428254649043083,
-0.04932985082268715,
0.01726388745009899,
-0.017072103917598724,
0.01344125997275114,
-0.02567553147673607,
-0.012146110646426678,
-0.012166270054876804,
0.0004660906852222979,
-0.0506545752286911,
0.0037582821678370237,
-0.020142583176493645,
-0.04663429409265518,
-0.07949251681566238,
-0.09403058141469955,
0.07616528868675232,
-0.0949847474694252,
-0.02469450980424881,
0.08164280652999878,
0.009728328324854374,
0.0212235189974308,
0.01603425294160843,
-0.01572812907397747,
0.020081982016563416,
-0.045671653002500534,
-0.007611113600432873,
-0.10023116320371628,
-0.08548586815595627,
0.05655863508582115,
-0.04368998482823372,
-0.048499565571546555,
-0.157197043299675,
-0.03599165752530098,
0.020517079159617424,
-0.041927650570869446,
-0.027518823742866516,
0.04140832647681236,
0.05050181224942207,
0.008819986134767532,
0.044072557240724564,
-0.012613067403435707,
-0.06274030357599258,
-0.02490892820060253,
0.06922563910484314,
0.004799060523509979,
-0.04302731901407242,
6.414342799335023e-33,
-0.004527769982814789,
-0.03571578115224838,
-0.018140142783522606,
0.07959791272878647,
-0.008350356481969357,
-0.014786033891141415,
0.034203916788101196,
0.013949642889201641,
0.0442163459956646,
-0.07963989675045013,
0.06370049715042114,
0.09150844812393188,
0.037737078964710236,
0.09912106394767761,
0.11330596357584,
-0.0200774185359478,
-0.04279756173491478,
0.07348982989788055,
0.022773664444684982,
-0.019592702388763428,
-0.0339377261698246,
-0.01357697881758213,
0.034613464027643204,
-0.02291947416961193,
0.03422098606824875,
0.05167267844080925,
-0.050256725400686264,
0.03750835359096527,
0.10040714591741562,
-0.024202387779951096,
-0.00913950614631176,
-0.003154407488182187,
0.0653543770313263,
-0.02783910185098648,
-0.04314098879694939,
-0.0370141863822937,
0.014024433679878712,
-0.10744748264551163,
0.09467475861310959,
0.028727998957037926,
-0.05994274094700813,
-0.024713164195418358,
0.03939777985215187,
-0.04193071275949478,
-0.009035679511725903,
0.0383865088224411,
-0.013903006911277771,
0.051404304802417755,
-0.10419914871454239,
-0.039555665105581284,
-0.024841707199811935,
-0.015745745971798897,
0.05250659957528114,
-0.038986776024103165,
-0.034494467079639435,
-0.05622561648488045,
-0.007971519604325294,
-0.006838120054453611,
-0.002107195323333144,
0.012506571598351002,
0.014180831611156464,
0.06130928546190262,
-0.022171584889292717,
0.07886514067649841,
-0.02138504758477211,
0.01035505160689354,
0.08489427715539932,
0.05756127089262009,
-0.05336454138159752,
0.022826185449957848,
-0.09241801500320435,
0.021423103287816048,
-0.03724002093076706,
0.031554412096738815,
0.01283783558756113,
0.009014190174639225,
-0.038649238646030426,
0.020851803943514824,
-0.05435943603515625,
0.014162974432110786,
-0.038391824811697006,
-0.030955525115132332,
-0.016650650650262833,
-0.043073493987321854,
0.02458237111568451,
-0.01489186566323042,
-0.062425922602415085,
-0.05690969154238701,
-0.0475202240049839,
0.019373249262571335,
-0.046583227813243866,
0.005806062836199999,
0.010680951178073883,
0.05416693910956383,
0.02270549349486828,
-9.148176786730971e-33,
-0.02096855640411377,
0.01542145200073719,
-0.0813993513584137,
-0.02547552064061165,
-0.011266924440860748,
-0.015348527580499649,
0.061677075922489166,
-0.030873900279402733,
-0.05947522446513176,
-0.014949672855436802,
-0.034934889525175095,
0.010943902656435966,
0.0311431922018528,
-0.023810170590877533,
-0.020845603197813034,
0.023569785058498383,
0.022618528455495834,
-0.013571207411587238,
-0.07868152111768723,
-0.017222819849848747,
-0.005870102904736996,
0.04641256481409073,
0.019342508167028427,
-0.07637578994035721,
-0.025226932018995285,
-0.09340889751911163,
-0.004448683932423592,
0.030417021363973618,
0.001440003514289856,
-0.0021885340102016926,
0.008227838203310966,
-0.02564758062362671,
0.03221791982650757,
0.01062287762761116,
0.10228393971920013,
0.012328664772212505,
0.019982287660241127,
-0.03395083174109459,
-0.010414940305054188,
0.01348167099058628,
0.10906160622835159,
0.02918887510895729,
0.015262734144926071,
0.06481873244047165,
0.03328573331236839,
0.025496812537312508,
-0.15956458449363708,
-0.026287714019417763,
-0.05574718490242958,
-0.023975824937224388,
0.04018476605415344,
-0.007681754417717457,
0.08358490467071533,
-0.15888133645057678,
-0.03285565972328186,
0.03811102733016014,
0.06315432488918304,
0.006924928165972233,
0.07281611859798431,
0.007318635005503893,
0.04278620705008507,
-0.1045149564743042,
-0.030780155211687088,
-0.01888400875031948,
0.0063603888265788555,
0.06726466864347458,
0.004105010069906712,
0.010587962344288826,
0.021215474233031273,
-0.011583474464714527,
0.12763597071170807,
-0.04977429658174515,
-0.021626362577080727,
-0.03240656107664108,
0.028018731623888016,
0.0421798899769783,
0.021093841642141342,
-0.05773192271590233,
-0.0348237082362175,
-0.02233647182583809,
0.058033477514982224,
0.06561095267534256,
0.09413023293018341,
0.022885195910930634,
-0.009785661473870277,
0.044072624295949936,
-0.06703485548496246,
0.04964718595147133,
0.03317098319530487,
-0.008043223060667515,
-0.05645303055644035,
0.06893198937177658,
0.0030062829609960318,
0.0656135305762291,
-0.037433505058288574,
-5.095238719832196e-8,
-0.013043192215263844,
0.0031676506623625755,
0.0915672555565834,
0.014695411548018456,
-0.014397358521819115,
0.009248791262507439,
0.00612685875967145,
-0.03733645752072334,
0.04098402336239815,
-0.029065387323498726,
-0.0740887001156807,
-0.024023307487368584,
0.036477625370025635,
0.032217513769865036,
0.17419210076332092,
0.0818835124373436,
-0.010379006154835224,
-0.013269930146634579,
-0.05780857801437378,
-0.022389104589819908,
0.04811506345868111,
-0.01827727071940899,
0.0014587840996682644,
0.06937172263860703,
0.045182351022958755,
-0.017009226605296135,
0.02341337688267231,
0.043091580271720886,
-0.03661883994936943,
0.011430567130446434,
0.03117581456899643,
0.004880047403275967,
0.008842951618134975,
0.08916838467121124,
0.05298452451825142,
0.019633816555142403,
0.005254093091934919,
-0.0069981226697564125,
0.09219029545783997,
-0.03216167539358139,
-0.05846003443002701,
-0.06633462756872177,
-0.08906930685043335,
0.03397234529256821,
0.006110694725066423,
0.009730511344969273,
-0.010166151449084282,
-0.056421007961034775,
-0.03556744009256363,
0.012815984897315502,
-0.05275861546397209,
0.04891328886151314,
0.033449895679950714,
0.00814974308013916,
0.06464802473783493,
0.018888410180807114,
0.06419682502746582,
0.0045619686134159565,
0.0760427787899971,
0.05019181966781616,
0.018416432663798332,
0.08971808850765228,
0.042736247181892395,
0.045520294457674026
] | null | null | null | null | null | null | null | [
-0.04640382528305054,
0.011804486624896526,
0.05418241024017334,
-0.087593674659729,
-0.036534518003463745,
-0.07312725484371185,
0.08298677206039429,
0.07649102061986923,
0.0021899593994021416,
-0.015256871469318867,
0.006675661541521549,
0.027738988399505615,
0.006352233700454235,
0.027935117483139038,
0.02047611214220524,
-0.07023853063583374,
0.057277463376522064,
-0.10757042467594147,
0.015185217373073101,
0.046000633388757706,
0.044661346822977066,
-0.010873744264245033,
-0.05962678790092468,
-0.06819230318069458,
-0.037837542593479156,
-0.014243160374462605,
0.038804635405540466,
-0.04271264746785164,
-0.006227984558790922,
-0.004780810326337814,
-0.012624726630747318,
0.07338660955429077,
0.01993078738451004,
0.0615411214530468,
-0.1663333922624588,
-0.04469536244869232,
0.01195618137717247,
-0.03421284258365631,
-0.1303386390209198,
-0.13642829656600952,
-0.08808915317058563,
-0.06053062155842781,
0.002176220528781414,
0.0932183787226677,
-0.0006291315075941384,
-0.047854065895080566,
-0.054150741547346115,
-0.0046980413608253,
-0.025808874517679214,
-0.016898129135370255,
-0.07005557417869568,
-0.009722012095153332,
0.023294033482670784,
-0.03926755115389824,
-0.0013836047146469355,
0.011474174447357655,
0.059750985354185104,
0.12172658741474152,
0.05461695045232773,
0.04251221567392349,
0.015342433005571365,
0.05467172712087631,
0.038658708333969116,
0.024306071922183037,
0.0287821926176548,
-0.006565663032233715,
0.029156183823943138,
-0.049399394541978836,
0.058192044496536255,
-0.07690463215112686,
-0.07377999275922775,
0.013948398642241955,
-0.00549550075083971,
-0.04858560487627983,
-0.03576023504137993,
-0.12960049510002136,
-0.11616376787424088,
-0.024222802370786667,
-0.02931399829685688,
-0.038430482149124146,
0.0005198463913984597,
0.03428254649043083,
-0.04932985082268715,
0.01726388745009899,
-0.017072103917598724,
0.01344125997275114,
-0.02567553147673607,
-0.012146110646426678,
-0.012166270054876804,
0.0004660906852222979,
-0.0506545752286911,
0.0037582821678370237,
-0.020142583176493645,
-0.04663429409265518,
-0.07949251681566238,
-0.09403058141469955,
0.07616528868675232,
-0.0949847474694252,
-0.02469450980424881,
0.08164280652999878,
0.009728328324854374,
0.0212235189974308,
0.01603425294160843,
-0.01572812907397747,
0.020081982016563416,
-0.045671653002500534,
-0.007611113600432873,
-0.10023116320371628,
-0.08548586815595627,
0.05655863508582115,
-0.04368998482823372,
-0.048499565571546555,
-0.157197043299675,
-0.03599165752530098,
0.020517079159617424,
-0.041927650570869446,
-0.027518823742866516,
0.04140832647681236,
0.05050181224942207,
0.008819986134767532,
0.044072557240724564,
-0.012613067403435707,
-0.06274030357599258,
-0.02490892820060253,
0.06922563910484314,
0.004799060523509979,
-0.04302731901407242,
6.414342799335023e-33,
-0.004527769982814789,
-0.03571578115224838,
-0.018140142783522606,
0.07959791272878647,
-0.008350356481969357,
-0.014786033891141415,
0.034203916788101196,
0.013949642889201641,
0.0442163459956646,
-0.07963989675045013,
0.06370049715042114,
0.09150844812393188,
0.037737078964710236,
0.09912106394767761,
0.11330596357584,
-0.0200774185359478,
-0.04279756173491478,
0.07348982989788055,
0.022773664444684982,
-0.019592702388763428,
-0.0339377261698246,
-0.01357697881758213,
0.034613464027643204,
-0.02291947416961193,
0.03422098606824875,
0.05167267844080925,
-0.050256725400686264,
0.03750835359096527,
0.10040714591741562,
-0.024202387779951096,
-0.00913950614631176,
-0.003154407488182187,
0.0653543770313263,
-0.02783910185098648,
-0.04314098879694939,
-0.0370141863822937,
0.014024433679878712,
-0.10744748264551163,
0.09467475861310959,
0.028727998957037926,
-0.05994274094700813,
-0.024713164195418358,
0.03939777985215187,
-0.04193071275949478,
-0.009035679511725903,
0.0383865088224411,
-0.013903006911277771,
0.051404304802417755,
-0.10419914871454239,
-0.039555665105581284,
-0.024841707199811935,
-0.015745745971798897,
0.05250659957528114,
-0.038986776024103165,
-0.034494467079639435,
-0.05622561648488045,
-0.007971519604325294,
-0.006838120054453611,
-0.002107195323333144,
0.012506571598351002,
0.014180831611156464,
0.06130928546190262,
-0.022171584889292717,
0.07886514067649841,
-0.02138504758477211,
0.01035505160689354,
0.08489427715539932,
0.05756127089262009,
-0.05336454138159752,
0.022826185449957848,
-0.09241801500320435,
0.021423103287816048,
-0.03724002093076706,
0.031554412096738815,
0.01283783558756113,
0.009014190174639225,
-0.038649238646030426,
0.020851803943514824,
-0.05435943603515625,
0.014162974432110786,
-0.038391824811697006,
-0.030955525115132332,
-0.016650650650262833,
-0.043073493987321854,
0.02458237111568451,
-0.01489186566323042,
-0.062425922602415085,
-0.05690969154238701,
-0.0475202240049839,
0.019373249262571335,
-0.046583227813243866,
0.005806062836199999,
0.010680951178073883,
0.05416693910956383,
0.02270549349486828,
-9.148176786730971e-33,
-0.02096855640411377,
0.01542145200073719,
-0.0813993513584137,
-0.02547552064061165,
-0.011266924440860748,
-0.015348527580499649,
0.061677075922489166,
-0.030873900279402733,
-0.05947522446513176,
-0.014949672855436802,
-0.034934889525175095,
0.010943902656435966,
0.0311431922018528,
-0.023810170590877533,
-0.020845603197813034,
0.023569785058498383,
0.022618528455495834,
-0.013571207411587238,
-0.07868152111768723,
-0.017222819849848747,
-0.005870102904736996,
0.04641256481409073,
0.019342508167028427,
-0.07637578994035721,
-0.025226932018995285,
-0.09340889751911163,
-0.004448683932423592,
0.030417021363973618,
0.001440003514289856,
-0.0021885340102016926,
0.008227838203310966,
-0.02564758062362671,
0.03221791982650757,
0.01062287762761116,
0.10228393971920013,
0.012328664772212505,
0.019982287660241127,
-0.03395083174109459,
-0.010414940305054188,
0.01348167099058628,
0.10906160622835159,
0.02918887510895729,
0.015262734144926071,
0.06481873244047165,
0.03328573331236839,
0.025496812537312508,
-0.15956458449363708,
-0.026287714019417763,
-0.05574718490242958,
-0.023975824937224388,
0.04018476605415344,
-0.007681754417717457,
0.08358490467071533,
-0.15888133645057678,
-0.03285565972328186,
0.03811102733016014,
0.06315432488918304,
0.006924928165972233,
0.07281611859798431,
0.007318635005503893,
0.04278620705008507,
-0.1045149564743042,
-0.030780155211687088,
-0.01888400875031948,
0.0063603888265788555,
0.06726466864347458,
0.004105010069906712,
0.010587962344288826,
0.021215474233031273,
-0.011583474464714527,
0.12763597071170807,
-0.04977429658174515,
-0.021626362577080727,
-0.03240656107664108,
0.028018731623888016,
0.0421798899769783,
0.021093841642141342,
-0.05773192271590233,
-0.0348237082362175,
-0.02233647182583809,
0.058033477514982224,
0.06561095267534256,
0.09413023293018341,
0.022885195910930634,
-0.009785661473870277,
0.044072624295949936,
-0.06703485548496246,
0.04964718595147133,
0.03317098319530487,
-0.008043223060667515,
-0.05645303055644035,
0.06893198937177658,
0.0030062829609960318,
0.0656135305762291,
-0.037433505058288574,
-5.095238719832196e-8,
-0.013043192215263844,
0.0031676506623625755,
0.0915672555565834,
0.014695411548018456,
-0.014397358521819115,
0.009248791262507439,
0.00612685875967145,
-0.03733645752072334,
0.04098402336239815,
-0.029065387323498726,
-0.0740887001156807,
-0.024023307487368584,
0.036477625370025635,
0.032217513769865036,
0.17419210076332092,
0.0818835124373436,
-0.010379006154835224,
-0.013269930146634579,
-0.05780857801437378,
-0.022389104589819908,
0.04811506345868111,
-0.01827727071940899,
0.0014587840996682644,
0.06937172263860703,
0.045182351022958755,
-0.017009226605296135,
0.02341337688267231,
0.043091580271720886,
-0.03661883994936943,
0.011430567130446434,
0.03117581456899643,
0.004880047403275967,
0.008842951618134975,
0.08916838467121124,
0.05298452451825142,
0.019633816555142403,
0.005254093091934919,
-0.0069981226697564125,
0.09219029545783997,
-0.03216167539358139,
-0.05846003443002701,
-0.06633462756872177,
-0.08906930685043335,
0.03397234529256821,
0.006110694725066423,
0.009730511344969273,
-0.010166151449084282,
-0.056421007961034775,
-0.03556744009256363,
0.012815984897315502,
-0.05275861546397209,
0.04891328886151314,
0.033449895679950714,
0.00814974308013916,
0.06464802473783493,
0.018888410180807114,
0.06419682502746582,
0.0045619686134159565,
0.0760427787899971,
0.05019181966781616,
0.018416432663798332,
0.08971808850765228,
0.042736247181892395,
0.045520294457674026
] |
1401.1691 | Jordi Gomis-Bresco Dr | J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol,
D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Mart\'inez
and C. M. Sotomayor Torres | A 1D Optomechanical crystal with a complete phononic band gap | 9 pages, 4 figures | Nature Communications, 5, 4452 (2014) | 10.1038/ncomms5452 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent years have witnessed the boom of cavity optomechanics, which exploits
the confinement and coupling of optical and mechanical waves at the nanoscale.
Amongst their physical implementations, optomechanical (OM) crystals built on
semiconductor slabs enable the integration and manipulation of multiple OM
elements in a single chip and provide GHz phonons suitable for coherent phonon
manipulation. Different demonstrations of coupling of infrared photons and GHz
phonons in cavities created by inserting defects on OM crystals have been
performed. However, the considered structures do not show a complete phononic
bandgap, which should allow longer dephasing time, since acoustic leakage is
minimized. We demonstrate the excitation of acoustic modes in a 1D OM crystal
properly designed to display a full phononic bandgap for acoustic modes at 4
GHz. The modes inside the complete bandgap are designed to have mechanical Q
factors above 10e8 and invariant to fabrication imperfections.
| [
{
"created": "Wed, 8 Jan 2014 13:25:39 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jan 2014 16:06:24 GMT",
"version": "v2"
}
] | 2014-07-29 | [
[
"Gomis-Bresco",
"J.",
""
],
[
"Navarro-Urrios",
"D.",
""
],
[
"Oudich",
"M.",
""
],
[
"El-Jallal",
"S.",
""
],
[
"Griol",
"A.",
""
],
[
"Puerto",
"D.",
""
],
[
"Chavez",
"E.",
""
],
[
"Pennec",
"Y.",
""
],
[
"Djafari-Rouhani",
"B.",
""
],
[
"Alzina",
"F.",
""
],
[
"Martínez",
"A.",
""
],
[
"Torres",
"C. M. Sotomayor",
""
]
] | [
0.0036486261524260044,
0.03885965421795845,
0.051310401409864426,
-0.004987834021449089,
-0.0939541831612587,
-0.0837821438908577,
0.017465740442276,
-0.020488936454057693,
-0.01157767791301012,
0.03230179473757744,
0.044634804129600525,
-0.043536920100450516,
-0.07982102036476135,
-0.0541686937212944,
0.0837261751294136,
0.017834438011050224,
0.037329189479351044,
0.01959545910358429,
0.031606048345565796,
-0.016391534358263016,
0.02915310300886631,
-0.013430747203528881,
-0.05390370637178421,
-0.09366379678249359,
0.02117081545293331,
0.02349741756916046,
0.042456772178411484,
0.05992826074361801,
0.02099301666021347,
-0.03701343387365341,
0.05592222884297371,
0.0028872808907181025,
-0.04475163295865059,
0.015281510539352894,
-0.06458530575037003,
-0.01674608327448368,
0.07736803591251373,
-0.08769956976175308,
-0.11217672377824783,
-0.08983051031827927,
0.005631915293633938,
0.05165298655629158,
-0.017368236556649208,
0.055075377225875854,
-0.03209736943244934,
-0.007701890543103218,
0.02971869334578514,
-0.007109334226697683,
-0.05801490321755409,
-0.12769319117069244,
-0.04199345409870148,
-0.0031556396279484034,
0.1221335232257843,
0.045574262738227844,
-0.03683263435959816,
0.07330284267663956,
0.001544565660879016,
0.026197457686066628,
0.017872914671897888,
-0.09185829013586044,
-0.005546237342059612,
-0.019295521080493927,
-0.01068746019154787,
-0.03567234426736832,
0.04200700297951698,
0.03485652059316635,
0.0813429206609726,
-0.06738054752349854,
-0.022193782031536102,
0.03171904385089874,
-0.00958479568362236,
-0.04188106581568718,
0.034154459834098816,
0.045543886721134186,
0.08491609245538712,
0.06155942752957344,
0.024530095979571342,
0.05907167121767998,
-0.0018765876302495599,
0.04379831999540329,
0.03748292103409767,
-0.007251472678035498,
-0.014548858627676964,
0.008021499030292034,
0.02922436222434044,
0.03150651603937149,
0.010657171718776226,
-0.02708141878247261,
-0.035719212144613266,
-0.05150361731648445,
-0.019690290093421936,
-0.03821355476975441,
-0.05042988806962967,
-0.03492158651351929,
0.02046419121325016,
-0.005289912689477205,
-0.016911741346120834,
-0.05131443962454796,
0.0072196610271930695,
0.02133728377521038,
0.04060681164264679,
-0.03020467422902584,
0.03788658231496811,
0.0911891758441925,
-0.13617318868637085,
-0.010141712613403797,
0.02811090275645256,
0.07073923200368881,
-0.039171792566776276,
0.020162571221590042,
0.0007969429134391248,
0.04941253364086151,
0.023970648646354675,
-0.005389993544667959,
-0.03222742676734924,
0.02219429984688759,
-0.12120155245065689,
0.08910957723855972,
0.08295361697673798,
-0.008067917078733444,
-0.033731698989868164,
0.000988926854915917,
-0.09620936214923859,
0.0368347205221653,
-0.018641863018274307,
-0.0055192746222019196,
-0.1100844293832779,
2.7405488152040273e-33,
0.0231227595359087,
0.05101697891950607,
-0.043814342468976974,
-0.06390813738107681,
0.019903602078557014,
-0.11723049730062485,
0.03715873137116432,
0.060613613575696945,
0.02001306414604187,
-0.05529410392045975,
0.056424904614686966,
-0.03757299482822418,
-0.024701936170458794,
-0.05788679048418999,
0.06892643868923187,
-0.0591738186776638,
-0.03234894573688507,
0.03776131942868233,
-0.005775138270109892,
0.06356973201036453,
0.007332593202590942,
-0.0577506460249424,
-0.008797822520136833,
0.08477320522069931,
0.03545420244336128,
0.01156776212155819,
0.011362808756530285,
0.006590343080461025,
-0.0012467731721699238,
-0.012812701053917408,
-0.0285810474306345,
0.02462705224752426,
0.058456938713788986,
-0.032656680792570114,
0.06946806609630585,
0.02033393643796444,
0.047646600753068924,
0.045531027019023895,
0.08513036370277405,
-0.07095608115196228,
-0.03830182924866676,
-0.005440219771116972,
-0.01774270460009575,
0.1682032346725464,
0.014056663028895855,
-0.0861092358827591,
-0.04677739366889,
0.025462983176112175,
-0.00023420182697009295,
-0.0622752383351326,
0.024791467934846878,
-0.03972931578755379,
-0.049346331506967545,
0.06591370701789856,
0.027677886188030243,
-0.07096309959888458,
0.013288205489516258,
-0.0717138797044754,
0.02891041710972786,
-0.050275206565856934,
0.09764987230300903,
-0.07508924603462219,
0.04499164968729019,
0.039484452456235886,
-0.01669921725988388,
0.04205034300684929,
0.022640002891421318,
0.053842946887016296,
-0.016459494829177856,
0.035002101212739944,
-0.02962200902402401,
-0.03900855779647827,
0.007680011447519064,
-0.014301011338829994,
-0.0401412732899189,
0.041168730705976486,
0.05696210637688637,
-0.051531024277210236,
0.08544182032346725,
0.05777623876929283,
0.05468760058283806,
0.00047028798144310713,
-0.09116547554731369,
0.004551675170660019,
-0.02845849096775055,
0.08244651556015015,
0.018448958173394203,
-0.06997363269329071,
0.02844191901385784,
-0.08477826416492462,
-0.02105400711297989,
-0.1294461041688919,
0.01449269987642765,
-0.010188564658164978,
-0.05813765525817871,
-4.215795878524929e-33,
0.044730402529239655,
0.0017814082093536854,
0.08194705098867416,
0.047139156609773636,
0.09747650474309921,
0.06261946260929108,
0.04604308679699898,
0.01825801283121109,
0.003610743675380945,
-0.01393637340515852,
0.08864666521549225,
-0.014776649884879589,
0.02937292866408825,
-0.03234118968248367,
-0.04324909299612045,
0.016070574522018433,
0.011572301387786865,
-0.08324096351861954,
0.08586398512125015,
0.05422933027148247,
0.04044129699468613,
0.0014374847523868084,
0.02555464580655098,
0.013164780102670193,
0.025262128561735153,
-0.016148658469319344,
0.02840789593756199,
-0.02953188307583332,
-0.08796504884958267,
0.03441052883863449,
-0.03733754903078079,
0.030736885964870453,
0.04471064731478691,
-0.009525331668555737,
0.03164694085717201,
0.020777687430381775,
0.024540359154343605,
-0.021265730261802673,
-0.03313363716006279,
-0.08654046058654785,
-0.008702867664396763,
0.014665179885923862,
-0.002909567905589938,
0.013019474223256111,
-0.06412730365991592,
0.06616835296154022,
0.007489796262234449,
-0.025212476029992104,
-0.07142732292413712,
-0.01593949645757675,
0.022912010550498962,
0.10948541760444641,
0.02805810235440731,
-0.10926184803247452,
-0.06790836155414581,
-0.005029125139117241,
-0.007625827100127935,
0.03367481008172035,
0.045417871326208115,
0.03556001931428909,
0.015918802469968796,
0.10113822668790817,
0.07736222445964813,
-0.01350213959813118,
-0.016978831961750984,
0.012764452956616879,
0.023772068321704865,
0.022856395691633224,
0.014099420048296452,
-0.006862558424472809,
-0.110022634267807,
0.008208866231143475,
-0.005898896139115095,
-0.006987665314227343,
0.03908766061067581,
0.07059438526630402,
-0.03710075095295906,
-0.06588304787874222,
-0.014457950368523598,
0.10027060657739639,
0.06483510136604309,
0.06358680129051208,
0.01242052111774683,
-0.024105941876769066,
-0.009325357154011726,
0.04345789924263954,
0.01419011503458023,
0.10250405222177505,
-0.052983760833740234,
0.07330633699893951,
0.04850021004676819,
-0.02025245875120163,
0.060256022959947586,
-0.025958839803934097,
0.07309874147176743,
-4.640612516482179e-8,
0.020903190597891808,
0.02686278335750103,
-0.020417071878910065,
-0.005249458365142345,
-0.04202874004840851,
-0.16287504136562347,
0.036254752427339554,
-0.09509597718715668,
0.018680449575185776,
-0.03945208340883255,
-0.03308132290840149,
-0.052212223410606384,
-0.06738144904375076,
0.013057352043688297,
0.03917550668120384,
-0.055827803909778595,
-0.05251111462712288,
-0.007227457128465176,
-0.03574008122086525,
-0.08823346346616745,
0.03375199809670448,
0.03237830474972725,
0.0997529998421669,
-0.014589729718863964,
0.050357285887002945,
0.0205225832760334,
-0.1104922667145729,
-0.0704677626490593,
0.008590241894125938,
0.011387594044208527,
-0.04141067713499069,
-0.03598852455615997,
0.03134377300739288,
0.0012339305831119418,
-0.05203381925821304,
-0.04965773597359657,
-0.07376701384782791,
-0.03016749955713749,
-0.025138970464468002,
-0.10765476524829865,
0.032382845878601074,
0.016851771622896194,
-0.01608540304005146,
0.04889783263206482,
-0.07072746008634567,
0.039820894598960876,
0.04618169367313385,
-0.02207176387310028,
-0.030751273036003113,
0.04396851733326912,
-0.03459297493100166,
0.029992280527949333,
0.0028560608625411987,
-0.07092180103063583,
-0.07495705038309097,
-0.0031659496016800404,
-0.021791933104395866,
0.028375141322612762,
-0.06309599429368973,
0.012558588758111,
0.013083312660455704,
-0.12075036764144897,
-0.004246423952281475,
0.01872817426919937
] | null | null | null | null | null | null | null | [
0.0036486261524260044,
0.03885965421795845,
0.051310401409864426,
-0.004987834021449089,
-0.0939541831612587,
-0.0837821438908577,
0.017465740442276,
-0.020488936454057693,
-0.01157767791301012,
0.03230179473757744,
0.044634804129600525,
-0.043536920100450516,
-0.07982102036476135,
-0.0541686937212944,
0.0837261751294136,
0.017834438011050224,
0.037329189479351044,
0.01959545910358429,
0.031606048345565796,
-0.016391534358263016,
0.02915310300886631,
-0.013430747203528881,
-0.05390370637178421,
-0.09366379678249359,
0.02117081545293331,
0.02349741756916046,
0.042456772178411484,
0.05992826074361801,
0.02099301666021347,
-0.03701343387365341,
0.05592222884297371,
0.0028872808907181025,
-0.04475163295865059,
0.015281510539352894,
-0.06458530575037003,
-0.01674608327448368,
0.07736803591251373,
-0.08769956976175308,
-0.11217672377824783,
-0.08983051031827927,
0.005631915293633938,
0.05165298655629158,
-0.017368236556649208,
0.055075377225875854,
-0.03209736943244934,
-0.007701890543103218,
0.02971869334578514,
-0.007109334226697683,
-0.05801490321755409,
-0.12769319117069244,
-0.04199345409870148,
-0.0031556396279484034,
0.1221335232257843,
0.045574262738227844,
-0.03683263435959816,
0.07330284267663956,
0.001544565660879016,
0.026197457686066628,
0.017872914671897888,
-0.09185829013586044,
-0.005546237342059612,
-0.019295521080493927,
-0.01068746019154787,
-0.03567234426736832,
0.04200700297951698,
0.03485652059316635,
0.0813429206609726,
-0.06738054752349854,
-0.022193782031536102,
0.03171904385089874,
-0.00958479568362236,
-0.04188106581568718,
0.034154459834098816,
0.045543886721134186,
0.08491609245538712,
0.06155942752957344,
0.024530095979571342,
0.05907167121767998,
-0.0018765876302495599,
0.04379831999540329,
0.03748292103409767,
-0.007251472678035498,
-0.014548858627676964,
0.008021499030292034,
0.02922436222434044,
0.03150651603937149,
0.010657171718776226,
-0.02708141878247261,
-0.035719212144613266,
-0.05150361731648445,
-0.019690290093421936,
-0.03821355476975441,
-0.05042988806962967,
-0.03492158651351929,
0.02046419121325016,
-0.005289912689477205,
-0.016911741346120834,
-0.05131443962454796,
0.0072196610271930695,
0.02133728377521038,
0.04060681164264679,
-0.03020467422902584,
0.03788658231496811,
0.0911891758441925,
-0.13617318868637085,
-0.010141712613403797,
0.02811090275645256,
0.07073923200368881,
-0.039171792566776276,
0.020162571221590042,
0.0007969429134391248,
0.04941253364086151,
0.023970648646354675,
-0.005389993544667959,
-0.03222742676734924,
0.02219429984688759,
-0.12120155245065689,
0.08910957723855972,
0.08295361697673798,
-0.008067917078733444,
-0.033731698989868164,
0.000988926854915917,
-0.09620936214923859,
0.0368347205221653,
-0.018641863018274307,
-0.0055192746222019196,
-0.1100844293832779,
2.7405488152040273e-33,
0.0231227595359087,
0.05101697891950607,
-0.043814342468976974,
-0.06390813738107681,
0.019903602078557014,
-0.11723049730062485,
0.03715873137116432,
0.060613613575696945,
0.02001306414604187,
-0.05529410392045975,
0.056424904614686966,
-0.03757299482822418,
-0.024701936170458794,
-0.05788679048418999,
0.06892643868923187,
-0.0591738186776638,
-0.03234894573688507,
0.03776131942868233,
-0.005775138270109892,
0.06356973201036453,
0.007332593202590942,
-0.0577506460249424,
-0.008797822520136833,
0.08477320522069931,
0.03545420244336128,
0.01156776212155819,
0.011362808756530285,
0.006590343080461025,
-0.0012467731721699238,
-0.012812701053917408,
-0.0285810474306345,
0.02462705224752426,
0.058456938713788986,
-0.032656680792570114,
0.06946806609630585,
0.02033393643796444,
0.047646600753068924,
0.045531027019023895,
0.08513036370277405,
-0.07095608115196228,
-0.03830182924866676,
-0.005440219771116972,
-0.01774270460009575,
0.1682032346725464,
0.014056663028895855,
-0.0861092358827591,
-0.04677739366889,
0.025462983176112175,
-0.00023420182697009295,
-0.0622752383351326,
0.024791467934846878,
-0.03972931578755379,
-0.049346331506967545,
0.06591370701789856,
0.027677886188030243,
-0.07096309959888458,
0.013288205489516258,
-0.0717138797044754,
0.02891041710972786,
-0.050275206565856934,
0.09764987230300903,
-0.07508924603462219,
0.04499164968729019,
0.039484452456235886,
-0.01669921725988388,
0.04205034300684929,
0.022640002891421318,
0.053842946887016296,
-0.016459494829177856,
0.035002101212739944,
-0.02962200902402401,
-0.03900855779647827,
0.007680011447519064,
-0.014301011338829994,
-0.0401412732899189,
0.041168730705976486,
0.05696210637688637,
-0.051531024277210236,
0.08544182032346725,
0.05777623876929283,
0.05468760058283806,
0.00047028798144310713,
-0.09116547554731369,
0.004551675170660019,
-0.02845849096775055,
0.08244651556015015,
0.018448958173394203,
-0.06997363269329071,
0.02844191901385784,
-0.08477826416492462,
-0.02105400711297989,
-0.1294461041688919,
0.01449269987642765,
-0.010188564658164978,
-0.05813765525817871,
-4.215795878524929e-33,
0.044730402529239655,
0.0017814082093536854,
0.08194705098867416,
0.047139156609773636,
0.09747650474309921,
0.06261946260929108,
0.04604308679699898,
0.01825801283121109,
0.003610743675380945,
-0.01393637340515852,
0.08864666521549225,
-0.014776649884879589,
0.02937292866408825,
-0.03234118968248367,
-0.04324909299612045,
0.016070574522018433,
0.011572301387786865,
-0.08324096351861954,
0.08586398512125015,
0.05422933027148247,
0.04044129699468613,
0.0014374847523868084,
0.02555464580655098,
0.013164780102670193,
0.025262128561735153,
-0.016148658469319344,
0.02840789593756199,
-0.02953188307583332,
-0.08796504884958267,
0.03441052883863449,
-0.03733754903078079,
0.030736885964870453,
0.04471064731478691,
-0.009525331668555737,
0.03164694085717201,
0.020777687430381775,
0.024540359154343605,
-0.021265730261802673,
-0.03313363716006279,
-0.08654046058654785,
-0.008702867664396763,
0.014665179885923862,
-0.002909567905589938,
0.013019474223256111,
-0.06412730365991592,
0.06616835296154022,
0.007489796262234449,
-0.025212476029992104,
-0.07142732292413712,
-0.01593949645757675,
0.022912010550498962,
0.10948541760444641,
0.02805810235440731,
-0.10926184803247452,
-0.06790836155414581,
-0.005029125139117241,
-0.007625827100127935,
0.03367481008172035,
0.045417871326208115,
0.03556001931428909,
0.015918802469968796,
0.10113822668790817,
0.07736222445964813,
-0.01350213959813118,
-0.016978831961750984,
0.012764452956616879,
0.023772068321704865,
0.022856395691633224,
0.014099420048296452,
-0.006862558424472809,
-0.110022634267807,
0.008208866231143475,
-0.005898896139115095,
-0.006987665314227343,
0.03908766061067581,
0.07059438526630402,
-0.03710075095295906,
-0.06588304787874222,
-0.014457950368523598,
0.10027060657739639,
0.06483510136604309,
0.06358680129051208,
0.01242052111774683,
-0.024105941876769066,
-0.009325357154011726,
0.04345789924263954,
0.01419011503458023,
0.10250405222177505,
-0.052983760833740234,
0.07330633699893951,
0.04850021004676819,
-0.02025245875120163,
0.060256022959947586,
-0.025958839803934097,
0.07309874147176743,
-4.640612516482179e-8,
0.020903190597891808,
0.02686278335750103,
-0.020417071878910065,
-0.005249458365142345,
-0.04202874004840851,
-0.16287504136562347,
0.036254752427339554,
-0.09509597718715668,
0.018680449575185776,
-0.03945208340883255,
-0.03308132290840149,
-0.052212223410606384,
-0.06738144904375076,
0.013057352043688297,
0.03917550668120384,
-0.055827803909778595,
-0.05251111462712288,
-0.007227457128465176,
-0.03574008122086525,
-0.08823346346616745,
0.03375199809670448,
0.03237830474972725,
0.0997529998421669,
-0.014589729718863964,
0.050357285887002945,
0.0205225832760334,
-0.1104922667145729,
-0.0704677626490593,
0.008590241894125938,
0.011387594044208527,
-0.04141067713499069,
-0.03598852455615997,
0.03134377300739288,
0.0012339305831119418,
-0.05203381925821304,
-0.04965773597359657,
-0.07376701384782791,
-0.03016749955713749,
-0.025138970464468002,
-0.10765476524829865,
0.032382845878601074,
0.016851771622896194,
-0.01608540304005146,
0.04889783263206482,
-0.07072746008634567,
0.039820894598960876,
0.04618169367313385,
-0.02207176387310028,
-0.030751273036003113,
0.04396851733326912,
-0.03459297493100166,
0.029992280527949333,
0.0028560608625411987,
-0.07092180103063583,
-0.07495705038309097,
-0.0031659496016800404,
-0.021791933104395866,
0.028375141322612762,
-0.06309599429368973,
0.012558588758111,
0.013083312660455704,
-0.12075036764144897,
-0.004246423952281475,
0.01872817426919937
] |
1401.1693 | Harald Ruess | Martin Hofmann, Harald Ruess | Certification for mu-calculus with winning strategies | Presented at the VeriSure workshop associated with CAV'13 in St.
Petersburg in July 2013 | null | null | null | cs.LO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define memory-efficient certificates for $\mu$-calculus model checking
problems based on the well-known correspondence of the $\mu$-calculus model
checking with winning certain parity games. Winning strategies can
independently checked, in low polynomial time, by observing that there is no
reachable strongly connected component in the graph of the parity game whose
largest priority is odd. Winning strategies are computed by fixpoint iteration
following the naive semantics of $\mu$-calculus. We instrument the usual
fixpoint iteration of $\mu$-calculus model checking so that it produces
evidence in the form of a winning strategy; these winning strategies can be
computed in polynomial time in $|S|$ and in space $O(|S|^2 |{\phi}|^2)$, where
$|S|$ is the size of the state space and $|\phi|$ the length of the formula
$\phi$\@. The main technical contribution here is the notion and algebra of
partial winning strategies. On the technical level our work can be seen as a
new, simpler, and immediate constructive proof of the correspondence between
$\mu$-calculus and parity games.
| [
{
"created": "Wed, 8 Jan 2014 13:30:54 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Hofmann",
"Martin",
""
],
[
"Ruess",
"Harald",
""
]
] | [
-0.05209231749176979,
-0.04039720445871353,
0.026931755244731903,
-0.08437499403953552,
0.00739926565438509,
0.0075796847231686115,
0.048385825008153915,
0.015395257622003555,
0.06481940299272537,
0.04417983442544937,
-0.05156731605529785,
0.03907477483153343,
0.07522879540920258,
0.027384527027606964,
-0.03414800763130188,
-0.03797810524702072,
0.01581691950559616,
0.053342774510383606,
-0.02953421138226986,
0.006558381952345371,
0.01906127668917179,
-0.09477535635232925,
-0.03296641632914543,
0.0012021923903375864,
-0.022257927805185318,
-0.05256911739706993,
-0.025914708152413368,
-0.04441050440073013,
0.0021701271180063486,
-0.005974523723125458,
0.07837530970573425,
0.028881371021270752,
0.007881571538746357,
0.00987330637872219,
-0.006632610689848661,
0.09097249060869217,
-0.049129292368888855,
-0.05368826165795326,
0.02293897233903408,
-0.011111126281321049,
-0.016951264813542366,
-0.05522184446454048,
-0.010134276002645493,
0.05452291667461395,
-0.013057085685431957,
0.04423495754599571,
0.03747653588652611,
0.005136709660291672,
-0.06679023802280426,
-0.07249024510383606,
-0.03465120494365692,
0.03898973390460014,
-0.04648880288004875,
-0.055865854024887085,
0.014910380356013775,
-0.015523510985076427,
0.019208721816539764,
0.029225438833236694,
-0.05988356098532677,
-0.01804787665605545,
-0.0590798556804657,
-0.06273339688777924,
-0.08172038197517395,
-0.024279506877064705,
-0.0361211858689785,
-0.002678345888853073,
0.03630576655268669,
0.03591249883174896,
-0.03292755037546158,
0.11189831793308258,
0.05453287810087204,
0.01919974759221077,
-0.00954452808946371,
-0.005800748709589243,
0.024315480142831802,
0.02507062256336212,
0.07338433712720871,
-0.025603540241718292,
-0.02254720777273178,
-0.009865403175354004,
-0.03825445845723152,
-0.047601956874132156,
-0.011266360990703106,
-0.018287625163793564,
0.04186397045850754,
-0.012994733639061451,
0.012270623818039894,
-0.055036384612321854,
0.162452831864357,
-0.038861289620399475,
-0.01112398412078619,
-0.014149346388876438,
-0.00408598268404603,
-0.0070998151786625385,
0.09382503479719162,
0.04956098273396492,
-0.019411731511354446,
-0.07074364274740219,
0.04539668187499046,
0.06677256524562836,
-0.05296477675437927,
0.0812954232096672,
0.023363258689641953,
-0.12669086456298828,
0.1535237580537796,
0.06218515709042549,
-0.05156715214252472,
0.02805616334080696,
0.009619268588721752,
-0.05313030630350113,
0.05177995562553406,
0.01201692782342434,
0.1362118273973465,
0.1016836166381836,
-0.02489783987402916,
0.031301796436309814,
-0.0007015256560407579,
-0.023953864350914955,
0.02239714190363884,
-0.021482955664396286,
-0.0038686718326061964,
0.03907182067632675,
0.02435527928173542,
0.0049065109342336655,
-0.022004783153533936,
-0.013157680630683899,
0.011693962849676609,
1.689435909365146e-33,
-0.004776590503752232,
0.05868150293827057,
-0.0030192697886377573,
0.009268687106668949,
-0.054090846329927444,
0.004769067745655775,
0.0891784280538559,
-0.03678717091679573,
-0.08781853318214417,
0.03675258904695511,
-0.0014119426487013698,
0.13260601460933685,
-0.05161343514919281,
0.00546665582805872,
0.11557011306285858,
0.010391551069915295,
-0.01052180491387844,
-0.046017322689294815,
0.018753360956907272,
-0.0659555122256279,
0.09355536103248596,
-0.05452534183859825,
-0.006228228099644184,
-0.06946603208780289,
0.045333363115787506,
0.0010529736755415797,
0.0175827257335186,
0.009787477552890778,
0.00207726564258337,
-0.006149844266474247,
-0.08795426785945892,
0.000002361313136134413,
-0.02119125798344612,
0.06907378137111664,
0.033730559051036835,
-0.007848828099668026,
-0.008714173920452595,
-0.05040817707777023,
-0.019173549488186836,
-0.03419847413897514,
-0.039270397275686264,
-0.012651639059185982,
-0.006765265483409166,
0.03571377694606781,
-0.061599645763635635,
-0.08885227888822556,
-0.05029979720711708,
-0.022880936041474342,
-0.006040751934051514,
-0.027318893000483513,
0.040210653096437454,
-0.0030618314631283283,
-0.057109542191028595,
-0.11213955283164978,
-0.03628794476389885,
-0.0546746663749218,
-0.011352669447660446,
0.005915805231779814,
-0.056689485907554626,
0.08336500823497772,
0.020375804975628853,
-0.06815475970506668,
0.0012876598630100489,
-0.022319596260786057,
-0.11671504378318787,
0.047370508313179016,
-0.14352048933506012,
0.03693956881761551,
0.10609793663024902,
-0.056760404258966446,
-0.039059869945049286,
-0.03819553554058075,
-0.0164189413189888,
-0.09109048545360565,
0.14612798392772675,
-0.06776941567659378,
0.06145806610584259,
-0.08172398060560226,
0.04225487262010574,
-0.038131896406412125,
0.009413210675120354,
-0.018373126164078712,
-0.006881556939333677,
0.02852662466466427,
0.006434467155486345,
-0.0599316842854023,
0.0023880526423454285,
-0.048261210322380066,
-0.040315255522727966,
-0.037906792014837265,
-0.13265399634838104,
-0.03602762892842293,
0.03789587691426277,
0.03351091220974922,
0.02779555879533291,
-2.587828772816188e-33,
-0.011761439964175224,
-0.14117431640625,
-0.03247273340821266,
0.15654966235160828,
-0.011574173346161842,
-0.06485156714916229,
-0.032095085829496384,
0.0005047639715485275,
-0.029063625261187553,
-0.022425368428230286,
-0.07547203451395035,
0.047704778611660004,
0.03745792806148529,
-0.013587535358965397,
0.014838438481092453,
-0.08294522017240524,
0.08177462220191956,
-0.012317763641476631,
-0.0364973247051239,
0.06497515738010406,
0.08426440507173538,
0.10166599601507187,
-0.038372933864593506,
-0.007169773336499929,
0.031456995755434036,
0.0525565929710865,
-0.0795801505446434,
-0.028483035042881966,
0.028597334399819374,
0.11239013075828552,
-0.0004981443053111434,
-0.043690454214811325,
-0.022858846932649612,
-0.036515213549137115,
-0.04400864616036415,
-0.04032067954540253,
0.1164313405752182,
0.07944368571043015,
-0.008820053189992905,
0.06468141078948975,
0.0036214629653841257,
-0.09800426661968231,
0.013726080767810345,
0.06209597364068031,
0.03899788483977318,
0.04461986571550369,
-0.007433029357343912,
0.01580408774316311,
-0.04313552752137184,
0.0006322140106931329,
0.03986051678657532,
0.008107931353151798,
-0.00047208613250404596,
0.0391300730407238,
-0.04274797812104225,
-0.0057312557473778725,
-0.04746656492352486,
-0.00044174023787491024,
0.0008811006555333734,
0.002440802985802293,
-0.004041020292788744,
0.004592705052345991,
-0.052247460931539536,
0.08267397433519363,
0.049641575664281845,
0.09727563709020615,
-0.08286407589912415,
-0.03651369735598564,
0.04020274803042412,
0.016452515497803688,
-0.04985850676894188,
0.0482197143137455,
-0.10015935450792313,
-0.0248972587287426,
0.022671271115541458,
0.09400507062673569,
-0.005978923756629229,
0.06192675977945328,
0.059763725847005844,
0.0609530434012413,
-0.003087780438363552,
0.03658381476998329,
0.04930645972490311,
0.00606587203219533,
-0.016358954831957817,
-0.036741264164447784,
0.021363483741879463,
0.012122346088290215,
-0.048336729407310486,
-0.04691111296415329,
0.012669924646615982,
0.02596401609480381,
0.06615615636110306,
0.015959789976477623,
-0.004786967765539885,
-5.372757883037593e-8,
-0.0748312771320343,
-0.005340919364243746,
-0.023803817108273506,
0.07242994010448456,
0.0295504592359066,
-0.0005677774315699935,
-0.045407235622406006,
0.005736345425248146,
-0.02387961372733116,
0.012672139331698418,
0.05070627108216286,
0.08399219065904617,
-0.06585868448019028,
-0.02340989001095295,
0.019550278782844543,
0.012858577072620392,
0.036658406257629395,
-0.034454796463251114,
-0.061297960579395294,
0.05621453374624252,
0.006435599643737078,
0.01173535455018282,
-0.018634788691997528,
-0.0021268397103995085,
-0.05022040009498596,
0.03260880336165428,
0.011770449578762054,
0.02959464117884636,
0.028135452419519424,
0.07678603380918503,
0.060855042189359665,
-0.022551923990249634,
0.05057516694068909,
0.051450446248054504,
0.03531896322965622,
0.10049707442522049,
-0.013956158421933651,
0.036871250718832016,
0.050209686160087585,
0.01220468059182167,
-0.0005617404822260141,
0.05803617462515831,
-0.0344783179461956,
0.024251263588666916,
0.04349677264690399,
0.01132926344871521,
-0.029785728082060814,
-0.04460453987121582,
-0.005931680090725422,
0.020155930891633034,
-0.007267520297318697,
0.052799154072999954,
-0.10682322084903717,
-0.022730203345417976,
-0.046965111047029495,
0.021639462560415268,
0.026951638981699944,
-0.11430228501558304,
-0.05117204040288925,
0.02459278330206871,
-0.015774700790643692,
0.06445354223251343,
0.03459226340055466,
-0.010469263419508934
] | null | null | null | null | null | null | null | [
-0.05209231749176979,
-0.04039720445871353,
0.026931755244731903,
-0.08437499403953552,
0.00739926565438509,
0.0075796847231686115,
0.048385825008153915,
0.015395257622003555,
0.06481940299272537,
0.04417983442544937,
-0.05156731605529785,
0.03907477483153343,
0.07522879540920258,
0.027384527027606964,
-0.03414800763130188,
-0.03797810524702072,
0.01581691950559616,
0.053342774510383606,
-0.02953421138226986,
0.006558381952345371,
0.01906127668917179,
-0.09477535635232925,
-0.03296641632914543,
0.0012021923903375864,
-0.022257927805185318,
-0.05256911739706993,
-0.025914708152413368,
-0.04441050440073013,
0.0021701271180063486,
-0.005974523723125458,
0.07837530970573425,
0.028881371021270752,
0.007881571538746357,
0.00987330637872219,
-0.006632610689848661,
0.09097249060869217,
-0.049129292368888855,
-0.05368826165795326,
0.02293897233903408,
-0.011111126281321049,
-0.016951264813542366,
-0.05522184446454048,
-0.010134276002645493,
0.05452291667461395,
-0.013057085685431957,
0.04423495754599571,
0.03747653588652611,
0.005136709660291672,
-0.06679023802280426,
-0.07249024510383606,
-0.03465120494365692,
0.03898973390460014,
-0.04648880288004875,
-0.055865854024887085,
0.014910380356013775,
-0.015523510985076427,
0.019208721816539764,
0.029225438833236694,
-0.05988356098532677,
-0.01804787665605545,
-0.0590798556804657,
-0.06273339688777924,
-0.08172038197517395,
-0.024279506877064705,
-0.0361211858689785,
-0.002678345888853073,
0.03630576655268669,
0.03591249883174896,
-0.03292755037546158,
0.11189831793308258,
0.05453287810087204,
0.01919974759221077,
-0.00954452808946371,
-0.005800748709589243,
0.024315480142831802,
0.02507062256336212,
0.07338433712720871,
-0.025603540241718292,
-0.02254720777273178,
-0.009865403175354004,
-0.03825445845723152,
-0.047601956874132156,
-0.011266360990703106,
-0.018287625163793564,
0.04186397045850754,
-0.012994733639061451,
0.012270623818039894,
-0.055036384612321854,
0.162452831864357,
-0.038861289620399475,
-0.01112398412078619,
-0.014149346388876438,
-0.00408598268404603,
-0.0070998151786625385,
0.09382503479719162,
0.04956098273396492,
-0.019411731511354446,
-0.07074364274740219,
0.04539668187499046,
0.06677256524562836,
-0.05296477675437927,
0.0812954232096672,
0.023363258689641953,
-0.12669086456298828,
0.1535237580537796,
0.06218515709042549,
-0.05156715214252472,
0.02805616334080696,
0.009619268588721752,
-0.05313030630350113,
0.05177995562553406,
0.01201692782342434,
0.1362118273973465,
0.1016836166381836,
-0.02489783987402916,
0.031301796436309814,
-0.0007015256560407579,
-0.023953864350914955,
0.02239714190363884,
-0.021482955664396286,
-0.0038686718326061964,
0.03907182067632675,
0.02435527928173542,
0.0049065109342336655,
-0.022004783153533936,
-0.013157680630683899,
0.011693962849676609,
1.689435909365146e-33,
-0.004776590503752232,
0.05868150293827057,
-0.0030192697886377573,
0.009268687106668949,
-0.054090846329927444,
0.004769067745655775,
0.0891784280538559,
-0.03678717091679573,
-0.08781853318214417,
0.03675258904695511,
-0.0014119426487013698,
0.13260601460933685,
-0.05161343514919281,
0.00546665582805872,
0.11557011306285858,
0.010391551069915295,
-0.01052180491387844,
-0.046017322689294815,
0.018753360956907272,
-0.0659555122256279,
0.09355536103248596,
-0.05452534183859825,
-0.006228228099644184,
-0.06946603208780289,
0.045333363115787506,
0.0010529736755415797,
0.0175827257335186,
0.009787477552890778,
0.00207726564258337,
-0.006149844266474247,
-0.08795426785945892,
0.000002361313136134413,
-0.02119125798344612,
0.06907378137111664,
0.033730559051036835,
-0.007848828099668026,
-0.008714173920452595,
-0.05040817707777023,
-0.019173549488186836,
-0.03419847413897514,
-0.039270397275686264,
-0.012651639059185982,
-0.006765265483409166,
0.03571377694606781,
-0.061599645763635635,
-0.08885227888822556,
-0.05029979720711708,
-0.022880936041474342,
-0.006040751934051514,
-0.027318893000483513,
0.040210653096437454,
-0.0030618314631283283,
-0.057109542191028595,
-0.11213955283164978,
-0.03628794476389885,
-0.0546746663749218,
-0.011352669447660446,
0.005915805231779814,
-0.056689485907554626,
0.08336500823497772,
0.020375804975628853,
-0.06815475970506668,
0.0012876598630100489,
-0.022319596260786057,
-0.11671504378318787,
0.047370508313179016,
-0.14352048933506012,
0.03693956881761551,
0.10609793663024902,
-0.056760404258966446,
-0.039059869945049286,
-0.03819553554058075,
-0.0164189413189888,
-0.09109048545360565,
0.14612798392772675,
-0.06776941567659378,
0.06145806610584259,
-0.08172398060560226,
0.04225487262010574,
-0.038131896406412125,
0.009413210675120354,
-0.018373126164078712,
-0.006881556939333677,
0.02852662466466427,
0.006434467155486345,
-0.0599316842854023,
0.0023880526423454285,
-0.048261210322380066,
-0.040315255522727966,
-0.037906792014837265,
-0.13265399634838104,
-0.03602762892842293,
0.03789587691426277,
0.03351091220974922,
0.02779555879533291,
-2.587828772816188e-33,
-0.011761439964175224,
-0.14117431640625,
-0.03247273340821266,
0.15654966235160828,
-0.011574173346161842,
-0.06485156714916229,
-0.032095085829496384,
0.0005047639715485275,
-0.029063625261187553,
-0.022425368428230286,
-0.07547203451395035,
0.047704778611660004,
0.03745792806148529,
-0.013587535358965397,
0.014838438481092453,
-0.08294522017240524,
0.08177462220191956,
-0.012317763641476631,
-0.0364973247051239,
0.06497515738010406,
0.08426440507173538,
0.10166599601507187,
-0.038372933864593506,
-0.007169773336499929,
0.031456995755434036,
0.0525565929710865,
-0.0795801505446434,
-0.028483035042881966,
0.028597334399819374,
0.11239013075828552,
-0.0004981443053111434,
-0.043690454214811325,
-0.022858846932649612,
-0.036515213549137115,
-0.04400864616036415,
-0.04032067954540253,
0.1164313405752182,
0.07944368571043015,
-0.008820053189992905,
0.06468141078948975,
0.0036214629653841257,
-0.09800426661968231,
0.013726080767810345,
0.06209597364068031,
0.03899788483977318,
0.04461986571550369,
-0.007433029357343912,
0.01580408774316311,
-0.04313552752137184,
0.0006322140106931329,
0.03986051678657532,
0.008107931353151798,
-0.00047208613250404596,
0.0391300730407238,
-0.04274797812104225,
-0.0057312557473778725,
-0.04746656492352486,
-0.00044174023787491024,
0.0008811006555333734,
0.002440802985802293,
-0.004041020292788744,
0.004592705052345991,
-0.052247460931539536,
0.08267397433519363,
0.049641575664281845,
0.09727563709020615,
-0.08286407589912415,
-0.03651369735598564,
0.04020274803042412,
0.016452515497803688,
-0.04985850676894188,
0.0482197143137455,
-0.10015935450792313,
-0.0248972587287426,
0.022671271115541458,
0.09400507062673569,
-0.005978923756629229,
0.06192675977945328,
0.059763725847005844,
0.0609530434012413,
-0.003087780438363552,
0.03658381476998329,
0.04930645972490311,
0.00606587203219533,
-0.016358954831957817,
-0.036741264164447784,
0.021363483741879463,
0.012122346088290215,
-0.048336729407310486,
-0.04691111296415329,
0.012669924646615982,
0.02596401609480381,
0.06615615636110306,
0.015959789976477623,
-0.004786967765539885,
-5.372757883037593e-8,
-0.0748312771320343,
-0.005340919364243746,
-0.023803817108273506,
0.07242994010448456,
0.0295504592359066,
-0.0005677774315699935,
-0.045407235622406006,
0.005736345425248146,
-0.02387961372733116,
0.012672139331698418,
0.05070627108216286,
0.08399219065904617,
-0.06585868448019028,
-0.02340989001095295,
0.019550278782844543,
0.012858577072620392,
0.036658406257629395,
-0.034454796463251114,
-0.061297960579395294,
0.05621453374624252,
0.006435599643737078,
0.01173535455018282,
-0.018634788691997528,
-0.0021268397103995085,
-0.05022040009498596,
0.03260880336165428,
0.011770449578762054,
0.02959464117884636,
0.028135452419519424,
0.07678603380918503,
0.060855042189359665,
-0.022551923990249634,
0.05057516694068909,
0.051450446248054504,
0.03531896322965622,
0.10049707442522049,
-0.013956158421933651,
0.036871250718832016,
0.050209686160087585,
0.01220468059182167,
-0.0005617404822260141,
0.05803617462515831,
-0.0344783179461956,
0.024251263588666916,
0.04349677264690399,
0.01132926344871521,
-0.029785728082060814,
-0.04460453987121582,
-0.005931680090725422,
0.020155930891633034,
-0.007267520297318697,
0.052799154072999954,
-0.10682322084903717,
-0.022730203345417976,
-0.046965111047029495,
0.021639462560415268,
0.026951638981699944,
-0.11430228501558304,
-0.05117204040288925,
0.02459278330206871,
-0.015774700790643692,
0.06445354223251343,
0.03459226340055466,
-0.010469263419508934
] |
1401.1696 | Thomas T\"ows | Sebastian Getfert, Thomas T\"ows and Peter Reimann | Reluctance of a neutral nanoparticle to enter a charged pore | null | Physical Review E 88, 052710 (2013) | 10.1103/PhysRevE.88.052710 | null | cond-mat.soft physics.bio-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the translocation of a neutral (uncharged) nanoparticle through a
pore in a thin membrane with constant surface charge density. If the
concomitant Debye screening layer is sufficiently thin, the resulting forces
experienced by the particle on its way through the pore are negligible. But
when the Debye length becomes comparable to the pore diameter, the particle
encounters a quite significant potential barrier while approaching and entering
the pore, and symmetrically upon exiting the pore. The main reason is an
increasing pressure which acts on the particle when it intrudes into the
counter ion cloud of the Debye screening layer. In case the polarizability of
the particle is different (usually smaller) than that of the ambient fluid, a
second, much smaller contribution to the potential barrier is due to
self-energy effects. Our numerical treatment of the problem is complemented by
analytical approximations for sufficiently long cylindrical particles and
pores, which agree very well with the numerics.
| [
{
"created": "Wed, 8 Jan 2014 13:35:33 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Getfert",
"Sebastian",
""
],
[
"Töws",
"Thomas",
""
],
[
"Reimann",
"Peter",
""
]
] | [
-0.01701827347278595,
0.0009321896359324455,
0.026500729843974113,
0.035991355776786804,
0.08689399063587189,
-0.024232542142271996,
0.13125824928283691,
0.05239468440413475,
-0.03642177954316139,
0.04290986806154251,
-0.03282896801829338,
-0.040599580854177475,
-0.044607359915971756,
0.08664786070585251,
0.033139750361442566,
-0.04460806027054787,
0.03701514005661011,
-0.035583432763814926,
0.0038857306353747845,
0.06793109327554703,
0.005942082963883877,
0.0005979375564493239,
-0.000830029312055558,
-0.03336673229932785,
0.013845903798937798,
-0.022583719342947006,
0.08858408033847809,
-0.01150122657418251,
-0.027184557169675827,
-0.04040978103876114,
0.02585155889391899,
-0.05534778907895088,
-0.10653901845216751,
0.039785683155059814,
0.014152470976114273,
0.031083691865205765,
-0.054875459522008896,
0.10765599459409714,
-0.04878171160817146,
-0.022900734096765518,
0.005380148068070412,
0.049737729132175446,
-0.034838590770959854,
-0.07573544234037399,
0.06904464215040207,
-0.06915536522865295,
0.07759810984134674,
0.007308004889637232,
0.08354711532592773,
-0.035406287759542465,
0.037195995450019836,
0.007358146365731955,
-0.057759251445531845,
0.055270858108997345,
-0.07644873857498169,
-0.00830986350774765,
0.0459042452275753,
-0.051882706582546234,
-0.05214079096913338,
0.008434975519776344,
-0.04392508044838905,
-0.03179187700152397,
0.06742911040782928,
-0.03521227091550827,
0.060734815895557404,
-0.04403117671608925,
0.03240692615509033,
0.05455043539404869,
0.0518319196999073,
0.08420691639184952,
0.05452585592865944,
0.04383496567606926,
-0.07339031994342804,
-0.07005999237298965,
0.01945384219288826,
-0.015339646488428116,
-0.03402409330010414,
0.10781561583280563,
-0.010114346630871296,
-0.049707431346178055,
0.021855875849723816,
0.01921483501791954,
-0.030711254104971886,
0.012599760666489601,
-0.07602628320455551,
0.06215338408946991,
0.004126237705349922,
-0.07093673944473267,
0.032093293964862823,
0.0006190599524416029,
-0.05007369443774223,
0.03097551502287388,
-0.07119803130626678,
0.03084844909608364,
0.00871650967746973,
-0.07338088005781174,
0.034804828464984894,
-0.00010641462722560391,
-0.00847409013658762,
0.02456527389585972,
0.021150562912225723,
-0.014822928234934807,
-0.057811569422483444,
0.020562265068292618,
0.07919614017009735,
-0.04657665267586708,
0.13849946856498718,
0.012909597717225552,
0.04368216544389725,
0.0840393528342247,
0.0797087550163269,
-0.03139800205826759,
-0.0034911874681711197,
0.032758038491010666,
-0.005619725678116083,
0.0012007710756734014,
0.05328458547592163,
0.06477101147174835,
0.037323568016290665,
0.01287797186523676,
0.004481354262679815,
0.003349113976582885,
-0.10207969695329666,
-0.03338249400258064,
-0.0046140109188854694,
0.10672187805175781,
-0.004708294291049242,
1.4339938237627628e-33,
0.029002970084547997,
0.049609821289777756,
0.04581473022699356,
0.023984182626008987,
-0.05530364066362381,
-0.11432693898677826,
0.049533504992723465,
0.06848567724227905,
-0.09569627046585083,
0.013090315274894238,
-0.08480004966259003,
-0.017309043556451797,
-0.007131543476134539,
0.0012860134011134505,
0.027624985203146935,
-0.0420745424926281,
-0.010542728938162327,
-0.007484736852347851,
0.008412188850343227,
0.052958033978939056,
0.02122366428375244,
-0.06940519064664841,
-0.010902980342507362,
-0.038837283849716187,
0.037455614656209946,
-0.06932251900434494,
-0.032002419233322144,
-0.07935203611850739,
0.014861439354717731,
0.02250129170715809,
-0.031001413241028786,
0.015501055866479874,
0.05996651202440262,
0.08810792118310928,
0.060530100017786026,
0.004316939041018486,
-0.05730217322707176,
0.015607916750013828,
0.06025709584355354,
-0.0539109893143177,
-0.059117406606674194,
-0.042138535529375076,
0.043986741453409195,
0.0028312248177826405,
-0.045764535665512085,
-0.022529898211359978,
0.0031395775731652975,
-0.059065837413072586,
-0.04778309911489487,
-0.020031124353408813,
-0.04493261128664017,
0.038217172026634216,
0.002016810467466712,
-0.004292215220630169,
0.012656626291573048,
-0.08552835881710052,
0.033128999173641205,
0.018067652359604836,
0.04395506531000137,
0.014680327847599983,
0.08112339675426483,
0.08013354986906052,
-0.0032424686942249537,
0.00006086900248192251,
0.01528962329030037,
0.06099274009466171,
-0.10281981527805328,
0.021020593121647835,
0.021322261542081833,
-0.044971685856580734,
-0.0614573173224926,
0.03692854940891266,
0.08219924569129944,
-0.10040141642093658,
0.00043162060319446027,
0.05283002555370331,
0.0682804211974144,
-0.011844259686768055,
0.10082659125328064,
-0.07227533310651779,
0.0031215071212500334,
-0.040463581681251526,
-0.0130037572234869,
-0.0352938175201416,
-0.08867495507001877,
-0.024637803435325623,
0.006513800472021103,
-0.0010801524622365832,
-0.023808330297470093,
-0.016051610931754112,
0.003484124317765236,
0.03254110366106033,
0.019777711480855942,
-0.11864712089300156,
-0.05690015107393265,
-3.5578959349406804e-33,
-0.04024116322398186,
-0.007490523625165224,
-0.06072508916258812,
-0.019089730456471443,
0.030963966622948647,
0.048325665295124054,
-0.055193942040205,
0.0978119745850563,
0.03417365252971649,
-0.021176643669605255,
-0.0680769756436348,
0.07242476940155029,
0.06396889686584473,
-0.01575065217912197,
-0.04866912215948105,
0.029500683769583702,
-0.08469463884830475,
-0.04154599457979202,
0.051768507808446884,
-0.03854439780116081,
-0.05199866741895676,
0.06822521239519119,
0.0560968853533268,
0.016214365139603615,
0.01663115993142128,
-0.021749496459960938,
0.024752255529165268,
-0.05536183342337608,
0.026175208389759064,
0.007879648357629776,
-0.04712279140949249,
0.031808849424123764,
-0.0315423384308815,
0.04346323013305664,
-0.08773345500230789,
0.011564831249415874,
0.014064708724617958,
-0.012172366492450237,
0.0555403009057045,
-0.02329343743622303,
-0.0390976220369339,
-0.060127634555101395,
0.033409371972084045,
-0.05555043742060661,
-0.006918256636708975,
0.000036559871659846976,
-0.05027083307504654,
0.002722764853388071,
0.0036930497735738754,
0.0020778384059667587,
-0.024970149621367455,
-0.0224294513463974,
-0.011163578368723392,
0.08619953691959381,
-0.07151883095502853,
0.005606981460005045,
0.03541231527924538,
0.022756552323698997,
0.03883817419409752,
-0.0433766171336174,
-0.04067676141858101,
0.014944574795663357,
0.07334611564874649,
-0.056588683277368546,
-0.10999397933483124,
-0.09955639392137527,
-0.06484568119049072,
0.03753305971622467,
0.029245618730783463,
-0.0843765065073967,
-0.008944302797317505,
0.03172784298658371,
0.01819978840649128,
-0.01590604893863201,
-0.06360384821891785,
0.008992429822683334,
0.0925561785697937,
-0.042586877942085266,
-0.10597772896289825,
0.0052353013306856155,
-0.0005874518537893891,
0.10660769790410995,
-0.020086755976080894,
-0.08148147165775299,
0.14898285269737244,
0.014914690516889095,
0.011199030093848705,
-0.014138278551399708,
-0.06345833092927933,
0.010927830822765827,
0.06553878635168076,
-0.08116549253463745,
0.010347399860620499,
-0.008621281944215298,
-0.0015655516181141138,
-5.32781889717171e-8,
0.10033319890499115,
0.016015145927667618,
-0.015656227245926857,
-0.009025322273373604,
0.022630248218774796,
0.055859360843896866,
0.028915435075759888,
0.02230231836438179,
-0.007597319316118956,
-0.026288000866770744,
0.005811843555420637,
-0.005604614969342947,
0.030682768672704697,
0.023409457877278328,
-0.011311712674796581,
0.08839308470487595,
-0.012760527431964874,
-0.02170262672007084,
-0.04147937521338463,
-0.08766151964664459,
-0.018696321174502373,
0.0037264612037688494,
-0.10721369832754135,
0.008836548775434494,
0.011228255927562714,
0.04936841130256653,
-0.0022911569103598595,
-0.16214294731616974,
-0.04837512597441673,
-0.06364135444164276,
-0.11176414042711258,
0.05807499587535858,
-0.06613510102033615,
0.07224855571985245,
0.0451064258813858,
0.03636239096522331,
0.03806702420115471,
0.050031937658786774,
-0.08194469660520554,
0.0700501874089241,
-0.01665632799267769,
-0.0030968962237238884,
0.02813177928328514,
-0.004450099542737007,
-0.007703246548771858,
0.06337326020002365,
-0.005368197336792946,
0.030773712322115898,
-0.01756991073489189,
0.07850583642721176,
0.01098270621150732,
-0.04002120718359947,
-0.007123212330043316,
-0.0037904996424913406,
0.048176445066928864,
0.058706071227788925,
-0.12798470258712769,
-0.06235281750559807,
-0.008292247541248798,
-0.0002536875836085528,
0.08567697554826736,
0.05612832307815552,
-0.003977653104811907,
0.05814460292458534
] | null | null | null | null | null | null | null | [
-0.01701827347278595,
0.0009321896359324455,
0.026500729843974113,
0.035991355776786804,
0.08689399063587189,
-0.024232542142271996,
0.13125824928283691,
0.05239468440413475,
-0.03642177954316139,
0.04290986806154251,
-0.03282896801829338,
-0.040599580854177475,
-0.044607359915971756,
0.08664786070585251,
0.033139750361442566,
-0.04460806027054787,
0.03701514005661011,
-0.035583432763814926,
0.0038857306353747845,
0.06793109327554703,
0.005942082963883877,
0.0005979375564493239,
-0.000830029312055558,
-0.03336673229932785,
0.013845903798937798,
-0.022583719342947006,
0.08858408033847809,
-0.01150122657418251,
-0.027184557169675827,
-0.04040978103876114,
0.02585155889391899,
-0.05534778907895088,
-0.10653901845216751,
0.039785683155059814,
0.014152470976114273,
0.031083691865205765,
-0.054875459522008896,
0.10765599459409714,
-0.04878171160817146,
-0.022900734096765518,
0.005380148068070412,
0.049737729132175446,
-0.034838590770959854,
-0.07573544234037399,
0.06904464215040207,
-0.06915536522865295,
0.07759810984134674,
0.007308004889637232,
0.08354711532592773,
-0.035406287759542465,
0.037195995450019836,
0.007358146365731955,
-0.057759251445531845,
0.055270858108997345,
-0.07644873857498169,
-0.00830986350774765,
0.0459042452275753,
-0.051882706582546234,
-0.05214079096913338,
0.008434975519776344,
-0.04392508044838905,
-0.03179187700152397,
0.06742911040782928,
-0.03521227091550827,
0.060734815895557404,
-0.04403117671608925,
0.03240692615509033,
0.05455043539404869,
0.0518319196999073,
0.08420691639184952,
0.05452585592865944,
0.04383496567606926,
-0.07339031994342804,
-0.07005999237298965,
0.01945384219288826,
-0.015339646488428116,
-0.03402409330010414,
0.10781561583280563,
-0.010114346630871296,
-0.049707431346178055,
0.021855875849723816,
0.01921483501791954,
-0.030711254104971886,
0.012599760666489601,
-0.07602628320455551,
0.06215338408946991,
0.004126237705349922,
-0.07093673944473267,
0.032093293964862823,
0.0006190599524416029,
-0.05007369443774223,
0.03097551502287388,
-0.07119803130626678,
0.03084844909608364,
0.00871650967746973,
-0.07338088005781174,
0.034804828464984894,
-0.00010641462722560391,
-0.00847409013658762,
0.02456527389585972,
0.021150562912225723,
-0.014822928234934807,
-0.057811569422483444,
0.020562265068292618,
0.07919614017009735,
-0.04657665267586708,
0.13849946856498718,
0.012909597717225552,
0.04368216544389725,
0.0840393528342247,
0.0797087550163269,
-0.03139800205826759,
-0.0034911874681711197,
0.032758038491010666,
-0.005619725678116083,
0.0012007710756734014,
0.05328458547592163,
0.06477101147174835,
0.037323568016290665,
0.01287797186523676,
0.004481354262679815,
0.003349113976582885,
-0.10207969695329666,
-0.03338249400258064,
-0.0046140109188854694,
0.10672187805175781,
-0.004708294291049242,
1.4339938237627628e-33,
0.029002970084547997,
0.049609821289777756,
0.04581473022699356,
0.023984182626008987,
-0.05530364066362381,
-0.11432693898677826,
0.049533504992723465,
0.06848567724227905,
-0.09569627046585083,
0.013090315274894238,
-0.08480004966259003,
-0.017309043556451797,
-0.007131543476134539,
0.0012860134011134505,
0.027624985203146935,
-0.0420745424926281,
-0.010542728938162327,
-0.007484736852347851,
0.008412188850343227,
0.052958033978939056,
0.02122366428375244,
-0.06940519064664841,
-0.010902980342507362,
-0.038837283849716187,
0.037455614656209946,
-0.06932251900434494,
-0.032002419233322144,
-0.07935203611850739,
0.014861439354717731,
0.02250129170715809,
-0.031001413241028786,
0.015501055866479874,
0.05996651202440262,
0.08810792118310928,
0.060530100017786026,
0.004316939041018486,
-0.05730217322707176,
0.015607916750013828,
0.06025709584355354,
-0.0539109893143177,
-0.059117406606674194,
-0.042138535529375076,
0.043986741453409195,
0.0028312248177826405,
-0.045764535665512085,
-0.022529898211359978,
0.0031395775731652975,
-0.059065837413072586,
-0.04778309911489487,
-0.020031124353408813,
-0.04493261128664017,
0.038217172026634216,
0.002016810467466712,
-0.004292215220630169,
0.012656626291573048,
-0.08552835881710052,
0.033128999173641205,
0.018067652359604836,
0.04395506531000137,
0.014680327847599983,
0.08112339675426483,
0.08013354986906052,
-0.0032424686942249537,
0.00006086900248192251,
0.01528962329030037,
0.06099274009466171,
-0.10281981527805328,
0.021020593121647835,
0.021322261542081833,
-0.044971685856580734,
-0.0614573173224926,
0.03692854940891266,
0.08219924569129944,
-0.10040141642093658,
0.00043162060319446027,
0.05283002555370331,
0.0682804211974144,
-0.011844259686768055,
0.10082659125328064,
-0.07227533310651779,
0.0031215071212500334,
-0.040463581681251526,
-0.0130037572234869,
-0.0352938175201416,
-0.08867495507001877,
-0.024637803435325623,
0.006513800472021103,
-0.0010801524622365832,
-0.023808330297470093,
-0.016051610931754112,
0.003484124317765236,
0.03254110366106033,
0.019777711480855942,
-0.11864712089300156,
-0.05690015107393265,
-3.5578959349406804e-33,
-0.04024116322398186,
-0.007490523625165224,
-0.06072508916258812,
-0.019089730456471443,
0.030963966622948647,
0.048325665295124054,
-0.055193942040205,
0.0978119745850563,
0.03417365252971649,
-0.021176643669605255,
-0.0680769756436348,
0.07242476940155029,
0.06396889686584473,
-0.01575065217912197,
-0.04866912215948105,
0.029500683769583702,
-0.08469463884830475,
-0.04154599457979202,
0.051768507808446884,
-0.03854439780116081,
-0.05199866741895676,
0.06822521239519119,
0.0560968853533268,
0.016214365139603615,
0.01663115993142128,
-0.021749496459960938,
0.024752255529165268,
-0.05536183342337608,
0.026175208389759064,
0.007879648357629776,
-0.04712279140949249,
0.031808849424123764,
-0.0315423384308815,
0.04346323013305664,
-0.08773345500230789,
0.011564831249415874,
0.014064708724617958,
-0.012172366492450237,
0.0555403009057045,
-0.02329343743622303,
-0.0390976220369339,
-0.060127634555101395,
0.033409371972084045,
-0.05555043742060661,
-0.006918256636708975,
0.000036559871659846976,
-0.05027083307504654,
0.002722764853388071,
0.0036930497735738754,
0.0020778384059667587,
-0.024970149621367455,
-0.0224294513463974,
-0.011163578368723392,
0.08619953691959381,
-0.07151883095502853,
0.005606981460005045,
0.03541231527924538,
0.022756552323698997,
0.03883817419409752,
-0.0433766171336174,
-0.04067676141858101,
0.014944574795663357,
0.07334611564874649,
-0.056588683277368546,
-0.10999397933483124,
-0.09955639392137527,
-0.06484568119049072,
0.03753305971622467,
0.029245618730783463,
-0.0843765065073967,
-0.008944302797317505,
0.03172784298658371,
0.01819978840649128,
-0.01590604893863201,
-0.06360384821891785,
0.008992429822683334,
0.0925561785697937,
-0.042586877942085266,
-0.10597772896289825,
0.0052353013306856155,
-0.0005874518537893891,
0.10660769790410995,
-0.020086755976080894,
-0.08148147165775299,
0.14898285269737244,
0.014914690516889095,
0.011199030093848705,
-0.014138278551399708,
-0.06345833092927933,
0.010927830822765827,
0.06553878635168076,
-0.08116549253463745,
0.010347399860620499,
-0.008621281944215298,
-0.0015655516181141138,
-5.32781889717171e-8,
0.10033319890499115,
0.016015145927667618,
-0.015656227245926857,
-0.009025322273373604,
0.022630248218774796,
0.055859360843896866,
0.028915435075759888,
0.02230231836438179,
-0.007597319316118956,
-0.026288000866770744,
0.005811843555420637,
-0.005604614969342947,
0.030682768672704697,
0.023409457877278328,
-0.011311712674796581,
0.08839308470487595,
-0.012760527431964874,
-0.02170262672007084,
-0.04147937521338463,
-0.08766151964664459,
-0.018696321174502373,
0.0037264612037688494,
-0.10721369832754135,
0.008836548775434494,
0.011228255927562714,
0.04936841130256653,
-0.0022911569103598595,
-0.16214294731616974,
-0.04837512597441673,
-0.06364135444164276,
-0.11176414042711258,
0.05807499587535858,
-0.06613510102033615,
0.07224855571985245,
0.0451064258813858,
0.03636239096522331,
0.03806702420115471,
0.050031937658786774,
-0.08194469660520554,
0.0700501874089241,
-0.01665632799267769,
-0.0030968962237238884,
0.02813177928328514,
-0.004450099542737007,
-0.007703246548771858,
0.06337326020002365,
-0.005368197336792946,
0.030773712322115898,
-0.01756991073489189,
0.07850583642721176,
0.01098270621150732,
-0.04002120718359947,
-0.007123212330043316,
-0.0037904996424913406,
0.048176445066928864,
0.058706071227788925,
-0.12798470258712769,
-0.06235281750559807,
-0.008292247541248798,
-0.0002536875836085528,
0.08567697554826736,
0.05612832307815552,
-0.003977653104811907,
0.05814460292458534
] |
1401.1699 | Stefan Willitsch | Stefan Willitsch | Ion-atom hybrid systems | To appear in the Proceedings of the International School of Physics
Enrico Fermi, Course 189: Ion Traps for Tomorrows Applications | null | null | null | physics.atom-ph physics.chem-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The study of interactions between simultaneously trapped cold ions and atoms
has emerged as a new research direction in recent years. The development of
ion-atom hybrid experiments has paved the way for investigating elastic,
inelastic and reactive collisions between these species at very low
temperatures, for exploring new cooling mechanisms of ions by atoms and for
implementing new hybrid quantum systems. The present lecture reviews
experimental methods, recent results and upcoming developments in this emerging
field.
| [
{
"created": "Wed, 8 Jan 2014 13:43:34 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Willitsch",
"Stefan",
""
]
] | [
-0.009126387536525726,
-0.00797710008919239,
-0.02043302170932293,
0.08993245661258698,
-0.06465993076562881,
0.0026948091108351946,
0.004083975683897734,
0.01962047629058361,
-0.002828685799613595,
0.01710689812898636,
0.017940126359462738,
-0.0439913235604763,
0.04784022271633148,
0.002290920354425907,
0.03925232216715813,
-0.006552586331963539,
-0.0004974627518095076,
0.030424058437347412,
-0.11488718539476395,
-0.023350100964307785,
-0.06973377615213394,
-0.06934554874897003,
-0.011002212762832642,
-0.050318390130996704,
0.003356138477101922,
0.07584759593009949,
0.048315782099962234,
-0.04234892502427101,
-0.012383360415697098,
0.04412224516272545,
-0.01547173410654068,
-0.07120484858751297,
-0.06871698051691055,
-0.008674846030771732,
0.028666788712143898,
-0.023549029603600502,
-0.0738123282790184,
0.03452225401997566,
-0.01759534887969494,
-0.08181958645582199,
-0.009536943398416042,
0.045956145972013474,
0.06164702773094177,
-0.002090292051434517,
0.01050287764519453,
0.013265766203403473,
0.02425551787018776,
0.03108164481818676,
-0.012873292900621891,
-0.03627314791083336,
-0.03481747955083847,
0.02973257377743721,
0.0642487034201622,
0.07246886938810349,
-0.052621059119701385,
0.05755544453859329,
-0.011636268347501755,
-0.0010963077656924725,
-0.030349422246217728,
-0.04280748963356018,
-0.00034581543877720833,
0.06156424432992935,
0.016372401267290115,
0.05895595625042915,
0.04909605160355568,
0.008375301025807858,
0.02870304509997368,
0.05374889075756073,
0.04430476948618889,
0.013963094912469387,
-0.02850346453487873,
-0.009346678853034973,
-0.01230398379266262,
-0.01853019744157791,
0.05173566937446594,
-0.023862116038799286,
0.00979659054428339,
0.012507006525993347,
0.021681619808077812,
0.038203127682209015,
-0.017070524394512177,
-0.13412223756313324,
-0.03814508393406868,
-0.03470518812537193,
-0.019705800339579582,
0.04323676601052284,
0.07020274549722672,
-0.02557012252509594,
0.004407606553286314,
-0.05175510048866272,
-0.0019933641888201237,
0.029451942071318626,
0.06133010983467102,
-0.039306581020355225,
0.003696664236485958,
0.0478997528553009,
0.026635728776454926,
0.06363938003778458,
-0.019763555377721786,
-0.011612544767558575,
0.13977289199829102,
0.02455570176243782,
0.003310589352622628,
0.08108403533697128,
-0.006614279467612505,
0.00520164892077446,
0.0157240629196167,
-0.10555092990398407,
-0.031950414180755615,
0.08629131317138672,
0.04863390699028969,
-0.054428521543741226,
0.06746051460504532,
0.01001549232751131,
0.03216394782066345,
-0.00116178288590163,
-0.01594136841595173,
0.022942062467336655,
0.06488390266895294,
0.0665174052119255,
-0.0350547730922699,
0.015668731182813644,
-0.027755526825785637,
0.049524687230587006,
0.09442627429962158,
0.02015596814453602,
-0.10098924487829208,
6.834863230043227e-34,
0.03275934234261513,
-0.037863120436668396,
-0.04859047755599022,
0.0020815259777009487,
0.004867170471698046,
-0.12013424187898636,
-0.0015926643973216414,
0.023824481293559074,
-0.15674863755702972,
0.02468542940914631,
0.03904019668698311,
-0.026113232597708702,
0.08870823681354523,
-0.04974884167313576,
-0.0009743100963532925,
0.010906467214226723,
-0.05630374327301979,
-0.00499691953882575,
0.0000013726917131862137,
0.11251452565193176,
-0.06095202639698982,
0.04720352590084076,
0.06748375296592712,
0.07350218296051025,
-0.010894281789660454,
0.05036747455596924,
0.06101095676422119,
-0.06521176546812057,
0.009692976251244545,
-0.022312914952635765,
0.019257763400673866,
-0.000488419842440635,
-0.10048816353082657,
0.05910801514983177,
0.011895756237208843,
0.016273438930511475,
-0.09350065141916275,
0.008399263955652714,
-0.018671520054340363,
-0.026150451973080635,
0.018117133527994156,
-0.09006130695343018,
0.018540745601058006,
0.017614159733057022,
0.052635375410318375,
-0.029658138751983643,
-0.03098839521408081,
0.00968465767800808,
0.03446356952190399,
0.0005791842704638839,
0.04709065333008766,
-0.016046132892370224,
-0.015643032267689705,
0.025233030319213867,
0.08254725486040115,
-0.03872847184538841,
0.006558283232152462,
-0.011989322490990162,
-0.0379415862262249,
-0.005994127131998539,
-0.08849960565567017,
-0.058125242590904236,
-0.00007591045869048685,
0.06443958729505539,
-0.039527010172605515,
0.11177069693803787,
-0.09604949504137039,
0.026759188622236252,
0.004046923015266657,
0.012232072651386261,
0.03942638635635376,
-0.0032749183010309935,
0.07111258059740067,
-0.05222729966044426,
0.035774968564510345,
0.035201262682676315,
-0.002846828429028392,
-0.08395324647426605,
0.06498991698026657,
-0.044687412679195404,
0.0386577770113945,
-0.07215753942728043,
0.06440617144107819,
-0.005381703842431307,
-0.11371193081140518,
-0.11407775431871414,
-0.044019926339387894,
0.012380600906908512,
0.01194090023636818,
0.03489416465163231,
0.04052908346056938,
-0.034476615488529205,
0.012479016557335854,
-0.0024134113918989897,
0.04420296847820282,
-3.2940617380283874e-33,
-0.0011789139825850725,
-0.009517616592347622,
0.017103053629398346,
0.006559673696756363,
-0.02801991067826748,
0.03396425023674965,
-0.056801386177539825,
-0.009456687606871128,
-0.0030775873456150293,
-0.023641113191843033,
0.08462094515562057,
-0.015542827546596527,
0.03574373200535774,
-0.03428581729531288,
-0.027702804654836655,
0.03051627427339554,
0.06450548022985458,
-0.029564131051301956,
0.1565069556236267,
0.013184456154704094,
-0.0008104110020212829,
-0.010169225744903088,
0.05207682400941849,
-0.032698050141334534,
0.044083140790462494,
-0.032063692808151245,
0.1640435755252838,
-0.056163713335990906,
0.022765349596738815,
-0.07366852462291718,
0.002410213928669691,
-0.027827922254800797,
-0.0385328084230423,
0.01978258788585663,
-0.06722968071699142,
0.0055939252488315105,
0.006059145554900169,
-0.009604993276298046,
0.019568415358662605,
-0.09165874868631363,
-0.0006175549351610243,
-0.038052503019571304,
-0.010191372595727444,
0.025206714868545532,
0.03679955005645752,
0.03912077471613884,
-0.1252964287996292,
0.011472104117274284,
0.043196432292461395,
-0.0708717331290245,
0.005246096756309271,
-0.05843422934412956,
-0.03585880249738693,
-0.032730598002672195,
-0.047831110656261444,
0.015772458165884018,
0.05389317870140076,
0.08871681988239288,
0.02168801985681057,
-0.00864338967949152,
0.0022710291668772697,
-0.060831788927316666,
0.050882868468761444,
-0.051625605672597885,
-0.05301092192530632,
-0.02710637077689171,
-0.07693222165107727,
0.015944460406899452,
-0.026672421023249626,
-0.054098136723041534,
0.02370593138039112,
0.05810936912894249,
0.03943498805165291,
-0.018662497401237488,
0.06352731585502625,
-0.033301666378974915,
0.0732043981552124,
-0.1396792083978653,
0.04871133714914322,
-0.009260263293981552,
-0.06611527502536774,
0.06357542425394058,
-0.030082136392593384,
-0.022585352882742882,
0.09192874282598495,
0.03287903964519501,
-0.10277335345745087,
0.045067232102155685,
-0.01057436317205429,
-0.019263004884123802,
0.023396765813231468,
-0.02753308229148388,
0.06807051599025726,
-0.0818333700299263,
0.040812503546476364,
-3.7591959767269145e-8,
0.07133927196264267,
0.010275052860379219,
-0.031484995037317276,
0.03670922666788101,
-0.00505003472790122,
0.11218436807394028,
-0.05786241963505745,
-0.057045284658670425,
-0.027319330722093582,
0.0048787775449454784,
0.00997477862983942,
-0.020238609984517097,
0.03376483917236328,
0.11780841648578644,
0.04778500646352768,
-0.03626413270831108,
-0.022528162226080894,
-0.06580493599176407,
-0.03798646852374077,
-0.09684242308139801,
-0.050602857023477554,
-0.016070904210209846,
0.029119431972503662,
0.02483498491346836,
-0.050699371844530106,
0.046324342489242554,
0.011046664789319038,
-0.053000885993242264,
0.028439106419682503,
-0.1246105208992958,
-0.18887968361377716,
-0.019661208614706993,
0.04333266615867615,
0.011341871693730354,
0.025665057823061943,
0.0136997876688838,
0.0476854182779789,
0.047308020293712616,
-0.011653459630906582,
-0.04797649383544922,
-0.04738534986972809,
0.01197150070220232,
-0.04472732171416283,
-0.004035368096083403,
0.013528313487768173,
-0.006106006447225809,
-0.06798797100782394,
0.0031229269225150347,
0.0280609168112278,
0.12256122380495071,
0.021741369739174843,
0.03164268285036087,
-0.014928178861737251,
-0.020246056839823723,
-0.02607083134353161,
0.019945278763771057,
-0.04389282315969467,
-0.02609466016292572,
-0.010152259841561317,
0.08373095840215683,
0.08289817720651627,
-0.0869525745511055,
-0.11589226871728897,
-0.021077901124954224
] | null | null | null | null | null | null | null | [
-0.009126387536525726,
-0.00797710008919239,
-0.02043302170932293,
0.08993245661258698,
-0.06465993076562881,
0.0026948091108351946,
0.004083975683897734,
0.01962047629058361,
-0.002828685799613595,
0.01710689812898636,
0.017940126359462738,
-0.0439913235604763,
0.04784022271633148,
0.002290920354425907,
0.03925232216715813,
-0.006552586331963539,
-0.0004974627518095076,
0.030424058437347412,
-0.11488718539476395,
-0.023350100964307785,
-0.06973377615213394,
-0.06934554874897003,
-0.011002212762832642,
-0.050318390130996704,
0.003356138477101922,
0.07584759593009949,
0.048315782099962234,
-0.04234892502427101,
-0.012383360415697098,
0.04412224516272545,
-0.01547173410654068,
-0.07120484858751297,
-0.06871698051691055,
-0.008674846030771732,
0.028666788712143898,
-0.023549029603600502,
-0.0738123282790184,
0.03452225401997566,
-0.01759534887969494,
-0.08181958645582199,
-0.009536943398416042,
0.045956145972013474,
0.06164702773094177,
-0.002090292051434517,
0.01050287764519453,
0.013265766203403473,
0.02425551787018776,
0.03108164481818676,
-0.012873292900621891,
-0.03627314791083336,
-0.03481747955083847,
0.02973257377743721,
0.0642487034201622,
0.07246886938810349,
-0.052621059119701385,
0.05755544453859329,
-0.011636268347501755,
-0.0010963077656924725,
-0.030349422246217728,
-0.04280748963356018,
-0.00034581543877720833,
0.06156424432992935,
0.016372401267290115,
0.05895595625042915,
0.04909605160355568,
0.008375301025807858,
0.02870304509997368,
0.05374889075756073,
0.04430476948618889,
0.013963094912469387,
-0.02850346453487873,
-0.009346678853034973,
-0.01230398379266262,
-0.01853019744157791,
0.05173566937446594,
-0.023862116038799286,
0.00979659054428339,
0.012507006525993347,
0.021681619808077812,
0.038203127682209015,
-0.017070524394512177,
-0.13412223756313324,
-0.03814508393406868,
-0.03470518812537193,
-0.019705800339579582,
0.04323676601052284,
0.07020274549722672,
-0.02557012252509594,
0.004407606553286314,
-0.05175510048866272,
-0.0019933641888201237,
0.029451942071318626,
0.06133010983467102,
-0.039306581020355225,
0.003696664236485958,
0.0478997528553009,
0.026635728776454926,
0.06363938003778458,
-0.019763555377721786,
-0.011612544767558575,
0.13977289199829102,
0.02455570176243782,
0.003310589352622628,
0.08108403533697128,
-0.006614279467612505,
0.00520164892077446,
0.0157240629196167,
-0.10555092990398407,
-0.031950414180755615,
0.08629131317138672,
0.04863390699028969,
-0.054428521543741226,
0.06746051460504532,
0.01001549232751131,
0.03216394782066345,
-0.00116178288590163,
-0.01594136841595173,
0.022942062467336655,
0.06488390266895294,
0.0665174052119255,
-0.0350547730922699,
0.015668731182813644,
-0.027755526825785637,
0.049524687230587006,
0.09442627429962158,
0.02015596814453602,
-0.10098924487829208,
6.834863230043227e-34,
0.03275934234261513,
-0.037863120436668396,
-0.04859047755599022,
0.0020815259777009487,
0.004867170471698046,
-0.12013424187898636,
-0.0015926643973216414,
0.023824481293559074,
-0.15674863755702972,
0.02468542940914631,
0.03904019668698311,
-0.026113232597708702,
0.08870823681354523,
-0.04974884167313576,
-0.0009743100963532925,
0.010906467214226723,
-0.05630374327301979,
-0.00499691953882575,
0.0000013726917131862137,
0.11251452565193176,
-0.06095202639698982,
0.04720352590084076,
0.06748375296592712,
0.07350218296051025,
-0.010894281789660454,
0.05036747455596924,
0.06101095676422119,
-0.06521176546812057,
0.009692976251244545,
-0.022312914952635765,
0.019257763400673866,
-0.000488419842440635,
-0.10048816353082657,
0.05910801514983177,
0.011895756237208843,
0.016273438930511475,
-0.09350065141916275,
0.008399263955652714,
-0.018671520054340363,
-0.026150451973080635,
0.018117133527994156,
-0.09006130695343018,
0.018540745601058006,
0.017614159733057022,
0.052635375410318375,
-0.029658138751983643,
-0.03098839521408081,
0.00968465767800808,
0.03446356952190399,
0.0005791842704638839,
0.04709065333008766,
-0.016046132892370224,
-0.015643032267689705,
0.025233030319213867,
0.08254725486040115,
-0.03872847184538841,
0.006558283232152462,
-0.011989322490990162,
-0.0379415862262249,
-0.005994127131998539,
-0.08849960565567017,
-0.058125242590904236,
-0.00007591045869048685,
0.06443958729505539,
-0.039527010172605515,
0.11177069693803787,
-0.09604949504137039,
0.026759188622236252,
0.004046923015266657,
0.012232072651386261,
0.03942638635635376,
-0.0032749183010309935,
0.07111258059740067,
-0.05222729966044426,
0.035774968564510345,
0.035201262682676315,
-0.002846828429028392,
-0.08395324647426605,
0.06498991698026657,
-0.044687412679195404,
0.0386577770113945,
-0.07215753942728043,
0.06440617144107819,
-0.005381703842431307,
-0.11371193081140518,
-0.11407775431871414,
-0.044019926339387894,
0.012380600906908512,
0.01194090023636818,
0.03489416465163231,
0.04052908346056938,
-0.034476615488529205,
0.012479016557335854,
-0.0024134113918989897,
0.04420296847820282,
-3.2940617380283874e-33,
-0.0011789139825850725,
-0.009517616592347622,
0.017103053629398346,
0.006559673696756363,
-0.02801991067826748,
0.03396425023674965,
-0.056801386177539825,
-0.009456687606871128,
-0.0030775873456150293,
-0.023641113191843033,
0.08462094515562057,
-0.015542827546596527,
0.03574373200535774,
-0.03428581729531288,
-0.027702804654836655,
0.03051627427339554,
0.06450548022985458,
-0.029564131051301956,
0.1565069556236267,
0.013184456154704094,
-0.0008104110020212829,
-0.010169225744903088,
0.05207682400941849,
-0.032698050141334534,
0.044083140790462494,
-0.032063692808151245,
0.1640435755252838,
-0.056163713335990906,
0.022765349596738815,
-0.07366852462291718,
0.002410213928669691,
-0.027827922254800797,
-0.0385328084230423,
0.01978258788585663,
-0.06722968071699142,
0.0055939252488315105,
0.006059145554900169,
-0.009604993276298046,
0.019568415358662605,
-0.09165874868631363,
-0.0006175549351610243,
-0.038052503019571304,
-0.010191372595727444,
0.025206714868545532,
0.03679955005645752,
0.03912077471613884,
-0.1252964287996292,
0.011472104117274284,
0.043196432292461395,
-0.0708717331290245,
0.005246096756309271,
-0.05843422934412956,
-0.03585880249738693,
-0.032730598002672195,
-0.047831110656261444,
0.015772458165884018,
0.05389317870140076,
0.08871681988239288,
0.02168801985681057,
-0.00864338967949152,
0.0022710291668772697,
-0.060831788927316666,
0.050882868468761444,
-0.051625605672597885,
-0.05301092192530632,
-0.02710637077689171,
-0.07693222165107727,
0.015944460406899452,
-0.026672421023249626,
-0.054098136723041534,
0.02370593138039112,
0.05810936912894249,
0.03943498805165291,
-0.018662497401237488,
0.06352731585502625,
-0.033301666378974915,
0.0732043981552124,
-0.1396792083978653,
0.04871133714914322,
-0.009260263293981552,
-0.06611527502536774,
0.06357542425394058,
-0.030082136392593384,
-0.022585352882742882,
0.09192874282598495,
0.03287903964519501,
-0.10277335345745087,
0.045067232102155685,
-0.01057436317205429,
-0.019263004884123802,
0.023396765813231468,
-0.02753308229148388,
0.06807051599025726,
-0.0818333700299263,
0.040812503546476364,
-3.7591959767269145e-8,
0.07133927196264267,
0.010275052860379219,
-0.031484995037317276,
0.03670922666788101,
-0.00505003472790122,
0.11218436807394028,
-0.05786241963505745,
-0.057045284658670425,
-0.027319330722093582,
0.0048787775449454784,
0.00997477862983942,
-0.020238609984517097,
0.03376483917236328,
0.11780841648578644,
0.04778500646352768,
-0.03626413270831108,
-0.022528162226080894,
-0.06580493599176407,
-0.03798646852374077,
-0.09684242308139801,
-0.050602857023477554,
-0.016070904210209846,
0.029119431972503662,
0.02483498491346836,
-0.050699371844530106,
0.046324342489242554,
0.011046664789319038,
-0.053000885993242264,
0.028439106419682503,
-0.1246105208992958,
-0.18887968361377716,
-0.019661208614706993,
0.04333266615867615,
0.011341871693730354,
0.025665057823061943,
0.0136997876688838,
0.0476854182779789,
0.047308020293712616,
-0.011653459630906582,
-0.04797649383544922,
-0.04738534986972809,
0.01197150070220232,
-0.04472732171416283,
-0.004035368096083403,
0.013528313487768173,
-0.006106006447225809,
-0.06798797100782394,
0.0031229269225150347,
0.0280609168112278,
0.12256122380495071,
0.021741369739174843,
0.03164268285036087,
-0.014928178861737251,
-0.020246056839823723,
-0.02607083134353161,
0.019945278763771057,
-0.04389282315969467,
-0.02609466016292572,
-0.010152259841561317,
0.08373095840215683,
0.08289817720651627,
-0.0869525745511055,
-0.11589226871728897,
-0.021077901124954224
] |
1401.1702 | Gerd Kortemeyer | Gerd Kortemeyer | Extending Item Response Theory to Online Homework | null | Physical Review SPECIAL TOPICS - PHYSICS EDUCATION RESEARCH 10,
010118 (2014) | 10.1103/PhysRevSTPER.10.010118 | null | physics.ed-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Item Response Theory becomes an increasingly important tool when analyzing
``Big Data'' gathered from online educational venues. However, the mechanism
was originally developed in traditional exam settings, and several of its
assumptions are infringed upon when deployed in the online realm. For a large
enrollment physics course for scientists and engineers, the study compares
outcomes from IRT analyses of exam and homework data, and then proceeds to
investigate the effects of each confounding factor introduced in the online
realm. It is found that IRT yields the correct trends for learner ability and
meaningful item parameters, yet overall agreement with exam data is moderate.
It is also found that learner ability and item discrimination is over wide
ranges robust with respect to model assumptions and introduced noise, less so
than item difficulty.
| [
{
"created": "Wed, 8 Jan 2014 13:57:24 GMT",
"version": "v1"
}
] | 2014-05-29 | [
[
"Kortemeyer",
"Gerd",
""
]
] | [
0.00543400552123785,
0.04806707426905632,
-0.022280152887105942,
0.06721208989620209,
0.03120260313153267,
-0.05556418374180794,
0.008914072997868061,
0.07258480042219162,
-0.03524213656783104,
0.0769009217619896,
0.028206491842865944,
0.06613126397132874,
-0.011447614058852196,
0.0010853020939975977,
-0.006899985950440168,
-0.03744253143668175,
0.07829976826906204,
-0.0197109654545784,
-0.08395494520664215,
-0.0727543756365776,
-0.03936392441391945,
0.008147159591317177,
0.04106178507208824,
0.032437052577733994,
0.007317772135138512,
-0.01604849100112915,
-0.014255739748477936,
-0.04669758677482605,
0.00490734213963151,
-0.08863218128681183,
-0.03366867080330849,
0.01445273868739605,
0.010448893532156944,
0.04865458235144615,
-0.059670884162187576,
0.005720809567719698,
0.0025615168269723654,
0.006357936654239893,
-0.06474541872739792,
0.058724720031023026,
-0.06587274372577667,
-0.032364606857299805,
0.01268818136304617,
-0.03498304262757301,
0.0535273477435112,
-0.061215199530124664,
0.02302454225718975,
-0.08703470230102539,
-0.04645281285047531,
0.09195946902036667,
-0.09637957066297531,
-0.005760840140283108,
-0.06650210171937943,
0.05474716052412987,
-0.033879805356264114,
0.057193513959646225,
0.017751412466168404,
0.010246719233691692,
-0.03001117892563343,
0.03377973288297653,
-0.10147091001272202,
-0.1095651313662529,
-0.029884817078709602,
0.02673288621008396,
0.012797421775758266,
0.06879454851150513,
-0.04668349772691727,
0.02398555353283882,
0.004359970334917307,
-0.009193198755383492,
-0.007041303440928459,
0.06946054100990295,
-0.049646228551864624,
0.06764975190162659,
0.1787303239107132,
-0.04084794595837593,
0.01842550002038479,
0.03677675500512123,
0.05264614522457123,
0.09883884340524673,
0.0040983641520142555,
-0.00337254093028605,
-0.020620498806238174,
-0.09443975985050201,
0.09127648174762726,
-0.05196961760520935,
0.025372643023729324,
0.01780216209590435,
-0.05000030994415283,
-0.005859831813722849,
0.08083189278841019,
-0.0506158210337162,
0.031289659440517426,
0.07660320401191711,
0.04532986134290695,
0.022187896072864532,
0.014413402415812016,
-0.061423409730196,
0.012922021560370922,
-0.013565688394010067,
0.01565658487379551,
0.10083097219467163,
-0.024703772738575935,
0.01762533187866211,
-0.09751585870981216,
-0.030338697135448456,
0.055301208049058914,
-0.04718952253460884,
0.03701713681221008,
-0.05710221454501152,
-0.06672938913106918,
0.03977328538894653,
-0.039364293217659,
-0.024410540238022804,
-0.025351596996188164,
-0.06350980699062347,
0.06554173678159714,
0.057913657277822495,
0.008131405338644981,
-0.05475793778896332,
0.053663354367017746,
0.04623670503497124,
0.034364089369773865,
-0.09030581265687943,
0.05366578325629234,
-0.05637580156326294,
-0.1190967932343483,
6.233718541439579e-33,
0.052141886204481125,
-0.014660090208053589,
0.0037957755848765373,
-0.015162917785346508,
0.027142489328980446,
-0.04849950224161148,
-0.018000181764364243,
0.10268158465623856,
0.04350832849740982,
0.046909961849451065,
0.08816996961832047,
0.06742148846387863,
0.04997233673930168,
0.0340246818959713,
0.10716424137353897,
0.061982396990060806,
-0.09057788550853729,
0.08026893436908722,
-0.05794442072510719,
0.006713976617902517,
0.027786241844296455,
-0.09637157618999481,
0.0438210628926754,
-0.020383883267641068,
-0.014533194713294506,
-0.005091506987810135,
0.009421566501259804,
0.04997905716300011,
-0.044564004987478256,
-0.013697103597223759,
-0.05860133841633797,
-0.06588327139616013,
-0.03178158402442932,
0.014755206182599068,
0.046336863189935684,
0.006389606278389692,
0.03416796773672104,
-0.03931618109345436,
0.0346650704741478,
-0.07277773320674896,
-0.03693711385130882,
0.042144421488046646,
-0.03148248791694641,
0.01733490079641342,
-0.027562938630580902,
0.0164675023406744,
0.07076434791088104,
-0.05475379899144173,
0.024236125871539116,
0.032651472836732864,
-0.09333784133195877,
-0.03525565564632416,
0.01953955553472042,
-0.04170088842511177,
-0.03250023350119591,
0.08233662694692612,
-0.0004599322855938226,
0.02106245793402195,
-0.012061945162713528,
-0.007573344279080629,
-0.010049394331872463,
0.02088841237127781,
0.07934091240167618,
0.044519878923892975,
-0.01975724659860134,
0.04612171649932861,
-0.05395198613405228,
-0.06108727678656578,
0.07988295704126358,
-0.028943054378032684,
0.016130836680531502,
-0.008758388459682465,
-0.011084223166108131,
-0.0878821611404419,
0.0354471355676651,
-0.04074753448367119,
-0.034456659108400345,
0.023997997865080833,
0.09028196334838867,
-0.09653634577989578,
0.030912009999155998,
-0.0666644424200058,
0.06683698296546936,
-0.12102176249027252,
-0.10185201466083527,
-0.0027229313272982836,
0.019373642280697823,
-0.06069193780422211,
0.0162909347563982,
-0.003598660696297884,
-0.02770458348095417,
0.019299598410725594,
-0.043878428637981415,
-0.03449823334813118,
0.0246173944324255,
-4.672761593225416e-33,
-0.04280734434723854,
0.020376140251755714,
-0.05901578441262245,
0.060636065900325775,
0.029590899124741554,
-0.00031578753259964287,
0.055742811411619186,
0.04920903965830803,
0.03218986466526985,
0.0004848737735301256,
0.022525595501065254,
0.018318139016628265,
-0.056769777089357376,
-0.03543809428811073,
0.05092540755867958,
-0.03512626141309738,
-0.03397015109658241,
-0.007384680677205324,
0.054356031119823456,
-0.01779913157224655,
-0.018207048997282982,
0.03318394720554352,
-0.013281121850013733,
-0.04094880446791649,
-0.0700371190905571,
-0.03214379772543907,
-0.09413634240627289,
-0.0648982897400856,
0.01517469622194767,
0.01063490379601717,
-0.0004587952862493694,
-0.038497619330883026,
-0.023224763572216034,
0.028375597670674324,
0.020477406680583954,
0.011692808009684086,
0.05171150341629982,
-0.002917909761890769,
-0.03608080744743347,
0.06618667393922806,
0.05622214451432228,
0.02418500930070877,
-0.0795426145195961,
-0.04214973375201225,
0.017734069377183914,
0.0017201971495524049,
-0.0034853643737733364,
-0.008714101277291775,
0.077632375061512,
0.04960361123085022,
0.037578340619802475,
0.03875100612640381,
0.0011137555120512843,
-0.017405787482857704,
-0.04536699131131172,
0.04355471208691597,
0.02009090594947338,
-0.0725535899400711,
-0.011438609100878239,
0.06639695167541504,
0.017085542902350426,
-0.017118150368332863,
0.03827616944909096,
0.07230645418167114,
0.036003757268190384,
-0.05331103876233101,
0.009060483425855637,
0.04540693759918213,
-0.025713900104165077,
0.061417318880558014,
-0.005109365563839674,
-0.008187107741832733,
0.05657501518726349,
-0.044492725282907486,
0.020461423322558403,
-0.009039373137056828,
0.031381990760564804,
0.012222586199641228,
-0.04731984809041023,
0.050778262317180634,
-0.003972730599343777,
0.005422038491815329,
-0.020962895825505257,
0.056245118379592896,
0.01989756152033806,
-0.008682789281010628,
0.06477121263742447,
0.04281952977180481,
-0.006745729595422745,
-0.003352288855239749,
-0.013073505833745003,
-0.02193283848464489,
-0.02262912504374981,
0.03736924007534981,
-0.024297792464494705,
-4.913508888648721e-8,
-0.02266918122768402,
-0.06384312361478806,
-0.0005544955492950976,
0.07335638254880905,
0.010535144247114658,
-0.010522707365453243,
-0.02558596432209015,
0.10184518247842789,
-0.14552181959152222,
0.10725804418325424,
0.02884521894156933,
-0.00014333458966575563,
-0.02588488720357418,
-0.011771924793720245,
0.09252344816923141,
0.046873703598976135,
0.012864958494901657,
0.03868478909134865,
-0.042212389409542084,
-0.03461269289255142,
0.12771722674369812,
-0.018273357301950455,
0.01258400920778513,
0.006631261669099331,
0.06110512465238571,
0.07243115454912186,
-0.003061658702790737,
0.091550312936306,
-0.06462744623422623,
0.02276420034468174,
0.017821084707975388,
-0.052275121212005615,
-0.014619862660765648,
-0.06420403718948364,
0.05229436978697777,
-0.02401462011039257,
0.03409218043088913,
0.016685020178556442,
0.024351608008146286,
0.010774734430015087,
-0.11723906546831131,
-0.03271273523569107,
0.026702065020799637,
0.07718256860971451,
0.020023491233587265,
0.025266317650675774,
-0.16539247334003448,
-0.04303484037518501,
-0.012637383304536343,
0.03904273360967636,
0.02365836687386036,
-0.0361209362745285,
-0.04595274478197098,
-0.0727427676320076,
0.0828101858496666,
0.03391575813293457,
0.06560095399618149,
-0.01885237731039524,
-0.050975751131772995,
0.010244661010801792,
0.1867942065000534,
0.002421360230073333,
-0.05049887299537659,
0.09371868520975113
] | null | null | null | null | null | null | null | [
0.00543400552123785,
0.04806707426905632,
-0.022280152887105942,
0.06721208989620209,
0.03120260313153267,
-0.05556418374180794,
0.008914072997868061,
0.07258480042219162,
-0.03524213656783104,
0.0769009217619896,
0.028206491842865944,
0.06613126397132874,
-0.011447614058852196,
0.0010853020939975977,
-0.006899985950440168,
-0.03744253143668175,
0.07829976826906204,
-0.0197109654545784,
-0.08395494520664215,
-0.0727543756365776,
-0.03936392441391945,
0.008147159591317177,
0.04106178507208824,
0.032437052577733994,
0.007317772135138512,
-0.01604849100112915,
-0.014255739748477936,
-0.04669758677482605,
0.00490734213963151,
-0.08863218128681183,
-0.03366867080330849,
0.01445273868739605,
0.010448893532156944,
0.04865458235144615,
-0.059670884162187576,
0.005720809567719698,
0.0025615168269723654,
0.006357936654239893,
-0.06474541872739792,
0.058724720031023026,
-0.06587274372577667,
-0.032364606857299805,
0.01268818136304617,
-0.03498304262757301,
0.0535273477435112,
-0.061215199530124664,
0.02302454225718975,
-0.08703470230102539,
-0.04645281285047531,
0.09195946902036667,
-0.09637957066297531,
-0.005760840140283108,
-0.06650210171937943,
0.05474716052412987,
-0.033879805356264114,
0.057193513959646225,
0.017751412466168404,
0.010246719233691692,
-0.03001117892563343,
0.03377973288297653,
-0.10147091001272202,
-0.1095651313662529,
-0.029884817078709602,
0.02673288621008396,
0.012797421775758266,
0.06879454851150513,
-0.04668349772691727,
0.02398555353283882,
0.004359970334917307,
-0.009193198755383492,
-0.007041303440928459,
0.06946054100990295,
-0.049646228551864624,
0.06764975190162659,
0.1787303239107132,
-0.04084794595837593,
0.01842550002038479,
0.03677675500512123,
0.05264614522457123,
0.09883884340524673,
0.0040983641520142555,
-0.00337254093028605,
-0.020620498806238174,
-0.09443975985050201,
0.09127648174762726,
-0.05196961760520935,
0.025372643023729324,
0.01780216209590435,
-0.05000030994415283,
-0.005859831813722849,
0.08083189278841019,
-0.0506158210337162,
0.031289659440517426,
0.07660320401191711,
0.04532986134290695,
0.022187896072864532,
0.014413402415812016,
-0.061423409730196,
0.012922021560370922,
-0.013565688394010067,
0.01565658487379551,
0.10083097219467163,
-0.024703772738575935,
0.01762533187866211,
-0.09751585870981216,
-0.030338697135448456,
0.055301208049058914,
-0.04718952253460884,
0.03701713681221008,
-0.05710221454501152,
-0.06672938913106918,
0.03977328538894653,
-0.039364293217659,
-0.024410540238022804,
-0.025351596996188164,
-0.06350980699062347,
0.06554173678159714,
0.057913657277822495,
0.008131405338644981,
-0.05475793778896332,
0.053663354367017746,
0.04623670503497124,
0.034364089369773865,
-0.09030581265687943,
0.05366578325629234,
-0.05637580156326294,
-0.1190967932343483,
6.233718541439579e-33,
0.052141886204481125,
-0.014660090208053589,
0.0037957755848765373,
-0.015162917785346508,
0.027142489328980446,
-0.04849950224161148,
-0.018000181764364243,
0.10268158465623856,
0.04350832849740982,
0.046909961849451065,
0.08816996961832047,
0.06742148846387863,
0.04997233673930168,
0.0340246818959713,
0.10716424137353897,
0.061982396990060806,
-0.09057788550853729,
0.08026893436908722,
-0.05794442072510719,
0.006713976617902517,
0.027786241844296455,
-0.09637157618999481,
0.0438210628926754,
-0.020383883267641068,
-0.014533194713294506,
-0.005091506987810135,
0.009421566501259804,
0.04997905716300011,
-0.044564004987478256,
-0.013697103597223759,
-0.05860133841633797,
-0.06588327139616013,
-0.03178158402442932,
0.014755206182599068,
0.046336863189935684,
0.006389606278389692,
0.03416796773672104,
-0.03931618109345436,
0.0346650704741478,
-0.07277773320674896,
-0.03693711385130882,
0.042144421488046646,
-0.03148248791694641,
0.01733490079641342,
-0.027562938630580902,
0.0164675023406744,
0.07076434791088104,
-0.05475379899144173,
0.024236125871539116,
0.032651472836732864,
-0.09333784133195877,
-0.03525565564632416,
0.01953955553472042,
-0.04170088842511177,
-0.03250023350119591,
0.08233662694692612,
-0.0004599322855938226,
0.02106245793402195,
-0.012061945162713528,
-0.007573344279080629,
-0.010049394331872463,
0.02088841237127781,
0.07934091240167618,
0.044519878923892975,
-0.01975724659860134,
0.04612171649932861,
-0.05395198613405228,
-0.06108727678656578,
0.07988295704126358,
-0.028943054378032684,
0.016130836680531502,
-0.008758388459682465,
-0.011084223166108131,
-0.0878821611404419,
0.0354471355676651,
-0.04074753448367119,
-0.034456659108400345,
0.023997997865080833,
0.09028196334838867,
-0.09653634577989578,
0.030912009999155998,
-0.0666644424200058,
0.06683698296546936,
-0.12102176249027252,
-0.10185201466083527,
-0.0027229313272982836,
0.019373642280697823,
-0.06069193780422211,
0.0162909347563982,
-0.003598660696297884,
-0.02770458348095417,
0.019299598410725594,
-0.043878428637981415,
-0.03449823334813118,
0.0246173944324255,
-4.672761593225416e-33,
-0.04280734434723854,
0.020376140251755714,
-0.05901578441262245,
0.060636065900325775,
0.029590899124741554,
-0.00031578753259964287,
0.055742811411619186,
0.04920903965830803,
0.03218986466526985,
0.0004848737735301256,
0.022525595501065254,
0.018318139016628265,
-0.056769777089357376,
-0.03543809428811073,
0.05092540755867958,
-0.03512626141309738,
-0.03397015109658241,
-0.007384680677205324,
0.054356031119823456,
-0.01779913157224655,
-0.018207048997282982,
0.03318394720554352,
-0.013281121850013733,
-0.04094880446791649,
-0.0700371190905571,
-0.03214379772543907,
-0.09413634240627289,
-0.0648982897400856,
0.01517469622194767,
0.01063490379601717,
-0.0004587952862493694,
-0.038497619330883026,
-0.023224763572216034,
0.028375597670674324,
0.020477406680583954,
0.011692808009684086,
0.05171150341629982,
-0.002917909761890769,
-0.03608080744743347,
0.06618667393922806,
0.05622214451432228,
0.02418500930070877,
-0.0795426145195961,
-0.04214973375201225,
0.017734069377183914,
0.0017201971495524049,
-0.0034853643737733364,
-0.008714101277291775,
0.077632375061512,
0.04960361123085022,
0.037578340619802475,
0.03875100612640381,
0.0011137555120512843,
-0.017405787482857704,
-0.04536699131131172,
0.04355471208691597,
0.02009090594947338,
-0.0725535899400711,
-0.011438609100878239,
0.06639695167541504,
0.017085542902350426,
-0.017118150368332863,
0.03827616944909096,
0.07230645418167114,
0.036003757268190384,
-0.05331103876233101,
0.009060483425855637,
0.04540693759918213,
-0.025713900104165077,
0.061417318880558014,
-0.005109365563839674,
-0.008187107741832733,
0.05657501518726349,
-0.044492725282907486,
0.020461423322558403,
-0.009039373137056828,
0.031381990760564804,
0.012222586199641228,
-0.04731984809041023,
0.050778262317180634,
-0.003972730599343777,
0.005422038491815329,
-0.020962895825505257,
0.056245118379592896,
0.01989756152033806,
-0.008682789281010628,
0.06477121263742447,
0.04281952977180481,
-0.006745729595422745,
-0.003352288855239749,
-0.013073505833745003,
-0.02193283848464489,
-0.02262912504374981,
0.03736924007534981,
-0.024297792464494705,
-4.913508888648721e-8,
-0.02266918122768402,
-0.06384312361478806,
-0.0005544955492950976,
0.07335638254880905,
0.010535144247114658,
-0.010522707365453243,
-0.02558596432209015,
0.10184518247842789,
-0.14552181959152222,
0.10725804418325424,
0.02884521894156933,
-0.00014333458966575563,
-0.02588488720357418,
-0.011771924793720245,
0.09252344816923141,
0.046873703598976135,
0.012864958494901657,
0.03868478909134865,
-0.042212389409542084,
-0.03461269289255142,
0.12771722674369812,
-0.018273357301950455,
0.01258400920778513,
0.006631261669099331,
0.06110512465238571,
0.07243115454912186,
-0.003061658702790737,
0.091550312936306,
-0.06462744623422623,
0.02276420034468174,
0.017821084707975388,
-0.052275121212005615,
-0.014619862660765648,
-0.06420403718948364,
0.05229436978697777,
-0.02401462011039257,
0.03409218043088913,
0.016685020178556442,
0.024351608008146286,
0.010774734430015087,
-0.11723906546831131,
-0.03271273523569107,
0.026702065020799637,
0.07718256860971451,
0.020023491233587265,
0.025266317650675774,
-0.16539247334003448,
-0.04303484037518501,
-0.012637383304536343,
0.03904273360967636,
0.02365836687386036,
-0.0361209362745285,
-0.04595274478197098,
-0.0727427676320076,
0.0828101858496666,
0.03391575813293457,
0.06560095399618149,
-0.01885237731039524,
-0.050975751131772995,
0.010244661010801792,
0.1867942065000534,
0.002421360230073333,
-0.05049887299537659,
0.09371868520975113
] |
1401.1711 | Ritesh Kolte | Ritesh Kolte, Urs Niesen and Piyush Gupta | Energy-Efficient Communication over the Unsynchronized Gaussian Diamond
Network | 20 pages, 4 figures, submitted to IEEE Transactions on Information
Theory, presented at IEEE ISIT 2014 | IEEE Transactions on Information Theory, vol. 60, pp. 7719 - 7731,
December 2014 | 10.1109/TIT.2014.2364028 | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Communication networks are often designed and analyzed assuming tight
synchronization among nodes. However, in applications that require
communication in the energy-efficient regime of low signal-to-noise ratios,
establishing tight synchronization among nodes in the network can result in a
significant energy overhead. Motivated by a recent result showing that
near-optimal energy efficiency can be achieved over the AWGN channel without
requiring tight synchronization, we consider the question of whether the
potential gains of cooperative communication can be achieved in the absence of
synchronization. We focus on the symmetric Gaussian diamond network and
establish that cooperative-communication gains are indeed feasible even with
unsynchronized nodes. More precisely, we show that the capacity per unit energy
of the unsynchronized symmetric Gaussian diamond network is within a constant
factor of the capacity per unit energy of the corresponding synchronized
network. To this end, we propose a distributed relaying scheme that does not
require tight synchronization but nevertheless achieves most of the energy
gains of coherent combining.
| [
{
"created": "Wed, 8 Jan 2014 14:48:00 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jan 2014 01:58:33 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jul 2014 01:41:59 GMT",
"version": "v3"
}
] | 2016-11-18 | [
[
"Kolte",
"Ritesh",
""
],
[
"Niesen",
"Urs",
""
],
[
"Gupta",
"Piyush",
""
]
] | [
0.002316612983122468,
-0.01635095849633217,
-0.025530636310577393,
0.02429077960550785,
-0.013429242186248302,
-0.0063690864481031895,
-0.02574106678366661,
-0.09963999688625336,
-0.04666110873222351,
-0.010149131529033184,
-0.01407720148563385,
0.07006983458995819,
0.08108599483966827,
-0.11710811406373978,
0.018070992082357407,
0.016483629122376442,
0.14985612034797668,
0.007351955398917198,
-0.08838994801044464,
0.03700326383113861,
-0.03900248184800148,
-0.09042417258024216,
-0.02354583516716957,
0.010296981781721115,
0.10054647922515869,
-0.013988059014081955,
0.0242355614900589,
-0.02567519247531891,
-0.05724085867404938,
0.01455591432750225,
-0.002113389316946268,
-0.09401387721300125,
0.02721729315817356,
-0.015601124614477158,
-0.10460283607244492,
0.02395636960864067,
-0.021412549540400505,
0.015668736770749092,
0.05293798819184303,
0.10282378643751144,
-0.008183675818145275,
-0.01616126298904419,
-0.09791069477796555,
0.04195558652281761,
-0.14282123744487762,
0.023354120552539825,
-0.0291446503251791,
0.055247366428375244,
-0.0074150459840893745,
-0.08110753446817398,
0.03800959885120392,
0.019123923033475876,
-0.04506167769432068,
0.021203694865107536,
0.1210942268371582,
-0.01200899574905634,
-0.06275589019060135,
0.00960411224514246,
0.008325974456965923,
0.025197526440024376,
0.08426876366138458,
-0.026541713625192642,
0.05291493982076645,
-0.007439803332090378,
0.028150463476777077,
-0.021522285416722298,
0.06058438867330551,
0.08942973613739014,
-0.040444035083055496,
0.010627629235386848,
0.021256236359477043,
0.002110716188326478,
-0.0030239145271480083,
0.022288458421826363,
0.04284314066171646,
0.03997348994016647,
0.051923006772994995,
-0.013568385504186153,
-0.0024176337756216526,
0.02799617312848568,
-0.03530607745051384,
0.03264102712273598,
-0.05875030532479286,
-0.04861924797296524,
0.04220077395439148,
-0.04127207770943642,
-0.024108726531267166,
0.04443123936653137,
-0.02700820565223694,
-0.059452157467603683,
-0.0797828808426857,
0.04221489652991295,
0.001615717075765133,
0.01690787263214588,
0.00977094192057848,
-0.05243215337395668,
0.011501076631247997,
-0.004653851967304945,
-0.10788528621196747,
0.02163894660770893,
0.03496876731514931,
-0.020279396325349808,
0.03251579776406288,
-0.07318419218063354,
-0.026875916868448257,
0.009231179021298885,
0.004159329924732447,
0.0862281396985054,
0.03418424353003502,
0.054389387369155884,
0.00926861073821783,
-0.010340643115341663,
-0.03376888856291771,
0.0006045321351848543,
-0.17339742183685303,
0.027281519025564194,
-0.027712032198905945,
0.07224319875240326,
0.07518275082111359,
0.05835862085223198,
0.024250121787190437,
-0.06815208494663239,
-0.0012940026354044676,
-0.02128557488322258,
-0.011508999392390251,
-0.006281640846282244,
-0.05242978408932686,
3.134592337685913e-33,
-0.03376156464219093,
0.08021678030490875,
-0.0419180803000927,
-0.02305120788514614,
0.02348495088517666,
0.0747993066906929,
-0.06586658954620361,
-0.028949907049536705,
-0.030129726976156235,
0.007334189023822546,
-0.03116966225206852,
0.016156496480107307,
-0.026162423193454742,
0.004271899349987507,
0.01850268617272377,
0.012746099382638931,
-0.02287464402616024,
-0.028643708676099777,
0.08183398842811584,
-0.05608648806810379,
0.08126497268676758,
-0.06613341718912125,
-0.05004670098423958,
0.015135171823203564,
-0.06395482271909714,
-0.05678117647767067,
0.06554977595806122,
-0.09690374881029129,
0.022849442437291145,
0.02459934540092945,
0.014975888654589653,
-0.004815874621272087,
0.1062583401799202,
0.042354192584753036,
-0.01836061105132103,
0.018261699005961418,
0.02450663410127163,
-0.03971488028764725,
-0.034875959157943726,
-0.06859683990478516,
0.03475624695420265,
0.004705101251602173,
-0.020153798162937164,
-0.097099669277668,
0.011738558299839497,
-0.036489151418209076,
0.05363599583506584,
0.06537572294473648,
-0.027864467352628708,
-0.10272954404354095,
0.030386867001652718,
-0.009455850347876549,
-0.04930587857961655,
0.0688200518488884,
0.09387825429439545,
-0.0166227575391531,
0.031819023191928864,
0.029056603088974953,
0.033928558230400085,
0.05792451277375221,
-0.0004764155310112983,
-0.049820419400930405,
-0.0050383866764605045,
-0.030005458742380142,
0.014135990291833878,
0.08518459647893906,
-0.04417223110795021,
-0.023058800026774406,
0.011422897689044476,
-0.055059969425201416,
0.030020682141184807,
0.018514418974518776,
-0.04611169919371605,
-0.05266465246677399,
0.0012700337683781981,
0.0434672012925148,
0.006960940081626177,
-0.0696718692779541,
-0.04557355120778084,
0.07391361147165298,
-0.09236428141593933,
-0.07291124761104584,
-0.08915248513221741,
0.04901055619120598,
-0.050328709185123444,
-0.005694758612662554,
-0.05611315369606018,
0.10916302353143692,
-0.10355372726917267,
0.05995559319853783,
-0.022869087755680084,
-0.03432442992925644,
0.018158771097660065,
-0.02804967388510704,
-0.027002885937690735,
-4.093350142129541e-33,
-0.014213643968105316,
0.03826881945133209,
0.010261844843626022,
0.05517171323299408,
0.12428191304206848,
0.035592250525951385,
0.006405984051525593,
-0.10116629302501678,
-0.10080786794424057,
0.061215776950120926,
-0.05177251994609833,
-0.09125903993844986,
-0.012080918066203594,
-0.0015794765204191208,
0.01578538864850998,
-0.041746605187654495,
0.09935269504785538,
0.07430629432201385,
0.01183538231998682,
-0.005415749736130238,
0.05201869085431099,
0.018321115523576736,
0.06303075700998306,
0.00807034783065319,
0.10652625560760498,
0.015166385099291801,
-0.0783059224486351,
0.03735007345676422,
-0.0060056461952626705,
0.06173329800367355,
-0.03170076385140419,
0.02100568823516369,
0.010065208189189434,
-0.03785325586795807,
-0.03593437746167183,
0.0623675175011158,
0.02781662344932556,
0.09208953380584717,
-0.04084157198667526,
0.05727337300777435,
0.06950865685939789,
-0.04125277325510979,
-0.0559970885515213,
0.05391513928771019,
0.057782381772994995,
0.0010641745757311583,
-0.057582881301641464,
-0.00007663808355573565,
-0.10823501646518707,
0.06911299377679825,
0.06320294737815857,
-0.013580435886979103,
-0.01227729395031929,
0.028813833370804787,
-0.013842498883605003,
0.06316325813531876,
-0.040400732308626175,
0.14845111966133118,
0.04429611563682556,
-0.0011721978662535548,
0.023313235491514206,
-0.06052752211689949,
-0.03328884765505791,
0.04281403496861458,
-0.02845122292637825,
0.06174681335687637,
0.06115120276808739,
0.029741305857896805,
0.06036495044827461,
0.04290947690606117,
-0.05985327064990997,
0.07809416949748993,
0.015128962695598602,
0.0276624858379364,
0.024328216910362244,
0.06477828323841095,
-0.011133396998047829,
-0.03509794920682907,
-0.03015575185418129,
0.03741332143545151,
-0.0794045478105545,
0.07474113255739212,
0.012142560444772243,
-0.04149018973112106,
0.0410221628844738,
0.010734662413597107,
0.05255784094333649,
0.013942014425992966,
-0.04237356036901474,
-0.033354613929986954,
-0.01416730135679245,
0.05948612093925476,
0.03591529279947281,
-0.043192241340875626,
-0.019359448924660683,
-4.5893646216654815e-8,
-0.06271782517433167,
0.014327309094369411,
0.01342632807791233,
-0.06428032368421555,
0.05147123336791992,
-0.029125910252332687,
0.05655866116285324,
-0.020952928811311722,
0.0618167370557785,
0.012990252114832401,
0.0023829538840800524,
-0.06372830271720886,
-0.031380705535411835,
0.011892285197973251,
0.027870342135429382,
-0.04703985154628754,
-0.04884699359536171,
-0.1043415367603302,
0.02374032326042652,
-0.06017797812819481,
0.006668629124760628,
-0.022690780460834503,
-0.018292326480150223,
0.1006041169166565,
-0.040282655507326126,
-0.012592109851539135,
0.017184963449835777,
-0.0006563054630532861,
-0.000542922702152282,
-0.0008834634791128337,
-0.09117817133665085,
-0.026754891499876976,
0.04778998717665672,
-0.05814075097441673,
-0.12869936227798462,
0.0212803166359663,
-0.06257934123277664,
0.03903193026781082,
0.02314562350511551,
-0.019200019538402557,
0.03222516551613808,
0.02098178304731846,
-0.0013889434048905969,
0.013533266261219978,
-0.01644207164645195,
-0.041585393249988556,
0.003548629116266966,
-0.0004452365974429995,
-0.01567293331027031,
-0.027504194527864456,
0.033938851207494736,
0.04956553503870964,
0.0032388281542807817,
-0.05544533580541611,
-0.02125207893550396,
0.004953037481755018,
-0.014184195548295975,
-0.08488692343235016,
0.04657834395766258,
0.022617928683757782,
0.010060942731797695,
0.03151401877403259,
-0.12871313095092773,
-0.00840645469725132
] | null | null | null | null | null | null | null | [
0.002316612983122468,
-0.01635095849633217,
-0.025530636310577393,
0.02429077960550785,
-0.013429242186248302,
-0.0063690864481031895,
-0.02574106678366661,
-0.09963999688625336,
-0.04666110873222351,
-0.010149131529033184,
-0.01407720148563385,
0.07006983458995819,
0.08108599483966827,
-0.11710811406373978,
0.018070992082357407,
0.016483629122376442,
0.14985612034797668,
0.007351955398917198,
-0.08838994801044464,
0.03700326383113861,
-0.03900248184800148,
-0.09042417258024216,
-0.02354583516716957,
0.010296981781721115,
0.10054647922515869,
-0.013988059014081955,
0.0242355614900589,
-0.02567519247531891,
-0.05724085867404938,
0.01455591432750225,
-0.002113389316946268,
-0.09401387721300125,
0.02721729315817356,
-0.015601124614477158,
-0.10460283607244492,
0.02395636960864067,
-0.021412549540400505,
0.015668736770749092,
0.05293798819184303,
0.10282378643751144,
-0.008183675818145275,
-0.01616126298904419,
-0.09791069477796555,
0.04195558652281761,
-0.14282123744487762,
0.023354120552539825,
-0.0291446503251791,
0.055247366428375244,
-0.0074150459840893745,
-0.08110753446817398,
0.03800959885120392,
0.019123923033475876,
-0.04506167769432068,
0.021203694865107536,
0.1210942268371582,
-0.01200899574905634,
-0.06275589019060135,
0.00960411224514246,
0.008325974456965923,
0.025197526440024376,
0.08426876366138458,
-0.026541713625192642,
0.05291493982076645,
-0.007439803332090378,
0.028150463476777077,
-0.021522285416722298,
0.06058438867330551,
0.08942973613739014,
-0.040444035083055496,
0.010627629235386848,
0.021256236359477043,
0.002110716188326478,
-0.0030239145271480083,
0.022288458421826363,
0.04284314066171646,
0.03997348994016647,
0.051923006772994995,
-0.013568385504186153,
-0.0024176337756216526,
0.02799617312848568,
-0.03530607745051384,
0.03264102712273598,
-0.05875030532479286,
-0.04861924797296524,
0.04220077395439148,
-0.04127207770943642,
-0.024108726531267166,
0.04443123936653137,
-0.02700820565223694,
-0.059452157467603683,
-0.0797828808426857,
0.04221489652991295,
0.001615717075765133,
0.01690787263214588,
0.00977094192057848,
-0.05243215337395668,
0.011501076631247997,
-0.004653851967304945,
-0.10788528621196747,
0.02163894660770893,
0.03496876731514931,
-0.020279396325349808,
0.03251579776406288,
-0.07318419218063354,
-0.026875916868448257,
0.009231179021298885,
0.004159329924732447,
0.0862281396985054,
0.03418424353003502,
0.054389387369155884,
0.00926861073821783,
-0.010340643115341663,
-0.03376888856291771,
0.0006045321351848543,
-0.17339742183685303,
0.027281519025564194,
-0.027712032198905945,
0.07224319875240326,
0.07518275082111359,
0.05835862085223198,
0.024250121787190437,
-0.06815208494663239,
-0.0012940026354044676,
-0.02128557488322258,
-0.011508999392390251,
-0.006281640846282244,
-0.05242978408932686,
3.134592337685913e-33,
-0.03376156464219093,
0.08021678030490875,
-0.0419180803000927,
-0.02305120788514614,
0.02348495088517666,
0.0747993066906929,
-0.06586658954620361,
-0.028949907049536705,
-0.030129726976156235,
0.007334189023822546,
-0.03116966225206852,
0.016156496480107307,
-0.026162423193454742,
0.004271899349987507,
0.01850268617272377,
0.012746099382638931,
-0.02287464402616024,
-0.028643708676099777,
0.08183398842811584,
-0.05608648806810379,
0.08126497268676758,
-0.06613341718912125,
-0.05004670098423958,
0.015135171823203564,
-0.06395482271909714,
-0.05678117647767067,
0.06554977595806122,
-0.09690374881029129,
0.022849442437291145,
0.02459934540092945,
0.014975888654589653,
-0.004815874621272087,
0.1062583401799202,
0.042354192584753036,
-0.01836061105132103,
0.018261699005961418,
0.02450663410127163,
-0.03971488028764725,
-0.034875959157943726,
-0.06859683990478516,
0.03475624695420265,
0.004705101251602173,
-0.020153798162937164,
-0.097099669277668,
0.011738558299839497,
-0.036489151418209076,
0.05363599583506584,
0.06537572294473648,
-0.027864467352628708,
-0.10272954404354095,
0.030386867001652718,
-0.009455850347876549,
-0.04930587857961655,
0.0688200518488884,
0.09387825429439545,
-0.0166227575391531,
0.031819023191928864,
0.029056603088974953,
0.033928558230400085,
0.05792451277375221,
-0.0004764155310112983,
-0.049820419400930405,
-0.0050383866764605045,
-0.030005458742380142,
0.014135990291833878,
0.08518459647893906,
-0.04417223110795021,
-0.023058800026774406,
0.011422897689044476,
-0.055059969425201416,
0.030020682141184807,
0.018514418974518776,
-0.04611169919371605,
-0.05266465246677399,
0.0012700337683781981,
0.0434672012925148,
0.006960940081626177,
-0.0696718692779541,
-0.04557355120778084,
0.07391361147165298,
-0.09236428141593933,
-0.07291124761104584,
-0.08915248513221741,
0.04901055619120598,
-0.050328709185123444,
-0.005694758612662554,
-0.05611315369606018,
0.10916302353143692,
-0.10355372726917267,
0.05995559319853783,
-0.022869087755680084,
-0.03432442992925644,
0.018158771097660065,
-0.02804967388510704,
-0.027002885937690735,
-4.093350142129541e-33,
-0.014213643968105316,
0.03826881945133209,
0.010261844843626022,
0.05517171323299408,
0.12428191304206848,
0.035592250525951385,
0.006405984051525593,
-0.10116629302501678,
-0.10080786794424057,
0.061215776950120926,
-0.05177251994609833,
-0.09125903993844986,
-0.012080918066203594,
-0.0015794765204191208,
0.01578538864850998,
-0.041746605187654495,
0.09935269504785538,
0.07430629432201385,
0.01183538231998682,
-0.005415749736130238,
0.05201869085431099,
0.018321115523576736,
0.06303075700998306,
0.00807034783065319,
0.10652625560760498,
0.015166385099291801,
-0.0783059224486351,
0.03735007345676422,
-0.0060056461952626705,
0.06173329800367355,
-0.03170076385140419,
0.02100568823516369,
0.010065208189189434,
-0.03785325586795807,
-0.03593437746167183,
0.0623675175011158,
0.02781662344932556,
0.09208953380584717,
-0.04084157198667526,
0.05727337300777435,
0.06950865685939789,
-0.04125277325510979,
-0.0559970885515213,
0.05391513928771019,
0.057782381772994995,
0.0010641745757311583,
-0.057582881301641464,
-0.00007663808355573565,
-0.10823501646518707,
0.06911299377679825,
0.06320294737815857,
-0.013580435886979103,
-0.01227729395031929,
0.028813833370804787,
-0.013842498883605003,
0.06316325813531876,
-0.040400732308626175,
0.14845111966133118,
0.04429611563682556,
-0.0011721978662535548,
0.023313235491514206,
-0.06052752211689949,
-0.03328884765505791,
0.04281403496861458,
-0.02845122292637825,
0.06174681335687637,
0.06115120276808739,
0.029741305857896805,
0.06036495044827461,
0.04290947690606117,
-0.05985327064990997,
0.07809416949748993,
0.015128962695598602,
0.0276624858379364,
0.024328216910362244,
0.06477828323841095,
-0.011133396998047829,
-0.03509794920682907,
-0.03015575185418129,
0.03741332143545151,
-0.0794045478105545,
0.07474113255739212,
0.012142560444772243,
-0.04149018973112106,
0.0410221628844738,
0.010734662413597107,
0.05255784094333649,
0.013942014425992966,
-0.04237356036901474,
-0.033354613929986954,
-0.01416730135679245,
0.05948612093925476,
0.03591529279947281,
-0.043192241340875626,
-0.019359448924660683,
-4.5893646216654815e-8,
-0.06271782517433167,
0.014327309094369411,
0.01342632807791233,
-0.06428032368421555,
0.05147123336791992,
-0.029125910252332687,
0.05655866116285324,
-0.020952928811311722,
0.0618167370557785,
0.012990252114832401,
0.0023829538840800524,
-0.06372830271720886,
-0.031380705535411835,
0.011892285197973251,
0.027870342135429382,
-0.04703985154628754,
-0.04884699359536171,
-0.1043415367603302,
0.02374032326042652,
-0.06017797812819481,
0.006668629124760628,
-0.022690780460834503,
-0.018292326480150223,
0.1006041169166565,
-0.040282655507326126,
-0.012592109851539135,
0.017184963449835777,
-0.0006563054630532861,
-0.000542922702152282,
-0.0008834634791128337,
-0.09117817133665085,
-0.026754891499876976,
0.04778998717665672,
-0.05814075097441673,
-0.12869936227798462,
0.0212803166359663,
-0.06257934123277664,
0.03903193026781082,
0.02314562350511551,
-0.019200019538402557,
0.03222516551613808,
0.02098178304731846,
-0.0013889434048905969,
0.013533266261219978,
-0.01644207164645195,
-0.041585393249988556,
0.003548629116266966,
-0.0004452365974429995,
-0.01567293331027031,
-0.027504194527864456,
0.033938851207494736,
0.04956553503870964,
0.0032388281542807817,
-0.05544533580541611,
-0.02125207893550396,
0.004953037481755018,
-0.014184195548295975,
-0.08488692343235016,
0.04657834395766258,
0.022617928683757782,
0.010060942731797695,
0.03151401877403259,
-0.12871313095092773,
-0.00840645469725132
] |
1401.1714 | Cedomir Stefanovic | Cedomir Stefanovic, Miyu Momoda, Petar Popovski | Exploiting Capture Effect in Frameless ALOHA for Massive Wireless Random
Access | Accepted for presentation at IEEE WCNC'14 Track 2 (MAC and
Cross-Layer Design) | null | 10.1109/WCNC.2014.6952516 | null | cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The analogies between successive interference cancellation (SIC) in slotted
ALOHA framework and iterative belief-propagation erasure-decoding, established
recently, enabled the application of the erasure-coding theory and tools to
design random access schemes. This approach leads to throughput substantially
higher than the one offered by the traditional slotted ALOHA. In the simplest
setting, SIC progresses when a successful decoding occurs for a single user
transmission. In this paper we consider a more general setting of a channel
with capture and explore how such physical model affects the design of the
coded random access protocol. Specifically, we assess the impact of capture
effect in Rayleigh fading scenario on the design of SIC-enabled slotted ALOHA
schemes. We provide analytical treatment of frameless ALOHA, which is a special
case of SIC-enabled ALOHA scheme. We demonstrate both through analytical and
simulation results that the capture effect can be very beneficial in terms of
achieved throughput.
| [
{
"created": "Wed, 8 Jan 2014 14:52:16 GMT",
"version": "v1"
}
] | 2016-11-17 | [
[
"Stefanovic",
"Cedomir",
""
],
[
"Momoda",
"Miyu",
""
],
[
"Popovski",
"Petar",
""
]
] | [
0.062072329223155975,
-0.00021057415870018303,
-0.036401987075805664,
0.010757778771221638,
-0.053087931126356125,
-0.021399976685643196,
0.008460262790322304,
-0.12732072174549103,
0.024641886353492737,
0.0053334422409534454,
0.03317822143435478,
0.1226654052734375,
0.0420442633330822,
-0.10039013624191284,
-0.030589958652853966,
0.021396512165665627,
0.07111968100070953,
-0.06468173861503601,
-0.014942540787160397,
0.0028724847361445427,
0.06946496665477753,
-0.024501962587237358,
-0.02095552161335945,
0.014848211780190468,
0.06322630494832993,
-0.09372593462467194,
0.029346494004130363,
-0.028534311801195145,
0.02602165751159191,
-0.012484018690884113,
-0.03062591142952442,
0.04640340059995651,
0.019091250374913216,
-0.09672630578279495,
-0.07237938791513443,
-0.08000402897596359,
0.05835932120680809,
-0.016080709174275398,
-0.010912543162703514,
0.05563608929514885,
-0.04843122884631157,
0.022342802956700325,
-0.04234780743718147,
0.04496953263878822,
-0.0463174469769001,
-0.05894438549876213,
0.056479670107364655,
0.005983201786875725,
0.010085654444992542,
-0.03491057828068733,
0.09584342688322067,
0.06152259558439255,
-0.01017938181757927,
0.027295708656311035,
0.0034019844606518745,
-0.12508618831634521,
-0.028444727882742882,
0.09084805846214294,
-0.043705761432647705,
0.09590189903974533,
-0.04152081161737442,
0.017316415905952454,
-0.03450485318899155,
0.06754987686872482,
-0.013934796676039696,
-0.0023722457699477673,
-0.0023016799241304398,
0.08387772738933563,
-0.04379509389400482,
-0.017058009281754494,
-0.09693075716495514,
-0.05538623034954071,
-0.0023676869459450245,
0.043725527822971344,
0.09821468591690063,
0.05610157176852226,
-0.04728370159864426,
0.010836553759872913,
0.013386663049459457,
0.04585525020956993,
0.05483648553490639,
0.025853395462036133,
-0.0061722444370388985,
-0.019682930782437325,
0.03303562477231026,
0.05214335396885872,
-0.027135241776704788,
0.04272845759987831,
-0.02618594281375408,
-0.04104176536202431,
-0.11975507438182831,
-0.030922286212444305,
-0.03541891649365425,
0.059295859187841415,
0.019294224679470062,
0.00841362401843071,
0.02679329365491867,
-0.044771719723939896,
-0.04661889746785164,
0.02386253885924816,
0.013966891914606094,
-0.019693052396178246,
-0.048798590898513794,
-0.09785239398479462,
-0.07110270857810974,
0.07307691127061844,
0.021895790472626686,
0.06922461092472076,
0.012982792221009731,
0.013037677854299545,
0.0018279463984072208,
0.05081035941839218,
-0.05736646428704262,
0.0254344679415226,
-0.049155984073877335,
0.06088077649474144,
-0.00972101092338562,
0.0434715710580349,
-0.026952426880598068,
-0.006832212675362825,
-0.04211023822426796,
-0.052093006670475006,
0.039103731513023376,
0.036276690661907196,
-0.030534809455275536,
-0.005515633150935173,
0.0825534462928772,
-7.579945273359645e-34,
-0.04031006991863251,
0.01003130804747343,
-0.15608705580234528,
-0.03731253370642662,
0.060566049069166183,
-0.048404742032289505,
0.037703607231378555,
0.011483942158520222,
0.007400768809020519,
0.012951883487403393,
0.054109226912260056,
-0.034290581941604614,
0.03192649036645889,
-0.04073849320411682,
0.09074577689170837,
0.012419560924172401,
-0.019960012286901474,
-0.002892578486353159,
0.012491298839449883,
-0.030888639390468597,
0.0539683923125267,
-0.005072427447885275,
-0.036302708089351654,
-0.005276221316307783,
0.04322643578052521,
0.0234199408441782,
-0.014244439080357552,
-0.0949019119143486,
0.010557266883552074,
0.039259232580661774,
-0.056868020445108414,
0.009276487864553928,
0.04186464101076126,
-0.025362910702824593,
-0.0190034918487072,
-0.027136890217661858,
0.07018846273422241,
-0.08721786737442017,
-0.011990955099463463,
-0.07699306309223175,
-0.00020092533668503165,
-0.001244596904143691,
-0.025800270959734917,
-0.040440626442432404,
-0.033043503761291504,
-0.12770071625709534,
-0.014221194200217724,
0.010464017279446125,
-0.058333151042461395,
0.0742613673210144,
0.06019581854343414,
-0.006644203327596188,
-0.05304021015763283,
0.01935821957886219,
0.02761184237897396,
-0.06959478557109833,
0.015528780408203602,
0.018145617097616196,
0.03369615599513054,
0.10273996740579605,
-0.04706350713968277,
0.020572084933519363,
0.04207535460591316,
-0.02957671321928501,
-0.07966818660497665,
0.05098920688033104,
-0.03271379694342613,
-0.0897550955414772,
-0.021896686404943466,
-0.03213445842266083,
-0.022858673706650734,
-0.011306370608508587,
-0.03724067285656929,
-0.004558168817311525,
-0.08248709887266159,
-0.013267134316265583,
0.029673580080270767,
0.0025190303567796946,
0.07217361032962799,
0.025928976014256477,
-0.032393284142017365,
0.0003264042316004634,
-0.0717507153749466,
0.029853878542780876,
-0.02513321302831173,
0.06392596662044525,
0.0019155119080096483,
-0.053162168711423874,
-0.08662886917591095,
-0.03623947873711586,
-0.03185240179300308,
-0.0009128199890255928,
0.069757841527462,
-0.013690183870494366,
0.10632146149873734,
-1.9995133193548186e-33,
-0.00926932692527771,
0.07816234230995178,
0.053168561309576035,
-0.05091290548443794,
-0.02583090402185917,
-0.11713629215955734,
-0.012998794205486774,
-0.0243183933198452,
0.029548190534114838,
-0.03881954401731491,
-0.011915204115211964,
0.012847842648625374,
0.023860320448875427,
0.04713446646928787,
0.04298430308699608,
-0.03791331872344017,
0.05001179128885269,
0.010052141733467579,
0.002874791854992509,
0.00010633980855345726,
0.09964020550251007,
0.010838938876986504,
0.04696494713425636,
-0.047677867114543915,
0.07325801998376846,
0.010678727179765701,
-0.06157383322715759,
0.07277575135231018,
0.07037711888551712,
-0.043835800141096115,
0.006901553366333246,
0.00012818815594073385,
0.04849866032600403,
-0.015523257665336132,
0.008823258802294731,
0.059780221432447433,
0.07603446394205093,
0.11076027899980545,
-0.0816926583647728,
-0.02299531362950802,
0.08439209312200546,
-0.031311288475990295,
-0.031186336651444435,
0.02042245864868164,
0.05316160246729851,
0.006158971227705479,
-0.06416931748390198,
0.04843605309724808,
0.07285263389348984,
-0.041935715824365616,
0.08644871413707733,
0.023705871775746346,
0.05789308249950409,
0.0992959588766098,
-0.050043605268001556,
0.008261892944574356,
0.06651517003774643,
0.07203050702810287,
0.03591310605406761,
0.021850701421499252,
0.05215059220790863,
-0.04607512801885605,
0.07557548582553864,
-0.04930993542075157,
0.004821356385946274,
-0.07239507138729095,
0.05885715410113335,
-0.037945497781038284,
-0.08307436853647232,
0.003288035513833165,
0.023677704855799675,
-0.02279110811650753,
-0.04032859951257706,
0.057707760483026505,
0.09551071375608444,
0.024055970832705498,
-0.030587775632739067,
-0.0686974823474884,
-0.1098032221198082,
0.08397189527750015,
-0.10447409003973007,
0.09573941677808762,
-0.04906804487109184,
-0.014292444102466106,
0.1046847477555275,
0.051701318472623825,
-0.027491942048072815,
-0.04804743826389313,
-0.019898196682333946,
-0.0017857399070635438,
-0.03328297659754753,
0.05186276510357857,
0.028198905289173126,
0.0010672020725905895,
-0.01809118129312992,
-4.8066180369232825e-8,
-0.027663055807352066,
-0.007627615239471197,
-0.017502417787909508,
-0.03975623473525047,
0.016058500856161118,
-0.023504111915826797,
-0.07265657931566238,
-0.07349175959825516,
0.03489159047603607,
-0.14700183272361755,
0.06895384937524796,
-0.000265017879428342,
-0.061591312289237976,
0.007044192869216204,
0.004289355594664812,
0.03536263480782509,
-0.03827613964676857,
-0.12502795457839966,
0.017330845817923546,
0.04031497985124588,
0.010304788127541542,
-0.0648464635014534,
0.032654374837875366,
-0.022128058597445488,
-0.06699924170970917,
-0.006913934368640184,
0.015164954587817192,
0.037292417138814926,
0.04671194776892662,
-0.006425451021641493,
-0.04656894505023956,
0.03516281768679619,
0.10137369483709335,
0.029718521982431412,
-0.06858710199594498,
-0.01867123879492283,
0.04378313198685646,
0.009070354513823986,
-0.058413006365299225,
-0.0016777141718193889,
0.061548441648483276,
-0.09366867691278458,
0.021531570702791214,
-0.02011103928089142,
0.02520398236811161,
0.06395825743675232,
0.08463144302368164,
0.02810526080429554,
0.016047945246100426,
0.03990843892097473,
0.03546373173594475,
-0.030170666053891182,
-0.05123860761523247,
-0.005445925053209066,
0.01974872313439846,
-0.05658679082989693,
0.013213081285357475,
-0.047827281057834625,
0.06807678937911987,
-0.006163713056594133,
0.021924179047346115,
0.029879136011004448,
-0.07687462866306305,
0.0382823571562767
] | null | null | null | null | null | null | null | [
0.062072329223155975,
-0.00021057415870018303,
-0.036401987075805664,
0.010757778771221638,
-0.053087931126356125,
-0.021399976685643196,
0.008460262790322304,
-0.12732072174549103,
0.024641886353492737,
0.0053334422409534454,
0.03317822143435478,
0.1226654052734375,
0.0420442633330822,
-0.10039013624191284,
-0.030589958652853966,
0.021396512165665627,
0.07111968100070953,
-0.06468173861503601,
-0.014942540787160397,
0.0028724847361445427,
0.06946496665477753,
-0.024501962587237358,
-0.02095552161335945,
0.014848211780190468,
0.06322630494832993,
-0.09372593462467194,
0.029346494004130363,
-0.028534311801195145,
0.02602165751159191,
-0.012484018690884113,
-0.03062591142952442,
0.04640340059995651,
0.019091250374913216,
-0.09672630578279495,
-0.07237938791513443,
-0.08000402897596359,
0.05835932120680809,
-0.016080709174275398,
-0.010912543162703514,
0.05563608929514885,
-0.04843122884631157,
0.022342802956700325,
-0.04234780743718147,
0.04496953263878822,
-0.0463174469769001,
-0.05894438549876213,
0.056479670107364655,
0.005983201786875725,
0.010085654444992542,
-0.03491057828068733,
0.09584342688322067,
0.06152259558439255,
-0.01017938181757927,
0.027295708656311035,
0.0034019844606518745,
-0.12508618831634521,
-0.028444727882742882,
0.09084805846214294,
-0.043705761432647705,
0.09590189903974533,
-0.04152081161737442,
0.017316415905952454,
-0.03450485318899155,
0.06754987686872482,
-0.013934796676039696,
-0.0023722457699477673,
-0.0023016799241304398,
0.08387772738933563,
-0.04379509389400482,
-0.017058009281754494,
-0.09693075716495514,
-0.05538623034954071,
-0.0023676869459450245,
0.043725527822971344,
0.09821468591690063,
0.05610157176852226,
-0.04728370159864426,
0.010836553759872913,
0.013386663049459457,
0.04585525020956993,
0.05483648553490639,
0.025853395462036133,
-0.0061722444370388985,
-0.019682930782437325,
0.03303562477231026,
0.05214335396885872,
-0.027135241776704788,
0.04272845759987831,
-0.02618594281375408,
-0.04104176536202431,
-0.11975507438182831,
-0.030922286212444305,
-0.03541891649365425,
0.059295859187841415,
0.019294224679470062,
0.00841362401843071,
0.02679329365491867,
-0.044771719723939896,
-0.04661889746785164,
0.02386253885924816,
0.013966891914606094,
-0.019693052396178246,
-0.048798590898513794,
-0.09785239398479462,
-0.07110270857810974,
0.07307691127061844,
0.021895790472626686,
0.06922461092472076,
0.012982792221009731,
0.013037677854299545,
0.0018279463984072208,
0.05081035941839218,
-0.05736646428704262,
0.0254344679415226,
-0.049155984073877335,
0.06088077649474144,
-0.00972101092338562,
0.0434715710580349,
-0.026952426880598068,
-0.006832212675362825,
-0.04211023822426796,
-0.052093006670475006,
0.039103731513023376,
0.036276690661907196,
-0.030534809455275536,
-0.005515633150935173,
0.0825534462928772,
-7.579945273359645e-34,
-0.04031006991863251,
0.01003130804747343,
-0.15608705580234528,
-0.03731253370642662,
0.060566049069166183,
-0.048404742032289505,
0.037703607231378555,
0.011483942158520222,
0.007400768809020519,
0.012951883487403393,
0.054109226912260056,
-0.034290581941604614,
0.03192649036645889,
-0.04073849320411682,
0.09074577689170837,
0.012419560924172401,
-0.019960012286901474,
-0.002892578486353159,
0.012491298839449883,
-0.030888639390468597,
0.0539683923125267,
-0.005072427447885275,
-0.036302708089351654,
-0.005276221316307783,
0.04322643578052521,
0.0234199408441782,
-0.014244439080357552,
-0.0949019119143486,
0.010557266883552074,
0.039259232580661774,
-0.056868020445108414,
0.009276487864553928,
0.04186464101076126,
-0.025362910702824593,
-0.0190034918487072,
-0.027136890217661858,
0.07018846273422241,
-0.08721786737442017,
-0.011990955099463463,
-0.07699306309223175,
-0.00020092533668503165,
-0.001244596904143691,
-0.025800270959734917,
-0.040440626442432404,
-0.033043503761291504,
-0.12770071625709534,
-0.014221194200217724,
0.010464017279446125,
-0.058333151042461395,
0.0742613673210144,
0.06019581854343414,
-0.006644203327596188,
-0.05304021015763283,
0.01935821957886219,
0.02761184237897396,
-0.06959478557109833,
0.015528780408203602,
0.018145617097616196,
0.03369615599513054,
0.10273996740579605,
-0.04706350713968277,
0.020572084933519363,
0.04207535460591316,
-0.02957671321928501,
-0.07966818660497665,
0.05098920688033104,
-0.03271379694342613,
-0.0897550955414772,
-0.021896686404943466,
-0.03213445842266083,
-0.022858673706650734,
-0.011306370608508587,
-0.03724067285656929,
-0.004558168817311525,
-0.08248709887266159,
-0.013267134316265583,
0.029673580080270767,
0.0025190303567796946,
0.07217361032962799,
0.025928976014256477,
-0.032393284142017365,
0.0003264042316004634,
-0.0717507153749466,
0.029853878542780876,
-0.02513321302831173,
0.06392596662044525,
0.0019155119080096483,
-0.053162168711423874,
-0.08662886917591095,
-0.03623947873711586,
-0.03185240179300308,
-0.0009128199890255928,
0.069757841527462,
-0.013690183870494366,
0.10632146149873734,
-1.9995133193548186e-33,
-0.00926932692527771,
0.07816234230995178,
0.053168561309576035,
-0.05091290548443794,
-0.02583090402185917,
-0.11713629215955734,
-0.012998794205486774,
-0.0243183933198452,
0.029548190534114838,
-0.03881954401731491,
-0.011915204115211964,
0.012847842648625374,
0.023860320448875427,
0.04713446646928787,
0.04298430308699608,
-0.03791331872344017,
0.05001179128885269,
0.010052141733467579,
0.002874791854992509,
0.00010633980855345726,
0.09964020550251007,
0.010838938876986504,
0.04696494713425636,
-0.047677867114543915,
0.07325801998376846,
0.010678727179765701,
-0.06157383322715759,
0.07277575135231018,
0.07037711888551712,
-0.043835800141096115,
0.006901553366333246,
0.00012818815594073385,
0.04849866032600403,
-0.015523257665336132,
0.008823258802294731,
0.059780221432447433,
0.07603446394205093,
0.11076027899980545,
-0.0816926583647728,
-0.02299531362950802,
0.08439209312200546,
-0.031311288475990295,
-0.031186336651444435,
0.02042245864868164,
0.05316160246729851,
0.006158971227705479,
-0.06416931748390198,
0.04843605309724808,
0.07285263389348984,
-0.041935715824365616,
0.08644871413707733,
0.023705871775746346,
0.05789308249950409,
0.0992959588766098,
-0.050043605268001556,
0.008261892944574356,
0.06651517003774643,
0.07203050702810287,
0.03591310605406761,
0.021850701421499252,
0.05215059220790863,
-0.04607512801885605,
0.07557548582553864,
-0.04930993542075157,
0.004821356385946274,
-0.07239507138729095,
0.05885715410113335,
-0.037945497781038284,
-0.08307436853647232,
0.003288035513833165,
0.023677704855799675,
-0.02279110811650753,
-0.04032859951257706,
0.057707760483026505,
0.09551071375608444,
0.024055970832705498,
-0.030587775632739067,
-0.0686974823474884,
-0.1098032221198082,
0.08397189527750015,
-0.10447409003973007,
0.09573941677808762,
-0.04906804487109184,
-0.014292444102466106,
0.1046847477555275,
0.051701318472623825,
-0.027491942048072815,
-0.04804743826389313,
-0.019898196682333946,
-0.0017857399070635438,
-0.03328297659754753,
0.05186276510357857,
0.028198905289173126,
0.0010672020725905895,
-0.01809118129312992,
-4.8066180369232825e-8,
-0.027663055807352066,
-0.007627615239471197,
-0.017502417787909508,
-0.03975623473525047,
0.016058500856161118,
-0.023504111915826797,
-0.07265657931566238,
-0.07349175959825516,
0.03489159047603607,
-0.14700183272361755,
0.06895384937524796,
-0.000265017879428342,
-0.061591312289237976,
0.007044192869216204,
0.004289355594664812,
0.03536263480782509,
-0.03827613964676857,
-0.12502795457839966,
0.017330845817923546,
0.04031497985124588,
0.010304788127541542,
-0.0648464635014534,
0.032654374837875366,
-0.022128058597445488,
-0.06699924170970917,
-0.006913934368640184,
0.015164954587817192,
0.037292417138814926,
0.04671194776892662,
-0.006425451021641493,
-0.04656894505023956,
0.03516281768679619,
0.10137369483709335,
0.029718521982431412,
-0.06858710199594498,
-0.01867123879492283,
0.04378313198685646,
0.009070354513823986,
-0.058413006365299225,
-0.0016777141718193889,
0.061548441648483276,
-0.09366867691278458,
0.021531570702791214,
-0.02011103928089142,
0.02520398236811161,
0.06395825743675232,
0.08463144302368164,
0.02810526080429554,
0.016047945246100426,
0.03990843892097473,
0.03546373173594475,
-0.030170666053891182,
-0.05123860761523247,
-0.005445925053209066,
0.01974872313439846,
-0.05658679082989693,
0.013213081285357475,
-0.047827281057834625,
0.06807678937911987,
-0.006163713056594133,
0.021924179047346115,
0.029879136011004448,
-0.07687462866306305,
0.0382823571562767
] |
1401.1720 | Panayiotis Frangos V | Ch. Christakis, K. Ioannidi, S.Sautbekov, P. Frangos and S.K. Atanov | The radiation problem from a vertical short dipole antenna above flat
and lossy ground. Novel formulation in the spectral domain with closed form
analytical solution in the high frequency regime | null | null | null | null | physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider the problem of radiation from a vertical short
Hertzian dipole above flat lossy ground, which represents the well known in the
literature Sommerfeld radiation problem. The problem is formulated in a novel
spectral domain approach, and by inverse three dimensional Fourier
transformation the expressions for the received electric and magnetic field in
the physical space are derived as one dimensional integrals over the radial
component of wavevector, in cylindrical coordinates. Subsequent use of the
Stationary Phase Method in the high frequency regime yields closed form
analytical solutions for the received EM field vectors, which coincide with the
corresponding reflected EM field originating from the image point. In this way,
we conclude that the so called in the literature space wave, i.e. line of sight
plus reflected EM field, represents the total solution of the Sommerfeld
problem in the high frequency regime, in which case the surface wave can be
ignored. Finally, numerical results in the high frequency regime are presented
in this paper, in comparison with corresponding numerical results based on
Norton solution of the problem, i.e. space and surface waves.
| [
{
"created": "Wed, 8 Jan 2014 15:10:14 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Christakis",
"Ch.",
""
],
[
"Ioannidi",
"K.",
""
],
[
"Sautbekov",
"S.",
""
],
[
"Frangos",
"P.",
""
],
[
"Atanov",
"S. K.",
""
]
] | [
-0.0014497570227831602,
0.049427349120378494,
0.0724828690290451,
-0.0837930291891098,
0.019587786868214607,
-0.0015906748594716191,
0.0006429544882848859,
0.047654829919338226,
-0.0637793019413948,
-0.012806329876184464,
0.00871527660638094,
0.008237471804022789,
0.06173211336135864,
-0.06486772745847702,
0.07301944494247437,
-0.0028778742998838425,
-0.07097385078668594,
0.008690966293215752,
0.0022070740815252066,
0.023601535707712173,
-0.02408253215253353,
0.039981164038181305,
-0.04867447912693024,
-0.022404294461011887,
0.09190396219491959,
-0.04644215852022171,
0.1317194700241089,
-0.054945528507232666,
-0.04512808471918106,
0.007712795864790678,
0.09847214818000793,
0.09132804721593857,
-0.02165917120873928,
-0.005328592844307423,
-0.0632418617606163,
0.03616807982325554,
0.0660594180226326,
0.008908772841095924,
-0.007939055562019348,
0.023212051019072533,
-0.05735078454017639,
-0.009173614904284477,
-0.035073600709438324,
0.009427002631127834,
0.014401267282664776,
-0.006310824304819107,
0.0851774513721466,
-0.005768513306975365,
0.0626392662525177,
-0.017124492675065994,
0.036801282316446304,
0.03168544918298721,
-0.05110570415854454,
0.040112365037202835,
-0.0021690235007554293,
-0.0025412668474018574,
0.04254201054573059,
-0.012321528978645802,
-0.0013483958318829536,
0.022363513708114624,
0.04912164807319641,
-0.04115460440516472,
-0.03512737154960632,
-0.04628121480345726,
0.041857097297906876,
-0.06677276641130447,
-0.07069693505764008,
-0.05265454202890396,
-0.014881478622555733,
0.026307273656129837,
-0.10513532161712646,
-0.021391551941633224,
-0.0025245307479053736,
-0.10943084210157394,
0.004515307489782572,
0.08699847757816315,
0.029439102858304977,
0.08630022406578064,
0.03328876942396164,
-0.003964471165090799,
0.01801803521811962,
-0.02420107275247574,
-0.11260388046503067,
0.028951719403266907,
-0.02052227035164833,
0.05428530275821686,
-0.09898893535137177,
-0.009590261615812778,
0.036096952855587006,
-0.013969169929623604,
0.00956440344452858,
-0.08856576681137085,
-0.05930708348751068,
-0.01380425039678812,
-0.0051603554747998714,
-0.04183655232191086,
0.11538992077112198,
-0.031224122270941734,
0.002834760583937168,
0.04986675828695297,
0.052345938980579376,
-0.07973049581050873,
-0.04068956524133682,
0.10396252572536469,
-0.06924942135810852,
-0.03367714583873749,
0.03936750814318657,
0.0472710020840168,
-0.042517393827438354,
-0.09210275858640671,
0.02362227253615856,
-0.02723872847855091,
-0.10595542192459106,
-0.04322164133191109,
-0.000684536003973335,
-0.027738096192479134,
0.09669685363769531,
0.012800260446965694,
-0.020377647131681442,
-0.06272520124912262,
-0.02945898473262787,
0.05783125013113022,
0.06778457760810852,
0.05259288102388382,
0.04032318294048309,
-0.01222116220742464,
0.09078188985586166,
2.3057742297951573e-33,
-0.04586431756615639,
0.14826345443725586,
-0.02354605309665203,
-0.005528276786208153,
0.006214781664311886,
0.025072073563933372,
0.04658771678805351,
0.14495210349559784,
0.08844684064388275,
-0.0035058942157775164,
-0.049776919186115265,
0.049550991505384445,
0.029150789603590965,
-0.013061333447694778,
0.02430441975593567,
-0.01433630008250475,
0.03213105723261833,
0.01619938388466835,
-0.0505758635699749,
0.029811367392539978,
0.06576219201087952,
0.001674707280471921,
0.00455317972227931,
0.02648109383881092,
-0.04836082458496094,
-0.03535349667072296,
-0.018213612958788872,
-0.01177008356899023,
-0.08340080827474594,
0.03093327023088932,
-0.04651280492544174,
-0.021682238206267357,
0.05850677192211151,
-0.016087546944618225,
-0.001246485859155655,
-0.009193566627800465,
0.08231326937675476,
0.04701816663146019,
0.009264492429792881,
0.034555286169052124,
-0.04158110171556473,
0.03232153132557869,
0.08780460059642792,
-0.012543989345431328,
0.020234210416674614,
-0.055362872779369354,
0.009081367403268814,
-0.02266063541173935,
0.0583764985203743,
0.009761957451701164,
-0.05079519748687744,
-0.05490585416555405,
-0.029092442244291306,
0.02936934307217598,
0.09065879136323929,
0.06961844116449356,
-0.07359613478183746,
0.004971566144376993,
-0.02170632593333721,
-0.0536416694521904,
0.0016011433908715844,
0.053315434604883194,
0.08588986843824387,
0.010434646159410477,
0.03399209678173065,
-0.08324583619832993,
0.04277021437883377,
-0.019647490233182907,
-0.02196967415511608,
0.02303486317396164,
0.04520181193947792,
0.10573065280914307,
-0.002480636117979884,
0.002918530721217394,
0.02969902567565441,
-0.01015622541308403,
-0.04268406331539154,
0.07462356984615326,
0.024278445169329643,
0.005247208755463362,
-0.04349871352314949,
0.019011937081813812,
-0.048829857259988785,
-0.047898415476083755,
0.010913189500570297,
0.053332749754190445,
0.05078083276748657,
-0.053068339824676514,
-0.040903396904468536,
-0.08400879055261612,
-0.12196680903434753,
0.06309777498245239,
-0.012666507624089718,
-0.05732942745089531,
0.03484103083610535,
-2.5683111584887225e-33,
0.01800110563635826,
-0.007916697300970554,
-0.02977376990020275,
-0.0689820945262909,
-0.03850976377725601,
0.005165940150618553,
0.05680381506681442,
0.12868037819862366,
-0.07210920006036758,
0.006689360830932856,
-0.06979791074991226,
0.013981194235384464,
-0.037255387753248215,
0.031152553856372833,
-0.07974434643983841,
0.008923297747969627,
0.012545245699584484,
-0.03977029398083687,
-0.04790885001420975,
-0.011909293942153454,
-0.013761517591774464,
0.006914571858942509,
0.06595505774021149,
0.023780303075909615,
-0.06084880605340004,
-0.0030247815884649754,
0.08893463760614395,
-0.010936008766293526,
-0.06722370535135269,
0.019084174185991287,
0.0034240505192428827,
0.035838302224874496,
0.027298273518681526,
0.03468839079141617,
0.05380680412054062,
0.06447973102331161,
0.045353006571531296,
-0.01366758905351162,
0.00685659795999527,
-0.060363996773958206,
-0.0020118423271924257,
0.0003257034404668957,
0.06971638649702072,
-0.08644045889377594,
-0.03643277287483215,
0.008039691485464573,
-0.041422441601753235,
0.0627719834446907,
0.04231290891766548,
0.015634775161743164,
-0.03995238617062569,
-0.10244865715503693,
0.012009495869278908,
0.07221108675003052,
0.0008423118852078915,
-0.0016752127557992935,
0.024983000010252,
-0.026342354714870453,
0.05882204696536064,
0.06685910373926163,
-0.010801966302096844,
-0.04364359751343727,
-0.057095274329185486,
0.02183539606630802,
0.03997199237346649,
0.030232256278395653,
-0.06271962076425552,
0.017789240926504135,
-0.0023196646943688393,
0.02564956434071064,
0.0477256216108799,
-0.030367746949195862,
0.002051958115771413,
0.0028369766660034657,
0.0011657061986625195,
0.08185993134975433,
0.1013970673084259,
0.019941868260502815,
-0.06006024405360222,
0.0068175531923770905,
0.0673171877861023,
-0.023903658613562584,
-0.05249893292784691,
0.02371826581656933,
-0.02936992049217224,
-0.026709124445915222,
-0.05885172262787819,
-0.01590557023882866,
-0.050904449075460434,
-0.09451013058423996,
0.027221916243433952,
0.04185057431459427,
-0.03557228669524193,
-0.013348511420190334,
0.14847420156002045,
-5.395117952389228e-8,
-0.03416840359568596,
-0.021261053159832954,
0.002377783413976431,
-0.05971633642911911,
-0.007436308544129133,
-0.002089084591716528,
-0.0441121868789196,
-0.08638612926006317,
0.03103344701230526,
-0.13142573833465576,
-0.09906227886676788,
-0.054746706038713455,
-0.04367136210203171,
-0.005939847324043512,
-0.07297191023826599,
-0.027331393212080002,
-0.010952477343380451,
-0.07385604083538055,
0.03771635517477989,
0.01654970832169056,
0.016886064782738686,
-0.008145147934556007,
0.032131634652614594,
-0.04108498618006706,
0.027108769863843918,
0.03996146097779274,
0.003486728761345148,
-0.05154222995042801,
0.09712135046720505,
0.021462345495820045,
-0.01394237857311964,
-0.008116278797388077,
0.006249527912586927,
0.0872318297624588,
-0.03711308538913727,
-0.08362174034118652,
0.007493330165743828,
0.026403386145830154,
-0.062157515436410904,
0.0924225002527237,
-0.04032205790281296,
0.09617967158555984,
0.00509149394929409,
-0.04521668702363968,
0.05531478673219681,
0.10676717758178711,
0.029920844361186028,
0.055426470935344696,
0.01301447581499815,
-0.017340756952762604,
-0.1052980124950409,
0.02708417922258377,
0.04739166796207428,
0.03563651069998741,
-0.022962452843785286,
0.015835121273994446,
-0.02290254272520542,
-0.04926279932260513,
-0.0330955870449543,
-0.06564784795045853,
-0.020929735153913498,
0.0988384410738945,
-0.10048193484544754,
0.03889402374625206
] | null | null | null | null | null | null | null | [
-0.0014497570227831602,
0.049427349120378494,
0.0724828690290451,
-0.0837930291891098,
0.019587786868214607,
-0.0015906748594716191,
0.0006429544882848859,
0.047654829919338226,
-0.0637793019413948,
-0.012806329876184464,
0.00871527660638094,
0.008237471804022789,
0.06173211336135864,
-0.06486772745847702,
0.07301944494247437,
-0.0028778742998838425,
-0.07097385078668594,
0.008690966293215752,
0.0022070740815252066,
0.023601535707712173,
-0.02408253215253353,
0.039981164038181305,
-0.04867447912693024,
-0.022404294461011887,
0.09190396219491959,
-0.04644215852022171,
0.1317194700241089,
-0.054945528507232666,
-0.04512808471918106,
0.007712795864790678,
0.09847214818000793,
0.09132804721593857,
-0.02165917120873928,
-0.005328592844307423,
-0.0632418617606163,
0.03616807982325554,
0.0660594180226326,
0.008908772841095924,
-0.007939055562019348,
0.023212051019072533,
-0.05735078454017639,
-0.009173614904284477,
-0.035073600709438324,
0.009427002631127834,
0.014401267282664776,
-0.006310824304819107,
0.0851774513721466,
-0.005768513306975365,
0.0626392662525177,
-0.017124492675065994,
0.036801282316446304,
0.03168544918298721,
-0.05110570415854454,
0.040112365037202835,
-0.0021690235007554293,
-0.0025412668474018574,
0.04254201054573059,
-0.012321528978645802,
-0.0013483958318829536,
0.022363513708114624,
0.04912164807319641,
-0.04115460440516472,
-0.03512737154960632,
-0.04628121480345726,
0.041857097297906876,
-0.06677276641130447,
-0.07069693505764008,
-0.05265454202890396,
-0.014881478622555733,
0.026307273656129837,
-0.10513532161712646,
-0.021391551941633224,
-0.0025245307479053736,
-0.10943084210157394,
0.004515307489782572,
0.08699847757816315,
0.029439102858304977,
0.08630022406578064,
0.03328876942396164,
-0.003964471165090799,
0.01801803521811962,
-0.02420107275247574,
-0.11260388046503067,
0.028951719403266907,
-0.02052227035164833,
0.05428530275821686,
-0.09898893535137177,
-0.009590261615812778,
0.036096952855587006,
-0.013969169929623604,
0.00956440344452858,
-0.08856576681137085,
-0.05930708348751068,
-0.01380425039678812,
-0.0051603554747998714,
-0.04183655232191086,
0.11538992077112198,
-0.031224122270941734,
0.002834760583937168,
0.04986675828695297,
0.052345938980579376,
-0.07973049581050873,
-0.04068956524133682,
0.10396252572536469,
-0.06924942135810852,
-0.03367714583873749,
0.03936750814318657,
0.0472710020840168,
-0.042517393827438354,
-0.09210275858640671,
0.02362227253615856,
-0.02723872847855091,
-0.10595542192459106,
-0.04322164133191109,
-0.000684536003973335,
-0.027738096192479134,
0.09669685363769531,
0.012800260446965694,
-0.020377647131681442,
-0.06272520124912262,
-0.02945898473262787,
0.05783125013113022,
0.06778457760810852,
0.05259288102388382,
0.04032318294048309,
-0.01222116220742464,
0.09078188985586166,
2.3057742297951573e-33,
-0.04586431756615639,
0.14826345443725586,
-0.02354605309665203,
-0.005528276786208153,
0.006214781664311886,
0.025072073563933372,
0.04658771678805351,
0.14495210349559784,
0.08844684064388275,
-0.0035058942157775164,
-0.049776919186115265,
0.049550991505384445,
0.029150789603590965,
-0.013061333447694778,
0.02430441975593567,
-0.01433630008250475,
0.03213105723261833,
0.01619938388466835,
-0.0505758635699749,
0.029811367392539978,
0.06576219201087952,
0.001674707280471921,
0.00455317972227931,
0.02648109383881092,
-0.04836082458496094,
-0.03535349667072296,
-0.018213612958788872,
-0.01177008356899023,
-0.08340080827474594,
0.03093327023088932,
-0.04651280492544174,
-0.021682238206267357,
0.05850677192211151,
-0.016087546944618225,
-0.001246485859155655,
-0.009193566627800465,
0.08231326937675476,
0.04701816663146019,
0.009264492429792881,
0.034555286169052124,
-0.04158110171556473,
0.03232153132557869,
0.08780460059642792,
-0.012543989345431328,
0.020234210416674614,
-0.055362872779369354,
0.009081367403268814,
-0.02266063541173935,
0.0583764985203743,
0.009761957451701164,
-0.05079519748687744,
-0.05490585416555405,
-0.029092442244291306,
0.02936934307217598,
0.09065879136323929,
0.06961844116449356,
-0.07359613478183746,
0.004971566144376993,
-0.02170632593333721,
-0.0536416694521904,
0.0016011433908715844,
0.053315434604883194,
0.08588986843824387,
0.010434646159410477,
0.03399209678173065,
-0.08324583619832993,
0.04277021437883377,
-0.019647490233182907,
-0.02196967415511608,
0.02303486317396164,
0.04520181193947792,
0.10573065280914307,
-0.002480636117979884,
0.002918530721217394,
0.02969902567565441,
-0.01015622541308403,
-0.04268406331539154,
0.07462356984615326,
0.024278445169329643,
0.005247208755463362,
-0.04349871352314949,
0.019011937081813812,
-0.048829857259988785,
-0.047898415476083755,
0.010913189500570297,
0.053332749754190445,
0.05078083276748657,
-0.053068339824676514,
-0.040903396904468536,
-0.08400879055261612,
-0.12196680903434753,
0.06309777498245239,
-0.012666507624089718,
-0.05732942745089531,
0.03484103083610535,
-2.5683111584887225e-33,
0.01800110563635826,
-0.007916697300970554,
-0.02977376990020275,
-0.0689820945262909,
-0.03850976377725601,
0.005165940150618553,
0.05680381506681442,
0.12868037819862366,
-0.07210920006036758,
0.006689360830932856,
-0.06979791074991226,
0.013981194235384464,
-0.037255387753248215,
0.031152553856372833,
-0.07974434643983841,
0.008923297747969627,
0.012545245699584484,
-0.03977029398083687,
-0.04790885001420975,
-0.011909293942153454,
-0.013761517591774464,
0.006914571858942509,
0.06595505774021149,
0.023780303075909615,
-0.06084880605340004,
-0.0030247815884649754,
0.08893463760614395,
-0.010936008766293526,
-0.06722370535135269,
0.019084174185991287,
0.0034240505192428827,
0.035838302224874496,
0.027298273518681526,
0.03468839079141617,
0.05380680412054062,
0.06447973102331161,
0.045353006571531296,
-0.01366758905351162,
0.00685659795999527,
-0.060363996773958206,
-0.0020118423271924257,
0.0003257034404668957,
0.06971638649702072,
-0.08644045889377594,
-0.03643277287483215,
0.008039691485464573,
-0.041422441601753235,
0.0627719834446907,
0.04231290891766548,
0.015634775161743164,
-0.03995238617062569,
-0.10244865715503693,
0.012009495869278908,
0.07221108675003052,
0.0008423118852078915,
-0.0016752127557992935,
0.024983000010252,
-0.026342354714870453,
0.05882204696536064,
0.06685910373926163,
-0.010801966302096844,
-0.04364359751343727,
-0.057095274329185486,
0.02183539606630802,
0.03997199237346649,
0.030232256278395653,
-0.06271962076425552,
0.017789240926504135,
-0.0023196646943688393,
0.02564956434071064,
0.0477256216108799,
-0.030367746949195862,
0.002051958115771413,
0.0028369766660034657,
0.0011657061986625195,
0.08185993134975433,
0.1013970673084259,
0.019941868260502815,
-0.06006024405360222,
0.0068175531923770905,
0.0673171877861023,
-0.023903658613562584,
-0.05249893292784691,
0.02371826581656933,
-0.02936992049217224,
-0.026709124445915222,
-0.05885172262787819,
-0.01590557023882866,
-0.050904449075460434,
-0.09451013058423996,
0.027221916243433952,
0.04185057431459427,
-0.03557228669524193,
-0.013348511420190334,
0.14847420156002045,
-5.395117952389228e-8,
-0.03416840359568596,
-0.021261053159832954,
0.002377783413976431,
-0.05971633642911911,
-0.007436308544129133,
-0.002089084591716528,
-0.0441121868789196,
-0.08638612926006317,
0.03103344701230526,
-0.13142573833465576,
-0.09906227886676788,
-0.054746706038713455,
-0.04367136210203171,
-0.005939847324043512,
-0.07297191023826599,
-0.027331393212080002,
-0.010952477343380451,
-0.07385604083538055,
0.03771635517477989,
0.01654970832169056,
0.016886064782738686,
-0.008145147934556007,
0.032131634652614594,
-0.04108498618006706,
0.027108769863843918,
0.03996146097779274,
0.003486728761345148,
-0.05154222995042801,
0.09712135046720505,
0.021462345495820045,
-0.01394237857311964,
-0.008116278797388077,
0.006249527912586927,
0.0872318297624588,
-0.03711308538913727,
-0.08362174034118652,
0.007493330165743828,
0.026403386145830154,
-0.062157515436410904,
0.0924225002527237,
-0.04032205790281296,
0.09617967158555984,
0.00509149394929409,
-0.04521668702363968,
0.05531478673219681,
0.10676717758178711,
0.029920844361186028,
0.055426470935344696,
0.01301447581499815,
-0.017340756952762604,
-0.1052980124950409,
0.02708417922258377,
0.04739166796207428,
0.03563651069998741,
-0.022962452843785286,
0.015835121273994446,
-0.02290254272520542,
-0.04926279932260513,
-0.0330955870449543,
-0.06564784795045853,
-0.020929735153913498,
0.0988384410738945,
-0.10048193484544754,
0.03889402374625206
] |
1401.1723 | Helga Gudmundsdottir | Helga Gudmundsdottir, Eyj\'olfur I \'Asgeirsson, Marijke H. L.
Bodlaender, Joseph T. Foley, Magn\'us M. Halld\'orsson, Ymir Vigfusson | Wireless Scheduling Algorithms in Complex Environments | null | null | null | null | cs.NI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Efficient spectrum use in wireless sensor networks through spatial reuse
requires effective models of packet reception at the physical layer in the
presence of interference. Despite recent progress in analytic and simulations
research into worst-case behavior from interference effects, these efforts
generally assume geometric path loss and isotropic transmission, assumptions
which have not been borne out in experiments.
Our paper aims to provide a methodology for grounding theoretical results
into wireless interference in experimental reality. We develop a new framework
for wireless algorithms in which distance-based path loss is replaced by an
arbitrary gain matrix, typically obtained by measurements of received signal
strength (RSS). Gain matrices allow for the modeling of complex environments,
e.g., with obstacles and walls. We experimentally evaluate the framework in two
indoors testbeds with 20 and 60 motes, and confirm superior predictive
performance in packet reception rate for a gain matrix model over a geometric
distance-based model.
At the heart of our approach is a new parameter $\zeta$ called metricity
which indicates how close the gain matrix is to a distance metric, effectively
measuring the complexity of the environment. A powerful theoretical feature of
this parameter is that all known SINR scheduling algorithms that work in
general metric spaces carry over to arbitrary gain matrices and achieve
equivalent performance guarantees in terms of $\zeta$ as previously obtained in
terms of the path loss constant. Our experiments confirm the sensitivity of
$\zeta$ to the nature of the environment. Finally, we show analytically and
empirically how multiple channels can be leveraged to improve metricity and
thereby performance. We believe our contributions will facilitate experimental
validation for recent advances in algorithms for physical wireless interference
models.
| [
{
"created": "Wed, 8 Jan 2014 15:14:34 GMT",
"version": "v1"
},
{
"created": "Fri, 16 May 2014 17:19:12 GMT",
"version": "v2"
}
] | 2014-05-19 | [
[
"Gudmundsdottir",
"Helga",
""
],
[
"Ásgeirsson",
"Eyjólfur I",
""
],
[
"Bodlaender",
"Marijke H. L.",
""
],
[
"Foley",
"Joseph T.",
""
],
[
"Halldórsson",
"Magnús M.",
""
],
[
"Vigfusson",
"Ymir",
""
]
] | [
0.0012300964444875717,
-0.006977202370762825,
-0.05137970298528671,
0.052613142877817154,
0.028410011902451515,
-0.09268807619810104,
0.0060519627295434475,
-0.07449548691511154,
0.01853516884148121,
-0.013113941065967083,
-0.043293461203575134,
0.0291367806494236,
0.05190419778227806,
0.033319804817438126,
0.05110973119735718,
-0.021084824576973915,
0.15465065836906433,
-0.028085622936487198,
-0.05525027588009834,
-0.03481562063097954,
0.052963223308324814,
0.045863740146160126,
0.03445880115032196,
-0.0089164013043046,
0.04596038535237312,
-0.052564315497875214,
0.06744803488254547,
-0.0370340459048748,
-0.008096021600067616,
0.027797270566225052,
0.01618439145386219,
-0.043744318187236786,
-0.01635711081326008,
-0.13632206618785858,
-0.03375483304262161,
0.014308927580714226,
0.024786612018942833,
0.05354204401373863,
0.035893745720386505,
0.06937149912118912,
-0.003666630946099758,
0.047155000269412994,
0.04859854280948639,
0.058783214539289474,
-0.0944351851940155,
-0.09804808348417282,
0.05674334987998009,
-0.004383837338536978,
-0.034126605838537216,
-0.056015800684690475,
-0.019882775843143463,
0.04675726965069771,
-0.04060591757297516,
0.029503803700208664,
0.0024116060230880976,
-0.052765171974897385,
-0.0003417494590394199,
0.01933830976486206,
0.007643651217222214,
0.026079444214701653,
0.009058457799255848,
-0.0644104927778244,
-0.029133979231119156,
-0.036682456731796265,
-0.04900379106402397,
-0.05142413452267647,
0.027015814557671547,
0.07017960399389267,
0.03058645874261856,
-0.002358771860599518,
-0.09500137716531754,
-0.0018517958233132958,
-0.04684188589453697,
-0.01332011166960001,
0.06775082647800446,
0.06381460279226303,
-0.010562821291387081,
0.03706631064414978,
-0.0020976027008146048,
0.031397003680467606,
-0.022117160260677338,
-0.01983148604631424,
-0.017666524276137352,
-0.0501529797911644,
0.060921359807252884,
0.0149287274107337,
0.03423383831977844,
0.05870991572737694,
0.09924008697271347,
-0.08254920691251755,
-0.003367955330759287,
-0.031221188604831696,
-0.08994854986667633,
0.04334065690636635,
0.015408811159431934,
-0.026470420882105827,
-0.0012448650086298585,
-0.06640498340129852,
0.041020847856998444,
0.0813831090927124,
0.041919149458408356,
-0.06564004719257355,
-0.05014657974243164,
0.005251108203083277,
0.013133428059518337,
0.03464481234550476,
-0.043491631746292114,
0.05788738280534744,
0.010722137987613678,
0.05484701693058014,
0.03776329383254051,
0.040998078882694244,
-0.014411847107112408,
0.0871620699763298,
-0.050705768167972565,
0.059370577335357666,
0.06315883994102478,
0.01512084063142538,
0.0689798891544342,
0.06204645335674286,
-0.0153250303119421,
-0.08010461181402206,
0.08480948954820633,
0.029840895906090736,
0.1041816771030426,
-0.015833115205168724,
-0.03341139480471611,
8.965848980381795e-34,
-0.09689304977655411,
0.06250438839197159,
-0.017385628074407578,
0.052987001836299896,
0.05859867483377457,
-0.0578300803899765,
-0.02308029495179653,
0.06868951767683029,
0.07018132507801056,
0.04019461199641228,
-0.04271916300058365,
-0.0029795148875564337,
-0.007840787060558796,
-0.03197202831506729,
0.10823682695627213,
0.05075909197330475,
0.015372964553534985,
-0.045383270829916,
-0.029654288664460182,
0.02090473659336567,
0.06548977643251419,
-0.13700661063194275,
-0.06664268672466278,
0.0187358595430851,
0.009246529079973698,
-0.02400868944823742,
-0.022250894457101822,
-0.032959483563899994,
-0.012643452733755112,
-0.0023798055481165648,
0.00625185389071703,
0.014414451085031033,
0.05895841866731644,
0.0924985259771347,
0.055268168449401855,
0.02515212632715702,
-0.023340780287981033,
0.006963311228901148,
0.026547005400061607,
-0.019170235842466354,
-0.06676580011844635,
-0.024259943515062332,
-0.0051512387581169605,
-0.017020754516124725,
0.02160590887069702,
-0.12092553079128265,
-0.03072548285126686,
0.00578592112287879,
-0.06231911480426788,
-0.042622365057468414,
0.016651207581162453,
-0.007941490970551968,
-0.012640093453228474,
0.07661880552768707,
-0.010613732039928436,
-0.06823121011257172,
0.03841133415699005,
-0.03549359366297722,
0.05890297144651413,
0.16104863584041595,
-0.01909521408379078,
0.007901660166680813,
0.05052189528942108,
0.01049079094082117,
0.018224243074655533,
-0.09768015891313553,
-0.0038890864234417677,
-0.008240724913775921,
0.027148017659783363,
0.05303236097097397,
0.04617534205317497,
0.001805062755011022,
0.045529354363679886,
0.0033487926702946424,
0.035242367535829544,
-0.09699974954128265,
-0.03829986974596977,
0.002134905196726322,
0.0009235007455572486,
0.02209053747355938,
0.028878502547740936,
0.05491606146097183,
-0.055404625833034515,
-0.04375498369336128,
-0.0380721278488636,
-0.0682152807712555,
-0.07453259825706482,
-0.10110317915678024,
-0.09101326763629913,
-0.02487938106060028,
-0.03811999782919884,
0.07223967462778091,
-0.06597863137722015,
-0.035573214292526245,
-0.07007303088903427,
-2.69714809440373e-33,
0.009145261719822884,
0.05622648820281029,
0.055955205112695694,
-0.03891272097826004,
-0.015302666462957859,
-0.0974767729640007,
-0.009403173811733723,
0.035675641149282455,
-0.008294439874589443,
-0.03897213190793991,
-0.05703890323638916,
-0.002854448277503252,
0.07628650218248367,
0.11810696870088577,
-0.0006060217274352908,
-0.031378284096717834,
0.034402839839458466,
-0.06359140574932098,
-0.03787962347269058,
-0.04174158349633217,
0.02358953095972538,
-0.008089561015367508,
-0.03886548802256584,
-0.06172562390565872,
0.03599481284618378,
-0.024630602449178696,
0.0014497655211016536,
0.09333915263414383,
-0.004255285486578941,
0.03314632922410965,
-0.10534290224313736,
-0.00681377062574029,
-0.006605374626815319,
-0.06108611822128296,
0.09258712828159332,
0.09044833481311798,
0.06824276596307755,
0.06890211254358292,
-0.03538711369037628,
0.04340504854917526,
0.03124011494219303,
-0.016143152490258217,
-0.054472632706165314,
0.04531103000044823,
0.03862610086798668,
-0.0075063323602080345,
-0.01650678925216198,
0.03303728997707367,
-0.08591542392969131,
-0.11719159036874771,
0.08777238428592682,
0.02808447927236557,
-0.04532022774219513,
0.06523775309324265,
-0.0007385342032648623,
0.03955762833356857,
-0.04346923902630806,
0.03155282884836197,
0.06290245056152344,
0.05616189166903496,
-0.029826749116182327,
-0.060916800051927567,
-0.017559051513671875,
0.09684757888317108,
0.02927490882575512,
-0.007144434377551079,
-0.012275672517716885,
0.02036989852786064,
0.0008364091045223176,
0.12392963469028473,
-0.06470850855112076,
-0.014040177688002586,
0.004398776218295097,
-0.003741214517503977,
0.022560982033610344,
0.016019247472286224,
0.06540172547101974,
-0.0031593560706824064,
-0.025895381346344948,
0.036648061126470566,
-0.08588831126689911,
0.08119881898164749,
-0.05996604636311531,
-0.06005608290433884,
0.0347617045044899,
0.05107754096388817,
-0.0001417884195689112,
-0.03713339939713478,
-0.07728251069784164,
-0.06450410187244415,
0.05983299762010574,
-0.02576339617371559,
-0.028535427525639534,
-0.010390783660113811,
-0.026053881272673607,
-5.145013659557662e-8,
-0.09842874109745026,
0.019613321870565414,
-0.028904227539896965,
-0.06282312422990799,
0.028082236647605896,
-0.030911870300769806,
0.061974868178367615,
-0.06642847508192062,
0.025283027440309525,
0.02532183565199375,
0.008225010707974434,
0.007230933289974928,
-0.0005529653863050044,
0.0767681673169136,
-0.04058735817670822,
0.023871246725320816,
-0.04073892533779144,
-0.0685398057103157,
0.0008973156218416989,
-0.004709486849606037,
0.026358501985669136,
0.027615658938884735,
0.05824281647801399,
0.0038870172575116158,
0.013771744444966316,
0.014908560551702976,
0.019578220322728157,
0.030192513018846512,
0.09017506241798401,
0.006934431381523609,
0.006673142313957214,
-0.02317388914525509,
0.011591987684369087,
0.11046420782804489,
-0.057753194123506546,
0.006326756440103054,
-0.040411971509456635,
-0.02039630338549614,
0.008983311243355274,
0.058681610971689224,
-0.06537818908691406,
-0.039491478353738785,
-0.035780973732471466,
0.04221877083182335,
0.08325417339801788,
0.05471194162964821,
-0.00677058519795537,
0.043120019137859344,
-0.036191996186971664,
-0.054957009851932526,
-0.000879269209690392,
0.03932616487145424,
-0.07233959436416626,
-0.11313942074775696,
0.023146692663431168,
-0.07125570625066757,
0.021586384624242783,
-0.08917771279811859,
0.0025437066797167063,
-0.0018010662170127034,
-0.07812924683094025,
0.05470432713627815,
-0.09961193054914474,
-0.04927925392985344
] | null | null | null | null | null | null | null | [
0.0012300964444875717,
-0.006977202370762825,
-0.05137970298528671,
0.052613142877817154,
0.028410011902451515,
-0.09268807619810104,
0.0060519627295434475,
-0.07449548691511154,
0.01853516884148121,
-0.013113941065967083,
-0.043293461203575134,
0.0291367806494236,
0.05190419778227806,
0.033319804817438126,
0.05110973119735718,
-0.021084824576973915,
0.15465065836906433,
-0.028085622936487198,
-0.05525027588009834,
-0.03481562063097954,
0.052963223308324814,
0.045863740146160126,
0.03445880115032196,
-0.0089164013043046,
0.04596038535237312,
-0.052564315497875214,
0.06744803488254547,
-0.0370340459048748,
-0.008096021600067616,
0.027797270566225052,
0.01618439145386219,
-0.043744318187236786,
-0.01635711081326008,
-0.13632206618785858,
-0.03375483304262161,
0.014308927580714226,
0.024786612018942833,
0.05354204401373863,
0.035893745720386505,
0.06937149912118912,
-0.003666630946099758,
0.047155000269412994,
0.04859854280948639,
0.058783214539289474,
-0.0944351851940155,
-0.09804808348417282,
0.05674334987998009,
-0.004383837338536978,
-0.034126605838537216,
-0.056015800684690475,
-0.019882775843143463,
0.04675726965069771,
-0.04060591757297516,
0.029503803700208664,
0.0024116060230880976,
-0.052765171974897385,
-0.0003417494590394199,
0.01933830976486206,
0.007643651217222214,
0.026079444214701653,
0.009058457799255848,
-0.0644104927778244,
-0.029133979231119156,
-0.036682456731796265,
-0.04900379106402397,
-0.05142413452267647,
0.027015814557671547,
0.07017960399389267,
0.03058645874261856,
-0.002358771860599518,
-0.09500137716531754,
-0.0018517958233132958,
-0.04684188589453697,
-0.01332011166960001,
0.06775082647800446,
0.06381460279226303,
-0.010562821291387081,
0.03706631064414978,
-0.0020976027008146048,
0.031397003680467606,
-0.022117160260677338,
-0.01983148604631424,
-0.017666524276137352,
-0.0501529797911644,
0.060921359807252884,
0.0149287274107337,
0.03423383831977844,
0.05870991572737694,
0.09924008697271347,
-0.08254920691251755,
-0.003367955330759287,
-0.031221188604831696,
-0.08994854986667633,
0.04334065690636635,
0.015408811159431934,
-0.026470420882105827,
-0.0012448650086298585,
-0.06640498340129852,
0.041020847856998444,
0.0813831090927124,
0.041919149458408356,
-0.06564004719257355,
-0.05014657974243164,
0.005251108203083277,
0.013133428059518337,
0.03464481234550476,
-0.043491631746292114,
0.05788738280534744,
0.010722137987613678,
0.05484701693058014,
0.03776329383254051,
0.040998078882694244,
-0.014411847107112408,
0.0871620699763298,
-0.050705768167972565,
0.059370577335357666,
0.06315883994102478,
0.01512084063142538,
0.0689798891544342,
0.06204645335674286,
-0.0153250303119421,
-0.08010461181402206,
0.08480948954820633,
0.029840895906090736,
0.1041816771030426,
-0.015833115205168724,
-0.03341139480471611,
8.965848980381795e-34,
-0.09689304977655411,
0.06250438839197159,
-0.017385628074407578,
0.052987001836299896,
0.05859867483377457,
-0.0578300803899765,
-0.02308029495179653,
0.06868951767683029,
0.07018132507801056,
0.04019461199641228,
-0.04271916300058365,
-0.0029795148875564337,
-0.007840787060558796,
-0.03197202831506729,
0.10823682695627213,
0.05075909197330475,
0.015372964553534985,
-0.045383270829916,
-0.029654288664460182,
0.02090473659336567,
0.06548977643251419,
-0.13700661063194275,
-0.06664268672466278,
0.0187358595430851,
0.009246529079973698,
-0.02400868944823742,
-0.022250894457101822,
-0.032959483563899994,
-0.012643452733755112,
-0.0023798055481165648,
0.00625185389071703,
0.014414451085031033,
0.05895841866731644,
0.0924985259771347,
0.055268168449401855,
0.02515212632715702,
-0.023340780287981033,
0.006963311228901148,
0.026547005400061607,
-0.019170235842466354,
-0.06676580011844635,
-0.024259943515062332,
-0.0051512387581169605,
-0.017020754516124725,
0.02160590887069702,
-0.12092553079128265,
-0.03072548285126686,
0.00578592112287879,
-0.06231911480426788,
-0.042622365057468414,
0.016651207581162453,
-0.007941490970551968,
-0.012640093453228474,
0.07661880552768707,
-0.010613732039928436,
-0.06823121011257172,
0.03841133415699005,
-0.03549359366297722,
0.05890297144651413,
0.16104863584041595,
-0.01909521408379078,
0.007901660166680813,
0.05052189528942108,
0.01049079094082117,
0.018224243074655533,
-0.09768015891313553,
-0.0038890864234417677,
-0.008240724913775921,
0.027148017659783363,
0.05303236097097397,
0.04617534205317497,
0.001805062755011022,
0.045529354363679886,
0.0033487926702946424,
0.035242367535829544,
-0.09699974954128265,
-0.03829986974596977,
0.002134905196726322,
0.0009235007455572486,
0.02209053747355938,
0.028878502547740936,
0.05491606146097183,
-0.055404625833034515,
-0.04375498369336128,
-0.0380721278488636,
-0.0682152807712555,
-0.07453259825706482,
-0.10110317915678024,
-0.09101326763629913,
-0.02487938106060028,
-0.03811999782919884,
0.07223967462778091,
-0.06597863137722015,
-0.035573214292526245,
-0.07007303088903427,
-2.69714809440373e-33,
0.009145261719822884,
0.05622648820281029,
0.055955205112695694,
-0.03891272097826004,
-0.015302666462957859,
-0.0974767729640007,
-0.009403173811733723,
0.035675641149282455,
-0.008294439874589443,
-0.03897213190793991,
-0.05703890323638916,
-0.002854448277503252,
0.07628650218248367,
0.11810696870088577,
-0.0006060217274352908,
-0.031378284096717834,
0.034402839839458466,
-0.06359140574932098,
-0.03787962347269058,
-0.04174158349633217,
0.02358953095972538,
-0.008089561015367508,
-0.03886548802256584,
-0.06172562390565872,
0.03599481284618378,
-0.024630602449178696,
0.0014497655211016536,
0.09333915263414383,
-0.004255285486578941,
0.03314632922410965,
-0.10534290224313736,
-0.00681377062574029,
-0.006605374626815319,
-0.06108611822128296,
0.09258712828159332,
0.09044833481311798,
0.06824276596307755,
0.06890211254358292,
-0.03538711369037628,
0.04340504854917526,
0.03124011494219303,
-0.016143152490258217,
-0.054472632706165314,
0.04531103000044823,
0.03862610086798668,
-0.0075063323602080345,
-0.01650678925216198,
0.03303728997707367,
-0.08591542392969131,
-0.11719159036874771,
0.08777238428592682,
0.02808447927236557,
-0.04532022774219513,
0.06523775309324265,
-0.0007385342032648623,
0.03955762833356857,
-0.04346923902630806,
0.03155282884836197,
0.06290245056152344,
0.05616189166903496,
-0.029826749116182327,
-0.060916800051927567,
-0.017559051513671875,
0.09684757888317108,
0.02927490882575512,
-0.007144434377551079,
-0.012275672517716885,
0.02036989852786064,
0.0008364091045223176,
0.12392963469028473,
-0.06470850855112076,
-0.014040177688002586,
0.004398776218295097,
-0.003741214517503977,
0.022560982033610344,
0.016019247472286224,
0.06540172547101974,
-0.0031593560706824064,
-0.025895381346344948,
0.036648061126470566,
-0.08588831126689911,
0.08119881898164749,
-0.05996604636311531,
-0.06005608290433884,
0.0347617045044899,
0.05107754096388817,
-0.0001417884195689112,
-0.03713339939713478,
-0.07728251069784164,
-0.06450410187244415,
0.05983299762010574,
-0.02576339617371559,
-0.028535427525639534,
-0.010390783660113811,
-0.026053881272673607,
-5.145013659557662e-8,
-0.09842874109745026,
0.019613321870565414,
-0.028904227539896965,
-0.06282312422990799,
0.028082236647605896,
-0.030911870300769806,
0.061974868178367615,
-0.06642847508192062,
0.025283027440309525,
0.02532183565199375,
0.008225010707974434,
0.007230933289974928,
-0.0005529653863050044,
0.0767681673169136,
-0.04058735817670822,
0.023871246725320816,
-0.04073892533779144,
-0.0685398057103157,
0.0008973156218416989,
-0.004709486849606037,
0.026358501985669136,
0.027615658938884735,
0.05824281647801399,
0.0038870172575116158,
0.013771744444966316,
0.014908560551702976,
0.019578220322728157,
0.030192513018846512,
0.09017506241798401,
0.006934431381523609,
0.006673142313957214,
-0.02317388914525509,
0.011591987684369087,
0.11046420782804489,
-0.057753194123506546,
0.006326756440103054,
-0.040411971509456635,
-0.02039630338549614,
0.008983311243355274,
0.058681610971689224,
-0.06537818908691406,
-0.039491478353738785,
-0.035780973732471466,
0.04221877083182335,
0.08325417339801788,
0.05471194162964821,
-0.00677058519795537,
0.043120019137859344,
-0.036191996186971664,
-0.054957009851932526,
-0.000879269209690392,
0.03932616487145424,
-0.07233959436416626,
-0.11313942074775696,
0.023146692663431168,
-0.07125570625066757,
0.021586384624242783,
-0.08917771279811859,
0.0025437066797167063,
-0.0018010662170127034,
-0.07812924683094025,
0.05470432713627815,
-0.09961193054914474,
-0.04927925392985344
] |
1401.1724 | Tomoya Iju | T. Iju, M. Tokumaru, K. Fujiki | Kinematic Properties of Slow ICMEs and an Interpretation of a Modified
Drag Equation for Fast and Moderate ICMEs | 24 pages, 6 figures, 10 tables, accepted for publication in Solar
Physics | Solar Phys. 289 (2014) 2157--2175 | 10.1007/s11207-014-0472-3 | null | physics.space-ph astro-ph.SR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report kinematic properties of slow interplanetary coronal mass ejections
(ICMEs) identified by SOHO/LASCO, interplanetary scintillation, and in-situ
observations, and propose a modified equation for the ICME motion. We identify
seven ICMEs between 2010 and 2011, and examine them with 39 events reported in
our previous work. We examine 15 fast (V_SOHO - V_bg > 500 km/s), 25 moderate
(0 km/s <= V_SOHO - V_bg <= 500 km/s), and 6 slow (V_SOHO - V_bg < 0 km/s)
ICMEs, where V_SOHO and V_bg are the initial speed of ICMEs and the speed of
the background solar wind, respectively. For slow ICMEs, we found the following
results: i) They accelerate toward the speed of the background solar wind
during their propagation, and reach their final speed by 0.34 (+-) 0.03 AU. ii)
The acceleration ends when they reach 479 (+-) 126 km/s; this is close to the
typical speed of the solar wind during the period of this study. iii) When k_1
and k_2 are assumed to be constants, a quadratic equation for the acceleration
a = -k_2(V - V_bg)|V - V_bg| is more appropriate than a linear one a = -k_1(V -
V_bg), where V is the propagation speed of ICMEs, while the latter gives a
smaller chi-square value than the former. For the motion of the fast and
moderate ICMEs, we found a modified drag equation. From the viewpoint of fluid
dynamics, we interpret this equation as indicating that ICMEs with 0 km/s <= V
- V_bg <= 2300 km/s are controlled mainly by the hydrodynamic Stokes drag
force, while the aerodynamic drag force is a predominant factor for the
propagation of ICME with V - V_bg > 2300 km/s.
| [
{
"created": "Wed, 8 Jan 2014 15:22:40 GMT",
"version": "v1"
}
] | 2014-10-08 | [
[
"Iju",
"T.",
""
],
[
"Tokumaru",
"M.",
""
],
[
"Fujiki",
"K.",
""
]
] | [
0.006152970716357231,
-0.007418315391987562,
0.10346300899982452,
0.01243335660547018,
0.0694388598203659,
-0.04294179007411003,
-0.040990378707647324,
-0.02242378704249859,
0.049348942935466766,
-0.003687645774334669,
0.02172611653804779,
-0.04047060012817383,
0.014089399948716164,
-0.08062029629945755,
0.04397941008210182,
-0.009573569521307945,
0.013289202004671097,
-0.04446960613131523,
-0.00606470787897706,
0.06780854612588882,
-0.00732200313359499,
0.025543777272105217,
-0.03931525722146034,
0.04683307185769081,
0.07035928219556808,
0.02442140132188797,
-0.10688578337430954,
-0.046434979885816574,
-0.06290866434574127,
0.04450839385390282,
-0.020179186016321182,
0.01337090227752924,
-0.07147589325904846,
0.05597826838493347,
-0.03567279502749443,
0.0014052769402042031,
0.043240610510110855,
-0.006691519170999527,
0.056257717311382294,
0.01645745150744915,
-0.005084844771772623,
-0.12375256419181824,
0.011544400826096535,
-0.01884494535624981,
0.020983686670660973,
0.03842389956116676,
0.008443059399724007,
-0.027206826955080032,
-0.008233973756432533,
0.009458690881729126,
-0.014069507829844952,
0.0018861889839172363,
-0.05019695311784744,
0.0705619528889656,
0.011737222783267498,
0.022635119035840034,
0.027214575558900833,
-0.013277932070195675,
0.06733856350183487,
-0.0019093037117272615,
0.018347766250371933,
-0.049191851168870926,
-0.11705495417118073,
0.03602002561092377,
-0.05096651613712311,
-0.0352843776345253,
0.0011467149015516043,
0.04370918869972229,
0.051772214472293854,
0.014574553817510605,
-0.012684994377195835,
0.10246920585632324,
-0.08133383095264435,
0.015541920438408852,
0.004864880349487066,
0.04000679776072502,
0.10430016368627548,
0.01480978075414896,
0.04585285112261772,
-0.12146160751581192,
0.028899289667606354,
0.0644221231341362,
-0.05833956226706505,
0.012483291327953339,
-0.05330177769064903,
0.07181291282176971,
-0.04039155691862106,
0.12454463541507721,
0.024498499929904938,
-0.03525998443365097,
0.05079551786184311,
-0.04299914464354515,
-0.07030083984136581,
-0.037939127534627914,
0.09338536113500595,
0.017464233562350273,
0.004514053463935852,
-0.0978747308254242,
0.022461719810962677,
0.02215166576206684,
0.022647345438599586,
0.020570099353790283,
-0.058245252817869186,
0.07803800702095032,
-0.054957035928964615,
0.1330520063638687,
0.004886562004685402,
0.0070696244947612286,
-0.0629679262638092,
0.030700622126460075,
-0.03234145790338516,
0.019375819712877274,
-0.02335321344435215,
-0.05324380472302437,
0.031225884333252907,
0.05113646388053894,
0.027910428121685982,
0.06650195270776749,
-0.07882236689329147,
-0.07406777888536453,
-0.09308315813541412,
0.028685837984085083,
0.03323666751384735,
0.07350360602140427,
-0.047256551682949066,
-0.03946731984615326,
0.0362398624420166,
1.9202186948811704e-33,
0.033641260117292404,
0.03822576254606247,
0.00840231217443943,
0.025978976860642433,
-0.05709483101963997,
0.04565546661615372,
-0.07456065714359283,
0.07523591071367264,
-0.013339824974536896,
-0.026223236694931984,
-0.12819211184978485,
-0.0322071835398674,
0.0070769041776657104,
0.043079156428575516,
-0.018124669790267944,
-0.042130034416913986,
0.08860095590353012,
-0.040883686393499374,
-0.05100078508257866,
-0.013124437071383,
-0.04254169017076492,
0.010667701251804829,
-0.060273267328739166,
-0.05896516144275665,
0.01860847696661949,
0.05921678617596626,
0.00800679624080658,
-0.00031144716194830835,
-0.0025059347972273827,
0.007495502475649118,
-0.050621531903743744,
-0.028212882578372955,
0.027715494856238365,
0.023167280480265617,
-0.029057186096906662,
0.01565569080412388,
-0.028830036520957947,
0.020619116723537445,
0.04793812334537506,
-0.04252981022000313,
-0.006592264864593744,
0.0634678453207016,
-0.08483795821666718,
0.02183559723198414,
-0.05347001925110817,
0.043479207903146744,
-0.011617890559136868,
0.000038619833503616974,
0.003602714976295829,
0.025795068591833115,
0.023291319608688354,
0.11853385716676712,
-0.07974648475646973,
-0.005274196621030569,
0.02942856028676033,
-0.004457114730030298,
0.08108299225568771,
-0.027131957933306694,
-0.06552182137966156,
0.07615003734827042,
0.05315772071480751,
-0.010124540887773037,
0.004683555569499731,
0.07594030350446701,
-0.05063929781317711,
0.0780927985906601,
-0.07049310207366943,
0.06571809947490692,
-0.004561509005725384,
-0.041006095707416534,
-0.02623724937438965,
0.009890795685350895,
0.06267037242650986,
-0.05249663442373276,
0.07107863575220108,
-0.05938301980495453,
0.009218394756317139,
-0.026689749211072922,
-0.033258192241191864,
0.07607068866491318,
-0.06170758605003357,
-0.049125172197818756,
0.010714073665440083,
-0.07332076132297516,
-0.06394786387681961,
0.006734012626111507,
-0.010418207384645939,
-0.017529921606183052,
0.010487133637070656,
-0.059536274522542953,
0.03375197947025299,
-0.0007558837532997131,
0.038176678121089935,
0.03311367332935333,
-0.1025930643081665,
-4.574107495148686e-33,
0.030967306345701218,
-0.021498246118426323,
-0.010916924104094505,
-0.020359277725219727,
-0.00983643252402544,
0.13756217062473297,
0.035568900406360626,
-0.004776150453835726,
-0.11169642955064774,
-0.035100046545267105,
-0.005267286207526922,
0.011216886341571808,
-0.07854623347520828,
-0.06932031363248825,
0.07245039939880371,
-0.02389807067811489,
0.004175289999693632,
0.01856003701686859,
-0.03440912440419197,
0.036117732524871826,
0.09500989317893982,
0.028708472847938538,
0.00887333508580923,
-0.02815629355609417,
-0.010778446681797504,
-0.02025732956826687,
0.046696390956640244,
-0.00337716075591743,
-0.037398070096969604,
-0.007886870764195919,
-0.02092825062572956,
-0.010497653856873512,
-0.017995035275816917,
-0.0017839799402281642,
0.03439498320221901,
0.07778727263212204,
0.03088996186852455,
-0.030547531321644783,
-0.0985674262046814,
-0.014185653068125248,
-0.002266078256070614,
0.10396552830934525,
-0.04150981456041336,
-0.027421845123171806,
0.015375564806163311,
0.013144126161932945,
-0.026445364579558372,
0.06207500398159027,
0.01705128699541092,
0.03163847699761391,
-0.026439331471920013,
-0.05559413880109787,
-0.06645340472459793,
0.06705000251531601,
0.07130339741706848,
-0.016953639686107635,
0.008119994774460793,
0.04988832771778107,
-0.057542990893125534,
-0.06797198951244354,
-0.03358840197324753,
-0.042958252131938934,
-0.017886461690068245,
-0.025219222530722618,
0.042485252022743225,
-0.15319493412971497,
0.04679207131266594,
0.026399830356240273,
-0.03446919098496437,
-0.04008947312831879,
0.060378190129995346,
-0.055761612951755524,
-0.06315680593252182,
-0.003937101457268,
-0.019010839983820915,
0.010037840344011784,
0.09504695236682892,
-0.07726574689149857,
-0.07788754999637604,
0.022276896983385086,
-0.04322943091392517,
0.015774210914969444,
0.08689887076616287,
-0.009587990120053291,
-0.08124956488609314,
0.013623138889670372,
0.011486964300274849,
-0.0748625099658966,
-0.038597602397203445,
0.052687473595142365,
-0.0066661774180829525,
0.00639431132003665,
0.11533073335886002,
0.04957125335931778,
0.014257693663239479,
-5.177005846235261e-8,
0.04610804468393326,
-0.001279178075492382,
-0.01230038981884718,
0.010880669578909874,
-0.07085339725017548,
0.06145387142896652,
-0.03437262773513794,
0.048494257032871246,
0.01652543805539608,
-0.026524389162659645,
0.06328343600034714,
0.0034594957251101732,
0.06015154346823692,
-0.020146170631051064,
-0.10528296232223511,
-0.04893860965967178,
-0.011663387529551983,
-0.054961901158094406,
0.049362316727638245,
0.036033790558576584,
0.07655823230743408,
0.07442394644021988,
0.0047808559611439705,
-0.06052297353744507,
0.04221921041607857,
0.019144916906952858,
-0.0030720189679414034,
0.02242799662053585,
-0.07162598520517349,
-0.04103155434131622,
-0.10237973928451538,
-0.04100961983203888,
0.01117575354874134,
-0.09782829880714417,
0.008379416540265083,
0.1169302687048912,
-0.02876124531030655,
0.08050484955310822,
0.06368447095155716,
0.051611270755529404,
0.022594284266233444,
0.01414811983704567,
-0.03797108307480812,
-0.03193781152367592,
0.016025137156248093,
0.03666391968727112,
-0.033774398267269135,
-0.11358646303415298,
0.006208375561982393,
0.019496982917189598,
0.006162302102893591,
0.06395453959703445,
0.024881860241293907,
-0.06621920317411423,
-0.04980599507689476,
0.034720420837402344,
-0.16162852942943573,
-0.002964088460430503,
0.046606309711933136,
-0.02620009146630764,
0.02994648739695549,
0.0003426137554924935,
-0.09892649948596954,
-0.013607905246317387
] | null | null | null | null | null | null | null | [
0.006152970716357231,
-0.007418315391987562,
0.10346300899982452,
0.01243335660547018,
0.0694388598203659,
-0.04294179007411003,
-0.040990378707647324,
-0.02242378704249859,
0.049348942935466766,
-0.003687645774334669,
0.02172611653804779,
-0.04047060012817383,
0.014089399948716164,
-0.08062029629945755,
0.04397941008210182,
-0.009573569521307945,
0.013289202004671097,
-0.04446960613131523,
-0.00606470787897706,
0.06780854612588882,
-0.00732200313359499,
0.025543777272105217,
-0.03931525722146034,
0.04683307185769081,
0.07035928219556808,
0.02442140132188797,
-0.10688578337430954,
-0.046434979885816574,
-0.06290866434574127,
0.04450839385390282,
-0.020179186016321182,
0.01337090227752924,
-0.07147589325904846,
0.05597826838493347,
-0.03567279502749443,
0.0014052769402042031,
0.043240610510110855,
-0.006691519170999527,
0.056257717311382294,
0.01645745150744915,
-0.005084844771772623,
-0.12375256419181824,
0.011544400826096535,
-0.01884494535624981,
0.020983686670660973,
0.03842389956116676,
0.008443059399724007,
-0.027206826955080032,
-0.008233973756432533,
0.009458690881729126,
-0.014069507829844952,
0.0018861889839172363,
-0.05019695311784744,
0.0705619528889656,
0.011737222783267498,
0.022635119035840034,
0.027214575558900833,
-0.013277932070195675,
0.06733856350183487,
-0.0019093037117272615,
0.018347766250371933,
-0.049191851168870926,
-0.11705495417118073,
0.03602002561092377,
-0.05096651613712311,
-0.0352843776345253,
0.0011467149015516043,
0.04370918869972229,
0.051772214472293854,
0.014574553817510605,
-0.012684994377195835,
0.10246920585632324,
-0.08133383095264435,
0.015541920438408852,
0.004864880349487066,
0.04000679776072502,
0.10430016368627548,
0.01480978075414896,
0.04585285112261772,
-0.12146160751581192,
0.028899289667606354,
0.0644221231341362,
-0.05833956226706505,
0.012483291327953339,
-0.05330177769064903,
0.07181291282176971,
-0.04039155691862106,
0.12454463541507721,
0.024498499929904938,
-0.03525998443365097,
0.05079551786184311,
-0.04299914464354515,
-0.07030083984136581,
-0.037939127534627914,
0.09338536113500595,
0.017464233562350273,
0.004514053463935852,
-0.0978747308254242,
0.022461719810962677,
0.02215166576206684,
0.022647345438599586,
0.020570099353790283,
-0.058245252817869186,
0.07803800702095032,
-0.054957035928964615,
0.1330520063638687,
0.004886562004685402,
0.0070696244947612286,
-0.0629679262638092,
0.030700622126460075,
-0.03234145790338516,
0.019375819712877274,
-0.02335321344435215,
-0.05324380472302437,
0.031225884333252907,
0.05113646388053894,
0.027910428121685982,
0.06650195270776749,
-0.07882236689329147,
-0.07406777888536453,
-0.09308315813541412,
0.028685837984085083,
0.03323666751384735,
0.07350360602140427,
-0.047256551682949066,
-0.03946731984615326,
0.0362398624420166,
1.9202186948811704e-33,
0.033641260117292404,
0.03822576254606247,
0.00840231217443943,
0.025978976860642433,
-0.05709483101963997,
0.04565546661615372,
-0.07456065714359283,
0.07523591071367264,
-0.013339824974536896,
-0.026223236694931984,
-0.12819211184978485,
-0.0322071835398674,
0.0070769041776657104,
0.043079156428575516,
-0.018124669790267944,
-0.042130034416913986,
0.08860095590353012,
-0.040883686393499374,
-0.05100078508257866,
-0.013124437071383,
-0.04254169017076492,
0.010667701251804829,
-0.060273267328739166,
-0.05896516144275665,
0.01860847696661949,
0.05921678617596626,
0.00800679624080658,
-0.00031144716194830835,
-0.0025059347972273827,
0.007495502475649118,
-0.050621531903743744,
-0.028212882578372955,
0.027715494856238365,
0.023167280480265617,
-0.029057186096906662,
0.01565569080412388,
-0.028830036520957947,
0.020619116723537445,
0.04793812334537506,
-0.04252981022000313,
-0.006592264864593744,
0.0634678453207016,
-0.08483795821666718,
0.02183559723198414,
-0.05347001925110817,
0.043479207903146744,
-0.011617890559136868,
0.000038619833503616974,
0.003602714976295829,
0.025795068591833115,
0.023291319608688354,
0.11853385716676712,
-0.07974648475646973,
-0.005274196621030569,
0.02942856028676033,
-0.004457114730030298,
0.08108299225568771,
-0.027131957933306694,
-0.06552182137966156,
0.07615003734827042,
0.05315772071480751,
-0.010124540887773037,
0.004683555569499731,
0.07594030350446701,
-0.05063929781317711,
0.0780927985906601,
-0.07049310207366943,
0.06571809947490692,
-0.004561509005725384,
-0.041006095707416534,
-0.02623724937438965,
0.009890795685350895,
0.06267037242650986,
-0.05249663442373276,
0.07107863575220108,
-0.05938301980495453,
0.009218394756317139,
-0.026689749211072922,
-0.033258192241191864,
0.07607068866491318,
-0.06170758605003357,
-0.049125172197818756,
0.010714073665440083,
-0.07332076132297516,
-0.06394786387681961,
0.006734012626111507,
-0.010418207384645939,
-0.017529921606183052,
0.010487133637070656,
-0.059536274522542953,
0.03375197947025299,
-0.0007558837532997131,
0.038176678121089935,
0.03311367332935333,
-0.1025930643081665,
-4.574107495148686e-33,
0.030967306345701218,
-0.021498246118426323,
-0.010916924104094505,
-0.020359277725219727,
-0.00983643252402544,
0.13756217062473297,
0.035568900406360626,
-0.004776150453835726,
-0.11169642955064774,
-0.035100046545267105,
-0.005267286207526922,
0.011216886341571808,
-0.07854623347520828,
-0.06932031363248825,
0.07245039939880371,
-0.02389807067811489,
0.004175289999693632,
0.01856003701686859,
-0.03440912440419197,
0.036117732524871826,
0.09500989317893982,
0.028708472847938538,
0.00887333508580923,
-0.02815629355609417,
-0.010778446681797504,
-0.02025732956826687,
0.046696390956640244,
-0.00337716075591743,
-0.037398070096969604,
-0.007886870764195919,
-0.02092825062572956,
-0.010497653856873512,
-0.017995035275816917,
-0.0017839799402281642,
0.03439498320221901,
0.07778727263212204,
0.03088996186852455,
-0.030547531321644783,
-0.0985674262046814,
-0.014185653068125248,
-0.002266078256070614,
0.10396552830934525,
-0.04150981456041336,
-0.027421845123171806,
0.015375564806163311,
0.013144126161932945,
-0.026445364579558372,
0.06207500398159027,
0.01705128699541092,
0.03163847699761391,
-0.026439331471920013,
-0.05559413880109787,
-0.06645340472459793,
0.06705000251531601,
0.07130339741706848,
-0.016953639686107635,
0.008119994774460793,
0.04988832771778107,
-0.057542990893125534,
-0.06797198951244354,
-0.03358840197324753,
-0.042958252131938934,
-0.017886461690068245,
-0.025219222530722618,
0.042485252022743225,
-0.15319493412971497,
0.04679207131266594,
0.026399830356240273,
-0.03446919098496437,
-0.04008947312831879,
0.060378190129995346,
-0.055761612951755524,
-0.06315680593252182,
-0.003937101457268,
-0.019010839983820915,
0.010037840344011784,
0.09504695236682892,
-0.07726574689149857,
-0.07788754999637604,
0.022276896983385086,
-0.04322943091392517,
0.015774210914969444,
0.08689887076616287,
-0.009587990120053291,
-0.08124956488609314,
0.013623138889670372,
0.011486964300274849,
-0.0748625099658966,
-0.038597602397203445,
0.052687473595142365,
-0.0066661774180829525,
0.00639431132003665,
0.11533073335886002,
0.04957125335931778,
0.014257693663239479,
-5.177005846235261e-8,
0.04610804468393326,
-0.001279178075492382,
-0.01230038981884718,
0.010880669578909874,
-0.07085339725017548,
0.06145387142896652,
-0.03437262773513794,
0.048494257032871246,
0.01652543805539608,
-0.026524389162659645,
0.06328343600034714,
0.0034594957251101732,
0.06015154346823692,
-0.020146170631051064,
-0.10528296232223511,
-0.04893860965967178,
-0.011663387529551983,
-0.054961901158094406,
0.049362316727638245,
0.036033790558576584,
0.07655823230743408,
0.07442394644021988,
0.0047808559611439705,
-0.06052297353744507,
0.04221921041607857,
0.019144916906952858,
-0.0030720189679414034,
0.02242799662053585,
-0.07162598520517349,
-0.04103155434131622,
-0.10237973928451538,
-0.04100961983203888,
0.01117575354874134,
-0.09782829880714417,
0.008379416540265083,
0.1169302687048912,
-0.02876124531030655,
0.08050484955310822,
0.06368447095155716,
0.051611270755529404,
0.022594284266233444,
0.01414811983704567,
-0.03797108307480812,
-0.03193781152367592,
0.016025137156248093,
0.03666391968727112,
-0.033774398267269135,
-0.11358646303415298,
0.006208375561982393,
0.019496982917189598,
0.006162302102893591,
0.06395453959703445,
0.024881860241293907,
-0.06621920317411423,
-0.04980599507689476,
0.034720420837402344,
-0.16162852942943573,
-0.002964088460430503,
0.046606309711933136,
-0.02620009146630764,
0.02994648739695549,
0.0003426137554924935,
-0.09892649948596954,
-0.013607905246317387
] |
1401.1732 | Alessandro Sordoni | Alessandro Sordoni and Jian-Yun Nie | Looking at Vector Space and Language Models for IR using Density
Matrices | In Proceedings of Quantum Interaction 2013 | null | null | null | cs.IR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we conduct a joint analysis of both Vector Space and Language
Models for IR using the mathematical framework of Quantum Theory. We shed light
on how both models allocate the space of density matrices. A density matrix is
shown to be a general representational tool capable of leveraging capabilities
of both VSM and LM representations thus paving the way for a new generation of
retrieval models. We analyze the possible implications suggested by our
findings.
| [
{
"created": "Wed, 8 Jan 2014 15:46:35 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Sordoni",
"Alessandro",
""
],
[
"Nie",
"Jian-Yun",
""
]
] | [
-0.06824017316102982,
-0.060927797108888626,
-0.08481843769550323,
0.06593944132328033,
-0.05213804915547371,
0.10867176204919815,
0.033960603177547455,
-0.020773954689502716,
0.10927273333072662,
-0.06254874914884567,
0.05303123593330383,
0.013099310919642448,
0.021349452435970306,
0.09521389752626419,
0.00444919615983963,
0.011921894736588001,
0.05268016457557678,
0.03072896972298622,
-0.04543101415038109,
-0.017002886161208153,
0.007906434126198292,
0.0653548389673233,
-0.014232837595045567,
-0.06472197920084,
0.027156705036759377,
-0.012280922383069992,
0.016843270510435104,
-0.0006503905751742423,
0.025208234786987305,
-0.038584932684898376,
0.03729578107595444,
0.0767866000533104,
0.0054659657180309296,
0.08372750878334045,
-0.029174258932471275,
0.029070096090435982,
-0.03490608558058739,
-0.05070886015892029,
-0.01928294263780117,
-0.022881677374243736,
-0.008930722251534462,
0.05540706217288971,
-0.013210156932473183,
0.05506351962685585,
0.06374046951532364,
-0.03347565978765488,
0.02940739132463932,
-0.012408493086695671,
-0.04668991267681122,
-0.10475444048643112,
-0.05598613992333412,
0.06700199097394943,
0.014385819435119629,
0.08264636993408203,
-0.04141815006732941,
-0.08325491845607758,
0.035982903093099594,
-0.02020527422428131,
-0.06195429712533951,
-0.08874208480119705,
-0.1003226637840271,
-0.02976018376648426,
-0.024203015491366386,
0.027476731687784195,
0.08953641355037689,
0.030500013381242752,
0.003902436001226306,
0.06933694332838058,
-0.02959364280104637,
0.017207155004143715,
-0.11246322095394135,
0.04700324311852455,
-0.05116477981209755,
0.026780560612678528,
-0.007069012150168419,
0.01403979491442442,
0.07831091433763504,
0.051459409296512604,
0.06844320148229599,
0.0016022964846342802,
0.00762167340144515,
-0.018254654482007027,
0.047173094004392624,
0.054765574634075165,
0.09652456641197205,
0.05290145426988602,
-0.03649435192346573,
-0.04004455357789993,
-0.009632257744669914,
-0.056173522025346756,
-0.021704424172639847,
-0.0772167444229126,
0.05178816244006157,
0.03897862881422043,
0.014747532084584236,
0.03617366775870323,
0.04366447404026985,
-0.021472258493304253,
0.07365373522043228,
-0.004411227069795132,
0.07907979190349579,
0.024780621752142906,
0.014854179695248604,
-0.04195787012577057,
-0.04111408069729805,
-0.007383763324469328,
-0.02986876480281353,
-0.002445327118039131,
0.0069197299890220165,
-0.06985677033662796,
0.005651457235217094,
-0.04290643706917763,
-0.03606512024998665,
0.04922564700245857,
-0.05094580724835396,
-0.01082308404147625,
0.02587888203561306,
0.016267022117972374,
0.025124380365014076,
-0.06139844283461571,
-0.05699530616402626,
0.06235890090465546,
0.041487738490104675,
0.016610942780971527,
-0.0056708320043981075,
-0.004362521693110466,
-0.1096220314502716,
1.0774312141633344e-33,
-0.01991184987127781,
0.036939170211553574,
-0.08027569949626923,
0.05549982562661171,
0.03890203684568405,
0.01601294055581093,
0.08816840499639511,
0.013855312950909138,
-0.011683178134262562,
-0.06325601041316986,
0.014444013126194477,
0.08848457783460617,
0.007929581217467785,
-0.005814071279019117,
-0.036023691296577454,
0.0421002060174942,
-0.02031848020851612,
0.07575616985559464,
-0.05405807122588158,
-0.10043980181217194,
0.03662881627678871,
0.0634697675704956,
0.0027060669381171465,
-0.0008901715627871454,
-0.009251473471522331,
-0.011962635442614555,
0.09203100204467773,
-0.07955937087535858,
-0.1379966139793396,
-0.004812596831470728,
-0.1249987781047821,
0.069377101957798,
-0.013521244749426842,
-0.0012230752035975456,
0.03548510745167732,
-0.006468797102570534,
0.002677543554455042,
0.004610843025147915,
-0.004448025021702051,
-0.11803721636533737,
-0.026531698182225227,
0.031520530581474304,
0.029402127489447594,
-0.09465382248163223,
-0.11400089412927628,
-0.009566356427967548,
0.05536257475614548,
-0.07083858549594879,
0.025616934522986412,
-0.08870963007211685,
0.06038745865225792,
-0.024746617302298546,
-0.09929534792900085,
0.044989749789237976,
0.09074040502309799,
-0.00036840210668742657,
-0.008183195255696774,
0.08313484489917755,
-0.0033915629610419273,
0.0427669920027256,
-0.03684022277593613,
0.06342145055532455,
0.09142407774925232,
-0.006908527109771967,
0.02970384620130062,
-0.012672550976276398,
-0.07941579818725586,
0.013401508331298828,
0.08733566850423813,
0.12643074989318848,
0.03592047467827797,
0.009414071217179298,
0.046791933476924896,
-0.046063173562288284,
0.04251367598772049,
-0.061679527163505554,
-0.008301658555865288,
-0.13378915190696716,
-0.01476169191300869,
0.03987518325448036,
0.0077083720825612545,
-0.08844061940908432,
0.012744689360260963,
0.00658651115372777,
-0.05429045855998993,
-0.09629441797733307,
-0.01926432177424431,
-0.11178798973560333,
0.03502121567726135,
-0.08069625496864319,
-0.006761275697499514,
-0.050669245421886444,
0.025190403684973717,
-0.057771194726228714,
-0.037968024611473083,
-2.459555890518583e-33,
-0.08437377214431763,
0.00650272099301219,
-0.03545798733830452,
-0.018725527450442314,
-0.032698631286621094,
-0.14954189956188202,
0.002697668969631195,
0.02558717504143715,
-0.017778484150767326,
-0.015716664493083954,
0.006530363112688065,
-0.007030898705124855,
0.01309521496295929,
0.07554959505796432,
0.03648853302001953,
-0.002754590241238475,
0.0003122262714896351,
-0.07797031104564667,
0.03878623619675636,
0.0025151544250547886,
-0.000022368125428329222,
-0.021967755630612373,
-0.0040989164263010025,
-0.015361269004642963,
-0.017743214964866638,
0.04389001429080963,
0.04973497614264488,
-0.0002390591544099152,
0.00809191633015871,
0.007550752721726894,
-0.0035505322739481926,
-0.1046532690525055,
-0.0838523805141449,
0.023222917690873146,
-0.07793118059635162,
0.00940612517297268,
0.05427340045571327,
0.012529651634395123,
-0.016498487442731857,
0.039988983422517776,
-0.029137471690773964,
-0.0026736115105450153,
-0.008915994316339493,
-0.020240163430571556,
0.023627670481801033,
-0.026407690718770027,
0.0030898142140358686,
0.001126487972214818,
0.020903144031763077,
-0.05004531145095825,
0.0452873557806015,
0.027570895850658417,
0.03703674301505089,
0.052611008286476135,
-0.12679177522659302,
0.036069605499506,
-0.02472798526287079,
-0.026637766510248184,
0.07633759081363678,
0.0037704422138631344,
-0.022111354395747185,
-0.04613650217652321,
-0.017112040892243385,
-0.004637708887457848,
-0.0044467332772910595,
-0.09490552544593811,
-0.028453972190618515,
-0.019203728064894676,
-0.035559237003326416,
-0.009177085943520069,
0.03635755553841591,
-0.057630788534879684,
-0.00958484597504139,
0.08838971704244614,
0.05053257942199707,
0.03357091173529625,
0.07551383972167969,
-0.050442568957805634,
0.02417300082743168,
-0.027259472757577896,
-0.03032098524272442,
0.0269898883998394,
-0.010190701112151146,
0.07895267754793167,
0.02856127917766571,
0.05333125963807106,
-0.05942455306649208,
0.00695200776681304,
0.02689221501350403,
-0.09977112710475922,
0.08459680527448654,
0.013387776911258698,
0.026670148596167564,
0.0762440636754036,
0.0617290660738945,
-3.6633455380297164e-8,
-0.08088447153568268,
-0.03343449905514717,
-0.046162668615579605,
0.011598787270486355,
0.08958154171705246,
-0.06284356862306595,
0.007535880897194147,
0.05158790200948715,
-0.09176591038703918,
0.036687206476926804,
0.002108178799971938,
0.011025883257389069,
-0.10612686723470688,
-0.0442974828183651,
-0.0037035492714494467,
0.035821583122015,
-0.006743187550455332,
0.026537133380770683,
-0.007574071642011404,
-0.0016122403321787715,
0.10360163450241089,
0.04271671175956726,
0.011017574928700924,
0.0691651850938797,
-0.04883107170462608,
0.03712642565369606,
0.01108874287456274,
-0.010870302096009254,
0.05771704018115997,
0.00947683397680521,
0.04366473853588104,
0.08998426795005798,
0.03217413276433945,
0.0412958487868309,
-0.02565353736281395,
0.009413138031959534,
-0.008072802796959877,
-0.09083609282970428,
-0.0281694233417511,
0.07244043052196503,
0.037712421268224716,
0.05660611018538475,
-0.03740932419896126,
0.06716198474168777,
0.054698795080184937,
0.0426032692193985,
0.006640745792537928,
-0.04240873083472252,
0.034761715680360794,
0.036891378462314606,
-0.019862782210111618,
-0.0383308082818985,
-0.08068332821130753,
0.0633912980556488,
-0.020753704011440277,
0.01911405473947525,
-0.04831058531999588,
-0.014230933971703053,
-0.004542111419141293,
-0.004700809717178345,
0.06302102655172348,
0.055528510361909866,
-0.00015424769662786275,
0.005239582620561123
] | null | null | null | null | null | null | null | [
-0.06824017316102982,
-0.060927797108888626,
-0.08481843769550323,
0.06593944132328033,
-0.05213804915547371,
0.10867176204919815,
0.033960603177547455,
-0.020773954689502716,
0.10927273333072662,
-0.06254874914884567,
0.05303123593330383,
0.013099310919642448,
0.021349452435970306,
0.09521389752626419,
0.00444919615983963,
0.011921894736588001,
0.05268016457557678,
0.03072896972298622,
-0.04543101415038109,
-0.017002886161208153,
0.007906434126198292,
0.0653548389673233,
-0.014232837595045567,
-0.06472197920084,
0.027156705036759377,
-0.012280922383069992,
0.016843270510435104,
-0.0006503905751742423,
0.025208234786987305,
-0.038584932684898376,
0.03729578107595444,
0.0767866000533104,
0.0054659657180309296,
0.08372750878334045,
-0.029174258932471275,
0.029070096090435982,
-0.03490608558058739,
-0.05070886015892029,
-0.01928294263780117,
-0.022881677374243736,
-0.008930722251534462,
0.05540706217288971,
-0.013210156932473183,
0.05506351962685585,
0.06374046951532364,
-0.03347565978765488,
0.02940739132463932,
-0.012408493086695671,
-0.04668991267681122,
-0.10475444048643112,
-0.05598613992333412,
0.06700199097394943,
0.014385819435119629,
0.08264636993408203,
-0.04141815006732941,
-0.08325491845607758,
0.035982903093099594,
-0.02020527422428131,
-0.06195429712533951,
-0.08874208480119705,
-0.1003226637840271,
-0.02976018376648426,
-0.024203015491366386,
0.027476731687784195,
0.08953641355037689,
0.030500013381242752,
0.003902436001226306,
0.06933694332838058,
-0.02959364280104637,
0.017207155004143715,
-0.11246322095394135,
0.04700324311852455,
-0.05116477981209755,
0.026780560612678528,
-0.007069012150168419,
0.01403979491442442,
0.07831091433763504,
0.051459409296512604,
0.06844320148229599,
0.0016022964846342802,
0.00762167340144515,
-0.018254654482007027,
0.047173094004392624,
0.054765574634075165,
0.09652456641197205,
0.05290145426988602,
-0.03649435192346573,
-0.04004455357789993,
-0.009632257744669914,
-0.056173522025346756,
-0.021704424172639847,
-0.0772167444229126,
0.05178816244006157,
0.03897862881422043,
0.014747532084584236,
0.03617366775870323,
0.04366447404026985,
-0.021472258493304253,
0.07365373522043228,
-0.004411227069795132,
0.07907979190349579,
0.024780621752142906,
0.014854179695248604,
-0.04195787012577057,
-0.04111408069729805,
-0.007383763324469328,
-0.02986876480281353,
-0.002445327118039131,
0.0069197299890220165,
-0.06985677033662796,
0.005651457235217094,
-0.04290643706917763,
-0.03606512024998665,
0.04922564700245857,
-0.05094580724835396,
-0.01082308404147625,
0.02587888203561306,
0.016267022117972374,
0.025124380365014076,
-0.06139844283461571,
-0.05699530616402626,
0.06235890090465546,
0.041487738490104675,
0.016610942780971527,
-0.0056708320043981075,
-0.004362521693110466,
-0.1096220314502716,
1.0774312141633344e-33,
-0.01991184987127781,
0.036939170211553574,
-0.08027569949626923,
0.05549982562661171,
0.03890203684568405,
0.01601294055581093,
0.08816840499639511,
0.013855312950909138,
-0.011683178134262562,
-0.06325601041316986,
0.014444013126194477,
0.08848457783460617,
0.007929581217467785,
-0.005814071279019117,
-0.036023691296577454,
0.0421002060174942,
-0.02031848020851612,
0.07575616985559464,
-0.05405807122588158,
-0.10043980181217194,
0.03662881627678871,
0.0634697675704956,
0.0027060669381171465,
-0.0008901715627871454,
-0.009251473471522331,
-0.011962635442614555,
0.09203100204467773,
-0.07955937087535858,
-0.1379966139793396,
-0.004812596831470728,
-0.1249987781047821,
0.069377101957798,
-0.013521244749426842,
-0.0012230752035975456,
0.03548510745167732,
-0.006468797102570534,
0.002677543554455042,
0.004610843025147915,
-0.004448025021702051,
-0.11803721636533737,
-0.026531698182225227,
0.031520530581474304,
0.029402127489447594,
-0.09465382248163223,
-0.11400089412927628,
-0.009566356427967548,
0.05536257475614548,
-0.07083858549594879,
0.025616934522986412,
-0.08870963007211685,
0.06038745865225792,
-0.024746617302298546,
-0.09929534792900085,
0.044989749789237976,
0.09074040502309799,
-0.00036840210668742657,
-0.008183195255696774,
0.08313484489917755,
-0.0033915629610419273,
0.0427669920027256,
-0.03684022277593613,
0.06342145055532455,
0.09142407774925232,
-0.006908527109771967,
0.02970384620130062,
-0.012672550976276398,
-0.07941579818725586,
0.013401508331298828,
0.08733566850423813,
0.12643074989318848,
0.03592047467827797,
0.009414071217179298,
0.046791933476924896,
-0.046063173562288284,
0.04251367598772049,
-0.061679527163505554,
-0.008301658555865288,
-0.13378915190696716,
-0.01476169191300869,
0.03987518325448036,
0.0077083720825612545,
-0.08844061940908432,
0.012744689360260963,
0.00658651115372777,
-0.05429045855998993,
-0.09629441797733307,
-0.01926432177424431,
-0.11178798973560333,
0.03502121567726135,
-0.08069625496864319,
-0.006761275697499514,
-0.050669245421886444,
0.025190403684973717,
-0.057771194726228714,
-0.037968024611473083,
-2.459555890518583e-33,
-0.08437377214431763,
0.00650272099301219,
-0.03545798733830452,
-0.018725527450442314,
-0.032698631286621094,
-0.14954189956188202,
0.002697668969631195,
0.02558717504143715,
-0.017778484150767326,
-0.015716664493083954,
0.006530363112688065,
-0.007030898705124855,
0.01309521496295929,
0.07554959505796432,
0.03648853302001953,
-0.002754590241238475,
0.0003122262714896351,
-0.07797031104564667,
0.03878623619675636,
0.0025151544250547886,
-0.000022368125428329222,
-0.021967755630612373,
-0.0040989164263010025,
-0.015361269004642963,
-0.017743214964866638,
0.04389001429080963,
0.04973497614264488,
-0.0002390591544099152,
0.00809191633015871,
0.007550752721726894,
-0.0035505322739481926,
-0.1046532690525055,
-0.0838523805141449,
0.023222917690873146,
-0.07793118059635162,
0.00940612517297268,
0.05427340045571327,
0.012529651634395123,
-0.016498487442731857,
0.039988983422517776,
-0.029137471690773964,
-0.0026736115105450153,
-0.008915994316339493,
-0.020240163430571556,
0.023627670481801033,
-0.026407690718770027,
0.0030898142140358686,
0.001126487972214818,
0.020903144031763077,
-0.05004531145095825,
0.0452873557806015,
0.027570895850658417,
0.03703674301505089,
0.052611008286476135,
-0.12679177522659302,
0.036069605499506,
-0.02472798526287079,
-0.026637766510248184,
0.07633759081363678,
0.0037704422138631344,
-0.022111354395747185,
-0.04613650217652321,
-0.017112040892243385,
-0.004637708887457848,
-0.0044467332772910595,
-0.09490552544593811,
-0.028453972190618515,
-0.019203728064894676,
-0.035559237003326416,
-0.009177085943520069,
0.03635755553841591,
-0.057630788534879684,
-0.00958484597504139,
0.08838971704244614,
0.05053257942199707,
0.03357091173529625,
0.07551383972167969,
-0.050442568957805634,
0.02417300082743168,
-0.027259472757577896,
-0.03032098524272442,
0.0269898883998394,
-0.010190701112151146,
0.07895267754793167,
0.02856127917766571,
0.05333125963807106,
-0.05942455306649208,
0.00695200776681304,
0.02689221501350403,
-0.09977112710475922,
0.08459680527448654,
0.013387776911258698,
0.026670148596167564,
0.0762440636754036,
0.0617290660738945,
-3.6633455380297164e-8,
-0.08088447153568268,
-0.03343449905514717,
-0.046162668615579605,
0.011598787270486355,
0.08958154171705246,
-0.06284356862306595,
0.007535880897194147,
0.05158790200948715,
-0.09176591038703918,
0.036687206476926804,
0.002108178799971938,
0.011025883257389069,
-0.10612686723470688,
-0.0442974828183651,
-0.0037035492714494467,
0.035821583122015,
-0.006743187550455332,
0.026537133380770683,
-0.007574071642011404,
-0.0016122403321787715,
0.10360163450241089,
0.04271671175956726,
0.011017574928700924,
0.0691651850938797,
-0.04883107170462608,
0.03712642565369606,
0.01108874287456274,
-0.010870302096009254,
0.05771704018115997,
0.00947683397680521,
0.04366473853588104,
0.08998426795005798,
0.03217413276433945,
0.0412958487868309,
-0.02565353736281395,
0.009413138031959534,
-0.008072802796959877,
-0.09083609282970428,
-0.0281694233417511,
0.07244043052196503,
0.037712421268224716,
0.05660611018538475,
-0.03740932419896126,
0.06716198474168777,
0.054698795080184937,
0.0426032692193985,
0.006640745792537928,
-0.04240873083472252,
0.034761715680360794,
0.036891378462314606,
-0.019862782210111618,
-0.0383308082818985,
-0.08068332821130753,
0.0633912980556488,
-0.020753704011440277,
0.01911405473947525,
-0.04831058531999588,
-0.014230933971703053,
-0.004542111419141293,
-0.004700809717178345,
0.06302102655172348,
0.055528510361909866,
-0.00015424769662786275,
0.005239582620561123
] |
1401.1736 | Emanuel A. Lazar | Emanuel A. Lazar, Jeremy K. Mason, Robert D. MacPherson, David J.
Srolovitz | Statistical Topology of Three-Dimensional Poisson-Voronoi Cells and Cell
Boundary Networks | 15 pages, 19 figures, Supplemental Material included | Phys. Rev. E 88, 063309 (2013) | 10.1103/PhysRevE.88.063309 | null | physics.comp-ph cond-mat.dis-nn cond-mat.soft | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Voronoi tessellations of Poisson point processes are widely used for modeling
many types of physical and biological systems. In this paper, we analyze
simulated Poisson-Voronoi structures containing a total of 250,000,000 cells to
provide topological and geometrical statistics of this important class of
networks. We also report correlations between some of these topological and
geometrical measures. Using these results, we are able to corroborate several
conjectures regarding the properties of three-dimensional Poisson-Voronoi
networks and refute others. In many cases, we provide accurate fits to these
data to aid further analysis. We also demonstrate that topological measures
represent powerful tools for describing cellular networks and for
distinguishing among different types of networks.
| [
{
"created": "Wed, 8 Jan 2014 16:05:50 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Lazar",
"Emanuel A.",
""
],
[
"Mason",
"Jeremy K.",
""
],
[
"MacPherson",
"Robert D.",
""
],
[
"Srolovitz",
"David J.",
""
]
] | [
-0.0006597276078537107,
-0.06469176709651947,
-0.0023548209574073553,
-0.06726996600627899,
-0.0638059452176094,
-0.06218748167157173,
0.013956556096673012,
-0.06331253051757812,
0.14453177154064178,
-0.03781662508845329,
0.017435407266020775,
-0.0034149899147450924,
0.0049816095270216465,
0.05812637880444527,
-0.007599725853651762,
-0.041368670761585236,
-0.011669457890093327,
-0.058745257556438446,
-0.01715017296373844,
-0.006509160622954369,
0.010350466705858707,
0.02557332068681717,
-0.034781720489263535,
-0.03776927664875984,
0.047425977885723114,
0.0033304020762443542,
-0.017815381288528442,
0.02511022798717022,
-0.0036083650775253773,
-0.028775392100214958,
0.0592426061630249,
0.03395251929759979,
-0.012411877512931824,
-0.037650443613529205,
0.06716785579919815,
-0.00876826886087656,
-0.04115026071667671,
0.0014652061508968472,
0.006983884610235691,
0.0706387609243393,
0.060027509927749634,
0.03702560067176819,
0.08915829658508301,
0.068580262362957,
0.014177423901855946,
0.039463602006435394,
-0.016756076365709305,
-0.03686494380235672,
-0.03553047031164169,
-0.08501530438661575,
-0.02096785046160221,
-0.029168469831347466,
-0.03999679908156395,
-0.008093705400824547,
0.003569812048226595,
0.011567972600460052,
0.0056192209012806416,
-0.05581284314393997,
0.04576339200139046,
-0.07381880283355713,
0.1415741890668869,
0.006213253363966942,
-0.03984677419066429,
0.03011520951986313,
-0.04085475206375122,
0.0014999574050307274,
-0.007782050874084234,
0.041313331574201584,
0.012058393098413944,
0.024783967062830925,
0.016317088156938553,
0.11199407279491425,
-0.049119628965854645,
-0.01033188495784998,
0.07012776285409927,
0.03644604980945587,
-0.07343123108148575,
-0.034495942294597626,
-0.05215105786919594,
-0.04505276307463646,
0.010435402393341064,
0.04185520112514496,
0.07901304215192795,
0.0370623916387558,
-0.025581244379281998,
0.01522952038794756,
-0.06738213449716568,
0.012760475277900696,
-0.048041652888059616,
-0.04607100412249565,
-0.04487941786646843,
0.06510157138109207,
-0.02596772275865078,
-0.019492363557219505,
-0.0972716435790062,
0.04344523325562477,
-0.02425462193787098,
-0.04259724169969559,
0.07389815151691437,
0.030069585889577866,
-0.03921825811266899,
-0.1450139880180359,
0.05611984059214592,
0.038092099130153656,
0.08893164992332458,
0.010085119865834713,
0.06976527720689774,
0.050139524042606354,
0.0337921604514122,
0.019223999232053757,
0.00467254500836134,
-0.05241282284259796,
0.01770539954304695,
0.0688030794262886,
-0.03832462802529335,
-0.048437029123306274,
0.012882568873465061,
-0.009601014666259289,
0.0969311073422432,
0.059936437755823135,
-0.0354064516723156,
-0.04517294839024544,
-0.06770680099725723,
-0.04714929312467575,
0.06985155493021011,
0.064963199198246,
0.02892332524061203,
7.789614435460474e-34,
0.04917966574430466,
-0.023248793557286263,
0.08874114602804184,
0.04614407941699028,
0.1310613453388214,
-0.036070965230464935,
-0.06348364800214767,
-0.14840343594551086,
0.11545488983392715,
0.01932571455836296,
-0.11087341606616974,
0.023052088916301727,
-0.01657061278820038,
0.013177278451621532,
0.06202470138669014,
-0.021195780485868454,
0.0037672254256904125,
-0.014291394501924515,
-0.01680902950465679,
-0.005110227037221193,
0.03460788354277611,
-0.03356132283806801,
0.0031393778044730425,
0.0012417207472026348,
-0.005413107108324766,
-0.005668332800269127,
-0.07480405271053314,
-0.07013615220785141,
-0.02759716287255287,
0.03879866376519203,
-0.004915835335850716,
0.07255444675683975,
-0.003425814211368561,
0.06657420098781586,
-0.02444365993142128,
0.06434271484613419,
-0.022916279733181,
-0.054714471101760864,
-0.06883569806814194,
-0.08867710083723068,
-0.0518476776778698,
-0.014108331874012947,
-0.011723075062036514,
-0.04429280012845993,
0.004346461966633797,
-0.01859782636165619,
0.041470155119895935,
0.045978616923093796,
0.004740891978144646,
-0.03084787353873253,
0.02721346542239189,
0.022595420479774475,
0.0209993664175272,
-0.014429207891225815,
0.008924555033445358,
0.05286109447479248,
-0.021274644881486893,
-0.005114351399242878,
0.085460364818573,
0.13228577375411987,
0.007924097590148449,
-0.013867893256247044,
0.00518088648095727,
-0.04458826035261154,
0.03328314796090126,
0.004125092178583145,
-0.002395657356828451,
0.0021340392995625734,
0.10308244079351425,
0.044183697551488876,
0.002615840407088399,
-0.018471885472536087,
-0.05342473089694977,
-0.08717998117208481,
0.009960094466805458,
0.03271736204624176,
-0.06541445106267929,
-0.056429166346788406,
-0.06439748406410217,
0.028288699686527252,
-0.039071254432201385,
-0.12542983889579773,
-0.044423867017030716,
-0.0720846876502037,
0.009253356605768204,
-0.024692784994840622,
0.04154228791594505,
0.026402492076158524,
-0.03536427393555641,
-0.012021830305457115,
-0.0030631700064986944,
-0.016738321632146835,
0.0240304134786129,
0.015627950429916382,
-0.03713391721248627,
-1.848513539481011e-33,
-0.11672057211399078,
0.018908565863966942,
0.015731625258922577,
-0.016379961743950844,
0.013207674026489258,
-0.006070463452488184,
-0.07890317589044571,
0.01782120391726494,
-0.01388780027627945,
0.0075148832984268665,
-0.043942876160144806,
0.06623539328575134,
-0.016652489081025124,
-0.02830934338271618,
0.006512569263577461,
-0.0313284657895565,
0.058176927268505096,
-0.14174693822860718,
-0.014503071084618568,
-0.026073874905705452,
-0.04673217982053757,
-0.04391136020421982,
-0.02158268913626671,
-0.026617733761668205,
-0.03213874250650406,
0.06160586699843407,
-0.03602754697203636,
-0.04511156678199768,
0.010754822753369808,
0.08067429065704346,
-0.07830952852964401,
-0.031351760029792786,
-0.00718889944255352,
0.07019908726215363,
0.021848730742931366,
0.02350911684334278,
0.09271577000617981,
0.053481630980968475,
0.024873314425349236,
-0.1086372658610344,
0.04295133426785469,
-0.051190488040447235,
-0.010493318550288677,
0.0225526113063097,
0.05416521430015564,
0.03509813919663429,
0.029234396293759346,
-0.01865479350090027,
-0.10041709989309311,
-0.023985762149095535,
-0.06341458112001419,
0.10064580291509628,
-0.002085006795823574,
0.0562501884996891,
0.02932407334446907,
0.033063579350709915,
-0.01477745734155178,
-0.04028650373220444,
0.0495067797601223,
-0.0892716497182846,
-0.08354216068983078,
-0.11413196474313736,
-0.0512378104031086,
0.16025857627391815,
-0.0011597885750234127,
0.00153575639706105,
-0.0003633180749602616,
-0.016869498416781425,
-0.07842195779085159,
0.08730562776327133,
-0.047725971788167953,
0.06228660047054291,
-0.03490414842963219,
-0.07210326194763184,
-0.04171738401055336,
-0.05424731597304344,
0.018571658059954643,
0.010829141363501549,
0.02046101726591587,
0.03100983239710331,
-0.03608649969100952,
0.002942260354757309,
0.0007389779784716666,
-0.02365521527826786,
0.08516150712966919,
-0.007800833322107792,
0.04852939397096634,
0.044351402670145035,
0.03096451796591282,
0.06501252204179764,
0.046195339411497116,
-0.00655567878857255,
-0.023908386006951332,
0.009929144755005836,
0.020028356462717056,
-3.58523202237393e-8,
-0.04477750137448311,
0.002808448625728488,
0.031440846621990204,
-0.10128463059663773,
0.00416724756360054,
-0.00850669201463461,
0.02813301607966423,
0.1456049233675003,
0.011784588918089867,
0.07144422829151154,
0.06981201469898224,
0.019089192152023315,
-0.020309707149863243,
0.013587605208158493,
0.0023784758523106575,
0.09684570133686066,
0.042827848345041275,
-0.034909967333078384,
0.032184090465307236,
-0.001959724584594369,
-0.0835481733083725,
0.020435085520148277,
-0.03367237374186516,
0.08877428621053696,
0.0023991032503545284,
0.01925937458872795,
-0.07172951102256775,
-0.08975990116596222,
-0.0011730194091796875,
-0.02505706064403057,
0.02156027778983116,
0.029949745163321495,
0.022928297519683838,
0.04486171156167984,
-0.04937633499503136,
0.033233582973480225,
0.012006922625005245,
-0.02245463617146015,
-0.03577069938182831,
-0.0398295521736145,
-0.03006572276353836,
-0.012387553229928017,
0.023622050881385803,
-0.018763480708003044,
0.1347489356994629,
0.10026849806308746,
0.0693502277135849,
0.051520589739084244,
0.015205799601972103,
-0.03634638339281082,
-0.08478233963251114,
0.009068558923900127,
-0.02555040828883648,
-0.0015948816435411572,
-0.0323454886674881,
0.0024184526409953833,
-0.021909493952989578,
-0.07667762041091919,
0.07913646101951599,
0.02661839872598648,
-0.04537006840109825,
0.01117003709077835,
-0.025683198124170303,
-0.05648993328213692
] | null | null | null | null | null | null | null | [
-0.0006597276078537107,
-0.06469176709651947,
-0.0023548209574073553,
-0.06726996600627899,
-0.0638059452176094,
-0.06218748167157173,
0.013956556096673012,
-0.06331253051757812,
0.14453177154064178,
-0.03781662508845329,
0.017435407266020775,
-0.0034149899147450924,
0.0049816095270216465,
0.05812637880444527,
-0.007599725853651762,
-0.041368670761585236,
-0.011669457890093327,
-0.058745257556438446,
-0.01715017296373844,
-0.006509160622954369,
0.010350466705858707,
0.02557332068681717,
-0.034781720489263535,
-0.03776927664875984,
0.047425977885723114,
0.0033304020762443542,
-0.017815381288528442,
0.02511022798717022,
-0.0036083650775253773,
-0.028775392100214958,
0.0592426061630249,
0.03395251929759979,
-0.012411877512931824,
-0.037650443613529205,
0.06716785579919815,
-0.00876826886087656,
-0.04115026071667671,
0.0014652061508968472,
0.006983884610235691,
0.0706387609243393,
0.060027509927749634,
0.03702560067176819,
0.08915829658508301,
0.068580262362957,
0.014177423901855946,
0.039463602006435394,
-0.016756076365709305,
-0.03686494380235672,
-0.03553047031164169,
-0.08501530438661575,
-0.02096785046160221,
-0.029168469831347466,
-0.03999679908156395,
-0.008093705400824547,
0.003569812048226595,
0.011567972600460052,
0.0056192209012806416,
-0.05581284314393997,
0.04576339200139046,
-0.07381880283355713,
0.1415741890668869,
0.006213253363966942,
-0.03984677419066429,
0.03011520951986313,
-0.04085475206375122,
0.0014999574050307274,
-0.007782050874084234,
0.041313331574201584,
0.012058393098413944,
0.024783967062830925,
0.016317088156938553,
0.11199407279491425,
-0.049119628965854645,
-0.01033188495784998,
0.07012776285409927,
0.03644604980945587,
-0.07343123108148575,
-0.034495942294597626,
-0.05215105786919594,
-0.04505276307463646,
0.010435402393341064,
0.04185520112514496,
0.07901304215192795,
0.0370623916387558,
-0.025581244379281998,
0.01522952038794756,
-0.06738213449716568,
0.012760475277900696,
-0.048041652888059616,
-0.04607100412249565,
-0.04487941786646843,
0.06510157138109207,
-0.02596772275865078,
-0.019492363557219505,
-0.0972716435790062,
0.04344523325562477,
-0.02425462193787098,
-0.04259724169969559,
0.07389815151691437,
0.030069585889577866,
-0.03921825811266899,
-0.1450139880180359,
0.05611984059214592,
0.038092099130153656,
0.08893164992332458,
0.010085119865834713,
0.06976527720689774,
0.050139524042606354,
0.0337921604514122,
0.019223999232053757,
0.00467254500836134,
-0.05241282284259796,
0.01770539954304695,
0.0688030794262886,
-0.03832462802529335,
-0.048437029123306274,
0.012882568873465061,
-0.009601014666259289,
0.0969311073422432,
0.059936437755823135,
-0.0354064516723156,
-0.04517294839024544,
-0.06770680099725723,
-0.04714929312467575,
0.06985155493021011,
0.064963199198246,
0.02892332524061203,
7.789614435460474e-34,
0.04917966574430466,
-0.023248793557286263,
0.08874114602804184,
0.04614407941699028,
0.1310613453388214,
-0.036070965230464935,
-0.06348364800214767,
-0.14840343594551086,
0.11545488983392715,
0.01932571455836296,
-0.11087341606616974,
0.023052088916301727,
-0.01657061278820038,
0.013177278451621532,
0.06202470138669014,
-0.021195780485868454,
0.0037672254256904125,
-0.014291394501924515,
-0.01680902950465679,
-0.005110227037221193,
0.03460788354277611,
-0.03356132283806801,
0.0031393778044730425,
0.0012417207472026348,
-0.005413107108324766,
-0.005668332800269127,
-0.07480405271053314,
-0.07013615220785141,
-0.02759716287255287,
0.03879866376519203,
-0.004915835335850716,
0.07255444675683975,
-0.003425814211368561,
0.06657420098781586,
-0.02444365993142128,
0.06434271484613419,
-0.022916279733181,
-0.054714471101760864,
-0.06883569806814194,
-0.08867710083723068,
-0.0518476776778698,
-0.014108331874012947,
-0.011723075062036514,
-0.04429280012845993,
0.004346461966633797,
-0.01859782636165619,
0.041470155119895935,
0.045978616923093796,
0.004740891978144646,
-0.03084787353873253,
0.02721346542239189,
0.022595420479774475,
0.0209993664175272,
-0.014429207891225815,
0.008924555033445358,
0.05286109447479248,
-0.021274644881486893,
-0.005114351399242878,
0.085460364818573,
0.13228577375411987,
0.007924097590148449,
-0.013867893256247044,
0.00518088648095727,
-0.04458826035261154,
0.03328314796090126,
0.004125092178583145,
-0.002395657356828451,
0.0021340392995625734,
0.10308244079351425,
0.044183697551488876,
0.002615840407088399,
-0.018471885472536087,
-0.05342473089694977,
-0.08717998117208481,
0.009960094466805458,
0.03271736204624176,
-0.06541445106267929,
-0.056429166346788406,
-0.06439748406410217,
0.028288699686527252,
-0.039071254432201385,
-0.12542983889579773,
-0.044423867017030716,
-0.0720846876502037,
0.009253356605768204,
-0.024692784994840622,
0.04154228791594505,
0.026402492076158524,
-0.03536427393555641,
-0.012021830305457115,
-0.0030631700064986944,
-0.016738321632146835,
0.0240304134786129,
0.015627950429916382,
-0.03713391721248627,
-1.848513539481011e-33,
-0.11672057211399078,
0.018908565863966942,
0.015731625258922577,
-0.016379961743950844,
0.013207674026489258,
-0.006070463452488184,
-0.07890317589044571,
0.01782120391726494,
-0.01388780027627945,
0.0075148832984268665,
-0.043942876160144806,
0.06623539328575134,
-0.016652489081025124,
-0.02830934338271618,
0.006512569263577461,
-0.0313284657895565,
0.058176927268505096,
-0.14174693822860718,
-0.014503071084618568,
-0.026073874905705452,
-0.04673217982053757,
-0.04391136020421982,
-0.02158268913626671,
-0.026617733761668205,
-0.03213874250650406,
0.06160586699843407,
-0.03602754697203636,
-0.04511156678199768,
0.010754822753369808,
0.08067429065704346,
-0.07830952852964401,
-0.031351760029792786,
-0.00718889944255352,
0.07019908726215363,
0.021848730742931366,
0.02350911684334278,
0.09271577000617981,
0.053481630980968475,
0.024873314425349236,
-0.1086372658610344,
0.04295133426785469,
-0.051190488040447235,
-0.010493318550288677,
0.0225526113063097,
0.05416521430015564,
0.03509813919663429,
0.029234396293759346,
-0.01865479350090027,
-0.10041709989309311,
-0.023985762149095535,
-0.06341458112001419,
0.10064580291509628,
-0.002085006795823574,
0.0562501884996891,
0.02932407334446907,
0.033063579350709915,
-0.01477745734155178,
-0.04028650373220444,
0.0495067797601223,
-0.0892716497182846,
-0.08354216068983078,
-0.11413196474313736,
-0.0512378104031086,
0.16025857627391815,
-0.0011597885750234127,
0.00153575639706105,
-0.0003633180749602616,
-0.016869498416781425,
-0.07842195779085159,
0.08730562776327133,
-0.047725971788167953,
0.06228660047054291,
-0.03490414842963219,
-0.07210326194763184,
-0.04171738401055336,
-0.05424731597304344,
0.018571658059954643,
0.010829141363501549,
0.02046101726591587,
0.03100983239710331,
-0.03608649969100952,
0.002942260354757309,
0.0007389779784716666,
-0.02365521527826786,
0.08516150712966919,
-0.007800833322107792,
0.04852939397096634,
0.044351402670145035,
0.03096451796591282,
0.06501252204179764,
0.046195339411497116,
-0.00655567878857255,
-0.023908386006951332,
0.009929144755005836,
0.020028356462717056,
-3.58523202237393e-8,
-0.04477750137448311,
0.002808448625728488,
0.031440846621990204,
-0.10128463059663773,
0.00416724756360054,
-0.00850669201463461,
0.02813301607966423,
0.1456049233675003,
0.011784588918089867,
0.07144422829151154,
0.06981201469898224,
0.019089192152023315,
-0.020309707149863243,
0.013587605208158493,
0.0023784758523106575,
0.09684570133686066,
0.042827848345041275,
-0.034909967333078384,
0.032184090465307236,
-0.001959724584594369,
-0.0835481733083725,
0.020435085520148277,
-0.03367237374186516,
0.08877428621053696,
0.0023991032503545284,
0.01925937458872795,
-0.07172951102256775,
-0.08975990116596222,
-0.0011730194091796875,
-0.02505706064403057,
0.02156027778983116,
0.029949745163321495,
0.022928297519683838,
0.04486171156167984,
-0.04937633499503136,
0.033233582973480225,
0.012006922625005245,
-0.02245463617146015,
-0.03577069938182831,
-0.0398295521736145,
-0.03006572276353836,
-0.012387553229928017,
0.023622050881385803,
-0.018763480708003044,
0.1347489356994629,
0.10026849806308746,
0.0693502277135849,
0.051520589739084244,
0.015205799601972103,
-0.03634638339281082,
-0.08478233963251114,
0.009068558923900127,
-0.02555040828883648,
-0.0015948816435411572,
-0.0323454886674881,
0.0024184526409953833,
-0.021909493952989578,
-0.07667762041091919,
0.07913646101951599,
0.02661839872598648,
-0.04537006840109825,
0.01117003709077835,
-0.025683198124170303,
-0.05648993328213692
] |
1401.1742 | Avinash Bhute | Avinash N Bhute, B. B. Meshram | Content Based Image Indexing and Retrieval | 12 pages | IJGIP 2013 Vol 3 issue 4 | null | null | cs.CV cs.GR cs.IR cs.MM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present the efficient content based image retrieval systems
which employ the color, texture and shape information of images to facilitate
the retrieval process. For efficient feature extraction, we extract the color,
texture and shape feature of images automatically using edge detection which is
widely used in signal processing and image compression. For facilitated the
speedy retrieval we are implements the antipole-tree algorithm for indexing the
images.
| [
{
"created": "Wed, 8 Jan 2014 16:22:09 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Bhute",
"Avinash N",
""
],
[
"Meshram",
"B. B.",
""
]
] | [
-0.001990591175854206,
0.08885938674211502,
-0.010214067064225674,
-0.02141040749847889,
0.07313977181911469,
-0.017552541568875313,
-0.005782751366496086,
-0.021251436322927475,
-0.009681135416030884,
-0.049390144646167755,
-0.004651137627661228,
0.07199560850858688,
0.032283931970596313,
0.06507817655801773,
0.007248623762279749,
-0.007844039238989353,
0.028626911342144012,
0.0698113739490509,
-0.03259602189064026,
-0.07202509790658951,
-0.053145959973335266,
-0.042776137590408325,
-0.019363105297088623,
-0.05475815013051033,
-0.009177710860967636,
0.035963188856840134,
0.016548488289117813,
-0.015398526564240456,
0.07193347811698914,
-0.06789887696504593,
-0.0112755186855793,
-0.041475486010313034,
0.15279176831245422,
0.045496709644794464,
-0.08106443285942078,
0.014356441795825958,
-0.005259578116238117,
-0.028144581243395805,
-0.06751879304647446,
0.004474617540836334,
-0.023207619786262512,
0.04516615346074104,
-0.013406597077846527,
-0.0033615652937442064,
0.04864253103733063,
0.08526686578989029,
-0.12834954261779785,
0.01330593042075634,
0.032263029366731644,
-0.02830081433057785,
-0.008021363988518715,
0.003648626385256648,
-0.11708562821149826,
0.03325774893164635,
0.006089308299124241,
0.009754613973200321,
0.027678146958351135,
-0.029974069446325302,
0.0597398579120636,
0.046119000762701035,
0.06642322987318039,
0.02198987826704979,
0.016042353585362434,
0.009694959037005901,
0.012718543410301208,
0.06044986471533775,
0.06937489658594131,
-0.08285390585660934,
0.06673470139503479,
-0.15262004733085632,
0.01370951347053051,
0.04889936000108719,
-0.014539407566189766,
0.05421309918165207,
-0.03567304089665413,
0.014016919769346714,
0.011858919635415077,
0.04181874543428421,
-0.038518890738487244,
0.01283218339085579,
-0.10073720663785934,
-0.0179525725543499,
0.033729564398527145,
0.028161538764834404,
0.06582524627447128,
0.014798866584897041,
-0.0798744410276413,
-0.026168057695031166,
-0.03877251595258713,
0.020690377801656723,
0.012353114783763885,
0.0027522894088178873,
-0.045699939131736755,
-0.01242579985409975,
-0.022997945547103882,
-0.025699131190776825,
0.04363420233130455,
-0.019493144005537033,
-0.0683627724647522,
0.04865555092692375,
0.03556673601269722,
-0.07751522213220596,
-0.018868541345000267,
-0.024161038920283318,
0.036722488701343536,
0.005953426938503981,
-0.022919880226254463,
-0.004809437785297632,
0.10087166726589203,
-0.044396426528692245,
0.06864351779222488,
-0.02853315696120262,
-0.06856611371040344,
-0.005699246656149626,
-0.029309479519724846,
-0.043274346739053726,
-0.03393954783678055,
0.0026364820078015327,
0.0423458069562912,
-0.030904339626431465,
0.02913791500031948,
-0.02934652380645275,
-0.030292419716715813,
-0.049391526728868484,
0.03647519275546074,
-0.055642783641815186,
-0.07887687534093857,
-2.0375194394398033e-33,
-0.011491423472762108,
-0.01845438964664936,
0.016338376328349113,
-0.055515989661216736,
-0.026117833331227303,
0.03651801496744156,
-0.06611322611570358,
0.02797847054898739,
0.05088375136256218,
0.02144310064613819,
-0.11632628738880157,
-0.014008207246661186,
0.023005295544862747,
0.0027501860167831182,
0.039215654134750366,
-0.07966045290231705,
-0.032329484820365906,
-0.04142145812511444,
0.018009305000305176,
0.034385886043310165,
0.04390724375844002,
-0.05169694870710373,
0.011287967674434185,
-0.0003068507357966155,
-0.04812351614236832,
-0.032133836299180984,
-0.05846644565463066,
-0.08576381951570511,
0.03350057080388069,
0.008878706954419613,
-0.022500062361359596,
-0.033756665885448456,
-0.02711372636258602,
-0.007527032867074013,
-0.015151500701904297,
-0.04365752637386322,
-0.026348622515797615,
0.012091107666492462,
0.017443999648094177,
0.00698411138728261,
0.047189969569444656,
-0.039146117866039276,
0.007076585199683905,
-0.06620344519615173,
-0.02989666722714901,
0.0671563521027565,
0.03175134211778641,
-0.028322692960500717,
-0.005344811826944351,
0.016528407111763954,
0.0705520361661911,
0.000279260944807902,
-0.004266876261681318,
-0.006093691103160381,
0.036329109221696854,
0.05714767053723335,
0.019232401624321938,
0.07176461815834045,
0.03604504466056824,
0.07974902540445328,
0.08563943952322006,
0.011439516209065914,
-0.012708993628621101,
0.033581752330064774,
-0.03453667461872101,
-0.06587807089090347,
0.06865547597408295,
0.014928949065506458,
-0.05378572642803192,
-0.010281541384756565,
0.014948545023798943,
0.02223728783428669,
0.08266319334506989,
-0.10214952379465103,
0.018092844635248184,
-0.03636396676301956,
0.00023438972129952163,
0.000049119567847810686,
0.030917761847376823,
-0.016462979838252068,
-0.07579357177019119,
0.02060694992542267,
0.11889849603176117,
-0.11820057034492493,
0.017221329733729362,
0.016814472153782845,
0.05808338150382042,
-0.0963941141963005,
0.029073020443320274,
-0.05203704163432121,
-0.021091792732477188,
0.13125038146972656,
-0.009548935107886791,
0.025981416925787926,
0.030901459977030754,
1.5540310824359115e-33,
0.0331224724650383,
-0.005350674968212843,
0.027039343491196632,
-0.03998149558901787,
0.05083688721060753,
0.01688169315457344,
-0.0023068690206855536,
-0.016096286475658417,
-0.056470658630132675,
-0.04705214127898216,
0.03828376159071922,
0.019582083448767662,
-0.07499828934669495,
-0.06878672540187836,
-0.04084578529000282,
0.040396735072135925,
-0.05104513838887215,
-0.08363977074623108,
-0.1251230686903,
0.028258582577109337,
-0.10331834107637405,
-0.02876528911292553,
-0.0414230041205883,
0.006787535268813372,
-0.06675579398870468,
0.06284261494874954,
-0.00413620425388217,
-0.059427410364151,
0.03541800379753113,
0.037621043622493744,
-0.012298518791794777,
0.000385013670893386,
0.03404625505208969,
-0.0936017706990242,
0.0076071592047810555,
-0.04829385504126549,
0.0021806959994137287,
-0.0009826273890212178,
-0.004874030593782663,
0.11541493982076645,
0.006196937058120966,
0.04642730951309204,
-0.001844265148974955,
0.016956988722085953,
-0.026913898065686226,
-0.07430906593799591,
-0.04488572105765343,
0.09204600006341934,
-0.015898682177066803,
0.052934400737285614,
0.00856635719537735,
0.011350248008966446,
-0.013565422035753727,
0.03547702357172966,
0.04044317826628685,
0.009471725672483444,
-0.12968355417251587,
0.07008134573698044,
0.07335803657770157,
0.08495364338159561,
0.000967285071965307,
-0.10191381722688675,
-0.09887433052062988,
0.04090932756662369,
0.04579425975680351,
0.018955791369080544,
0.00836272444576025,
-0.03601674363017082,
-0.05144648253917694,
0.05329678952693939,
0.005134114995598793,
-0.009814978577196598,
-0.009386364370584488,
0.00648299278691411,
0.03081510215997696,
0.010468397289514542,
0.041665710508823395,
0.047392338514328,
0.05449952557682991,
0.0008408090798184276,
-0.06758590787649155,
0.07006708532571793,
-0.03767002373933792,
0.06912406533956528,
0.011468864977359772,
0.012171518057584763,
-0.035200197249650955,
-0.08092766255140305,
0.06525379419326782,
-0.06350148469209671,
-0.010554700158536434,
0.016609204933047295,
0.05026709660887718,
0.06795112043619156,
0.08356267213821411,
-3.317537178304519e-8,
-0.007239808328449726,
-0.05296801030635834,
-0.013702263124287128,
-0.0761224627494812,
0.04167906194925308,
0.009961554780602455,
0.06743446737527847,
0.11213205754756927,
-0.061769455671310425,
-0.049934905022382736,
0.07368835061788559,
-0.0786581039428711,
-0.12427376955747604,
0.03428071737289429,
0.02908426709473133,
0.02398977428674698,
0.0294109545648098,
0.04387269914150238,
0.04269956052303314,
0.05901619419455528,
0.0008952527423389256,
-0.022270482033491135,
0.04579102247953415,
0.0041361297480762005,
-0.08871570229530334,
0.024890119209885597,
0.010390646755695343,
0.02213219553232193,
0.10586894303560257,
0.012949774973094463,
-0.07328852266073227,
0.03630431741476059,
0.062753826379776,
0.0037368773482739925,
0.05174367129802704,
0.027946975082159042,
0.011375618167221546,
-0.04709808900952339,
-0.11508915573358536,
0.006118818651884794,
0.054314255714416504,
0.052258241921663284,
0.04620383307337761,
-0.061036381870508194,
0.0244586244225502,
0.01896640472114086,
0.22111628949642181,
0.0543769933283329,
0.0270600076764822,
0.10276594012975693,
-0.031321022659540176,
-0.027709171175956726,
-0.05224890261888504,
0.025658458471298218,
0.022455859929323196,
-0.029893701896071434,
-0.021226271986961365,
0.02036268264055252,
0.0902361199259758,
0.021761896088719368,
-0.03118669055402279,
-0.043267253786325455,
0.042068786919116974,
-0.04947805404663086
] | null | null | null | null | null | null | null | [
-0.001990591175854206,
0.08885938674211502,
-0.010214067064225674,
-0.02141040749847889,
0.07313977181911469,
-0.017552541568875313,
-0.005782751366496086,
-0.021251436322927475,
-0.009681135416030884,
-0.049390144646167755,
-0.004651137627661228,
0.07199560850858688,
0.032283931970596313,
0.06507817655801773,
0.007248623762279749,
-0.007844039238989353,
0.028626911342144012,
0.0698113739490509,
-0.03259602189064026,
-0.07202509790658951,
-0.053145959973335266,
-0.042776137590408325,
-0.019363105297088623,
-0.05475815013051033,
-0.009177710860967636,
0.035963188856840134,
0.016548488289117813,
-0.015398526564240456,
0.07193347811698914,
-0.06789887696504593,
-0.0112755186855793,
-0.041475486010313034,
0.15279176831245422,
0.045496709644794464,
-0.08106443285942078,
0.014356441795825958,
-0.005259578116238117,
-0.028144581243395805,
-0.06751879304647446,
0.004474617540836334,
-0.023207619786262512,
0.04516615346074104,
-0.013406597077846527,
-0.0033615652937442064,
0.04864253103733063,
0.08526686578989029,
-0.12834954261779785,
0.01330593042075634,
0.032263029366731644,
-0.02830081433057785,
-0.008021363988518715,
0.003648626385256648,
-0.11708562821149826,
0.03325774893164635,
0.006089308299124241,
0.009754613973200321,
0.027678146958351135,
-0.029974069446325302,
0.0597398579120636,
0.046119000762701035,
0.06642322987318039,
0.02198987826704979,
0.016042353585362434,
0.009694959037005901,
0.012718543410301208,
0.06044986471533775,
0.06937489658594131,
-0.08285390585660934,
0.06673470139503479,
-0.15262004733085632,
0.01370951347053051,
0.04889936000108719,
-0.014539407566189766,
0.05421309918165207,
-0.03567304089665413,
0.014016919769346714,
0.011858919635415077,
0.04181874543428421,
-0.038518890738487244,
0.01283218339085579,
-0.10073720663785934,
-0.0179525725543499,
0.033729564398527145,
0.028161538764834404,
0.06582524627447128,
0.014798866584897041,
-0.0798744410276413,
-0.026168057695031166,
-0.03877251595258713,
0.020690377801656723,
0.012353114783763885,
0.0027522894088178873,
-0.045699939131736755,
-0.01242579985409975,
-0.022997945547103882,
-0.025699131190776825,
0.04363420233130455,
-0.019493144005537033,
-0.0683627724647522,
0.04865555092692375,
0.03556673601269722,
-0.07751522213220596,
-0.018868541345000267,
-0.024161038920283318,
0.036722488701343536,
0.005953426938503981,
-0.022919880226254463,
-0.004809437785297632,
0.10087166726589203,
-0.044396426528692245,
0.06864351779222488,
-0.02853315696120262,
-0.06856611371040344,
-0.005699246656149626,
-0.029309479519724846,
-0.043274346739053726,
-0.03393954783678055,
0.0026364820078015327,
0.0423458069562912,
-0.030904339626431465,
0.02913791500031948,
-0.02934652380645275,
-0.030292419716715813,
-0.049391526728868484,
0.03647519275546074,
-0.055642783641815186,
-0.07887687534093857,
-2.0375194394398033e-33,
-0.011491423472762108,
-0.01845438964664936,
0.016338376328349113,
-0.055515989661216736,
-0.026117833331227303,
0.03651801496744156,
-0.06611322611570358,
0.02797847054898739,
0.05088375136256218,
0.02144310064613819,
-0.11632628738880157,
-0.014008207246661186,
0.023005295544862747,
0.0027501860167831182,
0.039215654134750366,
-0.07966045290231705,
-0.032329484820365906,
-0.04142145812511444,
0.018009305000305176,
0.034385886043310165,
0.04390724375844002,
-0.05169694870710373,
0.011287967674434185,
-0.0003068507357966155,
-0.04812351614236832,
-0.032133836299180984,
-0.05846644565463066,
-0.08576381951570511,
0.03350057080388069,
0.008878706954419613,
-0.022500062361359596,
-0.033756665885448456,
-0.02711372636258602,
-0.007527032867074013,
-0.015151500701904297,
-0.04365752637386322,
-0.026348622515797615,
0.012091107666492462,
0.017443999648094177,
0.00698411138728261,
0.047189969569444656,
-0.039146117866039276,
0.007076585199683905,
-0.06620344519615173,
-0.02989666722714901,
0.0671563521027565,
0.03175134211778641,
-0.028322692960500717,
-0.005344811826944351,
0.016528407111763954,
0.0705520361661911,
0.000279260944807902,
-0.004266876261681318,
-0.006093691103160381,
0.036329109221696854,
0.05714767053723335,
0.019232401624321938,
0.07176461815834045,
0.03604504466056824,
0.07974902540445328,
0.08563943952322006,
0.011439516209065914,
-0.012708993628621101,
0.033581752330064774,
-0.03453667461872101,
-0.06587807089090347,
0.06865547597408295,
0.014928949065506458,
-0.05378572642803192,
-0.010281541384756565,
0.014948545023798943,
0.02223728783428669,
0.08266319334506989,
-0.10214952379465103,
0.018092844635248184,
-0.03636396676301956,
0.00023438972129952163,
0.000049119567847810686,
0.030917761847376823,
-0.016462979838252068,
-0.07579357177019119,
0.02060694992542267,
0.11889849603176117,
-0.11820057034492493,
0.017221329733729362,
0.016814472153782845,
0.05808338150382042,
-0.0963941141963005,
0.029073020443320274,
-0.05203704163432121,
-0.021091792732477188,
0.13125038146972656,
-0.009548935107886791,
0.025981416925787926,
0.030901459977030754,
1.5540310824359115e-33,
0.0331224724650383,
-0.005350674968212843,
0.027039343491196632,
-0.03998149558901787,
0.05083688721060753,
0.01688169315457344,
-0.0023068690206855536,
-0.016096286475658417,
-0.056470658630132675,
-0.04705214127898216,
0.03828376159071922,
0.019582083448767662,
-0.07499828934669495,
-0.06878672540187836,
-0.04084578529000282,
0.040396735072135925,
-0.05104513838887215,
-0.08363977074623108,
-0.1251230686903,
0.028258582577109337,
-0.10331834107637405,
-0.02876528911292553,
-0.0414230041205883,
0.006787535268813372,
-0.06675579398870468,
0.06284261494874954,
-0.00413620425388217,
-0.059427410364151,
0.03541800379753113,
0.037621043622493744,
-0.012298518791794777,
0.000385013670893386,
0.03404625505208969,
-0.0936017706990242,
0.0076071592047810555,
-0.04829385504126549,
0.0021806959994137287,
-0.0009826273890212178,
-0.004874030593782663,
0.11541493982076645,
0.006196937058120966,
0.04642730951309204,
-0.001844265148974955,
0.016956988722085953,
-0.026913898065686226,
-0.07430906593799591,
-0.04488572105765343,
0.09204600006341934,
-0.015898682177066803,
0.052934400737285614,
0.00856635719537735,
0.011350248008966446,
-0.013565422035753727,
0.03547702357172966,
0.04044317826628685,
0.009471725672483444,
-0.12968355417251587,
0.07008134573698044,
0.07335803657770157,
0.08495364338159561,
0.000967285071965307,
-0.10191381722688675,
-0.09887433052062988,
0.04090932756662369,
0.04579425975680351,
0.018955791369080544,
0.00836272444576025,
-0.03601674363017082,
-0.05144648253917694,
0.05329678952693939,
0.005134114995598793,
-0.009814978577196598,
-0.009386364370584488,
0.00648299278691411,
0.03081510215997696,
0.010468397289514542,
0.041665710508823395,
0.047392338514328,
0.05449952557682991,
0.0008408090798184276,
-0.06758590787649155,
0.07006708532571793,
-0.03767002373933792,
0.06912406533956528,
0.011468864977359772,
0.012171518057584763,
-0.035200197249650955,
-0.08092766255140305,
0.06525379419326782,
-0.06350148469209671,
-0.010554700158536434,
0.016609204933047295,
0.05026709660887718,
0.06795112043619156,
0.08356267213821411,
-3.317537178304519e-8,
-0.007239808328449726,
-0.05296801030635834,
-0.013702263124287128,
-0.0761224627494812,
0.04167906194925308,
0.009961554780602455,
0.06743446737527847,
0.11213205754756927,
-0.061769455671310425,
-0.049934905022382736,
0.07368835061788559,
-0.0786581039428711,
-0.12427376955747604,
0.03428071737289429,
0.02908426709473133,
0.02398977428674698,
0.0294109545648098,
0.04387269914150238,
0.04269956052303314,
0.05901619419455528,
0.0008952527423389256,
-0.022270482033491135,
0.04579102247953415,
0.0041361297480762005,
-0.08871570229530334,
0.024890119209885597,
0.010390646755695343,
0.02213219553232193,
0.10586894303560257,
0.012949774973094463,
-0.07328852266073227,
0.03630431741476059,
0.062753826379776,
0.0037368773482739925,
0.05174367129802704,
0.027946975082159042,
0.011375618167221546,
-0.04709808900952339,
-0.11508915573358536,
0.006118818651884794,
0.054314255714416504,
0.052258241921663284,
0.04620383307337761,
-0.061036381870508194,
0.0244586244225502,
0.01896640472114086,
0.22111628949642181,
0.0543769933283329,
0.0270600076764822,
0.10276594012975693,
-0.031321022659540176,
-0.027709171175956726,
-0.05224890261888504,
0.025658458471298218,
0.022455859929323196,
-0.029893701896071434,
-0.021226271986961365,
0.02036268264055252,
0.0902361199259758,
0.021761896088719368,
-0.03118669055402279,
-0.043267253786325455,
0.042068786919116974,
-0.04947805404663086
] |
1401.1752 | Noreen Jamil | Noreen Jamil, Johannes M\"uller, Christof Lutteroth and Gerald Weber | Speeding up SOR Solvers for Constraint-based GUIs with a Warm-Start
Strategy | null | null | null | null | cs.HC cs.AI cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many computer programs have graphical user interfaces (GUIs), which need good
layout to make efficient use of the available screen real estate. Most GUIs do
not have a fixed layout, but are resizable and able to adapt themselves.
Constraints are a powerful tool for specifying adaptable GUI layouts: they are
used to specify a layout in a general form, and a constraint solver is used to
find a satisfying concrete layout, e.g.\ for a specific GUI size. The
constraint solver has to calculate a new layout every time a GUI is resized or
changed, so it needs to be efficient to ensure a good user experience. One
approach for constraint solvers is based on the Gauss-Seidel algorithm and
successive over-relaxation (SOR).
Our observation is that a solution after resizing or changing is similar in
structure to a previous solution. Thus, our hypothesis is that we can increase
the computational performance of an SOR-based constraint solver if we reuse the
solution of a previous layout to warm-start the solving of a new layout. In
this paper we report on experiments to test this hypothesis experimentally for
three common use cases: big-step resizing, small-step resizing and constraint
change. In our experiments, we measured the solving time for randomly generated
GUI layout specifications of various sizes. For all three cases we found that
the performance is improved if an existing solution is used as a starting
solution for a new layout.
| [
{
"created": "Mon, 6 Jan 2014 10:29:32 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Jamil",
"Noreen",
""
],
[
"Müller",
"Johannes",
""
],
[
"Lutteroth",
"Christof",
""
],
[
"Weber",
"Gerald",
""
]
] | [
-0.01982569321990013,
0.03449229523539543,
0.024306559935212135,
-0.02451547048985958,
0.03153102472424507,
-0.052637144923210144,
-0.0040912507101893425,
0.014844998717308044,
-0.02649841085076332,
-0.06734313815832138,
-0.0372081957757473,
0.025042738765478134,
0.08616117388010025,
0.045862823724746704,
0.0022603305988013744,
-0.08468136191368103,
0.0716598853468895,
0.04779735952615738,
-0.06408435106277466,
-0.020834004506468773,
-0.057494811713695526,
-0.10745074599981308,
-0.07281670719385147,
-0.03661450371146202,
0.030424926429986954,
0.011172564700245857,
0.05204104632139206,
-0.03304895758628845,
0.03177380934357643,
-0.005768527742475271,
0.0470491424202919,
0.09839162975549698,
-0.019193772226572037,
0.002459191018715501,
-0.04064343869686127,
0.0620192289352417,
-0.08177828043699265,
0.006263887509703636,
-0.054405394941568375,
-0.03203627094626427,
-0.17305494844913483,
0.08171255886554718,
0.001582631259225309,
0.039602216333150864,
0.030677923932671547,
-0.013333752751350403,
-0.07120857387781143,
-0.02144678309559822,
-0.056788016110658646,
-0.0034229373559355736,
-0.0406692698597908,
0.022657403722405434,
-0.04152042046189308,
-0.036543108522892,
0.01587182655930519,
-0.0003906414203811437,
0.04610017314553261,
0.030133934691548347,
0.03348839655518532,
0.0743255764245987,
-0.021384531632065773,
-0.03702443093061447,
0.010688350535929203,
0.018517183139920235,
-0.021980421617627144,
0.03500824794173241,
0.014634442515671253,
-0.07018450647592545,
-0.0030842875130474567,
0.04883687198162079,
-0.12975458800792694,
0.034047931432724,
0.025247860699892044,
0.02030576951801777,
-0.01488825399428606,
-0.03012700378894806,
-0.024559471756219864,
0.011334308423101902,
0.024864986538887024,
-0.011753988452255726,
0.01937340572476387,
0.017060771584510803,
-0.03179237246513367,
0.008928350172936916,
0.043188873678445816,
-0.1034620925784111,
0.008635623380541801,
0.012832028791308403,
0.08329641073942184,
0.03821401298046112,
0.08537886291742325,
0.004859393462538719,
0.007273527327924967,
0.018498027697205544,
0.02780379168689251,
-0.024589668959379196,
-0.017701318487524986,
-0.031059948727488518,
-0.06285954266786575,
0.05374310538172722,
0.007160895969718695,
-0.0017659773584455252,
0.08207686245441437,
-0.040188368409872055,
0.023600585758686066,
-0.008728913962841034,
0.02142147906124592,
0.0019533175509423018,
-0.015910234302282333,
-0.061941225081682205,
0.07078173756599426,
-0.008779910393059254,
-0.0033391916658729315,
0.002622365253046155,
-0.017405031248927116,
0.010809420607984066,
0.024845710024237633,
-0.008546612225472927,
0.04143345728516579,
0.011878861114382744,
0.06091613695025444,
0.01683509349822998,
0.008621788583695889,
-0.009383892640471458,
0.05816160514950752,
0.01601104810833931,
-0.09587304294109344,
4.898495814175651e-33,
-0.055462758988142014,
0.01566540077328682,
-0.039330847561359406,
0.10386912524700165,
0.029334446415305138,
0.0472869835793972,
-0.01942778192460537,
0.1338711380958557,
-0.01610419526696205,
-0.026687368750572205,
0.06715508550405502,
0.0413852334022522,
-0.08544723689556122,
0.03231922537088394,
0.1583867222070694,
-0.03697096183896065,
-0.025498835369944572,
0.14920857548713684,
-0.06939774751663208,
-0.06451892852783203,
0.016825811937451363,
-0.08749619126319885,
0.008595973253250122,
0.0024162642657756805,
0.01318670716136694,
0.007453255821019411,
0.01847505383193493,
-0.04265350475907326,
-0.06560202687978745,
-0.07511107623577118,
-0.07829926908016205,
-0.044716183096170425,
-0.019428249448537827,
0.10206454992294312,
-0.026693882420659065,
-0.04948662221431732,
0.04052552208304405,
-0.0530751533806324,
0.06337027251720428,
0.0426303893327713,
-0.1227431520819664,
0.0629567876458168,
0.12740659713745117,
-0.010940613225102425,
-0.009915160946547985,
0.010683553293347359,
0.030985025689005852,
0.11734878271818161,
-0.044092901051044464,
-0.08317259699106216,
-0.047567468136548996,
0.07071954756975174,
0.04589056596159935,
0.005312352906912565,
-0.017377687618136406,
-0.056393954902887344,
-0.002735658548772335,
0.011429985985159874,
0.04023738577961922,
0.09124123305082321,
-0.022143905982375145,
0.009868982248008251,
-0.03924240171909332,
0.028321707621216774,
0.03517744317650795,
0.02025572769343853,
-0.000058581295888870955,
0.012661170214414597,
-0.013350150547921658,
0.04850529506802559,
-0.09127356112003326,
-0.02360014244914055,
-0.01307638268917799,
0.06232810765504837,
-0.0016904666554182768,
-0.022824939340353012,
0.019041141495108604,
0.013580919243395329,
-0.06149853393435478,
-0.06563497334718704,
-0.08540073037147522,
0.07214199006557465,
0.015752121806144714,
0.00009608576510800049,
-0.026742903515696526,
-0.10418234765529633,
0.03752534091472626,
-0.026856202632188797,
-0.01264264713972807,
-0.0564083531498909,
-0.023452814668416977,
-0.056665919721126556,
0.039010483771562576,
-0.0100015914067626,
0.06495005637407303,
-3.919776646287122e-33,
-0.00787948165088892,
-0.11056176573038101,
0.022294828668236732,
0.002922472544014454,
0.0460156686604023,
-0.061706576496362686,
0.009122136980295181,
-0.0390230193734169,
-0.002100734505802393,
-0.1341923177242279,
-0.050020329654216766,
0.06460271775722504,
0.04083108901977539,
0.07071593403816223,
-0.0316503569483757,
0.08519993722438812,
-0.10843634605407715,
0.023389726877212524,
-0.04616527631878853,
-0.02743915654718876,
-0.007235103752464056,
0.0841498002409935,
-0.04019647836685181,
-0.0542043037712574,
0.0011610318906605244,
0.027312807738780975,
0.003066039877012372,
0.04600837081670761,
-0.0066571226343512535,
0.0837937742471695,
-0.02343144826591015,
-0.021363891661167145,
-0.06769032031297684,
0.05002829432487488,
0.09487242996692657,
0.03892875462770462,
-0.0172627791762352,
0.014319189824163914,
-0.005353808403015137,
0.0791882574558258,
0.028082702308893204,
0.027708685025572777,
0.027356881648302078,
0.06670189648866653,
0.05886014178395271,
0.10685024410486221,
-0.08955838531255722,
0.0012190428096801043,
-0.0031727836467325687,
-0.008510427549481392,
-0.04983193427324295,
0.04015394300222397,
0.007620698772370815,
-0.08117284625768661,
-0.03986141458153725,
-0.034722670912742615,
-0.07721295207738876,
-0.03614787757396698,
0.025538722053170204,
-0.08097393810749054,
-0.02608456462621689,
-0.057393744587898254,
0.04834697023034096,
-0.0038798614405095577,
-0.004298679996281862,
-0.0018141096225008368,
-0.00032032528542913496,
-0.03343474119901657,
-0.09680935740470886,
0.03477354347705841,
0.04854445531964302,
-0.07557777315378189,
-0.02817123383283615,
0.050991978496313095,
0.005891536828130484,
0.03564987704157829,
0.11987395584583282,
-0.021169070154428482,
0.02827741764485836,
-0.040221717208623886,
-0.031243590638041496,
0.03300076723098755,
0.02084398828446865,
-0.023304523900151253,
-0.058933619409799576,
0.06764446198940277,
-0.02107357606291771,
0.08025956153869629,
0.07515230774879456,
0.021886281669139862,
-0.04777876287698746,
0.01663121022284031,
0.07048022747039795,
0.049677129834890366,
-0.008496486581861973,
-5.150725712610438e-8,
-0.06142367050051689,
-0.011153623461723328,
-0.010365189984440804,
-0.02838503010571003,
0.050226349383592606,
0.005027167499065399,
0.024447225034236908,
0.026524215936660767,
-0.05408919230103493,
-0.04410962387919426,
0.05612890049815178,
-0.008227557875216007,
0.03174101561307907,
-0.0007076868787407875,
0.0007052292348816991,
0.03377726674079895,
-0.0004979287041351199,
-0.017423352226614952,
-0.03363664075732231,
-0.036008670926094055,
-0.016087748110294342,
0.020977692678570747,
-0.013453826308250427,
0.06076011061668396,
0.019388802349567413,
-0.050251491367816925,
0.004422706086188555,
0.07672208547592163,
0.09903866052627563,
0.028365956619381905,
0.08071238547563553,
-0.036108892410993576,
0.11990754306316376,
0.054799385368824005,
0.04551573097705841,
0.011131269857287407,
-0.09379760175943375,
0.08180029690265656,
0.025524117052555084,
-0.06844362616539001,
-0.030946973711252213,
-0.05298256501555443,
-0.018101586028933525,
0.019070940092206,
0.020717095583677292,
-0.008908937685191631,
0.011996538378298283,
-0.0465383380651474,
0.02007649652659893,
0.011229101568460464,
-0.06772147864103317,
-0.012356171384453773,
-0.0006469868822023273,
-0.019905248656868935,
0.00513834971934557,
-0.022932371124625206,
0.0021150412503629923,
0.06713874638080597,
0.15779083967208862,
0.00896483100950718,
-0.0898108258843422,
0.060883305966854095,
-0.02785097248852253,
-0.009805729612708092
] | null | null | null | null | null | null | null | [
-0.01982569321990013,
0.03449229523539543,
0.024306559935212135,
-0.02451547048985958,
0.03153102472424507,
-0.052637144923210144,
-0.0040912507101893425,
0.014844998717308044,
-0.02649841085076332,
-0.06734313815832138,
-0.0372081957757473,
0.025042738765478134,
0.08616117388010025,
0.045862823724746704,
0.0022603305988013744,
-0.08468136191368103,
0.0716598853468895,
0.04779735952615738,
-0.06408435106277466,
-0.020834004506468773,
-0.057494811713695526,
-0.10745074599981308,
-0.07281670719385147,
-0.03661450371146202,
0.030424926429986954,
0.011172564700245857,
0.05204104632139206,
-0.03304895758628845,
0.03177380934357643,
-0.005768527742475271,
0.0470491424202919,
0.09839162975549698,
-0.019193772226572037,
0.002459191018715501,
-0.04064343869686127,
0.0620192289352417,
-0.08177828043699265,
0.006263887509703636,
-0.054405394941568375,
-0.03203627094626427,
-0.17305494844913483,
0.08171255886554718,
0.001582631259225309,
0.039602216333150864,
0.030677923932671547,
-0.013333752751350403,
-0.07120857387781143,
-0.02144678309559822,
-0.056788016110658646,
-0.0034229373559355736,
-0.0406692698597908,
0.022657403722405434,
-0.04152042046189308,
-0.036543108522892,
0.01587182655930519,
-0.0003906414203811437,
0.04610017314553261,
0.030133934691548347,
0.03348839655518532,
0.0743255764245987,
-0.021384531632065773,
-0.03702443093061447,
0.010688350535929203,
0.018517183139920235,
-0.021980421617627144,
0.03500824794173241,
0.014634442515671253,
-0.07018450647592545,
-0.0030842875130474567,
0.04883687198162079,
-0.12975458800792694,
0.034047931432724,
0.025247860699892044,
0.02030576951801777,
-0.01488825399428606,
-0.03012700378894806,
-0.024559471756219864,
0.011334308423101902,
0.024864986538887024,
-0.011753988452255726,
0.01937340572476387,
0.017060771584510803,
-0.03179237246513367,
0.008928350172936916,
0.043188873678445816,
-0.1034620925784111,
0.008635623380541801,
0.012832028791308403,
0.08329641073942184,
0.03821401298046112,
0.08537886291742325,
0.004859393462538719,
0.007273527327924967,
0.018498027697205544,
0.02780379168689251,
-0.024589668959379196,
-0.017701318487524986,
-0.031059948727488518,
-0.06285954266786575,
0.05374310538172722,
0.007160895969718695,
-0.0017659773584455252,
0.08207686245441437,
-0.040188368409872055,
0.023600585758686066,
-0.008728913962841034,
0.02142147906124592,
0.0019533175509423018,
-0.015910234302282333,
-0.061941225081682205,
0.07078173756599426,
-0.008779910393059254,
-0.0033391916658729315,
0.002622365253046155,
-0.017405031248927116,
0.010809420607984066,
0.024845710024237633,
-0.008546612225472927,
0.04143345728516579,
0.011878861114382744,
0.06091613695025444,
0.01683509349822998,
0.008621788583695889,
-0.009383892640471458,
0.05816160514950752,
0.01601104810833931,
-0.09587304294109344,
4.898495814175651e-33,
-0.055462758988142014,
0.01566540077328682,
-0.039330847561359406,
0.10386912524700165,
0.029334446415305138,
0.0472869835793972,
-0.01942778192460537,
0.1338711380958557,
-0.01610419526696205,
-0.026687368750572205,
0.06715508550405502,
0.0413852334022522,
-0.08544723689556122,
0.03231922537088394,
0.1583867222070694,
-0.03697096183896065,
-0.025498835369944572,
0.14920857548713684,
-0.06939774751663208,
-0.06451892852783203,
0.016825811937451363,
-0.08749619126319885,
0.008595973253250122,
0.0024162642657756805,
0.01318670716136694,
0.007453255821019411,
0.01847505383193493,
-0.04265350475907326,
-0.06560202687978745,
-0.07511107623577118,
-0.07829926908016205,
-0.044716183096170425,
-0.019428249448537827,
0.10206454992294312,
-0.026693882420659065,
-0.04948662221431732,
0.04052552208304405,
-0.0530751533806324,
0.06337027251720428,
0.0426303893327713,
-0.1227431520819664,
0.0629567876458168,
0.12740659713745117,
-0.010940613225102425,
-0.009915160946547985,
0.010683553293347359,
0.030985025689005852,
0.11734878271818161,
-0.044092901051044464,
-0.08317259699106216,
-0.047567468136548996,
0.07071954756975174,
0.04589056596159935,
0.005312352906912565,
-0.017377687618136406,
-0.056393954902887344,
-0.002735658548772335,
0.011429985985159874,
0.04023738577961922,
0.09124123305082321,
-0.022143905982375145,
0.009868982248008251,
-0.03924240171909332,
0.028321707621216774,
0.03517744317650795,
0.02025572769343853,
-0.000058581295888870955,
0.012661170214414597,
-0.013350150547921658,
0.04850529506802559,
-0.09127356112003326,
-0.02360014244914055,
-0.01307638268917799,
0.06232810765504837,
-0.0016904666554182768,
-0.022824939340353012,
0.019041141495108604,
0.013580919243395329,
-0.06149853393435478,
-0.06563497334718704,
-0.08540073037147522,
0.07214199006557465,
0.015752121806144714,
0.00009608576510800049,
-0.026742903515696526,
-0.10418234765529633,
0.03752534091472626,
-0.026856202632188797,
-0.01264264713972807,
-0.0564083531498909,
-0.023452814668416977,
-0.056665919721126556,
0.039010483771562576,
-0.0100015914067626,
0.06495005637407303,
-3.919776646287122e-33,
-0.00787948165088892,
-0.11056176573038101,
0.022294828668236732,
0.002922472544014454,
0.0460156686604023,
-0.061706576496362686,
0.009122136980295181,
-0.0390230193734169,
-0.002100734505802393,
-0.1341923177242279,
-0.050020329654216766,
0.06460271775722504,
0.04083108901977539,
0.07071593403816223,
-0.0316503569483757,
0.08519993722438812,
-0.10843634605407715,
0.023389726877212524,
-0.04616527631878853,
-0.02743915654718876,
-0.007235103752464056,
0.0841498002409935,
-0.04019647836685181,
-0.0542043037712574,
0.0011610318906605244,
0.027312807738780975,
0.003066039877012372,
0.04600837081670761,
-0.0066571226343512535,
0.0837937742471695,
-0.02343144826591015,
-0.021363891661167145,
-0.06769032031297684,
0.05002829432487488,
0.09487242996692657,
0.03892875462770462,
-0.0172627791762352,
0.014319189824163914,
-0.005353808403015137,
0.0791882574558258,
0.028082702308893204,
0.027708685025572777,
0.027356881648302078,
0.06670189648866653,
0.05886014178395271,
0.10685024410486221,
-0.08955838531255722,
0.0012190428096801043,
-0.0031727836467325687,
-0.008510427549481392,
-0.04983193427324295,
0.04015394300222397,
0.007620698772370815,
-0.08117284625768661,
-0.03986141458153725,
-0.034722670912742615,
-0.07721295207738876,
-0.03614787757396698,
0.025538722053170204,
-0.08097393810749054,
-0.02608456462621689,
-0.057393744587898254,
0.04834697023034096,
-0.0038798614405095577,
-0.004298679996281862,
-0.0018141096225008368,
-0.00032032528542913496,
-0.03343474119901657,
-0.09680935740470886,
0.03477354347705841,
0.04854445531964302,
-0.07557777315378189,
-0.02817123383283615,
0.050991978496313095,
0.005891536828130484,
0.03564987704157829,
0.11987395584583282,
-0.021169070154428482,
0.02827741764485836,
-0.040221717208623886,
-0.031243590638041496,
0.03300076723098755,
0.02084398828446865,
-0.023304523900151253,
-0.058933619409799576,
0.06764446198940277,
-0.02107357606291771,
0.08025956153869629,
0.07515230774879456,
0.021886281669139862,
-0.04777876287698746,
0.01663121022284031,
0.07048022747039795,
0.049677129834890366,
-0.008496486581861973,
-5.150725712610438e-8,
-0.06142367050051689,
-0.011153623461723328,
-0.010365189984440804,
-0.02838503010571003,
0.050226349383592606,
0.005027167499065399,
0.024447225034236908,
0.026524215936660767,
-0.05408919230103493,
-0.04410962387919426,
0.05612890049815178,
-0.008227557875216007,
0.03174101561307907,
-0.0007076868787407875,
0.0007052292348816991,
0.03377726674079895,
-0.0004979287041351199,
-0.017423352226614952,
-0.03363664075732231,
-0.036008670926094055,
-0.016087748110294342,
0.020977692678570747,
-0.013453826308250427,
0.06076011061668396,
0.019388802349567413,
-0.050251491367816925,
0.004422706086188555,
0.07672208547592163,
0.09903866052627563,
0.028365956619381905,
0.08071238547563553,
-0.036108892410993576,
0.11990754306316376,
0.054799385368824005,
0.04551573097705841,
0.011131269857287407,
-0.09379760175943375,
0.08180029690265656,
0.025524117052555084,
-0.06844362616539001,
-0.030946973711252213,
-0.05298256501555443,
-0.018101586028933525,
0.019070940092206,
0.020717095583677292,
-0.008908937685191631,
0.011996538378298283,
-0.0465383380651474,
0.02007649652659893,
0.011229101568460464,
-0.06772147864103317,
-0.012356171384453773,
-0.0006469868822023273,
-0.019905248656868935,
0.00513834971934557,
-0.022932371124625206,
0.0021150412503629923,
0.06713874638080597,
0.15779083967208862,
0.00896483100950718,
-0.0898108258843422,
0.060883305966854095,
-0.02785097248852253,
-0.009805729612708092
] |
1401.1753 | Sounak Sadhukhan | Sounak Sadhukhan, Samar Sen Sarma | A Solution of Degree Constrained Spanning Tree Using Hybrid GA | This paper has been withdrawn by the author due to some crucial
errors | null | null | null | cs.NE cs.DS | http://creativecommons.org/licenses/by/3.0/ | In real life, it is always an urge to reach our goal in minimum effort i.e.,
it should have a minimum constrained path. The path may be shortest route in
practical life, either physical or electronic medium. The scenario is to
represents the ambiance as a graph and to find a spanning tree with custom
design criteria. Here, we have chosen a minimum degree spanning tree, which can
be generated in real time with minimum turnaround time. The problem is
NP-complete in nature [1, 2]. The solution approach, in general, is
approximate. We have used a heuristic approach, namely hybrid genetic algorithm
(GA), with motivated criteria of encoded data structures of graph. We compare
the experimental result with the existing approximate algorithm and the result
is so encouraging that we are interested to use it in our future applications.
| [
{
"created": "Wed, 8 Jan 2014 17:05:41 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 2014 17:04:59 GMT",
"version": "v2"
}
] | 2014-01-14 | [
[
"Sadhukhan",
"Sounak",
""
],
[
"Sarma",
"Samar Sen",
""
]
] | [
-0.062173280864953995,
0.14177796244621277,
-0.0024738148786127567,
0.006675373762845993,
-0.0112311951816082,
-0.08762885630130768,
-0.018933642655611038,
0.03659173101186752,
-0.0609486885368824,
0.01701454631984234,
-0.05630495399236679,
-0.026902657002210617,
0.011539692990481853,
0.01642661541700363,
-0.022730138152837753,
0.006718348246067762,
0.03255592659115791,
0.00938316062092781,
0.05993450805544853,
-0.11460380256175995,
-0.01604916714131832,
-0.006436130031943321,
-0.018850460648536682,
-0.06949658691883087,
-0.010560916736721992,
0.011937943287193775,
0.06775737553834915,
0.040860626846551895,
0.036393728107213974,
0.00844939611852169,
0.04705994576215744,
-0.06716171652078629,
-0.0056222835555672646,
-0.037399765104055405,
-0.078547902405262,
0.06868457794189453,
-0.11116167157888412,
0.014671949669718742,
0.056943610310554504,
0.023773668333888054,
0.009891677647829056,
0.07576959580183029,
0.05411060154438019,
0.048824768513441086,
0.012890792451798916,
0.018890947103500366,
-0.08932263404130936,
0.05491986125707626,
-0.059495534747838974,
-0.019843904301524162,
-0.07294407486915588,
-0.06872100383043289,
-0.027789564803242683,
0.011950534768402576,
0.025702038779854774,
-0.01156915444880724,
-0.05539197847247124,
-0.02890363708138466,
0.04519104212522507,
0.06533926725387573,
0.08230972290039062,
-0.03567080944776535,
0.018553579226136208,
-0.0823378711938858,
0.00563644478097558,
0.05903682857751846,
0.07818415760993958,
-0.0040089827962219715,
0.04315653070807457,
0.008468566462397575,
0.056206006556749344,
0.06589138507843018,
-0.07207836955785751,
0.10960691422224045,
0.030078275129199028,
0.03296184539794922,
0.08033251017332077,
0.0750405341386795,
-0.03906981647014618,
0.07614415884017944,
-0.025640251114964485,
-0.0032811597920954227,
-0.04416821151971817,
0.002704567275941372,
-0.03604276478290558,
-0.011071788147091866,
-0.06555724889039993,
0.0587407648563385,
0.04985751956701279,
0.055522430688142776,
-0.02806840091943741,
0.0030008493922650814,
-0.028755350038409233,
-0.03938157111406326,
-0.09376280009746552,
0.036021482199430466,
-0.029345346614718437,
0.012189994566142559,
0.004418955184519291,
-0.012781539000570774,
0.0136271296069026,
-0.03323955833911896,
0.06056789681315422,
-0.00993710570037365,
0.059065286070108414,
0.09209462255239487,
0.0026236812118440866,
-0.04320930689573288,
-0.050717793405056,
-0.09044992178678513,
-0.04907328262925148,
0.001448948634788394,
-0.02917906828224659,
-0.025798572227358818,
-0.05418868735432625,
-0.010735445655882359,
-0.033708833158016205,
-0.018320217728614807,
0.046742137521505356,
0.08510423451662064,
-0.04986417293548584,
-0.018871013075113297,
-0.002235427964478731,
-0.046570733189582825,
-0.005869424436241388,
-0.04077306389808655,
-0.02562706172466278,
7.497755259363128e-34,
-0.12182819098234177,
0.06882760673761368,
0.06452082842588425,
-0.03739350661635399,
0.00904673058539629,
0.022304855287075043,
-0.024681691080331802,
0.0029921105597168207,
0.0001588690502103418,
-0.06541267782449722,
-0.09763392806053162,
-0.05388103798031807,
-0.01528053916990757,
-0.014570704661309719,
0.11261442303657532,
-0.06442414224147797,
-0.0024500826839357615,
-0.053553082048892975,
-0.0040854173712432384,
-0.036181773990392685,
0.015072114765644073,
0.020854363217949867,
0.07186589390039444,
-0.03824685886502266,
0.03684242442250252,
-0.04307650402188301,
0.04604806378483772,
-0.13582785427570343,
0.0755525529384613,
-0.03174562379717827,
-0.06330400705337524,
-0.008381103165447712,
0.02021726965904236,
0.05047446861863136,
-0.015106527134776115,
0.0070997546426951885,
-0.01181001216173172,
-0.05871765688061714,
0.0028898559976369143,
0.07853652536869049,
-0.021772680804133415,
0.06029940024018288,
0.08185696601867676,
0.016965895891189575,
-0.03465374931693077,
0.05191918835043907,
0.024526048451662064,
0.0106906583532691,
-0.06387945264577866,
0.07557637989521027,
-0.03425588458776474,
0.06179437413811684,
-0.04600938782095909,
0.03762216866016388,
0.02043851837515831,
0.03306262940168381,
-0.01932862214744091,
0.022324159741401672,
0.04596657678484917,
0.12655231356620789,
0.06458920985460281,
-0.06522040069103241,
0.033342063426971436,
0.0670829713344574,
-0.007019542623311281,
-0.03730245307087898,
-0.016612688079476357,
-0.02807367779314518,
0.04897410050034523,
0.0038559383247047663,
0.03535164147615433,
-0.04212002828717232,
-0.02637556567788124,
-0.0730283260345459,
0.015543331392109394,
-0.009717044420540333,
0.08281569927930832,
-0.003323549870401621,
-0.027281301096081734,
-0.050545722246170044,
-0.08487742394208908,
0.019114669412374496,
0.0339851938188076,
-0.06569211930036545,
0.051641665399074554,
-0.06195488199591637,
0.0412936806678772,
0.022531045600771904,
-0.11156567186117172,
-0.010391293093562126,
-0.0460221953690052,
0.0325404591858387,
-0.018405335023999214,
0.06999645382165909,
0.05170534551143646,
-1.8200212094560094e-33,
-0.017452601343393326,
0.014034945517778397,
0.11705907434225082,
0.01838298700749874,
0.03465045243501663,
-0.02181250788271427,
-0.008349558338522911,
-0.0758390724658966,
0.02802073024213314,
0.05978657305240631,
-0.011648437939584255,
-0.03135243058204651,
0.09754303842782974,
-0.010652811266481876,
-0.07571802288293839,
0.007052707020193338,
0.010382312349975109,
-0.035559043288230896,
0.022977439686655998,
0.06581613421440125,
0.05873570963740349,
0.14161904156208038,
-0.09538622945547104,
-0.0029940500389784575,
0.06696762144565582,
-0.03391678258776665,
0.02836715430021286,
0.01849416457116604,
0.006006305105984211,
0.013219022192060947,
-0.06541697680950165,
-0.015183811075985432,
-0.033512797206640244,
-0.00944092869758606,
0.049742721021175385,
0.05295198783278465,
0.0668616071343422,
0.06893123686313629,
0.036774180829524994,
0.061550501734018326,
0.06509165465831757,
0.03303221985697746,
-0.09135609120130539,
-0.017051491886377335,
-0.012668521143496037,
0.10044507682323456,
-0.10108257085084915,
0.06639821082353592,
-0.019723068922758102,
-0.008526843041181564,
0.02266921103000641,
0.016257276758551598,
0.030823463574051857,
-0.014481639489531517,
0.022468149662017822,
-0.06795089691877365,
0.005429718177765608,
0.08536148816347122,
0.0019082832150161266,
0.003486467059701681,
-0.035042405128479004,
-0.10335880517959595,
0.08926096558570862,
-0.05310835689306259,
-0.039405204355716705,
-0.08166561275720596,
-0.0035850692074745893,
-0.08740075677633286,
-0.10439368337392807,
0.009512238204479218,
-0.023888422176241875,
0.05509849637746811,
0.007035966496914625,
-0.0383283793926239,
-0.012303261086344719,
-0.03696347400546074,
0.03229814022779465,
0.027403229847550392,
0.03139345720410347,
-0.0346335768699646,
-0.02802494913339615,
0.07352130860090256,
0.04440721496939659,
-0.012555117718875408,
0.04049629718065262,
-0.06854806840419769,
-0.008434779942035675,
-0.05900520831346512,
0.10999154299497604,
0.045528311282396317,
0.011994045227766037,
0.033135611563920975,
-0.05232392996549606,
0.019081076607108116,
-0.05777813866734505,
-5.2912657366732674e-8,
-0.027951421216130257,
-0.003943321295082569,
-0.033204033970832825,
-0.016698284074664116,
0.12232395261526108,
0.013765585608780384,
0.08090236037969589,
-0.01214598398655653,
-0.004769616760313511,
-0.03935832530260086,
0.03510749340057373,
-0.03322777897119522,
0.03574243187904358,
0.07497961819171906,
-0.0034259797539561987,
-0.008840643800795078,
-0.037095800042152405,
-0.09637392312288284,
0.05284729599952698,
0.05917173996567726,
-0.06821294873952866,
-0.0010717000113800168,
-0.07771898061037064,
0.09025848656892776,
0.014308301731944084,
-0.04685908555984497,
0.02178412862122059,
-0.09322144091129303,
0.02337735891342163,
-0.0016708099283277988,
-0.09962242096662521,
-0.04538576677441597,
0.005750128999352455,
0.04964820295572281,
-0.027513310313224792,
0.04202011227607727,
0.010552676394581795,
0.08534134924411774,
-0.0807793065905571,
0.02053062990307808,
0.07028764486312866,
0.030539441853761673,
-0.011453951708972454,
-0.02408340759575367,
0.0055221798829734325,
-0.03379827365279198,
0.01493689976632595,
0.04437550902366638,
-0.00042845236021094024,
0.0575481653213501,
0.008551852777600288,
-0.08139669895172119,
-0.04859407991170883,
-0.11484742164611816,
0.02360832877457142,
-0.010819508694112301,
-0.014706062152981758,
-0.03553495928645134,
-0.01011667214334011,
-0.03217585012316704,
0.036710623651742935,
-0.01156170479953289,
0.01321325358003378,
0.04700065031647682
] | null | null | null | null | null | null | null | [
-0.062173280864953995,
0.14177796244621277,
-0.0024738148786127567,
0.006675373762845993,
-0.0112311951816082,
-0.08762885630130768,
-0.018933642655611038,
0.03659173101186752,
-0.0609486885368824,
0.01701454631984234,
-0.05630495399236679,
-0.026902657002210617,
0.011539692990481853,
0.01642661541700363,
-0.022730138152837753,
0.006718348246067762,
0.03255592659115791,
0.00938316062092781,
0.05993450805544853,
-0.11460380256175995,
-0.01604916714131832,
-0.006436130031943321,
-0.018850460648536682,
-0.06949658691883087,
-0.010560916736721992,
0.011937943287193775,
0.06775737553834915,
0.040860626846551895,
0.036393728107213974,
0.00844939611852169,
0.04705994576215744,
-0.06716171652078629,
-0.0056222835555672646,
-0.037399765104055405,
-0.078547902405262,
0.06868457794189453,
-0.11116167157888412,
0.014671949669718742,
0.056943610310554504,
0.023773668333888054,
0.009891677647829056,
0.07576959580183029,
0.05411060154438019,
0.048824768513441086,
0.012890792451798916,
0.018890947103500366,
-0.08932263404130936,
0.05491986125707626,
-0.059495534747838974,
-0.019843904301524162,
-0.07294407486915588,
-0.06872100383043289,
-0.027789564803242683,
0.011950534768402576,
0.025702038779854774,
-0.01156915444880724,
-0.05539197847247124,
-0.02890363708138466,
0.04519104212522507,
0.06533926725387573,
0.08230972290039062,
-0.03567080944776535,
0.018553579226136208,
-0.0823378711938858,
0.00563644478097558,
0.05903682857751846,
0.07818415760993958,
-0.0040089827962219715,
0.04315653070807457,
0.008468566462397575,
0.056206006556749344,
0.06589138507843018,
-0.07207836955785751,
0.10960691422224045,
0.030078275129199028,
0.03296184539794922,
0.08033251017332077,
0.0750405341386795,
-0.03906981647014618,
0.07614415884017944,
-0.025640251114964485,
-0.0032811597920954227,
-0.04416821151971817,
0.002704567275941372,
-0.03604276478290558,
-0.011071788147091866,
-0.06555724889039993,
0.0587407648563385,
0.04985751956701279,
0.055522430688142776,
-0.02806840091943741,
0.0030008493922650814,
-0.028755350038409233,
-0.03938157111406326,
-0.09376280009746552,
0.036021482199430466,
-0.029345346614718437,
0.012189994566142559,
0.004418955184519291,
-0.012781539000570774,
0.0136271296069026,
-0.03323955833911896,
0.06056789681315422,
-0.00993710570037365,
0.059065286070108414,
0.09209462255239487,
0.0026236812118440866,
-0.04320930689573288,
-0.050717793405056,
-0.09044992178678513,
-0.04907328262925148,
0.001448948634788394,
-0.02917906828224659,
-0.025798572227358818,
-0.05418868735432625,
-0.010735445655882359,
-0.033708833158016205,
-0.018320217728614807,
0.046742137521505356,
0.08510423451662064,
-0.04986417293548584,
-0.018871013075113297,
-0.002235427964478731,
-0.046570733189582825,
-0.005869424436241388,
-0.04077306389808655,
-0.02562706172466278,
7.497755259363128e-34,
-0.12182819098234177,
0.06882760673761368,
0.06452082842588425,
-0.03739350661635399,
0.00904673058539629,
0.022304855287075043,
-0.024681691080331802,
0.0029921105597168207,
0.0001588690502103418,
-0.06541267782449722,
-0.09763392806053162,
-0.05388103798031807,
-0.01528053916990757,
-0.014570704661309719,
0.11261442303657532,
-0.06442414224147797,
-0.0024500826839357615,
-0.053553082048892975,
-0.0040854173712432384,
-0.036181773990392685,
0.015072114765644073,
0.020854363217949867,
0.07186589390039444,
-0.03824685886502266,
0.03684242442250252,
-0.04307650402188301,
0.04604806378483772,
-0.13582785427570343,
0.0755525529384613,
-0.03174562379717827,
-0.06330400705337524,
-0.008381103165447712,
0.02021726965904236,
0.05047446861863136,
-0.015106527134776115,
0.0070997546426951885,
-0.01181001216173172,
-0.05871765688061714,
0.0028898559976369143,
0.07853652536869049,
-0.021772680804133415,
0.06029940024018288,
0.08185696601867676,
0.016965895891189575,
-0.03465374931693077,
0.05191918835043907,
0.024526048451662064,
0.0106906583532691,
-0.06387945264577866,
0.07557637989521027,
-0.03425588458776474,
0.06179437413811684,
-0.04600938782095909,
0.03762216866016388,
0.02043851837515831,
0.03306262940168381,
-0.01932862214744091,
0.022324159741401672,
0.04596657678484917,
0.12655231356620789,
0.06458920985460281,
-0.06522040069103241,
0.033342063426971436,
0.0670829713344574,
-0.007019542623311281,
-0.03730245307087898,
-0.016612688079476357,
-0.02807367779314518,
0.04897410050034523,
0.0038559383247047663,
0.03535164147615433,
-0.04212002828717232,
-0.02637556567788124,
-0.0730283260345459,
0.015543331392109394,
-0.009717044420540333,
0.08281569927930832,
-0.003323549870401621,
-0.027281301096081734,
-0.050545722246170044,
-0.08487742394208908,
0.019114669412374496,
0.0339851938188076,
-0.06569211930036545,
0.051641665399074554,
-0.06195488199591637,
0.0412936806678772,
0.022531045600771904,
-0.11156567186117172,
-0.010391293093562126,
-0.0460221953690052,
0.0325404591858387,
-0.018405335023999214,
0.06999645382165909,
0.05170534551143646,
-1.8200212094560094e-33,
-0.017452601343393326,
0.014034945517778397,
0.11705907434225082,
0.01838298700749874,
0.03465045243501663,
-0.02181250788271427,
-0.008349558338522911,
-0.0758390724658966,
0.02802073024213314,
0.05978657305240631,
-0.011648437939584255,
-0.03135243058204651,
0.09754303842782974,
-0.010652811266481876,
-0.07571802288293839,
0.007052707020193338,
0.010382312349975109,
-0.035559043288230896,
0.022977439686655998,
0.06581613421440125,
0.05873570963740349,
0.14161904156208038,
-0.09538622945547104,
-0.0029940500389784575,
0.06696762144565582,
-0.03391678258776665,
0.02836715430021286,
0.01849416457116604,
0.006006305105984211,
0.013219022192060947,
-0.06541697680950165,
-0.015183811075985432,
-0.033512797206640244,
-0.00944092869758606,
0.049742721021175385,
0.05295198783278465,
0.0668616071343422,
0.06893123686313629,
0.036774180829524994,
0.061550501734018326,
0.06509165465831757,
0.03303221985697746,
-0.09135609120130539,
-0.017051491886377335,
-0.012668521143496037,
0.10044507682323456,
-0.10108257085084915,
0.06639821082353592,
-0.019723068922758102,
-0.008526843041181564,
0.02266921103000641,
0.016257276758551598,
0.030823463574051857,
-0.014481639489531517,
0.022468149662017822,
-0.06795089691877365,
0.005429718177765608,
0.08536148816347122,
0.0019082832150161266,
0.003486467059701681,
-0.035042405128479004,
-0.10335880517959595,
0.08926096558570862,
-0.05310835689306259,
-0.039405204355716705,
-0.08166561275720596,
-0.0035850692074745893,
-0.08740075677633286,
-0.10439368337392807,
0.009512238204479218,
-0.023888422176241875,
0.05509849637746811,
0.007035966496914625,
-0.0383283793926239,
-0.012303261086344719,
-0.03696347400546074,
0.03229814022779465,
0.027403229847550392,
0.03139345720410347,
-0.0346335768699646,
-0.02802494913339615,
0.07352130860090256,
0.04440721496939659,
-0.012555117718875408,
0.04049629718065262,
-0.06854806840419769,
-0.008434779942035675,
-0.05900520831346512,
0.10999154299497604,
0.045528311282396317,
0.011994045227766037,
0.033135611563920975,
-0.05232392996549606,
0.019081076607108116,
-0.05777813866734505,
-5.2912657366732674e-8,
-0.027951421216130257,
-0.003943321295082569,
-0.033204033970832825,
-0.016698284074664116,
0.12232395261526108,
0.013765585608780384,
0.08090236037969589,
-0.01214598398655653,
-0.004769616760313511,
-0.03935832530260086,
0.03510749340057373,
-0.03322777897119522,
0.03574243187904358,
0.07497961819171906,
-0.0034259797539561987,
-0.008840643800795078,
-0.037095800042152405,
-0.09637392312288284,
0.05284729599952698,
0.05917173996567726,
-0.06821294873952866,
-0.0010717000113800168,
-0.07771898061037064,
0.09025848656892776,
0.014308301731944084,
-0.04685908555984497,
0.02178412862122059,
-0.09322144091129303,
0.02337735891342163,
-0.0016708099283277988,
-0.09962242096662521,
-0.04538576677441597,
0.005750128999352455,
0.04964820295572281,
-0.027513310313224792,
0.04202011227607727,
0.010552676394581795,
0.08534134924411774,
-0.0807793065905571,
0.02053062990307808,
0.07028764486312866,
0.030539441853761673,
-0.011453951708972454,
-0.02408340759575367,
0.0055221798829734325,
-0.03379827365279198,
0.01493689976632595,
0.04437550902366638,
-0.00042845236021094024,
0.0575481653213501,
0.008551852777600288,
-0.08139669895172119,
-0.04859407991170883,
-0.11484742164611816,
0.02360832877457142,
-0.010819508694112301,
-0.014706062152981758,
-0.03553495928645134,
-0.01011667214334011,
-0.03217585012316704,
0.036710623651742935,
-0.01156170479953289,
0.01321325358003378,
0.04700065031647682
] |
1401.1757 | Mark Bull | Mark Tucker and J. Mark Bull | An efficient algorithm for the calculation of reserves for non-unit
linked life policies | 28 pages | null | null | null | q-fin.CP cs.CE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The underlying stochastic nature of the requirements for the Solvency II
regulations has introduced significant challenges if the required calculations
are to be performed correctly, without resorting to excessive approximations,
within practical timescales. It is generally acknowledged by practising
actuaries within UK life offices that it is currently impossible to correctly
fulfil the requirements imposed by Solvency II using existing computational
techniques based on commercially available valuation packages. Our work has
already shown that it is possible to perform profitability calculations at a
far higher rate than is achievable using commercial packages. One of the key
factors in achieving these gains is to calculate reserves using recurrence
relations that scale linearly with the number of time steps. Here, we present a
general vector recurrence relation which can be used for a wide range of
non-unit linked policies that are covered by Solvency II; such contracts
include annuities, term assurances, and endowments. Our results suggest that by
using an optimised parallel implementation of this algorithm, on an affordable
hardware platform, it is possible to perform the `brute force' approach to
demonstrating solvency in a realistic timescale (of the order of a few hours).
| [
{
"created": "Wed, 8 Jan 2014 17:16:29 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 2014 15:23:30 GMT",
"version": "v2"
}
] | 2014-06-30 | [
[
"Tucker",
"Mark",
""
],
[
"Bull",
"J. Mark",
""
]
] | [
-0.0772000327706337,
0.02206648699939251,
-0.016677774488925934,
-0.07742767035961151,
-0.04522204399108887,
-0.07411524653434753,
-0.023643862456083298,
-0.007718398701399565,
0.04291263595223427,
0.04149869084358215,
-0.047493401914834976,
-0.08982396125793457,
-0.03506859391927719,
0.05049361661076546,
0.02790233865380287,
-0.01718469150364399,
-0.04175060614943504,
0.02249126508831978,
0.021266331896185875,
0.0017635398544371128,
-0.005178319290280342,
0.040811240673065186,
-0.03002585843205452,
-0.0679924264550209,
0.07180231809616089,
-0.04874764755368233,
0.015306737273931503,
0.02515632100403309,
0.009246443398296833,
0.03004317171871662,
0.0720551609992981,
0.0007815720746293664,
0.009826191700994968,
-0.06180597469210625,
0.023879634216427803,
0.04523813724517822,
-0.0168389230966568,
-0.0165090449154377,
-0.10295769572257996,
0.042446792125701904,
-0.023092254996299744,
0.007073097862303257,
-0.044876039028167725,
0.06577286124229431,
0.06923680752515793,
-0.05284316837787628,
0.004471734166145325,
0.0016930637648329139,
-0.023944595828652382,
0.0343034490942955,
-0.046971194446086884,
0.020455708727240562,
-0.01167201902717352,
0.013230129145085812,
0.007367539219558239,
-0.007126532960683107,
0.03366176784038544,
0.033095382153987885,
-0.06140987202525139,
-0.017223196104168892,
0.04754813760519028,
-0.059862665832042694,
-0.06385131925344467,
-0.07642845064401627,
-0.0064944433979690075,
-0.017271768301725388,
0.0388309545814991,
0.05472786724567413,
-0.016548234969377518,
0.03679188713431358,
-0.02006364054977894,
-0.07695703208446503,
-0.06456135213375092,
-0.03584540635347366,
-0.03401320055127144,
0.081045001745224,
0.04888467118144035,
0.03564222902059555,
0.004980084020644426,
-0.10650540888309479,
-0.031302932649850845,
-0.015632038936018944,
-0.03301813825964928,
-0.01707099750638008,
0.019016556441783905,
-0.03797915577888489,
0.0030631935223937035,
0.06469674408435822,
0.14981399476528168,
0.026339368894696236,
0.06494684517383575,
-0.04872642457485199,
0.07541442662477493,
-0.06444074958562851,
0.08838719129562378,
0.0028228170704096556,
0.008150355890393257,
-0.03627221658825874,
0.046242304146289825,
0.05122070759534836,
0.00008962101128417999,
-0.0223408043384552,
-0.0031224435660988092,
-0.09149446338415146,
0.0255510825663805,
-0.03884371370077133,
-0.012348758056759834,
0.04060548543930054,
0.03374539688229561,
-0.05086032673716545,
-0.02756369113922119,
0.07423528283834457,
0.0771031454205513,
0.011825235560536385,
0.0035729180090129375,
0.025867030024528503,
-0.10171151161193848,
-0.06311243027448654,
0.16130822896957397,
0.011866915971040726,
0.10449657589197159,
0.09879174828529358,
0.028399797156453133,
-0.029157346114516258,
-0.0003878591232933104,
-0.016488319262862206,
-0.030627252534031868,
3.941237867055275e-33,
-0.05898852273821831,
0.05355607718229294,
0.015261762775480747,
-0.01898276060819626,
-0.01937633566558361,
-0.03685298189520836,
0.038255296647548676,
0.04530183970928192,
-0.02088213711977005,
0.06535689532756805,
-0.018910156562924385,
0.07342526316642761,
-0.035752102732658386,
-0.020697925239801407,
0.06049465388059616,
-0.019079476594924927,
0.051868878304958344,
0.10245507210493088,
0.06490208208560944,
0.004989719949662685,
0.05275995284318924,
-0.1283339560031891,
0.05105310305953026,
-0.060369011014699936,
0.10079843550920486,
-0.09900398552417755,
-0.005944078788161278,
-0.05535845458507538,
0.08205687254667282,
-0.0022345215547829866,
0.07235509157180786,
0.054959435015916824,
-0.018998555839061737,
0.0459270253777504,
0.03696432709693909,
-0.021428076550364494,
0.0126290712505579,
-0.02249390073120594,
0.015731913968920708,
-0.015258615836501122,
-0.12044525891542435,
0.0008195106056518853,
0.009546065703034401,
0.009059465490281582,
-0.05425015091896057,
-0.049358807504177094,
0.03222500532865524,
-0.016608579084277153,
0.03363456577062607,
-0.05171217396855354,
0.02047722600400448,
-0.03372664004564285,
-0.06615708023309708,
-0.0452546626329422,
-0.04640771821141243,
-0.02895139716565609,
0.00234002317301929,
0.03207414224743843,
-0.06270496547222137,
0.10716453939676285,
-0.019667258486151695,
0.021970754489302635,
0.027737224474549294,
-0.006536574102938175,
-0.15162554383277893,
0.05684373155236244,
-0.03932903707027435,
0.054975725710392,
0.04985057935118675,
-0.02673492208123207,
0.010762463323771954,
0.0057766493409872055,
0.052703604102134705,
-0.12057574093341827,
0.06776349246501923,
-0.06350977718830109,
0.1321900635957718,
-0.04530167579650879,
-0.028985043987631798,
-0.005540096201002598,
-0.06297704577445984,
0.11376550048589706,
0.04064251855015755,
0.02294176258146763,
0.07062672823667526,
-0.02119888737797737,
0.009935368783771992,
0.0507780984044075,
-0.014855973422527313,
-0.088475301861763,
-0.0773634985089302,
-0.032543376088142395,
0.010980590246617794,
-0.004174511879682541,
0.05734400823712349,
-5.4195538889867845e-33,
-0.06247645989060402,
-0.05798184499144554,
0.051917191594839096,
0.036284103989601135,
0.030042732134461403,
-0.0412009097635746,
-0.07021200656890869,
-0.04050064831972122,
0.06963088363409042,
-0.051768165081739426,
-0.09570328146219254,
0.005373529624193907,
0.0339168980717659,
0.0331038236618042,
0.025361770763993263,
-0.09103309363126755,
-0.026426274329423904,
-0.03948491811752319,
0.04585954174399376,
0.0005091741913929582,
0.07043061405420303,
0.010035822167992592,
-0.014503550715744495,
0.012826511636376381,
-0.01968913897871971,
0.009056294336915016,
-0.07210477441549301,
0.004797418136149645,
0.01875963993370533,
-0.029136603698134422,
-0.04691657796502113,
-0.03961409628391266,
-0.04934433102607727,
0.026553809642791748,
0.04900668188929558,
-0.059552520513534546,
0.10612258315086365,
-0.020783839747309685,
-0.016200033947825432,
0.011637140065431595,
0.10518922656774521,
-0.0654049664735794,
0.03569433465600014,
-0.02047598734498024,
0.0698331817984581,
-0.03502829372882843,
-0.0296602975577116,
-0.042752936482429504,
0.10612329095602036,
-0.03518393263220787,
0.03904718905687332,
0.005618849769234657,
-0.03992553800344467,
0.060846325010061264,
-0.06681367754936218,
0.02661747857928276,
-0.02908569760620594,
-0.019600437954068184,
0.03399761766195297,
0.02379740960896015,
-0.024437233805656433,
0.03338443860411644,
0.025863436982035637,
0.0806933045387268,
-0.015244463458657265,
-0.005974162369966507,
-0.014562539756298065,
-0.03163975477218628,
-0.038824062794446945,
-0.038808904588222504,
-0.04465566948056221,
-0.0134666059166193,
-0.0437936969101429,
-0.029872125014662743,
-0.0223805271089077,
0.000712543202098459,
0.02219412289559841,
-0.062449585646390915,
0.010661624372005463,
0.004364636726677418,
0.023378366604447365,
0.034709710627794266,
0.04524757340550423,
0.014616673812270164,
-0.01858031563460827,
-0.05610208585858345,
0.12157594412565231,
-0.09641160815954208,
0.04811256006360054,
-0.006808320991694927,
-0.05641046538949013,
-0.01991148293018341,
0.006711374968290329,
0.022473566234111786,
-0.030423883348703384,
-5.6664937631012435e-8,
0.02383626624941826,
-0.0053562503308057785,
0.006746661849319935,
0.002721423516049981,
0.04897113889455795,
-0.06831534951925278,
-0.02502835914492607,
0.032471369951963425,
-0.004993607755750418,
-0.03864030912518501,
0.04176110029220581,
-0.02785416692495346,
0.011952280066907406,
-0.04140515252947807,
-0.0611986443400383,
0.016833452507853508,
-0.05608823150396347,
-0.06342186033725739,
-0.05842740833759308,
0.0030385637655854225,
0.03323938697576523,
0.06351566314697266,
0.020470766350626945,
-0.017645277082920074,
-0.05089518800377846,
-0.03638418763875961,
0.05322226136922836,
0.08210920542478561,
0.13909247517585754,
0.01801518350839615,
0.021515021100640297,
-0.0005670025711879134,
0.06091834977269173,
0.019248679280281067,
-0.018265264108777046,
-0.1062520369887352,
0.04505037143826485,
0.05958332121372223,
0.03734132647514343,
0.012903998605906963,
-0.018684403970837593,
-0.04458583891391754,
0.004587611649185419,
0.07618815451860428,
0.07878199219703674,
-0.039950426667928696,
-0.15801556408405304,
-0.032270461320877075,
0.03656848520040512,
-0.11421683430671692,
0.07543369382619858,
0.025235747918486595,
0.031370848417282104,
0.03855980187654495,
0.0422859713435173,
0.048319023102521896,
0.00329581368714571,
-0.018647203221917152,
0.0005844903644174337,
0.08453038334846497,
-0.019080163910984993,
-0.0866168960928917,
-0.015509254299104214,
-0.009855391457676888
] | null | null | null | null | null | null | null | [
-0.0772000327706337,
0.02206648699939251,
-0.016677774488925934,
-0.07742767035961151,
-0.04522204399108887,
-0.07411524653434753,
-0.023643862456083298,
-0.007718398701399565,
0.04291263595223427,
0.04149869084358215,
-0.047493401914834976,
-0.08982396125793457,
-0.03506859391927719,
0.05049361661076546,
0.02790233865380287,
-0.01718469150364399,
-0.04175060614943504,
0.02249126508831978,
0.021266331896185875,
0.0017635398544371128,
-0.005178319290280342,
0.040811240673065186,
-0.03002585843205452,
-0.0679924264550209,
0.07180231809616089,
-0.04874764755368233,
0.015306737273931503,
0.02515632100403309,
0.009246443398296833,
0.03004317171871662,
0.0720551609992981,
0.0007815720746293664,
0.009826191700994968,
-0.06180597469210625,
0.023879634216427803,
0.04523813724517822,
-0.0168389230966568,
-0.0165090449154377,
-0.10295769572257996,
0.042446792125701904,
-0.023092254996299744,
0.007073097862303257,
-0.044876039028167725,
0.06577286124229431,
0.06923680752515793,
-0.05284316837787628,
0.004471734166145325,
0.0016930637648329139,
-0.023944595828652382,
0.0343034490942955,
-0.046971194446086884,
0.020455708727240562,
-0.01167201902717352,
0.013230129145085812,
0.007367539219558239,
-0.007126532960683107,
0.03366176784038544,
0.033095382153987885,
-0.06140987202525139,
-0.017223196104168892,
0.04754813760519028,
-0.059862665832042694,
-0.06385131925344467,
-0.07642845064401627,
-0.0064944433979690075,
-0.017271768301725388,
0.0388309545814991,
0.05472786724567413,
-0.016548234969377518,
0.03679188713431358,
-0.02006364054977894,
-0.07695703208446503,
-0.06456135213375092,
-0.03584540635347366,
-0.03401320055127144,
0.081045001745224,
0.04888467118144035,
0.03564222902059555,
0.004980084020644426,
-0.10650540888309479,
-0.031302932649850845,
-0.015632038936018944,
-0.03301813825964928,
-0.01707099750638008,
0.019016556441783905,
-0.03797915577888489,
0.0030631935223937035,
0.06469674408435822,
0.14981399476528168,
0.026339368894696236,
0.06494684517383575,
-0.04872642457485199,
0.07541442662477493,
-0.06444074958562851,
0.08838719129562378,
0.0028228170704096556,
0.008150355890393257,
-0.03627221658825874,
0.046242304146289825,
0.05122070759534836,
0.00008962101128417999,
-0.0223408043384552,
-0.0031224435660988092,
-0.09149446338415146,
0.0255510825663805,
-0.03884371370077133,
-0.012348758056759834,
0.04060548543930054,
0.03374539688229561,
-0.05086032673716545,
-0.02756369113922119,
0.07423528283834457,
0.0771031454205513,
0.011825235560536385,
0.0035729180090129375,
0.025867030024528503,
-0.10171151161193848,
-0.06311243027448654,
0.16130822896957397,
0.011866915971040726,
0.10449657589197159,
0.09879174828529358,
0.028399797156453133,
-0.029157346114516258,
-0.0003878591232933104,
-0.016488319262862206,
-0.030627252534031868,
3.941237867055275e-33,
-0.05898852273821831,
0.05355607718229294,
0.015261762775480747,
-0.01898276060819626,
-0.01937633566558361,
-0.03685298189520836,
0.038255296647548676,
0.04530183970928192,
-0.02088213711977005,
0.06535689532756805,
-0.018910156562924385,
0.07342526316642761,
-0.035752102732658386,
-0.020697925239801407,
0.06049465388059616,
-0.019079476594924927,
0.051868878304958344,
0.10245507210493088,
0.06490208208560944,
0.004989719949662685,
0.05275995284318924,
-0.1283339560031891,
0.05105310305953026,
-0.060369011014699936,
0.10079843550920486,
-0.09900398552417755,
-0.005944078788161278,
-0.05535845458507538,
0.08205687254667282,
-0.0022345215547829866,
0.07235509157180786,
0.054959435015916824,
-0.018998555839061737,
0.0459270253777504,
0.03696432709693909,
-0.021428076550364494,
0.0126290712505579,
-0.02249390073120594,
0.015731913968920708,
-0.015258615836501122,
-0.12044525891542435,
0.0008195106056518853,
0.009546065703034401,
0.009059465490281582,
-0.05425015091896057,
-0.049358807504177094,
0.03222500532865524,
-0.016608579084277153,
0.03363456577062607,
-0.05171217396855354,
0.02047722600400448,
-0.03372664004564285,
-0.06615708023309708,
-0.0452546626329422,
-0.04640771821141243,
-0.02895139716565609,
0.00234002317301929,
0.03207414224743843,
-0.06270496547222137,
0.10716453939676285,
-0.019667258486151695,
0.021970754489302635,
0.027737224474549294,
-0.006536574102938175,
-0.15162554383277893,
0.05684373155236244,
-0.03932903707027435,
0.054975725710392,
0.04985057935118675,
-0.02673492208123207,
0.010762463323771954,
0.0057766493409872055,
0.052703604102134705,
-0.12057574093341827,
0.06776349246501923,
-0.06350977718830109,
0.1321900635957718,
-0.04530167579650879,
-0.028985043987631798,
-0.005540096201002598,
-0.06297704577445984,
0.11376550048589706,
0.04064251855015755,
0.02294176258146763,
0.07062672823667526,
-0.02119888737797737,
0.009935368783771992,
0.0507780984044075,
-0.014855973422527313,
-0.088475301861763,
-0.0773634985089302,
-0.032543376088142395,
0.010980590246617794,
-0.004174511879682541,
0.05734400823712349,
-5.4195538889867845e-33,
-0.06247645989060402,
-0.05798184499144554,
0.051917191594839096,
0.036284103989601135,
0.030042732134461403,
-0.0412009097635746,
-0.07021200656890869,
-0.04050064831972122,
0.06963088363409042,
-0.051768165081739426,
-0.09570328146219254,
0.005373529624193907,
0.0339168980717659,
0.0331038236618042,
0.025361770763993263,
-0.09103309363126755,
-0.026426274329423904,
-0.03948491811752319,
0.04585954174399376,
0.0005091741913929582,
0.07043061405420303,
0.010035822167992592,
-0.014503550715744495,
0.012826511636376381,
-0.01968913897871971,
0.009056294336915016,
-0.07210477441549301,
0.004797418136149645,
0.01875963993370533,
-0.029136603698134422,
-0.04691657796502113,
-0.03961409628391266,
-0.04934433102607727,
0.026553809642791748,
0.04900668188929558,
-0.059552520513534546,
0.10612258315086365,
-0.020783839747309685,
-0.016200033947825432,
0.011637140065431595,
0.10518922656774521,
-0.0654049664735794,
0.03569433465600014,
-0.02047598734498024,
0.0698331817984581,
-0.03502829372882843,
-0.0296602975577116,
-0.042752936482429504,
0.10612329095602036,
-0.03518393263220787,
0.03904718905687332,
0.005618849769234657,
-0.03992553800344467,
0.060846325010061264,
-0.06681367754936218,
0.02661747857928276,
-0.02908569760620594,
-0.019600437954068184,
0.03399761766195297,
0.02379740960896015,
-0.024437233805656433,
0.03338443860411644,
0.025863436982035637,
0.0806933045387268,
-0.015244463458657265,
-0.005974162369966507,
-0.014562539756298065,
-0.03163975477218628,
-0.038824062794446945,
-0.038808904588222504,
-0.04465566948056221,
-0.0134666059166193,
-0.0437936969101429,
-0.029872125014662743,
-0.0223805271089077,
0.000712543202098459,
0.02219412289559841,
-0.062449585646390915,
0.010661624372005463,
0.004364636726677418,
0.023378366604447365,
0.034709710627794266,
0.04524757340550423,
0.014616673812270164,
-0.01858031563460827,
-0.05610208585858345,
0.12157594412565231,
-0.09641160815954208,
0.04811256006360054,
-0.006808320991694927,
-0.05641046538949013,
-0.01991148293018341,
0.006711374968290329,
0.022473566234111786,
-0.030423883348703384,
-5.6664937631012435e-8,
0.02383626624941826,
-0.0053562503308057785,
0.006746661849319935,
0.002721423516049981,
0.04897113889455795,
-0.06831534951925278,
-0.02502835914492607,
0.032471369951963425,
-0.004993607755750418,
-0.03864030912518501,
0.04176110029220581,
-0.02785416692495346,
0.011952280066907406,
-0.04140515252947807,
-0.0611986443400383,
0.016833452507853508,
-0.05608823150396347,
-0.06342186033725739,
-0.05842740833759308,
0.0030385637655854225,
0.03323938697576523,
0.06351566314697266,
0.020470766350626945,
-0.017645277082920074,
-0.05089518800377846,
-0.03638418763875961,
0.05322226136922836,
0.08210920542478561,
0.13909247517585754,
0.01801518350839615,
0.021515021100640297,
-0.0005670025711879134,
0.06091834977269173,
0.019248679280281067,
-0.018265264108777046,
-0.1062520369887352,
0.04505037143826485,
0.05958332121372223,
0.03734132647514343,
0.012903998605906963,
-0.018684403970837593,
-0.04458583891391754,
0.004587611649185419,
0.07618815451860428,
0.07878199219703674,
-0.039950426667928696,
-0.15801556408405304,
-0.032270461320877075,
0.03656848520040512,
-0.11421683430671692,
0.07543369382619858,
0.025235747918486595,
0.031370848417282104,
0.03855980187654495,
0.0422859713435173,
0.048319023102521896,
0.00329581368714571,
-0.018647203221917152,
0.0005844903644174337,
0.08453038334846497,
-0.019080163910984993,
-0.0866168960928917,
-0.015509254299104214,
-0.009855391457676888
] |
1401.1760 | Abhinav Sinha | Abhinav Sinha and Achilleas Anastasopoulos | Generalized Proportional Allocation Mechanism Design for Unicast Service
on the Internet | arXiv admin note: text overlap with arXiv:1307.2569 | null | null | null | cs.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this report we construct two mechanisms that fully implement social
welfare maximising allocation in Nash equilibria for the case of a single
infinitely divisible good subject to multiple inequality constraints. The first
mechanism achieves weak budget balance, while the second is an extension of the
first, and achieves strong budget balance. One important application of this
mechanism is unicast service on the Internet where a network operator wishes to
allocate rates among strategic users in such a way that maximise overall user
satisfaction while respecting capacity constraints on every link in the
network. The emphasis of this work is on full implementation, which means that
all Nash equilibria of the induced game result in the optimal allocations of
the centralized allocation problem.
| [
{
"created": "Wed, 8 Jan 2014 17:39:21 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jan 2014 16:24:47 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Feb 2014 05:35:09 GMT",
"version": "v3"
}
] | 2014-02-06 | [
[
"Sinha",
"Abhinav",
""
],
[
"Anastasopoulos",
"Achilleas",
""
]
] | [
-0.0207213144749403,
0.0071934787556529045,
-0.08835102617740631,
-0.10356547683477402,
-0.0346825011074543,
0.048078007996082306,
0.04878268390893936,
0.021073222160339355,
-0.046957749873399734,
0.09193381667137146,
-0.06207927316427231,
0.04811561107635498,
0.08423490077257156,
0.05715581774711609,
0.027648307383060455,
0.04374222457408905,
0.08882764726877213,
-0.00965789146721363,
-0.007995684631168842,
-0.028810927644371986,
0.014702139422297478,
-0.0626813992857933,
-0.027107054367661476,
-0.02229156903922558,
-0.008760740049183369,
-0.05573024973273277,
-0.051563043147325516,
-0.04314149543642998,
-0.01570236124098301,
-0.013320168480277061,
0.010597232729196548,
-0.008918160572648048,
0.05553209409117699,
0.027437137439846992,
-0.018124112859368324,
-0.043922774493694305,
-0.19409672915935516,
-0.07914330065250397,
-0.051045551896095276,
0.03511431813240051,
0.007754121907055378,
0.057036060839891434,
-0.068172886967659,
-0.013531993143260479,
-0.04719507321715355,
0.02529584988951683,
-0.03157975152134895,
0.11181295663118362,
0.041882406920194626,
-0.03250045329332352,
0.03854549303650856,
-0.01345591340214014,
-0.005164478439837694,
0.02256827801465988,
0.028870543465018272,
-0.0626499205827713,
-0.03365471214056015,
0.017791325226426125,
-0.01671629399061203,
-0.004804491531103849,
-0.004207808058708906,
0.0015853983350098133,
0.015474433079361916,
0.007721186615526676,
0.13632918894290924,
-0.0196693018078804,
0.019128430634737015,
0.053102340549230576,
-0.11814900487661362,
0.06195669621229172,
0.026190290227532387,
0.023982802405953407,
-0.020816192030906677,
-0.03856371343135834,
0.03377537429332733,
0.0750923603773117,
0.03111773170530796,
0.04103684797883034,
0.006505340337753296,
0.08493313938379288,
-0.05099499225616455,
-0.013805541209876537,
0.002522764028981328,
-0.027325699105858803,
-0.01935231313109398,
-0.04290085658431053,
-0.03124130144715309,
-0.07912518829107285,
0.17128969728946686,
-0.0032113611232489347,
-0.046663593500852585,
0.10917834937572479,
0.06123528257012367,
0.022141126915812492,
-0.022612007334828377,
-0.007197780534625053,
-0.06255733966827393,
-0.0678786039352417,
-0.07037293165922165,
0.0478103868663311,
-0.025902017951011658,
-0.005354053340852261,
0.1204100251197815,
-0.028420452028512955,
0.010145733132958412,
-0.021036246791481972,
-0.035692036151885986,
0.054712533950805664,
0.0360211543738842,
0.003761321073397994,
-0.03881111741065979,
0.012324744835495949,
0.05439164489507675,
-0.05108582600951195,
-0.06420678645372391,
0.009633311070501804,
0.06727727502584457,
0.05249376222491264,
0.0005708227981813252,
-0.04011025279760361,
0.005965407006442547,
-0.03270453214645386,
-0.01377223152667284,
0.03681246563792229,
0.03468087315559387,
0.06828968971967697,
-0.017292235046625137,
2.729321925798713e-33,
-0.03938523679971695,
-0.07014147192239761,
0.017367064952850342,
-0.012988378293812275,
-0.0030479184351861477,
-0.0164506733417511,
-0.042548295110464096,
0.012316514737904072,
-0.16739292442798615,
-0.05417238175868988,
0.033030230551958084,
0.11258350312709808,
0.05302391201257706,
0.03838205337524414,
0.09993711113929749,
-0.09313273429870605,
0.014971241354942322,
0.09719912707805634,
0.11672527343034744,
-0.04865837097167969,
0.0092745590955019,
-0.030147364363074303,
-0.014798743650317192,
-0.014817978255450726,
-0.010693271644413471,
-0.0410957932472229,
-0.024365216493606567,
0.005690224468708038,
0.0983847826719284,
-0.026825742796063423,
-0.004382158629596233,
-0.0020998751278966665,
0.0037570917047560215,
-0.010867996141314507,
0.02974075824022293,
0.025158286094665527,
-0.055151358246803284,
0.03968796879053116,
0.013981342315673828,
0.011949960142374039,
0.006291629280894995,
0.010720685124397278,
0.016397526487708092,
-0.007655531167984009,
-0.0860728994011879,
-0.03083723597228527,
0.020007465034723282,
0.0747794508934021,
-0.11342097818851471,
0.004741062875837088,
-0.01915844902396202,
0.03497667238116264,
0.010842546820640564,
-0.012427748180925846,
-0.012708306312561035,
-0.056250061839818954,
0.014114937745034695,
0.006093498319387436,
-0.026013070717453957,
-0.020491229370236397,
0.002985134022310376,
-0.15586450695991516,
0.05923520028591156,
-0.05324862524867058,
0.040766727179288864,
-0.001102935173548758,
-0.02287156507372856,
-0.0298494603484869,
0.07944270223379135,
-0.0038791282568126917,
-0.03521641716361046,
0.044546350836753845,
0.03976934030652046,
0.08284653723239899,
-0.07567884773015976,
0.048554617911577225,
-0.013456178829073906,
0.04863269627094269,
-0.01991518959403038,
0.009390806779265404,
-0.05811166763305664,
0.01109829731285572,
0.03255259990692139,
-0.011479177512228489,
-0.014257797040045261,
-0.035269901156425476,
0.004881598986685276,
0.0363101102411747,
0.008288273587822914,
0.020828362554311752,
-0.016346629709005356,
-0.00933597981929779,
0.01566474884748459,
0.020100155845284462,
0.07130647450685501,
-4.0818100936823276e-33,
-0.02860257588326931,
0.0003635026514530182,
-0.05958530679345131,
-0.019340548664331436,
0.04286348819732666,
0.03056241385638714,
-0.013983829878270626,
-0.07078138738870621,
-0.06736616790294647,
0.06132166087627411,
-0.04356516897678375,
0.05728715658187866,
0.07760161906480789,
-0.013410364277660847,
-0.06741030514240265,
-0.07946988195180893,
0.013538142666220665,
0.03904690220952034,
-0.048461880534887314,
0.006958456244319677,
-0.010344640351831913,
0.04572104662656784,
0.02501634694635868,
0.001382932416163385,
0.10057435929775238,
0.05380029231309891,
-0.04252048209309578,
0.013189845718443394,
-0.0602446012198925,
0.06895365566015244,
-0.04264971241354942,
-0.09503784030675888,
-0.05417114123702049,
-0.03991073742508888,
0.025092339143157005,
0.02733802981674671,
-0.01979609578847885,
0.11154291033744812,
0.039242930710315704,
0.1318272203207016,
0.06474809348583221,
-0.10136894136667252,
-0.053915493190288544,
0.08723173290491104,
0.022116491571068764,
0.006252123508602381,
-0.0045300559140741825,
-0.03503262996673584,
-0.03280973061919212,
-0.006508154794573784,
0.028300214558839798,
0.051390089094638824,
0.04328048601746559,
0.05725303292274475,
-0.033704306930303574,
-0.006313544698059559,
-0.013264114037156105,
0.012639197520911694,
0.07334389537572861,
-0.04159439355134964,
0.020046936348080635,
-0.019142042845487595,
-0.10278984904289246,
0.06270596385002136,
-0.04792838916182518,
-0.07082901149988174,
0.02226841263473034,
-0.0553445965051651,
-0.021585457026958466,
-0.018318306654691696,
0.021881410852074623,
0.07713546603918076,
0.019283706322312355,
-0.010379855521023273,
0.005600450094789267,
0.12170170992612839,
0.02729242853820324,
0.13395939767360687,
0.020962782204151154,
0.02260015532374382,
-0.059346165508031845,
0.0878567174077034,
0.0711560994386673,
-0.0389401912689209,
-0.04117041453719139,
-0.11333015561103821,
0.11805468052625656,
0.008580473251640797,
-0.07227014005184174,
-0.034826818853616714,
-0.01685156114399433,
-0.03538752719759941,
-0.016074243932962418,
0.006078425794839859,
0.010316843166947365,
-4.884201132426824e-8,
-0.04511136934161186,
0.002980676479637623,
-0.022351257503032684,
-0.0024841390550136566,
-0.012720435857772827,
-0.02995782345533371,
0.030995337292551994,
0.005055343732237816,
0.005242533050477505,
0.08830913156270981,
-0.024883445352315903,
0.07389173656702042,
0.0007488729897886515,
0.00032836085301823914,
-0.01985880546271801,
0.034453097730875015,
-0.070097915828228,
-0.03986449912190437,
-0.05567045509815216,
-0.016666525974869728,
-0.037421245127916336,
-0.009699059650301933,
-0.02994442917406559,
-0.015953322872519493,
0.022385267540812492,
0.0586557611823082,
-0.026341140270233154,
-0.01060347817838192,
0.022143356502056122,
0.04400761052966118,
0.0014471911126747727,
-0.021436050534248352,
0.019284522160887718,
-0.10794900357723236,
-0.004088579677045345,
0.029727280139923096,
-0.08693971484899521,
0.04735082760453224,
-0.008154359646141529,
-0.0036017580423504114,
0.007480492815375328,
0.02715352363884449,
-0.057732269167900085,
-0.008399656042456627,
0.056473203003406525,
0.014252456836402416,
-0.0886559709906578,
0.03286508470773697,
-0.02648083120584488,
-0.027946345508098602,
-0.04432195425033569,
0.06866899132728577,
-0.0012553533306345344,
0.0005446802824735641,
0.01453333254903555,
-0.10757150501012802,
0.04103749990463257,
0.027038604021072388,
-0.024714015424251556,
0.0770631805062294,
0.0021684877574443817,
0.014076299034059048,
-0.10133305937051773,
-0.01096835732460022
] | null | null | null | null | null | null | null | [
-0.0207213144749403,
0.0071934787556529045,
-0.08835102617740631,
-0.10356547683477402,
-0.0346825011074543,
0.048078007996082306,
0.04878268390893936,
0.021073222160339355,
-0.046957749873399734,
0.09193381667137146,
-0.06207927316427231,
0.04811561107635498,
0.08423490077257156,
0.05715581774711609,
0.027648307383060455,
0.04374222457408905,
0.08882764726877213,
-0.00965789146721363,
-0.007995684631168842,
-0.028810927644371986,
0.014702139422297478,
-0.0626813992857933,
-0.027107054367661476,
-0.02229156903922558,
-0.008760740049183369,
-0.05573024973273277,
-0.051563043147325516,
-0.04314149543642998,
-0.01570236124098301,
-0.013320168480277061,
0.010597232729196548,
-0.008918160572648048,
0.05553209409117699,
0.027437137439846992,
-0.018124112859368324,
-0.043922774493694305,
-0.19409672915935516,
-0.07914330065250397,
-0.051045551896095276,
0.03511431813240051,
0.007754121907055378,
0.057036060839891434,
-0.068172886967659,
-0.013531993143260479,
-0.04719507321715355,
0.02529584988951683,
-0.03157975152134895,
0.11181295663118362,
0.041882406920194626,
-0.03250045329332352,
0.03854549303650856,
-0.01345591340214014,
-0.005164478439837694,
0.02256827801465988,
0.028870543465018272,
-0.0626499205827713,
-0.03365471214056015,
0.017791325226426125,
-0.01671629399061203,
-0.004804491531103849,
-0.004207808058708906,
0.0015853983350098133,
0.015474433079361916,
0.007721186615526676,
0.13632918894290924,
-0.0196693018078804,
0.019128430634737015,
0.053102340549230576,
-0.11814900487661362,
0.06195669621229172,
0.026190290227532387,
0.023982802405953407,
-0.020816192030906677,
-0.03856371343135834,
0.03377537429332733,
0.0750923603773117,
0.03111773170530796,
0.04103684797883034,
0.006505340337753296,
0.08493313938379288,
-0.05099499225616455,
-0.013805541209876537,
0.002522764028981328,
-0.027325699105858803,
-0.01935231313109398,
-0.04290085658431053,
-0.03124130144715309,
-0.07912518829107285,
0.17128969728946686,
-0.0032113611232489347,
-0.046663593500852585,
0.10917834937572479,
0.06123528257012367,
0.022141126915812492,
-0.022612007334828377,
-0.007197780534625053,
-0.06255733966827393,
-0.0678786039352417,
-0.07037293165922165,
0.0478103868663311,
-0.025902017951011658,
-0.005354053340852261,
0.1204100251197815,
-0.028420452028512955,
0.010145733132958412,
-0.021036246791481972,
-0.035692036151885986,
0.054712533950805664,
0.0360211543738842,
0.003761321073397994,
-0.03881111741065979,
0.012324744835495949,
0.05439164489507675,
-0.05108582600951195,
-0.06420678645372391,
0.009633311070501804,
0.06727727502584457,
0.05249376222491264,
0.0005708227981813252,
-0.04011025279760361,
0.005965407006442547,
-0.03270453214645386,
-0.01377223152667284,
0.03681246563792229,
0.03468087315559387,
0.06828968971967697,
-0.017292235046625137,
2.729321925798713e-33,
-0.03938523679971695,
-0.07014147192239761,
0.017367064952850342,
-0.012988378293812275,
-0.0030479184351861477,
-0.0164506733417511,
-0.042548295110464096,
0.012316514737904072,
-0.16739292442798615,
-0.05417238175868988,
0.033030230551958084,
0.11258350312709808,
0.05302391201257706,
0.03838205337524414,
0.09993711113929749,
-0.09313273429870605,
0.014971241354942322,
0.09719912707805634,
0.11672527343034744,
-0.04865837097167969,
0.0092745590955019,
-0.030147364363074303,
-0.014798743650317192,
-0.014817978255450726,
-0.010693271644413471,
-0.0410957932472229,
-0.024365216493606567,
0.005690224468708038,
0.0983847826719284,
-0.026825742796063423,
-0.004382158629596233,
-0.0020998751278966665,
0.0037570917047560215,
-0.010867996141314507,
0.02974075824022293,
0.025158286094665527,
-0.055151358246803284,
0.03968796879053116,
0.013981342315673828,
0.011949960142374039,
0.006291629280894995,
0.010720685124397278,
0.016397526487708092,
-0.007655531167984009,
-0.0860728994011879,
-0.03083723597228527,
0.020007465034723282,
0.0747794508934021,
-0.11342097818851471,
0.004741062875837088,
-0.01915844902396202,
0.03497667238116264,
0.010842546820640564,
-0.012427748180925846,
-0.012708306312561035,
-0.056250061839818954,
0.014114937745034695,
0.006093498319387436,
-0.026013070717453957,
-0.020491229370236397,
0.002985134022310376,
-0.15586450695991516,
0.05923520028591156,
-0.05324862524867058,
0.040766727179288864,
-0.001102935173548758,
-0.02287156507372856,
-0.0298494603484869,
0.07944270223379135,
-0.0038791282568126917,
-0.03521641716361046,
0.044546350836753845,
0.03976934030652046,
0.08284653723239899,
-0.07567884773015976,
0.048554617911577225,
-0.013456178829073906,
0.04863269627094269,
-0.01991518959403038,
0.009390806779265404,
-0.05811166763305664,
0.01109829731285572,
0.03255259990692139,
-0.011479177512228489,
-0.014257797040045261,
-0.035269901156425476,
0.004881598986685276,
0.0363101102411747,
0.008288273587822914,
0.020828362554311752,
-0.016346629709005356,
-0.00933597981929779,
0.01566474884748459,
0.020100155845284462,
0.07130647450685501,
-4.0818100936823276e-33,
-0.02860257588326931,
0.0003635026514530182,
-0.05958530679345131,
-0.019340548664331436,
0.04286348819732666,
0.03056241385638714,
-0.013983829878270626,
-0.07078138738870621,
-0.06736616790294647,
0.06132166087627411,
-0.04356516897678375,
0.05728715658187866,
0.07760161906480789,
-0.013410364277660847,
-0.06741030514240265,
-0.07946988195180893,
0.013538142666220665,
0.03904690220952034,
-0.048461880534887314,
0.006958456244319677,
-0.010344640351831913,
0.04572104662656784,
0.02501634694635868,
0.001382932416163385,
0.10057435929775238,
0.05380029231309891,
-0.04252048209309578,
0.013189845718443394,
-0.0602446012198925,
0.06895365566015244,
-0.04264971241354942,
-0.09503784030675888,
-0.05417114123702049,
-0.03991073742508888,
0.025092339143157005,
0.02733802981674671,
-0.01979609578847885,
0.11154291033744812,
0.039242930710315704,
0.1318272203207016,
0.06474809348583221,
-0.10136894136667252,
-0.053915493190288544,
0.08723173290491104,
0.022116491571068764,
0.006252123508602381,
-0.0045300559140741825,
-0.03503262996673584,
-0.03280973061919212,
-0.006508154794573784,
0.028300214558839798,
0.051390089094638824,
0.04328048601746559,
0.05725303292274475,
-0.033704306930303574,
-0.006313544698059559,
-0.013264114037156105,
0.012639197520911694,
0.07334389537572861,
-0.04159439355134964,
0.020046936348080635,
-0.019142042845487595,
-0.10278984904289246,
0.06270596385002136,
-0.04792838916182518,
-0.07082901149988174,
0.02226841263473034,
-0.0553445965051651,
-0.021585457026958466,
-0.018318306654691696,
0.021881410852074623,
0.07713546603918076,
0.019283706322312355,
-0.010379855521023273,
0.005600450094789267,
0.12170170992612839,
0.02729242853820324,
0.13395939767360687,
0.020962782204151154,
0.02260015532374382,
-0.059346165508031845,
0.0878567174077034,
0.0711560994386673,
-0.0389401912689209,
-0.04117041453719139,
-0.11333015561103821,
0.11805468052625656,
0.008580473251640797,
-0.07227014005184174,
-0.034826818853616714,
-0.01685156114399433,
-0.03538752719759941,
-0.016074243932962418,
0.006078425794839859,
0.010316843166947365,
-4.884201132426824e-8,
-0.04511136934161186,
0.002980676479637623,
-0.022351257503032684,
-0.0024841390550136566,
-0.012720435857772827,
-0.02995782345533371,
0.030995337292551994,
0.005055343732237816,
0.005242533050477505,
0.08830913156270981,
-0.024883445352315903,
0.07389173656702042,
0.0007488729897886515,
0.00032836085301823914,
-0.01985880546271801,
0.034453097730875015,
-0.070097915828228,
-0.03986449912190437,
-0.05567045509815216,
-0.016666525974869728,
-0.037421245127916336,
-0.009699059650301933,
-0.02994442917406559,
-0.015953322872519493,
0.022385267540812492,
0.0586557611823082,
-0.026341140270233154,
-0.01060347817838192,
0.022143356502056122,
0.04400761052966118,
0.0014471911126747727,
-0.021436050534248352,
0.019284522160887718,
-0.10794900357723236,
-0.004088579677045345,
0.029727280139923096,
-0.08693971484899521,
0.04735082760453224,
-0.008154359646141529,
-0.0036017580423504114,
0.007480492815375328,
0.02715352363884449,
-0.057732269167900085,
-0.008399656042456627,
0.056473203003406525,
0.014252456836402416,
-0.0886559709906578,
0.03286508470773697,
-0.02648083120584488,
-0.027946345508098602,
-0.04432195425033569,
0.06866899132728577,
-0.0012553533306345344,
0.0005446802824735641,
0.01453333254903555,
-0.10757150501012802,
0.04103749990463257,
0.027038604021072388,
-0.024714015424251556,
0.0770631805062294,
0.0021684877574443817,
0.014076299034059048,
-0.10133305937051773,
-0.01096835732460022
] |
1401.1761 | Grzegorz Pawlik | G. Pawlik, K. Tarnowski, W. Walasik, A.C. Mitus, I.C. Khoo | Liquid crystal hyperbolic metamaterial for wide-angle negative-positive
refraction and reflection | null | null | 10.1364/OL.39.001744 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that nanosphere dispersed liquid crystal (NDLC) metamaterial can be
characterized in near IR spectral region as an indefinite medium whose real
parts of effective ordinary and extraordinary permittivities are opposite in
signs. Based on this fact we design a novel electrooptic effect: external
electric field driven switch between normal refraction, negative refraction and
reflection of TM incident electromagnetic wave from the boundary vacuum/NDLC. A
detailed analysis of its functionality is given based on effective medium
theory combined with a study of negative refraction in anisotropic
metamaterials, and Finite Elements simulations.
| [
{
"created": "Wed, 8 Jan 2014 18:02:11 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Pawlik",
"G.",
""
],
[
"Tarnowski",
"K.",
""
],
[
"Walasik",
"W.",
""
],
[
"Mitus",
"A. C.",
""
],
[
"Khoo",
"I. C.",
""
]
] | [
0.06522233039140701,
0.041055403649806976,
0.03388095647096634,
-0.02845337800681591,
0.09773942828178406,
-0.035279300063848495,
0.051114268600940704,
0.06020810082554817,
-0.044584326446056366,
0.016779152676463127,
0.042661115527153015,
0.018554484471678734,
-0.016839632764458656,
0.016465995460748672,
0.058140527456998825,
-0.019151082262396812,
0.11411935091018677,
-0.03452734276652336,
0.04535764828324318,
0.0393158495426178,
0.05592380836606026,
-0.05316068232059479,
0.03965543210506439,
-0.10274893790483475,
-0.05425642058253288,
0.024802157655358315,
0.020342502743005753,
0.040077753365039825,
-0.014087256975471973,
-0.0685758888721466,
-0.010886571370065212,
0.07124358415603638,
-0.08912509679794312,
0.007940836250782013,
-0.031117068603634834,
0.0052956645376980305,
0.07694597542285919,
0.04447486996650696,
-0.07083084434270859,
0.006709400564432144,
0.009955533780157566,
-0.009397725574672222,
0.0047083646059036255,
-0.015618652105331421,
-0.06585228443145752,
-0.05349620059132576,
0.04884127527475357,
0.018974319100379944,
0.023098336532711983,
-0.0008931683842092752,
-0.022288154810667038,
0.030998045578598976,
-0.0880437046289444,
0.07250147312879562,
0.023415211588144302,
0.04134030267596245,
0.06530068069696426,
-0.04541107267141342,
-0.01572277955710888,
-0.03275318816304207,
-0.00007182552508311346,
-0.02590637281537056,
-0.0015472840750589967,
-0.07893576472997665,
0.03274476155638695,
0.036461878567934036,
-0.06223643943667412,
-0.005663934163749218,
-0.016117366030812263,
-0.04495004937052727,
0.07154488563537598,
-0.01056659035384655,
0.014580093324184418,
-0.05623963102698326,
-0.025418095290660858,
0.03038528375327587,
-0.0619673915207386,
0.08668648451566696,
-0.0018943548202514648,
0.08241748064756393,
-0.036717403680086136,
0.010117429308593273,
-0.07334575057029724,
0.08749046921730042,
0.009549172595143318,
-0.04514515772461891,
-0.051721375435590744,
-0.014917387627065182,
-0.008884555660188198,
0.026516808196902275,
0.053843818604946136,
0.01029292680323124,
-0.0383811853826046,
-0.0572906993329525,
-0.02897057868540287,
-0.03858144208788872,
-0.061069320887327194,
-0.0504666306078434,
-0.004171551205217838,
-0.01881079562008381,
0.07839193195104599,
0.00022653251653537154,
-0.018004395067691803,
0.03260152041912079,
-0.019457267597317696,
-0.07096511125564575,
0.09044862538576126,
0.04503542557358742,
-0.020635275170207024,
-0.010478070005774498,
0.01414573099464178,
0.014914605766534805,
-0.058015577495098114,
0.00680412957444787,
0.0018443047301843762,
0.08196557313203812,
-0.028593016788363457,
0.011514373123645782,
0.013107690960168839,
0.01465012226253748,
-0.014478420838713646,
0.116486094892025,
-0.08146706968545914,
0.103079654276371,
0.06263140588998795,
0.04693467542529106,
-0.027929825708270073,
1.8121554992100775e-33,
-0.0032997841481119394,
0.03514114022254944,
0.03722582757472992,
0.05991187319159508,
0.03812163695693016,
-0.0010139584774151444,
0.04763302579522133,
0.061083339154720306,
0.016802994534373283,
-0.0036430470645427704,
0.06539863348007202,
0.08926057815551758,
0.0025170750450342894,
-0.05188269168138504,
-0.012519857846200466,
-0.05582577362656593,
0.0482596792280674,
-0.01227649673819542,
-0.04500953480601311,
0.04403705149888992,
0.06309391558170319,
0.03775763511657715,
0.029249899089336395,
-0.07830919325351715,
-0.056763701140880585,
-0.021179022267460823,
-0.08341292291879654,
0.040881119668483734,
0.1237579956650734,
0.006180738098919392,
-0.027630701661109924,
0.04721103236079216,
0.09272857755422592,
0.059313688427209854,
0.048002634197473526,
0.029164733365178108,
-0.04894960671663284,
-0.004422830417752266,
0.053625304251909256,
0.0005189393414184451,
-0.07251650094985962,
0.048504672944545746,
0.045327723026275635,
-0.02426433190703392,
0.008640252985060215,
-0.01683836057782173,
-0.01411706767976284,
-0.040556687861680984,
0.030139485374093056,
-0.08077575266361237,
0.05053770914673805,
-0.05511597916483879,
-0.047797493636608124,
0.04019855335354805,
0.04146604612469673,
0.020363394170999527,
-0.07903976738452911,
0.12378097325563431,
-0.0300048366189003,
-0.0706576555967331,
0.08039797097444534,
-0.042155683040618896,
-0.04109194502234459,
0.004662622231990099,
0.012827640399336815,
0.04222077503800392,
0.0023764357902109623,
-0.019830288365483284,
0.0050430698320269585,
-0.04147800803184509,
0.00782102532684803,
0.06731642037630081,
0.02584291435778141,
0.05654444172978401,
-0.005260119214653969,
-0.014083409681916237,
0.00968093890696764,
-0.16287395358085632,
0.12502405047416687,
0.022289246320724487,
-0.08646475523710251,
-0.019505713135004044,
-0.09831546247005463,
-0.08414630591869354,
-0.025637293234467506,
-0.015268302522599697,
-0.01756906323134899,
0.022758258506655693,
0.022780809551477432,
-0.1344251185655594,
0.056949835270643234,
-0.030126506462693214,
0.011266347952187061,
-0.007711864076554775,
-0.05362407863140106,
-4.7410203461257584e-33,
-0.02715018391609192,
-0.0848836824297905,
-0.006732487585395575,
-0.0414254367351532,
0.09920234978199005,
0.026205839589238167,
0.053603317588567734,
0.08569789677858353,
-0.04928240925073624,
0.003883321536704898,
0.02893577143549919,
-0.02492394484579563,
0.018815752118825912,
0.005660693626850843,
-0.07903517782688141,
-0.01396970171481371,
0.05903824791312218,
-0.04491030052304268,
0.12106878310441971,
-0.010903781279921532,
-0.11564388871192932,
-0.022800851613283157,
0.08176237344741821,
0.07748167216777802,
-0.10215933620929718,
0.008505996316671371,
0.0322766937315464,
0.02119443379342556,
-0.09984228760004044,
0.04272308945655823,
-0.003455694764852524,
0.05917513743042946,
0.032346464693546295,
0.03137172758579254,
0.03675547614693642,
0.05595171079039574,
-0.03629075363278389,
-0.02870299108326435,
-0.0117037957534194,
-0.007627533283084631,
0.026738962158560753,
-0.03636546805500984,
0.025720687583088875,
-0.04328729212284088,
-0.07649526745080948,
0.04130665957927704,
-0.06902420520782471,
-0.017416978254914284,
-0.013832375407218933,
-0.10315903276205063,
-0.025049321353435516,
-0.08812180906534195,
0.010523720644414425,
-0.05026232451200485,
-0.07016118615865707,
-0.0020454495679587126,
-0.03840533643960953,
0.03879095986485481,
0.04569463059306145,
0.08556908369064331,
0.007786085829138756,
0.08704483509063721,
-0.0005799917853437364,
-0.04402860999107361,
0.012427550740540028,
0.0330657996237278,
0.019980670884251595,
0.00015946353960316628,
0.004017628263682127,
-0.008382814936339855,
0.015912039205431938,
0.053208477795124054,
-0.03538762778043747,
-0.028528554365038872,
0.058195751160383224,
-0.013856044970452785,
0.027643315494060516,
-0.00019646549480967224,
-0.11200976371765137,
0.023159900680184364,
0.00788087584078312,
0.11722391098737717,
-0.11036381870508194,
-0.06089802831411362,
-0.02722834050655365,
-0.05903419479727745,
-0.04106864705681801,
0.03693823516368866,
-0.0728650689125061,
0.0641416683793068,
0.014907017350196838,
-0.038292668759822845,
-0.008763110265135765,
0.024906370788812637,
0.07589320838451385,
-4.0425604197480425e-8,
0.048073988407850266,
0.03281758353114128,
0.05344866216182709,
-0.0375182144343853,
-0.0703759491443634,
-0.03815210238099098,
-0.03741537407040596,
-0.09598086029291153,
0.013996942900121212,
-0.04780152812600136,
-0.03552765026688576,
-0.038970205932855606,
-0.027805427089333534,
-0.009193369187414646,
-0.037060320377349854,
0.016423191875219345,
0.032415296882390976,
-0.029272977262735367,
0.01983489841222763,
-0.010683421976864338,
0.010246558114886284,
0.006845713593065739,
0.014569553546607494,
-0.03741858899593353,
-0.041466761380434036,
0.07540691643953323,
-0.009276540949940681,
-0.08638548851013184,
0.03391058370471001,
0.01231354009360075,
-0.0466826893389225,
-0.02075495570898056,
-0.0006356686353683472,
0.0956011414527893,
-0.09778875857591629,
0.012838984839618206,
-0.048162948340177536,
-0.04718790948390961,
-0.06632967293262482,
-0.021839888766407967,
0.09338351339101791,
0.03175750747323036,
-0.05055918172001839,
-0.05478662624955177,
0.005013249348849058,
0.012188448570668697,
0.001303160097450018,
0.018505418673157692,
-0.05645265057682991,
0.08655890077352524,
-0.031585805118083954,
-0.005872529000043869,
-0.05494678393006325,
0.03632478043437004,
-0.005138792097568512,
-0.025179201737046242,
-0.1243201345205307,
0.059412285685539246,
-0.07430462539196014,
-0.05482853204011917,
0.06368997693061829,
-0.055923428386449814,
-0.03472549840807915,
0.05580645799636841
] | null | null | null | null | null | null | null | [
0.06522233039140701,
0.041055403649806976,
0.03388095647096634,
-0.02845337800681591,
0.09773942828178406,
-0.035279300063848495,
0.051114268600940704,
0.06020810082554817,
-0.044584326446056366,
0.016779152676463127,
0.042661115527153015,
0.018554484471678734,
-0.016839632764458656,
0.016465995460748672,
0.058140527456998825,
-0.019151082262396812,
0.11411935091018677,
-0.03452734276652336,
0.04535764828324318,
0.0393158495426178,
0.05592380836606026,
-0.05316068232059479,
0.03965543210506439,
-0.10274893790483475,
-0.05425642058253288,
0.024802157655358315,
0.020342502743005753,
0.040077753365039825,
-0.014087256975471973,
-0.0685758888721466,
-0.010886571370065212,
0.07124358415603638,
-0.08912509679794312,
0.007940836250782013,
-0.031117068603634834,
0.0052956645376980305,
0.07694597542285919,
0.04447486996650696,
-0.07083084434270859,
0.006709400564432144,
0.009955533780157566,
-0.009397725574672222,
0.0047083646059036255,
-0.015618652105331421,
-0.06585228443145752,
-0.05349620059132576,
0.04884127527475357,
0.018974319100379944,
0.023098336532711983,
-0.0008931683842092752,
-0.022288154810667038,
0.030998045578598976,
-0.0880437046289444,
0.07250147312879562,
0.023415211588144302,
0.04134030267596245,
0.06530068069696426,
-0.04541107267141342,
-0.01572277955710888,
-0.03275318816304207,
-0.00007182552508311346,
-0.02590637281537056,
-0.0015472840750589967,
-0.07893576472997665,
0.03274476155638695,
0.036461878567934036,
-0.06223643943667412,
-0.005663934163749218,
-0.016117366030812263,
-0.04495004937052727,
0.07154488563537598,
-0.01056659035384655,
0.014580093324184418,
-0.05623963102698326,
-0.025418095290660858,
0.03038528375327587,
-0.0619673915207386,
0.08668648451566696,
-0.0018943548202514648,
0.08241748064756393,
-0.036717403680086136,
0.010117429308593273,
-0.07334575057029724,
0.08749046921730042,
0.009549172595143318,
-0.04514515772461891,
-0.051721375435590744,
-0.014917387627065182,
-0.008884555660188198,
0.026516808196902275,
0.053843818604946136,
0.01029292680323124,
-0.0383811853826046,
-0.0572906993329525,
-0.02897057868540287,
-0.03858144208788872,
-0.061069320887327194,
-0.0504666306078434,
-0.004171551205217838,
-0.01881079562008381,
0.07839193195104599,
0.00022653251653537154,
-0.018004395067691803,
0.03260152041912079,
-0.019457267597317696,
-0.07096511125564575,
0.09044862538576126,
0.04503542557358742,
-0.020635275170207024,
-0.010478070005774498,
0.01414573099464178,
0.014914605766534805,
-0.058015577495098114,
0.00680412957444787,
0.0018443047301843762,
0.08196557313203812,
-0.028593016788363457,
0.011514373123645782,
0.013107690960168839,
0.01465012226253748,
-0.014478420838713646,
0.116486094892025,
-0.08146706968545914,
0.103079654276371,
0.06263140588998795,
0.04693467542529106,
-0.027929825708270073,
1.8121554992100775e-33,
-0.0032997841481119394,
0.03514114022254944,
0.03722582757472992,
0.05991187319159508,
0.03812163695693016,
-0.0010139584774151444,
0.04763302579522133,
0.061083339154720306,
0.016802994534373283,
-0.0036430470645427704,
0.06539863348007202,
0.08926057815551758,
0.0025170750450342894,
-0.05188269168138504,
-0.012519857846200466,
-0.05582577362656593,
0.0482596792280674,
-0.01227649673819542,
-0.04500953480601311,
0.04403705149888992,
0.06309391558170319,
0.03775763511657715,
0.029249899089336395,
-0.07830919325351715,
-0.056763701140880585,
-0.021179022267460823,
-0.08341292291879654,
0.040881119668483734,
0.1237579956650734,
0.006180738098919392,
-0.027630701661109924,
0.04721103236079216,
0.09272857755422592,
0.059313688427209854,
0.048002634197473526,
0.029164733365178108,
-0.04894960671663284,
-0.004422830417752266,
0.053625304251909256,
0.0005189393414184451,
-0.07251650094985962,
0.048504672944545746,
0.045327723026275635,
-0.02426433190703392,
0.008640252985060215,
-0.01683836057782173,
-0.01411706767976284,
-0.040556687861680984,
0.030139485374093056,
-0.08077575266361237,
0.05053770914673805,
-0.05511597916483879,
-0.047797493636608124,
0.04019855335354805,
0.04146604612469673,
0.020363394170999527,
-0.07903976738452911,
0.12378097325563431,
-0.0300048366189003,
-0.0706576555967331,
0.08039797097444534,
-0.042155683040618896,
-0.04109194502234459,
0.004662622231990099,
0.012827640399336815,
0.04222077503800392,
0.0023764357902109623,
-0.019830288365483284,
0.0050430698320269585,
-0.04147800803184509,
0.00782102532684803,
0.06731642037630081,
0.02584291435778141,
0.05654444172978401,
-0.005260119214653969,
-0.014083409681916237,
0.00968093890696764,
-0.16287395358085632,
0.12502405047416687,
0.022289246320724487,
-0.08646475523710251,
-0.019505713135004044,
-0.09831546247005463,
-0.08414630591869354,
-0.025637293234467506,
-0.015268302522599697,
-0.01756906323134899,
0.022758258506655693,
0.022780809551477432,
-0.1344251185655594,
0.056949835270643234,
-0.030126506462693214,
0.011266347952187061,
-0.007711864076554775,
-0.05362407863140106,
-4.7410203461257584e-33,
-0.02715018391609192,
-0.0848836824297905,
-0.006732487585395575,
-0.0414254367351532,
0.09920234978199005,
0.026205839589238167,
0.053603317588567734,
0.08569789677858353,
-0.04928240925073624,
0.003883321536704898,
0.02893577143549919,
-0.02492394484579563,
0.018815752118825912,
0.005660693626850843,
-0.07903517782688141,
-0.01396970171481371,
0.05903824791312218,
-0.04491030052304268,
0.12106878310441971,
-0.010903781279921532,
-0.11564388871192932,
-0.022800851613283157,
0.08176237344741821,
0.07748167216777802,
-0.10215933620929718,
0.008505996316671371,
0.0322766937315464,
0.02119443379342556,
-0.09984228760004044,
0.04272308945655823,
-0.003455694764852524,
0.05917513743042946,
0.032346464693546295,
0.03137172758579254,
0.03675547614693642,
0.05595171079039574,
-0.03629075363278389,
-0.02870299108326435,
-0.0117037957534194,
-0.007627533283084631,
0.026738962158560753,
-0.03636546805500984,
0.025720687583088875,
-0.04328729212284088,
-0.07649526745080948,
0.04130665957927704,
-0.06902420520782471,
-0.017416978254914284,
-0.013832375407218933,
-0.10315903276205063,
-0.025049321353435516,
-0.08812180906534195,
0.010523720644414425,
-0.05026232451200485,
-0.07016118615865707,
-0.0020454495679587126,
-0.03840533643960953,
0.03879095986485481,
0.04569463059306145,
0.08556908369064331,
0.007786085829138756,
0.08704483509063721,
-0.0005799917853437364,
-0.04402860999107361,
0.012427550740540028,
0.0330657996237278,
0.019980670884251595,
0.00015946353960316628,
0.004017628263682127,
-0.008382814936339855,
0.015912039205431938,
0.053208477795124054,
-0.03538762778043747,
-0.028528554365038872,
0.058195751160383224,
-0.013856044970452785,
0.027643315494060516,
-0.00019646549480967224,
-0.11200976371765137,
0.023159900680184364,
0.00788087584078312,
0.11722391098737717,
-0.11036381870508194,
-0.06089802831411362,
-0.02722834050655365,
-0.05903419479727745,
-0.04106864705681801,
0.03693823516368866,
-0.0728650689125061,
0.0641416683793068,
0.014907017350196838,
-0.038292668759822845,
-0.008763110265135765,
0.024906370788812637,
0.07589320838451385,
-4.0425604197480425e-8,
0.048073988407850266,
0.03281758353114128,
0.05344866216182709,
-0.0375182144343853,
-0.0703759491443634,
-0.03815210238099098,
-0.03741537407040596,
-0.09598086029291153,
0.013996942900121212,
-0.04780152812600136,
-0.03552765026688576,
-0.038970205932855606,
-0.027805427089333534,
-0.009193369187414646,
-0.037060320377349854,
0.016423191875219345,
0.032415296882390976,
-0.029272977262735367,
0.01983489841222763,
-0.010683421976864338,
0.010246558114886284,
0.006845713593065739,
0.014569553546607494,
-0.03741858899593353,
-0.041466761380434036,
0.07540691643953323,
-0.009276540949940681,
-0.08638548851013184,
0.03391058370471001,
0.01231354009360075,
-0.0466826893389225,
-0.02075495570898056,
-0.0006356686353683472,
0.0956011414527893,
-0.09778875857591629,
0.012838984839618206,
-0.048162948340177536,
-0.04718790948390961,
-0.06632967293262482,
-0.021839888766407967,
0.09338351339101791,
0.03175750747323036,
-0.05055918172001839,
-0.05478662624955177,
0.005013249348849058,
0.012188448570668697,
0.001303160097450018,
0.018505418673157692,
-0.05645265057682991,
0.08655890077352524,
-0.031585805118083954,
-0.005872529000043869,
-0.05494678393006325,
0.03632478043437004,
-0.005138792097568512,
-0.025179201737046242,
-0.1243201345205307,
0.059412285685539246,
-0.07430462539196014,
-0.05482853204011917,
0.06368997693061829,
-0.055923428386449814,
-0.03472549840807915,
0.05580645799636841
] |
1401.1762 | William Hoover | Julien Clinton Sprott, William Graham Hoover, and Carol Griswold
Hoover | Heat Conduction, and the Lack Thereof, in Time-Reversible Dynamical
Systems: Generalized Nos\'e-Hoover Oscillators with a Temperature Gradient | Fifteen pages and six figures, incorporating two rounds of referees'
suggestions for Physical Review E | null | 10.1103/PhysRevE.89.042914 | null | cond-mat.stat-mech nlin.CD physics.class-ph physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use nonequilibrium molecular dynamics to analyze and illustrate the
qualitative differences between the one-thermostat and two-thermostat versions
of equilibrium and nonequilibrium (heat-conducting) harmonic oscillators.
Conservative nonconducting regions can coexist with dissipative heat conducting
regions in phase space with exactly the same imposed temperature field.
| [
{
"created": "Wed, 8 Jan 2014 18:03:13 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jan 2014 18:35:24 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Feb 2014 22:47:10 GMT",
"version": "v3"
},
{
"created": "Sun, 13 Apr 2014 02:16:58 GMT",
"version": "v4"
}
] | 2015-06-18 | [
[
"Sprott",
"Julien Clinton",
""
],
[
"Hoover",
"William Graham",
""
],
[
"Hoover",
"Carol Griswold",
""
]
] | [
-0.003793139010667801,
-0.03959285095334053,
-0.027821719646453857,
0.04055703803896904,
-0.03821900859475136,
0.0019244415452703834,
-0.0809967964887619,
-0.04666305333375931,
0.08662872016429901,
-0.003785364329814911,
0.019218306988477707,
-0.11192037165164948,
0.03839071840047836,
-0.04488513246178627,
0.04749181866645813,
-0.03550555184483528,
-0.028408482670783997,
-0.026578109711408615,
0.05220707878470421,
-0.0007773058023303747,
-0.0558847039937973,
-0.011574010364711285,
0.041185859590768814,
0.03119700960814953,
-0.03639319911599159,
0.019778314977884293,
0.0014235858106985688,
0.07258075475692749,
-0.00627544429153204,
-0.007411826867610216,
-0.04431961849331856,
-0.0015316340140998363,
-0.08662506937980652,
0.07196734100580215,
0.036485835909843445,
-0.005306897684931755,
-0.009015838615596294,
0.05032375454902649,
-0.12000875920057297,
-0.021131886169314384,
0.0349152646958828,
0.08811026811599731,
0.01193473394960165,
0.07682564109563828,
-0.0026740683242678642,
-0.013309739530086517,
-0.06404537707567215,
-0.03760182484984398,
-0.07902194559574127,
-0.08115018904209137,
0.026505010202527046,
0.03704660013318062,
0.027541611343622208,
0.053505126386880875,
-0.050316110253334045,
0.0956740751862526,
-0.030863456428050995,
0.056275513023138046,
0.006144710350781679,
-0.03767620027065277,
0.028013400733470917,
0.0465279184281826,
-0.019488224759697914,
0.004906256217509508,
0.05021115019917488,
-0.01777433231472969,
0.12893980741500854,
0.02363543026149273,
0.06236746534705162,
-0.015399983152747154,
-0.09149879962205887,
-0.015708358958363533,
0.008955477736890316,
-0.08659738302230835,
0.031632546335458755,
0.0065713864751160145,
-0.04243854433298111,
0.05842464789748192,
0.04669149965047836,
0.018042149022221565,
0.012115927413105965,
-0.08637294173240662,
-0.046360909938812256,
0.004325718618929386,
-0.08220825344324112,
-0.07809298485517502,
0.03094107285141945,
-0.04655520245432854,
0.11800868809223175,
-0.04396402835845947,
-0.08575598150491714,
0.03781965374946594,
0.007352035958319902,
-0.09460697323083878,
-0.011307979933917522,
-0.018414538353681564,
0.0973728746175766,
0.14357922971248627,
0.04941677674651146,
-0.018946904689073563,
0.08060140162706375,
-0.05729258432984352,
-0.0508350171148777,
0.07726062834262848,
0.027938634157180786,
0.02918885461986065,
0.069283626973629,
-0.050618208944797516,
0.014121465384960175,
0.013771064579486847,
-0.010019293986260891,
0.06238291412591934,
0.059749290347099304,
0.042133916169404984,
0.001132102101109922,
-0.010943633504211903,
-0.012934782542288303,
0.05522597208619118,
0.022699320688843727,
0.08514127880334854,
-0.06079509109258652,
-0.02676464430987835,
-0.05008101463317871,
0.012553309090435505,
-0.08276721835136414,
-0.01747298613190651,
-0.047836918383836746,
3.450816481104432e-33,
0.06259762495756149,
-0.03247252479195595,
0.08283104747533798,
-0.030489211902022362,
0.05869400501251221,
0.01522553339600563,
-0.052388034760951996,
-0.020066244527697563,
-0.02083555795252323,
0.00831505749374628,
0.06608256697654724,
0.06204667687416077,
0.009588642045855522,
0.008012249134480953,
0.001776795252226293,
-0.011243334971368313,
-0.047459229826927185,
-0.01774442382156849,
0.003970528952777386,
0.07563836127519608,
-0.06044254079461098,
0.12129277735948563,
0.006790663115680218,
0.0003000551660079509,
0.0045640249736607075,
0.012045557610690594,
-0.0030027315951883793,
0.00889052264392376,
-0.07878030091524124,
0.017984895035624504,
-0.013630873523652554,
-0.05104930326342583,
-0.13410784304141998,
0.016232823953032494,
0.09517110139131546,
-0.05281779542565346,
-0.031689535826444626,
0.019233623519539833,
0.020922457799315453,
0.00182638771366328,
-0.03460288792848587,
-0.056879665702581406,
0.03870827332139015,
-0.007201686501502991,
0.010860093869268894,
0.012927060015499592,
0.05862768739461899,
0.060458503663539886,
-0.04618401825428009,
0.029258444905281067,
-0.03734028339385986,
-0.016544664278626442,
0.03709300979971886,
-0.048303909599781036,
0.05976827070116997,
-0.04914338141679764,
0.03561919927597046,
-0.024388449266552925,
-0.08732125908136368,
0.021181533113121986,
-0.01627146266400814,
0.0034129112027585506,
-0.0452527217566967,
-0.11650119721889496,
-0.021159576252102852,
0.06813665479421616,
-0.08154421299695969,
-0.07020120322704315,
0.02721942588686943,
-0.04081442579627037,
0.025697452947497368,
0.13627295196056366,
0.0038333784323185682,
0.008225844241678715,
0.05350581184029579,
0.021335506811738014,
-0.05112264305353165,
0.03793952241539955,
-0.017527351155877113,
-0.02721049264073372,
0.031214319169521332,
-0.08320315182209015,
-0.011833111755549908,
0.07469679415225983,
-0.05701252818107605,
-0.10209167003631592,
0.05645715445280075,
0.05311784893274307,
-0.03701533004641533,
0.06222517788410187,
0.03363463655114174,
-0.07243607938289642,
0.04178841784596443,
0.07300352305173874,
0.08597888052463531,
-5.96337210582373e-33,
0.023493105545639992,
-0.031025629490613937,
0.007989557459950447,
0.0014676719438284636,
-0.04530727490782738,
0.10671989619731903,
0.004312616307288408,
0.0048081171698868275,
0.05889224261045456,
-0.03072436712682247,
0.08643428236246109,
-0.01404909323900938,
-0.02339783124625683,
-0.04863693565130234,
-0.013461410067975521,
-0.013247346505522728,
0.0653037577867508,
0.053973130881786346,
0.08957422524690628,
0.040807951241731644,
-0.033173203468322754,
0.010045160539448261,
-0.028208158910274506,
0.030462587252259254,
-0.03111356869339943,
-0.02561017870903015,
-0.00944098737090826,
0.02929898537695408,
-0.06355004757642746,
0.0705902948975563,
-0.013961954973638058,
0.04346144571900368,
0.015005707740783691,
-0.06970768421888351,
-0.07975845038890839,
0.030261758714914322,
0.008739743381738663,
0.025481507182121277,
0.03382369503378868,
-0.02801324427127838,
0.019837016239762306,
-0.02989393100142479,
0.033052440732717514,
0.04739643260836601,
0.0422942079603672,
0.019742021337151527,
-0.06302396208047867,
-0.04368594288825989,
0.015484818257391453,
0.019494442269206047,
0.006970430724322796,
-0.06253637373447418,
-0.0056370217353105545,
-0.03338690847158432,
-0.02684234455227852,
0.007722923997789621,
-0.06411019712686539,
0.05915176123380661,
0.03290144354104996,
-0.04311903938651085,
-0.02030366286635399,
-0.07509222626686096,
0.0025403115432709455,
0.024308742955327034,
-0.09937187284231186,
-0.02793966606259346,
-0.06870988011360168,
0.0005104070296511054,
0.11059879511594772,
-0.0547742024064064,
-0.00946025736629963,
0.01455483864992857,
0.0724475309252739,
-0.06962891668081284,
0.04953453689813614,
0.026958836242556572,
0.05060502141714096,
-0.09436729550361633,
-0.03598475828766823,
-0.02142811380326748,
-0.000018015774912782945,
0.07597935944795609,
-0.04422038048505783,
-0.09750598669052124,
-0.010202232748270035,
-0.06908810138702393,
0.055288586765527725,
-0.025167446583509445,
-0.07128611207008362,
-0.03186071291565895,
0.054429635405540466,
0.030907336622476578,
-0.008679196238517761,
0.024577056989073753,
0.025649061426520348,
-3.962073336083449e-8,
0.17531833052635193,
-0.021388832479715347,
0.07108308374881744,
0.005908196326345205,
0.008677413687109947,
0.07954703271389008,
0.001662815804593265,
-0.055399246513843536,
0.03489973768591881,
0.08397098630666733,
0.08408946543931961,
0.09303013980388641,
0.029115933924913406,
-0.05504242330789566,
-0.03523813188076019,
0.03883419558405876,
-0.03773898258805275,
0.00264321849681437,
-0.028915176168084145,
-0.020219719037413597,
-0.013133269734680653,
0.011810471303761005,
-0.018933603540062904,
0.002587323309853673,
0.06337273865938187,
-0.004754834342747927,
-0.03307613357901573,
-0.07702362537384033,
-0.013180913403630257,
-0.03242909908294678,
-0.05933818221092224,
-0.009627453982830048,
0.005058675073087215,
-0.0027448248583823442,
-0.031149085611104965,
-0.017840906977653503,
-0.020899541676044464,
0.051273223012685776,
-0.00513078598305583,
-0.060610320419073105,
-0.020104998722672462,
0.07929205149412155,
-0.10649599134922028,
0.03702036291360855,
0.029413435608148575,
-0.013575872406363487,
-0.045990943908691406,
0.07515440136194229,
0.013008590787649155,
0.00697338068857789,
-0.013060773722827435,
0.03421486169099808,
-0.057675063610076904,
-0.013036580756306648,
-0.10554300993680954,
-0.0593530610203743,
-0.05749622359871864,
-0.0052469028159976006,
-0.011755763553082943,
0.023359300568699837,
-0.06447001546621323,
-0.04472482204437256,
-0.07509677857160568,
-0.08587529510259628
] | null | null | null | null | null | null | null | [
-0.003793139010667801,
-0.03959285095334053,
-0.027821719646453857,
0.04055703803896904,
-0.03821900859475136,
0.0019244415452703834,
-0.0809967964887619,
-0.04666305333375931,
0.08662872016429901,
-0.003785364329814911,
0.019218306988477707,
-0.11192037165164948,
0.03839071840047836,
-0.04488513246178627,
0.04749181866645813,
-0.03550555184483528,
-0.028408482670783997,
-0.026578109711408615,
0.05220707878470421,
-0.0007773058023303747,
-0.0558847039937973,
-0.011574010364711285,
0.041185859590768814,
0.03119700960814953,
-0.03639319911599159,
0.019778314977884293,
0.0014235858106985688,
0.07258075475692749,
-0.00627544429153204,
-0.007411826867610216,
-0.04431961849331856,
-0.0015316340140998363,
-0.08662506937980652,
0.07196734100580215,
0.036485835909843445,
-0.005306897684931755,
-0.009015838615596294,
0.05032375454902649,
-0.12000875920057297,
-0.021131886169314384,
0.0349152646958828,
0.08811026811599731,
0.01193473394960165,
0.07682564109563828,
-0.0026740683242678642,
-0.013309739530086517,
-0.06404537707567215,
-0.03760182484984398,
-0.07902194559574127,
-0.08115018904209137,
0.026505010202527046,
0.03704660013318062,
0.027541611343622208,
0.053505126386880875,
-0.050316110253334045,
0.0956740751862526,
-0.030863456428050995,
0.056275513023138046,
0.006144710350781679,
-0.03767620027065277,
0.028013400733470917,
0.0465279184281826,
-0.019488224759697914,
0.004906256217509508,
0.05021115019917488,
-0.01777433231472969,
0.12893980741500854,
0.02363543026149273,
0.06236746534705162,
-0.015399983152747154,
-0.09149879962205887,
-0.015708358958363533,
0.008955477736890316,
-0.08659738302230835,
0.031632546335458755,
0.0065713864751160145,
-0.04243854433298111,
0.05842464789748192,
0.04669149965047836,
0.018042149022221565,
0.012115927413105965,
-0.08637294173240662,
-0.046360909938812256,
0.004325718618929386,
-0.08220825344324112,
-0.07809298485517502,
0.03094107285141945,
-0.04655520245432854,
0.11800868809223175,
-0.04396402835845947,
-0.08575598150491714,
0.03781965374946594,
0.007352035958319902,
-0.09460697323083878,
-0.011307979933917522,
-0.018414538353681564,
0.0973728746175766,
0.14357922971248627,
0.04941677674651146,
-0.018946904689073563,
0.08060140162706375,
-0.05729258432984352,
-0.0508350171148777,
0.07726062834262848,
0.027938634157180786,
0.02918885461986065,
0.069283626973629,
-0.050618208944797516,
0.014121465384960175,
0.013771064579486847,
-0.010019293986260891,
0.06238291412591934,
0.059749290347099304,
0.042133916169404984,
0.001132102101109922,
-0.010943633504211903,
-0.012934782542288303,
0.05522597208619118,
0.022699320688843727,
0.08514127880334854,
-0.06079509109258652,
-0.02676464430987835,
-0.05008101463317871,
0.012553309090435505,
-0.08276721835136414,
-0.01747298613190651,
-0.047836918383836746,
3.450816481104432e-33,
0.06259762495756149,
-0.03247252479195595,
0.08283104747533798,
-0.030489211902022362,
0.05869400501251221,
0.01522553339600563,
-0.052388034760951996,
-0.020066244527697563,
-0.02083555795252323,
0.00831505749374628,
0.06608256697654724,
0.06204667687416077,
0.009588642045855522,
0.008012249134480953,
0.001776795252226293,
-0.011243334971368313,
-0.047459229826927185,
-0.01774442382156849,
0.003970528952777386,
0.07563836127519608,
-0.06044254079461098,
0.12129277735948563,
0.006790663115680218,
0.0003000551660079509,
0.0045640249736607075,
0.012045557610690594,
-0.0030027315951883793,
0.00889052264392376,
-0.07878030091524124,
0.017984895035624504,
-0.013630873523652554,
-0.05104930326342583,
-0.13410784304141998,
0.016232823953032494,
0.09517110139131546,
-0.05281779542565346,
-0.031689535826444626,
0.019233623519539833,
0.020922457799315453,
0.00182638771366328,
-0.03460288792848587,
-0.056879665702581406,
0.03870827332139015,
-0.007201686501502991,
0.010860093869268894,
0.012927060015499592,
0.05862768739461899,
0.060458503663539886,
-0.04618401825428009,
0.029258444905281067,
-0.03734028339385986,
-0.016544664278626442,
0.03709300979971886,
-0.048303909599781036,
0.05976827070116997,
-0.04914338141679764,
0.03561919927597046,
-0.024388449266552925,
-0.08732125908136368,
0.021181533113121986,
-0.01627146266400814,
0.0034129112027585506,
-0.0452527217566967,
-0.11650119721889496,
-0.021159576252102852,
0.06813665479421616,
-0.08154421299695969,
-0.07020120322704315,
0.02721942588686943,
-0.04081442579627037,
0.025697452947497368,
0.13627295196056366,
0.0038333784323185682,
0.008225844241678715,
0.05350581184029579,
0.021335506811738014,
-0.05112264305353165,
0.03793952241539955,
-0.017527351155877113,
-0.02721049264073372,
0.031214319169521332,
-0.08320315182209015,
-0.011833111755549908,
0.07469679415225983,
-0.05701252818107605,
-0.10209167003631592,
0.05645715445280075,
0.05311784893274307,
-0.03701533004641533,
0.06222517788410187,
0.03363463655114174,
-0.07243607938289642,
0.04178841784596443,
0.07300352305173874,
0.08597888052463531,
-5.96337210582373e-33,
0.023493105545639992,
-0.031025629490613937,
0.007989557459950447,
0.0014676719438284636,
-0.04530727490782738,
0.10671989619731903,
0.004312616307288408,
0.0048081171698868275,
0.05889224261045456,
-0.03072436712682247,
0.08643428236246109,
-0.01404909323900938,
-0.02339783124625683,
-0.04863693565130234,
-0.013461410067975521,
-0.013247346505522728,
0.0653037577867508,
0.053973130881786346,
0.08957422524690628,
0.040807951241731644,
-0.033173203468322754,
0.010045160539448261,
-0.028208158910274506,
0.030462587252259254,
-0.03111356869339943,
-0.02561017870903015,
-0.00944098737090826,
0.02929898537695408,
-0.06355004757642746,
0.0705902948975563,
-0.013961954973638058,
0.04346144571900368,
0.015005707740783691,
-0.06970768421888351,
-0.07975845038890839,
0.030261758714914322,
0.008739743381738663,
0.025481507182121277,
0.03382369503378868,
-0.02801324427127838,
0.019837016239762306,
-0.02989393100142479,
0.033052440732717514,
0.04739643260836601,
0.0422942079603672,
0.019742021337151527,
-0.06302396208047867,
-0.04368594288825989,
0.015484818257391453,
0.019494442269206047,
0.006970430724322796,
-0.06253637373447418,
-0.0056370217353105545,
-0.03338690847158432,
-0.02684234455227852,
0.007722923997789621,
-0.06411019712686539,
0.05915176123380661,
0.03290144354104996,
-0.04311903938651085,
-0.02030366286635399,
-0.07509222626686096,
0.0025403115432709455,
0.024308742955327034,
-0.09937187284231186,
-0.02793966606259346,
-0.06870988011360168,
0.0005104070296511054,
0.11059879511594772,
-0.0547742024064064,
-0.00946025736629963,
0.01455483864992857,
0.0724475309252739,
-0.06962891668081284,
0.04953453689813614,
0.026958836242556572,
0.05060502141714096,
-0.09436729550361633,
-0.03598475828766823,
-0.02142811380326748,
-0.000018015774912782945,
0.07597935944795609,
-0.04422038048505783,
-0.09750598669052124,
-0.010202232748270035,
-0.06908810138702393,
0.055288586765527725,
-0.025167446583509445,
-0.07128611207008362,
-0.03186071291565895,
0.054429635405540466,
0.030907336622476578,
-0.008679196238517761,
0.024577056989073753,
0.025649061426520348,
-3.962073336083449e-8,
0.17531833052635193,
-0.021388832479715347,
0.07108308374881744,
0.005908196326345205,
0.008677413687109947,
0.07954703271389008,
0.001662815804593265,
-0.055399246513843536,
0.03489973768591881,
0.08397098630666733,
0.08408946543931961,
0.09303013980388641,
0.029115933924913406,
-0.05504242330789566,
-0.03523813188076019,
0.03883419558405876,
-0.03773898258805275,
0.00264321849681437,
-0.028915176168084145,
-0.020219719037413597,
-0.013133269734680653,
0.011810471303761005,
-0.018933603540062904,
0.002587323309853673,
0.06337273865938187,
-0.004754834342747927,
-0.03307613357901573,
-0.07702362537384033,
-0.013180913403630257,
-0.03242909908294678,
-0.05933818221092224,
-0.009627453982830048,
0.005058675073087215,
-0.0027448248583823442,
-0.031149085611104965,
-0.017840906977653503,
-0.020899541676044464,
0.051273223012685776,
-0.00513078598305583,
-0.060610320419073105,
-0.020104998722672462,
0.07929205149412155,
-0.10649599134922028,
0.03702036291360855,
0.029413435608148575,
-0.013575872406363487,
-0.045990943908691406,
0.07515440136194229,
0.013008590787649155,
0.00697338068857789,
-0.013060773722827435,
0.03421486169099808,
-0.057675063610076904,
-0.013036580756306648,
-0.10554300993680954,
-0.0593530610203743,
-0.05749622359871864,
-0.0052469028159976006,
-0.011755763553082943,
0.023359300568699837,
-0.06447001546621323,
-0.04472482204437256,
-0.07509677857160568,
-0.08587529510259628
] |
1401.1763 | Vladimir Braverman | Vladimir Braverman, Jonathan Katzman, Charles Seidell, Gregory
Vorsanger | Approximating Large Frequency Moments with $O(n^{1-2/k})$ Bits | null | null | null | null | cs.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider the problem of approximating frequency moments in
the streaming model. Given a stream $D = \{p_1,p_2,\dots,p_m\}$ of numbers from
$\{1,\dots, n\}$, a frequency of $i$ is defined as $f_i = |\{j: p_j = i\}|$.
The $k$-th \emph{frequency moment} of $D$ is defined as $F_k = \sum_{i=1}^n
f_i^k$.
In this paper we give an upper bound on the space required to find a $k$-th
frequency moment of $O(n^{1-2/k})$ bits that matches, up to a constant factor,
the lower bound of Woodruff and Zhang (STOC 12) for constant $\epsilon$ and
constant $k$. Our algorithm makes a single pass over the stream and works for
any constant $k > 3$.
| [
{
"created": "Wed, 8 Jan 2014 18:05:26 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2014 02:31:23 GMT",
"version": "v2"
}
] | 2014-01-28 | [
[
"Braverman",
"Vladimir",
""
],
[
"Katzman",
"Jonathan",
""
],
[
"Seidell",
"Charles",
""
],
[
"Vorsanger",
"Gregory",
""
]
] | [
-0.006108708679676056,
0.009008850902318954,
-0.01609826274216175,
-0.024341575801372528,
0.020269690081477165,
-0.024398766458034515,
0.07818108052015305,
0.02089739590883255,
0.051683466881513596,
-0.029112040996551514,
-0.07218733429908752,
0.040446650236845016,
0.03627605736255646,
-0.042172323912382126,
-0.02552933432161808,
-0.02146802470088005,
0.04174630716443062,
0.06494786590337753,
-0.05619402974843979,
0.022036170586943626,
-0.008259437046945095,
-0.07614661753177643,
0.014889497309923172,
-0.0494149811565876,
0.03186469525098801,
-0.07599925249814987,
0.04245700687170029,
0.009852814488112926,
0.04888344928622246,
-0.03278180956840515,
0.03742937743663788,
0.012308032251894474,
0.0780336782336235,
-0.07348854839801788,
0.06466849893331528,
0.0044660489074885845,
0.014553707093000412,
-0.0036286695394665003,
-0.028926720842719078,
0.07549568265676498,
0.03874923661351204,
0.06361163407564163,
0.057213883846998215,
0.01417078822851181,
-0.023222224786877632,
0.06841554492712021,
0.012789621949195862,
0.016774136573076248,
-0.07848455756902695,
-0.05561521649360657,
-0.049193695187568665,
0.027163995429873466,
-0.07918983697891235,
0.11403788626194,
-0.05773886293172836,
-0.14252576231956482,
-0.06368813663721085,
-0.03487742319703102,
0.0238052848726511,
0.06896111369132996,
-0.01776755414903164,
-0.027572382241487503,
-0.013468504883348942,
-0.047801848500967026,
-0.0007469714619219303,
-0.006783819291740656,
-0.0014422714011743665,
0.012013080529868603,
0.003109753131866455,
0.08373445272445679,
-0.045294687151908875,
0.030943304300308228,
-0.11798124760389328,
0.06201794371008873,
0.06169581785798073,
-0.019941585138440132,
-0.028698613867163658,
0.0005997240077704191,
-0.013465004041790962,
0.009697243571281433,
-0.0421791672706604,
-0.06537576019763947,
-0.008110389113426208,
-0.1333107352256775,
0.021506614983081818,
-0.011484752409160137,
0.021255573257803917,
0.05196276679635048,
0.07884681224822998,
-0.02189328894019127,
-0.15316753089427948,
-0.03824722394347191,
0.007954428903758526,
0.02241278626024723,
0.021184291690587997,
0.07806536555290222,
0.05432700365781784,
0.03841423988342285,
0.015169537626206875,
0.045897211879491806,
0.025404326617717743,
0.005081283859908581,
0.011688744649291039,
-0.0586680993437767,
0.02408107928931713,
-0.08661267906427383,
-0.042854972183704376,
0.074830561876297,
0.013997934758663177,
-0.06568773090839386,
-0.007575809955596924,
0.006350626703351736,
-0.05766032263636589,
0.07540108263492584,
0.08738994598388672,
-0.06768953055143356,
0.002717065392062068,
0.03779425099492073,
-0.012234394438564777,
0.004026994574815035,
0.012728920206427574,
0.026159895583987236,
-0.024508357048034668,
-0.0006964719505049288,
0.0169098898768425,
0.06291085481643677,
-0.043051302433013916,
-3.361303826068513e-34,
0.024812230840325356,
0.05033780634403229,
0.0037249098531901836,
-0.028839096426963806,
0.018734898418188095,
0.02735350839793682,
0.0643470510840416,
0.026218969374895096,
0.05219396576285362,
0.04651797190308571,
-0.057708874344825745,
0.00011197967251064256,
0.04273494705557823,
-0.1057991087436676,
0.03452703356742859,
-0.07757417857646942,
-0.011879919096827507,
-0.04878080263733864,
0.050706036388874054,
-0.06081271916627884,
0.12408775091171265,
-0.0430513434112072,
0.016062811017036438,
-0.015941552817821503,
-0.027127914130687714,
-0.0042157904244959354,
-0.034862667322158813,
-0.04955391213297844,
0.046511195600032806,
0.038165830075740814,
-0.05526455119252205,
0.06961958855390549,
0.05328356847167015,
-0.03625211492180824,
0.06303033977746964,
-0.12634533643722534,
0.003376733511686325,
-0.013516930863261223,
-0.026282258331775665,
-0.014529113657772541,
-0.04927821084856987,
0.05424286052584648,
-0.01835443079471588,
-0.08874952048063278,
-0.09270977228879929,
-0.08319734036922455,
0.0904313325881958,
0.02255234494805336,
0.0379008948802948,
-0.013075566850602627,
0.00629383185878396,
0.0037647231947630644,
-0.07879433780908585,
0.0858137384057045,
0.06979668885469437,
0.021810835227370262,
0.017157480120658875,
0.047017645090818405,
0.02833537943661213,
0.11411269009113312,
-0.01863078400492668,
0.01878676377236843,
0.09655483812093735,
0.06221155449748039,
0.05558927357196808,
-0.030336370691657066,
0.014736630022525787,
0.07675109803676605,
-0.004036631900817156,
-0.015796534717082977,
-0.006930575706064701,
-0.048400260508060455,
-0.041402239352464676,
-0.0703534334897995,
-0.042526569217443466,
-0.0007242010906338692,
0.055002257227897644,
-0.08260434865951538,
-0.041994668543338776,
0.03324464336037636,
-0.01742534525692463,
0.010391728021204472,
0.019453581422567368,
-0.03461968153715134,
-0.1030929833650589,
-0.005997613072395325,
0.018118098378181458,
-0.049285802990198135,
-0.08559951931238174,
-0.09762919694185257,
-0.017424343153834343,
-0.028616342693567276,
0.048561111092567444,
-0.02791188657283783,
-0.009032252244651318,
-1.3645248626940503e-33,
0.012894321233034134,
-0.010555099695920944,
0.04416034370660782,
0.06554276496171951,
0.06998896598815918,
-0.054869379848241806,
0.055578023195266724,
0.016197675839066505,
0.025056127458810806,
-0.0018178093014284968,
-0.05756410211324692,
0.019512414932250977,
-0.028997749090194702,
0.049880143254995346,
0.016585281118750572,
-0.0464860275387764,
0.01510890293866396,
0.06094978004693985,
0.07530080527067184,
0.00889656227082014,
-0.03586782515048981,
-0.09925747662782669,
-0.03406623750925064,
0.029165908694267273,
0.008186488412320614,
0.04285373538732529,
-0.04670331999659538,
-0.012985455803573132,
-0.05643931403756142,
-0.0005294859292916954,
-0.039554059505462646,
-0.05026870220899582,
-0.0614953488111496,
-0.06016930565237999,
-0.01167472917586565,
-0.04071389511227608,
0.057288724929094315,
0.1042792797088623,
0.01660863496363163,
0.08600873500108719,
0.051165856420993805,
-0.016428880393505096,
0.005866119172424078,
0.002164003672078252,
0.09284728020429611,
0.01273318100720644,
-0.022199692204594612,
0.04723036289215088,
0.002078304998576641,
-0.042505912482738495,
0.05663462355732918,
-0.010006854310631752,
0.033843327313661575,
0.0481969490647316,
0.010370641946792603,
0.015247545205056667,
-0.0070455181412398815,
0.04399743303656578,
0.023650310933589935,
-0.03679659217596054,
-0.05365821719169617,
-0.011447523720562458,
-0.05603339150547981,
0.02533102035522461,
0.05263226479291916,
0.02136744186282158,
-0.015813272446393967,
-0.07667391002178192,
-0.0510435476899147,
0.010972182266414165,
0.03707752376794815,
-0.07352546602487564,
-0.020683782175183296,
0.04344084486365318,
-0.07938484847545624,
0.04461471363902092,
0.03640271723270416,
-0.011993384920060635,
-0.052740678191185,
0.08336940407752991,
-0.07280144095420837,
0.1387912482023239,
-0.09213624894618988,
-0.04174497351050377,
0.029900260269641876,
0.004602527711540461,
0.08620741963386536,
-0.07299130409955978,
-0.019490163773298264,
-0.1156216412782669,
0.03302085027098656,
0.08895925432443619,
-0.04819542542099953,
0.03318437933921814,
0.004560692235827446,
-5.287832038902707e-8,
-0.0010699913837015629,
-0.08482390642166138,
-0.08349280059337616,
-0.008913028985261917,
0.18237483501434326,
0.013097752816975117,
-0.030108213424682617,
-0.004593227058649063,
0.002946397988125682,
-0.03907405585050583,
0.09472373872995377,
-0.01637991890311241,
-0.00009706808486953378,
0.07782580703496933,
-0.002632443094626069,
-0.050208158791065216,
-0.029805580154061317,
-0.07900609076023102,
-0.008749735541641712,
-0.023836735635995865,
-0.027239877730607986,
0.022925231605768204,
0.06132166460156441,
-0.062191277742385864,
-0.0413411445915699,
-0.019314365461468697,
0.04928475245833397,
-0.030460255220532417,
-0.0026002549566328526,
0.009045855142176151,
0.020101482048630714,
-0.0044258106499910355,
0.07959498465061188,
-0.008270162157714367,
-0.0024997396394610405,
0.038446471095085144,
-0.043120402842760086,
0.023010320961475372,
-0.06499113887548447,
0.011231076903641224,
0.03515996038913727,
0.04486803710460663,
0.0536351203918457,
-0.012595642358064651,
0.05509570240974426,
-0.0029488105792552233,
-0.011146225035190582,
0.04206002131104469,
-0.0569499209523201,
0.029114792123436928,
-0.04906024411320686,
0.04334675893187523,
0.007023827638477087,
-0.0025983357336372137,
0.04027894139289856,
-0.001590202678926289,
-0.05768849328160286,
-0.15803642570972443,
-0.040784623473882675,
-0.06333759427070618,
0.018168825656175613,
0.051730960607528687,
-0.057824499905109406,
0.05069481208920479
] | null | null | null | null | null | null | null | [
-0.006108708679676056,
0.009008850902318954,
-0.01609826274216175,
-0.024341575801372528,
0.020269690081477165,
-0.024398766458034515,
0.07818108052015305,
0.02089739590883255,
0.051683466881513596,
-0.029112040996551514,
-0.07218733429908752,
0.040446650236845016,
0.03627605736255646,
-0.042172323912382126,
-0.02552933432161808,
-0.02146802470088005,
0.04174630716443062,
0.06494786590337753,
-0.05619402974843979,
0.022036170586943626,
-0.008259437046945095,
-0.07614661753177643,
0.014889497309923172,
-0.0494149811565876,
0.03186469525098801,
-0.07599925249814987,
0.04245700687170029,
0.009852814488112926,
0.04888344928622246,
-0.03278180956840515,
0.03742937743663788,
0.012308032251894474,
0.0780336782336235,
-0.07348854839801788,
0.06466849893331528,
0.0044660489074885845,
0.014553707093000412,
-0.0036286695394665003,
-0.028926720842719078,
0.07549568265676498,
0.03874923661351204,
0.06361163407564163,
0.057213883846998215,
0.01417078822851181,
-0.023222224786877632,
0.06841554492712021,
0.012789621949195862,
0.016774136573076248,
-0.07848455756902695,
-0.05561521649360657,
-0.049193695187568665,
0.027163995429873466,
-0.07918983697891235,
0.11403788626194,
-0.05773886293172836,
-0.14252576231956482,
-0.06368813663721085,
-0.03487742319703102,
0.0238052848726511,
0.06896111369132996,
-0.01776755414903164,
-0.027572382241487503,
-0.013468504883348942,
-0.047801848500967026,
-0.0007469714619219303,
-0.006783819291740656,
-0.0014422714011743665,
0.012013080529868603,
0.003109753131866455,
0.08373445272445679,
-0.045294687151908875,
0.030943304300308228,
-0.11798124760389328,
0.06201794371008873,
0.06169581785798073,
-0.019941585138440132,
-0.028698613867163658,
0.0005997240077704191,
-0.013465004041790962,
0.009697243571281433,
-0.0421791672706604,
-0.06537576019763947,
-0.008110389113426208,
-0.1333107352256775,
0.021506614983081818,
-0.011484752409160137,
0.021255573257803917,
0.05196276679635048,
0.07884681224822998,
-0.02189328894019127,
-0.15316753089427948,
-0.03824722394347191,
0.007954428903758526,
0.02241278626024723,
0.021184291690587997,
0.07806536555290222,
0.05432700365781784,
0.03841423988342285,
0.015169537626206875,
0.045897211879491806,
0.025404326617717743,
0.005081283859908581,
0.011688744649291039,
-0.0586680993437767,
0.02408107928931713,
-0.08661267906427383,
-0.042854972183704376,
0.074830561876297,
0.013997934758663177,
-0.06568773090839386,
-0.007575809955596924,
0.006350626703351736,
-0.05766032263636589,
0.07540108263492584,
0.08738994598388672,
-0.06768953055143356,
0.002717065392062068,
0.03779425099492073,
-0.012234394438564777,
0.004026994574815035,
0.012728920206427574,
0.026159895583987236,
-0.024508357048034668,
-0.0006964719505049288,
0.0169098898768425,
0.06291085481643677,
-0.043051302433013916,
-3.361303826068513e-34,
0.024812230840325356,
0.05033780634403229,
0.0037249098531901836,
-0.028839096426963806,
0.018734898418188095,
0.02735350839793682,
0.0643470510840416,
0.026218969374895096,
0.05219396576285362,
0.04651797190308571,
-0.057708874344825745,
0.00011197967251064256,
0.04273494705557823,
-0.1057991087436676,
0.03452703356742859,
-0.07757417857646942,
-0.011879919096827507,
-0.04878080263733864,
0.050706036388874054,
-0.06081271916627884,
0.12408775091171265,
-0.0430513434112072,
0.016062811017036438,
-0.015941552817821503,
-0.027127914130687714,
-0.0042157904244959354,
-0.034862667322158813,
-0.04955391213297844,
0.046511195600032806,
0.038165830075740814,
-0.05526455119252205,
0.06961958855390549,
0.05328356847167015,
-0.03625211492180824,
0.06303033977746964,
-0.12634533643722534,
0.003376733511686325,
-0.013516930863261223,
-0.026282258331775665,
-0.014529113657772541,
-0.04927821084856987,
0.05424286052584648,
-0.01835443079471588,
-0.08874952048063278,
-0.09270977228879929,
-0.08319734036922455,
0.0904313325881958,
0.02255234494805336,
0.0379008948802948,
-0.013075566850602627,
0.00629383185878396,
0.0037647231947630644,
-0.07879433780908585,
0.0858137384057045,
0.06979668885469437,
0.021810835227370262,
0.017157480120658875,
0.047017645090818405,
0.02833537943661213,
0.11411269009113312,
-0.01863078400492668,
0.01878676377236843,
0.09655483812093735,
0.06221155449748039,
0.05558927357196808,
-0.030336370691657066,
0.014736630022525787,
0.07675109803676605,
-0.004036631900817156,
-0.015796534717082977,
-0.006930575706064701,
-0.048400260508060455,
-0.041402239352464676,
-0.0703534334897995,
-0.042526569217443466,
-0.0007242010906338692,
0.055002257227897644,
-0.08260434865951538,
-0.041994668543338776,
0.03324464336037636,
-0.01742534525692463,
0.010391728021204472,
0.019453581422567368,
-0.03461968153715134,
-0.1030929833650589,
-0.005997613072395325,
0.018118098378181458,
-0.049285802990198135,
-0.08559951931238174,
-0.09762919694185257,
-0.017424343153834343,
-0.028616342693567276,
0.048561111092567444,
-0.02791188657283783,
-0.009032252244651318,
-1.3645248626940503e-33,
0.012894321233034134,
-0.010555099695920944,
0.04416034370660782,
0.06554276496171951,
0.06998896598815918,
-0.054869379848241806,
0.055578023195266724,
0.016197675839066505,
0.025056127458810806,
-0.0018178093014284968,
-0.05756410211324692,
0.019512414932250977,
-0.028997749090194702,
0.049880143254995346,
0.016585281118750572,
-0.0464860275387764,
0.01510890293866396,
0.06094978004693985,
0.07530080527067184,
0.00889656227082014,
-0.03586782515048981,
-0.09925747662782669,
-0.03406623750925064,
0.029165908694267273,
0.008186488412320614,
0.04285373538732529,
-0.04670331999659538,
-0.012985455803573132,
-0.05643931403756142,
-0.0005294859292916954,
-0.039554059505462646,
-0.05026870220899582,
-0.0614953488111496,
-0.06016930565237999,
-0.01167472917586565,
-0.04071389511227608,
0.057288724929094315,
0.1042792797088623,
0.01660863496363163,
0.08600873500108719,
0.051165856420993805,
-0.016428880393505096,
0.005866119172424078,
0.002164003672078252,
0.09284728020429611,
0.01273318100720644,
-0.022199692204594612,
0.04723036289215088,
0.002078304998576641,
-0.042505912482738495,
0.05663462355732918,
-0.010006854310631752,
0.033843327313661575,
0.0481969490647316,
0.010370641946792603,
0.015247545205056667,
-0.0070455181412398815,
0.04399743303656578,
0.023650310933589935,
-0.03679659217596054,
-0.05365821719169617,
-0.011447523720562458,
-0.05603339150547981,
0.02533102035522461,
0.05263226479291916,
0.02136744186282158,
-0.015813272446393967,
-0.07667391002178192,
-0.0510435476899147,
0.010972182266414165,
0.03707752376794815,
-0.07352546602487564,
-0.020683782175183296,
0.04344084486365318,
-0.07938484847545624,
0.04461471363902092,
0.03640271723270416,
-0.011993384920060635,
-0.052740678191185,
0.08336940407752991,
-0.07280144095420837,
0.1387912482023239,
-0.09213624894618988,
-0.04174497351050377,
0.029900260269641876,
0.004602527711540461,
0.08620741963386536,
-0.07299130409955978,
-0.019490163773298264,
-0.1156216412782669,
0.03302085027098656,
0.08895925432443619,
-0.04819542542099953,
0.03318437933921814,
0.004560692235827446,
-5.287832038902707e-8,
-0.0010699913837015629,
-0.08482390642166138,
-0.08349280059337616,
-0.008913028985261917,
0.18237483501434326,
0.013097752816975117,
-0.030108213424682617,
-0.004593227058649063,
0.002946397988125682,
-0.03907405585050583,
0.09472373872995377,
-0.01637991890311241,
-0.00009706808486953378,
0.07782580703496933,
-0.002632443094626069,
-0.050208158791065216,
-0.029805580154061317,
-0.07900609076023102,
-0.008749735541641712,
-0.023836735635995865,
-0.027239877730607986,
0.022925231605768204,
0.06132166460156441,
-0.062191277742385864,
-0.0413411445915699,
-0.019314365461468697,
0.04928475245833397,
-0.030460255220532417,
-0.0026002549566328526,
0.009045855142176151,
0.020101482048630714,
-0.0044258106499910355,
0.07959498465061188,
-0.008270162157714367,
-0.0024997396394610405,
0.038446471095085144,
-0.043120402842760086,
0.023010320961475372,
-0.06499113887548447,
0.011231076903641224,
0.03515996038913727,
0.04486803710460663,
0.0536351203918457,
-0.012595642358064651,
0.05509570240974426,
-0.0029488105792552233,
-0.011146225035190582,
0.04206002131104469,
-0.0569499209523201,
0.029114792123436928,
-0.04906024411320686,
0.04334675893187523,
0.007023827638477087,
-0.0025983357336372137,
0.04027894139289856,
-0.001590202678926289,
-0.05768849328160286,
-0.15803642570972443,
-0.040784623473882675,
-0.06333759427070618,
0.018168825656175613,
0.051730960607528687,
-0.057824499905109406,
0.05069481208920479
] |
1401.1766 | Yuanyuan Zhang | James Z. Wang, Yuanyuan Zhang, Liang Dong, Lin Li, Pradip K Srimani,
Philip S. Yu | G-Bean: an ontology-graph based web tool for biomedical literature
retrieval | This paper has been withdrawn by the author due to errors in figure 1 | null | null | null | cs.IR | http://creativecommons.org/licenses/by/3.0/ | Currently, most people use PubMed to search the MEDLINE database, an
important bibliographical information source for life science and biomedical
information. However, PubMed has some drawbacks that make it difficult to find
relevant publications pertaining to users' individual intentions, especially
for non-expert users. To ameliorate the disadvantages of PubMed, we developed
G-Bean, a graph based biomedical search engine, to search biomedical articles
in MEDLINE database more efficiently.G-Bean addresses PubMed's limitations with
three innovations: parallel document index creation,ontology-graph based query
expansion, and retrieval and re-ranking of documents based on user's search
intention.Performance evaluation with 106 OHSUMED benchmark queries shows that
G-Bean returns more relevant results than PubMed does when using these queries
to search the MEDLINE database. PubMed could not even return any search result
for some OHSUMED queries because it failed to form the appropriate Boolean
query statement automatically from the natural language query strings. G-Bean
is available at http://bioinformatics.clemson.edu/G-Bean/index.php.G-Bean
addresses PubMed's limitations with ontology-graph based query expansion,
automatic document indexing, and user search intention discovery. It shows
significant advantages in finding relevant articles from the MEDLINE database
to meet the information need of the user.
| [
{
"created": "Wed, 8 Jan 2014 18:15:31 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jan 2014 16:00:11 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jan 2014 15:49:22 GMT",
"version": "v3"
},
{
"created": "Fri, 28 Feb 2014 14:55:12 GMT",
"version": "v4"
},
{
"created": "Mon, 31 Aug 2015 19:27:00 GMT",
"version": "v5"
}
] | 2015-09-01 | [
[
"Wang",
"James Z.",
""
],
[
"Zhang",
"Yuanyuan",
""
],
[
"Dong",
"Liang",
""
],
[
"Li",
"Lin",
""
],
[
"Srimani",
"Pradip K",
""
],
[
"Yu",
"Philip S.",
""
]
] | [
-0.007882239297032356,
0.011059409938752651,
-0.027502847835421562,
0.01910828799009323,
-0.005703465081751347,
-0.02075275406241417,
-0.03760717809200287,
0.052070580422878265,
0.022346315905451775,
0.005454636178910732,
-0.0523827001452446,
0.04329807683825493,
0.0634206160902977,
-0.03522922843694687,
0.019311686977744102,
-0.026343587785959244,
0.021106937900185585,
-0.03430138900876045,
-0.010748133063316345,
-0.020617520436644554,
-0.008033347316086292,
0.11125979572534561,
0.08678305894136429,
-0.04281020537018776,
0.0007079567876644433,
-0.07166028022766113,
-0.052362728863954544,
-0.09276708960533142,
-0.023624997586011887,
-0.017490902915596962,
0.01980765350162983,
0.04610827937722206,
0.012912802398204803,
0.06734801828861237,
-0.10489027202129364,
-0.00846068561077118,
-0.006750992499291897,
0.011055361479520798,
-0.013577865436673164,
-0.007900024764239788,
-0.04665706679224968,
-0.07946234941482544,
-0.027755891904234886,
0.007831437513232231,
0.10828904807567596,
-0.024955211207270622,
-0.0963669940829277,
-0.020385582000017166,
0.08551616966724396,
0.041744254529476166,
-0.16397878527641296,
-0.08560876548290253,
-0.0281082671135664,
0.0038611360359936953,
0.02594631537795067,
0.016466913744807243,
-0.11503639072179794,
-0.0045826490968465805,
-0.08702937513589859,
-0.02458278089761734,
-0.02464132383465767,
-0.054656822234392166,
-0.028498569503426552,
0.012132265605032444,
0.024761701002717018,
-0.07313720881938934,
0.08345761895179749,
-0.029081780463457108,
0.09610114246606827,
-0.025677144527435303,
0.04380863532423973,
0.02038157731294632,
0.01516360230743885,
0.06950350105762482,
-0.06262076646089554,
0.08164755254983902,
-0.00797674898058176,
0.07673836499452591,
0.0738152414560318,
-0.019251791760325432,
0.023737020790576935,
-0.004544597119092941,
0.04343850165605545,
0.050376955419778824,
-0.045388512313365936,
-0.05978989601135254,
0.040896859019994736,
-0.05406097695231438,
-0.008021381683647633,
-0.0024724327959120274,
0.0856413021683693,
-0.01589825563132763,
0.10627840459346771,
-0.017335502430796623,
0.03200996667146683,
0.0014826463302597404,
0.030512280762195587,
-0.03153211995959282,
0.060135748237371445,
-0.015425778925418854,
-0.024692481383681297,
0.05942884832620621,
0.023286452516913414,
-0.03684274107217789,
-0.010158834047615528,
0.03635840117931366,
-0.05879554525017738,
0.004015722777694464,
0.06088394671678543,
-0.026009943336248398,
0.004684600047767162,
0.0849289670586586,
-0.004107910208404064,
-0.04938982427120209,
-0.0023947993759065866,
0.001932406798005104,
0.036548055708408356,
-0.043757420033216476,
0.05121353641152382,
-0.007824026979506016,
-0.029010621830821037,
0.052038807421922684,
0.019732549786567688,
-0.07892496138811111,
-0.03687596693634987,
0.09097377955913544,
-0.059479180723428726,
5.1230313982300315e-33,
0.1170487105846405,
0.050392188131809235,
0.073021799325943,
-0.0476105697453022,
-0.06080678477883339,
0.004577796906232834,
-0.07185583561658859,
-0.013758295215666294,
-0.052567195147275925,
-0.04758233577013016,
-0.0939263328909874,
0.10556033998727798,
-0.030145538970828056,
0.015517073683440685,
0.06453883647918701,
0.03123590536415577,
-0.07586370408535004,
0.05552349612116814,
-0.009415490552783012,
0.002946466440334916,
0.013421930372714996,
-0.06886758655309677,
0.014393215999007225,
0.06798558682203293,
0.048640452325344086,
0.021993232890963554,
-0.0282240379601717,
-0.07661832123994827,
0.012608214281499386,
0.007006803061813116,
-0.047801654785871506,
-0.09777216613292694,
-0.016064828261733055,
-0.05589264631271362,
-0.011036781594157219,
-0.014192021451890469,
-0.04079347476363182,
-0.024920528754591942,
0.0212424173951149,
0.0047305128537118435,
-0.09496355056762695,
0.01749759539961815,
0.062204040586948395,
-0.04251565411686897,
-0.01056390069425106,
0.04456797242164612,
-0.06065219268202782,
-0.0205545611679554,
0.03930538892745972,
0.004299911204725504,
0.005160511005669832,
0.011800498701632023,
0.01471072155982256,
0.049179669469594955,
0.10523121058940887,
0.0623558945953846,
0.03917492553591728,
0.09656327962875366,
0.02335190400481224,
0.07366477698087692,
0.02731768786907196,
0.03456496819853783,
0.08494152873754501,
0.026141025125980377,
0.010684290900826454,
0.006064395420253277,
-0.041039686650037766,
0.028074275702238083,
0.04321694374084473,
0.060664646327495575,
0.03260469064116478,
0.0370112769305706,
0.031834933906793594,
-0.0933578684926033,
0.03760036453604698,
-0.029369425028562546,
-0.05969182401895523,
-0.06321004778146744,
-0.0420939065515995,
-0.05166245624423027,
0.016024887561798096,
-0.023520277813076973,
-0.007955847308039665,
0.041210126131772995,
0.03362804651260376,
-0.003158730221912265,
0.029407354071736336,
-0.010951697826385498,
-0.09282433241605759,
-0.021244872361421585,
-0.01234429795295,
0.11972448229789734,
-0.022675173357129097,
0.014258491806685925,
0.011169609613716602,
-4.216120241497359e-33,
0.0006938395672477782,
-0.13699667155742645,
0.023780595511198044,
0.05744745954871178,
0.008714193478226662,
-0.06198517605662346,
0.0027332704048603773,
-0.0591355599462986,
0.006473673973232508,
0.012939922511577606,
0.012479260563850403,
-0.019948748871684074,
0.05653956159949303,
-0.05481003224849701,
-0.04219820722937584,
0.023090260103344917,
-0.030815916135907173,
-0.07245424389839172,
-0.11294475197792053,
0.10320251435041428,
-0.004744888748973608,
0.027072511613368988,
-0.10277033597230911,
0.04353099316358566,
0.04274933040142059,
-0.0005012484616599977,
-0.01099097728729248,
-0.02082238905131817,
-0.039584238082170486,
-0.07674870640039444,
0.04637771472334862,
0.0044267564080655575,
-0.0657326728105545,
-0.11503032594919205,
-0.0032237283885478973,
-0.009428387507796288,
0.0510530024766922,
-0.005643890704959631,
-0.0029153681825846434,
0.040735770016908646,
0.01336666475981474,
0.06992371380329132,
-0.04308037459850311,
-0.10555453598499298,
-0.009510226547718048,
0.00999993272125721,
-0.11855711787939072,
0.058808304369449615,
0.024366838857531548,
0.014812144450843334,
0.04469205066561699,
-0.03409123048186302,
0.024548005312681198,
0.0014107980532571673,
0.016528218984603882,
-0.11982954293489456,
-0.08341655135154724,
0.03457753360271454,
-0.0805681049823761,
0.036588042974472046,
-0.04024491831660271,
0.0066360775381326675,
-0.03275003656744957,
0.08709101378917694,
-0.01159160491079092,
-0.053514767438173294,
0.041782841086387634,
0.02970954217016697,
-0.05674631521105766,
-0.031934112310409546,
0.023959146812558174,
-0.05625494197010994,
0.06798242777585983,
0.001494482159614563,
0.09623181074857712,
0.10225863754749298,
0.031285762786865234,
-0.05265966057777405,
-0.011342025361955166,
0.007579222787171602,
0.01037953794002533,
0.01303326990455389,
0.0679168850183487,
0.05020822212100029,
-0.010746925137937069,
0.03306502848863602,
-0.005658295936882496,
0.05986340343952179,
0.009457283653318882,
0.034944333136081696,
-0.008291419595479965,
-0.05401328206062317,
-0.10482802242040634,
0.022527413442730904,
0.007896525785326958,
-4.261875830025019e-8,
-0.004161416552960873,
0.004297376610338688,
-0.004728782456368208,
0.051506247371435165,
0.044121138751506805,
-0.022436127066612244,
-0.01135089062154293,
0.14462973177433014,
-0.04043928533792496,
0.004438191652297974,
0.03331862762570381,
0.00731512950733304,
-0.0962754562497139,
0.03976994380354881,
0.06875565648078918,
-0.0032580511178821325,
0.01231527142226696,
-0.010975257493555546,
-0.038995783776044846,
-0.03926225006580353,
-0.02122553624212742,
0.008693105541169643,
0.013262690044939518,
0.025183171033859253,
0.10657685995101929,
-0.032153982669115067,
-0.005427258554846048,
-0.04274476319551468,
0.048961739987134933,
-0.025453263893723488,
-0.04342925548553467,
0.005409878212958574,
-0.018151510506868362,
0.03669767826795578,
0.04888907074928284,
-0.06183896213769913,
0.02704341523349285,
-0.0054164305329322815,
-0.10178401321172714,
0.07283099740743637,
0.08919503539800644,
-0.014481346122920513,
-0.004826718475669622,
0.006424132734537125,
-0.01396039966493845,
-0.0012557768495753407,
0.05978569760918617,
0.07869136333465576,
0.06497892737388611,
-0.02026902139186859,
-0.05237959697842598,
-0.1047251895070076,
0.055950455367565155,
-0.04247097671031952,
-0.005215116776525974,
0.05583382397890091,
0.009252943098545074,
0.022687433287501335,
0.0818815603852272,
-0.03127092868089676,
0.05677875876426697,
-0.10385675728321075,
0.011984278447926044,
0.046246226876974106
] | null | null | null | null | null | null | null | [
-0.007882239297032356,
0.011059409938752651,
-0.027502847835421562,
0.01910828799009323,
-0.005703465081751347,
-0.02075275406241417,
-0.03760717809200287,
0.052070580422878265,
0.022346315905451775,
0.005454636178910732,
-0.0523827001452446,
0.04329807683825493,
0.0634206160902977,
-0.03522922843694687,
0.019311686977744102,
-0.026343587785959244,
0.021106937900185585,
-0.03430138900876045,
-0.010748133063316345,
-0.020617520436644554,
-0.008033347316086292,
0.11125979572534561,
0.08678305894136429,
-0.04281020537018776,
0.0007079567876644433,
-0.07166028022766113,
-0.052362728863954544,
-0.09276708960533142,
-0.023624997586011887,
-0.017490902915596962,
0.01980765350162983,
0.04610827937722206,
0.012912802398204803,
0.06734801828861237,
-0.10489027202129364,
-0.00846068561077118,
-0.006750992499291897,
0.011055361479520798,
-0.013577865436673164,
-0.007900024764239788,
-0.04665706679224968,
-0.07946234941482544,
-0.027755891904234886,
0.007831437513232231,
0.10828904807567596,
-0.024955211207270622,
-0.0963669940829277,
-0.020385582000017166,
0.08551616966724396,
0.041744254529476166,
-0.16397878527641296,
-0.08560876548290253,
-0.0281082671135664,
0.0038611360359936953,
0.02594631537795067,
0.016466913744807243,
-0.11503639072179794,
-0.0045826490968465805,
-0.08702937513589859,
-0.02458278089761734,
-0.02464132383465767,
-0.054656822234392166,
-0.028498569503426552,
0.012132265605032444,
0.024761701002717018,
-0.07313720881938934,
0.08345761895179749,
-0.029081780463457108,
0.09610114246606827,
-0.025677144527435303,
0.04380863532423973,
0.02038157731294632,
0.01516360230743885,
0.06950350105762482,
-0.06262076646089554,
0.08164755254983902,
-0.00797674898058176,
0.07673836499452591,
0.0738152414560318,
-0.019251791760325432,
0.023737020790576935,
-0.004544597119092941,
0.04343850165605545,
0.050376955419778824,
-0.045388512313365936,
-0.05978989601135254,
0.040896859019994736,
-0.05406097695231438,
-0.008021381683647633,
-0.0024724327959120274,
0.0856413021683693,
-0.01589825563132763,
0.10627840459346771,
-0.017335502430796623,
0.03200996667146683,
0.0014826463302597404,
0.030512280762195587,
-0.03153211995959282,
0.060135748237371445,
-0.015425778925418854,
-0.024692481383681297,
0.05942884832620621,
0.023286452516913414,
-0.03684274107217789,
-0.010158834047615528,
0.03635840117931366,
-0.05879554525017738,
0.004015722777694464,
0.06088394671678543,
-0.026009943336248398,
0.004684600047767162,
0.0849289670586586,
-0.004107910208404064,
-0.04938982427120209,
-0.0023947993759065866,
0.001932406798005104,
0.036548055708408356,
-0.043757420033216476,
0.05121353641152382,
-0.007824026979506016,
-0.029010621830821037,
0.052038807421922684,
0.019732549786567688,
-0.07892496138811111,
-0.03687596693634987,
0.09097377955913544,
-0.059479180723428726,
5.1230313982300315e-33,
0.1170487105846405,
0.050392188131809235,
0.073021799325943,
-0.0476105697453022,
-0.06080678477883339,
0.004577796906232834,
-0.07185583561658859,
-0.013758295215666294,
-0.052567195147275925,
-0.04758233577013016,
-0.0939263328909874,
0.10556033998727798,
-0.030145538970828056,
0.015517073683440685,
0.06453883647918701,
0.03123590536415577,
-0.07586370408535004,
0.05552349612116814,
-0.009415490552783012,
0.002946466440334916,
0.013421930372714996,
-0.06886758655309677,
0.014393215999007225,
0.06798558682203293,
0.048640452325344086,
0.021993232890963554,
-0.0282240379601717,
-0.07661832123994827,
0.012608214281499386,
0.007006803061813116,
-0.047801654785871506,
-0.09777216613292694,
-0.016064828261733055,
-0.05589264631271362,
-0.011036781594157219,
-0.014192021451890469,
-0.04079347476363182,
-0.024920528754591942,
0.0212424173951149,
0.0047305128537118435,
-0.09496355056762695,
0.01749759539961815,
0.062204040586948395,
-0.04251565411686897,
-0.01056390069425106,
0.04456797242164612,
-0.06065219268202782,
-0.0205545611679554,
0.03930538892745972,
0.004299911204725504,
0.005160511005669832,
0.011800498701632023,
0.01471072155982256,
0.049179669469594955,
0.10523121058940887,
0.0623558945953846,
0.03917492553591728,
0.09656327962875366,
0.02335190400481224,
0.07366477698087692,
0.02731768786907196,
0.03456496819853783,
0.08494152873754501,
0.026141025125980377,
0.010684290900826454,
0.006064395420253277,
-0.041039686650037766,
0.028074275702238083,
0.04321694374084473,
0.060664646327495575,
0.03260469064116478,
0.0370112769305706,
0.031834933906793594,
-0.0933578684926033,
0.03760036453604698,
-0.029369425028562546,
-0.05969182401895523,
-0.06321004778146744,
-0.0420939065515995,
-0.05166245624423027,
0.016024887561798096,
-0.023520277813076973,
-0.007955847308039665,
0.041210126131772995,
0.03362804651260376,
-0.003158730221912265,
0.029407354071736336,
-0.010951697826385498,
-0.09282433241605759,
-0.021244872361421585,
-0.01234429795295,
0.11972448229789734,
-0.022675173357129097,
0.014258491806685925,
0.011169609613716602,
-4.216120241497359e-33,
0.0006938395672477782,
-0.13699667155742645,
0.023780595511198044,
0.05744745954871178,
0.008714193478226662,
-0.06198517605662346,
0.0027332704048603773,
-0.0591355599462986,
0.006473673973232508,
0.012939922511577606,
0.012479260563850403,
-0.019948748871684074,
0.05653956159949303,
-0.05481003224849701,
-0.04219820722937584,
0.023090260103344917,
-0.030815916135907173,
-0.07245424389839172,
-0.11294475197792053,
0.10320251435041428,
-0.004744888748973608,
0.027072511613368988,
-0.10277033597230911,
0.04353099316358566,
0.04274933040142059,
-0.0005012484616599977,
-0.01099097728729248,
-0.02082238905131817,
-0.039584238082170486,
-0.07674870640039444,
0.04637771472334862,
0.0044267564080655575,
-0.0657326728105545,
-0.11503032594919205,
-0.0032237283885478973,
-0.009428387507796288,
0.0510530024766922,
-0.005643890704959631,
-0.0029153681825846434,
0.040735770016908646,
0.01336666475981474,
0.06992371380329132,
-0.04308037459850311,
-0.10555453598499298,
-0.009510226547718048,
0.00999993272125721,
-0.11855711787939072,
0.058808304369449615,
0.024366838857531548,
0.014812144450843334,
0.04469205066561699,
-0.03409123048186302,
0.024548005312681198,
0.0014107980532571673,
0.016528218984603882,
-0.11982954293489456,
-0.08341655135154724,
0.03457753360271454,
-0.0805681049823761,
0.036588042974472046,
-0.04024491831660271,
0.0066360775381326675,
-0.03275003656744957,
0.08709101378917694,
-0.01159160491079092,
-0.053514767438173294,
0.041782841086387634,
0.02970954217016697,
-0.05674631521105766,
-0.031934112310409546,
0.023959146812558174,
-0.05625494197010994,
0.06798242777585983,
0.001494482159614563,
0.09623181074857712,
0.10225863754749298,
0.031285762786865234,
-0.05265966057777405,
-0.011342025361955166,
0.007579222787171602,
0.01037953794002533,
0.01303326990455389,
0.0679168850183487,
0.05020822212100029,
-0.010746925137937069,
0.03306502848863602,
-0.005658295936882496,
0.05986340343952179,
0.009457283653318882,
0.034944333136081696,
-0.008291419595479965,
-0.05401328206062317,
-0.10482802242040634,
0.022527413442730904,
0.007896525785326958,
-4.261875830025019e-8,
-0.004161416552960873,
0.004297376610338688,
-0.004728782456368208,
0.051506247371435165,
0.044121138751506805,
-0.022436127066612244,
-0.01135089062154293,
0.14462973177433014,
-0.04043928533792496,
0.004438191652297974,
0.03331862762570381,
0.00731512950733304,
-0.0962754562497139,
0.03976994380354881,
0.06875565648078918,
-0.0032580511178821325,
0.01231527142226696,
-0.010975257493555546,
-0.038995783776044846,
-0.03926225006580353,
-0.02122553624212742,
0.008693105541169643,
0.013262690044939518,
0.025183171033859253,
0.10657685995101929,
-0.032153982669115067,
-0.005427258554846048,
-0.04274476319551468,
0.048961739987134933,
-0.025453263893723488,
-0.04342925548553467,
0.005409878212958574,
-0.018151510506868362,
0.03669767826795578,
0.04888907074928284,
-0.06183896213769913,
0.02704341523349285,
-0.0054164305329322815,
-0.10178401321172714,
0.07283099740743637,
0.08919503539800644,
-0.014481346122920513,
-0.004826718475669622,
0.006424132734537125,
-0.01396039966493845,
-0.0012557768495753407,
0.05978569760918617,
0.07869136333465576,
0.06497892737388611,
-0.02026902139186859,
-0.05237959697842598,
-0.1047251895070076,
0.055950455367565155,
-0.04247097671031952,
-0.005215116776525974,
0.05583382397890091,
0.009252943098545074,
0.022687433287501335,
0.0818815603852272,
-0.03127092868089676,
0.05677875876426697,
-0.10385675728321075,
0.011984278447926044,
0.046246226876974106
] |
1401.1770 | Mathieu Leconte | Mathieu Leconte, Marc Lelarge and Laurent Massouli\'e | Adaptive Replication in Distributed Content Delivery Networks | 10 pages, 5 figures | null | null | null | cs.NI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the problem of content replication in large distributed content
delivery networks, composed of a data center assisted by many small servers
with limited capabilities and located at the edge of the network. The objective
is to optimize the placement of contents on the servers to offload as much as
possible the data center. We model the system constituted by the small servers
as a loss network, each loss corresponding to a request to the data center.
Based on large system / storage behavior, we obtain an asymptotic formula for
the optimal replication of contents and propose adaptive schemes related to
those encountered in cache networks but reacting here to loss events, and
faster algorithms generating virtual events at higher rate while keeping the
same target replication. We show through simulations that our adaptive schemes
outperform significantly standard replication strategies both in terms of loss
rates and adaptation speed.
| [
{
"created": "Wed, 8 Jan 2014 18:29:13 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Leconte",
"Mathieu",
""
],
[
"Lelarge",
"Marc",
""
],
[
"Massoulié",
"Laurent",
""
]
] | [
-0.03359914943575859,
-0.036550410091876984,
-0.02404758147895336,
0.05319366231560707,
0.010473368689417839,
-0.05204760655760765,
-0.09187280386686325,
-0.0051147895865142345,
0.05715281516313553,
0.09987294673919678,
-0.04379288852214813,
0.12265165895223618,
0.09478863328695297,
-0.044609371572732925,
0.022152595221996307,
-0.05215475335717201,
0.13624653220176697,
0.02209719456732273,
-0.09932170808315277,
-0.02307487651705742,
-0.0779213011264801,
-0.034132614731788635,
0.03627169877290726,
0.04509827867150307,
0.016407325863838196,
-0.010749886743724346,
-0.10760275274515152,
-0.025553766638040543,
-0.01801173947751522,
-0.07709528505802155,
0.053809814155101776,
-0.04011622071266174,
-0.034219514578580856,
-0.019273389130830765,
0.0109101552516222,
-0.004636609926819801,
-0.08329546451568604,
-0.09043144434690475,
0.05123463273048401,
-0.009726283140480518,
0.10699473321437836,
0.0431908443570137,
-0.0911494567990303,
0.05347910150885582,
-0.03185315430164337,
0.04683632776141167,
-0.00018697087944019586,
0.0745033472776413,
-0.0036569349467754364,
0.030003465712070465,
0.0476674810051918,
-0.034133583307266235,
-0.05069693177938461,
0.06011386960744858,
-0.017001314088702202,
-0.014414339326322079,
-0.004625582601875067,
0.024939583614468575,
0.019637426361441612,
0.08023831993341446,
0.16475392878055573,
-0.09386172890663147,
0.03736251965165138,
-0.0008364597451873124,
0.005327729508280754,
-0.0015393702778965235,
0.13839153945446014,
0.06820611655712128,
-0.028871018439531326,
0.0020829837303608656,
-0.017184678465127945,
0.04000476375222206,
-0.0652388334274292,
0.10268224030733109,
0.028160972520709038,
-0.048443377017974854,
0.002441949211061001,
0.02561512216925621,
-0.06380002945661545,
0.05254737287759781,
-0.03837903216481209,
0.0008716594311408699,
0.011132323183119297,
0.004431963432580233,
-0.09027374535799026,
-0.14632713794708252,
-0.026185229420661926,
-0.045634616166353226,
0.05433487519621849,
-0.032447900623083115,
-0.01405758410692215,
0.1185278370976448,
0.0734085738658905,
-0.014556022360920906,
-0.05456852912902832,
-0.013126607984304428,
0.03616359457373619,
0.0037153959274291992,
0.03748241439461708,
0.019771434366703033,
0.03299027681350708,
0.003686235984787345,
0.1280740350484848,
-0.051621902734041214,
0.07605112344026566,
-0.03365596383810043,
-0.021084709092974663,
-0.0005118866101838648,
-0.0417836531996727,
0.06029129773378372,
-0.03969799727201462,
0.0964408665895462,
-0.0242872666567564,
-0.023179493844509125,
-0.02783406525850296,
-0.007729195058345795,
0.012793113477528095,
-0.018459035083651543,
-0.0956624373793602,
0.0339072123169899,
0.03747743368148804,
0.0019091658759862185,
0.017280614003539085,
-0.07427339255809784,
-0.022612933069467545,
-0.001816804171539843,
-0.03390888497233391,
2.476925472590913e-33,
-0.016820918768644333,
0.02903827093541622,
0.009001033380627632,
-0.022776486352086067,
0.09856578707695007,
-0.017044007778167725,
0.07387140393257141,
-0.013420832343399525,
-0.055848319083452225,
-0.09735890477895737,
0.007815309800207615,
0.004965113941580057,
0.008225546218454838,
0.01304185763001442,
0.047675974667072296,
-0.059234652668237686,
0.03556874021887779,
0.0854390561580658,
0.05733494088053703,
-0.02618356980383396,
-0.022646622732281685,
-0.03972505033016205,
-0.029652215540409088,
-0.020760158076882362,
-0.0013170860474929214,
0.02278120443224907,
-0.01460843812674284,
-0.04185166582465172,
0.005465269088745117,
-0.0497298389673233,
0.03369104117155075,
-0.008954708464443684,
0.07146123796701431,
0.005167317111045122,
0.02802250348031521,
-0.00971942488104105,
0.05544721707701683,
-0.055327389389276505,
-0.024771487340331078,
-0.0013359279837459326,
-0.06681622564792633,
0.0888013169169426,
-0.04398244619369507,
-0.020255740731954575,
-0.058289773762226105,
0.001807423192076385,
-0.012033701874315739,
-0.07797520607709885,
0.017967231571674347,
-0.09875200688838959,
0.09432700276374817,
-0.022710619494318962,
0.039587631821632385,
0.020621972158551216,
0.06318272650241852,
0.032670799642801285,
0.029908539727330208,
-0.04099949821829796,
0.04996873438358307,
0.09938827902078629,
0.028530562296509743,
-0.10180048644542694,
0.0037458394654095173,
0.04325611889362335,
0.05649246275424957,
-0.05512702092528343,
0.03718273714184761,
-0.052957840263843536,
0.06014169380068779,
0.0013971001608297229,
0.04652515426278114,
0.0008951303898356855,
-0.0048465128056705,
-0.039744388312101364,
-0.009835670702159405,
-0.03299607336521149,
-0.095895916223526,
-0.0722728818655014,
-0.04841465875506401,
-0.015208300203084946,
-0.014371867291629314,
-0.008034944534301758,
-0.030902281403541565,
-0.0029200315475463867,
-0.062345489859580994,
-0.06220531091094017,
0.01836928352713585,
0.004531433340162039,
-0.0800129696726799,
0.023328889161348343,
-0.023028600960969925,
-0.08574242144823074,
0.022897399961948395,
-0.04536448419094086,
0.0815107673406601,
-2.1971965716745873e-33,
-0.025235356763005257,
-0.037428271025419235,
0.007839425466954708,
0.14427506923675537,
0.047640610486269,
-0.010327739641070366,
-0.043039415031671524,
0.0011112164938822389,
-0.031876809895038605,
-0.03146442398428917,
-0.08099542558193207,
-0.06619109213352203,
-0.031390126794576645,
0.02011680044233799,
-0.0728682354092598,
-0.008677697740495205,
0.06086594983935356,
-0.04804687574505806,
-0.03503166511654854,
-0.040670573711395264,
0.010030405595898628,
-0.018891122192144394,
-0.02582773193717003,
-0.003826249623671174,
0.08786487579345703,
-0.017279157415032387,
-0.06584467738866806,
0.061616960912942886,
0.01892337016761303,
-0.07512032240629196,
-0.058561328798532486,
-0.04520237073302269,
0.020551199093461037,
-0.04316408932209015,
0.054818931967020035,
0.06684132665395737,
0.0352175235748291,
0.15493756532669067,
-0.050875212997198105,
0.0017673908732831478,
0.05016857758164406,
-0.05005146563053131,
-0.020201070234179497,
-0.0010101130465045571,
0.0276904609054327,
0.010334422811865807,
-0.07470250874757767,
0.06817776709794998,
0.029237432405352592,
0.04993830621242523,
-0.014319292269647121,
-0.09119680523872375,
0.010596461594104767,
0.018097275868058205,
0.09160518646240234,
0.01005223486572504,
-0.09311307966709137,
0.04962413012981415,
-0.019720198586583138,
0.024580594152212143,
0.020303409546613693,
-0.07990565150976181,
-0.03473227098584175,
0.0499306358397007,
-0.024484295397996902,
0.04217670485377312,
0.050747379660606384,
0.011798589490354061,
-0.021296218037605286,
0.0531226322054863,
0.058784011751413345,
0.018044687807559967,
-0.018242215737700462,
-0.01622122898697853,
0.003611265914514661,
-0.0006566515658050776,
0.027957459911704063,
0.015150148421525955,
0.004298682790249586,
0.03294927626848221,
-0.12308789789676666,
0.11737125366926193,
-0.027110641822218895,
0.00529268616810441,
0.08296243101358414,
0.018152298405766487,
0.0542612187564373,
0.007253150921314955,
0.0047983708791434765,
-0.01162647269666195,
-0.026230143383145332,
-0.016463004052639008,
-0.02947632409632206,
-0.03784921020269394,
-0.0649987980723381,
-3.890006183837613e-8,
-0.05832040309906006,
0.005174827761948109,
-0.05079885199666023,
0.03438475728034973,
0.04543384164571762,
0.04803925007581711,
0.04113643988966942,
0.023583754897117615,
0.0025113055016845465,
0.056106794625520706,
0.02937145158648491,
-0.02614150196313858,
0.03203170374035835,
-0.02467726543545723,
0.0381510965526104,
0.03752582147717476,
0.03254781290888786,
-0.05292757228016853,
-0.009355159476399422,
-0.02604450285434723,
-0.004117821808904409,
0.08324223011732101,
0.04298679158091545,
-0.07898002117872238,
0.03703893721103668,
0.0027851902414113283,
0.06613286584615707,
0.08080334961414337,
0.029073895886540413,
0.0019129515858367085,
0.0339057594537735,
-0.05207717791199684,
-0.05721428245306015,
-0.027866607531905174,
0.011962775141000748,
-0.028021574020385742,
0.01970656029880047,
0.005634828936308622,
0.011794081889092922,
-0.016408924013376236,
0.07200199365615845,
-0.06035057082772255,
0.05010463669896126,
0.01473749615252018,
0.060557249933481216,
-0.018353987485170364,
-0.04441501200199127,
0.049125563353300095,
0.033420685678720474,
-0.06215935945510864,
-0.009610439650714397,
-0.07671167701482773,
-0.02950870431959629,
0.023714404553174973,
0.03078937716782093,
-0.06143452227115631,
0.05859118327498436,
0.022718820720911026,
0.08847964555025101,
0.06992850452661514,
0.009292257018387318,
0.014376668259501457,
-0.03682493045926094,
-0.01815483346581459
] | null | null | null | null | null | null | null | [
-0.03359914943575859,
-0.036550410091876984,
-0.02404758147895336,
0.05319366231560707,
0.010473368689417839,
-0.05204760655760765,
-0.09187280386686325,
-0.0051147895865142345,
0.05715281516313553,
0.09987294673919678,
-0.04379288852214813,
0.12265165895223618,
0.09478863328695297,
-0.044609371572732925,
0.022152595221996307,
-0.05215475335717201,
0.13624653220176697,
0.02209719456732273,
-0.09932170808315277,
-0.02307487651705742,
-0.0779213011264801,
-0.034132614731788635,
0.03627169877290726,
0.04509827867150307,
0.016407325863838196,
-0.010749886743724346,
-0.10760275274515152,
-0.025553766638040543,
-0.01801173947751522,
-0.07709528505802155,
0.053809814155101776,
-0.04011622071266174,
-0.034219514578580856,
-0.019273389130830765,
0.0109101552516222,
-0.004636609926819801,
-0.08329546451568604,
-0.09043144434690475,
0.05123463273048401,
-0.009726283140480518,
0.10699473321437836,
0.0431908443570137,
-0.0911494567990303,
0.05347910150885582,
-0.03185315430164337,
0.04683632776141167,
-0.00018697087944019586,
0.0745033472776413,
-0.0036569349467754364,
0.030003465712070465,
0.0476674810051918,
-0.034133583307266235,
-0.05069693177938461,
0.06011386960744858,
-0.017001314088702202,
-0.014414339326322079,
-0.004625582601875067,
0.024939583614468575,
0.019637426361441612,
0.08023831993341446,
0.16475392878055573,
-0.09386172890663147,
0.03736251965165138,
-0.0008364597451873124,
0.005327729508280754,
-0.0015393702778965235,
0.13839153945446014,
0.06820611655712128,
-0.028871018439531326,
0.0020829837303608656,
-0.017184678465127945,
0.04000476375222206,
-0.0652388334274292,
0.10268224030733109,
0.028160972520709038,
-0.048443377017974854,
0.002441949211061001,
0.02561512216925621,
-0.06380002945661545,
0.05254737287759781,
-0.03837903216481209,
0.0008716594311408699,
0.011132323183119297,
0.004431963432580233,
-0.09027374535799026,
-0.14632713794708252,
-0.026185229420661926,
-0.045634616166353226,
0.05433487519621849,
-0.032447900623083115,
-0.01405758410692215,
0.1185278370976448,
0.0734085738658905,
-0.014556022360920906,
-0.05456852912902832,
-0.013126607984304428,
0.03616359457373619,
0.0037153959274291992,
0.03748241439461708,
0.019771434366703033,
0.03299027681350708,
0.003686235984787345,
0.1280740350484848,
-0.051621902734041214,
0.07605112344026566,
-0.03365596383810043,
-0.021084709092974663,
-0.0005118866101838648,
-0.0417836531996727,
0.06029129773378372,
-0.03969799727201462,
0.0964408665895462,
-0.0242872666567564,
-0.023179493844509125,
-0.02783406525850296,
-0.007729195058345795,
0.012793113477528095,
-0.018459035083651543,
-0.0956624373793602,
0.0339072123169899,
0.03747743368148804,
0.0019091658759862185,
0.017280614003539085,
-0.07427339255809784,
-0.022612933069467545,
-0.001816804171539843,
-0.03390888497233391,
2.476925472590913e-33,
-0.016820918768644333,
0.02903827093541622,
0.009001033380627632,
-0.022776486352086067,
0.09856578707695007,
-0.017044007778167725,
0.07387140393257141,
-0.013420832343399525,
-0.055848319083452225,
-0.09735890477895737,
0.007815309800207615,
0.004965113941580057,
0.008225546218454838,
0.01304185763001442,
0.047675974667072296,
-0.059234652668237686,
0.03556874021887779,
0.0854390561580658,
0.05733494088053703,
-0.02618356980383396,
-0.022646622732281685,
-0.03972505033016205,
-0.029652215540409088,
-0.020760158076882362,
-0.0013170860474929214,
0.02278120443224907,
-0.01460843812674284,
-0.04185166582465172,
0.005465269088745117,
-0.0497298389673233,
0.03369104117155075,
-0.008954708464443684,
0.07146123796701431,
0.005167317111045122,
0.02802250348031521,
-0.00971942488104105,
0.05544721707701683,
-0.055327389389276505,
-0.024771487340331078,
-0.0013359279837459326,
-0.06681622564792633,
0.0888013169169426,
-0.04398244619369507,
-0.020255740731954575,
-0.058289773762226105,
0.001807423192076385,
-0.012033701874315739,
-0.07797520607709885,
0.017967231571674347,
-0.09875200688838959,
0.09432700276374817,
-0.022710619494318962,
0.039587631821632385,
0.020621972158551216,
0.06318272650241852,
0.032670799642801285,
0.029908539727330208,
-0.04099949821829796,
0.04996873438358307,
0.09938827902078629,
0.028530562296509743,
-0.10180048644542694,
0.0037458394654095173,
0.04325611889362335,
0.05649246275424957,
-0.05512702092528343,
0.03718273714184761,
-0.052957840263843536,
0.06014169380068779,
0.0013971001608297229,
0.04652515426278114,
0.0008951303898356855,
-0.0048465128056705,
-0.039744388312101364,
-0.009835670702159405,
-0.03299607336521149,
-0.095895916223526,
-0.0722728818655014,
-0.04841465875506401,
-0.015208300203084946,
-0.014371867291629314,
-0.008034944534301758,
-0.030902281403541565,
-0.0029200315475463867,
-0.062345489859580994,
-0.06220531091094017,
0.01836928352713585,
0.004531433340162039,
-0.0800129696726799,
0.023328889161348343,
-0.023028600960969925,
-0.08574242144823074,
0.022897399961948395,
-0.04536448419094086,
0.0815107673406601,
-2.1971965716745873e-33,
-0.025235356763005257,
-0.037428271025419235,
0.007839425466954708,
0.14427506923675537,
0.047640610486269,
-0.010327739641070366,
-0.043039415031671524,
0.0011112164938822389,
-0.031876809895038605,
-0.03146442398428917,
-0.08099542558193207,
-0.06619109213352203,
-0.031390126794576645,
0.02011680044233799,
-0.0728682354092598,
-0.008677697740495205,
0.06086594983935356,
-0.04804687574505806,
-0.03503166511654854,
-0.040670573711395264,
0.010030405595898628,
-0.018891122192144394,
-0.02582773193717003,
-0.003826249623671174,
0.08786487579345703,
-0.017279157415032387,
-0.06584467738866806,
0.061616960912942886,
0.01892337016761303,
-0.07512032240629196,
-0.058561328798532486,
-0.04520237073302269,
0.020551199093461037,
-0.04316408932209015,
0.054818931967020035,
0.06684132665395737,
0.0352175235748291,
0.15493756532669067,
-0.050875212997198105,
0.0017673908732831478,
0.05016857758164406,
-0.05005146563053131,
-0.020201070234179497,
-0.0010101130465045571,
0.0276904609054327,
0.010334422811865807,
-0.07470250874757767,
0.06817776709794998,
0.029237432405352592,
0.04993830621242523,
-0.014319292269647121,
-0.09119680523872375,
0.010596461594104767,
0.018097275868058205,
0.09160518646240234,
0.01005223486572504,
-0.09311307966709137,
0.04962413012981415,
-0.019720198586583138,
0.024580594152212143,
0.020303409546613693,
-0.07990565150976181,
-0.03473227098584175,
0.0499306358397007,
-0.024484295397996902,
0.04217670485377312,
0.050747379660606384,
0.011798589490354061,
-0.021296218037605286,
0.0531226322054863,
0.058784011751413345,
0.018044687807559967,
-0.018242215737700462,
-0.01622122898697853,
0.003611265914514661,
-0.0006566515658050776,
0.027957459911704063,
0.015150148421525955,
0.004298682790249586,
0.03294927626848221,
-0.12308789789676666,
0.11737125366926193,
-0.027110641822218895,
0.00529268616810441,
0.08296243101358414,
0.018152298405766487,
0.0542612187564373,
0.007253150921314955,
0.0047983708791434765,
-0.01162647269666195,
-0.026230143383145332,
-0.016463004052639008,
-0.02947632409632206,
-0.03784921020269394,
-0.0649987980723381,
-3.890006183837613e-8,
-0.05832040309906006,
0.005174827761948109,
-0.05079885199666023,
0.03438475728034973,
0.04543384164571762,
0.04803925007581711,
0.04113643988966942,
0.023583754897117615,
0.0025113055016845465,
0.056106794625520706,
0.02937145158648491,
-0.02614150196313858,
0.03203170374035835,
-0.02467726543545723,
0.0381510965526104,
0.03752582147717476,
0.03254781290888786,
-0.05292757228016853,
-0.009355159476399422,
-0.02604450285434723,
-0.004117821808904409,
0.08324223011732101,
0.04298679158091545,
-0.07898002117872238,
0.03703893721103668,
0.0027851902414113283,
0.06613286584615707,
0.08080334961414337,
0.029073895886540413,
0.0019129515858367085,
0.0339057594537735,
-0.05207717791199684,
-0.05721428245306015,
-0.027866607531905174,
0.011962775141000748,
-0.028021574020385742,
0.01970656029880047,
0.005634828936308622,
0.011794081889092922,
-0.016408924013376236,
0.07200199365615845,
-0.06035057082772255,
0.05010463669896126,
0.01473749615252018,
0.060557249933481216,
-0.018353987485170364,
-0.04441501200199127,
0.049125563353300095,
0.033420685678720474,
-0.06215935945510864,
-0.009610439650714397,
-0.07671167701482773,
-0.02950870431959629,
0.023714404553174973,
0.03078937716782093,
-0.06143452227115631,
0.05859118327498436,
0.022718820720911026,
0.08847964555025101,
0.06992850452661514,
0.009292257018387318,
0.014376668259501457,
-0.03682493045926094,
-0.01815483346581459
] |
1401.1771 | Yang Xiang | Yang Xiang | Simple linear algorithms for mining graph cores | null | null | null | null | cs.DS cs.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Batagelj and Zaversnik proposed a linear algorithm for the well-known
$k$-core decomposition problem. However, when $k$-cores are desired for a given
$k$, we find that a simple linear algorithm requiring no sorting works for
mining $k$-cores. In addition, this algorithm can be extended to mine $(k_1,
k_2,\ldots, k_p)$-cores from $p$-partite graphs in linear time, and this mining
approach can be efficiently implemented in a distributed computing environment
with a lower message complexity bound in comparison with the best known method
of distributed $k$-core decomposition.
| [
{
"created": "Wed, 8 Jan 2014 18:34:38 GMT",
"version": "v1"
}
] | 2014-01-09 | [
[
"Xiang",
"Yang",
""
]
] | [
-0.026408014819025993,
0.08378685265779495,
-0.005879659671336412,
-0.022695405408740044,
0.0922403410077095,
-0.0872124433517456,
-0.004227861762046814,
-0.010205619037151337,
-0.05362646281719208,
0.1261610984802246,
-0.07808320969343185,
0.050167910754680634,
0.03959385305643082,
0.028445355594158173,
-0.04581015557050705,
0.031212471425533295,
0.011385681107640266,
0.04908961430191994,
0.004871285054832697,
-0.004546246957033873,
-0.04979505389928818,
-0.05175397917628288,
-0.08474267274141312,
0.022593989968299866,
0.1142912358045578,
0.033434946089982986,
-0.016977619379758835,
-0.08112029731273651,
-0.027713341638445854,
0.021664131432771683,
0.011025133542716503,
-0.00400501349940896,
0.08775355666875839,
0.046942535787820816,
0.005623935721814632,
0.0497017428278923,
-0.040212422609329224,
-0.03128932788968086,
-0.0020448053255677223,
-0.01569206640124321,
-0.0032048746943473816,
0.06220109015703201,
-0.005012169014662504,
-0.00171286566182971,
-0.030060768127441406,
0.0865674689412117,
-0.0618521049618721,
0.003456354374065995,
-0.04612292721867561,
0.00172442477196455,
-0.047199539840221405,
-0.04482812061905861,
-0.056916117668151855,
0.08383684605360031,
-0.02723482996225357,
-0.0796261802315712,
0.00125314318574965,
-0.09831898659467697,
-0.014822249300777912,
0.07463676482439041,
0.045722752809524536,
-0.10485212504863739,
-0.02025603875517845,
-0.042990509420633316,
0.061427611857652664,
-0.05173681303858757,
0.08365173637866974,
0.03615260869264603,
0.0073050279170274734,
0.0049553606659173965,
0.057120561599731445,
-0.0018919793656095862,
-0.06290086358785629,
0.009392520412802696,
-0.0489119254052639,
0.05317180976271629,
0.0851641297340393,
-0.07108701020479202,
-0.0729128047823906,
-0.03308907151222229,
-0.04905334860086441,
0.08260141313076019,
-0.05235007405281067,
-0.06354214996099472,
0.03488763049244881,
-0.01868877187371254,
-0.043576788157224655,
0.015170671045780182,
0.004511294420808554,
-0.009379028342664242,
-0.04639175534248352,
0.02799476869404316,
0.041507288813591,
0.02485806494951248,
0.008004935458302498,
-0.03082175739109516,
0.07514739036560059,
0.10413040220737457,
-0.017721906304359436,
0.07455255091190338,
-0.049038201570510864,
0.018989844247698784,
0.0013833963312208652,
-0.08199805021286011,
-0.021077999845147133,
0.04189244285225868,
-0.05532268062233925,
0.021518593654036522,
-0.06041749194264412,
-0.10186856240034103,
-0.0362006276845932,
0.03420677036046982,
-0.04382379353046417,
0.06795759499073029,
0.0928526297211647,
-0.05479639396071434,
0.14583058655261993,
-0.01451899204403162,
0.04768843576312065,
0.06685957312583923,
0.05205615609884262,
-0.02745554782450199,
0.006356155965477228,
-0.000956556003075093,
0.04430380091071129,
0.08307888358831406,
0.03446752578020096,
1.4679403557400834e-33,
0.024942871183156967,
0.07241281121969223,
0.044614918529987335,
-0.04621773958206177,
0.04960495978593826,
0.00237295008264482,
0.00453215604647994,
-0.022735990583896637,
0.028722351416945457,
0.009359974414110184,
0.013853615149855614,
0.009280822239816189,
0.055508632212877274,
0.0042668613605201244,
0.012723430059850216,
-0.0710926428437233,
0.04521728307008743,
-0.004859898239374161,
-0.022648410871624947,
-0.10933658480644226,
0.04533882066607475,
-0.0279423575848341,
-0.04036860167980194,
0.019353587180376053,
-0.035520847886800766,
-0.0696544423699379,
0.015868280082941055,
-0.1375827044248581,
0.0036449949257075787,
0.03265058994293213,
-0.05665140599012375,
0.0630948394536972,
-0.021435953676700592,
0.08670860528945923,
-0.02208750508725643,
-0.002775732660666108,
-0.03205183893442154,
-0.02270272560417652,
-0.023941636085510254,
-0.049522630870342255,
-0.04024622589349747,
-0.004135400056838989,
-0.0412265844643116,
-0.08224959671497345,
-0.06670761108398438,
-0.012184006161987782,
-0.05926573649048805,
0.03966489061713219,
0.052565693855285645,
-0.05123971775174141,
0.021680235862731934,
-0.06028928607702255,
0.04450530558824539,
0.012980356812477112,
0.05013403668999672,
0.0682741329073906,
0.054129209369421005,
-0.015094824135303497,
0.107358917593956,
0.019680246710777283,
0.035291723906993866,
-0.03238562121987343,
-0.04028471186757088,
0.06617800891399384,
0.01442987471818924,
0.029860859736800194,
0.0033356251660734415,
-0.026100173592567444,
0.01390402764081955,
0.04467111453413963,
-0.08264952152967453,
0.09222286194562912,
0.02057942934334278,
-0.008299238048493862,
0.030523275956511497,
-0.016697973012924194,
0.04542882740497589,
-0.004593672696501017,
-0.09599710255861282,
-0.04752449691295624,
-0.0017806839896366,
0.06429044157266617,
0.02476029470562935,
-0.042641934007406235,
0.0276945810765028,
-0.013534151017665863,
-0.04393550753593445,
0.030516376718878746,
-0.014008459635078907,
-0.059917423874139786,
-0.10875298082828522,
-0.03136739879846573,
0.07931310683488846,
-0.008424517698585987,
-0.013408331200480461,
-2.005338995889097e-33,
-0.08873410522937775,
0.005337671842426062,
0.05406162887811661,
0.08484794944524765,
0.03487621620297432,
-0.0722719132900238,
-0.03308297321200371,
-0.06200534105300903,
-0.08014046400785446,
0.022338755428791046,
-0.042136963456869125,
-0.06347323209047318,
-0.017734849825501442,
0.039183516055345535,
0.0986248254776001,
0.030032914131879807,
-0.009530982002615929,
0.04437762871384621,
0.011086074635386467,
-0.007210349198430777,
-0.04778069630265236,
0.013743310235440731,
-0.04723786190152168,
-0.02275622822344303,
0.08052825927734375,
-0.009222828783094883,
-0.07848144322633743,
0.01912146806716919,
0.05788253992795944,
-0.021721255034208298,
-0.05626077204942703,
-0.013979088515043259,
-0.051614366471767426,
-0.06899236142635345,
-0.03601424768567085,
-0.03365005925297737,
-0.10671350359916687,
0.04751061648130417,
0.0003789238980971277,
0.06406646221876144,
-0.023226410150527954,
0.017281165346503258,
-0.035724084824323654,
-0.04962453618645668,
0.009841674007475376,
-0.010057314299046993,
0.016794268041849136,
0.025858493521809578,
0.018413016572594643,
-0.01493239589035511,
0.0578034482896328,
0.019617244601249695,
0.012489170767366886,
0.007169641554355621,
0.06565190851688385,
-0.0040663727559149265,
0.009300879202783108,
0.10811633616685867,
-0.02309836819767952,
-0.06384342163801193,
-0.03195629268884659,
-0.08208303153514862,
0.05438348278403282,
0.04789448902010918,
0.03601960837841034,
-0.028466884046792984,
0.03676633536815643,
-0.00908217579126358,
-0.08497059345245361,
0.07143492251634598,
0.03465252369642258,
0.05111251771450043,
-0.00041116192005574703,
0.016781942918896675,
-0.0007411457481794059,
-0.015789618715643883,
-0.008020961657166481,
0.09579094499349594,
-0.05269588902592659,
0.04927084222435951,
0.006061859894543886,
-0.005848119501024485,
-0.00464651407673955,
-0.053296878933906555,
0.05893860012292862,
0.006694433279335499,
0.03641688823699951,
-0.022411899641156197,
-0.017397377640008926,
-0.11364977806806564,
-0.037470921874046326,
0.009129304438829422,
0.022977007552981377,
0.03615749627351761,
-0.007566481828689575,
-4.271348430506805e-8,
0.04159947857260704,
-0.03422544524073601,
-0.07341686636209488,
-0.05158252641558647,
0.14320272207260132,
-0.015060735866427422,
0.0424991175532341,
0.05029270425438881,
0.03089318424463272,
0.010911747813224792,
0.10084593296051025,
-0.07840026915073395,
0.08047117292881012,
-0.014867066405713558,
-0.016673898324370384,
-0.01678038388490677,
-0.06231974810361862,
-0.04834610968828201,
-0.0009402390569448471,
0.009618694894015789,
0.012570871971547604,
-0.006847769487649202,
0.06258727610111237,
0.06321530044078827,
-0.011099056340754032,
0.01120867021381855,
0.029056156054139137,
0.005767670460045338,
0.040542177855968475,
0.04391047731041908,
-0.06313303858041763,
0.03262478485703468,
0.07242409884929657,
-0.031169338151812553,
0.0046545458026230335,
0.13927537202835083,
0.001294787973165512,
-0.00634902436286211,
-0.05701997131109238,
-0.05147362872958183,
-0.010235853493213654,
0.012110142037272453,
0.00043494452256709337,
-0.003911416977643967,
0.0760573297739029,
-0.05288093537092209,
0.019947638735175133,
-0.000011979856026300695,
-0.07085606455802917,
-0.03354211524128914,
-0.07159320265054703,
0.030757825821638107,
-0.020895352587103844,
0.0032645210158079863,
0.035555269569158554,
0.09254055470228195,
-0.010060432367026806,
-0.11738552898168564,
0.11130846291780472,
-0.10274375230073929,
0.05299786105751991,
-0.0930604487657547,
-0.03936054930090904,
0.05170777440071106
] | null | null | null | null | null | null | null | [
-0.026408014819025993,
0.08378685265779495,
-0.005879659671336412,
-0.022695405408740044,
0.0922403410077095,
-0.0872124433517456,
-0.004227861762046814,
-0.010205619037151337,
-0.05362646281719208,
0.1261610984802246,
-0.07808320969343185,
0.050167910754680634,
0.03959385305643082,
0.028445355594158173,
-0.04581015557050705,
0.031212471425533295,
0.011385681107640266,
0.04908961430191994,
0.004871285054832697,
-0.004546246957033873,
-0.04979505389928818,
-0.05175397917628288,
-0.08474267274141312,
0.022593989968299866,
0.1142912358045578,
0.033434946089982986,
-0.016977619379758835,
-0.08112029731273651,
-0.027713341638445854,
0.021664131432771683,
0.011025133542716503,
-0.00400501349940896,
0.08775355666875839,
0.046942535787820816,
0.005623935721814632,
0.0497017428278923,
-0.040212422609329224,
-0.03128932788968086,
-0.0020448053255677223,
-0.01569206640124321,
-0.0032048746943473816,
0.06220109015703201,
-0.005012169014662504,
-0.00171286566182971,
-0.030060768127441406,
0.0865674689412117,
-0.0618521049618721,
0.003456354374065995,
-0.04612292721867561,
0.00172442477196455,
-0.047199539840221405,
-0.04482812061905861,
-0.056916117668151855,
0.08383684605360031,
-0.02723482996225357,
-0.0796261802315712,
0.00125314318574965,
-0.09831898659467697,
-0.014822249300777912,
0.07463676482439041,
0.045722752809524536,
-0.10485212504863739,
-0.02025603875517845,
-0.042990509420633316,
0.061427611857652664,
-0.05173681303858757,
0.08365173637866974,
0.03615260869264603,
0.0073050279170274734,
0.0049553606659173965,
0.057120561599731445,
-0.0018919793656095862,
-0.06290086358785629,
0.009392520412802696,
-0.0489119254052639,
0.05317180976271629,
0.0851641297340393,
-0.07108701020479202,
-0.0729128047823906,
-0.03308907151222229,
-0.04905334860086441,
0.08260141313076019,
-0.05235007405281067,
-0.06354214996099472,
0.03488763049244881,
-0.01868877187371254,
-0.043576788157224655,
0.015170671045780182,
0.004511294420808554,
-0.009379028342664242,
-0.04639175534248352,
0.02799476869404316,
0.041507288813591,
0.02485806494951248,
0.008004935458302498,
-0.03082175739109516,
0.07514739036560059,
0.10413040220737457,
-0.017721906304359436,
0.07455255091190338,
-0.049038201570510864,
0.018989844247698784,
0.0013833963312208652,
-0.08199805021286011,
-0.021077999845147133,
0.04189244285225868,
-0.05532268062233925,
0.021518593654036522,
-0.06041749194264412,
-0.10186856240034103,
-0.0362006276845932,
0.03420677036046982,
-0.04382379353046417,
0.06795759499073029,
0.0928526297211647,
-0.05479639396071434,
0.14583058655261993,
-0.01451899204403162,
0.04768843576312065,
0.06685957312583923,
0.05205615609884262,
-0.02745554782450199,
0.006356155965477228,
-0.000956556003075093,
0.04430380091071129,
0.08307888358831406,
0.03446752578020096,
1.4679403557400834e-33,
0.024942871183156967,
0.07241281121969223,
0.044614918529987335,
-0.04621773958206177,
0.04960495978593826,
0.00237295008264482,
0.00453215604647994,
-0.022735990583896637,
0.028722351416945457,
0.009359974414110184,
0.013853615149855614,
0.009280822239816189,
0.055508632212877274,
0.0042668613605201244,
0.012723430059850216,
-0.0710926428437233,
0.04521728307008743,
-0.004859898239374161,
-0.022648410871624947,
-0.10933658480644226,
0.04533882066607475,
-0.0279423575848341,
-0.04036860167980194,
0.019353587180376053,
-0.035520847886800766,
-0.0696544423699379,
0.015868280082941055,
-0.1375827044248581,
0.0036449949257075787,
0.03265058994293213,
-0.05665140599012375,
0.0630948394536972,
-0.021435953676700592,
0.08670860528945923,
-0.02208750508725643,
-0.002775732660666108,
-0.03205183893442154,
-0.02270272560417652,
-0.023941636085510254,
-0.049522630870342255,
-0.04024622589349747,
-0.004135400056838989,
-0.0412265844643116,
-0.08224959671497345,
-0.06670761108398438,
-0.012184006161987782,
-0.05926573649048805,
0.03966489061713219,
0.052565693855285645,
-0.05123971775174141,
0.021680235862731934,
-0.06028928607702255,
0.04450530558824539,
0.012980356812477112,
0.05013403668999672,
0.0682741329073906,
0.054129209369421005,
-0.015094824135303497,
0.107358917593956,
0.019680246710777283,
0.035291723906993866,
-0.03238562121987343,
-0.04028471186757088,
0.06617800891399384,
0.01442987471818924,
0.029860859736800194,
0.0033356251660734415,
-0.026100173592567444,
0.01390402764081955,
0.04467111453413963,
-0.08264952152967453,
0.09222286194562912,
0.02057942934334278,
-0.008299238048493862,
0.030523275956511497,
-0.016697973012924194,
0.04542882740497589,
-0.004593672696501017,
-0.09599710255861282,
-0.04752449691295624,
-0.0017806839896366,
0.06429044157266617,
0.02476029470562935,
-0.042641934007406235,
0.0276945810765028,
-0.013534151017665863,
-0.04393550753593445,
0.030516376718878746,
-0.014008459635078907,
-0.059917423874139786,
-0.10875298082828522,
-0.03136739879846573,
0.07931310683488846,
-0.008424517698585987,
-0.013408331200480461,
-2.005338995889097e-33,
-0.08873410522937775,
0.005337671842426062,
0.05406162887811661,
0.08484794944524765,
0.03487621620297432,
-0.0722719132900238,
-0.03308297321200371,
-0.06200534105300903,
-0.08014046400785446,
0.022338755428791046,
-0.042136963456869125,
-0.06347323209047318,
-0.017734849825501442,
0.039183516055345535,
0.0986248254776001,
0.030032914131879807,
-0.009530982002615929,
0.04437762871384621,
0.011086074635386467,
-0.007210349198430777,
-0.04778069630265236,
0.013743310235440731,
-0.04723786190152168,
-0.02275622822344303,
0.08052825927734375,
-0.009222828783094883,
-0.07848144322633743,
0.01912146806716919,
0.05788253992795944,
-0.021721255034208298,
-0.05626077204942703,
-0.013979088515043259,
-0.051614366471767426,
-0.06899236142635345,
-0.03601424768567085,
-0.03365005925297737,
-0.10671350359916687,
0.04751061648130417,
0.0003789238980971277,
0.06406646221876144,
-0.023226410150527954,
0.017281165346503258,
-0.035724084824323654,
-0.04962453618645668,
0.009841674007475376,
-0.010057314299046993,
0.016794268041849136,
0.025858493521809578,
0.018413016572594643,
-0.01493239589035511,
0.0578034482896328,
0.019617244601249695,
0.012489170767366886,
0.007169641554355621,
0.06565190851688385,
-0.0040663727559149265,
0.009300879202783108,
0.10811633616685867,
-0.02309836819767952,
-0.06384342163801193,
-0.03195629268884659,
-0.08208303153514862,
0.05438348278403282,
0.04789448902010918,
0.03601960837841034,
-0.028466884046792984,
0.03676633536815643,
-0.00908217579126358,
-0.08497059345245361,
0.07143492251634598,
0.03465252369642258,
0.05111251771450043,
-0.00041116192005574703,
0.016781942918896675,
-0.0007411457481794059,
-0.015789618715643883,
-0.008020961657166481,
0.09579094499349594,
-0.05269588902592659,
0.04927084222435951,
0.006061859894543886,
-0.005848119501024485,
-0.00464651407673955,
-0.053296878933906555,
0.05893860012292862,
0.006694433279335499,
0.03641688823699951,
-0.022411899641156197,
-0.017397377640008926,
-0.11364977806806564,
-0.037470921874046326,
0.009129304438829422,
0.022977007552981377,
0.03615749627351761,
-0.007566481828689575,
-4.271348430506805e-8,
0.04159947857260704,
-0.03422544524073601,
-0.07341686636209488,
-0.05158252641558647,
0.14320272207260132,
-0.015060735866427422,
0.0424991175532341,
0.05029270425438881,
0.03089318424463272,
0.010911747813224792,
0.10084593296051025,
-0.07840026915073395,
0.08047117292881012,
-0.014867066405713558,
-0.016673898324370384,
-0.01678038388490677,
-0.06231974810361862,
-0.04834610968828201,
-0.0009402390569448471,
0.009618694894015789,
0.012570871971547604,
-0.006847769487649202,
0.06258727610111237,
0.06321530044078827,
-0.011099056340754032,
0.01120867021381855,
0.029056156054139137,
0.005767670460045338,
0.040542177855968475,
0.04391047731041908,
-0.06313303858041763,
0.03262478485703468,
0.07242409884929657,
-0.031169338151812553,
0.0046545458026230335,
0.13927537202835083,
0.001294787973165512,
-0.00634902436286211,
-0.05701997131109238,
-0.05147362872958183,
-0.010235853493213654,
0.012110142037272453,
0.00043494452256709337,
-0.003911416977643967,
0.0760573297739029,
-0.05288093537092209,
0.019947638735175133,
-0.000011979856026300695,
-0.07085606455802917,
-0.03354211524128914,
-0.07159320265054703,
0.030757825821638107,
-0.020895352587103844,
0.0032645210158079863,
0.035555269569158554,
0.09254055470228195,
-0.010060432367026806,
-0.11738552898168564,
0.11130846291780472,
-0.10274375230073929,
0.05299786105751991,
-0.0930604487657547,
-0.03936054930090904,
0.05170777440071106
] |