id
stringlengths 9
10
| submitter
stringlengths 1
64
⌀ | authors
stringlengths 4
23.3k
| title
stringlengths 1
294
| comments
stringlengths 1
658
⌀ | journal-ref
stringlengths 1
557
⌀ | doi
stringlengths 10
153
⌀ | report-no
stringlengths 2
479
⌀ | categories
stringlengths 5
102
| license
stringclasses 9
values | abstract
stringlengths 6
5.09k
| versions
list | update_date
stringlengths 10
10
| authors_parsed
list | embeddings
list | paper_title
stringlengths 4
229
⌀ | paper_url_abs
stringlengths 32
35
⌀ | paper_url_pdf
stringlengths 36
39
⌀ | repo_url
stringlengths 26
195
⌀ | is_official
bool 2
classes | mentioned_in_paper
bool 2
classes | pwc_url
stringlengths 40
81
⌀ | abs_enc
list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1402.2810
|
Georgios Zois
|
Evripidis Bampis, Vincent Chau, Dimitrios Letsios, Giorgio Lucarelli,
Ioannis Milis and Georgios Zois
|
Energy Efficient Scheduling of MapReduce Jobs
|
22 pages
| null | null | null |
cs.DC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
MapReduce is emerged as a prominent programming model for data-intensive
computation. In this work, we study power-aware MapReduce scheduling in the
speed scaling setting first introduced by Yao et al. [FOCS 1995]. We focus on
the minimization of the total weighted completion time of a set of MapReduce
jobs under a given budget of energy. Using a linear programming relaxation of
our problem, we derive a polynomial time constant-factor approximation
algorithm. We also propose a convex programming formulation that we combine
with standard list scheduling policies, and we evaluate their performance using
simulations.
|
[
{
"created": "Wed, 12 Feb 2014 13:16:16 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Bampis",
"Evripidis",
""
],
[
"Chau",
"Vincent",
""
],
[
"Letsios",
"Dimitrios",
""
],
[
"Lucarelli",
"Giorgio",
""
],
[
"Milis",
"Ioannis",
""
],
[
"Zois",
"Georgios",
""
]
] |
[
-0.019780701026320457,
0.017916295677423477,
-0.013874215073883533,
0.05496332794427872,
-0.00787422340363264,
-0.03995242342352867,
-0.02531437575817108,
-0.04100658372044563,
-0.1020422875881195,
0.08602125197649002,
-0.06465127319097519,
0.03313908725976944,
0.007346711587160826,
0.010075944475829601,
-0.03928206115961075,
0.008642632514238358,
0.06665583699941635,
0.06548511236906052,
-0.0511171855032444,
-0.08826212584972382,
-0.03283792361617088,
0.02871755138039589,
-0.01814034953713417,
-0.012669081799685955,
0.09598207473754883,
0.037035275250673294,
0.0185406431555748,
-0.049016814678907394,
-0.022061368450522423,
0.0734172910451889,
-0.06739553809165955,
-0.03685964643955231,
0.05572613328695297,
-0.03142828494310379,
0.05031583830714226,
0.07040313631296158,
-0.06244111433625221,
-0.03786678612232208,
-0.024548182263970375,
0.04908129200339317,
0.02655598148703575,
0.007494647521525621,
-0.03788384422659874,
0.06999634951353073,
-0.0872601866722107,
-0.003694938961416483,
0.06376674771308899,
0.01689000241458416,
-0.012106350623071194,
0.01638350822031498,
-0.021467413753271103,
-0.08229539543390274,
-0.05626925081014633,
0.008268969133496284,
-0.05309581011533737,
0.017640195786952972,
0.09624534100294113,
-0.06279916316270828,
0.007321151904761791,
-0.0027334492187947035,
-0.07111130654811859,
-0.12072482705116272,
0.012757843360304832,
-0.018467456102371216,
0.006819078698754311,
0.008473864756524563,
0.052834946662187576,
0.007343400735408068,
-0.014440621249377728,
-0.005436167120933533,
0.026982037350535393,
-0.003105105133727193,
-0.07220879197120667,
-0.0420772023499012,
0.00007366378122242168,
-0.031168676912784576,
0.03752751648426056,
-0.06391089409589767,
0.0020627283956855536,
-0.025454681366682053,
-0.04217028617858887,
-0.050004180520772934,
0.022567635402083397,
-0.0016340871807187796,
0.012398021295666695,
-0.056919313967227936,
0.06333283334970474,
0.01229854952543974,
0.07830644398927689,
0.0032270317897200584,
-0.015391706489026546,
0.05091746523976326,
0.0326843298971653,
0.0033825295977294445,
-0.037678368389606476,
-0.05314375087618828,
0.009716160595417023,
-0.001575724221765995,
-0.01945018395781517,
-0.00450295303016901,
-0.02308078296482563,
0.014775433577597141,
0.05308957397937775,
-0.013209565542638302,
-0.014898955821990967,
-0.009245747700333595,
-0.016652854159474373,
0.028645062819123268,
-0.10017329454421997,
-0.03196338564157486,
0.06386244297027588,
0.06289910525083542,
0.05441770702600479,
-0.00018776845536194742,
-0.011753259226679802,
0.026641136035323143,
0.01862356811761856,
-0.01057181041687727,
0.041187211871147156,
0.11001742631196976,
-0.006789105944335461,
-0.031002908945083618,
0.046624746173620224,
-0.1076587662100792,
-0.04394537955522537,
-0.021450938656926155,
-0.04137919098138809,
-1.4419296963277594e-33,
-0.05724267289042473,
0.017797959968447685,
0.048079244792461395,
-0.13013790547847748,
0.09788507968187332,
-0.03584860637784004,
-0.009782318025827408,
-0.003735082456842065,
-0.09467539936304092,
-0.020289065316319466,
-0.0381273552775383,
0.0741044133901596,
-0.02170238271355629,
0.09576619416475296,
-0.009933936409652233,
-0.014205952174961567,
0.0871935486793518,
0.07218919694423676,
-0.0022423346526920795,
-0.06392549723386765,
0.06449458748102188,
-0.0443858839571476,
-0.0555604062974453,
0.018652189522981644,
0.03831600025296211,
-0.03706039860844612,
-0.011148924939334393,
-0.030197734013199806,
0.038278624415397644,
0.020128969103097916,
-0.005817554425448179,
0.015077579766511917,
0.029755249619483948,
0.06451541185379028,
-0.002916156779974699,
0.03421695530414581,
0.045815564692020416,
-0.0193797517567873,
0.046505969017744064,
0.03187544643878937,
0.03163273259997368,
0.015234770253300667,
-0.02730793133378029,
-0.15098176896572113,
-0.1423155516386032,
-0.1260753720998764,
0.053599026054143906,
0.0028800289146602154,
0.04048402979969978,
0.08271912485361099,
0.10038220137357712,
-0.05709141120314598,
0.016058489680290222,
0.06942258030176163,
0.0018886951729655266,
-0.01181590836495161,
-0.02651108428835869,
0.0132325803861022,
0.13451535999774933,
0.13739219307899475,
-0.10056168586015701,
-0.013308131136000156,
0.025705276057124138,
0.007936745882034302,
-0.004536031279712915,
-0.02371465042233467,
0.007547388784587383,
-0.00023226308985613286,
0.025968780741095543,
-0.024206293746829033,
-0.026536250486969948,
0.008158153854310513,
0.029397450387477875,
0.005777886603027582,
0.04236343130469322,
0.04031418263912201,
0.052219029515981674,
-0.03380480781197548,
-0.10657479614019394,
-0.06173750385642052,
-0.06798404455184937,
0.06958586722612381,
0.0370166152715683,
-0.0446779802441597,
-0.036960452795028687,
-0.056522857397794724,
-0.0071307094767689705,
0.05075240135192871,
-0.025414127856492996,
-0.032294560223817825,
-0.0890737995505333,
0.004705601371824741,
0.017527425661683083,
-0.01664937287569046,
-0.013025019317865372,
6.222112578064998e-35,
-0.08256859332323074,
-0.05776125192642212,
-0.026126792654395103,
0.12349511682987213,
0.07285057008266449,
-0.07006588578224182,
-0.002625864464789629,
-0.11392619460821152,
-0.00728184450417757,
0.04364699497818947,
-0.04746052995324135,
-0.08943893760442734,
-0.017084265127778053,
-0.04256599396467209,
0.027344532310962677,
-0.01046297699213028,
0.017750749364495277,
-0.009553508833050728,
-0.06725232303142548,
0.01426644530147314,
0.023291753605008125,
0.003282196819782257,
-0.00565444165840745,
-0.0017876200145110488,
0.06041146069765091,
-0.002776790177449584,
-0.03835732117295265,
-0.0266782995313406,
0.007716481573879719,
0.02664071135222912,
-0.08484844118356705,
-0.0454743467271328,
-0.03592439740896225,
-0.05085428059101105,
0.02013787068426609,
0.06496816128492355,
-0.030840054154396057,
0.10134416073560715,
-0.0113572021946311,
0.12537911534309387,
0.05326992645859718,
-0.021730655804276466,
-0.057710107415914536,
-0.01670219749212265,
0.017862286418676376,
0.0013469139812514186,
-0.02701769769191742,
0.026138348504900932,
0.018800294026732445,
0.0432230643928051,
0.03376137092709541,
0.04291864484548569,
0.0828230232000351,
0.09832119196653366,
0.023523133248090744,
-0.08630179613828659,
0.040608134120702744,
0.0151619678363204,
-0.04887747764587402,
-0.05858493596315384,
-0.028599103912711143,
-0.103000707924366,
0.079437755048275,
0.11489399522542953,
0.03576897084712982,
-0.05545482039451599,
0.04466332495212555,
-0.03713855892419815,
0.006406095344573259,
-0.047742415219545364,
-0.06165421009063721,
0.08065785467624664,
0.020558811724185944,
0.05975881963968277,
-0.08421944081783295,
0.012220033444464207,
0.020135706290602684,
0.061292100697755814,
0.03582506999373436,
0.10752079635858536,
0.05452742427587509,
0.0983138456940651,
0.04281064495444298,
-0.04843222722411156,
0.005616955924779177,
0.017729321494698524,
0.03303513303399086,
-0.009830586612224579,
0.01595957763493061,
-0.038998302072286606,
-0.01743818074464798,
-0.050776559859514236,
-0.06283631920814514,
0.05910083279013634,
-0.02093322202563286,
-3.654435332123285e-8,
0.009234101511538029,
0.03062407113611698,
0.00159301923122257,
-0.004083746112883091,
0.07928381860256195,
-0.1030370220541954,
0.08020676672458649,
0.07935097813606262,
0.022965747863054276,
0.0616430938243866,
0.14071309566497803,
-0.07285662740468979,
0.08258404582738876,
-0.03184590861201286,
0.05801963433623314,
0.05880293622612953,
0.07658784091472626,
-0.03525557368993759,
-0.0032858354970812798,
0.015754688531160355,
-0.07992342114448547,
0.03318073973059654,
-0.03667426481842995,
0.005173388868570328,
0.016724713146686554,
0.05729145184159279,
0.07715097069740295,
0.006091244984418154,
0.053581226617097855,
-0.01998819038271904,
-0.027419788762927055,
-0.02372770942747593,
0.012995393015444279,
-0.0806831493973732,
-0.020702945068478584,
-0.04249751567840576,
0.029051048681139946,
-0.0243179053068161,
-0.03657935559749603,
0.014509077183902264,
0.020273037254810333,
0.02937302179634571,
0.038479771465063095,
-0.026142243295907974,
0.05890888720750809,
0.014548891223967075,
-0.06059466302394867,
0.06354943662881851,
-0.015253857709467411,
0.02363559603691101,
-0.04241839423775673,
0.06386490166187286,
0.0062974439933896065,
0.030722904950380325,
0.02232169546186924,
0.04227679222822189,
-0.00456954026594758,
-0.03992227837443352,
-0.013070317916572094,
-0.025260498747229576,
0.001751978532411158,
-0.05033280327916145,
-0.04063081741333008,
-0.025958364829421043
] | null | null | null | null | null | null | null |
[
-0.019780701026320457,
0.017916295677423477,
-0.013874215073883533,
0.05496332794427872,
-0.00787422340363264,
-0.03995242342352867,
-0.02531437575817108,
-0.04100658372044563,
-0.1020422875881195,
0.08602125197649002,
-0.06465127319097519,
0.03313908725976944,
0.007346711587160826,
0.010075944475829601,
-0.03928206115961075,
0.008642632514238358,
0.06665583699941635,
0.06548511236906052,
-0.0511171855032444,
-0.08826212584972382,
-0.03283792361617088,
0.02871755138039589,
-0.01814034953713417,
-0.012669081799685955,
0.09598207473754883,
0.037035275250673294,
0.0185406431555748,
-0.049016814678907394,
-0.022061368450522423,
0.0734172910451889,
-0.06739553809165955,
-0.03685964643955231,
0.05572613328695297,
-0.03142828494310379,
0.05031583830714226,
0.07040313631296158,
-0.06244111433625221,
-0.03786678612232208,
-0.024548182263970375,
0.04908129200339317,
0.02655598148703575,
0.007494647521525621,
-0.03788384422659874,
0.06999634951353073,
-0.0872601866722107,
-0.003694938961416483,
0.06376674771308899,
0.01689000241458416,
-0.012106350623071194,
0.01638350822031498,
-0.021467413753271103,
-0.08229539543390274,
-0.05626925081014633,
0.008268969133496284,
-0.05309581011533737,
0.017640195786952972,
0.09624534100294113,
-0.06279916316270828,
0.007321151904761791,
-0.0027334492187947035,
-0.07111130654811859,
-0.12072482705116272,
0.012757843360304832,
-0.018467456102371216,
0.006819078698754311,
0.008473864756524563,
0.052834946662187576,
0.007343400735408068,
-0.014440621249377728,
-0.005436167120933533,
0.026982037350535393,
-0.003105105133727193,
-0.07220879197120667,
-0.0420772023499012,
0.00007366378122242168,
-0.031168676912784576,
0.03752751648426056,
-0.06391089409589767,
0.0020627283956855536,
-0.025454681366682053,
-0.04217028617858887,
-0.050004180520772934,
0.022567635402083397,
-0.0016340871807187796,
0.012398021295666695,
-0.056919313967227936,
0.06333283334970474,
0.01229854952543974,
0.07830644398927689,
0.0032270317897200584,
-0.015391706489026546,
0.05091746523976326,
0.0326843298971653,
0.0033825295977294445,
-0.037678368389606476,
-0.05314375087618828,
0.009716160595417023,
-0.001575724221765995,
-0.01945018395781517,
-0.00450295303016901,
-0.02308078296482563,
0.014775433577597141,
0.05308957397937775,
-0.013209565542638302,
-0.014898955821990967,
-0.009245747700333595,
-0.016652854159474373,
0.028645062819123268,
-0.10017329454421997,
-0.03196338564157486,
0.06386244297027588,
0.06289910525083542,
0.05441770702600479,
-0.00018776845536194742,
-0.011753259226679802,
0.026641136035323143,
0.01862356811761856,
-0.01057181041687727,
0.041187211871147156,
0.11001742631196976,
-0.006789105944335461,
-0.031002908945083618,
0.046624746173620224,
-0.1076587662100792,
-0.04394537955522537,
-0.021450938656926155,
-0.04137919098138809,
-1.4419296963277594e-33,
-0.05724267289042473,
0.017797959968447685,
0.048079244792461395,
-0.13013790547847748,
0.09788507968187332,
-0.03584860637784004,
-0.009782318025827408,
-0.003735082456842065,
-0.09467539936304092,
-0.020289065316319466,
-0.0381273552775383,
0.0741044133901596,
-0.02170238271355629,
0.09576619416475296,
-0.009933936409652233,
-0.014205952174961567,
0.0871935486793518,
0.07218919694423676,
-0.0022423346526920795,
-0.06392549723386765,
0.06449458748102188,
-0.0443858839571476,
-0.0555604062974453,
0.018652189522981644,
0.03831600025296211,
-0.03706039860844612,
-0.011148924939334393,
-0.030197734013199806,
0.038278624415397644,
0.020128969103097916,
-0.005817554425448179,
0.015077579766511917,
0.029755249619483948,
0.06451541185379028,
-0.002916156779974699,
0.03421695530414581,
0.045815564692020416,
-0.0193797517567873,
0.046505969017744064,
0.03187544643878937,
0.03163273259997368,
0.015234770253300667,
-0.02730793133378029,
-0.15098176896572113,
-0.1423155516386032,
-0.1260753720998764,
0.053599026054143906,
0.0028800289146602154,
0.04048402979969978,
0.08271912485361099,
0.10038220137357712,
-0.05709141120314598,
0.016058489680290222,
0.06942258030176163,
0.0018886951729655266,
-0.01181590836495161,
-0.02651108428835869,
0.0132325803861022,
0.13451535999774933,
0.13739219307899475,
-0.10056168586015701,
-0.013308131136000156,
0.025705276057124138,
0.007936745882034302,
-0.004536031279712915,
-0.02371465042233467,
0.007547388784587383,
-0.00023226308985613286,
0.025968780741095543,
-0.024206293746829033,
-0.026536250486969948,
0.008158153854310513,
0.029397450387477875,
0.005777886603027582,
0.04236343130469322,
0.04031418263912201,
0.052219029515981674,
-0.03380480781197548,
-0.10657479614019394,
-0.06173750385642052,
-0.06798404455184937,
0.06958586722612381,
0.0370166152715683,
-0.0446779802441597,
-0.036960452795028687,
-0.056522857397794724,
-0.0071307094767689705,
0.05075240135192871,
-0.025414127856492996,
-0.032294560223817825,
-0.0890737995505333,
0.004705601371824741,
0.017527425661683083,
-0.01664937287569046,
-0.013025019317865372,
6.222112578064998e-35,
-0.08256859332323074,
-0.05776125192642212,
-0.026126792654395103,
0.12349511682987213,
0.07285057008266449,
-0.07006588578224182,
-0.002625864464789629,
-0.11392619460821152,
-0.00728184450417757,
0.04364699497818947,
-0.04746052995324135,
-0.08943893760442734,
-0.017084265127778053,
-0.04256599396467209,
0.027344532310962677,
-0.01046297699213028,
0.017750749364495277,
-0.009553508833050728,
-0.06725232303142548,
0.01426644530147314,
0.023291753605008125,
0.003282196819782257,
-0.00565444165840745,
-0.0017876200145110488,
0.06041146069765091,
-0.002776790177449584,
-0.03835732117295265,
-0.0266782995313406,
0.007716481573879719,
0.02664071135222912,
-0.08484844118356705,
-0.0454743467271328,
-0.03592439740896225,
-0.05085428059101105,
0.02013787068426609,
0.06496816128492355,
-0.030840054154396057,
0.10134416073560715,
-0.0113572021946311,
0.12537911534309387,
0.05326992645859718,
-0.021730655804276466,
-0.057710107415914536,
-0.01670219749212265,
0.017862286418676376,
0.0013469139812514186,
-0.02701769769191742,
0.026138348504900932,
0.018800294026732445,
0.0432230643928051,
0.03376137092709541,
0.04291864484548569,
0.0828230232000351,
0.09832119196653366,
0.023523133248090744,
-0.08630179613828659,
0.040608134120702744,
0.0151619678363204,
-0.04887747764587402,
-0.05858493596315384,
-0.028599103912711143,
-0.103000707924366,
0.079437755048275,
0.11489399522542953,
0.03576897084712982,
-0.05545482039451599,
0.04466332495212555,
-0.03713855892419815,
0.006406095344573259,
-0.047742415219545364,
-0.06165421009063721,
0.08065785467624664,
0.020558811724185944,
0.05975881963968277,
-0.08421944081783295,
0.012220033444464207,
0.020135706290602684,
0.061292100697755814,
0.03582506999373436,
0.10752079635858536,
0.05452742427587509,
0.0983138456940651,
0.04281064495444298,
-0.04843222722411156,
0.005616955924779177,
0.017729321494698524,
0.03303513303399086,
-0.009830586612224579,
0.01595957763493061,
-0.038998302072286606,
-0.01743818074464798,
-0.050776559859514236,
-0.06283631920814514,
0.05910083279013634,
-0.02093322202563286,
-3.654435332123285e-8,
0.009234101511538029,
0.03062407113611698,
0.00159301923122257,
-0.004083746112883091,
0.07928381860256195,
-0.1030370220541954,
0.08020676672458649,
0.07935097813606262,
0.022965747863054276,
0.0616430938243866,
0.14071309566497803,
-0.07285662740468979,
0.08258404582738876,
-0.03184590861201286,
0.05801963433623314,
0.05880293622612953,
0.07658784091472626,
-0.03525557368993759,
-0.0032858354970812798,
0.015754688531160355,
-0.07992342114448547,
0.03318073973059654,
-0.03667426481842995,
0.005173388868570328,
0.016724713146686554,
0.05729145184159279,
0.07715097069740295,
0.006091244984418154,
0.053581226617097855,
-0.01998819038271904,
-0.027419788762927055,
-0.02372770942747593,
0.012995393015444279,
-0.0806831493973732,
-0.020702945068478584,
-0.04249751567840576,
0.029051048681139946,
-0.0243179053068161,
-0.03657935559749603,
0.014509077183902264,
0.020273037254810333,
0.02937302179634571,
0.038479771465063095,
-0.026142243295907974,
0.05890888720750809,
0.014548891223967075,
-0.06059466302394867,
0.06354943662881851,
-0.015253857709467411,
0.02363559603691101,
-0.04241839423775673,
0.06386490166187286,
0.0062974439933896065,
0.030722904950380325,
0.02232169546186924,
0.04227679222822189,
-0.00456954026594758,
-0.03992227837443352,
-0.013070317916572094,
-0.025260498747229576,
0.001751978532411158,
-0.05033280327916145,
-0.04063081741333008,
-0.025958364829421043
] |
1402.2811
|
Thomas Philbin
|
T.G. Philbin
|
Making geometrical optics exact
|
5 pages
|
J. Mod. Opt. 61 (2014) 552
|
10.1080/09500340.2014.899646
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Geometrical optics (GO) is widely used in studies of electromagnetic
materials because of its ease of use compared to full-wave numerical
simulations. Exact solutions for waves can, however, differ significantly from
the GO approximation. In particular, effects that are "perfect" for waves
cannot usually be derived using GO. Here we give a method for designing
materials in which GO is exact for some waves. This enables us to find
interesting analytical solutions for exact wave propagation in inhomogeneous
media. Two examples of the technique are given: a material in which two point
sources do not interfere, and a perfect isotropic cloak for waves from a point
source. We also give the form of material response required for GO to be exact
for all waves.
|
[
{
"created": "Wed, 12 Feb 2014 13:19:39 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Philbin",
"T. G.",
""
]
] |
[
-0.06017705053091049,
0.026192206889390945,
0.07191149145364761,
-0.016695182770490646,
0.024610619992017746,
-0.08199892938137054,
0.011947459541261196,
-0.0023792549036443233,
-0.07379787415266037,
0.02726108394563198,
0.05341137573122978,
-0.0022204569540917873,
-0.027471451088786125,
-0.018851514905691147,
0.10229308158159256,
-0.06004505231976509,
-0.009025180712342262,
-0.040560342371463776,
0.011370602063834667,
0.02670268900692463,
0.04545694217085838,
-0.019866935908794403,
-0.025371955707669258,
-0.08630359917879105,
0.04994465410709381,
-0.02201390266418457,
0.04843832552433014,
-0.0791969895362854,
0.028314003720879555,
0.00036653003189712763,
0.05749700963497162,
0.015635475516319275,
-0.10997778922319412,
-0.01941661909222603,
-0.14533722400665283,
-0.014986442402005196,
-0.008870299905538559,
-0.010273187421262264,
-0.061698079109191895,
0.018835658207535744,
-0.06259684264659882,
0.0916718989610672,
-0.03591158986091614,
0.06319989264011383,
-0.018079305067658424,
-0.08731701225042343,
0.09672828018665314,
0.04251032695174217,
-0.04422047734260559,
-0.040624070912599564,
-0.05532395467162132,
0.002304444322362542,
-0.08133011311292648,
0.038863327354192734,
0.06558220833539963,
0.00689597288146615,
0.009031000547111034,
0.0014817287446931005,
0.05486870929598808,
-0.004007542040199041,
0.05006277933716774,
-0.000471721199573949,
-0.013707955367863178,
-0.06710904091596603,
0.038853369653224945,
0.017516978085041046,
-0.0240339282900095,
0.010659990832209587,
0.0034114716108888388,
0.03537515923380852,
-0.032722048461437225,
-0.040417153388261795,
0.033542610704898834,
0.006927765905857086,
-0.005903270095586777,
0.08166179805994034,
-0.03073529526591301,
0.05542397499084473,
-0.048826903104782104,
0.07427731156349182,
-0.04909949004650116,
-0.07765473425388336,
-0.046728771179914474,
0.03380206599831581,
-0.046886198222637177,
0.050285182893276215,
-0.0882309302687645,
0.04916898533701897,
-0.03937859833240509,
-0.026659367606043816,
0.07126893103122711,
-0.035716261714696884,
-0.10482625663280487,
-0.08436332643032074,
0.013795111328363419,
-0.06587760150432587,
-0.03926590085029602,
-0.02633446268737316,
0.05067478492856026,
0.029781758785247803,
0.07440854609012604,
-0.10788238048553467,
-0.017926741391420364,
0.07606972008943558,
-0.08161798864603043,
0.014996682293713093,
0.03663581609725952,
0.06443018466234207,
-0.03867097944021225,
0.006379567552357912,
0.039899542927742004,
0.08010748773813248,
-0.0407940149307251,
0.019646627828478813,
-0.07196232676506042,
0.018336061388254166,
0.06274901330471039,
0.03607742488384247,
0.014834039844572544,
0.04360688477754593,
0.043265242129564285,
0.08545667678117752,
0.10798345506191254,
0.15069246292114258,
-0.00781591609120369,
-0.05772824212908745,
-0.014483989216387272,
2.264131975075293e-33,
-0.00918489322066307,
0.09630497545003891,
0.029172727838158607,
0.047870419919490814,
0.011799957603216171,
-0.038701143115758896,
0.08653020858764648,
0.058628104627132416,
0.06406571716070175,
0.010225863195955753,
-0.07365729659795761,
0.07433129847049713,
-0.003710396820679307,
0.023355625569820404,
-0.0006851398502476513,
0.02315075509250164,
0.016639739274978638,
0.025675859302282333,
-0.03731248527765274,
0.07378241419792175,
0.03995773196220398,
0.006321718450635672,
0.06667950004339218,
-0.053695037961006165,
-0.003814648138359189,
0.0011806848924607038,
-0.040468014776706696,
-0.03846537694334984,
0.0068601942621171474,
-0.005234319716691971,
0.04066327214241028,
0.012241081334650517,
0.03439432755112648,
0.0700860545039177,
0.030207805335521698,
0.04476908966898918,
-0.05543689429759979,
0.034299954771995544,
0.003850903594866395,
0.025811869651079178,
-0.06466534733772278,
0.0043820664286613464,
0.0960349589586258,
0.046941228210926056,
0.022747578099370003,
-0.06471125781536102,
-0.02169833704829216,
0.10327563434839249,
-0.021258052438497543,
0.0547461211681366,
0.041645150631666183,
-0.06465033441781998,
-0.10949772596359253,
-0.025820527225732803,
-0.015397358685731888,
0.017241328954696655,
-0.0118935015052557,
-0.04389484226703644,
0.024502573534846306,
-0.08158800005912781,
0.09348376840353012,
-0.060125548392534256,
0.05100676417350769,
-0.02353840321302414,
-0.06345129013061523,
-0.0002014864148804918,
0.013260108418762684,
-0.030923884361982346,
-0.039391372352838516,
0.008386867120862007,
-0.010766055434942245,
0.009094396606087685,
-0.02176552079617977,
0.046640969812870026,
0.013284397311508656,
-0.040527667850255966,
-0.024808986112475395,
-0.050186801701784134,
0.1262754648923874,
0.06639648973941803,
-0.09350697696208954,
0.008737387135624886,
-0.07715754956007004,
-0.10463375598192215,
-0.10769257694482803,
0.06579489260911942,
-0.0003926235076505691,
-0.03859162703156471,
-0.04815540462732315,
-0.12208658456802368,
0.019843600690364838,
0.04328208789229393,
-0.029129773378372192,
-0.06597285717725754,
0.03953859582543373,
-5.0342918603185185e-33,
0.013791478238999844,
-0.054779306054115295,
0.05626138299703598,
-0.0043336739763617516,
0.033855583518743515,
0.057494912296533585,
0.04547872766852379,
0.0008784343954175711,
0.057470183819532394,
-0.01197369396686554,
0.029448995366692543,
0.01970439963042736,
0.016648506745696068,
0.0015038213459774852,
-0.08480596542358398,
0.007780345156788826,
0.05641733855009079,
-0.031125925481319427,
-0.02241339720785618,
-0.029028117656707764,
0.003874254645779729,
-0.030564358457922935,
0.013604887761175632,
-0.01731809787452221,
-0.015281792730093002,
-0.0005750862183049321,
0.037677787244319916,
-0.0325743742287159,
-0.022525738924741745,
0.020207079127430916,
-0.001978936605155468,
0.0012681424850597978,
-0.01314257737249136,
-0.04953679442405701,
0.0595879927277565,
0.08018629997968674,
0.03135204315185547,
0.07391725480556488,
-0.021135104820132256,
-0.15080519020557404,
0.00206775963306427,
0.013642768375575542,
0.08165638148784637,
0.007773786783218384,
-0.08169937133789062,
0.0044917212799191475,
-0.05392732471227646,
-0.013928950764238834,
-0.04906758293509483,
-0.04278416931629181,
0.014469181187450886,
-0.035456735640764236,
0.0698801726102829,
-0.06704887002706528,
-0.012298853136599064,
0.037833601236343384,
-0.0470053069293499,
0.0026797389145940542,
0.03165452182292938,
0.05636981129646301,
-0.05396386235952377,
-0.024781711399555206,
0.02169094979763031,
-0.05543672293424606,
-0.015142424032092094,
0.06208190694451332,
-0.04316754639148712,
-0.011886700987815857,
-0.04923117905855179,
0.005306361708790064,
0.041200388222932816,
-0.05667799338698387,
-0.06662565469741821,
0.020684512332081795,
0.0009501888998784125,
-0.022716647014021873,
0.10358288139104843,
-0.015941547229886055,
-0.06640928238630295,
0.026892466470599174,
0.08080854266881943,
0.07709885388612747,
-0.04737783223390579,
-0.0002927089517470449,
0.01021378394216299,
-0.040453288704156876,
0.012211591936647892,
-0.0050756605342030525,
-0.004655982367694378,
0.03823450952768326,
0.029422257095575333,
0.028766706585884094,
0.017007792368531227,
-0.013702592812478542,
0.07276711612939835,
-5.066274511023039e-8,
0.024838628247380257,
0.03099949099123478,
0.019151762127876282,
-0.01543657761067152,
-0.08982058614492416,
-0.003436753060668707,
-0.004915693309158087,
-0.09541518241167068,
-0.037512876093387604,
-0.13242730498313904,
-0.04690992087125778,
-0.083578921854496,
-0.005639556795358658,
0.0062622507102787495,
0.006857998203486204,
0.003291256492957473,
-0.047197937965393066,
-0.007777081802487373,
-0.00601625582203269,
-0.009582743979990482,
-0.08186393976211548,
0.028492514044046402,
0.014518083073198795,
-0.0046719335950911045,
0.053515028208494186,
0.13747869431972504,
-0.024032581597566605,
-0.0048781209625303745,
0.08451312780380249,
0.07316716760396957,
-0.03399638831615448,
-0.07336476445198059,
-0.06569860130548477,
0.09290027618408203,
-0.08312973380088806,
0.02703510783612728,
-0.0034053644631057978,
-0.0340680293738842,
-0.08485476672649384,
-0.032964643090963364,
-0.044546667486429214,
0.027624433860182762,
0.05261840671300888,
-0.013400544412434101,
0.08522987365722656,
0.0662512332201004,
-0.02931160479784012,
-0.02881879359483719,
-0.060584984719753265,
0.09507758915424347,
0.022672874853014946,
0.019729549065232277,
-0.044737596064805984,
0.007535146549344063,
-0.03651360422372818,
0.037649113684892654,
-0.0033793337643146515,
-0.07376711070537567,
-0.0611414909362793,
-0.04849867522716522,
-0.015574142336845398,
-0.0004399361787363887,
-0.017731688916683197,
0.05999593436717987
] | null | null | null | null | null | null | null |
[
-0.06017705053091049,
0.026192206889390945,
0.07191149145364761,
-0.016695182770490646,
0.024610619992017746,
-0.08199892938137054,
0.011947459541261196,
-0.0023792549036443233,
-0.07379787415266037,
0.02726108394563198,
0.05341137573122978,
-0.0022204569540917873,
-0.027471451088786125,
-0.018851514905691147,
0.10229308158159256,
-0.06004505231976509,
-0.009025180712342262,
-0.040560342371463776,
0.011370602063834667,
0.02670268900692463,
0.04545694217085838,
-0.019866935908794403,
-0.025371955707669258,
-0.08630359917879105,
0.04994465410709381,
-0.02201390266418457,
0.04843832552433014,
-0.0791969895362854,
0.028314003720879555,
0.00036653003189712763,
0.05749700963497162,
0.015635475516319275,
-0.10997778922319412,
-0.01941661909222603,
-0.14533722400665283,
-0.014986442402005196,
-0.008870299905538559,
-0.010273187421262264,
-0.061698079109191895,
0.018835658207535744,
-0.06259684264659882,
0.0916718989610672,
-0.03591158986091614,
0.06319989264011383,
-0.018079305067658424,
-0.08731701225042343,
0.09672828018665314,
0.04251032695174217,
-0.04422047734260559,
-0.040624070912599564,
-0.05532395467162132,
0.002304444322362542,
-0.08133011311292648,
0.038863327354192734,
0.06558220833539963,
0.00689597288146615,
0.009031000547111034,
0.0014817287446931005,
0.05486870929598808,
-0.004007542040199041,
0.05006277933716774,
-0.000471721199573949,
-0.013707955367863178,
-0.06710904091596603,
0.038853369653224945,
0.017516978085041046,
-0.0240339282900095,
0.010659990832209587,
0.0034114716108888388,
0.03537515923380852,
-0.032722048461437225,
-0.040417153388261795,
0.033542610704898834,
0.006927765905857086,
-0.005903270095586777,
0.08166179805994034,
-0.03073529526591301,
0.05542397499084473,
-0.048826903104782104,
0.07427731156349182,
-0.04909949004650116,
-0.07765473425388336,
-0.046728771179914474,
0.03380206599831581,
-0.046886198222637177,
0.050285182893276215,
-0.0882309302687645,
0.04916898533701897,
-0.03937859833240509,
-0.026659367606043816,
0.07126893103122711,
-0.035716261714696884,
-0.10482625663280487,
-0.08436332643032074,
0.013795111328363419,
-0.06587760150432587,
-0.03926590085029602,
-0.02633446268737316,
0.05067478492856026,
0.029781758785247803,
0.07440854609012604,
-0.10788238048553467,
-0.017926741391420364,
0.07606972008943558,
-0.08161798864603043,
0.014996682293713093,
0.03663581609725952,
0.06443018466234207,
-0.03867097944021225,
0.006379567552357912,
0.039899542927742004,
0.08010748773813248,
-0.0407940149307251,
0.019646627828478813,
-0.07196232676506042,
0.018336061388254166,
0.06274901330471039,
0.03607742488384247,
0.014834039844572544,
0.04360688477754593,
0.043265242129564285,
0.08545667678117752,
0.10798345506191254,
0.15069246292114258,
-0.00781591609120369,
-0.05772824212908745,
-0.014483989216387272,
2.264131975075293e-33,
-0.00918489322066307,
0.09630497545003891,
0.029172727838158607,
0.047870419919490814,
0.011799957603216171,
-0.038701143115758896,
0.08653020858764648,
0.058628104627132416,
0.06406571716070175,
0.010225863195955753,
-0.07365729659795761,
0.07433129847049713,
-0.003710396820679307,
0.023355625569820404,
-0.0006851398502476513,
0.02315075509250164,
0.016639739274978638,
0.025675859302282333,
-0.03731248527765274,
0.07378241419792175,
0.03995773196220398,
0.006321718450635672,
0.06667950004339218,
-0.053695037961006165,
-0.003814648138359189,
0.0011806848924607038,
-0.040468014776706696,
-0.03846537694334984,
0.0068601942621171474,
-0.005234319716691971,
0.04066327214241028,
0.012241081334650517,
0.03439432755112648,
0.0700860545039177,
0.030207805335521698,
0.04476908966898918,
-0.05543689429759979,
0.034299954771995544,
0.003850903594866395,
0.025811869651079178,
-0.06466534733772278,
0.0043820664286613464,
0.0960349589586258,
0.046941228210926056,
0.022747578099370003,
-0.06471125781536102,
-0.02169833704829216,
0.10327563434839249,
-0.021258052438497543,
0.0547461211681366,
0.041645150631666183,
-0.06465033441781998,
-0.10949772596359253,
-0.025820527225732803,
-0.015397358685731888,
0.017241328954696655,
-0.0118935015052557,
-0.04389484226703644,
0.024502573534846306,
-0.08158800005912781,
0.09348376840353012,
-0.060125548392534256,
0.05100676417350769,
-0.02353840321302414,
-0.06345129013061523,
-0.0002014864148804918,
0.013260108418762684,
-0.030923884361982346,
-0.039391372352838516,
0.008386867120862007,
-0.010766055434942245,
0.009094396606087685,
-0.02176552079617977,
0.046640969812870026,
0.013284397311508656,
-0.040527667850255966,
-0.024808986112475395,
-0.050186801701784134,
0.1262754648923874,
0.06639648973941803,
-0.09350697696208954,
0.008737387135624886,
-0.07715754956007004,
-0.10463375598192215,
-0.10769257694482803,
0.06579489260911942,
-0.0003926235076505691,
-0.03859162703156471,
-0.04815540462732315,
-0.12208658456802368,
0.019843600690364838,
0.04328208789229393,
-0.029129773378372192,
-0.06597285717725754,
0.03953859582543373,
-5.0342918603185185e-33,
0.013791478238999844,
-0.054779306054115295,
0.05626138299703598,
-0.0043336739763617516,
0.033855583518743515,
0.057494912296533585,
0.04547872766852379,
0.0008784343954175711,
0.057470183819532394,
-0.01197369396686554,
0.029448995366692543,
0.01970439963042736,
0.016648506745696068,
0.0015038213459774852,
-0.08480596542358398,
0.007780345156788826,
0.05641733855009079,
-0.031125925481319427,
-0.02241339720785618,
-0.029028117656707764,
0.003874254645779729,
-0.030564358457922935,
0.013604887761175632,
-0.01731809787452221,
-0.015281792730093002,
-0.0005750862183049321,
0.037677787244319916,
-0.0325743742287159,
-0.022525738924741745,
0.020207079127430916,
-0.001978936605155468,
0.0012681424850597978,
-0.01314257737249136,
-0.04953679442405701,
0.0595879927277565,
0.08018629997968674,
0.03135204315185547,
0.07391725480556488,
-0.021135104820132256,
-0.15080519020557404,
0.00206775963306427,
0.013642768375575542,
0.08165638148784637,
0.007773786783218384,
-0.08169937133789062,
0.0044917212799191475,
-0.05392732471227646,
-0.013928950764238834,
-0.04906758293509483,
-0.04278416931629181,
0.014469181187450886,
-0.035456735640764236,
0.0698801726102829,
-0.06704887002706528,
-0.012298853136599064,
0.037833601236343384,
-0.0470053069293499,
0.0026797389145940542,
0.03165452182292938,
0.05636981129646301,
-0.05396386235952377,
-0.024781711399555206,
0.02169094979763031,
-0.05543672293424606,
-0.015142424032092094,
0.06208190694451332,
-0.04316754639148712,
-0.011886700987815857,
-0.04923117905855179,
0.005306361708790064,
0.041200388222932816,
-0.05667799338698387,
-0.06662565469741821,
0.020684512332081795,
0.0009501888998784125,
-0.022716647014021873,
0.10358288139104843,
-0.015941547229886055,
-0.06640928238630295,
0.026892466470599174,
0.08080854266881943,
0.07709885388612747,
-0.04737783223390579,
-0.0002927089517470449,
0.01021378394216299,
-0.040453288704156876,
0.012211591936647892,
-0.0050756605342030525,
-0.004655982367694378,
0.03823450952768326,
0.029422257095575333,
0.028766706585884094,
0.017007792368531227,
-0.013702592812478542,
0.07276711612939835,
-5.066274511023039e-8,
0.024838628247380257,
0.03099949099123478,
0.019151762127876282,
-0.01543657761067152,
-0.08982058614492416,
-0.003436753060668707,
-0.004915693309158087,
-0.09541518241167068,
-0.037512876093387604,
-0.13242730498313904,
-0.04690992087125778,
-0.083578921854496,
-0.005639556795358658,
0.0062622507102787495,
0.006857998203486204,
0.003291256492957473,
-0.047197937965393066,
-0.007777081802487373,
-0.00601625582203269,
-0.009582743979990482,
-0.08186393976211548,
0.028492514044046402,
0.014518083073198795,
-0.0046719335950911045,
0.053515028208494186,
0.13747869431972504,
-0.024032581597566605,
-0.0048781209625303745,
0.08451312780380249,
0.07316716760396957,
-0.03399638831615448,
-0.07336476445198059,
-0.06569860130548477,
0.09290027618408203,
-0.08312973380088806,
0.02703510783612728,
-0.0034053644631057978,
-0.0340680293738842,
-0.08485476672649384,
-0.032964643090963364,
-0.044546667486429214,
0.027624433860182762,
0.05261840671300888,
-0.013400544412434101,
0.08522987365722656,
0.0662512332201004,
-0.02931160479784012,
-0.02881879359483719,
-0.060584984719753265,
0.09507758915424347,
0.022672874853014946,
0.019729549065232277,
-0.044737596064805984,
0.007535146549344063,
-0.03651360422372818,
0.037649113684892654,
-0.0033793337643146515,
-0.07376711070537567,
-0.0611414909362793,
-0.04849867522716522,
-0.015574142336845398,
-0.0004399361787363887,
-0.017731688916683197,
0.05999593436717987
] |
1402.2812
|
Salman Parsa
|
Salman Parsa
|
Algorithms for Dynamic Reeb Graphs
|
There was a problem with the argument used in the original
submission. It seems that the truly dynamic nature of the problem puts it in
the category of problems such as dynamic graph connectivity that do not have
known poly-logarithmic algorihtms. To see the claims in the abstract and a
reduction of the problem to a dynamic graph problem refer to my PhD thesis
| null | null | null |
cs.CG cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an algorithm for updating the Reeb graph under fully dynamic
changes of the function values. The basic event is the interchange of two
consecutive vertex values. The algorithm updates the Reeb graph in $O(l g{n})$
worst-case deterministic time for each such interchange, where $l$ is an upper
bound on the size of the star of the involved vertices, and g(n) is a
worst-case bound for the dynamic graph connectivity problem. Moreover, we argue
that $O(l)$ is a lower bound for this operation in general.
|
[
{
"created": "Wed, 12 Feb 2014 13:21:27 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Mar 2014 15:44:14 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Jul 2015 12:07:00 GMT",
"version": "v3"
}
] |
2015-07-20
|
[
[
"Parsa",
"Salman",
""
]
] |
[
-0.017640484496951103,
0.008132672868669033,
-0.0008891216712072492,
0.0008736716699786484,
-0.04748445376753807,
-0.04023585468530655,
-0.04410216584801674,
-0.006754138041287661,
0.027066670358181,
0.010981074534356594,
-0.03314938768744469,
0.0414213202893734,
-0.017421750351786613,
-0.03957943245768547,
-0.03689361363649368,
0.0464634969830513,
0.010050694458186626,
0.001756748533807695,
0.01163049042224884,
-0.035796139389276505,
-0.04482773691415787,
-0.017829857766628265,
-0.06931914389133453,
-0.042474281042814255,
0.02645913138985634,
-0.06101301312446594,
-0.007874205708503723,
0.04917168989777565,
0.08122649043798447,
-0.06231950595974922,
0.05255792289972305,
0.01686561480164528,
-0.005247416440397501,
-0.0430925078690052,
-0.07014654576778412,
0.04278704151511192,
-0.022755708545446396,
-0.010791813023388386,
0.04611113667488098,
0.03657583147287369,
0.014402230270206928,
0.02575644478201866,
0.012304066680371761,
0.0074426862411201,
-0.0290971752256155,
0.05910869687795639,
-0.04837140813469887,
0.1146489679813385,
-0.06011008098721504,
0.01960604637861252,
0.022847512736916542,
-0.056486573070287704,
-0.11494119465351105,
-0.013681366108357906,
0.07843298465013504,
0.05023333430290222,
0.045722655951976776,
0.0046876659616827965,
0.03523600473999977,
0.017629055306315422,
0.07996253669261932,
0.03170419856905937,
0.08040724694728851,
0.00034798606066033244,
0.01635911501944065,
0.019097648561000824,
0.04509695991873741,
-0.02491111308336258,
-0.027804099023342133,
0.06941889226436615,
0.060876913368701935,
0.06093508005142212,
-0.11558720469474792,
-0.0549742691218853,
0.012970714829862118,
0.003381083020940423,
0.05160321667790413,
0.05501259118318558,
-0.0017797995824366808,
-0.03981555625796318,
0.017263107001781464,
0.010238549672067165,
0.042630963027477264,
-0.055376872420310974,
0.025501878932118416,
-0.06543167680501938,
-0.07925508916378021,
-0.031198272481560707,
0.1334785670042038,
0.007532745134085417,
-0.028622571378946304,
0.019921639934182167,
-0.002837464911863208,
-0.012539127841591835,
-0.05169020593166351,
0.04926745593547821,
0.024642104282975197,
0.022302422672510147,
0.035907819867134094,
0.07632499188184738,
-0.09429093450307846,
0.016333607956767082,
-0.006681615486741066,
0.010842457413673401,
0.004793120548129082,
0.08448632806539536,
0.008137624710798264,
0.04311450570821762,
-0.02454700693488121,
-0.04220147058367729,
0.012669708579778671,
0.02466936782002449,
0.07592470943927765,
0.043724123388528824,
-0.05712579935789108,
-0.08780146390199661,
-0.007873130030930042,
-0.007085816934704781,
-0.04013828560709953,
0.03984692692756653,
0.059964876621961594,
0.04624299332499504,
0.019536243751645088,
-0.032563090324401855,
-0.0021919156424701214,
0.027032405138015747,
0.028595641255378723,
1.8049669839128146e-33,
0.057668764144182205,
-0.024381695315241814,
0.02649938501417637,
-0.07201974838972092,
0.07074607163667679,
0.010672962293028831,
-0.029065901413559914,
-0.057059336453676224,
0.01785428076982498,
-0.022654738277196884,
-0.09444503486156464,
0.03672352805733681,
0.020512454211711884,
-0.00988779030740261,
0.08094121515750885,
-0.05081114545464516,
0.07176720350980759,
-0.034991662949323654,
0.02217106893658638,
-0.07220470905303955,
0.0167483352124691,
-0.06623133271932602,
0.015601929277181625,
-0.08535253256559372,
0.017761819064617157,
0.07084517925977707,
0.026467427611351013,
0.0004290651122573763,
0.056189604103565216,
0.007212155964225531,
-0.036608610302209854,
-0.005421465262770653,
-0.06304850429296494,
0.05918978899717331,
-0.0076753851026296616,
-0.03766411542892456,
-0.052758924663066864,
-0.024850305169820786,
-0.08251044899225235,
-0.08928114920854568,
0.08321826159954071,
0.017007486894726753,
-0.0904562696814537,
-0.03957120329141617,
0.047303203493356705,
-0.04951303452253342,
0.015980074182152748,
0.059994179755449295,
-0.03048821911215782,
-0.013913499191403389,
-0.021132901310920715,
0.01869129203259945,
-0.040827490389347076,
-0.0025600355584174395,
-0.07038009911775589,
-0.03705582767724991,
0.005877809599041939,
0.03507356345653534,
-0.04202647879719734,
0.1383569836616516,
0.040478721261024475,
0.03933307155966759,
0.008594944141805172,
0.012933492660522461,
0.04422308877110481,
0.10178221762180328,
0.022252826020121574,
-0.056757643818855286,
0.07978885620832443,
-0.07392504066228867,
0.02717534452676773,
0.06480280309915543,
0.027482956647872925,
-0.07274540513753891,
-0.07464003562927246,
-0.05438210442662239,
0.0051514324732124805,
-0.08099055290222168,
-0.06553994864225388,
-0.034612879157066345,
-0.025729523971676826,
-0.12030704319477081,
0.041380878537893295,
0.018284786492586136,
0.058739665895700455,
-0.1850053369998932,
0.02876541204750538,
-0.013807523064315319,
-0.05097253620624542,
-0.014710772782564163,
0.010097374208271503,
-0.023132631555199623,
0.06774663180112839,
0.00456091808155179,
0.08065555989742279,
-1.5666468918851194e-33,
-0.056228965520858765,
-0.0009189686388708651,
0.09644819051027298,
0.1294412463903427,
0.02489466965198517,
-0.05878537893295288,
-0.03368719294667244,
0.043190162628889084,
-0.04594695195555687,
-0.011165683157742023,
-0.09296199679374695,
-0.02763976901769638,
0.00009631032298784703,
-0.07231321185827255,
0.08363465964794159,
0.024642016738653183,
-0.03833240643143654,
-0.013074525631964207,
-0.036578111350536346,
-0.017666324973106384,
0.02280268631875515,
0.05345742031931877,
-0.002476287540048361,
-0.022364957258105278,
0.07626203447580338,
0.05496520176529884,
0.00983858946710825,
-0.00017994768859352916,
-0.044785529375076294,
0.0036728414706885815,
-0.06101706624031067,
-0.002771245315670967,
-0.07246830314397812,
0.014728792011737823,
0.05532699078321457,
0.007357843220233917,
0.04653284326195717,
-0.012249170802533627,
0.061014823615550995,
0.04044737294316292,
0.10773112624883652,
0.043624524027109146,
-0.05945602431893349,
-0.03371249884366989,
0.06404358148574829,
0.10798448324203491,
-0.11555759608745575,
0.05799799785017967,
-0.032924167811870575,
-0.016565246507525444,
-0.0010851257247850299,
-0.01293126493692398,
-0.034032657742500305,
0.005364429205656052,
0.01938108541071415,
0.022432954981923103,
-0.021813560277223587,
0.08891934901475906,
0.0521189346909523,
-0.026426229625940323,
-0.02835754305124283,
-0.06880537420511246,
0.031462885439395905,
0.08925370126962662,
0.02832024171948433,
0.013805131427943707,
-0.004972726106643677,
-0.12506568431854248,
0.014391500502824783,
0.07603511214256287,
0.03987876698374748,
0.03529197722673416,
-0.04461834952235222,
-0.03861080855131149,
-0.021500686183571815,
-0.0036122521851211786,
0.001323467819020152,
-0.03038201294839382,
-0.02047939971089363,
0.004912170115858316,
-0.0882166400551796,
0.044344767928123474,
0.04222986474633217,
0.03578227013349533,
-0.04345997795462608,
-0.03313348814845085,
-0.019800426438450813,
0.02061993069946766,
0.06595409661531448,
-0.010705666616559029,
-0.026950567960739136,
0.009348693303763866,
-0.02625482901930809,
-0.025814760476350784,
0.01193403359502554,
-4.150404109282135e-8,
-0.02585648186504841,
-0.03103552758693695,
-0.011073056608438492,
0.029537323862314224,
0.17117562890052795,
-0.0027572147082537413,
0.06129303574562073,
0.020471155643463135,
-0.037532705813646317,
0.04948900267481804,
0.07552048563957214,
0.0025781032163649797,
0.04004596546292305,
0.004176335409283638,
-0.025041043758392334,
0.03527408838272095,
-0.015683086588978767,
-0.09547918289899826,
-0.04463176056742668,
-0.05255186930298805,
-0.05092589557170868,
0.050534967333078384,
0.028202207759022713,
0.08933624625205994,
-0.013891294598579407,
-0.15291203558444977,
0.0059991152957081795,
-0.05820034071803093,
-0.00045603213948197663,
-0.030692314729094505,
-0.05051121488213539,
0.02935296669602394,
0.12280002236366272,
0.07414158433675766,
-0.04159962385892868,
0.032679297029972076,
0.0027458015829324722,
0.08025719970464706,
-0.021725865080952644,
0.06274399906396866,
-0.030628032982349396,
0.07161859422922134,
-0.027460284531116486,
-0.021601518616080284,
0.043520160019397736,
-0.059784602373838425,
0.034999530762434006,
0.02313799224793911,
-0.025812910869717598,
-0.056427888572216034,
-0.05247347056865692,
0.016786541789770126,
-0.04935183748602867,
-0.11939338594675064,
0.030991483479738235,
0.019325919449329376,
-0.04953742027282715,
0.03320617228746414,
0.05157186836004257,
0.015411730855703354,
-0.04375040903687477,
0.01163925789296627,
-0.015397462993860245,
-0.11445362865924835
] | null | null | null | null | null | null | null |
[
-0.017640484496951103,
0.008132672868669033,
-0.0008891216712072492,
0.0008736716699786484,
-0.04748445376753807,
-0.04023585468530655,
-0.04410216584801674,
-0.006754138041287661,
0.027066670358181,
0.010981074534356594,
-0.03314938768744469,
0.0414213202893734,
-0.017421750351786613,
-0.03957943245768547,
-0.03689361363649368,
0.0464634969830513,
0.010050694458186626,
0.001756748533807695,
0.01163049042224884,
-0.035796139389276505,
-0.04482773691415787,
-0.017829857766628265,
-0.06931914389133453,
-0.042474281042814255,
0.02645913138985634,
-0.06101301312446594,
-0.007874205708503723,
0.04917168989777565,
0.08122649043798447,
-0.06231950595974922,
0.05255792289972305,
0.01686561480164528,
-0.005247416440397501,
-0.0430925078690052,
-0.07014654576778412,
0.04278704151511192,
-0.022755708545446396,
-0.010791813023388386,
0.04611113667488098,
0.03657583147287369,
0.014402230270206928,
0.02575644478201866,
0.012304066680371761,
0.0074426862411201,
-0.0290971752256155,
0.05910869687795639,
-0.04837140813469887,
0.1146489679813385,
-0.06011008098721504,
0.01960604637861252,
0.022847512736916542,
-0.056486573070287704,
-0.11494119465351105,
-0.013681366108357906,
0.07843298465013504,
0.05023333430290222,
0.045722655951976776,
0.0046876659616827965,
0.03523600473999977,
0.017629055306315422,
0.07996253669261932,
0.03170419856905937,
0.08040724694728851,
0.00034798606066033244,
0.01635911501944065,
0.019097648561000824,
0.04509695991873741,
-0.02491111308336258,
-0.027804099023342133,
0.06941889226436615,
0.060876913368701935,
0.06093508005142212,
-0.11558720469474792,
-0.0549742691218853,
0.012970714829862118,
0.003381083020940423,
0.05160321667790413,
0.05501259118318558,
-0.0017797995824366808,
-0.03981555625796318,
0.017263107001781464,
0.010238549672067165,
0.042630963027477264,
-0.055376872420310974,
0.025501878932118416,
-0.06543167680501938,
-0.07925508916378021,
-0.031198272481560707,
0.1334785670042038,
0.007532745134085417,
-0.028622571378946304,
0.019921639934182167,
-0.002837464911863208,
-0.012539127841591835,
-0.05169020593166351,
0.04926745593547821,
0.024642104282975197,
0.022302422672510147,
0.035907819867134094,
0.07632499188184738,
-0.09429093450307846,
0.016333607956767082,
-0.006681615486741066,
0.010842457413673401,
0.004793120548129082,
0.08448632806539536,
0.008137624710798264,
0.04311450570821762,
-0.02454700693488121,
-0.04220147058367729,
0.012669708579778671,
0.02466936782002449,
0.07592470943927765,
0.043724123388528824,
-0.05712579935789108,
-0.08780146390199661,
-0.007873130030930042,
-0.007085816934704781,
-0.04013828560709953,
0.03984692692756653,
0.059964876621961594,
0.04624299332499504,
0.019536243751645088,
-0.032563090324401855,
-0.0021919156424701214,
0.027032405138015747,
0.028595641255378723,
1.8049669839128146e-33,
0.057668764144182205,
-0.024381695315241814,
0.02649938501417637,
-0.07201974838972092,
0.07074607163667679,
0.010672962293028831,
-0.029065901413559914,
-0.057059336453676224,
0.01785428076982498,
-0.022654738277196884,
-0.09444503486156464,
0.03672352805733681,
0.020512454211711884,
-0.00988779030740261,
0.08094121515750885,
-0.05081114545464516,
0.07176720350980759,
-0.034991662949323654,
0.02217106893658638,
-0.07220470905303955,
0.0167483352124691,
-0.06623133271932602,
0.015601929277181625,
-0.08535253256559372,
0.017761819064617157,
0.07084517925977707,
0.026467427611351013,
0.0004290651122573763,
0.056189604103565216,
0.007212155964225531,
-0.036608610302209854,
-0.005421465262770653,
-0.06304850429296494,
0.05918978899717331,
-0.0076753851026296616,
-0.03766411542892456,
-0.052758924663066864,
-0.024850305169820786,
-0.08251044899225235,
-0.08928114920854568,
0.08321826159954071,
0.017007486894726753,
-0.0904562696814537,
-0.03957120329141617,
0.047303203493356705,
-0.04951303452253342,
0.015980074182152748,
0.059994179755449295,
-0.03048821911215782,
-0.013913499191403389,
-0.021132901310920715,
0.01869129203259945,
-0.040827490389347076,
-0.0025600355584174395,
-0.07038009911775589,
-0.03705582767724991,
0.005877809599041939,
0.03507356345653534,
-0.04202647879719734,
0.1383569836616516,
0.040478721261024475,
0.03933307155966759,
0.008594944141805172,
0.012933492660522461,
0.04422308877110481,
0.10178221762180328,
0.022252826020121574,
-0.056757643818855286,
0.07978885620832443,
-0.07392504066228867,
0.02717534452676773,
0.06480280309915543,
0.027482956647872925,
-0.07274540513753891,
-0.07464003562927246,
-0.05438210442662239,
0.0051514324732124805,
-0.08099055290222168,
-0.06553994864225388,
-0.034612879157066345,
-0.025729523971676826,
-0.12030704319477081,
0.041380878537893295,
0.018284786492586136,
0.058739665895700455,
-0.1850053369998932,
0.02876541204750538,
-0.013807523064315319,
-0.05097253620624542,
-0.014710772782564163,
0.010097374208271503,
-0.023132631555199623,
0.06774663180112839,
0.00456091808155179,
0.08065555989742279,
-1.5666468918851194e-33,
-0.056228965520858765,
-0.0009189686388708651,
0.09644819051027298,
0.1294412463903427,
0.02489466965198517,
-0.05878537893295288,
-0.03368719294667244,
0.043190162628889084,
-0.04594695195555687,
-0.011165683157742023,
-0.09296199679374695,
-0.02763976901769638,
0.00009631032298784703,
-0.07231321185827255,
0.08363465964794159,
0.024642016738653183,
-0.03833240643143654,
-0.013074525631964207,
-0.036578111350536346,
-0.017666324973106384,
0.02280268631875515,
0.05345742031931877,
-0.002476287540048361,
-0.022364957258105278,
0.07626203447580338,
0.05496520176529884,
0.00983858946710825,
-0.00017994768859352916,
-0.044785529375076294,
0.0036728414706885815,
-0.06101706624031067,
-0.002771245315670967,
-0.07246830314397812,
0.014728792011737823,
0.05532699078321457,
0.007357843220233917,
0.04653284326195717,
-0.012249170802533627,
0.061014823615550995,
0.04044737294316292,
0.10773112624883652,
0.043624524027109146,
-0.05945602431893349,
-0.03371249884366989,
0.06404358148574829,
0.10798448324203491,
-0.11555759608745575,
0.05799799785017967,
-0.032924167811870575,
-0.016565246507525444,
-0.0010851257247850299,
-0.01293126493692398,
-0.034032657742500305,
0.005364429205656052,
0.01938108541071415,
0.022432954981923103,
-0.021813560277223587,
0.08891934901475906,
0.0521189346909523,
-0.026426229625940323,
-0.02835754305124283,
-0.06880537420511246,
0.031462885439395905,
0.08925370126962662,
0.02832024171948433,
0.013805131427943707,
-0.004972726106643677,
-0.12506568431854248,
0.014391500502824783,
0.07603511214256287,
0.03987876698374748,
0.03529197722673416,
-0.04461834952235222,
-0.03861080855131149,
-0.021500686183571815,
-0.0036122521851211786,
0.001323467819020152,
-0.03038201294839382,
-0.02047939971089363,
0.004912170115858316,
-0.0882166400551796,
0.044344767928123474,
0.04222986474633217,
0.03578227013349533,
-0.04345997795462608,
-0.03313348814845085,
-0.019800426438450813,
0.02061993069946766,
0.06595409661531448,
-0.010705666616559029,
-0.026950567960739136,
0.009348693303763866,
-0.02625482901930809,
-0.025814760476350784,
0.01193403359502554,
-4.150404109282135e-8,
-0.02585648186504841,
-0.03103552758693695,
-0.011073056608438492,
0.029537323862314224,
0.17117562890052795,
-0.0027572147082537413,
0.06129303574562073,
0.020471155643463135,
-0.037532705813646317,
0.04948900267481804,
0.07552048563957214,
0.0025781032163649797,
0.04004596546292305,
0.004176335409283638,
-0.025041043758392334,
0.03527408838272095,
-0.015683086588978767,
-0.09547918289899826,
-0.04463176056742668,
-0.05255186930298805,
-0.05092589557170868,
0.050534967333078384,
0.028202207759022713,
0.08933624625205994,
-0.013891294598579407,
-0.15291203558444977,
0.0059991152957081795,
-0.05820034071803093,
-0.00045603213948197663,
-0.030692314729094505,
-0.05051121488213539,
0.02935296669602394,
0.12280002236366272,
0.07414158433675766,
-0.04159962385892868,
0.032679297029972076,
0.0027458015829324722,
0.08025719970464706,
-0.021725865080952644,
0.06274399906396866,
-0.030628032982349396,
0.07161859422922134,
-0.027460284531116486,
-0.021601518616080284,
0.043520160019397736,
-0.059784602373838425,
0.034999530762434006,
0.02313799224793911,
-0.025812910869717598,
-0.056427888572216034,
-0.05247347056865692,
0.016786541789770126,
-0.04935183748602867,
-0.11939338594675064,
0.030991483479738235,
0.019325919449329376,
-0.04953742027282715,
0.03320617228746414,
0.05157186836004257,
0.015411730855703354,
-0.04375040903687477,
0.01163925789296627,
-0.015397462993860245,
-0.11445362865924835
] |
1402.2814
|
Eric Voutier
|
Eric Voutier
|
Physics perspectives at JLab with a polarized positron beam
|
Proc. of MENU 2013, XIIIrd International Conference on Meson-Nucleon
Physics and the Structure of the Nucleon, Rome (Italy), September 30 -
October 4, 2013 (To appear in EPJ Web of Conferences)
| null |
10.1051/epjconf/20147308007
| null |
physics.acc-ph hep-ex nucl-ex
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Polarized positron beams are in some respect mandatory complements to
polarized electron beams. The advent of the PEPPo concept for polarized
positron production opens the possibility for the developement at the Jefferson
Laboratory of a continuous polarized positron beam. The benefits of such a beam
for hadronic structure studies are discussed, together with the technical and
technological challenges to face.
|
[
{
"created": "Wed, 12 Feb 2014 13:42:25 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Voutier",
"Eric",
""
]
] |
[
-0.05682675167918205,
0.008741330355405807,
-0.0687539130449295,
-0.008256977424025536,
-0.050675638020038605,
-0.017915403470396996,
-0.01904330402612686,
0.056280482560396194,
-0.04901555925607681,
0.013876535929739475,
0.032489631325006485,
0.060365281999111176,
-0.03306802734732628,
0.04600142687559128,
0.01652216538786888,
0.016674229875206947,
-0.020135954022407532,
-0.011989003047347069,
0.08833464235067368,
0.03749629482626915,
-0.053901176899671555,
-0.1286226212978363,
-0.0001259570854017511,
-0.008608135394752026,
-0.022556331008672714,
0.08219342678785324,
-0.022512003779411316,
-0.02861125022172928,
0.030902450904250145,
-0.054905004799366,
-0.015898611396551132,
0.000012150425391155295,
0.021717838943004608,
0.001850770553573966,
-0.0072119878605008125,
0.0016593321925029159,
0.0411011166870594,
-0.02106444537639618,
-0.047064680606126785,
0.025569038465619087,
0.11170897632837296,
0.07163462042808533,
-0.0038305388297885656,
-0.07050006091594696,
0.07541612535715103,
-0.038585446774959564,
0.07452665269374847,
-0.06997834146022797,
-0.03904291242361069,
-0.10079268366098404,
0.005398114211857319,
0.011410838924348354,
0.04400939866900444,
-0.03320892155170441,
-0.05504816770553589,
0.04837532341480255,
0.02347690984606743,
-0.042061708867549896,
0.02632194757461548,
-0.03451389819383621,
-0.017785662785172462,
0.02427457645535469,
-0.03876076638698578,
-0.04695262387394905,
0.0056489454582333565,
-0.07252437621355057,
-0.051816027611494064,
-0.03453504294157028,
0.024040725082159042,
0.04950106889009476,
0.022963691502809525,
-0.009094666689634323,
-0.023418208584189415,
0.013343773782253265,
0.03769952058792114,
0.07243207842111588,
0.04584559053182602,
-0.016011230647563934,
0.031022831797599792,
0.03999277204275131,
-0.015264573507010937,
-0.024937478825449944,
-0.08418837189674377,
0.10240563750267029,
-0.01446517650038004,
0.06269984692335129,
-0.009981347247958183,
0.01564539223909378,
-0.04676828905940056,
-0.07381564378738403,
0.006721878424286842,
-0.07124154269695282,
-0.04958749935030937,
0.0193630438297987,
-0.024754490703344345,
0.00306524196639657,
0.013066176325082779,
0.005359557457268238,
-0.005968399345874786,
0.006709382403641939,
0.11650200933218002,
-0.0012640783097594976,
-0.03020700253546238,
-0.024164164438843727,
-0.1107085794210434,
0.01493438147008419,
0.02115643583238125,
0.10618803650140762,
0.00520367780700326,
-0.029080355539917946,
0.006542036309838295,
0.014775331132113934,
-0.007989486679434776,
-0.06713388860225677,
-0.03910428285598755,
-0.03105798177421093,
-0.06094227731227875,
-0.027128826826810837,
0.07335067540407181,
0.02135809324681759,
0.007481410168111324,
0.04767826199531555,
-0.012380615808069706,
0.14382730424404144,
0.004765773192048073,
-0.029681237414479256,
-0.01816297322511673,
1.7100177134220905e-33,
0.036943722516298294,
0.05250367894768715,
0.04823599383234978,
-0.043772242963314056,
-0.07881619036197662,
0.07231898605823517,
-0.02867049351334572,
-0.02889910154044628,
0.026239456608891487,
-0.1108413115143776,
0.015631629154086113,
0.044634632766246796,
0.041960250586271286,
-0.040646616369485855,
-0.04593423753976822,
-0.10650010406970978,
0.03588612750172615,
0.05994962528347969,
0.06523208320140839,
0.07550740987062454,
0.035488061606884,
0.010474842973053455,
-0.0315396673977375,
0.008652722463011742,
0.08219464868307114,
-0.029951846227049828,
-0.00769398408010602,
-0.02767006866633892,
-0.13028034567832947,
0.015770211815834045,
0.03284319490194321,
0.1321137547492981,
0.03765503317117691,
0.09076434373855591,
-0.008244452998042107,
-0.02463413029909134,
-0.08926384896039963,
-0.03283557668328285,
0.02984827570617199,
-0.04538040980696678,
0.02182997204363346,
0.043314047157764435,
-0.026579417288303375,
0.05451042205095291,
0.032742056995630264,
-0.039050303399562836,
-0.002558285603299737,
0.07508546859025955,
0.02967435121536255,
0.00014561116404365748,
0.006252266466617584,
0.02419259399175644,
-0.0413060300052166,
0.015209498815238476,
0.018252378329634666,
0.05340864881873131,
0.009572705253958702,
0.008018880151212215,
0.09541256725788116,
-0.02473228983581066,
0.02439245954155922,
0.0798022449016571,
-0.05306829884648323,
-0.05557733774185181,
-0.08733990788459778,
0.027826033532619476,
-0.04125497490167618,
0.025825712829828262,
-0.03380816802382469,
0.04622013866901398,
-0.007616310380399227,
-0.05411728844046593,
-0.028431342914700508,
0.009165898896753788,
0.06117222458124161,
0.013054552488029003,
-0.10397447645664215,
0.08034636080265045,
0.08740431815385818,
-0.034888558089733124,
-0.08240922540426254,
-0.08099503815174103,
-0.0040524727664887905,
-0.03377027437090874,
-0.053596723824739456,
0.03180159255862236,
0.009572695009410381,
0.09633907675743103,
-0.06048339977860451,
0.050533145666122437,
0.06815438717603683,
-0.0212087519466877,
-0.007457232568413019,
0.0384296253323555,
-0.030039384961128235,
-3.483533427623693e-33,
-0.11409800499677658,
-0.03197576105594635,
-0.15457387268543243,
-0.0580652616918087,
-0.0036272602155804634,
-0.008306045085191727,
-0.0758940726518631,
-0.07064444571733475,
-0.02768290601670742,
0.0878400057554245,
0.07302023470401764,
-0.024523107334971428,
-0.05297527462244034,
-0.03885279595851898,
-0.062127724289894104,
0.03570567071437836,
0.01880674995481968,
0.05882829800248146,
0.014832159504294395,
0.03713733330368996,
0.033655598759651184,
-0.009956251829862595,
-0.006533917039632797,
0.028293102979660034,
0.0477183535695076,
0.022639553993940353,
0.08276447653770447,
-0.1251123547554016,
0.05459098517894745,
-0.021050766110420227,
-0.05318422615528107,
0.021720435470342636,
-0.02583296224474907,
0.054809581488370895,
-0.015621250495314598,
-0.022186823189258575,
-0.025353411212563515,
-0.0014733884017914534,
0.08237215131521225,
-0.09620758146047592,
0.022553013637661934,
0.10706716775894165,
0.0760015994310379,
0.006327732466161251,
0.014544399455189705,
0.05008609592914581,
-0.0035695142578333616,
0.022184904664754868,
-0.0028622769750654697,
0.020564481616020203,
-0.0959051176905632,
-0.020285652950406075,
0.12835776805877686,
-0.038463350385427475,
-0.04066653922200203,
-0.07856640964746475,
-0.012797145172953606,
0.0250263549387455,
0.01958053931593895,
-0.04427551105618477,
-0.043991804122924805,
-0.09801282733678818,
0.038851022720336914,
-0.010036072693765163,
-0.032496944069862366,
-0.046840980648994446,
0.0500313937664032,
0.061487216502428055,
-0.0422198548913002,
-0.027075648307800293,
0.017279649153351784,
0.05299587547779083,
0.010385403409600258,
0.022633841261267662,
-0.024058014154434204,
-0.007167595438659191,
0.08986781537532806,
-0.04109909385442734,
0.032213225960731506,
-0.03150005266070366,
-0.016425494104623795,
0.032271139323711395,
-0.03869497776031494,
-0.037040818482637405,
0.05830259248614311,
-0.0033550490625202656,
-0.056535884737968445,
0.04587779566645622,
-0.014015703462064266,
0.07007627934217453,
0.048275504261255264,
-0.01175793819129467,
0.05814904719591141,
-0.08560580015182495,
0.07461468875408173,
-3.557642358487101e-8,
0.04472418129444122,
-0.0586882159113884,
-0.072992704808712,
0.029045138508081436,
-0.03442496433854103,
-0.09142861515283585,
-0.02354472316801548,
-0.011877983808517456,
0.03448738902807236,
-0.02694465033710003,
0.05814706161618233,
-0.035501159727573395,
0.014125264249742031,
-0.025689242407679558,
0.03882725164294243,
0.06602180749177933,
0.04720783233642578,
-0.08042874187231064,
0.04944347217679024,
0.09997709095478058,
-0.05417674779891968,
-0.05157411843538284,
0.0010869152611121535,
0.08961202204227448,
-0.023485280573368073,
0.04950635880231857,
0.049289770424366,
-0.047669701278209686,
-0.044164493680000305,
0.04687134176492691,
-0.00777102867141366,
0.01784336566925049,
-0.06286663562059402,
-0.02496890351176262,
0.07519328594207764,
0.021512122824788094,
-0.041485901921987534,
-0.017943689599633217,
0.018212590366601944,
-0.034751322120428085,
-0.020538054406642914,
0.009306618943810463,
-0.007516488898545504,
0.010126115754246712,
0.029634052887558937,
0.10576878488063812,
-0.06717321276664734,
-0.06007320433855057,
-0.025129759684205055,
-0.018263783305883408,
0.017154265195131302,
0.016801662743091583,
0.013744337484240532,
-0.10108935832977295,
-0.09428335726261139,
0.07948283851146698,
0.0065283095464110374,
-0.07310278713703156,
0.019973628222942352,
-0.07827203720808029,
0.0764942318201065,
0.04800192266702652,
-0.0054534925147891045,
0.03379915654659271
] | null | null | null | null | null | null | null |
[
-0.05682675167918205,
0.008741330355405807,
-0.0687539130449295,
-0.008256977424025536,
-0.050675638020038605,
-0.017915403470396996,
-0.01904330402612686,
0.056280482560396194,
-0.04901555925607681,
0.013876535929739475,
0.032489631325006485,
0.060365281999111176,
-0.03306802734732628,
0.04600142687559128,
0.01652216538786888,
0.016674229875206947,
-0.020135954022407532,
-0.011989003047347069,
0.08833464235067368,
0.03749629482626915,
-0.053901176899671555,
-0.1286226212978363,
-0.0001259570854017511,
-0.008608135394752026,
-0.022556331008672714,
0.08219342678785324,
-0.022512003779411316,
-0.02861125022172928,
0.030902450904250145,
-0.054905004799366,
-0.015898611396551132,
0.000012150425391155295,
0.021717838943004608,
0.001850770553573966,
-0.0072119878605008125,
0.0016593321925029159,
0.0411011166870594,
-0.02106444537639618,
-0.047064680606126785,
0.025569038465619087,
0.11170897632837296,
0.07163462042808533,
-0.0038305388297885656,
-0.07050006091594696,
0.07541612535715103,
-0.038585446774959564,
0.07452665269374847,
-0.06997834146022797,
-0.03904291242361069,
-0.10079268366098404,
0.005398114211857319,
0.011410838924348354,
0.04400939866900444,
-0.03320892155170441,
-0.05504816770553589,
0.04837532341480255,
0.02347690984606743,
-0.042061708867549896,
0.02632194757461548,
-0.03451389819383621,
-0.017785662785172462,
0.02427457645535469,
-0.03876076638698578,
-0.04695262387394905,
0.0056489454582333565,
-0.07252437621355057,
-0.051816027611494064,
-0.03453504294157028,
0.024040725082159042,
0.04950106889009476,
0.022963691502809525,
-0.009094666689634323,
-0.023418208584189415,
0.013343773782253265,
0.03769952058792114,
0.07243207842111588,
0.04584559053182602,
-0.016011230647563934,
0.031022831797599792,
0.03999277204275131,
-0.015264573507010937,
-0.024937478825449944,
-0.08418837189674377,
0.10240563750267029,
-0.01446517650038004,
0.06269984692335129,
-0.009981347247958183,
0.01564539223909378,
-0.04676828905940056,
-0.07381564378738403,
0.006721878424286842,
-0.07124154269695282,
-0.04958749935030937,
0.0193630438297987,
-0.024754490703344345,
0.00306524196639657,
0.013066176325082779,
0.005359557457268238,
-0.005968399345874786,
0.006709382403641939,
0.11650200933218002,
-0.0012640783097594976,
-0.03020700253546238,
-0.024164164438843727,
-0.1107085794210434,
0.01493438147008419,
0.02115643583238125,
0.10618803650140762,
0.00520367780700326,
-0.029080355539917946,
0.006542036309838295,
0.014775331132113934,
-0.007989486679434776,
-0.06713388860225677,
-0.03910428285598755,
-0.03105798177421093,
-0.06094227731227875,
-0.027128826826810837,
0.07335067540407181,
0.02135809324681759,
0.007481410168111324,
0.04767826199531555,
-0.012380615808069706,
0.14382730424404144,
0.004765773192048073,
-0.029681237414479256,
-0.01816297322511673,
1.7100177134220905e-33,
0.036943722516298294,
0.05250367894768715,
0.04823599383234978,
-0.043772242963314056,
-0.07881619036197662,
0.07231898605823517,
-0.02867049351334572,
-0.02889910154044628,
0.026239456608891487,
-0.1108413115143776,
0.015631629154086113,
0.044634632766246796,
0.041960250586271286,
-0.040646616369485855,
-0.04593423753976822,
-0.10650010406970978,
0.03588612750172615,
0.05994962528347969,
0.06523208320140839,
0.07550740987062454,
0.035488061606884,
0.010474842973053455,
-0.0315396673977375,
0.008652722463011742,
0.08219464868307114,
-0.029951846227049828,
-0.00769398408010602,
-0.02767006866633892,
-0.13028034567832947,
0.015770211815834045,
0.03284319490194321,
0.1321137547492981,
0.03765503317117691,
0.09076434373855591,
-0.008244452998042107,
-0.02463413029909134,
-0.08926384896039963,
-0.03283557668328285,
0.02984827570617199,
-0.04538040980696678,
0.02182997204363346,
0.043314047157764435,
-0.026579417288303375,
0.05451042205095291,
0.032742056995630264,
-0.039050303399562836,
-0.002558285603299737,
0.07508546859025955,
0.02967435121536255,
0.00014561116404365748,
0.006252266466617584,
0.02419259399175644,
-0.0413060300052166,
0.015209498815238476,
0.018252378329634666,
0.05340864881873131,
0.009572705253958702,
0.008018880151212215,
0.09541256725788116,
-0.02473228983581066,
0.02439245954155922,
0.0798022449016571,
-0.05306829884648323,
-0.05557733774185181,
-0.08733990788459778,
0.027826033532619476,
-0.04125497490167618,
0.025825712829828262,
-0.03380816802382469,
0.04622013866901398,
-0.007616310380399227,
-0.05411728844046593,
-0.028431342914700508,
0.009165898896753788,
0.06117222458124161,
0.013054552488029003,
-0.10397447645664215,
0.08034636080265045,
0.08740431815385818,
-0.034888558089733124,
-0.08240922540426254,
-0.08099503815174103,
-0.0040524727664887905,
-0.03377027437090874,
-0.053596723824739456,
0.03180159255862236,
0.009572695009410381,
0.09633907675743103,
-0.06048339977860451,
0.050533145666122437,
0.06815438717603683,
-0.0212087519466877,
-0.007457232568413019,
0.0384296253323555,
-0.030039384961128235,
-3.483533427623693e-33,
-0.11409800499677658,
-0.03197576105594635,
-0.15457387268543243,
-0.0580652616918087,
-0.0036272602155804634,
-0.008306045085191727,
-0.0758940726518631,
-0.07064444571733475,
-0.02768290601670742,
0.0878400057554245,
0.07302023470401764,
-0.024523107334971428,
-0.05297527462244034,
-0.03885279595851898,
-0.062127724289894104,
0.03570567071437836,
0.01880674995481968,
0.05882829800248146,
0.014832159504294395,
0.03713733330368996,
0.033655598759651184,
-0.009956251829862595,
-0.006533917039632797,
0.028293102979660034,
0.0477183535695076,
0.022639553993940353,
0.08276447653770447,
-0.1251123547554016,
0.05459098517894745,
-0.021050766110420227,
-0.05318422615528107,
0.021720435470342636,
-0.02583296224474907,
0.054809581488370895,
-0.015621250495314598,
-0.022186823189258575,
-0.025353411212563515,
-0.0014733884017914534,
0.08237215131521225,
-0.09620758146047592,
0.022553013637661934,
0.10706716775894165,
0.0760015994310379,
0.006327732466161251,
0.014544399455189705,
0.05008609592914581,
-0.0035695142578333616,
0.022184904664754868,
-0.0028622769750654697,
0.020564481616020203,
-0.0959051176905632,
-0.020285652950406075,
0.12835776805877686,
-0.038463350385427475,
-0.04066653922200203,
-0.07856640964746475,
-0.012797145172953606,
0.0250263549387455,
0.01958053931593895,
-0.04427551105618477,
-0.043991804122924805,
-0.09801282733678818,
0.038851022720336914,
-0.010036072693765163,
-0.032496944069862366,
-0.046840980648994446,
0.0500313937664032,
0.061487216502428055,
-0.0422198548913002,
-0.027075648307800293,
0.017279649153351784,
0.05299587547779083,
0.010385403409600258,
0.022633841261267662,
-0.024058014154434204,
-0.007167595438659191,
0.08986781537532806,
-0.04109909385442734,
0.032213225960731506,
-0.03150005266070366,
-0.016425494104623795,
0.032271139323711395,
-0.03869497776031494,
-0.037040818482637405,
0.05830259248614311,
-0.0033550490625202656,
-0.056535884737968445,
0.04587779566645622,
-0.014015703462064266,
0.07007627934217453,
0.048275504261255264,
-0.01175793819129467,
0.05814904719591141,
-0.08560580015182495,
0.07461468875408173,
-3.557642358487101e-8,
0.04472418129444122,
-0.0586882159113884,
-0.072992704808712,
0.029045138508081436,
-0.03442496433854103,
-0.09142861515283585,
-0.02354472316801548,
-0.011877983808517456,
0.03448738902807236,
-0.02694465033710003,
0.05814706161618233,
-0.035501159727573395,
0.014125264249742031,
-0.025689242407679558,
0.03882725164294243,
0.06602180749177933,
0.04720783233642578,
-0.08042874187231064,
0.04944347217679024,
0.09997709095478058,
-0.05417674779891968,
-0.05157411843538284,
0.0010869152611121535,
0.08961202204227448,
-0.023485280573368073,
0.04950635880231857,
0.049289770424366,
-0.047669701278209686,
-0.044164493680000305,
0.04687134176492691,
-0.00777102867141366,
0.01784336566925049,
-0.06286663562059402,
-0.02496890351176262,
0.07519328594207764,
0.021512122824788094,
-0.041485901921987534,
-0.017943689599633217,
0.018212590366601944,
-0.034751322120428085,
-0.020538054406642914,
0.009306618943810463,
-0.007516488898545504,
0.010126115754246712,
0.029634052887558937,
0.10576878488063812,
-0.06717321276664734,
-0.06007320433855057,
-0.025129759684205055,
-0.018263783305883408,
0.017154265195131302,
0.016801662743091583,
0.013744337484240532,
-0.10108935832977295,
-0.09428335726261139,
0.07948283851146698,
0.0065283095464110374,
-0.07310278713703156,
0.019973628222942352,
-0.07827203720808029,
0.0764942318201065,
0.04800192266702652,
-0.0054534925147891045,
0.03379915654659271
] |
1402.2819
|
Luca Tubiana Ph.D.
|
Luca Tubiana
|
On the factorization of composite polymer knots into separated prime
components
|
13 pages, 11 Figures
| null |
10.1103/PhysRevE.89.052602
| null |
cond-mat.stat-mech physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using Monte Carlo simulations and advanced knot localization methods, we
analyze the length and distribution of prime components in composite knots tied
on Freely Jointed Rings (FJRs). For increasing contour length, we observe the
progressive factorization of composite knots into separated prime components.
However, we observe that a complete factorization, equivalent to the "decorated
ring" picture, is not obtained even for rings of contour lengths $N\simeq
3N_0$, about tens of times the most probable length of the prime knots tied on
the rings. The decorated ring hypothesis has been used in literature to justify
the factorization of composite knots probabilities into the knotting
probabilities of their prime components. Following our results, we suggest that
such hypothesis may not be necessary to explain the factorization of the
knotting probabilities, at least when polymers excluded volume is not relevant.
We rationalize the behavior of the system through a simple one dimensional
model in which prime knots are replaced by sliplinks randomly placed on a
circle, with the only constraint that the length of the loops has the same
distribution of the length of the corresponding prime knots.
|
[
{
"created": "Wed, 12 Feb 2014 13:49:31 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Tubiana",
"Luca",
""
]
] |
[
0.01849622279405594,
-0.05410367622971535,
-0.001953479368239641,
0.002176534151658416,
0.06870908290147781,
-0.06712348759174347,
0.012200267054140568,
0.06290904432535172,
0.05415717512369156,
-0.027580376714468002,
0.01787019707262516,
0.08770439028739929,
0.03881724923849106,
0.0338086299598217,
-0.07458193600177765,
-0.01355223823338747,
-0.04708462581038475,
0.0583447627723217,
-0.10873889923095703,
0.11579836159944534,
-0.05256824567914009,
-0.037400465458631516,
0.04866906628012657,
-0.034208521246910095,
0.053422391414642334,
-0.05885621905326843,
0.04636980593204498,
-0.03024803102016449,
0.004671599715948105,
-0.05354990065097809,
0.027831872925162315,
0.03211076930165291,
-0.05451555177569389,
-0.018191233277320862,
0.08313542604446411,
-0.004205247387290001,
-0.04511372745037079,
0.03985661268234253,
0.005829280707985163,
0.0673142746090889,
0.10616102814674377,
0.022321561351418495,
0.06300902366638184,
-0.06222710758447647,
0.04879915341734886,
0.027405358850955963,
-0.008473514579236507,
0.02895076759159565,
-0.10542526096105576,
0.02479792945086956,
-0.023865386843681335,
0.039272285997867584,
-0.0701638013124466,
0.01803554780781269,
0.005541400518268347,
0.017445504665374756,
0.018321111798286438,
-0.04833393543958664,
-0.06974958628416061,
0.0017111321212723851,
0.03481367230415344,
-0.008265268057584763,
-0.07405409216880798,
0.011219119653105736,
0.022605180740356445,
-0.010578127577900887,
0.07381905615329742,
0.08127107471227646,
-0.018288427963852882,
0.02364836074411869,
-0.0644037127494812,
0.10393190383911133,
-0.06318757683038712,
0.054405130445957184,
0.061483610421419144,
0.04192264750599861,
-0.05813073739409447,
0.00710276560857892,
-0.10628776252269745,
-0.03988693282008171,
-0.020409272983670235,
-0.024109015241265297,
0.09684498608112335,
-0.057425811886787415,
0.0017567073227837682,
0.11433445662260056,
-0.017378248274326324,
0.025614047423005104,
-0.031887851655483246,
-0.017000552266836166,
0.04248185083270073,
0.0021351054310798645,
-0.052891023457050323,
-0.045721862465143204,
0.03326835855841637,
0.0344151146709919,
0.053666748106479645,
-0.00489333039149642,
0.02543415129184723,
0.019124360755085945,
0.08194451034069061,
-0.10359414666891098,
0.06821849197149277,
-0.03461147099733353,
0.037664178758859634,
0.004631137475371361,
-0.0293967816978693,
0.028291231021285057,
0.03406785428524017,
0.017389744520187378,
0.03937820345163345,
-0.028693079948425293,
0.06249748915433884,
-0.04839399829506874,
-0.08440928906202316,
-0.05301298573613167,
0.016371047124266624,
0.0706966370344162,
0.08311189711093903,
-0.013945884071290493,
0.044827718287706375,
0.05696266144514084,
-0.022427085787057877,
-0.002315632300451398,
-0.08664616197347641,
-0.0051056621596217155,
-0.05294177681207657,
3.0273541921123032e-33,
0.04677823930978775,
0.02706483006477356,
0.06802528351545334,
-0.01988741010427475,
0.005449892953038216,
0.010695449076592922,
-0.05722943693399429,
-0.05989382416009903,
0.06445515900850296,
0.014238198287785053,
-0.041253041476011276,
0.03764299303293228,
-0.0011754127917811275,
-0.06432142853736877,
0.024824880063533783,
-0.013036387972533703,
0.05036649480462074,
0.04290751740336418,
-0.044581152498722076,
0.010957586579024792,
-0.04451574385166168,
0.027320966124534607,
0.044368766248226166,
-0.03162621334195137,
-0.0076353903859853745,
0.01021511573344469,
0.009001955389976501,
-0.02788480371236801,
-0.018618443980813026,
0.0033865896984934807,
-0.05089830979704857,
0.062067318707704544,
-0.03531552106142044,
0.08502931892871857,
0.020166756585240364,
0.01684264838695526,
0.007983151823282242,
-0.03272741660475731,
-0.11881645023822784,
0.009252458810806274,
0.01664852350950241,
-0.05917363241314888,
0.04462664946913719,
-0.010864240117371082,
-0.025490928441286087,
-0.08119544386863708,
0.10871178656816483,
0.04073121026158333,
-0.13506264984607697,
0.03934321179986,
0.06649632006883621,
0.04608870670199394,
0.08357317745685577,
-0.038358040153980255,
-0.011664645746350288,
-0.01492832787334919,
-0.04449300095438957,
-0.07003626972436905,
-0.02277197875082493,
0.03363547474145889,
-0.03959832340478897,
0.025561247020959854,
-0.0625315010547638,
-0.0076276035979390144,
-0.05377352237701416,
0.09711211174726486,
-0.0008182895253412426,
0.030641112476587296,
0.09206388145685196,
0.02749899961054325,
-0.009623941965401173,
0.04834425821900368,
-0.004381590057164431,
0.031334761530160904,
-0.01947588473558426,
0.01566057652235031,
-0.13092173635959625,
-0.04762999713420868,
0.05455731973052025,
-0.02973960153758526,
-0.08248290419578552,
0.011281445622444153,
-0.06324124336242676,
-0.012401062063872814,
-0.016340773552656174,
-0.03748916834592819,
0.042733315378427505,
0.018865743651986122,
-0.07801681011915207,
-0.0706406757235527,
0.0818789005279541,
-0.056130558252334595,
0.0897933766245842,
-0.006477505434304476,
0.029744423925876617,
-4.042294381711498e-33,
0.006369667127728462,
-0.033485863357782364,
0.08126270771026611,
0.1054023802280426,
0.013663209974765778,
-0.0638711154460907,
-0.03657403215765953,
-0.014975560829043388,
-0.024301735684275627,
-0.11874057352542877,
0.04639820754528046,
0.029119133949279785,
0.01784287393093109,
-0.007841208018362522,
0.06398170441389084,
-0.04081406444311142,
-0.05229512229561806,
0.03927535563707352,
0.025977151468396187,
-0.011064483784139156,
0.08022107183933258,
-0.07169218361377716,
-0.005355257075279951,
-0.011267533525824547,
-0.11895640194416046,
0.018493104726076126,
-0.010033827275037766,
-0.13095808029174805,
-0.019596297293901443,
0.05477163568139076,
-0.007440951652824879,
-0.04666832834482193,
-0.09568874537944794,
-0.011201133951544762,
-0.09139413386583328,
0.03942737355828285,
-0.0016430910909548402,
0.0301272701472044,
0.0461607463657856,
-0.06323166936635971,
0.0196072980761528,
-0.04706928879022598,
0.02478526160120964,
0.0017044015694409609,
0.05812199041247368,
-0.026163747534155846,
-0.04114818945527077,
0.03511664643883705,
0.017940960824489594,
0.009140499867498875,
-0.024409255012869835,
0.07742707431316376,
0.017267171293497086,
-0.09568274766206741,
-0.05533120036125183,
0.034275807440280914,
-0.10289976000785828,
0.023352645337581635,
0.04218968749046326,
0.07029804587364197,
-0.09600219130516052,
-0.041498489677906036,
0.03824164718389511,
0.014972912147641182,
0.009738347493112087,
-0.018481871113181114,
0.007100700866430998,
-0.05775501951575279,
-0.058921873569488525,
-0.0048738447949290276,
0.06485418230295181,
0.08935798704624176,
-0.039680708199739456,
-0.0007058847695589066,
0.04700765758752823,
0.0024675996974110603,
0.011411617510020733,
-0.0027344932314008474,
0.05538708344101906,
0.02874600701034069,
0.0022353269159793854,
-0.03746224194765091,
-0.01926996186375618,
-0.0680118054151535,
0.014283406548202038,
-0.04449333995580673,
0.03450716286897659,
-0.0614173524081707,
-0.0018676386680454016,
-0.04510025307536125,
0.026783959940075874,
0.050705425441265106,
0.07255495339632034,
0.10670638829469681,
-0.029695643112063408,
-4.5074674659417724e-8,
0.05938464775681496,
0.08330054581165314,
-0.09396208077669144,
-0.021772222593426704,
0.0414932481944561,
0.06350526958703995,
0.03633154183626175,
0.06344910711050034,
-0.007397150155156851,
-0.02319253422319889,
0.10713773220777512,
-0.0021635962184518576,
-0.09644478559494019,
0.04100800305604935,
0.025135444477200508,
0.0263818446546793,
-0.02466321364045143,
-0.004857873078435659,
-0.05067015811800957,
-0.07980257272720337,
0.06498714536428452,
0.06079525500535965,
-0.0020438614301383495,
0.01725129969418049,
-0.07225263118743896,
-0.0830177590250969,
-0.04515964165329933,
0.055041033774614334,
0.049703363329172134,
0.000996846822090447,
0.005608194507658482,
-0.04800615832209587,
-0.024553272873163223,
0.044149819761514664,
-0.025165442377328873,
0.013668393716216087,
-0.02625279687345028,
-0.011287469416856766,
0.045915715396404266,
0.0338258296251297,
0.023909028619527817,
-0.037147484719753265,
-0.02420763112604618,
-0.015041978098452091,
0.06775961816310883,
-0.0008249552338384092,
0.05252403765916824,
0.014406595379114151,
-0.09078605473041534,
0.044129401445388794,
-0.038617055863142014,
-0.007529326248914003,
0.009443100541830063,
-0.08048053085803986,
0.058330386877059937,
0.049818962812423706,
0.0598457008600235,
0.04760216921567917,
-0.04877910763025284,
0.006332770921289921,
-0.12811893224716187,
-0.027843661606311798,
-0.02925247885286808,
0.015015453100204468
] | null | null | null | null | null | null | null |
[
0.01849622279405594,
-0.05410367622971535,
-0.001953479368239641,
0.002176534151658416,
0.06870908290147781,
-0.06712348759174347,
0.012200267054140568,
0.06290904432535172,
0.05415717512369156,
-0.027580376714468002,
0.01787019707262516,
0.08770439028739929,
0.03881724923849106,
0.0338086299598217,
-0.07458193600177765,
-0.01355223823338747,
-0.04708462581038475,
0.0583447627723217,
-0.10873889923095703,
0.11579836159944534,
-0.05256824567914009,
-0.037400465458631516,
0.04866906628012657,
-0.034208521246910095,
0.053422391414642334,
-0.05885621905326843,
0.04636980593204498,
-0.03024803102016449,
0.004671599715948105,
-0.05354990065097809,
0.027831872925162315,
0.03211076930165291,
-0.05451555177569389,
-0.018191233277320862,
0.08313542604446411,
-0.004205247387290001,
-0.04511372745037079,
0.03985661268234253,
0.005829280707985163,
0.0673142746090889,
0.10616102814674377,
0.022321561351418495,
0.06300902366638184,
-0.06222710758447647,
0.04879915341734886,
0.027405358850955963,
-0.008473514579236507,
0.02895076759159565,
-0.10542526096105576,
0.02479792945086956,
-0.023865386843681335,
0.039272285997867584,
-0.0701638013124466,
0.01803554780781269,
0.005541400518268347,
0.017445504665374756,
0.018321111798286438,
-0.04833393543958664,
-0.06974958628416061,
0.0017111321212723851,
0.03481367230415344,
-0.008265268057584763,
-0.07405409216880798,
0.011219119653105736,
0.022605180740356445,
-0.010578127577900887,
0.07381905615329742,
0.08127107471227646,
-0.018288427963852882,
0.02364836074411869,
-0.0644037127494812,
0.10393190383911133,
-0.06318757683038712,
0.054405130445957184,
0.061483610421419144,
0.04192264750599861,
-0.05813073739409447,
0.00710276560857892,
-0.10628776252269745,
-0.03988693282008171,
-0.020409272983670235,
-0.024109015241265297,
0.09684498608112335,
-0.057425811886787415,
0.0017567073227837682,
0.11433445662260056,
-0.017378248274326324,
0.025614047423005104,
-0.031887851655483246,
-0.017000552266836166,
0.04248185083270073,
0.0021351054310798645,
-0.052891023457050323,
-0.045721862465143204,
0.03326835855841637,
0.0344151146709919,
0.053666748106479645,
-0.00489333039149642,
0.02543415129184723,
0.019124360755085945,
0.08194451034069061,
-0.10359414666891098,
0.06821849197149277,
-0.03461147099733353,
0.037664178758859634,
0.004631137475371361,
-0.0293967816978693,
0.028291231021285057,
0.03406785428524017,
0.017389744520187378,
0.03937820345163345,
-0.028693079948425293,
0.06249748915433884,
-0.04839399829506874,
-0.08440928906202316,
-0.05301298573613167,
0.016371047124266624,
0.0706966370344162,
0.08311189711093903,
-0.013945884071290493,
0.044827718287706375,
0.05696266144514084,
-0.022427085787057877,
-0.002315632300451398,
-0.08664616197347641,
-0.0051056621596217155,
-0.05294177681207657,
3.0273541921123032e-33,
0.04677823930978775,
0.02706483006477356,
0.06802528351545334,
-0.01988741010427475,
0.005449892953038216,
0.010695449076592922,
-0.05722943693399429,
-0.05989382416009903,
0.06445515900850296,
0.014238198287785053,
-0.041253041476011276,
0.03764299303293228,
-0.0011754127917811275,
-0.06432142853736877,
0.024824880063533783,
-0.013036387972533703,
0.05036649480462074,
0.04290751740336418,
-0.044581152498722076,
0.010957586579024792,
-0.04451574385166168,
0.027320966124534607,
0.044368766248226166,
-0.03162621334195137,
-0.0076353903859853745,
0.01021511573344469,
0.009001955389976501,
-0.02788480371236801,
-0.018618443980813026,
0.0033865896984934807,
-0.05089830979704857,
0.062067318707704544,
-0.03531552106142044,
0.08502931892871857,
0.020166756585240364,
0.01684264838695526,
0.007983151823282242,
-0.03272741660475731,
-0.11881645023822784,
0.009252458810806274,
0.01664852350950241,
-0.05917363241314888,
0.04462664946913719,
-0.010864240117371082,
-0.025490928441286087,
-0.08119544386863708,
0.10871178656816483,
0.04073121026158333,
-0.13506264984607697,
0.03934321179986,
0.06649632006883621,
0.04608870670199394,
0.08357317745685577,
-0.038358040153980255,
-0.011664645746350288,
-0.01492832787334919,
-0.04449300095438957,
-0.07003626972436905,
-0.02277197875082493,
0.03363547474145889,
-0.03959832340478897,
0.025561247020959854,
-0.0625315010547638,
-0.0076276035979390144,
-0.05377352237701416,
0.09711211174726486,
-0.0008182895253412426,
0.030641112476587296,
0.09206388145685196,
0.02749899961054325,
-0.009623941965401173,
0.04834425821900368,
-0.004381590057164431,
0.031334761530160904,
-0.01947588473558426,
0.01566057652235031,
-0.13092173635959625,
-0.04762999713420868,
0.05455731973052025,
-0.02973960153758526,
-0.08248290419578552,
0.011281445622444153,
-0.06324124336242676,
-0.012401062063872814,
-0.016340773552656174,
-0.03748916834592819,
0.042733315378427505,
0.018865743651986122,
-0.07801681011915207,
-0.0706406757235527,
0.0818789005279541,
-0.056130558252334595,
0.0897933766245842,
-0.006477505434304476,
0.029744423925876617,
-4.042294381711498e-33,
0.006369667127728462,
-0.033485863357782364,
0.08126270771026611,
0.1054023802280426,
0.013663209974765778,
-0.0638711154460907,
-0.03657403215765953,
-0.014975560829043388,
-0.024301735684275627,
-0.11874057352542877,
0.04639820754528046,
0.029119133949279785,
0.01784287393093109,
-0.007841208018362522,
0.06398170441389084,
-0.04081406444311142,
-0.05229512229561806,
0.03927535563707352,
0.025977151468396187,
-0.011064483784139156,
0.08022107183933258,
-0.07169218361377716,
-0.005355257075279951,
-0.011267533525824547,
-0.11895640194416046,
0.018493104726076126,
-0.010033827275037766,
-0.13095808029174805,
-0.019596297293901443,
0.05477163568139076,
-0.007440951652824879,
-0.04666832834482193,
-0.09568874537944794,
-0.011201133951544762,
-0.09139413386583328,
0.03942737355828285,
-0.0016430910909548402,
0.0301272701472044,
0.0461607463657856,
-0.06323166936635971,
0.0196072980761528,
-0.04706928879022598,
0.02478526160120964,
0.0017044015694409609,
0.05812199041247368,
-0.026163747534155846,
-0.04114818945527077,
0.03511664643883705,
0.017940960824489594,
0.009140499867498875,
-0.024409255012869835,
0.07742707431316376,
0.017267171293497086,
-0.09568274766206741,
-0.05533120036125183,
0.034275807440280914,
-0.10289976000785828,
0.023352645337581635,
0.04218968749046326,
0.07029804587364197,
-0.09600219130516052,
-0.041498489677906036,
0.03824164718389511,
0.014972912147641182,
0.009738347493112087,
-0.018481871113181114,
0.007100700866430998,
-0.05775501951575279,
-0.058921873569488525,
-0.0048738447949290276,
0.06485418230295181,
0.08935798704624176,
-0.039680708199739456,
-0.0007058847695589066,
0.04700765758752823,
0.0024675996974110603,
0.011411617510020733,
-0.0027344932314008474,
0.05538708344101906,
0.02874600701034069,
0.0022353269159793854,
-0.03746224194765091,
-0.01926996186375618,
-0.0680118054151535,
0.014283406548202038,
-0.04449333995580673,
0.03450716286897659,
-0.0614173524081707,
-0.0018676386680454016,
-0.04510025307536125,
0.026783959940075874,
0.050705425441265106,
0.07255495339632034,
0.10670638829469681,
-0.029695643112063408,
-4.5074674659417724e-8,
0.05938464775681496,
0.08330054581165314,
-0.09396208077669144,
-0.021772222593426704,
0.0414932481944561,
0.06350526958703995,
0.03633154183626175,
0.06344910711050034,
-0.007397150155156851,
-0.02319253422319889,
0.10713773220777512,
-0.0021635962184518576,
-0.09644478559494019,
0.04100800305604935,
0.025135444477200508,
0.0263818446546793,
-0.02466321364045143,
-0.004857873078435659,
-0.05067015811800957,
-0.07980257272720337,
0.06498714536428452,
0.06079525500535965,
-0.0020438614301383495,
0.01725129969418049,
-0.07225263118743896,
-0.0830177590250969,
-0.04515964165329933,
0.055041033774614334,
0.049703363329172134,
0.000996846822090447,
0.005608194507658482,
-0.04800615832209587,
-0.024553272873163223,
0.044149819761514664,
-0.025165442377328873,
0.013668393716216087,
-0.02625279687345028,
-0.011287469416856766,
0.045915715396404266,
0.0338258296251297,
0.023909028619527817,
-0.037147484719753265,
-0.02420763112604618,
-0.015041978098452091,
0.06775961816310883,
-0.0008249552338384092,
0.05252403765916824,
0.014406595379114151,
-0.09078605473041534,
0.044129401445388794,
-0.038617055863142014,
-0.007529326248914003,
0.009443100541830063,
-0.08048053085803986,
0.058330386877059937,
0.049818962812423706,
0.0598457008600235,
0.04760216921567917,
-0.04877910763025284,
0.006332770921289921,
-0.12811893224716187,
-0.027843661606311798,
-0.02925247885286808,
0.015015453100204468
] |
1402.2826
|
Aniket Bera
|
Aniket Bera and Dinesh Manocha
|
Realtime Multilevel Crowd Tracking using Reciprocal Velocity Obstacles
| null | null | null | null |
cs.CV
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a novel, realtime algorithm to compute the trajectory of each
pedestrian in moderately dense crowd scenes. Our formulation is based on an
adaptive particle filtering scheme that uses a multi-agent motion model based
on velocity-obstacles, and takes into account local interactions as well as
physical and personal constraints of each pedestrian. Our method dynamically
changes the number of particles allocated to each pedestrian based on different
confidence metrics. Additionally, we use a new high-definition crowd video
dataset, which is used to evaluate the performance of different pedestrian
tracking algorithms. This dataset consists of videos of indoor and outdoor
scenes, recorded at different locations with 30-80 pedestrians. We highlight
the performance benefits of our algorithm over prior techniques using this
dataset. In practice, our algorithm can compute trajectories of tens of
pedestrians on a multi-core desktop CPU at interactive rates (27-30 frames per
second). To the best of our knowledge, our approach is 4-5 times faster than
prior methods, which provide similar accuracy.
|
[
{
"created": "Tue, 11 Feb 2014 15:49:53 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Bera",
"Aniket",
""
],
[
"Manocha",
"Dinesh",
""
]
] |
[
0.0039305672980844975,
-0.12726730108261108,
-0.015183517709374428,
0.01305351871997118,
0.09726553410291672,
0.023372335359454155,
0.0162339024245739,
-0.018791915848851204,
-0.027396956458687782,
-0.07564639300107956,
0.044810447841882706,
-0.07865741103887558,
-0.07266929000616074,
0.03684767335653305,
-0.003787656081840396,
-0.057856738567352295,
0.14892497658729553,
0.07296045869588852,
-0.09095541387796402,
-0.0012812985805794597,
-0.06711116433143616,
-0.011737383902072906,
0.03682449460029602,
0.0349365770816803,
0.010537128895521164,
-0.04028922691941261,
0.04084685444831848,
-0.06897642463445663,
0.007434483617544174,
-0.0003333704953547567,
0.113496795296669,
-0.019141845405101776,
-0.0012285355478525162,
-0.010476738214492798,
-0.0684669092297554,
-0.026063943281769753,
-0.016843508929014206,
0.021101873368024826,
-0.0014546610182151198,
0.024358535185456276,
-0.04102737829089165,
0.017689263448119164,
0.014548768289387226,
0.007441086228936911,
0.0858466625213623,
0.04994327202439308,
0.03733612224459648,
-0.03153105452656746,
0.09897766262292862,
-0.001891315565444529,
-0.033110495656728745,
0.008168746717274189,
0.03328492492437363,
0.06592779606580734,
-0.08618885278701782,
-0.048599474132061005,
-0.038384247571229935,
-0.036961473524570465,
0.07884595543146133,
-0.04366790130734444,
0.000102614751085639,
-0.08313769102096558,
0.061208032071590424,
0.01402205228805542,
-0.026568256318569183,
-0.03480464592576027,
0.014698240906000137,
0.027870405465364456,
0.16719764471054077,
0.05885213613510132,
-0.024644022807478905,
0.09736888110637665,
0.02013404108583927,
0.03196896240115166,
-0.033158548176288605,
-0.03665569797158241,
-0.04210565611720085,
-0.026370558887720108,
0.032155122607946396,
-0.037236567586660385,
0.045777518302202225,
-0.11475732922554016,
0.03332914784550667,
0.009852025657892227,
0.07981730997562408,
0.05117034539580345,
-0.04041823744773865,
0.07825097441673279,
-0.037070777267217636,
-0.033904895186424255,
-0.11287086457014084,
0.03119577467441559,
0.07148227095603943,
-0.05328638106584549,
-0.049239035695791245,
-0.020890390500426292,
-0.08364894241094589,
-0.050162337720394135,
0.050613682717084885,
0.07349905371665955,
-0.044083867222070694,
-0.025761818513274193,
0.02051745541393757,
0.09098514169454575,
0.04584575816988945,
-0.0014735991135239601,
0.052657950669527054,
0.04310828074812889,
0.009785987436771393,
0.06386849284172058,
0.07729964703321457,
-0.03472680598497391,
0.008339708670973778,
0.02419094182550907,
0.0689486637711525,
0.012309987097978592,
0.014405162073671818,
-0.01685005985200405,
-0.022298604249954224,
0.04526183754205704,
0.003775322576984763,
-0.01065431721508503,
0.018507955595850945,
-0.008026128634810448,
0.058614589273929596,
-0.02845618687570095,
-0.003675253363326192,
-4.1055655488155e-34,
-0.003069527680054307,
0.02035914920270443,
0.08634747564792633,
-0.017727086320519447,
-0.01745317131280899,
0.0042192526161670685,
-0.025753125548362732,
-0.06298705190420151,
-0.016364526003599167,
0.02346174418926239,
0.023493178188800812,
-0.08178771287202835,
-0.011782265268266201,
0.022655008360743523,
0.047197241336107254,
-0.051444996148347855,
-0.029828116297721863,
0.014265451580286026,
-0.01641269586980343,
0.12555091083049774,
0.020377112552523613,
-0.07194322347640991,
-0.1061311885714531,
-0.012357175350189209,
-0.013002392835915089,
0.05834846571087837,
0.024674728512763977,
0.04497713968157768,
0.10632801800966263,
-0.02551080472767353,
-0.04143552482128143,
0.05314693972468376,
-0.037080056965351105,
0.12895618379116058,
0.015491623431444168,
-0.0043031699024140835,
-0.10328692197799683,
-0.030413448810577393,
0.05887455865740776,
0.037612807005643845,
0.0002450371393933892,
0.014042846858501434,
0.0030292770825326443,
-0.09528537839651108,
-0.09534317255020142,
-0.044724199920892715,
-0.0024143254850059748,
0.019610514864325523,
-0.08303762972354889,
0.03827240690588951,
0.04072989895939827,
0.02326733060181141,
-0.01609182171523571,
0.012798414565622807,
-0.052716873586177826,
-0.039497002959251404,
0.01679048500955105,
0.04840612784028053,
-0.024311771616339684,
-0.019518330693244934,
0.026934126392006874,
0.0458412729203701,
-0.034481264650821686,
0.0016371284145861864,
0.008861455135047436,
-0.10128749907016754,
0.016743365675210953,
0.11861619353294373,
-0.002175804926082492,
0.06955678761005402,
0.01626271940767765,
0.043173953890800476,
0.04355042427778244,
-0.02665642835199833,
0.05242244154214859,
0.0013868727255612612,
-0.00006780848343623802,
-0.0396306999027729,
-0.06252418458461761,
0.004284236580133438,
-0.09186046570539474,
-0.002464627381414175,
0.007909517735242844,
-0.030168497934937477,
0.009484751150012016,
0.007692419923841953,
-0.02264217659831047,
-0.03192335367202759,
-0.05681941658258438,
-0.04052695631980896,
0.014119171537458897,
-0.012372307479381561,
-0.06668160110712051,
0.03923915699124336,
-0.08470316231250763,
-2.301598883044586e-34,
0.011013122275471687,
0.06493298709392548,
0.07891266793012619,
0.01588454470038414,
0.027450736612081528,
0.00045817295904271305,
-0.02172265201807022,
-0.05859604850411415,
0.08607347309589386,
-0.03116793744266033,
-0.12495855987071991,
-0.004438518080860376,
0.09473393112421036,
0.020161520689725876,
0.08532308787107468,
-0.0003221597580704838,
0.005268878303468227,
-0.03944884240627289,
-0.06105492264032364,
-0.09213648736476898,
-0.05628715083003044,
0.006719138938933611,
-0.048931874334812164,
-0.07121582329273224,
-0.07081985473632812,
-0.004445170052349567,
0.08604591339826584,
0.0313606821000576,
0.04363841190934181,
-0.05493320897221565,
-0.02226254530251026,
-0.08233296126127243,
-0.05095912888646126,
-0.06796678155660629,
-0.04689257591962814,
0.017235081642866135,
0.025173870846629143,
0.02054435946047306,
-0.0009882869198918343,
-0.025747021660208702,
0.014762606471776962,
-0.004357613157480955,
-0.007880636490881443,
-0.05465541034936905,
-0.036556705832481384,
0.0537225604057312,
-0.054588403552770615,
0.029805326834321022,
-0.08595247566699982,
0.01852133870124817,
-0.03723495081067085,
0.06950632482767105,
-0.06939271837472916,
0.02837688848376274,
-0.009479792788624763,
0.002101659309118986,
-0.007156727369874716,
-0.007109460886567831,
0.07457324117422104,
-0.08981504291296005,
-0.06782393902540207,
0.05135394632816315,
-0.063651442527771,
0.09725234657526016,
-0.013093549758195877,
0.025008590891957283,
-0.07714974135160446,
0.0036621438339352608,
-0.05178241804242134,
-0.0255363117903471,
0.019981181249022484,
0.006815127097070217,
-0.04951257258653641,
0.05526169389486313,
-0.00000884812561707804,
-0.07391035556793213,
0.05913636088371277,
0.030722763389348984,
0.08198457956314087,
-0.017070744186639786,
0.015304784290492535,
-0.02428419329226017,
0.051089219748973846,
-0.019122084602713585,
0.06186528131365776,
0.09808008372783661,
-0.014102615416049957,
-0.006553114391863346,
-0.04162701591849327,
0.06474941223859787,
0.029694458469748497,
0.047092512249946594,
0.03345528244972229,
-0.03496069461107254,
-0.13631847500801086,
-3.945683602069039e-8,
-0.04546907916665077,
0.07089116424322128,
-0.04296238720417023,
-0.031798623502254486,
-0.00017344883235637099,
-0.0018993037519976497,
0.06056296452879906,
0.08019023388624191,
-0.03923102468252182,
0.012528933584690094,
0.062006186693906784,
0.029267141595482826,
0.06742075830698013,
0.003951100166887045,
-0.001185554196126759,
0.021777959540486336,
-0.08297177404165268,
-0.02673381380736828,
-0.059744663536548615,
0.0965961366891861,
-0.009387810714542866,
0.056263517588377,
-0.05881299450993538,
0.04318707436323166,
0.03914470225572586,
0.06095251813530922,
0.04099085554480553,
-0.0009382962016388774,
0.0003616846806835383,
0.026543444022536278,
-0.04409237951040268,
0.03992638736963272,
-0.0379926823079586,
-0.046621449291706085,
0.055279795080423355,
0.005641215480864048,
0.04394380748271942,
0.02838178724050522,
0.02523878403007984,
-0.015113708563148975,
-0.0013441343326121569,
-0.004234482999891043,
-0.024013642221689224,
0.021682847291231155,
0.09001408517360687,
0.03081602416932583,
-0.04291325435042381,
-0.12299852818250656,
0.03249293565750122,
0.009827873669564724,
-0.03336813300848007,
-0.013843943364918232,
0.0073255617171525955,
0.0695183202624321,
0.07785586267709732,
0.02451166696846485,
-0.02228209376335144,
-0.08555450290441513,
0.10299696773290634,
0.0038887227419763803,
-0.015843717381358147,
0.012010796926915646,
-0.02609010599553585,
0.01799778640270233
] | null | null | null | null | null | null | null |
[
0.0039305672980844975,
-0.12726730108261108,
-0.015183517709374428,
0.01305351871997118,
0.09726553410291672,
0.023372335359454155,
0.0162339024245739,
-0.018791915848851204,
-0.027396956458687782,
-0.07564639300107956,
0.044810447841882706,
-0.07865741103887558,
-0.07266929000616074,
0.03684767335653305,
-0.003787656081840396,
-0.057856738567352295,
0.14892497658729553,
0.07296045869588852,
-0.09095541387796402,
-0.0012812985805794597,
-0.06711116433143616,
-0.011737383902072906,
0.03682449460029602,
0.0349365770816803,
0.010537128895521164,
-0.04028922691941261,
0.04084685444831848,
-0.06897642463445663,
0.007434483617544174,
-0.0003333704953547567,
0.113496795296669,
-0.019141845405101776,
-0.0012285355478525162,
-0.010476738214492798,
-0.0684669092297554,
-0.026063943281769753,
-0.016843508929014206,
0.021101873368024826,
-0.0014546610182151198,
0.024358535185456276,
-0.04102737829089165,
0.017689263448119164,
0.014548768289387226,
0.007441086228936911,
0.0858466625213623,
0.04994327202439308,
0.03733612224459648,
-0.03153105452656746,
0.09897766262292862,
-0.001891315565444529,
-0.033110495656728745,
0.008168746717274189,
0.03328492492437363,
0.06592779606580734,
-0.08618885278701782,
-0.048599474132061005,
-0.038384247571229935,
-0.036961473524570465,
0.07884595543146133,
-0.04366790130734444,
0.000102614751085639,
-0.08313769102096558,
0.061208032071590424,
0.01402205228805542,
-0.026568256318569183,
-0.03480464592576027,
0.014698240906000137,
0.027870405465364456,
0.16719764471054077,
0.05885213613510132,
-0.024644022807478905,
0.09736888110637665,
0.02013404108583927,
0.03196896240115166,
-0.033158548176288605,
-0.03665569797158241,
-0.04210565611720085,
-0.026370558887720108,
0.032155122607946396,
-0.037236567586660385,
0.045777518302202225,
-0.11475732922554016,
0.03332914784550667,
0.009852025657892227,
0.07981730997562408,
0.05117034539580345,
-0.04041823744773865,
0.07825097441673279,
-0.037070777267217636,
-0.033904895186424255,
-0.11287086457014084,
0.03119577467441559,
0.07148227095603943,
-0.05328638106584549,
-0.049239035695791245,
-0.020890390500426292,
-0.08364894241094589,
-0.050162337720394135,
0.050613682717084885,
0.07349905371665955,
-0.044083867222070694,
-0.025761818513274193,
0.02051745541393757,
0.09098514169454575,
0.04584575816988945,
-0.0014735991135239601,
0.052657950669527054,
0.04310828074812889,
0.009785987436771393,
0.06386849284172058,
0.07729964703321457,
-0.03472680598497391,
0.008339708670973778,
0.02419094182550907,
0.0689486637711525,
0.012309987097978592,
0.014405162073671818,
-0.01685005985200405,
-0.022298604249954224,
0.04526183754205704,
0.003775322576984763,
-0.01065431721508503,
0.018507955595850945,
-0.008026128634810448,
0.058614589273929596,
-0.02845618687570095,
-0.003675253363326192,
-4.1055655488155e-34,
-0.003069527680054307,
0.02035914920270443,
0.08634747564792633,
-0.017727086320519447,
-0.01745317131280899,
0.0042192526161670685,
-0.025753125548362732,
-0.06298705190420151,
-0.016364526003599167,
0.02346174418926239,
0.023493178188800812,
-0.08178771287202835,
-0.011782265268266201,
0.022655008360743523,
0.047197241336107254,
-0.051444996148347855,
-0.029828116297721863,
0.014265451580286026,
-0.01641269586980343,
0.12555091083049774,
0.020377112552523613,
-0.07194322347640991,
-0.1061311885714531,
-0.012357175350189209,
-0.013002392835915089,
0.05834846571087837,
0.024674728512763977,
0.04497713968157768,
0.10632801800966263,
-0.02551080472767353,
-0.04143552482128143,
0.05314693972468376,
-0.037080056965351105,
0.12895618379116058,
0.015491623431444168,
-0.0043031699024140835,
-0.10328692197799683,
-0.030413448810577393,
0.05887455865740776,
0.037612807005643845,
0.0002450371393933892,
0.014042846858501434,
0.0030292770825326443,
-0.09528537839651108,
-0.09534317255020142,
-0.044724199920892715,
-0.0024143254850059748,
0.019610514864325523,
-0.08303762972354889,
0.03827240690588951,
0.04072989895939827,
0.02326733060181141,
-0.01609182171523571,
0.012798414565622807,
-0.052716873586177826,
-0.039497002959251404,
0.01679048500955105,
0.04840612784028053,
-0.024311771616339684,
-0.019518330693244934,
0.026934126392006874,
0.0458412729203701,
-0.034481264650821686,
0.0016371284145861864,
0.008861455135047436,
-0.10128749907016754,
0.016743365675210953,
0.11861619353294373,
-0.002175804926082492,
0.06955678761005402,
0.01626271940767765,
0.043173953890800476,
0.04355042427778244,
-0.02665642835199833,
0.05242244154214859,
0.0013868727255612612,
-0.00006780848343623802,
-0.0396306999027729,
-0.06252418458461761,
0.004284236580133438,
-0.09186046570539474,
-0.002464627381414175,
0.007909517735242844,
-0.030168497934937477,
0.009484751150012016,
0.007692419923841953,
-0.02264217659831047,
-0.03192335367202759,
-0.05681941658258438,
-0.04052695631980896,
0.014119171537458897,
-0.012372307479381561,
-0.06668160110712051,
0.03923915699124336,
-0.08470316231250763,
-2.301598883044586e-34,
0.011013122275471687,
0.06493298709392548,
0.07891266793012619,
0.01588454470038414,
0.027450736612081528,
0.00045817295904271305,
-0.02172265201807022,
-0.05859604850411415,
0.08607347309589386,
-0.03116793744266033,
-0.12495855987071991,
-0.004438518080860376,
0.09473393112421036,
0.020161520689725876,
0.08532308787107468,
-0.0003221597580704838,
0.005268878303468227,
-0.03944884240627289,
-0.06105492264032364,
-0.09213648736476898,
-0.05628715083003044,
0.006719138938933611,
-0.048931874334812164,
-0.07121582329273224,
-0.07081985473632812,
-0.004445170052349567,
0.08604591339826584,
0.0313606821000576,
0.04363841190934181,
-0.05493320897221565,
-0.02226254530251026,
-0.08233296126127243,
-0.05095912888646126,
-0.06796678155660629,
-0.04689257591962814,
0.017235081642866135,
0.025173870846629143,
0.02054435946047306,
-0.0009882869198918343,
-0.025747021660208702,
0.014762606471776962,
-0.004357613157480955,
-0.007880636490881443,
-0.05465541034936905,
-0.036556705832481384,
0.0537225604057312,
-0.054588403552770615,
0.029805326834321022,
-0.08595247566699982,
0.01852133870124817,
-0.03723495081067085,
0.06950632482767105,
-0.06939271837472916,
0.02837688848376274,
-0.009479792788624763,
0.002101659309118986,
-0.007156727369874716,
-0.007109460886567831,
0.07457324117422104,
-0.08981504291296005,
-0.06782393902540207,
0.05135394632816315,
-0.063651442527771,
0.09725234657526016,
-0.013093549758195877,
0.025008590891957283,
-0.07714974135160446,
0.0036621438339352608,
-0.05178241804242134,
-0.0255363117903471,
0.019981181249022484,
0.006815127097070217,
-0.04951257258653641,
0.05526169389486313,
-0.00000884812561707804,
-0.07391035556793213,
0.05913636088371277,
0.030722763389348984,
0.08198457956314087,
-0.017070744186639786,
0.015304784290492535,
-0.02428419329226017,
0.051089219748973846,
-0.019122084602713585,
0.06186528131365776,
0.09808008372783661,
-0.014102615416049957,
-0.006553114391863346,
-0.04162701591849327,
0.06474941223859787,
0.029694458469748497,
0.047092512249946594,
0.03345528244972229,
-0.03496069461107254,
-0.13631847500801086,
-3.945683602069039e-8,
-0.04546907916665077,
0.07089116424322128,
-0.04296238720417023,
-0.031798623502254486,
-0.00017344883235637099,
-0.0018993037519976497,
0.06056296452879906,
0.08019023388624191,
-0.03923102468252182,
0.012528933584690094,
0.062006186693906784,
0.029267141595482826,
0.06742075830698013,
0.003951100166887045,
-0.001185554196126759,
0.021777959540486336,
-0.08297177404165268,
-0.02673381380736828,
-0.059744663536548615,
0.0965961366891861,
-0.009387810714542866,
0.056263517588377,
-0.05881299450993538,
0.04318707436323166,
0.03914470225572586,
0.06095251813530922,
0.04099085554480553,
-0.0009382962016388774,
0.0003616846806835383,
0.026543444022536278,
-0.04409237951040268,
0.03992638736963272,
-0.0379926823079586,
-0.046621449291706085,
0.055279795080423355,
0.005641215480864048,
0.04394380748271942,
0.02838178724050522,
0.02523878403007984,
-0.015113708563148975,
-0.0013441343326121569,
-0.004234482999891043,
-0.024013642221689224,
0.021682847291231155,
0.09001408517360687,
0.03081602416932583,
-0.04291325435042381,
-0.12299852818250656,
0.03249293565750122,
0.009827873669564724,
-0.03336813300848007,
-0.013843943364918232,
0.0073255617171525955,
0.0695183202624321,
0.07785586267709732,
0.02451166696846485,
-0.02228209376335144,
-0.08555450290441513,
0.10299696773290634,
0.0038887227419763803,
-0.015843717381358147,
0.012010796926915646,
-0.02609010599553585,
0.01799778640270233
] |
1402.2827
|
Carlos Gershenson
|
Carlos Gershenson
|
Harnessing the Complexity of Education with Information Technology
|
5 pages, 2 figures. Commentary
|
Complexity, 20(5):13-16. 2015
|
10.1002/cplx.21536
| null |
cs.CY
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Education at all levels is facing several challenges in most countries, such
as low quality, high costs, lack of educators, and unsatisfied student demand.
Traditional approaches are becoming unable to deliver the required education.
Several causes for this inefficiency can be identified. I argue that beyond
specific causes, the lack of effective education is related to complexity.
However, information technology is helping us overcome this complexity.
|
[
{
"created": "Mon, 10 Feb 2014 22:44:41 GMT",
"version": "v1"
}
] |
2016-04-01
|
[
[
"Gershenson",
"Carlos",
""
]
] |
[
0.02532612532377243,
0.020656295120716095,
0.03627568110823631,
0.03948120027780533,
0.0323171429336071,
-0.07882338017225266,
-0.05622102692723274,
0.07507258653640747,
0.06421388685703278,
0.05638793110847473,
0.010256514884531498,
0.08904936164617538,
0.039376020431518555,
-0.004079777281731367,
0.02815661020576954,
-0.06422076374292374,
-0.03080081008374691,
-0.09903523325920105,
0.01085131336003542,
-0.11275488138198853,
0.031889647245407104,
0.025715449824929237,
0.030549710616469383,
0.011484893970191479,
-0.07619130611419678,
0.032262641936540604,
-0.06465887278318405,
-0.14348703622817993,
0.02595258131623268,
-0.084739089012146,
-0.02097012847661972,
0.03234323859214783,
0.03867655619978905,
0.04836424067616463,
-0.04859299585223198,
0.008853219449520111,
0.059675902128219604,
0.028515523299574852,
-0.04878038913011551,
-0.0008104825974442065,
-0.029406797140836716,
-0.01684645749628544,
-0.0657527968287468,
0.007859798148274422,
0.10044603794813156,
-0.0039043326396495104,
-0.034269485622644424,
-0.06948210299015045,
-0.059819284826517105,
-0.019384313374757767,
-0.08338890969753265,
-0.04813379794359207,
0.025346670299768448,
-0.0832710862159729,
-0.06913606822490692,
-0.04500844329595566,
0.03579455241560936,
0.0435338132083416,
-0.03169000521302223,
-0.03654124587774277,
-0.017866244539618492,
-0.01149419043213129,
-0.006725037470459938,
-0.011529459618031979,
0.06862884759902954,
0.060390930622816086,
0.019951023161411285,
-0.009811117313802242,
0.015591463074088097,
0.08730339258909225,
-0.0193021297454834,
-0.01141069084405899,
-0.07730802148580551,
0.07488752156496048,
0.05614989995956421,
-0.09174586087465286,
0.026161450892686844,
0.03700128197669983,
0.03388732299208641,
0.11907929182052612,
0.060403887182474136,
0.0074293771758675575,
-0.01907212845981121,
0.027331247925758362,
0.0030558474827557802,
-0.04367374628782272,
-0.011010211892426014,
-0.038081999868154526,
0.00862410943955183,
-0.11108903586864471,
-0.01805761829018593,
-0.023528147488832474,
-0.03641662374138832,
0.14242540299892426,
0.09972459822893143,
-0.039248403161764145,
0.058073174208402634,
-0.07493188977241516,
-0.07105829566717148,
0.02843574248254299,
-0.021878276020288467,
0.05463702604174614,
-0.01344975084066391,
-0.07707791775465012,
-0.06015989929437637,
0.011453954502940178,
0.09994342923164368,
0.02415533922612667,
-0.006239991169422865,
-0.06846754252910614,
-0.0002555242972448468,
-0.03372633457183838,
-0.045158348977565765,
-0.032222930341959,
0.020019907504320145,
-0.0022781584411859512,
0.026868334040045738,
0.05930506810545921,
0.06496960669755936,
0.08248642832040787,
0.013123017735779285,
-0.019310038536787033,
-0.08237888664007187,
-0.05931401625275612,
-0.04075505957007408,
-0.11502909660339355,
-0.024676740169525146,
3.548176800711288e-33,
0.009090526960790157,
0.08974381536245346,
0.05624464154243469,
0.06075608357787132,
-0.016788003966212273,
-0.012441269122064114,
-0.004387883469462395,
-0.007318806368857622,
-0.03657406568527222,
0.028286559507250786,
0.01401282474398613,
0.02816241793334484,
-0.02048305794596672,
0.004669344052672386,
0.1549414098262787,
-0.08169537782669067,
-0.05457888916134834,
0.05186285823583603,
0.069387286901474,
0.04077781364321709,
0.04500582814216614,
-0.07332252711057663,
0.046750083565711975,
-0.10853888094425201,
0.030682990327477455,
0.005072023253887892,
0.011351851746439934,
0.025882650166749954,
0.05748564377427101,
-0.036324430257081985,
0.036947377026081085,
-0.059506721794605255,
-0.04017825052142143,
-0.04317958280444145,
0.031314779072999954,
-0.08636411279439926,
0.020353639498353004,
0.009212535806000233,
0.05324922502040863,
-0.05003608018159866,
-0.054894205182790756,
0.008374685421586037,
0.04761970415711403,
-0.005839539226144552,
0.02136257290840149,
0.04284052923321724,
0.07144266366958618,
-0.058228932321071625,
-0.036102570593357086,
0.031130529940128326,
-0.04675935581326485,
-0.0022597196511924267,
-0.012998941354453564,
-0.030386971309781075,
-0.002228791592642665,
0.05015551298856735,
0.04644349589943886,
-0.014505485072731972,
0.02117316611111164,
-0.013833151198923588,
-0.03594733029603958,
-0.06685040891170502,
-0.038530219346284866,
0.035975512117147446,
0.04601572826504707,
-0.01565825566649437,
-0.025982102379202843,
-0.01386228110641241,
0.06479215621948242,
-0.05776286870241165,
-0.030228933319449425,
-0.06621134281158447,
-0.04791281744837761,
0.009251685813069344,
0.024287376552820206,
0.0278182253241539,
0.0024433124344795942,
-0.07243716716766357,
0.025273023173213005,
0.053436193615198135,
-0.05996937304735184,
-0.011896790936589241,
0.08448882400989532,
-0.074112668633461,
-0.0001591498003108427,
0.037716202437877655,
0.020113768056035042,
0.019968347623944283,
0.015867214649915695,
0.07600250840187073,
-0.013648146763443947,
0.020978759974241257,
-0.06605461239814758,
0.034699697047472,
0.10192547738552094,
-4.9374156974474075e-33,
0.04527366906404495,
0.0015538862207904458,
-0.029570333659648895,
0.05193879455327988,
0.06591714918613434,
0.010521406307816505,
0.031128501519560814,
0.0038063316605985165,
0.013397485949099064,
0.012281913310289383,
-0.013628651387989521,
-0.034836508333683014,
-0.027202950790524483,
0.025232188403606415,
-0.007072451990097761,
0.01975438743829727,
-0.006857877131551504,
-0.020545607432723045,
0.032327424734830856,
0.017716266214847565,
0.0360611155629158,
-0.009391942992806435,
-0.032316721975803375,
-0.026911787688732147,
-0.023572491481900215,
0.009036003611981869,
-0.15826047956943512,
0.009683843702077866,
-0.016100864857435226,
0.10816054046154022,
0.01597980409860611,
-0.13977669179439545,
0.014606264419853687,
0.05338263139128685,
-0.061037082225084305,
0.0221063494682312,
0.019728584215044975,
0.061466626822948456,
-0.035202451050281525,
0.05599968135356903,
0.02959674969315529,
0.002447776962071657,
-0.030859867110848427,
-0.03405066207051277,
0.053019240498542786,
0.034242913126945496,
-0.0026947453152388334,
0.006082600448280573,
-0.0034936952870339155,
0.04473017901182175,
0.08814805746078491,
0.04239074885845184,
-0.0009829243645071983,
-0.05034217610955238,
0.06560870260000229,
0.023836135864257812,
0.005694055929780006,
0.024098491296172142,
-0.01957830972969532,
0.03473934531211853,
-0.011368376202881336,
-0.032297082245349884,
-0.023174220696091652,
0.008765721693634987,
0.06833790987730026,
-0.054011374711990356,
0.049390509724617004,
0.12298185378313065,
-0.022102847695350647,
-0.027576962485909462,
0.0402519591152668,
-0.008227857761085033,
-0.07392687350511551,
-0.10354562103748322,
0.0023028883151710033,
0.1231837049126625,
-0.004287142772227526,
0.06488887220621109,
-0.04615391790866852,
-0.0019003963097929955,
0.08231410384178162,
-0.002311232965439558,
0.008180631324648857,
-0.05330948531627655,
-0.043237730860710144,
0.022833237424492836,
0.08364354074001312,
-0.05593850836157799,
-0.0068744816817343235,
0.009413093328475952,
-0.05390617996454239,
-0.02631017006933689,
0.007101989351212978,
-0.024111537262797356,
-0.05051906779408455,
-4.9681329272743824e-8,
-0.03073904663324356,
-0.12932606041431427,
-0.030743418261408806,
-0.05481048673391342,
0.04066180810332298,
0.011385766789317131,
0.040603358298540115,
0.09965109080076218,
-0.005517870653420687,
0.05296400189399719,
-0.08678863197565079,
-0.055049847811460495,
0.021494273096323013,
0.048333074897527695,
0.1237754225730896,
0.0960533618927002,
-0.060205768793821335,
0.03979227691888809,
-0.01800408773124218,
0.006661230698227882,
0.06750696897506714,
-0.05510520562529564,
-0.08204804360866547,
-0.04768606647849083,
0.022388676181435585,
0.061597634106874466,
0.04006260633468628,
0.00008611824887339026,
-0.04487054422497749,
0.03319552540779114,
0.015117321163415909,
-0.043771687895059586,
0.0015067608328536153,
-0.061813101172447205,
-0.023796822875738144,
-0.030686527490615845,
-0.01114102452993393,
0.008600516244769096,
-0.034326303750276566,
-0.06775252521038055,
-0.040336888283491135,
0.03982028737664223,
0.08838920295238495,
0.020482473075389862,
0.03743850812315941,
-0.010832073166966438,
-0.10450020432472229,
0.06640670448541641,
-0.02761710248887539,
-0.018889199942350388,
-0.052243731915950775,
-0.0033270923886448145,
-0.034857362508773804,
-0.06610263139009476,
0.017281634733080864,
-0.060615550726652145,
0.07537169009447098,
-0.04337211325764656,
-0.054918766021728516,
0.03280536085367203,
0.06465471535921097,
-0.0644625648856163,
0.044558119028806686,
0.022439321503043175
] | null | null | null | null | null | null | null |
[
0.02532612532377243,
0.020656295120716095,
0.03627568110823631,
0.03948120027780533,
0.0323171429336071,
-0.07882338017225266,
-0.05622102692723274,
0.07507258653640747,
0.06421388685703278,
0.05638793110847473,
0.010256514884531498,
0.08904936164617538,
0.039376020431518555,
-0.004079777281731367,
0.02815661020576954,
-0.06422076374292374,
-0.03080081008374691,
-0.09903523325920105,
0.01085131336003542,
-0.11275488138198853,
0.031889647245407104,
0.025715449824929237,
0.030549710616469383,
0.011484893970191479,
-0.07619130611419678,
0.032262641936540604,
-0.06465887278318405,
-0.14348703622817993,
0.02595258131623268,
-0.084739089012146,
-0.02097012847661972,
0.03234323859214783,
0.03867655619978905,
0.04836424067616463,
-0.04859299585223198,
0.008853219449520111,
0.059675902128219604,
0.028515523299574852,
-0.04878038913011551,
-0.0008104825974442065,
-0.029406797140836716,
-0.01684645749628544,
-0.0657527968287468,
0.007859798148274422,
0.10044603794813156,
-0.0039043326396495104,
-0.034269485622644424,
-0.06948210299015045,
-0.059819284826517105,
-0.019384313374757767,
-0.08338890969753265,
-0.04813379794359207,
0.025346670299768448,
-0.0832710862159729,
-0.06913606822490692,
-0.04500844329595566,
0.03579455241560936,
0.0435338132083416,
-0.03169000521302223,
-0.03654124587774277,
-0.017866244539618492,
-0.01149419043213129,
-0.006725037470459938,
-0.011529459618031979,
0.06862884759902954,
0.060390930622816086,
0.019951023161411285,
-0.009811117313802242,
0.015591463074088097,
0.08730339258909225,
-0.0193021297454834,
-0.01141069084405899,
-0.07730802148580551,
0.07488752156496048,
0.05614989995956421,
-0.09174586087465286,
0.026161450892686844,
0.03700128197669983,
0.03388732299208641,
0.11907929182052612,
0.060403887182474136,
0.0074293771758675575,
-0.01907212845981121,
0.027331247925758362,
0.0030558474827557802,
-0.04367374628782272,
-0.011010211892426014,
-0.038081999868154526,
0.00862410943955183,
-0.11108903586864471,
-0.01805761829018593,
-0.023528147488832474,
-0.03641662374138832,
0.14242540299892426,
0.09972459822893143,
-0.039248403161764145,
0.058073174208402634,
-0.07493188977241516,
-0.07105829566717148,
0.02843574248254299,
-0.021878276020288467,
0.05463702604174614,
-0.01344975084066391,
-0.07707791775465012,
-0.06015989929437637,
0.011453954502940178,
0.09994342923164368,
0.02415533922612667,
-0.006239991169422865,
-0.06846754252910614,
-0.0002555242972448468,
-0.03372633457183838,
-0.045158348977565765,
-0.032222930341959,
0.020019907504320145,
-0.0022781584411859512,
0.026868334040045738,
0.05930506810545921,
0.06496960669755936,
0.08248642832040787,
0.013123017735779285,
-0.019310038536787033,
-0.08237888664007187,
-0.05931401625275612,
-0.04075505957007408,
-0.11502909660339355,
-0.024676740169525146,
3.548176800711288e-33,
0.009090526960790157,
0.08974381536245346,
0.05624464154243469,
0.06075608357787132,
-0.016788003966212273,
-0.012441269122064114,
-0.004387883469462395,
-0.007318806368857622,
-0.03657406568527222,
0.028286559507250786,
0.01401282474398613,
0.02816241793334484,
-0.02048305794596672,
0.004669344052672386,
0.1549414098262787,
-0.08169537782669067,
-0.05457888916134834,
0.05186285823583603,
0.069387286901474,
0.04077781364321709,
0.04500582814216614,
-0.07332252711057663,
0.046750083565711975,
-0.10853888094425201,
0.030682990327477455,
0.005072023253887892,
0.011351851746439934,
0.025882650166749954,
0.05748564377427101,
-0.036324430257081985,
0.036947377026081085,
-0.059506721794605255,
-0.04017825052142143,
-0.04317958280444145,
0.031314779072999954,
-0.08636411279439926,
0.020353639498353004,
0.009212535806000233,
0.05324922502040863,
-0.05003608018159866,
-0.054894205182790756,
0.008374685421586037,
0.04761970415711403,
-0.005839539226144552,
0.02136257290840149,
0.04284052923321724,
0.07144266366958618,
-0.058228932321071625,
-0.036102570593357086,
0.031130529940128326,
-0.04675935581326485,
-0.0022597196511924267,
-0.012998941354453564,
-0.030386971309781075,
-0.002228791592642665,
0.05015551298856735,
0.04644349589943886,
-0.014505485072731972,
0.02117316611111164,
-0.013833151198923588,
-0.03594733029603958,
-0.06685040891170502,
-0.038530219346284866,
0.035975512117147446,
0.04601572826504707,
-0.01565825566649437,
-0.025982102379202843,
-0.01386228110641241,
0.06479215621948242,
-0.05776286870241165,
-0.030228933319449425,
-0.06621134281158447,
-0.04791281744837761,
0.009251685813069344,
0.024287376552820206,
0.0278182253241539,
0.0024433124344795942,
-0.07243716716766357,
0.025273023173213005,
0.053436193615198135,
-0.05996937304735184,
-0.011896790936589241,
0.08448882400989532,
-0.074112668633461,
-0.0001591498003108427,
0.037716202437877655,
0.020113768056035042,
0.019968347623944283,
0.015867214649915695,
0.07600250840187073,
-0.013648146763443947,
0.020978759974241257,
-0.06605461239814758,
0.034699697047472,
0.10192547738552094,
-4.9374156974474075e-33,
0.04527366906404495,
0.0015538862207904458,
-0.029570333659648895,
0.05193879455327988,
0.06591714918613434,
0.010521406307816505,
0.031128501519560814,
0.0038063316605985165,
0.013397485949099064,
0.012281913310289383,
-0.013628651387989521,
-0.034836508333683014,
-0.027202950790524483,
0.025232188403606415,
-0.007072451990097761,
0.01975438743829727,
-0.006857877131551504,
-0.020545607432723045,
0.032327424734830856,
0.017716266214847565,
0.0360611155629158,
-0.009391942992806435,
-0.032316721975803375,
-0.026911787688732147,
-0.023572491481900215,
0.009036003611981869,
-0.15826047956943512,
0.009683843702077866,
-0.016100864857435226,
0.10816054046154022,
0.01597980409860611,
-0.13977669179439545,
0.014606264419853687,
0.05338263139128685,
-0.061037082225084305,
0.0221063494682312,
0.019728584215044975,
0.061466626822948456,
-0.035202451050281525,
0.05599968135356903,
0.02959674969315529,
0.002447776962071657,
-0.030859867110848427,
-0.03405066207051277,
0.053019240498542786,
0.034242913126945496,
-0.0026947453152388334,
0.006082600448280573,
-0.0034936952870339155,
0.04473017901182175,
0.08814805746078491,
0.04239074885845184,
-0.0009829243645071983,
-0.05034217610955238,
0.06560870260000229,
0.023836135864257812,
0.005694055929780006,
0.024098491296172142,
-0.01957830972969532,
0.03473934531211853,
-0.011368376202881336,
-0.032297082245349884,
-0.023174220696091652,
0.008765721693634987,
0.06833790987730026,
-0.054011374711990356,
0.049390509724617004,
0.12298185378313065,
-0.022102847695350647,
-0.027576962485909462,
0.0402519591152668,
-0.008227857761085033,
-0.07392687350511551,
-0.10354562103748322,
0.0023028883151710033,
0.1231837049126625,
-0.004287142772227526,
0.06488887220621109,
-0.04615391790866852,
-0.0019003963097929955,
0.08231410384178162,
-0.002311232965439558,
0.008180631324648857,
-0.05330948531627655,
-0.043237730860710144,
0.022833237424492836,
0.08364354074001312,
-0.05593850836157799,
-0.0068744816817343235,
0.009413093328475952,
-0.05390617996454239,
-0.02631017006933689,
0.007101989351212978,
-0.024111537262797356,
-0.05051906779408455,
-4.9681329272743824e-8,
-0.03073904663324356,
-0.12932606041431427,
-0.030743418261408806,
-0.05481048673391342,
0.04066180810332298,
0.011385766789317131,
0.040603358298540115,
0.09965109080076218,
-0.005517870653420687,
0.05296400189399719,
-0.08678863197565079,
-0.055049847811460495,
0.021494273096323013,
0.048333074897527695,
0.1237754225730896,
0.0960533618927002,
-0.060205768793821335,
0.03979227691888809,
-0.01800408773124218,
0.006661230698227882,
0.06750696897506714,
-0.05510520562529564,
-0.08204804360866547,
-0.04768606647849083,
0.022388676181435585,
0.061597634106874466,
0.04006260633468628,
0.00008611824887339026,
-0.04487054422497749,
0.03319552540779114,
0.015117321163415909,
-0.043771687895059586,
0.0015067608328536153,
-0.061813101172447205,
-0.023796822875738144,
-0.030686527490615845,
-0.01114102452993393,
0.008600516244769096,
-0.034326303750276566,
-0.06775252521038055,
-0.040336888283491135,
0.03982028737664223,
0.08838920295238495,
0.020482473075389862,
0.03743850812315941,
-0.010832073166966438,
-0.10450020432472229,
0.06640670448541641,
-0.02761710248887539,
-0.018889199942350388,
-0.052243731915950775,
-0.0033270923886448145,
-0.034857362508773804,
-0.06610263139009476,
0.017281634733080864,
-0.060615550726652145,
0.07537169009447098,
-0.04337211325764656,
-0.054918766021728516,
0.03280536085367203,
0.06465471535921097,
-0.0644625648856163,
0.044558119028806686,
0.022439321503043175
] |
1402.2830
|
Mikael Rechtsman
|
D. Guzman-Silva, C. Mejia-Cortes, M.A. Bandres, M.C. Rechtsman, S.
Weimann, S. Nolte, M. Segev, A. Szameit, and R. A. Vicencio
|
Experimental observation of bulk and edge transport in photonic Lieb
lattices
|
8 pages; 4 figures
|
New Journal of Physics 16 (2014) 063061
|
10.1088/1367-2630/16/6/063061
| null |
physics.optics cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the transport of light in the bulk and at the edge of photonic
Lieb lattices, whose unique feature is the existence of a flat band
representing stationary states in the middle of the band structure that can
form localized bulk states. We find that transport in bulk Lieb lattices is
significantly affected by the particular excitation site within the unit cell,
due to overlap with the flat band states. Additionally, we demonstrate the
existence of new edge states in anisotropic Lieb lattices. These states arise
due to a virtual defect at the lattice edges and are not described by the
standard tight-binding model.
|
[
{
"created": "Wed, 12 Feb 2014 14:22:51 GMT",
"version": "v1"
}
] |
2018-09-03
|
[
[
"Guzman-Silva",
"D.",
""
],
[
"Mejia-Cortes",
"C.",
""
],
[
"Bandres",
"M. A.",
""
],
[
"Rechtsman",
"M. C.",
""
],
[
"Weimann",
"S.",
""
],
[
"Nolte",
"S.",
""
],
[
"Segev",
"M.",
""
],
[
"Szameit",
"A.",
""
],
[
"Vicencio",
"R. A.",
""
]
] |
[
0.03197233006358147,
-0.08130436390638351,
-0.024793734773993492,
0.041153568774461746,
-0.06270908564329147,
-0.0024445748422294855,
0.04527926817536354,
-0.024696940556168556,
0.017475305125117302,
-0.03183083236217499,
0.028554409742355347,
-0.013253600336611271,
-0.09183996170759201,
-0.003921630326658487,
0.12292373925447464,
0.0064353495836257935,
0.026468491181731224,
-0.02422052063047886,
-0.03581676259636879,
0.05399008095264435,
0.014786774292588234,
-0.05074257403612137,
-0.039285700768232346,
-0.0529683455824852,
-0.030239684507250786,
0.0013896820601075888,
0.029475955292582512,
-0.04480588436126709,
0.009674375876784325,
-0.04591263830661774,
0.021145237609744072,
-0.016068965196609497,
-0.06414658576250076,
0.08199990540742874,
0.03297898545861244,
-0.011727815493941307,
0.03320860490202904,
-0.11031324416399002,
-0.03677430748939514,
0.033119507133960724,
0.060768913477659225,
0.050461627542972565,
0.013309369795024395,
0.10940131545066833,
-0.020708762109279633,
0.02893066219985485,
0.12210002541542053,
0.00901100505143404,
-0.07123632729053497,
-0.10158094763755798,
0.017681803554296494,
0.012181010097265244,
-0.036076512187719345,
0.09223011881113052,
-0.08279988914728165,
-0.0035718970466405153,
0.047349490225315094,
0.013537563383579254,
0.009803970344364643,
-0.024792077019810677,
-0.006872639991343021,
0.044548146426677704,
0.017062773928046227,
-0.020681152120232582,
0.06621761620044708,
0.0722852572798729,
-0.055347830057144165,
0.0230732224881649,
-0.0236905999481678,
0.010142609477043152,
0.055257827043533325,
-0.022451337426900864,
-0.06269413977861404,
0.02368309162557125,
0.02618713676929474,
-0.03740863502025604,
-0.00748137291520834,
0.1156109943985939,
0.02028058096766472,
-0.012052485719323158,
-0.075510174036026,
-0.03630527853965759,
0.01974029652774334,
0.06599628925323486,
0.01911730319261551,
-0.047242432832717896,
-0.07857432961463928,
0.012259063310921192,
-0.05977482348680496,
-0.02126072347164154,
0.07120701670646667,
0.012529991567134857,
-0.055165570229291916,
0.016452280804514885,
0.008958462625741959,
0.013805263675749302,
0.004464515019208193,
0.0014722743071615696,
-0.009242650121450424,
-0.014148063026368618,
0.06103013455867767,
-0.05279293656349182,
0.03930812329053879,
0.09063658118247986,
-0.017581332474946976,
-0.021953115239739418,
0.05385872349143028,
0.06926479935646057,
-0.07875794172286987,
-0.0043296292424201965,
0.06674746423959732,
0.03923020511865616,
0.07529327273368835,
-0.0077878376469016075,
-0.07024727016687393,
-0.05271909385919571,
-0.017165623605251312,
0.12449934333562851,
-0.053634632378816605,
0.00956809800118208,
-0.0521024651825428,
0.017692113295197487,
0.027123454958200455,
0.049650177359580994,
-0.05997565761208534,
-0.027815265581011772,
-0.07537510991096497,
-4.1127998900253456e-34,
0.035228777676820755,
-0.0047292462550103664,
-0.010257112793624401,
0.029517104849219322,
-0.01807916723191738,
-0.04312065616250038,
0.047743577510118484,
-0.11192652583122253,
-0.08558686077594757,
-0.003868374740704894,
-0.023273462429642677,
-0.01953861489892006,
0.04178528115153313,
0.051849983632564545,
-0.015133683569729328,
-0.05047117918729782,
-0.050960421562194824,
-0.046888548880815506,
0.09537401050329208,
0.05264275521039963,
0.029803311452269554,
0.027533793821930885,
0.0185138788074255,
0.023795070126652718,
-0.06534884124994278,
-0.002347474917769432,
-0.014572407118976116,
-0.034291695803403854,
0.001465771347284317,
0.004091556649655104,
-0.0028511458076536655,
0.0761835053563118,
0.06350865960121155,
0.045259177684783936,
0.10870148241519928,
0.024875154718756676,
0.052250247448682785,
0.014951632358133793,
-0.012343491427600384,
-0.07753445953130722,
-0.007082898169755936,
-0.02543945424258709,
-0.017748190090060234,
0.11551939696073532,
0.038208458572626114,
-0.00875648483633995,
0.006519400514662266,
-0.0033495521638542414,
-0.02451859414577484,
-0.061138611286878586,
-0.05208299681544304,
-0.13628756999969482,
-0.009262381121516228,
0.04398711398243904,
0.017795134335756302,
-0.04473034292459488,
0.0027936960104852915,
0.040465328842401505,
0.036973416805267334,
-0.02471957542002201,
0.11645236611366272,
0.018709562718868256,
0.07782620936632156,
0.002319407183676958,
-0.018917866051197052,
-0.0035843350924551487,
-0.028729675337672234,
-0.002189090009778738,
-0.016905933618545532,
-0.06905794888734818,
0.027423931285738945,
0.04095928370952606,
-0.007922038435935974,
-0.032045360654592514,
0.08580572158098221,
-0.00885036587715149,
0.07542692124843597,
-0.06069779396057129,
-0.008088997565209866,
0.020212043076753616,
-0.037639275193214417,
-0.07939622551202774,
-0.06627300381660461,
0.00948424730449915,
-0.08456926047801971,
0.054251108318567276,
-0.06550943106412888,
-0.06540781259536743,
-0.13570334017276764,
0.0373503640294075,
0.07896324247121811,
-0.038409460335969925,
0.06262325495481491,
-0.008221127092838287,
-0.004539781715720892,
-3.310978203762674e-34,
0.016910947859287262,
-0.03445538133382797,
0.03161422908306122,
-0.01017284020781517,
0.08642701059579849,
-0.036955252289772034,
0.047644197940826416,
0.05921567976474762,
0.046606432646512985,
0.08370456099510193,
0.025887364521622658,
0.04740201681852341,
-0.07203126698732376,
0.003404669463634491,
-0.046070825308561325,
-0.0001993052865145728,
0.07707183063030243,
-0.0692797303199768,
0.019421853125095367,
-0.028890682384371758,
-0.06544418632984161,
-0.07927196472883224,
-0.00702666025608778,
-0.005333901848644018,
0.011959506198763847,
0.06670328229665756,
-0.013737301342189312,
0.10988788306713104,
-0.07363623380661011,
-0.011458933353424072,
0.07551803439855576,
0.04535453021526337,
-0.05845215171575546,
-0.04432467371225357,
-0.06427475810050964,
0.0625995323061943,
-0.022978926077485085,
-0.02317214198410511,
-0.001773944473825395,
-0.021781951189041138,
-0.012740747071802616,
-0.00247544446028769,
-0.043998148292303085,
0.030351335182785988,
0.055480267852544785,
0.04372680187225342,
-0.06415782868862152,
-0.024770038202404976,
-0.16425713896751404,
-0.04589966684579849,
-0.08868895471096039,
0.03758099302649498,
0.00790499523282051,
0.02316194586455822,
-0.04392212629318237,
0.1029067263007164,
-0.04955707862973213,
0.06854218989610672,
0.029263444244861603,
-0.0022680964320898056,
-0.033088404685258865,
0.01396958902478218,
0.06753604114055634,
-0.02236780896782875,
0.008716450072824955,
-0.008975770324468613,
0.06244456768035889,
-0.03918406367301941,
0.025476554408669472,
0.03820750489830971,
0.043920621275901794,
-0.0003216242475900799,
-0.09363499283790588,
-0.0081622414290905,
0.07554665952920914,
0.007657266221940517,
0.037442225962877274,
0.012860286049544811,
0.0030504781752824783,
0.015277279540896416,
-0.012162739410996437,
0.06892115622758865,
-0.002324460307136178,
-0.06255824863910675,
0.07028903812170029,
-0.04156550019979477,
0.010164686478674412,
0.03521190956234932,
-0.04432924464344978,
0.04497095197439194,
0.002435508882626891,
-0.10758299380540848,
0.049172114580869675,
-0.05206277221441269,
0.0351078100502491,
-3.906364298700282e-8,
-0.016690073534846306,
-0.014462346211075783,
0.018487103283405304,
-0.011408121325075626,
0.020303022116422653,
0.004657955374568701,
0.04931036755442619,
0.05303842946887016,
0.01832430809736252,
-0.0015857069520279765,
0.018460731953382492,
-0.10938029736280441,
-0.10724817961454391,
-0.0798444077372551,
0.03537794575095177,
0.07608435302972794,
-0.03135298937559128,
-0.00512942997738719,
-0.009221897460520267,
-0.03338344767689705,
0.030129343271255493,
-0.030781297013163567,
0.11010141670703888,
0.09481851011514664,
-0.004597564693540335,
-0.036689642816782,
-0.08944734930992126,
-0.05177362635731697,
0.017863880842924118,
0.00306421029381454,
0.07142671942710876,
-0.018273048102855682,
0.11160330474376678,
0.05221711844205856,
-0.09243214130401611,
-0.03446032479405403,
-0.08786885440349579,
-0.07680144906044006,
0.0014947897288948298,
0.024568889290094376,
-0.024016395211219788,
-0.01392342522740364,
0.06894317269325256,
0.010537049733102322,
-0.020262401551008224,
0.035934947431087494,
-0.001875988906249404,
0.06089423969388008,
0.016460441052913666,
0.08696898818016052,
0.021592164412140846,
0.03265607729554176,
-0.09141837060451508,
0.042784057557582855,
-0.04500257223844528,
-0.0332784540951252,
-0.02969794161617756,
0.03111240081489086,
0.010988474823534489,
0.06625788658857346,
-0.10108296573162079,
-0.010938501916825771,
-0.05819656327366829,
0.0137626389041543
] | null | null | null | null | null | null | null |
[
0.03197233006358147,
-0.08130436390638351,
-0.024793734773993492,
0.041153568774461746,
-0.06270908564329147,
-0.0024445748422294855,
0.04527926817536354,
-0.024696940556168556,
0.017475305125117302,
-0.03183083236217499,
0.028554409742355347,
-0.013253600336611271,
-0.09183996170759201,
-0.003921630326658487,
0.12292373925447464,
0.0064353495836257935,
0.026468491181731224,
-0.02422052063047886,
-0.03581676259636879,
0.05399008095264435,
0.014786774292588234,
-0.05074257403612137,
-0.039285700768232346,
-0.0529683455824852,
-0.030239684507250786,
0.0013896820601075888,
0.029475955292582512,
-0.04480588436126709,
0.009674375876784325,
-0.04591263830661774,
0.021145237609744072,
-0.016068965196609497,
-0.06414658576250076,
0.08199990540742874,
0.03297898545861244,
-0.011727815493941307,
0.03320860490202904,
-0.11031324416399002,
-0.03677430748939514,
0.033119507133960724,
0.060768913477659225,
0.050461627542972565,
0.013309369795024395,
0.10940131545066833,
-0.020708762109279633,
0.02893066219985485,
0.12210002541542053,
0.00901100505143404,
-0.07123632729053497,
-0.10158094763755798,
0.017681803554296494,
0.012181010097265244,
-0.036076512187719345,
0.09223011881113052,
-0.08279988914728165,
-0.0035718970466405153,
0.047349490225315094,
0.013537563383579254,
0.009803970344364643,
-0.024792077019810677,
-0.006872639991343021,
0.044548146426677704,
0.017062773928046227,
-0.020681152120232582,
0.06621761620044708,
0.0722852572798729,
-0.055347830057144165,
0.0230732224881649,
-0.0236905999481678,
0.010142609477043152,
0.055257827043533325,
-0.022451337426900864,
-0.06269413977861404,
0.02368309162557125,
0.02618713676929474,
-0.03740863502025604,
-0.00748137291520834,
0.1156109943985939,
0.02028058096766472,
-0.012052485719323158,
-0.075510174036026,
-0.03630527853965759,
0.01974029652774334,
0.06599628925323486,
0.01911730319261551,
-0.047242432832717896,
-0.07857432961463928,
0.012259063310921192,
-0.05977482348680496,
-0.02126072347164154,
0.07120701670646667,
0.012529991567134857,
-0.055165570229291916,
0.016452280804514885,
0.008958462625741959,
0.013805263675749302,
0.004464515019208193,
0.0014722743071615696,
-0.009242650121450424,
-0.014148063026368618,
0.06103013455867767,
-0.05279293656349182,
0.03930812329053879,
0.09063658118247986,
-0.017581332474946976,
-0.021953115239739418,
0.05385872349143028,
0.06926479935646057,
-0.07875794172286987,
-0.0043296292424201965,
0.06674746423959732,
0.03923020511865616,
0.07529327273368835,
-0.0077878376469016075,
-0.07024727016687393,
-0.05271909385919571,
-0.017165623605251312,
0.12449934333562851,
-0.053634632378816605,
0.00956809800118208,
-0.0521024651825428,
0.017692113295197487,
0.027123454958200455,
0.049650177359580994,
-0.05997565761208534,
-0.027815265581011772,
-0.07537510991096497,
-4.1127998900253456e-34,
0.035228777676820755,
-0.0047292462550103664,
-0.010257112793624401,
0.029517104849219322,
-0.01807916723191738,
-0.04312065616250038,
0.047743577510118484,
-0.11192652583122253,
-0.08558686077594757,
-0.003868374740704894,
-0.023273462429642677,
-0.01953861489892006,
0.04178528115153313,
0.051849983632564545,
-0.015133683569729328,
-0.05047117918729782,
-0.050960421562194824,
-0.046888548880815506,
0.09537401050329208,
0.05264275521039963,
0.029803311452269554,
0.027533793821930885,
0.0185138788074255,
0.023795070126652718,
-0.06534884124994278,
-0.002347474917769432,
-0.014572407118976116,
-0.034291695803403854,
0.001465771347284317,
0.004091556649655104,
-0.0028511458076536655,
0.0761835053563118,
0.06350865960121155,
0.045259177684783936,
0.10870148241519928,
0.024875154718756676,
0.052250247448682785,
0.014951632358133793,
-0.012343491427600384,
-0.07753445953130722,
-0.007082898169755936,
-0.02543945424258709,
-0.017748190090060234,
0.11551939696073532,
0.038208458572626114,
-0.00875648483633995,
0.006519400514662266,
-0.0033495521638542414,
-0.02451859414577484,
-0.061138611286878586,
-0.05208299681544304,
-0.13628756999969482,
-0.009262381121516228,
0.04398711398243904,
0.017795134335756302,
-0.04473034292459488,
0.0027936960104852915,
0.040465328842401505,
0.036973416805267334,
-0.02471957542002201,
0.11645236611366272,
0.018709562718868256,
0.07782620936632156,
0.002319407183676958,
-0.018917866051197052,
-0.0035843350924551487,
-0.028729675337672234,
-0.002189090009778738,
-0.016905933618545532,
-0.06905794888734818,
0.027423931285738945,
0.04095928370952606,
-0.007922038435935974,
-0.032045360654592514,
0.08580572158098221,
-0.00885036587715149,
0.07542692124843597,
-0.06069779396057129,
-0.008088997565209866,
0.020212043076753616,
-0.037639275193214417,
-0.07939622551202774,
-0.06627300381660461,
0.00948424730449915,
-0.08456926047801971,
0.054251108318567276,
-0.06550943106412888,
-0.06540781259536743,
-0.13570334017276764,
0.0373503640294075,
0.07896324247121811,
-0.038409460335969925,
0.06262325495481491,
-0.008221127092838287,
-0.004539781715720892,
-3.310978203762674e-34,
0.016910947859287262,
-0.03445538133382797,
0.03161422908306122,
-0.01017284020781517,
0.08642701059579849,
-0.036955252289772034,
0.047644197940826416,
0.05921567976474762,
0.046606432646512985,
0.08370456099510193,
0.025887364521622658,
0.04740201681852341,
-0.07203126698732376,
0.003404669463634491,
-0.046070825308561325,
-0.0001993052865145728,
0.07707183063030243,
-0.0692797303199768,
0.019421853125095367,
-0.028890682384371758,
-0.06544418632984161,
-0.07927196472883224,
-0.00702666025608778,
-0.005333901848644018,
0.011959506198763847,
0.06670328229665756,
-0.013737301342189312,
0.10988788306713104,
-0.07363623380661011,
-0.011458933353424072,
0.07551803439855576,
0.04535453021526337,
-0.05845215171575546,
-0.04432467371225357,
-0.06427475810050964,
0.0625995323061943,
-0.022978926077485085,
-0.02317214198410511,
-0.001773944473825395,
-0.021781951189041138,
-0.012740747071802616,
-0.00247544446028769,
-0.043998148292303085,
0.030351335182785988,
0.055480267852544785,
0.04372680187225342,
-0.06415782868862152,
-0.024770038202404976,
-0.16425713896751404,
-0.04589966684579849,
-0.08868895471096039,
0.03758099302649498,
0.00790499523282051,
0.02316194586455822,
-0.04392212629318237,
0.1029067263007164,
-0.04955707862973213,
0.06854218989610672,
0.029263444244861603,
-0.0022680964320898056,
-0.033088404685258865,
0.01396958902478218,
0.06753604114055634,
-0.02236780896782875,
0.008716450072824955,
-0.008975770324468613,
0.06244456768035889,
-0.03918406367301941,
0.025476554408669472,
0.03820750489830971,
0.043920621275901794,
-0.0003216242475900799,
-0.09363499283790588,
-0.0081622414290905,
0.07554665952920914,
0.007657266221940517,
0.037442225962877274,
0.012860286049544811,
0.0030504781752824783,
0.015277279540896416,
-0.012162739410996437,
0.06892115622758865,
-0.002324460307136178,
-0.06255824863910675,
0.07028903812170029,
-0.04156550019979477,
0.010164686478674412,
0.03521190956234932,
-0.04432924464344978,
0.04497095197439194,
0.002435508882626891,
-0.10758299380540848,
0.049172114580869675,
-0.05206277221441269,
0.0351078100502491,
-3.906364298700282e-8,
-0.016690073534846306,
-0.014462346211075783,
0.018487103283405304,
-0.011408121325075626,
0.020303022116422653,
0.004657955374568701,
0.04931036755442619,
0.05303842946887016,
0.01832430809736252,
-0.0015857069520279765,
0.018460731953382492,
-0.10938029736280441,
-0.10724817961454391,
-0.0798444077372551,
0.03537794575095177,
0.07608435302972794,
-0.03135298937559128,
-0.00512942997738719,
-0.009221897460520267,
-0.03338344767689705,
0.030129343271255493,
-0.030781297013163567,
0.11010141670703888,
0.09481851011514664,
-0.004597564693540335,
-0.036689642816782,
-0.08944734930992126,
-0.05177362635731697,
0.017863880842924118,
0.00306421029381454,
0.07142671942710876,
-0.018273048102855682,
0.11160330474376678,
0.05221711844205856,
-0.09243214130401611,
-0.03446032479405403,
-0.08786885440349579,
-0.07680144906044006,
0.0014947897288948298,
0.024568889290094376,
-0.024016395211219788,
-0.01392342522740364,
0.06894317269325256,
0.010537049733102322,
-0.020262401551008224,
0.035934947431087494,
-0.001875988906249404,
0.06089423969388008,
0.016460441052913666,
0.08696898818016052,
0.021592164412140846,
0.03265607729554176,
-0.09141837060451508,
0.042784057557582855,
-0.04500257223844528,
-0.0332784540951252,
-0.02969794161617756,
0.03111240081489086,
0.010988474823534489,
0.06625788658857346,
-0.10108296573162079,
-0.010938501916825771,
-0.05819656327366829,
0.0137626389041543
] |
1402.2833
|
Sarah Becker
|
Sarah Becker, Bethany A. Frew, Gorm B. Andresen, Timo Zeyer, Stefan
Schramm, Martin Greiner, Mark Z. Jacobson
|
Features of a fully renewable US electricity system: Optimized mixes of
wind and solar PV and transmission grid extensions
|
19 pages, 18 figures
|
Energy 72, 443-458 (Aug 2014)
|
10.1016/j.energy.2014.05.067
| null |
physics.soc-ph cond-mat.dis-nn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Wind and solar PV generation data for the entire contiguous US are
calculated, on the basis of 32 years of weather data with temporal resolution
of one hour and spatial resolution of 40x40km$^2$, assuming
site-suitability-based as well as stochastic wind and solar PV capacity
distributions throughout the country. These data are used to investigate a
fully renewable electricity system, resting primarily upon wind and solar PV
power. We find that the seasonal optimal mix of wind and solar PV comes at
around 80% solar PV share, owing to the US summer load peak. By picking this
mix, long-term storage requirements can be more than halved compared to a wind
only mix. The daily optimal mix lies at about 80% wind share due to the nightly
gap in solar PV production. Picking this mix instead of solar only reduces
backup energy needs by about 50%. Furthermore, we calculate shifts in FERC
(Federal Energy Regulatory Commission)-level LCOE (Levelized Costs Of
Electricity) for wind and solar PV due to their differing resource quality and
fluctuation patterns. LCOE vary by up to 35% due to regional conditions, and
LCOE-optimal mixes turn out to largely follow resource quality. A transmission
network enhancement among FERC regions is constructed to transfer high
penetrations of solar and wind across FERC boundaries, based on a novel
least-cost optimization approach.
|
[
{
"created": "Wed, 12 Feb 2014 14:28:35 GMT",
"version": "v1"
}
] |
2014-07-29
|
[
[
"Becker",
"Sarah",
""
],
[
"Frew",
"Bethany A.",
""
],
[
"Andresen",
"Gorm B.",
""
],
[
"Zeyer",
"Timo",
""
],
[
"Schramm",
"Stefan",
""
],
[
"Greiner",
"Martin",
""
],
[
"Jacobson",
"Mark Z.",
""
]
] |
[
0.03802584111690521,
0.030500885099172592,
0.05214928463101387,
0.0625968873500824,
0.06596384197473526,
-0.006415304262191057,
-0.03517646715044975,
0.003399017732590437,
0.026258479803800583,
-0.028588972985744476,
-0.09957452118396759,
-0.000570943346247077,
0.07261820882558823,
-0.006915050093084574,
0.09033551067113876,
0.020934944972395897,
0.05076351389288902,
-0.029452349990606308,
0.011540829204022884,
0.06759921461343765,
0.025800220668315887,
-0.06633260101079941,
-0.002226767363026738,
-0.09607533365488052,
0.09016586095094681,
0.02864188887178898,
-0.06772451847791672,
-0.02539646252989769,
-0.035494301468133926,
0.008467607200145721,
-0.07765249162912369,
0.11838587373495102,
0.018211767077445984,
-0.011457344517111778,
-0.02448325976729393,
0.052339039742946625,
-0.0591164194047451,
-0.003471699543297291,
0.02017022669315338,
0.07352489233016968,
-0.03708100691437721,
-0.06582687795162201,
-0.025358594954013824,
0.0328223779797554,
-0.18162868916988373,
0.04957456514239311,
0.06861124187707901,
0.06945523619651794,
-0.011178800836205482,
0.029552485793828964,
0.03926948830485344,
0.050709281116724014,
-0.034312326461076736,
0.058769479393959045,
-0.03402433916926384,
0.023773187771439552,
0.041545651853084564,
0.0013626826694235206,
0.04689132794737816,
0.03324660286307335,
-0.05700390413403511,
-0.08884256333112717,
-0.06735029071569443,
0.016206666827201843,
0.01984953135251999,
-0.0186601709574461,
0.00704436469823122,
0.07044801115989685,
-0.04265774413943291,
-0.10780759900808334,
-0.06348676979541779,
0.03787778690457344,
-0.08140433579683304,
0.014826592057943344,
0.012851957231760025,
0.1163751557469368,
0.12243080884218216,
0.031205810606479645,
0.07050024718046188,
-0.07624654471874237,
0.01659560203552246,
0.09266030788421631,
-0.04234689101576805,
-0.05092645436525345,
0.04065197333693504,
0.017182303592562675,
0.02876313403248787,
0.03576315939426422,
-0.010819590650498867,
-0.061568792909383774,
0.013807403855025768,
0.07196082919836044,
-0.013245527632534504,
0.041863828897476196,
0.07761764526367188,
0.12434443831443787,
-0.004184089135378599,
-0.08561523258686066,
0.0015925699844956398,
0.02500288560986519,
0.07470379769802094,
0.018768763169646263,
0.05000115558505058,
-0.02595609240233898,
-0.0428512766957283,
-0.03902773931622505,
-0.0009633975569158792,
0.031778525561094284,
-0.06200322508811951,
-0.016068104654550552,
-0.027406880632042885,
0.07673656940460205,
-0.0075716604478657246,
-0.07163432240486145,
0.05463625490665436,
0.05081408843398094,
0.05977820232510567,
0.006113080773502588,
0.028625233098864555,
-0.03049302287399769,
0.016115302219986916,
-0.08978120982646942,
0.018910648301243782,
0.04132930934429169,
0.03605721518397331,
0.03813404589891434,
0.03294233977794647,
4.313441622853844e-33,
-0.025200430303812027,
0.06663314253091812,
0.03807814419269562,
-0.045892633497714996,
-0.02375849522650242,
0.06297212839126587,
0.033724039793014526,
0.010325178503990173,
0.0011803600937128067,
-0.03972713276743889,
-0.046739593148231506,
0.06592796742916107,
0.0024912485387176275,
0.07107295095920563,
0.0581132248044014,
-0.08335693180561066,
0.04145484417676926,
-0.012399507686495781,
0.09735571593046188,
-0.0528496578335762,
-0.005313428584486246,
-0.04877842962741852,
0.10064394026994705,
0.013845112174749374,
0.029603706672787666,
-0.1030278429389,
0.07586293667554855,
-0.034571971744298935,
0.007954091764986515,
0.013361000455915928,
0.009049329906702042,
-0.004602900706231594,
0.11173781007528305,
0.027722492814064026,
-0.01643413119018078,
-0.008991294540464878,
-0.0014659485314041376,
0.00010920906061073765,
-0.07111945748329163,
-0.02575724571943283,
-0.05396559089422226,
0.08676646649837494,
-0.005607632454484701,
0.007538651116192341,
-0.03225071728229523,
-0.06103666499257088,
0.09573579579591751,
-0.0331440232694149,
-0.12129146605730057,
0.050959277898073196,
0.010151147842407227,
0.09557690471410751,
-0.023982353508472443,
-0.10459981113672256,
-0.0017782775685191154,
0.0722770094871521,
0.0323699526488781,
-0.05277928709983826,
-0.0228982362896204,
0.01169542409479618,
-0.015328848734498024,
-0.0008799745119176805,
0.03097512759268284,
-0.01866689696907997,
0.019620608538389206,
0.01909671723842621,
-0.02016955055296421,
0.055780377238988876,
-0.012988235801458359,
-0.02967107482254505,
0.06154340133070946,
-0.0913291722536087,
0.06209426000714302,
0.0054277703166007996,
0.05358187109231949,
-0.028529644012451172,
0.010968758724629879,
0.012119407765567303,
-0.016299517825245857,
-0.004151074215769768,
-0.11572922766208649,
0.03799682855606079,
-0.002183689968660474,
-0.0629473626613617,
-0.04047520458698273,
-0.09728216379880905,
-0.014413815923035145,
0.0164896622300148,
-0.099772609770298,
-0.05005686730146408,
0.009751318953931332,
-0.0022049229592084885,
0.09746557474136353,
0.017418604344129562,
0.019280599430203438,
-5.4264187759955866e-33,
-0.03848162293434143,
0.04210472106933594,
-0.0037608935963362455,
-0.051263317465782166,
-0.06175989285111427,
-0.020634712651371956,
-0.017623111605644226,
-0.03259702026844025,
-0.00667883874848485,
0.02800585702061653,
-0.03822798654437065,
-0.024802034720778465,
0.0034355786629021168,
-0.05546524003148079,
-0.014305348508059978,
-0.031423088163137436,
-0.015688247978687286,
-0.013292940333485603,
-0.061875369399785995,
0.015517983585596085,
0.03160986304283142,
0.020747587084770203,
-0.01850520633161068,
0.0359988771378994,
0.04786377027630806,
-0.01592487469315529,
-0.036098793148994446,
0.03865077719092369,
0.031041275709867477,
0.021867312490940094,
-0.04760226607322693,
-0.03807273879647255,
-0.007815495133399963,
0.0034882465843111277,
0.006851550657302141,
0.010322990827262402,
0.018014807254076004,
-0.019444983452558517,
-0.006879128515720367,
0.025878343731164932,
0.025303395465016365,
-0.10224838554859161,
0.0018728208960965276,
-0.0567467138171196,
0.0012067864881828427,
-0.050744276493787766,
-0.0321534126996994,
-0.011912734247744083,
0.022859621793031693,
-0.008411729708313942,
0.016400102525949478,
0.036134280264377594,
-0.1289985179901123,
0.00696784071624279,
0.030489349737763405,
-0.012982298620045185,
-0.004704693797975779,
0.09892324358224869,
-0.12651219964027405,
-0.05534163489937782,
0.011357425712049007,
-0.027688631787896156,
0.013251267373561859,
0.014483809471130371,
0.024285098537802696,
-0.021043751388788223,
0.02918880619108677,
-0.057245612144470215,
0.010259727016091347,
0.0036837251391261816,
-0.03847070410847664,
-0.017565716058015823,
-0.022543320432305336,
-0.0351913720369339,
-0.0009228924755007029,
0.04171391576528549,
0.07815507799386978,
0.01103183999657631,
-0.05025592818856239,
0.05820237100124359,
-0.12465284764766693,
0.05457527935504913,
-0.10779178887605667,
-0.06939796358346939,
-0.01996391825377941,
-0.11091861128807068,
-0.0007325680344365537,
-0.14960996806621552,
0.00747696915641427,
0.057540759444236755,
-0.07440128922462463,
-0.009522400796413422,
-0.0748441070318222,
0.04084586724638939,
-0.02551744319498539,
-5.227006383279331e-8,
-0.00028591780574060977,
0.020262746140360832,
-0.000947357970289886,
-0.06045416742563248,
-0.006657822523266077,
-0.051789961755275726,
0.028840694576501846,
-0.028448402881622314,
0.002758697373792529,
0.024858463555574417,
0.12506206333637238,
-0.00034388378844596446,
0.07847096771001816,
-0.08757123351097107,
-0.0472538024187088,
-0.028984487056732178,
0.009638670831918716,
0.03329350799322128,
-0.017898401245474815,
0.012678113766014576,
0.005538218189030886,
0.009359925985336304,
-0.025992944836616516,
0.04550923779606819,
0.11175785213708878,
-0.042538005858659744,
0.01744036376476288,
0.03294356167316437,
0.05961397662758827,
-0.015669381245970726,
0.04332580417394638,
-0.014986242167651653,
0.014577381312847137,
-0.069191113114357,
-0.0600336454808712,
0.0536532886326313,
-0.050822000950574875,
0.004482930060476065,
-0.01231678482145071,
0.10150554776191711,
0.08809395134449005,
-0.003353954292833805,
-0.00016722390137147158,
-0.007614013273268938,
0.02729453705251217,
0.01596241444349289,
-0.0691680982708931,
0.0017259928863495588,
0.029015880078077316,
0.01907532662153244,
-0.06293853372335434,
0.00944635458290577,
0.003966894466429949,
0.020124295726418495,
0.0936230793595314,
0.03547191619873047,
-0.10052646696567535,
-0.01315546128898859,
0.02363235503435135,
-0.013501404784619808,
-0.018124571070075035,
-0.010761992074549198,
-0.11643841117620468,
-0.015037260949611664
] | null | null | null | null | null | null | null |
[
0.03802584111690521,
0.030500885099172592,
0.05214928463101387,
0.0625968873500824,
0.06596384197473526,
-0.006415304262191057,
-0.03517646715044975,
0.003399017732590437,
0.026258479803800583,
-0.028588972985744476,
-0.09957452118396759,
-0.000570943346247077,
0.07261820882558823,
-0.006915050093084574,
0.09033551067113876,
0.020934944972395897,
0.05076351389288902,
-0.029452349990606308,
0.011540829204022884,
0.06759921461343765,
0.025800220668315887,
-0.06633260101079941,
-0.002226767363026738,
-0.09607533365488052,
0.09016586095094681,
0.02864188887178898,
-0.06772451847791672,
-0.02539646252989769,
-0.035494301468133926,
0.008467607200145721,
-0.07765249162912369,
0.11838587373495102,
0.018211767077445984,
-0.011457344517111778,
-0.02448325976729393,
0.052339039742946625,
-0.0591164194047451,
-0.003471699543297291,
0.02017022669315338,
0.07352489233016968,
-0.03708100691437721,
-0.06582687795162201,
-0.025358594954013824,
0.0328223779797554,
-0.18162868916988373,
0.04957456514239311,
0.06861124187707901,
0.06945523619651794,
-0.011178800836205482,
0.029552485793828964,
0.03926948830485344,
0.050709281116724014,
-0.034312326461076736,
0.058769479393959045,
-0.03402433916926384,
0.023773187771439552,
0.041545651853084564,
0.0013626826694235206,
0.04689132794737816,
0.03324660286307335,
-0.05700390413403511,
-0.08884256333112717,
-0.06735029071569443,
0.016206666827201843,
0.01984953135251999,
-0.0186601709574461,
0.00704436469823122,
0.07044801115989685,
-0.04265774413943291,
-0.10780759900808334,
-0.06348676979541779,
0.03787778690457344,
-0.08140433579683304,
0.014826592057943344,
0.012851957231760025,
0.1163751557469368,
0.12243080884218216,
0.031205810606479645,
0.07050024718046188,
-0.07624654471874237,
0.01659560203552246,
0.09266030788421631,
-0.04234689101576805,
-0.05092645436525345,
0.04065197333693504,
0.017182303592562675,
0.02876313403248787,
0.03576315939426422,
-0.010819590650498867,
-0.061568792909383774,
0.013807403855025768,
0.07196082919836044,
-0.013245527632534504,
0.041863828897476196,
0.07761764526367188,
0.12434443831443787,
-0.004184089135378599,
-0.08561523258686066,
0.0015925699844956398,
0.02500288560986519,
0.07470379769802094,
0.018768763169646263,
0.05000115558505058,
-0.02595609240233898,
-0.0428512766957283,
-0.03902773931622505,
-0.0009633975569158792,
0.031778525561094284,
-0.06200322508811951,
-0.016068104654550552,
-0.027406880632042885,
0.07673656940460205,
-0.0075716604478657246,
-0.07163432240486145,
0.05463625490665436,
0.05081408843398094,
0.05977820232510567,
0.006113080773502588,
0.028625233098864555,
-0.03049302287399769,
0.016115302219986916,
-0.08978120982646942,
0.018910648301243782,
0.04132930934429169,
0.03605721518397331,
0.03813404589891434,
0.03294233977794647,
4.313441622853844e-33,
-0.025200430303812027,
0.06663314253091812,
0.03807814419269562,
-0.045892633497714996,
-0.02375849522650242,
0.06297212839126587,
0.033724039793014526,
0.010325178503990173,
0.0011803600937128067,
-0.03972713276743889,
-0.046739593148231506,
0.06592796742916107,
0.0024912485387176275,
0.07107295095920563,
0.0581132248044014,
-0.08335693180561066,
0.04145484417676926,
-0.012399507686495781,
0.09735571593046188,
-0.0528496578335762,
-0.005313428584486246,
-0.04877842962741852,
0.10064394026994705,
0.013845112174749374,
0.029603706672787666,
-0.1030278429389,
0.07586293667554855,
-0.034571971744298935,
0.007954091764986515,
0.013361000455915928,
0.009049329906702042,
-0.004602900706231594,
0.11173781007528305,
0.027722492814064026,
-0.01643413119018078,
-0.008991294540464878,
-0.0014659485314041376,
0.00010920906061073765,
-0.07111945748329163,
-0.02575724571943283,
-0.05396559089422226,
0.08676646649837494,
-0.005607632454484701,
0.007538651116192341,
-0.03225071728229523,
-0.06103666499257088,
0.09573579579591751,
-0.0331440232694149,
-0.12129146605730057,
0.050959277898073196,
0.010151147842407227,
0.09557690471410751,
-0.023982353508472443,
-0.10459981113672256,
-0.0017782775685191154,
0.0722770094871521,
0.0323699526488781,
-0.05277928709983826,
-0.0228982362896204,
0.01169542409479618,
-0.015328848734498024,
-0.0008799745119176805,
0.03097512759268284,
-0.01866689696907997,
0.019620608538389206,
0.01909671723842621,
-0.02016955055296421,
0.055780377238988876,
-0.012988235801458359,
-0.02967107482254505,
0.06154340133070946,
-0.0913291722536087,
0.06209426000714302,
0.0054277703166007996,
0.05358187109231949,
-0.028529644012451172,
0.010968758724629879,
0.012119407765567303,
-0.016299517825245857,
-0.004151074215769768,
-0.11572922766208649,
0.03799682855606079,
-0.002183689968660474,
-0.0629473626613617,
-0.04047520458698273,
-0.09728216379880905,
-0.014413815923035145,
0.0164896622300148,
-0.099772609770298,
-0.05005686730146408,
0.009751318953931332,
-0.0022049229592084885,
0.09746557474136353,
0.017418604344129562,
0.019280599430203438,
-5.4264187759955866e-33,
-0.03848162293434143,
0.04210472106933594,
-0.0037608935963362455,
-0.051263317465782166,
-0.06175989285111427,
-0.020634712651371956,
-0.017623111605644226,
-0.03259702026844025,
-0.00667883874848485,
0.02800585702061653,
-0.03822798654437065,
-0.024802034720778465,
0.0034355786629021168,
-0.05546524003148079,
-0.014305348508059978,
-0.031423088163137436,
-0.015688247978687286,
-0.013292940333485603,
-0.061875369399785995,
0.015517983585596085,
0.03160986304283142,
0.020747587084770203,
-0.01850520633161068,
0.0359988771378994,
0.04786377027630806,
-0.01592487469315529,
-0.036098793148994446,
0.03865077719092369,
0.031041275709867477,
0.021867312490940094,
-0.04760226607322693,
-0.03807273879647255,
-0.007815495133399963,
0.0034882465843111277,
0.006851550657302141,
0.010322990827262402,
0.018014807254076004,
-0.019444983452558517,
-0.006879128515720367,
0.025878343731164932,
0.025303395465016365,
-0.10224838554859161,
0.0018728208960965276,
-0.0567467138171196,
0.0012067864881828427,
-0.050744276493787766,
-0.0321534126996994,
-0.011912734247744083,
0.022859621793031693,
-0.008411729708313942,
0.016400102525949478,
0.036134280264377594,
-0.1289985179901123,
0.00696784071624279,
0.030489349737763405,
-0.012982298620045185,
-0.004704693797975779,
0.09892324358224869,
-0.12651219964027405,
-0.05534163489937782,
0.011357425712049007,
-0.027688631787896156,
0.013251267373561859,
0.014483809471130371,
0.024285098537802696,
-0.021043751388788223,
0.02918880619108677,
-0.057245612144470215,
0.010259727016091347,
0.0036837251391261816,
-0.03847070410847664,
-0.017565716058015823,
-0.022543320432305336,
-0.0351913720369339,
-0.0009228924755007029,
0.04171391576528549,
0.07815507799386978,
0.01103183999657631,
-0.05025592818856239,
0.05820237100124359,
-0.12465284764766693,
0.05457527935504913,
-0.10779178887605667,
-0.06939796358346939,
-0.01996391825377941,
-0.11091861128807068,
-0.0007325680344365537,
-0.14960996806621552,
0.00747696915641427,
0.057540759444236755,
-0.07440128922462463,
-0.009522400796413422,
-0.0748441070318222,
0.04084586724638939,
-0.02551744319498539,
-5.227006383279331e-8,
-0.00028591780574060977,
0.020262746140360832,
-0.000947357970289886,
-0.06045416742563248,
-0.006657822523266077,
-0.051789961755275726,
0.028840694576501846,
-0.028448402881622314,
0.002758697373792529,
0.024858463555574417,
0.12506206333637238,
-0.00034388378844596446,
0.07847096771001816,
-0.08757123351097107,
-0.0472538024187088,
-0.028984487056732178,
0.009638670831918716,
0.03329350799322128,
-0.017898401245474815,
0.012678113766014576,
0.005538218189030886,
0.009359925985336304,
-0.025992944836616516,
0.04550923779606819,
0.11175785213708878,
-0.042538005858659744,
0.01744036376476288,
0.03294356167316437,
0.05961397662758827,
-0.015669381245970726,
0.04332580417394638,
-0.014986242167651653,
0.014577381312847137,
-0.069191113114357,
-0.0600336454808712,
0.0536532886326313,
-0.050822000950574875,
0.004482930060476065,
-0.01231678482145071,
0.10150554776191711,
0.08809395134449005,
-0.003353954292833805,
-0.00016722390137147158,
-0.007614013273268938,
0.02729453705251217,
0.01596241444349289,
-0.0691680982708931,
0.0017259928863495588,
0.029015880078077316,
0.01907532662153244,
-0.06293853372335434,
0.00944635458290577,
0.003966894466429949,
0.020124295726418495,
0.0936230793595314,
0.03547191619873047,
-0.10052646696567535,
-0.01315546128898859,
0.02363235503435135,
-0.013501404784619808,
-0.018124571070075035,
-0.010761992074549198,
-0.11643841117620468,
-0.015037260949611664
] |
1402.2836
|
Martin Erdmann H
|
Martin Erdmann, Robert Fischer, Christian Glaser, Dennis Klingebiel,
Raphael Krause, Daniel Kuempel, Gero Mueller, Marcel Rieger, Jan Steggemann,
Martin Urban, David Walz, Klaus Weidenhaupt, Tobias Winchen, Birgitta
Weltermann
|
A field study of data analysis exercises in a bachelor physics course
using the internet platform VISPA
|
21 pages, 8 figures, 1 table, for the internet platform VISPA see
http://vispa.physik.rwth-aachen.de
|
Eur. J. Phys. 35 (2014) 035018
|
10.1088/0143-0807/35/3/035018
| null |
physics.ed-ph astro-ph.HE hep-ex
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Bachelor physics lectures on particle physics and astrophysics were
complemented by exercises related to data analysis and data interpretation at
the RWTH Aachen University recently. The students performed these exercises
using the internet platform VISPA, which provides a development environment for
physics data analyses. We describe the platform and its application within the
physics course, and present the results of a student survey. The students
acceptance of the learning project was positive. The level of acceptance was
related to their individual preference for learning with a computer.
Furthermore, students with good programming skills favor working individually,
while students who attribute themselves having low programming abilities favor
working in teams. The students appreciated approaching actual research through
the data analysis tasks.
|
[
{
"created": "Wed, 12 Feb 2014 14:31:30 GMT",
"version": "v1"
}
] |
2014-04-08
|
[
[
"Erdmann",
"Martin",
""
],
[
"Fischer",
"Robert",
""
],
[
"Glaser",
"Christian",
""
],
[
"Klingebiel",
"Dennis",
""
],
[
"Krause",
"Raphael",
""
],
[
"Kuempel",
"Daniel",
""
],
[
"Mueller",
"Gero",
""
],
[
"Rieger",
"Marcel",
""
],
[
"Steggemann",
"Jan",
""
],
[
"Urban",
"Martin",
""
],
[
"Walz",
"David",
""
],
[
"Weidenhaupt",
"Klaus",
""
],
[
"Winchen",
"Tobias",
""
],
[
"Weltermann",
"Birgitta",
""
]
] |
[
-0.02215331606566906,
0.030692486092448235,
-0.001421426422894001,
0.031338777393102646,
-0.05381755158305168,
-0.11315865069627762,
-0.018054215237498283,
0.032880086451768875,
-0.04097415506839752,
0.0035252640955150127,
0.04899119958281517,
-0.04490333050489426,
-0.04167143255472183,
-0.007597682066261768,
0.046369411051273346,
-0.00495998514816165,
-0.020923743024468422,
-0.02156083472073078,
0.027934212237596512,
-0.1086464524269104,
-0.08450257778167725,
-0.03836297616362572,
0.008883972652256489,
0.033420998603105545,
0.05538380518555641,
0.09505187720060349,
0.003782205283641815,
-0.014403976500034332,
0.03985628858208656,
-0.015005654655396938,
-0.04401697218418121,
0.0360906757414341,
-0.020058372989296913,
0.09464536607265472,
-0.03315777704119682,
0.004914321005344391,
-0.02980525977909565,
0.004703102633357048,
-0.06010712683200836,
0.031219685450196266,
-0.1181645318865776,
-0.01904263347387314,
0.028069626539945602,
-0.009145827032625675,
0.04549546539783478,
-0.041135530918836594,
-0.032940641045570374,
-0.10049185901880264,
0.05374908447265625,
0.058500245213508606,
-0.08275116235017776,
-0.07667140662670135,
-0.02438492886722088,
-0.0002692145062610507,
0.009768134914338589,
0.00036433327477425337,
0.06440802663564682,
-0.044261325150728226,
0.03115878440439701,
-0.0671292096376419,
-0.023267177864909172,
-0.02201768569648266,
-0.059137508273124695,
0.03547296300530434,
-0.007592556066811085,
-0.027033543214201927,
-0.03250141069293022,
0.10851958394050598,
0.07714765518903732,
-0.005507707130163908,
-0.059867218136787415,
0.03985324501991272,
-0.088045135140419,
0.059063222259283066,
0.01726682484149933,
-0.03601895645260811,
-0.03319423273205757,
0.03692673519253731,
0.14353704452514648,
0.017766177654266357,
-0.007466580718755722,
-0.008687842637300491,
-0.0760127380490303,
0.07122503966093063,
0.027831612154841423,
-0.024051282554864883,
0.018688051030039787,
0.07941272854804993,
-0.009630543179810047,
-0.05341338738799095,
0.07420068234205246,
0.027425525709986687,
0.010095491074025631,
0.07314925640821457,
0.032202452421188354,
0.041965436190366745,
0.03873420134186745,
-0.08242856711149216,
0.04923795163631439,
0.04060058668255806,
-0.029338523745536804,
0.09189090132713318,
-0.03851752355694771,
0.10866605490446091,
-0.12126357108354568,
-0.02634568326175213,
0.09358346462249756,
-0.03987262025475502,
0.07385452836751938,
-0.02558557502925396,
0.0031324124429374933,
-0.051919225603342056,
-0.05416610836982727,
-0.06600221246480942,
0.009552832692861557,
-0.01538835745304823,
0.02499222382903099,
0.05713650584220886,
-0.06140359863638878,
0.05846654996275902,
0.008283706381917,
0.01746496930718422,
0.05650543421506882,
0.02157076820731163,
0.06054875999689102,
-0.12073253095149994,
-0.05379820987582207,
1.639560051401741e-33,
0.04805128276348114,
-0.03427329659461975,
-0.0005816217744722962,
-0.026786968111991882,
0.02376379631459713,
-0.06875241547822952,
0.016596872359514236,
0.05279609560966492,
-0.05228223651647568,
0.02037525735795498,
-0.016175689175724983,
0.10206875205039978,
0.026530642062425613,
0.02471320517361164,
0.1076931431889534,
-0.02530890703201294,
-0.010695183649659157,
0.0382402241230011,
-0.06456020474433899,
0.014636307954788208,
0.012322554364800453,
-0.06728235632181168,
0.053925901651382446,
-0.01437171921133995,
0.0033422214910387993,
0.06042380630970001,
-0.054889824241399765,
0.024985287338495255,
0.059475548565387726,
0.009395293891429901,
0.04671202972531319,
-0.02171517349779606,
-0.1079573929309845,
0.03609844297170639,
-0.015707911923527718,
0.0017944002756848931,
0.004444553516805172,
-0.047082170844078064,
0.040588922798633575,
-0.009074836038053036,
0.04487049952149391,
0.015605717897415161,
0.026668060570955276,
-0.06051506847143173,
-0.05461590737104416,
0.04806724563241005,
0.1025017574429512,
-0.008391168899834156,
0.07652655988931656,
-0.00819780956953764,
-0.05498416721820831,
-0.03565698862075806,
-0.008297823369503021,
-0.007067800033837557,
0.035776957869529724,
0.05751291289925575,
0.029729017987847328,
-0.004131477326154709,
-0.06163458153605461,
0.016272807493805885,
-0.05177765339612961,
0.10137276351451874,
0.04364932328462601,
-0.08390694111585617,
-0.10337546467781067,
0.015140463598072529,
-0.06745094805955887,
0.014445945620536804,
0.053091391921043396,
0.02353338524699211,
-0.10381346940994263,
0.006474672816693783,
-0.028740637004375458,
-0.07263124734163284,
0.022248348221182823,
-0.01631445623934269,
-0.030121443793177605,
-0.009344796650111675,
-0.025220900774002075,
0.036611851304769516,
0.014758837409317493,
-0.11140762269496918,
0.08524614572525024,
-0.08035559207201004,
-0.0351068489253521,
-0.028248826041817665,
-0.015847740694880486,
-0.057328179478645325,
0.01729990728199482,
-0.06030554696917534,
-0.06018783897161484,
0.030599793419241905,
0.011124400421977043,
0.050211500376462936,
-0.0135560417547822,
-3.1358772999481553e-33,
-0.06339169293642044,
0.04426758736371994,
-0.08525712788105011,
0.08226900547742844,
0.05726377293467522,
0.08709131926298141,
-0.017564885318279266,
-0.07134906947612762,
0.028765754774212837,
0.015012355521321297,
0.003156752558425069,
-0.0133201964199543,
-0.04890340566635132,
-0.014151851646602154,
0.027559824287891388,
0.032621294260025024,
-0.07954300194978714,
-0.0251136664301157,
-0.09727609157562256,
0.020175796002149582,
-0.069051094353199,
0.10015206038951874,
-0.031545963138341904,
-0.0693812444806099,
0.0028267630841583014,
-0.012230867519974709,
0.08615881949663162,
-0.1324886679649353,
0.05243128538131714,
0.036767296493053436,
0.019795075058937073,
-0.057245172560214996,
-0.05347199738025665,
-0.020542288199067116,
0.02262016199529171,
-0.039604268968105316,
0.08617810904979706,
0.04815865680575371,
0.017069632187485695,
0.05147461220622063,
0.061584390699863434,
0.06447047740221024,
0.003122571390122175,
-0.040516406297683716,
0.027431774884462357,
0.009092383086681366,
0.001758246566168964,
0.10281125456094742,
-0.03249321132898331,
0.01492187287658453,
0.04066886007785797,
-0.01962541975080967,
0.07645489275455475,
-0.014850921928882599,
0.015070284716784954,
0.01764863170683384,
0.07388272881507874,
0.010531589388847351,
-0.010847076773643494,
-0.00023625310859642923,
-0.05694478377699852,
-0.09638682007789612,
0.09070487320423126,
0.09689264744520187,
-0.057746052742004395,
-0.07174099236726761,
-0.07675085961818695,
0.08018887788057327,
-0.06174888834357262,
-0.048521604388952255,
-0.020798981189727783,
-0.02120690792798996,
-0.0010153638431802392,
-0.009344588033854961,
0.039746854454278946,
-0.0167826097458601,
-0.0010467624524608254,
0.015307174064218998,
0.020358888432383537,
0.054828617721796036,
0.06839726865291595,
0.055811572819948196,
0.06687918305397034,
0.03865153715014458,
0.01428153458982706,
-0.012247269041836262,
-0.023666463792324066,
-0.0076379841193556786,
0.010753463953733444,
0.0015856479294598103,
-0.07811116427183151,
0.014376992359757423,
0.024117587134242058,
0.032141558825969696,
0.02460246905684471,
-4.1457592914184715e-8,
0.023633861914277077,
-0.08152911067008972,
0.028586851432919502,
0.03089812584221363,
-0.030842293053865433,
0.033919740468263626,
-0.049838654696941376,
0.023398669436573982,
-0.057836294174194336,
0.062230829149484634,
0.07364104688167572,
-0.01632722094655037,
-0.08707831799983978,
-0.013132547028362751,
0.016559632495045662,
0.0816401019692421,
0.03904613479971886,
-0.05202570930123329,
0.0005225365166552365,
0.013866563327610493,
0.11087501049041748,
-0.02579747699201107,
0.023932768031954765,
0.012245791032910347,
0.006954588927328587,
0.009843176230788231,
0.005706308875232935,
0.049728214740753174,
-0.07324359565973282,
-0.0933329313993454,
-0.03260144218802452,
-0.01630958914756775,
0.04182664677500725,
-0.07375279068946838,
0.07240243256092072,
-0.006596881430596113,
0.04025597497820854,
-0.00949909258633852,
0.033630311489105225,
0.05808238685131073,
-0.06902482360601425,
0.050572171807289124,
0.030528848990797997,
0.00810936652123928,
0.030979519709944725,
0.0699472427368164,
-0.04364650323987007,
-0.04325851425528526,
0.03668595850467682,
0.04222717136144638,
0.003586316481232643,
0.0199879240244627,
-0.04949411377310753,
-0.03723563253879547,
-0.007365931291133165,
0.07796591520309448,
-0.08505445718765259,
-0.035775382071733475,
-0.026464996859431267,
0.0019251067424193025,
0.06471284478902817,
0.049768682569265366,
-0.07740943878889084,
-0.013216803781688213
] | null | null | null | null | null | null | null |
[
-0.02215331606566906,
0.030692486092448235,
-0.001421426422894001,
0.031338777393102646,
-0.05381755158305168,
-0.11315865069627762,
-0.018054215237498283,
0.032880086451768875,
-0.04097415506839752,
0.0035252640955150127,
0.04899119958281517,
-0.04490333050489426,
-0.04167143255472183,
-0.007597682066261768,
0.046369411051273346,
-0.00495998514816165,
-0.020923743024468422,
-0.02156083472073078,
0.027934212237596512,
-0.1086464524269104,
-0.08450257778167725,
-0.03836297616362572,
0.008883972652256489,
0.033420998603105545,
0.05538380518555641,
0.09505187720060349,
0.003782205283641815,
-0.014403976500034332,
0.03985628858208656,
-0.015005654655396938,
-0.04401697218418121,
0.0360906757414341,
-0.020058372989296913,
0.09464536607265472,
-0.03315777704119682,
0.004914321005344391,
-0.02980525977909565,
0.004703102633357048,
-0.06010712683200836,
0.031219685450196266,
-0.1181645318865776,
-0.01904263347387314,
0.028069626539945602,
-0.009145827032625675,
0.04549546539783478,
-0.041135530918836594,
-0.032940641045570374,
-0.10049185901880264,
0.05374908447265625,
0.058500245213508606,
-0.08275116235017776,
-0.07667140662670135,
-0.02438492886722088,
-0.0002692145062610507,
0.009768134914338589,
0.00036433327477425337,
0.06440802663564682,
-0.044261325150728226,
0.03115878440439701,
-0.0671292096376419,
-0.023267177864909172,
-0.02201768569648266,
-0.059137508273124695,
0.03547296300530434,
-0.007592556066811085,
-0.027033543214201927,
-0.03250141069293022,
0.10851958394050598,
0.07714765518903732,
-0.005507707130163908,
-0.059867218136787415,
0.03985324501991272,
-0.088045135140419,
0.059063222259283066,
0.01726682484149933,
-0.03601895645260811,
-0.03319423273205757,
0.03692673519253731,
0.14353704452514648,
0.017766177654266357,
-0.007466580718755722,
-0.008687842637300491,
-0.0760127380490303,
0.07122503966093063,
0.027831612154841423,
-0.024051282554864883,
0.018688051030039787,
0.07941272854804993,
-0.009630543179810047,
-0.05341338738799095,
0.07420068234205246,
0.027425525709986687,
0.010095491074025631,
0.07314925640821457,
0.032202452421188354,
0.041965436190366745,
0.03873420134186745,
-0.08242856711149216,
0.04923795163631439,
0.04060058668255806,
-0.029338523745536804,
0.09189090132713318,
-0.03851752355694771,
0.10866605490446091,
-0.12126357108354568,
-0.02634568326175213,
0.09358346462249756,
-0.03987262025475502,
0.07385452836751938,
-0.02558557502925396,
0.0031324124429374933,
-0.051919225603342056,
-0.05416610836982727,
-0.06600221246480942,
0.009552832692861557,
-0.01538835745304823,
0.02499222382903099,
0.05713650584220886,
-0.06140359863638878,
0.05846654996275902,
0.008283706381917,
0.01746496930718422,
0.05650543421506882,
0.02157076820731163,
0.06054875999689102,
-0.12073253095149994,
-0.05379820987582207,
1.639560051401741e-33,
0.04805128276348114,
-0.03427329659461975,
-0.0005816217744722962,
-0.026786968111991882,
0.02376379631459713,
-0.06875241547822952,
0.016596872359514236,
0.05279609560966492,
-0.05228223651647568,
0.02037525735795498,
-0.016175689175724983,
0.10206875205039978,
0.026530642062425613,
0.02471320517361164,
0.1076931431889534,
-0.02530890703201294,
-0.010695183649659157,
0.0382402241230011,
-0.06456020474433899,
0.014636307954788208,
0.012322554364800453,
-0.06728235632181168,
0.053925901651382446,
-0.01437171921133995,
0.0033422214910387993,
0.06042380630970001,
-0.054889824241399765,
0.024985287338495255,
0.059475548565387726,
0.009395293891429901,
0.04671202972531319,
-0.02171517349779606,
-0.1079573929309845,
0.03609844297170639,
-0.015707911923527718,
0.0017944002756848931,
0.004444553516805172,
-0.047082170844078064,
0.040588922798633575,
-0.009074836038053036,
0.04487049952149391,
0.015605717897415161,
0.026668060570955276,
-0.06051506847143173,
-0.05461590737104416,
0.04806724563241005,
0.1025017574429512,
-0.008391168899834156,
0.07652655988931656,
-0.00819780956953764,
-0.05498416721820831,
-0.03565698862075806,
-0.008297823369503021,
-0.007067800033837557,
0.035776957869529724,
0.05751291289925575,
0.029729017987847328,
-0.004131477326154709,
-0.06163458153605461,
0.016272807493805885,
-0.05177765339612961,
0.10137276351451874,
0.04364932328462601,
-0.08390694111585617,
-0.10337546467781067,
0.015140463598072529,
-0.06745094805955887,
0.014445945620536804,
0.053091391921043396,
0.02353338524699211,
-0.10381346940994263,
0.006474672816693783,
-0.028740637004375458,
-0.07263124734163284,
0.022248348221182823,
-0.01631445623934269,
-0.030121443793177605,
-0.009344796650111675,
-0.025220900774002075,
0.036611851304769516,
0.014758837409317493,
-0.11140762269496918,
0.08524614572525024,
-0.08035559207201004,
-0.0351068489253521,
-0.028248826041817665,
-0.015847740694880486,
-0.057328179478645325,
0.01729990728199482,
-0.06030554696917534,
-0.06018783897161484,
0.030599793419241905,
0.011124400421977043,
0.050211500376462936,
-0.0135560417547822,
-3.1358772999481553e-33,
-0.06339169293642044,
0.04426758736371994,
-0.08525712788105011,
0.08226900547742844,
0.05726377293467522,
0.08709131926298141,
-0.017564885318279266,
-0.07134906947612762,
0.028765754774212837,
0.015012355521321297,
0.003156752558425069,
-0.0133201964199543,
-0.04890340566635132,
-0.014151851646602154,
0.027559824287891388,
0.032621294260025024,
-0.07954300194978714,
-0.0251136664301157,
-0.09727609157562256,
0.020175796002149582,
-0.069051094353199,
0.10015206038951874,
-0.031545963138341904,
-0.0693812444806099,
0.0028267630841583014,
-0.012230867519974709,
0.08615881949663162,
-0.1324886679649353,
0.05243128538131714,
0.036767296493053436,
0.019795075058937073,
-0.057245172560214996,
-0.05347199738025665,
-0.020542288199067116,
0.02262016199529171,
-0.039604268968105316,
0.08617810904979706,
0.04815865680575371,
0.017069632187485695,
0.05147461220622063,
0.061584390699863434,
0.06447047740221024,
0.003122571390122175,
-0.040516406297683716,
0.027431774884462357,
0.009092383086681366,
0.001758246566168964,
0.10281125456094742,
-0.03249321132898331,
0.01492187287658453,
0.04066886007785797,
-0.01962541975080967,
0.07645489275455475,
-0.014850921928882599,
0.015070284716784954,
0.01764863170683384,
0.07388272881507874,
0.010531589388847351,
-0.010847076773643494,
-0.00023625310859642923,
-0.05694478377699852,
-0.09638682007789612,
0.09070487320423126,
0.09689264744520187,
-0.057746052742004395,
-0.07174099236726761,
-0.07675085961818695,
0.08018887788057327,
-0.06174888834357262,
-0.048521604388952255,
-0.020798981189727783,
-0.02120690792798996,
-0.0010153638431802392,
-0.009344588033854961,
0.039746854454278946,
-0.0167826097458601,
-0.0010467624524608254,
0.015307174064218998,
0.020358888432383537,
0.054828617721796036,
0.06839726865291595,
0.055811572819948196,
0.06687918305397034,
0.03865153715014458,
0.01428153458982706,
-0.012247269041836262,
-0.023666463792324066,
-0.0076379841193556786,
0.010753463953733444,
0.0015856479294598103,
-0.07811116427183151,
0.014376992359757423,
0.024117587134242058,
0.032141558825969696,
0.02460246905684471,
-4.1457592914184715e-8,
0.023633861914277077,
-0.08152911067008972,
0.028586851432919502,
0.03089812584221363,
-0.030842293053865433,
0.033919740468263626,
-0.049838654696941376,
0.023398669436573982,
-0.057836294174194336,
0.062230829149484634,
0.07364104688167572,
-0.01632722094655037,
-0.08707831799983978,
-0.013132547028362751,
0.016559632495045662,
0.0816401019692421,
0.03904613479971886,
-0.05202570930123329,
0.0005225365166552365,
0.013866563327610493,
0.11087501049041748,
-0.02579747699201107,
0.023932768031954765,
0.012245791032910347,
0.006954588927328587,
0.009843176230788231,
0.005706308875232935,
0.049728214740753174,
-0.07324359565973282,
-0.0933329313993454,
-0.03260144218802452,
-0.01630958914756775,
0.04182664677500725,
-0.07375279068946838,
0.07240243256092072,
-0.006596881430596113,
0.04025597497820854,
-0.00949909258633852,
0.033630311489105225,
0.05808238685131073,
-0.06902482360601425,
0.050572171807289124,
0.030528848990797997,
0.00810936652123928,
0.030979519709944725,
0.0699472427368164,
-0.04364650323987007,
-0.04325851425528526,
0.03668595850467682,
0.04222717136144638,
0.003586316481232643,
0.0199879240244627,
-0.04949411377310753,
-0.03723563253879547,
-0.007365931291133165,
0.07796591520309448,
-0.08505445718765259,
-0.035775382071733475,
-0.026464996859431267,
0.0019251067424193025,
0.06471284478902817,
0.049768682569265366,
-0.07740943878889084,
-0.013216803781688213
] |
1402.2840
|
Mahsa Shirmohammadi
|
Laurent Doyen, Thierry Massart, Mahsa Shirmohammadi
|
Robust Synchronization in Markov Decision Processes
|
27 pages, 9 figures, 3 Tables. arXiv admin note: text overlap with
arXiv:1310.2935
| null | null | null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider synchronizing properties of Markov decision processes (MDP),
viewed as generators of sequences of probability distributions over states. A
probability distribution is p-synchronizing if the probability mass is at least
p in some state, and a sequence of probability distributions is weakly
p-synchronizing, or strongly p-synchronizing if respectively infinitely many,
or all but finitely many distributions in the sequence are p-synchronizing.
For each synchronizing mode, an MDP can be (i) sure winning if there is a
strategy that produces a 1-synchronizing sequence; (ii) almost-sure winning if
there is a strategy that produces a sequence that is, for all {\epsilon} > 0, a
(1-{\epsilon})-synchronizing sequence; (iii) limit-sure winning if for all
{\epsilon} > 0, there is a strategy that produces a
(1-{\epsilon})-synchronizing sequence.
For each synchronizing and winning mode, we consider the problem of deciding
whether an MDP is winning, and we establish matching upper and lower complexity
bounds of the problems, as well as the optimal memory requirement for winning
strategies: (a) for all winning modes, we show that the problems are
PSPACE-complete for weakly synchronizing, and PTIME-complete for strongly
synchronizing; (b) we show that for weakly synchronizing, exponential memory is
sufficient and may be necessary for sure winning, and infinite memory is
necessary for almost-sure winning; for strongly synchronizing, linear-size
memory is sufficient and may be necessary in all modes; (c) we show a
robustness result that the almost-sure and limit-sure winning modes coincide
for both weakly and strongly synchronizing.
|
[
{
"created": "Wed, 12 Feb 2014 14:47:05 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Apr 2014 17:00:26 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Jun 2014 15:42:47 GMT",
"version": "v3"
}
] |
2014-07-01
|
[
[
"Doyen",
"Laurent",
""
],
[
"Massart",
"Thierry",
""
],
[
"Shirmohammadi",
"Mahsa",
""
]
] |
[
-0.09626155346632004,
-0.04214802756905556,
0.030907204374670982,
-0.10624579340219498,
0.03151644021272659,
-0.020427299663424492,
0.03650357201695442,
-0.07822764664888382,
0.07178396731615067,
0.022578097879886627,
-0.07865184545516968,
0.0026408517733216286,
0.05385301634669304,
-0.03408920764923096,
-0.020695390179753304,
-0.01554462593048811,
0.03395610675215721,
0.041978947818279266,
0.020330900326371193,
0.0978168249130249,
-0.051642563194036484,
-0.011732887476682663,
0.024049898609519005,
0.007595994509756565,
-0.03311918303370476,
0.012673575431108475,
-0.0007378280279226601,
-0.03992336243391037,
-0.030391525477170944,
0.013908435590565205,
0.012140834704041481,
-0.08731476217508316,
0.012490318156778812,
-0.036239948123693466,
0.0024000401608645916,
0.09011363983154297,
-0.08594383299350739,
-0.04532220587134361,
0.03210580348968506,
0.027672303840517998,
0.0576697438955307,
-0.029114432632923126,
-0.01665952242910862,
-0.0003360667615197599,
-0.06110328435897827,
0.009156045503914356,
-0.008882375434041023,
0.012796709313988686,
-0.07062987983226776,
-0.10087557882070541,
-0.09711011499166489,
0.050119802355766296,
-0.035820357501506805,
0.0017814283492043614,
0.03736402839422226,
-0.027152910828590393,
0.07299812883138657,
0.05682840943336487,
-0.05748188868165016,
-0.03505201265215874,
0.014888204634189606,
-0.08588413149118423,
-0.07460664957761765,
0.009321307763457298,
0.056081611663103104,
-0.011574584990739822,
0.05124237388372421,
0.0683344230055809,
0.01018487848341465,
0.09853170067071915,
-0.0018026316538453102,
-0.007359012495726347,
-0.06603890657424927,
0.11232004314661026,
0.040531471371650696,
0.014624166302382946,
0.01037848275154829,
-0.05938716605305672,
-0.08170059323310852,
-0.004188988823443651,
-0.042575642466545105,
0.015393150970339775,
0.011932053603231907,
-0.061422351747751236,
0.05256400629878044,
-0.041764721274375916,
-0.044758737087249756,
0.059776678681373596,
0.1889616698026657,
-0.07092848420143127,
-0.0964232087135315,
-0.00806958507746458,
0.004593140445649624,
0.027145737782120705,
0.0740889310836792,
0.07913012057542801,
0.04429960250854492,
0.008136753924190998,
0.017746083438396454,
0.03238847106695175,
0.032726213335990906,
0.023022839799523354,
-0.005325525067746639,
-0.035391975194215775,
0.05482384189963341,
-0.013324124738574028,
-0.11439403891563416,
-0.012083405628800392,
-0.020923743024468422,
-0.040145378559827805,
0.034938737750053406,
-0.038220711052417755,
0.10704383999109268,
0.08436083793640137,
-0.05877578631043434,
0.005459311883896589,
-0.05002431944012642,
0.03137773647904396,
-0.025831542909145355,
0.037042286247015,
0.02700098790228367,
-0.019772816449403763,
0.0816984474658966,
-0.03181751072406769,
-0.024769069626927376,
0.001277613453567028,
-0.013185464777052402,
3.326049878050139e-33,
0.023500027135014534,
-0.05657591298222542,
0.05824562907218933,
-0.030094211921095848,
0.00749711599200964,
0.0655762329697609,
0.05770331621170044,
-0.07009836286306381,
-0.016867078840732574,
0.01627211458981037,
0.013454539701342583,
0.020144274458289146,
-0.05680267512798309,
0.03151382505893707,
0.06568021327257156,
-0.011728852987289429,
0.012017947621643543,
0.05656842142343521,
0.029529044404625893,
-0.09486506879329681,
0.06934859603643417,
-0.0391591340303421,
-0.04893340542912483,
-0.027892261743545532,
0.030478648841381073,
-0.06467218697071075,
-0.020217176526784897,
0.035699307918548584,
-0.01809227094054222,
0.0012499059084802866,
-0.06247687339782715,
0.008257901296019554,
-0.02451619692146778,
0.025903990492224693,
0.005059275776147842,
0.006549293641000986,
-0.09923375397920609,
-0.075347900390625,
-0.04036669433116913,
-0.035493768751621246,
-0.07649216055870056,
0.01619797758758068,
0.005961535964161158,
0.07521412521600723,
-0.03592032566666603,
-0.07150771468877792,
0.011493506841361523,
-0.0039657908491790295,
-0.06281902641057968,
-0.04196488857269287,
0.09962868690490723,
-0.0655805841088295,
0.019730933010578156,
-0.13122360408306122,
-0.059130024164915085,
-0.03537862002849579,
0.03773189336061478,
0.03414842486381531,
-0.06618759781122208,
0.12704026699066162,
0.006234197877347469,
-0.05774058401584625,
-0.01278906874358654,
-0.026306450366973877,
0.00966997817158699,
0.05087922513484955,
-0.05568215996026993,
-0.015320027247071266,
0.0805986151099205,
-0.04239453747868538,
0.09415809065103531,
0.006128770764917135,
0.0011124913580715656,
-0.09124230593442917,
0.13141180574893951,
-0.009864548221230507,
0.10351378470659256,
-0.013223115354776382,
-0.042299505323171616,
-0.0049052126705646515,
-0.018526893109083176,
-0.04451313987374306,
-0.038987066596746445,
0.029010416939854622,
-0.07128625363111496,
0.002496751956641674,
-0.02976633608341217,
-0.004109852481633425,
-0.0434366911649704,
-0.018111329525709152,
-0.043524306267499924,
-0.009132047183811665,
0.036728378385305405,
0.013641898520290852,
-0.0026390929706394672,
-5.00537469928829e-33,
0.026683352887630463,
-0.10455052554607391,
0.03527040407061577,
0.06704450398683548,
0.03811946138739586,
0.022517608478665352,
-0.04348070174455643,
-0.06461668014526367,
-0.10769793391227722,
-0.12784601747989655,
-0.04381219297647476,
0.009006074629724026,
0.060590557754039764,
0.013593155890703201,
-0.0295016560703516,
-0.05996634066104889,
0.15139462053775787,
0.11439936608076096,
-0.012236876413226128,
0.04045137017965317,
0.12743213772773743,
0.02219904400408268,
-0.05706585571169853,
0.06802625209093094,
0.07613150775432587,
0.0016033794963732362,
-0.05654328316450119,
-0.010790948756039143,
0.006858303677290678,
0.023617886006832123,
0.01692417822778225,
-0.029587414115667343,
-0.04547160118818283,
-0.011316248215734959,
-0.01403267402201891,
0.021539289504289627,
0.05998273193836212,
0.058103665709495544,
-0.06686299294233322,
0.09738510847091675,
0.0465066097676754,
-0.044877100735902786,
-0.010438349097967148,
0.0077822585590183735,
0.03458616882562637,
-0.08062700927257538,
-0.013803218491375446,
0.03901881352066994,
-0.05894395709037781,
0.02645275555551052,
0.008077556267380714,
0.033163223415613174,
-0.007257346995174885,
0.05892590433359146,
-0.044797156006097794,
0.0745609924197197,
-0.08219880610704422,
0.04083987697958946,
0.025332894176244736,
0.03189048543572426,
-0.042019229382276535,
0.030814915895462036,
-0.027760248631238937,
0.07155845314264297,
0.026561139151453972,
0.05391383916139603,
-0.030809473246335983,
-0.09222609549760818,
0.06830623000860214,
0.05522648245096207,
0.03394903242588043,
0.06804174184799194,
-0.025836315006017685,
0.015668436884880066,
0.05490826070308685,
0.02040855772793293,
-0.010981656610965729,
0.017267849296331406,
-0.013648658990859985,
0.023976629599928856,
-0.041771505028009415,
0.04745442047715187,
0.005721045192331076,
0.032449591904878616,
-0.04139946773648262,
0.04167996346950531,
0.07039033621549606,
-0.06341993063688278,
0.04372340440750122,
-0.06188612058758736,
0.04745824262499809,
0.0170971117913723,
0.02192450314760208,
0.004497778136283159,
-0.09472533315420151,
-5.0548575103448457e-8,
0.042642295360565186,
-0.01513111311942339,
0.06072348356246948,
0.005376850254833698,
0.0997108519077301,
0.07061205804347992,
-0.047090038657188416,
-0.05565758794546127,
0.06223609298467636,
-0.025135375559329987,
0.062102559953927994,
0.05411017686128616,
-0.007288952358067036,
0.018626082688570023,
-0.015827730298042297,
-0.016556885093450546,
-0.04022294282913208,
-0.052983835339546204,
-0.04329022765159607,
0.040157292038202286,
0.022229468449950218,
-0.02438194677233696,
-0.03962088003754616,
0.04622580483555794,
-0.01456766203045845,
0.006063494831323624,
-0.01576198823750019,
0.018644750118255615,
0.010281248949468136,
0.02881220355629921,
0.02025880105793476,
-0.024714214727282524,
0.06898863613605499,
-0.002274621743708849,
-0.004380331840366125,
0.04765835031867027,
-0.028096746653318405,
-0.024582019075751305,
-0.024237805977463722,
-0.07156085222959518,
0.03641657903790474,
0.03158481419086456,
-0.005253123119473457,
0.02986317314207554,
0.030292920768260956,
-0.05769136920571327,
-0.04687446728348732,
-0.0661652609705925,
0.011668195948004723,
-0.13380064070224762,
0.011109694838523865,
-0.01649877056479454,
-0.023029416799545288,
-0.003553410293534398,
0.046559445559978485,
0.05839284509420395,
0.02576795034110546,
-0.04669588804244995,
0.003904180135577917,
0.05530070140957832,
0.056796930730342865,
0.027736956253647804,
-0.019839923828840256,
0.01624080166220665
] | null | null | null | null | null | null | null |
[
-0.09626155346632004,
-0.04214802756905556,
0.030907204374670982,
-0.10624579340219498,
0.03151644021272659,
-0.020427299663424492,
0.03650357201695442,
-0.07822764664888382,
0.07178396731615067,
0.022578097879886627,
-0.07865184545516968,
0.0026408517733216286,
0.05385301634669304,
-0.03408920764923096,
-0.020695390179753304,
-0.01554462593048811,
0.03395610675215721,
0.041978947818279266,
0.020330900326371193,
0.0978168249130249,
-0.051642563194036484,
-0.011732887476682663,
0.024049898609519005,
0.007595994509756565,
-0.03311918303370476,
0.012673575431108475,
-0.0007378280279226601,
-0.03992336243391037,
-0.030391525477170944,
0.013908435590565205,
0.012140834704041481,
-0.08731476217508316,
0.012490318156778812,
-0.036239948123693466,
0.0024000401608645916,
0.09011363983154297,
-0.08594383299350739,
-0.04532220587134361,
0.03210580348968506,
0.027672303840517998,
0.0576697438955307,
-0.029114432632923126,
-0.01665952242910862,
-0.0003360667615197599,
-0.06110328435897827,
0.009156045503914356,
-0.008882375434041023,
0.012796709313988686,
-0.07062987983226776,
-0.10087557882070541,
-0.09711011499166489,
0.050119802355766296,
-0.035820357501506805,
0.0017814283492043614,
0.03736402839422226,
-0.027152910828590393,
0.07299812883138657,
0.05682840943336487,
-0.05748188868165016,
-0.03505201265215874,
0.014888204634189606,
-0.08588413149118423,
-0.07460664957761765,
0.009321307763457298,
0.056081611663103104,
-0.011574584990739822,
0.05124237388372421,
0.0683344230055809,
0.01018487848341465,
0.09853170067071915,
-0.0018026316538453102,
-0.007359012495726347,
-0.06603890657424927,
0.11232004314661026,
0.040531471371650696,
0.014624166302382946,
0.01037848275154829,
-0.05938716605305672,
-0.08170059323310852,
-0.004188988823443651,
-0.042575642466545105,
0.015393150970339775,
0.011932053603231907,
-0.061422351747751236,
0.05256400629878044,
-0.041764721274375916,
-0.044758737087249756,
0.059776678681373596,
0.1889616698026657,
-0.07092848420143127,
-0.0964232087135315,
-0.00806958507746458,
0.004593140445649624,
0.027145737782120705,
0.0740889310836792,
0.07913012057542801,
0.04429960250854492,
0.008136753924190998,
0.017746083438396454,
0.03238847106695175,
0.032726213335990906,
0.023022839799523354,
-0.005325525067746639,
-0.035391975194215775,
0.05482384189963341,
-0.013324124738574028,
-0.11439403891563416,
-0.012083405628800392,
-0.020923743024468422,
-0.040145378559827805,
0.034938737750053406,
-0.038220711052417755,
0.10704383999109268,
0.08436083793640137,
-0.05877578631043434,
0.005459311883896589,
-0.05002431944012642,
0.03137773647904396,
-0.025831542909145355,
0.037042286247015,
0.02700098790228367,
-0.019772816449403763,
0.0816984474658966,
-0.03181751072406769,
-0.024769069626927376,
0.001277613453567028,
-0.013185464777052402,
3.326049878050139e-33,
0.023500027135014534,
-0.05657591298222542,
0.05824562907218933,
-0.030094211921095848,
0.00749711599200964,
0.0655762329697609,
0.05770331621170044,
-0.07009836286306381,
-0.016867078840732574,
0.01627211458981037,
0.013454539701342583,
0.020144274458289146,
-0.05680267512798309,
0.03151382505893707,
0.06568021327257156,
-0.011728852987289429,
0.012017947621643543,
0.05656842142343521,
0.029529044404625893,
-0.09486506879329681,
0.06934859603643417,
-0.0391591340303421,
-0.04893340542912483,
-0.027892261743545532,
0.030478648841381073,
-0.06467218697071075,
-0.020217176526784897,
0.035699307918548584,
-0.01809227094054222,
0.0012499059084802866,
-0.06247687339782715,
0.008257901296019554,
-0.02451619692146778,
0.025903990492224693,
0.005059275776147842,
0.006549293641000986,
-0.09923375397920609,
-0.075347900390625,
-0.04036669433116913,
-0.035493768751621246,
-0.07649216055870056,
0.01619797758758068,
0.005961535964161158,
0.07521412521600723,
-0.03592032566666603,
-0.07150771468877792,
0.011493506841361523,
-0.0039657908491790295,
-0.06281902641057968,
-0.04196488857269287,
0.09962868690490723,
-0.0655805841088295,
0.019730933010578156,
-0.13122360408306122,
-0.059130024164915085,
-0.03537862002849579,
0.03773189336061478,
0.03414842486381531,
-0.06618759781122208,
0.12704026699066162,
0.006234197877347469,
-0.05774058401584625,
-0.01278906874358654,
-0.026306450366973877,
0.00966997817158699,
0.05087922513484955,
-0.05568215996026993,
-0.015320027247071266,
0.0805986151099205,
-0.04239453747868538,
0.09415809065103531,
0.006128770764917135,
0.0011124913580715656,
-0.09124230593442917,
0.13141180574893951,
-0.009864548221230507,
0.10351378470659256,
-0.013223115354776382,
-0.042299505323171616,
-0.0049052126705646515,
-0.018526893109083176,
-0.04451313987374306,
-0.038987066596746445,
0.029010416939854622,
-0.07128625363111496,
0.002496751956641674,
-0.02976633608341217,
-0.004109852481633425,
-0.0434366911649704,
-0.018111329525709152,
-0.043524306267499924,
-0.009132047183811665,
0.036728378385305405,
0.013641898520290852,
-0.0026390929706394672,
-5.00537469928829e-33,
0.026683352887630463,
-0.10455052554607391,
0.03527040407061577,
0.06704450398683548,
0.03811946138739586,
0.022517608478665352,
-0.04348070174455643,
-0.06461668014526367,
-0.10769793391227722,
-0.12784601747989655,
-0.04381219297647476,
0.009006074629724026,
0.060590557754039764,
0.013593155890703201,
-0.0295016560703516,
-0.05996634066104889,
0.15139462053775787,
0.11439936608076096,
-0.012236876413226128,
0.04045137017965317,
0.12743213772773743,
0.02219904400408268,
-0.05706585571169853,
0.06802625209093094,
0.07613150775432587,
0.0016033794963732362,
-0.05654328316450119,
-0.010790948756039143,
0.006858303677290678,
0.023617886006832123,
0.01692417822778225,
-0.029587414115667343,
-0.04547160118818283,
-0.011316248215734959,
-0.01403267402201891,
0.021539289504289627,
0.05998273193836212,
0.058103665709495544,
-0.06686299294233322,
0.09738510847091675,
0.0465066097676754,
-0.044877100735902786,
-0.010438349097967148,
0.0077822585590183735,
0.03458616882562637,
-0.08062700927257538,
-0.013803218491375446,
0.03901881352066994,
-0.05894395709037781,
0.02645275555551052,
0.008077556267380714,
0.033163223415613174,
-0.007257346995174885,
0.05892590433359146,
-0.044797156006097794,
0.0745609924197197,
-0.08219880610704422,
0.04083987697958946,
0.025332894176244736,
0.03189048543572426,
-0.042019229382276535,
0.030814915895462036,
-0.027760248631238937,
0.07155845314264297,
0.026561139151453972,
0.05391383916139603,
-0.030809473246335983,
-0.09222609549760818,
0.06830623000860214,
0.05522648245096207,
0.03394903242588043,
0.06804174184799194,
-0.025836315006017685,
0.015668436884880066,
0.05490826070308685,
0.02040855772793293,
-0.010981656610965729,
0.017267849296331406,
-0.013648658990859985,
0.023976629599928856,
-0.041771505028009415,
0.04745442047715187,
0.005721045192331076,
0.032449591904878616,
-0.04139946773648262,
0.04167996346950531,
0.07039033621549606,
-0.06341993063688278,
0.04372340440750122,
-0.06188612058758736,
0.04745824262499809,
0.0170971117913723,
0.02192450314760208,
0.004497778136283159,
-0.09472533315420151,
-5.0548575103448457e-8,
0.042642295360565186,
-0.01513111311942339,
0.06072348356246948,
0.005376850254833698,
0.0997108519077301,
0.07061205804347992,
-0.047090038657188416,
-0.05565758794546127,
0.06223609298467636,
-0.025135375559329987,
0.062102559953927994,
0.05411017686128616,
-0.007288952358067036,
0.018626082688570023,
-0.015827730298042297,
-0.016556885093450546,
-0.04022294282913208,
-0.052983835339546204,
-0.04329022765159607,
0.040157292038202286,
0.022229468449950218,
-0.02438194677233696,
-0.03962088003754616,
0.04622580483555794,
-0.01456766203045845,
0.006063494831323624,
-0.01576198823750019,
0.018644750118255615,
0.010281248949468136,
0.02881220355629921,
0.02025880105793476,
-0.024714214727282524,
0.06898863613605499,
-0.002274621743708849,
-0.004380331840366125,
0.04765835031867027,
-0.028096746653318405,
-0.024582019075751305,
-0.024237805977463722,
-0.07156085222959518,
0.03641657903790474,
0.03158481419086456,
-0.005253123119473457,
0.02986317314207554,
0.030292920768260956,
-0.05769136920571327,
-0.04687446728348732,
-0.0661652609705925,
0.011668195948004723,
-0.13380064070224762,
0.011109694838523865,
-0.01649877056479454,
-0.023029416799545288,
-0.003553410293534398,
0.046559445559978485,
0.05839284509420395,
0.02576795034110546,
-0.04669588804244995,
0.003904180135577917,
0.05530070140957832,
0.056796930730342865,
0.027736956253647804,
-0.019839923828840256,
0.01624080166220665
] |
1402.2843
|
Edouard Bonnet
|
Edouard Bonnet and Vangelis Th. Paschos
|
Sparsification and subexponential approximation
|
16 pages
| null | null | null |
cs.CC cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Instance sparsification is well-known in the world of exact computation since
it is very closely linked to the Exponential Time Hypothesis. In this paper, we
extend the concept of sparsification in order to capture subexponential time
approximation. We develop a new tool for inapproximability, called
approximation preserving sparsification and use it in order to get strong
inapproximability results in subexponential time for several fundamental
optimization problems as Max Independent Set, Min Dominating Set, Min Feedback
Vertex Set, and Min Set Cover.
|
[
{
"created": "Wed, 12 Feb 2014 15:07:50 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2014 17:35:33 GMT",
"version": "v2"
}
] |
2014-02-17
|
[
[
"Bonnet",
"Edouard",
""
],
[
"Paschos",
"Vangelis Th.",
""
]
] |
[
-0.0525505505502224,
0.03922446072101593,
0.06723184883594513,
-0.0006919464212842286,
0.05813492089509964,
-0.07449489831924438,
0.05069694668054581,
0.0048678540624678135,
0.0008151602814905345,
-0.04897826164960861,
-0.044243525713682175,
-0.02930741012096405,
0.0920039489865303,
0.012737019918859005,
-0.002997468924149871,
0.008858154527842999,
0.10074667632579803,
-0.03385630622506142,
-0.08388280123472214,
-0.05138039588928223,
0.00011819391511380672,
0.009723647497594357,
-0.056430984288454056,
0.05788414925336838,
0.012502576224505901,
-0.08617692440748215,
-0.06562235951423645,
0.023427238687872887,
0.0705355852842331,
-0.015813659876585007,
-0.022864535450935364,
-0.08929048478603363,
-0.07689060270786285,
0.007810194045305252,
-0.02334555983543396,
0.03550919517874718,
-0.06448683142662048,
0.015677018091082573,
0.014140973798930645,
0.06419988721609116,
0.0301937535405159,
0.08441632986068726,
0.0012115511344745755,
0.008280741982161999,
0.06438091397285461,
0.07236148416996002,
-0.034674420952796936,
-0.003932145424187183,
-0.0554339662194252,
-0.06886599212884903,
-0.012130877934396267,
-0.023708386346697807,
-0.008056784979999065,
-0.05702119693160057,
-0.03562350571155548,
-0.10736408829689026,
-0.005665200762450695,
-0.021637212485074997,
-0.005643616896122694,
0.03673812001943588,
-0.003938351757824421,
-0.07267239689826965,
0.05095083266496658,
-0.052282944321632385,
0.035261813551187515,
-0.03873370587825775,
0.11342638731002808,
-0.027395550161600113,
0.03854752331972122,
0.15306851267814636,
-0.0024152689147740602,
-0.02290605753660202,
-0.09491711854934692,
0.04521539434790611,
0.0024861344136297703,
0.028819942846894264,
-0.01856662891805172,
0.04968462884426117,
-0.02646571584045887,
-0.0085946936160326,
0.010262029245495796,
-0.06658361107110977,
-0.0478016696870327,
-0.023347442969679832,
0.04321810230612755,
-0.07941501587629318,
0.017990238964557648,
-0.07050588726997375,
0.06288228183984756,
-0.014859725721180439,
-0.06602221727371216,
-0.0783395916223526,
-0.02282865159213543,
0.060329142957925797,
-0.04790119081735611,
-0.07942992448806763,
0.04912687838077545,
0.08790303021669388,
0.012533091008663177,
0.09595935046672821,
-0.05244874209165573,
0.012598160654306412,
0.01997319795191288,
-0.035311151295900345,
0.05345761775970459,
-0.035681094974279404,
-0.0018927357159554958,
0.0653967410326004,
0.04184296354651451,
-0.09453167021274567,
0.0816519632935524,
-0.03562500327825546,
0.021737543866038322,
0.030059020966291428,
0.005983813665807247,
-0.027818668633699417,
0.09687048196792603,
-0.019910382106900215,
0.05210922658443451,
0.016875049099326134,
0.04589235410094261,
0.0024704323150217533,
0.043365366756916046,
-0.049627043306827545,
0.008672792464494705,
0.022096997126936913,
-0.0037285436410456896,
5.110415772451816e-33,
0.018102938309311867,
-0.008659533224999905,
-0.029051674529910088,
-0.0750788003206253,
0.015232829377055168,
0.029248403385281563,
-0.024065427482128143,
0.003660393413156271,
0.010190124623477459,
0.021666206419467926,
-0.05107815936207771,
-0.04811415821313858,
-0.01083003543317318,
0.016643738374114037,
0.035781051963567734,
-0.040213197469711304,
0.09347695112228394,
0.05057378485798836,
-0.06503617763519287,
-0.12575149536132812,
0.07202062755823135,
-0.012433156371116638,
-0.029863137751817703,
-0.1305321753025055,
0.008735891431570053,
-0.005894141737371683,
0.02677791938185692,
-0.055665794759988785,
-0.023040013387799263,
-0.008391330949962139,
-0.038420483469963074,
0.04063977673649788,
-0.017191754654049873,
0.12952499091625214,
0.016057711094617844,
-0.02823721244931221,
0.05642775818705559,
-0.05480954423546791,
0.07921824604272842,
-0.03646637126803398,
0.0066409362480044365,
0.04074729606509209,
0.027408644556999207,
-0.06446463614702225,
-0.013441348448395729,
-0.022183947265148163,
0.04311954230070114,
0.07027506083250046,
0.01750832051038742,
-0.04082841798663139,
0.011678989976644516,
0.001970678335055709,
-0.02848483994603157,
0.009118312038481236,
0.008977781981229782,
-0.03259086236357689,
0.04903503879904747,
0.015893660485744476,
0.07543919235467911,
0.06331118941307068,
-0.015269582159817219,
-0.03512126952409744,
-0.027880240231752396,
-0.03462055325508118,
-0.07985053956508636,
0.04409712180495262,
0.0101691959425807,
-0.05943876877427101,
0.0930132269859314,
-0.0172989834100008,
-0.013034324161708355,
0.05864565074443817,
-0.024128876626491547,
-0.013313683681190014,
0.07068278640508652,
-0.09135481715202332,
0.11839483678340912,
-0.02961808629333973,
-0.031892988830804825,
0.015445798635482788,
-0.026285815984010696,
-0.08442351222038269,
-0.03334793820977211,
-0.053997401148080826,
-0.09989096969366074,
-0.09529683738946915,
0.09050434082746506,
0.06983660161495209,
-0.053346965461969376,
-0.04359915852546692,
-0.10192979872226715,
0.030145153403282166,
-0.03432147204875946,
-0.018052218481898308,
-0.0007997309439815581,
-3.8720589224834296e-33,
-0.022842103615403175,
-0.0362386517226696,
0.0345572903752327,
0.054987579584121704,
0.07212436944246292,
-0.09253404289484024,
-0.05991218239068985,
-0.021447420120239258,
-0.05673246830701828,
0.02528323046863079,
-0.06619346141815186,
0.012943035922944546,
0.05682951211929321,
-0.07905910909175873,
-0.11954907327890396,
0.021775035187602043,
-0.010629436932504177,
-0.04074377194046974,
-0.0003768704191315919,
0.005901044234633446,
-0.021009959280490875,
0.011888456530869007,
0.00918129924684763,
0.032040759921073914,
0.06467819958925247,
0.05798820033669472,
-0.07861427962779999,
0.06995132565498352,
0.027994202449917793,
-0.0595441497862339,
-0.08645561337471008,
-0.06041938066482544,
-0.1082233116030693,
-0.018313923850655556,
-0.04693806171417236,
0.008405119180679321,
0.038279563188552856,
0.11441243439912796,
0.014181827194988728,
0.030546920374035835,
0.03593767061829567,
0.04062948003411293,
-0.07082448154687881,
0.09320186078548431,
0.11902706325054169,
0.025963863357901573,
-0.008156382478773594,
-0.027509715408086777,
0.030185896903276443,
0.02587890811264515,
-0.01721472479403019,
-0.021486472338438034,
0.10084375739097595,
0.07026678323745728,
-0.023143118247389793,
-0.07125432044267654,
-0.02448442205786705,
-0.027704406529664993,
0.011378969997167587,
0.00911100022494793,
-0.02524418756365776,
-0.022987136617302895,
0.030559631064534187,
0.052112020552158356,
0.01657971926033497,
0.030328642576932907,
-0.010020773857831955,
-0.0334041602909565,
0.012631178833544254,
0.05305517092347145,
-0.002674291841685772,
0.04240916669368744,
-0.07209157198667526,
-0.017872950062155724,
-0.012269262224435806,
0.081118643283844,
0.04422205686569214,
0.009136860258877277,
0.022046305239200592,
-0.07230311632156372,
0.013285033404827118,
0.05840771272778511,
0.01649901270866394,
-0.0003161182103212923,
0.013834604993462563,
0.06977351009845734,
0.00659118453040719,
-0.0055600982159376144,
-0.017056765034794807,
-0.03682900220155716,
-0.0010615645442157984,
-0.025332236662507057,
0.025333678349852562,
0.008303236216306686,
-0.07381699979305267,
-4.2467814154178996e-8,
0.02467147633433342,
0.022432127967476845,
-0.02131141908466816,
-0.07575872540473938,
0.09882611036300659,
-0.053608134388923645,
0.03189399093389511,
0.01735190488398075,
-0.00903978943824768,
-0.034974049776792526,
0.09460096061229706,
-0.039231542497873306,
0.0264993105083704,
0.008759774267673492,
0.013172341510653496,
0.006093830335885286,
0.0019096798496320844,
0.03557582572102547,
-0.02619136869907379,
-0.007856751792132854,
-0.052093349397182465,
0.05397015064954758,
0.01280126627534628,
-0.005176583305001259,
0.01917199045419693,
-0.02255990542471409,
0.045933738350868225,
0.06417976319789886,
0.021341120824217796,
0.02520853281021118,
-0.06124288961291313,
0.04946880415081978,
0.12280499935150146,
0.0927547886967659,
0.004165404476225376,
0.059101834893226624,
-0.025918709114193916,
0.09905965626239777,
-0.1581776738166809,
0.024146145209670067,
-0.0817745253443718,
-0.03686362877488136,
-0.042963407933712006,
0.001049915561452508,
0.07511433213949203,
0.03536501154303551,
0.013471336103975773,
-0.04189137741923332,
0.002121885772794485,
0.04838411882519722,
0.08370202779769897,
0.008833232335746288,
-0.0007547068526037037,
0.01214270107448101,
-0.03968425840139389,
0.05191982910037041,
0.023941509425640106,
-0.07701708376407623,
0.03428175672888756,
0.014401230029761791,
-0.007994741201400757,
0.005290590692311525,
0.019569389522075653,
0.08997642248868942
] | null | null | null | null | null | null | null |
[
-0.0525505505502224,
0.03922446072101593,
0.06723184883594513,
-0.0006919464212842286,
0.05813492089509964,
-0.07449489831924438,
0.05069694668054581,
0.0048678540624678135,
0.0008151602814905345,
-0.04897826164960861,
-0.044243525713682175,
-0.02930741012096405,
0.0920039489865303,
0.012737019918859005,
-0.002997468924149871,
0.008858154527842999,
0.10074667632579803,
-0.03385630622506142,
-0.08388280123472214,
-0.05138039588928223,
0.00011819391511380672,
0.009723647497594357,
-0.056430984288454056,
0.05788414925336838,
0.012502576224505901,
-0.08617692440748215,
-0.06562235951423645,
0.023427238687872887,
0.0705355852842331,
-0.015813659876585007,
-0.022864535450935364,
-0.08929048478603363,
-0.07689060270786285,
0.007810194045305252,
-0.02334555983543396,
0.03550919517874718,
-0.06448683142662048,
0.015677018091082573,
0.014140973798930645,
0.06419988721609116,
0.0301937535405159,
0.08441632986068726,
0.0012115511344745755,
0.008280741982161999,
0.06438091397285461,
0.07236148416996002,
-0.034674420952796936,
-0.003932145424187183,
-0.0554339662194252,
-0.06886599212884903,
-0.012130877934396267,
-0.023708386346697807,
-0.008056784979999065,
-0.05702119693160057,
-0.03562350571155548,
-0.10736408829689026,
-0.005665200762450695,
-0.021637212485074997,
-0.005643616896122694,
0.03673812001943588,
-0.003938351757824421,
-0.07267239689826965,
0.05095083266496658,
-0.052282944321632385,
0.035261813551187515,
-0.03873370587825775,
0.11342638731002808,
-0.027395550161600113,
0.03854752331972122,
0.15306851267814636,
-0.0024152689147740602,
-0.02290605753660202,
-0.09491711854934692,
0.04521539434790611,
0.0024861344136297703,
0.028819942846894264,
-0.01856662891805172,
0.04968462884426117,
-0.02646571584045887,
-0.0085946936160326,
0.010262029245495796,
-0.06658361107110977,
-0.0478016696870327,
-0.023347442969679832,
0.04321810230612755,
-0.07941501587629318,
0.017990238964557648,
-0.07050588726997375,
0.06288228183984756,
-0.014859725721180439,
-0.06602221727371216,
-0.0783395916223526,
-0.02282865159213543,
0.060329142957925797,
-0.04790119081735611,
-0.07942992448806763,
0.04912687838077545,
0.08790303021669388,
0.012533091008663177,
0.09595935046672821,
-0.05244874209165573,
0.012598160654306412,
0.01997319795191288,
-0.035311151295900345,
0.05345761775970459,
-0.035681094974279404,
-0.0018927357159554958,
0.0653967410326004,
0.04184296354651451,
-0.09453167021274567,
0.0816519632935524,
-0.03562500327825546,
0.021737543866038322,
0.030059020966291428,
0.005983813665807247,
-0.027818668633699417,
0.09687048196792603,
-0.019910382106900215,
0.05210922658443451,
0.016875049099326134,
0.04589235410094261,
0.0024704323150217533,
0.043365366756916046,
-0.049627043306827545,
0.008672792464494705,
0.022096997126936913,
-0.0037285436410456896,
5.110415772451816e-33,
0.018102938309311867,
-0.008659533224999905,
-0.029051674529910088,
-0.0750788003206253,
0.015232829377055168,
0.029248403385281563,
-0.024065427482128143,
0.003660393413156271,
0.010190124623477459,
0.021666206419467926,
-0.05107815936207771,
-0.04811415821313858,
-0.01083003543317318,
0.016643738374114037,
0.035781051963567734,
-0.040213197469711304,
0.09347695112228394,
0.05057378485798836,
-0.06503617763519287,
-0.12575149536132812,
0.07202062755823135,
-0.012433156371116638,
-0.029863137751817703,
-0.1305321753025055,
0.008735891431570053,
-0.005894141737371683,
0.02677791938185692,
-0.055665794759988785,
-0.023040013387799263,
-0.008391330949962139,
-0.038420483469963074,
0.04063977673649788,
-0.017191754654049873,
0.12952499091625214,
0.016057711094617844,
-0.02823721244931221,
0.05642775818705559,
-0.05480954423546791,
0.07921824604272842,
-0.03646637126803398,
0.0066409362480044365,
0.04074729606509209,
0.027408644556999207,
-0.06446463614702225,
-0.013441348448395729,
-0.022183947265148163,
0.04311954230070114,
0.07027506083250046,
0.01750832051038742,
-0.04082841798663139,
0.011678989976644516,
0.001970678335055709,
-0.02848483994603157,
0.009118312038481236,
0.008977781981229782,
-0.03259086236357689,
0.04903503879904747,
0.015893660485744476,
0.07543919235467911,
0.06331118941307068,
-0.015269582159817219,
-0.03512126952409744,
-0.027880240231752396,
-0.03462055325508118,
-0.07985053956508636,
0.04409712180495262,
0.0101691959425807,
-0.05943876877427101,
0.0930132269859314,
-0.0172989834100008,
-0.013034324161708355,
0.05864565074443817,
-0.024128876626491547,
-0.013313683681190014,
0.07068278640508652,
-0.09135481715202332,
0.11839483678340912,
-0.02961808629333973,
-0.031892988830804825,
0.015445798635482788,
-0.026285815984010696,
-0.08442351222038269,
-0.03334793820977211,
-0.053997401148080826,
-0.09989096969366074,
-0.09529683738946915,
0.09050434082746506,
0.06983660161495209,
-0.053346965461969376,
-0.04359915852546692,
-0.10192979872226715,
0.030145153403282166,
-0.03432147204875946,
-0.018052218481898308,
-0.0007997309439815581,
-3.8720589224834296e-33,
-0.022842103615403175,
-0.0362386517226696,
0.0345572903752327,
0.054987579584121704,
0.07212436944246292,
-0.09253404289484024,
-0.05991218239068985,
-0.021447420120239258,
-0.05673246830701828,
0.02528323046863079,
-0.06619346141815186,
0.012943035922944546,
0.05682951211929321,
-0.07905910909175873,
-0.11954907327890396,
0.021775035187602043,
-0.010629436932504177,
-0.04074377194046974,
-0.0003768704191315919,
0.005901044234633446,
-0.021009959280490875,
0.011888456530869007,
0.00918129924684763,
0.032040759921073914,
0.06467819958925247,
0.05798820033669472,
-0.07861427962779999,
0.06995132565498352,
0.027994202449917793,
-0.0595441497862339,
-0.08645561337471008,
-0.06041938066482544,
-0.1082233116030693,
-0.018313923850655556,
-0.04693806171417236,
0.008405119180679321,
0.038279563188552856,
0.11441243439912796,
0.014181827194988728,
0.030546920374035835,
0.03593767061829567,
0.04062948003411293,
-0.07082448154687881,
0.09320186078548431,
0.11902706325054169,
0.025963863357901573,
-0.008156382478773594,
-0.027509715408086777,
0.030185896903276443,
0.02587890811264515,
-0.01721472479403019,
-0.021486472338438034,
0.10084375739097595,
0.07026678323745728,
-0.023143118247389793,
-0.07125432044267654,
-0.02448442205786705,
-0.027704406529664993,
0.011378969997167587,
0.00911100022494793,
-0.02524418756365776,
-0.022987136617302895,
0.030559631064534187,
0.052112020552158356,
0.01657971926033497,
0.030328642576932907,
-0.010020773857831955,
-0.0334041602909565,
0.012631178833544254,
0.05305517092347145,
-0.002674291841685772,
0.04240916669368744,
-0.07209157198667526,
-0.017872950062155724,
-0.012269262224435806,
0.081118643283844,
0.04422205686569214,
0.009136860258877277,
0.022046305239200592,
-0.07230311632156372,
0.013285033404827118,
0.05840771272778511,
0.01649901270866394,
-0.0003161182103212923,
0.013834604993462563,
0.06977351009845734,
0.00659118453040719,
-0.0055600982159376144,
-0.017056765034794807,
-0.03682900220155716,
-0.0010615645442157984,
-0.025332236662507057,
0.025333678349852562,
0.008303236216306686,
-0.07381699979305267,
-4.2467814154178996e-8,
0.02467147633433342,
0.022432127967476845,
-0.02131141908466816,
-0.07575872540473938,
0.09882611036300659,
-0.053608134388923645,
0.03189399093389511,
0.01735190488398075,
-0.00903978943824768,
-0.034974049776792526,
0.09460096061229706,
-0.039231542497873306,
0.0264993105083704,
0.008759774267673492,
0.013172341510653496,
0.006093830335885286,
0.0019096798496320844,
0.03557582572102547,
-0.02619136869907379,
-0.007856751792132854,
-0.052093349397182465,
0.05397015064954758,
0.01280126627534628,
-0.005176583305001259,
0.01917199045419693,
-0.02255990542471409,
0.045933738350868225,
0.06417976319789886,
0.021341120824217796,
0.02520853281021118,
-0.06124288961291313,
0.04946880415081978,
0.12280499935150146,
0.0927547886967659,
0.004165404476225376,
0.059101834893226624,
-0.025918709114193916,
0.09905965626239777,
-0.1581776738166809,
0.024146145209670067,
-0.0817745253443718,
-0.03686362877488136,
-0.042963407933712006,
0.001049915561452508,
0.07511433213949203,
0.03536501154303551,
0.013471336103975773,
-0.04189137741923332,
0.002121885772794485,
0.04838411882519722,
0.08370202779769897,
0.008833232335746288,
-0.0007547068526037037,
0.01214270107448101,
-0.03968425840139389,
0.05191982910037041,
0.023941509425640106,
-0.07701708376407623,
0.03428175672888756,
0.014401230029761791,
-0.007994741201400757,
0.005290590692311525,
0.019569389522075653,
0.08997642248868942
] |
1402.2845
|
Alex Gorodetsky
|
Alex A. Gorodetsky, Youssef M. Marzouk
|
Efficient Localization of Discontinuities in Complex Computational
Simulations
| null | null | null | null |
cs.CE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Surrogate models for computational simulations are input-output
approximations that allow computationally intensive analyses, such as
uncertainty propagation and inference, to be performed efficiently. When a
simulation output does not depend smoothly on its inputs, the error and
convergence rate of many approximation methods deteriorate substantially. This
paper details a method for efficiently localizing discontinuities in the input
parameter domain, so that the model output can be approximated as a piecewise
smooth function. The approach comprises an initialization phase, which uses
polynomial annihilation to assign function values to different regions and thus
seed an automated labeling procedure, followed by a refinement phase that
adaptively updates a kernel support vector machine representation of the
separating surface via active learning. The overall approach avoids structured
grids and exploits any available simplicity in the geometry of the separating
surface, thus reducing the number of model evaluations required to localize the
discontinuity. The method is illustrated on examples of up to eleven
dimensions, including algebraic models and ODE/PDE systems, and demonstrates
improved scaling and efficiency over other discontinuity localization
approaches.
|
[
{
"created": "Wed, 12 Feb 2014 15:16:11 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Aug 2014 18:06:35 GMT",
"version": "v2"
}
] |
2014-08-05
|
[
[
"Gorodetsky",
"Alex A.",
""
],
[
"Marzouk",
"Youssef M.",
""
]
] |
[
-0.05038886517286301,
-0.03396077826619148,
-0.009586896747350693,
0.013797696679830551,
0.049792032688856125,
-0.11525199562311172,
-0.01128194946795702,
0.009599121287465096,
-0.026916921138763428,
-0.02937925234436989,
0.005395336542278528,
-0.013570793904364109,
-0.012842295691370964,
-0.01659327931702137,
-0.019283412024378777,
-0.02382182702422142,
-0.03095444291830063,
0.010827355086803436,
-0.03456621244549751,
0.012219946831464767,
0.030706021934747696,
0.06212753802537918,
-0.0881805568933487,
-0.006605389062315226,
0.04696016386151314,
0.004258493892848492,
0.0884915217757225,
0.07004547119140625,
-0.005066787824034691,
0.015524141490459442,
0.04626891389489174,
-0.04158317297697067,
-0.06555511802434921,
-0.0512252040207386,
0.010733814910054207,
0.008931217715144157,
-0.09162639826536179,
0.10082145780324936,
0.013122417032718658,
-0.024449512362480164,
0.00690283440053463,
-0.001896354602649808,
-0.023099778220057487,
0.02303919941186905,
0.17160406708717346,
0.029961340129375458,
-0.00609134417027235,
-0.04053706303238869,
-0.014698739163577557,
-0.01789528876543045,
-0.03795401379466057,
-0.01575697958469391,
-0.003006139537319541,
0.04116399586200714,
-0.04783497005701065,
0.013681121170520782,
0.057996492832899094,
-0.08271095156669617,
0.05963703989982605,
0.05463013797998428,
-0.06368152797222137,
0.005949119571596384,
0.026526611298322678,
-0.0007529532304033637,
0.04271305352449417,
-0.05976635962724686,
0.06343333423137665,
0.013323834165930748,
-0.0026039050426334143,
0.08295785635709763,
-0.09428383409976959,
0.07431136816740036,
-0.028860675171017647,
-0.06747204810380936,
0.031199872493743896,
0.017402226105332375,
-0.013453629799187183,
0.075227290391922,
-0.01816060021519661,
-0.03792300447821617,
0.028083262965083122,
0.028406737372279167,
-0.025109369307756424,
-0.07642243057489395,
-0.025250576436519623,
0.04090765491127968,
-0.07487369328737259,
0.0755944773554802,
0.08458410948514938,
-0.034396231174468994,
0.011660751886665821,
0.0717235878109932,
-0.05644926056265831,
-0.019452258944511414,
0.014903908595442772,
-0.0766335055232048,
0.0682046115398407,
-0.04488293454051018,
0.05629561468958855,
0.09006796032190323,
-0.050864219665527344,
0.0015379110118374228,
0.011643319390714169,
-0.009257589466869831,
0.014032362960278988,
-0.026850484311580658,
0.015780910849571228,
0.07020498812198639,
0.030088281258940697,
-0.022239550948143005,
0.021300658583641052,
-0.040939927101135254,
-0.04919476434588432,
0.02746380865573883,
0.06312395632266998,
-0.037364888936281204,
0.10650434345006943,
-0.09477411955595016,
0.09903167933225632,
0.026414910331368446,
-0.08884521573781967,
-0.03253966197371483,
-0.01879362016916275,
0.09753728657960892,
0.0260708499699831,
-0.03390724956989288,
-0.04513844475150108,
2.823713203814781e-33,
-0.018166186287999153,
-0.007848380133509636,
-0.03598685562610626,
0.005167239811271429,
0.0015704360557720065,
0.039572156965732574,
0.04787202551960945,
-0.0006105499342083931,
0.04514183849096298,
0.10295370221138,
-0.1094895750284195,
0.002128132153302431,
-0.0065879616886377335,
0.01679401844739914,
0.05097326263785362,
-0.021590083837509155,
0.0839223638176918,
0.062364719808101654,
-0.15397389233112335,
0.007534259930253029,
0.04749169573187828,
-0.026637611910700798,
-0.0017657903954386711,
-0.019228622317314148,
-0.03737509250640869,
0.03169010207056999,
-0.03384014964103699,
0.01586887240409851,
-0.02711672894656658,
0.0031282110139727592,
-0.058689381927251816,
-0.01580457203090191,
0.009955576620995998,
0.06381566822528839,
0.07540775090456009,
0.05319385603070259,
0.05356224626302719,
-0.021842971444129944,
-0.0394652783870697,
-0.030139872804284096,
-0.01839795708656311,
-0.01225440762937069,
0.16667626798152924,
0.03943152353167534,
-0.057891059666872025,
-0.015236454084515572,
-0.004931212868541479,
0.04789721220731735,
-0.0003239275247324258,
0.0021713492460548878,
-0.024888569489121437,
0.020059499889612198,
0.014238249510526657,
-0.07961061596870422,
-0.06004994735121727,
0.02149590663611889,
0.012510851956903934,
-0.018331918865442276,
0.01918121986091137,
-0.0019165701232850552,
-0.10449497401714325,
-0.013075563125312328,
-0.06707790493965149,
-0.00026515976060181856,
-0.0068677859380841255,
0.11164221167564392,
0.025790110230445862,
-0.010146177373826504,
0.005388720892369747,
-0.020911093801259995,
-0.004192447755485773,
0.08477425575256348,
0.023575667291879654,
-0.024329138919711113,
-0.007601140532642603,
0.02529815211892128,
0.019207941368222237,
-0.01491443533450365,
0.0782475620508194,
-0.01300895307213068,
-0.0038895884063094854,
0.0692748948931694,
-0.0545586496591568,
-0.05409863218665123,
-0.012018044479191303,
-0.09393283724784851,
0.017778651788830757,
0.011825080029666424,
-0.107813261449337,
-0.07533201575279236,
-0.09844180196523666,
0.023338844999670982,
0.024967387318611145,
-0.0358501672744751,
0.020587164908647537,
-4.476530076428913e-33,
-0.013149827718734741,
0.04653989523649216,
0.03147147223353386,
-0.0005081733106635511,
-0.076521135866642,
0.013656916096806526,
-0.011317313648760319,
0.09534241259098053,
-0.009582948870956898,
-0.12135004252195358,
-0.0420474037528038,
0.0508384183049202,
0.034602124243974686,
0.042454395443201065,
-0.011205161921679974,
0.02795305848121643,
-0.08769611269235611,
-0.04756801947951317,
0.014121185056865215,
0.03020646423101425,
-0.0011967392638325691,
0.00005927602614974603,
0.0012178205652162433,
0.0384935587644577,
-0.08692213147878647,
-0.0028105529490858316,
-0.0011230608215555549,
0.019161375239491463,
-0.001743296510539949,
0.027981452643871307,
-0.05634832754731178,
-0.06036679819226265,
0.003077043453231454,
-0.008877372369170189,
-0.040231142193078995,
0.06604817509651184,
-0.039859671145677567,
-0.06127304956316948,
0.051848817616701126,
-0.0575297512114048,
0.025919508188962936,
-0.005526418797671795,
-0.1458660066127777,
-0.020206501707434654,
-0.04586385190486908,
0.05542158707976341,
0.03496014326810837,
0.07326352596282959,
-0.05477290228009224,
-0.0011508103925734758,
-0.0350617989897728,
0.03162265941500664,
-0.048548102378845215,
-0.011224303394556046,
-0.035025157034397125,
0.0042003546841442585,
-0.05792650952935219,
-0.01699650287628174,
0.01123098935931921,
-0.10268665850162506,
-0.029499240219593048,
-0.008299336768686771,
0.00472283223643899,
0.07420593500137329,
0.015177682973444462,
-0.004474537447094917,
-0.017080863937735558,
0.007426361553370953,
0.00698319124057889,
0.02825258858501911,
-0.014052885584533215,
0.03615640476346016,
0.047612063586711884,
-0.030388319864869118,
-0.042916566133499146,
-0.12709490954875946,
0.01239702943712473,
-0.051504265516996384,
0.01013844646513462,
0.04780561476945877,
0.07046912610530853,
0.018005495890975,
0.052983608096838,
0.06267193704843521,
0.02659842185676098,
-0.019784042611718178,
-0.027808308601379395,
-0.03796987980604172,
0.02819514274597168,
-0.09091632813215256,
0.07416176050901413,
0.062412820756435394,
0.030497100204229355,
0.046987101435661316,
-0.06504790484905243,
-4.541840681326903e-8,
0.046146173030138016,
0.08453424274921417,
0.02479655109345913,
-0.04996432736515999,
0.06356626749038696,
-0.028232116252183914,
0.040207985788583755,
-0.0017405562102794647,
-0.04554320499300957,
-0.03580256551504135,
0.005113987252116203,
-0.09719276428222656,
-0.018018903210759163,
-0.08162201941013336,
-0.010855481959879398,
0.0826452374458313,
0.04784781485795975,
0.08320490270853043,
-0.021238265559077263,
-0.01651749201118946,
-0.048242371529340744,
0.021164042875170708,
0.01189436949789524,
-0.01344082597643137,
0.09362736344337463,
-0.09943874180316925,
-0.12060695141553879,
0.028275474905967712,
0.08270599693059921,
-0.03526381030678749,
0.006303894799202681,
-0.0029964162968099117,
0.01169628743082285,
0.18084987998008728,
0.01914876699447632,
0.08905099332332611,
-0.01247643493115902,
0.008353807963430882,
-0.05565217509865761,
-0.04190976172685623,
-0.024633213877677917,
0.09230044484138489,
-0.032346904277801514,
-0.027825642377138138,
0.03715505823493004,
0.10720529407262802,
0.04004940390586853,
-0.07567264884710312,
0.05806828662753105,
0.029730789363384247,
0.0005441441317088902,
0.09744849056005478,
-0.05019371584057808,
0.046239838004112244,
0.029398735612630844,
-0.023985644802451134,
-0.04845393821597099,
-0.030362801626324654,
0.0348767414689064,
0.03544663265347481,
-0.05774855613708496,
0.007273105904459953,
-0.04311951994895935,
0.013861932791769505
] | null | null | null | null | null | null | null |
[
-0.05038886517286301,
-0.03396077826619148,
-0.009586896747350693,
0.013797696679830551,
0.049792032688856125,
-0.11525199562311172,
-0.01128194946795702,
0.009599121287465096,
-0.026916921138763428,
-0.02937925234436989,
0.005395336542278528,
-0.013570793904364109,
-0.012842295691370964,
-0.01659327931702137,
-0.019283412024378777,
-0.02382182702422142,
-0.03095444291830063,
0.010827355086803436,
-0.03456621244549751,
0.012219946831464767,
0.030706021934747696,
0.06212753802537918,
-0.0881805568933487,
-0.006605389062315226,
0.04696016386151314,
0.004258493892848492,
0.0884915217757225,
0.07004547119140625,
-0.005066787824034691,
0.015524141490459442,
0.04626891389489174,
-0.04158317297697067,
-0.06555511802434921,
-0.0512252040207386,
0.010733814910054207,
0.008931217715144157,
-0.09162639826536179,
0.10082145780324936,
0.013122417032718658,
-0.024449512362480164,
0.00690283440053463,
-0.001896354602649808,
-0.023099778220057487,
0.02303919941186905,
0.17160406708717346,
0.029961340129375458,
-0.00609134417027235,
-0.04053706303238869,
-0.014698739163577557,
-0.01789528876543045,
-0.03795401379466057,
-0.01575697958469391,
-0.003006139537319541,
0.04116399586200714,
-0.04783497005701065,
0.013681121170520782,
0.057996492832899094,
-0.08271095156669617,
0.05963703989982605,
0.05463013797998428,
-0.06368152797222137,
0.005949119571596384,
0.026526611298322678,
-0.0007529532304033637,
0.04271305352449417,
-0.05976635962724686,
0.06343333423137665,
0.013323834165930748,
-0.0026039050426334143,
0.08295785635709763,
-0.09428383409976959,
0.07431136816740036,
-0.028860675171017647,
-0.06747204810380936,
0.031199872493743896,
0.017402226105332375,
-0.013453629799187183,
0.075227290391922,
-0.01816060021519661,
-0.03792300447821617,
0.028083262965083122,
0.028406737372279167,
-0.025109369307756424,
-0.07642243057489395,
-0.025250576436519623,
0.04090765491127968,
-0.07487369328737259,
0.0755944773554802,
0.08458410948514938,
-0.034396231174468994,
0.011660751886665821,
0.0717235878109932,
-0.05644926056265831,
-0.019452258944511414,
0.014903908595442772,
-0.0766335055232048,
0.0682046115398407,
-0.04488293454051018,
0.05629561468958855,
0.09006796032190323,
-0.050864219665527344,
0.0015379110118374228,
0.011643319390714169,
-0.009257589466869831,
0.014032362960278988,
-0.026850484311580658,
0.015780910849571228,
0.07020498812198639,
0.030088281258940697,
-0.022239550948143005,
0.021300658583641052,
-0.040939927101135254,
-0.04919476434588432,
0.02746380865573883,
0.06312395632266998,
-0.037364888936281204,
0.10650434345006943,
-0.09477411955595016,
0.09903167933225632,
0.026414910331368446,
-0.08884521573781967,
-0.03253966197371483,
-0.01879362016916275,
0.09753728657960892,
0.0260708499699831,
-0.03390724956989288,
-0.04513844475150108,
2.823713203814781e-33,
-0.018166186287999153,
-0.007848380133509636,
-0.03598685562610626,
0.005167239811271429,
0.0015704360557720065,
0.039572156965732574,
0.04787202551960945,
-0.0006105499342083931,
0.04514183849096298,
0.10295370221138,
-0.1094895750284195,
0.002128132153302431,
-0.0065879616886377335,
0.01679401844739914,
0.05097326263785362,
-0.021590083837509155,
0.0839223638176918,
0.062364719808101654,
-0.15397389233112335,
0.007534259930253029,
0.04749169573187828,
-0.026637611910700798,
-0.0017657903954386711,
-0.019228622317314148,
-0.03737509250640869,
0.03169010207056999,
-0.03384014964103699,
0.01586887240409851,
-0.02711672894656658,
0.0031282110139727592,
-0.058689381927251816,
-0.01580457203090191,
0.009955576620995998,
0.06381566822528839,
0.07540775090456009,
0.05319385603070259,
0.05356224626302719,
-0.021842971444129944,
-0.0394652783870697,
-0.030139872804284096,
-0.01839795708656311,
-0.01225440762937069,
0.16667626798152924,
0.03943152353167534,
-0.057891059666872025,
-0.015236454084515572,
-0.004931212868541479,
0.04789721220731735,
-0.0003239275247324258,
0.0021713492460548878,
-0.024888569489121437,
0.020059499889612198,
0.014238249510526657,
-0.07961061596870422,
-0.06004994735121727,
0.02149590663611889,
0.012510851956903934,
-0.018331918865442276,
0.01918121986091137,
-0.0019165701232850552,
-0.10449497401714325,
-0.013075563125312328,
-0.06707790493965149,
-0.00026515976060181856,
-0.0068677859380841255,
0.11164221167564392,
0.025790110230445862,
-0.010146177373826504,
0.005388720892369747,
-0.020911093801259995,
-0.004192447755485773,
0.08477425575256348,
0.023575667291879654,
-0.024329138919711113,
-0.007601140532642603,
0.02529815211892128,
0.019207941368222237,
-0.01491443533450365,
0.0782475620508194,
-0.01300895307213068,
-0.0038895884063094854,
0.0692748948931694,
-0.0545586496591568,
-0.05409863218665123,
-0.012018044479191303,
-0.09393283724784851,
0.017778651788830757,
0.011825080029666424,
-0.107813261449337,
-0.07533201575279236,
-0.09844180196523666,
0.023338844999670982,
0.024967387318611145,
-0.0358501672744751,
0.020587164908647537,
-4.476530076428913e-33,
-0.013149827718734741,
0.04653989523649216,
0.03147147223353386,
-0.0005081733106635511,
-0.076521135866642,
0.013656916096806526,
-0.011317313648760319,
0.09534241259098053,
-0.009582948870956898,
-0.12135004252195358,
-0.0420474037528038,
0.0508384183049202,
0.034602124243974686,
0.042454395443201065,
-0.011205161921679974,
0.02795305848121643,
-0.08769611269235611,
-0.04756801947951317,
0.014121185056865215,
0.03020646423101425,
-0.0011967392638325691,
0.00005927602614974603,
0.0012178205652162433,
0.0384935587644577,
-0.08692213147878647,
-0.0028105529490858316,
-0.0011230608215555549,
0.019161375239491463,
-0.001743296510539949,
0.027981452643871307,
-0.05634832754731178,
-0.06036679819226265,
0.003077043453231454,
-0.008877372369170189,
-0.040231142193078995,
0.06604817509651184,
-0.039859671145677567,
-0.06127304956316948,
0.051848817616701126,
-0.0575297512114048,
0.025919508188962936,
-0.005526418797671795,
-0.1458660066127777,
-0.020206501707434654,
-0.04586385190486908,
0.05542158707976341,
0.03496014326810837,
0.07326352596282959,
-0.05477290228009224,
-0.0011508103925734758,
-0.0350617989897728,
0.03162265941500664,
-0.048548102378845215,
-0.011224303394556046,
-0.035025157034397125,
0.0042003546841442585,
-0.05792650952935219,
-0.01699650287628174,
0.01123098935931921,
-0.10268665850162506,
-0.029499240219593048,
-0.008299336768686771,
0.00472283223643899,
0.07420593500137329,
0.015177682973444462,
-0.004474537447094917,
-0.017080863937735558,
0.007426361553370953,
0.00698319124057889,
0.02825258858501911,
-0.014052885584533215,
0.03615640476346016,
0.047612063586711884,
-0.030388319864869118,
-0.042916566133499146,
-0.12709490954875946,
0.01239702943712473,
-0.051504265516996384,
0.01013844646513462,
0.04780561476945877,
0.07046912610530853,
0.018005495890975,
0.052983608096838,
0.06267193704843521,
0.02659842185676098,
-0.019784042611718178,
-0.027808308601379395,
-0.03796987980604172,
0.02819514274597168,
-0.09091632813215256,
0.07416176050901413,
0.062412820756435394,
0.030497100204229355,
0.046987101435661316,
-0.06504790484905243,
-4.541840681326903e-8,
0.046146173030138016,
0.08453424274921417,
0.02479655109345913,
-0.04996432736515999,
0.06356626749038696,
-0.028232116252183914,
0.040207985788583755,
-0.0017405562102794647,
-0.04554320499300957,
-0.03580256551504135,
0.005113987252116203,
-0.09719276428222656,
-0.018018903210759163,
-0.08162201941013336,
-0.010855481959879398,
0.0826452374458313,
0.04784781485795975,
0.08320490270853043,
-0.021238265559077263,
-0.01651749201118946,
-0.048242371529340744,
0.021164042875170708,
0.01189436949789524,
-0.01344082597643137,
0.09362736344337463,
-0.09943874180316925,
-0.12060695141553879,
0.028275474905967712,
0.08270599693059921,
-0.03526381030678749,
0.006303894799202681,
-0.0029964162968099117,
0.01169628743082285,
0.18084987998008728,
0.01914876699447632,
0.08905099332332611,
-0.01247643493115902,
0.008353807963430882,
-0.05565217509865761,
-0.04190976172685623,
-0.024633213877677917,
0.09230044484138489,
-0.032346904277801514,
-0.027825642377138138,
0.03715505823493004,
0.10720529407262802,
0.04004940390586853,
-0.07567264884710312,
0.05806828662753105,
0.029730789363384247,
0.0005441441317088902,
0.09744849056005478,
-0.05019371584057808,
0.046239838004112244,
0.029398735612630844,
-0.023985644802451134,
-0.04845393821597099,
-0.030362801626324654,
0.0348767414689064,
0.03544663265347481,
-0.05774855613708496,
0.007273105904459953,
-0.04311951994895935,
0.013861932791769505
] |
1402.2852
|
Shmuel Onn
|
Shmuel Onn
|
Robust Integer Programming
| null |
Operations Research Letters, 42:558-560, 2014
| null | null |
math.OC cs.DM cs.DS math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a complexity classification of four variants of robust integer
programming when the underlying Graver basis is given. We discuss applications
to robust multicommodity flows and multidimensional transportation, and
describe an effective parametrization of robust integer programming.
|
[
{
"created": "Wed, 12 Feb 2014 15:34:21 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2014 08:45:47 GMT",
"version": "v2"
}
] |
2014-11-04
|
[
[
"Onn",
"Shmuel",
""
]
] |
[
-0.03092275932431221,
0.01871807500720024,
-0.0630052238702774,
-0.015205386094748974,
0.005331194493919611,
0.010072088800370693,
0.0683547779917717,
-0.019071225076913834,
-0.10151075571775436,
-0.047749992460012436,
-0.0906020849943161,
0.01101547572761774,
0.03892265260219574,
0.061971403658390045,
-0.07234157621860504,
-0.02019597589969635,
0.06445855647325516,
0.049290671944618225,
-0.03785160928964615,
-0.003797804471105337,
-0.001259121228940785,
0.020367663353681564,
-0.05281583592295647,
-0.017128529027104378,
0.02408701181411743,
-0.06282225996255875,
-0.026362407952547073,
0.007979649119079113,
0.07233775407075882,
0.019761953502893448,
-0.032133735716342926,
0.0492137186229229,
0.02911248244345188,
-0.05011693388223648,
0.04737941548228264,
0.06268087774515152,
-0.025886327028274536,
0.014909802936017513,
0.008574658073484898,
0.09723664820194244,
-0.013946853578090668,
0.07640853524208069,
0.007643338292837143,
-0.07958272844552994,
-0.04465259611606598,
-0.01324837002903223,
0.005040458403527737,
-0.028152892366051674,
-0.08776316046714783,
-0.03496082127094269,
0.04887005314230919,
0.02624765783548355,
-0.04391423612833023,
0.01011063251644373,
-0.10540887713432312,
-0.02607017569243908,
-0.0472615547478199,
-0.024846870452165604,
-0.02075454778969288,
-0.01897575519979,
-0.026428239420056343,
-0.03535895422101021,
0.03787405788898468,
-0.053407225757837296,
-0.01393914595246315,
0.02391224540770054,
-0.023822633549571037,
0.002403002232313156,
0.024400286376476288,
0.05418649688363075,
0.021989237517118454,
-0.0014368246775120497,
-0.15745534002780914,
0.02444743551313877,
0.04419168457388878,
-0.03375733271241188,
0.11485881358385086,
-0.02134374901652336,
-0.062117621302604675,
0.018538115546107292,
0.04607272520661354,
0.04679684340953827,
-0.1008930578827858,
-0.020281292498111725,
0.0899273008108139,
-0.04785245656967163,
-0.05493408441543579,
0.061183568090200424,
0.12530088424682617,
0.05043986812233925,
-0.028599537909030914,
0.06100183725357056,
0.07707034051418304,
0.04547616466879845,
0.004336924757808447,
-0.032064903527498245,
0.007237481418997049,
0.01229088380932808,
0.06284535676240921,
0.040477216243743896,
-0.004692924674600363,
0.03312894329428673,
0.03471670672297478,
0.007453149184584618,
0.033909015357494354,
-0.02309817261993885,
0.09206508845090866,
-0.05436309427022934,
-0.005684028845280409,
-0.05212585628032684,
0.05072926729917526,
-0.049024276435375214,
0.06872367858886719,
0.02312508411705494,
-0.05892064794898033,
-0.013521666638553143,
-0.04704590141773224,
0.02475706674158573,
0.03966744989156723,
-0.02250167727470398,
0.020137809216976166,
-0.06354076415300369,
0.06273481994867325,
-0.01149266492575407,
0.056342821568250656,
0.06141659617424011,
-0.002160550793632865,
-4.749460028222678e-34,
-0.0789790228009224,
0.04199327901005745,
0.028035717085003853,
0.044649358838796616,
0.018571652472019196,
-0.013010844588279724,
0.044962503015995026,
-0.0651848241686821,
0.010767584666609764,
-0.01186476368457079,
-0.012946929782629013,
0.02683207578957081,
-0.025173917412757874,
0.0390896275639534,
0.013216032646596432,
-0.026458431035280228,
0.019580252468585968,
0.024030843749642372,
0.0714883804321289,
-0.07351990044116974,
0.08395442366600037,
-0.07713428884744644,
-0.0369059294462204,
-0.038001589477062225,
0.11194463819265366,
-0.03037150762975216,
0.048911817371845245,
-0.057169076055288315,
0.04126031696796417,
0.036435093730688095,
-0.10813291370868683,
0.011903157457709312,
0.0028334592934697866,
0.03804745897650719,
0.03769688308238983,
0.009244791232049465,
-0.08544689416885376,
0.005127104930579662,
0.008455874398350716,
-0.006035913247615099,
-0.07938557863235474,
-0.0038408562541007996,
0.0247818510979414,
-0.0027599388267844915,
-0.03265013545751572,
0.07042235881090164,
0.06017202511429787,
0.0439700111746788,
-0.0988169014453888,
-0.05183737352490425,
-0.07714929431676865,
0.005183253437280655,
0.010261611081659794,
-0.07171301543712616,
-0.05788278207182884,
-0.046581532806158066,
-0.03621499985456467,
0.04850272834300995,
-0.0016028315294533968,
0.11282699555158615,
-0.054984189569950104,
0.027659470215439796,
0.033781059086322784,
-0.06391028314828873,
0.03501066192984581,
0.05309085175395012,
-0.05494317039847374,
-0.040305305272340775,
0.07228756695985794,
0.06199025735259056,
-0.07669202983379364,
-0.00613002385944128,
-0.027962053194642067,
-0.014542896300554276,
0.0495816208422184,
0.0008834345499053597,
0.055146075785160065,
-0.004644559696316719,
-0.03353697806596756,
-0.07816042006015778,
-0.10653608292341232,
0.042117517441511154,
0.057519737631082535,
0.0030731300357729197,
-0.006211020052433014,
-0.044148802757263184,
-0.031604692339897156,
0.02025083266198635,
-0.06767645478248596,
-0.032816845923662186,
-0.019894499331712723,
0.0674791932106018,
0.003221123246476054,
0.008515113964676857,
0.03198809176683426,
-9.755828938592374e-34,
0.002755112713202834,
-0.006856556050479412,
0.0236069206148386,
-0.021909227594733238,
-0.0666017159819603,
-0.044202595949172974,
-0.004429123364388943,
-0.02995733916759491,
0.05358121916651726,
-0.02888897992670536,
-0.08152585476636887,
-0.012070891447365284,
0.03731402009725571,
-0.028453391045331955,
0.0639047920703888,
-0.04329333081841469,
-0.057513099163770676,
0.06826145946979523,
0.013659261167049408,
0.010816690512001514,
0.006476554553955793,
-0.03633914142847061,
-0.08732161670923233,
-0.00861864909529686,
0.010734759271144867,
0.04774283245205879,
-0.141437828540802,
-0.00889152754098177,
0.023646224290132523,
0.10427384823560715,
-0.034412115812301636,
-0.06732290983200073,
-0.0077054984867572784,
-0.017934849485754967,
0.00001703847556200344,
0.006479423027485609,
-0.042564619332551956,
0.01661308854818344,
-0.01900712214410305,
0.021984297782182693,
-0.00036111276131123304,
-0.06006358563899994,
0.050373900681734085,
0.08819124102592468,
0.03818898648023605,
0.08846268802881241,
0.02105257660150528,
-0.06339821964502335,
0.05295008048415184,
-0.044740572571754456,
-0.04275235906243324,
0.025102747604250908,
-0.021647928282618523,
0.08319554477930069,
0.05674387514591217,
0.07774949073791504,
0.02642352320253849,
-0.04993582144379616,
0.06179407238960266,
-0.07863332331180573,
-0.0013793918769806623,
-0.0052305287681519985,
-0.006809717509895563,
0.04689091816544533,
0.0022803107276558876,
-0.0433795265853405,
0.027794459834694862,
-0.15601365268230438,
-0.06946451961994171,
0.05298668518662453,
0.05632786080241203,
0.041591353714466095,
0.033310435712337494,
-0.0030150767415761948,
-0.05698903650045395,
-0.009107901714742184,
0.06908058375120163,
0.1375708281993866,
-0.04699396714568138,
0.05979432538151741,
0.06046612188220024,
0.04610244929790497,
0.05543415993452072,
0.04940679296851158,
-0.010065059177577496,
-0.010402852669358253,
0.08478505164384842,
0.02127295546233654,
-0.0057610697112977505,
0.015578738413751125,
0.0006305246497504413,
-0.021286696195602417,
0.04571489244699478,
-0.015686478465795517,
-0.0586501844227314,
-2.7366690247276892e-8,
-0.021824369207024574,
-0.09781227260828018,
-0.0970587283372879,
-0.12918098270893097,
0.014260347932577133,
-0.014335935935378075,
-0.07301836460828781,
0.02519875019788742,
0.015738768503069878,
0.0863514244556427,
0.0070753698237240314,
0.006494946777820587,
0.025782102718949318,
-0.00874863751232624,
-0.04814722761511803,
0.014910577796399593,
-0.07137563079595566,
0.06026718392968178,
-0.025159036740660667,
-0.04073907062411308,
-0.028394537046551704,
0.009498688392341137,
0.01319156214594841,
0.0743751972913742,
0.060182616114616394,
-0.033004604279994965,
0.018150730058550835,
-0.014049145393073559,
0.10521132498979568,
0.03656637668609619,
-0.014234336093068123,
0.02262727916240692,
0.048282209783792496,
0.09866242855787277,
-0.03757959231734276,
0.02861393801867962,
0.0037405050825327635,
0.015983957797288895,
-0.0733867958188057,
-0.1202472671866417,
0.0005137746338732541,
0.059444863349199295,
-0.08188295364379883,
-0.02562076412141323,
0.09953510761260986,
0.03720463439822197,
-0.009691273793578148,
-0.02291717752814293,
-0.055453598499298096,
0.07624979317188263,
-0.06044533848762512,
0.04008360207080841,
0.030026983469724655,
0.039273444563150406,
0.045843545347452164,
-0.011597415432333946,
-0.07992260158061981,
-0.15103517472743988,
0.0017797541804611683,
-0.012401636689901352,
-0.017937175929546356,
0.02705604024231434,
0.038017451763153076,
-0.007340686395764351
] | null | null | null | null | null | null | null |
[
-0.03092275932431221,
0.01871807500720024,
-0.0630052238702774,
-0.015205386094748974,
0.005331194493919611,
0.010072088800370693,
0.0683547779917717,
-0.019071225076913834,
-0.10151075571775436,
-0.047749992460012436,
-0.0906020849943161,
0.01101547572761774,
0.03892265260219574,
0.061971403658390045,
-0.07234157621860504,
-0.02019597589969635,
0.06445855647325516,
0.049290671944618225,
-0.03785160928964615,
-0.003797804471105337,
-0.001259121228940785,
0.020367663353681564,
-0.05281583592295647,
-0.017128529027104378,
0.02408701181411743,
-0.06282225996255875,
-0.026362407952547073,
0.007979649119079113,
0.07233775407075882,
0.019761953502893448,
-0.032133735716342926,
0.0492137186229229,
0.02911248244345188,
-0.05011693388223648,
0.04737941548228264,
0.06268087774515152,
-0.025886327028274536,
0.014909802936017513,
0.008574658073484898,
0.09723664820194244,
-0.013946853578090668,
0.07640853524208069,
0.007643338292837143,
-0.07958272844552994,
-0.04465259611606598,
-0.01324837002903223,
0.005040458403527737,
-0.028152892366051674,
-0.08776316046714783,
-0.03496082127094269,
0.04887005314230919,
0.02624765783548355,
-0.04391423612833023,
0.01011063251644373,
-0.10540887713432312,
-0.02607017569243908,
-0.0472615547478199,
-0.024846870452165604,
-0.02075454778969288,
-0.01897575519979,
-0.026428239420056343,
-0.03535895422101021,
0.03787405788898468,
-0.053407225757837296,
-0.01393914595246315,
0.02391224540770054,
-0.023822633549571037,
0.002403002232313156,
0.024400286376476288,
0.05418649688363075,
0.021989237517118454,
-0.0014368246775120497,
-0.15745534002780914,
0.02444743551313877,
0.04419168457388878,
-0.03375733271241188,
0.11485881358385086,
-0.02134374901652336,
-0.062117621302604675,
0.018538115546107292,
0.04607272520661354,
0.04679684340953827,
-0.1008930578827858,
-0.020281292498111725,
0.0899273008108139,
-0.04785245656967163,
-0.05493408441543579,
0.061183568090200424,
0.12530088424682617,
0.05043986812233925,
-0.028599537909030914,
0.06100183725357056,
0.07707034051418304,
0.04547616466879845,
0.004336924757808447,
-0.032064903527498245,
0.007237481418997049,
0.01229088380932808,
0.06284535676240921,
0.040477216243743896,
-0.004692924674600363,
0.03312894329428673,
0.03471670672297478,
0.007453149184584618,
0.033909015357494354,
-0.02309817261993885,
0.09206508845090866,
-0.05436309427022934,
-0.005684028845280409,
-0.05212585628032684,
0.05072926729917526,
-0.049024276435375214,
0.06872367858886719,
0.02312508411705494,
-0.05892064794898033,
-0.013521666638553143,
-0.04704590141773224,
0.02475706674158573,
0.03966744989156723,
-0.02250167727470398,
0.020137809216976166,
-0.06354076415300369,
0.06273481994867325,
-0.01149266492575407,
0.056342821568250656,
0.06141659617424011,
-0.002160550793632865,
-4.749460028222678e-34,
-0.0789790228009224,
0.04199327901005745,
0.028035717085003853,
0.044649358838796616,
0.018571652472019196,
-0.013010844588279724,
0.044962503015995026,
-0.0651848241686821,
0.010767584666609764,
-0.01186476368457079,
-0.012946929782629013,
0.02683207578957081,
-0.025173917412757874,
0.0390896275639534,
0.013216032646596432,
-0.026458431035280228,
0.019580252468585968,
0.024030843749642372,
0.0714883804321289,
-0.07351990044116974,
0.08395442366600037,
-0.07713428884744644,
-0.0369059294462204,
-0.038001589477062225,
0.11194463819265366,
-0.03037150762975216,
0.048911817371845245,
-0.057169076055288315,
0.04126031696796417,
0.036435093730688095,
-0.10813291370868683,
0.011903157457709312,
0.0028334592934697866,
0.03804745897650719,
0.03769688308238983,
0.009244791232049465,
-0.08544689416885376,
0.005127104930579662,
0.008455874398350716,
-0.006035913247615099,
-0.07938557863235474,
-0.0038408562541007996,
0.0247818510979414,
-0.0027599388267844915,
-0.03265013545751572,
0.07042235881090164,
0.06017202511429787,
0.0439700111746788,
-0.0988169014453888,
-0.05183737352490425,
-0.07714929431676865,
0.005183253437280655,
0.010261611081659794,
-0.07171301543712616,
-0.05788278207182884,
-0.046581532806158066,
-0.03621499985456467,
0.04850272834300995,
-0.0016028315294533968,
0.11282699555158615,
-0.054984189569950104,
0.027659470215439796,
0.033781059086322784,
-0.06391028314828873,
0.03501066192984581,
0.05309085175395012,
-0.05494317039847374,
-0.040305305272340775,
0.07228756695985794,
0.06199025735259056,
-0.07669202983379364,
-0.00613002385944128,
-0.027962053194642067,
-0.014542896300554276,
0.0495816208422184,
0.0008834345499053597,
0.055146075785160065,
-0.004644559696316719,
-0.03353697806596756,
-0.07816042006015778,
-0.10653608292341232,
0.042117517441511154,
0.057519737631082535,
0.0030731300357729197,
-0.006211020052433014,
-0.044148802757263184,
-0.031604692339897156,
0.02025083266198635,
-0.06767645478248596,
-0.032816845923662186,
-0.019894499331712723,
0.0674791932106018,
0.003221123246476054,
0.008515113964676857,
0.03198809176683426,
-9.755828938592374e-34,
0.002755112713202834,
-0.006856556050479412,
0.0236069206148386,
-0.021909227594733238,
-0.0666017159819603,
-0.044202595949172974,
-0.004429123364388943,
-0.02995733916759491,
0.05358121916651726,
-0.02888897992670536,
-0.08152585476636887,
-0.012070891447365284,
0.03731402009725571,
-0.028453391045331955,
0.0639047920703888,
-0.04329333081841469,
-0.057513099163770676,
0.06826145946979523,
0.013659261167049408,
0.010816690512001514,
0.006476554553955793,
-0.03633914142847061,
-0.08732161670923233,
-0.00861864909529686,
0.010734759271144867,
0.04774283245205879,
-0.141437828540802,
-0.00889152754098177,
0.023646224290132523,
0.10427384823560715,
-0.034412115812301636,
-0.06732290983200073,
-0.0077054984867572784,
-0.017934849485754967,
0.00001703847556200344,
0.006479423027485609,
-0.042564619332551956,
0.01661308854818344,
-0.01900712214410305,
0.021984297782182693,
-0.00036111276131123304,
-0.06006358563899994,
0.050373900681734085,
0.08819124102592468,
0.03818898648023605,
0.08846268802881241,
0.02105257660150528,
-0.06339821964502335,
0.05295008048415184,
-0.044740572571754456,
-0.04275235906243324,
0.025102747604250908,
-0.021647928282618523,
0.08319554477930069,
0.05674387514591217,
0.07774949073791504,
0.02642352320253849,
-0.04993582144379616,
0.06179407238960266,
-0.07863332331180573,
-0.0013793918769806623,
-0.0052305287681519985,
-0.006809717509895563,
0.04689091816544533,
0.0022803107276558876,
-0.0433795265853405,
0.027794459834694862,
-0.15601365268230438,
-0.06946451961994171,
0.05298668518662453,
0.05632786080241203,
0.041591353714466095,
0.033310435712337494,
-0.0030150767415761948,
-0.05698903650045395,
-0.009107901714742184,
0.06908058375120163,
0.1375708281993866,
-0.04699396714568138,
0.05979432538151741,
0.06046612188220024,
0.04610244929790497,
0.05543415993452072,
0.04940679296851158,
-0.010065059177577496,
-0.010402852669358253,
0.08478505164384842,
0.02127295546233654,
-0.0057610697112977505,
0.015578738413751125,
0.0006305246497504413,
-0.021286696195602417,
0.04571489244699478,
-0.015686478465795517,
-0.0586501844227314,
-2.7366690247276892e-8,
-0.021824369207024574,
-0.09781227260828018,
-0.0970587283372879,
-0.12918098270893097,
0.014260347932577133,
-0.014335935935378075,
-0.07301836460828781,
0.02519875019788742,
0.015738768503069878,
0.0863514244556427,
0.0070753698237240314,
0.006494946777820587,
0.025782102718949318,
-0.00874863751232624,
-0.04814722761511803,
0.014910577796399593,
-0.07137563079595566,
0.06026718392968178,
-0.025159036740660667,
-0.04073907062411308,
-0.028394537046551704,
0.009498688392341137,
0.01319156214594841,
0.0743751972913742,
0.060182616114616394,
-0.033004604279994965,
0.018150730058550835,
-0.014049145393073559,
0.10521132498979568,
0.03656637668609619,
-0.014234336093068123,
0.02262727916240692,
0.048282209783792496,
0.09866242855787277,
-0.03757959231734276,
0.02861393801867962,
0.0037405050825327635,
0.015983957797288895,
-0.0733867958188057,
-0.1202472671866417,
0.0005137746338732541,
0.059444863349199295,
-0.08188295364379883,
-0.02562076412141323,
0.09953510761260986,
0.03720463439822197,
-0.009691273793578148,
-0.02291717752814293,
-0.055453598499298096,
0.07624979317188263,
-0.06044533848762512,
0.04008360207080841,
0.030026983469724655,
0.039273444563150406,
0.045843545347452164,
-0.011597415432333946,
-0.07992260158061981,
-0.15103517472743988,
0.0017797541804611683,
-0.012401636689901352,
-0.017937175929546356,
0.02705604024231434,
0.038017451763153076,
-0.007340686395764351
] |
1402.2861
|
Manuel Fiolhais
|
Julio G\"u\'emez and Manuel Fiolhais
|
From mechanics to thermodynamics -- analysis of selected examples
|
15 pages, 5 figures
|
European Journal of Physics 34 (2013) 345-357
|
10.1088/0143-0807/34/2/345
| null |
physics.class-ph physics.ed-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present and discuss a selected set of problems of classical mechanics and
thermodynamics. The discussion is based on the use of the impulse-momentum
equation simultaneously with the centre-of-mass (pseudo-work) equation or with
the first law of thermodynamics, depending on the nature of the problem.
Thermodynamical aspects of classical mechanics, namely problems involving
non-conservative forces or variation of mechanical energy are discussed, in
different reference frames, in connection with the use of one or the other
energy equation, and with the compliance of the Principle of Relativity.
|
[
{
"created": "Tue, 11 Feb 2014 16:50:34 GMT",
"version": "v1"
}
] |
2014-02-17
|
[
[
"Güémez",
"Julio",
""
],
[
"Fiolhais",
"Manuel",
""
]
] |
[
-0.08612224459648132,
0.04267216846346855,
-0.0003630965657066554,
0.0326700359582901,
0.02336938865482807,
0.05052950605750084,
0.003461703658103943,
0.06414192914962769,
0.051410213112831116,
0.008302019909024239,
0.08615097403526306,
-0.020531373098492622,
-0.05572741478681564,
0.04257892444729805,
-0.028669239953160286,
-0.09029676765203476,
-0.024438058957457542,
0.08078302443027496,
0.0177938099950552,
0.05489417538046837,
0.011592123657464981,
0.016073046252131462,
0.005087260622531176,
0.05361637473106384,
0.03890502080321312,
-0.013435658067464828,
-0.007172297220677137,
0.09184962511062622,
-0.03906494006514549,
0.0328952856361866,
-0.0016934220911934972,
-0.02270101010799408,
-0.06213008239865303,
0.014704099856317043,
0.05529508367180824,
0.0871785581111908,
-0.04080796241760254,
0.013985325582325459,
-0.017432641237974167,
0.008810130879282951,
0.0031262454576790333,
-0.006519593298435211,
-0.014059064909815788,
0.08754436671733856,
0.02058524265885353,
0.007613400928676128,
0.035600028932094574,
-0.01273482758551836,
0.05847885087132454,
-0.05197121948003769,
-0.08903767913579941,
-0.011949392035603523,
-0.057704221457242966,
0.046166229993104935,
0.06396415084600449,
-0.00019718972907867283,
0.05573662742972374,
-0.010316310450434685,
0.017581313848495483,
-0.0769011527299881,
0.008666565641760826,
-0.0006664915708824992,
-0.042539920657873154,
0.023189695551991463,
0.032392024993896484,
0.03660761937499046,
0.030946625396609306,
0.06390911340713501,
0.0027028366457670927,
0.04822069779038429,
-0.015669899061322212,
0.028684206306934357,
-0.006104661151766777,
-0.08391356468200684,
0.012182011269032955,
-0.11520028859376907,
0.01186315156519413,
0.02897702157497406,
-0.00893184170126915,
0.012147609144449234,
-0.010398575104773045,
-0.1308874487876892,
-0.052543528378009796,
-0.04255085438489914,
-0.028512023389339447,
0.09303288161754608,
0.0312652587890625,
0.011598852463066578,
0.04965027794241905,
-0.05025424435734749,
-0.058213457465171814,
-0.10489201545715332,
-0.004381299950182438,
-0.035510189831256866,
0.09515249729156494,
0.02487027458846569,
-0.0147412633523345,
-0.017188647761940956,
0.04103848338127136,
-0.05601939931511879,
0.01380077376961708,
-0.04895418882369995,
0.010052497498691082,
0.11051040142774582,
0.020625799894332886,
0.0689426138997078,
-0.07276872545480728,
-0.051114603877067566,
0.01716379076242447,
0.03559749200940132,
0.07115289568901062,
-0.0019906454253941774,
-0.01750839129090309,
0.012736797332763672,
-0.021047508344054222,
-0.06807015091180801,
0.07391926646232605,
-0.029135337099432945,
0.05810524523258209,
-0.06881553679704666,
-0.011156397871673107,
-0.024153342470526695,
0.013394256122410297,
0.009469928219914436,
-0.05683310702443123,
-0.041420429944992065,
0.08668258041143417,
6.201707534379284e-34,
-0.07664534449577332,
-0.10585954040288925,
0.04671041667461395,
-0.050145070999860764,
0.025190895423293114,
-0.05286749452352524,
-0.0812467709183693,
0.1236155703663826,
0.06572256982326508,
-0.08189495652914047,
0.011633383110165596,
-0.04439404234290123,
0.019321830943226814,
-0.039943329989910126,
-0.04022711142897606,
-0.022667016834020615,
0.03719854727387428,
0.032560400664806366,
0.07917578518390656,
-0.0032897633500397205,
-0.05209030583500862,
0.08093951642513275,
0.037495166063308716,
0.03399542346596718,
-0.016937589272856712,
0.04073578119277954,
0.016132835298776627,
0.006695732939988375,
-0.039334170520305634,
-0.00888401921838522,
-0.12101037800312042,
-0.03244182839989662,
-0.05991198867559433,
0.05595148354768753,
-0.0548788383603096,
0.06532201915979385,
-0.06262533366680145,
0.04386589676141739,
-0.04229557514190674,
0.04225846379995346,
-0.052904170006513596,
0.026059452444314957,
-0.03121543861925602,
0.006476550828665495,
-0.013046451844274998,
-0.0027373996563255787,
0.09316625446081161,
0.07642067223787308,
-0.046955179423093796,
0.028036924079060555,
-0.03415722772479057,
-0.015647584572434425,
0.028782088309526443,
-0.04341014474630356,
0.018226992338895798,
0.021982304751873016,
-0.008790411055088043,
0.09222127497196198,
-0.049487147480249405,
-0.05145890638232231,
0.018440209329128265,
0.04535200446844101,
0.155928835272789,
-0.0021078919526189566,
0.05046749860048294,
0.014681324362754822,
-0.12433858960866928,
0.027030136436223984,
0.06807321310043335,
-0.00427041994407773,
-0.06687399744987488,
0.009438704699277878,
0.02107427641749382,
0.011859595775604248,
0.04847049340605736,
0.0928652286529541,
0.006461823359131813,
-0.003950255457311869,
-0.10815650969743729,
0.02924720011651516,
-0.032720983028411865,
-0.004384147003293037,
0.015021312050521374,
0.031424783170223236,
0.010039362125098705,
0.053316377103328705,
-0.04335171356797218,
-0.004717791918665171,
0.0030882612336426973,
0.02687258832156658,
-0.07037986814975739,
-0.06903979182243347,
0.017139440402388573,
0.03418980538845062,
0.03534971922636032,
-3.738165340478971e-33,
-0.004598510917276144,
0.04107999429106712,
-0.03597288578748703,
0.06786869466304779,
0.020836753770709038,
0.0015485594049096107,
-0.022296179085969925,
-0.07295127213001251,
-0.11451640725135803,
-0.0037267834413796663,
-0.007207327522337437,
-0.07086972147226334,
-0.047092340886592865,
-0.047668687999248505,
-0.015945415943861008,
0.08513543754816055,
0.002180129988119006,
0.0032068972941488028,
-0.11325202137231827,
0.026581114158034325,
0.011431444436311722,
0.11954215168952942,
0.043873585760593414,
0.015247154049575329,
-0.03596746176481247,
-0.014554722234606743,
-0.03660329803824425,
-0.03865028917789459,
-0.041373513638973236,
-0.00384820275940001,
0.03578398376703262,
-0.028576219454407692,
-0.026438094675540924,
-0.04100387543439865,
-0.07738844305276871,
0.03464580327272415,
-0.018940934911370277,
0.13526061177253723,
0.06291742622852325,
0.0372159369289875,
0.030222488567233086,
0.03179444745182991,
0.016501067206263542,
0.0005237951409071684,
0.0028258112724870443,
-0.09114446491003036,
0.03046460635960102,
-0.04312661662697792,
0.006356099620461464,
0.05410577356815338,
-0.025260312482714653,
-0.06978071480989456,
0.03045407496392727,
-0.05963882431387901,
-0.07526838034391403,
0.006429584696888924,
-0.014490149915218353,
0.018650950863957405,
0.028217894956469536,
0.019574716687202454,
0.0037935369182378054,
-0.09883251041173935,
0.09314928948879242,
0.04731212183833122,
-0.024271661415696144,
0.010843504220247269,
-0.08208747208118439,
0.005483143962919712,
-0.0259785708039999,
-0.034270331263542175,
0.05183727294206619,
0.04557482525706291,
-0.008782603777945042,
0.11213642358779907,
0.014769202098250389,
0.0750192180275917,
0.13238200545310974,
-0.018695136532187462,
0.0399550162255764,
-0.03624900057911873,
-0.03211929276585579,
0.02038409560918808,
0.06515790522098541,
-0.02661706693470478,
-0.11079109460115433,
-0.017004990950226784,
-0.03813354671001434,
-0.04723614454269409,
0.03228558972477913,
-0.07427657395601273,
-0.019974732771515846,
-0.00611510407179594,
0.07329637557268143,
-0.016077693551778793,
-0.007405385375022888,
-5.0397321871287204e-8,
0.002026956295594573,
-0.01834774762392044,
0.07070574909448624,
-0.004376108758151531,
-0.013593566603958607,
-0.028889112174510956,
-0.08110679686069489,
-0.04546612501144409,
-0.010615549050271511,
0.004457422532141209,
-0.035403236746788025,
-0.0006199822528287768,
0.03968264162540436,
0.0419936440885067,
-0.10251462459564209,
0.007869492284953594,
-0.006640166975557804,
-0.02624860405921936,
-0.038350582122802734,
-0.10125166922807693,
0.06902386248111725,
-0.03536427766084671,
0.017090605571866035,
0.05125974118709564,
0.04195268079638481,
0.056694332510232925,
-0.04017870873212814,
-0.049745749682188034,
0.06426490098237991,
-0.009453468956053257,
-0.05646654590964317,
0.02244654856622219,
-0.02884565107524395,
-0.0643434226512909,
-0.06406427174806595,
-0.08659517765045166,
0.06471484899520874,
0.0675572082400322,
-0.10050825774669647,
-0.02837672084569931,
0.11681187897920609,
0.0244302898645401,
-0.054165564477443695,
0.035511139780282974,
-0.022954396903514862,
0.0333053395152092,
-0.1132148802280426,
0.023299366235733032,
-0.023813322186470032,
0.08854895085096359,
0.019645260646939278,
0.05719194933772087,
-0.026535727083683014,
0.05348723754286766,
0.024494722485542297,
-0.03227319195866585,
0.007106412202119827,
-0.03791900351643562,
-0.011075377464294434,
-0.092575803399086,
0.05390170216560364,
0.06356999278068542,
-0.00035776395816355944,
0.011812333017587662
] | null | null | null | null | null | null | null |
[
-0.08612224459648132,
0.04267216846346855,
-0.0003630965657066554,
0.0326700359582901,
0.02336938865482807,
0.05052950605750084,
0.003461703658103943,
0.06414192914962769,
0.051410213112831116,
0.008302019909024239,
0.08615097403526306,
-0.020531373098492622,
-0.05572741478681564,
0.04257892444729805,
-0.028669239953160286,
-0.09029676765203476,
-0.024438058957457542,
0.08078302443027496,
0.0177938099950552,
0.05489417538046837,
0.011592123657464981,
0.016073046252131462,
0.005087260622531176,
0.05361637473106384,
0.03890502080321312,
-0.013435658067464828,
-0.007172297220677137,
0.09184962511062622,
-0.03906494006514549,
0.0328952856361866,
-0.0016934220911934972,
-0.02270101010799408,
-0.06213008239865303,
0.014704099856317043,
0.05529508367180824,
0.0871785581111908,
-0.04080796241760254,
0.013985325582325459,
-0.017432641237974167,
0.008810130879282951,
0.0031262454576790333,
-0.006519593298435211,
-0.014059064909815788,
0.08754436671733856,
0.02058524265885353,
0.007613400928676128,
0.035600028932094574,
-0.01273482758551836,
0.05847885087132454,
-0.05197121948003769,
-0.08903767913579941,
-0.011949392035603523,
-0.057704221457242966,
0.046166229993104935,
0.06396415084600449,
-0.00019718972907867283,
0.05573662742972374,
-0.010316310450434685,
0.017581313848495483,
-0.0769011527299881,
0.008666565641760826,
-0.0006664915708824992,
-0.042539920657873154,
0.023189695551991463,
0.032392024993896484,
0.03660761937499046,
0.030946625396609306,
0.06390911340713501,
0.0027028366457670927,
0.04822069779038429,
-0.015669899061322212,
0.028684206306934357,
-0.006104661151766777,
-0.08391356468200684,
0.012182011269032955,
-0.11520028859376907,
0.01186315156519413,
0.02897702157497406,
-0.00893184170126915,
0.012147609144449234,
-0.010398575104773045,
-0.1308874487876892,
-0.052543528378009796,
-0.04255085438489914,
-0.028512023389339447,
0.09303288161754608,
0.0312652587890625,
0.011598852463066578,
0.04965027794241905,
-0.05025424435734749,
-0.058213457465171814,
-0.10489201545715332,
-0.004381299950182438,
-0.035510189831256866,
0.09515249729156494,
0.02487027458846569,
-0.0147412633523345,
-0.017188647761940956,
0.04103848338127136,
-0.05601939931511879,
0.01380077376961708,
-0.04895418882369995,
0.010052497498691082,
0.11051040142774582,
0.020625799894332886,
0.0689426138997078,
-0.07276872545480728,
-0.051114603877067566,
0.01716379076242447,
0.03559749200940132,
0.07115289568901062,
-0.0019906454253941774,
-0.01750839129090309,
0.012736797332763672,
-0.021047508344054222,
-0.06807015091180801,
0.07391926646232605,
-0.029135337099432945,
0.05810524523258209,
-0.06881553679704666,
-0.011156397871673107,
-0.024153342470526695,
0.013394256122410297,
0.009469928219914436,
-0.05683310702443123,
-0.041420429944992065,
0.08668258041143417,
6.201707534379284e-34,
-0.07664534449577332,
-0.10585954040288925,
0.04671041667461395,
-0.050145070999860764,
0.025190895423293114,
-0.05286749452352524,
-0.0812467709183693,
0.1236155703663826,
0.06572256982326508,
-0.08189495652914047,
0.011633383110165596,
-0.04439404234290123,
0.019321830943226814,
-0.039943329989910126,
-0.04022711142897606,
-0.022667016834020615,
0.03719854727387428,
0.032560400664806366,
0.07917578518390656,
-0.0032897633500397205,
-0.05209030583500862,
0.08093951642513275,
0.037495166063308716,
0.03399542346596718,
-0.016937589272856712,
0.04073578119277954,
0.016132835298776627,
0.006695732939988375,
-0.039334170520305634,
-0.00888401921838522,
-0.12101037800312042,
-0.03244182839989662,
-0.05991198867559433,
0.05595148354768753,
-0.0548788383603096,
0.06532201915979385,
-0.06262533366680145,
0.04386589676141739,
-0.04229557514190674,
0.04225846379995346,
-0.052904170006513596,
0.026059452444314957,
-0.03121543861925602,
0.006476550828665495,
-0.013046451844274998,
-0.0027373996563255787,
0.09316625446081161,
0.07642067223787308,
-0.046955179423093796,
0.028036924079060555,
-0.03415722772479057,
-0.015647584572434425,
0.028782088309526443,
-0.04341014474630356,
0.018226992338895798,
0.021982304751873016,
-0.008790411055088043,
0.09222127497196198,
-0.049487147480249405,
-0.05145890638232231,
0.018440209329128265,
0.04535200446844101,
0.155928835272789,
-0.0021078919526189566,
0.05046749860048294,
0.014681324362754822,
-0.12433858960866928,
0.027030136436223984,
0.06807321310043335,
-0.00427041994407773,
-0.06687399744987488,
0.009438704699277878,
0.02107427641749382,
0.011859595775604248,
0.04847049340605736,
0.0928652286529541,
0.006461823359131813,
-0.003950255457311869,
-0.10815650969743729,
0.02924720011651516,
-0.032720983028411865,
-0.004384147003293037,
0.015021312050521374,
0.031424783170223236,
0.010039362125098705,
0.053316377103328705,
-0.04335171356797218,
-0.004717791918665171,
0.0030882612336426973,
0.02687258832156658,
-0.07037986814975739,
-0.06903979182243347,
0.017139440402388573,
0.03418980538845062,
0.03534971922636032,
-3.738165340478971e-33,
-0.004598510917276144,
0.04107999429106712,
-0.03597288578748703,
0.06786869466304779,
0.020836753770709038,
0.0015485594049096107,
-0.022296179085969925,
-0.07295127213001251,
-0.11451640725135803,
-0.0037267834413796663,
-0.007207327522337437,
-0.07086972147226334,
-0.047092340886592865,
-0.047668687999248505,
-0.015945415943861008,
0.08513543754816055,
0.002180129988119006,
0.0032068972941488028,
-0.11325202137231827,
0.026581114158034325,
0.011431444436311722,
0.11954215168952942,
0.043873585760593414,
0.015247154049575329,
-0.03596746176481247,
-0.014554722234606743,
-0.03660329803824425,
-0.03865028917789459,
-0.041373513638973236,
-0.00384820275940001,
0.03578398376703262,
-0.028576219454407692,
-0.026438094675540924,
-0.04100387543439865,
-0.07738844305276871,
0.03464580327272415,
-0.018940934911370277,
0.13526061177253723,
0.06291742622852325,
0.0372159369289875,
0.030222488567233086,
0.03179444745182991,
0.016501067206263542,
0.0005237951409071684,
0.0028258112724870443,
-0.09114446491003036,
0.03046460635960102,
-0.04312661662697792,
0.006356099620461464,
0.05410577356815338,
-0.025260312482714653,
-0.06978071480989456,
0.03045407496392727,
-0.05963882431387901,
-0.07526838034391403,
0.006429584696888924,
-0.014490149915218353,
0.018650950863957405,
0.028217894956469536,
0.019574716687202454,
0.0037935369182378054,
-0.09883251041173935,
0.09314928948879242,
0.04731212183833122,
-0.024271661415696144,
0.010843504220247269,
-0.08208747208118439,
0.005483143962919712,
-0.0259785708039999,
-0.034270331263542175,
0.05183727294206619,
0.04557482525706291,
-0.008782603777945042,
0.11213642358779907,
0.014769202098250389,
0.0750192180275917,
0.13238200545310974,
-0.018695136532187462,
0.0399550162255764,
-0.03624900057911873,
-0.03211929276585579,
0.02038409560918808,
0.06515790522098541,
-0.02661706693470478,
-0.11079109460115433,
-0.017004990950226784,
-0.03813354671001434,
-0.04723614454269409,
0.03228558972477913,
-0.07427657395601273,
-0.019974732771515846,
-0.00611510407179594,
0.07329637557268143,
-0.016077693551778793,
-0.007405385375022888,
-5.0397321871287204e-8,
0.002026956295594573,
-0.01834774762392044,
0.07070574909448624,
-0.004376108758151531,
-0.013593566603958607,
-0.028889112174510956,
-0.08110679686069489,
-0.04546612501144409,
-0.010615549050271511,
0.004457422532141209,
-0.035403236746788025,
-0.0006199822528287768,
0.03968264162540436,
0.0419936440885067,
-0.10251462459564209,
0.007869492284953594,
-0.006640166975557804,
-0.02624860405921936,
-0.038350582122802734,
-0.10125166922807693,
0.06902386248111725,
-0.03536427766084671,
0.017090605571866035,
0.05125974118709564,
0.04195268079638481,
0.056694332510232925,
-0.04017870873212814,
-0.049745749682188034,
0.06426490098237991,
-0.009453468956053257,
-0.05646654590964317,
0.02244654856622219,
-0.02884565107524395,
-0.0643434226512909,
-0.06406427174806595,
-0.08659517765045166,
0.06471484899520874,
0.0675572082400322,
-0.10050825774669647,
-0.02837672084569931,
0.11681187897920609,
0.0244302898645401,
-0.054165564477443695,
0.035511139780282974,
-0.022954396903514862,
0.0333053395152092,
-0.1132148802280426,
0.023299366235733032,
-0.023813322186470032,
0.08854895085096359,
0.019645260646939278,
0.05719194933772087,
-0.026535727083683014,
0.05348723754286766,
0.024494722485542297,
-0.03227319195866585,
0.007106412202119827,
-0.03791900351643562,
-0.011075377464294434,
-0.092575803399086,
0.05390170216560364,
0.06356999278068542,
-0.00035776395816355944,
0.011812333017587662
] |
1402.2863
|
Liang Dai
|
Liang Dai, Mojtaba Soltanalian, Kristiaan Pelckmans
|
On the Randomized Kaczmarz Algorithm
|
This paper will appear in IEEE Signal processing letters, vol. 21,
no. 3, March 2014
| null |
10.1109/LSP.2013.2294376
| null |
cs.SY math.OC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Randomized Kaczmarz Algorithm is a randomized method which aims at
solving a consistent system of over determined linear equations. This note
discusses how to find an optimized randomization scheme for this algorithm,
which is related to the question raised by \cite{c2}. Illustrative experiments
are conducted to support the findings.
|
[
{
"created": "Wed, 12 Feb 2014 16:01:50 GMT",
"version": "v1"
}
] |
2016-11-17
|
[
[
"Dai",
"Liang",
""
],
[
"Soltanalian",
"Mojtaba",
""
],
[
"Pelckmans",
"Kristiaan",
""
]
] |
[
-0.08414646238088608,
0.0500752255320549,
-0.03155919909477234,
0.011351851746439934,
0.03222986310720444,
-0.03760860115289688,
0.03402448818087578,
-0.06687359511852264,
-0.05761180445551872,
0.09289077669382095,
-0.011831015348434448,
0.1331644207239151,
0.023145275190472603,
-0.03670695796608925,
-0.07132202386856079,
0.028220657259225845,
-0.027711227536201477,
0.0027125582564622164,
0.0062436447478830814,
-0.019142504781484604,
-0.06793852895498276,
0.0031128753907978535,
-0.011439589783549309,
-0.02651449851691723,
0.06889700144529343,
-0.08699004352092743,
0.08607334643602371,
0.052587516605854034,
0.013011419214308262,
-0.03536560758948326,
0.09381324797868729,
0.03571660444140434,
0.08216549456119537,
-0.0840943455696106,
-0.024296119809150696,
-0.051495261490345,
-0.025936074554920197,
-0.05738833174109459,
-0.08024943619966507,
0.06323231756687164,
-0.07942166179418564,
0.0489816814661026,
-0.01985801011323929,
0.030517898499965668,
0.02079026587307453,
-0.02587267942726612,
-0.03943510726094246,
-0.005516506265848875,
0.025505071505904198,
0.00664192670956254,
-0.07505357265472412,
-0.0044992053881287575,
-0.06830941885709763,
-0.013828509487211704,
0.007858692668378353,
-0.14852406084537506,
0.013588872738182545,
-0.022191110998392105,
-0.017323896288871765,
0.019159262999892235,
0.05546275153756142,
-0.00339059391990304,
-0.09871627390384674,
0.050283756107091904,
0.0319254994392395,
-0.0037217026110738516,
0.032579392194747925,
0.031069207936525345,
-0.0202155951410532,
0.03738432005047798,
-0.053474511951208115,
0.017204036936163902,
-0.01242997869849205,
0.06741564720869064,
0.049145035445690155,
-0.0190769974142313,
0.022909218445420265,
-0.09406691044569016,
-0.031534917652606964,
0.055139318108558655,
-0.029499711468815804,
0.00699622044339776,
-0.0272612813860178,
-0.10192513465881348,
0.003547421656548977,
-0.049642741680145264,
-0.04412515461444855,
0.0033647436648607254,
0.1351354569196701,
-0.024279402568936348,
0.024889791384339333,
0.028703315183520317,
-0.06119020655751228,
-0.00828083511441946,
-0.07025519013404846,
0.00808103196322918,
0.10321701318025589,
-0.0246483962982893,
0.09441962093114853,
0.07603641599416733,
0.06839780509471893,
-0.07207982987165451,
0.09245773404836655,
-0.01631280779838562,
0.03896786645054817,
-0.02768026851117611,
0.06340769678354263,
0.008398489095270634,
-0.018357764929533005,
-0.104049913585186,
0.00024318182840943336,
0.0032677690032869577,
-0.036226287484169006,
0.08988146483898163,
0.0008139432757161558,
-0.05413820222020149,
0.1287894994020462,
0.004400075413286686,
0.006594229955226183,
-0.006345126777887344,
-0.04256309196352959,
0.051205769181251526,
0.07114654779434204,
-0.01283311564475298,
-0.040559250861406326,
0.12071429193019867,
-0.013243654742836952,
1.2114664294617429e-34,
-0.04548368230462074,
-0.021090099588036537,
-0.009003059938549995,
-0.009037863463163376,
-0.054288797080516815,
0.02812264673411846,
0.06650253385305405,
0.004621295724064112,
-0.004270111210644245,
0.07557343691587448,
-0.03526056557893753,
-0.003471141681075096,
0.06272035092115402,
-0.00775556918233633,
-0.001010920968838036,
-0.06133507192134857,
-0.02500380203127861,
0.08515983074903488,
-0.015229647047817707,
-0.03625897690653801,
0.1425390988588333,
-0.042983170598745346,
0.0027939786668866873,
-0.11722581833600998,
0.010729712434113026,
-0.04854682460427284,
0.03915124759078026,
0.011856130324304104,
-0.01495039276778698,
0.013378501869738102,
-0.03692594915628433,
0.08152373880147934,
-0.0650736466050148,
0.03506021946668625,
0.023317132145166397,
0.0641319751739502,
0.03197404742240906,
-0.004056453704833984,
-0.055941950529813766,
-0.09703052043914795,
0.026984522119164467,
-0.022507717832922935,
0.012440858408808708,
0.005416810978204012,
-0.016819879412651062,
0.038465630263090134,
-0.06355633586645126,
0.0696045458316803,
0.126966655254364,
-0.045435581356287,
0.003404705785214901,
0.0023158995900303125,
-0.03302387520670891,
0.0920012816786766,
0.009021149016916752,
0.08866695314645767,
0.023555029183626175,
-0.04957779496908188,
0.03606889396905899,
0.02805246040225029,
-0.06730304658412933,
-0.055663518607616425,
0.02248166874051094,
-0.021276438608765602,
0.06950610131025314,
0.0261645819991827,
0.007097805384546518,
-0.10011955350637436,
0.03602306917309761,
0.04658866673707962,
-0.013550370000302792,
-0.06328141689300537,
0.01856389082968235,
-0.005064934957772493,
-0.03386050462722778,
-0.0632791742682457,
0.04633360728621483,
0.0595959834754467,
-0.025342494249343872,
-0.05236022174358368,
-0.049926888197660446,
0.09419745206832886,
-0.036750759929418564,
-0.03795355558395386,
-0.03730977699160576,
-0.06699679791927338,
-0.031434156000614166,
-0.05710185691714287,
-0.08375755697488785,
-0.07952120900154114,
-0.019490469247102737,
0.023586926981806755,
0.06465968489646912,
0.021286657080054283,
0.04137549549341202,
-2.5947375571921537e-33,
-0.07214042544364929,
-0.0027332401368767023,
0.05108635872602463,
0.031982772052288055,
0.07080663740634918,
-0.08472880721092224,
-0.03285255655646324,
-0.09953786432743073,
-0.01391526497900486,
-0.03703631833195686,
0.0070738219656050205,
-0.04279974848031998,
-0.015358539298176765,
0.04189492389559746,
0.09008125960826874,
-0.002912437543272972,
0.03286895528435707,
0.0055750589817762375,
0.03858733922243118,
0.054746076464653015,
-0.04510326683521271,
0.0389951653778553,
0.01771043799817562,
-0.04301110655069351,
0.034063514322042465,
-0.03752724453806877,
-0.007849334739148617,
0.04586775228381157,
-0.0042243460193276405,
0.01235155202448368,
-0.09906220436096191,
-0.029260484501719475,
-0.08025314658880234,
-0.003197456942871213,
0.02413523569703102,
0.028278931975364685,
-0.029147911816835403,
0.034459345042705536,
0.04565281420946121,
0.02898789942264557,
0.06077132374048233,
0.0460309237241745,
-0.07604220509529114,
0.013797719962894917,
0.0983874499797821,
0.02712673507630825,
-0.009980542585253716,
-0.007957189343869686,
0.030106239020824432,
0.014407825656235218,
0.0391145758330822,
-0.010645336471498013,
-0.022071940824389458,
0.03752405196428299,
-0.023637371137738228,
0.07331448048353195,
-0.09823998063802719,
0.0545424222946167,
0.0403701551258564,
0.029131652787327766,
-0.07144422084093094,
-0.042156707495450974,
0.0005278195021674037,
0.03829715773463249,
0.03140491619706154,
-0.02911721169948578,
0.0011109636398032308,
-0.038842104375362396,
0.01129431463778019,
0.05663960054516792,
0.0004315693222451955,
0.02904735878109932,
0.03537160903215408,
0.03912731632590294,
0.007902050390839577,
-0.09377160668373108,
-0.006279171910136938,
-0.01499550323933363,
-0.053830087184906006,
-0.05741092935204506,
0.051770515739917755,
0.027384435757994652,
0.07033912092447281,
0.015563486143946648,
-0.014102495275437832,
-0.04514573514461517,
0.010542076081037521,
-0.09997259825468063,
0.10070528090000153,
-0.05846547335386276,
-0.012187001295387745,
0.04068879410624504,
0.06187070533633232,
-0.02146512269973755,
-0.08577585965394974,
-3.7220395654458116e-8,
0.006548775359988213,
0.006013455335050821,
-0.06414040923118591,
0.02567092701792717,
0.044176455587148666,
0.0427834689617157,
-0.09158748388290405,
-0.046183474361896515,
0.0012786119477823377,
-0.08237970620393753,
0.03607446327805519,
0.043862417340278625,
-0.026886500418186188,
0.030410686507821083,
-0.11184081435203552,
0.05232316255569458,
-0.12112727016210556,
-0.0029158692341297865,
0.0009410585043951869,
0.007179406937211752,
0.0025015005376189947,
0.05094599351286888,
-0.05046018958091736,
0.011430909857153893,
0.017285367473959923,
0.10742432624101639,
-0.013349942862987518,
0.02979653887450695,
0.13715599477291107,
0.062205176800489426,
-0.011757425032556057,
0.0018951193196699023,
-0.027564765885472298,
0.0796596109867096,
0.05050472915172577,
0.0545407310128212,
0.019879328086972237,
-0.01471672859042883,
-0.06805448234081268,
-0.0551602877676487,
-0.011502019129693508,
0.026919106021523476,
0.0073050931096076965,
-0.024903517216444016,
0.008825113996863365,
0.05170920491218567,
-0.05042216181755066,
0.00027629578835330904,
0.04686274379491806,
-0.0271456278860569,
-0.03955288976430893,
-0.033734746277332306,
-0.04041743278503418,
-0.003962594084441662,
0.08132749050855637,
-0.0303130354732275,
-0.02653944492340088,
0.0055971830151975155,
0.024397723376750946,
-0.035470303148031235,
-0.03277779743075371,
0.023728013038635254,
-0.04175708070397377,
0.0014587208861485124
] | null | null | null | null | null | null | null |
[
-0.08414646238088608,
0.0500752255320549,
-0.03155919909477234,
0.011351851746439934,
0.03222986310720444,
-0.03760860115289688,
0.03402448818087578,
-0.06687359511852264,
-0.05761180445551872,
0.09289077669382095,
-0.011831015348434448,
0.1331644207239151,
0.023145275190472603,
-0.03670695796608925,
-0.07132202386856079,
0.028220657259225845,
-0.027711227536201477,
0.0027125582564622164,
0.0062436447478830814,
-0.019142504781484604,
-0.06793852895498276,
0.0031128753907978535,
-0.011439589783549309,
-0.02651449851691723,
0.06889700144529343,
-0.08699004352092743,
0.08607334643602371,
0.052587516605854034,
0.013011419214308262,
-0.03536560758948326,
0.09381324797868729,
0.03571660444140434,
0.08216549456119537,
-0.0840943455696106,
-0.024296119809150696,
-0.051495261490345,
-0.025936074554920197,
-0.05738833174109459,
-0.08024943619966507,
0.06323231756687164,
-0.07942166179418564,
0.0489816814661026,
-0.01985801011323929,
0.030517898499965668,
0.02079026587307453,
-0.02587267942726612,
-0.03943510726094246,
-0.005516506265848875,
0.025505071505904198,
0.00664192670956254,
-0.07505357265472412,
-0.0044992053881287575,
-0.06830941885709763,
-0.013828509487211704,
0.007858692668378353,
-0.14852406084537506,
0.013588872738182545,
-0.022191110998392105,
-0.017323896288871765,
0.019159262999892235,
0.05546275153756142,
-0.00339059391990304,
-0.09871627390384674,
0.050283756107091904,
0.0319254994392395,
-0.0037217026110738516,
0.032579392194747925,
0.031069207936525345,
-0.0202155951410532,
0.03738432005047798,
-0.053474511951208115,
0.017204036936163902,
-0.01242997869849205,
0.06741564720869064,
0.049145035445690155,
-0.0190769974142313,
0.022909218445420265,
-0.09406691044569016,
-0.031534917652606964,
0.055139318108558655,
-0.029499711468815804,
0.00699622044339776,
-0.0272612813860178,
-0.10192513465881348,
0.003547421656548977,
-0.049642741680145264,
-0.04412515461444855,
0.0033647436648607254,
0.1351354569196701,
-0.024279402568936348,
0.024889791384339333,
0.028703315183520317,
-0.06119020655751228,
-0.00828083511441946,
-0.07025519013404846,
0.00808103196322918,
0.10321701318025589,
-0.0246483962982893,
0.09441962093114853,
0.07603641599416733,
0.06839780509471893,
-0.07207982987165451,
0.09245773404836655,
-0.01631280779838562,
0.03896786645054817,
-0.02768026851117611,
0.06340769678354263,
0.008398489095270634,
-0.018357764929533005,
-0.104049913585186,
0.00024318182840943336,
0.0032677690032869577,
-0.036226287484169006,
0.08988146483898163,
0.0008139432757161558,
-0.05413820222020149,
0.1287894994020462,
0.004400075413286686,
0.006594229955226183,
-0.006345126777887344,
-0.04256309196352959,
0.051205769181251526,
0.07114654779434204,
-0.01283311564475298,
-0.040559250861406326,
0.12071429193019867,
-0.013243654742836952,
1.2114664294617429e-34,
-0.04548368230462074,
-0.021090099588036537,
-0.009003059938549995,
-0.009037863463163376,
-0.054288797080516815,
0.02812264673411846,
0.06650253385305405,
0.004621295724064112,
-0.004270111210644245,
0.07557343691587448,
-0.03526056557893753,
-0.003471141681075096,
0.06272035092115402,
-0.00775556918233633,
-0.001010920968838036,
-0.06133507192134857,
-0.02500380203127861,
0.08515983074903488,
-0.015229647047817707,
-0.03625897690653801,
0.1425390988588333,
-0.042983170598745346,
0.0027939786668866873,
-0.11722581833600998,
0.010729712434113026,
-0.04854682460427284,
0.03915124759078026,
0.011856130324304104,
-0.01495039276778698,
0.013378501869738102,
-0.03692594915628433,
0.08152373880147934,
-0.0650736466050148,
0.03506021946668625,
0.023317132145166397,
0.0641319751739502,
0.03197404742240906,
-0.004056453704833984,
-0.055941950529813766,
-0.09703052043914795,
0.026984522119164467,
-0.022507717832922935,
0.012440858408808708,
0.005416810978204012,
-0.016819879412651062,
0.038465630263090134,
-0.06355633586645126,
0.0696045458316803,
0.126966655254364,
-0.045435581356287,
0.003404705785214901,
0.0023158995900303125,
-0.03302387520670891,
0.0920012816786766,
0.009021149016916752,
0.08866695314645767,
0.023555029183626175,
-0.04957779496908188,
0.03606889396905899,
0.02805246040225029,
-0.06730304658412933,
-0.055663518607616425,
0.02248166874051094,
-0.021276438608765602,
0.06950610131025314,
0.0261645819991827,
0.007097805384546518,
-0.10011955350637436,
0.03602306917309761,
0.04658866673707962,
-0.013550370000302792,
-0.06328141689300537,
0.01856389082968235,
-0.005064934957772493,
-0.03386050462722778,
-0.0632791742682457,
0.04633360728621483,
0.0595959834754467,
-0.025342494249343872,
-0.05236022174358368,
-0.049926888197660446,
0.09419745206832886,
-0.036750759929418564,
-0.03795355558395386,
-0.03730977699160576,
-0.06699679791927338,
-0.031434156000614166,
-0.05710185691714287,
-0.08375755697488785,
-0.07952120900154114,
-0.019490469247102737,
0.023586926981806755,
0.06465968489646912,
0.021286657080054283,
0.04137549549341202,
-2.5947375571921537e-33,
-0.07214042544364929,
-0.0027332401368767023,
0.05108635872602463,
0.031982772052288055,
0.07080663740634918,
-0.08472880721092224,
-0.03285255655646324,
-0.09953786432743073,
-0.01391526497900486,
-0.03703631833195686,
0.0070738219656050205,
-0.04279974848031998,
-0.015358539298176765,
0.04189492389559746,
0.09008125960826874,
-0.002912437543272972,
0.03286895528435707,
0.0055750589817762375,
0.03858733922243118,
0.054746076464653015,
-0.04510326683521271,
0.0389951653778553,
0.01771043799817562,
-0.04301110655069351,
0.034063514322042465,
-0.03752724453806877,
-0.007849334739148617,
0.04586775228381157,
-0.0042243460193276405,
0.01235155202448368,
-0.09906220436096191,
-0.029260484501719475,
-0.08025314658880234,
-0.003197456942871213,
0.02413523569703102,
0.028278931975364685,
-0.029147911816835403,
0.034459345042705536,
0.04565281420946121,
0.02898789942264557,
0.06077132374048233,
0.0460309237241745,
-0.07604220509529114,
0.013797719962894917,
0.0983874499797821,
0.02712673507630825,
-0.009980542585253716,
-0.007957189343869686,
0.030106239020824432,
0.014407825656235218,
0.0391145758330822,
-0.010645336471498013,
-0.022071940824389458,
0.03752405196428299,
-0.023637371137738228,
0.07331448048353195,
-0.09823998063802719,
0.0545424222946167,
0.0403701551258564,
0.029131652787327766,
-0.07144422084093094,
-0.042156707495450974,
0.0005278195021674037,
0.03829715773463249,
0.03140491619706154,
-0.02911721169948578,
0.0011109636398032308,
-0.038842104375362396,
0.01129431463778019,
0.05663960054516792,
0.0004315693222451955,
0.02904735878109932,
0.03537160903215408,
0.03912731632590294,
0.007902050390839577,
-0.09377160668373108,
-0.006279171910136938,
-0.01499550323933363,
-0.053830087184906006,
-0.05741092935204506,
0.051770515739917755,
0.027384435757994652,
0.07033912092447281,
0.015563486143946648,
-0.014102495275437832,
-0.04514573514461517,
0.010542076081037521,
-0.09997259825468063,
0.10070528090000153,
-0.05846547335386276,
-0.012187001295387745,
0.04068879410624504,
0.06187070533633232,
-0.02146512269973755,
-0.08577585965394974,
-3.7220395654458116e-8,
0.006548775359988213,
0.006013455335050821,
-0.06414040923118591,
0.02567092701792717,
0.044176455587148666,
0.0427834689617157,
-0.09158748388290405,
-0.046183474361896515,
0.0012786119477823377,
-0.08237970620393753,
0.03607446327805519,
0.043862417340278625,
-0.026886500418186188,
0.030410686507821083,
-0.11184081435203552,
0.05232316255569458,
-0.12112727016210556,
-0.0029158692341297865,
0.0009410585043951869,
0.007179406937211752,
0.0025015005376189947,
0.05094599351286888,
-0.05046018958091736,
0.011430909857153893,
0.017285367473959923,
0.10742432624101639,
-0.013349942862987518,
0.02979653887450695,
0.13715599477291107,
0.062205176800489426,
-0.011757425032556057,
0.0018951193196699023,
-0.027564765885472298,
0.0796596109867096,
0.05050472915172577,
0.0545407310128212,
0.019879328086972237,
-0.01471672859042883,
-0.06805448234081268,
-0.0551602877676487,
-0.011502019129693508,
0.026919106021523476,
0.0073050931096076965,
-0.024903517216444016,
0.008825113996863365,
0.05170920491218567,
-0.05042216181755066,
0.00027629578835330904,
0.04686274379491806,
-0.0271456278860569,
-0.03955288976430893,
-0.033734746277332306,
-0.04041743278503418,
-0.003962594084441662,
0.08132749050855637,
-0.0303130354732275,
-0.02653944492340088,
0.0055971830151975155,
0.024397723376750946,
-0.035470303148031235,
-0.03277779743075371,
0.023728013038635254,
-0.04175708070397377,
0.0014587208861485124
] |
1402.2864
|
Liang Dai
|
Liang Dai, Kristiaan Pelckmans
|
Sparse Estimation From Noisy Observations of an Overdetermined Linear
System
|
This paper is provisionally accepted by Automatica
| null | null | null |
cs.SY stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This note studies a method for the efficient estimation of a finite number of
unknown parameters from linear equations, which are perturbed by Gaussian
noise.
In case the unknown parameters have only few nonzero entries, the proposed
estimator performs more efficiently than a traditional approach.
The method consists of three steps:
(1) a classical Least Squares Estimate (LSE),
(2) the support is recovered through a Linear Programming (LP) optimization
problem which can be computed using a soft-thresholding step,
(3) a de-biasing step using a LSE on the estimated support set.
The main contribution of this note is a formal derivation of an associated
ORACLE property of the final estimate.
That is, when the number of samples is large enough, the estimate is shown to
equal the LSE based on the support of the {\em true} parameters.
|
[
{
"created": "Wed, 12 Feb 2014 16:02:43 GMT",
"version": "v1"
},
{
"created": "Sun, 25 May 2014 18:44:04 GMT",
"version": "v2"
}
] |
2014-05-27
|
[
[
"Dai",
"Liang",
""
],
[
"Pelckmans",
"Kristiaan",
""
]
] |
[
-0.09964288771152496,
-0.003623728174716234,
0.0498596653342247,
0.038515325635671616,
0.03958258405327797,
-0.010127916932106018,
0.05355549976229668,
-0.007644372992217541,
-0.012853535823523998,
0.04572206363081932,
-0.02346029318869114,
0.03017197549343109,
0.08409956842660904,
-0.07292761653661728,
-0.060958247631788254,
0.028878718614578247,
-0.02208578959107399,
0.020768731832504272,
-0.036630019545555115,
-0.03204888477921486,
0.031484514474868774,
0.009796682745218277,
-0.08700050413608551,
-0.030172375962138176,
0.10388404130935669,
-0.03393501415848732,
0.03579035773873329,
-0.052532654255628586,
-0.03765276074409485,
0.03670302778482437,
0.025329744443297386,
-0.03061624988913536,
0.06285621970891953,
-0.047215741127729416,
0.02901049517095089,
-0.07712151855230331,
-0.04260094091296196,
0.01994144171476364,
0.03663187846541405,
0.08811959624290466,
-0.01963151805102825,
0.056740738451480865,
-0.0373985581099987,
-0.02496921271085739,
0.07881725579500198,
0.042590487748384476,
0.07051186263561249,
-0.06359492987394333,
-0.040477097034454346,
0.0489855632185936,
-0.005492987111210823,
0.010602783411741257,
-0.03221588954329491,
-0.04339117184281349,
-0.005522746127098799,
-0.11266330629587173,
-0.024906432256102562,
-0.020335575565695763,
0.05775010213255882,
0.15560559928417206,
-0.028374139219522476,
-0.03597249835729599,
0.028733249753713608,
0.010699084959924221,
0.006092790514230728,
0.020109456032514572,
0.04493866488337517,
-0.008099819533526897,
-0.035448018461465836,
0.024553928524255753,
-0.09218689054250717,
0.09304259717464447,
-0.066322460770607,
-0.024880966171622276,
-0.0032242233864963055,
-0.03462270274758339,
0.04746032878756523,
-0.003908761311322451,
0.044249601662158966,
-0.0040390645153820515,
0.07067510485649109,
-0.01316206157207489,
-0.04563814401626587,
-0.11688948422670364,
0.050120335072278976,
-0.0024347323924303055,
0.022230662405490875,
0.023039523512125015,
0.08740277588367462,
-0.021110178902745247,
-0.029163043946027756,
-0.029379555955529213,
-0.1303301751613617,
0.10629674047231674,
-0.0033000512048602104,
0.012792839668691158,
-0.01030401885509491,
-0.024275178089737892,
0.05745230242609978,
0.09841758012771606,
-0.02853667177259922,
0.03484480082988739,
0.07706307619810104,
0.008813099004328251,
0.0013739130226895213,
-0.030200615525245667,
0.08680051565170288,
0.013019450940191746,
0.014776482246816158,
-0.0441448800265789,
-0.034804411232471466,
-0.02006489410996437,
-0.0008173583191819489,
0.019069615751504898,
-0.016253283247351646,
-0.031461235135793686,
0.10125535726547241,
0.017895333468914032,
-0.0022830693051218987,
0.0015752129256725311,
-0.016417641192674637,
-0.07423944026231766,
0.05759038031101227,
0.03695940598845482,
0.03330020233988762,
0.11190897226333618,
-0.10266048461198807,
5.245283912741503e-33,
-0.07270938903093338,
0.038082122802734375,
-0.024866614490747452,
-0.0927657037973404,
-0.03177913278341293,
0.029920406639575958,
0.03162704408168793,
-0.021659210324287415,
0.05146729573607445,
0.06504721939563751,
-0.017356885597109795,
-0.07104195654392242,
-0.08568191528320312,
-0.044491808861494064,
0.021042998880147934,
0.08990627527236938,
0.00934872217476368,
0.07740640640258789,
-0.008539455011487007,
-0.03384094312787056,
0.002410269109532237,
-0.0791301429271698,
0.01058870553970337,
-0.035927463322877884,
0.0007284440798684955,
-0.0027427240274846554,
0.09330149739980698,
-0.005096769426018,
-0.020279133692383766,
-0.0022716938983649015,
0.028649302199482918,
-0.0087069571018219,
-0.03457542881369591,
-0.04907519370317459,
0.015888389199972153,
-0.019935782998800278,
0.02314254827797413,
0.0358545295894146,
0.02772769145667553,
0.010487318970263004,
0.018000800162553787,
0.07700967788696289,
0.09592228382825851,
-0.03590177372097969,
-0.05364178866147995,
0.02344026230275631,
-0.04003710299730301,
0.01040787622332573,
0.027333395555615425,
-0.022208906710147858,
-0.09219586104154587,
-0.03016430139541626,
-0.05294834077358246,
0.001737870741635561,
-0.004067721776664257,
-0.03486187011003494,
-0.10868234932422638,
-0.028583234176039696,
0.012326845899224281,
0.0038523429539054632,
-0.019000688567757607,
-0.0595385916531086,
0.05411224812269211,
-0.07435450702905655,
0.09991729259490967,
0.11399072408676147,
0.01422164961695671,
-0.03155931085348129,
0.007036605384200811,
0.004292329773306847,
0.03719698637723923,
-0.0775149017572403,
0.012733552604913712,
-0.032773226499557495,
-0.006054392550140619,
-0.017290813848376274,
0.061989083886146545,
0.010494085028767586,
0.05442454665899277,
-0.0178366806358099,
-0.04408618062734604,
0.05298663675785065,
-0.01735631562769413,
-0.051706213504076004,
0.012655861675739288,
-0.007626356091350317,
-0.0037856625858694315,
-0.03422635421156883,
-0.025557365268468857,
-0.05917370319366455,
-0.09036561846733093,
0.004752668086439371,
-0.15075112879276276,
0.013623652048408985,
-0.05280596390366554,
-3.796193619107313e-33,
0.007784026674926281,
0.08252016454935074,
0.048142097890377045,
-0.015540095046162605,
-0.0006724232225678861,
-0.07556094974279404,
-0.05877268686890602,
-0.0028095063753426075,
0.0028998747002333403,
0.03351891413331032,
-0.016674917191267014,
-0.031452421098947525,
-0.03428748995065689,
0.035809002816677094,
0.05451607331633568,
0.07846839725971222,
-0.01745595782995224,
0.038186315447092056,
0.015527556650340557,
0.028010612353682518,
-0.042764246463775635,
0.0049633001908659935,
0.055545445531606674,
0.11492377519607544,
0.02284945175051689,
-0.035796668380498886,
-0.03907277062535286,
0.10929509252309799,
-0.004328280221670866,
-0.07249106466770172,
-0.09506187587976456,
-0.02369566448032856,
-0.06744424998760223,
-0.006885231006890535,
-0.01622840017080307,
0.000342821964295581,
-0.020747190341353416,
0.07680186629295349,
0.04814545810222626,
0.01542784832417965,
0.04585444554686546,
0.062005650252103806,
-0.04568648710846901,
-0.0762091651558876,
-0.008053828030824661,
0.013733984902501106,
0.06399798393249512,
0.06308455020189285,
-0.0134919798001647,
-0.040912926197052,
0.04395442456007004,
0.02708171308040619,
0.027764324098825455,
0.07893609255552292,
-0.009734122082591057,
0.04822893813252449,
-0.05127561837434769,
0.028267983347177505,
-0.009394129738211632,
-0.03181402012705803,
-0.024464938789606094,
0.02585860900580883,
-0.0501120463013649,
0.05650170147418976,
-0.0034385889302939177,
0.09944692254066467,
0.0068141319788992405,
0.05484898388385773,
-0.02526717260479927,
0.04958488792181015,
-0.021746449172496796,
-0.03221482038497925,
0.03470759466290474,
0.10067886859178543,
-0.03614635393023491,
-0.011713012121617794,
-0.0467522107064724,
-0.15549017488956451,
0.0018906770274043083,
-0.010260222479701042,
0.04385135695338249,
0.008538720197975636,
0.07213933020830154,
-0.020133454352617264,
0.004199658520519733,
0.024005163460969925,
0.03848419710993767,
-0.035585660487413406,
0.05815764144062996,
-0.029468854889273643,
-0.02968626283109188,
0.03706275671720505,
0.013497321866452694,
-0.028840884566307068,
-0.08318739384412766,
-5.928806956490007e-8,
-0.08187849819660187,
0.006887545343488455,
-0.007228405214846134,
-0.07708743214607239,
0.0782211497426033,
0.0433332659304142,
-0.03209703043103218,
-0.02736034244298935,
-0.053153716027736664,
-0.11292080581188202,
0.10209229588508606,
-0.037290241569280624,
-0.019969556480646133,
0.06488395482301712,
-0.03082670085132122,
0.04535054787993431,
-0.04606373608112335,
0.10317215323448181,
0.0036750740837305784,
-0.0014394741738215089,
0.017615724354982376,
0.06475932151079178,
-0.009537788107991219,
-0.020196089521050453,
0.12429644912481308,
-0.02525174617767334,
0.04673813655972481,
0.08329525589942932,
0.06241669878363609,
0.07520942389965057,
-0.022434761747717857,
0.01761225238442421,
0.07273020595312119,
-0.020328085869550705,
0.0562409833073616,
0.09283275157213211,
-0.0036530226934701204,
-0.03300615772604942,
-0.07783009856939316,
-0.05577117204666138,
-0.053379982709884644,
0.06454083323478699,
-0.025642896071076393,
-0.039709582924842834,
0.0841987356543541,
0.000673111469950527,
-0.007958916015923023,
-0.08111415058374405,
0.01887628063559532,
-0.0575399175286293,
0.10518962144851685,
-0.020739054307341576,
0.01842479035258293,
0.062309712171554565,
-0.024269597604870796,
-0.07580270618200302,
-0.025577668100595474,
-0.011557056568562984,
0.047583382576704025,
-0.059477079659700394,
0.01225597970187664,
0.0019052615389227867,
-0.007081130985170603,
0.03823817893862724
] | null | null | null | null | null | null | null |
[
-0.09964288771152496,
-0.003623728174716234,
0.0498596653342247,
0.038515325635671616,
0.03958258405327797,
-0.010127916932106018,
0.05355549976229668,
-0.007644372992217541,
-0.012853535823523998,
0.04572206363081932,
-0.02346029318869114,
0.03017197549343109,
0.08409956842660904,
-0.07292761653661728,
-0.060958247631788254,
0.028878718614578247,
-0.02208578959107399,
0.020768731832504272,
-0.036630019545555115,
-0.03204888477921486,
0.031484514474868774,
0.009796682745218277,
-0.08700050413608551,
-0.030172375962138176,
0.10388404130935669,
-0.03393501415848732,
0.03579035773873329,
-0.052532654255628586,
-0.03765276074409485,
0.03670302778482437,
0.025329744443297386,
-0.03061624988913536,
0.06285621970891953,
-0.047215741127729416,
0.02901049517095089,
-0.07712151855230331,
-0.04260094091296196,
0.01994144171476364,
0.03663187846541405,
0.08811959624290466,
-0.01963151805102825,
0.056740738451480865,
-0.0373985581099987,
-0.02496921271085739,
0.07881725579500198,
0.042590487748384476,
0.07051186263561249,
-0.06359492987394333,
-0.040477097034454346,
0.0489855632185936,
-0.005492987111210823,
0.010602783411741257,
-0.03221588954329491,
-0.04339117184281349,
-0.005522746127098799,
-0.11266330629587173,
-0.024906432256102562,
-0.020335575565695763,
0.05775010213255882,
0.15560559928417206,
-0.028374139219522476,
-0.03597249835729599,
0.028733249753713608,
0.010699084959924221,
0.006092790514230728,
0.020109456032514572,
0.04493866488337517,
-0.008099819533526897,
-0.035448018461465836,
0.024553928524255753,
-0.09218689054250717,
0.09304259717464447,
-0.066322460770607,
-0.024880966171622276,
-0.0032242233864963055,
-0.03462270274758339,
0.04746032878756523,
-0.003908761311322451,
0.044249601662158966,
-0.0040390645153820515,
0.07067510485649109,
-0.01316206157207489,
-0.04563814401626587,
-0.11688948422670364,
0.050120335072278976,
-0.0024347323924303055,
0.022230662405490875,
0.023039523512125015,
0.08740277588367462,
-0.021110178902745247,
-0.029163043946027756,
-0.029379555955529213,
-0.1303301751613617,
0.10629674047231674,
-0.0033000512048602104,
0.012792839668691158,
-0.01030401885509491,
-0.024275178089737892,
0.05745230242609978,
0.09841758012771606,
-0.02853667177259922,
0.03484480082988739,
0.07706307619810104,
0.008813099004328251,
0.0013739130226895213,
-0.030200615525245667,
0.08680051565170288,
0.013019450940191746,
0.014776482246816158,
-0.0441448800265789,
-0.034804411232471466,
-0.02006489410996437,
-0.0008173583191819489,
0.019069615751504898,
-0.016253283247351646,
-0.031461235135793686,
0.10125535726547241,
0.017895333468914032,
-0.0022830693051218987,
0.0015752129256725311,
-0.016417641192674637,
-0.07423944026231766,
0.05759038031101227,
0.03695940598845482,
0.03330020233988762,
0.11190897226333618,
-0.10266048461198807,
5.245283912741503e-33,
-0.07270938903093338,
0.038082122802734375,
-0.024866614490747452,
-0.0927657037973404,
-0.03177913278341293,
0.029920406639575958,
0.03162704408168793,
-0.021659210324287415,
0.05146729573607445,
0.06504721939563751,
-0.017356885597109795,
-0.07104195654392242,
-0.08568191528320312,
-0.044491808861494064,
0.021042998880147934,
0.08990627527236938,
0.00934872217476368,
0.07740640640258789,
-0.008539455011487007,
-0.03384094312787056,
0.002410269109532237,
-0.0791301429271698,
0.01058870553970337,
-0.035927463322877884,
0.0007284440798684955,
-0.0027427240274846554,
0.09330149739980698,
-0.005096769426018,
-0.020279133692383766,
-0.0022716938983649015,
0.028649302199482918,
-0.0087069571018219,
-0.03457542881369591,
-0.04907519370317459,
0.015888389199972153,
-0.019935782998800278,
0.02314254827797413,
0.0358545295894146,
0.02772769145667553,
0.010487318970263004,
0.018000800162553787,
0.07700967788696289,
0.09592228382825851,
-0.03590177372097969,
-0.05364178866147995,
0.02344026230275631,
-0.04003710299730301,
0.01040787622332573,
0.027333395555615425,
-0.022208906710147858,
-0.09219586104154587,
-0.03016430139541626,
-0.05294834077358246,
0.001737870741635561,
-0.004067721776664257,
-0.03486187011003494,
-0.10868234932422638,
-0.028583234176039696,
0.012326845899224281,
0.0038523429539054632,
-0.019000688567757607,
-0.0595385916531086,
0.05411224812269211,
-0.07435450702905655,
0.09991729259490967,
0.11399072408676147,
0.01422164961695671,
-0.03155931085348129,
0.007036605384200811,
0.004292329773306847,
0.03719698637723923,
-0.0775149017572403,
0.012733552604913712,
-0.032773226499557495,
-0.006054392550140619,
-0.017290813848376274,
0.061989083886146545,
0.010494085028767586,
0.05442454665899277,
-0.0178366806358099,
-0.04408618062734604,
0.05298663675785065,
-0.01735631562769413,
-0.051706213504076004,
0.012655861675739288,
-0.007626356091350317,
-0.0037856625858694315,
-0.03422635421156883,
-0.025557365268468857,
-0.05917370319366455,
-0.09036561846733093,
0.004752668086439371,
-0.15075112879276276,
0.013623652048408985,
-0.05280596390366554,
-3.796193619107313e-33,
0.007784026674926281,
0.08252016454935074,
0.048142097890377045,
-0.015540095046162605,
-0.0006724232225678861,
-0.07556094974279404,
-0.05877268686890602,
-0.0028095063753426075,
0.0028998747002333403,
0.03351891413331032,
-0.016674917191267014,
-0.031452421098947525,
-0.03428748995065689,
0.035809002816677094,
0.05451607331633568,
0.07846839725971222,
-0.01745595782995224,
0.038186315447092056,
0.015527556650340557,
0.028010612353682518,
-0.042764246463775635,
0.0049633001908659935,
0.055545445531606674,
0.11492377519607544,
0.02284945175051689,
-0.035796668380498886,
-0.03907277062535286,
0.10929509252309799,
-0.004328280221670866,
-0.07249106466770172,
-0.09506187587976456,
-0.02369566448032856,
-0.06744424998760223,
-0.006885231006890535,
-0.01622840017080307,
0.000342821964295581,
-0.020747190341353416,
0.07680186629295349,
0.04814545810222626,
0.01542784832417965,
0.04585444554686546,
0.062005650252103806,
-0.04568648710846901,
-0.0762091651558876,
-0.008053828030824661,
0.013733984902501106,
0.06399798393249512,
0.06308455020189285,
-0.0134919798001647,
-0.040912926197052,
0.04395442456007004,
0.02708171308040619,
0.027764324098825455,
0.07893609255552292,
-0.009734122082591057,
0.04822893813252449,
-0.05127561837434769,
0.028267983347177505,
-0.009394129738211632,
-0.03181402012705803,
-0.024464938789606094,
0.02585860900580883,
-0.0501120463013649,
0.05650170147418976,
-0.0034385889302939177,
0.09944692254066467,
0.0068141319788992405,
0.05484898388385773,
-0.02526717260479927,
0.04958488792181015,
-0.021746449172496796,
-0.03221482038497925,
0.03470759466290474,
0.10067886859178543,
-0.03614635393023491,
-0.011713012121617794,
-0.0467522107064724,
-0.15549017488956451,
0.0018906770274043083,
-0.010260222479701042,
0.04385135695338249,
0.008538720197975636,
0.07213933020830154,
-0.020133454352617264,
0.004199658520519733,
0.024005163460969925,
0.03848419710993767,
-0.035585660487413406,
0.05815764144062996,
-0.029468854889273643,
-0.02968626283109188,
0.03706275671720505,
0.013497321866452694,
-0.028840884566307068,
-0.08318739384412766,
-5.928806956490007e-8,
-0.08187849819660187,
0.006887545343488455,
-0.007228405214846134,
-0.07708743214607239,
0.0782211497426033,
0.0433332659304142,
-0.03209703043103218,
-0.02736034244298935,
-0.053153716027736664,
-0.11292080581188202,
0.10209229588508606,
-0.037290241569280624,
-0.019969556480646133,
0.06488395482301712,
-0.03082670085132122,
0.04535054787993431,
-0.04606373608112335,
0.10317215323448181,
0.0036750740837305784,
-0.0014394741738215089,
0.017615724354982376,
0.06475932151079178,
-0.009537788107991219,
-0.020196089521050453,
0.12429644912481308,
-0.02525174617767334,
0.04673813655972481,
0.08329525589942932,
0.06241669878363609,
0.07520942389965057,
-0.022434761747717857,
0.01761225238442421,
0.07273020595312119,
-0.020328085869550705,
0.0562409833073616,
0.09283275157213211,
-0.0036530226934701204,
-0.03300615772604942,
-0.07783009856939316,
-0.05577117204666138,
-0.053379982709884644,
0.06454083323478699,
-0.025642896071076393,
-0.039709582924842834,
0.0841987356543541,
0.000673111469950527,
-0.007958916015923023,
-0.08111415058374405,
0.01887628063559532,
-0.0575399175286293,
0.10518962144851685,
-0.020739054307341576,
0.01842479035258293,
0.062309712171554565,
-0.024269597604870796,
-0.07580270618200302,
-0.025577668100595474,
-0.011557056568562984,
0.047583382576704025,
-0.059477079659700394,
0.01225597970187664,
0.0019052615389227867,
-0.007081130985170603,
0.03823817893862724
] |
1402.2867
|
Natalie Kerracher
|
Natalie Kerracher, Jessie Kennedy, and Kevin Chalmers
|
Tasks for Temporal Graph Visualisation
|
42 pages
| null | null | null |
cs.OH
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In [1], we describe the design and development of a task taxonomy for
temporal graph visualisation. This paper details the full instantiation of that
task taxonomy. Our task taxonomy is based on the Andrienko framework [2], which
uses a systematic approach to develop a formal task framework for visual tasks
specifically associated with Exploratory Data Analysis. The Andrienko framework
is intended to be applicable to all types of data, however, it does not
consider relational (graph) data. We therefore extended both their data model
and task framework for temporal graph data, and instantiated the extended
version to produce a comprehensive list of tasks of interest during exploratory
analysis of temporal graph data. As expected, our instantiation of the
framework resulted in a very large task list; with more than 144 variations of
attribute based tasks alone, it is too large to fit in a standard journal
paper, hence we provide the detailed listing in this document.
|
[
{
"created": "Mon, 10 Feb 2014 09:54:05 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Kerracher",
"Natalie",
""
],
[
"Kennedy",
"Jessie",
""
],
[
"Chalmers",
"Kevin",
""
]
] |
[
0.03291729465126991,
0.030248694121837616,
-0.03656900301575661,
-0.023976804688572884,
0.05903620645403862,
-0.030753841623663902,
-0.0503363162279129,
-0.03689779341220856,
-0.028992364183068275,
0.004777788184583187,
-0.04428677260875702,
-0.026130346581339836,
0.032362885773181915,
0.14639966189861298,
0.011809607967734337,
0.005305872764438391,
0.04205334559082985,
-0.07783693075180054,
0.023326462134718895,
-0.06470582634210587,
0.024858439341187477,
-0.03288035839796066,
-0.013148493133485317,
0.010923504829406738,
0.033958207815885544,
0.026083718985319138,
-0.00330793927423656,
-0.05077921226620674,
0.03040878102183342,
0.009526832029223442,
-0.0073695858009159565,
-0.009189206175506115,
0.018447207286953926,
0.06628651916980743,
-0.0764525905251503,
0.06975281983613968,
-0.001619625254534185,
0.0634072795510292,
-0.027654854580760002,
-0.03405198082327843,
-0.04923796281218529,
-0.003153677098453045,
-0.0018572919070720673,
0.03901263698935509,
0.01523538026958704,
0.011415068060159683,
-0.09000460803508759,
-0.09237492084503174,
-0.04055686295032501,
0.07784582674503326,
-0.122698113322258,
-0.04310305044054985,
0.03470834717154503,
-0.05812973156571388,
0.07846572995185852,
0.09524771571159363,
-0.001033894601278007,
-0.04201377555727959,
0.009498910047113895,
0.008657073602080345,
-0.002009244868531823,
-0.013671841472387314,
-0.02750396355986595,
0.0174305010586977,
0.0028200189117342234,
0.05381215363740921,
-0.0032199432607740164,
-0.010672209784388542,
0.04873044043779373,
0.010968437418341637,
-0.017832957208156586,
0.02913806587457657,
-0.037175487726926804,
-0.03628454729914665,
-0.029001260176301003,
0.054233845323324203,
-0.07484470307826996,
-0.027644896879792213,
-0.08019496500492096,
-0.1548486202955246,
-0.008810451254248619,
0.06374843418598175,
-0.055233314633369446,
0.08436736464500427,
0.07581563293933868,
-0.000004159720447205473,
-0.005990466568619013,
0.0068092672154307365,
-0.06523258984088898,
-0.004528832621872425,
-0.06319700926542282,
-0.038703180849552155,
0.06518811732530594,
0.020529955625534058,
0.019945604726672173,
-0.015312903560698032,
0.0677059143781662,
-0.007705079857259989,
0.0680503100156784,
-0.0066088661551475525,
0.0030953739769756794,
-0.0377119705080986,
0.01679874397814274,
0.009448166005313396,
-0.036581214517354965,
-0.004384743049740791,
-0.0022556334733963013,
-0.037505920976400375,
-0.06523855775594711,
-0.0037743463180959225,
-0.037399496883153915,
-0.05080186203122139,
-0.012772967107594013,
-0.06555246561765671,
0.01361224427819252,
-0.07582656294107437,
-0.046144187450408936,
-0.031718336045742035,
0.014833187684416771,
0.068274587392807,
0.09768860042095184,
0.04641671106219292,
-0.02444715052843094,
-0.027085378766059875,
0.027699267491698265,
-0.01880922168493271,
0.05163175240159035,
1.893096774307868e-35,
0.09954310953617096,
-0.042550668120384216,
0.06165153533220291,
0.054360296577215195,
0.08355771005153656,
-0.031246379017829895,
-0.0889388769865036,
-0.044765591621398926,
-0.020592238754034042,
0.025622280314564705,
0.015962377190589905,
0.06580687314271927,
-0.03881271556019783,
0.10177472978830338,
0.047366704791784286,
-0.026871729642152786,
0.0555109865963459,
0.10253024101257324,
-0.015735872089862823,
0.00301833706907928,
-0.006471688859164715,
-0.0027036762330681086,
-0.0058820536360144615,
0.010428864508867264,
0.07746127992868423,
0.05934519320726395,
0.0712156668305397,
-0.0029328204691410065,
0.000001131085809902288,
-0.00722799077630043,
-0.05384330451488495,
0.01129055768251419,
-0.025215085595846176,
0.007618403993546963,
-0.03906736895442009,
-0.00880570337176323,
0.02642069198191166,
-0.04404691234230995,
0.0900522843003273,
-0.008453060872852802,
0.03502374142408371,
0.00722849927842617,
-0.040754783898591995,
-0.02864711917936802,
-0.049427613615989685,
0.017842914909124374,
0.03905944898724556,
0.04804213345050812,
0.06224058195948601,
0.01344868540763855,
0.04090546444058418,
-0.03026745840907097,
0.05125673487782478,
-0.03322559967637062,
0.0010501592187210917,
0.022102391347289085,
0.053037285804748535,
0.01203677337616682,
-0.006686313543468714,
0.05800650268793106,
0.0063544888980686665,
0.016123829409480095,
-0.0015723826363682747,
-0.02093132957816124,
-0.04265730082988739,
0.011184360831975937,
-0.00310330162756145,
0.03673836961388588,
0.06351937353610992,
-0.013650762848556042,
-0.07129646092653275,
0.052690714597702026,
0.05222027748823166,
0.011049321852624416,
0.07005247473716736,
0.05970866605639458,
0.013611968606710434,
-0.09849416464567184,
-0.07675808668136597,
0.038229264318943024,
-0.07598931342363358,
-0.14720897376537323,
0.023384585976600647,
-0.054116468876600266,
0.027933258563280106,
-0.02386147528886795,
0.06240565702319145,
-0.015089727938175201,
-0.030260078608989716,
-0.0377340242266655,
-0.03163678199052811,
0.03859192878007889,
-0.020687758922576904,
0.036052606999874115,
0.03348312899470329,
-2.2030290440355814e-33,
0.007335479836910963,
0.0379963144659996,
-0.022075554355978966,
-0.004143505822867155,
0.11025082319974899,
-0.022884566336870193,
-0.034939661622047424,
-0.0006339058163575828,
-0.03481191769242287,
0.051163382828235626,
-0.02161814086139202,
-0.1827581226825714,
-0.06752167642116547,
-0.0218731127679348,
-0.007528010290116072,
0.04143491014838219,
-0.026140274479985237,
-0.03770327940583229,
-0.1284887045621872,
0.00011890407040482387,
-0.03492742031812668,
0.06274240463972092,
-0.10797659307718277,
-0.05312984436750412,
0.03901505470275879,
0.04353152960538864,
0.03153812140226364,
-0.048282135277986526,
-0.05264348164200783,
0.015187813900411129,
-0.06566116958856583,
-0.11317866295576096,
-0.008103256113827229,
-0.06329427659511566,
0.045357558876276016,
0.007916942238807678,
0.06452234089374542,
-0.10653463751077652,
-0.03922499716281891,
0.011122509837150574,
-0.0015305751003324986,
-0.026839103549718857,
-0.015004303306341171,
0.0004964810214005411,
-0.01788388192653656,
0.017240937799215317,
-0.10519120842218399,
0.0893731415271759,
-0.06547854095697403,
-0.0029489747248589993,
0.008028069511055946,
0.07870825380086899,
-0.010353031568229198,
-0.06120459735393524,
-0.010427498258650303,
-0.11436079442501068,
0.07718976587057114,
-0.015861500054597855,
-0.00037619241629727185,
0.0026149279437959194,
-0.037329573184251785,
-0.02176916040480137,
-0.00404034648090601,
0.029839003458619118,
0.002425471320748329,
-0.045902807265520096,
-0.021794483065605164,
-0.12692096829414368,
-0.05861010029911995,
-0.027330422773957253,
0.05595233663916588,
-0.014716539531946182,
-0.08855737745761871,
-0.004271978046745062,
0.09035391360521317,
-0.034875113517045975,
-0.0043070572428405285,
0.05370699241757393,
-0.0026286649517714977,
0.010960296727716923,
0.02478344738483429,
0.0001666935859248042,
0.06741892546415329,
0.07909203320741653,
0.002058088779449463,
0.09517177939414978,
-0.05184892937541008,
0.08322373777627945,
0.012882959097623825,
0.01676558330655098,
-0.04595122113823891,
-0.04033322259783745,
-0.11978616565465927,
0.15304934978485107,
0.014837599359452724,
-4.0285890179347916e-8,
-0.08259934186935425,
0.046044737100601196,
-0.018918080255389214,
-0.02478601224720478,
-0.015281466767191887,
0.014298776164650917,
0.06050698459148407,
0.12345576286315918,
0.024587655439972878,
0.01508109550923109,
0.10965990275144577,
-0.03304290398955345,
-0.009478697553277016,
0.024107567965984344,
0.03832508623600006,
-0.02139497734606266,
0.061886388808488846,
-0.01976754330098629,
0.0434296652674675,
0.02356548234820366,
0.05661465972661972,
0.010537562891840935,
-0.13671058416366577,
0.005560177378356457,
-0.002888714661821723,
-0.031131479889154434,
-0.04194486886262894,
0.12515300512313843,
0.03530523553490639,
0.024098588153719902,
0.027870211750268936,
0.021525325253605843,
0.012484434992074966,
0.02800418622791767,
0.00633462006226182,
-0.025068232789635658,
0.022913234308362007,
0.04167510196566582,
-0.07616401463747025,
0.0053658075630664825,
-0.007270248606801033,
0.07483264803886414,
-0.05698270723223686,
0.05895698070526123,
0.02022242732346058,
0.021807169541716576,
-0.07136347144842148,
-0.0036252671852707863,
0.023853374645113945,
-0.06926040351390839,
-0.13497503101825714,
-0.04691940173506737,
0.004770814441144466,
0.03977354243397713,
0.04037050902843475,
0.06882297992706299,
0.03030581586062908,
-0.0042045037262141705,
0.051052868366241455,
-0.005709291901439428,
0.04760367050766945,
0.0275521632283926,
-0.0406271368265152,
-0.007370810955762863
] | null | null | null | null | null | null | null |
[
0.03291729465126991,
0.030248694121837616,
-0.03656900301575661,
-0.023976804688572884,
0.05903620645403862,
-0.030753841623663902,
-0.0503363162279129,
-0.03689779341220856,
-0.028992364183068275,
0.004777788184583187,
-0.04428677260875702,
-0.026130346581339836,
0.032362885773181915,
0.14639966189861298,
0.011809607967734337,
0.005305872764438391,
0.04205334559082985,
-0.07783693075180054,
0.023326462134718895,
-0.06470582634210587,
0.024858439341187477,
-0.03288035839796066,
-0.013148493133485317,
0.010923504829406738,
0.033958207815885544,
0.026083718985319138,
-0.00330793927423656,
-0.05077921226620674,
0.03040878102183342,
0.009526832029223442,
-0.0073695858009159565,
-0.009189206175506115,
0.018447207286953926,
0.06628651916980743,
-0.0764525905251503,
0.06975281983613968,
-0.001619625254534185,
0.0634072795510292,
-0.027654854580760002,
-0.03405198082327843,
-0.04923796281218529,
-0.003153677098453045,
-0.0018572919070720673,
0.03901263698935509,
0.01523538026958704,
0.011415068060159683,
-0.09000460803508759,
-0.09237492084503174,
-0.04055686295032501,
0.07784582674503326,
-0.122698113322258,
-0.04310305044054985,
0.03470834717154503,
-0.05812973156571388,
0.07846572995185852,
0.09524771571159363,
-0.001033894601278007,
-0.04201377555727959,
0.009498910047113895,
0.008657073602080345,
-0.002009244868531823,
-0.013671841472387314,
-0.02750396355986595,
0.0174305010586977,
0.0028200189117342234,
0.05381215363740921,
-0.0032199432607740164,
-0.010672209784388542,
0.04873044043779373,
0.010968437418341637,
-0.017832957208156586,
0.02913806587457657,
-0.037175487726926804,
-0.03628454729914665,
-0.029001260176301003,
0.054233845323324203,
-0.07484470307826996,
-0.027644896879792213,
-0.08019496500492096,
-0.1548486202955246,
-0.008810451254248619,
0.06374843418598175,
-0.055233314633369446,
0.08436736464500427,
0.07581563293933868,
-0.000004159720447205473,
-0.005990466568619013,
0.0068092672154307365,
-0.06523258984088898,
-0.004528832621872425,
-0.06319700926542282,
-0.038703180849552155,
0.06518811732530594,
0.020529955625534058,
0.019945604726672173,
-0.015312903560698032,
0.0677059143781662,
-0.007705079857259989,
0.0680503100156784,
-0.0066088661551475525,
0.0030953739769756794,
-0.0377119705080986,
0.01679874397814274,
0.009448166005313396,
-0.036581214517354965,
-0.004384743049740791,
-0.0022556334733963013,
-0.037505920976400375,
-0.06523855775594711,
-0.0037743463180959225,
-0.037399496883153915,
-0.05080186203122139,
-0.012772967107594013,
-0.06555246561765671,
0.01361224427819252,
-0.07582656294107437,
-0.046144187450408936,
-0.031718336045742035,
0.014833187684416771,
0.068274587392807,
0.09768860042095184,
0.04641671106219292,
-0.02444715052843094,
-0.027085378766059875,
0.027699267491698265,
-0.01880922168493271,
0.05163175240159035,
1.893096774307868e-35,
0.09954310953617096,
-0.042550668120384216,
0.06165153533220291,
0.054360296577215195,
0.08355771005153656,
-0.031246379017829895,
-0.0889388769865036,
-0.044765591621398926,
-0.020592238754034042,
0.025622280314564705,
0.015962377190589905,
0.06580687314271927,
-0.03881271556019783,
0.10177472978830338,
0.047366704791784286,
-0.026871729642152786,
0.0555109865963459,
0.10253024101257324,
-0.015735872089862823,
0.00301833706907928,
-0.006471688859164715,
-0.0027036762330681086,
-0.0058820536360144615,
0.010428864508867264,
0.07746127992868423,
0.05934519320726395,
0.0712156668305397,
-0.0029328204691410065,
0.000001131085809902288,
-0.00722799077630043,
-0.05384330451488495,
0.01129055768251419,
-0.025215085595846176,
0.007618403993546963,
-0.03906736895442009,
-0.00880570337176323,
0.02642069198191166,
-0.04404691234230995,
0.0900522843003273,
-0.008453060872852802,
0.03502374142408371,
0.00722849927842617,
-0.040754783898591995,
-0.02864711917936802,
-0.049427613615989685,
0.017842914909124374,
0.03905944898724556,
0.04804213345050812,
0.06224058195948601,
0.01344868540763855,
0.04090546444058418,
-0.03026745840907097,
0.05125673487782478,
-0.03322559967637062,
0.0010501592187210917,
0.022102391347289085,
0.053037285804748535,
0.01203677337616682,
-0.006686313543468714,
0.05800650268793106,
0.0063544888980686665,
0.016123829409480095,
-0.0015723826363682747,
-0.02093132957816124,
-0.04265730082988739,
0.011184360831975937,
-0.00310330162756145,
0.03673836961388588,
0.06351937353610992,
-0.013650762848556042,
-0.07129646092653275,
0.052690714597702026,
0.05222027748823166,
0.011049321852624416,
0.07005247473716736,
0.05970866605639458,
0.013611968606710434,
-0.09849416464567184,
-0.07675808668136597,
0.038229264318943024,
-0.07598931342363358,
-0.14720897376537323,
0.023384585976600647,
-0.054116468876600266,
0.027933258563280106,
-0.02386147528886795,
0.06240565702319145,
-0.015089727938175201,
-0.030260078608989716,
-0.0377340242266655,
-0.03163678199052811,
0.03859192878007889,
-0.020687758922576904,
0.036052606999874115,
0.03348312899470329,
-2.2030290440355814e-33,
0.007335479836910963,
0.0379963144659996,
-0.022075554355978966,
-0.004143505822867155,
0.11025082319974899,
-0.022884566336870193,
-0.034939661622047424,
-0.0006339058163575828,
-0.03481191769242287,
0.051163382828235626,
-0.02161814086139202,
-0.1827581226825714,
-0.06752167642116547,
-0.0218731127679348,
-0.007528010290116072,
0.04143491014838219,
-0.026140274479985237,
-0.03770327940583229,
-0.1284887045621872,
0.00011890407040482387,
-0.03492742031812668,
0.06274240463972092,
-0.10797659307718277,
-0.05312984436750412,
0.03901505470275879,
0.04353152960538864,
0.03153812140226364,
-0.048282135277986526,
-0.05264348164200783,
0.015187813900411129,
-0.06566116958856583,
-0.11317866295576096,
-0.008103256113827229,
-0.06329427659511566,
0.045357558876276016,
0.007916942238807678,
0.06452234089374542,
-0.10653463751077652,
-0.03922499716281891,
0.011122509837150574,
-0.0015305751003324986,
-0.026839103549718857,
-0.015004303306341171,
0.0004964810214005411,
-0.01788388192653656,
0.017240937799215317,
-0.10519120842218399,
0.0893731415271759,
-0.06547854095697403,
-0.0029489747248589993,
0.008028069511055946,
0.07870825380086899,
-0.010353031568229198,
-0.06120459735393524,
-0.010427498258650303,
-0.11436079442501068,
0.07718976587057114,
-0.015861500054597855,
-0.00037619241629727185,
0.0026149279437959194,
-0.037329573184251785,
-0.02176916040480137,
-0.00404034648090601,
0.029839003458619118,
0.002425471320748329,
-0.045902807265520096,
-0.021794483065605164,
-0.12692096829414368,
-0.05861010029911995,
-0.027330422773957253,
0.05595233663916588,
-0.014716539531946182,
-0.08855737745761871,
-0.004271978046745062,
0.09035391360521317,
-0.034875113517045975,
-0.0043070572428405285,
0.05370699241757393,
-0.0026286649517714977,
0.010960296727716923,
0.02478344738483429,
0.0001666935859248042,
0.06741892546415329,
0.07909203320741653,
0.002058088779449463,
0.09517177939414978,
-0.05184892937541008,
0.08322373777627945,
0.012882959097623825,
0.01676558330655098,
-0.04595122113823891,
-0.04033322259783745,
-0.11978616565465927,
0.15304934978485107,
0.014837599359452724,
-4.0285890179347916e-8,
-0.08259934186935425,
0.046044737100601196,
-0.018918080255389214,
-0.02478601224720478,
-0.015281466767191887,
0.014298776164650917,
0.06050698459148407,
0.12345576286315918,
0.024587655439972878,
0.01508109550923109,
0.10965990275144577,
-0.03304290398955345,
-0.009478697553277016,
0.024107567965984344,
0.03832508623600006,
-0.02139497734606266,
0.061886388808488846,
-0.01976754330098629,
0.0434296652674675,
0.02356548234820366,
0.05661465972661972,
0.010537562891840935,
-0.13671058416366577,
0.005560177378356457,
-0.002888714661821723,
-0.031131479889154434,
-0.04194486886262894,
0.12515300512313843,
0.03530523553490639,
0.024098588153719902,
0.027870211750268936,
0.021525325253605843,
0.012484434992074966,
0.02800418622791767,
0.00633462006226182,
-0.025068232789635658,
0.022913234308362007,
0.04167510196566582,
-0.07616401463747025,
0.0053658075630664825,
-0.007270248606801033,
0.07483264803886414,
-0.05698270723223686,
0.05895698070526123,
0.02022242732346058,
0.021807169541716576,
-0.07136347144842148,
-0.0036252671852707863,
0.023853374645113945,
-0.06926040351390839,
-0.13497503101825714,
-0.04691940173506737,
0.004770814441144466,
0.03977354243397713,
0.04037050902843475,
0.06882297992706299,
0.03030581586062908,
-0.0042045037262141705,
0.051052868366241455,
-0.005709291901439428,
0.04760367050766945,
0.0275521632283926,
-0.0406271368265152,
-0.007370810955762863
] |
1402.2871
|
Christopher Amato
|
Christopher Amato and George D. Konidaris and Gabriel Cruz and
Christopher A. Maynor and Jonathan P. How and Leslie P. Kaelbling
|
Planning for Decentralized Control of Multiple Robots Under Uncertainty
| null | null | null | null |
cs.RO cs.AI cs.MA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a probabilistic framework for synthesizing control policies for
general multi-robot systems, given environment and sensor models and a cost
function. Decentralized, partially observable Markov decision processes
(Dec-POMDPs) are a general model of decision processes where a team of agents
must cooperate to optimize some objective (specified by a shared reward or cost
function) in the presence of uncertainty, but where communication limitations
mean that the agents cannot share their state, so execution must proceed in a
decentralized fashion. While Dec-POMDPs are typically intractable to solve for
real-world problems, recent research on the use of macro-actions in Dec-POMDPs
has significantly increased the size of problem that can be practically solved
as a Dec-POMDP. We describe this general model, and show how, in contrast to
most existing methods that are specialized to a particular problem class, it
can synthesize control policies that use whatever opportunities for
coordination are present in the problem, while balancing off uncertainty in
outcomes, sensor information, and information about other agents. We use three
variations on a warehouse task to show that a single planner of this type can
generate cooperative behavior using task allocation, direct communication, and
signaling, as appropriate.
|
[
{
"created": "Wed, 12 Feb 2014 16:13:16 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Amato",
"Christopher",
""
],
[
"Konidaris",
"George D.",
""
],
[
"Cruz",
"Gabriel",
""
],
[
"Maynor",
"Christopher A.",
""
],
[
"How",
"Jonathan P.",
""
],
[
"Kaelbling",
"Leslie P.",
""
]
] |
[
-0.03929479792714119,
-0.031054262071847916,
-0.00985379796475172,
-0.06471845507621765,
0.006963972933590412,
-0.06465956568717957,
0.03387906402349472,
0.007160847075283527,
0.02264656312763691,
0.11299346387386322,
-0.033664409071207047,
-0.06281240284442902,
0.0769689679145813,
0.04772360622882843,
0.04998406395316124,
0.007746845483779907,
0.1277436763048172,
-0.006821778137236834,
-0.0641026422381401,
0.007405226584523916,
0.0037636212073266506,
-0.005121131427586079,
0.03806183487176895,
0.007244370877742767,
-0.10818630456924438,
0.009435520507395267,
0.06968630105257034,
-0.09123478084802628,
-0.048044994473457336,
-0.018635788932442665,
0.023078076541423798,
-0.07455787807703018,
0.04146659001708031,
-0.08567561954259872,
-0.010942247696220875,
0.13084018230438232,
-0.07482382655143738,
-0.020419029518961906,
0.009837471880018711,
-0.026614617556333542,
0.0028323358856141567,
0.01093610841780901,
-0.057269368320703506,
0.0038311139214783907,
-0.030864650383591652,
0.0018973260885104537,
0.024979155510663986,
-0.047485481947660446,
0.010542788542807102,
-0.004096267279237509,
-0.015080559998750687,
-0.0064202542416751385,
0.03460894525051117,
-0.04710588604211807,
0.03911096602678299,
-0.027909226715564728,
-0.00971327442675829,
0.008051627315580845,
0.022311337292194366,
-0.1386127918958664,
-0.014801174402236938,
-0.06900035589933395,
-0.0018572676926851273,
-0.0571441575884819,
-0.03497781231999397,
0.022598616778850555,
0.01020127534866333,
0.017868511378765106,
-0.000889264396391809,
0.01640087552368641,
-0.0031171455048024654,
0.02189227193593979,
0.05666845291852951,
-0.028460776433348656,
-0.025721799582242966,
-0.01824493333697319,
-0.009686416946351528,
-0.051668982952833176,
-0.0006461573648266494,
0.005025735590606928,
0.014687362127006054,
0.048093412071466446,
-0.007247013971209526,
0.041520506143569946,
0.06515359878540039,
-0.07312408834695816,
-0.022305307909846306,
0.03359541669487953,
0.13396932184696198,
-0.03070862591266632,
-0.07152048498392105,
-0.0042213695123791695,
-0.02116038091480732,
0.0011792724253609776,
-0.059134043753147125,
0.021610641852021217,
-0.045193396508693695,
-0.04896414652466774,
-0.017460811883211136,
0.03486518934369087,
-0.014267443679273129,
0.009178590960800648,
-0.0012575503205880523,
-0.07896632701158524,
-0.012627056799829006,
-0.0246233232319355,
-0.06435041129589081,
0.004233805928379297,
0.04955581575632095,
-0.006715373136103153,
-0.0019257984822615981,
-0.05246773362159729,
0.06421973556280136,
0.04257659241557121,
-0.03210368752479553,
0.0502471886575222,
0.011490937322378159,
0.018552031368017197,
-0.003064169781282544,
0.04773401841521263,
0.006238690111786127,
-0.08613866567611694,
0.08670912683010101,
0.018873324617743492,
0.10504383593797684,
0.040485087782144547,
0.040415212512016296,
1.5053202725356408e-34,
-0.01625550352036953,
-0.006481163669377565,
0.042896516621112823,
0.031024562194943428,
0.0682438388466835,
-0.0026379437185823917,
0.018660254776477814,
0.004139330703765154,
-0.03787863254547119,
-0.015180750750005245,
0.027989380061626434,
0.0518951490521431,
-0.05455876141786575,
0.028989678248763084,
0.079647958278656,
-0.003728556912392378,
-0.010784550569951534,
0.017644131556153297,
0.013439380563795567,
-0.020648293197155,
0.04911360517144203,
0.030921045690774918,
-0.06202951818704605,
0.004720412194728851,
0.10019613057374954,
0.013678495772182941,
0.046434998512268066,
-0.017377780750393867,
0.08000742644071579,
-0.0051370644941926,
-0.07620564848184586,
0.03169392794370651,
0.02531431056559086,
0.07903892546892166,
0.006072103511542082,
0.01617344096302986,
-0.10965767502784729,
-0.01967249996960163,
-0.06347295641899109,
-0.023659393191337585,
0.003462168388068676,
-0.06195635721087456,
-0.016029274091124535,
0.0007219194085337222,
-0.04193730652332306,
-0.07725866138935089,
-0.03646889328956604,
-0.007392383646219969,
-0.07519008219242096,
-0.09779873490333557,
0.051007967442274094,
0.031787216663360596,
0.03934084624052048,
-0.03472132608294487,
-0.030374139547348022,
-0.09024710953235626,
-0.039397645741701126,
-0.008208156563341618,
-0.0067141386680305,
0.033556751906871796,
0.01132497750222683,
-0.01497381366789341,
0.01634037122130394,
0.03482843562960625,
0.057423628866672516,
0.020435255020856857,
-0.059425245970487595,
0.11791633069515228,
0.12374746799468994,
0.009330973029136658,
-0.023282157257199287,
0.05075531825423241,
0.08114161342382431,
-0.07034226506948471,
0.057675812393426895,
0.043136995285749435,
0.06216581538319588,
-0.016513101756572723,
0.008355838246643543,
0.023445935919880867,
-0.08220388740301132,
-0.02307160571217537,
-0.06262213736772537,
0.054057151079177856,
0.015044033527374268,
-0.02612113580107689,
-0.09927185624837875,
0.03924056515097618,
-0.08018890023231506,
0.03370358422398567,
-0.07608499377965927,
0.006763117853552103,
-0.0567205548286438,
0.03911513090133667,
-0.027276143431663513,
-2.974629964400062e-33,
-0.02102803811430931,
-0.031231829896569252,
-0.023606237024068832,
-0.012776420451700687,
0.01657930389046669,
-0.0016579763032495975,
-0.054137326776981354,
-0.1144215539097786,
0.0038361328188329935,
-0.03550801798701286,
-0.18853944540023804,
-0.01644161343574524,
0.07119046896696091,
-0.019161520525813103,
-0.03537828102707863,
-0.020183462649583817,
0.04106878489255905,
0.001591090695001185,
-0.008362018503248692,
-0.00518489396199584,
-0.02533106692135334,
0.06536322832107544,
-0.08395044505596161,
0.015008233487606049,
0.03626071661710739,
0.10281144827604294,
-0.02394740842282772,
0.017452070489525795,
0.05228552594780922,
0.09306272864341736,
-0.08243028819561005,
-0.07618600875139236,
0.002696909476071596,
0.028570950031280518,
-0.022846238687634468,
0.006544128526002169,
0.003580715972930193,
0.04320739582180977,
-0.049533430486917496,
0.06847762316465378,
0.012644493021070957,
-0.1311759352684021,
-0.016514701768755913,
0.007178428117185831,
0.02605944499373436,
-0.030303601175546646,
-0.05740831047296524,
-0.01077896635979414,
-0.02693803608417511,
-0.012366879731416702,
-0.019426260143518448,
0.0707225576043129,
-0.11022795736789703,
-0.010577782988548279,
-0.09295590966939926,
-0.007226640824228525,
-0.008882853202521801,
0.029800070449709892,
0.09459810703992844,
0.04930661991238594,
-0.05190315842628479,
-0.011168343015015125,
0.05114154890179634,
0.07183609902858734,
-0.02227046899497509,
0.10262174904346466,
0.05437256023287773,
-0.010855932720005512,
0.09957287460565567,
0.046188678592443466,
0.05736762657761574,
0.0519205778837204,
0.0412554033100605,
0.008961270563304424,
0.13532547652721405,
0.060210857540369034,
-0.016080554574728012,
0.013641644269227982,
0.0031568394042551517,
0.015282828360795975,
-0.006045681424438953,
0.00990382581949234,
0.07319415360689163,
0.06555886566638947,
-0.05328108370304108,
0.015020647086203098,
0.006709424778819084,
0.031385596841573715,
0.03068455681204796,
-0.011677826754748821,
-0.032027944922447205,
-0.029024425894021988,
0.037357792258262634,
0.05318430811166763,
-0.08825085312128067,
-5.130740987624449e-8,
0.01961437053978443,
0.02718331664800644,
0.0770154595375061,
-0.04910578578710556,
0.017266757786273956,
-0.008375655859708786,
-0.03889207914471626,
-0.07465140521526337,
0.012894371524453163,
0.022419890388846397,
0.07209811359643936,
0.02512379176914692,
0.020724909380078316,
-0.04494384676218033,
-0.03757917508482933,
0.02945433184504509,
-0.002209748374298215,
-0.05430345982313156,
-0.003451564582064748,
-0.06424836069345474,
-0.012252740561962128,
-0.0762561783194542,
-0.04733170196413994,
0.057275231927633286,
0.013132471591234207,
-0.023529712110757828,
-0.06801018863916397,
0.03982587903738022,
0.038210589438676834,
0.07461530715227127,
-0.014204028062522411,
-0.04700577259063721,
0.04020404815673828,
0.11701681464910507,
0.05461068078875542,
-0.06621287018060684,
0.00870987493544817,
-0.09335704892873764,
0.01022290252149105,
-0.050893500447273254,
0.019219206646084785,
0.10433193296194077,
-0.09397506713867188,
0.04058953747153282,
0.030809232965111732,
0.018965069204568863,
-0.06629718095064163,
-0.10549318045377731,
0.020618781447410583,
-0.02085757814347744,
-0.005393388215452433,
0.03956970199942589,
-0.0621187649667263,
0.11521196365356445,
0.02188834734261036,
0.054040342569351196,
0.04949970170855522,
-0.14973698556423187,
-0.007013092748820782,
0.02063675783574581,
-0.0029296111315488815,
0.05261171981692314,
-0.053989626467227936,
-0.01818535476922989
] | null | null | null | null | null | null | null |
[
-0.03929479792714119,
-0.031054262071847916,
-0.00985379796475172,
-0.06471845507621765,
0.006963972933590412,
-0.06465956568717957,
0.03387906402349472,
0.007160847075283527,
0.02264656312763691,
0.11299346387386322,
-0.033664409071207047,
-0.06281240284442902,
0.0769689679145813,
0.04772360622882843,
0.04998406395316124,
0.007746845483779907,
0.1277436763048172,
-0.006821778137236834,
-0.0641026422381401,
0.007405226584523916,
0.0037636212073266506,
-0.005121131427586079,
0.03806183487176895,
0.007244370877742767,
-0.10818630456924438,
0.009435520507395267,
0.06968630105257034,
-0.09123478084802628,
-0.048044994473457336,
-0.018635788932442665,
0.023078076541423798,
-0.07455787807703018,
0.04146659001708031,
-0.08567561954259872,
-0.010942247696220875,
0.13084018230438232,
-0.07482382655143738,
-0.020419029518961906,
0.009837471880018711,
-0.026614617556333542,
0.0028323358856141567,
0.01093610841780901,
-0.057269368320703506,
0.0038311139214783907,
-0.030864650383591652,
0.0018973260885104537,
0.024979155510663986,
-0.047485481947660446,
0.010542788542807102,
-0.004096267279237509,
-0.015080559998750687,
-0.0064202542416751385,
0.03460894525051117,
-0.04710588604211807,
0.03911096602678299,
-0.027909226715564728,
-0.00971327442675829,
0.008051627315580845,
0.022311337292194366,
-0.1386127918958664,
-0.014801174402236938,
-0.06900035589933395,
-0.0018572676926851273,
-0.0571441575884819,
-0.03497781231999397,
0.022598616778850555,
0.01020127534866333,
0.017868511378765106,
-0.000889264396391809,
0.01640087552368641,
-0.0031171455048024654,
0.02189227193593979,
0.05666845291852951,
-0.028460776433348656,
-0.025721799582242966,
-0.01824493333697319,
-0.009686416946351528,
-0.051668982952833176,
-0.0006461573648266494,
0.005025735590606928,
0.014687362127006054,
0.048093412071466446,
-0.007247013971209526,
0.041520506143569946,
0.06515359878540039,
-0.07312408834695816,
-0.022305307909846306,
0.03359541669487953,
0.13396932184696198,
-0.03070862591266632,
-0.07152048498392105,
-0.0042213695123791695,
-0.02116038091480732,
0.0011792724253609776,
-0.059134043753147125,
0.021610641852021217,
-0.045193396508693695,
-0.04896414652466774,
-0.017460811883211136,
0.03486518934369087,
-0.014267443679273129,
0.009178590960800648,
-0.0012575503205880523,
-0.07896632701158524,
-0.012627056799829006,
-0.0246233232319355,
-0.06435041129589081,
0.004233805928379297,
0.04955581575632095,
-0.006715373136103153,
-0.0019257984822615981,
-0.05246773362159729,
0.06421973556280136,
0.04257659241557121,
-0.03210368752479553,
0.0502471886575222,
0.011490937322378159,
0.018552031368017197,
-0.003064169781282544,
0.04773401841521263,
0.006238690111786127,
-0.08613866567611694,
0.08670912683010101,
0.018873324617743492,
0.10504383593797684,
0.040485087782144547,
0.040415212512016296,
1.5053202725356408e-34,
-0.01625550352036953,
-0.006481163669377565,
0.042896516621112823,
0.031024562194943428,
0.0682438388466835,
-0.0026379437185823917,
0.018660254776477814,
0.004139330703765154,
-0.03787863254547119,
-0.015180750750005245,
0.027989380061626434,
0.0518951490521431,
-0.05455876141786575,
0.028989678248763084,
0.079647958278656,
-0.003728556912392378,
-0.010784550569951534,
0.017644131556153297,
0.013439380563795567,
-0.020648293197155,
0.04911360517144203,
0.030921045690774918,
-0.06202951818704605,
0.004720412194728851,
0.10019613057374954,
0.013678495772182941,
0.046434998512268066,
-0.017377780750393867,
0.08000742644071579,
-0.0051370644941926,
-0.07620564848184586,
0.03169392794370651,
0.02531431056559086,
0.07903892546892166,
0.006072103511542082,
0.01617344096302986,
-0.10965767502784729,
-0.01967249996960163,
-0.06347295641899109,
-0.023659393191337585,
0.003462168388068676,
-0.06195635721087456,
-0.016029274091124535,
0.0007219194085337222,
-0.04193730652332306,
-0.07725866138935089,
-0.03646889328956604,
-0.007392383646219969,
-0.07519008219242096,
-0.09779873490333557,
0.051007967442274094,
0.031787216663360596,
0.03934084624052048,
-0.03472132608294487,
-0.030374139547348022,
-0.09024710953235626,
-0.039397645741701126,
-0.008208156563341618,
-0.0067141386680305,
0.033556751906871796,
0.01132497750222683,
-0.01497381366789341,
0.01634037122130394,
0.03482843562960625,
0.057423628866672516,
0.020435255020856857,
-0.059425245970487595,
0.11791633069515228,
0.12374746799468994,
0.009330973029136658,
-0.023282157257199287,
0.05075531825423241,
0.08114161342382431,
-0.07034226506948471,
0.057675812393426895,
0.043136995285749435,
0.06216581538319588,
-0.016513101756572723,
0.008355838246643543,
0.023445935919880867,
-0.08220388740301132,
-0.02307160571217537,
-0.06262213736772537,
0.054057151079177856,
0.015044033527374268,
-0.02612113580107689,
-0.09927185624837875,
0.03924056515097618,
-0.08018890023231506,
0.03370358422398567,
-0.07608499377965927,
0.006763117853552103,
-0.0567205548286438,
0.03911513090133667,
-0.027276143431663513,
-2.974629964400062e-33,
-0.02102803811430931,
-0.031231829896569252,
-0.023606237024068832,
-0.012776420451700687,
0.01657930389046669,
-0.0016579763032495975,
-0.054137326776981354,
-0.1144215539097786,
0.0038361328188329935,
-0.03550801798701286,
-0.18853944540023804,
-0.01644161343574524,
0.07119046896696091,
-0.019161520525813103,
-0.03537828102707863,
-0.020183462649583817,
0.04106878489255905,
0.001591090695001185,
-0.008362018503248692,
-0.00518489396199584,
-0.02533106692135334,
0.06536322832107544,
-0.08395044505596161,
0.015008233487606049,
0.03626071661710739,
0.10281144827604294,
-0.02394740842282772,
0.017452070489525795,
0.05228552594780922,
0.09306272864341736,
-0.08243028819561005,
-0.07618600875139236,
0.002696909476071596,
0.028570950031280518,
-0.022846238687634468,
0.006544128526002169,
0.003580715972930193,
0.04320739582180977,
-0.049533430486917496,
0.06847762316465378,
0.012644493021070957,
-0.1311759352684021,
-0.016514701768755913,
0.007178428117185831,
0.02605944499373436,
-0.030303601175546646,
-0.05740831047296524,
-0.01077896635979414,
-0.02693803608417511,
-0.012366879731416702,
-0.019426260143518448,
0.0707225576043129,
-0.11022795736789703,
-0.010577782988548279,
-0.09295590966939926,
-0.007226640824228525,
-0.008882853202521801,
0.029800070449709892,
0.09459810703992844,
0.04930661991238594,
-0.05190315842628479,
-0.011168343015015125,
0.05114154890179634,
0.07183609902858734,
-0.02227046899497509,
0.10262174904346466,
0.05437256023287773,
-0.010855932720005512,
0.09957287460565567,
0.046188678592443466,
0.05736762657761574,
0.0519205778837204,
0.0412554033100605,
0.008961270563304424,
0.13532547652721405,
0.060210857540369034,
-0.016080554574728012,
0.013641644269227982,
0.0031568394042551517,
0.015282828360795975,
-0.006045681424438953,
0.00990382581949234,
0.07319415360689163,
0.06555886566638947,
-0.05328108370304108,
0.015020647086203098,
0.006709424778819084,
0.031385596841573715,
0.03068455681204796,
-0.011677826754748821,
-0.032027944922447205,
-0.029024425894021988,
0.037357792258262634,
0.05318430811166763,
-0.08825085312128067,
-5.130740987624449e-8,
0.01961437053978443,
0.02718331664800644,
0.0770154595375061,
-0.04910578578710556,
0.017266757786273956,
-0.008375655859708786,
-0.03889207914471626,
-0.07465140521526337,
0.012894371524453163,
0.022419890388846397,
0.07209811359643936,
0.02512379176914692,
0.020724909380078316,
-0.04494384676218033,
-0.03757917508482933,
0.02945433184504509,
-0.002209748374298215,
-0.05430345982313156,
-0.003451564582064748,
-0.06424836069345474,
-0.012252740561962128,
-0.0762561783194542,
-0.04733170196413994,
0.057275231927633286,
0.013132471591234207,
-0.023529712110757828,
-0.06801018863916397,
0.03982587903738022,
0.038210589438676834,
0.07461530715227127,
-0.014204028062522411,
-0.04700577259063721,
0.04020404815673828,
0.11701681464910507,
0.05461068078875542,
-0.06621287018060684,
0.00870987493544817,
-0.09335704892873764,
0.01022290252149105,
-0.050893500447273254,
0.019219206646084785,
0.10433193296194077,
-0.09397506713867188,
0.04058953747153282,
0.030809232965111732,
0.018965069204568863,
-0.06629718095064163,
-0.10549318045377731,
0.020618781447410583,
-0.02085757814347744,
-0.005393388215452433,
0.03956970199942589,
-0.0621187649667263,
0.11521196365356445,
0.02188834734261036,
0.054040342569351196,
0.04949970170855522,
-0.14973698556423187,
-0.007013092748820782,
0.02063675783574581,
-0.0029296111315488815,
0.05261171981692314,
-0.053989626467227936,
-0.01818535476922989
] |
1402.2873
|
Jin-Han Xie
|
Jin-Han Xie and Jacques Vanneste
|
Boundary streaming with Navier boundary condition
|
11 pages, 3 figures
|
Phys. Rev. E 89, 063010 (2014)
|
10.1103/PhysRevE.89.063010
| null |
physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In microfluidic applications involving high-frequency acoustic waves over a
solid boundary, the Stokes boundary-layer thickness $\delta$ is so small that
some non-negligible slip may occur at the fluid-solid interface. This paper
assesses the impact of the slip by revisiting the classical problem of steady
acoustic streaming over a flat boundary with the Navier boundary condition
$u|_{y=0} = L_\mathrm{s} \partial_y u|_{y=0}$, where $u$ is the velocity
tangent to the boundary $y=0$, and the parameter $L_\mathrm{s}$ is the slip
length. The limit outside the boundary layer provide an effective slip
velocity. A general expression is obtained for the streaming velocity outside
the boundary layer as a function of the dimensionless parameter
$L_\mathrm{s}/\delta$. Particularising to travelling and standing waves shows
that the boundary slip respectively increases and decreases the streaming
velocity.
|
[
{
"created": "Wed, 12 Feb 2014 16:18:16 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2014 17:49:37 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Apr 2014 12:37:41 GMT",
"version": "v3"
},
{
"created": "Tue, 24 Jun 2014 18:20:19 GMT",
"version": "v4"
}
] |
2014-06-25
|
[
[
"Xie",
"Jin-Han",
""
],
[
"Vanneste",
"Jacques",
""
]
] |
[
0.003263491438701749,
-0.04154186323285103,
0.07629939913749695,
-0.011159809306263924,
0.056704673916101456,
0.017271222546696663,
-0.04911292716860771,
0.025629928335547447,
-0.060896389186382294,
-0.10109928250312805,
-0.05783018469810486,
-0.04137828201055527,
-0.011320095509290695,
0.008111756294965744,
-0.026044417172670364,
-0.05808700621128082,
-0.00033110729418694973,
0.04258810728788376,
-0.03242779150605202,
-0.025389598682522774,
0.015431827865540981,
0.06472720205783844,
-0.032055050134658813,
-0.030402010306715965,
0.014764043502509594,
-0.046345338225364685,
0.04050111398100853,
-0.04409186542034149,
0.039038222283124924,
-0.008319546468555927,
-0.0031314040534198284,
-0.008807925507426262,
-0.02980578877031803,
-0.010816145688295364,
-0.03002794086933136,
-0.0374576561152935,
-0.055204492062330246,
0.11417784541845322,
-0.014595987275242805,
0.02578779123723507,
-0.00207103556022048,
-0.024919847026467323,
0.08494219183921814,
0.0668753907084465,
0.014718307182192802,
0.011441620998084545,
-0.028722569346427917,
0.05763143301010132,
-0.08758705109357834,
0.06284309178590775,
0.01657550036907196,
-0.055561136454343796,
0.006768418475985527,
0.031596776098012924,
-0.027657313272356987,
-0.007127328775823116,
-0.01729774847626686,
0.0035861064679920673,
-0.007237027864903212,
-0.009076609276235104,
0.02175655961036682,
-0.03516159951686859,
0.08170073479413986,
-0.052440106868743896,
-0.04561249539256096,
-0.08148133009672165,
-0.03346528857946396,
0.11137102544307709,
0.011293350718915462,
0.0701887458562851,
-0.0029627515468746424,
0.018629416823387146,
0.01385270431637764,
0.06619899719953537,
0.08614493161439896,
-0.014835692010819912,
-0.0032362528145313263,
0.06906669586896896,
-0.055598579347133636,
0.04646558314561844,
0.04039403051137924,
-0.052532900124788284,
-0.06349693983793259,
-0.11581958830356598,
-0.07810398191213608,
0.016638532280921936,
0.060168083757162094,
-0.01823364570736885,
-0.02514941431581974,
0.003183543449267745,
0.008266356773674488,
-0.02771175466477871,
-0.002006853697821498,
-0.0007479380001313984,
0.07186561077833176,
-0.04718676581978798,
-0.13193455338478088,
-0.004148936830461025,
0.014808163046836853,
-0.04624190554022789,
-0.05124455690383911,
-0.029730532318353653,
-0.02037080191075802,
0.12661106884479523,
0.034555576741695404,
-0.03191058710217476,
0.008989193476736546,
0.03904619440436363,
0.01125150453299284,
0.022894099354743958,
0.042919665575027466,
0.05907556414604187,
0.037266939878463745,
-0.019406640902161598,
0.05416639894247055,
-0.09914743900299072,
-0.013282375410199165,
-0.015905611217021942,
-0.054456956684589386,
-0.049473345279693604,
-0.015309679321944714,
0.03915137052536011,
-0.10555724054574966,
0.006354976911097765,
-0.008824765682220459,
0.04554679989814758,
0.055300433188676834,
1.074510110701541e-33,
0.0036634367424994707,
0.05031831935048103,
-0.08800773322582245,
0.023897211998701096,
-0.007966174744069576,
-0.0643143579363823,
0.08612517267465591,
0.03276139497756958,
0.003976268228143454,
0.0631270483136177,
-0.045030321925878525,
0.08484545350074768,
-0.04601447284221649,
0.036994628608226776,
-0.07047710567712784,
-0.007326509337872267,
0.029993433505296707,
-0.07947668433189392,
-0.015992604196071625,
0.028664441779255867,
-0.00032673453097231686,
-0.028965584933757782,
0.03890163451433182,
-0.01935501955449581,
0.024159958586096764,
-0.07107735425233841,
-0.050337448716163635,
-0.08768265694379807,
0.05962575599551201,
0.038031596690416336,
-0.0899898111820221,
-0.07838667184114456,
0.012337040156126022,
-0.051217157393693924,
0.06512058526277542,
0.07337172329425812,
0.017310412600636482,
0.03027702495455742,
-0.004755199421197176,
0.0012527891667559743,
-0.10413165390491486,
0.00916832685470581,
-0.015238563530147076,
0.05888032913208008,
-0.008022481575608253,
-0.03735671564936638,
-0.07329162955284119,
0.057401709258556366,
-0.006717907264828682,
-0.0374956876039505,
0.032477330416440964,
-0.009264876134693623,
-0.02749081887304783,
0.03160714730620384,
0.053071506321430206,
-0.05870674178004265,
0.04497998580336571,
0.00968596339225769,
-0.08382216840982437,
-0.018422938883304596,
0.04001985490322113,
0.08809696137905121,
0.02692255936563015,
0.001434334903024137,
0.031391967087984085,
0.08563907444477081,
0.013205581344664097,
0.056074108928442,
0.016710596159100533,
-0.06831469386816025,
0.06150837615132332,
-0.00886312685906887,
0.045749884098768234,
0.002058778889477253,
0.020609186962246895,
0.023358512669801712,
-0.04549726843833923,
-0.056010860949754715,
0.06018561124801636,
-0.06115525960922241,
-0.022187141701579094,
0.03686017170548439,
-0.06822612881660461,
-0.010404217056930065,
-0.03517352044582367,
0.040104467421770096,
0.02486768551170826,
0.023496102541685104,
0.015202091075479984,
-0.0733623281121254,
-0.06631727516651154,
0.020562658086419106,
0.14013861119747162,
-0.02007743902504444,
0.017707128077745438,
-3.277771590377898e-33,
0.040950167924165726,
0.02615663781762123,
-0.02760482020676136,
0.01672567054629326,
0.0031626217532902956,
0.04835665225982666,
0.13462768495082855,
0.13732273876667023,
-0.030688194558024406,
-0.09012173116207123,
-0.038094401359558105,
-0.03804488852620125,
-0.010523485019803047,
0.08794593065977097,
-0.004811614751815796,
-0.055219244211912155,
-0.06139858812093735,
-0.07979704439640045,
0.06426535546779633,
0.01899469457566738,
-0.027453655377030373,
-0.021075956523418427,
-0.006440441589802504,
0.1242663562297821,
-0.008983013220131397,
-0.0065261670388281345,
-0.0430537573993206,
0.025282692164182663,
-0.08129450678825378,
-0.04486946016550064,
-0.0250655896961689,
-0.00565355783328414,
0.028668416664004326,
-0.11462973803281784,
0.005378639791160822,
0.032854195684194565,
0.09304014593362808,
0.005527383182197809,
0.03523380309343338,
-0.03961118310689926,
-0.02011851780116558,
-0.04184867441654205,
0.010487212799489498,
-0.04307946190237999,
-0.028760382905602455,
0.12425456196069717,
-0.04175031557679176,
0.033291637897491455,
-0.007869726046919823,
-0.03231406211853027,
-0.023086659610271454,
-0.049602970480918884,
0.10052720457315445,
-0.03423595428466797,
0.05292253941297531,
0.05988547205924988,
0.05243438854813576,
0.013553090393543243,
0.026447810232639313,
0.01887395791709423,
-0.04592220485210419,
0.024136442691087723,
-0.07985123991966248,
-0.057912833988666534,
-0.006814499385654926,
0.018924936652183533,
-0.03157477453351021,
-0.033799003809690475,
-0.0037558439653366804,
0.0011376423062756658,
-0.04314122721552849,
0.040207844227552414,
-0.008403272368013859,
-0.022911449894309044,
-0.024677719920873642,
0.05986623838543892,
-0.03637594357132912,
-0.032369405031204224,
-0.0417400524020195,
0.0950901061296463,
-0.018923524767160416,
0.03579371050000191,
0.03906356170773506,
-0.026388369500637054,
0.04539841040968895,
-0.07317548245191574,
-0.006206132005900145,
-0.07192356139421463,
-0.011863461695611477,
0.02583983913064003,
0.07570967078208923,
-0.0025243100244551897,
0.0261301901191473,
-0.1589101254940033,
-0.015635356307029724,
-5.763278210224598e-8,
0.07032465934753418,
-0.01669558696448803,
0.017256414517760277,
-0.10576694458723068,
-0.006677287630736828,
0.04428798332810402,
-0.013767173513770103,
0.004350692965090275,
0.09598938375711441,
-0.016179503872990608,
-0.0062625291757285595,
-0.049122970551252365,
0.022872813045978546,
0.006723915226757526,
0.03134878724813461,
-0.007517936173826456,
0.024208951741456985,
0.044892068952322006,
0.012301149778068066,
-0.12913420796394348,
0.06623164564371109,
0.07343387603759766,
-0.08118820190429688,
-0.029617702588438988,
0.021680276840925217,
-0.048192914575338364,
0.0025557687040418386,
-0.03328249230980873,
-0.012852085754275322,
-0.05766066536307335,
-0.0031515087466686964,
-0.007871350273489952,
-0.0036102633457630873,
0.13864029943943024,
0.028583336621522903,
0.041317567229270935,
0.01915958896279335,
0.028218122199177742,
0.03987271338701248,
0.028719933703541756,
-0.01757984049618244,
0.0823722705245018,
0.0013693183427676558,
-0.04519571736454964,
0.013037835247814655,
0.009284315630793571,
0.046025656163692474,
0.04127173870801926,
-0.06431282311677933,
0.0680886059999466,
-0.0956546887755394,
-0.008153216913342476,
0.03772333264350891,
0.0995200127363205,
0.08918245136737823,
-0.00041750844684429467,
-0.15268054604530334,
0.006916690152138472,
-0.02246726304292679,
-0.07868707925081253,
-0.08675083518028259,
0.05070299655199051,
-0.01964891515672207,
-0.004169766325503588
] | null | null | null | null | null | null | null |
[
0.003263491438701749,
-0.04154186323285103,
0.07629939913749695,
-0.011159809306263924,
0.056704673916101456,
0.017271222546696663,
-0.04911292716860771,
0.025629928335547447,
-0.060896389186382294,
-0.10109928250312805,
-0.05783018469810486,
-0.04137828201055527,
-0.011320095509290695,
0.008111756294965744,
-0.026044417172670364,
-0.05808700621128082,
-0.00033110729418694973,
0.04258810728788376,
-0.03242779150605202,
-0.025389598682522774,
0.015431827865540981,
0.06472720205783844,
-0.032055050134658813,
-0.030402010306715965,
0.014764043502509594,
-0.046345338225364685,
0.04050111398100853,
-0.04409186542034149,
0.039038222283124924,
-0.008319546468555927,
-0.0031314040534198284,
-0.008807925507426262,
-0.02980578877031803,
-0.010816145688295364,
-0.03002794086933136,
-0.0374576561152935,
-0.055204492062330246,
0.11417784541845322,
-0.014595987275242805,
0.02578779123723507,
-0.00207103556022048,
-0.024919847026467323,
0.08494219183921814,
0.0668753907084465,
0.014718307182192802,
0.011441620998084545,
-0.028722569346427917,
0.05763143301010132,
-0.08758705109357834,
0.06284309178590775,
0.01657550036907196,
-0.055561136454343796,
0.006768418475985527,
0.031596776098012924,
-0.027657313272356987,
-0.007127328775823116,
-0.01729774847626686,
0.0035861064679920673,
-0.007237027864903212,
-0.009076609276235104,
0.02175655961036682,
-0.03516159951686859,
0.08170073479413986,
-0.052440106868743896,
-0.04561249539256096,
-0.08148133009672165,
-0.03346528857946396,
0.11137102544307709,
0.011293350718915462,
0.0701887458562851,
-0.0029627515468746424,
0.018629416823387146,
0.01385270431637764,
0.06619899719953537,
0.08614493161439896,
-0.014835692010819912,
-0.0032362528145313263,
0.06906669586896896,
-0.055598579347133636,
0.04646558314561844,
0.04039403051137924,
-0.052532900124788284,
-0.06349693983793259,
-0.11581958830356598,
-0.07810398191213608,
0.016638532280921936,
0.060168083757162094,
-0.01823364570736885,
-0.02514941431581974,
0.003183543449267745,
0.008266356773674488,
-0.02771175466477871,
-0.002006853697821498,
-0.0007479380001313984,
0.07186561077833176,
-0.04718676581978798,
-0.13193455338478088,
-0.004148936830461025,
0.014808163046836853,
-0.04624190554022789,
-0.05124455690383911,
-0.029730532318353653,
-0.02037080191075802,
0.12661106884479523,
0.034555576741695404,
-0.03191058710217476,
0.008989193476736546,
0.03904619440436363,
0.01125150453299284,
0.022894099354743958,
0.042919665575027466,
0.05907556414604187,
0.037266939878463745,
-0.019406640902161598,
0.05416639894247055,
-0.09914743900299072,
-0.013282375410199165,
-0.015905611217021942,
-0.054456956684589386,
-0.049473345279693604,
-0.015309679321944714,
0.03915137052536011,
-0.10555724054574966,
0.006354976911097765,
-0.008824765682220459,
0.04554679989814758,
0.055300433188676834,
1.074510110701541e-33,
0.0036634367424994707,
0.05031831935048103,
-0.08800773322582245,
0.023897211998701096,
-0.007966174744069576,
-0.0643143579363823,
0.08612517267465591,
0.03276139497756958,
0.003976268228143454,
0.0631270483136177,
-0.045030321925878525,
0.08484545350074768,
-0.04601447284221649,
0.036994628608226776,
-0.07047710567712784,
-0.007326509337872267,
0.029993433505296707,
-0.07947668433189392,
-0.015992604196071625,
0.028664441779255867,
-0.00032673453097231686,
-0.028965584933757782,
0.03890163451433182,
-0.01935501955449581,
0.024159958586096764,
-0.07107735425233841,
-0.050337448716163635,
-0.08768265694379807,
0.05962575599551201,
0.038031596690416336,
-0.0899898111820221,
-0.07838667184114456,
0.012337040156126022,
-0.051217157393693924,
0.06512058526277542,
0.07337172329425812,
0.017310412600636482,
0.03027702495455742,
-0.004755199421197176,
0.0012527891667559743,
-0.10413165390491486,
0.00916832685470581,
-0.015238563530147076,
0.05888032913208008,
-0.008022481575608253,
-0.03735671564936638,
-0.07329162955284119,
0.057401709258556366,
-0.006717907264828682,
-0.0374956876039505,
0.032477330416440964,
-0.009264876134693623,
-0.02749081887304783,
0.03160714730620384,
0.053071506321430206,
-0.05870674178004265,
0.04497998580336571,
0.00968596339225769,
-0.08382216840982437,
-0.018422938883304596,
0.04001985490322113,
0.08809696137905121,
0.02692255936563015,
0.001434334903024137,
0.031391967087984085,
0.08563907444477081,
0.013205581344664097,
0.056074108928442,
0.016710596159100533,
-0.06831469386816025,
0.06150837615132332,
-0.00886312685906887,
0.045749884098768234,
0.002058778889477253,
0.020609186962246895,
0.023358512669801712,
-0.04549726843833923,
-0.056010860949754715,
0.06018561124801636,
-0.06115525960922241,
-0.022187141701579094,
0.03686017170548439,
-0.06822612881660461,
-0.010404217056930065,
-0.03517352044582367,
0.040104467421770096,
0.02486768551170826,
0.023496102541685104,
0.015202091075479984,
-0.0733623281121254,
-0.06631727516651154,
0.020562658086419106,
0.14013861119747162,
-0.02007743902504444,
0.017707128077745438,
-3.277771590377898e-33,
0.040950167924165726,
0.02615663781762123,
-0.02760482020676136,
0.01672567054629326,
0.0031626217532902956,
0.04835665225982666,
0.13462768495082855,
0.13732273876667023,
-0.030688194558024406,
-0.09012173116207123,
-0.038094401359558105,
-0.03804488852620125,
-0.010523485019803047,
0.08794593065977097,
-0.004811614751815796,
-0.055219244211912155,
-0.06139858812093735,
-0.07979704439640045,
0.06426535546779633,
0.01899469457566738,
-0.027453655377030373,
-0.021075956523418427,
-0.006440441589802504,
0.1242663562297821,
-0.008983013220131397,
-0.0065261670388281345,
-0.0430537573993206,
0.025282692164182663,
-0.08129450678825378,
-0.04486946016550064,
-0.0250655896961689,
-0.00565355783328414,
0.028668416664004326,
-0.11462973803281784,
0.005378639791160822,
0.032854195684194565,
0.09304014593362808,
0.005527383182197809,
0.03523380309343338,
-0.03961118310689926,
-0.02011851780116558,
-0.04184867441654205,
0.010487212799489498,
-0.04307946190237999,
-0.028760382905602455,
0.12425456196069717,
-0.04175031557679176,
0.033291637897491455,
-0.007869726046919823,
-0.03231406211853027,
-0.023086659610271454,
-0.049602970480918884,
0.10052720457315445,
-0.03423595428466797,
0.05292253941297531,
0.05988547205924988,
0.05243438854813576,
0.013553090393543243,
0.026447810232639313,
0.01887395791709423,
-0.04592220485210419,
0.024136442691087723,
-0.07985123991966248,
-0.057912833988666534,
-0.006814499385654926,
0.018924936652183533,
-0.03157477453351021,
-0.033799003809690475,
-0.0037558439653366804,
0.0011376423062756658,
-0.04314122721552849,
0.040207844227552414,
-0.008403272368013859,
-0.022911449894309044,
-0.024677719920873642,
0.05986623838543892,
-0.03637594357132912,
-0.032369405031204224,
-0.0417400524020195,
0.0950901061296463,
-0.018923524767160416,
0.03579371050000191,
0.03906356170773506,
-0.026388369500637054,
0.04539841040968895,
-0.07317548245191574,
-0.006206132005900145,
-0.07192356139421463,
-0.011863461695611477,
0.02583983913064003,
0.07570967078208923,
-0.0025243100244551897,
0.0261301901191473,
-0.1589101254940033,
-0.015635356307029724,
-5.763278210224598e-8,
0.07032465934753418,
-0.01669558696448803,
0.017256414517760277,
-0.10576694458723068,
-0.006677287630736828,
0.04428798332810402,
-0.013767173513770103,
0.004350692965090275,
0.09598938375711441,
-0.016179503872990608,
-0.0062625291757285595,
-0.049122970551252365,
0.022872813045978546,
0.006723915226757526,
0.03134878724813461,
-0.007517936173826456,
0.024208951741456985,
0.044892068952322006,
0.012301149778068066,
-0.12913420796394348,
0.06623164564371109,
0.07343387603759766,
-0.08118820190429688,
-0.029617702588438988,
0.021680276840925217,
-0.048192914575338364,
0.0025557687040418386,
-0.03328249230980873,
-0.012852085754275322,
-0.05766066536307335,
-0.0031515087466686964,
-0.007871350273489952,
-0.0036102633457630873,
0.13864029943943024,
0.028583336621522903,
0.041317567229270935,
0.01915958896279335,
0.028218122199177742,
0.03987271338701248,
0.028719933703541756,
-0.01757984049618244,
0.0823722705245018,
0.0013693183427676558,
-0.04519571736454964,
0.013037835247814655,
0.009284315630793571,
0.046025656163692474,
0.04127173870801926,
-0.06431282311677933,
0.0680886059999466,
-0.0956546887755394,
-0.008153216913342476,
0.03772333264350891,
0.0995200127363205,
0.08918245136737823,
-0.00041750844684429467,
-0.15268054604530334,
0.006916690152138472,
-0.02246726304292679,
-0.07868707925081253,
-0.08675083518028259,
0.05070299655199051,
-0.01964891515672207,
-0.004169766325503588
] |
1402.2874
|
Maria Paola Santisi D'Avila
|
Maria Paola Santisi D'Avila (JAD), Luca Lenti (IFSTTAR/GERS/SV),
Jean-Fran\c{c}ois Semblat (IFSTTAR/GERS/SV), Ali Gandomzadeh (LCPC/MSRGI),
Salvatore Martino, Luis Fabian Bonilla
|
Strong seismic motions estimated from a one direction-three components
("1d-3c") approach, application to the city of rome, italy
|
5th International Conference on Earthquake Geotechnical Engineering,
Chile (2011)
| null | null | null |
physics.geo-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Strong seismic motions in soils generally lead to both a stiffness reduction
and an increase of the energy dissipation in the surficial layers. In order to
study such phenomena, several nonlinear constitutive models were proposed and
were generally implemented for 1D soil columns. However, one of the main
difficulties of complex rheologies is the large number of parameters needed to
describe the model. In this sense, the multi-surface cyclic plasticity
approach, developed by Iwan in 1967 but linked to Prandtl or Preisach
theoretical work, is an interesting choice: the only data needed is the modulus
reduction curve. Past studies have generally implemented such models for
one-directional shear wave propagation in a "1D" soil column considering one
motion component only ("1C"). Conversely, this work aims at studying strong
motion amplification by considering seismic wave propagation in a "1D" soil
column accounting for the influence of the 3D loading path on the nonlinear
behavior of each soil layer. In the "1D-3C" approach, the three components (3C)
of the outcrop motion are simultaneously propagated into a horizontally layered
soil for which a three-dimensional constitutive relation is used (Finite
Element Method). The alluvial site considered in this study corresponds to the
Tiber River Valley, close to the historical centre of Rome (Italy). The
computations are performed considering the waveforms referred as the 14th
October 1997 Umbria-Marche earthquake, recorded on outcropping bedrock. Time
histories and stress-strain hysteretic loops are computed all along the soil
column. The octahedral stress, the strain-depth profiles and the transfer
functions in acceleration (surface/outcrop spectral ratios) are estimated for
the 1D-1C and the 1D-3C approaches, evidencing the influence of the
three-dimensional loading path.
|
[
{
"created": "Mon, 10 Feb 2014 07:19:31 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"D'Avila",
"Maria Paola Santisi",
"",
"JAD"
],
[
"Lenti",
"Luca",
"",
"IFSTTAR/GERS/SV"
],
[
"Semblat",
"Jean-François",
"",
"IFSTTAR/GERS/SV"
],
[
"Gandomzadeh",
"Ali",
"",
"LCPC/MSRGI"
],
[
"Martino",
"Salvatore",
""
],
[
"Bonilla",
"Luis Fabian",
""
]
] |
[
-0.06494474411010742,
-0.06378821283578873,
0.06915457546710968,
-0.05784625560045242,
0.018347570672631264,
-0.11556980013847351,
-0.12098996341228485,
-0.0051468960009515285,
0.024688521400094032,
0.017090989276766777,
-0.008652767166495323,
-0.036291949450969696,
0.0034531443379819393,
-0.03808116912841797,
0.016426680609583855,
0.0423927940428257,
-0.07911036163568497,
0.09955623000860214,
-0.0637693703174591,
0.024275800213217735,
0.09603920578956604,
0.0376405194401741,
-0.03034464828670025,
-0.04693444073200226,
0.026103239506483078,
0.00528417993336916,
-0.05976159870624542,
0.07941794395446777,
0.01809336431324482,
-0.02712976559996605,
0.05061735585331917,
-0.009751969017088413,
-0.07036067545413971,
0.07136496901512146,
-0.06560035049915314,
0.084217369556427,
-0.08388180285692215,
-0.020233433693647385,
-0.02268459089100361,
0.0702056810259819,
-0.07083303481340408,
-0.0002354929456487298,
0.0842079445719719,
-0.034613803029060364,
0.00887409970164299,
-0.0824698656797409,
-0.017338333651423454,
-0.05799127742648125,
-0.057936057448387146,
-0.0141435656696558,
0.03665817901492119,
0.022082772105932236,
-0.05353201925754547,
0.032083287835121155,
-0.004168160259723663,
0.02176489681005478,
0.047153037041425705,
0.0680110976099968,
0.014331170357763767,
-0.039245568215847015,
0.08586274087429047,
0.05174756422638893,
0.019081758335232735,
-0.03844920173287392,
0.08459413051605225,
-0.016063209623098373,
-0.01622585393488407,
-0.005806408356875181,
0.000619248254224658,
0.012591386213898659,
-0.05795178934931755,
-0.007235132623463869,
0.08707907795906067,
-0.03422505781054497,
0.025949308648705482,
0.00022280697885435075,
-0.02379637211561203,
0.11253299564123154,
-0.039732884615659714,
-0.10945456475019455,
0.05016566067934036,
0.003061880823224783,
0.00040768826147541404,
-0.09261716902256012,
-0.06907536834478378,
0.03192431107163429,
-0.04911059886217117,
0.026659533381462097,
0.011957217007875443,
0.03472452983260155,
0.05226536840200424,
0.07807508856058121,
-0.06404133141040802,
0.025322165340185165,
0.04806642234325409,
-0.04201888293027878,
-0.03318626433610916,
-0.04676276817917824,
-0.009276467375457287,
0.02050311304628849,
-0.0202073585242033,
0.05492169037461281,
0.023812102153897285,
0.07731130719184875,
0.030883997678756714,
-0.0006146302330307662,
-0.016808541491627693,
0.007062539923936129,
-0.016253594309091568,
0.13933847844600677,
-0.0353279709815979,
-0.03936537727713585,
0.025388114154338837,
-0.021886030212044716,
-0.06589167565107346,
-0.08027616143226624,
0.03555867448449135,
0.05690445750951767,
-0.01768779568374157,
-0.03327943757176399,
0.05507456138730049,
-0.06567861884832382,
-0.03863180801272392,
-0.035062406212091446,
0.04884598031640053,
-0.03951484337449074,
-0.014957519248127937,
3.193182649550742e-33,
0.013368906453251839,
0.0853637084364891,
-0.07827413827180862,
-0.015627315267920494,
-0.016007201746106148,
-0.02886088192462921,
0.008783049881458282,
0.02754647098481655,
-0.02670017071068287,
0.016390016302466393,
-0.07417450100183487,
0.03574170172214508,
-0.053499817848205566,
0.06077764928340912,
-0.0229999627918005,
0.02227380871772766,
0.05908976122736931,
-0.1132531687617302,
0.002118047559633851,
0.06719957292079926,
0.010122604668140411,
0.006946400739252567,
-0.014327825978398323,
-0.03700881078839302,
0.019587179645895958,
-0.13008743524551392,
0.032825011759996414,
0.024268997833132744,
-0.07588121294975281,
0.013939428143203259,
0.015715107321739197,
-0.00683795940130949,
-0.10993333160877228,
-0.030323484912514687,
0.03815917670726776,
-0.00012310197053011507,
0.05403386056423187,
0.002800659742206335,
-0.01929590106010437,
0.03544376417994499,
-0.05412238836288452,
-0.046946778893470764,
0.09264521300792694,
0.00519799767062068,
0.011705709621310234,
-0.02017304114997387,
0.04963672161102295,
0.08928559720516205,
-0.03198321908712387,
-0.011324336752295494,
0.05225174501538277,
0.007124199066311121,
0.006858325097709894,
-0.04008529707789421,
0.025996217504143715,
-0.01551251020282507,
0.05717010796070099,
-0.06878971308469772,
-0.023332683369517326,
0.1039927676320076,
-0.04340285435318947,
-0.060495782643556595,
0.05277876928448677,
-0.014267575927078724,
0.015124529600143433,
0.012670798227190971,
-0.07543881237506866,
0.0528155155479908,
0.04423749819397926,
0.020571095868945122,
-0.012328161858022213,
0.014505562372505665,
-0.011800853535532951,
0.03635181859135628,
-0.05072173848748207,
-0.0229520034044981,
-0.04643126577138901,
-0.07698778808116913,
0.021392881870269775,
0.020625358447432518,
-0.06649311631917953,
0.05922669544816017,
-0.013471136800944805,
-0.010191638022661209,
-0.009912120178341866,
0.05262694135308266,
0.04303576424717903,
-0.05818722024559975,
0.01627509295940399,
-0.0728679895401001,
-0.03916511312127113,
-0.021320892497897148,
0.07727904617786407,
-0.04841223731637001,
0.02917364239692688,
-4.546573009348613e-33,
-0.04772117733955383,
0.08862730860710144,
-0.1245734840631485,
0.12050595879554749,
0.05696934089064598,
0.03448837623000145,
-0.015984371304512024,
0.04451785236597061,
-0.00817325059324503,
-0.0683426633477211,
0.10965248942375183,
0.020716330036520958,
-0.01358471717685461,
0.06868081539869308,
0.03972678631544113,
0.04508603364229202,
-0.07753130048513412,
-0.083458811044693,
-0.029472505673766136,
0.02940475381910801,
-0.0015552198747172952,
-0.019181588664650917,
-0.034943826496601105,
0.010739347897469997,
-0.013035970740020275,
-0.003004509024322033,
-0.08447738736867905,
-0.039910878986120224,
0.013165360316634178,
0.04027951881289482,
-0.07500265538692474,
0.04425066336989403,
0.01595662720501423,
-0.025539081543684006,
-0.017942948266863823,
0.11215563863515854,
-0.0015806244919076562,
-0.06882896274328232,
0.05740056186914444,
-0.029958873987197876,
0.0045323120430111885,
0.024233901873230934,
0.06807298213243484,
-0.049458786845207214,
-0.058179404586553574,
0.02514590136706829,
0.04862773045897484,
0.0690665990114212,
0.0019360093865543604,
0.015053069218993187,
0.01383122242987156,
0.09819874167442322,
0.026775946840643883,
-0.006209785118699074,
0.1079014465212822,
0.07027972489595413,
-0.03579645976424217,
0.0017733632121235132,
-0.03374456614255905,
-0.04048815369606018,
-0.06466825306415558,
0.03796263784170151,
-0.0013529745629057288,
0.013962112367153168,
0.021093664690852165,
-0.021855628117918968,
-0.005317262839525938,
-0.0365702286362648,
-0.0567559152841568,
0.025734756141901016,
-0.06071925908327103,
-0.0002080843405565247,
0.1377042680978775,
-0.05383104085922241,
0.05722329393029213,
-0.0732305571436882,
0.04110997915267944,
0.01385198812931776,
-0.07575386017560959,
0.04346016049385071,
0.03469948098063469,
0.04342270642518997,
0.01776966080069542,
-0.0025550411082804203,
-0.04999305680394173,
-0.0593414381146431,
0.0017653129762038589,
-0.04542100057005882,
0.03429683670401573,
0.06379281729459763,
0.11599519103765488,
0.03872065618634224,
0.014497557654976845,
0.023944256827235222,
0.045277729630470276,
-5.487974874540669e-8,
0.025629812851548195,
-0.009882038459181786,
0.0018363612471148372,
-0.07419504970312119,
0.04534206539392471,
0.014638763852417469,
0.06286004185676575,
-0.009916095994412899,
0.04075462371110916,
-0.061185456812381744,
0.00028140810900367796,
0.029443826526403427,
-0.06446485221385956,
-0.020869363099336624,
-0.012225834652781487,
0.03597289323806763,
-0.00003923120311810635,
0.0019284923328086734,
-0.04051389917731285,
-0.030606674030423164,
0.01240868866443634,
-0.04016938805580139,
-0.10179954022169113,
0.038606949150562286,
0.09884852170944214,
-0.02507214993238449,
-0.11820106208324432,
-0.09165222197771072,
-0.04335714131593704,
0.0885419175028801,
-0.021711498498916626,
-0.046111542731523514,
-0.07021307200193405,
0.015605156309902668,
-0.044769275933504105,
0.08350777626037598,
0.01615968905389309,
-0.017865819856524467,
-0.03227994218468666,
0.039624013006687164,
0.04121828079223633,
0.08903733640909195,
-0.014882227405905724,
0.018892891705036163,
0.08270435780286789,
-0.004390212707221508,
-0.07518206536769867,
-0.02628002129495144,
-0.012177464552223682,
0.019564621150493622,
-0.08669914305210114,
0.03577852621674538,
0.01816600188612938,
0.044032592326402664,
0.08474745601415634,
0.05448926240205765,
-0.07109265774488449,
-0.019544081762433052,
0.006857057102024555,
0.03469523414969444,
-0.07821086794137955,
0.023685000836849213,
0.025857729837298393,
-0.08672009408473969
] | null | null | null | null | null | null | null |
[
-0.06494474411010742,
-0.06378821283578873,
0.06915457546710968,
-0.05784625560045242,
0.018347570672631264,
-0.11556980013847351,
-0.12098996341228485,
-0.0051468960009515285,
0.024688521400094032,
0.017090989276766777,
-0.008652767166495323,
-0.036291949450969696,
0.0034531443379819393,
-0.03808116912841797,
0.016426680609583855,
0.0423927940428257,
-0.07911036163568497,
0.09955623000860214,
-0.0637693703174591,
0.024275800213217735,
0.09603920578956604,
0.0376405194401741,
-0.03034464828670025,
-0.04693444073200226,
0.026103239506483078,
0.00528417993336916,
-0.05976159870624542,
0.07941794395446777,
0.01809336431324482,
-0.02712976559996605,
0.05061735585331917,
-0.009751969017088413,
-0.07036067545413971,
0.07136496901512146,
-0.06560035049915314,
0.084217369556427,
-0.08388180285692215,
-0.020233433693647385,
-0.02268459089100361,
0.0702056810259819,
-0.07083303481340408,
-0.0002354929456487298,
0.0842079445719719,
-0.034613803029060364,
0.00887409970164299,
-0.0824698656797409,
-0.017338333651423454,
-0.05799127742648125,
-0.057936057448387146,
-0.0141435656696558,
0.03665817901492119,
0.022082772105932236,
-0.05353201925754547,
0.032083287835121155,
-0.004168160259723663,
0.02176489681005478,
0.047153037041425705,
0.0680110976099968,
0.014331170357763767,
-0.039245568215847015,
0.08586274087429047,
0.05174756422638893,
0.019081758335232735,
-0.03844920173287392,
0.08459413051605225,
-0.016063209623098373,
-0.01622585393488407,
-0.005806408356875181,
0.000619248254224658,
0.012591386213898659,
-0.05795178934931755,
-0.007235132623463869,
0.08707907795906067,
-0.03422505781054497,
0.025949308648705482,
0.00022280697885435075,
-0.02379637211561203,
0.11253299564123154,
-0.039732884615659714,
-0.10945456475019455,
0.05016566067934036,
0.003061880823224783,
0.00040768826147541404,
-0.09261716902256012,
-0.06907536834478378,
0.03192431107163429,
-0.04911059886217117,
0.026659533381462097,
0.011957217007875443,
0.03472452983260155,
0.05226536840200424,
0.07807508856058121,
-0.06404133141040802,
0.025322165340185165,
0.04806642234325409,
-0.04201888293027878,
-0.03318626433610916,
-0.04676276817917824,
-0.009276467375457287,
0.02050311304628849,
-0.0202073585242033,
0.05492169037461281,
0.023812102153897285,
0.07731130719184875,
0.030883997678756714,
-0.0006146302330307662,
-0.016808541491627693,
0.007062539923936129,
-0.016253594309091568,
0.13933847844600677,
-0.0353279709815979,
-0.03936537727713585,
0.025388114154338837,
-0.021886030212044716,
-0.06589167565107346,
-0.08027616143226624,
0.03555867448449135,
0.05690445750951767,
-0.01768779568374157,
-0.03327943757176399,
0.05507456138730049,
-0.06567861884832382,
-0.03863180801272392,
-0.035062406212091446,
0.04884598031640053,
-0.03951484337449074,
-0.014957519248127937,
3.193182649550742e-33,
0.013368906453251839,
0.0853637084364891,
-0.07827413827180862,
-0.015627315267920494,
-0.016007201746106148,
-0.02886088192462921,
0.008783049881458282,
0.02754647098481655,
-0.02670017071068287,
0.016390016302466393,
-0.07417450100183487,
0.03574170172214508,
-0.053499817848205566,
0.06077764928340912,
-0.0229999627918005,
0.02227380871772766,
0.05908976122736931,
-0.1132531687617302,
0.002118047559633851,
0.06719957292079926,
0.010122604668140411,
0.006946400739252567,
-0.014327825978398323,
-0.03700881078839302,
0.019587179645895958,
-0.13008743524551392,
0.032825011759996414,
0.024268997833132744,
-0.07588121294975281,
0.013939428143203259,
0.015715107321739197,
-0.00683795940130949,
-0.10993333160877228,
-0.030323484912514687,
0.03815917670726776,
-0.00012310197053011507,
0.05403386056423187,
0.002800659742206335,
-0.01929590106010437,
0.03544376417994499,
-0.05412238836288452,
-0.046946778893470764,
0.09264521300792694,
0.00519799767062068,
0.011705709621310234,
-0.02017304114997387,
0.04963672161102295,
0.08928559720516205,
-0.03198321908712387,
-0.011324336752295494,
0.05225174501538277,
0.007124199066311121,
0.006858325097709894,
-0.04008529707789421,
0.025996217504143715,
-0.01551251020282507,
0.05717010796070099,
-0.06878971308469772,
-0.023332683369517326,
0.1039927676320076,
-0.04340285435318947,
-0.060495782643556595,
0.05277876928448677,
-0.014267575927078724,
0.015124529600143433,
0.012670798227190971,
-0.07543881237506866,
0.0528155155479908,
0.04423749819397926,
0.020571095868945122,
-0.012328161858022213,
0.014505562372505665,
-0.011800853535532951,
0.03635181859135628,
-0.05072173848748207,
-0.0229520034044981,
-0.04643126577138901,
-0.07698778808116913,
0.021392881870269775,
0.020625358447432518,
-0.06649311631917953,
0.05922669544816017,
-0.013471136800944805,
-0.010191638022661209,
-0.009912120178341866,
0.05262694135308266,
0.04303576424717903,
-0.05818722024559975,
0.01627509295940399,
-0.0728679895401001,
-0.03916511312127113,
-0.021320892497897148,
0.07727904617786407,
-0.04841223731637001,
0.02917364239692688,
-4.546573009348613e-33,
-0.04772117733955383,
0.08862730860710144,
-0.1245734840631485,
0.12050595879554749,
0.05696934089064598,
0.03448837623000145,
-0.015984371304512024,
0.04451785236597061,
-0.00817325059324503,
-0.0683426633477211,
0.10965248942375183,
0.020716330036520958,
-0.01358471717685461,
0.06868081539869308,
0.03972678631544113,
0.04508603364229202,
-0.07753130048513412,
-0.083458811044693,
-0.029472505673766136,
0.02940475381910801,
-0.0015552198747172952,
-0.019181588664650917,
-0.034943826496601105,
0.010739347897469997,
-0.013035970740020275,
-0.003004509024322033,
-0.08447738736867905,
-0.039910878986120224,
0.013165360316634178,
0.04027951881289482,
-0.07500265538692474,
0.04425066336989403,
0.01595662720501423,
-0.025539081543684006,
-0.017942948266863823,
0.11215563863515854,
-0.0015806244919076562,
-0.06882896274328232,
0.05740056186914444,
-0.029958873987197876,
0.0045323120430111885,
0.024233901873230934,
0.06807298213243484,
-0.049458786845207214,
-0.058179404586553574,
0.02514590136706829,
0.04862773045897484,
0.0690665990114212,
0.0019360093865543604,
0.015053069218993187,
0.01383122242987156,
0.09819874167442322,
0.026775946840643883,
-0.006209785118699074,
0.1079014465212822,
0.07027972489595413,
-0.03579645976424217,
0.0017733632121235132,
-0.03374456614255905,
-0.04048815369606018,
-0.06466825306415558,
0.03796263784170151,
-0.0013529745629057288,
0.013962112367153168,
0.021093664690852165,
-0.021855628117918968,
-0.005317262839525938,
-0.0365702286362648,
-0.0567559152841568,
0.025734756141901016,
-0.06071925908327103,
-0.0002080843405565247,
0.1377042680978775,
-0.05383104085922241,
0.05722329393029213,
-0.0732305571436882,
0.04110997915267944,
0.01385198812931776,
-0.07575386017560959,
0.04346016049385071,
0.03469948098063469,
0.04342270642518997,
0.01776966080069542,
-0.0025550411082804203,
-0.04999305680394173,
-0.0593414381146431,
0.0017653129762038589,
-0.04542100057005882,
0.03429683670401573,
0.06379281729459763,
0.11599519103765488,
0.03872065618634224,
0.014497557654976845,
0.023944256827235222,
0.045277729630470276,
-5.487974874540669e-8,
0.025629812851548195,
-0.009882038459181786,
0.0018363612471148372,
-0.07419504970312119,
0.04534206539392471,
0.014638763852417469,
0.06286004185676575,
-0.009916095994412899,
0.04075462371110916,
-0.061185456812381744,
0.00028140810900367796,
0.029443826526403427,
-0.06446485221385956,
-0.020869363099336624,
-0.012225834652781487,
0.03597289323806763,
-0.00003923120311810635,
0.0019284923328086734,
-0.04051389917731285,
-0.030606674030423164,
0.01240868866443634,
-0.04016938805580139,
-0.10179954022169113,
0.038606949150562286,
0.09884852170944214,
-0.02507214993238449,
-0.11820106208324432,
-0.09165222197771072,
-0.04335714131593704,
0.0885419175028801,
-0.021711498498916626,
-0.046111542731523514,
-0.07021307200193405,
0.015605156309902668,
-0.044769275933504105,
0.08350777626037598,
0.01615968905389309,
-0.017865819856524467,
-0.03227994218468666,
0.039624013006687164,
0.04121828079223633,
0.08903733640909195,
-0.014882227405905724,
0.018892891705036163,
0.08270435780286789,
-0.004390212707221508,
-0.07518206536769867,
-0.02628002129495144,
-0.012177464552223682,
0.019564621150493622,
-0.08669914305210114,
0.03577852621674538,
0.01816600188612938,
0.044032592326402664,
0.08474745601415634,
0.05448926240205765,
-0.07109265774488449,
-0.019544081762433052,
0.006857057102024555,
0.03469523414969444,
-0.07821086794137955,
0.023685000836849213,
0.025857729837298393,
-0.08672009408473969
] |
1402.2875
|
Anton Daitche
|
Anton Daitche and Tam\'as T\'el
|
Memory effects in chaotic advection of inertial particles
| null |
New Journal of Physics 16 073008 (2014)
|
10.1088/1367-2630/16/7/073008
| null |
physics.flu-dyn nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A systematic investigation of the effect of the history force on particle
advection is carried out for both heavy and light particles. General relations
are given to identify parameter regions where the history force is expected to
be comparable with the Stokes drag. As an illustrative example, a paradigmatic
two-dimensional flow, the von K\'arm\'an flow is taken. For small (but not
extremely small) particles all investigated dynamical properties turn out to
heavily depend on the presence of memory when compared to the memoryless case:
the history force generates a rather non-trivial dynamics that appears to
weaken (but not to suppress) inertial effects, it enhances the overall
contribution of viscosity. We explore the parameter space spanned by the
particle size and the density ratio, and find a weaker tendency for
accumulation in attractors and for caustics formation. The Lyapunov exponent of
transients becomes larger with memory. Periodic attractors are found to have a
very slow, $t^{-1/2}$ type convergence towards the asymptotic form. We find
that the concept of snapshot attractors is useful to understand this slow
convergence: an ensemble of particles converges exponentially fast towards a
snapshot attractor, which undergoes a slow shift for long times.
|
[
{
"created": "Wed, 12 Feb 2014 16:19:54 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jul 2014 11:50:37 GMT",
"version": "v2"
}
] |
2014-07-25
|
[
[
"Daitche",
"Anton",
""
],
[
"Tél",
"Tamás",
""
]
] |
[
-0.023218505084514618,
-0.07740280032157898,
0.014372770674526691,
0.11901286989450455,
0.05685706064105034,
0.04120602086186409,
-0.04478883743286133,
-0.047375693917274475,
0.1020527109503746,
-0.01612544059753418,
0.05377361923456192,
-0.012264660559594631,
0.02136247791349888,
-0.011303448118269444,
-0.02080369181931019,
0.002771264873445034,
0.02105185203254223,
0.007187972776591778,
0.002735384041443467,
0.02262871153652668,
0.046735092997550964,
-0.028640765696763992,
0.018046900629997253,
0.05291171744465828,
-0.05129944905638695,
0.01686032861471176,
-0.03723450005054474,
-0.021604027599096298,
-0.018223047256469727,
-0.03597574681043625,
0.04327283427119255,
0.021240217611193657,
-0.1469598263502121,
0.01882457733154297,
-0.06082228198647499,
0.010205807164311409,
-0.02126128599047661,
0.044093579053878784,
-0.035821910947561264,
-0.02415494993329048,
-0.005111835431307554,
0.03209159895777702,
0.006599291693419218,
-0.017144516110420227,
0.03314085304737091,
0.04417252540588379,
0.0851629301905632,
-0.006635739468038082,
-0.03290155157446861,
-0.009005087427794933,
-0.037001099437475204,
-0.010758841410279274,
0.01623287983238697,
0.009491956792771816,
0.013036224991083145,
-0.010801645927131176,
0.014135385863482952,
0.022244105115532875,
-0.02541610412299633,
-0.048238832503557205,
0.0070358687080442905,
-0.018598048016428947,
-0.011341718956828117,
-0.0005769109702669084,
-0.09093121439218521,
-0.036953069269657135,
0.021198397502303123,
0.05579700320959091,
0.048125628381967545,
0.07408072054386139,
0.026062490418553352,
0.10402417182922363,
-0.05906420946121216,
0.021242473274469376,
0.05985446646809578,
-0.013523702509701252,
-0.042332954704761505,
0.04008205235004425,
-0.030235378071665764,
-0.01935514435172081,
0.06937290728092194,
-0.01835293136537075,
-0.051976192742586136,
-0.007520793471485376,
-0.07281641662120819,
0.052948299795389175,
0.04738476499915123,
-0.02764146775007248,
-0.004037796985358,
-0.05902593582868576,
0.021949833258986473,
0.0216175876557827,
0.02192593738436699,
-0.05341561883687973,
0.15537744760513306,
-0.041791290044784546,
0.08418114483356476,
0.04145604372024536,
0.044939544051885605,
0.00468139722943306,
-0.008450042456388474,
0.00215714774094522,
-0.0030005844309926033,
0.16580267250537872,
0.04963063821196556,
-0.007270789239555597,
0.039333805441856384,
0.0011017994256690145,
0.03870442137122154,
0.09660914540290833,
0.08898689597845078,
-0.017076749354600906,
-0.0019000864122062922,
0.06095883250236511,
0.008559273555874825,
-0.09044397622346878,
-0.011267543770372868,
-0.04285980015993118,
-0.06575693935155869,
0.0975802019238472,
0.02466653846204281,
-0.04598666727542877,
-0.10673495382070541,
-0.013560350053012371,
0.06551697850227356,
0.0030353758484125137,
0.011557976715266705,
8.52636562174292e-34,
0.08970409631729126,
-0.01815057545900345,
-0.02210083045065403,
0.03380540758371353,
0.038857921957969666,
-0.057297371327877045,
0.07024288922548294,
0.019487202167510986,
-0.025920508429408073,
0.000741654250305146,
-0.07684285193681717,
0.035289466381073,
-0.060656122863292694,
0.1229349821805954,
-0.07200327515602112,
-0.09651941061019897,
-0.04088814556598663,
0.00951915793120861,
0.06007283553481102,
-0.04833308979868889,
-0.06497400254011154,
-0.003217496443539858,
-0.0549006350338459,
-0.13638919591903687,
-0.049480970948934555,
0.030355511233210564,
-0.006486605852842331,
0.04651414975523949,
-0.03943852707743645,
0.020621903240680695,
-0.0342055968940258,
0.027485700324177742,
-0.08705957233905792,
0.052150387316942215,
0.022693408653140068,
0.041447218507528305,
-0.0468192957341671,
-0.05607070401310921,
0.0717812106013298,
-0.09015455842018127,
-0.006471695378422737,
0.04426366463303566,
-0.08214869350194931,
0.017988163977861404,
-0.05599034205079079,
-0.01932583749294281,
0.06810206919908524,
-0.003539147088304162,
-0.08510499447584152,
-0.05872052162885666,
0.07903977483510971,
0.010851595550775528,
-0.013806873001158237,
0.0018704721005633473,
0.0385713167488575,
-0.06959519535303116,
0.0577206127345562,
-0.008258414454758167,
-0.08185917139053345,
0.034952230751514435,
-0.0002202829928137362,
0.07883566617965698,
0.0377197228372097,
0.007828166708350182,
0.05186363309621811,
0.04206349700689316,
-0.023665456101298332,
0.08042934536933899,
0.017053790390491486,
-0.009450502693653107,
0.03445329889655113,
-0.004525813739746809,
-0.01829853467643261,
-0.06669285148382187,
0.05519630387425423,
0.054280657321214676,
0.07968658208847046,
-0.021115675568580627,
-0.052341528236866,
0.06970278918743134,
-0.025039007887244225,
-0.15482476353645325,
-0.014749678783118725,
0.0017662792233750224,
-0.04397411644458771,
-0.0451541393995285,
0.06674984842538834,
-0.06746998429298401,
-0.030306501314044,
-0.03508266061544418,
-0.031330354511737823,
-0.04824191331863403,
0.12133965641260147,
0.01743946596980095,
-0.0849248543381691,
-3.926670185970725e-33,
-0.0030652072746306658,
-0.047838274389505386,
-0.02553294412791729,
0.10543835908174515,
0.019536595791578293,
0.0225534625351429,
-0.09457423537969589,
0.019329648464918137,
-0.03994404897093773,
-0.16984717547893524,
-0.007062307558953762,
0.019775941967964172,
-0.034850262105464935,
0.03368174657225609,
0.0705413743853569,
0.013707953505218029,
0.0011695359135046601,
-0.03743131086230278,
0.004017800558358431,
-0.09261766821146011,
-0.07343627512454987,
-0.050481390208005905,
0.04476040229201317,
-0.02069680579006672,
-0.003307655220851302,
-0.0022531941067427397,
0.00577556062489748,
0.0055902195163071156,
-0.0864882618188858,
0.045569371432065964,
-0.01978238858282566,
-0.10128948837518692,
0.01651124097406864,
0.05176659673452377,
-0.04785418510437012,
0.055691953748464584,
0.0006359207909554243,
0.03351866453886032,
0.07522954046726227,
0.020884236320853233,
-0.02588178776204586,
0.009365802630782127,
0.027139045298099518,
-0.0038543783593922853,
0.043948013335466385,
-0.01994687132537365,
-0.016271231696009636,
0.037923093885183334,
0.06441588699817657,
0.06096615269780159,
-0.03218214958906174,
0.04329383745789528,
0.0117756063118577,
0.07015324383974075,
0.026462774723768234,
0.0914163812994957,
0.028735490515828133,
0.025386830791831017,
0.026394521817564964,
-0.05185491964221001,
-0.0693838968873024,
-0.003400444285944104,
-0.05831171199679375,
-0.03491584211587906,
-0.02573244459927082,
-0.05697355791926384,
-0.06418383866548538,
-0.02876191772520542,
0.01210971549153328,
-0.06406569480895996,
0.05399992689490318,
-0.0032304166816174984,
0.03686808422207832,
0.04093028977513313,
0.03761173039674759,
-0.04868463799357414,
0.09227493405342102,
-0.01234575267881155,
-0.09568031132221222,
-0.017994144931435585,
-0.07811799645423889,
0.11053851991891861,
0.06046965345740318,
-0.07125776261091232,
-0.04298512637615204,
0.017807267606258392,
-0.06457389146089554,
-0.08365649729967117,
0.020991802215576172,
0.008913170546293259,
0.04930637776851654,
-0.027500169351696968,
0.05772728472948074,
-0.06742653250694275,
0.030409187078475952,
-5.577753015018061e-8,
0.042118340730667114,
0.04801170527935028,
0.0821523368358612,
-0.0005116418469697237,
0.05796767398715019,
0.04984224587678909,
-0.034785740077495575,
0.0707685723900795,
0.0011084661819040775,
-0.012109761126339436,
0.11274708807468414,
0.03460017591714859,
-0.00838613510131836,
-0.05124984309077263,
0.029839085415005684,
0.03001512587070465,
-0.01701248064637184,
-0.10036889463663101,
-0.0540362112224102,
-0.029778610914945602,
0.027142617851495743,
0.0016548997955396771,
-0.004093494266271591,
-0.014775808900594711,
0.009174167178571224,
0.0058821276761591434,
0.007580929435789585,
-0.03181631863117218,
-0.021480418741703033,
-0.020741663873195648,
-0.06828425079584122,
0.051531028002500534,
-0.05169074982404709,
-0.03858189284801483,
-0.017827928066253662,
-0.00103455176576972,
-0.029256615787744522,
0.02271314524114132,
0.007827002555131912,
0.024881945922970772,
-0.008045063354074955,
0.06284551322460175,
-0.05210547521710396,
-0.025043051689863205,
-0.03304755315184593,
0.01833096705377102,
-0.0843699723482132,
-0.07152540236711502,
-0.035106953233480453,
0.029842689633369446,
-0.02518676407635212,
0.05927880108356476,
0.007447998505085707,
0.09194493293762207,
0.004756256937980652,
-0.047648441046476364,
-0.10746334493160248,
-0.008015109226107597,
0.021919559687376022,
-0.004795820452272892,
0.06010828912258148,
0.039336901158094406,
-0.0010382852051407099,
0.0064142486080527306
] | null | null | null | null | null | null | null |
[
-0.023218505084514618,
-0.07740280032157898,
0.014372770674526691,
0.11901286989450455,
0.05685706064105034,
0.04120602086186409,
-0.04478883743286133,
-0.047375693917274475,
0.1020527109503746,
-0.01612544059753418,
0.05377361923456192,
-0.012264660559594631,
0.02136247791349888,
-0.011303448118269444,
-0.02080369181931019,
0.002771264873445034,
0.02105185203254223,
0.007187972776591778,
0.002735384041443467,
0.02262871153652668,
0.046735092997550964,
-0.028640765696763992,
0.018046900629997253,
0.05291171744465828,
-0.05129944905638695,
0.01686032861471176,
-0.03723450005054474,
-0.021604027599096298,
-0.018223047256469727,
-0.03597574681043625,
0.04327283427119255,
0.021240217611193657,
-0.1469598263502121,
0.01882457733154297,
-0.06082228198647499,
0.010205807164311409,
-0.02126128599047661,
0.044093579053878784,
-0.035821910947561264,
-0.02415494993329048,
-0.005111835431307554,
0.03209159895777702,
0.006599291693419218,
-0.017144516110420227,
0.03314085304737091,
0.04417252540588379,
0.0851629301905632,
-0.006635739468038082,
-0.03290155157446861,
-0.009005087427794933,
-0.037001099437475204,
-0.010758841410279274,
0.01623287983238697,
0.009491956792771816,
0.013036224991083145,
-0.010801645927131176,
0.014135385863482952,
0.022244105115532875,
-0.02541610412299633,
-0.048238832503557205,
0.0070358687080442905,
-0.018598048016428947,
-0.011341718956828117,
-0.0005769109702669084,
-0.09093121439218521,
-0.036953069269657135,
0.021198397502303123,
0.05579700320959091,
0.048125628381967545,
0.07408072054386139,
0.026062490418553352,
0.10402417182922363,
-0.05906420946121216,
0.021242473274469376,
0.05985446646809578,
-0.013523702509701252,
-0.042332954704761505,
0.04008205235004425,
-0.030235378071665764,
-0.01935514435172081,
0.06937290728092194,
-0.01835293136537075,
-0.051976192742586136,
-0.007520793471485376,
-0.07281641662120819,
0.052948299795389175,
0.04738476499915123,
-0.02764146775007248,
-0.004037796985358,
-0.05902593582868576,
0.021949833258986473,
0.0216175876557827,
0.02192593738436699,
-0.05341561883687973,
0.15537744760513306,
-0.041791290044784546,
0.08418114483356476,
0.04145604372024536,
0.044939544051885605,
0.00468139722943306,
-0.008450042456388474,
0.00215714774094522,
-0.0030005844309926033,
0.16580267250537872,
0.04963063821196556,
-0.007270789239555597,
0.039333805441856384,
0.0011017994256690145,
0.03870442137122154,
0.09660914540290833,
0.08898689597845078,
-0.017076749354600906,
-0.0019000864122062922,
0.06095883250236511,
0.008559273555874825,
-0.09044397622346878,
-0.011267543770372868,
-0.04285980015993118,
-0.06575693935155869,
0.0975802019238472,
0.02466653846204281,
-0.04598666727542877,
-0.10673495382070541,
-0.013560350053012371,
0.06551697850227356,
0.0030353758484125137,
0.011557976715266705,
8.52636562174292e-34,
0.08970409631729126,
-0.01815057545900345,
-0.02210083045065403,
0.03380540758371353,
0.038857921957969666,
-0.057297371327877045,
0.07024288922548294,
0.019487202167510986,
-0.025920508429408073,
0.000741654250305146,
-0.07684285193681717,
0.035289466381073,
-0.060656122863292694,
0.1229349821805954,
-0.07200327515602112,
-0.09651941061019897,
-0.04088814556598663,
0.00951915793120861,
0.06007283553481102,
-0.04833308979868889,
-0.06497400254011154,
-0.003217496443539858,
-0.0549006350338459,
-0.13638919591903687,
-0.049480970948934555,
0.030355511233210564,
-0.006486605852842331,
0.04651414975523949,
-0.03943852707743645,
0.020621903240680695,
-0.0342055968940258,
0.027485700324177742,
-0.08705957233905792,
0.052150387316942215,
0.022693408653140068,
0.041447218507528305,
-0.0468192957341671,
-0.05607070401310921,
0.0717812106013298,
-0.09015455842018127,
-0.006471695378422737,
0.04426366463303566,
-0.08214869350194931,
0.017988163977861404,
-0.05599034205079079,
-0.01932583749294281,
0.06810206919908524,
-0.003539147088304162,
-0.08510499447584152,
-0.05872052162885666,
0.07903977483510971,
0.010851595550775528,
-0.013806873001158237,
0.0018704721005633473,
0.0385713167488575,
-0.06959519535303116,
0.0577206127345562,
-0.008258414454758167,
-0.08185917139053345,
0.034952230751514435,
-0.0002202829928137362,
0.07883566617965698,
0.0377197228372097,
0.007828166708350182,
0.05186363309621811,
0.04206349700689316,
-0.023665456101298332,
0.08042934536933899,
0.017053790390491486,
-0.009450502693653107,
0.03445329889655113,
-0.004525813739746809,
-0.01829853467643261,
-0.06669285148382187,
0.05519630387425423,
0.054280657321214676,
0.07968658208847046,
-0.021115675568580627,
-0.052341528236866,
0.06970278918743134,
-0.025039007887244225,
-0.15482476353645325,
-0.014749678783118725,
0.0017662792233750224,
-0.04397411644458771,
-0.0451541393995285,
0.06674984842538834,
-0.06746998429298401,
-0.030306501314044,
-0.03508266061544418,
-0.031330354511737823,
-0.04824191331863403,
0.12133965641260147,
0.01743946596980095,
-0.0849248543381691,
-3.926670185970725e-33,
-0.0030652072746306658,
-0.047838274389505386,
-0.02553294412791729,
0.10543835908174515,
0.019536595791578293,
0.0225534625351429,
-0.09457423537969589,
0.019329648464918137,
-0.03994404897093773,
-0.16984717547893524,
-0.007062307558953762,
0.019775941967964172,
-0.034850262105464935,
0.03368174657225609,
0.0705413743853569,
0.013707953505218029,
0.0011695359135046601,
-0.03743131086230278,
0.004017800558358431,
-0.09261766821146011,
-0.07343627512454987,
-0.050481390208005905,
0.04476040229201317,
-0.02069680579006672,
-0.003307655220851302,
-0.0022531941067427397,
0.00577556062489748,
0.0055902195163071156,
-0.0864882618188858,
0.045569371432065964,
-0.01978238858282566,
-0.10128948837518692,
0.01651124097406864,
0.05176659673452377,
-0.04785418510437012,
0.055691953748464584,
0.0006359207909554243,
0.03351866453886032,
0.07522954046726227,
0.020884236320853233,
-0.02588178776204586,
0.009365802630782127,
0.027139045298099518,
-0.0038543783593922853,
0.043948013335466385,
-0.01994687132537365,
-0.016271231696009636,
0.037923093885183334,
0.06441588699817657,
0.06096615269780159,
-0.03218214958906174,
0.04329383745789528,
0.0117756063118577,
0.07015324383974075,
0.026462774723768234,
0.0914163812994957,
0.028735490515828133,
0.025386830791831017,
0.026394521817564964,
-0.05185491964221001,
-0.0693838968873024,
-0.003400444285944104,
-0.05831171199679375,
-0.03491584211587906,
-0.02573244459927082,
-0.05697355791926384,
-0.06418383866548538,
-0.02876191772520542,
0.01210971549153328,
-0.06406569480895996,
0.05399992689490318,
-0.0032304166816174984,
0.03686808422207832,
0.04093028977513313,
0.03761173039674759,
-0.04868463799357414,
0.09227493405342102,
-0.01234575267881155,
-0.09568031132221222,
-0.017994144931435585,
-0.07811799645423889,
0.11053851991891861,
0.06046965345740318,
-0.07125776261091232,
-0.04298512637615204,
0.017807267606258392,
-0.06457389146089554,
-0.08365649729967117,
0.020991802215576172,
0.008913170546293259,
0.04930637776851654,
-0.027500169351696968,
0.05772728472948074,
-0.06742653250694275,
0.030409187078475952,
-5.577753015018061e-8,
0.042118340730667114,
0.04801170527935028,
0.0821523368358612,
-0.0005116418469697237,
0.05796767398715019,
0.04984224587678909,
-0.034785740077495575,
0.0707685723900795,
0.0011084661819040775,
-0.012109761126339436,
0.11274708807468414,
0.03460017591714859,
-0.00838613510131836,
-0.05124984309077263,
0.029839085415005684,
0.03001512587070465,
-0.01701248064637184,
-0.10036889463663101,
-0.0540362112224102,
-0.029778610914945602,
0.027142617851495743,
0.0016548997955396771,
-0.004093494266271591,
-0.014775808900594711,
0.009174167178571224,
0.0058821276761591434,
0.007580929435789585,
-0.03181631863117218,
-0.021480418741703033,
-0.020741663873195648,
-0.06828425079584122,
0.051531028002500534,
-0.05169074982404709,
-0.03858189284801483,
-0.017827928066253662,
-0.00103455176576972,
-0.029256615787744522,
0.02271314524114132,
0.007827002555131912,
0.024881945922970772,
-0.008045063354074955,
0.06284551322460175,
-0.05210547521710396,
-0.025043051689863205,
-0.03304755315184593,
0.01833096705377102,
-0.0843699723482132,
-0.07152540236711502,
-0.035106953233480453,
0.029842689633369446,
-0.02518676407635212,
0.05927880108356476,
0.007447998505085707,
0.09194493293762207,
0.004756256937980652,
-0.047648441046476364,
-0.10746334493160248,
-0.008015109226107597,
0.021919559687376022,
-0.004795820452272892,
0.06010828912258148,
0.039336901158094406,
-0.0010382852051407099,
0.0064142486080527306
] |
1402.2879
|
Robert Heath
|
Robert M. Heath, Michael G. Tanner, Alessandro Casaburi, Mark G.
Webster, Lara San Emeterio Alvarez, Zoe H. Barber, Richard J. Warburton,
Robert H. Hadfield
|
Nano-optical observation of cascade switching in a parallel
superconducting nanowire single photon detector
|
11 pages, 2 figures
|
Appl. Phys. Lett. 104, 063503 (2014)
|
10.1063/1.4865199
| null |
quant-ph cond-mat.supr-con physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The device physics of parallel-wire superconducting nanowire single photon
detectors is based on a cascade process. Using nano-optical techniques and a
parallel wire device with spatially-separate pixels we explicitly demonstrate
the single- and multi-photon triggering regimes. We develop a model for
describing efficiency of a detector operating in the arm-trigger regime. We
investigate the timing response of the detector when illuminating a single
pixel and two pixels. We see a change in the active area of the detector
between the two regimes and find the two-pixel trigger regime to have a faster
timing response than the one-pixel regime.
|
[
{
"created": "Wed, 12 Feb 2014 16:23:36 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Heath",
"Robert M.",
""
],
[
"Tanner",
"Michael G.",
""
],
[
"Casaburi",
"Alessandro",
""
],
[
"Webster",
"Mark G.",
""
],
[
"Alvarez",
"Lara San Emeterio",
""
],
[
"Barber",
"Zoe H.",
""
],
[
"Warburton",
"Richard J.",
""
],
[
"Hadfield",
"Robert H.",
""
]
] |
[
0.035134024918079376,
-0.044538822025060654,
0.010189107619225979,
0.07305122911930084,
0.057191021740436554,
-0.028110137209296227,
-0.00023062557738739997,
-0.03994611278176308,
0.014604274183511734,
0.016692092642188072,
0.08189989626407623,
-0.03536741062998772,
-0.0026836013421416283,
-0.013976827263832092,
0.0073190126568078995,
0.06671088933944702,
-0.02433495968580246,
0.007308018859475851,
0.026377541944384575,
-0.07235771417617798,
0.059036288410425186,
-0.14362218976020813,
0.0540458969771862,
0.0030400040559470654,
-0.07539824396371841,
-0.06802445650100708,
-0.02308710664510727,
-0.05737578123807907,
-0.04127919673919678,
0.007322342600673437,
-0.010355526581406593,
-0.019828954711556435,
-0.03094903752207756,
0.04235496744513512,
-0.022621864452958107,
-0.038527172058820724,
0.11656255275011063,
-0.033621132373809814,
0.01774098351597786,
0.00225254544056952,
0.020247241482138634,
0.03314940258860588,
0.027040880173444748,
-0.05523926392197609,
0.010013971477746964,
0.04107163846492767,
0.04909076169133186,
0.043177347630262375,
-0.039906058460474014,
-0.0745018795132637,
0.07991378754377365,
0.01632310263812542,
0.001183901447802782,
0.010807721875607967,
0.12240200489759445,
0.06742975115776062,
0.018717622384428978,
-0.03483215719461441,
-0.013184886425733566,
0.021397219970822334,
-0.02716580033302307,
-0.06329819560050964,
-0.03834562376141548,
-0.004299841821193695,
0.148760125041008,
0.007910695858299732,
-0.009951776824891567,
-0.0420350544154644,
0.02911844477057457,
0.0065629854798316956,
0.08080349862575531,
0.0016407121438533068,
0.0034948757383972406,
0.05660644918680191,
0.0407547801733017,
-0.016372906044125557,
0.03211725130677223,
0.1635323464870453,
0.0015569367678835988,
-0.05441669002175331,
-0.003791543422266841,
0.005414063110947609,
0.011238920502364635,
-0.024211987853050232,
0.01499558612704277,
-0.009790775366127491,
0.012066956609487534,
0.0782449021935463,
-0.03356993570923805,
-0.03055012784898281,
-0.0059529566206038,
-0.0641917809844017,
-0.07362950593233109,
-0.04581688344478607,
-0.04932120069861412,
-0.040026068687438965,
0.0202618595212698,
-0.01366177387535572,
-0.016905706375837326,
-0.07702532410621643,
0.09520288556814194,
-0.1160801351070404,
-0.024673480540513992,
0.054663434624671936,
0.05699549987912178,
0.018166977912187576,
-0.0033744059037417173,
0.0654166117310524,
-0.01861470192670822,
0.021877549588680267,
0.019799983128905296,
0.01681884378194809,
-0.002293533179908991,
-0.019523926079273224,
-0.04342816025018692,
0.0390191376209259,
-0.026652488857507706,
0.09601248055696487,
-0.037090882658958435,
0.02017589844763279,
-0.08430012315511703,
0.041840553283691406,
-0.03179257735610008,
-0.04994792118668556,
-0.00232310825958848,
0.04164518043398857,
-0.0175943523645401,
-2.7318780749987744e-33,
0.0318964421749115,
0.07734733074903488,
-0.04263412579894066,
-0.037536364048719406,
0.017150521278381348,
-0.02099950611591339,
0.09349294006824493,
0.0656304806470871,
-0.051603253930807114,
0.04510181397199631,
0.038985688239336014,
-0.04464108496904373,
-0.033710017800331116,
0.07593963295221329,
-0.0027354396879673004,
-0.022559328004717827,
0.02623223140835762,
-0.10303501784801483,
0.08416355401277542,
0.07329963147640228,
0.013530449010431767,
-0.03753011301159859,
-0.050086747854948044,
0.06593111157417297,
-0.019292691722512245,
-0.07503286004066467,
-0.015111500397324562,
0.09511920809745789,
-0.008781952783465385,
-0.020793836563825607,
-0.039882808923721313,
0.10610216110944748,
0.03173525631427765,
0.006130679976195097,
0.0012413390213623643,
-0.10871826112270355,
0.07791588455438614,
0.023579776287078857,
0.008599354885518551,
0.012222830206155777,
0.0038981004618108273,
0.03840482980012894,
0.09267813712358475,
-0.07292021811008453,
-0.029607638716697693,
-0.029145050793886185,
-0.1147511750459671,
-0.011043568141758442,
-0.04939071834087372,
0.06900102645158768,
0.017796818166971207,
-0.08872684836387634,
0.07060885429382324,
-0.019893955439329147,
0.09483224898576736,
-0.02028496563434601,
-0.06147418171167374,
-0.04776466265320778,
0.06240076944231987,
0.02621416747570038,
0.01630351133644581,
-0.04638631269335747,
-0.0316794328391552,
0.04835893586277962,
-0.09676734358072281,
0.028750786557793617,
0.01681002415716648,
0.037028755992650986,
-0.02401975728571415,
-0.0063577620312571526,
-0.032732751220464706,
0.09386234730482101,
0.01839744858443737,
-0.15680858492851257,
0.0036460200790315866,
0.02208148129284382,
0.020804202184081078,
-0.041366130113601685,
0.06291408091783524,
0.04019312933087349,
-0.07470724731683731,
-0.021552221849560738,
0.018922943621873856,
0.05273070186376572,
-0.008420460857450962,
0.05708891153335571,
-0.06699299812316895,
-0.10126907378435135,
-0.09671228379011154,
0.044962819665670395,
0.06755299121141434,
-0.04909579083323479,
0.03699100390076637,
-0.043688416481018066,
-0.060858771204948425,
1.6443312727691334e-33,
0.07954168319702148,
-0.03321932256221771,
0.01947643607854843,
0.026027174666523933,
0.060308631509542465,
0.018495365977287292,
-0.012885989621281624,
-0.02164290100336075,
0.009278676472604275,
0.024817530065774918,
0.017173446714878082,
0.0565878301858902,
-0.05635308474302292,
0.03799927979707718,
-0.004630336072295904,
0.034627221524715424,
0.05264207348227501,
-0.03964168205857277,
0.10544703900814056,
0.026715293526649475,
0.03964501991868019,
0.012732133269309998,
-0.03383966162800789,
-0.08849749714136124,
0.04663458094000816,
0.0009339003008790314,
0.028667563572525978,
0.039998609572649,
-0.03155510500073433,
-0.07538819313049316,
-0.02042888104915619,
-0.0030996135901659727,
0.028038568794727325,
0.020202741026878357,
0.02006700448691845,
-0.014067773707211018,
0.06639087945222855,
-0.06666777282953262,
0.06742967665195465,
0.0038108103908598423,
0.02977403812110424,
0.010036690160632133,
-0.0761789008975029,
0.004342967178672552,
0.030263163149356842,
0.047353919595479965,
-0.07553226500749588,
-0.02928966097533703,
-0.07045145332813263,
0.07197434455156326,
-0.14810588955879211,
0.06145023927092552,
-0.09299682080745697,
0.06114031374454498,
-0.004363590851426125,
-0.08011309802532196,
-0.03931538388133049,
0.06814438104629517,
0.02323511801660061,
0.08784187585115433,
-0.0024019423872232437,
-0.008569691330194473,
-0.05807679519057274,
0.021225949749350548,
0.06607827544212341,
0.010883302427828312,
0.015319601632654667,
-0.031631242483854294,
0.05527624860405922,
0.028102481737732887,
0.09919614344835281,
0.012115859426558018,
-0.010148093104362488,
-0.04446815326809883,
-0.02975989505648613,
0.05299024283885956,
-0.038934044539928436,
-0.04508465901017189,
-0.0025323741137981415,
0.022988643497228622,
-0.035040128976106644,
0.03528347611427307,
-0.024642501026391983,
0.006145678460597992,
-0.0572783499956131,
0.07778191566467285,
0.04041563346982002,
0.08293388038873672,
0.006627681665122509,
-0.0013835165882483125,
-0.04165137559175491,
-0.033253781497478485,
0.09919910132884979,
-0.07880555093288422,
0.0033452576026320457,
-3.826457017908069e-8,
0.03978386148810387,
0.021600190550088882,
-0.06419835984706879,
-0.06168562173843384,
0.06626112759113312,
-0.017713813111186028,
-0.040439385920763016,
0.028370868414640427,
0.010877255350351334,
-0.03490201383829117,
0.044853322207927704,
-0.021316247060894966,
-0.0045705693773925304,
-0.0038467461708933115,
0.06101034954190254,
0.011327900923788548,
-0.05393729358911514,
-0.08744499832391739,
-0.03244112432003021,
-0.006375568453222513,
-0.09257375448942184,
0.0549657940864563,
0.03473380208015442,
-0.034530654549598694,
-0.03963106498122215,
-0.0259761493653059,
0.03410458192229271,
0.06530717015266418,
0.0038048289716243744,
-0.09821116179227829,
-0.08427821844816208,
-0.04909908026456833,
-0.05519722402095795,
0.03432954475283623,
0.016179634258151054,
-0.03775974363088608,
-0.048856958746910095,
0.014520473778247833,
0.1474699079990387,
-0.03399991616606712,
-0.015016598626971245,
-0.050733599811792374,
-0.02365661785006523,
0.030318085104227066,
-0.023735981434583664,
0.0036506045144051313,
0.051432229578495026,
0.023720689117908478,
-0.026806198060512543,
0.08422758430242538,
-0.05939184129238129,
0.041440699249506,
-0.03231453150510788,
-0.004300411324948072,
0.003506437409669161,
0.02291417494416237,
0.06081303581595421,
-0.028057405725121498,
-0.02374659851193428,
0.05351909250020981,
-0.014271717518568039,
-0.032362598925828934,
-0.055767953395843506,
-0.0007699441630393267
] | null | null | null | null | null | null | null |
[
0.035134024918079376,
-0.044538822025060654,
0.010189107619225979,
0.07305122911930084,
0.057191021740436554,
-0.028110137209296227,
-0.00023062557738739997,
-0.03994611278176308,
0.014604274183511734,
0.016692092642188072,
0.08189989626407623,
-0.03536741062998772,
-0.0026836013421416283,
-0.013976827263832092,
0.0073190126568078995,
0.06671088933944702,
-0.02433495968580246,
0.007308018859475851,
0.026377541944384575,
-0.07235771417617798,
0.059036288410425186,
-0.14362218976020813,
0.0540458969771862,
0.0030400040559470654,
-0.07539824396371841,
-0.06802445650100708,
-0.02308710664510727,
-0.05737578123807907,
-0.04127919673919678,
0.007322342600673437,
-0.010355526581406593,
-0.019828954711556435,
-0.03094903752207756,
0.04235496744513512,
-0.022621864452958107,
-0.038527172058820724,
0.11656255275011063,
-0.033621132373809814,
0.01774098351597786,
0.00225254544056952,
0.020247241482138634,
0.03314940258860588,
0.027040880173444748,
-0.05523926392197609,
0.010013971477746964,
0.04107163846492767,
0.04909076169133186,
0.043177347630262375,
-0.039906058460474014,
-0.0745018795132637,
0.07991378754377365,
0.01632310263812542,
0.001183901447802782,
0.010807721875607967,
0.12240200489759445,
0.06742975115776062,
0.018717622384428978,
-0.03483215719461441,
-0.013184886425733566,
0.021397219970822334,
-0.02716580033302307,
-0.06329819560050964,
-0.03834562376141548,
-0.004299841821193695,
0.148760125041008,
0.007910695858299732,
-0.009951776824891567,
-0.0420350544154644,
0.02911844477057457,
0.0065629854798316956,
0.08080349862575531,
0.0016407121438533068,
0.0034948757383972406,
0.05660644918680191,
0.0407547801733017,
-0.016372906044125557,
0.03211725130677223,
0.1635323464870453,
0.0015569367678835988,
-0.05441669002175331,
-0.003791543422266841,
0.005414063110947609,
0.011238920502364635,
-0.024211987853050232,
0.01499558612704277,
-0.009790775366127491,
0.012066956609487534,
0.0782449021935463,
-0.03356993570923805,
-0.03055012784898281,
-0.0059529566206038,
-0.0641917809844017,
-0.07362950593233109,
-0.04581688344478607,
-0.04932120069861412,
-0.040026068687438965,
0.0202618595212698,
-0.01366177387535572,
-0.016905706375837326,
-0.07702532410621643,
0.09520288556814194,
-0.1160801351070404,
-0.024673480540513992,
0.054663434624671936,
0.05699549987912178,
0.018166977912187576,
-0.0033744059037417173,
0.0654166117310524,
-0.01861470192670822,
0.021877549588680267,
0.019799983128905296,
0.01681884378194809,
-0.002293533179908991,
-0.019523926079273224,
-0.04342816025018692,
0.0390191376209259,
-0.026652488857507706,
0.09601248055696487,
-0.037090882658958435,
0.02017589844763279,
-0.08430012315511703,
0.041840553283691406,
-0.03179257735610008,
-0.04994792118668556,
-0.00232310825958848,
0.04164518043398857,
-0.0175943523645401,
-2.7318780749987744e-33,
0.0318964421749115,
0.07734733074903488,
-0.04263412579894066,
-0.037536364048719406,
0.017150521278381348,
-0.02099950611591339,
0.09349294006824493,
0.0656304806470871,
-0.051603253930807114,
0.04510181397199631,
0.038985688239336014,
-0.04464108496904373,
-0.033710017800331116,
0.07593963295221329,
-0.0027354396879673004,
-0.022559328004717827,
0.02623223140835762,
-0.10303501784801483,
0.08416355401277542,
0.07329963147640228,
0.013530449010431767,
-0.03753011301159859,
-0.050086747854948044,
0.06593111157417297,
-0.019292691722512245,
-0.07503286004066467,
-0.015111500397324562,
0.09511920809745789,
-0.008781952783465385,
-0.020793836563825607,
-0.039882808923721313,
0.10610216110944748,
0.03173525631427765,
0.006130679976195097,
0.0012413390213623643,
-0.10871826112270355,
0.07791588455438614,
0.023579776287078857,
0.008599354885518551,
0.012222830206155777,
0.0038981004618108273,
0.03840482980012894,
0.09267813712358475,
-0.07292021811008453,
-0.029607638716697693,
-0.029145050793886185,
-0.1147511750459671,
-0.011043568141758442,
-0.04939071834087372,
0.06900102645158768,
0.017796818166971207,
-0.08872684836387634,
0.07060885429382324,
-0.019893955439329147,
0.09483224898576736,
-0.02028496563434601,
-0.06147418171167374,
-0.04776466265320778,
0.06240076944231987,
0.02621416747570038,
0.01630351133644581,
-0.04638631269335747,
-0.0316794328391552,
0.04835893586277962,
-0.09676734358072281,
0.028750786557793617,
0.01681002415716648,
0.037028755992650986,
-0.02401975728571415,
-0.0063577620312571526,
-0.032732751220464706,
0.09386234730482101,
0.01839744858443737,
-0.15680858492851257,
0.0036460200790315866,
0.02208148129284382,
0.020804202184081078,
-0.041366130113601685,
0.06291408091783524,
0.04019312933087349,
-0.07470724731683731,
-0.021552221849560738,
0.018922943621873856,
0.05273070186376572,
-0.008420460857450962,
0.05708891153335571,
-0.06699299812316895,
-0.10126907378435135,
-0.09671228379011154,
0.044962819665670395,
0.06755299121141434,
-0.04909579083323479,
0.03699100390076637,
-0.043688416481018066,
-0.060858771204948425,
1.6443312727691334e-33,
0.07954168319702148,
-0.03321932256221771,
0.01947643607854843,
0.026027174666523933,
0.060308631509542465,
0.018495365977287292,
-0.012885989621281624,
-0.02164290100336075,
0.009278676472604275,
0.024817530065774918,
0.017173446714878082,
0.0565878301858902,
-0.05635308474302292,
0.03799927979707718,
-0.004630336072295904,
0.034627221524715424,
0.05264207348227501,
-0.03964168205857277,
0.10544703900814056,
0.026715293526649475,
0.03964501991868019,
0.012732133269309998,
-0.03383966162800789,
-0.08849749714136124,
0.04663458094000816,
0.0009339003008790314,
0.028667563572525978,
0.039998609572649,
-0.03155510500073433,
-0.07538819313049316,
-0.02042888104915619,
-0.0030996135901659727,
0.028038568794727325,
0.020202741026878357,
0.02006700448691845,
-0.014067773707211018,
0.06639087945222855,
-0.06666777282953262,
0.06742967665195465,
0.0038108103908598423,
0.02977403812110424,
0.010036690160632133,
-0.0761789008975029,
0.004342967178672552,
0.030263163149356842,
0.047353919595479965,
-0.07553226500749588,
-0.02928966097533703,
-0.07045145332813263,
0.07197434455156326,
-0.14810588955879211,
0.06145023927092552,
-0.09299682080745697,
0.06114031374454498,
-0.004363590851426125,
-0.08011309802532196,
-0.03931538388133049,
0.06814438104629517,
0.02323511801660061,
0.08784187585115433,
-0.0024019423872232437,
-0.008569691330194473,
-0.05807679519057274,
0.021225949749350548,
0.06607827544212341,
0.010883302427828312,
0.015319601632654667,
-0.031631242483854294,
0.05527624860405922,
0.028102481737732887,
0.09919614344835281,
0.012115859426558018,
-0.010148093104362488,
-0.04446815326809883,
-0.02975989505648613,
0.05299024283885956,
-0.038934044539928436,
-0.04508465901017189,
-0.0025323741137981415,
0.022988643497228622,
-0.035040128976106644,
0.03528347611427307,
-0.024642501026391983,
0.006145678460597992,
-0.0572783499956131,
0.07778191566467285,
0.04041563346982002,
0.08293388038873672,
0.006627681665122509,
-0.0013835165882483125,
-0.04165137559175491,
-0.033253781497478485,
0.09919910132884979,
-0.07880555093288422,
0.0033452576026320457,
-3.826457017908069e-8,
0.03978386148810387,
0.021600190550088882,
-0.06419835984706879,
-0.06168562173843384,
0.06626112759113312,
-0.017713813111186028,
-0.040439385920763016,
0.028370868414640427,
0.010877255350351334,
-0.03490201383829117,
0.044853322207927704,
-0.021316247060894966,
-0.0045705693773925304,
-0.0038467461708933115,
0.06101034954190254,
0.011327900923788548,
-0.05393729358911514,
-0.08744499832391739,
-0.03244112432003021,
-0.006375568453222513,
-0.09257375448942184,
0.0549657940864563,
0.03473380208015442,
-0.034530654549598694,
-0.03963106498122215,
-0.0259761493653059,
0.03410458192229271,
0.06530717015266418,
0.0038048289716243744,
-0.09821116179227829,
-0.08427821844816208,
-0.04909908026456833,
-0.05519722402095795,
0.03432954475283623,
0.016179634258151054,
-0.03775974363088608,
-0.048856958746910095,
0.014520473778247833,
0.1474699079990387,
-0.03399991616606712,
-0.015016598626971245,
-0.050733599811792374,
-0.02365661785006523,
0.030318085104227066,
-0.023735981434583664,
0.0036506045144051313,
0.051432229578495026,
0.023720689117908478,
-0.026806198060512543,
0.08422758430242538,
-0.05939184129238129,
0.041440699249506,
-0.03231453150510788,
-0.004300411324948072,
0.003506437409669161,
0.02291417494416237,
0.06081303581595421,
-0.028057405725121498,
-0.02374659851193428,
0.05351909250020981,
-0.014271717518568039,
-0.032362598925828934,
-0.055767953395843506,
-0.0007699441630393267
] |
1402.2880
|
Anthony Scemama
|
Anthony Scemama, Nicolas Renon and Mathias Rapacioli
|
A Sparse SCF algorithm and its parallel implementation: Application to
DFTB
|
13 pages, 11 figures
|
J. Chem. Theory Comput., 2014, 10 (6), 2344-2354
|
10.1021/ct500115v
| null |
physics.chem-ph cs.DC physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an algorithm and its parallel implementation for solving a self
consistent problem as encountered in Hartree Fock or Density Functional Theory.
The algorithm takes advantage of the sparsity of matrices through the use of
local molecular orbitals. The implementation allows to exploit efficiently
modern symmetric multiprocessing (SMP) computer architectures. As a first
application, the algorithm is used within the density functional based tight
binding method, for which most of the computational time is spent in the linear
algebra routines (diagonalization of the Fock/Kohn-Sham matrix). We show that
with this algorithm (i) single point calculations on very large systems
(millions of atoms) can be performed on large SMP machines (ii) calculations
involving intermediate size systems (1~000--100~000 atoms) are also strongly
accelerated and can run efficiently on standard servers (iii) the error on the
total energy due to the use of a cut-off in the molecular orbital coefficients
can be controlled such that it remains smaller than the SCF convergence
criterion.
|
[
{
"created": "Wed, 12 Feb 2014 16:27:00 GMT",
"version": "v1"
}
] |
2016-07-25
|
[
[
"Scemama",
"Anthony",
""
],
[
"Renon",
"Nicolas",
""
],
[
"Rapacioli",
"Mathias",
""
]
] |
[
-0.04744694009423256,
0.012694873847067356,
-0.05361602082848549,
0.008438603021204472,
-0.028145307675004005,
-0.0894988626241684,
-0.017549041658639908,
0.01991760917007923,
-0.000592550786677748,
-0.015500275418162346,
-0.03902299702167511,
0.03302604705095291,
-0.060448162257671356,
-0.0011454344494268298,
0.014164119027554989,
-0.01746426150202751,
0.006107341963797808,
0.03320762887597084,
-0.0034169501159340143,
-0.01909000799059868,
-0.08326268196105957,
-0.011569278314709663,
-0.026982128620147705,
0.0007474676240235567,
0.014136097393929958,
0.0005105402669869363,
0.033015187829732895,
-0.007285722531378269,
-0.03179365023970604,
-0.012391521595418453,
0.0670044794678688,
0.0010101943043991923,
-0.025385407730937004,
0.003009872743859887,
-0.020214051008224487,
0.035324230790138245,
-0.03065286949276924,
0.0021780061069875956,
-0.02662467397749424,
-0.03545622527599335,
0.022483449429273605,
0.05517081171274185,
0.008883453905582428,
0.049288440495729446,
-0.007088500075042248,
-0.026091355830430984,
0.03903250768780708,
-0.04429217800498009,
0.01824251189827919,
-0.08181004226207733,
-0.013933811336755753,
0.04650822654366493,
-0.0120732132345438,
0.014320872724056244,
0.004337735939770937,
-0.06214827299118042,
0.03889874741435051,
-0.0710955411195755,
-0.028602417558431625,
-0.041614316403865814,
0.0018560292664915323,
-0.06727001070976257,
-0.02131759189069271,
0.0437307171523571,
0.07521125674247742,
0.07269475609064102,
0.09860122203826904,
-0.049545709043741226,
0.0010906036477535963,
0.08691997081041336,
-0.08391984552145004,
-0.011681667529046535,
-0.016115300357341766,
0.048076748847961426,
0.05219157785177231,
0.024944156408309937,
-0.018730612471699715,
0.021077141165733337,
0.06123368442058563,
-0.03616627678275108,
-0.04142449051141739,
-0.009447597898542881,
-0.036294639110565186,
-0.022021066397428513,
0.08824579417705536,
-0.014958836138248444,
-0.1116185411810875,
0.00426130648702383,
0.014617388136684895,
-0.06891016662120819,
0.024266095831990242,
0.013742977753281593,
-0.024325232952833176,
-0.057558558881282806,
-0.019065776839852333,
0.005938500631600618,
0.06711822748184204,
0.011951266787946224,
-0.018816636875271797,
0.06414781510829926,
0.06982119381427765,
0.08105422556400299,
0.05740868300199509,
-0.0612453855574131,
-0.04585294425487518,
0.06865887343883514,
-0.00846489705145359,
0.08425416052341461,
-0.06778711080551147,
-0.02022368647158146,
0.018098758533596992,
-0.006276481319218874,
0.04691223427653313,
0.037813082337379456,
0.011319129727780819,
0.034388717263936996,
0.01669980026781559,
-0.0017041268292814493,
0.08667665719985962,
0.08065805584192276,
-0.10102200508117676,
-0.04009253904223442,
0.051854148507118225,
0.06961173564195633,
-0.028638051822781563,
0.030200090259313583,
-0.1616239994764328,
1.7456028661573582e-33,
-0.0012975611025467515,
0.07171814143657684,
0.06724073737859726,
-0.013227629475295544,
-0.020431721583008766,
-0.06899908930063248,
0.021151909604668617,
-0.02484532818198204,
-0.10266052931547165,
0.09676221758127213,
0.03977077454328537,
-0.0010043899528682232,
0.075388602912426,
-0.06623387336730957,
0.025146279484033585,
-0.01016282755881548,
0.05395108088850975,
0.0424211360514164,
0.02193921059370041,
-0.04397339001297951,
0.07997706532478333,
-0.002846682909876108,
-0.003133579855784774,
-0.01589241437613964,
0.006180199328809977,
0.06057894229888916,
0.07098939269781113,
-0.04480946063995361,
-0.0484749861061573,
0.049064405262470245,
-0.009063191711902618,
0.07817923277616501,
-0.03697151318192482,
0.02396547421813011,
0.05282726138830185,
-0.05460157245397568,
0.01089016068726778,
-0.10133638978004456,
0.04321812093257904,
-0.1380693018436432,
-0.022764243185520172,
0.0037541971541941166,
0.02134307287633419,
-0.016080455854535103,
-0.12597031891345978,
0.017337169498205185,
-0.0004168780578766018,
0.036482781171798706,
0.02256588265299797,
-0.043669991195201874,
0.04969560727477074,
0.015604458749294281,
-0.012849641032516956,
0.03704845905303955,
0.037976279854774475,
-0.03588666766881943,
0.013408275321125984,
-0.015676049515604973,
0.12298975139856339,
0.14546796679496765,
-0.031110458076000214,
0.003249834291636944,
-0.07692693918943405,
-0.002732191700488329,
0.001506888773292303,
0.03327467665076256,
-0.05242594704031944,
-0.00681855296716094,
0.0572136826813221,
0.08205615729093552,
0.04426999017596245,
0.03562561795115471,
0.11342319846153259,
-0.09484230726957321,
0.10114891827106476,
-0.023139704018831253,
0.027828482910990715,
-0.153761088848114,
-0.06486832350492477,
0.02885708585381508,
0.013445314951241016,
0.08960147947072983,
-0.05251079425215721,
-0.028956321999430656,
-0.045302387326955795,
-0.18284326791763306,
-0.08872078359127045,
0.016364436596632004,
-0.02119600400328636,
-0.0713207870721817,
0.01813526451587677,
-0.09237387776374817,
0.07288642227649689,
-0.037748854607343674,
-0.1043168231844902,
-2.4927329328735958e-33,
-0.04563188552856445,
-0.07235919684171677,
0.010201509110629559,
0.06479712575674057,
0.07490240037441254,
-0.04962201789021492,
-0.03576287254691124,
-0.08620051294565201,
0.046477727591991425,
-0.06423632055521011,
0.003358179470524192,
-0.024215582758188248,
-0.003758212085813284,
-0.003655380103737116,
0.05235663428902626,
0.011723780073225498,
0.002443617209792137,
0.00497223949059844,
0.08655372262001038,
0.02495732344686985,
-0.02473457157611847,
-0.01245442871004343,
0.06288886815309525,
0.0616353340446949,
0.0021802859846502542,
0.020968666300177574,
-0.04759705811738968,
0.021064825356006622,
0.02830870822072029,
0.0619143508374691,
-0.010873915627598763,
0.05093574523925781,
-0.041372042149305344,
0.03188258036971092,
-0.10048502683639526,
0.03446582332253456,
-0.025451941415667534,
0.08646778762340546,
0.04557476565241814,
-0.009177261963486671,
0.044835414737463,
-0.016317080706357956,
-0.05199717730283737,
-0.022241564467549324,
0.0658818930387497,
0.03358529880642891,
-0.07248459756374359,
0.04328770190477371,
-0.0028753457590937614,
0.011426709592342377,
-0.03242715448141098,
-0.02420252002775669,
-0.0075680892914533615,
0.008916798047721386,
0.01082253735512495,
0.10971679538488388,
-0.021387526765465736,
0.03359600156545639,
0.059698574244976044,
-0.030186612159013748,
-0.062277574092149734,
-0.09417974203824997,
0.0854717493057251,
0.06185700371861458,
-0.019826028496026993,
-0.0446489155292511,
-0.03523525223135948,
-0.0077655138447880745,
0.020370634272694588,
0.04180615395307541,
-0.10448449850082397,
0.007069178856909275,
0.03704260662198067,
0.0924261286854744,
0.03012152388691902,
0.011189165525138378,
0.08937054872512817,
-0.07095117121934891,
-0.013612983748316765,
0.0708194449543953,
-0.012363871559500694,
0.02579789236187935,
-0.02406829595565796,
-0.011770721524953842,
-0.01240561343729496,
0.00034142209915444255,
0.026764456182718277,
0.005394763313233852,
-0.011738822795450687,
-0.15115369856357574,
0.008841296657919884,
0.05759391188621521,
0.05036867409944534,
-0.010188247077167034,
-0.0032302970066666603,
-4.479005966118166e-8,
0.057189445942640305,
-0.05727621167898178,
0.02503686212003231,
0.03602032735943794,
0.05133240669965744,
0.023879602551460266,
0.011989327147603035,
-0.013079382479190826,
0.020750338211655617,
-0.030058911070227623,
0.04474642500281334,
-0.07375118136405945,
0.013098930940032005,
-0.05941571295261383,
-0.0008467862498946488,
0.02289772406220436,
0.0190794188529253,
-0.02082609198987484,
-0.06718157976865768,
-0.03908507153391838,
0.011672832071781158,
0.04790804907679558,
0.04443657025694847,
-0.0025537479668855667,
-0.032838113605976105,
-0.04440488666296005,
-0.06435908377170563,
-0.039019037038087845,
0.028128555044531822,
0.011657338589429855,
-0.07120019942522049,
-0.03319103270769119,
0.024006616324186325,
0.09827805310487747,
0.047166116535663605,
0.001561470446176827,
0.04045078158378601,
0.04419448599219322,
-0.004536906722933054,
0.018811771646142006,
-0.013388391584157944,
0.034860916435718536,
0.012701796367764473,
0.04340579733252525,
0.051762450486421585,
0.06664443016052246,
-0.051640596240758896,
0.05726511403918266,
-0.02156609110534191,
0.015822315588593483,
-0.02370598539710045,
0.07402265071868896,
-0.09437868744134903,
0.0025745483580976725,
-0.03089975193142891,
-0.02074366621673107,
-0.11570806056261063,
-0.06309013813734055,
0.042486436665058136,
0.023527666926383972,
-0.010277886874973774,
-0.049042489379644394,
-0.06562646478414536,
-0.019756808876991272
] | null | null | null | null | null | null | null |
[
-0.04744694009423256,
0.012694873847067356,
-0.05361602082848549,
0.008438603021204472,
-0.028145307675004005,
-0.0894988626241684,
-0.017549041658639908,
0.01991760917007923,
-0.000592550786677748,
-0.015500275418162346,
-0.03902299702167511,
0.03302604705095291,
-0.060448162257671356,
-0.0011454344494268298,
0.014164119027554989,
-0.01746426150202751,
0.006107341963797808,
0.03320762887597084,
-0.0034169501159340143,
-0.01909000799059868,
-0.08326268196105957,
-0.011569278314709663,
-0.026982128620147705,
0.0007474676240235567,
0.014136097393929958,
0.0005105402669869363,
0.033015187829732895,
-0.007285722531378269,
-0.03179365023970604,
-0.012391521595418453,
0.0670044794678688,
0.0010101943043991923,
-0.025385407730937004,
0.003009872743859887,
-0.020214051008224487,
0.035324230790138245,
-0.03065286949276924,
0.0021780061069875956,
-0.02662467397749424,
-0.03545622527599335,
0.022483449429273605,
0.05517081171274185,
0.008883453905582428,
0.049288440495729446,
-0.007088500075042248,
-0.026091355830430984,
0.03903250768780708,
-0.04429217800498009,
0.01824251189827919,
-0.08181004226207733,
-0.013933811336755753,
0.04650822654366493,
-0.0120732132345438,
0.014320872724056244,
0.004337735939770937,
-0.06214827299118042,
0.03889874741435051,
-0.0710955411195755,
-0.028602417558431625,
-0.041614316403865814,
0.0018560292664915323,
-0.06727001070976257,
-0.02131759189069271,
0.0437307171523571,
0.07521125674247742,
0.07269475609064102,
0.09860122203826904,
-0.049545709043741226,
0.0010906036477535963,
0.08691997081041336,
-0.08391984552145004,
-0.011681667529046535,
-0.016115300357341766,
0.048076748847961426,
0.05219157785177231,
0.024944156408309937,
-0.018730612471699715,
0.021077141165733337,
0.06123368442058563,
-0.03616627678275108,
-0.04142449051141739,
-0.009447597898542881,
-0.036294639110565186,
-0.022021066397428513,
0.08824579417705536,
-0.014958836138248444,
-0.1116185411810875,
0.00426130648702383,
0.014617388136684895,
-0.06891016662120819,
0.024266095831990242,
0.013742977753281593,
-0.024325232952833176,
-0.057558558881282806,
-0.019065776839852333,
0.005938500631600618,
0.06711822748184204,
0.011951266787946224,
-0.018816636875271797,
0.06414781510829926,
0.06982119381427765,
0.08105422556400299,
0.05740868300199509,
-0.0612453855574131,
-0.04585294425487518,
0.06865887343883514,
-0.00846489705145359,
0.08425416052341461,
-0.06778711080551147,
-0.02022368647158146,
0.018098758533596992,
-0.006276481319218874,
0.04691223427653313,
0.037813082337379456,
0.011319129727780819,
0.034388717263936996,
0.01669980026781559,
-0.0017041268292814493,
0.08667665719985962,
0.08065805584192276,
-0.10102200508117676,
-0.04009253904223442,
0.051854148507118225,
0.06961173564195633,
-0.028638051822781563,
0.030200090259313583,
-0.1616239994764328,
1.7456028661573582e-33,
-0.0012975611025467515,
0.07171814143657684,
0.06724073737859726,
-0.013227629475295544,
-0.020431721583008766,
-0.06899908930063248,
0.021151909604668617,
-0.02484532818198204,
-0.10266052931547165,
0.09676221758127213,
0.03977077454328537,
-0.0010043899528682232,
0.075388602912426,
-0.06623387336730957,
0.025146279484033585,
-0.01016282755881548,
0.05395108088850975,
0.0424211360514164,
0.02193921059370041,
-0.04397339001297951,
0.07997706532478333,
-0.002846682909876108,
-0.003133579855784774,
-0.01589241437613964,
0.006180199328809977,
0.06057894229888916,
0.07098939269781113,
-0.04480946063995361,
-0.0484749861061573,
0.049064405262470245,
-0.009063191711902618,
0.07817923277616501,
-0.03697151318192482,
0.02396547421813011,
0.05282726138830185,
-0.05460157245397568,
0.01089016068726778,
-0.10133638978004456,
0.04321812093257904,
-0.1380693018436432,
-0.022764243185520172,
0.0037541971541941166,
0.02134307287633419,
-0.016080455854535103,
-0.12597031891345978,
0.017337169498205185,
-0.0004168780578766018,
0.036482781171798706,
0.02256588265299797,
-0.043669991195201874,
0.04969560727477074,
0.015604458749294281,
-0.012849641032516956,
0.03704845905303955,
0.037976279854774475,
-0.03588666766881943,
0.013408275321125984,
-0.015676049515604973,
0.12298975139856339,
0.14546796679496765,
-0.031110458076000214,
0.003249834291636944,
-0.07692693918943405,
-0.002732191700488329,
0.001506888773292303,
0.03327467665076256,
-0.05242594704031944,
-0.00681855296716094,
0.0572136826813221,
0.08205615729093552,
0.04426999017596245,
0.03562561795115471,
0.11342319846153259,
-0.09484230726957321,
0.10114891827106476,
-0.023139704018831253,
0.027828482910990715,
-0.153761088848114,
-0.06486832350492477,
0.02885708585381508,
0.013445314951241016,
0.08960147947072983,
-0.05251079425215721,
-0.028956321999430656,
-0.045302387326955795,
-0.18284326791763306,
-0.08872078359127045,
0.016364436596632004,
-0.02119600400328636,
-0.0713207870721817,
0.01813526451587677,
-0.09237387776374817,
0.07288642227649689,
-0.037748854607343674,
-0.1043168231844902,
-2.4927329328735958e-33,
-0.04563188552856445,
-0.07235919684171677,
0.010201509110629559,
0.06479712575674057,
0.07490240037441254,
-0.04962201789021492,
-0.03576287254691124,
-0.08620051294565201,
0.046477727591991425,
-0.06423632055521011,
0.003358179470524192,
-0.024215582758188248,
-0.003758212085813284,
-0.003655380103737116,
0.05235663428902626,
0.011723780073225498,
0.002443617209792137,
0.00497223949059844,
0.08655372262001038,
0.02495732344686985,
-0.02473457157611847,
-0.01245442871004343,
0.06288886815309525,
0.0616353340446949,
0.0021802859846502542,
0.020968666300177574,
-0.04759705811738968,
0.021064825356006622,
0.02830870822072029,
0.0619143508374691,
-0.010873915627598763,
0.05093574523925781,
-0.041372042149305344,
0.03188258036971092,
-0.10048502683639526,
0.03446582332253456,
-0.025451941415667534,
0.08646778762340546,
0.04557476565241814,
-0.009177261963486671,
0.044835414737463,
-0.016317080706357956,
-0.05199717730283737,
-0.022241564467549324,
0.0658818930387497,
0.03358529880642891,
-0.07248459756374359,
0.04328770190477371,
-0.0028753457590937614,
0.011426709592342377,
-0.03242715448141098,
-0.02420252002775669,
-0.0075680892914533615,
0.008916798047721386,
0.01082253735512495,
0.10971679538488388,
-0.021387526765465736,
0.03359600156545639,
0.059698574244976044,
-0.030186612159013748,
-0.062277574092149734,
-0.09417974203824997,
0.0854717493057251,
0.06185700371861458,
-0.019826028496026993,
-0.0446489155292511,
-0.03523525223135948,
-0.0077655138447880745,
0.020370634272694588,
0.04180615395307541,
-0.10448449850082397,
0.007069178856909275,
0.03704260662198067,
0.0924261286854744,
0.03012152388691902,
0.011189165525138378,
0.08937054872512817,
-0.07095117121934891,
-0.013612983748316765,
0.0708194449543953,
-0.012363871559500694,
0.02579789236187935,
-0.02406829595565796,
-0.011770721524953842,
-0.01240561343729496,
0.00034142209915444255,
0.026764456182718277,
0.005394763313233852,
-0.011738822795450687,
-0.15115369856357574,
0.008841296657919884,
0.05759391188621521,
0.05036867409944534,
-0.010188247077167034,
-0.0032302970066666603,
-4.479005966118166e-8,
0.057189445942640305,
-0.05727621167898178,
0.02503686212003231,
0.03602032735943794,
0.05133240669965744,
0.023879602551460266,
0.011989327147603035,
-0.013079382479190826,
0.020750338211655617,
-0.030058911070227623,
0.04474642500281334,
-0.07375118136405945,
0.013098930940032005,
-0.05941571295261383,
-0.0008467862498946488,
0.02289772406220436,
0.0190794188529253,
-0.02082609198987484,
-0.06718157976865768,
-0.03908507153391838,
0.011672832071781158,
0.04790804907679558,
0.04443657025694847,
-0.0025537479668855667,
-0.032838113605976105,
-0.04440488666296005,
-0.06435908377170563,
-0.039019037038087845,
0.028128555044531822,
0.011657338589429855,
-0.07120019942522049,
-0.03319103270769119,
0.024006616324186325,
0.09827805310487747,
0.047166116535663605,
0.001561470446176827,
0.04045078158378601,
0.04419448599219322,
-0.004536906722933054,
0.018811771646142006,
-0.013388391584157944,
0.034860916435718536,
0.012701796367764473,
0.04340579733252525,
0.051762450486421585,
0.06664443016052246,
-0.051640596240758896,
0.05726511403918266,
-0.02156609110534191,
0.015822315588593483,
-0.02370598539710045,
0.07402265071868896,
-0.09437868744134903,
0.0025745483580976725,
-0.03089975193142891,
-0.02074366621673107,
-0.11570806056261063,
-0.06309013813734055,
0.042486436665058136,
0.023527666926383972,
-0.010277886874973774,
-0.049042489379644394,
-0.06562646478414536,
-0.019756808876991272
] |
1402.2885
|
Davide Faranda
|
Davide Faranda and Flavio Maria Emanuele Pons and B\'ereng\`ere
Dubrulle
|
Statistical early-warning indicators based on Auto-Regressive
Moving-Average processes
|
5 pages, 4 figures
| null |
10.1088/1751-8113/47/25/252001
| null |
physics.data-an nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We address the problem of defining early warning indicators of critical
transition. To this purpose, we fit the relevant time series through a class of
linear models, known as Auto-Regressive Moving-Average (ARMA(p,q)) models. We
define two indicators representing the total order and the total persistence of
the process, linked, respectively, to the shape and to the characteristic decay
time of the autocorrelation function of the process. We successfully test the
method to detect transitions in a Langevin model and a 2D Ising model with
nearest-neighbour interaction. We then apply the method to complex systems,
namely for dynamo thresholds and financial crisis detection.
|
[
{
"created": "Wed, 12 Feb 2014 16:36:07 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Faranda",
"Davide",
""
],
[
"Pons",
"Flavio Maria Emanuele",
""
],
[
"Dubrulle",
"Bérengère",
""
]
] |
[
-0.060642119497060776,
-0.06602712720632553,
0.024540547281503677,
0.05327021703124046,
0.10767249017953873,
-0.006288617383688688,
-0.039333898574113846,
0.057947564870119095,
0.1541006714105606,
0.026080798357725143,
-0.008753510192036629,
-0.030954094603657722,
0.030034665018320084,
-0.010332410223782063,
-0.0739806592464447,
-0.09594711661338806,
-0.0412919744849205,
-0.08939026296138763,
0.029455898329615593,
-0.017284495756030083,
0.06585229188203812,
0.027104830369353294,
-0.06970634311437607,
-0.0049546631053090096,
0.04974249005317688,
0.002155121648684144,
0.03023730218410492,
0.03674335777759552,
0.004681355785578489,
0.03397796303033829,
0.018030310049653053,
-0.04107663780450821,
-0.051115456968545914,
0.0024607714731246233,
0.04820048809051514,
0.04772414267063141,
0.10983860492706299,
0.047251246869564056,
-0.011270906776189804,
-0.008856810629367828,
0.05717528238892555,
-0.011612632311880589,
0.04122152924537659,
-0.061236422508955,
0.06403888761997223,
-0.0002550054050516337,
0.01347426138818264,
-0.04025823995471001,
-0.0675782561302185,
-0.00018149898096453398,
-0.020271312445402145,
0.013481790199875832,
-0.026442427188158035,
-0.028094708919525146,
0.03653600439429283,
0.06419190019369125,
0.07655740529298782,
-0.03826218470931053,
0.03336144611239433,
0.07771073281764984,
0.024709897115826607,
-0.008211633190512657,
0.018491938710212708,
-0.0010247841710224748,
0.03785891830921173,
0.059582989662885666,
0.047625958919525146,
0.08470317721366882,
-0.022480012848973274,
0.062152691185474396,
-0.01342932227998972,
0.011697527021169662,
-0.0910206064581871,
-0.035477519035339355,
0.03793441876769066,
-0.04049839451909065,
-0.00980959739536047,
-0.026704318821430206,
-0.04771701619029045,
-0.0959109291434288,
-0.07317027449607849,
-0.04994330182671547,
0.05371314659714699,
-0.09746724367141724,
-0.08519642800092697,
0.04747640714049339,
0.027238283306360245,
-0.03453591465950012,
0.07442014664411545,
0.014682270586490631,
0.05717811733484268,
0.021012691780924797,
-0.059376876801252365,
-0.00810966920107603,
0.03679594025015831,
0.009627255611121655,
0.016705146059393883,
-0.03696933761239052,
0.09423937648534775,
0.04109898582100868,
-0.0044127875007689,
-0.021306460723280907,
0.07139445841312408,
-0.007423870265483856,
0.09441562741994858,
-0.04936623573303223,
0.06635197252035141,
-0.003785419510677457,
0.011742248199880123,
-0.017629988491535187,
-0.013223271816968918,
-0.04975006356835365,
0.03378252312541008,
-0.01901283860206604,
0.02857818640768528,
-0.00207192893140018,
-0.0012263795360922813,
-0.014684578403830528,
-0.0011938245734199882,
0.045448318123817444,
0.06193362921476364,
-0.013386992737650871,
-0.08698517829179764,
0.03419485688209534,
0.07635103911161423,
0.1007235199213028,
0.02561206743121147,
-3.665574156211879e-33,
0.03214366361498833,
-0.02382090874016285,
0.010999022051692009,
-0.00013780687004327774,
-0.0737726166844368,
-0.032222021371126175,
-0.042680416256189346,
-0.12296191602945328,
-0.011565543711185455,
0.043473489582538605,
-0.024844275787472725,
0.05634022504091263,
-0.09193209558725357,
-0.04995516687631607,
-0.009572885930538177,
-0.04010419920086861,
0.03574729338288307,
0.002970893867313862,
0.06060505285859108,
-0.10426363348960876,
0.04872201755642891,
-0.10578708350658417,
-0.002433288376778364,
-0.018146155402064323,
0.06042686849832535,
-0.021271685138344765,
0.041826725006103516,
-0.023817000910639763,
-0.00047437340253964067,
-0.02322845347225666,
-0.029982775449752808,
0.05321916565299034,
-0.06137699633836746,
-0.04454046115279198,
-0.04577977955341339,
-0.0051477886736392975,
-0.048663120716810226,
0.03587858006358147,
0.04375964030623436,
-0.138108491897583,
0.03145483136177063,
-0.025978054851293564,
-0.07623124122619629,
-0.02382591739296913,
0.020685536786913872,
0.007010087836533785,
0.08110739290714264,
0.007442062720656395,
-0.030965210869908333,
-0.06494984775781631,
0.04886453598737717,
-0.01477832905948162,
-0.023330319672822952,
0.0332988016307354,
-0.04206674173474312,
0.06915099173784256,
0.061428848654031754,
-0.04617684707045555,
0.014852994121611118,
0.023965217173099518,
-0.04729315638542175,
0.01457514800131321,
-0.024500064551830292,
-0.022087857127189636,
0.066855788230896,
0.09344576299190521,
-0.02283569425344467,
0.05555080249905586,
0.0342058390378952,
0.03944290429353714,
0.020269928500056267,
-0.01775669865310192,
0.025269901379942894,
-0.028013283386826515,
0.08453729748725891,
-0.009354148991405964,
-0.009715717285871506,
-0.008522574789822102,
-0.044129714369773865,
-0.05423877388238907,
-0.0409429706633091,
-0.10957275331020355,
0.06554564833641052,
0.010486745275557041,
0.008088155649602413,
-0.06073587387800217,
-0.009830394759774208,
-0.013664277270436287,
-0.14377717673778534,
-0.03897550329566002,
-0.03390566259622574,
0.01859392784535885,
0.08292588591575623,
0.14660347998142242,
-0.04335851967334747,
1.0861723003586444e-33,
-0.03994812071323395,
0.018530486151576042,
0.10140880197286606,
0.03021937422454357,
0.0018426545429974794,
-0.038701433688402176,
0.01178268063813448,
0.053577519953250885,
-0.01655210554599762,
-0.0028952762950211763,
-0.04159993305802345,
-0.0741482526063919,
0.030354706570506096,
0.04046008363366127,
0.02490110509097576,
-0.03429882228374481,
0.12797494232654572,
-0.00710813095793128,
0.09311283379793167,
0.028882863000035286,
-0.01997557282447815,
-0.024781208485364914,
-0.03895135968923569,
-0.0377182699739933,
-0.022453907877206802,
0.036989741027355194,
0.012532641179859638,
0.06256455928087234,
-0.07362770289182663,
-0.016080673784017563,
-0.04692425578832626,
-0.0033212725538760424,
0.07490403950214386,
0.07388808578252792,
-0.02145286090672016,
0.001073770341463387,
0.010401502251625061,
-0.08276776224374771,
-0.011830885894596577,
0.07828127592802048,
0.06641177833080292,
0.0341455340385437,
-0.030136344954371452,
-0.03963768854737282,
0.00214385031722486,
0.016088509932160378,
0.07054907828569412,
0.11830003559589386,
-0.05761817470192909,
-0.10251588374376297,
-0.01734013296663761,
0.07233232259750366,
-0.028105158358812332,
0.06310941278934479,
-0.038977932184934616,
0.08323998749256134,
-0.007588399574160576,
-0.05684981495141983,
-0.02019398659467697,
-0.004786849487572908,
-0.03229457139968872,
-0.07398690283298492,
0.006615555379539728,
-0.02797836996614933,
-0.000025672174160717987,
-0.03944327309727669,
-0.016406647861003876,
-0.12957894802093506,
0.030074667185544968,
-0.005044286604970694,
0.1435312032699585,
0.010128147900104523,
-0.03081599809229374,
-0.04316743463277817,
0.007274513132870197,
-0.07734613865613937,
0.023283153772354126,
-0.06691797077655792,
-0.008351670578122139,
-0.08694255352020264,
-0.11244044452905655,
0.038442522287368774,
0.002601678716018796,
0.004234771244227886,
-0.08758594840765,
0.032117053866386414,
0.03861777111887932,
-0.03464352712035179,
-0.017979241907596588,
-0.011188764125108719,
-0.06518546491861343,
-0.01563202030956745,
0.014174546115100384,
-0.015632444992661476,
-0.06758885085582733,
-4.269028863745916e-8,
0.005620025563985109,
0.017313038930296898,
0.10814281553030014,
-0.04012206196784973,
0.07359520345926285,
0.027321821078658104,
0.08209434151649475,
0.01036113128066063,
0.01642180234193802,
0.021961359307169914,
0.05596567690372467,
-0.025519222021102905,
-0.034279584884643555,
-0.06685732305049896,
-0.039041757583618164,
-0.029891589656472206,
0.03165654465556145,
0.0021813211496919394,
-0.028097128495573997,
-0.06014743074774742,
0.01068164687603712,
0.008880233392119408,
-0.01547169778496027,
0.010076567530632019,
0.018342329189181328,
0.0020770542323589325,
-0.015682628378272057,
0.00824044831097126,
0.05392763018608093,
0.030498232692480087,
-0.03711669519543648,
0.02421053871512413,
0.06927908211946487,
0.03587474301457405,
-0.024608390405774117,
0.12466030567884445,
0.045246995985507965,
0.04435792192816734,
0.007597160525619984,
0.007818144746124744,
-0.02006611041724682,
0.053529784083366394,
-0.11602737009525299,
-0.00018827003077603877,
-0.037714336067438126,
0.011594521813094616,
0.012570816092193127,
-0.07851986587047577,
0.06462361663579941,
-0.042083557695150375,
0.04147706180810928,
-0.10019377619028091,
0.004879456013441086,
0.03019704483449459,
-0.010704337619245052,
-0.008788020350039005,
-0.016163837164640427,
0.01785201206803322,
-0.06286649405956268,
0.06132061406970024,
0.07446980476379395,
-0.05980641394853592,
-0.052544645965099335,
0.03656107187271118
] | null | null | null | null | null | null | null |
[
-0.060642119497060776,
-0.06602712720632553,
0.024540547281503677,
0.05327021703124046,
0.10767249017953873,
-0.006288617383688688,
-0.039333898574113846,
0.057947564870119095,
0.1541006714105606,
0.026080798357725143,
-0.008753510192036629,
-0.030954094603657722,
0.030034665018320084,
-0.010332410223782063,
-0.0739806592464447,
-0.09594711661338806,
-0.0412919744849205,
-0.08939026296138763,
0.029455898329615593,
-0.017284495756030083,
0.06585229188203812,
0.027104830369353294,
-0.06970634311437607,
-0.0049546631053090096,
0.04974249005317688,
0.002155121648684144,
0.03023730218410492,
0.03674335777759552,
0.004681355785578489,
0.03397796303033829,
0.018030310049653053,
-0.04107663780450821,
-0.051115456968545914,
0.0024607714731246233,
0.04820048809051514,
0.04772414267063141,
0.10983860492706299,
0.047251246869564056,
-0.011270906776189804,
-0.008856810629367828,
0.05717528238892555,
-0.011612632311880589,
0.04122152924537659,
-0.061236422508955,
0.06403888761997223,
-0.0002550054050516337,
0.01347426138818264,
-0.04025823995471001,
-0.0675782561302185,
-0.00018149898096453398,
-0.020271312445402145,
0.013481790199875832,
-0.026442427188158035,
-0.028094708919525146,
0.03653600439429283,
0.06419190019369125,
0.07655740529298782,
-0.03826218470931053,
0.03336144611239433,
0.07771073281764984,
0.024709897115826607,
-0.008211633190512657,
0.018491938710212708,
-0.0010247841710224748,
0.03785891830921173,
0.059582989662885666,
0.047625958919525146,
0.08470317721366882,
-0.022480012848973274,
0.062152691185474396,
-0.01342932227998972,
0.011697527021169662,
-0.0910206064581871,
-0.035477519035339355,
0.03793441876769066,
-0.04049839451909065,
-0.00980959739536047,
-0.026704318821430206,
-0.04771701619029045,
-0.0959109291434288,
-0.07317027449607849,
-0.04994330182671547,
0.05371314659714699,
-0.09746724367141724,
-0.08519642800092697,
0.04747640714049339,
0.027238283306360245,
-0.03453591465950012,
0.07442014664411545,
0.014682270586490631,
0.05717811733484268,
0.021012691780924797,
-0.059376876801252365,
-0.00810966920107603,
0.03679594025015831,
0.009627255611121655,
0.016705146059393883,
-0.03696933761239052,
0.09423937648534775,
0.04109898582100868,
-0.0044127875007689,
-0.021306460723280907,
0.07139445841312408,
-0.007423870265483856,
0.09441562741994858,
-0.04936623573303223,
0.06635197252035141,
-0.003785419510677457,
0.011742248199880123,
-0.017629988491535187,
-0.013223271816968918,
-0.04975006356835365,
0.03378252312541008,
-0.01901283860206604,
0.02857818640768528,
-0.00207192893140018,
-0.0012263795360922813,
-0.014684578403830528,
-0.0011938245734199882,
0.045448318123817444,
0.06193362921476364,
-0.013386992737650871,
-0.08698517829179764,
0.03419485688209534,
0.07635103911161423,
0.1007235199213028,
0.02561206743121147,
-3.665574156211879e-33,
0.03214366361498833,
-0.02382090874016285,
0.010999022051692009,
-0.00013780687004327774,
-0.0737726166844368,
-0.032222021371126175,
-0.042680416256189346,
-0.12296191602945328,
-0.011565543711185455,
0.043473489582538605,
-0.024844275787472725,
0.05634022504091263,
-0.09193209558725357,
-0.04995516687631607,
-0.009572885930538177,
-0.04010419920086861,
0.03574729338288307,
0.002970893867313862,
0.06060505285859108,
-0.10426363348960876,
0.04872201755642891,
-0.10578708350658417,
-0.002433288376778364,
-0.018146155402064323,
0.06042686849832535,
-0.021271685138344765,
0.041826725006103516,
-0.023817000910639763,
-0.00047437340253964067,
-0.02322845347225666,
-0.029982775449752808,
0.05321916565299034,
-0.06137699633836746,
-0.04454046115279198,
-0.04577977955341339,
-0.0051477886736392975,
-0.048663120716810226,
0.03587858006358147,
0.04375964030623436,
-0.138108491897583,
0.03145483136177063,
-0.025978054851293564,
-0.07623124122619629,
-0.02382591739296913,
0.020685536786913872,
0.007010087836533785,
0.08110739290714264,
0.007442062720656395,
-0.030965210869908333,
-0.06494984775781631,
0.04886453598737717,
-0.01477832905948162,
-0.023330319672822952,
0.0332988016307354,
-0.04206674173474312,
0.06915099173784256,
0.061428848654031754,
-0.04617684707045555,
0.014852994121611118,
0.023965217173099518,
-0.04729315638542175,
0.01457514800131321,
-0.024500064551830292,
-0.022087857127189636,
0.066855788230896,
0.09344576299190521,
-0.02283569425344467,
0.05555080249905586,
0.0342058390378952,
0.03944290429353714,
0.020269928500056267,
-0.01775669865310192,
0.025269901379942894,
-0.028013283386826515,
0.08453729748725891,
-0.009354148991405964,
-0.009715717285871506,
-0.008522574789822102,
-0.044129714369773865,
-0.05423877388238907,
-0.0409429706633091,
-0.10957275331020355,
0.06554564833641052,
0.010486745275557041,
0.008088155649602413,
-0.06073587387800217,
-0.009830394759774208,
-0.013664277270436287,
-0.14377717673778534,
-0.03897550329566002,
-0.03390566259622574,
0.01859392784535885,
0.08292588591575623,
0.14660347998142242,
-0.04335851967334747,
1.0861723003586444e-33,
-0.03994812071323395,
0.018530486151576042,
0.10140880197286606,
0.03021937422454357,
0.0018426545429974794,
-0.038701433688402176,
0.01178268063813448,
0.053577519953250885,
-0.01655210554599762,
-0.0028952762950211763,
-0.04159993305802345,
-0.0741482526063919,
0.030354706570506096,
0.04046008363366127,
0.02490110509097576,
-0.03429882228374481,
0.12797494232654572,
-0.00710813095793128,
0.09311283379793167,
0.028882863000035286,
-0.01997557282447815,
-0.024781208485364914,
-0.03895135968923569,
-0.0377182699739933,
-0.022453907877206802,
0.036989741027355194,
0.012532641179859638,
0.06256455928087234,
-0.07362770289182663,
-0.016080673784017563,
-0.04692425578832626,
-0.0033212725538760424,
0.07490403950214386,
0.07388808578252792,
-0.02145286090672016,
0.001073770341463387,
0.010401502251625061,
-0.08276776224374771,
-0.011830885894596577,
0.07828127592802048,
0.06641177833080292,
0.0341455340385437,
-0.030136344954371452,
-0.03963768854737282,
0.00214385031722486,
0.016088509932160378,
0.07054907828569412,
0.11830003559589386,
-0.05761817470192909,
-0.10251588374376297,
-0.01734013296663761,
0.07233232259750366,
-0.028105158358812332,
0.06310941278934479,
-0.038977932184934616,
0.08323998749256134,
-0.007588399574160576,
-0.05684981495141983,
-0.02019398659467697,
-0.004786849487572908,
-0.03229457139968872,
-0.07398690283298492,
0.006615555379539728,
-0.02797836996614933,
-0.000025672174160717987,
-0.03944327309727669,
-0.016406647861003876,
-0.12957894802093506,
0.030074667185544968,
-0.005044286604970694,
0.1435312032699585,
0.010128147900104523,
-0.03081599809229374,
-0.04316743463277817,
0.007274513132870197,
-0.07734613865613937,
0.023283153772354126,
-0.06691797077655792,
-0.008351670578122139,
-0.08694255352020264,
-0.11244044452905655,
0.038442522287368774,
0.002601678716018796,
0.004234771244227886,
-0.08758594840765,
0.032117053866386414,
0.03861777111887932,
-0.03464352712035179,
-0.017979241907596588,
-0.011188764125108719,
-0.06518546491861343,
-0.01563202030956745,
0.014174546115100384,
-0.015632444992661476,
-0.06758885085582733,
-4.269028863745916e-8,
0.005620025563985109,
0.017313038930296898,
0.10814281553030014,
-0.04012206196784973,
0.07359520345926285,
0.027321821078658104,
0.08209434151649475,
0.01036113128066063,
0.01642180234193802,
0.021961359307169914,
0.05596567690372467,
-0.025519222021102905,
-0.034279584884643555,
-0.06685732305049896,
-0.039041757583618164,
-0.029891589656472206,
0.03165654465556145,
0.0021813211496919394,
-0.028097128495573997,
-0.06014743074774742,
0.01068164687603712,
0.008880233392119408,
-0.01547169778496027,
0.010076567530632019,
0.018342329189181328,
0.0020770542323589325,
-0.015682628378272057,
0.00824044831097126,
0.05392763018608093,
0.030498232692480087,
-0.03711669519543648,
0.02421053871512413,
0.06927908211946487,
0.03587474301457405,
-0.024608390405774117,
0.12466030567884445,
0.045246995985507965,
0.04435792192816734,
0.007597160525619984,
0.007818144746124744,
-0.02006611041724682,
0.053529784083366394,
-0.11602737009525299,
-0.00018827003077603877,
-0.037714336067438126,
0.011594521813094616,
0.012570816092193127,
-0.07851986587047577,
0.06462361663579941,
-0.042083557695150375,
0.04147706180810928,
-0.10019377619028091,
0.004879456013441086,
0.03019704483449459,
-0.010704337619245052,
-0.008788020350039005,
-0.016163837164640427,
0.01785201206803322,
-0.06286649405956268,
0.06132061406970024,
0.07446980476379395,
-0.05980641394853592,
-0.052544645965099335,
0.03656107187271118
] |
1402.2887
|
Maria Paola Santisi D'Avila
|
Maria Paola Santisi D'Avila (JAD), Luca Lenti (IFSTTAR/GERS/SV),
Jean-Fran\c{c}ois Semblat (IFSTTAR/GERS/SV)
|
Mod\'elisation 1D-3Composantes de la r\'eponse sismique d'une colonne de
sol multicouche \`a comportement non lin\'eaire
|
18th International Conference on Soil Mechanics and Geotechnical
Engineering, France (2013)
| null | null | null |
physics.geo-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a one-directional three-component (1D-3C) approach to model the
unidirectional (1D) propagation of a three component (3C) earthquake for
seismic response analyses of horizontal multilayer soils, considering a 3D
nonlinear constitutive behaviour for soils. An elasto-plastic cyclic
constitutive behaviour of the Masing-Prandtl-Iwan type, using just the shear
modulus decay curve for soil characterization, is implemented in a finite
element scheme. Seismic response of soil profiles appears dependent on incident
wave polarization, elastic and dynamic properties of medium and seismic
impedance contrast between soil layers. Propagating a 3C signal induces a
multiaxial stress interaction decreasing soil strength and increasing nonlinear
effects. Soil profiles in the Tohoku area (Japan) are loaded by seismic signals
recorded at outcrops or downhole, during the 2011 Tohoku earthquake. The
nonlinear seismic response of each soil profile, represented in terms of
acceleration, hysteresis loops and stress and strain profiles with depth, is
compared in both cases of superposition of three one-component propagation
effects (1D-1C) and 1D-3C.
|
[
{
"created": "Mon, 10 Feb 2014 07:17:54 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"D'Avila",
"Maria Paola Santisi",
"",
"JAD"
],
[
"Lenti",
"Luca",
"",
"IFSTTAR/GERS/SV"
],
[
"Semblat",
"Jean-François",
"",
"IFSTTAR/GERS/SV"
]
] |
[
-0.06626375019550323,
-0.06498324871063232,
0.09090744704008102,
-0.03390422835946083,
0.07932475954294205,
-0.10678844898939133,
-0.12316405773162842,
-0.034834980964660645,
0.05305235832929611,
0.014156212098896503,
-0.01000884547829628,
-0.06365746259689331,
0.008381362073123455,
-0.051155779510736465,
0.039197199046611786,
0.016037611290812492,
-0.0257083959877491,
0.05039919912815094,
-0.03696686774492264,
-0.0073080044239759445,
0.1189340204000473,
-0.001887682592496276,
-0.01133732683956623,
-0.037368837743997574,
0.04283374175429344,
-0.003350693266838789,
-0.06508795917034149,
0.057097211480140686,
-0.05067533999681473,
-0.02402028813958168,
0.0073319184593856335,
-0.03823598101735115,
-0.006356865167617798,
0.06691566854715347,
-0.07268631458282471,
0.10208825767040253,
-0.03743836656212807,
-0.05485473573207855,
-0.08941005915403366,
0.060487791895866394,
-0.033904243260622025,
0.05068851634860039,
0.05472278967499733,
-0.04901693016290665,
0.019299544394016266,
-0.08761682361364365,
0.003831281792372465,
-0.10841532796621323,
0.0008829828584566712,
0.003929483238607645,
0.050100456923246384,
0.017009878531098366,
-0.0015694795874878764,
0.04658215120434761,
-0.006647448055446148,
0.0044976589269936085,
0.11178603023290634,
0.097530297935009,
0.0020297018345445395,
-0.001437495113350451,
0.048861049115657806,
0.03144371137022972,
0.028301425278186798,
-0.08305411785840988,
0.12022541463375092,
-0.004464076831936836,
-0.017608068883419037,
-0.009389827959239483,
-0.027745690196752548,
0.024804173037409782,
-0.004628471564501524,
-0.01560484990477562,
0.12382358312606812,
-0.03565606102347374,
0.005368481390178204,
0.023811908438801765,
-0.03170737996697426,
0.1247987225651741,
-0.0516541451215744,
-0.07766390591859818,
0.02144203521311283,
0.0043373918160796165,
-0.023414071649312973,
-0.07996810972690582,
-0.03488785773515701,
0.013909369707107544,
-0.01585531234741211,
-0.004666472319513559,
0.01302381418645382,
0.05141107365489006,
0.05157521739602089,
0.03617171198129654,
-0.03647325560450554,
0.08122259378433228,
0.07734621316194534,
-0.015190203674137592,
-0.01572573371231556,
-0.048581961542367935,
-0.049539294093847275,
0.04354220628738403,
-0.001205267384648323,
0.05355731397867203,
-0.029351765289902687,
0.05357752740383148,
0.004430598579347134,
0.04063784331083298,
-0.057769279927015305,
-0.015227686613798141,
0.02616140805184841,
0.1214030310511589,
0.012505228631198406,
-0.07033390551805496,
0.047513462603092194,
-0.009500903077423573,
-0.05559680983424187,
-0.08261643350124359,
0.059907831251621246,
0.056101471185684204,
-0.002641111146658659,
-0.01554615143686533,
0.03838381543755531,
-0.04021398350596428,
-0.016533147543668747,
-0.01062013953924179,
0.08065193891525269,
0.008412303403019905,
-0.025722503662109375,
2.9582345732709758e-33,
0.006454841233789921,
0.05066278576850891,
-0.07072307914495468,
0.04283193126320839,
-0.07520429790019989,
-0.05423710122704506,
0.007055620197206736,
0.026777228340506554,
-0.058706045150756836,
0.040314529091119766,
-0.07094825804233551,
0.04866569861769676,
-0.027491729706525803,
0.014872768893837929,
-0.06940489262342453,
0.017238948494195938,
0.024763986468315125,
-0.09027624875307083,
0.0018162900814786553,
0.0577777661383152,
-0.034187037497758865,
-0.08081677556037903,
-0.06809843331575394,
-0.03338931128382683,
0.023193523287773132,
-0.10683467239141464,
0.021447107195854187,
0.025026565417647362,
-0.10794128477573395,
-0.018162239342927933,
0.023807881399989128,
0.013485686853528023,
-0.03599077835679054,
-0.06338333338499069,
0.015619402751326561,
-0.026920121163129807,
0.04654736444354057,
0.018177147954702377,
-0.055900637060403824,
0.047735683619976044,
-0.010156173259019852,
-0.06316297501325607,
0.013653145171701908,
0.002518089022487402,
0.05136546865105629,
-0.03011915273964405,
0.06543399393558502,
0.04607700556516647,
0.04625673592090607,
-0.012801403179764748,
-0.015430553816258907,
-0.03810204565525055,
-0.006962073966860771,
-0.035943545401096344,
-0.005781165324151516,
0.028563467785716057,
0.05585883557796478,
-0.029497548937797546,
0.07064737379550934,
0.05604960396885872,
-0.024126432836055756,
-0.06968019157648087,
0.07472097128629684,
0.020722365006804466,
0.010866519995033741,
0.02912914752960205,
-0.06933524459600449,
0.05365113541483879,
0.04744793102145195,
0.04119618237018585,
-0.01873445324599743,
0.05152396112680435,
0.005430986639112234,
0.07422710210084915,
-0.04096001386642456,
-0.009023687802255154,
-0.12075714766979218,
-0.01571904495358467,
0.08036032319068909,
0.03343666344881058,
0.016192877665162086,
0.0253056101500988,
0.022419344633817673,
0.07017114758491516,
-0.025143420323729515,
0.0783020555973053,
0.058734141290187836,
-0.08758778125047684,
0.004428088665008545,
-0.033113859593868256,
-0.016667457297444344,
0.021204615011811256,
0.0648258700966835,
-0.0878187045454979,
0.012325573712587357,
-3.1999112526832456e-33,
-0.05544203147292137,
0.09201369434595108,
-0.08814425766468048,
0.025919126346707344,
0.02366762049496174,
0.053712066262960434,
-0.009970352984964848,
0.07238028943538666,
-0.03645651787519455,
-0.01941467635333538,
0.1467171311378479,
-0.04614945873618126,
-0.025652457028627396,
0.03440417721867561,
0.02733638323843479,
0.08998039364814758,
-0.06378032267093658,
-0.059140950441360474,
-0.025772152468562126,
-0.014347376301884651,
0.03131715953350067,
-0.11045420914888382,
-0.048525694757699966,
0.01703125238418579,
-0.05838830769062042,
0.025234565138816833,
-0.06965943425893784,
-0.0302459467202425,
-0.01196989230811596,
0.02146897278726101,
-0.056519635021686554,
0.08485095202922821,
0.0004166683356743306,
-0.016909370198845863,
-0.017430631443858147,
0.07797279208898544,
-0.016795745119452477,
-0.07918261736631393,
0.03319188207387924,
-0.0578417032957077,
0.01439735759049654,
0.123353511095047,
0.11692361533641815,
-0.009487642906606197,
-0.08442007005214691,
-0.0018696179613471031,
0.033930227160453796,
0.057749632745981216,
0.028174158185720444,
0.015997715294361115,
0.015863997861742973,
0.01618684083223343,
-0.0034406993072479963,
-0.0363406166434288,
0.05268019437789917,
0.03083094023168087,
-0.055911801755428314,
0.017458494752645493,
-0.0428345650434494,
0.019253311678767204,
-0.057579390704631805,
0.009260164573788643,
0.009784880094230175,
-0.0039728195406496525,
0.019473927095532417,
-0.010467628948390484,
0.04121772572398186,
-0.0223016906529665,
-0.06863345950841904,
0.0454108901321888,
0.0010076876496896148,
0.030968617647886276,
0.09062391519546509,
-0.04086228460073471,
0.05214886739850044,
-0.03991895541548729,
-0.027356965467333794,
0.04548982158303261,
-0.08575211465358734,
0.006401345133781433,
0.08816789090633392,
-0.007563410326838493,
-0.03017093427479267,
0.04818391427397728,
0.03397239372134209,
0.00018482966697774827,
0.008772439323365688,
0.025590378791093826,
0.05165852606296539,
0.028159884735941887,
0.05310070514678955,
0.05906708166003227,
-0.011125024408102036,
-0.048370979726314545,
0.0995703861117363,
-4.906146244820775e-8,
0.017311979085206985,
-0.02254827693104744,
-0.019589662551879883,
-0.07545441389083862,
-0.01050485298037529,
0.012278936803340912,
0.06675982475280762,
-0.03254721686244011,
0.05332281440496445,
-0.06326054781675339,
0.011574136093258858,
0.00008246787183452398,
-0.09249143302440643,
-0.05005490779876709,
-0.006443139631301165,
0.024721669033169746,
0.003461365820840001,
0.006188162136822939,
-0.021445341408252716,
0.035120584070682526,
-0.04303276538848877,
-0.02560422196984291,
-0.07377064228057861,
-0.03150796890258789,
0.14549216628074646,
-0.0008402643725275993,
-0.09034378081560135,
-0.005237410310655832,
-0.013745198957622051,
0.04435905069112778,
-0.01611870527267456,
-0.08428177237510681,
-0.08792511373758316,
-0.006671626586467028,
-0.07778586447238922,
0.09079387784004211,
0.004098555538803339,
-0.0036110118962824345,
-0.0076382155530154705,
0.028618326410651207,
-0.01895679347217083,
0.05392848327755928,
-0.0008474543574266136,
0.015368632972240448,
0.03190799430012703,
-0.02760917693376541,
-0.10558374226093292,
-0.022398918867111206,
-0.02633247710764408,
-0.025914087891578674,
-0.052491284906864166,
-0.03615927696228027,
0.01774977147579193,
0.03172636404633522,
0.10912389308214188,
-0.0004947413108311594,
-0.04153568670153618,
0.0029127199668437243,
0.04418591782450676,
0.07300125062465668,
0.0002118494885507971,
-0.006606143433600664,
-0.018390987068414688,
-0.08383133262395859
] | null | null | null | null | null | null | null |
[
-0.06626375019550323,
-0.06498324871063232,
0.09090744704008102,
-0.03390422835946083,
0.07932475954294205,
-0.10678844898939133,
-0.12316405773162842,
-0.034834980964660645,
0.05305235832929611,
0.014156212098896503,
-0.01000884547829628,
-0.06365746259689331,
0.008381362073123455,
-0.051155779510736465,
0.039197199046611786,
0.016037611290812492,
-0.0257083959877491,
0.05039919912815094,
-0.03696686774492264,
-0.0073080044239759445,
0.1189340204000473,
-0.001887682592496276,
-0.01133732683956623,
-0.037368837743997574,
0.04283374175429344,
-0.003350693266838789,
-0.06508795917034149,
0.057097211480140686,
-0.05067533999681473,
-0.02402028813958168,
0.0073319184593856335,
-0.03823598101735115,
-0.006356865167617798,
0.06691566854715347,
-0.07268631458282471,
0.10208825767040253,
-0.03743836656212807,
-0.05485473573207855,
-0.08941005915403366,
0.060487791895866394,
-0.033904243260622025,
0.05068851634860039,
0.05472278967499733,
-0.04901693016290665,
0.019299544394016266,
-0.08761682361364365,
0.003831281792372465,
-0.10841532796621323,
0.0008829828584566712,
0.003929483238607645,
0.050100456923246384,
0.017009878531098366,
-0.0015694795874878764,
0.04658215120434761,
-0.006647448055446148,
0.0044976589269936085,
0.11178603023290634,
0.097530297935009,
0.0020297018345445395,
-0.001437495113350451,
0.048861049115657806,
0.03144371137022972,
0.028301425278186798,
-0.08305411785840988,
0.12022541463375092,
-0.004464076831936836,
-0.017608068883419037,
-0.009389827959239483,
-0.027745690196752548,
0.024804173037409782,
-0.004628471564501524,
-0.01560484990477562,
0.12382358312606812,
-0.03565606102347374,
0.005368481390178204,
0.023811908438801765,
-0.03170737996697426,
0.1247987225651741,
-0.0516541451215744,
-0.07766390591859818,
0.02144203521311283,
0.0043373918160796165,
-0.023414071649312973,
-0.07996810972690582,
-0.03488785773515701,
0.013909369707107544,
-0.01585531234741211,
-0.004666472319513559,
0.01302381418645382,
0.05141107365489006,
0.05157521739602089,
0.03617171198129654,
-0.03647325560450554,
0.08122259378433228,
0.07734621316194534,
-0.015190203674137592,
-0.01572573371231556,
-0.048581961542367935,
-0.049539294093847275,
0.04354220628738403,
-0.001205267384648323,
0.05355731397867203,
-0.029351765289902687,
0.05357752740383148,
0.004430598579347134,
0.04063784331083298,
-0.057769279927015305,
-0.015227686613798141,
0.02616140805184841,
0.1214030310511589,
0.012505228631198406,
-0.07033390551805496,
0.047513462603092194,
-0.009500903077423573,
-0.05559680983424187,
-0.08261643350124359,
0.059907831251621246,
0.056101471185684204,
-0.002641111146658659,
-0.01554615143686533,
0.03838381543755531,
-0.04021398350596428,
-0.016533147543668747,
-0.01062013953924179,
0.08065193891525269,
0.008412303403019905,
-0.025722503662109375,
2.9582345732709758e-33,
0.006454841233789921,
0.05066278576850891,
-0.07072307914495468,
0.04283193126320839,
-0.07520429790019989,
-0.05423710122704506,
0.007055620197206736,
0.026777228340506554,
-0.058706045150756836,
0.040314529091119766,
-0.07094825804233551,
0.04866569861769676,
-0.027491729706525803,
0.014872768893837929,
-0.06940489262342453,
0.017238948494195938,
0.024763986468315125,
-0.09027624875307083,
0.0018162900814786553,
0.0577777661383152,
-0.034187037497758865,
-0.08081677556037903,
-0.06809843331575394,
-0.03338931128382683,
0.023193523287773132,
-0.10683467239141464,
0.021447107195854187,
0.025026565417647362,
-0.10794128477573395,
-0.018162239342927933,
0.023807881399989128,
0.013485686853528023,
-0.03599077835679054,
-0.06338333338499069,
0.015619402751326561,
-0.026920121163129807,
0.04654736444354057,
0.018177147954702377,
-0.055900637060403824,
0.047735683619976044,
-0.010156173259019852,
-0.06316297501325607,
0.013653145171701908,
0.002518089022487402,
0.05136546865105629,
-0.03011915273964405,
0.06543399393558502,
0.04607700556516647,
0.04625673592090607,
-0.012801403179764748,
-0.015430553816258907,
-0.03810204565525055,
-0.006962073966860771,
-0.035943545401096344,
-0.005781165324151516,
0.028563467785716057,
0.05585883557796478,
-0.029497548937797546,
0.07064737379550934,
0.05604960396885872,
-0.024126432836055756,
-0.06968019157648087,
0.07472097128629684,
0.020722365006804466,
0.010866519995033741,
0.02912914752960205,
-0.06933524459600449,
0.05365113541483879,
0.04744793102145195,
0.04119618237018585,
-0.01873445324599743,
0.05152396112680435,
0.005430986639112234,
0.07422710210084915,
-0.04096001386642456,
-0.009023687802255154,
-0.12075714766979218,
-0.01571904495358467,
0.08036032319068909,
0.03343666344881058,
0.016192877665162086,
0.0253056101500988,
0.022419344633817673,
0.07017114758491516,
-0.025143420323729515,
0.0783020555973053,
0.058734141290187836,
-0.08758778125047684,
0.004428088665008545,
-0.033113859593868256,
-0.016667457297444344,
0.021204615011811256,
0.0648258700966835,
-0.0878187045454979,
0.012325573712587357,
-3.1999112526832456e-33,
-0.05544203147292137,
0.09201369434595108,
-0.08814425766468048,
0.025919126346707344,
0.02366762049496174,
0.053712066262960434,
-0.009970352984964848,
0.07238028943538666,
-0.03645651787519455,
-0.01941467635333538,
0.1467171311378479,
-0.04614945873618126,
-0.025652457028627396,
0.03440417721867561,
0.02733638323843479,
0.08998039364814758,
-0.06378032267093658,
-0.059140950441360474,
-0.025772152468562126,
-0.014347376301884651,
0.03131715953350067,
-0.11045420914888382,
-0.048525694757699966,
0.01703125238418579,
-0.05838830769062042,
0.025234565138816833,
-0.06965943425893784,
-0.0302459467202425,
-0.01196989230811596,
0.02146897278726101,
-0.056519635021686554,
0.08485095202922821,
0.0004166683356743306,
-0.016909370198845863,
-0.017430631443858147,
0.07797279208898544,
-0.016795745119452477,
-0.07918261736631393,
0.03319188207387924,
-0.0578417032957077,
0.01439735759049654,
0.123353511095047,
0.11692361533641815,
-0.009487642906606197,
-0.08442007005214691,
-0.0018696179613471031,
0.033930227160453796,
0.057749632745981216,
0.028174158185720444,
0.015997715294361115,
0.015863997861742973,
0.01618684083223343,
-0.0034406993072479963,
-0.0363406166434288,
0.05268019437789917,
0.03083094023168087,
-0.055911801755428314,
0.017458494752645493,
-0.0428345650434494,
0.019253311678767204,
-0.057579390704631805,
0.009260164573788643,
0.009784880094230175,
-0.0039728195406496525,
0.019473927095532417,
-0.010467628948390484,
0.04121772572398186,
-0.0223016906529665,
-0.06863345950841904,
0.0454108901321888,
0.0010076876496896148,
0.030968617647886276,
0.09062391519546509,
-0.04086228460073471,
0.05214886739850044,
-0.03991895541548729,
-0.027356965467333794,
0.04548982158303261,
-0.08575211465358734,
0.006401345133781433,
0.08816789090633392,
-0.007563410326838493,
-0.03017093427479267,
0.04818391427397728,
0.03397239372134209,
0.00018482966697774827,
0.008772439323365688,
0.025590378791093826,
0.05165852606296539,
0.028159884735941887,
0.05310070514678955,
0.05906708166003227,
-0.011125024408102036,
-0.048370979726314545,
0.0995703861117363,
-4.906146244820775e-8,
0.017311979085206985,
-0.02254827693104744,
-0.019589662551879883,
-0.07545441389083862,
-0.01050485298037529,
0.012278936803340912,
0.06675982475280762,
-0.03254721686244011,
0.05332281440496445,
-0.06326054781675339,
0.011574136093258858,
0.00008246787183452398,
-0.09249143302440643,
-0.05005490779876709,
-0.006443139631301165,
0.024721669033169746,
0.003461365820840001,
0.006188162136822939,
-0.021445341408252716,
0.035120584070682526,
-0.04303276538848877,
-0.02560422196984291,
-0.07377064228057861,
-0.03150796890258789,
0.14549216628074646,
-0.0008402643725275993,
-0.09034378081560135,
-0.005237410310655832,
-0.013745198957622051,
0.04435905069112778,
-0.01611870527267456,
-0.08428177237510681,
-0.08792511373758316,
-0.006671626586467028,
-0.07778586447238922,
0.09079387784004211,
0.004098555538803339,
-0.0036110118962824345,
-0.0076382155530154705,
0.028618326410651207,
-0.01895679347217083,
0.05392848327755928,
-0.0008474543574266136,
0.015368632972240448,
0.03190799430012703,
-0.02760917693376541,
-0.10558374226093292,
-0.022398918867111206,
-0.02633247710764408,
-0.025914087891578674,
-0.052491284906864166,
-0.03615927696228027,
0.01774977147579193,
0.03172636404633522,
0.10912389308214188,
-0.0004947413108311594,
-0.04153568670153618,
0.0029127199668437243,
0.04418591782450676,
0.07300125062465668,
0.0002118494885507971,
-0.006606143433600664,
-0.018390987068414688,
-0.08383133262395859
] |
1402.2889
|
Vladimir Shelistov
|
E.A. Demekhin, N.V. Nikitin, V.S. Shelistov
|
Three-dimensional Coherent Structures of Electrokinetic Instability
| null |
Phys. Rev. E 90, 013031 (2014)
|
10.1103/PhysRevE.90.013031
| null |
physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A direct numerical simulation of the three-dimensional elektrokinetic
instability near a charge selective surface (electric membrane, electrode, or
system of micro-/nanochannels) is carried out and analyzed. A special
finite-difference method was used for the space discretization along with a
semi-implicit $3\frac{1}{3}$-step Runge-Kutta scheme for the integration in
time. The calculations employed parallel computing. Three characteristic
patterns, which correspond to the overlimiting currents, are observed: (a)
two-dimensional electroconvective rolls, (b) three-dimensional regular
hexagonal structures, and (c) three-dimensional structures of spatiotemporal
chaos, which are a combination of unsteady hexagons, quadrangles and triangles.
The transition from (b) to (c) is accompanied by the generation of interacting
two-dimensional solitary pulses.
|
[
{
"created": "Wed, 12 Feb 2014 16:41:21 GMT",
"version": "v1"
}
] |
2014-08-06
|
[
[
"Demekhin",
"E. A.",
""
],
[
"Nikitin",
"N. V.",
""
],
[
"Shelistov",
"V. S.",
""
]
] |
[
0.0742986649274826,
0.005532217677682638,
0.002276563085615635,
-0.06832081079483032,
-0.06891602277755737,
-0.09071224182844162,
-0.008843640796840191,
-0.0388236939907074,
0.05506789684295654,
-0.045797862112522125,
0.0025345056783407927,
-0.07819592952728271,
0.006185044068843126,
-0.08178073167800903,
0.047475144267082214,
-0.012844009324908257,
-0.07672717422246933,
0.01907370612025261,
0.008420808240771294,
0.029404418542981148,
0.02782183140516281,
-0.05211851745843887,
-0.04375116899609566,
-0.059393271803855896,
-0.025650255382061005,
0.06059037521481514,
0.038839902728796005,
0.015657171607017517,
-0.03531794995069504,
-0.028595775365829468,
0.04413527995347977,
-0.02137722074985504,
-0.0912218764424324,
-0.002787904115393758,
0.0429874025285244,
-0.007695612031966448,
-0.0331723615527153,
0.057784583419561386,
-0.030309122055768967,
0.07139135152101517,
0.05177989974617958,
0.041577111929655075,
0.03580787777900696,
0.02832930162549019,
0.03691111505031586,
-0.01914353482425213,
-0.028348306193947792,
-0.09538902342319489,
-0.012738754041492939,
-0.08867136389017105,
0.01173244696110487,
-0.03164758160710335,
0.0276755653321743,
0.0010829357197508216,
-0.02974187768995762,
-0.07806294411420822,
-0.010258836671710014,
0.09438585489988327,
0.031083157286047935,
-0.08759158104658127,
0.025729481130838394,
0.043448787182569504,
0.08222084492444992,
-0.057384345680475235,
-0.01788746379315853,
-0.06564117223024368,
0.05549946799874306,
0.02121039852499962,
0.06126611307263374,
0.10776924341917038,
-0.05991721525788307,
0.018697530031204224,
0.022416984662413597,
-0.09106961637735367,
0.04863424226641655,
-0.054974786937236786,
-0.017814025282859802,
0.06992079317569733,
-0.08183291554450989,
-0.022515861317515373,
0.047423213720321655,
0.06775778532028198,
-0.05590973421931267,
-0.05936259403824806,
-0.11997213214635849,
0.10297814756631851,
0.007501290645450354,
-0.0532275028526783,
0.015491525642573833,
0.008235147222876549,
0.06906069815158844,
0.0163112785667181,
-0.02952449768781662,
-0.05558309704065323,
-0.02584030292928219,
-0.03317628428339958,
0.035014811903238297,
0.026408270001411438,
0.06924140453338623,
0.01086717564612627,
0.03711192309856415,
-0.05101068690419197,
0.03198954463005066,
0.07363312691450119,
0.09296718239784241,
-0.029487324878573418,
0.038374483585357666,
0.029887598007917404,
0.037531930953264236,
-0.013300950638949871,
0.015237460844218731,
-0.0021640732884407043,
-0.013584444299340248,
0.07497091591358185,
0.0638049766421318,
0.12105026096105576,
-0.005456588231027126,
-0.0007427126984111965,
0.11440465599298477,
0.044337645173072815,
0.046849325299263,
-0.023592961952090263,
-0.05690525099635124,
-0.01988249085843563,
-0.031593117862939835,
0.04562986269593239,
0.03498772159218788,
-1.7626243916992496e-33,
0.00132586935069412,
-0.0027021081186830997,
0.016375605016946793,
-0.031724900007247925,
-0.04556262493133545,
-0.05312757194042206,
0.06138740852475166,
0.016607586294412613,
0.04098086804151535,
0.10372161865234375,
-0.07530363649129868,
0.08582418411970139,
0.08207256346940994,
0.05574581399559975,
-0.06406860798597336,
-0.024284278973937035,
-0.06377069652080536,
-0.05740850418806076,
-0.008045338094234467,
-0.008563654497265816,
0.0909179076552391,
-0.03598425164818764,
-0.040075331926345825,
0.007712073158472776,
-0.06369858980178833,
-0.032422684133052826,
-0.03996625170111656,
0.017021657899022102,
0.05905371904373169,
0.012842817232012749,
-0.02111176587641239,
0.051713116466999054,
-0.09541961550712585,
0.0059745595790445805,
0.04534606263041496,
0.054820917546749115,
0.02799840085208416,
0.004444736056029797,
0.020335085690021515,
-0.0455562025308609,
-0.09035273641347885,
-0.0356416180729866,
-0.016641154885292053,
0.03410748019814491,
0.05795663222670555,
0.029179399833083153,
-0.01772591844201088,
-0.026505032554268837,
0.07699116319417953,
-0.09149886667728424,
-0.04977279528975487,
-0.08375732600688934,
0.02759646251797676,
0.018306078389286995,
0.11008171737194061,
-0.012055845931172371,
0.02318929322063923,
0.0050415340811014175,
0.0012858599657192826,
0.0974523276090622,
-0.004290757235139608,
-0.00872969999909401,
0.02129012905061245,
-0.04964609071612358,
0.025148512795567513,
0.042002204805612564,
-0.06076904013752937,
0.001189677743241191,
0.019325584173202515,
-0.07699103653430939,
-0.009272455237805843,
0.05148402601480484,
-0.025427401065826416,
-0.030295362696051598,
0.010670734569430351,
-0.06847352534532547,
0.019140182062983513,
0.04389646649360657,
-0.0038988464511930943,
-0.014087064191699028,
0.0036589123774319887,
-0.12294778972864151,
-0.0669141635298729,
-0.03970177471637726,
-0.028815362602472305,
-0.009329441003501415,
-0.016423998400568962,
0.06962382793426514,
-0.062397949397563934,
-0.030860312283039093,
-0.06588532775640488,
0.04013194888830185,
0.15120285749435425,
-0.0689801499247551,
-0.08225829154253006,
-2.9990600430880108e-33,
-0.0014764182269573212,
-0.02637629769742489,
-0.021654577925801277,
0.018585262820124626,
0.01616961508989334,
0.0795188918709755,
0.03583512827754021,
0.09312751889228821,
-0.05355541780591011,
-0.08382229506969452,
-0.042909491807222366,
0.042496681213378906,
-0.007182581350207329,
0.031100720167160034,
0.029839184135198593,
-0.044705215841531754,
-0.07426095753908157,
-0.03259341046214104,
0.07488181442022324,
0.050324954092502594,
-0.04054704308509827,
-0.04847247898578644,
0.017635203897953033,
-0.005817515309900045,
0.004785268567502499,
0.022168511524796486,
0.007776379585266113,
-0.017720893025398254,
0.008916283957660198,
0.05694718286395073,
-0.005761617328971624,
-0.0035164339933544397,
0.03751291334629059,
0.1122298613190651,
0.004093145951628685,
-0.013748682104051113,
-0.032206807285547256,
-0.029224947094917297,
0.08749870210886002,
-0.06591229885816574,
-0.05833812057971954,
0.045259829610586166,
0.05010610818862915,
-0.055144138634204865,
0.023235561326146126,
0.09905103594064713,
-0.07222168892621994,
0.042314574122428894,
-0.02711447700858116,
-0.0010184634011238813,
-0.1138363778591156,
-0.002633054042235017,
-0.0620974525809288,
0.016942815855145454,
-0.01901024393737316,
0.07370801270008087,
0.05046072229743004,
0.01542851235717535,
0.02834651805460453,
-0.008019997738301754,
-0.08879942446947098,
-0.02928909845650196,
0.13036808371543884,
-0.08873924612998962,
-0.0003145712544210255,
-0.030376631766557693,
-0.0121862031519413,
0.007538800127804279,
0.0386585108935833,
-0.01611483283340931,
0.001130031538195908,
0.009392374195158482,
-0.030193835496902466,
-0.054279547184705734,
-0.05315478891134262,
-0.04114352911710739,
0.006667724344879389,
-0.008295921608805656,
-0.032565291970968246,
-0.00337180495262146,
0.013949991203844547,
0.10263539850711823,
0.055260300636291504,
0.0006973337731324136,
-0.06538473814725876,
0.036751989275217056,
0.01839870773255825,
-0.031277358531951904,
0.012021167203783989,
-0.05053497105836868,
0.12677939236164093,
0.016184348613023758,
0.05845428258180618,
0.09846707433462143,
0.00790715403854847,
-6.002927221970822e-8,
0.05586704984307289,
0.017329316586256027,
0.02096051163971424,
-0.010535607114434242,
0.012224267236888409,
0.03496595472097397,
0.041501179337501526,
-0.04345555230975151,
0.017660530284047127,
-0.07213534414768219,
-0.031053593382239342,
-0.013084430247545242,
0.030171338468790054,
-0.025457065552473068,
0.008552903309464455,
-0.012958417646586895,
0.013492225669324398,
-0.018822379410266876,
0.013207104988396168,
-0.008808232843875885,
-0.05207888409495354,
-0.015335575677454472,
-0.06725966930389404,
-0.044541943818330765,
0.05166112631559372,
0.05581268295645714,
-0.002147697377949953,
0.001648982404731214,
0.0471382811665535,
-0.08785877376794815,
-0.058900173753499985,
-0.020758813247084618,
0.00410529924556613,
0.13692426681518555,
-0.03981888294219971,
-0.00788753293454647,
-0.06525257229804993,
-0.02530999295413494,
-0.004100352060049772,
-0.041051484644412994,
-0.044490426778793335,
-0.03877876326441765,
0.008460110984742641,
-0.07435352355241776,
0.035531822592020035,
0.030768239870667458,
0.04260511323809624,
-0.004216454923152924,
-0.00572681101039052,
0.09022398293018341,
-0.07506900280714035,
-0.022478366270661354,
-0.02716895192861557,
0.034242503345012665,
0.021785793825984,
-0.00791335478425026,
-0.17050734162330627,
0.01629631221294403,
-0.019148362800478935,
-0.033113475888967514,
-0.014871622435748577,
0.0025567281991243362,
-0.1149771437048912,
0.03672189638018608
] | null | null | null | null | null | null | null |
[
0.0742986649274826,
0.005532217677682638,
0.002276563085615635,
-0.06832081079483032,
-0.06891602277755737,
-0.09071224182844162,
-0.008843640796840191,
-0.0388236939907074,
0.05506789684295654,
-0.045797862112522125,
0.0025345056783407927,
-0.07819592952728271,
0.006185044068843126,
-0.08178073167800903,
0.047475144267082214,
-0.012844009324908257,
-0.07672717422246933,
0.01907370612025261,
0.008420808240771294,
0.029404418542981148,
0.02782183140516281,
-0.05211851745843887,
-0.04375116899609566,
-0.059393271803855896,
-0.025650255382061005,
0.06059037521481514,
0.038839902728796005,
0.015657171607017517,
-0.03531794995069504,
-0.028595775365829468,
0.04413527995347977,
-0.02137722074985504,
-0.0912218764424324,
-0.002787904115393758,
0.0429874025285244,
-0.007695612031966448,
-0.0331723615527153,
0.057784583419561386,
-0.030309122055768967,
0.07139135152101517,
0.05177989974617958,
0.041577111929655075,
0.03580787777900696,
0.02832930162549019,
0.03691111505031586,
-0.01914353482425213,
-0.028348306193947792,
-0.09538902342319489,
-0.012738754041492939,
-0.08867136389017105,
0.01173244696110487,
-0.03164758160710335,
0.0276755653321743,
0.0010829357197508216,
-0.02974187768995762,
-0.07806294411420822,
-0.010258836671710014,
0.09438585489988327,
0.031083157286047935,
-0.08759158104658127,
0.025729481130838394,
0.043448787182569504,
0.08222084492444992,
-0.057384345680475235,
-0.01788746379315853,
-0.06564117223024368,
0.05549946799874306,
0.02121039852499962,
0.06126611307263374,
0.10776924341917038,
-0.05991721525788307,
0.018697530031204224,
0.022416984662413597,
-0.09106961637735367,
0.04863424226641655,
-0.054974786937236786,
-0.017814025282859802,
0.06992079317569733,
-0.08183291554450989,
-0.022515861317515373,
0.047423213720321655,
0.06775778532028198,
-0.05590973421931267,
-0.05936259403824806,
-0.11997213214635849,
0.10297814756631851,
0.007501290645450354,
-0.0532275028526783,
0.015491525642573833,
0.008235147222876549,
0.06906069815158844,
0.0163112785667181,
-0.02952449768781662,
-0.05558309704065323,
-0.02584030292928219,
-0.03317628428339958,
0.035014811903238297,
0.026408270001411438,
0.06924140453338623,
0.01086717564612627,
0.03711192309856415,
-0.05101068690419197,
0.03198954463005066,
0.07363312691450119,
0.09296718239784241,
-0.029487324878573418,
0.038374483585357666,
0.029887598007917404,
0.037531930953264236,
-0.013300950638949871,
0.015237460844218731,
-0.0021640732884407043,
-0.013584444299340248,
0.07497091591358185,
0.0638049766421318,
0.12105026096105576,
-0.005456588231027126,
-0.0007427126984111965,
0.11440465599298477,
0.044337645173072815,
0.046849325299263,
-0.023592961952090263,
-0.05690525099635124,
-0.01988249085843563,
-0.031593117862939835,
0.04562986269593239,
0.03498772159218788,
-1.7626243916992496e-33,
0.00132586935069412,
-0.0027021081186830997,
0.016375605016946793,
-0.031724900007247925,
-0.04556262493133545,
-0.05312757194042206,
0.06138740852475166,
0.016607586294412613,
0.04098086804151535,
0.10372161865234375,
-0.07530363649129868,
0.08582418411970139,
0.08207256346940994,
0.05574581399559975,
-0.06406860798597336,
-0.024284278973937035,
-0.06377069652080536,
-0.05740850418806076,
-0.008045338094234467,
-0.008563654497265816,
0.0909179076552391,
-0.03598425164818764,
-0.040075331926345825,
0.007712073158472776,
-0.06369858980178833,
-0.032422684133052826,
-0.03996625170111656,
0.017021657899022102,
0.05905371904373169,
0.012842817232012749,
-0.02111176587641239,
0.051713116466999054,
-0.09541961550712585,
0.0059745595790445805,
0.04534606263041496,
0.054820917546749115,
0.02799840085208416,
0.004444736056029797,
0.020335085690021515,
-0.0455562025308609,
-0.09035273641347885,
-0.0356416180729866,
-0.016641154885292053,
0.03410748019814491,
0.05795663222670555,
0.029179399833083153,
-0.01772591844201088,
-0.026505032554268837,
0.07699116319417953,
-0.09149886667728424,
-0.04977279528975487,
-0.08375732600688934,
0.02759646251797676,
0.018306078389286995,
0.11008171737194061,
-0.012055845931172371,
0.02318929322063923,
0.0050415340811014175,
0.0012858599657192826,
0.0974523276090622,
-0.004290757235139608,
-0.00872969999909401,
0.02129012905061245,
-0.04964609071612358,
0.025148512795567513,
0.042002204805612564,
-0.06076904013752937,
0.001189677743241191,
0.019325584173202515,
-0.07699103653430939,
-0.009272455237805843,
0.05148402601480484,
-0.025427401065826416,
-0.030295362696051598,
0.010670734569430351,
-0.06847352534532547,
0.019140182062983513,
0.04389646649360657,
-0.0038988464511930943,
-0.014087064191699028,
0.0036589123774319887,
-0.12294778972864151,
-0.0669141635298729,
-0.03970177471637726,
-0.028815362602472305,
-0.009329441003501415,
-0.016423998400568962,
0.06962382793426514,
-0.062397949397563934,
-0.030860312283039093,
-0.06588532775640488,
0.04013194888830185,
0.15120285749435425,
-0.0689801499247551,
-0.08225829154253006,
-2.9990600430880108e-33,
-0.0014764182269573212,
-0.02637629769742489,
-0.021654577925801277,
0.018585262820124626,
0.01616961508989334,
0.0795188918709755,
0.03583512827754021,
0.09312751889228821,
-0.05355541780591011,
-0.08382229506969452,
-0.042909491807222366,
0.042496681213378906,
-0.007182581350207329,
0.031100720167160034,
0.029839184135198593,
-0.044705215841531754,
-0.07426095753908157,
-0.03259341046214104,
0.07488181442022324,
0.050324954092502594,
-0.04054704308509827,
-0.04847247898578644,
0.017635203897953033,
-0.005817515309900045,
0.004785268567502499,
0.022168511524796486,
0.007776379585266113,
-0.017720893025398254,
0.008916283957660198,
0.05694718286395073,
-0.005761617328971624,
-0.0035164339933544397,
0.03751291334629059,
0.1122298613190651,
0.004093145951628685,
-0.013748682104051113,
-0.032206807285547256,
-0.029224947094917297,
0.08749870210886002,
-0.06591229885816574,
-0.05833812057971954,
0.045259829610586166,
0.05010610818862915,
-0.055144138634204865,
0.023235561326146126,
0.09905103594064713,
-0.07222168892621994,
0.042314574122428894,
-0.02711447700858116,
-0.0010184634011238813,
-0.1138363778591156,
-0.002633054042235017,
-0.0620974525809288,
0.016942815855145454,
-0.01901024393737316,
0.07370801270008087,
0.05046072229743004,
0.01542851235717535,
0.02834651805460453,
-0.008019997738301754,
-0.08879942446947098,
-0.02928909845650196,
0.13036808371543884,
-0.08873924612998962,
-0.0003145712544210255,
-0.030376631766557693,
-0.0121862031519413,
0.007538800127804279,
0.0386585108935833,
-0.01611483283340931,
0.001130031538195908,
0.009392374195158482,
-0.030193835496902466,
-0.054279547184705734,
-0.05315478891134262,
-0.04114352911710739,
0.006667724344879389,
-0.008295921608805656,
-0.032565291970968246,
-0.00337180495262146,
0.013949991203844547,
0.10263539850711823,
0.055260300636291504,
0.0006973337731324136,
-0.06538473814725876,
0.036751989275217056,
0.01839870773255825,
-0.031277358531951904,
0.012021167203783989,
-0.05053497105836868,
0.12677939236164093,
0.016184348613023758,
0.05845428258180618,
0.09846707433462143,
0.00790715403854847,
-6.002927221970822e-8,
0.05586704984307289,
0.017329316586256027,
0.02096051163971424,
-0.010535607114434242,
0.012224267236888409,
0.03496595472097397,
0.041501179337501526,
-0.04345555230975151,
0.017660530284047127,
-0.07213534414768219,
-0.031053593382239342,
-0.013084430247545242,
0.030171338468790054,
-0.025457065552473068,
0.008552903309464455,
-0.012958417646586895,
0.013492225669324398,
-0.018822379410266876,
0.013207104988396168,
-0.008808232843875885,
-0.05207888409495354,
-0.015335575677454472,
-0.06725966930389404,
-0.044541943818330765,
0.05166112631559372,
0.05581268295645714,
-0.002147697377949953,
0.001648982404731214,
0.0471382811665535,
-0.08785877376794815,
-0.058900173753499985,
-0.020758813247084618,
0.00410529924556613,
0.13692426681518555,
-0.03981888294219971,
-0.00788753293454647,
-0.06525257229804993,
-0.02530999295413494,
-0.004100352060049772,
-0.041051484644412994,
-0.044490426778793335,
-0.03877876326441765,
0.008460110984742641,
-0.07435352355241776,
0.035531822592020035,
0.030768239870667458,
0.04260511323809624,
-0.004216454923152924,
-0.00572681101039052,
0.09022398293018341,
-0.07506900280714035,
-0.022478366270661354,
-0.02716895192861557,
0.034242503345012665,
0.021785793825984,
-0.00791335478425026,
-0.17050734162330627,
0.01629631221294403,
-0.019148362800478935,
-0.033113475888967514,
-0.014871622435748577,
0.0025567281991243362,
-0.1149771437048912,
0.03672189638018608
] |
1402.2890
|
Bei Yu
|
Bei Yu and Yen-Hung Lin and Gerard Luk-Pat and Duo Ding and Kevin
Lucas and David Z. Pan
|
A High-Performance Triple Patterning Layout Decomposer with Balanced
Density
| null | null | null | null |
cs.AR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Triple patterning lithography (TPL) has received more and more attentions
from industry as one of the leading candidate for 14nm/11nm nodes. In this
paper, we propose a high performance layout decomposer for TPL. Density
balancing is seamlessly integrated into all key steps in our TPL layout
decomposition, including density-balanced semi-definite programming (SDP),
density-based mapping, and density-balanced graph simplification. Our new TPL
decomposer can obtain high performance even compared to previous
state-of-the-art layout decomposers which are not balanced-density aware, e.g.,
by Yu et al. (ICCAD'11), Fang et al. (DAC'12), and Kuang et al. (DAC'13).
Furthermore, the balanced-density version of our decomposer can provide more
balanced density which leads to less edge placement error (EPE), while the
conflict and stitch numbers are still very comparable to our
non-balanced-density baseline.
|
[
{
"created": "Wed, 12 Feb 2014 16:43:46 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Yu",
"Bei",
""
],
[
"Lin",
"Yen-Hung",
""
],
[
"Luk-Pat",
"Gerard",
""
],
[
"Ding",
"Duo",
""
],
[
"Lucas",
"Kevin",
""
],
[
"Pan",
"David Z.",
""
]
] |
[
-0.05376787111163139,
0.03856396675109863,
0.0031082129571586847,
-0.09823910892009735,
-0.01760866306722164,
-0.0411410927772522,
-0.08361407369375229,
-0.052359603345394135,
-0.11645526438951492,
0.010264234617352486,
-0.050496891140937805,
0.05313139036297798,
-0.02374795265495777,
0.05699663236737251,
0.019143037497997284,
-0.01652493327856064,
0.059346552938222885,
0.067250095307827,
0.030490603297948837,
-0.01536185760051012,
-0.01845940575003624,
-0.04851610213518143,
-0.02489786595106125,
-0.03324747830629349,
0.04095648229122162,
0.00003641197690740228,
0.036255255341529846,
0.010805792175233364,
0.06414426863193512,
-0.052605606615543365,
0.13549292087554932,
0.06546444445848465,
-0.016084738075733185,
0.0024725457187741995,
-0.014343664050102234,
-0.008557701483368874,
-0.054756052792072296,
-0.03812975436449051,
0.006450531538575888,
-0.00808020681142807,
0.021199041977524757,
0.09014817327260971,
-0.034624066203832626,
-0.0009323703125119209,
0.048678092658519745,
-0.03414848819375038,
-0.06656267493963242,
-0.06039446219801903,
-0.01542220450937748,
-0.043919019401073456,
0.06805882602930069,
-0.032765939831733704,
-0.06877338886260986,
0.01315667200833559,
0.02547243796288967,
0.019664157181978226,
0.03083248808979988,
-0.036635223776102066,
0.0356600321829319,
0.036874573677778244,
0.040257152169942856,
-0.0027963677421212196,
0.042872607707977295,
-0.005620237439870834,
0.02212444692850113,
0.018637163564562798,
0.03450695425271988,
0.052231498062610626,
-0.0012844857992604375,
0.07378256320953369,
-0.014359308406710625,
0.0322495773434639,
0.03201496601104736,
-0.003976864740252495,
0.013547736220061779,
0.08624085783958435,
0.049002841114997864,
-0.06895836442708969,
-0.05125966668128967,
-0.024218693375587463,
-0.011243640445172787,
0.07421749085187912,
-0.003641594434157014,
0.038032762706279755,
-0.02596234530210495,
-0.11940065026283264,
-0.09182489663362503,
0.023556608706712723,
0.0004165220307186246,
0.024812590330839157,
0.014202830381691456,
0.11478933691978455,
-0.05048741400241852,
0.011898132972419262,
-0.043773356825113297,
0.04456008970737457,
0.026057740673422813,
-0.01769510842859745,
0.0019763961900025606,
0.011303862556815147,
0.005747656337916851,
0.007344523444771767,
0.056397128850221634,
-0.0701095312833786,
-0.010495626367628574,
-0.008131626062095165,
-0.009146316908299923,
0.05447249859571457,
-0.022408893331885338,
-0.03866510093212128,
0.054078929126262665,
0.035536859184503555,
0.019044701009988785,
0.07667244970798492,
-0.04833550751209259,
0.004299146588891745,
0.01900879666209221,
-0.024951662868261337,
0.0939502865076065,
0.04463329166173935,
-0.06730376183986664,
0.008083159103989601,
-0.10786163806915283,
-0.019555507227778435,
0.02910870499908924,
0.04050486162304878,
-0.02848629467189312,
1.780398784638644e-33,
0.06337870657444,
0.018560925498604774,
-0.035558976233005524,
0.026682918891310692,
0.10526703298091888,
0.013873396441340446,
-0.019132042303681374,
0.037189897149801254,
-0.03133471682667732,
0.039130356162786484,
-0.02210654877126217,
-0.047565482556819916,
-0.03460046276450157,
0.10956006497144699,
-0.009438414126634598,
-0.07215769588947296,
0.007587048690766096,
0.1368810534477234,
-0.09906496852636337,
-0.09368892014026642,
-0.06131524220108986,
-0.09557235985994339,
-0.019534623250365257,
-0.004311566706746817,
0.01285912748426199,
0.055480021983385086,
-0.007119295187294483,
0.015760177746415138,
-0.06274617463350296,
0.005148703698068857,
-0.08225986361503601,
0.04594996199011803,
0.0478011891245842,
0.04380763694643974,
0.037195250391960144,
-0.01094739232212305,
-0.0086143147200346,
-0.02418959140777588,
0.0004976880154572427,
-0.02350728027522564,
0.0009148113895207644,
0.12138620764017105,
0.03347181901335716,
-0.1077730804681778,
0.008669096045196056,
0.016512295231223106,
-0.0016372600803151727,
0.010148479603230953,
0.04592679813504219,
-0.002289443276822567,
0.03966226801276207,
0.022595979273319244,
0.05222291871905327,
0.04440021514892578,
0.06610412895679474,
-0.04174181446433067,
0.041612740606069565,
-0.03651303052902222,
0.07523740082979202,
0.12037277966737747,
-0.04340329021215439,
0.03963628038764,
-0.07809759676456451,
0.06064014136791229,
0.0037929441314190626,
0.03674403950572014,
0.03235280141234398,
-0.03899652883410454,
-0.049003105610609055,
0.018077393993735313,
-0.02859475463628769,
-0.002807692624628544,
0.06989435851573944,
0.0009448306518606842,
0.020280584692955017,
0.021000675857067108,
-0.014729287475347519,
0.023643916472792625,
-0.007454993203282356,
-0.008163764141499996,
-0.027552159503102303,
0.1444285809993744,
-0.03724202141165733,
-0.1274791955947876,
-0.036356355994939804,
-0.09298074245452881,
0.03168478608131409,
0.05471784994006157,
-0.04172229766845703,
-0.035672008991241455,
0.022381599992513657,
-0.07889615744352341,
0.058911096304655075,
-0.019929535686969757,
-0.008829383179545403,
-2.0249849962401914e-33,
-0.08347801864147186,
0.023314082995057106,
-0.034967515617609024,
-0.014097556471824646,
-0.06256342679262161,
-0.09287071228027344,
-0.010869153775274754,
-0.0727393850684166,
0.054669227451086044,
0.016088265925645828,
0.03782786801457405,
-0.04434593766927719,
0.00020454372861422598,
0.0023200223222374916,
0.013066674582660198,
0.016411881893873215,
-0.05509762838482857,
-0.010675554163753986,
-0.024542057886719704,
-0.0787949189543724,
0.08674643933773041,
0.011788474395871162,
-0.08786114305257797,
0.052770793437957764,
0.02822207100689411,
0.041009217500686646,
-0.02315804548561573,
0.03132191672921181,
0.06837941706180573,
0.06258635967969894,
-0.018842672929167747,
-0.0698210820555687,
0.06563001871109009,
0.027190497145056725,
0.05434608459472656,
0.0012099003652110696,
-0.051544491201639175,
0.06489886343479156,
0.008232156746089458,
-0.03521658852696419,
-0.013846161775290966,
-0.021609438583254814,
-0.11660178005695343,
0.021868623793125153,
-0.03742276132106781,
0.05823544040322304,
0.03974040225148201,
-0.045261234045028687,
0.04763764888048172,
0.02787855826318264,
-0.10919971019029617,
0.09728694707155228,
0.024281980469822884,
0.008682840503752232,
0.009493742138147354,
-0.04951489344239235,
-0.061971671879291534,
0.11271979659795761,
-0.027981936931610107,
-0.06018751114606857,
0.034299079328775406,
-0.04945758730173111,
0.08427892625331879,
-0.03344593942165375,
-0.008603899739682674,
-0.00027640489861369133,
0.019397491589188576,
-0.15651674568653107,
-0.06976126879453659,
0.09342069178819656,
-0.040324028581380844,
0.009518449194729328,
-0.0014450069284066558,
-0.008946731686592102,
-0.0017946145962923765,
-0.055742137134075165,
0.05073155090212822,
0.04907045513391495,
-0.019054368138313293,
0.08067864924669266,
-0.03128410130739212,
0.016886385157704353,
-0.04833807051181793,
0.07037631422281265,
0.022368213161826134,
0.0014640348963439465,
-0.11081238836050034,
0.002148450119420886,
0.032800231128931046,
0.007795926183462143,
0.03212978318333626,
0.012772349640727043,
0.009016712196171284,
-0.013906316831707954,
-0.006988367065787315,
-5.173418671233776e-8,
-0.021629299968481064,
-0.022982042282819748,
-0.0049989791586995125,
-0.049415867775678635,
-0.03822105750441551,
-0.06900109350681305,
0.11725208163261414,
0.1192149743437767,
-0.03225155547261238,
-0.019755423069000244,
0.13728514313697815,
-0.0792427808046341,
-0.07758299261331558,
-0.034324631094932556,
0.05447845533490181,
-0.019531289115548134,
-0.008181016892194748,
-0.032433293759822845,
-0.044209063053131104,
-0.023786013945937157,
-0.10778699070215225,
0.016764404252171516,
0.03454550355672836,
0.012987597845494747,
-0.021972358226776123,
-0.02206743136048317,
-0.03224041312932968,
0.029132425785064697,
0.07479172199964523,
-0.02226102724671364,
0.025699803605675697,
-0.015491904690861702,
0.08647840470075607,
0.11718587577342987,
0.010287069715559483,
0.0040657189674675465,
0.07174326479434967,
0.06875142455101013,
-0.04169017821550369,
0.029124852269887924,
-0.003088389290496707,
0.00439508818089962,
0.006723825354129076,
0.024600636214017868,
0.04097758233547211,
0.025377100333571434,
0.0426383800804615,
0.08668143302202225,
-0.029480893164873123,
-0.018669631332159042,
-0.04842110723257065,
-0.02639797143638134,
-0.05134494975209236,
-0.039014894515275955,
-0.029825828969478607,
0.03948270529508591,
-0.06273480504751205,
-0.0031974134035408497,
0.08376731723546982,
0.02011791057884693,
0.0016465592198073864,
-0.06511087715625763,
-0.031751248985528946,
-0.05501817539334297
] | null | null | null | null | null | null | null |
[
-0.05376787111163139,
0.03856396675109863,
0.0031082129571586847,
-0.09823910892009735,
-0.01760866306722164,
-0.0411410927772522,
-0.08361407369375229,
-0.052359603345394135,
-0.11645526438951492,
0.010264234617352486,
-0.050496891140937805,
0.05313139036297798,
-0.02374795265495777,
0.05699663236737251,
0.019143037497997284,
-0.01652493327856064,
0.059346552938222885,
0.067250095307827,
0.030490603297948837,
-0.01536185760051012,
-0.01845940575003624,
-0.04851610213518143,
-0.02489786595106125,
-0.03324747830629349,
0.04095648229122162,
0.00003641197690740228,
0.036255255341529846,
0.010805792175233364,
0.06414426863193512,
-0.052605606615543365,
0.13549292087554932,
0.06546444445848465,
-0.016084738075733185,
0.0024725457187741995,
-0.014343664050102234,
-0.008557701483368874,
-0.054756052792072296,
-0.03812975436449051,
0.006450531538575888,
-0.00808020681142807,
0.021199041977524757,
0.09014817327260971,
-0.034624066203832626,
-0.0009323703125119209,
0.048678092658519745,
-0.03414848819375038,
-0.06656267493963242,
-0.06039446219801903,
-0.01542220450937748,
-0.043919019401073456,
0.06805882602930069,
-0.032765939831733704,
-0.06877338886260986,
0.01315667200833559,
0.02547243796288967,
0.019664157181978226,
0.03083248808979988,
-0.036635223776102066,
0.0356600321829319,
0.036874573677778244,
0.040257152169942856,
-0.0027963677421212196,
0.042872607707977295,
-0.005620237439870834,
0.02212444692850113,
0.018637163564562798,
0.03450695425271988,
0.052231498062610626,
-0.0012844857992604375,
0.07378256320953369,
-0.014359308406710625,
0.0322495773434639,
0.03201496601104736,
-0.003976864740252495,
0.013547736220061779,
0.08624085783958435,
0.049002841114997864,
-0.06895836442708969,
-0.05125966668128967,
-0.024218693375587463,
-0.011243640445172787,
0.07421749085187912,
-0.003641594434157014,
0.038032762706279755,
-0.02596234530210495,
-0.11940065026283264,
-0.09182489663362503,
0.023556608706712723,
0.0004165220307186246,
0.024812590330839157,
0.014202830381691456,
0.11478933691978455,
-0.05048741400241852,
0.011898132972419262,
-0.043773356825113297,
0.04456008970737457,
0.026057740673422813,
-0.01769510842859745,
0.0019763961900025606,
0.011303862556815147,
0.005747656337916851,
0.007344523444771767,
0.056397128850221634,
-0.0701095312833786,
-0.010495626367628574,
-0.008131626062095165,
-0.009146316908299923,
0.05447249859571457,
-0.022408893331885338,
-0.03866510093212128,
0.054078929126262665,
0.035536859184503555,
0.019044701009988785,
0.07667244970798492,
-0.04833550751209259,
0.004299146588891745,
0.01900879666209221,
-0.024951662868261337,
0.0939502865076065,
0.04463329166173935,
-0.06730376183986664,
0.008083159103989601,
-0.10786163806915283,
-0.019555507227778435,
0.02910870499908924,
0.04050486162304878,
-0.02848629467189312,
1.780398784638644e-33,
0.06337870657444,
0.018560925498604774,
-0.035558976233005524,
0.026682918891310692,
0.10526703298091888,
0.013873396441340446,
-0.019132042303681374,
0.037189897149801254,
-0.03133471682667732,
0.039130356162786484,
-0.02210654877126217,
-0.047565482556819916,
-0.03460046276450157,
0.10956006497144699,
-0.009438414126634598,
-0.07215769588947296,
0.007587048690766096,
0.1368810534477234,
-0.09906496852636337,
-0.09368892014026642,
-0.06131524220108986,
-0.09557235985994339,
-0.019534623250365257,
-0.004311566706746817,
0.01285912748426199,
0.055480021983385086,
-0.007119295187294483,
0.015760177746415138,
-0.06274617463350296,
0.005148703698068857,
-0.08225986361503601,
0.04594996199011803,
0.0478011891245842,
0.04380763694643974,
0.037195250391960144,
-0.01094739232212305,
-0.0086143147200346,
-0.02418959140777588,
0.0004976880154572427,
-0.02350728027522564,
0.0009148113895207644,
0.12138620764017105,
0.03347181901335716,
-0.1077730804681778,
0.008669096045196056,
0.016512295231223106,
-0.0016372600803151727,
0.010148479603230953,
0.04592679813504219,
-0.002289443276822567,
0.03966226801276207,
0.022595979273319244,
0.05222291871905327,
0.04440021514892578,
0.06610412895679474,
-0.04174181446433067,
0.041612740606069565,
-0.03651303052902222,
0.07523740082979202,
0.12037277966737747,
-0.04340329021215439,
0.03963628038764,
-0.07809759676456451,
0.06064014136791229,
0.0037929441314190626,
0.03674403950572014,
0.03235280141234398,
-0.03899652883410454,
-0.049003105610609055,
0.018077393993735313,
-0.02859475463628769,
-0.002807692624628544,
0.06989435851573944,
0.0009448306518606842,
0.020280584692955017,
0.021000675857067108,
-0.014729287475347519,
0.023643916472792625,
-0.007454993203282356,
-0.008163764141499996,
-0.027552159503102303,
0.1444285809993744,
-0.03724202141165733,
-0.1274791955947876,
-0.036356355994939804,
-0.09298074245452881,
0.03168478608131409,
0.05471784994006157,
-0.04172229766845703,
-0.035672008991241455,
0.022381599992513657,
-0.07889615744352341,
0.058911096304655075,
-0.019929535686969757,
-0.008829383179545403,
-2.0249849962401914e-33,
-0.08347801864147186,
0.023314082995057106,
-0.034967515617609024,
-0.014097556471824646,
-0.06256342679262161,
-0.09287071228027344,
-0.010869153775274754,
-0.0727393850684166,
0.054669227451086044,
0.016088265925645828,
0.03782786801457405,
-0.04434593766927719,
0.00020454372861422598,
0.0023200223222374916,
0.013066674582660198,
0.016411881893873215,
-0.05509762838482857,
-0.010675554163753986,
-0.024542057886719704,
-0.0787949189543724,
0.08674643933773041,
0.011788474395871162,
-0.08786114305257797,
0.052770793437957764,
0.02822207100689411,
0.041009217500686646,
-0.02315804548561573,
0.03132191672921181,
0.06837941706180573,
0.06258635967969894,
-0.018842672929167747,
-0.0698210820555687,
0.06563001871109009,
0.027190497145056725,
0.05434608459472656,
0.0012099003652110696,
-0.051544491201639175,
0.06489886343479156,
0.008232156746089458,
-0.03521658852696419,
-0.013846161775290966,
-0.021609438583254814,
-0.11660178005695343,
0.021868623793125153,
-0.03742276132106781,
0.05823544040322304,
0.03974040225148201,
-0.045261234045028687,
0.04763764888048172,
0.02787855826318264,
-0.10919971019029617,
0.09728694707155228,
0.024281980469822884,
0.008682840503752232,
0.009493742138147354,
-0.04951489344239235,
-0.061971671879291534,
0.11271979659795761,
-0.027981936931610107,
-0.06018751114606857,
0.034299079328775406,
-0.04945758730173111,
0.08427892625331879,
-0.03344593942165375,
-0.008603899739682674,
-0.00027640489861369133,
0.019397491589188576,
-0.15651674568653107,
-0.06976126879453659,
0.09342069178819656,
-0.040324028581380844,
0.009518449194729328,
-0.0014450069284066558,
-0.008946731686592102,
-0.0017946145962923765,
-0.055742137134075165,
0.05073155090212822,
0.04907045513391495,
-0.019054368138313293,
0.08067864924669266,
-0.03128410130739212,
0.016886385157704353,
-0.04833807051181793,
0.07037631422281265,
0.022368213161826134,
0.0014640348963439465,
-0.11081238836050034,
0.002148450119420886,
0.032800231128931046,
0.007795926183462143,
0.03212978318333626,
0.012772349640727043,
0.009016712196171284,
-0.013906316831707954,
-0.006988367065787315,
-5.173418671233776e-8,
-0.021629299968481064,
-0.022982042282819748,
-0.0049989791586995125,
-0.049415867775678635,
-0.03822105750441551,
-0.06900109350681305,
0.11725208163261414,
0.1192149743437767,
-0.03225155547261238,
-0.019755423069000244,
0.13728514313697815,
-0.0792427808046341,
-0.07758299261331558,
-0.034324631094932556,
0.05447845533490181,
-0.019531289115548134,
-0.008181016892194748,
-0.032433293759822845,
-0.044209063053131104,
-0.023786013945937157,
-0.10778699070215225,
0.016764404252171516,
0.03454550355672836,
0.012987597845494747,
-0.021972358226776123,
-0.02206743136048317,
-0.03224041312932968,
0.029132425785064697,
0.07479172199964523,
-0.02226102724671364,
0.025699803605675697,
-0.015491904690861702,
0.08647840470075607,
0.11718587577342987,
0.010287069715559483,
0.0040657189674675465,
0.07174326479434967,
0.06875142455101013,
-0.04169017821550369,
0.029124852269887924,
-0.003088389290496707,
0.00439508818089962,
0.006723825354129076,
0.024600636214017868,
0.04097758233547211,
0.025377100333571434,
0.0426383800804615,
0.08668143302202225,
-0.029480893164873123,
-0.018669631332159042,
-0.04842110723257065,
-0.02639797143638134,
-0.05134494975209236,
-0.039014894515275955,
-0.029825828969478607,
0.03948270529508591,
-0.06273480504751205,
-0.0031974134035408497,
0.08376731723546982,
0.02011791057884693,
0.0016465592198073864,
-0.06511087715625763,
-0.031751248985528946,
-0.05501817539334297
] |
1402.2892
|
Thabet Slimani
|
Thabet Slimani, Amor Lazzez
|
Efficient Analysis of Pattern and Association Rule Mining Approaches
|
14 pages, 3 figures. arXiv admin note: text overlap with
arXiv:1312.4800; and with arXiv:1109.2427 by other authors
|
International Journal of Information Technology and Computer
Science (IJITCS), vol.6, no.3, pp.70-81, 2014
|
10.5815/ijitcs.2014.03.09
| null |
cs.DB
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The process of data mining produces various patterns from a given data
source. The most recognized data mining tasks are the process of discovering
frequent itemsets, frequent sequential patterns, frequent sequential rules and
frequent association rules. Numerous efficient algorithms have been proposed to
do the above processes. Frequent pattern mining has been a focused topic in
data mining research with a good number of references in literature and for
that reason an important progress has been made, varying from performant
algorithms for frequent itemset mining in transaction databases to complex
algorithms, such as sequential pattern mining, structured pattern mining,
correlation mining. Association Rule mining (ARM) is one of the utmost current
data mining techniques designed to group objects together from large databases
aiming to extract the interesting correlation and relation among huge amount of
data. In this article, we provide a brief review and analysis of the current
status of frequent pattern mining and discuss some promising research
directions. Additionally, this paper includes a comparative study between the
performance of the described approaches.
|
[
{
"created": "Wed, 12 Feb 2014 16:45:54 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Slimani",
"Thabet",
""
],
[
"Lazzez",
"Amor",
""
]
] |
[
-0.02249811962246895,
0.005050544627010822,
-0.030490417033433914,
-0.05581270158290863,
-0.04447847232222557,
0.009223864413797855,
0.09767631441354752,
-0.04241730645298958,
-0.03713209927082062,
0.0335264652967453,
0.010601604357361794,
0.04343371465802193,
0.07937827706336975,
0.00008992490620585158,
0.01603446528315544,
0.06404795497655869,
-0.015428620390594006,
-0.019535765051841736,
-0.01895761303603649,
-0.08523544669151306,
-0.053555238991975784,
-0.003168821334838867,
0.021504012867808342,
-0.04293372854590416,
-0.011832091957330704,
0.0859876424074173,
0.06950885057449341,
0.0009833964286372066,
0.008076334372162819,
0.01780673861503601,
-0.04711687192320824,
0.055967096239328384,
0.07829418033361435,
-0.022576145827770233,
-0.06727337092161179,
-0.0569586306810379,
0.0073664747178554535,
-0.006275320425629616,
0.005461172666400671,
0.023935845121741295,
0.005663173273205757,
-0.010411020368337631,
0.04473771154880524,
0.015458713285624981,
0.04877890273928642,
0.11945117264986038,
-0.023843146860599518,
0.029429001733660698,
-0.043104469776153564,
0.060874029994010925,
-0.04385778680443764,
-0.06322894245386124,
0.03246992081403732,
0.06329496204853058,
0.04496348649263382,
0.019390011206269264,
0.005031203385442495,
-0.028806384652853012,
-0.03283526003360748,
-0.010490508750081062,
0.054514557123184204,
-0.061170801520347595,
-0.038394100964069366,
-0.037133246660232544,
-0.05996772646903992,
0.0565679594874382,
-0.03590678423643112,
0.022221285849809647,
0.003967033699154854,
-0.02273351326584816,
-0.049696505069732666,
0.13723710179328918,
-0.08696919679641724,
0.06214037537574768,
0.010548309423029423,
0.04125611111521721,
-0.052254192531108856,
-0.03600876033306122,
0.00496296351775527,
-0.026134563609957695,
-0.14292408525943756,
0.025811638683080673,
-0.02979208342730999,
-0.029723621904850006,
0.0593741349875927,
-0.05386088043451309,
0.07188966125249863,
-0.05390609800815582,
-0.04672500491142273,
0.07642267644405365,
0.08114589005708694,
0.016033358871936798,
0.12171051651239395,
-0.07201603800058365,
-0.06454731523990631,
0.007875442504882812,
-0.02896527573466301,
-0.022405263036489487,
0.05449570715427399,
-0.04626708850264549,
-0.005156769882887602,
0.09809895604848862,
-0.05514601990580559,
0.05749259889125824,
-0.027642415836453438,
0.02378658577799797,
0.008506575599312782,
0.024366430938243866,
0.02073238231241703,
-0.033870335668325424,
-0.09632210433483124,
0.03354935720562935,
-0.010006067343056202,
-0.033049892634153366,
-0.027643296867609024,
-0.006670771166682243,
0.0024369405582547188,
0.005926815792918205,
-0.015581275336444378,
0.10623905062675476,
0.08453767001628876,
0.030755070969462395,
-0.0031067722011357546,
0.030109696090221405,
-0.014374672435224056,
0.03506508842110634,
-0.03954127058386803,
2.9671132290395304e-33,
0.031583912670612335,
-0.056502483785152435,
-0.049107715487480164,
-0.043361593037843704,
-0.02993169240653515,
-0.05483706668019295,
-0.08664891123771667,
-0.0035515353083610535,
0.029481057077646255,
0.044507432729005814,
-0.03274860978126526,
0.04193389415740967,
-0.01918940246105194,
0.057576753199100494,
0.04434829205274582,
-0.005362407304346561,
0.08247296512126923,
0.016101190820336342,
0.015804274007678032,
-0.08982139080762863,
0.04653797298669815,
-0.023176157847046852,
0.00017099054821301252,
0.03907313197851181,
0.014534560963511467,
0.03644109517335892,
0.07153724133968353,
0.04075009003281593,
0.09129133820533752,
0.017921846359968185,
0.10098916292190552,
-0.038698092103004456,
0.028617041185498238,
0.025819964706897736,
0.004185161087661982,
0.03714030236005783,
0.001427798648364842,
-0.01864689029753208,
0.032633762806653976,
0.020855287089943886,
-0.051289428025484085,
-0.04060057923197746,
-0.08700617402791977,
0.027283716946840286,
-0.037940964102745056,
0.02565830945968628,
-0.09285596758127213,
-0.03094223514199257,
0.013155246153473854,
0.00779302604496479,
0.06879063695669174,
-0.06729036569595337,
0.11465293914079666,
0.04029352590441704,
-0.060226283967494965,
0.03355170413851738,
-0.02496366761624813,
-0.04389771819114685,
0.023873308673501015,
0.060580622404813766,
-0.013488226570189,
0.019756201654672623,
0.009923815727233887,
0.06927496939897537,
-0.08334586024284363,
-0.018821626901626587,
0.012302263639867306,
-0.0060799261555075645,
-0.08202490210533142,
0.09569763392210007,
0.09225180000066757,
0.14089182019233704,
-0.07105686515569687,
-0.05187708139419556,
0.04141978919506073,
0.061970844864845276,
0.04436665028333664,
0.01516737975180149,
-0.10547550767660141,
-0.017447413876652718,
-0.07624538242816925,
0.018841920420527458,
0.10248364508152008,
-0.009075592271983624,
-0.03457014262676239,
0.06942407786846161,
0.029461028054356575,
-0.00575641542673111,
0.0033847277518361807,
-0.04524555802345276,
0.011803820729255676,
0.04101793095469475,
0.01715358905494213,
0.013441724702715874,
0.05654874071478844,
-2.809551802965234e-33,
0.028212277218699455,
0.007243975065648556,
0.059512414038181305,
-0.018249213695526123,
0.02317393384873867,
-0.02640606462955475,
-0.07707428187131882,
-0.025790708139538765,
0.04165299981832504,
-0.07318629324436188,
-0.029119502753019333,
-0.061864085495471954,
0.011691016145050526,
-0.0026188292540609837,
0.042681291699409485,
-0.008532674983143806,
-0.004171877633780241,
0.03311752900481224,
0.011808907613158226,
0.05749719217419624,
-0.058312706649303436,
-0.003992143087089062,
-0.0784565880894661,
-0.05341330170631409,
-0.021546240895986557,
-0.0729014053940773,
-0.0599307119846344,
-0.06875038146972656,
-0.025550365447998047,
0.027959758415818214,
-0.03497476875782013,
-0.02803853526711464,
0.07522691786289215,
-0.021142886951565742,
-0.022076187655329704,
-0.09416908770799637,
-0.0023278261069208384,
-0.0007037791074253619,
-0.016434233635663986,
-0.023526495322585106,
0.0062070367857813835,
0.060773398727178574,
0.02470237948000431,
-0.06355880200862885,
-0.005562963895499706,
-0.05992918089032173,
-0.02047206461429596,
0.03190647065639496,
0.04035196453332901,
-0.024666214361786842,
-0.056052882224321365,
-0.02415328472852707,
0.05178030952811241,
-0.015599955804646015,
0.03200796619057655,
0.14042121171951294,
0.036471571773290634,
-0.015546448528766632,
-0.028402412310242653,
0.01771940104663372,
-0.02718896046280861,
0.07725009322166443,
0.08345844596624374,
-0.010797347873449326,
0.09084390103816986,
0.006340172607451677,
-0.0025316732935607433,
-0.04867858439683914,
-0.06922539323568344,
-0.03009973280131817,
0.03480929508805275,
0.07905683666467667,
-0.08006446808576584,
0.06328050047159195,
0.0026355430018156767,
-0.04230751469731331,
0.06332773715257645,
-0.06917169690132141,
-0.018120096996426582,
0.08273109793663025,
0.027793588116765022,
-0.011210972443223,
-0.030075056478381157,
0.06465038657188416,
-0.086611807346344,
0.011967305094003677,
0.027974721044301987,
-0.0017445572884753346,
0.056099992245435715,
-0.01695982925593853,
-0.039774175733327866,
-0.027867786586284637,
-0.03183291479945183,
-0.04089188948273659,
-0.0157249104231596,
-3.6264086844539634e-8,
-0.07142970710992813,
-0.12378867715597153,
-0.002680556382983923,
0.02774149551987648,
0.043292514979839325,
0.026605185121297836,
0.015153652988374233,
0.10139233618974686,
-0.0702146515250206,
-0.07581748068332672,
-0.01686435379087925,
-0.0020595057867467403,
-0.09190398454666138,
-0.023931074887514114,
0.05447108671069145,
0.008450848050415516,
0.08791932463645935,
-0.06742090731859207,
-0.017631307244300842,
-0.016589932143688202,
0.032906800508499146,
-0.010976635850965977,
0.08695455640554428,
0.016158899292349815,
-0.014118818566203117,
-0.03256943076848984,
0.05627937614917755,
0.04231472685933113,
0.01109881978482008,
-0.05357985943555832,
0.002021171385422349,
-0.050408318638801575,
0.04346626251935959,
-0.14331978559494019,
0.0016710570780560374,
0.05481864511966705,
0.06915749609470367,
-0.05351775512099266,
-0.11068350821733475,
-0.08789558708667755,
-0.01609901338815689,
-0.03430165350437164,
0.06227973848581314,
0.04983646422624588,
0.03155314177274704,
0.014538249932229519,
0.01618274301290512,
-0.03326455503702164,
0.030527418479323387,
-0.03885050490498543,
-0.0365641824901104,
-0.03676017001271248,
0.09661788493394852,
0.008262764662504196,
-0.022094333544373512,
0.0708635076880455,
0.0557478666305542,
-0.07709216326475143,
0.03365807980298996,
-0.09268540889024734,
0.09978993237018585,
-0.02746746875345707,
0.04458445683121681,
0.06965896487236023
] | null | null | null | null | null | null | null |
[
-0.02249811962246895,
0.005050544627010822,
-0.030490417033433914,
-0.05581270158290863,
-0.04447847232222557,
0.009223864413797855,
0.09767631441354752,
-0.04241730645298958,
-0.03713209927082062,
0.0335264652967453,
0.010601604357361794,
0.04343371465802193,
0.07937827706336975,
0.00008992490620585158,
0.01603446528315544,
0.06404795497655869,
-0.015428620390594006,
-0.019535765051841736,
-0.01895761303603649,
-0.08523544669151306,
-0.053555238991975784,
-0.003168821334838867,
0.021504012867808342,
-0.04293372854590416,
-0.011832091957330704,
0.0859876424074173,
0.06950885057449341,
0.0009833964286372066,
0.008076334372162819,
0.01780673861503601,
-0.04711687192320824,
0.055967096239328384,
0.07829418033361435,
-0.022576145827770233,
-0.06727337092161179,
-0.0569586306810379,
0.0073664747178554535,
-0.006275320425629616,
0.005461172666400671,
0.023935845121741295,
0.005663173273205757,
-0.010411020368337631,
0.04473771154880524,
0.015458713285624981,
0.04877890273928642,
0.11945117264986038,
-0.023843146860599518,
0.029429001733660698,
-0.043104469776153564,
0.060874029994010925,
-0.04385778680443764,
-0.06322894245386124,
0.03246992081403732,
0.06329496204853058,
0.04496348649263382,
0.019390011206269264,
0.005031203385442495,
-0.028806384652853012,
-0.03283526003360748,
-0.010490508750081062,
0.054514557123184204,
-0.061170801520347595,
-0.038394100964069366,
-0.037133246660232544,
-0.05996772646903992,
0.0565679594874382,
-0.03590678423643112,
0.022221285849809647,
0.003967033699154854,
-0.02273351326584816,
-0.049696505069732666,
0.13723710179328918,
-0.08696919679641724,
0.06214037537574768,
0.010548309423029423,
0.04125611111521721,
-0.052254192531108856,
-0.03600876033306122,
0.00496296351775527,
-0.026134563609957695,
-0.14292408525943756,
0.025811638683080673,
-0.02979208342730999,
-0.029723621904850006,
0.0593741349875927,
-0.05386088043451309,
0.07188966125249863,
-0.05390609800815582,
-0.04672500491142273,
0.07642267644405365,
0.08114589005708694,
0.016033358871936798,
0.12171051651239395,
-0.07201603800058365,
-0.06454731523990631,
0.007875442504882812,
-0.02896527573466301,
-0.022405263036489487,
0.05449570715427399,
-0.04626708850264549,
-0.005156769882887602,
0.09809895604848862,
-0.05514601990580559,
0.05749259889125824,
-0.027642415836453438,
0.02378658577799797,
0.008506575599312782,
0.024366430938243866,
0.02073238231241703,
-0.033870335668325424,
-0.09632210433483124,
0.03354935720562935,
-0.010006067343056202,
-0.033049892634153366,
-0.027643296867609024,
-0.006670771166682243,
0.0024369405582547188,
0.005926815792918205,
-0.015581275336444378,
0.10623905062675476,
0.08453767001628876,
0.030755070969462395,
-0.0031067722011357546,
0.030109696090221405,
-0.014374672435224056,
0.03506508842110634,
-0.03954127058386803,
2.9671132290395304e-33,
0.031583912670612335,
-0.056502483785152435,
-0.049107715487480164,
-0.043361593037843704,
-0.02993169240653515,
-0.05483706668019295,
-0.08664891123771667,
-0.0035515353083610535,
0.029481057077646255,
0.044507432729005814,
-0.03274860978126526,
0.04193389415740967,
-0.01918940246105194,
0.057576753199100494,
0.04434829205274582,
-0.005362407304346561,
0.08247296512126923,
0.016101190820336342,
0.015804274007678032,
-0.08982139080762863,
0.04653797298669815,
-0.023176157847046852,
0.00017099054821301252,
0.03907313197851181,
0.014534560963511467,
0.03644109517335892,
0.07153724133968353,
0.04075009003281593,
0.09129133820533752,
0.017921846359968185,
0.10098916292190552,
-0.038698092103004456,
0.028617041185498238,
0.025819964706897736,
0.004185161087661982,
0.03714030236005783,
0.001427798648364842,
-0.01864689029753208,
0.032633762806653976,
0.020855287089943886,
-0.051289428025484085,
-0.04060057923197746,
-0.08700617402791977,
0.027283716946840286,
-0.037940964102745056,
0.02565830945968628,
-0.09285596758127213,
-0.03094223514199257,
0.013155246153473854,
0.00779302604496479,
0.06879063695669174,
-0.06729036569595337,
0.11465293914079666,
0.04029352590441704,
-0.060226283967494965,
0.03355170413851738,
-0.02496366761624813,
-0.04389771819114685,
0.023873308673501015,
0.060580622404813766,
-0.013488226570189,
0.019756201654672623,
0.009923815727233887,
0.06927496939897537,
-0.08334586024284363,
-0.018821626901626587,
0.012302263639867306,
-0.0060799261555075645,
-0.08202490210533142,
0.09569763392210007,
0.09225180000066757,
0.14089182019233704,
-0.07105686515569687,
-0.05187708139419556,
0.04141978919506073,
0.061970844864845276,
0.04436665028333664,
0.01516737975180149,
-0.10547550767660141,
-0.017447413876652718,
-0.07624538242816925,
0.018841920420527458,
0.10248364508152008,
-0.009075592271983624,
-0.03457014262676239,
0.06942407786846161,
0.029461028054356575,
-0.00575641542673111,
0.0033847277518361807,
-0.04524555802345276,
0.011803820729255676,
0.04101793095469475,
0.01715358905494213,
0.013441724702715874,
0.05654874071478844,
-2.809551802965234e-33,
0.028212277218699455,
0.007243975065648556,
0.059512414038181305,
-0.018249213695526123,
0.02317393384873867,
-0.02640606462955475,
-0.07707428187131882,
-0.025790708139538765,
0.04165299981832504,
-0.07318629324436188,
-0.029119502753019333,
-0.061864085495471954,
0.011691016145050526,
-0.0026188292540609837,
0.042681291699409485,
-0.008532674983143806,
-0.004171877633780241,
0.03311752900481224,
0.011808907613158226,
0.05749719217419624,
-0.058312706649303436,
-0.003992143087089062,
-0.0784565880894661,
-0.05341330170631409,
-0.021546240895986557,
-0.0729014053940773,
-0.0599307119846344,
-0.06875038146972656,
-0.025550365447998047,
0.027959758415818214,
-0.03497476875782013,
-0.02803853526711464,
0.07522691786289215,
-0.021142886951565742,
-0.022076187655329704,
-0.09416908770799637,
-0.0023278261069208384,
-0.0007037791074253619,
-0.016434233635663986,
-0.023526495322585106,
0.0062070367857813835,
0.060773398727178574,
0.02470237948000431,
-0.06355880200862885,
-0.005562963895499706,
-0.05992918089032173,
-0.02047206461429596,
0.03190647065639496,
0.04035196453332901,
-0.024666214361786842,
-0.056052882224321365,
-0.02415328472852707,
0.05178030952811241,
-0.015599955804646015,
0.03200796619057655,
0.14042121171951294,
0.036471571773290634,
-0.015546448528766632,
-0.028402412310242653,
0.01771940104663372,
-0.02718896046280861,
0.07725009322166443,
0.08345844596624374,
-0.010797347873449326,
0.09084390103816986,
0.006340172607451677,
-0.0025316732935607433,
-0.04867858439683914,
-0.06922539323568344,
-0.03009973280131817,
0.03480929508805275,
0.07905683666467667,
-0.08006446808576584,
0.06328050047159195,
0.0026355430018156767,
-0.04230751469731331,
0.06332773715257645,
-0.06917169690132141,
-0.018120096996426582,
0.08273109793663025,
0.027793588116765022,
-0.011210972443223,
-0.030075056478381157,
0.06465038657188416,
-0.086611807346344,
0.011967305094003677,
0.027974721044301987,
-0.0017445572884753346,
0.056099992245435715,
-0.01695982925593853,
-0.039774175733327866,
-0.027867786586284637,
-0.03183291479945183,
-0.04089188948273659,
-0.0157249104231596,
-3.6264086844539634e-8,
-0.07142970710992813,
-0.12378867715597153,
-0.002680556382983923,
0.02774149551987648,
0.043292514979839325,
0.026605185121297836,
0.015153652988374233,
0.10139233618974686,
-0.0702146515250206,
-0.07581748068332672,
-0.01686435379087925,
-0.0020595057867467403,
-0.09190398454666138,
-0.023931074887514114,
0.05447108671069145,
0.008450848050415516,
0.08791932463645935,
-0.06742090731859207,
-0.017631307244300842,
-0.016589932143688202,
0.032906800508499146,
-0.010976635850965977,
0.08695455640554428,
0.016158899292349815,
-0.014118818566203117,
-0.03256943076848984,
0.05627937614917755,
0.04231472685933113,
0.01109881978482008,
-0.05357985943555832,
0.002021171385422349,
-0.050408318638801575,
0.04346626251935959,
-0.14331978559494019,
0.0016710570780560374,
0.05481864511966705,
0.06915749609470367,
-0.05351775512099266,
-0.11068350821733475,
-0.08789558708667755,
-0.01609901338815689,
-0.03430165350437164,
0.06227973848581314,
0.04983646422624588,
0.03155314177274704,
0.014538249932229519,
0.01618274301290512,
-0.03326455503702164,
0.030527418479323387,
-0.03885050490498543,
-0.0365641824901104,
-0.03676017001271248,
0.09661788493394852,
0.008262764662504196,
-0.022094333544373512,
0.0708635076880455,
0.0557478666305542,
-0.07709216326475143,
0.03365807980298996,
-0.09268540889024734,
0.09978993237018585,
-0.02746746875345707,
0.04458445683121681,
0.06965896487236023
] |
1402.2894
|
Bei Yu
|
Bei Yu and Sheqin Dong and Statoshi Goto
|
Multi-Voltage and Level-Shifter Assignment Driven Floorplanning
| null | null |
10.1109/ASICON.2009.5351219
| null |
cs.AR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As technology scales, low power design has become a significant requirement
for SOC designers. Among the existing techniques, Multiple-Supply Voltage (MSV)
is a popular and effective method to reduce both dynamic and static power.
Besides, level shifters consume area and delay, and should be considered during
floorplanning. In this paper, we present a new floorplanning system, called
MVLSAF, to solve multi-voltage and level shifter assignment problem. We use a
convex cost network flow algorithm to assign arbitrary number of legal working
voltages and a minimum cost flow algorithm to handle level-shifter assignment.
The experimental results show MVLSAF is effective.
|
[
{
"created": "Wed, 12 Feb 2014 16:55:10 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Yu",
"Bei",
""
],
[
"Dong",
"Sheqin",
""
],
[
"Goto",
"Statoshi",
""
]
] |
[
-0.007404720410704613,
0.06669964641332626,
-0.010093145072460175,
-0.036268822848796844,
-0.03417113423347473,
-0.0015707577113062143,
-0.028976252302527428,
0.0256398543715477,
0.05073011666536331,
0.00333450292237103,
-0.05612901970744133,
-0.019778786227107048,
0.04369994252920151,
0.04643775150179863,
-0.006551970727741718,
0.015273110009729862,
0.036479298025369644,
0.11261908710002899,
0.07309722900390625,
-0.011450857855379581,
0.10990894585847855,
0.011058804579079151,
-0.0007788685616105795,
-0.026256637647747993,
0.04597770795226097,
-0.011918971315026283,
-0.00972316786646843,
0.006900744047015905,
0.06392153352499008,
-0.04815152287483215,
-0.03429101034998894,
0.03077017143368721,
0.05919770896434784,
-0.000821744033601135,
-0.025758694857358932,
-0.012947192415595055,
-0.0025964442174881697,
0.006717823911458254,
-0.02796502783894539,
0.018658865243196487,
-0.03403664752840996,
0.034825168550014496,
-0.01803295500576496,
-0.026090193539857864,
-0.007519576698541641,
0.020314130932092667,
-0.03286511451005936,
-0.023227063938975334,
0.01436378713697195,
0.0006163464859127998,
0.004822638817131519,
-0.043640658259391785,
-0.020153293386101723,
0.034613002091646194,
-0.07526492327451706,
0.028754090890288353,
0.08305318653583527,
-0.04345956817269325,
0.040856197476387024,
0.004881293047219515,
0.0021286397241055965,
-0.008753142319619656,
0.055578358471393585,
-0.034762345254421234,
-0.07669258117675781,
-0.002916166093200445,
-0.010829268023371696,
-0.026948215439915657,
-0.018740711733698845,
-0.05542493611574173,
-0.07125279307365417,
-0.01374494843184948,
0.07903578132390976,
0.005628181621432304,
-0.03721410408616066,
-0.0036489053163677454,
0.06026776134967804,
-0.0033705567475408316,
0.032142870128154755,
0.031160274520516396,
-0.003991208970546722,
0.01348317600786686,
-0.11900471895933151,
0.006736062467098236,
0.03945104032754898,
-0.05347374081611633,
-0.035549346357584,
-0.029245881363749504,
0.03456076234579086,
-0.013198230415582657,
0.021458279341459274,
0.03432611748576164,
0.07807167619466782,
0.05293600633740425,
0.055053915828466415,
-0.04772493988275528,
-0.065714530646801,
-0.07181322574615479,
0.020206360146403313,
0.020532112568616867,
-0.059362031519412994,
-0.0032844773959368467,
0.05194413661956787,
-0.023041071370244026,
0.012149776332080364,
0.03708662465214729,
-0.015244401060044765,
-0.03828147426247597,
-0.086491659283638,
-0.08928348869085312,
0.021771248430013657,
0.0740315392613411,
-0.03299729526042938,
0.03191646561026573,
0.012436465360224247,
0.0408131368458271,
0.028314197435975075,
-0.04403375834226608,
-0.0072535136714577675,
0.009305372834205627,
-0.06271356344223022,
-0.07245635241270065,
-0.0007390907849185169,
0.042022090405225754,
0.026584381237626076,
-0.0004283935122657567,
0.020147155970335007,
1.630256748298952e-33,
-0.03814293444156647,
0.05503496900200844,
-0.007399087306112051,
0.06193061172962189,
0.09600822627544403,
0.016732636839151382,
0.040869150310754776,
-0.01918465457856655,
0.026004135608673096,
-0.04697810113430023,
0.02009064145386219,
-0.05313311144709587,
0.011242115870118141,
0.051935065537691116,
0.041850678622722626,
-0.05689284950494766,
0.06536099314689636,
-0.046382807195186615,
0.11058011651039124,
-0.013556289486587048,
0.04567938670516014,
-0.03811771795153618,
-0.008723068982362747,
-0.03129428252577782,
0.03298062086105347,
0.03531980141997337,
-0.01507091149687767,
-0.08883551508188248,
-0.0101038021966815,
-0.02517705224454403,
-0.043342623859643936,
0.005323589779436588,
0.06377564370632172,
0.04000630974769592,
-0.06662168353796005,
0.0417042002081871,
0.053959283977746964,
-0.05858437716960907,
0.06313716620206833,
0.06276790797710419,
-0.03668485954403877,
-0.04218897596001625,
0.013331832364201546,
-0.051843129098415375,
-0.017003297805786133,
0.022583628073334694,
-0.01256349217146635,
0.04913647100329399,
-0.02867545746266842,
0.038868486881256104,
-0.07442735880613327,
0.0848623737692833,
0.05114155262708664,
-0.008493614383041859,
-0.00021907292830292135,
-0.04959186166524887,
-0.019969400018453598,
-0.03814999386668205,
0.0857931450009346,
0.13259901106357574,
-0.10510735958814621,
-0.034657057374715805,
-0.02126273699104786,
0.05926081910729408,
0.007904176600277424,
-0.07743357121944427,
0.027873072773218155,
-0.07704351097345352,
-0.028324069455266,
0.024387959390878677,
-0.021729152649641037,
-0.05434700474143028,
0.036860935389995575,
-0.018253110349178314,
-0.06883986294269562,
0.00019724945013877004,
-0.0914047509431839,
0.053451672196388245,
0.015557769685983658,
-0.0909247174859047,
-0.03812012821435928,
0.12485890835523605,
0.09404674172401428,
0.027577515691518784,
0.1763266921043396,
0.03577393665909767,
-0.056286320090293884,
0.022880319505929947,
-0.03783775866031647,
-0.025980640202760696,
-0.010277165099978447,
0.010109036229550838,
0.07530874013900757,
0.009822090156376362,
0.05929473787546158,
-3.0905087281361845e-34,
-0.02031351998448372,
0.04264241084456444,
-0.03199898824095726,
0.04155855253338814,
0.005245482083410025,
-0.013273544609546661,
-0.010178476572036743,
-0.04285337030887604,
0.08485313504934311,
0.07905053347349167,
-0.08844760060310364,
0.016115473583340645,
-0.03160083666443825,
0.0001556200732011348,
0.0033648621756583452,
-0.007006689440459013,
-0.03938319534063339,
-0.04147563502192497,
0.06143203750252724,
-0.030358852818608284,
0.03655001148581505,
0.09339681267738342,
-0.11238430440425873,
-0.054572295397520065,
0.0527157299220562,
0.0029718081932514906,
-0.05542950704693794,
0.06704556941986084,
-0.04748157784342766,
0.08729386329650879,
-0.09936065226793289,
-0.01082718838006258,
0.038836102932691574,
-0.01990237459540367,
0.1084686666727066,
0.003628380363807082,
-0.10247274488210678,
0.09066621959209442,
0.03002757579088211,
0.08721686154603958,
-0.02580704726278782,
-0.06175892800092697,
-0.031903333961963654,
-0.042059026658535004,
-0.017457235604524612,
0.009826240129768848,
-0.018175916746258736,
-0.025715596973896027,
0.06183451786637306,
-0.06445752084255219,
-0.07132105529308319,
0.039165619760751724,
0.01687147282063961,
0.03928728401660919,
0.008394468575716019,
-0.03297761455178261,
-0.09478604793548584,
0.1224425658583641,
0.04784919694066048,
-0.03981321305036545,
0.08702291548252106,
0.0028749657794833183,
0.03365613520145416,
-0.0038602964486926794,
0.06571585685014725,
0.010060759261250496,
0.05511517450213432,
-0.08204589039087296,
-0.07804425060749054,
0.019813936203718185,
0.002117962809279561,
-0.02473335899412632,
0.1234382912516594,
-0.06663487106561661,
0.0007416142034344375,
-0.08564358204603195,
0.024171018972992897,
0.0677037239074707,
0.04283897206187248,
-0.009592820890247822,
-0.03149525076150894,
-0.04411998763680458,
-0.10861615091562271,
-0.0180111862719059,
-0.11056435853242874,
0.0017416209448128939,
0.02078615128993988,
0.015658609569072723,
0.07168974727392197,
0.01656615175306797,
-0.0796070545911789,
-0.06493087857961655,
0.025103649124503136,
-0.08474869281053543,
-0.0741008073091507,
-4.4947878308221334e-8,
0.012085079215466976,
0.06587297469377518,
-0.019673602655529976,
-0.019958123564720154,
-0.03639520704746246,
0.00001394880746374838,
0.016897916793823242,
0.009744317270815372,
0.007400061469525099,
0.07470784336328506,
0.061898473650217056,
-0.06280002743005753,
0.11958704143762589,
-0.012054390273988247,
-0.03832446038722992,
0.07492494583129883,
-0.01575496979057789,
0.11655732989311218,
0.006849031429737806,
-0.005480408202856779,
-0.05031733587384224,
0.04252441227436066,
0.038169097155332565,
0.01655282825231552,
0.09599222987890244,
-0.02653583325445652,
0.024424130097031593,
-0.006914660334587097,
0.08613291382789612,
-0.03123445250093937,
-0.0650145411491394,
0.00753361638635397,
0.08798711001873016,
0.0734778493642807,
0.07284985482692719,
0.036794450134038925,
-0.007500731851905584,
0.05509786307811737,
0.041695479303598404,
-0.05485406145453453,
-0.008604306727647781,
-0.12213164567947388,
-0.02905750460922718,
-0.027159983292222023,
0.0021997871808707714,
-0.014132972806692123,
-0.07399455457925797,
0.03021840937435627,
0.04270465299487114,
0.06855519115924835,
-0.054781194776296616,
0.10701899975538254,
-0.022376446053385735,
0.013579820282757282,
-0.004015727899968624,
-0.019751524552702904,
0.020956389605998993,
-0.029286200180649757,
0.09568183124065399,
-0.018178949132561684,
-0.012465309351682663,
-0.041707009077072144,
-0.07348862290382385,
-0.030704084783792496
] | null | null | null | null | null | null | null |
[
-0.007404720410704613,
0.06669964641332626,
-0.010093145072460175,
-0.036268822848796844,
-0.03417113423347473,
-0.0015707577113062143,
-0.028976252302527428,
0.0256398543715477,
0.05073011666536331,
0.00333450292237103,
-0.05612901970744133,
-0.019778786227107048,
0.04369994252920151,
0.04643775150179863,
-0.006551970727741718,
0.015273110009729862,
0.036479298025369644,
0.11261908710002899,
0.07309722900390625,
-0.011450857855379581,
0.10990894585847855,
0.011058804579079151,
-0.0007788685616105795,
-0.026256637647747993,
0.04597770795226097,
-0.011918971315026283,
-0.00972316786646843,
0.006900744047015905,
0.06392153352499008,
-0.04815152287483215,
-0.03429101034998894,
0.03077017143368721,
0.05919770896434784,
-0.000821744033601135,
-0.025758694857358932,
-0.012947192415595055,
-0.0025964442174881697,
0.006717823911458254,
-0.02796502783894539,
0.018658865243196487,
-0.03403664752840996,
0.034825168550014496,
-0.01803295500576496,
-0.026090193539857864,
-0.007519576698541641,
0.020314130932092667,
-0.03286511451005936,
-0.023227063938975334,
0.01436378713697195,
0.0006163464859127998,
0.004822638817131519,
-0.043640658259391785,
-0.020153293386101723,
0.034613002091646194,
-0.07526492327451706,
0.028754090890288353,
0.08305318653583527,
-0.04345956817269325,
0.040856197476387024,
0.004881293047219515,
0.0021286397241055965,
-0.008753142319619656,
0.055578358471393585,
-0.034762345254421234,
-0.07669258117675781,
-0.002916166093200445,
-0.010829268023371696,
-0.026948215439915657,
-0.018740711733698845,
-0.05542493611574173,
-0.07125279307365417,
-0.01374494843184948,
0.07903578132390976,
0.005628181621432304,
-0.03721410408616066,
-0.0036489053163677454,
0.06026776134967804,
-0.0033705567475408316,
0.032142870128154755,
0.031160274520516396,
-0.003991208970546722,
0.01348317600786686,
-0.11900471895933151,
0.006736062467098236,
0.03945104032754898,
-0.05347374081611633,
-0.035549346357584,
-0.029245881363749504,
0.03456076234579086,
-0.013198230415582657,
0.021458279341459274,
0.03432611748576164,
0.07807167619466782,
0.05293600633740425,
0.055053915828466415,
-0.04772493988275528,
-0.065714530646801,
-0.07181322574615479,
0.020206360146403313,
0.020532112568616867,
-0.059362031519412994,
-0.0032844773959368467,
0.05194413661956787,
-0.023041071370244026,
0.012149776332080364,
0.03708662465214729,
-0.015244401060044765,
-0.03828147426247597,
-0.086491659283638,
-0.08928348869085312,
0.021771248430013657,
0.0740315392613411,
-0.03299729526042938,
0.03191646561026573,
0.012436465360224247,
0.0408131368458271,
0.028314197435975075,
-0.04403375834226608,
-0.0072535136714577675,
0.009305372834205627,
-0.06271356344223022,
-0.07245635241270065,
-0.0007390907849185169,
0.042022090405225754,
0.026584381237626076,
-0.0004283935122657567,
0.020147155970335007,
1.630256748298952e-33,
-0.03814293444156647,
0.05503496900200844,
-0.007399087306112051,
0.06193061172962189,
0.09600822627544403,
0.016732636839151382,
0.040869150310754776,
-0.01918465457856655,
0.026004135608673096,
-0.04697810113430023,
0.02009064145386219,
-0.05313311144709587,
0.011242115870118141,
0.051935065537691116,
0.041850678622722626,
-0.05689284950494766,
0.06536099314689636,
-0.046382807195186615,
0.11058011651039124,
-0.013556289486587048,
0.04567938670516014,
-0.03811771795153618,
-0.008723068982362747,
-0.03129428252577782,
0.03298062086105347,
0.03531980141997337,
-0.01507091149687767,
-0.08883551508188248,
-0.0101038021966815,
-0.02517705224454403,
-0.043342623859643936,
0.005323589779436588,
0.06377564370632172,
0.04000630974769592,
-0.06662168353796005,
0.0417042002081871,
0.053959283977746964,
-0.05858437716960907,
0.06313716620206833,
0.06276790797710419,
-0.03668485954403877,
-0.04218897596001625,
0.013331832364201546,
-0.051843129098415375,
-0.017003297805786133,
0.022583628073334694,
-0.01256349217146635,
0.04913647100329399,
-0.02867545746266842,
0.038868486881256104,
-0.07442735880613327,
0.0848623737692833,
0.05114155262708664,
-0.008493614383041859,
-0.00021907292830292135,
-0.04959186166524887,
-0.019969400018453598,
-0.03814999386668205,
0.0857931450009346,
0.13259901106357574,
-0.10510735958814621,
-0.034657057374715805,
-0.02126273699104786,
0.05926081910729408,
0.007904176600277424,
-0.07743357121944427,
0.027873072773218155,
-0.07704351097345352,
-0.028324069455266,
0.024387959390878677,
-0.021729152649641037,
-0.05434700474143028,
0.036860935389995575,
-0.018253110349178314,
-0.06883986294269562,
0.00019724945013877004,
-0.0914047509431839,
0.053451672196388245,
0.015557769685983658,
-0.0909247174859047,
-0.03812012821435928,
0.12485890835523605,
0.09404674172401428,
0.027577515691518784,
0.1763266921043396,
0.03577393665909767,
-0.056286320090293884,
0.022880319505929947,
-0.03783775866031647,
-0.025980640202760696,
-0.010277165099978447,
0.010109036229550838,
0.07530874013900757,
0.009822090156376362,
0.05929473787546158,
-3.0905087281361845e-34,
-0.02031351998448372,
0.04264241084456444,
-0.03199898824095726,
0.04155855253338814,
0.005245482083410025,
-0.013273544609546661,
-0.010178476572036743,
-0.04285337030887604,
0.08485313504934311,
0.07905053347349167,
-0.08844760060310364,
0.016115473583340645,
-0.03160083666443825,
0.0001556200732011348,
0.0033648621756583452,
-0.007006689440459013,
-0.03938319534063339,
-0.04147563502192497,
0.06143203750252724,
-0.030358852818608284,
0.03655001148581505,
0.09339681267738342,
-0.11238430440425873,
-0.054572295397520065,
0.0527157299220562,
0.0029718081932514906,
-0.05542950704693794,
0.06704556941986084,
-0.04748157784342766,
0.08729386329650879,
-0.09936065226793289,
-0.01082718838006258,
0.038836102932691574,
-0.01990237459540367,
0.1084686666727066,
0.003628380363807082,
-0.10247274488210678,
0.09066621959209442,
0.03002757579088211,
0.08721686154603958,
-0.02580704726278782,
-0.06175892800092697,
-0.031903333961963654,
-0.042059026658535004,
-0.017457235604524612,
0.009826240129768848,
-0.018175916746258736,
-0.025715596973896027,
0.06183451786637306,
-0.06445752084255219,
-0.07132105529308319,
0.039165619760751724,
0.01687147282063961,
0.03928728401660919,
0.008394468575716019,
-0.03297761455178261,
-0.09478604793548584,
0.1224425658583641,
0.04784919694066048,
-0.03981321305036545,
0.08702291548252106,
0.0028749657794833183,
0.03365613520145416,
-0.0038602964486926794,
0.06571585685014725,
0.010060759261250496,
0.05511517450213432,
-0.08204589039087296,
-0.07804425060749054,
0.019813936203718185,
0.002117962809279561,
-0.02473335899412632,
0.1234382912516594,
-0.06663487106561661,
0.0007416142034344375,
-0.08564358204603195,
0.024171018972992897,
0.0677037239074707,
0.04283897206187248,
-0.009592820890247822,
-0.03149525076150894,
-0.04411998763680458,
-0.10861615091562271,
-0.0180111862719059,
-0.11056435853242874,
0.0017416209448128939,
0.02078615128993988,
0.015658609569072723,
0.07168974727392197,
0.01656615175306797,
-0.0796070545911789,
-0.06493087857961655,
0.025103649124503136,
-0.08474869281053543,
-0.0741008073091507,
-4.4947878308221334e-8,
0.012085079215466976,
0.06587297469377518,
-0.019673602655529976,
-0.019958123564720154,
-0.03639520704746246,
0.00001394880746374838,
0.016897916793823242,
0.009744317270815372,
0.007400061469525099,
0.07470784336328506,
0.061898473650217056,
-0.06280002743005753,
0.11958704143762589,
-0.012054390273988247,
-0.03832446038722992,
0.07492494583129883,
-0.01575496979057789,
0.11655732989311218,
0.006849031429737806,
-0.005480408202856779,
-0.05031733587384224,
0.04252441227436066,
0.038169097155332565,
0.01655282825231552,
0.09599222987890244,
-0.02653583325445652,
0.024424130097031593,
-0.006914660334587097,
0.08613291382789612,
-0.03123445250093937,
-0.0650145411491394,
0.00753361638635397,
0.08798711001873016,
0.0734778493642807,
0.07284985482692719,
0.036794450134038925,
-0.007500731851905584,
0.05509786307811737,
0.041695479303598404,
-0.05485406145453453,
-0.008604306727647781,
-0.12213164567947388,
-0.02905750460922718,
-0.027159983292222023,
0.0021997871808707714,
-0.014132972806692123,
-0.07399455457925797,
0.03021840937435627,
0.04270465299487114,
0.06855519115924835,
-0.054781194776296616,
0.10701899975538254,
-0.022376446053385735,
0.013579820282757282,
-0.004015727899968624,
-0.019751524552702904,
0.020956389605998993,
-0.029286200180649757,
0.09568183124065399,
-0.018178949132561684,
-0.012465309351682663,
-0.041707009077072144,
-0.07348862290382385,
-0.030704084783792496
] |
1402.2899
|
Bei Yu
|
Duo Ding and Bei Yu and David Z. Pan
|
GLOW: A global router for low-power thermal-reliable interconnect
synthesis using photonic wavelength multiplexing
| null | null |
10.1109/ASPDAC.2012.6165031
| null |
cs.AR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we examine the integration potential and explore the design
space of low power thermal reliable on-chip interconnect synthesis featuring
nanophotonics Wavelength Division Multiplexing (WDM). With the recent
advancements, it is foreseen that nanophotonics holds the promise to be
employed for future on-chip data signalling due to its unique power efficiency,
signal delay and huge multiplexing potential. However, there are major
challenges to address before feasible on-chip integration could be reached. In
this paper, we present GLOW, a hybrid global router to provide low power
opto-electronic interconnect synthesis under the considerations of thermal
reliability and various physical design constraints such as optical power,
delay and signal quality. GLOW is evaluated with testing cases derived from
ISPD07-08 global routing benchmarks. Compared with a greedy approach, GLOW
demonstrates around 23%-50% of total optical power reduction, revealing great
potential of on-chip WDM interconnect synthesis.
|
[
{
"created": "Wed, 12 Feb 2014 17:03:22 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Ding",
"Duo",
""
],
[
"Yu",
"Bei",
""
],
[
"Pan",
"David Z.",
""
]
] |
[
0.014943086542189121,
0.006708752363920212,
-0.008728088811039925,
0.0978860855102539,
0.04368438571691513,
-0.08595585823059082,
0.037996385246515274,
-0.020348258316516876,
-0.057566218078136444,
0.03949373587965965,
0.03225609287619591,
0.027439044788479805,
-0.008393416181206703,
0.011241034604609013,
0.04636058583855629,
0.1620497852563858,
0.04943336918950081,
-0.03560132533311844,
0.04153274744749069,
-0.017072495073080063,
0.04837995022535324,
-0.06406731903553009,
0.008471273817121983,
0.0013117061462253332,
-0.02958003059029579,
-0.01898774690926075,
0.08519057929515839,
0.018043456599116325,
-0.031387683004140854,
0.08671452850103378,
-0.005531673319637775,
-0.0020333516877144575,
-0.04934890940785408,
0.014158106409013271,
-0.019514262676239014,
-0.027118317782878876,
0.07740241289138794,
-0.049000199884176254,
0.06377208977937698,
0.0015089773805812001,
0.010182546451687813,
-0.0351564884185791,
-0.016507048159837723,
0.008245199918746948,
-0.017329378053545952,
-0.051721181720495224,
-0.02662237361073494,
-0.012048626318573952,
-0.052204638719558716,
-0.06258823722600937,
0.09214738756418228,
-0.00776798278093338,
-0.04572659730911255,
-0.003257900010794401,
-0.007596214767545462,
0.16236011683940887,
-0.06555813550949097,
0.029226701706647873,
-0.03245338052511215,
0.011975222267210484,
-0.000834967358969152,
-0.07733092457056046,
0.07043402642011642,
-0.002257108921185136,
-0.017779983580112457,
-0.009013212285935879,
0.1043350026011467,
0.02322438918054104,
-0.05290667340159416,
-0.003574233502149582,
-0.0335979200899601,
-0.01994575560092926,
0.07208363711833954,
0.062286440283060074,
-0.028526058420538902,
0.02347281575202942,
0.1359960436820984,
0.058069340884685516,
-0.01440771296620369,
-0.042587775737047195,
0.028952784836292267,
0.0464128814637661,
0.004837223794311285,
0.02656911127269268,
0.09467209875583649,
-0.018438046798110008,
0.01968476176261902,
0.035374708473682404,
-0.07626830786466599,
-0.12247443944215775,
-0.09156470000743866,
-0.0015165138756856322,
0.0008817968773655593,
-0.020135922357439995,
0.006267244927585125,
0.008663107641041279,
-0.008891521021723747,
-0.09126441925764084,
0.0036610057577490807,
-0.025893699377775192,
-0.04220004379749298,
-0.031309083104133606,
0.004837386775761843,
0.0038633812218904495,
-0.04966244101524353,
0.014497212134301662,
0.04017474874854088,
0.034043870866298676,
-0.011320050805807114,
0.052785683423280716,
-0.055093053728342056,
0.009469845332205296,
0.025627925992012024,
0.0040325685404241085,
-0.05460082367062569,
0.05753374472260475,
-0.09253570437431335,
0.00461511081084609,
0.051586125046014786,
-0.030575547367334366,
-0.10181634873151779,
0.010145723819732666,
0.009690828621387482,
0.10655846446752548,
-0.10490681231021881,
0.001084900926798582,
0.03352310508489609,
2.266273946187682e-33,
-0.011196336708962917,
0.08490230143070221,
-0.041025012731552124,
0.024734288454055786,
0.010668043047189713,
-0.039382897317409515,
0.09041807055473328,
0.007659226190298796,
-0.11012988537549973,
-0.037047527730464935,
-0.002488871803507209,
-0.040946297347545624,
-0.033356353640556335,
0.0875144824385643,
0.09438394755125046,
-0.026256266981363297,
-0.009712815284729004,
0.012465890496969223,
0.056522924453020096,
0.04248342663049698,
-0.021362654864788055,
-0.01776193641126156,
0.03334080055356026,
0.025418251752853394,
0.056661199778318405,
0.01172038447111845,
-0.010321477428078651,
-0.01176892314106226,
0.014725293964147568,
-0.05103747174143791,
-0.0354728177189827,
0.03034801594913006,
0.06733451038599014,
0.008525694720447063,
0.022961270064115524,
0.003849680069833994,
-0.05041457340121269,
-0.031247559934854507,
0.05151374265551567,
0.056482113897800446,
-0.057057011872529984,
0.041380081325769424,
0.010783085599541664,
-0.04116097465157509,
-0.06666482239961624,
0.030569780617952347,
-0.040703605860471725,
0.01034710742533207,
-0.026630284264683723,
0.013757724314928055,
-0.0680524930357933,
-0.0140751414000988,
0.043699558824300766,
0.05785173550248146,
0.053305819630622864,
-0.11245164275169373,
-0.022663239389657974,
-0.03217567875981331,
0.12722651660442352,
0.047410767525434494,
-0.0622432678937912,
-0.10911774635314941,
-0.05830907076597214,
0.03191177919507027,
-0.0364089161157608,
0.06743305921554565,
-0.0009300113888457417,
-0.003031233325600624,
-0.056623633950948715,
-0.03511117026209831,
0.013237941078841686,
0.049556758254766464,
0.039340998977422714,
-0.08251882344484329,
0.08123327791690826,
0.04489501565694809,
-0.044258758425712585,
-0.055688418447971344,
-0.036153797060251236,
0.0016553960740566254,
0.0035619563423097134,
-0.0001725442270981148,
0.021810831502079964,
0.035698339343070984,
0.04374708980321884,
0.012032462283968925,
-0.01533541176468134,
0.008169217966496944,
-0.10146869719028473,
0.05596890300512314,
-0.014730210416018963,
-0.10046136379241943,
0.0914885625243187,
0.0030415114015340805,
-0.015403825789690018,
-1.3404114327968542e-33,
-0.0006612535798922181,
0.02577679604291916,
-0.010006863623857498,
0.06519084423780441,
-0.007477215025573969,
-0.015574059449136257,
0.0704699158668518,
-0.03589964285492897,
0.01954112946987152,
-0.021061845123767853,
0.014226025901734829,
0.010578099638223648,
0.03877947852015495,
-0.027748368680477142,
-0.025051191449165344,
-0.00031533429864794016,
-0.05944303423166275,
-0.04774933308362961,
0.12459302693605423,
-0.05833020061254501,
0.12281160801649094,
-0.0019852069672197104,
-0.058981623500585556,
-0.11709865182638168,
-0.08433012664318085,
0.0714564248919487,
0.027737852185964584,
-0.015352160669863224,
-0.07164574414491653,
0.06117931008338928,
-0.031149525195360184,
0.030171869322657585,
0.07144049555063248,
0.01939070224761963,
0.12501396238803864,
0.07509152591228485,
-0.0085756815969944,
0.027767712250351906,
-0.010729899629950523,
0.016828563064336777,
0.03926365450024605,
-0.013245342299342155,
-0.045449160039424896,
0.0048859077505767345,
0.0026962056290358305,
0.01682133600115776,
-0.07734063267707825,
-0.07153715938329697,
-0.052862465381622314,
0.009489445947110653,
0.013454101979732513,
0.015950823202729225,
-0.03630324453115463,
0.019140977412462234,
0.023491567000746727,
-0.1256357580423355,
-0.0425117090344429,
0.11521048843860626,
-0.04332570731639862,
0.015432330779731274,
0.07383730262517929,
0.03799869865179062,
0.08566415309906006,
0.03211449831724167,
-0.010138357058167458,
-0.03550170734524727,
0.015054580755531788,
0.01856427639722824,
0.04142913967370987,
0.003371766535565257,
-0.04494019225239754,
-0.03750808537006378,
0.018648330122232437,
-0.0033215342555195093,
0.07821682095527649,
-0.03599129617214203,
0.04488435015082359,
-0.00680316798388958,
-0.026354724541306496,
0.09150117635726929,
-0.035868339240550995,
-0.010430286638438702,
0.0361541286110878,
-0.053011808544397354,
0.01292580459266901,
0.002929947106167674,
0.06917118281126022,
0.03399856761097908,
-0.010547718964517117,
-0.0011659436859190464,
-0.020184075459837914,
0.031215565279126167,
0.033036619424819946,
-0.05835447832942009,
-0.04141507297754288,
-4.414986065626181e-8,
0.011215008795261383,
-0.021244384348392487,
-0.013331728056073189,
0.006611955352127552,
0.03492290899157524,
-0.06178098917007446,
0.07314138114452362,
-0.04209444299340248,
-0.004164781887084246,
0.000990480650216341,
0.09412060678005219,
-0.08782827109098434,
0.04718279466032982,
-0.004729746840894222,
0.006378254387527704,
-0.06091263145208359,
-0.06794362515211105,
-0.08736366778612137,
0.006366765592247248,
-0.022585084661841393,
-0.1328708678483963,
0.04964132606983185,
-0.00912797637283802,
-0.0027403903659433126,
0.03125464543700218,
-0.032147858291864395,
0.0067429086193442345,
0.004228781443089247,
0.0017039711819961667,
-0.03086002729833126,
-0.06773938983678818,
-0.013494295999407768,
0.0456065759062767,
0.0834786668419838,
-0.03441857174038887,
-0.013889591209590435,
0.03701716661453247,
0.09780142456293106,
0.09402909129858017,
-0.030605817213654518,
-0.03661877661943436,
0.006893623154610395,
-0.0008796670590527356,
0.021920520812273026,
0.02041677199304104,
-0.060831595212221146,
-0.06589962542057037,
0.02437904104590416,
-0.009047895669937134,
0.09082392603158951,
-0.017520079389214516,
0.07946833968162537,
-0.05414848029613495,
-0.06588055938482285,
-0.08154148608446121,
-0.09056834131479263,
-0.02521200105547905,
0.11229431629180908,
-0.006403631065040827,
0.02315705083310604,
0.004164776299148798,
-0.11163600534200668,
-0.030869044363498688,
0.02964557148516178
] | null | null | null | null | null | null | null |
[
0.014943086542189121,
0.006708752363920212,
-0.008728088811039925,
0.0978860855102539,
0.04368438571691513,
-0.08595585823059082,
0.037996385246515274,
-0.020348258316516876,
-0.057566218078136444,
0.03949373587965965,
0.03225609287619591,
0.027439044788479805,
-0.008393416181206703,
0.011241034604609013,
0.04636058583855629,
0.1620497852563858,
0.04943336918950081,
-0.03560132533311844,
0.04153274744749069,
-0.017072495073080063,
0.04837995022535324,
-0.06406731903553009,
0.008471273817121983,
0.0013117061462253332,
-0.02958003059029579,
-0.01898774690926075,
0.08519057929515839,
0.018043456599116325,
-0.031387683004140854,
0.08671452850103378,
-0.005531673319637775,
-0.0020333516877144575,
-0.04934890940785408,
0.014158106409013271,
-0.019514262676239014,
-0.027118317782878876,
0.07740241289138794,
-0.049000199884176254,
0.06377208977937698,
0.0015089773805812001,
0.010182546451687813,
-0.0351564884185791,
-0.016507048159837723,
0.008245199918746948,
-0.017329378053545952,
-0.051721181720495224,
-0.02662237361073494,
-0.012048626318573952,
-0.052204638719558716,
-0.06258823722600937,
0.09214738756418228,
-0.00776798278093338,
-0.04572659730911255,
-0.003257900010794401,
-0.007596214767545462,
0.16236011683940887,
-0.06555813550949097,
0.029226701706647873,
-0.03245338052511215,
0.011975222267210484,
-0.000834967358969152,
-0.07733092457056046,
0.07043402642011642,
-0.002257108921185136,
-0.017779983580112457,
-0.009013212285935879,
0.1043350026011467,
0.02322438918054104,
-0.05290667340159416,
-0.003574233502149582,
-0.0335979200899601,
-0.01994575560092926,
0.07208363711833954,
0.062286440283060074,
-0.028526058420538902,
0.02347281575202942,
0.1359960436820984,
0.058069340884685516,
-0.01440771296620369,
-0.042587775737047195,
0.028952784836292267,
0.0464128814637661,
0.004837223794311285,
0.02656911127269268,
0.09467209875583649,
-0.018438046798110008,
0.01968476176261902,
0.035374708473682404,
-0.07626830786466599,
-0.12247443944215775,
-0.09156470000743866,
-0.0015165138756856322,
0.0008817968773655593,
-0.020135922357439995,
0.006267244927585125,
0.008663107641041279,
-0.008891521021723747,
-0.09126441925764084,
0.0036610057577490807,
-0.025893699377775192,
-0.04220004379749298,
-0.031309083104133606,
0.004837386775761843,
0.0038633812218904495,
-0.04966244101524353,
0.014497212134301662,
0.04017474874854088,
0.034043870866298676,
-0.011320050805807114,
0.052785683423280716,
-0.055093053728342056,
0.009469845332205296,
0.025627925992012024,
0.0040325685404241085,
-0.05460082367062569,
0.05753374472260475,
-0.09253570437431335,
0.00461511081084609,
0.051586125046014786,
-0.030575547367334366,
-0.10181634873151779,
0.010145723819732666,
0.009690828621387482,
0.10655846446752548,
-0.10490681231021881,
0.001084900926798582,
0.03352310508489609,
2.266273946187682e-33,
-0.011196336708962917,
0.08490230143070221,
-0.041025012731552124,
0.024734288454055786,
0.010668043047189713,
-0.039382897317409515,
0.09041807055473328,
0.007659226190298796,
-0.11012988537549973,
-0.037047527730464935,
-0.002488871803507209,
-0.040946297347545624,
-0.033356353640556335,
0.0875144824385643,
0.09438394755125046,
-0.026256266981363297,
-0.009712815284729004,
0.012465890496969223,
0.056522924453020096,
0.04248342663049698,
-0.021362654864788055,
-0.01776193641126156,
0.03334080055356026,
0.025418251752853394,
0.056661199778318405,
0.01172038447111845,
-0.010321477428078651,
-0.01176892314106226,
0.014725293964147568,
-0.05103747174143791,
-0.0354728177189827,
0.03034801594913006,
0.06733451038599014,
0.008525694720447063,
0.022961270064115524,
0.003849680069833994,
-0.05041457340121269,
-0.031247559934854507,
0.05151374265551567,
0.056482113897800446,
-0.057057011872529984,
0.041380081325769424,
0.010783085599541664,
-0.04116097465157509,
-0.06666482239961624,
0.030569780617952347,
-0.040703605860471725,
0.01034710742533207,
-0.026630284264683723,
0.013757724314928055,
-0.0680524930357933,
-0.0140751414000988,
0.043699558824300766,
0.05785173550248146,
0.053305819630622864,
-0.11245164275169373,
-0.022663239389657974,
-0.03217567875981331,
0.12722651660442352,
0.047410767525434494,
-0.0622432678937912,
-0.10911774635314941,
-0.05830907076597214,
0.03191177919507027,
-0.0364089161157608,
0.06743305921554565,
-0.0009300113888457417,
-0.003031233325600624,
-0.056623633950948715,
-0.03511117026209831,
0.013237941078841686,
0.049556758254766464,
0.039340998977422714,
-0.08251882344484329,
0.08123327791690826,
0.04489501565694809,
-0.044258758425712585,
-0.055688418447971344,
-0.036153797060251236,
0.0016553960740566254,
0.0035619563423097134,
-0.0001725442270981148,
0.021810831502079964,
0.035698339343070984,
0.04374708980321884,
0.012032462283968925,
-0.01533541176468134,
0.008169217966496944,
-0.10146869719028473,
0.05596890300512314,
-0.014730210416018963,
-0.10046136379241943,
0.0914885625243187,
0.0030415114015340805,
-0.015403825789690018,
-1.3404114327968542e-33,
-0.0006612535798922181,
0.02577679604291916,
-0.010006863623857498,
0.06519084423780441,
-0.007477215025573969,
-0.015574059449136257,
0.0704699158668518,
-0.03589964285492897,
0.01954112946987152,
-0.021061845123767853,
0.014226025901734829,
0.010578099638223648,
0.03877947852015495,
-0.027748368680477142,
-0.025051191449165344,
-0.00031533429864794016,
-0.05944303423166275,
-0.04774933308362961,
0.12459302693605423,
-0.05833020061254501,
0.12281160801649094,
-0.0019852069672197104,
-0.058981623500585556,
-0.11709865182638168,
-0.08433012664318085,
0.0714564248919487,
0.027737852185964584,
-0.015352160669863224,
-0.07164574414491653,
0.06117931008338928,
-0.031149525195360184,
0.030171869322657585,
0.07144049555063248,
0.01939070224761963,
0.12501396238803864,
0.07509152591228485,
-0.0085756815969944,
0.027767712250351906,
-0.010729899629950523,
0.016828563064336777,
0.03926365450024605,
-0.013245342299342155,
-0.045449160039424896,
0.0048859077505767345,
0.0026962056290358305,
0.01682133600115776,
-0.07734063267707825,
-0.07153715938329697,
-0.052862465381622314,
0.009489445947110653,
0.013454101979732513,
0.015950823202729225,
-0.03630324453115463,
0.019140977412462234,
0.023491567000746727,
-0.1256357580423355,
-0.0425117090344429,
0.11521048843860626,
-0.04332570731639862,
0.015432330779731274,
0.07383730262517929,
0.03799869865179062,
0.08566415309906006,
0.03211449831724167,
-0.010138357058167458,
-0.03550170734524727,
0.015054580755531788,
0.01856427639722824,
0.04142913967370987,
0.003371766535565257,
-0.04494019225239754,
-0.03750808537006378,
0.018648330122232437,
-0.0033215342555195093,
0.07821682095527649,
-0.03599129617214203,
0.04488435015082359,
-0.00680316798388958,
-0.026354724541306496,
0.09150117635726929,
-0.035868339240550995,
-0.010430286638438702,
0.0361541286110878,
-0.053011808544397354,
0.01292580459266901,
0.002929947106167674,
0.06917118281126022,
0.03399856761097908,
-0.010547718964517117,
-0.0011659436859190464,
-0.020184075459837914,
0.031215565279126167,
0.033036619424819946,
-0.05835447832942009,
-0.04141507297754288,
-4.414986065626181e-8,
0.011215008795261383,
-0.021244384348392487,
-0.013331728056073189,
0.006611955352127552,
0.03492290899157524,
-0.06178098917007446,
0.07314138114452362,
-0.04209444299340248,
-0.004164781887084246,
0.000990480650216341,
0.09412060678005219,
-0.08782827109098434,
0.04718279466032982,
-0.004729746840894222,
0.006378254387527704,
-0.06091263145208359,
-0.06794362515211105,
-0.08736366778612137,
0.006366765592247248,
-0.022585084661841393,
-0.1328708678483963,
0.04964132606983185,
-0.00912797637283802,
-0.0027403903659433126,
0.03125464543700218,
-0.032147858291864395,
0.0067429086193442345,
0.004228781443089247,
0.0017039711819961667,
-0.03086002729833126,
-0.06773938983678818,
-0.013494295999407768,
0.0456065759062767,
0.0834786668419838,
-0.03441857174038887,
-0.013889591209590435,
0.03701716661453247,
0.09780142456293106,
0.09402909129858017,
-0.030605817213654518,
-0.03661877661943436,
0.006893623154610395,
-0.0008796670590527356,
0.021920520812273026,
0.02041677199304104,
-0.060831595212221146,
-0.06589962542057037,
0.02437904104590416,
-0.009047895669937134,
0.09082392603158951,
-0.017520079389214516,
0.07946833968162537,
-0.05414848029613495,
-0.06588055938482285,
-0.08154148608446121,
-0.09056834131479263,
-0.02521200105547905,
0.11229431629180908,
-0.006403631065040827,
0.02315705083310604,
0.004164776299148798,
-0.11163600534200668,
-0.030869044363498688,
0.02964557148516178
] |
1402.2902
|
Deliang Fan Deliang Fan
|
Deliang Fan, Mrigank Sharad, Abhronil Sengupta, Kaushik Roy
|
Hierarchical Temporal Memory Based on Spin-Neurons and Resistive Memory
for Energy-Efficient Brain-Inspired Computing
|
this work was submitted to IEEE Transactions on Neural Networks and
Learning Systems. It is under review now
| null |
10.1109/TNNLS.2015.2462731
| null |
cs.ET cond-mat.dis-nn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Hierarchical temporal memory (HTM) tries to mimic the computing in
cerebral-neocortex. It identifies spatial and temporal patterns in the input
for making inferences. This may require large number of computationally
expensive tasks like, dot-product evaluations. Nano-devices that can provide
direct mapping for such primitives are of great interest. In this work we show
that the computing blocks for HTM can be mapped using low-voltage,
fast-switching, magneto-metallic spin-neurons combined with emerging resistive
cross-bar network (RCN). Results show possibility of more than 200x lower
energy as compared to 45nm CMOS ASIC design
|
[
{
"created": "Mon, 10 Feb 2014 19:50:32 GMT",
"version": "v1"
}
] |
2016-11-17
|
[
[
"Fan",
"Deliang",
""
],
[
"Sharad",
"Mrigank",
""
],
[
"Sengupta",
"Abhronil",
""
],
[
"Roy",
"Kaushik",
""
]
] |
[
-0.008336042985320091,
-0.02781256102025509,
0.001633593812584877,
-0.005551028531044722,
-0.056589264422655106,
0.017693137750029564,
-0.047436006367206573,
-0.011517356149852276,
-0.02620857208967209,
-0.019597651436924934,
-0.009449610486626625,
-0.009753136895596981,
-0.03664335608482361,
0.028484556823968887,
0.007126635871827602,
0.07610389590263367,
0.0017199920257553458,
0.04859786853194237,
0.07856222242116928,
0.0011628346983343363,
0.07307567447423935,
-0.0171783696860075,
0.05086303502321243,
0.010038360022008419,
-0.04159459099173546,
0.10139533877372742,
0.052545178681612015,
-0.06331568211317062,
-0.02622603438794613,
-0.01959056220948696,
0.08864974975585938,
0.025229455903172493,
-0.04645143076777458,
0.008122066967189312,
-0.0909331813454628,
0.04295739158987999,
-0.06257528811693192,
-0.03581502288579941,
0.006809133104979992,
-0.0995180532336235,
0.027304353192448616,
0.0638478621840477,
0.0341634601354599,
0.010584380477666855,
0.043660566210746765,
0.005385849624872208,
0.14625462889671326,
-0.08332391083240509,
0.011121824383735657,
0.002690553432330489,
0.007842444814741611,
0.03327547013759613,
-0.00020199907885398716,
0.01452944427728653,
-0.033967480063438416,
0.14906352758407593,
0.02089790068566799,
-0.005044576246291399,
-0.04131334647536278,
-0.0005965539603494108,
-0.024025002494454384,
-0.044158075004816055,
0.026749804615974426,
-0.03666594251990318,
0.05779017508029938,
0.031627774238586426,
0.020285239443182945,
0.009676124900579453,
0.029871195554733276,
-0.003241373924538493,
0.06239035353064537,
-0.004848015494644642,
0.0007217111997306347,
-0.061220988631248474,
0.027386635541915894,
0.03057735785841942,
0.08634398877620697,
-0.017950281500816345,
0.11942023783922195,
-0.11041299998760223,
-0.02600606344640255,
0.009797929786145687,
0.006419176701456308,
-0.011290659196674824,
0.13428865373134613,
0.07208618521690369,
-0.01955384761095047,
0.09512106329202652,
-0.09622371941804886,
-0.01680132746696472,
0.0024254631716758013,
-0.04686560481786728,
0.038457635790109634,
-0.045766714960336685,
-0.015535849146544933,
-0.12751778960227966,
0.08876644819974899,
0.033262938261032104,
0.0019020605832338333,
-0.0194417592138052,
0.05960551276803017,
0.035342756658792496,
-0.014117656275629997,
0.030677491798996925,
0.004729935899376869,
-0.020140690729022026,
0.06304000318050385,
-0.007632138207554817,
-0.026134926825761795,
0.02147728018462658,
-0.010909288190305233,
0.07828878611326218,
-0.04388679563999176,
0.05164804309606552,
0.011515842750668526,
-0.05242423713207245,
-0.0032179846893996,
0.009618225507438183,
0.12651942670345306,
0.09158246964216232,
-0.07041497528553009,
0.006818471010774374,
-0.11234904825687408,
-0.024520419538021088,
-0.07947149872779846,
-0.025155149400234222,
-0.0318153016269207,
-1.2972377264732001e-36,
-0.06205146387219429,
-0.011215169914066792,
-0.025309968739748,
-0.028726685792207718,
0.016001086682081223,
0.019842594861984253,
0.016925210133194923,
-0.04275444149971008,
0.03678536415100098,
0.034688934683799744,
-0.019661156460642815,
0.012140246108174324,
0.006930530536919832,
0.11698725074529648,
0.040238577872514725,
-0.08085555583238602,
-0.028148533776402473,
-0.04382222518324852,
0.05025496706366539,
-0.11321321874856949,
-0.004662542603909969,
0.034544773399829865,
-0.016261953860521317,
0.011369556188583374,
0.00455264700576663,
-0.040357641875743866,
-0.08673112839460373,
0.0009070675587281585,
0.0002921141858678311,
-0.007001890335232019,
-0.04627187177538872,
0.04029569774866104,
-0.04775148630142212,
-0.0677037313580513,
0.06728076934814453,
-0.011916281655430794,
0.08708402514457703,
-0.062237851321697235,
0.0450330451130867,
-0.04749474301934242,
-0.008478164672851562,
-0.033985789865255356,
0.008474545553326607,
-0.01303265243768692,
-0.08090152591466904,
-0.08753857016563416,
0.035301048308610916,
0.03341926261782646,
0.0038628762122243643,
-0.052562814205884933,
-0.05311420559883118,
-0.03312432020902634,
-0.03691082447767258,
-0.09330672025680542,
0.08856666833162308,
-0.08235029131174088,
-0.05993274599313736,
0.06491026282310486,
0.10780726373195648,
0.10278324782848358,
0.05298363044857979,
-0.010199562646448612,
-0.013319001533091068,
0.03971313685178757,
-0.01955319195985794,
0.06384219229221344,
0.031978387385606766,
0.024569014087319374,
0.04852434620261192,
0.013859334401786327,
0.05248899757862091,
0.04715433344244957,
-0.006078457459807396,
-0.09939723461866379,
-0.0004069711721967906,
0.043925050646066666,
0.038436684757471085,
-0.042278729379177094,
-0.005016467068344355,
-0.030283236876130104,
0.03399837389588356,
-0.07803663611412048,
-0.038989268243312836,
0.02489992417395115,
0.05511645972728729,
0.034917715936899185,
0.03079056367278099,
-0.04549290984869003,
-0.09394015371799469,
-0.018546560779213905,
-0.0047844089567661285,
-0.08128228038549423,
0.06990806758403778,
-0.04985887184739113,
-0.08048568665981293,
-2.5218216426106472e-33,
-0.09280997514724731,
-0.012898069806396961,
0.05977141112089157,
0.008702556602656841,
0.010714635252952576,
-0.0009332043118774891,
-0.012813580222427845,
-0.03202526271343231,
-0.07605307549238205,
0.0403633788228035,
-0.005806679837405682,
-0.04860302433371544,
0.027315491810441017,
-0.04527147486805916,
0.05086078122258186,
0.05605313181877136,
-0.05322552099823952,
-0.03569449856877327,
0.12199187278747559,
-0.044171981513500214,
0.03696693107485771,
0.13485091924667358,
-0.02600967139005661,
0.04353415593504906,
-0.04633880406618118,
-0.024686863645911217,
-0.043585002422332764,
-0.019142094999551773,
0.0317721925675869,
0.06808656454086304,
-0.0810561403632164,
0.007796488702297211,
0.012063518166542053,
0.009334709495306015,
-0.011996021494269371,
0.042869921773672104,
0.019480979070067406,
-0.06011467054486275,
-0.017625626176595688,
-0.05979883298277855,
0.04136813059449196,
0.007582681719213724,
-0.0032378174364566803,
-0.037311241030693054,
0.01871638000011444,
0.04825359210371971,
-0.11326336115598679,
0.07683847844600677,
-0.00643737381324172,
0.0915461927652359,
0.006821689195930958,
0.0050718034617602825,
-0.05611217021942139,
-0.114052914083004,
-0.042571499943733215,
-0.06873788684606552,
-0.022106047719717026,
-0.0353398323059082,
0.07535013556480408,
-0.056866809725761414,
-0.03927994892001152,
-0.08789298683404922,
0.01113226730376482,
-0.0895257294178009,
0.02128119207918644,
0.011933448724448681,
0.022546738386154175,
0.007307867985218763,
0.03177814558148384,
-0.0013422757619991899,
0.05354258418083191,
0.10087878257036209,
0.046716708689928055,
-0.08989537507295609,
0.007936468347907066,
-0.032784152776002884,
0.03137454763054848,
0.005486182868480682,
-0.003369137179106474,
-0.05507736653089523,
0.011545375920832157,
0.041644781827926636,
0.014167899265885353,
0.053106337785720825,
0.03213448449969292,
0.04091832414269447,
-0.05416865274310112,
-0.037594426423311234,
0.0036679906770586967,
-0.012407000176608562,
-0.004029010888189077,
-0.03132326900959015,
0.002328663133084774,
0.027986837550997734,
-0.038710497319698334,
-4.116634855222401e-8,
0.034813087433576584,
0.023263191804289818,
0.07167985290288925,
-0.012072918936610222,
0.04342298582196236,
-0.08350890874862671,
0.028835587203502655,
-0.07097215205430984,
0.04293982312083244,
-0.0004183765850029886,
0.1232370063662529,
-0.09756997972726822,
0.008020272478461266,
-0.05596117675304413,
0.04604441672563553,
0.03430186212062836,
0.03856885805726051,
0.03647021949291229,
0.04964924976229668,
-0.02430913783609867,
-0.02775171957910061,
0.04389968141913414,
0.03598617762327194,
0.042854201048612595,
0.07803800702095032,
0.028755057603120804,
-0.014122740365564823,
0.005024638958275318,
0.020092543214559555,
-0.06783441454172134,
0.02197563461959362,
-0.021765990182757378,
0.05755479633808136,
0.028778886422514915,
-0.03273855894804001,
-0.07572872936725616,
0.021778233349323273,
0.08435329049825668,
-0.05303504690527916,
0.0017392851877957582,
-0.07258214801549911,
-0.10206842422485352,
-0.016103608533740044,
0.02455258183181286,
-0.10544530302286148,
-0.07409494370222092,
0.003494925331324339,
-0.015176370739936829,
-0.02223951183259487,
-0.01856079325079918,
-0.02131471037864685,
0.049049012362957,
0.031299855560064316,
-0.03192422166466713,
0.04896359145641327,
0.04117715731263161,
-0.0020332804415374994,
-0.04202393814921379,
-0.02107967995107174,
0.03462524712085724,
0.0512872040271759,
0.0030113852117210627,
-0.0836603194475174,
-0.01984645240008831
] | null | null | null | null | null | null | null |
[
-0.008336042985320091,
-0.02781256102025509,
0.001633593812584877,
-0.005551028531044722,
-0.056589264422655106,
0.017693137750029564,
-0.047436006367206573,
-0.011517356149852276,
-0.02620857208967209,
-0.019597651436924934,
-0.009449610486626625,
-0.009753136895596981,
-0.03664335608482361,
0.028484556823968887,
0.007126635871827602,
0.07610389590263367,
0.0017199920257553458,
0.04859786853194237,
0.07856222242116928,
0.0011628346983343363,
0.07307567447423935,
-0.0171783696860075,
0.05086303502321243,
0.010038360022008419,
-0.04159459099173546,
0.10139533877372742,
0.052545178681612015,
-0.06331568211317062,
-0.02622603438794613,
-0.01959056220948696,
0.08864974975585938,
0.025229455903172493,
-0.04645143076777458,
0.008122066967189312,
-0.0909331813454628,
0.04295739158987999,
-0.06257528811693192,
-0.03581502288579941,
0.006809133104979992,
-0.0995180532336235,
0.027304353192448616,
0.0638478621840477,
0.0341634601354599,
0.010584380477666855,
0.043660566210746765,
0.005385849624872208,
0.14625462889671326,
-0.08332391083240509,
0.011121824383735657,
0.002690553432330489,
0.007842444814741611,
0.03327547013759613,
-0.00020199907885398716,
0.01452944427728653,
-0.033967480063438416,
0.14906352758407593,
0.02089790068566799,
-0.005044576246291399,
-0.04131334647536278,
-0.0005965539603494108,
-0.024025002494454384,
-0.044158075004816055,
0.026749804615974426,
-0.03666594251990318,
0.05779017508029938,
0.031627774238586426,
0.020285239443182945,
0.009676124900579453,
0.029871195554733276,
-0.003241373924538493,
0.06239035353064537,
-0.004848015494644642,
0.0007217111997306347,
-0.061220988631248474,
0.027386635541915894,
0.03057735785841942,
0.08634398877620697,
-0.017950281500816345,
0.11942023783922195,
-0.11041299998760223,
-0.02600606344640255,
0.009797929786145687,
0.006419176701456308,
-0.011290659196674824,
0.13428865373134613,
0.07208618521690369,
-0.01955384761095047,
0.09512106329202652,
-0.09622371941804886,
-0.01680132746696472,
0.0024254631716758013,
-0.04686560481786728,
0.038457635790109634,
-0.045766714960336685,
-0.015535849146544933,
-0.12751778960227966,
0.08876644819974899,
0.033262938261032104,
0.0019020605832338333,
-0.0194417592138052,
0.05960551276803017,
0.035342756658792496,
-0.014117656275629997,
0.030677491798996925,
0.004729935899376869,
-0.020140690729022026,
0.06304000318050385,
-0.007632138207554817,
-0.026134926825761795,
0.02147728018462658,
-0.010909288190305233,
0.07828878611326218,
-0.04388679563999176,
0.05164804309606552,
0.011515842750668526,
-0.05242423713207245,
-0.0032179846893996,
0.009618225507438183,
0.12651942670345306,
0.09158246964216232,
-0.07041497528553009,
0.006818471010774374,
-0.11234904825687408,
-0.024520419538021088,
-0.07947149872779846,
-0.025155149400234222,
-0.0318153016269207,
-1.2972377264732001e-36,
-0.06205146387219429,
-0.011215169914066792,
-0.025309968739748,
-0.028726685792207718,
0.016001086682081223,
0.019842594861984253,
0.016925210133194923,
-0.04275444149971008,
0.03678536415100098,
0.034688934683799744,
-0.019661156460642815,
0.012140246108174324,
0.006930530536919832,
0.11698725074529648,
0.040238577872514725,
-0.08085555583238602,
-0.028148533776402473,
-0.04382222518324852,
0.05025496706366539,
-0.11321321874856949,
-0.004662542603909969,
0.034544773399829865,
-0.016261953860521317,
0.011369556188583374,
0.00455264700576663,
-0.040357641875743866,
-0.08673112839460373,
0.0009070675587281585,
0.0002921141858678311,
-0.007001890335232019,
-0.04627187177538872,
0.04029569774866104,
-0.04775148630142212,
-0.0677037313580513,
0.06728076934814453,
-0.011916281655430794,
0.08708402514457703,
-0.062237851321697235,
0.0450330451130867,
-0.04749474301934242,
-0.008478164672851562,
-0.033985789865255356,
0.008474545553326607,
-0.01303265243768692,
-0.08090152591466904,
-0.08753857016563416,
0.035301048308610916,
0.03341926261782646,
0.0038628762122243643,
-0.052562814205884933,
-0.05311420559883118,
-0.03312432020902634,
-0.03691082447767258,
-0.09330672025680542,
0.08856666833162308,
-0.08235029131174088,
-0.05993274599313736,
0.06491026282310486,
0.10780726373195648,
0.10278324782848358,
0.05298363044857979,
-0.010199562646448612,
-0.013319001533091068,
0.03971313685178757,
-0.01955319195985794,
0.06384219229221344,
0.031978387385606766,
0.024569014087319374,
0.04852434620261192,
0.013859334401786327,
0.05248899757862091,
0.04715433344244957,
-0.006078457459807396,
-0.09939723461866379,
-0.0004069711721967906,
0.043925050646066666,
0.038436684757471085,
-0.042278729379177094,
-0.005016467068344355,
-0.030283236876130104,
0.03399837389588356,
-0.07803663611412048,
-0.038989268243312836,
0.02489992417395115,
0.05511645972728729,
0.034917715936899185,
0.03079056367278099,
-0.04549290984869003,
-0.09394015371799469,
-0.018546560779213905,
-0.0047844089567661285,
-0.08128228038549423,
0.06990806758403778,
-0.04985887184739113,
-0.08048568665981293,
-2.5218216426106472e-33,
-0.09280997514724731,
-0.012898069806396961,
0.05977141112089157,
0.008702556602656841,
0.010714635252952576,
-0.0009332043118774891,
-0.012813580222427845,
-0.03202526271343231,
-0.07605307549238205,
0.0403633788228035,
-0.005806679837405682,
-0.04860302433371544,
0.027315491810441017,
-0.04527147486805916,
0.05086078122258186,
0.05605313181877136,
-0.05322552099823952,
-0.03569449856877327,
0.12199187278747559,
-0.044171981513500214,
0.03696693107485771,
0.13485091924667358,
-0.02600967139005661,
0.04353415593504906,
-0.04633880406618118,
-0.024686863645911217,
-0.043585002422332764,
-0.019142094999551773,
0.0317721925675869,
0.06808656454086304,
-0.0810561403632164,
0.007796488702297211,
0.012063518166542053,
0.009334709495306015,
-0.011996021494269371,
0.042869921773672104,
0.019480979070067406,
-0.06011467054486275,
-0.017625626176595688,
-0.05979883298277855,
0.04136813059449196,
0.007582681719213724,
-0.0032378174364566803,
-0.037311241030693054,
0.01871638000011444,
0.04825359210371971,
-0.11326336115598679,
0.07683847844600677,
-0.00643737381324172,
0.0915461927652359,
0.006821689195930958,
0.0050718034617602825,
-0.05611217021942139,
-0.114052914083004,
-0.042571499943733215,
-0.06873788684606552,
-0.022106047719717026,
-0.0353398323059082,
0.07535013556480408,
-0.056866809725761414,
-0.03927994892001152,
-0.08789298683404922,
0.01113226730376482,
-0.0895257294178009,
0.02128119207918644,
0.011933448724448681,
0.022546738386154175,
0.007307867985218763,
0.03177814558148384,
-0.0013422757619991899,
0.05354258418083191,
0.10087878257036209,
0.046716708689928055,
-0.08989537507295609,
0.007936468347907066,
-0.032784152776002884,
0.03137454763054848,
0.005486182868480682,
-0.003369137179106474,
-0.05507736653089523,
0.011545375920832157,
0.041644781827926636,
0.014167899265885353,
0.053106337785720825,
0.03213448449969292,
0.04091832414269447,
-0.05416865274310112,
-0.037594426423311234,
0.0036679906770586967,
-0.012407000176608562,
-0.004029010888189077,
-0.03132326900959015,
0.002328663133084774,
0.027986837550997734,
-0.038710497319698334,
-4.116634855222401e-8,
0.034813087433576584,
0.023263191804289818,
0.07167985290288925,
-0.012072918936610222,
0.04342298582196236,
-0.08350890874862671,
0.028835587203502655,
-0.07097215205430984,
0.04293982312083244,
-0.0004183765850029886,
0.1232370063662529,
-0.09756997972726822,
0.008020272478461266,
-0.05596117675304413,
0.04604441672563553,
0.03430186212062836,
0.03856885805726051,
0.03647021949291229,
0.04964924976229668,
-0.02430913783609867,
-0.02775171957910061,
0.04389968141913414,
0.03598617762327194,
0.042854201048612595,
0.07803800702095032,
0.028755057603120804,
-0.014122740365564823,
0.005024638958275318,
0.020092543214559555,
-0.06783441454172134,
0.02197563461959362,
-0.021765990182757378,
0.05755479633808136,
0.028778886422514915,
-0.03273855894804001,
-0.07572872936725616,
0.021778233349323273,
0.08435329049825668,
-0.05303504690527916,
0.0017392851877957582,
-0.07258214801549911,
-0.10206842422485352,
-0.016103608533740044,
0.02455258183181286,
-0.10544530302286148,
-0.07409494370222092,
0.003494925331324339,
-0.015176370739936829,
-0.02223951183259487,
-0.01856079325079918,
-0.02131471037864685,
0.049049012362957,
0.031299855560064316,
-0.03192422166466713,
0.04896359145641327,
0.04117715731263161,
-0.0020332804415374994,
-0.04202393814921379,
-0.02107967995107174,
0.03462524712085724,
0.0512872040271759,
0.0030113852117210627,
-0.0836603194475174,
-0.01984645240008831
] |
1402.2903
|
Vadim E. Levit
|
Vadim E. Levit and Eugen Mandrescu
|
Computing Unique Maximum Matchings in O(m) time for Konig-Egervary
Graphs and Unicyclic Graphs
|
10 pages, 5 figures
| null | null | null |
cs.DM math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Let alpha(G) denote the maximum size of an independent set of vertices and
mu(G) be the cardinality of a maximum matching in a graph G. A matching
saturating all the vertices is perfect. If alpha(G) + mu(G) equals the number
of vertices of G, then it is called a Konig-Egervary graph. A graph is
unicyclic if it has a unique cycle.
In 2010, Bartha conjectured that a unique perfect matching, if it exists, can
be found in O(m) time, where m is the number of edges.
In this paper we validate this conjecture for Konig-Egervary graphs and
unicylic graphs. We propose a variation of Karp-Sipser leaf-removal algorithm
(Karp and Spiser, 1981), which ends with an empty graph if and only if the
original graph is a Konig-Egervary graph with a unique perfect matching
obtained as an output as well.
We also show that a unicyclic non-bipartite graph G may have at most one
perfect matching, and this is the case where G is a Konig-Egervary graph.
|
[
{
"created": "Wed, 12 Feb 2014 17:22:46 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Levit",
"Vadim E.",
""
],
[
"Mandrescu",
"Eugen",
""
]
] |
[
-0.08143560588359833,
0.0400114543735981,
-0.0005990767385810614,
-0.02874651364982128,
0.03510764613747597,
-0.006691829301416874,
0.0011088465107604861,
-0.065471351146698,
-0.0027077060658484697,
0.04650223255157471,
-0.010535994544625282,
-0.003715276485309005,
0.05176275223493576,
0.023057468235492706,
0.04914558306336403,
0.06334541738033295,
-0.011731002479791641,
0.024071699008345604,
0.021588100120425224,
-0.01563992351293564,
0.021786650642752647,
-0.06527741253376007,
-0.07178424298763275,
-0.00265898322686553,
0.058735478669404984,
-0.08144459873437881,
-0.09633440524339676,
-0.04200100153684616,
-0.037852004170417786,
-0.0006793796201236546,
-0.059494078159332275,
0.0631243959069252,
0.07150906324386597,
0.031975384801626205,
0.007117779925465584,
-0.06971973180770874,
-0.09634588658809662,
0.05352748557925224,
0.08402981609106064,
0.03566103056073189,
0.00009611480345483869,
0.0023807864636182785,
-0.011017880402505398,
-0.007772696670144796,
-0.052268438041210175,
0.09872756153345108,
-0.09194495528936386,
0.11266855895519257,
-0.10542608797550201,
-0.037616901099681854,
-0.016289720311760902,
-0.042979832738637924,
-0.09980630874633789,
0.008067024871706963,
0.010276938788592815,
-0.0339864045381546,
-0.033359598368406296,
-0.09632692486047745,
0.03290598466992378,
0.04065772145986557,
0.08130481094121933,
-0.00008414727199124172,
-0.03684011474251747,
0.020678579807281494,
-0.01363098993897438,
0.008982946164906025,
0.008083232678472996,
-0.03394424915313721,
0.023071186617016792,
0.11239311099052429,
0.06087746471166611,
-0.007411575876176357,
-0.06543180346488953,
0.10199055820703506,
0.0440254807472229,
0.04656636342406273,
0.038864415138959885,
0.023429332301020622,
-0.07319378852844238,
0.03907542675733566,
-0.05742105469107628,
-0.03576020523905754,
-0.010802961885929108,
-0.007090182509273291,
-0.04172251746058464,
-0.03752598538994789,
-0.08953535556793213,
-0.040625475347042084,
0.0428074449300766,
0.006304577458649874,
-0.1226639524102211,
0.0848144143819809,
0.010991748422384262,
0.007905661128461361,
0.030013853684067726,
0.0071402559988200665,
0.04996607452630997,
0.07256198674440384,
0.05641952157020569,
0.09788905084133148,
0.0014269306557253003,
0.042889323085546494,
0.0418035089969635,
-0.0146544324234128,
-0.03703462705016136,
0.07461580634117126,
-0.0719112753868103,
-0.003483573906123638,
-0.02922455593943596,
-0.07476746290922165,
0.020870521664619446,
-0.048948563635349274,
0.04652497544884682,
0.07058140635490417,
-0.004963075742125511,
-0.02075175568461418,
0.02881942316889763,
0.0018712643068283796,
0.02306775562465191,
0.10696392506361008,
-0.00005754033554694615,
0.026353152468800545,
0.0127178393304348,
-0.004482605494558811,
-0.030777182430028915,
0.07849788665771484,
0.05885172635316849,
3.6796319666217596e-33,
0.055232495069503784,
0.060489118099212646,
0.046871673315763474,
-0.11969735473394394,
0.08171894401311874,
-0.034986674785614014,
-0.0601850189268589,
-0.034881848841905594,
-0.02516852505505085,
-0.018338385969400406,
-0.049437157809734344,
0.012899692170321941,
0.02676146663725376,
0.0408620722591877,
-0.0006796253728680313,
0.003547736443579197,
0.10277455300092697,
-0.009983012452721596,
0.00687011145055294,
-0.0920422226190567,
0.038066454231739044,
0.002718080999329686,
-0.025148514658212662,
0.03971563279628754,
0.018165884539484978,
-0.0014391029253602028,
-0.005121845752000809,
-0.05228554829955101,
0.06649145483970642,
-0.010733040049672127,
-0.03435515984892845,
0.03719709813594818,
0.01218461710959673,
0.13824819028377533,
-0.04607361927628517,
-0.04846188426017761,
-0.05223854258656502,
-0.04362057149410248,
-0.02666235715150833,
-0.0061489287763834,
-0.04303894191980362,
0.03373519331216812,
0.0010575135238468647,
-0.04671669378876686,
0.03813765570521355,
-0.016417084261775017,
-0.0410267636179924,
0.033660199493169785,
-0.010589880868792534,
0.026319002732634544,
-0.009874257259070873,
0.04804861545562744,
0.0017742860363796353,
0.034584417939186096,
-0.09881612658500671,
0.00017874769400805235,
0.10300492495298386,
0.04203087463974953,
0.0363181009888649,
0.09153003245592117,
0.0036978828720748425,
0.020856672897934914,
0.0016206358559429646,
-0.006412980146706104,
-0.006143593229353428,
0.04008502885699272,
-0.020903205499053,
-0.0926322340965271,
0.02304666116833687,
-0.06431914120912552,
0.007410300895571709,
-0.012002656236290932,
0.01954369805753231,
-0.04394254460930824,
0.02190132811665535,
-0.06407235562801361,
0.009548075497150421,
-0.03266400843858719,
-0.0886864960193634,
0.039659708738327026,
-0.06520352512598038,
0.0009831327479332685,
0.020956341177225113,
-0.07658448815345764,
-0.03714800253510475,
-0.08105123043060303,
-0.01582445576786995,
-0.014586765319108963,
0.05418896675109863,
-0.039824966341257095,
0.07251862436532974,
0.03220515698194504,
-0.07589484751224518,
-0.0043607233092188835,
0.11221713572740555,
-2.787658771694146e-33,
0.056349899619817734,
-0.0020247369538992643,
0.09878933429718018,
0.13095541298389435,
0.06873166561126709,
-0.04091598093509674,
-0.0032613794319331646,
-0.027572302147746086,
0.011021127924323082,
0.0042241839691996574,
0.027098819613456726,
0.02023872546851635,
0.08597692102193832,
-0.04530368372797966,
-0.010696235112845898,
-0.04067455977201462,
0.051471296697854996,
0.04543343558907509,
-0.10932699590921402,
0.05354723334312439,
0.11622210592031479,
0.048416394740343094,
-0.04089405760169029,
-0.04144200682640076,
0.025445735082030296,
0.019064372405409813,
-0.021390093490481377,
-0.03825284168124199,
-0.05066714808344841,
0.048232000321149826,
0.030760999768972397,
-0.013814868405461311,
-0.09382787346839905,
-0.07511022686958313,
0.05893256515264511,
0.003565076505765319,
-0.020305922254920006,
0.08018184453248978,
-0.02660890482366085,
0.1032913327217102,
0.001316355774179101,
-0.01402657013386488,
-0.017204098403453827,
0.010125401429831982,
0.061196599155664444,
0.005001485347747803,
0.009800650179386139,
0.051738448441028595,
0.006102574523538351,
-0.04644649475812912,
-0.027516430243849754,
0.037590160965919495,
0.03429111838340759,
-0.02649322710931301,
0.08641262352466583,
-0.05013442039489746,
-0.008235576562583447,
0.10805196315050125,
-0.04627455770969391,
-0.047474659979343414,
0.016595730558037758,
0.02933669649064541,
-0.08566851913928986,
0.08222103863954544,
-0.001258868956938386,
-0.06802582740783691,
-0.0006182515062391758,
-0.011051960289478302,
-0.020457839593291283,
0.024763373658061028,
-0.03095647506415844,
-0.002209288068115711,
-0.08365093171596527,
-0.03610368072986603,
0.05773601680994034,
0.05574817210435867,
0.014220877550542355,
0.059778545051813126,
-0.03628077730536461,
0.05315755680203438,
-0.13123859465122223,
0.001764188869856298,
0.05583511292934418,
0.00560507969930768,
0.04181995242834091,
-0.04721694439649582,
-0.04015698283910751,
-0.07194718718528748,
0.05192188173532486,
0.04567326605319977,
-0.02003251202404499,
0.014215555973351002,
0.02747093327343464,
-0.007017000112682581,
0.03904414921998978,
-4.4917040753489346e-8,
-0.020716190338134766,
0.0006595336017198861,
-0.07978855818510056,
-0.040155358612537384,
0.0841589868068695,
-0.1367163509130478,
0.1211470291018486,
0.07202186435461044,
-0.04144461080431938,
0.039350658655166626,
0.0793023332953453,
0.007514044642448425,
0.003511365968734026,
0.04113440588116646,
-0.010479426011443138,
-0.0349348708987236,
0.04990467056632042,
-0.02224872261285782,
-0.0006088875234127045,
-0.02583269216120243,
-0.06231566518545151,
-0.04431801661849022,
-0.0064449976198375225,
0.026748409494757652,
-0.029659828171133995,
-0.0380120649933815,
-0.010791795328259468,
-0.017770102247595787,
-0.02621968276798725,
0.06418563425540924,
-0.03077877126634121,
-0.01575901359319687,
0.05225330963730812,
-0.03515266254544258,
0.055631931871175766,
0.04083273559808731,
-0.09620165079832077,
0.02543315850198269,
-0.08903558552265167,
0.002126855542883277,
-0.017973121255636215,
0.0167247261852026,
-0.08072046935558319,
0.002283162670210004,
0.03569550812244415,
-0.008973403833806515,
0.031854044646024704,
0.003427972784265876,
-0.029488731175661087,
-0.049309756606817245,
-0.048368215560913086,
-0.0412401519715786,
-0.0026975322980433702,
-0.09031528979539871,
0.014469857327640057,
0.0873149111866951,
0.03651760146021843,
-0.049536120146512985,
0.0886455699801445,
-0.019474780187010765,
0.029319681227207184,
-0.005762726999819279,
0.03234497085213661,
-0.07237890362739563
] | null | null | null | null | null | null | null |
[
-0.08143560588359833,
0.0400114543735981,
-0.0005990767385810614,
-0.02874651364982128,
0.03510764613747597,
-0.006691829301416874,
0.0011088465107604861,
-0.065471351146698,
-0.0027077060658484697,
0.04650223255157471,
-0.010535994544625282,
-0.003715276485309005,
0.05176275223493576,
0.023057468235492706,
0.04914558306336403,
0.06334541738033295,
-0.011731002479791641,
0.024071699008345604,
0.021588100120425224,
-0.01563992351293564,
0.021786650642752647,
-0.06527741253376007,
-0.07178424298763275,
-0.00265898322686553,
0.058735478669404984,
-0.08144459873437881,
-0.09633440524339676,
-0.04200100153684616,
-0.037852004170417786,
-0.0006793796201236546,
-0.059494078159332275,
0.0631243959069252,
0.07150906324386597,
0.031975384801626205,
0.007117779925465584,
-0.06971973180770874,
-0.09634588658809662,
0.05352748557925224,
0.08402981609106064,
0.03566103056073189,
0.00009611480345483869,
0.0023807864636182785,
-0.011017880402505398,
-0.007772696670144796,
-0.052268438041210175,
0.09872756153345108,
-0.09194495528936386,
0.11266855895519257,
-0.10542608797550201,
-0.037616901099681854,
-0.016289720311760902,
-0.042979832738637924,
-0.09980630874633789,
0.008067024871706963,
0.010276938788592815,
-0.0339864045381546,
-0.033359598368406296,
-0.09632692486047745,
0.03290598466992378,
0.04065772145986557,
0.08130481094121933,
-0.00008414727199124172,
-0.03684011474251747,
0.020678579807281494,
-0.01363098993897438,
0.008982946164906025,
0.008083232678472996,
-0.03394424915313721,
0.023071186617016792,
0.11239311099052429,
0.06087746471166611,
-0.007411575876176357,
-0.06543180346488953,
0.10199055820703506,
0.0440254807472229,
0.04656636342406273,
0.038864415138959885,
0.023429332301020622,
-0.07319378852844238,
0.03907542675733566,
-0.05742105469107628,
-0.03576020523905754,
-0.010802961885929108,
-0.007090182509273291,
-0.04172251746058464,
-0.03752598538994789,
-0.08953535556793213,
-0.040625475347042084,
0.0428074449300766,
0.006304577458649874,
-0.1226639524102211,
0.0848144143819809,
0.010991748422384262,
0.007905661128461361,
0.030013853684067726,
0.0071402559988200665,
0.04996607452630997,
0.07256198674440384,
0.05641952157020569,
0.09788905084133148,
0.0014269306557253003,
0.042889323085546494,
0.0418035089969635,
-0.0146544324234128,
-0.03703462705016136,
0.07461580634117126,
-0.0719112753868103,
-0.003483573906123638,
-0.02922455593943596,
-0.07476746290922165,
0.020870521664619446,
-0.048948563635349274,
0.04652497544884682,
0.07058140635490417,
-0.004963075742125511,
-0.02075175568461418,
0.02881942316889763,
0.0018712643068283796,
0.02306775562465191,
0.10696392506361008,
-0.00005754033554694615,
0.026353152468800545,
0.0127178393304348,
-0.004482605494558811,
-0.030777182430028915,
0.07849788665771484,
0.05885172635316849,
3.6796319666217596e-33,
0.055232495069503784,
0.060489118099212646,
0.046871673315763474,
-0.11969735473394394,
0.08171894401311874,
-0.034986674785614014,
-0.0601850189268589,
-0.034881848841905594,
-0.02516852505505085,
-0.018338385969400406,
-0.049437157809734344,
0.012899692170321941,
0.02676146663725376,
0.0408620722591877,
-0.0006796253728680313,
0.003547736443579197,
0.10277455300092697,
-0.009983012452721596,
0.00687011145055294,
-0.0920422226190567,
0.038066454231739044,
0.002718080999329686,
-0.025148514658212662,
0.03971563279628754,
0.018165884539484978,
-0.0014391029253602028,
-0.005121845752000809,
-0.05228554829955101,
0.06649145483970642,
-0.010733040049672127,
-0.03435515984892845,
0.03719709813594818,
0.01218461710959673,
0.13824819028377533,
-0.04607361927628517,
-0.04846188426017761,
-0.05223854258656502,
-0.04362057149410248,
-0.02666235715150833,
-0.0061489287763834,
-0.04303894191980362,
0.03373519331216812,
0.0010575135238468647,
-0.04671669378876686,
0.03813765570521355,
-0.016417084261775017,
-0.0410267636179924,
0.033660199493169785,
-0.010589880868792534,
0.026319002732634544,
-0.009874257259070873,
0.04804861545562744,
0.0017742860363796353,
0.034584417939186096,
-0.09881612658500671,
0.00017874769400805235,
0.10300492495298386,
0.04203087463974953,
0.0363181009888649,
0.09153003245592117,
0.0036978828720748425,
0.020856672897934914,
0.0016206358559429646,
-0.006412980146706104,
-0.006143593229353428,
0.04008502885699272,
-0.020903205499053,
-0.0926322340965271,
0.02304666116833687,
-0.06431914120912552,
0.007410300895571709,
-0.012002656236290932,
0.01954369805753231,
-0.04394254460930824,
0.02190132811665535,
-0.06407235562801361,
0.009548075497150421,
-0.03266400843858719,
-0.0886864960193634,
0.039659708738327026,
-0.06520352512598038,
0.0009831327479332685,
0.020956341177225113,
-0.07658448815345764,
-0.03714800253510475,
-0.08105123043060303,
-0.01582445576786995,
-0.014586765319108963,
0.05418896675109863,
-0.039824966341257095,
0.07251862436532974,
0.03220515698194504,
-0.07589484751224518,
-0.0043607233092188835,
0.11221713572740555,
-2.787658771694146e-33,
0.056349899619817734,
-0.0020247369538992643,
0.09878933429718018,
0.13095541298389435,
0.06873166561126709,
-0.04091598093509674,
-0.0032613794319331646,
-0.027572302147746086,
0.011021127924323082,
0.0042241839691996574,
0.027098819613456726,
0.02023872546851635,
0.08597692102193832,
-0.04530368372797966,
-0.010696235112845898,
-0.04067455977201462,
0.051471296697854996,
0.04543343558907509,
-0.10932699590921402,
0.05354723334312439,
0.11622210592031479,
0.048416394740343094,
-0.04089405760169029,
-0.04144200682640076,
0.025445735082030296,
0.019064372405409813,
-0.021390093490481377,
-0.03825284168124199,
-0.05066714808344841,
0.048232000321149826,
0.030760999768972397,
-0.013814868405461311,
-0.09382787346839905,
-0.07511022686958313,
0.05893256515264511,
0.003565076505765319,
-0.020305922254920006,
0.08018184453248978,
-0.02660890482366085,
0.1032913327217102,
0.001316355774179101,
-0.01402657013386488,
-0.017204098403453827,
0.010125401429831982,
0.061196599155664444,
0.005001485347747803,
0.009800650179386139,
0.051738448441028595,
0.006102574523538351,
-0.04644649475812912,
-0.027516430243849754,
0.037590160965919495,
0.03429111838340759,
-0.02649322710931301,
0.08641262352466583,
-0.05013442039489746,
-0.008235576562583447,
0.10805196315050125,
-0.04627455770969391,
-0.047474659979343414,
0.016595730558037758,
0.02933669649064541,
-0.08566851913928986,
0.08222103863954544,
-0.001258868956938386,
-0.06802582740783691,
-0.0006182515062391758,
-0.011051960289478302,
-0.020457839593291283,
0.024763373658061028,
-0.03095647506415844,
-0.002209288068115711,
-0.08365093171596527,
-0.03610368072986603,
0.05773601680994034,
0.05574817210435867,
0.014220877550542355,
0.059778545051813126,
-0.03628077730536461,
0.05315755680203438,
-0.13123859465122223,
0.001764188869856298,
0.05583511292934418,
0.00560507969930768,
0.04181995242834091,
-0.04721694439649582,
-0.04015698283910751,
-0.07194718718528748,
0.05192188173532486,
0.04567326605319977,
-0.02003251202404499,
0.014215555973351002,
0.02747093327343464,
-0.007017000112682581,
0.03904414921998978,
-4.4917040753489346e-8,
-0.020716190338134766,
0.0006595336017198861,
-0.07978855818510056,
-0.040155358612537384,
0.0841589868068695,
-0.1367163509130478,
0.1211470291018486,
0.07202186435461044,
-0.04144461080431938,
0.039350658655166626,
0.0793023332953453,
0.007514044642448425,
0.003511365968734026,
0.04113440588116646,
-0.010479426011443138,
-0.0349348708987236,
0.04990467056632042,
-0.02224872261285782,
-0.0006088875234127045,
-0.02583269216120243,
-0.06231566518545151,
-0.04431801661849022,
-0.0064449976198375225,
0.026748409494757652,
-0.029659828171133995,
-0.0380120649933815,
-0.010791795328259468,
-0.017770102247595787,
-0.02621968276798725,
0.06418563425540924,
-0.03077877126634121,
-0.01575901359319687,
0.05225330963730812,
-0.03515266254544258,
0.055631931871175766,
0.04083273559808731,
-0.09620165079832077,
0.02543315850198269,
-0.08903558552265167,
0.002126855542883277,
-0.017973121255636215,
0.0167247261852026,
-0.08072046935558319,
0.002283162670210004,
0.03569550812244415,
-0.008973403833806515,
0.031854044646024704,
0.003427972784265876,
-0.029488731175661087,
-0.049309756606817245,
-0.048368215560913086,
-0.0412401519715786,
-0.0026975322980433702,
-0.09031528979539871,
0.014469857327640057,
0.0873149111866951,
0.03651760146021843,
-0.049536120146512985,
0.0886455699801445,
-0.019474780187010765,
0.029319681227207184,
-0.005762726999819279,
0.03234497085213661,
-0.07237890362739563
] |
1402.2904
|
Bei Yu
|
Duo Ding and Bei Yu and Joydeep Ghosh and David Z. Pan
|
EPIC: Efficient prediction of IC manufacturing hotspots with a unified
meta-classification formulation
| null | null |
10.1109/ASPDAC.2012.6164956
| null |
cs.AR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we present EPIC, an efficient and effective predictor for IC
manufacturing hotspots in deep sub-wavelength lithography. EPIC proposes a
unified framework to combine different hotspot detection methods together, such
as machine learning and pattern matching, using mathematical
programming/optimization. EPIC algorithm has been tested on a number of
industry benchmarks under advanced manufacturing conditions. It demonstrates so
far the best capability in selectively combining the desirable features of
various hotspot detection methods (3.5-8.2% accuracy improvement) as well as
significant suppression of the detection noise (e.g., 80% false-alarm
reduction). These characteristics make EPIC very suitable for conducting high
performance physical verification and guiding efficient manufacturability
friendly physical design.
|
[
{
"created": "Wed, 12 Feb 2014 17:25:05 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Ding",
"Duo",
""
],
[
"Yu",
"Bei",
""
],
[
"Ghosh",
"Joydeep",
""
],
[
"Pan",
"David Z.",
""
]
] |
[
-0.046439241617918015,
0.0149240056052804,
0.04761142656207085,
0.018915269523859024,
-0.011981973424553871,
-0.0831431895494461,
0.037909235805273056,
-0.07450274378061295,
-0.1174992248415947,
-0.053071919828653336,
-0.0371219776570797,
-0.024389345198869705,
-0.01488122995942831,
-0.003805743996053934,
0.005760550033301115,
-0.005701811984181404,
0.05275984853506088,
-0.03538931533694267,
0.05971355363726616,
-0.13298994302749634,
0.030067671090364456,
-0.06205272674560547,
-0.055803265422582626,
-0.009670351631939411,
0.010220980271697044,
0.014398541301488876,
0.12693871557712555,
0.07193607836961746,
-0.0686318427324295,
0.01622260920703411,
0.07223355770111084,
-0.018453456461429596,
-0.0385393463075161,
-0.021677229553461075,
0.052970658987760544,
-0.017589254304766655,
-0.07799870520830154,
0.0007961133378557861,
0.036985091865062714,
-0.05704713240265846,
-0.00442844070494175,
-0.05774993821978569,
-0.020257195457816124,
0.06806188821792603,
0.08294476568698883,
0.07032204419374466,
-0.00893903523683548,
-0.04954437538981438,
-0.01532459445297718,
-0.04527656361460686,
0.01720384880900383,
-0.07662510871887207,
0.046639636158943176,
-0.016496138647198677,
0.035162266343832016,
0.09326747059822083,
0.04557669162750244,
-0.049629103392362595,
0.06556472927331924,
0.00040989878471009433,
0.08148136734962463,
-0.12123183906078339,
-0.030713321641087532,
-0.022132989019155502,
-0.028866445645689964,
-0.020082488656044006,
-0.0022353087551891804,
-0.000898262660484761,
-0.014544873498380184,
0.009571848437190056,
-0.006471583154052496,
0.1318560689687729,
-0.010636042803525925,
0.03280651196837425,
0.03901829198002815,
0.059278301894664764,
0.050134968012571335,
-0.03743594512343407,
0.028553389012813568,
-0.048689402639865875,
0.0047936756163835526,
0.04786287620663643,
0.01129323523491621,
0.004750446882098913,
0.10658524185419083,
-0.03618931770324707,
-0.00031942533678375185,
0.011713290587067604,
0.005799164529889822,
-0.10801558941602707,
-0.030128750950098038,
-0.04025445878505707,
-0.0702807605266571,
-0.04753467068076134,
-0.03969644382596016,
0.02672777883708477,
0.001693214988335967,
-0.07756489515304565,
-0.04375076666474342,
0.03745951130986214,
-0.07784290611743927,
0.0017212891252711415,
-0.03978070244193077,
0.014764231629669666,
0.018290508538484573,
0.05142898112535477,
-0.011451741680502892,
0.0692305788397789,
0.04463290423154831,
-0.043284229934215546,
0.015449424274265766,
0.023724237456917763,
0.014062061905860901,
0.04521264508366585,
0.026596825569868088,
-0.03703733906149864,
-0.011195298284292221,
0.04109148308634758,
-0.002128277439624071,
0.005517836194485426,
-0.11929237097501755,
0.037865541875362396,
0.00570481363683939,
0.06800094246864319,
-0.007659409660845995,
0.023804886266589165,
-0.048007283359766006,
3.9823438024775766e-33,
0.041763730347156525,
0.11487164348363876,
-0.07202526926994324,
-0.047974999994039536,
0.06806422770023346,
-0.07694533467292786,
0.04004005715250969,
0.07499960064888,
0.07497822493314743,
0.0539434552192688,
-0.06866075843572617,
-0.02548951841890812,
-0.08395437896251678,
0.12108542770147324,
0.024626826867461205,
-0.04112950712442398,
0.042587120085954666,
0.05107536166906357,
-0.07746334373950958,
-0.031110551208257675,
-0.09051308035850525,
-0.10463327914476395,
0.025814160704612732,
-0.060865044593811035,
0.032279130071401596,
0.0771687924861908,
0.012094455771148205,
0.04794638976454735,
-0.013858404010534286,
0.0078021022491157055,
-0.055915798991918564,
0.024786969646811485,
0.08683595806360245,
0.08892785757780075,
0.08285792917013168,
-0.02355145663022995,
-0.04823531582951546,
-0.010026596486568451,
0.02798626199364662,
0.048204660415649414,
-0.06678775697946548,
0.013623123988509178,
0.012882508337497711,
-0.05169953033328056,
-0.014013073407113552,
0.06212354823946953,
-0.06916153430938721,
-0.00819604191929102,
0.01148399617522955,
0.017086422070860863,
-0.03639044985175133,
-0.002546098781749606,
0.03799653425812721,
-0.0025255673099309206,
0.046388398855924606,
-0.06150529161095619,
0.005761680658906698,
-0.042907994240522385,
0.10704667121171951,
0.08123501390218735,
-0.07574966549873352,
0.03143198788166046,
-0.04598341882228851,
0.08715267479419708,
-0.08099077641963959,
0.03619471937417984,
0.08558207005262375,
0.022180860862135887,
0.024234861135482788,
0.05363095551729202,
0.08316390961408615,
0.051959626376628876,
0.017566166818141937,
-0.05745713412761688,
0.09538879990577698,
-0.007331090047955513,
0.012033442966639996,
0.02898375317454338,
-0.0386129692196846,
0.024525059387087822,
-0.05510258674621582,
0.07657355070114136,
-0.006548656150698662,
-0.08920282870531082,
-0.004952332470566034,
-0.04290463402867317,
-0.0022523703519254923,
-0.03303302824497223,
-0.05522908270359039,
0.006231512874364853,
-0.06841587275266647,
-0.018597658723592758,
0.04197315499186516,
0.04321713000535965,
-0.012815147638320923,
-3.706546746493759e-33,
0.001836631796322763,
0.03615284338593483,
0.04487765580415726,
-0.012146255932748318,
-0.08249920606613159,
-0.0366634838283062,
-0.03651275113224983,
-0.025529617443680763,
-0.02134791575372219,
0.05972009897232056,
0.04617554321885109,
-0.00500090466812253,
0.003843995276838541,
-0.04025261849164963,
-0.04688969627022743,
0.010959921404719353,
-0.07165669649839401,
-0.0265329759567976,
0.027771782130002975,
-0.010497801005840302,
0.10512982308864594,
-0.010934695601463318,
-0.08984168618917465,
-0.015168384648859501,
-0.08106380701065063,
-0.011151449754834175,
-0.01690737158060074,
0.020527971908450127,
-0.03562357276678085,
0.021410197019577026,
-0.0930977538228035,
0.019188588485121727,
0.03788632154464722,
0.06651314347982407,
0.03556138649582863,
0.047822896391153336,
0.025577913969755173,
0.08014510571956635,
0.08048003911972046,
-0.024259161204099655,
0.05495499074459076,
0.0024212682619690895,
-0.13077175617218018,
0.03493158519268036,
-0.04930250719189644,
-0.0059937117621302605,
0.027712197974324226,
-0.0183270201086998,
0.07916074246168137,
-0.00834596622735262,
-0.016718054190278053,
-0.05766771733760834,
0.005737286992371082,
-0.017322605475783348,
-0.04042705520987511,
-0.02989218570291996,
-0.043132416903972626,
0.04087402671575546,
0.005016772076487541,
0.025365518406033516,
0.02569887414574623,
0.0036147660575807095,
0.08426643162965775,
0.07587356865406036,
0.04190154746174812,
0.006571994163095951,
0.01610027439892292,
0.031801264733076096,
0.0299220010638237,
-0.0026629616040736437,
0.0024075352121144533,
-0.022249499335885048,
0.02975579909980297,
0.014012898318469524,
-0.009209352545440197,
-0.10189445316791534,
-0.00112415780313313,
0.0036650951951742172,
-0.010278843343257904,
0.08143763244152069,
0.028790183365345,
0.010924352332949638,
-0.019722815603017807,
0.10754281282424927,
0.023374851793050766,
0.07241639494895935,
-0.008592082187533379,
-0.01025543361902237,
0.025973502546548843,
-0.0008940554107539356,
-0.0291599128395319,
0.13065558671951294,
0.02245064452290535,
0.005643810611218214,
-0.09392504394054413,
-4.280959231550696e-8,
0.014905945397913456,
-0.002422407502308488,
0.03744537755846977,
-0.12165426462888718,
0.002580776112154126,
-0.022884510457515717,
0.04807235673069954,
0.030172074213624,
-0.003123227274045348,
-0.0447140596807003,
-0.008790580555796623,
-0.06289660185575485,
-0.014220736920833588,
0.038027871400117874,
-0.028109287843108177,
0.008849214762449265,
0.007174126338213682,
-0.03516586497426033,
-0.0074377516284585,
-0.004944298882037401,
-0.016928773373365402,
0.025563158094882965,
0.17721423506736755,
0.009794602170586586,
-0.03575682267546654,
-0.05644013360142708,
-0.04787447676062584,
0.022176330909132957,
0.0004466785176191479,
0.007014342118054628,
-0.06501289457082748,
-0.010248339734971523,
0.05841350182890892,
0.0821208655834198,
0.07466453313827515,
0.08619147539138794,
0.04862857609987259,
0.011551791802048683,
0.04401282221078873,
0.014887247234582901,
-0.1080879494547844,
0.05510013923048973,
-0.04055589437484741,
-0.028435910120606422,
0.008140945807099342,
-0.0652434304356575,
-0.013930214568972588,
-0.06180127337574959,
-0.012771637178957462,
0.02897508628666401,
0.002547214040532708,
0.028857113793492317,
-0.004399359691888094,
-0.06095613166689873,
-0.04341771453619003,
-0.0017906450666487217,
-0.026726067066192627,
-0.11012551933526993,
0.048582836985588074,
0.07595483958721161,
0.06764093041419983,
-0.050600335001945496,
-0.047688424587249756,
-0.0052466862834990025
] | null | null | null | null | null | null | null |
[
-0.046439241617918015,
0.0149240056052804,
0.04761142656207085,
0.018915269523859024,
-0.011981973424553871,
-0.0831431895494461,
0.037909235805273056,
-0.07450274378061295,
-0.1174992248415947,
-0.053071919828653336,
-0.0371219776570797,
-0.024389345198869705,
-0.01488122995942831,
-0.003805743996053934,
0.005760550033301115,
-0.005701811984181404,
0.05275984853506088,
-0.03538931533694267,
0.05971355363726616,
-0.13298994302749634,
0.030067671090364456,
-0.06205272674560547,
-0.055803265422582626,
-0.009670351631939411,
0.010220980271697044,
0.014398541301488876,
0.12693871557712555,
0.07193607836961746,
-0.0686318427324295,
0.01622260920703411,
0.07223355770111084,
-0.018453456461429596,
-0.0385393463075161,
-0.021677229553461075,
0.052970658987760544,
-0.017589254304766655,
-0.07799870520830154,
0.0007961133378557861,
0.036985091865062714,
-0.05704713240265846,
-0.00442844070494175,
-0.05774993821978569,
-0.020257195457816124,
0.06806188821792603,
0.08294476568698883,
0.07032204419374466,
-0.00893903523683548,
-0.04954437538981438,
-0.01532459445297718,
-0.04527656361460686,
0.01720384880900383,
-0.07662510871887207,
0.046639636158943176,
-0.016496138647198677,
0.035162266343832016,
0.09326747059822083,
0.04557669162750244,
-0.049629103392362595,
0.06556472927331924,
0.00040989878471009433,
0.08148136734962463,
-0.12123183906078339,
-0.030713321641087532,
-0.022132989019155502,
-0.028866445645689964,
-0.020082488656044006,
-0.0022353087551891804,
-0.000898262660484761,
-0.014544873498380184,
0.009571848437190056,
-0.006471583154052496,
0.1318560689687729,
-0.010636042803525925,
0.03280651196837425,
0.03901829198002815,
0.059278301894664764,
0.050134968012571335,
-0.03743594512343407,
0.028553389012813568,
-0.048689402639865875,
0.0047936756163835526,
0.04786287620663643,
0.01129323523491621,
0.004750446882098913,
0.10658524185419083,
-0.03618931770324707,
-0.00031942533678375185,
0.011713290587067604,
0.005799164529889822,
-0.10801558941602707,
-0.030128750950098038,
-0.04025445878505707,
-0.0702807605266571,
-0.04753467068076134,
-0.03969644382596016,
0.02672777883708477,
0.001693214988335967,
-0.07756489515304565,
-0.04375076666474342,
0.03745951130986214,
-0.07784290611743927,
0.0017212891252711415,
-0.03978070244193077,
0.014764231629669666,
0.018290508538484573,
0.05142898112535477,
-0.011451741680502892,
0.0692305788397789,
0.04463290423154831,
-0.043284229934215546,
0.015449424274265766,
0.023724237456917763,
0.014062061905860901,
0.04521264508366585,
0.026596825569868088,
-0.03703733906149864,
-0.011195298284292221,
0.04109148308634758,
-0.002128277439624071,
0.005517836194485426,
-0.11929237097501755,
0.037865541875362396,
0.00570481363683939,
0.06800094246864319,
-0.007659409660845995,
0.023804886266589165,
-0.048007283359766006,
3.9823438024775766e-33,
0.041763730347156525,
0.11487164348363876,
-0.07202526926994324,
-0.047974999994039536,
0.06806422770023346,
-0.07694533467292786,
0.04004005715250969,
0.07499960064888,
0.07497822493314743,
0.0539434552192688,
-0.06866075843572617,
-0.02548951841890812,
-0.08395437896251678,
0.12108542770147324,
0.024626826867461205,
-0.04112950712442398,
0.042587120085954666,
0.05107536166906357,
-0.07746334373950958,
-0.031110551208257675,
-0.09051308035850525,
-0.10463327914476395,
0.025814160704612732,
-0.060865044593811035,
0.032279130071401596,
0.0771687924861908,
0.012094455771148205,
0.04794638976454735,
-0.013858404010534286,
0.0078021022491157055,
-0.055915798991918564,
0.024786969646811485,
0.08683595806360245,
0.08892785757780075,
0.08285792917013168,
-0.02355145663022995,
-0.04823531582951546,
-0.010026596486568451,
0.02798626199364662,
0.048204660415649414,
-0.06678775697946548,
0.013623123988509178,
0.012882508337497711,
-0.05169953033328056,
-0.014013073407113552,
0.06212354823946953,
-0.06916153430938721,
-0.00819604191929102,
0.01148399617522955,
0.017086422070860863,
-0.03639044985175133,
-0.002546098781749606,
0.03799653425812721,
-0.0025255673099309206,
0.046388398855924606,
-0.06150529161095619,
0.005761680658906698,
-0.042907994240522385,
0.10704667121171951,
0.08123501390218735,
-0.07574966549873352,
0.03143198788166046,
-0.04598341882228851,
0.08715267479419708,
-0.08099077641963959,
0.03619471937417984,
0.08558207005262375,
0.022180860862135887,
0.024234861135482788,
0.05363095551729202,
0.08316390961408615,
0.051959626376628876,
0.017566166818141937,
-0.05745713412761688,
0.09538879990577698,
-0.007331090047955513,
0.012033442966639996,
0.02898375317454338,
-0.0386129692196846,
0.024525059387087822,
-0.05510258674621582,
0.07657355070114136,
-0.006548656150698662,
-0.08920282870531082,
-0.004952332470566034,
-0.04290463402867317,
-0.0022523703519254923,
-0.03303302824497223,
-0.05522908270359039,
0.006231512874364853,
-0.06841587275266647,
-0.018597658723592758,
0.04197315499186516,
0.04321713000535965,
-0.012815147638320923,
-3.706546746493759e-33,
0.001836631796322763,
0.03615284338593483,
0.04487765580415726,
-0.012146255932748318,
-0.08249920606613159,
-0.0366634838283062,
-0.03651275113224983,
-0.025529617443680763,
-0.02134791575372219,
0.05972009897232056,
0.04617554321885109,
-0.00500090466812253,
0.003843995276838541,
-0.04025261849164963,
-0.04688969627022743,
0.010959921404719353,
-0.07165669649839401,
-0.0265329759567976,
0.027771782130002975,
-0.010497801005840302,
0.10512982308864594,
-0.010934695601463318,
-0.08984168618917465,
-0.015168384648859501,
-0.08106380701065063,
-0.011151449754834175,
-0.01690737158060074,
0.020527971908450127,
-0.03562357276678085,
0.021410197019577026,
-0.0930977538228035,
0.019188588485121727,
0.03788632154464722,
0.06651314347982407,
0.03556138649582863,
0.047822896391153336,
0.025577913969755173,
0.08014510571956635,
0.08048003911972046,
-0.024259161204099655,
0.05495499074459076,
0.0024212682619690895,
-0.13077175617218018,
0.03493158519268036,
-0.04930250719189644,
-0.0059937117621302605,
0.027712197974324226,
-0.0183270201086998,
0.07916074246168137,
-0.00834596622735262,
-0.016718054190278053,
-0.05766771733760834,
0.005737286992371082,
-0.017322605475783348,
-0.04042705520987511,
-0.02989218570291996,
-0.043132416903972626,
0.04087402671575546,
0.005016772076487541,
0.025365518406033516,
0.02569887414574623,
0.0036147660575807095,
0.08426643162965775,
0.07587356865406036,
0.04190154746174812,
0.006571994163095951,
0.01610027439892292,
0.031801264733076096,
0.0299220010638237,
-0.0026629616040736437,
0.0024075352121144533,
-0.022249499335885048,
0.02975579909980297,
0.014012898318469524,
-0.009209352545440197,
-0.10189445316791534,
-0.00112415780313313,
0.0036650951951742172,
-0.010278843343257904,
0.08143763244152069,
0.028790183365345,
0.010924352332949638,
-0.019722815603017807,
0.10754281282424927,
0.023374851793050766,
0.07241639494895935,
-0.008592082187533379,
-0.01025543361902237,
0.025973502546548843,
-0.0008940554107539356,
-0.0291599128395319,
0.13065558671951294,
0.02245064452290535,
0.005643810611218214,
-0.09392504394054413,
-4.280959231550696e-8,
0.014905945397913456,
-0.002422407502308488,
0.03744537755846977,
-0.12165426462888718,
0.002580776112154126,
-0.022884510457515717,
0.04807235673069954,
0.030172074213624,
-0.003123227274045348,
-0.0447140596807003,
-0.008790580555796623,
-0.06289660185575485,
-0.014220736920833588,
0.038027871400117874,
-0.028109287843108177,
0.008849214762449265,
0.007174126338213682,
-0.03516586497426033,
-0.0074377516284585,
-0.004944298882037401,
-0.016928773373365402,
0.025563158094882965,
0.17721423506736755,
0.009794602170586586,
-0.03575682267546654,
-0.05644013360142708,
-0.04787447676062584,
0.022176330909132957,
0.0004466785176191479,
0.007014342118054628,
-0.06501289457082748,
-0.010248339734971523,
0.05841350182890892,
0.0821208655834198,
0.07466453313827515,
0.08619147539138794,
0.04862857609987259,
0.011551791802048683,
0.04401282221078873,
0.014887247234582901,
-0.1080879494547844,
0.05510013923048973,
-0.04055589437484741,
-0.028435910120606422,
0.008140945807099342,
-0.0652434304356575,
-0.013930214568972588,
-0.06180127337574959,
-0.012771637178957462,
0.02897508628666401,
0.002547214040532708,
0.028857113793492317,
-0.004399359691888094,
-0.06095613166689873,
-0.04341771453619003,
-0.0017906450666487217,
-0.026726067066192627,
-0.11012551933526993,
0.048582836985588074,
0.07595483958721161,
0.06764093041419983,
-0.050600335001945496,
-0.047688424587249756,
-0.0052466862834990025
] |
1402.2906
|
Bei Yu
|
Yen-Hung Lin and Bei Yu and David Z. Pan and Yih-Lang Li
|
TRIAD: a triple patterning lithography aware detailed router
| null | null |
10.1145/2429384.2429408
| null |
cs.AR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
TPL-friendly detailed routers require a systematic approach to detect TPL
conflicts. However, the complexity of conflict graph (CG) impedes directly
detecting TPL conflicts in CG. This work proposes a token graph-embedded
conflict graph (TECG) to facilitate the TPL conflict detection while
maintaining high coloring-flexibility. We then develop a TPL aware detailed
router (TRIAD) by applying TECG to a gridless router with the TPL stitch
generation. Compared to a greedy coloring approach, experimental results
indicate that TRIAD generates no conflicts and few stitches with shorter
wirelength at the cost of 2.41x of runtime.
|
[
{
"created": "Wed, 12 Feb 2014 17:34:01 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Lin",
"Yen-Hung",
""
],
[
"Yu",
"Bei",
""
],
[
"Pan",
"David Z.",
""
],
[
"Li",
"Yih-Lang",
""
]
] |
[
0.011040951125323772,
0.05655118077993393,
0.032986052334308624,
-0.02437669411301613,
0.0806252732872963,
-0.016775257885456085,
-0.0996604636311531,
-0.027842195704579353,
-0.01637161150574684,
0.03847334533929825,
-0.042916711419820786,
0.08073446154594421,
-0.052775509655475616,
-0.03887220099568367,
0.02941048890352249,
0.04818449914455414,
-0.03816539794206619,
-0.017214836552739143,
-0.014582409523427486,
-0.0917033702135086,
-0.03932580351829529,
-0.034382738173007965,
-0.02859836257994175,
-0.01440938375890255,
-0.02866663783788681,
0.0098752835765481,
0.04199845716357231,
0.0014770328998565674,
0.050948068499565125,
0.02206924743950367,
0.035566721111536026,
0.012594080530107021,
-0.04428158700466156,
0.05373018980026245,
0.013710376806557178,
-0.06813423335552216,
-0.003243503160774708,
0.02212112955749035,
0.04334031045436859,
-0.07124529033899307,
0.02988233044743538,
0.003372600767761469,
-0.034410350024700165,
0.03385436534881592,
0.002138292184099555,
0.0447150282561779,
-0.059412743896245956,
0.036700937896966934,
-0.07686174660921097,
-0.0012960772728547454,
-0.02428099699318409,
-0.004684623796492815,
-0.019704990088939667,
-0.052889835089445114,
0.05727841705083847,
0.011147272773087025,
0.030575880780816078,
0.015464315190911293,
0.051863569766283035,
0.03147677704691887,
-0.0391472764313221,
-0.023122688755393028,
0.031444501131772995,
0.031066089868545532,
-0.009765674360096455,
0.06475575268268585,
0.11612744629383087,
0.044346410781145096,
-0.011940153315663338,
-0.0068557546474039555,
-0.03986618295311928,
0.04205586388707161,
0.004531761631369591,
0.10700412094593048,
-0.03476061671972275,
0.12349791079759598,
0.024010349065065384,
-0.011074240319430828,
-0.0933660939335823,
-0.03795962408185005,
-0.0054996018297970295,
0.0386710986495018,
-0.07242955267429352,
0.11055579036474228,
0.1120210736989975,
-0.07788125425577164,
-0.001785585074685514,
-0.00958450511097908,
0.041001636534929276,
-0.007076709531247616,
-0.11708720028400421,
0.027033939957618713,
0.0786530151963234,
0.005214951932430267,
-0.05360996350646019,
0.06086297705769539,
-0.0019563050009310246,
-0.07675011456012726,
-0.04113812744617462,
0.018809359520673752,
-0.02232334204018116,
-0.048516687005758286,
0.08389133214950562,
-0.01804949901998043,
0.09315024316310883,
0.0639679953455925,
-0.002496565692126751,
-0.035448841750621796,
0.019814545288681984,
0.00403654994443059,
-0.004836467560380697,
0.024569733068346977,
0.032087866216897964,
-0.013109968975186348,
0.03842047601938248,
-0.03377208858728409,
-0.04716574773192406,
0.03200508654117584,
0.09879840910434723,
0.029834145680069923,
0.09185293316841125,
-0.0800839513540268,
0.02412681095302105,
-0.009456929750740528,
0.0011786349350586534,
-0.06517599523067474,
0.059391774237155914,
3.55375378672197e-33,
0.04598122462630272,
0.08864637464284897,
-0.12355995178222656,
0.02347443252801895,
0.07505171000957489,
0.03426747769117355,
-0.0348324179649353,
-0.0011621505254879594,
-0.057500798255205154,
0.08390075713396072,
-0.08892756700515747,
0.01157914288341999,
-0.004965629894286394,
0.03224647045135498,
0.0870882049202919,
-0.04479208216071129,
-0.00035107487929053605,
-0.002780094277113676,
-0.04530293494462967,
-0.03419598564505577,
-0.0468437597155571,
-0.028972642496228218,
-0.02493036910891533,
-0.01498621329665184,
0.07538801431655884,
0.030472775921225548,
0.010747887194156647,
-0.025953009724617004,
0.06408573687076569,
-0.040001627057790756,
0.006990151479840279,
0.02207956835627556,
0.06496874243021011,
0.10727318376302719,
0.007142561953514814,
-0.014207545667886734,
-0.08100084960460663,
-0.05205433815717697,
-0.02820507250726223,
0.02683602273464203,
-0.03412972018122673,
0.010608009062707424,
-0.051137905567884445,
-0.05367492139339447,
-0.004958496894687414,
-0.057800594717264175,
-0.018154172226786613,
-0.012162410654127598,
-0.06847967207431793,
0.017421286553144455,
0.04841025173664093,
0.03589528053998947,
0.013522094115614891,
0.041555725038051605,
0.03336334601044655,
-0.1226053386926651,
-0.017652660608291626,
-0.01835763081908226,
0.10387388616800308,
0.11787597835063934,
-0.041268736124038696,
-0.06577596813440323,
-0.0216912142932415,
0.036293286830186844,
0.032777924090623856,
0.010182026773691177,
0.04379512742161751,
0.030292367562651634,
-0.016112660989165306,
-0.022402651607990265,
-0.043511711061000824,
0.0010691641364246607,
0.06246807053685188,
-0.040253810584545135,
-0.05593351647257805,
-0.023591751232743263,
-0.014773160219192505,
0.018622085452079773,
-0.03571784496307373,
-0.00937537383288145,
-0.03824906796216965,
0.005686442833393812,
0.06238558515906334,
0.015735764056444168,
-0.029045753180980682,
-0.08899705857038498,
-0.0018435698002576828,
-0.0410812571644783,
-0.08024390786886215,
0.034791309386491776,
0.013224827125668526,
0.008750022388994694,
-0.0031348082702606916,
0.0625932365655899,
0.060146063566207886,
-4.0052585954789185e-33,
-0.02897241897881031,
0.06046338379383087,
0.03747155889868736,
0.006080046761780977,
-0.07105492055416107,
-0.1421247273683548,
0.041634004563093185,
-0.03202585503458977,
0.02429180219769478,
0.05295160040259361,
-0.00851543340831995,
-0.09749175608158112,
0.004213528707623482,
-0.018932579085230827,
0.0035214165691286325,
-0.012975544668734074,
-0.039313096553087234,
0.03128177300095558,
-0.027798712253570557,
0.004405764862895012,
0.032590124756097794,
0.018920131027698517,
-0.029019910842180252,
-0.09329929947853088,
0.043872032314538956,
0.12362026423215866,
0.020261870697140694,
-0.021039651706814766,
-0.03899508714675903,
0.022718006744980812,
-0.0030908992048352957,
-0.06537513434886932,
0.036597661674022675,
-0.08019662648439407,
0.1270124465227127,
0.033130671828985214,
-0.02557397447526455,
0.06961297988891602,
0.05812982842326164,
0.005228325258940458,
0.08463043719530106,
-0.0035744502674788237,
-0.042791180312633514,
0.03317385911941528,
-0.029132861644029617,
-0.035091549158096313,
-0.019205661490559578,
-0.0006591906421817839,
-0.07617387175559998,
-0.036830153316259384,
-0.003067809622734785,
0.0879540741443634,
-0.00925036147236824,
-0.03641068935394287,
0.07819715142250061,
-0.06551200896501541,
-0.001002228120341897,
0.06892696022987366,
-0.08236562460660934,
-0.003672816092148423,
0.052644722163677216,
-0.0436246395111084,
-0.010736798867583275,
0.07604004442691803,
0.06776947528123856,
-0.02407766506075859,
0.027185602113604546,
-0.10768191516399384,
-0.01472819596529007,
0.09979094564914703,
0.038571350276470184,
0.0755259245634079,
-0.05554696172475815,
-0.05869302153587341,
0.11294391006231308,
-0.004491116385906935,
0.0021740926895290613,
0.0011681823525577784,
-0.008909016847610474,
0.011417561210691929,
-0.05648384243249893,
0.05955428630113602,
-0.05003393441438675,
-0.04795122146606445,
-0.11351364105939865,
0.05886850878596306,
-0.011690246872603893,
0.07235902547836304,
0.021529121324419975,
0.0027198477182537317,
-0.005181008949875832,
0.042813029140233994,
-0.009396308101713657,
0.02758878283202648,
-0.016152195632457733,
-4.034421863252646e-8,
-0.031312063336372375,
0.05928410589694977,
-0.04310617968440056,
-0.008256261236965656,
0.09082230180501938,
0.016401730477809906,
0.05985132232308388,
-0.05919240042567253,
-0.06262358278036118,
0.06573020666837692,
0.10774552822113037,
-0.014214581809937954,
-0.13476648926734924,
0.008145724423229694,
-0.011961670592427254,
-0.018144773319363594,
-0.10903353244066238,
-0.0903681144118309,
-0.045908063650131226,
0.047279320657253265,
-0.11888818442821503,
0.03135983645915985,
-0.062494102865457535,
0.050629500299692154,
-0.036018021404743195,
-0.04045720398426056,
-0.036296531558036804,
0.02185004949569702,
0.01247977465391159,
-0.005873318295925856,
-0.051679421216249466,
-0.0026921534445136786,
0.037421099841594696,
0.004494494292885065,
0.044253088533878326,
0.10902152955532074,
-0.037663109600543976,
0.037794943898916245,
-0.022727958858013153,
0.002269793301820755,
-0.06984981894493103,
0.07357528060674667,
-0.02651505172252655,
0.03853718191385269,
0.026737136766314507,
0.011821859516203403,
-0.035064347088336945,
-0.014643403701484203,
-0.05980537831783295,
-0.048552826046943665,
-0.04849020391702652,
-0.01169064361602068,
-0.053242456167936325,
-0.04506710171699524,
-0.06867551058530807,
0.018337776884436607,
0.026404969394207,
-0.00006740217941114679,
0.0634668692946434,
0.031234364956617355,
-0.05162355676293373,
-0.08338811993598938,
-0.017924318090081215,
-0.043755847960710526
] | null | null | null | null | null | null | null |
[
0.011040951125323772,
0.05655118077993393,
0.032986052334308624,
-0.02437669411301613,
0.0806252732872963,
-0.016775257885456085,
-0.0996604636311531,
-0.027842195704579353,
-0.01637161150574684,
0.03847334533929825,
-0.042916711419820786,
0.08073446154594421,
-0.052775509655475616,
-0.03887220099568367,
0.02941048890352249,
0.04818449914455414,
-0.03816539794206619,
-0.017214836552739143,
-0.014582409523427486,
-0.0917033702135086,
-0.03932580351829529,
-0.034382738173007965,
-0.02859836257994175,
-0.01440938375890255,
-0.02866663783788681,
0.0098752835765481,
0.04199845716357231,
0.0014770328998565674,
0.050948068499565125,
0.02206924743950367,
0.035566721111536026,
0.012594080530107021,
-0.04428158700466156,
0.05373018980026245,
0.013710376806557178,
-0.06813423335552216,
-0.003243503160774708,
0.02212112955749035,
0.04334031045436859,
-0.07124529033899307,
0.02988233044743538,
0.003372600767761469,
-0.034410350024700165,
0.03385436534881592,
0.002138292184099555,
0.0447150282561779,
-0.059412743896245956,
0.036700937896966934,
-0.07686174660921097,
-0.0012960772728547454,
-0.02428099699318409,
-0.004684623796492815,
-0.019704990088939667,
-0.052889835089445114,
0.05727841705083847,
0.011147272773087025,
0.030575880780816078,
0.015464315190911293,
0.051863569766283035,
0.03147677704691887,
-0.0391472764313221,
-0.023122688755393028,
0.031444501131772995,
0.031066089868545532,
-0.009765674360096455,
0.06475575268268585,
0.11612744629383087,
0.044346410781145096,
-0.011940153315663338,
-0.0068557546474039555,
-0.03986618295311928,
0.04205586388707161,
0.004531761631369591,
0.10700412094593048,
-0.03476061671972275,
0.12349791079759598,
0.024010349065065384,
-0.011074240319430828,
-0.0933660939335823,
-0.03795962408185005,
-0.0054996018297970295,
0.0386710986495018,
-0.07242955267429352,
0.11055579036474228,
0.1120210736989975,
-0.07788125425577164,
-0.001785585074685514,
-0.00958450511097908,
0.041001636534929276,
-0.007076709531247616,
-0.11708720028400421,
0.027033939957618713,
0.0786530151963234,
0.005214951932430267,
-0.05360996350646019,
0.06086297705769539,
-0.0019563050009310246,
-0.07675011456012726,
-0.04113812744617462,
0.018809359520673752,
-0.02232334204018116,
-0.048516687005758286,
0.08389133214950562,
-0.01804949901998043,
0.09315024316310883,
0.0639679953455925,
-0.002496565692126751,
-0.035448841750621796,
0.019814545288681984,
0.00403654994443059,
-0.004836467560380697,
0.024569733068346977,
0.032087866216897964,
-0.013109968975186348,
0.03842047601938248,
-0.03377208858728409,
-0.04716574773192406,
0.03200508654117584,
0.09879840910434723,
0.029834145680069923,
0.09185293316841125,
-0.0800839513540268,
0.02412681095302105,
-0.009456929750740528,
0.0011786349350586534,
-0.06517599523067474,
0.059391774237155914,
3.55375378672197e-33,
0.04598122462630272,
0.08864637464284897,
-0.12355995178222656,
0.02347443252801895,
0.07505171000957489,
0.03426747769117355,
-0.0348324179649353,
-0.0011621505254879594,
-0.057500798255205154,
0.08390075713396072,
-0.08892756700515747,
0.01157914288341999,
-0.004965629894286394,
0.03224647045135498,
0.0870882049202919,
-0.04479208216071129,
-0.00035107487929053605,
-0.002780094277113676,
-0.04530293494462967,
-0.03419598564505577,
-0.0468437597155571,
-0.028972642496228218,
-0.02493036910891533,
-0.01498621329665184,
0.07538801431655884,
0.030472775921225548,
0.010747887194156647,
-0.025953009724617004,
0.06408573687076569,
-0.040001627057790756,
0.006990151479840279,
0.02207956835627556,
0.06496874243021011,
0.10727318376302719,
0.007142561953514814,
-0.014207545667886734,
-0.08100084960460663,
-0.05205433815717697,
-0.02820507250726223,
0.02683602273464203,
-0.03412972018122673,
0.010608009062707424,
-0.051137905567884445,
-0.05367492139339447,
-0.004958496894687414,
-0.057800594717264175,
-0.018154172226786613,
-0.012162410654127598,
-0.06847967207431793,
0.017421286553144455,
0.04841025173664093,
0.03589528053998947,
0.013522094115614891,
0.041555725038051605,
0.03336334601044655,
-0.1226053386926651,
-0.017652660608291626,
-0.01835763081908226,
0.10387388616800308,
0.11787597835063934,
-0.041268736124038696,
-0.06577596813440323,
-0.0216912142932415,
0.036293286830186844,
0.032777924090623856,
0.010182026773691177,
0.04379512742161751,
0.030292367562651634,
-0.016112660989165306,
-0.022402651607990265,
-0.043511711061000824,
0.0010691641364246607,
0.06246807053685188,
-0.040253810584545135,
-0.05593351647257805,
-0.023591751232743263,
-0.014773160219192505,
0.018622085452079773,
-0.03571784496307373,
-0.00937537383288145,
-0.03824906796216965,
0.005686442833393812,
0.06238558515906334,
0.015735764056444168,
-0.029045753180980682,
-0.08899705857038498,
-0.0018435698002576828,
-0.0410812571644783,
-0.08024390786886215,
0.034791309386491776,
0.013224827125668526,
0.008750022388994694,
-0.0031348082702606916,
0.0625932365655899,
0.060146063566207886,
-4.0052585954789185e-33,
-0.02897241897881031,
0.06046338379383087,
0.03747155889868736,
0.006080046761780977,
-0.07105492055416107,
-0.1421247273683548,
0.041634004563093185,
-0.03202585503458977,
0.02429180219769478,
0.05295160040259361,
-0.00851543340831995,
-0.09749175608158112,
0.004213528707623482,
-0.018932579085230827,
0.0035214165691286325,
-0.012975544668734074,
-0.039313096553087234,
0.03128177300095558,
-0.027798712253570557,
0.004405764862895012,
0.032590124756097794,
0.018920131027698517,
-0.029019910842180252,
-0.09329929947853088,
0.043872032314538956,
0.12362026423215866,
0.020261870697140694,
-0.021039651706814766,
-0.03899508714675903,
0.022718006744980812,
-0.0030908992048352957,
-0.06537513434886932,
0.036597661674022675,
-0.08019662648439407,
0.1270124465227127,
0.033130671828985214,
-0.02557397447526455,
0.06961297988891602,
0.05812982842326164,
0.005228325258940458,
0.08463043719530106,
-0.0035744502674788237,
-0.042791180312633514,
0.03317385911941528,
-0.029132861644029617,
-0.035091549158096313,
-0.019205661490559578,
-0.0006591906421817839,
-0.07617387175559998,
-0.036830153316259384,
-0.003067809622734785,
0.0879540741443634,
-0.00925036147236824,
-0.03641068935394287,
0.07819715142250061,
-0.06551200896501541,
-0.001002228120341897,
0.06892696022987366,
-0.08236562460660934,
-0.003672816092148423,
0.052644722163677216,
-0.0436246395111084,
-0.010736798867583275,
0.07604004442691803,
0.06776947528123856,
-0.02407766506075859,
0.027185602113604546,
-0.10768191516399384,
-0.01472819596529007,
0.09979094564914703,
0.038571350276470184,
0.0755259245634079,
-0.05554696172475815,
-0.05869302153587341,
0.11294391006231308,
-0.004491116385906935,
0.0021740926895290613,
0.0011681823525577784,
-0.008909016847610474,
0.011417561210691929,
-0.05648384243249893,
0.05955428630113602,
-0.05003393441438675,
-0.04795122146606445,
-0.11351364105939865,
0.05886850878596306,
-0.011690246872603893,
0.07235902547836304,
0.021529121324419975,
0.0027198477182537317,
-0.005181008949875832,
0.042813029140233994,
-0.009396308101713657,
0.02758878283202648,
-0.016152195632457733,
-4.034421863252646e-8,
-0.031312063336372375,
0.05928410589694977,
-0.04310617968440056,
-0.008256261236965656,
0.09082230180501938,
0.016401730477809906,
0.05985132232308388,
-0.05919240042567253,
-0.06262358278036118,
0.06573020666837692,
0.10774552822113037,
-0.014214581809937954,
-0.13476648926734924,
0.008145724423229694,
-0.011961670592427254,
-0.018144773319363594,
-0.10903353244066238,
-0.0903681144118309,
-0.045908063650131226,
0.047279320657253265,
-0.11888818442821503,
0.03135983645915985,
-0.062494102865457535,
0.050629500299692154,
-0.036018021404743195,
-0.04045720398426056,
-0.036296531558036804,
0.02185004949569702,
0.01247977465391159,
-0.005873318295925856,
-0.051679421216249466,
-0.0026921534445136786,
0.037421099841594696,
0.004494494292885065,
0.044253088533878326,
0.10902152955532074,
-0.037663109600543976,
0.037794943898916245,
-0.022727958858013153,
0.002269793301820755,
-0.06984981894493103,
0.07357528060674667,
-0.02651505172252655,
0.03853718191385269,
0.026737136766314507,
0.011821859516203403,
-0.035064347088336945,
-0.014643403701484203,
-0.05980537831783295,
-0.048552826046943665,
-0.04849020391702652,
-0.01169064361602068,
-0.053242456167936325,
-0.04506710171699524,
-0.06867551058530807,
0.018337776884436607,
0.026404969394207,
-0.00006740217941114679,
0.0634668692946434,
0.031234364956617355,
-0.05162355676293373,
-0.08338811993598938,
-0.017924318090081215,
-0.043755847960710526
] |
1402.2908
|
Sylvain Schmitz
|
Sylvain Schmitz and Philippe Schnoebelen
|
The Power of Well-Structured Systems
|
Invited talk
|
Proceedings of Concur 2013, Lecture Notes in Computer Science vol.
8052, pp. 5--24
|
10.1007/978-3-642-40184-8_2
| null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Well-structured systems, aka WSTSs, are computational models where the set of
possible configurations is equipped with a well-quasi-ordering which is
compatible with the transition relation between configurations. This structure
supports generic decidability results that are important in verification and
several other fields.
This paper recalls the basic theory underlying well-structured systems and
shows how two classic decision algorithms can be formulated as an exhaustive
search for some "bad" sequences. This lets us describe new powerful techniques
for the complexity analysis of WSTS algorithms. Recently, these techniques have
been successful in precisely characterising the power, in a
complexity-theoretical sense, of several important WSTS models like unreliable
channel systems, monotonic counter machines, or networks of timed systems.
|
[
{
"created": "Wed, 12 Feb 2014 17:35:34 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Schmitz",
"Sylvain",
""
],
[
"Schnoebelen",
"Philippe",
""
]
] |
[
-0.02492598444223404,
0.06428106129169464,
0.025625405833125114,
-0.013245358131825924,
0.05742982029914856,
-0.06393402814865112,
-0.015959976240992546,
-0.009717755019664764,
0.02406707964837551,
0.021985910832881927,
-0.09025085717439651,
0.05432552471756935,
-0.0028802226297557354,
0.02108663134276867,
-0.053305838257074356,
-0.05448605492711067,
0.030135801061987877,
-0.03286166489124298,
0.019971253350377083,
-0.041014425456523895,
0.005479604937136173,
0.021594278514385223,
-0.03786749765276909,
-0.041318122297525406,
-0.00036676335730589926,
0.04312587529420853,
-0.05031042918562889,
-0.04297409951686859,
0.02378392219543457,
-0.0070818145759403706,
-0.032966069877147675,
-0.005117172375321388,
0.00025765885948203504,
-0.020648891106247902,
0.02683304436504841,
0.06286604702472687,
0.13041582703590393,
-0.06737208366394043,
0.0035669603385031223,
0.08727149665355682,
-0.028676295652985573,
-0.009979207068681717,
0.057368647307157516,
0.045420367270708084,
-0.03679526969790459,
-0.0036721930373460054,
0.005174725782126188,
-0.013856177218258381,
-0.09948758035898209,
-0.016590159386396408,
-0.07863835990428925,
0.038469232618808746,
-0.0203049648553133,
0.05312308669090271,
0.03686623275279999,
0.032622966915369034,
0.002176312729716301,
0.06038106232881546,
-0.07470720261335373,
-0.04160303249955177,
-0.004856450017541647,
-0.08442661911249161,
-0.07856202125549316,
-0.02501055970788002,
0.0595426969230175,
0.1080646887421608,
-0.05566776171326637,
0.05891706421971321,
-0.004242661874741316,
0.06490252912044525,
-0.05158174782991409,
-0.013420382514595985,
-0.015808485448360443,
0.10409711301326752,
-0.025514602661132812,
-0.02124166674911976,
0.06832943111658096,
0.02432256005704403,
-0.02195028029382229,
0.004705085419118404,
-0.012547396123409271,
-0.023615075275301933,
-0.06090734526515007,
-0.018714169040322304,
0.07928939163684845,
-0.06256669759750366,
-0.0329933688044548,
0.006634302902966738,
0.0994158685207367,
0.040848709642887115,
-0.06151127442717552,
-0.0609852634370327,
0.08291731774806976,
0.05011235922574997,
0.10628588497638702,
-0.008130659349262714,
0.06677015125751495,
0.023672426119446754,
0.013324139639735222,
0.045357830822467804,
-0.03191347047686577,
0.004460780415683985,
-0.03022218868136406,
-0.0846535786986351,
0.022656243294477463,
-0.0013812166871502995,
-0.0034641320817172527,
0.06699357181787491,
0.01512871403247118,
-0.09346406906843185,
0.014601055532693863,
0.03326140716671944,
0.09765593707561493,
0.06741482019424438,
0.01798705942928791,
-0.002689656801521778,
-0.010639048181474209,
-0.019958367571234703,
-0.01941409334540367,
-0.030206572264432907,
0.0706876590847969,
-0.0224386528134346,
0.07173570245504379,
0.005322555545717478,
-0.024276718497276306,
0.04217686876654625,
0.07379087060689926,
1.6756174222582532e-33,
-0.060041964054107666,
0.026122579351067543,
-0.026270976290106773,
0.009410287253558636,
0.009069358929991722,
0.021298497915267944,
0.018008163198828697,
-0.04014139994978905,
-0.036911532282829285,
0.0806429386138916,
0.0104350745677948,
0.01873081363737583,
-0.024322280660271645,
0.010575034655630589,
0.1341659128665924,
0.012893232516944408,
0.08263678848743439,
0.013771741650998592,
0.020137691870331764,
-0.07986832410097122,
0.13037647306919098,
-0.06271862238645554,
-0.02079218253493309,
-0.12976814806461334,
0.05644431710243225,
-0.016182580962777138,
-0.030064033344388008,
0.022485440596938133,
0.05856115370988846,
-0.00014272086264099926,
-0.0186479352414608,
-0.050975628197193146,
0.06319618970155716,
0.08067770302295685,
0.013740657828748226,
0.009671753272414207,
-0.01001169253140688,
-0.03446680307388306,
0.01114982645958662,
-0.11828166246414185,
-0.02488856017589569,
-0.052504681050777435,
-0.048157013952732086,
0.04951193556189537,
0.011873070150613785,
-0.0687410831451416,
-0.041799698024988174,
-0.028204945847392082,
-0.0423932708799839,
-0.0549299381673336,
0.03704969212412834,
0.013803261332213879,
-0.04901022091507912,
0.016480879858136177,
0.01540838461369276,
-0.00831636507064104,
0.005318176932632923,
0.08145739138126373,
-0.025578273460268974,
0.13966214656829834,
0.011843524873256683,
0.02873039059340954,
-0.044494375586509705,
-0.060456518083810806,
-0.02029457874596119,
0.08858860284090042,
-0.07668980956077576,
-0.03602500632405281,
0.06321997195482254,
0.0061806500889360905,
-0.007288788445293903,
-0.01791961118578911,
-0.04729333147406578,
0.026431452482938766,
0.020923305302858353,
-0.026711486279964447,
0.08034808188676834,
-0.040796250104904175,
-0.08220084756612778,
0.003158819628879428,
0.016299230977892876,
0.053565606474876404,
0.0029004784300923347,
0.08374246954917908,
0.026939913630485535,
-0.049774784594774246,
-0.06538277864456177,
0.029498113319277763,
-0.06152632087469101,
-0.028381390497088432,
-0.12632447481155396,
0.056657981127500534,
0.08687341958284378,
-0.0009145697113126516,
0.004212396219372749,
-2.1649994140635803e-33,
-0.00653099874034524,
-0.06932187080383301,
0.0530097521841526,
0.08547886461019516,
0.0003452554519753903,
-0.11399790644645691,
-0.1561645269393921,
-0.028299300000071526,
0.05448713153600693,
-0.011215267702937126,
0.01267872005701065,
-0.030522560700774193,
0.0339287593960762,
-0.050771769136190414,
0.10596028715372086,
-0.06337238103151321,
0.023208104074001312,
-0.06600254774093628,
0.04874005168676376,
-0.002606793539598584,
0.11989182978868484,
0.035330887883901596,
-0.07155529409646988,
-0.06700149178504944,
0.02921711467206478,
0.10284580290317535,
-0.09856471419334412,
0.03444064036011696,
0.01846700720489025,
0.0094217574223876,
-0.018688345327973366,
-0.08109709620475769,
-0.03767833858728409,
0.04139101132750511,
0.08887182176113129,
0.020168814808130264,
-0.015667537227272987,
0.014512423425912857,
-0.04404577612876892,
0.012300516478717327,
0.046813346445560455,
-0.016075927764177322,
-0.0358184315264225,
-0.0324363075196743,
-0.006134897004812956,
0.012761012651026249,
-0.014708632603287697,
0.10154325515031815,
-0.0009833810618147254,
-0.02837202697992325,
0.023609595373272896,
-0.021370358765125275,
-0.023488782346248627,
0.07641509920358658,
0.026027359068393707,
0.04841022938489914,
-0.020615695044398308,
0.06632374972105026,
0.0734729990363121,
-0.017081400379538536,
-0.02581867389380932,
-0.07677403837442398,
0.005377255380153656,
0.07592453807592392,
0.0701688602566719,
-0.05511557683348656,
-0.08588606119155884,
-0.03354810178279877,
0.04984552040696144,
-0.0022897038143128157,
-0.0040031480602920055,
0.03372550755739212,
-0.06026063114404678,
0.015978772193193436,
0.0017396622570231557,
-0.019999708980321884,
-0.03190961480140686,
0.05149025842547417,
0.02027132362127304,
0.0033184445928782225,
-0.052983563393354416,
0.0862349346280098,
-0.002927684923633933,
-0.016671596094965935,
-0.0020646362099796534,
0.07514214515686035,
0.055525925010442734,
0.012273908592760563,
0.0052314684726297855,
-0.010832853615283966,
0.042947813868522644,
-0.03103749081492424,
0.030416833236813545,
0.036364663392305374,
-0.037806104868650436,
-4.29160351700375e-8,
-0.06203556805849075,
-0.09877948462963104,
-0.01292295940220356,
-0.05373562499880791,
0.024074820801615715,
-0.028838859871029854,
0.013211485929787159,
-0.048916734755039215,
0.02632525935769081,
-0.06281755864620209,
0.04254525154829025,
0.0336967334151268,
-0.003968919161707163,
-0.027875395491719246,
-0.028661686927080154,
-0.02857884019613266,
-0.032935138791799545,
-0.06051758676767349,
-0.02141670323908329,
0.000018739994629868306,
0.008308212272822857,
-0.048130325973033905,
0.08188216388225555,
0.09308783710002899,
-0.029307754710316658,
0.00802768487483263,
0.013015449047088623,
-0.002011766191571951,
-0.0012042791349813342,
0.08011611551046371,
0.017070049419999123,
0.08812353014945984,
0.06727463752031326,
0.07794396579265594,
-0.012717816047370434,
0.032055944204330444,
-0.06318894028663635,
0.03256448730826378,
-0.008455987088382244,
-0.051840417087078094,
0.01962105743587017,
0.055513881146907806,
-0.10491705685853958,
0.0735759437084198,
0.008298655971884727,
-0.08896111696958542,
0.038624994456768036,
-0.03519842401146889,
-0.09818532317876816,
-0.06373930722475052,
-0.030789833515882492,
0.04555252566933632,
-0.019630426540970802,
-0.06796565651893616,
-0.06506069749593735,
0.03849201649427414,
0.032881688326597214,
-0.09265460073947906,
-0.013665806502103806,
0.017651107162237167,
-0.020660847425460815,
0.06743773072957993,
0.04650036618113518,
-0.031827960163354874
] | null | null | null | null | null | null | null |
[
-0.02492598444223404,
0.06428106129169464,
0.025625405833125114,
-0.013245358131825924,
0.05742982029914856,
-0.06393402814865112,
-0.015959976240992546,
-0.009717755019664764,
0.02406707964837551,
0.021985910832881927,
-0.09025085717439651,
0.05432552471756935,
-0.0028802226297557354,
0.02108663134276867,
-0.053305838257074356,
-0.05448605492711067,
0.030135801061987877,
-0.03286166489124298,
0.019971253350377083,
-0.041014425456523895,
0.005479604937136173,
0.021594278514385223,
-0.03786749765276909,
-0.041318122297525406,
-0.00036676335730589926,
0.04312587529420853,
-0.05031042918562889,
-0.04297409951686859,
0.02378392219543457,
-0.0070818145759403706,
-0.032966069877147675,
-0.005117172375321388,
0.00025765885948203504,
-0.020648891106247902,
0.02683304436504841,
0.06286604702472687,
0.13041582703590393,
-0.06737208366394043,
0.0035669603385031223,
0.08727149665355682,
-0.028676295652985573,
-0.009979207068681717,
0.057368647307157516,
0.045420367270708084,
-0.03679526969790459,
-0.0036721930373460054,
0.005174725782126188,
-0.013856177218258381,
-0.09948758035898209,
-0.016590159386396408,
-0.07863835990428925,
0.038469232618808746,
-0.0203049648553133,
0.05312308669090271,
0.03686623275279999,
0.032622966915369034,
0.002176312729716301,
0.06038106232881546,
-0.07470720261335373,
-0.04160303249955177,
-0.004856450017541647,
-0.08442661911249161,
-0.07856202125549316,
-0.02501055970788002,
0.0595426969230175,
0.1080646887421608,
-0.05566776171326637,
0.05891706421971321,
-0.004242661874741316,
0.06490252912044525,
-0.05158174782991409,
-0.013420382514595985,
-0.015808485448360443,
0.10409711301326752,
-0.025514602661132812,
-0.02124166674911976,
0.06832943111658096,
0.02432256005704403,
-0.02195028029382229,
0.004705085419118404,
-0.012547396123409271,
-0.023615075275301933,
-0.06090734526515007,
-0.018714169040322304,
0.07928939163684845,
-0.06256669759750366,
-0.0329933688044548,
0.006634302902966738,
0.0994158685207367,
0.040848709642887115,
-0.06151127442717552,
-0.0609852634370327,
0.08291731774806976,
0.05011235922574997,
0.10628588497638702,
-0.008130659349262714,
0.06677015125751495,
0.023672426119446754,
0.013324139639735222,
0.045357830822467804,
-0.03191347047686577,
0.004460780415683985,
-0.03022218868136406,
-0.0846535786986351,
0.022656243294477463,
-0.0013812166871502995,
-0.0034641320817172527,
0.06699357181787491,
0.01512871403247118,
-0.09346406906843185,
0.014601055532693863,
0.03326140716671944,
0.09765593707561493,
0.06741482019424438,
0.01798705942928791,
-0.002689656801521778,
-0.010639048181474209,
-0.019958367571234703,
-0.01941409334540367,
-0.030206572264432907,
0.0706876590847969,
-0.0224386528134346,
0.07173570245504379,
0.005322555545717478,
-0.024276718497276306,
0.04217686876654625,
0.07379087060689926,
1.6756174222582532e-33,
-0.060041964054107666,
0.026122579351067543,
-0.026270976290106773,
0.009410287253558636,
0.009069358929991722,
0.021298497915267944,
0.018008163198828697,
-0.04014139994978905,
-0.036911532282829285,
0.0806429386138916,
0.0104350745677948,
0.01873081363737583,
-0.024322280660271645,
0.010575034655630589,
0.1341659128665924,
0.012893232516944408,
0.08263678848743439,
0.013771741650998592,
0.020137691870331764,
-0.07986832410097122,
0.13037647306919098,
-0.06271862238645554,
-0.02079218253493309,
-0.12976814806461334,
0.05644431710243225,
-0.016182580962777138,
-0.030064033344388008,
0.022485440596938133,
0.05856115370988846,
-0.00014272086264099926,
-0.0186479352414608,
-0.050975628197193146,
0.06319618970155716,
0.08067770302295685,
0.013740657828748226,
0.009671753272414207,
-0.01001169253140688,
-0.03446680307388306,
0.01114982645958662,
-0.11828166246414185,
-0.02488856017589569,
-0.052504681050777435,
-0.048157013952732086,
0.04951193556189537,
0.011873070150613785,
-0.0687410831451416,
-0.041799698024988174,
-0.028204945847392082,
-0.0423932708799839,
-0.0549299381673336,
0.03704969212412834,
0.013803261332213879,
-0.04901022091507912,
0.016480879858136177,
0.01540838461369276,
-0.00831636507064104,
0.005318176932632923,
0.08145739138126373,
-0.025578273460268974,
0.13966214656829834,
0.011843524873256683,
0.02873039059340954,
-0.044494375586509705,
-0.060456518083810806,
-0.02029457874596119,
0.08858860284090042,
-0.07668980956077576,
-0.03602500632405281,
0.06321997195482254,
0.0061806500889360905,
-0.007288788445293903,
-0.01791961118578911,
-0.04729333147406578,
0.026431452482938766,
0.020923305302858353,
-0.026711486279964447,
0.08034808188676834,
-0.040796250104904175,
-0.08220084756612778,
0.003158819628879428,
0.016299230977892876,
0.053565606474876404,
0.0029004784300923347,
0.08374246954917908,
0.026939913630485535,
-0.049774784594774246,
-0.06538277864456177,
0.029498113319277763,
-0.06152632087469101,
-0.028381390497088432,
-0.12632447481155396,
0.056657981127500534,
0.08687341958284378,
-0.0009145697113126516,
0.004212396219372749,
-2.1649994140635803e-33,
-0.00653099874034524,
-0.06932187080383301,
0.0530097521841526,
0.08547886461019516,
0.0003452554519753903,
-0.11399790644645691,
-0.1561645269393921,
-0.028299300000071526,
0.05448713153600693,
-0.011215267702937126,
0.01267872005701065,
-0.030522560700774193,
0.0339287593960762,
-0.050771769136190414,
0.10596028715372086,
-0.06337238103151321,
0.023208104074001312,
-0.06600254774093628,
0.04874005168676376,
-0.002606793539598584,
0.11989182978868484,
0.035330887883901596,
-0.07155529409646988,
-0.06700149178504944,
0.02921711467206478,
0.10284580290317535,
-0.09856471419334412,
0.03444064036011696,
0.01846700720489025,
0.0094217574223876,
-0.018688345327973366,
-0.08109709620475769,
-0.03767833858728409,
0.04139101132750511,
0.08887182176113129,
0.020168814808130264,
-0.015667537227272987,
0.014512423425912857,
-0.04404577612876892,
0.012300516478717327,
0.046813346445560455,
-0.016075927764177322,
-0.0358184315264225,
-0.0324363075196743,
-0.006134897004812956,
0.012761012651026249,
-0.014708632603287697,
0.10154325515031815,
-0.0009833810618147254,
-0.02837202697992325,
0.023609595373272896,
-0.021370358765125275,
-0.023488782346248627,
0.07641509920358658,
0.026027359068393707,
0.04841022938489914,
-0.020615695044398308,
0.06632374972105026,
0.0734729990363121,
-0.017081400379538536,
-0.02581867389380932,
-0.07677403837442398,
0.005377255380153656,
0.07592453807592392,
0.0701688602566719,
-0.05511557683348656,
-0.08588606119155884,
-0.03354810178279877,
0.04984552040696144,
-0.0022897038143128157,
-0.0040031480602920055,
0.03372550755739212,
-0.06026063114404678,
0.015978772193193436,
0.0017396622570231557,
-0.019999708980321884,
-0.03190961480140686,
0.05149025842547417,
0.02027132362127304,
0.0033184445928782225,
-0.052983563393354416,
0.0862349346280098,
-0.002927684923633933,
-0.016671596094965935,
-0.0020646362099796534,
0.07514214515686035,
0.055525925010442734,
0.012273908592760563,
0.0052314684726297855,
-0.010832853615283966,
0.042947813868522644,
-0.03103749081492424,
0.030416833236813545,
0.036364663392305374,
-0.037806104868650436,
-4.29160351700375e-8,
-0.06203556805849075,
-0.09877948462963104,
-0.01292295940220356,
-0.05373562499880791,
0.024074820801615715,
-0.028838859871029854,
0.013211485929787159,
-0.048916734755039215,
0.02632525935769081,
-0.06281755864620209,
0.04254525154829025,
0.0336967334151268,
-0.003968919161707163,
-0.027875395491719246,
-0.028661686927080154,
-0.02857884019613266,
-0.032935138791799545,
-0.06051758676767349,
-0.02141670323908329,
0.000018739994629868306,
0.008308212272822857,
-0.048130325973033905,
0.08188216388225555,
0.09308783710002899,
-0.029307754710316658,
0.00802768487483263,
0.013015449047088623,
-0.002011766191571951,
-0.0012042791349813342,
0.08011611551046371,
0.017070049419999123,
0.08812353014945984,
0.06727463752031326,
0.07794396579265594,
-0.012717816047370434,
0.032055944204330444,
-0.06318894028663635,
0.03256448730826378,
-0.008455987088382244,
-0.051840417087078094,
0.01962105743587017,
0.055513881146907806,
-0.10491705685853958,
0.0735759437084198,
0.008298655971884727,
-0.08896111696958542,
0.038624994456768036,
-0.03519842401146889,
-0.09818532317876816,
-0.06373930722475052,
-0.030789833515882492,
0.04555252566933632,
-0.019630426540970802,
-0.06796565651893616,
-0.06506069749593735,
0.03849201649427414,
0.032881688326597214,
-0.09265460073947906,
-0.013665806502103806,
0.017651107162237167,
-0.020660847425460815,
0.06743773072957993,
0.04650036618113518,
-0.031827960163354874
] |
1402.2910
|
Leonid Slepyan I
|
Mark Ayzenberg-Stepanenko, Gennady Mishuris, Leonid Slepyan
|
Brittle fracture in a periodic structure with internal potential energy.
Spontaneous crack propagation
|
16 Figures
| null |
10.1098/rspa.2014.0121
| null |
cond-mat.soft physics.class-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spontaneous brittle fracture is studied based on the recently introduced
model (Mishuris and Slepyan, Brittle fracture in a periodic structure with
internal potential energy. Proc. Roy. Soc. A, in press). A periodic structure
is considered, where only the prospective crack-path layer is specified as a
discrete set of alternating initially stretched and compressed bonds. A bridged
crack destroying initially stretched bonds may propagate under a certain level
of the internal energy without external sources. The general analytical
solution with the crack speed $-$ energy relation is presented in terms of the
crack-related dynamic Green's function. For the anisotropic two-line chain and
lattice considered earlier in quasi-statics, the dynamic problem is examined in
detail. The crack speed is found to grow unboundedly as the energy approaches
its upper limit. It is revealed that the spontaneous fracture can occur in the
form of a pure bridged, partially bridged or fully open crack depending on the
internal energy level. Generally, the steady-state mode of the crack
propagation is found to be realised, whereas an irregular growth, clustering
and the crack speed oscillations are detected in a vicinity of the lower bound
of the energy.
|
[
{
"created": "Wed, 12 Feb 2014 17:45:42 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Ayzenberg-Stepanenko",
"Mark",
""
],
[
"Mishuris",
"Gennady",
""
],
[
"Slepyan",
"Leonid",
""
]
] |
[
-0.10795386135578156,
-0.02545395866036415,
0.08498819917440414,
0.04903312027454376,
-0.02137552574276924,
-0.08485737442970276,
-0.04876913130283356,
0.09154123812913895,
0.03657706454396248,
0.005663843359798193,
-0.043415360152721405,
-0.018658313900232315,
-0.02391730807721615,
0.00021648478286806494,
0.11574952304363251,
0.026086902245879173,
-0.06822296231985092,
-0.05774778500199318,
-0.02510727196931839,
0.07373382151126862,
0.03364472836256027,
-0.04423012211918831,
-0.04715606942772865,
-0.06124786287546158,
0.007617725990712643,
0.0031390164513140917,
-0.003974627237766981,
0.05878937616944313,
0.05983971431851387,
-0.04112134501338005,
0.035577766597270966,
-0.024522004649043083,
-0.017783544957637787,
0.06771687418222427,
0.07480335980653763,
0.0004425523220561445,
-0.03193940222263336,
0.03379281982779503,
-0.0657162293791771,
-0.029093872755765915,
-0.05891336873173714,
0.10358624160289764,
0.01870894245803356,
0.046872418373823166,
0.03164837881922722,
-0.03714397922158241,
0.027463464066386223,
0.012372728437185287,
-0.01840488612651825,
0.006369352340698242,
-0.019830744713544846,
0.04150145873427391,
0.036756474524736404,
0.08557051420211792,
0.02464902214705944,
0.017157748341560364,
-0.00748933432623744,
-0.004538944456726313,
-0.0074903699569404125,
-0.0017395707545801997,
0.07413610070943832,
0.038133252412080765,
0.06649523228406906,
-0.006627194117754698,
0.08076228201389313,
0.07349558919668198,
0.07502315193414688,
0.052810583263635635,
0.03181816264986992,
0.04687299579381943,
-0.016899937763810158,
-0.028832856565713882,
0.01010203454643488,
-0.0536910742521286,
0.07140485942363739,
0.012161140330135822,
-0.08224476128816605,
0.022849373519420624,
-0.05299689620733261,
0.004990670830011368,
-0.04427563399076462,
-0.02853119745850563,
-0.005876355804502964,
-0.10224304348230362,
0.013157251290977001,
0.060968589037656784,
-0.00453871488571167,
0.030283454805612564,
0.07301555573940277,
0.02032550610601902,
0.020860163494944572,
0.11610099673271179,
-0.041208136826753616,
-0.000772531726397574,
0.08299963921308517,
0.045100390911102295,
-0.017513802275061607,
-0.022825419902801514,
-0.03112862817943096,
0.007994159124791622,
0.0007122226525098085,
-0.00004311749944463372,
-0.0012880879221484065,
0.015299549326300621,
0.027736721560359,
-0.069524846971035,
-0.05058995634317398,
0.13637001812458038,
0.0478874072432518,
0.0739598423242569,
0.06496556103229523,
-0.012434360571205616,
0.04338397830724716,
-0.050401471555233,
-0.017911382019519806,
-0.09230388700962067,
-0.0517234280705452,
0.0484311506152153,
-0.013147395104169846,
0.06325718760490417,
0.04284284636378288,
-0.06688059866428375,
-0.10531249642372131,
-0.009918165393173695,
-0.09359651803970337,
-0.05550079420208931,
-0.04327903687953949,
1.609544354166471e-33,
-0.034937236458063126,
-0.022229259833693504,
0.05870062857866287,
-0.024302497506141663,
-0.008706992492079735,
-0.0524495504796505,
-0.05469830706715584,
0.02351479046046734,
-0.07300311326980591,
0.004044928587973118,
-0.0618271604180336,
-0.059082817286252975,
0.05265239626169205,
-0.030847247689962387,
0.01773020252585411,
0.014122240245342255,
0.004700188059359789,
-0.04019864648580551,
0.0177462138235569,
0.02625948190689087,
-0.043252479285001755,
-0.03660641238093376,
0.10988282412290573,
-0.00505901500582695,
0.018609482795000076,
-0.0476958267390728,
0.07150032371282578,
-0.0509418249130249,
-0.03769169747829437,
-0.017265981063246727,
-0.04401743784546852,
-0.0012689759023487568,
-0.051419541239738464,
0.08626428991556168,
0.03719601407647133,
-0.05121806263923645,
0.033716801553964615,
0.046290744096040726,
-0.05794764682650566,
0.04831494018435478,
-0.06952828913927078,
-0.06504025310277939,
0.11414515227079391,
0.059869151562452316,
0.03737400099635124,
-0.030613765120506287,
0.03436368703842163,
0.09722577780485153,
-0.07584807276725769,
-0.018500391393899918,
-0.039757195860147476,
0.05761866644024849,
-0.011889507062733173,
0.012842887081205845,
-0.0438617505133152,
0.04166799783706665,
0.08114349097013474,
-0.019854022189974785,
0.008968599140644073,
0.06355036050081253,
0.03550011292099953,
0.0010589439189061522,
0.03329189494252205,
0.04752401262521744,
-0.003463414963334799,
0.08011408150196075,
-0.08981882035732269,
-0.005602032877504826,
0.08014532923698425,
-0.01996767707169056,
0.05692872777581215,
-0.006877745036035776,
-0.00582027155905962,
-0.027243362739682198,
0.006725065875798464,
-0.02845512330532074,
-0.02286977507174015,
-0.014172437600791454,
0.0021203290671110153,
0.07318762689828873,
-0.05177804082632065,
-0.0749913901090622,
0.0010931676952168345,
0.04056907817721367,
-0.09403756260871887,
0.014464488252997398,
0.035298027098178864,
-0.043752916157245636,
0.034894909709692,
0.013289066962897778,
0.01998736336827278,
-0.07828740775585175,
0.03038332425057888,
-0.059616655111312866,
0.07533521205186844,
-3.2217791210283864e-33,
0.0655953660607338,
0.00759560102596879,
-0.018160339444875717,
-0.024337301030755043,
0.1268516629934311,
-0.029085369780659676,
-0.10038532316684723,
0.07207146286964417,
0.02663291245698929,
-0.01864943653345108,
0.0656149610877037,
0.005378874018788338,
-0.14012213051319122,
0.07701925188302994,
-0.059646423906087875,
0.0028586022090166807,
-0.014999712817370892,
-0.05233610421419144,
0.013054789043962955,
0.0748305693268776,
-0.0077490792609751225,
-0.01454327255487442,
-0.0163123719394207,
0.012422173283994198,
0.07969336211681366,
0.07844281941652298,
0.014990704134106636,
-0.02997887134552002,
-0.01860206015408039,
0.05077282339334488,
-0.028698323294520378,
0.07060269266366959,
-0.06044292822480202,
0.01219946052879095,
-0.011650102213025093,
0.07966960966587067,
-0.013952609151601791,
-0.04964384064078331,
0.0696411058306694,
-0.051203951239585876,
0.05333732068538666,
0.033206094056367874,
-0.057175952941179276,
-0.012225317768752575,
0.008152719587087631,
-0.07223448157310486,
0.00011826813715742901,
0.016857322305440903,
-0.06959271430969238,
0.032005928456783295,
0.0206542257219553,
0.0049157654866576195,
-0.022216377779841423,
-0.023977292701601982,
0.01900649629533291,
-0.002523756120353937,
-0.1393100470304489,
0.009309516288340092,
-0.07173927128314972,
0.005558421835303307,
-0.07752624899148941,
-0.016341349110007286,
0.061372511088848114,
0.02637314237654209,
-0.006849935743957758,
-0.13251739740371704,
-0.014533878304064274,
-0.089759461581707,
0.0005891745095141232,
-0.04892721399664879,
0.009724829345941544,
0.06298639625310898,
0.01880643144249916,
-0.02011779695749283,
-0.015935827046632767,
0.013264368288218975,
0.012049361132085323,
-0.04808501899242401,
-0.02768191508948803,
-0.020675955340266228,
-0.04849235340952873,
-0.03916769474744797,
-0.06114831566810608,
-0.011904514394700527,
-0.07751782983541489,
-0.06127706542611122,
0.04060737043619156,
0.08206717669963837,
0.0365060418844223,
-0.0636061355471611,
0.02675255760550499,
0.002317103324458003,
-0.02880035899579525,
0.06390297412872314,
-0.003978593274950981,
-5.2189495391985474e-8,
0.013124237768352032,
0.03009224683046341,
-0.07506024092435837,
-0.016537627205252647,
0.10140704363584518,
0.02924700640141964,
0.05970902740955353,
-0.05348005145788193,
0.051122091710567474,
-0.05536702647805214,
0.03307821601629257,
-0.014197045937180519,
-0.03033473528921604,
-0.023351367563009262,
-0.129132479429245,
-0.003347800113260746,
0.023136001080274582,
0.06497954577207565,
-0.06105435639619827,
-0.08361457288265228,
-0.017508648335933685,
-0.020274624228477478,
0.0263604037463665,
0.05246247723698616,
-0.03879000246524811,
-0.055337999016046524,
-0.13811688125133514,
-0.1136440560221672,
-0.007105579599738121,
0.012255958281457424,
-0.08814586699008942,
-0.044212762266397476,
0.07632865756750107,
0.032866861671209335,
0.0015407291939482093,
0.026346134021878242,
-0.04674180597066879,
0.034008823335170746,
-0.042571116238832474,
0.008342137560248375,
0.006572199519723654,
0.06701196730136871,
0.05162161961197853,
-0.04396244138479233,
-0.02629903145134449,
-0.025308219715952873,
-0.056352511048316956,
0.05790887400507927,
0.06600682437419891,
0.06426843255758286,
-0.06762248277664185,
0.11468492448329926,
-0.036174383014440536,
-0.02242204174399376,
-0.0057343412190675735,
0.037911247462034225,
-0.013516059145331383,
0.03208144009113312,
-0.027352867648005486,
0.001357793458737433,
-0.00788375735282898,
-0.045677199959754944,
0.02126203663647175,
0.0026136611122637987
] | null | null | null | null | null | null | null |
[
-0.10795386135578156,
-0.02545395866036415,
0.08498819917440414,
0.04903312027454376,
-0.02137552574276924,
-0.08485737442970276,
-0.04876913130283356,
0.09154123812913895,
0.03657706454396248,
0.005663843359798193,
-0.043415360152721405,
-0.018658313900232315,
-0.02391730807721615,
0.00021648478286806494,
0.11574952304363251,
0.026086902245879173,
-0.06822296231985092,
-0.05774778500199318,
-0.02510727196931839,
0.07373382151126862,
0.03364472836256027,
-0.04423012211918831,
-0.04715606942772865,
-0.06124786287546158,
0.007617725990712643,
0.0031390164513140917,
-0.003974627237766981,
0.05878937616944313,
0.05983971431851387,
-0.04112134501338005,
0.035577766597270966,
-0.024522004649043083,
-0.017783544957637787,
0.06771687418222427,
0.07480335980653763,
0.0004425523220561445,
-0.03193940222263336,
0.03379281982779503,
-0.0657162293791771,
-0.029093872755765915,
-0.05891336873173714,
0.10358624160289764,
0.01870894245803356,
0.046872418373823166,
0.03164837881922722,
-0.03714397922158241,
0.027463464066386223,
0.012372728437185287,
-0.01840488612651825,
0.006369352340698242,
-0.019830744713544846,
0.04150145873427391,
0.036756474524736404,
0.08557051420211792,
0.02464902214705944,
0.017157748341560364,
-0.00748933432623744,
-0.004538944456726313,
-0.0074903699569404125,
-0.0017395707545801997,
0.07413610070943832,
0.038133252412080765,
0.06649523228406906,
-0.006627194117754698,
0.08076228201389313,
0.07349558919668198,
0.07502315193414688,
0.052810583263635635,
0.03181816264986992,
0.04687299579381943,
-0.016899937763810158,
-0.028832856565713882,
0.01010203454643488,
-0.0536910742521286,
0.07140485942363739,
0.012161140330135822,
-0.08224476128816605,
0.022849373519420624,
-0.05299689620733261,
0.004990670830011368,
-0.04427563399076462,
-0.02853119745850563,
-0.005876355804502964,
-0.10224304348230362,
0.013157251290977001,
0.060968589037656784,
-0.00453871488571167,
0.030283454805612564,
0.07301555573940277,
0.02032550610601902,
0.020860163494944572,
0.11610099673271179,
-0.041208136826753616,
-0.000772531726397574,
0.08299963921308517,
0.045100390911102295,
-0.017513802275061607,
-0.022825419902801514,
-0.03112862817943096,
0.007994159124791622,
0.0007122226525098085,
-0.00004311749944463372,
-0.0012880879221484065,
0.015299549326300621,
0.027736721560359,
-0.069524846971035,
-0.05058995634317398,
0.13637001812458038,
0.0478874072432518,
0.0739598423242569,
0.06496556103229523,
-0.012434360571205616,
0.04338397830724716,
-0.050401471555233,
-0.017911382019519806,
-0.09230388700962067,
-0.0517234280705452,
0.0484311506152153,
-0.013147395104169846,
0.06325718760490417,
0.04284284636378288,
-0.06688059866428375,
-0.10531249642372131,
-0.009918165393173695,
-0.09359651803970337,
-0.05550079420208931,
-0.04327903687953949,
1.609544354166471e-33,
-0.034937236458063126,
-0.022229259833693504,
0.05870062857866287,
-0.024302497506141663,
-0.008706992492079735,
-0.0524495504796505,
-0.05469830706715584,
0.02351479046046734,
-0.07300311326980591,
0.004044928587973118,
-0.0618271604180336,
-0.059082817286252975,
0.05265239626169205,
-0.030847247689962387,
0.01773020252585411,
0.014122240245342255,
0.004700188059359789,
-0.04019864648580551,
0.0177462138235569,
0.02625948190689087,
-0.043252479285001755,
-0.03660641238093376,
0.10988282412290573,
-0.00505901500582695,
0.018609482795000076,
-0.0476958267390728,
0.07150032371282578,
-0.0509418249130249,
-0.03769169747829437,
-0.017265981063246727,
-0.04401743784546852,
-0.0012689759023487568,
-0.051419541239738464,
0.08626428991556168,
0.03719601407647133,
-0.05121806263923645,
0.033716801553964615,
0.046290744096040726,
-0.05794764682650566,
0.04831494018435478,
-0.06952828913927078,
-0.06504025310277939,
0.11414515227079391,
0.059869151562452316,
0.03737400099635124,
-0.030613765120506287,
0.03436368703842163,
0.09722577780485153,
-0.07584807276725769,
-0.018500391393899918,
-0.039757195860147476,
0.05761866644024849,
-0.011889507062733173,
0.012842887081205845,
-0.0438617505133152,
0.04166799783706665,
0.08114349097013474,
-0.019854022189974785,
0.008968599140644073,
0.06355036050081253,
0.03550011292099953,
0.0010589439189061522,
0.03329189494252205,
0.04752401262521744,
-0.003463414963334799,
0.08011408150196075,
-0.08981882035732269,
-0.005602032877504826,
0.08014532923698425,
-0.01996767707169056,
0.05692872777581215,
-0.006877745036035776,
-0.00582027155905962,
-0.027243362739682198,
0.006725065875798464,
-0.02845512330532074,
-0.02286977507174015,
-0.014172437600791454,
0.0021203290671110153,
0.07318762689828873,
-0.05177804082632065,
-0.0749913901090622,
0.0010931676952168345,
0.04056907817721367,
-0.09403756260871887,
0.014464488252997398,
0.035298027098178864,
-0.043752916157245636,
0.034894909709692,
0.013289066962897778,
0.01998736336827278,
-0.07828740775585175,
0.03038332425057888,
-0.059616655111312866,
0.07533521205186844,
-3.2217791210283864e-33,
0.0655953660607338,
0.00759560102596879,
-0.018160339444875717,
-0.024337301030755043,
0.1268516629934311,
-0.029085369780659676,
-0.10038532316684723,
0.07207146286964417,
0.02663291245698929,
-0.01864943653345108,
0.0656149610877037,
0.005378874018788338,
-0.14012213051319122,
0.07701925188302994,
-0.059646423906087875,
0.0028586022090166807,
-0.014999712817370892,
-0.05233610421419144,
0.013054789043962955,
0.0748305693268776,
-0.0077490792609751225,
-0.01454327255487442,
-0.0163123719394207,
0.012422173283994198,
0.07969336211681366,
0.07844281941652298,
0.014990704134106636,
-0.02997887134552002,
-0.01860206015408039,
0.05077282339334488,
-0.028698323294520378,
0.07060269266366959,
-0.06044292822480202,
0.01219946052879095,
-0.011650102213025093,
0.07966960966587067,
-0.013952609151601791,
-0.04964384064078331,
0.0696411058306694,
-0.051203951239585876,
0.05333732068538666,
0.033206094056367874,
-0.057175952941179276,
-0.012225317768752575,
0.008152719587087631,
-0.07223448157310486,
0.00011826813715742901,
0.016857322305440903,
-0.06959271430969238,
0.032005928456783295,
0.0206542257219553,
0.0049157654866576195,
-0.022216377779841423,
-0.023977292701601982,
0.01900649629533291,
-0.002523756120353937,
-0.1393100470304489,
0.009309516288340092,
-0.07173927128314972,
0.005558421835303307,
-0.07752624899148941,
-0.016341349110007286,
0.061372511088848114,
0.02637314237654209,
-0.006849935743957758,
-0.13251739740371704,
-0.014533878304064274,
-0.089759461581707,
0.0005891745095141232,
-0.04892721399664879,
0.009724829345941544,
0.06298639625310898,
0.01880643144249916,
-0.02011779695749283,
-0.015935827046632767,
0.013264368288218975,
0.012049361132085323,
-0.04808501899242401,
-0.02768191508948803,
-0.020675955340266228,
-0.04849235340952873,
-0.03916769474744797,
-0.06114831566810608,
-0.011904514394700527,
-0.07751782983541489,
-0.06127706542611122,
0.04060737043619156,
0.08206717669963837,
0.0365060418844223,
-0.0636061355471611,
0.02675255760550499,
0.002317103324458003,
-0.02880035899579525,
0.06390297412872314,
-0.003978593274950981,
-5.2189495391985474e-8,
0.013124237768352032,
0.03009224683046341,
-0.07506024092435837,
-0.016537627205252647,
0.10140704363584518,
0.02924700640141964,
0.05970902740955353,
-0.05348005145788193,
0.051122091710567474,
-0.05536702647805214,
0.03307821601629257,
-0.014197045937180519,
-0.03033473528921604,
-0.023351367563009262,
-0.129132479429245,
-0.003347800113260746,
0.023136001080274582,
0.06497954577207565,
-0.06105435639619827,
-0.08361457288265228,
-0.017508648335933685,
-0.020274624228477478,
0.0263604037463665,
0.05246247723698616,
-0.03879000246524811,
-0.055337999016046524,
-0.13811688125133514,
-0.1136440560221672,
-0.007105579599738121,
0.012255958281457424,
-0.08814586699008942,
-0.044212762266397476,
0.07632865756750107,
0.032866861671209335,
0.0015407291939482093,
0.026346134021878242,
-0.04674180597066879,
0.034008823335170746,
-0.042571116238832474,
0.008342137560248375,
0.006572199519723654,
0.06701196730136871,
0.05162161961197853,
-0.04396244138479233,
-0.02629903145134449,
-0.025308219715952873,
-0.056352511048316956,
0.05790887400507927,
0.06600682437419891,
0.06426843255758286,
-0.06762248277664185,
0.11468492448329926,
-0.036174383014440536,
-0.02242204174399376,
-0.0057343412190675735,
0.037911247462034225,
-0.013516059145331383,
0.03208144009113312,
-0.027352867648005486,
0.001357793458737433,
-0.00788375735282898,
-0.045677199959754944,
0.02126203663647175,
0.0026136611122637987
] |
1402.2911
|
Jose D'Incao
|
V. E. Colussi, Chris H. Greene, and J. P. D'Incao
|
Three-body Physics in Strongly Correlated Spinor Condensates
|
5+ pages, 1 figure, and supplementary material (4 pages)
|
Phys. Rev. Lett. 113, 045302 (2014)
|
10.1103/PhysRevLett.113.045302
| null |
quant-ph cond-mat.quant-gas physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spinor condensates have proven to be a rich area for probing many-body
phenomena richer than that of an ultracold gas consisting of atoms restricted
to a single spin state. In the strongly correlated regime, the physics
controlling the possible novel phases of the condensate remains largely
unexplored, and few-body aspects can play a central role in the properties and
dynamics of the system through manifestations of Efimov physics. The present
study solves the three-body problem for bosonic spinors using the
hyperspherical adiabatic representation and characterizes the multiple families
of Efimov states in spinor systems as well as their signatures in the
scattering observables relevant for spinor condensates. These solutions exhibit
a rich array of possible phenomena originating in universal few-body physics,
which can strongly affect the spin dynamics and three-body mean-field
contributions for spinor condensates. The collisional aspects of atom-dimer
spinor condensates are also analyzed and effects are predicted that derive from
Efimov physics.
|
[
{
"created": "Wed, 12 Feb 2014 17:45:54 GMT",
"version": "v1"
}
] |
2014-12-30
|
[
[
"Colussi",
"V. E.",
""
],
[
"Greene",
"Chris H.",
""
],
[
"D'Incao",
"J. P.",
""
]
] |
[
-0.05548674985766411,
-0.029331153258681297,
-0.08347497135400772,
0.027887403964996338,
0.03706981614232063,
0.030325323343276978,
-0.03528021648526192,
-0.02374180406332016,
0.04456101357936859,
-0.06761439144611359,
-0.0011677993461489677,
-0.015776488929986954,
-0.0237139742821455,
-0.020308133214712143,
0.0779629498720169,
-0.011768171563744545,
-0.0442170649766922,
-0.03630936145782471,
-0.09774396568536758,
0.05721019208431244,
0.04589333012700081,
-0.027273716405034065,
0.09930042177438736,
0.07108715176582336,
-0.020948093384504318,
0.0004401291662361473,
0.10467338562011719,
-0.01867813616991043,
-0.035304050892591476,
-0.0022436450235545635,
0.0412178561091423,
0.009807286784052849,
-0.042446035891771317,
-0.009075436741113663,
0.009706703014671803,
-0.02648966759443283,
0.017332561314105988,
0.044203903526067734,
-0.024266215041279793,
-0.09174221009016037,
0.06931529194116592,
-0.023101266473531723,
-0.041425492614507675,
0.03755760192871094,
0.03777633234858513,
-0.02676866389811039,
0.04453444480895996,
0.0717652440071106,
0.06793174147605896,
-0.0683315321803093,
0.055726516991853714,
0.018910355865955353,
0.01374142151325941,
0.02798130176961422,
0.014819744043052197,
-0.009387301281094551,
-0.03625098615884781,
-0.07466398179531097,
-0.01459456142038107,
-0.13189171254634857,
0.01063109003007412,
0.04284486919641495,
0.06750306487083435,
-0.03807896003127098,
0.1557931751012802,
-0.008777577430009842,
0.04718814045190811,
0.06700815260410309,
-0.01435916405171156,
0.022715674713253975,
-0.06610389053821564,
0.017574701458215714,
-0.04612543061375618,
0.0420851893723011,
0.03674417361617088,
0.038506582379341125,
-0.05122997611761093,
0.024887224659323692,
0.0470864474773407,
0.04935005307197571,
0.006488809362053871,
-0.05726252496242523,
0.006528849247843027,
-0.03576468303799629,
-0.042552702128887177,
-0.0324685201048851,
-0.04623207077383995,
-0.016863137483596802,
-0.05598757043480873,
-0.038758743554353714,
-0.0626455619931221,
-0.12673793733119965,
0.018923776224255562,
-0.027268335223197937,
0.044542767107486725,
0.00383423687890172,
0.03944943845272064,
0.07217200845479965,
0.08596949279308319,
-0.03864028677344322,
0.038547445088624954,
-0.042229585349559784,
0.07377593964338303,
0.06330703943967819,
-0.04041804373264313,
0.06284474581480026,
0.1129508838057518,
0.05269821733236313,
-0.03358527645468712,
0.030641410499811172,
0.05843028426170349,
-0.07557284086942673,
0.08044122159481049,
-0.017299553379416466,
-0.030743440613150597,
0.04356683790683746,
0.03199569880962372,
0.12104444950819016,
0.0375312976539135,
-0.014873051084578037,
-0.011769471690058708,
0.10257626324892044,
0.06852888315916061,
-0.02680429443717003,
0.015059896744787693,
-0.03700980171561241,
-0.13545818626880646,
3.6074323689102855e-33,
0.04515868052840233,
0.009495790116488934,
0.009100795723497868,
0.061536550521850586,
0.05177509784698486,
0.0039781429804861546,
0.03496384248137474,
-0.048827726393938065,
0.004978646989911795,
0.029000772163271904,
0.020140528678894043,
-0.0658641904592514,
0.16303224861621857,
-0.03163699060678482,
-0.01000057253986597,
-0.06056259572505951,
-0.05863606184720993,
-0.0032189793419092894,
-0.017632562667131424,
0.009247002191841602,
0.04372691735625267,
0.09249287098646164,
-0.04001687839627266,
0.047681018710136414,
-0.0617784708738327,
0.03792325407266617,
-0.03776974976062775,
-0.04126082360744476,
-0.050789058208465576,
-0.01949094608426094,
0.09701147675514221,
0.04076153039932251,
-0.05581066384911537,
0.04274363815784454,
0.02736176736652851,
-0.05986671522259712,
-0.037545811384916306,
-0.005662744864821434,
-0.001050487277098,
-0.08111505210399628,
0.005441644694656134,
-0.10606814175844193,
-0.03462203964591026,
-0.009031472727656364,
-0.026918403804302216,
-0.012095894664525986,
0.10221303999423981,
0.018772749230265617,
0.02091725543141365,
-0.0703079104423523,
0.05279240757226944,
-0.058625638484954834,
-0.060506343841552734,
-0.002173858694732189,
0.09878517687320709,
-0.025232015177607536,
0.019293267279863358,
-0.013091053813695908,
0.00878702849149704,
-0.03090367466211319,
0.030704932287335396,
0.055649157613515854,
0.054198578000068665,
-0.006647792644798756,
-0.011154500767588615,
-0.009002603590488434,
-0.10037796944379807,
-0.039326492697000504,
0.025537068024277687,
0.02168954163789749,
0.049856603145599365,
0.07971453666687012,
0.03971683233976364,
-0.006933673284947872,
0.10676027089357376,
0.0522942878305912,
-0.0005545641761273146,
-0.0882999375462532,
-0.0375334657728672,
-0.006536463275551796,
-0.005581793375313282,
-0.011071622371673584,
-0.005235610529780388,
0.026981214061379433,
-0.13974714279174805,
0.015569652430713177,
-0.09846632182598114,
-0.040940847247838974,
-0.002368575893342495,
0.00633007800206542,
-0.05228600278496742,
-0.05271217226982117,
0.005419917404651642,
-0.08263923227787018,
-0.0344734750688076,
-5.3907502366298075e-33,
0.05672711879014969,
-0.026545120403170586,
0.046813394874334335,
-0.023339124396443367,
-0.00827692449092865,
0.023771779611706734,
0.02843111753463745,
-0.02414863370358944,
0.04414387792348862,
-0.096535325050354,
0.08055835962295532,
-0.019051488488912582,
-0.019074566662311554,
0.04136613756418228,
0.06960077583789825,
0.0986609235405922,
0.02035159431397915,
-0.09957943856716156,
0.06306074559688568,
-0.05098024383187294,
-0.007510218303650618,
0.0064162095077335835,
0.023884324356913567,
-0.05145389959216118,
-0.057744160294532776,
-0.043244507163763046,
0.04144973307847977,
-0.03728765621781349,
0.06364680081605911,
0.08324835449457169,
-0.0006051549571566284,
-0.04348023235797882,
-0.0037772110663354397,
0.07084168493747711,
-0.12173791229724884,
0.02140170894563198,
0.017948666587471962,
-0.07258263975381851,
-0.026437463238835335,
-0.05133752524852753,
-0.014657130464911461,
-0.021954761818051338,
-0.02477291226387024,
-0.03629510477185249,
0.02068382129073143,
-0.026157211512327194,
-0.004413200076669455,
-0.004188943188637495,
0.022363049909472466,
-0.03347214683890343,
-0.05156894400715828,
-0.05328023433685303,
0.03142993152141571,
0.059934064745903015,
-0.038693856447935104,
0.03694336116313934,
0.017712468281388283,
-0.025196924805641174,
0.056645382195711136,
-0.03409243002533913,
-0.010949579998850822,
0.001394664403051138,
0.08186732977628708,
0.022527240216732025,
-0.00033986152266152203,
-0.08196122944355011,
-0.040548037737607956,
-0.013693348504602909,
0.08961592614650726,
-0.06303679943084717,
0.004370720125734806,
-0.09477484226226807,
0.00548680080100894,
0.07681969553232193,
0.06570383906364441,
0.05805264785885811,
0.06745615601539612,
-0.11018513143062592,
-0.026272177696228027,
-0.07468400150537491,
-0.07676129043102264,
0.002656886586919427,
-0.06262204051017761,
-0.05244399979710579,
0.05660458654165268,
0.021106824278831482,
-0.033471882343292236,
0.028682183474302292,
-0.02812095358967781,
-0.0191760566085577,
0.04667125269770622,
0.008736204355955124,
0.10795120149850845,
0.017765045166015625,
0.02190062589943409,
-5.1701764647305026e-8,
0.019474854692816734,
-0.025683239102363586,
-0.023294027894735336,
0.014482791535556316,
0.026291582733392715,
0.04690506309270859,
-0.006444680970162153,
-0.04956773295998573,
-0.017781199887394905,
0.07071735709905624,
0.03283816948533058,
-0.063613660633564,
-0.027173306792974472,
-0.059477902948856354,
0.06008949130773544,
-0.039946503937244415,
-0.008086460642516613,
0.0061751799657940865,
-0.04780421033501625,
-0.11239496618509293,
-0.00967833399772644,
-0.0099443718791008,
-0.019401751458644867,
-0.030600320547819138,
0.010982044972479343,
0.036000218242406845,
-0.015508352778851986,
-0.08729974180459976,
-0.052171628922224045,
0.0016885959776118398,
-0.0345572866499424,
0.022197723388671875,
0.1156340166926384,
-0.01199091225862503,
-0.01672397367656231,
-0.027893953025341034,
-0.002862544497475028,
0.03275647014379501,
-0.037874288856983185,
0.08124201744794846,
0.019027184695005417,
0.06364056468009949,
0.017880385741591454,
-0.011918188072741032,
0.057431191205978394,
0.000569963944144547,
-0.05480055510997772,
0.013503401540219784,
0.0027961123269051313,
0.01219057198613882,
-0.046110186725854874,
0.036365434527397156,
0.023777322843670845,
0.041614849120378494,
-0.024806447327136993,
0.003676240099593997,
-0.0729561597108841,
0.01773032359778881,
0.09382834285497665,
0.04288722202181816,
0.09152143448591232,
0.037993572652339935,
-0.04630642384290695,
-0.023052019998431206
] | null | null | null | null | null | null | null |
[
-0.05548674985766411,
-0.029331153258681297,
-0.08347497135400772,
0.027887403964996338,
0.03706981614232063,
0.030325323343276978,
-0.03528021648526192,
-0.02374180406332016,
0.04456101357936859,
-0.06761439144611359,
-0.0011677993461489677,
-0.015776488929986954,
-0.0237139742821455,
-0.020308133214712143,
0.0779629498720169,
-0.011768171563744545,
-0.0442170649766922,
-0.03630936145782471,
-0.09774396568536758,
0.05721019208431244,
0.04589333012700081,
-0.027273716405034065,
0.09930042177438736,
0.07108715176582336,
-0.020948093384504318,
0.0004401291662361473,
0.10467338562011719,
-0.01867813616991043,
-0.035304050892591476,
-0.0022436450235545635,
0.0412178561091423,
0.009807286784052849,
-0.042446035891771317,
-0.009075436741113663,
0.009706703014671803,
-0.02648966759443283,
0.017332561314105988,
0.044203903526067734,
-0.024266215041279793,
-0.09174221009016037,
0.06931529194116592,
-0.023101266473531723,
-0.041425492614507675,
0.03755760192871094,
0.03777633234858513,
-0.02676866389811039,
0.04453444480895996,
0.0717652440071106,
0.06793174147605896,
-0.0683315321803093,
0.055726516991853714,
0.018910355865955353,
0.01374142151325941,
0.02798130176961422,
0.014819744043052197,
-0.009387301281094551,
-0.03625098615884781,
-0.07466398179531097,
-0.01459456142038107,
-0.13189171254634857,
0.01063109003007412,
0.04284486919641495,
0.06750306487083435,
-0.03807896003127098,
0.1557931751012802,
-0.008777577430009842,
0.04718814045190811,
0.06700815260410309,
-0.01435916405171156,
0.022715674713253975,
-0.06610389053821564,
0.017574701458215714,
-0.04612543061375618,
0.0420851893723011,
0.03674417361617088,
0.038506582379341125,
-0.05122997611761093,
0.024887224659323692,
0.0470864474773407,
0.04935005307197571,
0.006488809362053871,
-0.05726252496242523,
0.006528849247843027,
-0.03576468303799629,
-0.042552702128887177,
-0.0324685201048851,
-0.04623207077383995,
-0.016863137483596802,
-0.05598757043480873,
-0.038758743554353714,
-0.0626455619931221,
-0.12673793733119965,
0.018923776224255562,
-0.027268335223197937,
0.044542767107486725,
0.00383423687890172,
0.03944943845272064,
0.07217200845479965,
0.08596949279308319,
-0.03864028677344322,
0.038547445088624954,
-0.042229585349559784,
0.07377593964338303,
0.06330703943967819,
-0.04041804373264313,
0.06284474581480026,
0.1129508838057518,
0.05269821733236313,
-0.03358527645468712,
0.030641410499811172,
0.05843028426170349,
-0.07557284086942673,
0.08044122159481049,
-0.017299553379416466,
-0.030743440613150597,
0.04356683790683746,
0.03199569880962372,
0.12104444950819016,
0.0375312976539135,
-0.014873051084578037,
-0.011769471690058708,
0.10257626324892044,
0.06852888315916061,
-0.02680429443717003,
0.015059896744787693,
-0.03700980171561241,
-0.13545818626880646,
3.6074323689102855e-33,
0.04515868052840233,
0.009495790116488934,
0.009100795723497868,
0.061536550521850586,
0.05177509784698486,
0.0039781429804861546,
0.03496384248137474,
-0.048827726393938065,
0.004978646989911795,
0.029000772163271904,
0.020140528678894043,
-0.0658641904592514,
0.16303224861621857,
-0.03163699060678482,
-0.01000057253986597,
-0.06056259572505951,
-0.05863606184720993,
-0.0032189793419092894,
-0.017632562667131424,
0.009247002191841602,
0.04372691735625267,
0.09249287098646164,
-0.04001687839627266,
0.047681018710136414,
-0.0617784708738327,
0.03792325407266617,
-0.03776974976062775,
-0.04126082360744476,
-0.050789058208465576,
-0.01949094608426094,
0.09701147675514221,
0.04076153039932251,
-0.05581066384911537,
0.04274363815784454,
0.02736176736652851,
-0.05986671522259712,
-0.037545811384916306,
-0.005662744864821434,
-0.001050487277098,
-0.08111505210399628,
0.005441644694656134,
-0.10606814175844193,
-0.03462203964591026,
-0.009031472727656364,
-0.026918403804302216,
-0.012095894664525986,
0.10221303999423981,
0.018772749230265617,
0.02091725543141365,
-0.0703079104423523,
0.05279240757226944,
-0.058625638484954834,
-0.060506343841552734,
-0.002173858694732189,
0.09878517687320709,
-0.025232015177607536,
0.019293267279863358,
-0.013091053813695908,
0.00878702849149704,
-0.03090367466211319,
0.030704932287335396,
0.055649157613515854,
0.054198578000068665,
-0.006647792644798756,
-0.011154500767588615,
-0.009002603590488434,
-0.10037796944379807,
-0.039326492697000504,
0.025537068024277687,
0.02168954163789749,
0.049856603145599365,
0.07971453666687012,
0.03971683233976364,
-0.006933673284947872,
0.10676027089357376,
0.0522942878305912,
-0.0005545641761273146,
-0.0882999375462532,
-0.0375334657728672,
-0.006536463275551796,
-0.005581793375313282,
-0.011071622371673584,
-0.005235610529780388,
0.026981214061379433,
-0.13974714279174805,
0.015569652430713177,
-0.09846632182598114,
-0.040940847247838974,
-0.002368575893342495,
0.00633007800206542,
-0.05228600278496742,
-0.05271217226982117,
0.005419917404651642,
-0.08263923227787018,
-0.0344734750688076,
-5.3907502366298075e-33,
0.05672711879014969,
-0.026545120403170586,
0.046813394874334335,
-0.023339124396443367,
-0.00827692449092865,
0.023771779611706734,
0.02843111753463745,
-0.02414863370358944,
0.04414387792348862,
-0.096535325050354,
0.08055835962295532,
-0.019051488488912582,
-0.019074566662311554,
0.04136613756418228,
0.06960077583789825,
0.0986609235405922,
0.02035159431397915,
-0.09957943856716156,
0.06306074559688568,
-0.05098024383187294,
-0.007510218303650618,
0.0064162095077335835,
0.023884324356913567,
-0.05145389959216118,
-0.057744160294532776,
-0.043244507163763046,
0.04144973307847977,
-0.03728765621781349,
0.06364680081605911,
0.08324835449457169,
-0.0006051549571566284,
-0.04348023235797882,
-0.0037772110663354397,
0.07084168493747711,
-0.12173791229724884,
0.02140170894563198,
0.017948666587471962,
-0.07258263975381851,
-0.026437463238835335,
-0.05133752524852753,
-0.014657130464911461,
-0.021954761818051338,
-0.02477291226387024,
-0.03629510477185249,
0.02068382129073143,
-0.026157211512327194,
-0.004413200076669455,
-0.004188943188637495,
0.022363049909472466,
-0.03347214683890343,
-0.05156894400715828,
-0.05328023433685303,
0.03142993152141571,
0.059934064745903015,
-0.038693856447935104,
0.03694336116313934,
0.017712468281388283,
-0.025196924805641174,
0.056645382195711136,
-0.03409243002533913,
-0.010949579998850822,
0.001394664403051138,
0.08186732977628708,
0.022527240216732025,
-0.00033986152266152203,
-0.08196122944355011,
-0.040548037737607956,
-0.013693348504602909,
0.08961592614650726,
-0.06303679943084717,
0.004370720125734806,
-0.09477484226226807,
0.00548680080100894,
0.07681969553232193,
0.06570383906364441,
0.05805264785885811,
0.06745615601539612,
-0.11018513143062592,
-0.026272177696228027,
-0.07468400150537491,
-0.07676129043102264,
0.002656886586919427,
-0.06262204051017761,
-0.05244399979710579,
0.05660458654165268,
0.021106824278831482,
-0.033471882343292236,
0.028682183474302292,
-0.02812095358967781,
-0.0191760566085577,
0.04667125269770622,
0.008736204355955124,
0.10795120149850845,
0.017765045166015625,
0.02190062589943409,
-5.1701764647305026e-8,
0.019474854692816734,
-0.025683239102363586,
-0.023294027894735336,
0.014482791535556316,
0.026291582733392715,
0.04690506309270859,
-0.006444680970162153,
-0.04956773295998573,
-0.017781199887394905,
0.07071735709905624,
0.03283816948533058,
-0.063613660633564,
-0.027173306792974472,
-0.059477902948856354,
0.06008949130773544,
-0.039946503937244415,
-0.008086460642516613,
0.0061751799657940865,
-0.04780421033501625,
-0.11239496618509293,
-0.00967833399772644,
-0.0099443718791008,
-0.019401751458644867,
-0.030600320547819138,
0.010982044972479343,
0.036000218242406845,
-0.015508352778851986,
-0.08729974180459976,
-0.052171628922224045,
0.0016885959776118398,
-0.0345572866499424,
0.022197723388671875,
0.1156340166926384,
-0.01199091225862503,
-0.01672397367656231,
-0.027893953025341034,
-0.002862544497475028,
0.03275647014379501,
-0.037874288856983185,
0.08124201744794846,
0.019027184695005417,
0.06364056468009949,
0.017880385741591454,
-0.011918188072741032,
0.057431191205978394,
0.000569963944144547,
-0.05480055510997772,
0.013503401540219784,
0.0027961123269051313,
0.01219057198613882,
-0.046110186725854874,
0.036365434527397156,
0.023777322843670845,
0.041614849120378494,
-0.024806447327136993,
0.003676240099593997,
-0.0729561597108841,
0.01773032359778881,
0.09382834285497665,
0.04288722202181816,
0.09152143448591232,
0.037993572652339935,
-0.04630642384290695,
-0.023052019998431206
] |
1402.2917
|
Wolfgang L\"offler
|
W. L\"offler, J. F. Nye, J. H. Hannay
|
An experiment on the shifts of reflected C-lines
|
9 pages, 2 figures
| null |
10.1088/2040-8978/16/8/085703
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An experiment is described that tests theoretical predictions on how C-lines
incident obliquely on a surface behave on reflection. C-lines in a polarised
wave are the analogues of the optical vortices carried by a complex scalar
wave, which is the usual model for describing light and other electromagnetic
waves. The centre of a laser beam that carries a (degenerate) C-line is shifted
on reflection by the well-known Goos-H\"anchen and Imbert-Fedorov effects, but
the C-line itself splits into two, both of which are shifted longitudinally and
laterally; their shifts are different from that of the beam centre. To maximise
the effect to be measured, internal reflection in a glass prism close to the
critical angle was used. In a simple situation like this two recently published
independent theories of C-line reflection overlap and it is shown that their
predictions are identical. The measured differences in the lateral shifts of
the two reflected C-lines are compared with theoretical expectations over a
range of incidence angles.
|
[
{
"created": "Wed, 12 Feb 2014 18:17:04 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Löffler",
"W.",
""
],
[
"Nye",
"J. F.",
""
],
[
"Hannay",
"J. H.",
""
]
] |
[
-0.11089181900024414,
-0.07587981224060059,
0.02847222611308098,
-0.018377995118498802,
-0.06349465996026993,
-0.03584234416484833,
0.0006851295474916697,
0.016465473920106888,
0.020573196932673454,
-0.015794428065419197,
-0.007675574626773596,
-0.026966802775859833,
-0.09364859759807587,
-0.023874936625361443,
-0.001233039190992713,
-0.032590676099061966,
-0.0023445463739335537,
-0.021802233532071114,
-0.005801549181342125,
0.059634823352098465,
0.048463862389326096,
-0.09846775233745575,
-0.08476512879133224,
-0.03625733032822609,
-0.03268642723560333,
-0.025792952626943588,
0.011997682973742485,
0.02715824544429779,
-0.030895641073584557,
-0.0030621038749814034,
-0.004342641681432724,
0.04479864984750748,
-0.08210130035877228,
0.030749358236789703,
-0.0035067242570221424,
-0.09393131732940674,
0.00399076147004962,
0.008342308923602104,
0.011291725561022758,
-0.02905932627618313,
-0.040060706436634064,
-0.013770717196166515,
-0.047039151191711426,
0.041820988059043884,
0.0489174909889698,
-0.0005061168922111392,
0.07261107116937637,
-0.04590972140431404,
-0.059027284383773804,
-0.027538130059838295,
-0.024485772475600243,
-0.007068409118801355,
-0.059994183480739594,
-0.018182305619120598,
-0.03350524604320526,
0.08709494769573212,
0.023038828745484352,
0.010028152726590633,
0.05924035236239433,
-0.0027094832621514797,
0.047915954142808914,
0.016327233985066414,
-0.05985736474394798,
0.0012308056466281414,
0.04455665871500969,
-0.04288884252309799,
0.00830075703561306,
0.008133502677083015,
0.013879519887268543,
-0.003870077431201935,
0.025112813338637352,
0.040218960493803024,
-0.03147061914205551,
-0.05176587402820587,
0.07737948000431061,
0.0021935412660241127,
-0.0015295259654521942,
0.050894010812044144,
-0.09904108196496964,
0.0036829602904617786,
0.034918494522571564,
0.00699377479031682,
-0.07573223114013672,
0.07934693992137909,
-0.07529552280902863,
0.018158739432692528,
-0.026750897988677025,
-0.00011335396993672475,
-0.01165909692645073,
0.03082086145877838,
0.022933831438422203,
-0.05341598391532898,
-0.10319191217422485,
-0.07205567508935928,
0.006700111553072929,
-0.05384696647524834,
0.05846820026636124,
-0.07139310240745544,
0.01675480045378208,
0.013032062910497189,
0.045112986117601395,
-0.014320102520287037,
0.01494149025529623,
0.061137229204177856,
-0.09076771885156631,
0.019617822021245956,
0.01670479029417038,
0.04776110127568245,
-0.02669164538383484,
0.014693250879645348,
-0.014998636208474636,
0.03885830193758011,
-0.06427697837352753,
-0.06696505844593048,
0.0011659373994916677,
-0.05347985774278641,
0.010894895531237125,
0.02935926988720894,
0.019580433145165443,
0.036330483853816986,
-0.016227224841713905,
0.035172849893569946,
0.038127873092889786,
0.11102136969566345,
0.04256924241781235,
0.03998278081417084,
0.039856910705566406,
-2.9366670529160196e-34,
0.020712168887257576,
0.08049092441797256,
-0.003791690105572343,
-0.025356171652674675,
0.01269715279340744,
-0.027674589306116104,
0.05028843134641647,
0.06981321424245834,
-0.013507602736353874,
-0.018869413062930107,
-0.018219029530882835,
0.00532237533479929,
0.019998617470264435,
-0.010507795959711075,
0.04432906210422516,
0.05456183850765228,
0.03815050423145294,
0.05492907762527466,
-0.13356445729732513,
0.09309092909097672,
-0.03579558804631233,
0.07672421634197235,
-0.01125351246446371,
-0.03636721521615982,
-0.006959745194762945,
-0.059280313551425934,
-0.06580191105604172,
0.027517098933458328,
-0.06116741895675659,
0.015746740624308586,
0.014635819010436535,
0.08720603585243225,
0.024036817252635956,
0.02230323664844036,
0.020296303555369377,
0.050876181572675705,
-0.013337035663425922,
0.002625663997605443,
-0.018673080950975418,
-0.040234290063381195,
-0.007866531610488892,
0.04077587649226189,
0.10469599813222885,
0.011136287823319435,
0.06700915098190308,
-0.05300210788846016,
-0.11628381162881851,
0.05743835121393204,
-0.02666015550494194,
-0.0033276216126978397,
0.0046753366477787495,
-0.028526922687888145,
-0.06775068491697311,
0.0036242518108338118,
0.06774277240037918,
0.07850787043571472,
-0.026511559262871742,
-0.008694766089320183,
-0.017421822994947433,
-0.10317434370517731,
0.007468290161341429,
-0.040572356432676315,
0.024736162275075912,
0.005911986343562603,
-0.022013243287801743,
0.01058312226086855,
-0.13139404356479645,
0.020962469279766083,
0.01244782842695713,
0.055789824575185776,
-0.06501070410013199,
-0.005158029962331057,
0.0020184528548270464,
0.04267646372318268,
0.048531562089920044,
-0.010582460090517998,
-0.11376641690731049,
0.07691650092601776,
0.06455974280834198,
0.07040788233280182,
-0.07774259895086288,
0.027479304000735283,
-0.005834965035319328,
-0.1088249608874321,
-0.009208688512444496,
0.11231939494609833,
0.009659439325332642,
-0.061303138732910156,
-0.07979322224855423,
-0.030015546828508377,
-0.0015215943567454815,
0.03992127254605293,
-0.04898861050605774,
-0.03568821772933006,
-0.045086782425642014,
-4.5429800373969274e-33,
-0.07422921806573868,
-0.06602033972740173,
-0.049938179552555084,
-0.007202472537755966,
-0.016444673761725426,
0.0001791657559806481,
0.022130858153104782,
0.05338538810610771,
-0.06559082120656967,
0.02277379110455513,
0.05633050575852394,
0.06595852971076965,
-0.09020597487688065,
0.04581905156373978,
-0.09563161432743073,
0.0038810810074210167,
0.018703559413552284,
-0.005796848330646753,
-0.02103031799197197,
0.02650265023112297,
0.07683585584163666,
-0.06293149292469025,
0.045402608811855316,
0.038241349160671234,
-0.024904021993279457,
-0.02500692941248417,
0.09754762053489685,
-0.010611005127429962,
-0.023651069030165672,
0.010880852118134499,
0.004907356575131416,
0.0014817191986367106,
0.040784988552331924,
0.01182091049849987,
0.03798479214310646,
0.07525558024644852,
0.015397530980408192,
-0.0830213725566864,
-0.031292714178562164,
-0.0762011855840683,
0.031236082315444946,
0.06493061780929565,
0.06340353935956955,
-0.09836535155773163,
-0.05810524523258209,
-0.008412468247115612,
0.010452118702232838,
0.04600512608885765,
-0.08930742740631104,
-0.047710951417684555,
-0.09049703925848007,
-0.004037443082779646,
0.06141012907028198,
0.07739382237195969,
0.023292046040296555,
-0.011681228876113892,
0.04104289412498474,
-0.002566892420873046,
0.08955405652523041,
0.09494604915380478,
0.004402444697916508,
0.04250073432922363,
-0.062018632888793945,
-0.0900472030043602,
0.035220514982938766,
0.04387953504920006,
0.00018102531612385064,
-0.018376480787992477,
0.13574592769145966,
-0.0728449746966362,
0.011606404557824135,
0.006316694896668196,
-0.031196026131510735,
-0.04757644236087799,
-0.01173451542854309,
-0.00981060415506363,
0.09651792794466019,
-0.016387205570936203,
-0.1318664252758026,
0.06341108679771423,
-0.06319022178649902,
-0.015754422172904015,
0.0158915426582098,
0.03039148822426796,
-0.008445754647254944,
-0.08904027193784714,
-0.05379944667220116,
-0.06157379969954491,
-0.039454005658626556,
0.019091080874204636,
0.041501838713884354,
0.05058332905173302,
-0.015689821913838387,
-0.12541478872299194,
0.1160835325717926,
-5.577631867481614e-8,
0.011918537318706512,
0.026225194334983826,
0.07961086928844452,
0.07776637375354767,
-0.007739257998764515,
-0.019929375499486923,
0.03370663523674011,
-0.05538557842373848,
-0.09031583368778229,
-0.12040512263774872,
-0.0629233792424202,
0.003432710887864232,
0.01777190901339054,
0.019586149603128433,
0.03881963714957237,
0.018391357734799385,
0.002622200408950448,
-0.050423894077539444,
-0.047760725021362305,
0.06317254900932312,
-0.007151923142373562,
-0.06199599429965019,
0.030784914270043373,
0.034930288791656494,
-0.04711338132619858,
0.07083991169929504,
-0.05265370011329651,
0.04865836352109909,
-0.05827534943819046,
0.06606380641460419,
0.027842415496706963,
-0.0022945855744183064,
-0.011157061904668808,
0.03443631902337074,
0.023365477100014687,
-0.01932721585035324,
-0.05321206897497177,
-0.03629482910037041,
-0.03794431313872337,
0.026345321908593178,
0.023104263469576836,
0.04216047003865242,
-0.01356296893209219,
0.07642166316509247,
0.1513228565454483,
0.04191870987415314,
-0.021404480561614037,
-0.045095089823007584,
-0.06860197335481644,
0.046413443982601166,
0.013554940931499004,
0.10282029211521149,
0.011942485347390175,
0.026318572461605072,
-0.03452281281352043,
0.00975589919835329,
0.046315230429172516,
-0.02213878370821476,
-0.049779362976551056,
-0.01758630946278572,
0.11771930754184723,
0.038985464721918106,
-0.052556112408638,
0.04256483167409897
] | null | null | null | null | null | null | null |
[
-0.11089181900024414,
-0.07587981224060059,
0.02847222611308098,
-0.018377995118498802,
-0.06349465996026993,
-0.03584234416484833,
0.0006851295474916697,
0.016465473920106888,
0.020573196932673454,
-0.015794428065419197,
-0.007675574626773596,
-0.026966802775859833,
-0.09364859759807587,
-0.023874936625361443,
-0.001233039190992713,
-0.032590676099061966,
-0.0023445463739335537,
-0.021802233532071114,
-0.005801549181342125,
0.059634823352098465,
0.048463862389326096,
-0.09846775233745575,
-0.08476512879133224,
-0.03625733032822609,
-0.03268642723560333,
-0.025792952626943588,
0.011997682973742485,
0.02715824544429779,
-0.030895641073584557,
-0.0030621038749814034,
-0.004342641681432724,
0.04479864984750748,
-0.08210130035877228,
0.030749358236789703,
-0.0035067242570221424,
-0.09393131732940674,
0.00399076147004962,
0.008342308923602104,
0.011291725561022758,
-0.02905932627618313,
-0.040060706436634064,
-0.013770717196166515,
-0.047039151191711426,
0.041820988059043884,
0.0489174909889698,
-0.0005061168922111392,
0.07261107116937637,
-0.04590972140431404,
-0.059027284383773804,
-0.027538130059838295,
-0.024485772475600243,
-0.007068409118801355,
-0.059994183480739594,
-0.018182305619120598,
-0.03350524604320526,
0.08709494769573212,
0.023038828745484352,
0.010028152726590633,
0.05924035236239433,
-0.0027094832621514797,
0.047915954142808914,
0.016327233985066414,
-0.05985736474394798,
0.0012308056466281414,
0.04455665871500969,
-0.04288884252309799,
0.00830075703561306,
0.008133502677083015,
0.013879519887268543,
-0.003870077431201935,
0.025112813338637352,
0.040218960493803024,
-0.03147061914205551,
-0.05176587402820587,
0.07737948000431061,
0.0021935412660241127,
-0.0015295259654521942,
0.050894010812044144,
-0.09904108196496964,
0.0036829602904617786,
0.034918494522571564,
0.00699377479031682,
-0.07573223114013672,
0.07934693992137909,
-0.07529552280902863,
0.018158739432692528,
-0.026750897988677025,
-0.00011335396993672475,
-0.01165909692645073,
0.03082086145877838,
0.022933831438422203,
-0.05341598391532898,
-0.10319191217422485,
-0.07205567508935928,
0.006700111553072929,
-0.05384696647524834,
0.05846820026636124,
-0.07139310240745544,
0.01675480045378208,
0.013032062910497189,
0.045112986117601395,
-0.014320102520287037,
0.01494149025529623,
0.061137229204177856,
-0.09076771885156631,
0.019617822021245956,
0.01670479029417038,
0.04776110127568245,
-0.02669164538383484,
0.014693250879645348,
-0.014998636208474636,
0.03885830193758011,
-0.06427697837352753,
-0.06696505844593048,
0.0011659373994916677,
-0.05347985774278641,
0.010894895531237125,
0.02935926988720894,
0.019580433145165443,
0.036330483853816986,
-0.016227224841713905,
0.035172849893569946,
0.038127873092889786,
0.11102136969566345,
0.04256924241781235,
0.03998278081417084,
0.039856910705566406,
-2.9366670529160196e-34,
0.020712168887257576,
0.08049092441797256,
-0.003791690105572343,
-0.025356171652674675,
0.01269715279340744,
-0.027674589306116104,
0.05028843134641647,
0.06981321424245834,
-0.013507602736353874,
-0.018869413062930107,
-0.018219029530882835,
0.00532237533479929,
0.019998617470264435,
-0.010507795959711075,
0.04432906210422516,
0.05456183850765228,
0.03815050423145294,
0.05492907762527466,
-0.13356445729732513,
0.09309092909097672,
-0.03579558804631233,
0.07672421634197235,
-0.01125351246446371,
-0.03636721521615982,
-0.006959745194762945,
-0.059280313551425934,
-0.06580191105604172,
0.027517098933458328,
-0.06116741895675659,
0.015746740624308586,
0.014635819010436535,
0.08720603585243225,
0.024036817252635956,
0.02230323664844036,
0.020296303555369377,
0.050876181572675705,
-0.013337035663425922,
0.002625663997605443,
-0.018673080950975418,
-0.040234290063381195,
-0.007866531610488892,
0.04077587649226189,
0.10469599813222885,
0.011136287823319435,
0.06700915098190308,
-0.05300210788846016,
-0.11628381162881851,
0.05743835121393204,
-0.02666015550494194,
-0.0033276216126978397,
0.0046753366477787495,
-0.028526922687888145,
-0.06775068491697311,
0.0036242518108338118,
0.06774277240037918,
0.07850787043571472,
-0.026511559262871742,
-0.008694766089320183,
-0.017421822994947433,
-0.10317434370517731,
0.007468290161341429,
-0.040572356432676315,
0.024736162275075912,
0.005911986343562603,
-0.022013243287801743,
0.01058312226086855,
-0.13139404356479645,
0.020962469279766083,
0.01244782842695713,
0.055789824575185776,
-0.06501070410013199,
-0.005158029962331057,
0.0020184528548270464,
0.04267646372318268,
0.048531562089920044,
-0.010582460090517998,
-0.11376641690731049,
0.07691650092601776,
0.06455974280834198,
0.07040788233280182,
-0.07774259895086288,
0.027479304000735283,
-0.005834965035319328,
-0.1088249608874321,
-0.009208688512444496,
0.11231939494609833,
0.009659439325332642,
-0.061303138732910156,
-0.07979322224855423,
-0.030015546828508377,
-0.0015215943567454815,
0.03992127254605293,
-0.04898861050605774,
-0.03568821772933006,
-0.045086782425642014,
-4.5429800373969274e-33,
-0.07422921806573868,
-0.06602033972740173,
-0.049938179552555084,
-0.007202472537755966,
-0.016444673761725426,
0.0001791657559806481,
0.022130858153104782,
0.05338538810610771,
-0.06559082120656967,
0.02277379110455513,
0.05633050575852394,
0.06595852971076965,
-0.09020597487688065,
0.04581905156373978,
-0.09563161432743073,
0.0038810810074210167,
0.018703559413552284,
-0.005796848330646753,
-0.02103031799197197,
0.02650265023112297,
0.07683585584163666,
-0.06293149292469025,
0.045402608811855316,
0.038241349160671234,
-0.024904021993279457,
-0.02500692941248417,
0.09754762053489685,
-0.010611005127429962,
-0.023651069030165672,
0.010880852118134499,
0.004907356575131416,
0.0014817191986367106,
0.040784988552331924,
0.01182091049849987,
0.03798479214310646,
0.07525558024644852,
0.015397530980408192,
-0.0830213725566864,
-0.031292714178562164,
-0.0762011855840683,
0.031236082315444946,
0.06493061780929565,
0.06340353935956955,
-0.09836535155773163,
-0.05810524523258209,
-0.008412468247115612,
0.010452118702232838,
0.04600512608885765,
-0.08930742740631104,
-0.047710951417684555,
-0.09049703925848007,
-0.004037443082779646,
0.06141012907028198,
0.07739382237195969,
0.023292046040296555,
-0.011681228876113892,
0.04104289412498474,
-0.002566892420873046,
0.08955405652523041,
0.09494604915380478,
0.004402444697916508,
0.04250073432922363,
-0.062018632888793945,
-0.0900472030043602,
0.035220514982938766,
0.04387953504920006,
0.00018102531612385064,
-0.018376480787992477,
0.13574592769145966,
-0.0728449746966362,
0.011606404557824135,
0.006316694896668196,
-0.031196026131510735,
-0.04757644236087799,
-0.01173451542854309,
-0.00981060415506363,
0.09651792794466019,
-0.016387205570936203,
-0.1318664252758026,
0.06341108679771423,
-0.06319022178649902,
-0.015754422172904015,
0.0158915426582098,
0.03039148822426796,
-0.008445754647254944,
-0.08904027193784714,
-0.05379944667220116,
-0.06157379969954491,
-0.039454005658626556,
0.019091080874204636,
0.041501838713884354,
0.05058332905173302,
-0.015689821913838387,
-0.12541478872299194,
0.1160835325717926,
-5.577631867481614e-8,
0.011918537318706512,
0.026225194334983826,
0.07961086928844452,
0.07776637375354767,
-0.007739257998764515,
-0.019929375499486923,
0.03370663523674011,
-0.05538557842373848,
-0.09031583368778229,
-0.12040512263774872,
-0.0629233792424202,
0.003432710887864232,
0.01777190901339054,
0.019586149603128433,
0.03881963714957237,
0.018391357734799385,
0.002622200408950448,
-0.050423894077539444,
-0.047760725021362305,
0.06317254900932312,
-0.007151923142373562,
-0.06199599429965019,
0.030784914270043373,
0.034930288791656494,
-0.04711338132619858,
0.07083991169929504,
-0.05265370011329651,
0.04865836352109909,
-0.05827534943819046,
0.06606380641460419,
0.027842415496706963,
-0.0022945855744183064,
-0.011157061904668808,
0.03443631902337074,
0.023365477100014687,
-0.01932721585035324,
-0.05321206897497177,
-0.03629482910037041,
-0.03794431313872337,
0.026345321908593178,
0.023104263469576836,
0.04216047003865242,
-0.01356296893209219,
0.07642166316509247,
0.1513228565454483,
0.04191870987415314,
-0.021404480561614037,
-0.045095089823007584,
-0.06860197335481644,
0.046413443982601166,
0.013554940931499004,
0.10282029211521149,
0.011942485347390175,
0.026318572461605072,
-0.03452281281352043,
0.00975589919835329,
0.046315230429172516,
-0.02213878370821476,
-0.049779362976551056,
-0.01758630946278572,
0.11771930754184723,
0.038985464721918106,
-0.052556112408638,
0.04256483167409897
] |
1402.2921
|
Andre Anders
|
Joakim Andersson, Pavel Ni and Andr\'e Anders
|
Smoothing of Discharge Inhomogeneities at High Currents in Gasless High
Power Impulse Magnetron Sputtering
|
submitted for the 7th Triennial Special Issue of the IEEE
Transactions on Plasma Science "Images in Plasma Science," scheduled for
publication in August 2014; Manuscript length is limited to 2 pages
| null |
10.1109/TPS.2014.2334600
| null |
physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The discharges in high power impulse magnetron sputtering (HiPIMS) have been
reported to consist of azimuthally inhomogeneous plasma with locally increased
light emission. The luminous zones seemingly travel around the racetrack and
are implicated in generation of the high ion kinetic energies observed in
HiPIMS. We show that the inhomogeneities smooth out at high discharge current
to yield azimuthally homogeneous plasma. This may have implications for the
spatial and kinetic energy distribution of sputtered particles, and therefore
also on the thin films deposited by high power impulse magnetron sputtering.
|
[
{
"created": "Wed, 12 Feb 2014 18:29:37 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Andersson",
"Joakim",
""
],
[
"Ni",
"Pavel",
""
],
[
"Anders",
"André",
""
]
] |
[
-0.049334436655044556,
-0.020721737295389175,
-0.00912393257021904,
0.020612839609384537,
0.03485243394970894,
-0.02690066210925579,
0.08975216746330261,
-0.03546179458498955,
-0.002509846119210124,
-0.004442927893251181,
-0.0058179874904453754,
-0.026527468115091324,
0.04747941344976425,
-0.012090436182916164,
0.06331585347652435,
-0.03997984156012535,
0.03323333337903023,
-0.04026253893971443,
0.057884931564331055,
-0.01241869293153286,
0.05633421614766121,
-0.07450608909130096,
-0.006487740203738213,
0.07928743213415146,
0.07545822858810425,
-0.0006268551223911345,
0.05970105156302452,
-0.06395202875137329,
-0.07622671872377396,
0.04469159245491028,
0.08279098570346832,
0.018523918464779854,
-0.022669054567813873,
0.040732596069574356,
0.01560554001480341,
0.026212118566036224,
-0.008752614259719849,
0.07366538047790527,
0.05182705447077751,
0.03895922377705574,
-0.002779990201815963,
-0.0051357015036046505,
-0.045986954122781754,
-0.09000620245933533,
0.04109905660152435,
-0.05857532471418381,
0.09941399097442627,
-0.040621910244226456,
-0.02396133355796337,
0.04701031744480133,
-0.003278546966612339,
0.019719893112778664,
0.0031188721768558025,
-0.030902152881026268,
0.0185032207518816,
0.01429141964763403,
-0.0005166686023585498,
0.042242635041475296,
-0.04558490216732025,
0.009655079804360867,
-0.05423057824373245,
-0.048342615365982056,
0.0647914707660675,
-0.02203327603638172,
0.02235310897231102,
-0.033724453300237656,
0.01699058525264263,
0.09610730409622192,
0.003031828673556447,
-0.021954666823148727,
0.023810794577002525,
0.05005061998963356,
-0.07446788251399994,
0.016142919659614563,
-0.0001277801493415609,
-0.014280755072832108,
-0.055735502392053604,
-0.031657688319683075,
-0.04442519694566727,
-0.050459880381822586,
-0.0466759167611599,
-0.007173117250204086,
-0.08368751406669617,
0.0335330106317997,
0.007946413941681385,
0.027788203209638596,
0.009693289175629616,
-0.0061746337451040745,
-0.03296882286667824,
-0.0006667027482762933,
-0.005176916252821684,
0.014934590086340904,
0.0007538145873695612,
-0.013929587788879871,
-0.02287156693637371,
0.01042089518159628,
0.007181949447840452,
0.009263936430215836,
0.029132887721061707,
-0.014615291729569435,
0.029997611418366432,
-0.05889236927032471,
0.03362242132425308,
0.06904580444097519,
-0.02240840718150139,
0.007503202650696039,
0.07190622389316559,
0.035567834973335266,
-0.13858985900878906,
0.07985907793045044,
0.09862057119607925,
-0.03876357898116112,
-0.04294281080365181,
-0.04544931277632713,
0.025452084839344025,
0.10846082866191864,
-0.028960008174180984,
-0.011575586162507534,
-0.06149759516119957,
-0.0004742632736451924,
-0.03170556575059891,
0.034760452806949615,
-0.04061088711023331,
0.038336824625730515,
0.02310839854180813,
0.004311086609959602,
-0.013338129036128521,
4.265266558279285e-33,
0.011152856983244419,
-0.01956198178231716,
-0.025075510144233704,
-0.0006162245408631861,
-0.06962785869836807,
-0.021594732999801636,
0.09644445031881332,
0.020761240273714066,
-0.07077674567699432,
0.014135261997580528,
0.04698595032095909,
0.01589198224246502,
0.07792392373085022,
0.01869719848036766,
-0.04462020471692085,
-0.08307235687971115,
0.0863490104675293,
-0.018518580123782158,
-0.0947902724146843,
0.06977345794439316,
0.003953315317630768,
0.05067580193281174,
-0.03264715149998665,
-0.018557600677013397,
0.023566151037812233,
0.031707923859357834,
-0.057824231684207916,
-0.057518862187862396,
-0.05563044920563698,
0.049516912549734116,
0.062618687748909,
0.060049835592508316,
-0.017642218619585037,
0.014244169928133488,
-0.034067098051309586,
0.024947471916675568,
-0.10878431797027588,
-0.024281363934278488,
0.0382353737950325,
0.006979323923587799,
0.020382292568683624,
0.05154154449701309,
-0.07817202806472778,
0.02691677398979664,
-0.04482157155871391,
0.059377945959568024,
0.04906255751848221,
-0.05254405736923218,
0.039835840463638306,
0.059548038989305496,
-0.007336535025388002,
0.002858806634321809,
0.03348451480269432,
-0.0044418275356292725,
0.05204034596681595,
-0.008645529858767986,
0.03127354010939598,
-0.06258964538574219,
0.09971940517425537,
0.002425809158012271,
0.07560080289840698,
0.03349772468209267,
-0.040584366768598557,
0.0169684961438179,
-0.07395865023136139,
-0.033085450530052185,
0.026595033705234528,
0.08073045313358307,
0.07015690952539444,
-0.06862397491931915,
0.048124827444553375,
0.04338289052248001,
-0.04640629515051842,
0.008511730469763279,
0.09511463344097137,
0.04225568845868111,
0.03225548937916756,
0.03569255769252777,
0.0281201358884573,
-0.06091780960559845,
-0.07314298301935196,
-0.05591703951358795,
-0.05230844020843506,
-0.026323487982153893,
-0.10165991634130478,
0.04404096677899361,
-0.020449064671993256,
0.027341328561306,
-0.11288698762655258,
-0.008663454093039036,
0.05258350446820259,
0.005969115532934666,
0.03865921497344971,
-0.03392121195793152,
-0.09304192662239075,
-5.099406165830411e-33,
0.07038667052984238,
0.02784242480993271,
-0.017899082973599434,
-0.041596002876758575,
-0.07375778257846832,
0.13293148577213287,
0.0038706979248672724,
0.02407980151474476,
-0.08777549117803574,
0.07700742036104202,
-0.05030623450875282,
0.025706211104989052,
-0.1572120487689972,
-0.024759138002991676,
0.006410582456737757,
-0.011972866952419281,
0.10263412445783615,
-0.01058670599013567,
0.013927554711699486,
-0.09886178374290466,
0.006359344348311424,
-0.03752833232283592,
0.07427272945642471,
-0.04098951444029808,
-0.007641613949090242,
-0.03597177565097809,
-0.044970106333494186,
0.004399435594677925,
-0.027129629626870155,
0.006752708926796913,
-0.10251890122890472,
0.022978905588388443,
-0.04223436489701271,
-0.059265218675136566,
0.005743668880313635,
-0.11944591999053955,
0.009537648409605026,
-0.005018888507038355,
-0.03505649417638779,
-0.1506301313638687,
-0.061329446732997894,
0.03461327403783798,
0.013856482692062855,
0.07115191221237183,
0.024354981258511543,
0.0442112497985363,
-0.07422707974910736,
0.06311439722776413,
0.030423546209931374,
0.01329747959971428,
-0.05081818997859955,
-0.017030630260705948,
0.01368011999875307,
0.05869792774319649,
-0.021249061450362206,
0.0321982242166996,
-0.0020567202009260654,
0.07533368468284607,
0.020271310582756996,
-0.08716253191232681,
0.01987050473690033,
-0.01908448152244091,
-0.011306563392281532,
-0.031211450695991516,
-0.03230273723602295,
-0.09077423810958862,
0.06799396872520447,
0.05990699678659439,
-0.00746719678863883,
-0.07543456554412842,
0.03137720376253128,
-0.0033117954153567553,
-0.01813020370900631,
-0.04393007978796959,
-0.0866827741265297,
0.019521217793226242,
0.1008756011724472,
-0.07677821069955826,
0.003000006778165698,
-0.04567064344882965,
0.0842067301273346,
-0.008295975625514984,
-0.08381933718919754,
-0.06225470080971718,
0.01081174798309803,
-0.03953370451927185,
-0.022210270166397095,
-0.10069683194160461,
-0.017089197412133217,
0.08520147204399109,
0.014771605841815472,
-0.017572348937392235,
0.09178455173969269,
-0.089236781001091,
-0.06089067459106445,
-4.389443475361077e-8,
0.05442184954881668,
0.011124452576041222,
-0.014554954133927822,
0.04822435602545738,
0.0065381405875086784,
-0.011408756487071514,
-0.06666029989719391,
0.031584154814481735,
0.12018271535634995,
-0.07286469638347626,
0.05826533958315849,
-0.07969595491886139,
0.052748966962099075,
0.016044877469539642,
0.026196736842393875,
-0.00015250055002979934,
-0.04866769537329674,
0.03498553857207298,
-0.024019522592425346,
0.07459735870361328,
0.0031285255681723356,
0.012624206021428108,
-0.005444740876555443,
-0.02123894728720188,
0.012197401374578476,
0.07054521143436432,
0.009059551171958447,
-0.042844850569963455,
0.06147387623786926,
-0.06141842156648636,
-0.05465814471244812,
-0.02220943383872509,
0.08686424046754837,
0.004439936019480228,
0.00661113066598773,
-0.027667200192809105,
-0.022228801622986794,
0.0025247056037187576,
0.0248220507055521,
-0.011576970107853413,
-0.03770406171679497,
-0.08794813603162766,
0.13154256343841553,
-0.040133364498615265,
-0.030970744788646698,
-0.006836408749222755,
-0.011836388148367405,
-0.08350108563899994,
-0.009492776356637478,
-0.0203646719455719,
-0.030866485089063644,
-0.00919350702315569,
0.019307604059576988,
-0.015923408791422844,
-0.012241515330970287,
-0.021708188578486443,
-0.0047812978737056255,
-0.03490898385643959,
0.07322490215301514,
-0.040700528770685196,
0.17201891541481018,
-0.0018825531005859375,
-0.025191238150000572,
0.08940664678812027
] | null | null | null | null | null | null | null |
[
-0.049334436655044556,
-0.020721737295389175,
-0.00912393257021904,
0.020612839609384537,
0.03485243394970894,
-0.02690066210925579,
0.08975216746330261,
-0.03546179458498955,
-0.002509846119210124,
-0.004442927893251181,
-0.0058179874904453754,
-0.026527468115091324,
0.04747941344976425,
-0.012090436182916164,
0.06331585347652435,
-0.03997984156012535,
0.03323333337903023,
-0.04026253893971443,
0.057884931564331055,
-0.01241869293153286,
0.05633421614766121,
-0.07450608909130096,
-0.006487740203738213,
0.07928743213415146,
0.07545822858810425,
-0.0006268551223911345,
0.05970105156302452,
-0.06395202875137329,
-0.07622671872377396,
0.04469159245491028,
0.08279098570346832,
0.018523918464779854,
-0.022669054567813873,
0.040732596069574356,
0.01560554001480341,
0.026212118566036224,
-0.008752614259719849,
0.07366538047790527,
0.05182705447077751,
0.03895922377705574,
-0.002779990201815963,
-0.0051357015036046505,
-0.045986954122781754,
-0.09000620245933533,
0.04109905660152435,
-0.05857532471418381,
0.09941399097442627,
-0.040621910244226456,
-0.02396133355796337,
0.04701031744480133,
-0.003278546966612339,
0.019719893112778664,
0.0031188721768558025,
-0.030902152881026268,
0.0185032207518816,
0.01429141964763403,
-0.0005166686023585498,
0.042242635041475296,
-0.04558490216732025,
0.009655079804360867,
-0.05423057824373245,
-0.048342615365982056,
0.0647914707660675,
-0.02203327603638172,
0.02235310897231102,
-0.033724453300237656,
0.01699058525264263,
0.09610730409622192,
0.003031828673556447,
-0.021954666823148727,
0.023810794577002525,
0.05005061998963356,
-0.07446788251399994,
0.016142919659614563,
-0.0001277801493415609,
-0.014280755072832108,
-0.055735502392053604,
-0.031657688319683075,
-0.04442519694566727,
-0.050459880381822586,
-0.0466759167611599,
-0.007173117250204086,
-0.08368751406669617,
0.0335330106317997,
0.007946413941681385,
0.027788203209638596,
0.009693289175629616,
-0.0061746337451040745,
-0.03296882286667824,
-0.0006667027482762933,
-0.005176916252821684,
0.014934590086340904,
0.0007538145873695612,
-0.013929587788879871,
-0.02287156693637371,
0.01042089518159628,
0.007181949447840452,
0.009263936430215836,
0.029132887721061707,
-0.014615291729569435,
0.029997611418366432,
-0.05889236927032471,
0.03362242132425308,
0.06904580444097519,
-0.02240840718150139,
0.007503202650696039,
0.07190622389316559,
0.035567834973335266,
-0.13858985900878906,
0.07985907793045044,
0.09862057119607925,
-0.03876357898116112,
-0.04294281080365181,
-0.04544931277632713,
0.025452084839344025,
0.10846082866191864,
-0.028960008174180984,
-0.011575586162507534,
-0.06149759516119957,
-0.0004742632736451924,
-0.03170556575059891,
0.034760452806949615,
-0.04061088711023331,
0.038336824625730515,
0.02310839854180813,
0.004311086609959602,
-0.013338129036128521,
4.265266558279285e-33,
0.011152856983244419,
-0.01956198178231716,
-0.025075510144233704,
-0.0006162245408631861,
-0.06962785869836807,
-0.021594732999801636,
0.09644445031881332,
0.020761240273714066,
-0.07077674567699432,
0.014135261997580528,
0.04698595032095909,
0.01589198224246502,
0.07792392373085022,
0.01869719848036766,
-0.04462020471692085,
-0.08307235687971115,
0.0863490104675293,
-0.018518580123782158,
-0.0947902724146843,
0.06977345794439316,
0.003953315317630768,
0.05067580193281174,
-0.03264715149998665,
-0.018557600677013397,
0.023566151037812233,
0.031707923859357834,
-0.057824231684207916,
-0.057518862187862396,
-0.05563044920563698,
0.049516912549734116,
0.062618687748909,
0.060049835592508316,
-0.017642218619585037,
0.014244169928133488,
-0.034067098051309586,
0.024947471916675568,
-0.10878431797027588,
-0.024281363934278488,
0.0382353737950325,
0.006979323923587799,
0.020382292568683624,
0.05154154449701309,
-0.07817202806472778,
0.02691677398979664,
-0.04482157155871391,
0.059377945959568024,
0.04906255751848221,
-0.05254405736923218,
0.039835840463638306,
0.059548038989305496,
-0.007336535025388002,
0.002858806634321809,
0.03348451480269432,
-0.0044418275356292725,
0.05204034596681595,
-0.008645529858767986,
0.03127354010939598,
-0.06258964538574219,
0.09971940517425537,
0.002425809158012271,
0.07560080289840698,
0.03349772468209267,
-0.040584366768598557,
0.0169684961438179,
-0.07395865023136139,
-0.033085450530052185,
0.026595033705234528,
0.08073045313358307,
0.07015690952539444,
-0.06862397491931915,
0.048124827444553375,
0.04338289052248001,
-0.04640629515051842,
0.008511730469763279,
0.09511463344097137,
0.04225568845868111,
0.03225548937916756,
0.03569255769252777,
0.0281201358884573,
-0.06091780960559845,
-0.07314298301935196,
-0.05591703951358795,
-0.05230844020843506,
-0.026323487982153893,
-0.10165991634130478,
0.04404096677899361,
-0.020449064671993256,
0.027341328561306,
-0.11288698762655258,
-0.008663454093039036,
0.05258350446820259,
0.005969115532934666,
0.03865921497344971,
-0.03392121195793152,
-0.09304192662239075,
-5.099406165830411e-33,
0.07038667052984238,
0.02784242480993271,
-0.017899082973599434,
-0.041596002876758575,
-0.07375778257846832,
0.13293148577213287,
0.0038706979248672724,
0.02407980151474476,
-0.08777549117803574,
0.07700742036104202,
-0.05030623450875282,
0.025706211104989052,
-0.1572120487689972,
-0.024759138002991676,
0.006410582456737757,
-0.011972866952419281,
0.10263412445783615,
-0.01058670599013567,
0.013927554711699486,
-0.09886178374290466,
0.006359344348311424,
-0.03752833232283592,
0.07427272945642471,
-0.04098951444029808,
-0.007641613949090242,
-0.03597177565097809,
-0.044970106333494186,
0.004399435594677925,
-0.027129629626870155,
0.006752708926796913,
-0.10251890122890472,
0.022978905588388443,
-0.04223436489701271,
-0.059265218675136566,
0.005743668880313635,
-0.11944591999053955,
0.009537648409605026,
-0.005018888507038355,
-0.03505649417638779,
-0.1506301313638687,
-0.061329446732997894,
0.03461327403783798,
0.013856482692062855,
0.07115191221237183,
0.024354981258511543,
0.0442112497985363,
-0.07422707974910736,
0.06311439722776413,
0.030423546209931374,
0.01329747959971428,
-0.05081818997859955,
-0.017030630260705948,
0.01368011999875307,
0.05869792774319649,
-0.021249061450362206,
0.0321982242166996,
-0.0020567202009260654,
0.07533368468284607,
0.020271310582756996,
-0.08716253191232681,
0.01987050473690033,
-0.01908448152244091,
-0.011306563392281532,
-0.031211450695991516,
-0.03230273723602295,
-0.09077423810958862,
0.06799396872520447,
0.05990699678659439,
-0.00746719678863883,
-0.07543456554412842,
0.03137720376253128,
-0.0033117954153567553,
-0.01813020370900631,
-0.04393007978796959,
-0.0866827741265297,
0.019521217793226242,
0.1008756011724472,
-0.07677821069955826,
0.003000006778165698,
-0.04567064344882965,
0.0842067301273346,
-0.008295975625514984,
-0.08381933718919754,
-0.06225470080971718,
0.01081174798309803,
-0.03953370451927185,
-0.022210270166397095,
-0.10069683194160461,
-0.017089197412133217,
0.08520147204399109,
0.014771605841815472,
-0.017572348937392235,
0.09178455173969269,
-0.089236781001091,
-0.06089067459106445,
-4.389443475361077e-8,
0.05442184954881668,
0.011124452576041222,
-0.014554954133927822,
0.04822435602545738,
0.0065381405875086784,
-0.011408756487071514,
-0.06666029989719391,
0.031584154814481735,
0.12018271535634995,
-0.07286469638347626,
0.05826533958315849,
-0.07969595491886139,
0.052748966962099075,
0.016044877469539642,
0.026196736842393875,
-0.00015250055002979934,
-0.04866769537329674,
0.03498553857207298,
-0.024019522592425346,
0.07459735870361328,
0.0031285255681723356,
0.012624206021428108,
-0.005444740876555443,
-0.02123894728720188,
0.012197401374578476,
0.07054521143436432,
0.009059551171958447,
-0.042844850569963455,
0.06147387623786926,
-0.06141842156648636,
-0.05465814471244812,
-0.02220943383872509,
0.08686424046754837,
0.004439936019480228,
0.00661113066598773,
-0.027667200192809105,
-0.022228801622986794,
0.0025247056037187576,
0.0248220507055521,
-0.011576970107853413,
-0.03770406171679497,
-0.08794813603162766,
0.13154256343841553,
-0.040133364498615265,
-0.030970744788646698,
-0.006836408749222755,
-0.011836388148367405,
-0.08350108563899994,
-0.009492776356637478,
-0.0203646719455719,
-0.030866485089063644,
-0.00919350702315569,
0.019307604059576988,
-0.015923408791422844,
-0.012241515330970287,
-0.021708188578486443,
-0.0047812978737056255,
-0.03490898385643959,
0.07322490215301514,
-0.040700528770685196,
0.17201891541481018,
-0.0018825531005859375,
-0.025191238150000572,
0.08940664678812027
] |
1402.2925
|
arXiv Admin
|
Slim Triki, Taher Mekki and Anas Kamoun
|
Modeling Switched Behavior with Hybrid Bond Graph: Application to a Tank
system
|
arXiv admin note: submission has been withdrawn by arXiv
administrators due to inappropriate text reuse from external sources
|
IJCSI International Journal of Computer Science Issues, Vol. 11,
Issue 1, No 2,pp. 60-66, January 2014
| null | null |
cs.SY
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Different approaches have been used in the development of system models. In
addition, modeling and simulation approaches are essential for design,
analysis, control, and diagnosis of complex systems. This work presents a
Simulink model for systems with mixed continuous and discrete behaviors. The
model simulated was developed using the bond graph methodology and we model
hybrid systems using hybrid bond graphs (HBGs), that incorporates local
switching functions that enable the reconfiguration of energy flow paths. This
approach has been implemented as a software tool called the MOdeling and
Transformation of HBGs for Simulation (MOTHS) tool suite which incorporates a
model translator that create Simulink models. Simulation model of a three-tank
system that includes a switching component was developed using the bond graph
methodology, and MoTHS software were used to build a Simulink model of the
dynamic behavior.
|
[
{
"created": "Wed, 12 Feb 2014 18:38:16 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jun 2016 15:36:38 GMT",
"version": "v2"
}
] |
2016-06-10
|
[
[
"Triki",
"Slim",
""
],
[
"Mekki",
"Taher",
""
],
[
"Kamoun",
"Anas",
""
]
] |
[
-0.026457663625478745,
0.007782386615872383,
-0.12565335631370544,
-0.029242657124996185,
-0.06516411900520325,
-0.07703161239624023,
-0.047515708953142166,
0.04362610727548599,
0.02706323377788067,
-0.039487313479185104,
0.0476771779358387,
0.017085788771510124,
0.034424420446157455,
-0.015792902559041977,
0.01037669274955988,
-0.009307602420449257,
-0.041623953729867935,
0.006317404564470053,
-0.0131532596424222,
-0.07338898628950119,
0.034591518342494965,
-0.025676706805825233,
-0.04566929489374161,
-0.03501531854271889,
-0.0579318143427372,
0.08688591420650482,
-0.05227181687951088,
-0.0008419978548772633,
-0.026835955679416656,
0.0020508861634880304,
-0.0028662316035479307,
-0.08696912229061127,
-0.029050089418888092,
-0.09213022142648697,
0.046020958572626114,
0.005379012785851955,
-0.029485605657100677,
-0.03289835900068283,
-0.019105326384305954,
0.01906691864132881,
-0.021172141656279564,
0.011767152696847916,
0.0330493189394474,
0.018502214923501015,
0.0513572134077549,
-0.0035872652661055326,
-0.10538186877965927,
0.00869001355022192,
-0.0336914099752903,
-0.06741631776094437,
-0.03498433157801628,
-0.03262955695390701,
-0.010495140217244625,
0.009803006425499916,
0.12144497036933899,
-0.0389576330780983,
0.04154815524816513,
-0.02863115258514881,
0.015430514700710773,
-0.059332720935344696,
0.02339879237115383,
0.0934465155005455,
0.03726084530353546,
0.0030954848043620586,
-0.08109671622514725,
0.04389769583940506,
-0.07989757508039474,
0.08103422075510025,
0.08741205930709839,
-0.03915848955512047,
-0.07185134291648865,
-0.020381631329655647,
0.019941695034503937,
-0.06488300114870071,
0.01090653333812952,
-0.014888804405927658,
-0.0029145809821784496,
0.0866846889257431,
0.025129158049821854,
-0.039709098637104034,
-0.04676790162920952,
-0.019581561908125877,
-0.09552649408578873,
-0.016786962747573853,
-0.01790146715939045,
-0.0014898809604346752,
-0.08598396182060242,
-0.0020633686799556017,
0.06943833082914352,
0.016542939469218254,
-0.0032148228492587805,
0.1178169995546341,
0.02665623277425766,
-0.004677761811763048,
-0.02692282944917679,
-0.003969193901866674,
0.029385320842266083,
0.01690387725830078,
0.019859615713357925,
0.02476055920124054,
-0.0050165653228759766,
-0.01418701745569706,
0.09152005612850189,
-0.025476844981312752,
0.019465070217847824,
0.005369238089770079,
0.04354116693139076,
0.03010392189025879,
-0.009204203262925148,
-0.08395303785800934,
-0.06798799335956573,
0.04875447601079941,
0.0353378988802433,
0.04103291779756546,
0.0249403715133667,
-0.04590407386422157,
-0.023156559094786644,
-0.1293555200099945,
0.074034184217453,
0.0623859167098999,
-0.01748298481106758,
-0.0016422863118350506,
0.012676984071731567,
-0.03052232600748539,
0.01871589571237564,
0.04669525474309921,
0.003644743002951145,
6.9386561669784694e-34,
-0.10038457065820694,
-0.030711695551872253,
-0.012859298847615719,
0.01636047661304474,
-0.014078503474593163,
-0.00043467877549119294,
-0.01770751364529133,
-0.03756071999669075,
0.028062250465154648,
0.0013632402988150716,
0.010064723901450634,
-0.03207188472151756,
0.018346859142184258,
0.011324598453938961,
0.006882436573505402,
-0.021516084671020508,
0.0013860552571713924,
-0.043470658361911774,
0.06993771344423294,
0.022337354719638824,
0.009157788008451462,
0.04896978288888931,
0.04036717116832733,
-0.002235786058008671,
0.04335084930062294,
0.06779187172651291,
0.0028079147450625896,
0.006250178441405296,
-0.053065214306116104,
0.02152356691658497,
0.055022429674863815,
0.06523644179105759,
-0.03780684247612953,
0.019907930865883827,
-0.048018138855695724,
0.09248125553131104,
0.04820526763796806,
-0.0395859070122242,
-0.13066111505031586,
-0.021653836593031883,
-0.03457871451973915,
-0.07351058721542358,
-0.04826345667243004,
0.013978266157209873,
-0.051027875393629074,
0.06185007467865944,
-0.005194757133722305,
0.04391974210739136,
-0.002527057658880949,
-0.01612398959696293,
-0.021820953115820885,
0.007588732521981001,
0.05387169495224953,
0.02501378022134304,
-0.003981407731771469,
0.06569228321313858,
0.029700879007577896,
0.011959925293922424,
-0.01602598838508129,
0.0715121403336525,
-0.08717894554138184,
-0.04256143793463707,
-0.006998693570494652,
0.008669670671224594,
0.1257435530424118,
0.02979283221065998,
-0.10948137193918228,
-0.04895270615816116,
0.021099286153912544,
0.019262073561549187,
0.0521756187081337,
-0.028704393655061722,
-0.03555651009082794,
0.031961314380168915,
0.020755283534526825,
-0.011568930931389332,
-0.030315207317471504,
0.013497295789420605,
-0.11544382572174072,
0.00040857610292732716,
-0.044227514415979385,
0.04466252774000168,
0.052464548498392105,
-0.02120834030210972,
0.03759258985519409,
-0.12115499377250671,
-0.0019342172890901566,
0.08259875327348709,
-0.016993146389722824,
-0.042783115059137344,
0.03358432278037071,
0.02684945985674858,
0.14533275365829468,
0.05538952350616455,
0.08442036062479019,
-2.425620286965305e-33,
-0.049659986048936844,
0.12196498364210129,
0.07808657735586166,
-0.025646358728408813,
0.013165988959372044,
0.021422741934657097,
-0.00814690999686718,
-0.012717153877019882,
-0.004287261050194502,
0.03874772787094116,
0.0025760240387171507,
-0.0493149533867836,
-0.04163479432463646,
0.05067276582121849,
0.011580941267311573,
0.07253572344779968,
-0.009041841141879559,
-0.1451774388551712,
0.09828705340623856,
0.05825990438461304,
-0.06469812989234924,
0.028048168867826462,
-0.11717937141656876,
-0.03345201909542084,
-0.112093485891819,
0.05651154741644859,
-0.04159093275666237,
-0.032828595489263535,
0.06624343991279602,
-0.06464967131614685,
0.006740549113601446,
0.01950507052242756,
0.014464293606579304,
0.08517390489578247,
0.016552302986383438,
0.03933949023485184,
-0.011358093470335007,
0.012877651490271091,
0.060554273426532745,
-0.05669523403048515,
0.006614095997065306,
-0.03735584393143654,
-0.05447271093726158,
-0.012516692280769348,
-0.017570702359080315,
0.06766236573457718,
-0.0209619402885437,
-0.03077756240963936,
-0.09729812294244766,
-0.03998952731490135,
-0.0022323615849018097,
-0.017802905291318893,
-0.0005982841248624027,
-0.0718560591340065,
-0.004730301909148693,
-0.02574610710144043,
0.07467547059059143,
0.06835072487592697,
0.01232491061091423,
-0.05167961120605469,
0.0044750915840268135,
-0.107480488717556,
0.04078385606408119,
-0.04025587439537048,
-0.07223301380872726,
-0.05606016516685486,
0.025601301342248917,
-0.09167588502168655,
0.042847778648138046,
-0.04162994399666786,
-0.010826741345226765,
0.09910230338573456,
0.02071952447295189,
-0.00045008034794591367,
0.02577158436179161,
-0.13367871940135956,
-0.03995197266340256,
-0.059074945747852325,
0.016313109546899796,
-0.009298846125602722,
-0.04836403578519821,
0.04363812878727913,
0.05698762089014053,
-0.006878061685711145,
-0.07748880982398987,
-0.022280460223555565,
-0.07603248208761215,
0.01599859818816185,
0.05357762426137924,
-0.0697067603468895,
0.02509981207549572,
0.05036367103457451,
-0.00033170924871228635,
0.16564740240573883,
-0.026371078565716743,
-4.378109963454335e-8,
-0.06689771264791489,
0.04586108401417732,
-0.0001051100407494232,
-0.002812382997944951,
-0.07292183488607407,
0.040698520839214325,
0.0670660212635994,
-0.029903583228588104,
0.02019440568983555,
0.02434808947145939,
0.05975187569856644,
-0.04827738180756569,
0.09305161982774734,
-0.01789790578186512,
-0.03712909668684006,
-0.0002745219098869711,
0.1221383735537529,
0.012224082835018635,
0.06355263292789459,
0.024683723226189613,
-0.0004659314872696996,
0.010864386335015297,
-0.059355322271585464,
0.09341801702976227,
0.0550692193210125,
-0.09333685785531998,
-0.026334386318922043,
0.01124033983796835,
0.04197589308023453,
0.05951616168022156,
0.03626482933759689,
0.052067093551158905,
0.03635396808385849,
0.10249234735965729,
0.04098682850599289,
0.026664791628718376,
0.04783368110656738,
-0.03823886439204216,
0.06316443532705307,
0.03146374598145485,
-0.019308671355247498,
0.05705307796597481,
-0.07315643876791,
-0.03148616850376129,
0.0007755359401926398,
0.005409174598753452,
-0.04988262429833412,
-0.05885713919997215,
0.024013645946979523,
0.10803717374801636,
0.010647276416420937,
0.05500659719109535,
-0.037197429686784744,
-0.030273379758000374,
0.020879581570625305,
-0.0200950987637043,
0.04187582805752754,
0.023713693022727966,
0.001208719564601779,
-0.0201517716050148,
-0.016233231872320175,
0.00045738168410025537,
-0.05359280854463577,
-0.015048191882669926
] | null | null | null | null | null | null | null |
[
-0.026457663625478745,
0.007782386615872383,
-0.12565335631370544,
-0.029242657124996185,
-0.06516411900520325,
-0.07703161239624023,
-0.047515708953142166,
0.04362610727548599,
0.02706323377788067,
-0.039487313479185104,
0.0476771779358387,
0.017085788771510124,
0.034424420446157455,
-0.015792902559041977,
0.01037669274955988,
-0.009307602420449257,
-0.041623953729867935,
0.006317404564470053,
-0.0131532596424222,
-0.07338898628950119,
0.034591518342494965,
-0.025676706805825233,
-0.04566929489374161,
-0.03501531854271889,
-0.0579318143427372,
0.08688591420650482,
-0.05227181687951088,
-0.0008419978548772633,
-0.026835955679416656,
0.0020508861634880304,
-0.0028662316035479307,
-0.08696912229061127,
-0.029050089418888092,
-0.09213022142648697,
0.046020958572626114,
0.005379012785851955,
-0.029485605657100677,
-0.03289835900068283,
-0.019105326384305954,
0.01906691864132881,
-0.021172141656279564,
0.011767152696847916,
0.0330493189394474,
0.018502214923501015,
0.0513572134077549,
-0.0035872652661055326,
-0.10538186877965927,
0.00869001355022192,
-0.0336914099752903,
-0.06741631776094437,
-0.03498433157801628,
-0.03262955695390701,
-0.010495140217244625,
0.009803006425499916,
0.12144497036933899,
-0.0389576330780983,
0.04154815524816513,
-0.02863115258514881,
0.015430514700710773,
-0.059332720935344696,
0.02339879237115383,
0.0934465155005455,
0.03726084530353546,
0.0030954848043620586,
-0.08109671622514725,
0.04389769583940506,
-0.07989757508039474,
0.08103422075510025,
0.08741205930709839,
-0.03915848955512047,
-0.07185134291648865,
-0.020381631329655647,
0.019941695034503937,
-0.06488300114870071,
0.01090653333812952,
-0.014888804405927658,
-0.0029145809821784496,
0.0866846889257431,
0.025129158049821854,
-0.039709098637104034,
-0.04676790162920952,
-0.019581561908125877,
-0.09552649408578873,
-0.016786962747573853,
-0.01790146715939045,
-0.0014898809604346752,
-0.08598396182060242,
-0.0020633686799556017,
0.06943833082914352,
0.016542939469218254,
-0.0032148228492587805,
0.1178169995546341,
0.02665623277425766,
-0.004677761811763048,
-0.02692282944917679,
-0.003969193901866674,
0.029385320842266083,
0.01690387725830078,
0.019859615713357925,
0.02476055920124054,
-0.0050165653228759766,
-0.01418701745569706,
0.09152005612850189,
-0.025476844981312752,
0.019465070217847824,
0.005369238089770079,
0.04354116693139076,
0.03010392189025879,
-0.009204203262925148,
-0.08395303785800934,
-0.06798799335956573,
0.04875447601079941,
0.0353378988802433,
0.04103291779756546,
0.0249403715133667,
-0.04590407386422157,
-0.023156559094786644,
-0.1293555200099945,
0.074034184217453,
0.0623859167098999,
-0.01748298481106758,
-0.0016422863118350506,
0.012676984071731567,
-0.03052232600748539,
0.01871589571237564,
0.04669525474309921,
0.003644743002951145,
6.9386561669784694e-34,
-0.10038457065820694,
-0.030711695551872253,
-0.012859298847615719,
0.01636047661304474,
-0.014078503474593163,
-0.00043467877549119294,
-0.01770751364529133,
-0.03756071999669075,
0.028062250465154648,
0.0013632402988150716,
0.010064723901450634,
-0.03207188472151756,
0.018346859142184258,
0.011324598453938961,
0.006882436573505402,
-0.021516084671020508,
0.0013860552571713924,
-0.043470658361911774,
0.06993771344423294,
0.022337354719638824,
0.009157788008451462,
0.04896978288888931,
0.04036717116832733,
-0.002235786058008671,
0.04335084930062294,
0.06779187172651291,
0.0028079147450625896,
0.006250178441405296,
-0.053065214306116104,
0.02152356691658497,
0.055022429674863815,
0.06523644179105759,
-0.03780684247612953,
0.019907930865883827,
-0.048018138855695724,
0.09248125553131104,
0.04820526763796806,
-0.0395859070122242,
-0.13066111505031586,
-0.021653836593031883,
-0.03457871451973915,
-0.07351058721542358,
-0.04826345667243004,
0.013978266157209873,
-0.051027875393629074,
0.06185007467865944,
-0.005194757133722305,
0.04391974210739136,
-0.002527057658880949,
-0.01612398959696293,
-0.021820953115820885,
0.007588732521981001,
0.05387169495224953,
0.02501378022134304,
-0.003981407731771469,
0.06569228321313858,
0.029700879007577896,
0.011959925293922424,
-0.01602598838508129,
0.0715121403336525,
-0.08717894554138184,
-0.04256143793463707,
-0.006998693570494652,
0.008669670671224594,
0.1257435530424118,
0.02979283221065998,
-0.10948137193918228,
-0.04895270615816116,
0.021099286153912544,
0.019262073561549187,
0.0521756187081337,
-0.028704393655061722,
-0.03555651009082794,
0.031961314380168915,
0.020755283534526825,
-0.011568930931389332,
-0.030315207317471504,
0.013497295789420605,
-0.11544382572174072,
0.00040857610292732716,
-0.044227514415979385,
0.04466252774000168,
0.052464548498392105,
-0.02120834030210972,
0.03759258985519409,
-0.12115499377250671,
-0.0019342172890901566,
0.08259875327348709,
-0.016993146389722824,
-0.042783115059137344,
0.03358432278037071,
0.02684945985674858,
0.14533275365829468,
0.05538952350616455,
0.08442036062479019,
-2.425620286965305e-33,
-0.049659986048936844,
0.12196498364210129,
0.07808657735586166,
-0.025646358728408813,
0.013165988959372044,
0.021422741934657097,
-0.00814690999686718,
-0.012717153877019882,
-0.004287261050194502,
0.03874772787094116,
0.0025760240387171507,
-0.0493149533867836,
-0.04163479432463646,
0.05067276582121849,
0.011580941267311573,
0.07253572344779968,
-0.009041841141879559,
-0.1451774388551712,
0.09828705340623856,
0.05825990438461304,
-0.06469812989234924,
0.028048168867826462,
-0.11717937141656876,
-0.03345201909542084,
-0.112093485891819,
0.05651154741644859,
-0.04159093275666237,
-0.032828595489263535,
0.06624343991279602,
-0.06464967131614685,
0.006740549113601446,
0.01950507052242756,
0.014464293606579304,
0.08517390489578247,
0.016552302986383438,
0.03933949023485184,
-0.011358093470335007,
0.012877651490271091,
0.060554273426532745,
-0.05669523403048515,
0.006614095997065306,
-0.03735584393143654,
-0.05447271093726158,
-0.012516692280769348,
-0.017570702359080315,
0.06766236573457718,
-0.0209619402885437,
-0.03077756240963936,
-0.09729812294244766,
-0.03998952731490135,
-0.0022323615849018097,
-0.017802905291318893,
-0.0005982841248624027,
-0.0718560591340065,
-0.004730301909148693,
-0.02574610710144043,
0.07467547059059143,
0.06835072487592697,
0.01232491061091423,
-0.05167961120605469,
0.0044750915840268135,
-0.107480488717556,
0.04078385606408119,
-0.04025587439537048,
-0.07223301380872726,
-0.05606016516685486,
0.025601301342248917,
-0.09167588502168655,
0.042847778648138046,
-0.04162994399666786,
-0.010826741345226765,
0.09910230338573456,
0.02071952447295189,
-0.00045008034794591367,
0.02577158436179161,
-0.13367871940135956,
-0.03995197266340256,
-0.059074945747852325,
0.016313109546899796,
-0.009298846125602722,
-0.04836403578519821,
0.04363812878727913,
0.05698762089014053,
-0.006878061685711145,
-0.07748880982398987,
-0.022280460223555565,
-0.07603248208761215,
0.01599859818816185,
0.05357762426137924,
-0.0697067603468895,
0.02509981207549572,
0.05036367103457451,
-0.00033170924871228635,
0.16564740240573883,
-0.026371078565716743,
-4.378109963454335e-8,
-0.06689771264791489,
0.04586108401417732,
-0.0001051100407494232,
-0.002812382997944951,
-0.07292183488607407,
0.040698520839214325,
0.0670660212635994,
-0.029903583228588104,
0.02019440568983555,
0.02434808947145939,
0.05975187569856644,
-0.04827738180756569,
0.09305161982774734,
-0.01789790578186512,
-0.03712909668684006,
-0.0002745219098869711,
0.1221383735537529,
0.012224082835018635,
0.06355263292789459,
0.024683723226189613,
-0.0004659314872696996,
0.010864386335015297,
-0.059355322271585464,
0.09341801702976227,
0.0550692193210125,
-0.09333685785531998,
-0.026334386318922043,
0.01124033983796835,
0.04197589308023453,
0.05951616168022156,
0.03626482933759689,
0.052067093551158905,
0.03635396808385849,
0.10249234735965729,
0.04098682850599289,
0.026664791628718376,
0.04783368110656738,
-0.03823886439204216,
0.06316443532705307,
0.03146374598145485,
-0.019308671355247498,
0.05705307796597481,
-0.07315643876791,
-0.03148616850376129,
0.0007755359401926398,
0.005409174598753452,
-0.04988262429833412,
-0.05885713919997215,
0.024013645946979523,
0.10803717374801636,
0.010647276416420937,
0.05500659719109535,
-0.037197429686784744,
-0.030273379758000374,
0.020879581570625305,
-0.0200950987637043,
0.04187582805752754,
0.023713693022727966,
0.001208719564601779,
-0.0201517716050148,
-0.016233231872320175,
0.00045738168410025537,
-0.05359280854463577,
-0.015048191882669926
] |
1402.2930
|
Martin Helmer
|
Martin Helmer
|
An Algorithm to Compute the Topological Euler Characteristic,
Chern-Schwartz-MacPherson Class and Segre Class of Projective Varieties
| null | null |
10.1016/j.jsc.2015.03.007
| null |
math.AG cs.SC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Let $V$ be a closed subscheme of a projective space $\mathbb{P}^n$. We give
an algorithm to compute the Chern-Schwartz-MacPherson class, Euler
characteristic and Segre class of $ V$. The algorithm can be implemented using
either symbolic or numerical methods. The algorithm is based on a new method
for calculating the projective degrees of a rational map defined by a
homogeneous ideal. Using this result and known formulas for the
Chern-Schwartz-MacPherson class of a projective hypersurface and the Segre
class of a projective variety in terms of the projective degrees of certain
rational maps we give algorithms to compute the Chern-Schwartz-MacPherson class
and Segre class of a projective variety. Since the Euler characteristic of $V$
is the degree of the zero dimensional component of the
Chern-Schwartz-MacPherson class of $V$ our algorithm also computes the Euler
characteristic $\chi(V)$. Relationships between the algorithm developed here
and other existing algorithms are discussed. The algorithm is tested on several
examples and performs favourably compared to current algorithms for computing
Chern-Schwartz-MacPherson classes, Segre classes and Euler characteristics.
|
[
{
"created": "Wed, 12 Feb 2014 18:52:38 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Mar 2015 16:02:29 GMT",
"version": "v2"
}
] |
2016-03-24
|
[
[
"Helmer",
"Martin",
""
]
] |
[
-0.05817577615380287,
0.05822330713272095,
0.018112512305378914,
-0.030927671119570732,
0.03825567662715912,
-0.0013247504830360413,
0.04729621484875679,
0.01740015670657158,
-0.035595983266830444,
-0.025479622185230255,
0.06855612248182297,
-0.03949533402919769,
-0.01123772095888853,
-0.039955392479896545,
-0.006571629084646702,
-0.032029278576374054,
-0.06529740244150162,
0.024741481989622116,
0.040251072496175766,
0.0237723421305418,
0.008146902546286583,
0.028888344764709473,
0.005492381751537323,
0.06047140806913376,
-0.0030461607966572046,
-0.04274006187915802,
0.08591426908969879,
0.09749242663383484,
-0.027205120772123337,
0.03649548068642616,
0.047784969210624695,
0.010670887306332588,
0.05062788352370262,
0.03747386112809181,
-0.002751374151557684,
-0.006097704172134399,
0.036220163106918335,
-0.03416870906949043,
-0.0009874387178570032,
0.06995866447687149,
0.03570150211453438,
-0.09717114269733429,
-0.010411005467176437,
0.07078726589679718,
0.06996984779834747,
0.04095517098903656,
-0.010847249068319798,
0.013109231367707253,
-0.018978258594870567,
-0.0415475070476532,
0.0696449726819992,
0.025663623586297035,
-0.03389185667037964,
-0.0070066493935883045,
-0.02586495503783226,
0.026515355333685875,
0.02486555650830269,
-0.03283979371190071,
0.020843399688601494,
0.01342221349477768,
0.03587580844759941,
-0.03512535244226456,
-0.024214768782258034,
-0.10761754214763641,
-0.08355699479579926,
-0.00046469454537145793,
-0.007165139075368643,
-0.04766448587179184,
-0.00739840604364872,
0.060810018330812454,
-0.016843363642692566,
-0.0025238923262804747,
-0.06502044200897217,
-0.026399046182632446,
-0.0471196249127388,
-0.007355805486440659,
-0.007252715528011322,
-0.06700484454631805,
-0.08884330093860626,
-0.02295573242008686,
0.0036393078044056892,
-0.008310085162520409,
-0.028346989303827286,
-0.06742987781763077,
-0.009054484777152538,
-0.023855526000261307,
-0.017085464671254158,
-0.029094018042087555,
0.0850839614868164,
0.05962377414107323,
0.003795658703893423,
-0.0555194728076458,
-0.06820680946111679,
-0.04342719167470932,
-0.03289794921875,
0.004729552660137415,
0.018197163939476013,
0.039417944848537445,
0.1327272653579712,
0.06986761838197708,
-0.030164500698447227,
-0.07270002365112305,
0.0244896300137043,
-0.06029025837779045,
0.049060627818107605,
0.07488992810249329,
0.06234113126993179,
-0.0092978710308671,
-0.03657964989542961,
-0.08167872577905655,
-0.0303275678306818,
-0.047052010893821716,
-0.09630406647920609,
-0.06341826915740967,
0.028016721829771996,
0.13002195954322815,
0.06552844494581223,
0.12505967915058136,
0.08500786125659943,
0.013849062845110893,
0.06455188989639282,
0.0272811446338892,
0.055276982486248016,
0.07501117140054703,
-0.016475697979331017,
-0.0013015600852668285,
-0.06582401692867279,
2.6215013595084694e-33,
0.0507935956120491,
0.10803867876529694,
0.015881791710853577,
-0.030063480138778687,
-0.07207580655813217,
-0.004739946220070124,
0.019415589049458504,
0.023276442661881447,
0.011964845471084118,
0.018711702898144722,
-0.0493120439350605,
0.016518285498023033,
0.027770640328526497,
0.053858160972595215,
0.047356266528367996,
0.012895255349576473,
0.007482895627617836,
0.04583996534347534,
-0.04132964834570885,
-0.05026990547776222,
0.13373976945877075,
0.060871247202157974,
0.0364634208381176,
-0.01959722861647606,
0.01654217578470707,
0.08641540259122849,
0.03554530441761017,
0.03440145403146744,
-0.01591426320374012,
-0.01802011951804161,
0.054359886795282364,
-0.042622700333595276,
0.03963097557425499,
0.013243457302451134,
0.01904071867465973,
0.025738054886460304,
-0.008173555135726929,
0.0402090884745121,
-0.026808734983205795,
-0.061418842524290085,
0.013150488957762718,
0.0029490552842617035,
0.08122509717941284,
-0.04741370305418968,
-0.05358724296092987,
0.006881564389914274,
0.032724637538194656,
0.012696660123765469,
0.07976281642913818,
0.004585804883390665,
0.03769563511013985,
-0.004408201668411493,
-0.053233802318573,
0.05449611321091652,
-0.07484738528728485,
0.024446047842502594,
0.007802761625498533,
-0.006730617955327034,
-0.005461199674755335,
0.00958270113915205,
0.02075784094631672,
-0.006263595074415207,
-0.036559153348207474,
-0.0942571684718132,
-0.04227878525853157,
-0.008885206654667854,
0.012168804183602333,
-0.025989234447479248,
0.007297375239431858,
-0.04681291803717613,
-0.08631701022386551,
0.09978993237018585,
-0.04067889228463173,
-0.07218480110168457,
-0.015596825629472733,
0.0688108578324318,
-0.0490715466439724,
-0.023258261382579803,
-0.06072889268398285,
0.015019652433693409,
-0.10172776877880096,
0.11378929764032364,
-0.004220985341817141,
-0.09216135740280151,
-0.05527786910533905,
0.019338589161634445,
-0.024947836995124817,
0.08533802628517151,
0.014189030043780804,
-0.08933212608098984,
-0.05122179910540581,
-0.00611888850107789,
-0.01575271412730217,
-0.06485175341367722,
-0.020084688439965248,
-4.919827363223229e-33,
0.011084936559200287,
-0.037944380193948746,
0.01394708827137947,
0.10625234991312027,
-0.07990443706512451,
-0.018108034506440163,
0.023307593539357185,
0.06755939871072769,
-0.12259026616811752,
-0.08254426717758179,
-0.05507167428731918,
-0.01318199373781681,
0.029748115688562393,
-0.04035758227109909,
0.07822287827730179,
0.06862979382276535,
-0.11270247399806976,
0.06824889034032822,
-0.08955076336860657,
0.027788527309894562,
-0.042596619576215744,
0.114495649933815,
0.026634514331817627,
-0.06631326675415039,
-0.08545834571123123,
-0.07702809572219849,
0.029984530061483383,
0.0038327546790242195,
-0.018263129517436028,
0.06523537635803223,
-0.013057154603302479,
-0.1342754065990448,
-0.06603367626667023,
0.040718160569667816,
0.03616362065076828,
0.04960314929485321,
-0.08528652787208557,
0.035306502133607864,
-0.07786862552165985,
0.08166932314634323,
-0.08227738738059998,
0.002142127603292465,
0.02972881682217121,
0.026343436911702156,
0.013772683218121529,
0.03246242180466652,
0.0468917079269886,
0.05828174948692322,
0.003704201430082321,
0.09067780524492264,
-0.0011642688186839223,
-0.06939832121133804,
0.032436199486255646,
0.006479485891759396,
0.013028213754296303,
0.02743593417108059,
-0.03291867673397064,
0.0073861014097929,
-0.04195629432797432,
-0.04263429716229439,
-0.011787943542003632,
-0.07122979313135147,
0.04224541038274765,
-0.009458758868277073,
0.006691544782370329,
-0.05228043347597122,
-0.06223518028855324,
-0.06632504612207413,
0.01802176609635353,
0.05043545737862587,
0.04739833623170853,
0.03150113299489021,
-0.056117624044418335,
-0.002004411071538925,
-0.035921912640333176,
0.01196400448679924,
0.01983967050909996,
0.10918114334344864,
-0.060757268220186234,
0.008823573589324951,
0.005711551755666733,
0.0115605928003788,
-0.01125839538872242,
-0.0013243169523775578,
0.014069038443267345,
0.04270496219396591,
0.09928138554096222,
-0.06421452015638351,
0.034588221460580826,
-0.06712180376052856,
-0.03409375622868538,
0.030953066423535347,
0.021781235933303833,
0.08697210997343063,
-0.03463918715715408,
-4.3861561493940826e-8,
-0.006792474538087845,
-0.08694709092378616,
-0.042967893183231354,
0.00018867415201384574,
0.04391922801733017,
-0.03091786429286003,
0.0006813984364271164,
-0.037285931408405304,
-0.026432793587446213,
-0.0004876920720562339,
0.0358545258641243,
0.03589954972267151,
-0.04229011759161949,
0.010622454807162285,
-0.004348183982074261,
-0.02986609935760498,
0.014373252168297768,
0.10921744257211685,
-0.013584447093307972,
-0.012241735123097897,
-0.04960063844919205,
0.034844040870666504,
-0.06819957494735718,
-0.023354049772024155,
-0.02876892313361168,
0.02041057124733925,
0.03004123456776142,
-0.011473636142909527,
0.010441478341817856,
0.029978498816490173,
0.11649873107671738,
-0.00919744186103344,
-0.040188126266002655,
-0.007031547836959362,
0.07419365644454956,
0.0558023601770401,
-0.03653895854949951,
0.0467798076570034,
0.027500459924340248,
0.09808859974145889,
-0.011469163000583649,
0.009424427524209023,
-0.011471299454569817,
0.017403647303581238,
0.06331588327884674,
0.06164134666323662,
-0.010567538440227509,
-0.023814823478460312,
-0.07755933701992035,
0.13930384814739227,
-0.03507021814584732,
-0.03211798146367073,
-0.10940121859312057,
-0.019550126045942307,
-0.14787162840366364,
0.026212798431515694,
-0.010170245543122292,
-0.064928337931633,
-0.033328667283058167,
-0.06106041744351387,
-0.017048504203557968,
0.02293102815747261,
-0.025439739227294922,
-0.002825816161930561
] | null | null | null | null | null | null | null |
[
-0.05817577615380287,
0.05822330713272095,
0.018112512305378914,
-0.030927671119570732,
0.03825567662715912,
-0.0013247504830360413,
0.04729621484875679,
0.01740015670657158,
-0.035595983266830444,
-0.025479622185230255,
0.06855612248182297,
-0.03949533402919769,
-0.01123772095888853,
-0.039955392479896545,
-0.006571629084646702,
-0.032029278576374054,
-0.06529740244150162,
0.024741481989622116,
0.040251072496175766,
0.0237723421305418,
0.008146902546286583,
0.028888344764709473,
0.005492381751537323,
0.06047140806913376,
-0.0030461607966572046,
-0.04274006187915802,
0.08591426908969879,
0.09749242663383484,
-0.027205120772123337,
0.03649548068642616,
0.047784969210624695,
0.010670887306332588,
0.05062788352370262,
0.03747386112809181,
-0.002751374151557684,
-0.006097704172134399,
0.036220163106918335,
-0.03416870906949043,
-0.0009874387178570032,
0.06995866447687149,
0.03570150211453438,
-0.09717114269733429,
-0.010411005467176437,
0.07078726589679718,
0.06996984779834747,
0.04095517098903656,
-0.010847249068319798,
0.013109231367707253,
-0.018978258594870567,
-0.0415475070476532,
0.0696449726819992,
0.025663623586297035,
-0.03389185667037964,
-0.0070066493935883045,
-0.02586495503783226,
0.026515355333685875,
0.02486555650830269,
-0.03283979371190071,
0.020843399688601494,
0.01342221349477768,
0.03587580844759941,
-0.03512535244226456,
-0.024214768782258034,
-0.10761754214763641,
-0.08355699479579926,
-0.00046469454537145793,
-0.007165139075368643,
-0.04766448587179184,
-0.00739840604364872,
0.060810018330812454,
-0.016843363642692566,
-0.0025238923262804747,
-0.06502044200897217,
-0.026399046182632446,
-0.0471196249127388,
-0.007355805486440659,
-0.007252715528011322,
-0.06700484454631805,
-0.08884330093860626,
-0.02295573242008686,
0.0036393078044056892,
-0.008310085162520409,
-0.028346989303827286,
-0.06742987781763077,
-0.009054484777152538,
-0.023855526000261307,
-0.017085464671254158,
-0.029094018042087555,
0.0850839614868164,
0.05962377414107323,
0.003795658703893423,
-0.0555194728076458,
-0.06820680946111679,
-0.04342719167470932,
-0.03289794921875,
0.004729552660137415,
0.018197163939476013,
0.039417944848537445,
0.1327272653579712,
0.06986761838197708,
-0.030164500698447227,
-0.07270002365112305,
0.0244896300137043,
-0.06029025837779045,
0.049060627818107605,
0.07488992810249329,
0.06234113126993179,
-0.0092978710308671,
-0.03657964989542961,
-0.08167872577905655,
-0.0303275678306818,
-0.047052010893821716,
-0.09630406647920609,
-0.06341826915740967,
0.028016721829771996,
0.13002195954322815,
0.06552844494581223,
0.12505967915058136,
0.08500786125659943,
0.013849062845110893,
0.06455188989639282,
0.0272811446338892,
0.055276982486248016,
0.07501117140054703,
-0.016475697979331017,
-0.0013015600852668285,
-0.06582401692867279,
2.6215013595084694e-33,
0.0507935956120491,
0.10803867876529694,
0.015881791710853577,
-0.030063480138778687,
-0.07207580655813217,
-0.004739946220070124,
0.019415589049458504,
0.023276442661881447,
0.011964845471084118,
0.018711702898144722,
-0.0493120439350605,
0.016518285498023033,
0.027770640328526497,
0.053858160972595215,
0.047356266528367996,
0.012895255349576473,
0.007482895627617836,
0.04583996534347534,
-0.04132964834570885,
-0.05026990547776222,
0.13373976945877075,
0.060871247202157974,
0.0364634208381176,
-0.01959722861647606,
0.01654217578470707,
0.08641540259122849,
0.03554530441761017,
0.03440145403146744,
-0.01591426320374012,
-0.01802011951804161,
0.054359886795282364,
-0.042622700333595276,
0.03963097557425499,
0.013243457302451134,
0.01904071867465973,
0.025738054886460304,
-0.008173555135726929,
0.0402090884745121,
-0.026808734983205795,
-0.061418842524290085,
0.013150488957762718,
0.0029490552842617035,
0.08122509717941284,
-0.04741370305418968,
-0.05358724296092987,
0.006881564389914274,
0.032724637538194656,
0.012696660123765469,
0.07976281642913818,
0.004585804883390665,
0.03769563511013985,
-0.004408201668411493,
-0.053233802318573,
0.05449611321091652,
-0.07484738528728485,
0.024446047842502594,
0.007802761625498533,
-0.006730617955327034,
-0.005461199674755335,
0.00958270113915205,
0.02075784094631672,
-0.006263595074415207,
-0.036559153348207474,
-0.0942571684718132,
-0.04227878525853157,
-0.008885206654667854,
0.012168804183602333,
-0.025989234447479248,
0.007297375239431858,
-0.04681291803717613,
-0.08631701022386551,
0.09978993237018585,
-0.04067889228463173,
-0.07218480110168457,
-0.015596825629472733,
0.0688108578324318,
-0.0490715466439724,
-0.023258261382579803,
-0.06072889268398285,
0.015019652433693409,
-0.10172776877880096,
0.11378929764032364,
-0.004220985341817141,
-0.09216135740280151,
-0.05527786910533905,
0.019338589161634445,
-0.024947836995124817,
0.08533802628517151,
0.014189030043780804,
-0.08933212608098984,
-0.05122179910540581,
-0.00611888850107789,
-0.01575271412730217,
-0.06485175341367722,
-0.020084688439965248,
-4.919827363223229e-33,
0.011084936559200287,
-0.037944380193948746,
0.01394708827137947,
0.10625234991312027,
-0.07990443706512451,
-0.018108034506440163,
0.023307593539357185,
0.06755939871072769,
-0.12259026616811752,
-0.08254426717758179,
-0.05507167428731918,
-0.01318199373781681,
0.029748115688562393,
-0.04035758227109909,
0.07822287827730179,
0.06862979382276535,
-0.11270247399806976,
0.06824889034032822,
-0.08955076336860657,
0.027788527309894562,
-0.042596619576215744,
0.114495649933815,
0.026634514331817627,
-0.06631326675415039,
-0.08545834571123123,
-0.07702809572219849,
0.029984530061483383,
0.0038327546790242195,
-0.018263129517436028,
0.06523537635803223,
-0.013057154603302479,
-0.1342754065990448,
-0.06603367626667023,
0.040718160569667816,
0.03616362065076828,
0.04960314929485321,
-0.08528652787208557,
0.035306502133607864,
-0.07786862552165985,
0.08166932314634323,
-0.08227738738059998,
0.002142127603292465,
0.02972881682217121,
0.026343436911702156,
0.013772683218121529,
0.03246242180466652,
0.0468917079269886,
0.05828174948692322,
0.003704201430082321,
0.09067780524492264,
-0.0011642688186839223,
-0.06939832121133804,
0.032436199486255646,
0.006479485891759396,
0.013028213754296303,
0.02743593417108059,
-0.03291867673397064,
0.0073861014097929,
-0.04195629432797432,
-0.04263429716229439,
-0.011787943542003632,
-0.07122979313135147,
0.04224541038274765,
-0.009458758868277073,
0.006691544782370329,
-0.05228043347597122,
-0.06223518028855324,
-0.06632504612207413,
0.01802176609635353,
0.05043545737862587,
0.04739833623170853,
0.03150113299489021,
-0.056117624044418335,
-0.002004411071538925,
-0.035921912640333176,
0.01196400448679924,
0.01983967050909996,
0.10918114334344864,
-0.060757268220186234,
0.008823573589324951,
0.005711551755666733,
0.0115605928003788,
-0.01125839538872242,
-0.0013243169523775578,
0.014069038443267345,
0.04270496219396591,
0.09928138554096222,
-0.06421452015638351,
0.034588221460580826,
-0.06712180376052856,
-0.03409375622868538,
0.030953066423535347,
0.021781235933303833,
0.08697210997343063,
-0.03463918715715408,
-4.3861561493940826e-8,
-0.006792474538087845,
-0.08694709092378616,
-0.042967893183231354,
0.00018867415201384574,
0.04391922801733017,
-0.03091786429286003,
0.0006813984364271164,
-0.037285931408405304,
-0.026432793587446213,
-0.0004876920720562339,
0.0358545258641243,
0.03589954972267151,
-0.04229011759161949,
0.010622454807162285,
-0.004348183982074261,
-0.02986609935760498,
0.014373252168297768,
0.10921744257211685,
-0.013584447093307972,
-0.012241735123097897,
-0.04960063844919205,
0.034844040870666504,
-0.06819957494735718,
-0.023354049772024155,
-0.02876892313361168,
0.02041057124733925,
0.03004123456776142,
-0.011473636142909527,
0.010441478341817856,
0.029978498816490173,
0.11649873107671738,
-0.00919744186103344,
-0.040188126266002655,
-0.007031547836959362,
0.07419365644454956,
0.0558023601770401,
-0.03653895854949951,
0.0467798076570034,
0.027500459924340248,
0.09808859974145889,
-0.011469163000583649,
0.009424427524209023,
-0.011471299454569817,
0.017403647303581238,
0.06331588327884674,
0.06164134666323662,
-0.010567538440227509,
-0.023814823478460312,
-0.07755933701992035,
0.13930384814739227,
-0.03507021814584732,
-0.03211798146367073,
-0.10940121859312057,
-0.019550126045942307,
-0.14787162840366364,
0.026212798431515694,
-0.010170245543122292,
-0.064928337931633,
-0.033328667283058167,
-0.06106041744351387,
-0.017048504203557968,
0.02293102815747261,
-0.025439739227294922,
-0.002825816161930561
] |
1402.2934
|
Tommaso Toffoli
|
Lev B Levitin and Tommaso Toffoli
|
A quantum limit on the information retrievable from an image
|
3 pages
| null | null | null |
quant-ph physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the physical limitations imposed on the information content of an
image by the wave and quantum nature of light, when the image is obtained by
illuminating a reflecting or transmitting planar object by natural---i.e.,
fully thermalized---light, or by observation of an object emitting incoherent
(thermal) radiation. The discreteness of the degrees of freedom and the
statistical properties of thermal radiation are taken into account. We derive
the maximum amount of information that can be retrieved from the object. This
amount is always finite and is proportional to the area of the object, the
solid angle under which the entrance pupil of the receiver is seen from the
object, and the time of observation.
An explicit expression for the information in the case where the information
recorded by the receiver obeys Planck's spectral distribution is obtained. The
amount of information per photon of recorded radiation is a universal numerical
constant, independent of the parameters of observation.
|
[
{
"created": "Wed, 12 Feb 2014 19:09:29 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Levitin",
"Lev B",
""
],
[
"Toffoli",
"Tommaso",
""
]
] |
[
0.04445391893386841,
0.018120137974619865,
-0.03218122571706772,
0.04448486864566803,
-0.013606465421617031,
-0.035678476095199585,
0.047478850930929184,
-0.017157863825559616,
0.04389822855591774,
0.044289976358413696,
0.03982049599289894,
-0.07046879827976227,
0.02721431851387024,
-0.034265972673892975,
0.05029451847076416,
-0.03694109246134758,
0.10343234986066818,
0.0017585000023245811,
-0.09981681406497955,
0.003473155200481415,
0.038438212126493454,
-0.04369170591235161,
-0.05796463042497635,
-0.04869576543569565,
0.049476347863674164,
-0.04347323626279831,
0.06415015459060669,
-0.0506255105137825,
0.019128188490867615,
0.020226718857884407,
0.03279249742627144,
-0.04229727014899254,
0.009640473872423172,
-0.0019977048505097628,
0.016162948682904243,
-0.052132684737443924,
0.0183152686804533,
-0.05957290902733803,
-0.042442481964826584,
0.021352075040340424,
0.036038026213645935,
0.06625176966190338,
-0.04894069582223892,
0.06383947283029556,
0.02405019849538803,
0.10102494806051254,
0.0748126283288002,
-0.0634465366601944,
-0.05838717147707939,
-0.07923020422458649,
0.0031521664932370186,
0.027501611039042473,
-0.025751985609531403,
0.06944842636585236,
0.005213345866650343,
0.028094885870814323,
-0.01675383187830448,
-0.028607970103621483,
-0.028994830325245857,
0.018183426931500435,
0.000635789183434099,
-0.0017534412909299135,
-0.018127288669347763,
-0.02977834641933441,
0.045946042984724045,
-0.0026891659945249557,
-0.04758981987833977,
-0.0856059342622757,
-0.02082815207540989,
0.012066531926393509,
-0.03271931782364845,
0.03914090245962143,
-0.0010322488378733397,
-0.0443083718419075,
0.047609344124794006,
-0.08284705877304077,
0.027365805581212044,
0.047879066318273544,
0.02762882597744465,
0.009158373810350895,
0.0538347065448761,
-0.011957172304391861,
0.0015710906591266394,
0.01672191172838211,
0.02195942960679531,
0.018270665779709816,
0.002337232930585742,
0.13133452832698822,
-0.05058140680193901,
0.005991882644593716,
-0.14688757061958313,
-0.0923917219042778,
-0.10293203592300415,
-0.023381806910037994,
-0.018797878175973892,
-0.04523174837231636,
0.06919867545366287,
-0.09450311958789825,
0.06551339477300644,
-0.017094675451517105,
0.00912849884480238,
-0.04611492156982422,
-0.014786304906010628,
0.10685186088085175,
-0.04375309497117996,
-0.024726862087845802,
0.05068686977028847,
0.0417100265622139,
0.004752413369715214,
0.025500472635030746,
0.07126136869192123,
0.0023169727064669132,
-0.07876871526241302,
0.012640985660254955,
0.028071297332644463,
-0.07874395698308945,
-0.028671305626630783,
0.11277403682470322,
-0.02582637406885624,
-0.034768640995025635,
0.04283978417515755,
0.05196487158536911,
0.04540272802114487,
0.0705488994717598,
-0.03453145548701286,
-0.04218028113245964,
0.05653071403503418,
-8.125107870024848e-34,
-0.01095000933855772,
0.0161643847823143,
-0.05966847389936447,
0.042457543313503265,
0.10277309268712997,
0.04184288904070854,
0.026111677289009094,
-0.00851138960570097,
0.04686945676803589,
-0.0023808947298675776,
0.046447452157735825,
0.048233501613140106,
0.0012998644961044192,
0.06363584101200104,
0.1374862939119339,
0.11983441561460495,
-0.026928583160042763,
0.12100094556808472,
0.006006657145917416,
0.006477306131273508,
0.03495071083307266,
-0.001256393501535058,
0.00264535378664732,
-0.0027304317336529493,
-0.004274257458746433,
-0.03175688907504082,
0.02910701185464859,
-0.006871988531202078,
-0.02418466843664646,
-0.01760985143482685,
-0.03777272626757622,
0.04992247000336647,
-0.0024708686396479607,
-0.06998074054718018,
0.042176879942417145,
-0.05923811346292496,
0.012922428548336029,
0.058120328933000565,
-0.09611167013645172,
0.004111478570848703,
0.06962449103593826,
0.03902488946914673,
0.1015148013830185,
0.011048573069274426,
-0.013950022868812084,
0.011051293462514877,
-0.03331824392080307,
-0.019388841465115547,
-0.1070135161280632,
0.0005795132019557059,
-0.028523992747068405,
-0.10516612976789474,
-0.0656052678823471,
-0.008504636585712433,
0.022463692352175713,
-0.021415261551737785,
-0.02483559213578701,
0.00699924910441041,
-0.028628911823034286,
-0.01515124924480915,
-0.053697410970926285,
0.01314077153801918,
0.11580202728509903,
0.0030755577608942986,
0.0024188077077269554,
0.00851181149482727,
-0.12811584770679474,
-0.0365353524684906,
-0.017902612686157227,
-0.007929425686597824,
-0.032652173191308975,
0.09068974107503891,
-0.016882818192243576,
-0.07823354750871658,
0.02531243860721588,
0.008077627047896385,
0.044828590005636215,
-0.00969560444355011,
-0.042034607380628586,
0.10084649175405502,
-0.08465640991926193,
-0.053362905979156494,
-0.010697638615965843,
-0.10304945707321167,
-0.05779591202735901,
0.06637504696846008,
-0.028511997312307358,
-0.04435638710856438,
-0.10249830037355423,
-0.0008828846621327102,
-0.012403846718370914,
0.03512601926922798,
-0.07381885498762131,
-0.02020890824496746,
-0.10240693390369415,
-1.3947209248437748e-33,
0.01998784951865673,
-0.0005456833750940859,
-0.0006495825364254415,
0.02772115170955658,
-0.01109573058784008,
0.00270758755505085,
0.0021432575304061174,
0.05092548206448555,
-0.03183107450604439,
-0.054223041981458664,
0.0007276445394381881,
0.0378555990755558,
-0.04909984767436981,
0.002248884877189994,
-0.09097467362880707,
0.03241034597158432,
0.014196166768670082,
0.0028362269513309,
-0.010285249911248684,
-0.01221525389701128,
-0.05613785982131958,
-0.011595071293413639,
0.03681790828704834,
-0.028048556298017502,
0.0030500171706080437,
0.05820133537054062,
0.026512740179896355,
0.010308513417840004,
-0.022757505998015404,
-0.010983231477439404,
-0.06795123219490051,
-0.08010051399469376,
-0.033519163727760315,
-0.028541358187794685,
-0.01785668358206749,
-0.015566913411021233,
0.09131701290607452,
0.036049775779247284,
-0.036249350756406784,
0.019695566967129707,
0.07400786131620407,
0.0038060839287936687,
-0.038864973932504654,
-0.0015698574716225266,
0.0025984689127653837,
-0.06146339699625969,
-0.023033712059259415,
-0.03173387795686722,
0.020795227959752083,
0.04917100816965103,
0.06363232433795929,
-0.047237250953912735,
0.009526153095066547,
0.10964317619800568,
-0.034920547157526016,
0.02393834851682186,
-0.0350191704928875,
0.06140734255313873,
0.15451522171497345,
0.07327467203140259,
-0.0139445336535573,
0.008051369339227676,
-0.04421410337090492,
0.06210416182875633,
-0.00033152621472254395,
0.035661108791828156,
-0.08257295191287994,
-0.02114630676805973,
0.07275108993053436,
0.008161063306033611,
0.02821977436542511,
-0.07427553087472916,
-0.010686906985938549,
0.007734585087746382,
0.06148091331124306,
0.08510401844978333,
0.048580631613731384,
-0.024293342605233192,
-0.019696084782481194,
0.0526830330491066,
-0.07856966555118561,
0.03518541529774666,
-0.01042297575622797,
0.01986100897192955,
0.09752693772315979,
-0.019988488405942917,
0.029646312817931175,
-0.09000758081674576,
0.03252271190285683,
-0.09273586422204971,
-0.00044914032332599163,
0.056308262050151825,
0.0163249708712101,
-0.10018874704837799,
0.0635169968008995,
-4.8781227945937644e-8,
-0.019094856455922127,
-0.07216145098209381,
-0.01431484054774046,
-0.017926346510648727,
0.10898792743682861,
0.028945213183760643,
0.026393067091703415,
-0.05008365958929062,
-0.01762254722416401,
-0.07500499486923218,
0.0031934103462845087,
-0.008989568799734116,
-0.044081684201955795,
0.06459903717041016,
0.0034036932047456503,
0.02273237518966198,
-0.016243791207671165,
-0.1403319388628006,
0.07198075205087662,
-0.006453927140682936,
-0.08197034895420074,
-0.08607999980449677,
0.003876329865306616,
-0.025057664141058922,
-0.016279902309179306,
0.07303901016712189,
0.0045542046427726746,
0.04063796624541283,
0.029176296666264534,
0.07272215932607651,
-0.003830785397440195,
-0.010744261555373669,
0.03189791366457939,
0.0538276769220829,
-0.023486075922846794,
-0.12277238816022873,
-0.0410575307905674,
-0.02319812774658203,
-0.03237852454185486,
-0.008276711218059063,
-0.0014000511728227139,
0.004777430556714535,
0.020814182236790657,
0.04535035416483879,
0.06131798028945923,
0.013768790289759636,
0.0434182807803154,
-0.011122973635792732,
-0.042735755443573,
0.09526126831769943,
-0.011529008857905865,
-0.003722268622368574,
0.018630744889378548,
-0.030936283990740776,
-0.10084503889083862,
-0.03776136785745621,
0.07433875650167465,
-0.039368223398923874,
-0.05931921303272247,
0.01703806035220623,
0.07168983668088913,
0.05154340714216232,
-0.09802380204200745,
0.02749447524547577
] | null | null | null | null | null | null | null |
[
0.04445391893386841,
0.018120137974619865,
-0.03218122571706772,
0.04448486864566803,
-0.013606465421617031,
-0.035678476095199585,
0.047478850930929184,
-0.017157863825559616,
0.04389822855591774,
0.044289976358413696,
0.03982049599289894,
-0.07046879827976227,
0.02721431851387024,
-0.034265972673892975,
0.05029451847076416,
-0.03694109246134758,
0.10343234986066818,
0.0017585000023245811,
-0.09981681406497955,
0.003473155200481415,
0.038438212126493454,
-0.04369170591235161,
-0.05796463042497635,
-0.04869576543569565,
0.049476347863674164,
-0.04347323626279831,
0.06415015459060669,
-0.0506255105137825,
0.019128188490867615,
0.020226718857884407,
0.03279249742627144,
-0.04229727014899254,
0.009640473872423172,
-0.0019977048505097628,
0.016162948682904243,
-0.052132684737443924,
0.0183152686804533,
-0.05957290902733803,
-0.042442481964826584,
0.021352075040340424,
0.036038026213645935,
0.06625176966190338,
-0.04894069582223892,
0.06383947283029556,
0.02405019849538803,
0.10102494806051254,
0.0748126283288002,
-0.0634465366601944,
-0.05838717147707939,
-0.07923020422458649,
0.0031521664932370186,
0.027501611039042473,
-0.025751985609531403,
0.06944842636585236,
0.005213345866650343,
0.028094885870814323,
-0.01675383187830448,
-0.028607970103621483,
-0.028994830325245857,
0.018183426931500435,
0.000635789183434099,
-0.0017534412909299135,
-0.018127288669347763,
-0.02977834641933441,
0.045946042984724045,
-0.0026891659945249557,
-0.04758981987833977,
-0.0856059342622757,
-0.02082815207540989,
0.012066531926393509,
-0.03271931782364845,
0.03914090245962143,
-0.0010322488378733397,
-0.0443083718419075,
0.047609344124794006,
-0.08284705877304077,
0.027365805581212044,
0.047879066318273544,
0.02762882597744465,
0.009158373810350895,
0.0538347065448761,
-0.011957172304391861,
0.0015710906591266394,
0.01672191172838211,
0.02195942960679531,
0.018270665779709816,
0.002337232930585742,
0.13133452832698822,
-0.05058140680193901,
0.005991882644593716,
-0.14688757061958313,
-0.0923917219042778,
-0.10293203592300415,
-0.023381806910037994,
-0.018797878175973892,
-0.04523174837231636,
0.06919867545366287,
-0.09450311958789825,
0.06551339477300644,
-0.017094675451517105,
0.00912849884480238,
-0.04611492156982422,
-0.014786304906010628,
0.10685186088085175,
-0.04375309497117996,
-0.024726862087845802,
0.05068686977028847,
0.0417100265622139,
0.004752413369715214,
0.025500472635030746,
0.07126136869192123,
0.0023169727064669132,
-0.07876871526241302,
0.012640985660254955,
0.028071297332644463,
-0.07874395698308945,
-0.028671305626630783,
0.11277403682470322,
-0.02582637406885624,
-0.034768640995025635,
0.04283978417515755,
0.05196487158536911,
0.04540272802114487,
0.0705488994717598,
-0.03453145548701286,
-0.04218028113245964,
0.05653071403503418,
-8.125107870024848e-34,
-0.01095000933855772,
0.0161643847823143,
-0.05966847389936447,
0.042457543313503265,
0.10277309268712997,
0.04184288904070854,
0.026111677289009094,
-0.00851138960570097,
0.04686945676803589,
-0.0023808947298675776,
0.046447452157735825,
0.048233501613140106,
0.0012998644961044192,
0.06363584101200104,
0.1374862939119339,
0.11983441561460495,
-0.026928583160042763,
0.12100094556808472,
0.006006657145917416,
0.006477306131273508,
0.03495071083307266,
-0.001256393501535058,
0.00264535378664732,
-0.0027304317336529493,
-0.004274257458746433,
-0.03175688907504082,
0.02910701185464859,
-0.006871988531202078,
-0.02418466843664646,
-0.01760985143482685,
-0.03777272626757622,
0.04992247000336647,
-0.0024708686396479607,
-0.06998074054718018,
0.042176879942417145,
-0.05923811346292496,
0.012922428548336029,
0.058120328933000565,
-0.09611167013645172,
0.004111478570848703,
0.06962449103593826,
0.03902488946914673,
0.1015148013830185,
0.011048573069274426,
-0.013950022868812084,
0.011051293462514877,
-0.03331824392080307,
-0.019388841465115547,
-0.1070135161280632,
0.0005795132019557059,
-0.028523992747068405,
-0.10516612976789474,
-0.0656052678823471,
-0.008504636585712433,
0.022463692352175713,
-0.021415261551737785,
-0.02483559213578701,
0.00699924910441041,
-0.028628911823034286,
-0.01515124924480915,
-0.053697410970926285,
0.01314077153801918,
0.11580202728509903,
0.0030755577608942986,
0.0024188077077269554,
0.00851181149482727,
-0.12811584770679474,
-0.0365353524684906,
-0.017902612686157227,
-0.007929425686597824,
-0.032652173191308975,
0.09068974107503891,
-0.016882818192243576,
-0.07823354750871658,
0.02531243860721588,
0.008077627047896385,
0.044828590005636215,
-0.00969560444355011,
-0.042034607380628586,
0.10084649175405502,
-0.08465640991926193,
-0.053362905979156494,
-0.010697638615965843,
-0.10304945707321167,
-0.05779591202735901,
0.06637504696846008,
-0.028511997312307358,
-0.04435638710856438,
-0.10249830037355423,
-0.0008828846621327102,
-0.012403846718370914,
0.03512601926922798,
-0.07381885498762131,
-0.02020890824496746,
-0.10240693390369415,
-1.3947209248437748e-33,
0.01998784951865673,
-0.0005456833750940859,
-0.0006495825364254415,
0.02772115170955658,
-0.01109573058784008,
0.00270758755505085,
0.0021432575304061174,
0.05092548206448555,
-0.03183107450604439,
-0.054223041981458664,
0.0007276445394381881,
0.0378555990755558,
-0.04909984767436981,
0.002248884877189994,
-0.09097467362880707,
0.03241034597158432,
0.014196166768670082,
0.0028362269513309,
-0.010285249911248684,
-0.01221525389701128,
-0.05613785982131958,
-0.011595071293413639,
0.03681790828704834,
-0.028048556298017502,
0.0030500171706080437,
0.05820133537054062,
0.026512740179896355,
0.010308513417840004,
-0.022757505998015404,
-0.010983231477439404,
-0.06795123219490051,
-0.08010051399469376,
-0.033519163727760315,
-0.028541358187794685,
-0.01785668358206749,
-0.015566913411021233,
0.09131701290607452,
0.036049775779247284,
-0.036249350756406784,
0.019695566967129707,
0.07400786131620407,
0.0038060839287936687,
-0.038864973932504654,
-0.0015698574716225266,
0.0025984689127653837,
-0.06146339699625969,
-0.023033712059259415,
-0.03173387795686722,
0.020795227959752083,
0.04917100816965103,
0.06363232433795929,
-0.047237250953912735,
0.009526153095066547,
0.10964317619800568,
-0.034920547157526016,
0.02393834851682186,
-0.0350191704928875,
0.06140734255313873,
0.15451522171497345,
0.07327467203140259,
-0.0139445336535573,
0.008051369339227676,
-0.04421410337090492,
0.06210416182875633,
-0.00033152621472254395,
0.035661108791828156,
-0.08257295191287994,
-0.02114630676805973,
0.07275108993053436,
0.008161063306033611,
0.02821977436542511,
-0.07427553087472916,
-0.010686906985938549,
0.007734585087746382,
0.06148091331124306,
0.08510401844978333,
0.048580631613731384,
-0.024293342605233192,
-0.019696084782481194,
0.0526830330491066,
-0.07856966555118561,
0.03518541529774666,
-0.01042297575622797,
0.01986100897192955,
0.09752693772315979,
-0.019988488405942917,
0.029646312817931175,
-0.09000758081674576,
0.03252271190285683,
-0.09273586422204971,
-0.00044914032332599163,
0.056308262050151825,
0.0163249708712101,
-0.10018874704837799,
0.0635169968008995,
-4.8781227945937644e-8,
-0.019094856455922127,
-0.07216145098209381,
-0.01431484054774046,
-0.017926346510648727,
0.10898792743682861,
0.028945213183760643,
0.026393067091703415,
-0.05008365958929062,
-0.01762254722416401,
-0.07500499486923218,
0.0031934103462845087,
-0.008989568799734116,
-0.044081684201955795,
0.06459903717041016,
0.0034036932047456503,
0.02273237518966198,
-0.016243791207671165,
-0.1403319388628006,
0.07198075205087662,
-0.006453927140682936,
-0.08197034895420074,
-0.08607999980449677,
0.003876329865306616,
-0.025057664141058922,
-0.016279902309179306,
0.07303901016712189,
0.0045542046427726746,
0.04063796624541283,
0.029176296666264534,
0.07272215932607651,
-0.003830785397440195,
-0.010744261555373669,
0.03189791366457939,
0.0538276769220829,
-0.023486075922846794,
-0.12277238816022873,
-0.0410575307905674,
-0.02319812774658203,
-0.03237852454185486,
-0.008276711218059063,
-0.0014000511728227139,
0.004777430556714535,
0.020814182236790657,
0.04535035416483879,
0.06131798028945923,
0.013768790289759636,
0.0434182807803154,
-0.011122973635792732,
-0.042735755443573,
0.09526126831769943,
-0.011529008857905865,
-0.003722268622368574,
0.018630744889378548,
-0.030936283990740776,
-0.10084503889083862,
-0.03776136785745621,
0.07433875650167465,
-0.039368223398923874,
-0.05931921303272247,
0.01703806035220623,
0.07168983668088913,
0.05154340714216232,
-0.09802380204200745,
0.02749447524547577
] |
1402.2936
|
Jens Steinwandt
|
Jens Steinwandt, Florian Roemer, Martin Haardt, Giovanni Del Galdo
|
R-dimensional ESPRIT-type algorithms for strictly second-order
non-circular sources and their performance analysis
|
accepted at IEEE Transactions on Signal Processing, 15 pages, 6
figures
| null |
10.1109/TSP.2014.2342673
| null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
High-resolution parameter estimation algorithms designed to exploit the prior
knowledge about incident signals from strictly second-order (SO) non-circular
(NC) sources allow for a lower estimation error and can resolve twice as many
sources. In this paper, we derive the R-D NC Standard ESPRIT and the R-D NC
Unitary ESPRIT algorithms that provide a significantly better performance
compared to their original versions for arbitrary source signals. They are
applicable to shift-invariant R-D antenna arrays and do not require a
centrosymmetric array structure. Moreover, we present a first-order asymptotic
performance analysis of the proposed algorithms, which is based on the error in
the signal subspace estimate arising from the noise perturbation. The derived
expressions for the resulting parameter estimation error are explicit in the
noise realizations and asymptotic in the effective signal-to-noise ratio (SNR),
i.e., the results become exact for either high SNRs or a large sample size. We
also provide mean squared error (MSE) expressions, where only the assumptions
of a zero mean and finite SO moments of the noise are required, but no
assumptions about its statistics are necessary. As a main result, we
analytically prove that the asymptotic performance of both R-D NC ESPRIT-type
algorithms is identical in the high effective SNR regime. Finally, a case study
shows that no improvement from strictly non-circular sources can be achieved in
the special case of a single source.
|
[
{
"created": "Wed, 12 Feb 2014 19:15:24 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Aug 2014 17:45:37 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jan 2015 19:57:03 GMT",
"version": "v3"
}
] |
2015-01-07
|
[
[
"Steinwandt",
"Jens",
""
],
[
"Roemer",
"Florian",
""
],
[
"Haardt",
"Martin",
""
],
[
"Del Galdo",
"Giovanni",
""
]
] |
[
-0.050761930644512177,
-0.03646444156765938,
0.00291735352948308,
-0.00016905188385862857,
0.09388274699449539,
0.009051852859556675,
-0.03702593967318535,
-0.03407172113656998,
0.04763689637184143,
0.013704887591302395,
-0.07755254209041595,
0.08696899563074112,
0.08405454456806183,
-0.08401704579591751,
-0.00019107619300484657,
-0.059100136160850525,
0.034464046359062195,
0.014077354222536087,
0.05906162038445473,
-0.008400902152061462,
-0.007269102614372969,
0.04170844703912735,
-0.004434608388692141,
0.010668737813830376,
0.15320977568626404,
0.00448274053633213,
0.04843800514936447,
-0.0049158670008182526,
-0.027485663071274757,
-0.004934835713356733,
-0.012845613993704319,
0.06590579450130463,
0.01405674871057272,
-0.04894984886050224,
-0.059666190296411514,
0.009899013675749302,
0.03846517950296402,
0.02153521031141281,
0.05631564185023308,
0.055825892835855484,
-0.001484311418607831,
0.10442628711462021,
-0.010850072838366032,
-0.008802914060652256,
-0.11226461082696915,
-0.02845066599547863,
0.012576166540384293,
-0.055266812443733215,
-0.00970474723726511,
0.017280511558055878,
0.032357554882764816,
0.044771481305360794,
-0.10692664235830307,
0.026211263611912727,
0.039319269359111786,
-0.09567955881357193,
-0.07798704504966736,
-0.01688331551849842,
0.06934253126382828,
0.05928803235292435,
0.07921233028173447,
-0.06719303876161575,
0.0913226380944252,
0.004061541054397821,
-0.031011665239930153,
-0.01506586279720068,
0.060316357761621475,
0.05443188175559044,
-0.015318700112402439,
0.0020291830878704786,
-0.10565321892499924,
0.05679302662611008,
-0.005913471337407827,
0.04505876079201698,
0.05340090021491051,
0.039262499660253525,
-0.03237266093492508,
0.03186429664492607,
0.07372824102640152,
-0.006327781360596418,
0.023888811469078064,
0.08300486952066422,
-0.05798740312457085,
-0.12213464081287384,
0.04143686965107918,
0.12299942225217819,
-0.06580989062786102,
0.03309553861618042,
0.03303925693035126,
-0.045593343675136566,
-0.056051529943943024,
-0.07596072554588318,
-0.11325258016586304,
0.05322089046239853,
0.017101412639021873,
-0.04162614792585373,
0.007251454517245293,
-0.038850586861371994,
-0.006497187539935112,
0.06126086786389351,
0.05643269419670105,
0.034129735082387924,
-0.033910829573869705,
0.013848022557795048,
0.015006434172391891,
-0.08953626453876495,
0.07471378892660141,
0.023816624656319618,
-0.01999950408935547,
-0.001201246283017099,
0.044427674263715744,
0.02181793749332428,
-0.03699139878153801,
0.030758021399378777,
-0.03965060040354729,
-0.030759548768401146,
0.08458949625492096,
0.08415570110082626,
0.04062184318900108,
-0.05865509808063507,
0.009483961388468742,
-0.05469081550836563,
0.05947672948241234,
0.03807911276817322,
0.04684871435165405,
0.07262829691171646,
-0.06672558933496475,
2.352073829867178e-33,
0.022088101133704185,
0.10585304349660873,
0.017959339544177055,
-0.015058244578540325,
-0.022584469988942146,
0.027859630063176155,
-0.0025730873458087444,
0.06901075690984726,
0.1462407261133194,
0.08041024953126907,
-0.023621397092938423,
-0.05162344127893448,
0.0031124919187277555,
-0.06475862115621567,
0.037006501108407974,
0.051694344729185104,
0.06141974404454231,
0.04638946056365967,
-0.006625947076827288,
-0.060932908207178116,
-0.003176148748025298,
-0.009637469425797462,
-0.02476583793759346,
0.013988333754241467,
-0.019276706501841545,
0.02139422297477722,
-0.03368721529841423,
-0.02657819539308548,
-0.022480478510260582,
-0.0059196180664002895,
0.0280588511377573,
0.003726899391040206,
0.024838589131832123,
0.05937850475311279,
0.0389990471303463,
-0.0947742760181427,
-0.007677842862904072,
0.022496668621897697,
-0.021737733855843544,
0.025516362860798836,
0.0293068028986454,
0.04151417315006256,
0.02455075830221176,
-0.019180886447429657,
-0.020155666396021843,
-0.10951678454875946,
-0.020262477919459343,
0.01346546784043312,
0.10546005517244339,
-0.058707498013973236,
-0.06146685779094696,
0.014355715364217758,
-0.005296948831528425,
0.02634294517338276,
0.029426172375679016,
0.001990231219679117,
-0.03293027728796005,
-0.013780456967651844,
0.010332383215427399,
0.0569206140935421,
-0.11470095813274384,
-0.025366919115185738,
0.020852234214544296,
0.001804801868274808,
0.04463592544198036,
-0.006364800501614809,
-0.09399034827947617,
-0.044589150696992874,
-0.026880163699388504,
0.017000138759613037,
0.10566122084856033,
0.03244210034608841,
-0.034115783870220184,
0.007649259176105261,
0.03099091909825802,
-0.025157365947961807,
-0.01837635599076748,
0.014944897033274174,
0.031237920746207237,
-0.029268432408571243,
-0.016476627439260483,
0.033299628645181656,
-0.04602966457605362,
-0.01285459939390421,
0.05521705001592636,
0.0821714773774147,
-0.037593696266412735,
-0.09655474126338959,
0.007103692274540663,
-0.04451724886894226,
-0.05669264495372772,
0.04465074837207794,
-0.08150314539670944,
-0.04559912160038948,
-0.076592817902565,
-1.9259470257895212e-33,
0.024332620203495026,
0.07331738620996475,
0.0398717038333416,
-0.06329739838838577,
-0.03435744345188141,
-0.038420211523771286,
0.020260706543922424,
-0.008782725781202316,
0.011227359063923359,
-0.021084632724523544,
-0.053894806653261185,
-0.025462470948696136,
-0.07807032763957977,
0.08830433338880539,
0.07943550497293472,
0.018508674576878548,
0.0956503301858902,
-0.026369281113147736,
0.009110430255532265,
-0.05577445402741432,
0.048332881182432175,
-0.06813091039657593,
0.05683554708957672,
0.00739856343716383,
-0.033851444721221924,
0.008872037753462791,
-0.05483667179942131,
0.054573822766542435,
-0.01710396818816662,
-0.038584668189287186,
-0.04537045955657959,
-0.0015109938103705645,
-0.021257808431982994,
0.015224332921206951,
0.006411376874893904,
0.017590554431080818,
-0.034175336360931396,
0.02962365373969078,
-0.07863764464855194,
0.03169920668005943,
0.007374848239123821,
0.0541752465069294,
-0.012099281884729862,
-0.01542047318071127,
0.060426462441682816,
-0.13277514278888702,
0.018895616754889488,
0.10190759599208832,
-0.038644127547740936,
-0.028582608327269554,
-0.018320508301258087,
-0.03942907601594925,
-0.022698216140270233,
0.013536251150071621,
0.009824028238654137,
0.03354509547352791,
-0.011976024135947227,
0.07806374132633209,
0.101084865629673,
-0.003937539178878069,
0.04229988902807236,
0.021679453551769257,
-0.13541778922080994,
-0.014244157820940018,
0.030873801559209824,
0.039149682968854904,
0.00732894754037261,
0.004485173616558313,
0.0004460270865820348,
0.11303594708442688,
-0.005047931801527739,
-0.06122063845396042,
-0.018904678523540497,
-0.009978370741009712,
-0.03739462420344353,
-0.0016907460521906614,
0.05624896287918091,
-0.06519698351621628,
-0.006644382607191801,
0.02539154142141342,
0.027138331905007362,
0.01473007258027792,
-0.014890996739268303,
0.020552948117256165,
0.002216398250311613,
0.07146555185317993,
0.08197582513093948,
-0.0700915977358818,
-0.025712966918945312,
-0.01672179624438286,
-0.01472065132111311,
0.01543386373668909,
0.009034457616508007,
0.02970067597925663,
0.0766686499118805,
-5.401163249985075e-8,
-0.09945133328437805,
-0.023091990500688553,
-0.08277352899312973,
-0.035410743206739426,
0.11853310465812683,
-0.045513350516557693,
-0.019863680005073547,
-0.08348455280065536,
0.007664091419428587,
-0.13871774077415466,
-0.03924649953842163,
-0.05752265080809593,
-0.03864840045571327,
-0.022447414696216583,
0.004587555304169655,
0.00034292248892597854,
-0.015589606948196888,
-0.03537236899137497,
-0.020942185074090958,
-0.0020800482016056776,
-0.048733215779066086,
0.05413011088967323,
0.010907363146543503,
-0.08375278860330582,
0.07205051183700562,
-0.011833086609840393,
0.08971346914768219,
0.008926826529204845,
0.03894100710749626,
0.048244964331388474,
-0.07237900048494339,
-0.01638673059642315,
0.07044314593076706,
0.026196792721748352,
-0.005889620166271925,
-0.05216009169816971,
0.08347645401954651,
0.045351993292570114,
-0.015841085463762283,
-0.015172566287219524,
-0.055129747837781906,
0.07795821875333786,
-0.004598116036504507,
-0.00001743475513649173,
-0.00516843143850565,
0.04581880569458008,
0.06661152094602585,
0.01321487408131361,
-0.03611675277352333,
-0.10907959938049316,
0.04118767008185387,
-0.021927975118160248,
0.014625295996665955,
-0.03407759219408035,
-0.0364549495279789,
-0.05446190387010574,
0.0031650555320084095,
-0.1108173206448555,
0.054541539400815964,
-0.02801971510052681,
-0.04228997975587845,
0.07775990664958954,
0.004962237551808357,
0.007181394845247269
] | null | null | null | null | null | null | null |
[
-0.050761930644512177,
-0.03646444156765938,
0.00291735352948308,
-0.00016905188385862857,
0.09388274699449539,
0.009051852859556675,
-0.03702593967318535,
-0.03407172113656998,
0.04763689637184143,
0.013704887591302395,
-0.07755254209041595,
0.08696899563074112,
0.08405454456806183,
-0.08401704579591751,
-0.00019107619300484657,
-0.059100136160850525,
0.034464046359062195,
0.014077354222536087,
0.05906162038445473,
-0.008400902152061462,
-0.007269102614372969,
0.04170844703912735,
-0.004434608388692141,
0.010668737813830376,
0.15320977568626404,
0.00448274053633213,
0.04843800514936447,
-0.0049158670008182526,
-0.027485663071274757,
-0.004934835713356733,
-0.012845613993704319,
0.06590579450130463,
0.01405674871057272,
-0.04894984886050224,
-0.059666190296411514,
0.009899013675749302,
0.03846517950296402,
0.02153521031141281,
0.05631564185023308,
0.055825892835855484,
-0.001484311418607831,
0.10442628711462021,
-0.010850072838366032,
-0.008802914060652256,
-0.11226461082696915,
-0.02845066599547863,
0.012576166540384293,
-0.055266812443733215,
-0.00970474723726511,
0.017280511558055878,
0.032357554882764816,
0.044771481305360794,
-0.10692664235830307,
0.026211263611912727,
0.039319269359111786,
-0.09567955881357193,
-0.07798704504966736,
-0.01688331551849842,
0.06934253126382828,
0.05928803235292435,
0.07921233028173447,
-0.06719303876161575,
0.0913226380944252,
0.004061541054397821,
-0.031011665239930153,
-0.01506586279720068,
0.060316357761621475,
0.05443188175559044,
-0.015318700112402439,
0.0020291830878704786,
-0.10565321892499924,
0.05679302662611008,
-0.005913471337407827,
0.04505876079201698,
0.05340090021491051,
0.039262499660253525,
-0.03237266093492508,
0.03186429664492607,
0.07372824102640152,
-0.006327781360596418,
0.023888811469078064,
0.08300486952066422,
-0.05798740312457085,
-0.12213464081287384,
0.04143686965107918,
0.12299942225217819,
-0.06580989062786102,
0.03309553861618042,
0.03303925693035126,
-0.045593343675136566,
-0.056051529943943024,
-0.07596072554588318,
-0.11325258016586304,
0.05322089046239853,
0.017101412639021873,
-0.04162614792585373,
0.007251454517245293,
-0.038850586861371994,
-0.006497187539935112,
0.06126086786389351,
0.05643269419670105,
0.034129735082387924,
-0.033910829573869705,
0.013848022557795048,
0.015006434172391891,
-0.08953626453876495,
0.07471378892660141,
0.023816624656319618,
-0.01999950408935547,
-0.001201246283017099,
0.044427674263715744,
0.02181793749332428,
-0.03699139878153801,
0.030758021399378777,
-0.03965060040354729,
-0.030759548768401146,
0.08458949625492096,
0.08415570110082626,
0.04062184318900108,
-0.05865509808063507,
0.009483961388468742,
-0.05469081550836563,
0.05947672948241234,
0.03807911276817322,
0.04684871435165405,
0.07262829691171646,
-0.06672558933496475,
2.352073829867178e-33,
0.022088101133704185,
0.10585304349660873,
0.017959339544177055,
-0.015058244578540325,
-0.022584469988942146,
0.027859630063176155,
-0.0025730873458087444,
0.06901075690984726,
0.1462407261133194,
0.08041024953126907,
-0.023621397092938423,
-0.05162344127893448,
0.0031124919187277555,
-0.06475862115621567,
0.037006501108407974,
0.051694344729185104,
0.06141974404454231,
0.04638946056365967,
-0.006625947076827288,
-0.060932908207178116,
-0.003176148748025298,
-0.009637469425797462,
-0.02476583793759346,
0.013988333754241467,
-0.019276706501841545,
0.02139422297477722,
-0.03368721529841423,
-0.02657819539308548,
-0.022480478510260582,
-0.0059196180664002895,
0.0280588511377573,
0.003726899391040206,
0.024838589131832123,
0.05937850475311279,
0.0389990471303463,
-0.0947742760181427,
-0.007677842862904072,
0.022496668621897697,
-0.021737733855843544,
0.025516362860798836,
0.0293068028986454,
0.04151417315006256,
0.02455075830221176,
-0.019180886447429657,
-0.020155666396021843,
-0.10951678454875946,
-0.020262477919459343,
0.01346546784043312,
0.10546005517244339,
-0.058707498013973236,
-0.06146685779094696,
0.014355715364217758,
-0.005296948831528425,
0.02634294517338276,
0.029426172375679016,
0.001990231219679117,
-0.03293027728796005,
-0.013780456967651844,
0.010332383215427399,
0.0569206140935421,
-0.11470095813274384,
-0.025366919115185738,
0.020852234214544296,
0.001804801868274808,
0.04463592544198036,
-0.006364800501614809,
-0.09399034827947617,
-0.044589150696992874,
-0.026880163699388504,
0.017000138759613037,
0.10566122084856033,
0.03244210034608841,
-0.034115783870220184,
0.007649259176105261,
0.03099091909825802,
-0.025157365947961807,
-0.01837635599076748,
0.014944897033274174,
0.031237920746207237,
-0.029268432408571243,
-0.016476627439260483,
0.033299628645181656,
-0.04602966457605362,
-0.01285459939390421,
0.05521705001592636,
0.0821714773774147,
-0.037593696266412735,
-0.09655474126338959,
0.007103692274540663,
-0.04451724886894226,
-0.05669264495372772,
0.04465074837207794,
-0.08150314539670944,
-0.04559912160038948,
-0.076592817902565,
-1.9259470257895212e-33,
0.024332620203495026,
0.07331738620996475,
0.0398717038333416,
-0.06329739838838577,
-0.03435744345188141,
-0.038420211523771286,
0.020260706543922424,
-0.008782725781202316,
0.011227359063923359,
-0.021084632724523544,
-0.053894806653261185,
-0.025462470948696136,
-0.07807032763957977,
0.08830433338880539,
0.07943550497293472,
0.018508674576878548,
0.0956503301858902,
-0.026369281113147736,
0.009110430255532265,
-0.05577445402741432,
0.048332881182432175,
-0.06813091039657593,
0.05683554708957672,
0.00739856343716383,
-0.033851444721221924,
0.008872037753462791,
-0.05483667179942131,
0.054573822766542435,
-0.01710396818816662,
-0.038584668189287186,
-0.04537045955657959,
-0.0015109938103705645,
-0.021257808431982994,
0.015224332921206951,
0.006411376874893904,
0.017590554431080818,
-0.034175336360931396,
0.02962365373969078,
-0.07863764464855194,
0.03169920668005943,
0.007374848239123821,
0.0541752465069294,
-0.012099281884729862,
-0.01542047318071127,
0.060426462441682816,
-0.13277514278888702,
0.018895616754889488,
0.10190759599208832,
-0.038644127547740936,
-0.028582608327269554,
-0.018320508301258087,
-0.03942907601594925,
-0.022698216140270233,
0.013536251150071621,
0.009824028238654137,
0.03354509547352791,
-0.011976024135947227,
0.07806374132633209,
0.101084865629673,
-0.003937539178878069,
0.04229988902807236,
0.021679453551769257,
-0.13541778922080994,
-0.014244157820940018,
0.030873801559209824,
0.039149682968854904,
0.00732894754037261,
0.004485173616558313,
0.0004460270865820348,
0.11303594708442688,
-0.005047931801527739,
-0.06122063845396042,
-0.018904678523540497,
-0.009978370741009712,
-0.03739462420344353,
-0.0016907460521906614,
0.05624896287918091,
-0.06519698351621628,
-0.006644382607191801,
0.02539154142141342,
0.027138331905007362,
0.01473007258027792,
-0.014890996739268303,
0.020552948117256165,
0.002216398250311613,
0.07146555185317993,
0.08197582513093948,
-0.0700915977358818,
-0.025712966918945312,
-0.01672179624438286,
-0.01472065132111311,
0.01543386373668909,
0.009034457616508007,
0.02970067597925663,
0.0766686499118805,
-5.401163249985075e-8,
-0.09945133328437805,
-0.023091990500688553,
-0.08277352899312973,
-0.035410743206739426,
0.11853310465812683,
-0.045513350516557693,
-0.019863680005073547,
-0.08348455280065536,
0.007664091419428587,
-0.13871774077415466,
-0.03924649953842163,
-0.05752265080809593,
-0.03864840045571327,
-0.022447414696216583,
0.004587555304169655,
0.00034292248892597854,
-0.015589606948196888,
-0.03537236899137497,
-0.020942185074090958,
-0.0020800482016056776,
-0.048733215779066086,
0.05413011088967323,
0.010907363146543503,
-0.08375278860330582,
0.07205051183700562,
-0.011833086609840393,
0.08971346914768219,
0.008926826529204845,
0.03894100710749626,
0.048244964331388474,
-0.07237900048494339,
-0.01638673059642315,
0.07044314593076706,
0.026196792721748352,
-0.005889620166271925,
-0.05216009169816971,
0.08347645401954651,
0.045351993292570114,
-0.015841085463762283,
-0.015172566287219524,
-0.055129747837781906,
0.07795821875333786,
-0.004598116036504507,
-0.00001743475513649173,
-0.00516843143850565,
0.04581880569458008,
0.06661152094602585,
0.01321487408131361,
-0.03611675277352333,
-0.10907959938049316,
0.04118767008185387,
-0.021927975118160248,
0.014625295996665955,
-0.03407759219408035,
-0.0364549495279789,
-0.05446190387010574,
0.0031650555320084095,
-0.1108173206448555,
0.054541539400815964,
-0.02801971510052681,
-0.04228997975587845,
0.07775990664958954,
0.004962237551808357,
0.007181394845247269
] |
1402.2940
|
Laurent Mugnier
|
Nicolas V\'edrenne, Laurent M. Mugnier, Vincent Michau,
Marie-Th\'er\`ese Velluet and Rudolph Bierent
|
Laser beam complex amplitude measurement by phase diversity
|
Accepted for publication in Optics Express
| null |
10.1364/OE.22.004575
| null |
physics.optics physics.ins-det
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The control of the optical quality of a laser beam requires a complex
amplitude measurement able to deal with strong modulus variations and
potentially highly perturbed wavefronts. The method proposed here consists in
an extension of phase diversity to complex amplitude measurements that is
effective for highly perturbed beams. Named CAMELOT for Complex Amplitude
MEasurement by a Likelihood Optimization Tool, it relies on the acquisition and
processing of few images of the beam section taken along the optical path. The
complex amplitude of the beam is retrieved from the images by the minimization
of a Maximum a Posteriori error metric between the images and a model of the
beam propagation. The analytical formalism of the method and its experimental
validation are presented. The modulus of the beam is compared to a measurement
of the beam profile, the phase of the beam is compared to a conventional phase
diversity estimate. The precision of the experimental measurements is
investigated by numerical simulations.
|
[
{
"created": "Tue, 11 Feb 2014 18:03:01 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2014 10:47:01 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Védrenne",
"Nicolas",
""
],
[
"Mugnier",
"Laurent M.",
""
],
[
"Michau",
"Vincent",
""
],
[
"Velluet",
"Marie-Thérèse",
""
],
[
"Bierent",
"Rudolph",
""
]
] |
[
0.03836642950773239,
-0.030082499608397484,
-0.007074553519487381,
-0.026006139814853668,
-0.08555430918931961,
-0.08948198705911636,
0.021855169907212257,
-0.04102613404393196,
-0.01754470355808735,
-0.0707891434431076,
-0.031024323776364326,
0.015635071322321892,
0.0365925207734108,
-0.04930981248617172,
-0.060339152812957764,
0.011018997058272362,
0.05933278053998947,
0.07763919979333878,
-0.03164256364107132,
-0.012131225317716599,
0.08494821190834045,
-0.029300784692168236,
-0.048825740814208984,
-0.013338699005544186,
-0.022834429517388344,
0.01641320064663887,
-0.005264167673885822,
-0.029409607872366905,
0.049671925604343414,
0.018071528524160385,
0.027473686262965202,
-0.02874891459941864,
-0.05000503733754158,
-0.008308910764753819,
0.025196315720677376,
-0.03855012357234955,
0.04460689797997475,
-0.08218661695718765,
0.05067519098520279,
-0.01329214870929718,
0.07675306499004364,
0.0735105499625206,
0.015347277745604515,
0.056153371930122375,
0.008585642091929913,
0.04315360262989998,
0.005490920040756464,
-0.1536167562007904,
-0.03544441983103752,
-0.011201292276382446,
0.01696931943297386,
0.031272146850824356,
-0.03279635310173035,
-0.07231520861387253,
-0.00908153597265482,
0.029349636286497116,
0.011116065084934235,
0.009340064600110054,
0.056603457778692245,
0.04367001727223396,
0.0028770023491233587,
0.02647191844880581,
-0.03857915475964546,
-0.05218176916241646,
0.09268590062856674,
-0.017113354057073593,
0.0175086110830307,
0.02277916669845581,
0.0037640228401869535,
0.00713895820081234,
-0.013955047354102135,
0.01160405483096838,
0.0632018968462944,
0.04016375541687012,
-0.032101940363645554,
0.03970068320631981,
-0.010914315469563007,
0.048980772495269775,
-0.055733468383550644,
0.06326145678758621,
0.04118712991476059,
-0.016792282462120056,
-0.00544831994920969,
0.017622768878936768,
-0.03752363473176956,
-0.012271913699805737,
-0.02830914407968521,
0.011488832533359528,
0.04328165575861931,
0.0011609724024310708,
-0.10356906056404114,
-0.047217778861522675,
-0.09755725413560867,
-0.02975260093808174,
0.019837476313114166,
-0.06203699856996536,
0.02604277990758419,
-0.08825728297233582,
0.03623417392373085,
0.0460117869079113,
0.07806862890720367,
-0.016886930912733078,
0.06055694818496704,
0.0030449905898422003,
-0.08839304000139236,
0.029775258153676987,
0.010233630426228046,
0.14472030103206635,
-0.031927116215229034,
0.0448261983692646,
-0.002774558961391449,
-0.009565749205648899,
0.036721691489219666,
-0.0857083797454834,
0.09009119123220444,
0.015114150941371918,
-0.04872312396764755,
0.09281280636787415,
0.023848583921790123,
-0.05712031573057175,
-0.022599507123231888,
-0.07880888134241104,
0.09696857631206512,
0.03981722146272659,
0.036707889288663864,
0.02303646318614483,
-0.038591839373111725,
-1.7547047280993248e-34,
-0.007306673564016819,
0.062480486929416656,
-0.03776939585804939,
0.019198104739189148,
-0.07026256620883942,
0.052888862788677216,
0.06099352985620499,
0.014096123166382313,
-0.010427235625684261,
0.005776091944426298,
0.04657888039946556,
0.012741655111312866,
-0.08553660660982132,
-0.053895555436611176,
0.07845544815063477,
-0.01394025981426239,
0.06407307088375092,
0.05928871035575867,
-0.01100877020508051,
0.08960020542144775,
0.10568468272686005,
0.01579437032341957,
-0.014260753057897091,
-0.03663061186671257,
-0.04571373388171196,
0.03679099678993225,
0.05573422089219093,
0.038448482751846313,
-0.11972357332706451,
0.0231121014803648,
0.06514782458543777,
0.043759312480688095,
0.026316845789551735,
-0.053539492189884186,
0.06445048004388809,
-0.025702228769659996,
0.02314145117998123,
0.08547515422105789,
-0.058590710163116455,
0.010947080329060555,
0.009795457124710083,
0.007666755933314562,
0.08450637757778168,
0.03308824449777603,
0.04608627036213875,
-0.029400592669844627,
-0.0853554755449295,
0.05702044442296028,
0.003954143263399601,
-0.04049037769436836,
-0.057570748031139374,
-0.10126686096191406,
0.012777887284755707,
0.06155950576066971,
0.05023972690105438,
0.0364878848195076,
0.010286987759172916,
0.009126180782914162,
0.006017908453941345,
-0.06965212523937225,
0.03659854456782341,
-0.09117700159549713,
0.02782003954052925,
-0.054439593106508255,
0.008480573073029518,
0.042282383888959885,
-0.10344183444976807,
-0.0343833789229393,
-0.0379081629216671,
0.01390861626714468,
0.007427719887346029,
0.016357090324163437,
0.04706750810146332,
-0.03307848423719406,
0.129398912191391,
0.002268462674692273,
0.0325721874833107,
0.18572817742824554,
0.009997617453336716,
0.007127971388399601,
-0.08071332424879074,
0.044429145753383636,
-0.003249023575335741,
-0.017028281465172768,
0.04197080060839653,
0.050359297543764114,
-0.020020799711346626,
0.0554390624165535,
-0.19100421667099,
-0.039786938577890396,
0.004509441088885069,
0.036862894892692566,
-0.0332292877137661,
0.036370422691106796,
-0.015431846491992474,
-1.0467966375194556e-33,
0.0062974365428090096,
0.01017569750547409,
0.004831603728234768,
-0.004144896287471056,
-0.006674384698271751,
0.01548768114298582,
0.04251061752438545,
0.03309206664562225,
-0.058091238141059875,
0.009620657190680504,
-0.010488688945770264,
-0.007048293948173523,
-0.07734020799398422,
0.02551182359457016,
-0.07359237223863602,
0.04459546506404877,
-0.0034890244714915752,
-0.02256840281188488,
0.037961509078741074,
-0.02397477626800537,
0.04112504795193672,
0.00207051751203835,
0.060634031891822815,
0.05285279452800751,
0.06633074581623077,
-0.019917111843824387,
0.05314762145280838,
-0.038498084992170334,
-0.002345075597986579,
-0.03441515937447548,
0.044036343693733215,
0.0177551731467247,
0.02618131786584854,
0.02112538553774357,
-0.08357439190149307,
0.017329171299934387,
0.028936471790075302,
-0.06487452238798141,
-0.011757215484976768,
-0.060264527797698975,
-0.007083655335009098,
0.06934128701686859,
-0.01392537634819746,
-0.07359499484300613,
-0.01752421073615551,
-0.025599263608455658,
0.07559918612241745,
-0.03744136169552803,
0.03822612762451172,
-0.011458951979875565,
-0.04196389764547348,
-0.02149512991309166,
0.016055138781666756,
0.016345955431461334,
0.011157628148794174,
-0.04449468106031418,
-0.02198624238371849,
-0.015968607738614082,
-0.0017808988923206925,
0.06108233705163002,
-0.0790930837392807,
-0.030695362016558647,
-0.007268337998539209,
0.04514631628990173,
-0.026568923145532608,
0.06688123941421509,
0.010800345800817013,
-0.011433725245296955,
-0.002045914065092802,
0.01298961229622364,
-0.009216021746397018,
-0.026990575715899467,
0.0633552223443985,
0.036355577409267426,
0.06805280596017838,
-0.03907197341322899,
0.028356127440929413,
0.019117124378681183,
-0.023935625329613686,
0.019968867301940918,
0.010014567524194717,
-0.056791599839925766,
-0.05366672948002815,
0.04499943554401398,
0.010165167041122913,
-0.0060806176625192165,
-0.043152421712875366,
0.01011596992611885,
-0.04015687108039856,
-0.03248228505253792,
0.03552107885479927,
0.015301331877708435,
-0.011142855510115623,
-0.16725954413414001,
0.07648369669914246,
-4.563630184861722e-8,
0.0010439318139106035,
-0.017002616077661514,
-0.053711459040641785,
-0.049708399921655655,
-0.003643119940534234,
-0.006090865936130285,
-0.12181127071380615,
-0.009517689235508442,
-0.005367019679397345,
-0.11626002937555313,
0.022891709581017494,
-0.10357150435447693,
-0.07591792941093445,
0.020115088671445847,
-0.026590954512357712,
0.031325362622737885,
0.07966702431440353,
-0.038678593933582306,
0.02369985356926918,
0.09604091942310333,
-0.061221133917570114,
-0.052320756018161774,
0.048424769192934036,
-0.003946081735193729,
-0.07209624350070953,
-0.03973075747489929,
-0.04076997935771942,
0.010543359443545341,
-0.008906793780624866,
0.04515682905912399,
0.03223484382033348,
-0.027366410940885544,
-0.07975257933139801,
0.0680631771683693,
-0.12026558816432953,
0.03530432656407356,
-0.01137614157050848,
0.018406378105282784,
-0.034598834812641144,
0.010045715607702732,
-0.005356470122933388,
0.011273625306785107,
-0.011148466728627682,
0.050468940287828445,
0.09939855337142944,
0.18170402944087982,
0.059697747230529785,
-0.035131894052028656,
-0.06547781080007553,
-0.04502466320991516,
0.013330941088497639,
0.0960870087146759,
-0.06305138021707535,
-0.054357800632715225,
-0.031204605475068092,
-0.000026286581487511285,
0.08548258990049362,
-0.04776348918676376,
0.040620170533657074,
0.019302034750580788,
0.07437947392463684,
0.021919777616858482,
-0.03226931393146515,
-0.03974848613142967
] | null | null | null | null | null | null | null |
[
0.03836642950773239,
-0.030082499608397484,
-0.007074553519487381,
-0.026006139814853668,
-0.08555430918931961,
-0.08948198705911636,
0.021855169907212257,
-0.04102613404393196,
-0.01754470355808735,
-0.0707891434431076,
-0.031024323776364326,
0.015635071322321892,
0.0365925207734108,
-0.04930981248617172,
-0.060339152812957764,
0.011018997058272362,
0.05933278053998947,
0.07763919979333878,
-0.03164256364107132,
-0.012131225317716599,
0.08494821190834045,
-0.029300784692168236,
-0.048825740814208984,
-0.013338699005544186,
-0.022834429517388344,
0.01641320064663887,
-0.005264167673885822,
-0.029409607872366905,
0.049671925604343414,
0.018071528524160385,
0.027473686262965202,
-0.02874891459941864,
-0.05000503733754158,
-0.008308910764753819,
0.025196315720677376,
-0.03855012357234955,
0.04460689797997475,
-0.08218661695718765,
0.05067519098520279,
-0.01329214870929718,
0.07675306499004364,
0.0735105499625206,
0.015347277745604515,
0.056153371930122375,
0.008585642091929913,
0.04315360262989998,
0.005490920040756464,
-0.1536167562007904,
-0.03544441983103752,
-0.011201292276382446,
0.01696931943297386,
0.031272146850824356,
-0.03279635310173035,
-0.07231520861387253,
-0.00908153597265482,
0.029349636286497116,
0.011116065084934235,
0.009340064600110054,
0.056603457778692245,
0.04367001727223396,
0.0028770023491233587,
0.02647191844880581,
-0.03857915475964546,
-0.05218176916241646,
0.09268590062856674,
-0.017113354057073593,
0.0175086110830307,
0.02277916669845581,
0.0037640228401869535,
0.00713895820081234,
-0.013955047354102135,
0.01160405483096838,
0.0632018968462944,
0.04016375541687012,
-0.032101940363645554,
0.03970068320631981,
-0.010914315469563007,
0.048980772495269775,
-0.055733468383550644,
0.06326145678758621,
0.04118712991476059,
-0.016792282462120056,
-0.00544831994920969,
0.017622768878936768,
-0.03752363473176956,
-0.012271913699805737,
-0.02830914407968521,
0.011488832533359528,
0.04328165575861931,
0.0011609724024310708,
-0.10356906056404114,
-0.047217778861522675,
-0.09755725413560867,
-0.02975260093808174,
0.019837476313114166,
-0.06203699856996536,
0.02604277990758419,
-0.08825728297233582,
0.03623417392373085,
0.0460117869079113,
0.07806862890720367,
-0.016886930912733078,
0.06055694818496704,
0.0030449905898422003,
-0.08839304000139236,
0.029775258153676987,
0.010233630426228046,
0.14472030103206635,
-0.031927116215229034,
0.0448261983692646,
-0.002774558961391449,
-0.009565749205648899,
0.036721691489219666,
-0.0857083797454834,
0.09009119123220444,
0.015114150941371918,
-0.04872312396764755,
0.09281280636787415,
0.023848583921790123,
-0.05712031573057175,
-0.022599507123231888,
-0.07880888134241104,
0.09696857631206512,
0.03981722146272659,
0.036707889288663864,
0.02303646318614483,
-0.038591839373111725,
-1.7547047280993248e-34,
-0.007306673564016819,
0.062480486929416656,
-0.03776939585804939,
0.019198104739189148,
-0.07026256620883942,
0.052888862788677216,
0.06099352985620499,
0.014096123166382313,
-0.010427235625684261,
0.005776091944426298,
0.04657888039946556,
0.012741655111312866,
-0.08553660660982132,
-0.053895555436611176,
0.07845544815063477,
-0.01394025981426239,
0.06407307088375092,
0.05928871035575867,
-0.01100877020508051,
0.08960020542144775,
0.10568468272686005,
0.01579437032341957,
-0.014260753057897091,
-0.03663061186671257,
-0.04571373388171196,
0.03679099678993225,
0.05573422089219093,
0.038448482751846313,
-0.11972357332706451,
0.0231121014803648,
0.06514782458543777,
0.043759312480688095,
0.026316845789551735,
-0.053539492189884186,
0.06445048004388809,
-0.025702228769659996,
0.02314145117998123,
0.08547515422105789,
-0.058590710163116455,
0.010947080329060555,
0.009795457124710083,
0.007666755933314562,
0.08450637757778168,
0.03308824449777603,
0.04608627036213875,
-0.029400592669844627,
-0.0853554755449295,
0.05702044442296028,
0.003954143263399601,
-0.04049037769436836,
-0.057570748031139374,
-0.10126686096191406,
0.012777887284755707,
0.06155950576066971,
0.05023972690105438,
0.0364878848195076,
0.010286987759172916,
0.009126180782914162,
0.006017908453941345,
-0.06965212523937225,
0.03659854456782341,
-0.09117700159549713,
0.02782003954052925,
-0.054439593106508255,
0.008480573073029518,
0.042282383888959885,
-0.10344183444976807,
-0.0343833789229393,
-0.0379081629216671,
0.01390861626714468,
0.007427719887346029,
0.016357090324163437,
0.04706750810146332,
-0.03307848423719406,
0.129398912191391,
0.002268462674692273,
0.0325721874833107,
0.18572817742824554,
0.009997617453336716,
0.007127971388399601,
-0.08071332424879074,
0.044429145753383636,
-0.003249023575335741,
-0.017028281465172768,
0.04197080060839653,
0.050359297543764114,
-0.020020799711346626,
0.0554390624165535,
-0.19100421667099,
-0.039786938577890396,
0.004509441088885069,
0.036862894892692566,
-0.0332292877137661,
0.036370422691106796,
-0.015431846491992474,
-1.0467966375194556e-33,
0.0062974365428090096,
0.01017569750547409,
0.004831603728234768,
-0.004144896287471056,
-0.006674384698271751,
0.01548768114298582,
0.04251061752438545,
0.03309206664562225,
-0.058091238141059875,
0.009620657190680504,
-0.010488688945770264,
-0.007048293948173523,
-0.07734020799398422,
0.02551182359457016,
-0.07359237223863602,
0.04459546506404877,
-0.0034890244714915752,
-0.02256840281188488,
0.037961509078741074,
-0.02397477626800537,
0.04112504795193672,
0.00207051751203835,
0.060634031891822815,
0.05285279452800751,
0.06633074581623077,
-0.019917111843824387,
0.05314762145280838,
-0.038498084992170334,
-0.002345075597986579,
-0.03441515937447548,
0.044036343693733215,
0.0177551731467247,
0.02618131786584854,
0.02112538553774357,
-0.08357439190149307,
0.017329171299934387,
0.028936471790075302,
-0.06487452238798141,
-0.011757215484976768,
-0.060264527797698975,
-0.007083655335009098,
0.06934128701686859,
-0.01392537634819746,
-0.07359499484300613,
-0.01752421073615551,
-0.025599263608455658,
0.07559918612241745,
-0.03744136169552803,
0.03822612762451172,
-0.011458951979875565,
-0.04196389764547348,
-0.02149512991309166,
0.016055138781666756,
0.016345955431461334,
0.011157628148794174,
-0.04449468106031418,
-0.02198624238371849,
-0.015968607738614082,
-0.0017808988923206925,
0.06108233705163002,
-0.0790930837392807,
-0.030695362016558647,
-0.007268337998539209,
0.04514631628990173,
-0.026568923145532608,
0.06688123941421509,
0.010800345800817013,
-0.011433725245296955,
-0.002045914065092802,
0.01298961229622364,
-0.009216021746397018,
-0.026990575715899467,
0.0633552223443985,
0.036355577409267426,
0.06805280596017838,
-0.03907197341322899,
0.028356127440929413,
0.019117124378681183,
-0.023935625329613686,
0.019968867301940918,
0.010014567524194717,
-0.056791599839925766,
-0.05366672948002815,
0.04499943554401398,
0.010165167041122913,
-0.0060806176625192165,
-0.043152421712875366,
0.01011596992611885,
-0.04015687108039856,
-0.03248228505253792,
0.03552107885479927,
0.015301331877708435,
-0.011142855510115623,
-0.16725954413414001,
0.07648369669914246,
-4.563630184861722e-8,
0.0010439318139106035,
-0.017002616077661514,
-0.053711459040641785,
-0.049708399921655655,
-0.003643119940534234,
-0.006090865936130285,
-0.12181127071380615,
-0.009517689235508442,
-0.005367019679397345,
-0.11626002937555313,
0.022891709581017494,
-0.10357150435447693,
-0.07591792941093445,
0.020115088671445847,
-0.026590954512357712,
0.031325362622737885,
0.07966702431440353,
-0.038678593933582306,
0.02369985356926918,
0.09604091942310333,
-0.061221133917570114,
-0.052320756018161774,
0.048424769192934036,
-0.003946081735193729,
-0.07209624350070953,
-0.03973075747489929,
-0.04076997935771942,
0.010543359443545341,
-0.008906793780624866,
0.04515682905912399,
0.03223484382033348,
-0.027366410940885544,
-0.07975257933139801,
0.0680631771683693,
-0.12026558816432953,
0.03530432656407356,
-0.01137614157050848,
0.018406378105282784,
-0.034598834812641144,
0.010045715607702732,
-0.005356470122933388,
0.011273625306785107,
-0.011148466728627682,
0.050468940287828445,
0.09939855337142944,
0.18170402944087982,
0.059697747230529785,
-0.035131894052028656,
-0.06547781080007553,
-0.04502466320991516,
0.013330941088497639,
0.0960870087146759,
-0.06305138021707535,
-0.054357800632715225,
-0.031204605475068092,
-0.000026286581487511285,
0.08548258990049362,
-0.04776348918676376,
0.040620170533657074,
0.019302034750580788,
0.07437947392463684,
0.021919777616858482,
-0.03226931393146515,
-0.03974848613142967
] |
1402.2941
|
Zohaib Khan
|
Zohaib Khan, Faisal Shafait, Yiqun Hu, Ajmal Mian
|
Multispectral Palmprint Encoding and Recognition
|
Preliminary version of this manuscript was published in ICCV 2011. Z.
Khan A. Mian and Y. Hu, "Contour Code: Robust and Efficient Multispectral
Palmprint Encoding for Human Recognition", International Conference on
Computer Vision, 2011. MATLAB Code available:
https://sites.google.com/site/zohaibnet/Home/codes
| null | null | null |
cs.CV
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
Palmprints are emerging as a new entity in multi-modal biometrics for human
identification and verification. Multispectral palmprint images captured in the
visible and infrared spectrum not only contain the wrinkles and ridge structure
of a palm, but also the underlying pattern of veins; making them a highly
discriminating biometric identifier. In this paper, we propose a feature
encoding scheme for robust and highly accurate representation and matching of
multispectral palmprints. To facilitate compact storage of the feature, we
design a binary hash table structure that allows for efficient matching in
large databases. Comprehensive experiments for both identification and
verification scenarios are performed on two public datasets -- one captured
with a contact-based sensor (PolyU dataset), and the other with a contact-free
sensor (CASIA dataset). Recognition results in various experimental setups show
that the proposed method consistently outperforms existing state-of-the-art
methods. Error rates achieved by our method (0.003% on PolyU and 0.2% on CASIA)
are the lowest reported in literature on both dataset and clearly indicate the
viability of palmprint as a reliable and promising biometric. All source codes
are publicly available.
|
[
{
"created": "Thu, 6 Feb 2014 06:35:51 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Khan",
"Zohaib",
""
],
[
"Shafait",
"Faisal",
""
],
[
"Hu",
"Yiqun",
""
],
[
"Mian",
"Ajmal",
""
]
] |
[
-0.11864155530929565,
-0.01118461973965168,
-0.011745965108275414,
-0.047882113605737686,
0.08257287740707397,
-0.054541729390621185,
0.018373969942331314,
-0.05074438825249672,
-0.04230261221528053,
-0.05527935177087784,
0.04492102935910225,
-0.007438470143824816,
0.028875363990664482,
-0.014412974007427692,
-0.008505229838192463,
-0.0030927222687751055,
-0.009824815206229687,
0.046963922679424286,
-0.020879577845335007,
0.054742857813835144,
-0.0021446438040584326,
0.015801331028342247,
0.08285573124885559,
-0.0577114000916481,
-0.01837168075144291,
-0.019791927188634872,
0.05437757074832916,
-0.016573460772633553,
-0.04615110158920288,
-0.025813845917582512,
0.03776610270142555,
0.1401977837085724,
0.0022032693959772587,
0.019049135968089104,
-0.013044745661318302,
0.028127776458859444,
0.033950477838516235,
0.062324173748493195,
-0.08492039144039154,
-0.08167470991611481,
-0.021779246628284454,
-0.07813680171966553,
-0.022999649867415428,
0.0938815325498581,
-0.02174464613199234,
0.08782897144556046,
-0.009253867901861668,
0.08508654683828354,
0.04994642734527588,
-0.009407770819962025,
-0.025306370109319687,
0.0070073045790195465,
0.020136745646595955,
0.027855563908815384,
-0.036585427820682526,
-0.011445646174252033,
0.015811996534466743,
-0.04659811407327652,
0.024667538702487946,
0.07872527092695236,
0.049928393214941025,
0.005376282148063183,
-0.026180753484368324,
0.025225680321455002,
0.020763767883181572,
0.01682966575026512,
0.031777799129486084,
-0.08210154622793198,
0.022917237132787704,
-0.13191749155521393,
-0.03590887784957886,
0.03551478683948517,
-0.014961025677621365,
0.058761849999427795,
-0.013706210069358349,
0.0010275293607264757,
0.005549858324229717,
-0.0040236953645944595,
0.03777586296200752,
0.012022404931485653,
-0.06996838748455048,
-0.006763930898159742,
0.03447799012064934,
0.024553494527935982,
0.08187450468540192,
-0.01704794354736805,
-0.0718875303864479,
0.00020405251416377723,
-0.09078240394592285,
-0.03792349621653557,
-0.029356472194194794,
-0.004454440902918577,
0.00493288179859519,
-0.08934132754802704,
-0.03226618841290474,
0.03681016340851784,
0.09956994652748108,
-0.030629510059952736,
-0.019971465691924095,
0.05898115783929825,
-0.10785362124443054,
0.008352051489055157,
-0.07089748233556747,
0.0006510012899525464,
0.06990072131156921,
-0.022139757871627808,
-0.013827359303832054,
-0.06834462285041809,
0.10880380123853683,
0.022911276668310165,
0.08682335913181305,
-0.03775125741958618,
-0.10762672871351242,
-0.00018540685414336622,
-0.060456257313489914,
-0.02858544886112213,
-0.005026165395975113,
0.06645336002111435,
0.031230906024575233,
-0.014561550691723824,
-0.061830345541238785,
-0.01858951896429062,
-0.019425632432103157,
-0.06001148000359535,
-0.009935842826962471,
-0.04405343532562256,
-0.026815423741936684,
2.8117444672715023e-33,
0.039314597845077515,
0.10616903752088547,
0.032806720584630966,
-0.06141354516148567,
-0.01661239005625248,
-0.06743058562278748,
-0.10655055195093155,
0.0018592705018818378,
-0.02319706603884697,
0.08711183071136475,
-0.007292190100997686,
0.011984559707343578,
-0.020614199340343475,
0.10981366783380508,
0.02974981628358364,
0.09616698324680328,
0.0022526464890688658,
0.028397588059306145,
-0.031632792204618454,
0.005428612232208252,
-0.0016870396211743355,
-0.08282972872257233,
0.06807050853967667,
0.028864894062280655,
0.059449050575494766,
0.04345638304948807,
0.01037538331001997,
0.024549877271056175,
0.10618454217910767,
0.005174790974706411,
0.010039376094937325,
-0.014694360084831715,
0.03493857756257057,
0.01759331300854683,
0.06290538609027863,
-0.003622836899012327,
0.018368875607848167,
-0.08057261258363724,
-0.008175394497811794,
0.06227428466081619,
0.045369502156972885,
0.04076698422431946,
0.049617595970630646,
-0.03680473566055298,
-0.0488821379840374,
-0.0018026491161435843,
0.0626688152551651,
0.0017421914963051677,
-0.03421569988131523,
0.028359033167362213,
-0.03635598346590996,
0.0376378558576107,
-0.06256572902202606,
0.006211445666849613,
-0.11879181116819382,
-0.10896588861942291,
-0.03164500743150711,
-0.04232283681631088,
-0.00385484891012311,
0.020942695438861847,
-0.060191769152879715,
-0.004838686436414719,
0.024063952267169952,
0.03647302836179733,
-0.0017186073819175363,
-0.09366273134946823,
-0.009036116302013397,
0.02035597898066044,
0.018089957535266876,
0.05083756521344185,
0.0026638961862772703,
0.05963381379842758,
-0.005322032608091831,
-0.023213835433125496,
-0.024860776960849762,
0.014615805819630623,
0.09061813354492188,
0.030396148562431335,
-0.07300595194101334,
0.03667381778359413,
0.01671716757118702,
0.1142110824584961,
-0.00004354377233539708,
-0.03806343302130699,
0.0014952601632103324,
0.024210594594478607,
-0.01947510987520218,
-0.09616812318563461,
-0.06751299649477005,
-0.01960374414920807,
-0.0716002881526947,
0.07746891677379608,
-0.0284205824136734,
-0.022872986271977425,
-0.0024361801333725452,
-3.3616930708189785e-33,
0.004179039504379034,
0.016509810462594032,
0.06560268998146057,
-0.02715163305401802,
0.021328158676624298,
-0.09542234241962433,
0.09438992291688919,
0.05935556814074516,
-0.05542675778269768,
-0.04595186561346054,
0.021167226135730743,
-0.020376047119498253,
0.05056372284889221,
-0.05340699851512909,
0.0009609138942323625,
0.06762197613716125,
-0.04857715591788292,
0.06526994705200195,
-0.007362397387623787,
0.0012032246449962258,
0.01535876002162695,
0.03928760811686516,
-0.03595442324876785,
0.03610282763838768,
-0.09426752477884293,
-0.012214789167046547,
-0.0480516254901886,
-0.08326393365859985,
-0.018562575802206993,
0.01981331594288349,
-0.00212867627851665,
-0.008034737780690193,
-0.03879128023982048,
-0.03157950937747955,
-0.03510308638215065,
-0.06218218430876732,
-0.055577732622623444,
0.05630343407392502,
0.042806126177310944,
0.10005928575992584,
0.04979998990893364,
0.035999201238155365,
-0.07267198711633682,
-0.03460346907377243,
-0.013156894594430923,
-0.13137948513031006,
-0.027445731684565544,
0.024172810837626457,
0.015608789399266243,
0.027525441721081734,
0.0679893046617508,
-0.011048872955143452,
-0.05716870725154877,
0.015646912157535553,
0.050551481544971466,
-0.01435016468167305,
-0.015414632856845856,
0.04096951335668564,
0.029476050287485123,
0.05696345120668411,
-0.034921180456876755,
0.009966792538762093,
0.025401748716831207,
0.0530976876616478,
0.11629648506641388,
0.07098954170942307,
0.08252474665641785,
0.019778404384851456,
-0.05540285259485245,
0.050342582166194916,
-0.004284062422811985,
-0.04609379544854164,
0.018355099484324455,
0.05688585713505745,
0.030474085360765457,
0.00029429153073579073,
-0.029157526791095734,
-0.04552135616540909,
-0.03331148251891136,
0.0543372705578804,
-0.001351434038951993,
-0.058799803256988525,
-0.005448469892144203,
0.12625929713249207,
0.13286572694778442,
0.09249117970466614,
0.01931959018111229,
-0.03624139353632927,
-0.02962961234152317,
0.044720008969306946,
-0.01364556048065424,
0.12341466546058655,
-0.025160619989037514,
0.013575898483395576,
0.019745061174035072,
-4.477178805473159e-8,
0.0088739525526762,
0.05437517911195755,
0.01370396837592125,
-0.07955589890480042,
-0.04572417959570885,
0.027768108993768692,
0.06916435807943344,
-0.007886852137744427,
-0.026121731847524643,
-0.06622743606567383,
0.011289882473647594,
-0.022614601999521255,
-0.050696443766355515,
0.006871863733977079,
0.07509420812129974,
0.03076464869081974,
0.01596659980714321,
-0.01768350973725319,
-0.0598657950758934,
-0.011776280589401722,
-0.01527651958167553,
0.005508132744580507,
0.020701199769973755,
0.006189060863107443,
-0.008388642221689224,
-0.04106704890727997,
-0.03455671668052673,
0.036041319370269775,
0.019100455567240715,
0.0073172529228031635,
-0.0454929918050766,
-0.013514566235244274,
0.07485438138246536,
-0.05887942016124725,
0.03907056525349617,
-0.028101254254579544,
-0.024602487683296204,
-0.0376691035926342,
-0.02646842785179615,
-0.0054018800146877766,
0.025897938758134842,
0.036235515028238297,
-0.11898131668567657,
-0.005922127515077591,
0.04617798328399658,
-0.010679483413696289,
0.12890318036079407,
0.010596741922199726,
-0.06397070735692978,
0.10373018682003021,
-0.014326196163892746,
-0.054461948573589325,
0.07229459285736084,
0.04945491999387741,
-0.014486964792013168,
0.0003475118428468704,
-0.0032667010091245174,
-0.03441334143280983,
0.15281791985034943,
0.02682877518236637,
0.05074160173535347,
-0.10423043370246887,
-0.10525951534509659,
-0.019977785646915436
] | null | null | null | null | null | null | null |
[
-0.11864155530929565,
-0.01118461973965168,
-0.011745965108275414,
-0.047882113605737686,
0.08257287740707397,
-0.054541729390621185,
0.018373969942331314,
-0.05074438825249672,
-0.04230261221528053,
-0.05527935177087784,
0.04492102935910225,
-0.007438470143824816,
0.028875363990664482,
-0.014412974007427692,
-0.008505229838192463,
-0.0030927222687751055,
-0.009824815206229687,
0.046963922679424286,
-0.020879577845335007,
0.054742857813835144,
-0.0021446438040584326,
0.015801331028342247,
0.08285573124885559,
-0.0577114000916481,
-0.01837168075144291,
-0.019791927188634872,
0.05437757074832916,
-0.016573460772633553,
-0.04615110158920288,
-0.025813845917582512,
0.03776610270142555,
0.1401977837085724,
0.0022032693959772587,
0.019049135968089104,
-0.013044745661318302,
0.028127776458859444,
0.033950477838516235,
0.062324173748493195,
-0.08492039144039154,
-0.08167470991611481,
-0.021779246628284454,
-0.07813680171966553,
-0.022999649867415428,
0.0938815325498581,
-0.02174464613199234,
0.08782897144556046,
-0.009253867901861668,
0.08508654683828354,
0.04994642734527588,
-0.009407770819962025,
-0.025306370109319687,
0.0070073045790195465,
0.020136745646595955,
0.027855563908815384,
-0.036585427820682526,
-0.011445646174252033,
0.015811996534466743,
-0.04659811407327652,
0.024667538702487946,
0.07872527092695236,
0.049928393214941025,
0.005376282148063183,
-0.026180753484368324,
0.025225680321455002,
0.020763767883181572,
0.01682966575026512,
0.031777799129486084,
-0.08210154622793198,
0.022917237132787704,
-0.13191749155521393,
-0.03590887784957886,
0.03551478683948517,
-0.014961025677621365,
0.058761849999427795,
-0.013706210069358349,
0.0010275293607264757,
0.005549858324229717,
-0.0040236953645944595,
0.03777586296200752,
0.012022404931485653,
-0.06996838748455048,
-0.006763930898159742,
0.03447799012064934,
0.024553494527935982,
0.08187450468540192,
-0.01704794354736805,
-0.0718875303864479,
0.00020405251416377723,
-0.09078240394592285,
-0.03792349621653557,
-0.029356472194194794,
-0.004454440902918577,
0.00493288179859519,
-0.08934132754802704,
-0.03226618841290474,
0.03681016340851784,
0.09956994652748108,
-0.030629510059952736,
-0.019971465691924095,
0.05898115783929825,
-0.10785362124443054,
0.008352051489055157,
-0.07089748233556747,
0.0006510012899525464,
0.06990072131156921,
-0.022139757871627808,
-0.013827359303832054,
-0.06834462285041809,
0.10880380123853683,
0.022911276668310165,
0.08682335913181305,
-0.03775125741958618,
-0.10762672871351242,
-0.00018540685414336622,
-0.060456257313489914,
-0.02858544886112213,
-0.005026165395975113,
0.06645336002111435,
0.031230906024575233,
-0.014561550691723824,
-0.061830345541238785,
-0.01858951896429062,
-0.019425632432103157,
-0.06001148000359535,
-0.009935842826962471,
-0.04405343532562256,
-0.026815423741936684,
2.8117444672715023e-33,
0.039314597845077515,
0.10616903752088547,
0.032806720584630966,
-0.06141354516148567,
-0.01661239005625248,
-0.06743058562278748,
-0.10655055195093155,
0.0018592705018818378,
-0.02319706603884697,
0.08711183071136475,
-0.007292190100997686,
0.011984559707343578,
-0.020614199340343475,
0.10981366783380508,
0.02974981628358364,
0.09616698324680328,
0.0022526464890688658,
0.028397588059306145,
-0.031632792204618454,
0.005428612232208252,
-0.0016870396211743355,
-0.08282972872257233,
0.06807050853967667,
0.028864894062280655,
0.059449050575494766,
0.04345638304948807,
0.01037538331001997,
0.024549877271056175,
0.10618454217910767,
0.005174790974706411,
0.010039376094937325,
-0.014694360084831715,
0.03493857756257057,
0.01759331300854683,
0.06290538609027863,
-0.003622836899012327,
0.018368875607848167,
-0.08057261258363724,
-0.008175394497811794,
0.06227428466081619,
0.045369502156972885,
0.04076698422431946,
0.049617595970630646,
-0.03680473566055298,
-0.0488821379840374,
-0.0018026491161435843,
0.0626688152551651,
0.0017421914963051677,
-0.03421569988131523,
0.028359033167362213,
-0.03635598346590996,
0.0376378558576107,
-0.06256572902202606,
0.006211445666849613,
-0.11879181116819382,
-0.10896588861942291,
-0.03164500743150711,
-0.04232283681631088,
-0.00385484891012311,
0.020942695438861847,
-0.060191769152879715,
-0.004838686436414719,
0.024063952267169952,
0.03647302836179733,
-0.0017186073819175363,
-0.09366273134946823,
-0.009036116302013397,
0.02035597898066044,
0.018089957535266876,
0.05083756521344185,
0.0026638961862772703,
0.05963381379842758,
-0.005322032608091831,
-0.023213835433125496,
-0.024860776960849762,
0.014615805819630623,
0.09061813354492188,
0.030396148562431335,
-0.07300595194101334,
0.03667381778359413,
0.01671716757118702,
0.1142110824584961,
-0.00004354377233539708,
-0.03806343302130699,
0.0014952601632103324,
0.024210594594478607,
-0.01947510987520218,
-0.09616812318563461,
-0.06751299649477005,
-0.01960374414920807,
-0.0716002881526947,
0.07746891677379608,
-0.0284205824136734,
-0.022872986271977425,
-0.0024361801333725452,
-3.3616930708189785e-33,
0.004179039504379034,
0.016509810462594032,
0.06560268998146057,
-0.02715163305401802,
0.021328158676624298,
-0.09542234241962433,
0.09438992291688919,
0.05935556814074516,
-0.05542675778269768,
-0.04595186561346054,
0.021167226135730743,
-0.020376047119498253,
0.05056372284889221,
-0.05340699851512909,
0.0009609138942323625,
0.06762197613716125,
-0.04857715591788292,
0.06526994705200195,
-0.007362397387623787,
0.0012032246449962258,
0.01535876002162695,
0.03928760811686516,
-0.03595442324876785,
0.03610282763838768,
-0.09426752477884293,
-0.012214789167046547,
-0.0480516254901886,
-0.08326393365859985,
-0.018562575802206993,
0.01981331594288349,
-0.00212867627851665,
-0.008034737780690193,
-0.03879128023982048,
-0.03157950937747955,
-0.03510308638215065,
-0.06218218430876732,
-0.055577732622623444,
0.05630343407392502,
0.042806126177310944,
0.10005928575992584,
0.04979998990893364,
0.035999201238155365,
-0.07267198711633682,
-0.03460346907377243,
-0.013156894594430923,
-0.13137948513031006,
-0.027445731684565544,
0.024172810837626457,
0.015608789399266243,
0.027525441721081734,
0.0679893046617508,
-0.011048872955143452,
-0.05716870725154877,
0.015646912157535553,
0.050551481544971466,
-0.01435016468167305,
-0.015414632856845856,
0.04096951335668564,
0.029476050287485123,
0.05696345120668411,
-0.034921180456876755,
0.009966792538762093,
0.025401748716831207,
0.0530976876616478,
0.11629648506641388,
0.07098954170942307,
0.08252474665641785,
0.019778404384851456,
-0.05540285259485245,
0.050342582166194916,
-0.004284062422811985,
-0.04609379544854164,
0.018355099484324455,
0.05688585713505745,
0.030474085360765457,
0.00029429153073579073,
-0.029157526791095734,
-0.04552135616540909,
-0.03331148251891136,
0.0543372705578804,
-0.001351434038951993,
-0.058799803256988525,
-0.005448469892144203,
0.12625929713249207,
0.13286572694778442,
0.09249117970466614,
0.01931959018111229,
-0.03624139353632927,
-0.02962961234152317,
0.044720008969306946,
-0.01364556048065424,
0.12341466546058655,
-0.025160619989037514,
0.013575898483395576,
0.019745061174035072,
-4.477178805473159e-8,
0.0088739525526762,
0.05437517911195755,
0.01370396837592125,
-0.07955589890480042,
-0.04572417959570885,
0.027768108993768692,
0.06916435807943344,
-0.007886852137744427,
-0.026121731847524643,
-0.06622743606567383,
0.011289882473647594,
-0.022614601999521255,
-0.050696443766355515,
0.006871863733977079,
0.07509420812129974,
0.03076464869081974,
0.01596659980714321,
-0.01768350973725319,
-0.0598657950758934,
-0.011776280589401722,
-0.01527651958167553,
0.005508132744580507,
0.020701199769973755,
0.006189060863107443,
-0.008388642221689224,
-0.04106704890727997,
-0.03455671668052673,
0.036041319370269775,
0.019100455567240715,
0.0073172529228031635,
-0.0454929918050766,
-0.013514566235244274,
0.07485438138246536,
-0.05887942016124725,
0.03907056525349617,
-0.028101254254579544,
-0.024602487683296204,
-0.0376691035926342,
-0.02646842785179615,
-0.0054018800146877766,
0.025897938758134842,
0.036235515028238297,
-0.11898131668567657,
-0.005922127515077591,
0.04617798328399658,
-0.010679483413696289,
0.12890318036079407,
0.010596741922199726,
-0.06397070735692978,
0.10373018682003021,
-0.014326196163892746,
-0.054461948573589325,
0.07229459285736084,
0.04945491999387741,
-0.014486964792013168,
0.0003475118428468704,
-0.0032667010091245174,
-0.03441334143280983,
0.15281791985034943,
0.02682877518236637,
0.05074160173535347,
-0.10423043370246887,
-0.10525951534509659,
-0.019977785646915436
] |
1402.2945
|
Andre Anders
|
Jonathan Kolbeck and Andr\'e Anders
|
Unusual Cathode Erosion Patterns Observed for Steered Arc Sources
|
Manuscript submitted to the 7th Triennial Special Issue of the IEEE
Transactions on Plasma Science "Images in Plasma Science," scheduled for
publication in August 2014. Manuscript length is limited to 2 pages
| null |
10.1109/TPS.2014.2328333
| null |
physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A cathodic arc source with a magnetron-type magnetic field was investigated
for stability, erosion, and compatibility with a linear macroparticle filter.
Here we report about unusual arc spot erosion patterns, which were narrow (~ 2
mm) with periodic pits when operating in argon, and broad (~ 10 mm) with
periodic groves and ridges when operating in an argon and oxygen mixtures.
These observations can be correlated with the ignition probability for type 2
and type 1 arc spots, respectively.
|
[
{
"created": "Wed, 12 Feb 2014 19:36:10 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Kolbeck",
"Jonathan",
""
],
[
"Anders",
"André",
""
]
] |
[
0.03027753345668316,
0.014554377645254135,
0.04195776954293251,
0.012742822989821434,
-0.011907304637134075,
-0.029354171827435493,
0.028357530012726784,
-0.007104405201971531,
-0.03648590296506882,
-0.10192275792360306,
-0.101971335709095,
-0.01914447918534279,
0.01023343950510025,
-0.05752440169453621,
-0.010852566920220852,
0.010401466861367226,
-0.04002402350306511,
-0.037453532218933105,
0.10388994216918945,
0.027111146599054337,
-0.0025693916250020266,
-0.0024972916580736637,
-0.050987109541893005,
0.00751355430111289,
-0.006478973664343357,
0.017351379618048668,
0.034191377460956573,
-0.04761483520269394,
-0.08259030431509018,
-0.06400544941425323,
0.0008567156037315726,
0.03854751959443092,
-0.0511770062148571,
0.01412312313914299,
-0.0007391602266579866,
-0.13666090369224548,
-0.040491558611392975,
0.14428523182868958,
0.04489915445446968,
0.037895530462265015,
-0.041260331869125366,
-0.024440599605441093,
0.07308681309223175,
-0.07231444865465164,
0.017029374837875366,
0.016422083601355553,
0.09615153074264526,
-0.15541650354862213,
-0.003190019866451621,
0.0028467236552387476,
0.03654520958662033,
0.018761122599244118,
-0.019329139962792397,
-0.015294034034013748,
0.009264416061341763,
-0.008064519613981247,
-0.04970438778400421,
0.017845068126916885,
0.0349678099155426,
-0.0482194758951664,
0.06110118329524994,
-0.0755511224269867,
-0.06809796392917633,
0.01075830776244402,
-0.04470120742917061,
0.001510618138127029,
0.0138521334156394,
-0.04103653132915497,
0.024168891832232475,
-0.0685410127043724,
0.033204976469278336,
0.11190162599086761,
-0.09130033105611801,
-0.04403477907180786,
-0.059395551681518555,
0.11150836944580078,
-0.0022347718477249146,
0.011566304601728916,
0.03546217456459999,
0.0017787875840440392,
-0.048860546201467514,
0.06028855964541435,
0.02402270957827568,
-0.017722560092806816,
0.007773174438625574,
0.1161217987537384,
0.05545414239168167,
-0.08477797359228134,
0.024037789553403854,
-0.013299576006829739,
0.03346327692270279,
0.06582092493772507,
0.005790709052234888,
0.025782385841012,
0.04749561473727226,
0.011524494737386703,
0.0929732471704483,
0.037594620138406754,
0.034493446350097656,
0.010738939046859741,
0.050911642611026764,
0.014907024800777435,
-0.06109482795000076,
0.031165270134806633,
-0.017545146867632866,
0.1047024354338646,
0.03762037307024002,
0.0387900210916996,
0.045839905738830566,
0.033850107342004776,
0.019351981580257416,
-0.014246862381696701,
-0.06173180416226387,
-0.07026354223489761,
0.035408370196819305,
0.055567603558301926,
0.0461202897131443,
-0.05385441333055496,
-0.09157352149486542,
0.038578685373067856,
0.014445453882217407,
0.04116186127066612,
-0.06391911953687668,
0.05610368773341179,
0.035515666007995605,
0.06994634121656418,
0.06915534287691116,
-1.97138759663048e-34,
-0.026961680501699448,
-0.009277715347707272,
-0.07388383150100708,
-0.06460098922252655,
-0.07275781780481339,
0.005823890212923288,
0.02957133762538433,
0.03780439496040344,
0.08498963713645935,
0.014723401516675949,
-0.08032317459583282,
0.06707026064395905,
-0.07358237355947495,
-0.04510612040758133,
-0.005673152860254049,
-0.07789970934391022,
0.07814284414052963,
-0.051976803690195084,
-0.14085054397583008,
-0.04480012133717537,
-0.044875338673591614,
0.040752582252025604,
-0.11830766499042511,
-0.0032645054161548615,
-0.06973438709974289,
0.025048891082406044,
0.00876210443675518,
-0.053836170583963394,
-0.0960896834731102,
0.06986013799905777,
0.009322751313447952,
-0.025753842666745186,
-0.013279847800731659,
0.0320642925798893,
0.011198206804692745,
-0.03781706467270851,
-0.08525332808494568,
0.04864795506000519,
0.0396004319190979,
-0.0330069400370121,
-0.005904747173190117,
0.05154502019286156,
-0.02337140031158924,
-0.0036404056008905172,
0.02192334458231926,
-0.06983302533626556,
0.021956829354166985,
0.08437149971723557,
0.033738430589437485,
-0.057908959686756134,
-0.0006783780409023166,
0.014417560771107674,
0.032523274421691895,
0.04825499281287193,
0.12098945677280426,
0.061144858598709106,
-0.04693644866347313,
-0.05912192910909653,
0.027969786897301674,
0.03776920214295387,
0.042504869401454926,
0.09195216745138168,
0.03613637387752533,
0.017847787588834763,
-0.08888281136751175,
0.05330567806959152,
0.02270784042775631,
0.04068500176072121,
0.029128188267350197,
0.015049395151436329,
0.03898250311613083,
0.03249656781554222,
-0.04690661281347275,
0.01557113230228424,
-0.0036048805341124535,
-0.05893367528915405,
0.009639257565140724,
0.03864201903343201,
0.04393744096159935,
0.018330339342355728,
-0.07278788834810257,
-0.054130055010318756,
-0.017960235476493835,
-0.02583979070186615,
0.021632680669426918,
0.06837450712919235,
0.03581871837377548,
0.030685730278491974,
-0.08316245675086975,
0.008646675385534763,
0.08944126963615417,
0.009037666954100132,
0.04086283966898918,
0.03241560980677605,
0.03275260329246521,
-1.792990165845874e-33,
-0.02521122433245182,
-0.004717555362731218,
-0.025876400992274284,
-0.043560195714235306,
-0.04721599072217941,
0.09516243636608124,
0.021418195217847824,
0.011196747422218323,
-0.06360210478305817,
0.044125478714704514,
-0.11488864570856094,
0.08044430613517761,
-0.018158940598368645,
-0.049945466220378876,
0.03311300650238991,
-0.08445770293474197,
-0.03272860497236252,
-0.06556862592697144,
0.0345524400472641,
0.014133943244814873,
-0.02101678028702736,
-0.053249433636665344,
-0.03134652227163315,
-0.07087565213441849,
-0.014321091584861279,
0.04578230902552605,
-0.0762288048863411,
-0.08576129376888275,
0.046035561710596085,
0.009052552282810211,
-0.05196655914187431,
0.07923302799463272,
0.06761348992586136,
-0.034645017236471176,
-0.003239069366827607,
-0.038622189313173294,
0.049555663019418716,
-0.05120866373181343,
-0.04037833213806152,
-0.1649988442659378,
-0.019089043140411377,
0.019058099016547203,
0.03647087514400482,
-0.0009645983809605241,
-0.02619904838502407,
0.008550296537578106,
0.08658052980899811,
0.03725898265838623,
0.027426665648818016,
0.0464472658932209,
-0.04449254646897316,
-0.06470935046672821,
0.007390602491796017,
0.08724861592054367,
-0.031353384256362915,
0.04776033014059067,
0.012500620447099209,
0.026484206318855286,
-0.04257804527878761,
0.04958394542336464,
-0.03762281313538551,
0.003450525924563408,
0.030643852427601814,
-0.034870170056819916,
0.03598790988326073,
0.034451454877853394,
0.04446950927376747,
0.05459493398666382,
-0.07838936895132065,
0.023453157395124435,
0.05772659182548523,
-0.01760726608335972,
0.06469529867172241,
-0.03313794359564781,
-0.054833635687828064,
-0.036045875400304794,
0.10646942257881165,
-0.01233270950615406,
-0.05571164935827255,
0.04465000331401825,
-0.022612836211919785,
0.07297224551439285,
-0.0514761246740818,
-0.010676099918782711,
-0.011967217549681664,
-0.11483270674943924,
-0.09312232583761215,
-0.05802625045180321,
-0.032273534685373306,
0.05928656458854675,
0.027344960719347,
-0.012888243421912193,
0.026327405124902725,
-0.04736180976033211,
-0.057049334049224854,
-4.559057842357106e-8,
0.04835986718535423,
0.07915044575929642,
-0.04772406071424484,
0.01000192016363144,
0.007202862296253443,
-0.022981517016887665,
-0.02256469428539276,
0.07339705526828766,
-0.030948936939239502,
-0.10532999783754349,
0.07874804735183716,
0.03135222569108009,
0.030271319672465324,
-0.026837090030312538,
0.058962687849998474,
0.0067276060581207275,
0.001093788887374103,
-0.029127243906259537,
-0.0037423192989081144,
0.028599517419934273,
0.03339643403887749,
-0.04006927087903023,
-0.03219597041606903,
-0.04167065769433975,
-0.07448091357946396,
0.07836563885211945,
0.009474514052271843,
0.013431279920041561,
-0.012714517302811146,
-0.015058656223118305,
-0.010114382952451706,
0.022439032793045044,
0.034169524908065796,
-0.018635030835866928,
-0.02128579653799534,
0.025739679113030434,
-0.04703357815742493,
-0.03446195274591446,
0.021633055061101913,
-0.042172905057668686,
-0.02372908964753151,
0.029616406187415123,
0.04163599759340286,
-0.0655549094080925,
-0.02028215304017067,
0.035706255584955215,
-0.01015473809093237,
-0.09654266387224197,
0.014244762249290943,
0.030090395361185074,
-0.07280291616916656,
-0.01307066809386015,
0.062162138521671295,
0.04889622703194618,
0.008275740779936314,
0.035678621381521225,
0.019568489864468575,
-0.07864847779273987,
0.04747077822685242,
-0.05542493984103203,
-0.012715515680611134,
-0.010219943709671497,
-0.02305673435330391,
0.023253019899129868
] | null | null | null | null | null | null | null |
[
0.03027753345668316,
0.014554377645254135,
0.04195776954293251,
0.012742822989821434,
-0.011907304637134075,
-0.029354171827435493,
0.028357530012726784,
-0.007104405201971531,
-0.03648590296506882,
-0.10192275792360306,
-0.101971335709095,
-0.01914447918534279,
0.01023343950510025,
-0.05752440169453621,
-0.010852566920220852,
0.010401466861367226,
-0.04002402350306511,
-0.037453532218933105,
0.10388994216918945,
0.027111146599054337,
-0.0025693916250020266,
-0.0024972916580736637,
-0.050987109541893005,
0.00751355430111289,
-0.006478973664343357,
0.017351379618048668,
0.034191377460956573,
-0.04761483520269394,
-0.08259030431509018,
-0.06400544941425323,
0.0008567156037315726,
0.03854751959443092,
-0.0511770062148571,
0.01412312313914299,
-0.0007391602266579866,
-0.13666090369224548,
-0.040491558611392975,
0.14428523182868958,
0.04489915445446968,
0.037895530462265015,
-0.041260331869125366,
-0.024440599605441093,
0.07308681309223175,
-0.07231444865465164,
0.017029374837875366,
0.016422083601355553,
0.09615153074264526,
-0.15541650354862213,
-0.003190019866451621,
0.0028467236552387476,
0.03654520958662033,
0.018761122599244118,
-0.019329139962792397,
-0.015294034034013748,
0.009264416061341763,
-0.008064519613981247,
-0.04970438778400421,
0.017845068126916885,
0.0349678099155426,
-0.0482194758951664,
0.06110118329524994,
-0.0755511224269867,
-0.06809796392917633,
0.01075830776244402,
-0.04470120742917061,
0.001510618138127029,
0.0138521334156394,
-0.04103653132915497,
0.024168891832232475,
-0.0685410127043724,
0.033204976469278336,
0.11190162599086761,
-0.09130033105611801,
-0.04403477907180786,
-0.059395551681518555,
0.11150836944580078,
-0.0022347718477249146,
0.011566304601728916,
0.03546217456459999,
0.0017787875840440392,
-0.048860546201467514,
0.06028855964541435,
0.02402270957827568,
-0.017722560092806816,
0.007773174438625574,
0.1161217987537384,
0.05545414239168167,
-0.08477797359228134,
0.024037789553403854,
-0.013299576006829739,
0.03346327692270279,
0.06582092493772507,
0.005790709052234888,
0.025782385841012,
0.04749561473727226,
0.011524494737386703,
0.0929732471704483,
0.037594620138406754,
0.034493446350097656,
0.010738939046859741,
0.050911642611026764,
0.014907024800777435,
-0.06109482795000076,
0.031165270134806633,
-0.017545146867632866,
0.1047024354338646,
0.03762037307024002,
0.0387900210916996,
0.045839905738830566,
0.033850107342004776,
0.019351981580257416,
-0.014246862381696701,
-0.06173180416226387,
-0.07026354223489761,
0.035408370196819305,
0.055567603558301926,
0.0461202897131443,
-0.05385441333055496,
-0.09157352149486542,
0.038578685373067856,
0.014445453882217407,
0.04116186127066612,
-0.06391911953687668,
0.05610368773341179,
0.035515666007995605,
0.06994634121656418,
0.06915534287691116,
-1.97138759663048e-34,
-0.026961680501699448,
-0.009277715347707272,
-0.07388383150100708,
-0.06460098922252655,
-0.07275781780481339,
0.005823890212923288,
0.02957133762538433,
0.03780439496040344,
0.08498963713645935,
0.014723401516675949,
-0.08032317459583282,
0.06707026064395905,
-0.07358237355947495,
-0.04510612040758133,
-0.005673152860254049,
-0.07789970934391022,
0.07814284414052963,
-0.051976803690195084,
-0.14085054397583008,
-0.04480012133717537,
-0.044875338673591614,
0.040752582252025604,
-0.11830766499042511,
-0.0032645054161548615,
-0.06973438709974289,
0.025048891082406044,
0.00876210443675518,
-0.053836170583963394,
-0.0960896834731102,
0.06986013799905777,
0.009322751313447952,
-0.025753842666745186,
-0.013279847800731659,
0.0320642925798893,
0.011198206804692745,
-0.03781706467270851,
-0.08525332808494568,
0.04864795506000519,
0.0396004319190979,
-0.0330069400370121,
-0.005904747173190117,
0.05154502019286156,
-0.02337140031158924,
-0.0036404056008905172,
0.02192334458231926,
-0.06983302533626556,
0.021956829354166985,
0.08437149971723557,
0.033738430589437485,
-0.057908959686756134,
-0.0006783780409023166,
0.014417560771107674,
0.032523274421691895,
0.04825499281287193,
0.12098945677280426,
0.061144858598709106,
-0.04693644866347313,
-0.05912192910909653,
0.027969786897301674,
0.03776920214295387,
0.042504869401454926,
0.09195216745138168,
0.03613637387752533,
0.017847787588834763,
-0.08888281136751175,
0.05330567806959152,
0.02270784042775631,
0.04068500176072121,
0.029128188267350197,
0.015049395151436329,
0.03898250311613083,
0.03249656781554222,
-0.04690661281347275,
0.01557113230228424,
-0.0036048805341124535,
-0.05893367528915405,
0.009639257565140724,
0.03864201903343201,
0.04393744096159935,
0.018330339342355728,
-0.07278788834810257,
-0.054130055010318756,
-0.017960235476493835,
-0.02583979070186615,
0.021632680669426918,
0.06837450712919235,
0.03581871837377548,
0.030685730278491974,
-0.08316245675086975,
0.008646675385534763,
0.08944126963615417,
0.009037666954100132,
0.04086283966898918,
0.03241560980677605,
0.03275260329246521,
-1.792990165845874e-33,
-0.02521122433245182,
-0.004717555362731218,
-0.025876400992274284,
-0.043560195714235306,
-0.04721599072217941,
0.09516243636608124,
0.021418195217847824,
0.011196747422218323,
-0.06360210478305817,
0.044125478714704514,
-0.11488864570856094,
0.08044430613517761,
-0.018158940598368645,
-0.049945466220378876,
0.03311300650238991,
-0.08445770293474197,
-0.03272860497236252,
-0.06556862592697144,
0.0345524400472641,
0.014133943244814873,
-0.02101678028702736,
-0.053249433636665344,
-0.03134652227163315,
-0.07087565213441849,
-0.014321091584861279,
0.04578230902552605,
-0.0762288048863411,
-0.08576129376888275,
0.046035561710596085,
0.009052552282810211,
-0.05196655914187431,
0.07923302799463272,
0.06761348992586136,
-0.034645017236471176,
-0.003239069366827607,
-0.038622189313173294,
0.049555663019418716,
-0.05120866373181343,
-0.04037833213806152,
-0.1649988442659378,
-0.019089043140411377,
0.019058099016547203,
0.03647087514400482,
-0.0009645983809605241,
-0.02619904838502407,
0.008550296537578106,
0.08658052980899811,
0.03725898265838623,
0.027426665648818016,
0.0464472658932209,
-0.04449254646897316,
-0.06470935046672821,
0.007390602491796017,
0.08724861592054367,
-0.031353384256362915,
0.04776033014059067,
0.012500620447099209,
0.026484206318855286,
-0.04257804527878761,
0.04958394542336464,
-0.03762281313538551,
0.003450525924563408,
0.030643852427601814,
-0.034870170056819916,
0.03598790988326073,
0.034451454877853394,
0.04446950927376747,
0.05459493398666382,
-0.07838936895132065,
0.023453157395124435,
0.05772659182548523,
-0.01760726608335972,
0.06469529867172241,
-0.03313794359564781,
-0.054833635687828064,
-0.036045875400304794,
0.10646942257881165,
-0.01233270950615406,
-0.05571164935827255,
0.04465000331401825,
-0.022612836211919785,
0.07297224551439285,
-0.0514761246740818,
-0.010676099918782711,
-0.011967217549681664,
-0.11483270674943924,
-0.09312232583761215,
-0.05802625045180321,
-0.032273534685373306,
0.05928656458854675,
0.027344960719347,
-0.012888243421912193,
0.026327405124902725,
-0.04736180976033211,
-0.057049334049224854,
-4.559057842357106e-8,
0.04835986718535423,
0.07915044575929642,
-0.04772406071424484,
0.01000192016363144,
0.007202862296253443,
-0.022981517016887665,
-0.02256469428539276,
0.07339705526828766,
-0.030948936939239502,
-0.10532999783754349,
0.07874804735183716,
0.03135222569108009,
0.030271319672465324,
-0.026837090030312538,
0.058962687849998474,
0.0067276060581207275,
0.001093788887374103,
-0.029127243906259537,
-0.0037423192989081144,
0.028599517419934273,
0.03339643403887749,
-0.04006927087903023,
-0.03219597041606903,
-0.04167065769433975,
-0.07448091357946396,
0.07836563885211945,
0.009474514052271843,
0.013431279920041561,
-0.012714517302811146,
-0.015058656223118305,
-0.010114382952451706,
0.022439032793045044,
0.034169524908065796,
-0.018635030835866928,
-0.02128579653799534,
0.025739679113030434,
-0.04703357815742493,
-0.03446195274591446,
0.021633055061101913,
-0.042172905057668686,
-0.02372908964753151,
0.029616406187415123,
0.04163599759340286,
-0.0655549094080925,
-0.02028215304017067,
0.035706255584955215,
-0.01015473809093237,
-0.09654266387224197,
0.014244762249290943,
0.030090395361185074,
-0.07280291616916656,
-0.01307066809386015,
0.062162138521671295,
0.04889622703194618,
0.008275740779936314,
0.035678621381521225,
0.019568489864468575,
-0.07864847779273987,
0.04747077822685242,
-0.05542493984103203,
-0.012715515680611134,
-0.010219943709671497,
-0.02305673435330391,
0.023253019899129868
] |
1402.2948
|
Petr \v{C}erm\'ak
|
Petr \v{C}erm\'ak, Alessio Lomuscio, Fabio Mogavero, Aniello Murano
|
MCMAS-SLK: A Model Checker for the Verification of Strategy Logic
Specifications
| null | null | null | null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce MCMAS-SLK, a BDD-based model checker for the verification of
systems against specifications expressed in a novel, epistemic variant of
strategy logic. We give syntax and semantics of the specification language and
introduce a labelling algorithm for epistemic and strategy logic modalities. We
provide details of the checker which can also be used for synthesising agents'
strategies so that a specification is satisfied by the system. We evaluate the
efficiency of the implementation by discussing the results obtained for the
dining cryptographers protocol and a variant of the cake-cutting problem.
|
[
{
"created": "Tue, 11 Feb 2014 18:21:25 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2014 11:05:29 GMT",
"version": "v2"
},
{
"created": "Fri, 16 May 2014 09:47:01 GMT",
"version": "v3"
}
] |
2014-05-19
|
[
[
"Čermák",
"Petr",
""
],
[
"Lomuscio",
"Alessio",
""
],
[
"Mogavero",
"Fabio",
""
],
[
"Murano",
"Aniello",
""
]
] |
[
-0.0068895756267011166,
0.03714809566736221,
-0.0784938707947731,
-0.09358774870634079,
0.024463606998324394,
0.025758828967809677,
0.0888843983411789,
-0.05879025161266327,
-0.053954556584358215,
0.01767863892018795,
-0.017638348042964935,
-0.029248831793665886,
0.127760648727417,
0.02888982556760311,
0.03763723000884056,
-0.05654184892773628,
0.059749502688646317,
0.024317149072885513,
0.06945858895778656,
-0.004206126090139151,
-0.024538077414035797,
-0.04793651029467583,
-0.018831007182598114,
0.021993566304445267,
-0.09520451724529266,
-0.002510043792426586,
0.07780317962169647,
-0.06805132329463959,
-0.06471309065818787,
-0.0391232892870903,
0.046068593859672546,
0.030394969508051872,
-0.01016481313854456,
0.014054246246814728,
0.08737754076719284,
0.02769947052001953,
-0.015186935663223267,
-0.040375757962465286,
0.00510096549987793,
-0.040472328662872314,
-0.09175361692905426,
-0.11648428440093994,
-0.049339160323143005,
-0.005562628153711557,
-0.046709880232810974,
0.04934346675872803,
-0.052949320524930954,
0.03030998446047306,
-0.07990986853837967,
0.010305476374924183,
-0.003459605621173978,
-0.03925924748182297,
-0.010472327470779419,
-0.06072360277175903,
0.0934114158153534,
0.03925328329205513,
-0.03352165222167969,
-0.0032378556206822395,
0.0021304702386260033,
-0.03163786605000496,
-0.0353190042078495,
0.030233507975935936,
-0.04662181809544563,
0.01918923109769821,
0.012876979075372219,
0.09652766585350037,
-0.04715826362371445,
0.022389069199562073,
-0.0036104985047131777,
0.030145252123475075,
-0.023844270035624504,
-0.02919982559978962,
0.06616395711898804,
0.02563496306538582,
-0.058512426912784576,
0.0068358550779521465,
0.046398960053920746,
0.021004069596529007,
0.014756200835108757,
-0.021159274503588676,
-0.09524720907211304,
0.011847836896777153,
-0.033775925636291504,
0.0759824886918068,
0.03618735447525978,
-0.006310231052339077,
-0.031227542087435722,
-0.03356777876615524,
0.05258895084261894,
0.0032274574041366577,
0.015092357993125916,
0.007167244330048561,
0.034887947142124176,
0.009059343487024307,
0.05134233832359314,
0.07845204323530197,
-0.0734892413020134,
-0.056365568190813065,
0.05260556563735008,
0.06356893479824066,
-0.10941213369369507,
0.11052205413579941,
0.001139156287536025,
-0.09045619517564774,
0.08681371062994003,
0.014642957597970963,
0.01875215768814087,
0.026812845841050148,
0.05073751509189606,
-0.0538724921643734,
0.017304282635450363,
0.04064487665891647,
0.056959252804517746,
-0.04973627254366875,
0.0019782353192567825,
0.011459843255579472,
-0.04592401906847954,
0.07706168293952942,
-0.01669454202055931,
-0.031031247228384018,
0.053249817341566086,
0.05192266404628754,
0.0430779904127121,
0.026246344670653343,
0.02465212345123291,
-0.0018061086302623153,
0.0002495524531695992,
-5.656141320708467e-34,
-0.025296689942479134,
0.03577654808759689,
0.040354516357183456,
0.0406658910214901,
0.02880088984966278,
0.003921069670468569,
0.07177088409662247,
-0.018226834014058113,
-0.06991921365261078,
0.0082516735419631,
0.02821826934814453,
0.022308681160211563,
-0.06936067342758179,
0.013876860029995441,
0.1283072531223297,
0.050755154341459274,
0.002097759395837784,
0.029246406629681587,
0.030032053589820862,
-0.043744493275880814,
0.058070067316293716,
-0.05428686738014221,
0.011436788365244865,
-0.03467622399330139,
0.005350145976990461,
0.030545400455594063,
-0.0015439940616488457,
0.03362181410193443,
0.06467895209789276,
-0.0009825141169130802,
-0.015678655356168747,
-0.04840727150440216,
0.07781165838241577,
0.05943533778190613,
0.0009168367250822484,
-0.007546996232122183,
0.0012989634415134788,
-0.07123604416847229,
-0.027290839701890945,
-0.07511879503726959,
0.024570949375629425,
-0.023404359817504883,
-0.05962511897087097,
0.037240784615278244,
-0.015635384246706963,
0.018518567085266113,
-0.08594398200511932,
-0.007487144786864519,
0.04491281881928444,
-0.02110024355351925,
0.09617507457733154,
0.0440966822206974,
0.03736717253923416,
-0.06359598785638809,
-0.02123858965933323,
-0.12212636321783066,
-0.00871426984667778,
-0.021394431591033936,
0.015463755466043949,
0.08234811574220657,
-0.005135955289006233,
0.0006722286925651133,
-0.028304459527134895,
-0.020568180829286575,
-0.0581933856010437,
0.05254733934998512,
-0.11531725525856018,
-0.006189939100295305,
0.03330264985561371,
-0.024197449907660484,
-0.059630002826452255,
-0.024141311645507812,
0.05615841597318649,
0.07637586444616318,
0.002456226386129856,
-0.05630720034241676,
-0.03838760778307915,
-0.02466205321252346,
-0.0003506417851895094,
-0.02852480858564377,
0.04223913699388504,
0.0775655135512352,
-0.008366402238607407,
0.04264785349369049,
0.02659851312637329,
-0.07773825526237488,
-0.07425101101398468,
0.017298802733421326,
0.008619438856840134,
0.02217528410255909,
-0.11652833223342896,
-0.019686438143253326,
-0.009764068759977818,
0.0465945303440094,
0.0619552917778492,
-1.5644804925307524e-33,
-0.018250778317451477,
-0.04012610763311386,
-0.03194880485534668,
0.03204716742038727,
-0.04304121434688568,
-0.12313926964998245,
0.04036528989672661,
0.005948223639279604,
0.005619123578071594,
-0.026200806722044945,
-0.06209086626768112,
-0.040953028947114944,
0.05448007583618164,
-0.051363781094551086,
0.015078549273312092,
-0.05216703936457634,
-0.027601689100265503,
-0.0684748962521553,
0.0009478644351474941,
0.07603868097066879,
0.06093867868185043,
0.07727415859699249,
-0.12614047527313232,
0.001518356497399509,
0.08092256635427475,
0.07486753910779953,
-0.03512125834822655,
0.06693467497825623,
0.031519267708063126,
0.027083922177553177,
0.027332676574587822,
-0.06450880318880081,
0.04813215136528015,
0.009392740204930305,
-0.027436738833785057,
-0.05253223329782486,
0.02680191956460476,
0.03997987136244774,
-0.04475321248173714,
0.013974223285913467,
-0.026728888973593712,
-0.12059516459703445,
-0.09445948898792267,
0.04844077304005623,
0.02855922281742096,
-0.011436915025115013,
0.018195567652583122,
0.050907835364341736,
0.04142896831035614,
-0.07944606244564056,
0.001127632218413055,
-0.034954313188791275,
0.016347691416740417,
-0.06821051239967346,
-0.027356723323464394,
0.03217284008860588,
-0.04295936971902847,
0.011384815908968449,
0.04172039031982422,
0.02002539113163948,
0.006021277513355017,
0.03233591094613075,
0.06857869029045105,
0.09631947427988052,
0.05688406527042389,
0.03494664654135704,
-0.02012302353978157,
0.02008209377527237,
0.09323614090681076,
-0.02651914581656456,
0.008011884056031704,
0.012067906558513641,
-0.0709361732006073,
0.09909585863351822,
0.06715147942304611,
-0.007237207144498825,
-0.06042885780334473,
0.012952098622918129,
0.019317319616675377,
0.05509914457798004,
-0.012122605927288532,
0.01197738479822874,
0.05299348384141922,
0.07408637553453445,
-0.020678561180830002,
-0.0222126804292202,
0.025983652099967003,
-0.011317363940179348,
-0.06884775310754776,
0.012778264470398426,
-0.046386368572711945,
-0.028651010245084763,
0.0426429808139801,
0.09225014597177505,
-0.049426473677158356,
-4.5986912056150686e-8,
-0.07343261688947678,
-0.016844067722558975,
0.04381483793258667,
0.009462756104767323,
0.042236436158418655,
-0.005895091686397791,
-0.039920710027217865,
-0.1762516051530838,
0.03205064684152603,
-0.0684552788734436,
0.003059383947402239,
0.04168812930583954,
-0.04694266617298126,
-0.048927851021289825,
-0.005238106939941645,
-0.030503738671541214,
0.03878495469689369,
-0.0025896781589835882,
-0.0692303404211998,
0.012889626435935497,
-0.0034173636231571436,
0.019080502912402153,
0.01882890984416008,
0.02692943997681141,
0.01095518283545971,
0.010238384827971458,
-0.022802304476499557,
0.07437803596258163,
0.025653643533587456,
0.18214812874794006,
0.037989046424627304,
-0.06929314136505127,
0.08140352368354797,
0.05551757290959358,
0.04947223886847496,
0.09094347059726715,
-0.045544836670160294,
-0.0003673375176731497,
0.09486094862222672,
-0.06067769229412079,
-0.053451526910066605,
0.0014946510782465339,
-0.09564562886953354,
-0.007233890704810619,
0.004544374067336321,
0.016444159671664238,
-0.041114404797554016,
-0.0760011300444603,
-0.0667237788438797,
0.01842527836561203,
-0.042022496461868286,
-0.045194368809461594,
-0.06285707652568817,
0.005870027467608452,
-0.0616970956325531,
0.0625106617808342,
0.017156342044472694,
-0.1015377789735794,
0.048098716884851456,
-0.061678241938352585,
0.02627023309469223,
0.04603519290685654,
0.08451687544584274,
-0.01732572913169861
] | null | null | null | null | null | null | null |
[
-0.0068895756267011166,
0.03714809566736221,
-0.0784938707947731,
-0.09358774870634079,
0.024463606998324394,
0.025758828967809677,
0.0888843983411789,
-0.05879025161266327,
-0.053954556584358215,
0.01767863892018795,
-0.017638348042964935,
-0.029248831793665886,
0.127760648727417,
0.02888982556760311,
0.03763723000884056,
-0.05654184892773628,
0.059749502688646317,
0.024317149072885513,
0.06945858895778656,
-0.004206126090139151,
-0.024538077414035797,
-0.04793651029467583,
-0.018831007182598114,
0.021993566304445267,
-0.09520451724529266,
-0.002510043792426586,
0.07780317962169647,
-0.06805132329463959,
-0.06471309065818787,
-0.0391232892870903,
0.046068593859672546,
0.030394969508051872,
-0.01016481313854456,
0.014054246246814728,
0.08737754076719284,
0.02769947052001953,
-0.015186935663223267,
-0.040375757962465286,
0.00510096549987793,
-0.040472328662872314,
-0.09175361692905426,
-0.11648428440093994,
-0.049339160323143005,
-0.005562628153711557,
-0.046709880232810974,
0.04934346675872803,
-0.052949320524930954,
0.03030998446047306,
-0.07990986853837967,
0.010305476374924183,
-0.003459605621173978,
-0.03925924748182297,
-0.010472327470779419,
-0.06072360277175903,
0.0934114158153534,
0.03925328329205513,
-0.03352165222167969,
-0.0032378556206822395,
0.0021304702386260033,
-0.03163786605000496,
-0.0353190042078495,
0.030233507975935936,
-0.04662181809544563,
0.01918923109769821,
0.012876979075372219,
0.09652766585350037,
-0.04715826362371445,
0.022389069199562073,
-0.0036104985047131777,
0.030145252123475075,
-0.023844270035624504,
-0.02919982559978962,
0.06616395711898804,
0.02563496306538582,
-0.058512426912784576,
0.0068358550779521465,
0.046398960053920746,
0.021004069596529007,
0.014756200835108757,
-0.021159274503588676,
-0.09524720907211304,
0.011847836896777153,
-0.033775925636291504,
0.0759824886918068,
0.03618735447525978,
-0.006310231052339077,
-0.031227542087435722,
-0.03356777876615524,
0.05258895084261894,
0.0032274574041366577,
0.015092357993125916,
0.007167244330048561,
0.034887947142124176,
0.009059343487024307,
0.05134233832359314,
0.07845204323530197,
-0.0734892413020134,
-0.056365568190813065,
0.05260556563735008,
0.06356893479824066,
-0.10941213369369507,
0.11052205413579941,
0.001139156287536025,
-0.09045619517564774,
0.08681371062994003,
0.014642957597970963,
0.01875215768814087,
0.026812845841050148,
0.05073751509189606,
-0.0538724921643734,
0.017304282635450363,
0.04064487665891647,
0.056959252804517746,
-0.04973627254366875,
0.0019782353192567825,
0.011459843255579472,
-0.04592401906847954,
0.07706168293952942,
-0.01669454202055931,
-0.031031247228384018,
0.053249817341566086,
0.05192266404628754,
0.0430779904127121,
0.026246344670653343,
0.02465212345123291,
-0.0018061086302623153,
0.0002495524531695992,
-5.656141320708467e-34,
-0.025296689942479134,
0.03577654808759689,
0.040354516357183456,
0.0406658910214901,
0.02880088984966278,
0.003921069670468569,
0.07177088409662247,
-0.018226834014058113,
-0.06991921365261078,
0.0082516735419631,
0.02821826934814453,
0.022308681160211563,
-0.06936067342758179,
0.013876860029995441,
0.1283072531223297,
0.050755154341459274,
0.002097759395837784,
0.029246406629681587,
0.030032053589820862,
-0.043744493275880814,
0.058070067316293716,
-0.05428686738014221,
0.011436788365244865,
-0.03467622399330139,
0.005350145976990461,
0.030545400455594063,
-0.0015439940616488457,
0.03362181410193443,
0.06467895209789276,
-0.0009825141169130802,
-0.015678655356168747,
-0.04840727150440216,
0.07781165838241577,
0.05943533778190613,
0.0009168367250822484,
-0.007546996232122183,
0.0012989634415134788,
-0.07123604416847229,
-0.027290839701890945,
-0.07511879503726959,
0.024570949375629425,
-0.023404359817504883,
-0.05962511897087097,
0.037240784615278244,
-0.015635384246706963,
0.018518567085266113,
-0.08594398200511932,
-0.007487144786864519,
0.04491281881928444,
-0.02110024355351925,
0.09617507457733154,
0.0440966822206974,
0.03736717253923416,
-0.06359598785638809,
-0.02123858965933323,
-0.12212636321783066,
-0.00871426984667778,
-0.021394431591033936,
0.015463755466043949,
0.08234811574220657,
-0.005135955289006233,
0.0006722286925651133,
-0.028304459527134895,
-0.020568180829286575,
-0.0581933856010437,
0.05254733934998512,
-0.11531725525856018,
-0.006189939100295305,
0.03330264985561371,
-0.024197449907660484,
-0.059630002826452255,
-0.024141311645507812,
0.05615841597318649,
0.07637586444616318,
0.002456226386129856,
-0.05630720034241676,
-0.03838760778307915,
-0.02466205321252346,
-0.0003506417851895094,
-0.02852480858564377,
0.04223913699388504,
0.0775655135512352,
-0.008366402238607407,
0.04264785349369049,
0.02659851312637329,
-0.07773825526237488,
-0.07425101101398468,
0.017298802733421326,
0.008619438856840134,
0.02217528410255909,
-0.11652833223342896,
-0.019686438143253326,
-0.009764068759977818,
0.0465945303440094,
0.0619552917778492,
-1.5644804925307524e-33,
-0.018250778317451477,
-0.04012610763311386,
-0.03194880485534668,
0.03204716742038727,
-0.04304121434688568,
-0.12313926964998245,
0.04036528989672661,
0.005948223639279604,
0.005619123578071594,
-0.026200806722044945,
-0.06209086626768112,
-0.040953028947114944,
0.05448007583618164,
-0.051363781094551086,
0.015078549273312092,
-0.05216703936457634,
-0.027601689100265503,
-0.0684748962521553,
0.0009478644351474941,
0.07603868097066879,
0.06093867868185043,
0.07727415859699249,
-0.12614047527313232,
0.001518356497399509,
0.08092256635427475,
0.07486753910779953,
-0.03512125834822655,
0.06693467497825623,
0.031519267708063126,
0.027083922177553177,
0.027332676574587822,
-0.06450880318880081,
0.04813215136528015,
0.009392740204930305,
-0.027436738833785057,
-0.05253223329782486,
0.02680191956460476,
0.03997987136244774,
-0.04475321248173714,
0.013974223285913467,
-0.026728888973593712,
-0.12059516459703445,
-0.09445948898792267,
0.04844077304005623,
0.02855922281742096,
-0.011436915025115013,
0.018195567652583122,
0.050907835364341736,
0.04142896831035614,
-0.07944606244564056,
0.001127632218413055,
-0.034954313188791275,
0.016347691416740417,
-0.06821051239967346,
-0.027356723323464394,
0.03217284008860588,
-0.04295936971902847,
0.011384815908968449,
0.04172039031982422,
0.02002539113163948,
0.006021277513355017,
0.03233591094613075,
0.06857869029045105,
0.09631947427988052,
0.05688406527042389,
0.03494664654135704,
-0.02012302353978157,
0.02008209377527237,
0.09323614090681076,
-0.02651914581656456,
0.008011884056031704,
0.012067906558513641,
-0.0709361732006073,
0.09909585863351822,
0.06715147942304611,
-0.007237207144498825,
-0.06042885780334473,
0.012952098622918129,
0.019317319616675377,
0.05509914457798004,
-0.012122605927288532,
0.01197738479822874,
0.05299348384141922,
0.07408637553453445,
-0.020678561180830002,
-0.0222126804292202,
0.025983652099967003,
-0.011317363940179348,
-0.06884775310754776,
0.012778264470398426,
-0.046386368572711945,
-0.028651010245084763,
0.0426429808139801,
0.09225014597177505,
-0.049426473677158356,
-4.5986912056150686e-8,
-0.07343261688947678,
-0.016844067722558975,
0.04381483793258667,
0.009462756104767323,
0.042236436158418655,
-0.005895091686397791,
-0.039920710027217865,
-0.1762516051530838,
0.03205064684152603,
-0.0684552788734436,
0.003059383947402239,
0.04168812930583954,
-0.04694266617298126,
-0.048927851021289825,
-0.005238106939941645,
-0.030503738671541214,
0.03878495469689369,
-0.0025896781589835882,
-0.0692303404211998,
0.012889626435935497,
-0.0034173636231571436,
0.019080502912402153,
0.01882890984416008,
0.02692943997681141,
0.01095518283545971,
0.010238384827971458,
-0.022802304476499557,
0.07437803596258163,
0.025653643533587456,
0.18214812874794006,
0.037989046424627304,
-0.06929314136505127,
0.08140352368354797,
0.05551757290959358,
0.04947223886847496,
0.09094347059726715,
-0.045544836670160294,
-0.0003673375176731497,
0.09486094862222672,
-0.06067769229412079,
-0.053451526910066605,
0.0014946510782465339,
-0.09564562886953354,
-0.007233890704810619,
0.004544374067336321,
0.016444159671664238,
-0.041114404797554016,
-0.0760011300444603,
-0.0667237788438797,
0.01842527836561203,
-0.042022496461868286,
-0.045194368809461594,
-0.06285707652568817,
0.005870027467608452,
-0.0616970956325531,
0.0625106617808342,
0.017156342044472694,
-0.1015377789735794,
0.048098716884851456,
-0.061678241938352585,
0.02627023309469223,
0.04603519290685654,
0.08451687544584274,
-0.01732572913169861
] |
1402.2949
|
Aaron Karper
|
Aaron Karper
|
A Programming Language Oriented Approach to Computability
|
Bachelor thesis at the University of Bern, supervised by Professor
Dr. Thomas Strahm
| null | null | null |
cs.PL cs.LO
|
http://creativecommons.org/licenses/publicdomain/
|
The field of computability and complexity was, where computer science sprung
from. Turing, Church, and Kleene all developed formalisms that demonstrated
what they held "intuitively computable". The times change however and today's
(aspiring) computer scientists are less proficient in building automata or
composing functions and are much more native to the world of programming
languages. This article will try to introduce typical concepts of computability
theory and complexity in a form more fitted for a modern developer. It is
mostly based on \cite{jones}, but takes input from other sources to provide
examples, additional information, etc.
|
[
{
"created": "Mon, 10 Feb 2014 21:35:37 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Karper",
"Aaron",
""
]
] |
[
-0.026236947625875473,
0.01789667084813118,
-0.07485055178403854,
-0.02944941259920597,
-0.036824263632297516,
-0.11011860519647598,
0.023153144866228104,
0.03411373496055603,
-0.0716429054737091,
0.06749292463064194,
-0.14499853551387787,
0.0025939904153347015,
0.03431161865592003,
-0.008046492002904415,
0.0026973295025527477,
0.006534206215292215,
-0.0771862044930458,
-0.062045712023973465,
-0.0063527110032737255,
-0.12169612944126129,
0.00880449078977108,
0.01072061900049448,
-0.0765172466635704,
0.014076302759349346,
-0.03933824226260185,
0.09469742327928543,
-0.0739249736070633,
-0.1165364608168602,
0.03288652002811432,
0.002157684648409486,
-0.11746852844953537,
0.057556670159101486,
0.12303987145423889,
0.015639005228877068,
-0.02085152082145214,
0.02249053493142128,
0.07299178093671799,
-0.0120641328394413,
0.04725184664130211,
0.009696642868220806,
-0.05853921175003052,
0.015143963508307934,
0.05460415780544281,
-0.053740739822387695,
-0.008395642042160034,
0.027541225776076317,
-0.03426008298993111,
-0.05348808318376541,
-0.11202134191989899,
0.043019555509090424,
-0.12712697684764862,
-0.04554633051156998,
-0.04524177312850952,
-0.07971686869859695,
0.021781878545880318,
0.0027640906628221273,
0.07829496264457703,
0.066062793135643,
-0.05910523608326912,
-0.10214528441429138,
-0.043045446276664734,
-0.0018459907732903957,
-0.015606154687702656,
0.04903433471918106,
0.08971904218196869,
0.007009771186858416,
0.00701780105009675,
0.01506589911878109,
0.006473253946751356,
0.03812861070036888,
-0.059785377234220505,
0.03972464054822922,
-0.08761288225650787,
0.06367615610361099,
0.044804178178310394,
-0.022372838109731674,
-0.012236334383487701,
0.035205185413360596,
-0.0020808777771890163,
0.032037414610385895,
-0.01092635840177536,
-0.016350075602531433,
-0.04766283929347992,
0.09756410866975784,
-0.06837987154722214,
0.03258250281214714,
-0.04214639589190483,
0.029299601912498474,
0.08819763362407684,
-0.09333444386720657,
-0.019856587052345276,
-0.08223087340593338,
-0.01401802059262991,
-0.006310995668172836,
0.0939604863524437,
-0.01213075127452612,
0.037399910390377045,
-0.07408280670642853,
-0.021582329645752907,
-0.0028192780446261168,
-0.04590669274330139,
0.08056537806987762,
0.0656769871711731,
-0.06077674776315689,
0.046732477843761444,
0.003394352737814188,
0.032151948660612106,
0.009462166577577591,
0.002702428726479411,
-0.07564424723386765,
0.014976871199905872,
0.01644498109817505,
0.02510569617152214,
-0.02358068898320198,
0.046223171055316925,
-0.007722212467342615,
-0.03905993700027466,
-0.0276725385338068,
0.03368385508656502,
0.02524416893720627,
0.09104123711585999,
0.004892269615083933,
-0.1210586205124855,
0.02103928104043007,
-0.018430491909384727,
-0.06422674655914307,
0.029617691412568092,
1.6088661719862182e-34,
0.007726342882961035,
0.09801457077264786,
-0.021679870784282684,
0.0603100061416626,
0.08458080142736435,
-0.024837663397192955,
0.03154516965150833,
0.0010969354771077633,
-0.009995990432798862,
-0.01761620305478573,
0.0117651904001832,
0.0719158872961998,
0.0021673808805644512,
0.012850159779191017,
0.030315754935145378,
0.01725834608078003,
0.02310536429286003,
0.009332455694675446,
0.010317225009202957,
-0.08739008754491806,
0.1291772574186325,
0.05591505765914917,
-0.04222739115357399,
-0.06020347774028778,
0.051555562764406204,
0.051433876156806946,
0.0010231052292510867,
-0.001825873856432736,
0.006158634088933468,
-0.002950503723695874,
-0.000024965182092273608,
0.021421637386083603,
-0.03778878226876259,
0.04434916377067566,
0.051066722720861435,
-0.017391493543982506,
-0.0028633237816393375,
-0.09561619162559509,
0.07484401762485504,
-0.050825752317905426,
-0.000034697070077527314,
0.024190885946154594,
0.02323138155043125,
-0.007760327775031328,
0.002243232214823365,
-0.020815113559365273,
0.019956359639763832,
-0.06094677001237869,
-0.03344564139842987,
-0.031308211386203766,
-0.031092820689082146,
0.0008179661817848682,
0.061425890773534775,
0.015471301041543484,
0.029816297814249992,
0.028409799560904503,
-0.006628134287893772,
0.03872770443558693,
0.04123048111796379,
0.1530178040266037,
-0.052758555859327316,
0.09713198989629745,
-0.009349164552986622,
-0.008954647928476334,
-0.03431018069386482,
0.05137503519654274,
-0.05888988450169563,
0.006723886355757713,
0.10159886628389359,
0.03494672104716301,
-0.016116058453917503,
0.03314679488539696,
-0.0829075276851654,
0.003508720314130187,
-0.01616373285651207,
-0.05500781536102295,
-0.008022435009479523,
-0.1384105384349823,
-0.05761508643627167,
0.03060569241642952,
-0.10606216639280319,
0.04302189126610756,
0.011632909066975117,
-0.006200669799000025,
0.03545748442411423,
-0.04799952730536461,
-0.014493683353066444,
0.04244890809059143,
-0.05866095423698425,
-0.06375262886285782,
0.021375572308897972,
-0.00015310209710150957,
0.04644479230046272,
-0.05053149163722992,
-0.00890575721859932,
-3.391720706668749e-33,
-0.04629497230052948,
-0.04568567872047424,
-0.05292389169335365,
0.09630939364433289,
-0.019066333770751953,
-0.006673057097941637,
-0.009042546153068542,
-0.00832349807024002,
0.049376536160707474,
-0.038116902112960815,
-0.0655362531542778,
0.005159495864063501,
0.08039764314889908,
-0.002483491552993655,
0.013609001412987709,
-0.000034945886000059545,
-0.076642245054245,
0.018546609207987785,
-0.03427061811089516,
0.04248572140932083,
0.060507435351610184,
-0.05169089883565903,
-0.053590089082717896,
-0.0474260114133358,
0.013787762261927128,
0.045663513243198395,
-0.07329006493091583,
-0.07030946016311646,
-0.02595728635787964,
0.05813974142074585,
-0.03427779674530029,
-0.02934972569346428,
-0.0830690786242485,
0.012949301861226559,
0.03809265047311783,
-0.011073049157857895,
0.01542630884796381,
0.05685874819755554,
0.03698839247226715,
-0.018777228891849518,
0.05609346926212311,
0.01254292018711567,
0.07464771717786789,
-0.023520315065979958,
0.11811518669128418,
0.0008489029132761061,
-0.06554120779037476,
0.040046803653240204,
0.050633080303668976,
-0.025679592043161392,
0.06026357039809227,
-0.07076568156480789,
-0.01924108900129795,
-0.06612247228622437,
-0.014675869606435299,
0.09110989421606064,
0.046410348266363144,
0.041017793118953705,
-0.009813681244850159,
0.02824477292597294,
-0.07824309915304184,
-0.03937816619873047,
0.024060364812612534,
0.08110310882329941,
0.0010194145143032074,
-0.020944710820913315,
-0.08261732012033463,
0.05784942954778671,
-0.015878375619649887,
-0.04290046915411949,
-0.021797021850943565,
0.027840157970786095,
-0.0717422217130661,
0.009271051734685898,
-0.0829826220870018,
0.02718626894056797,
-0.001669660909101367,
0.00669567845761776,
-0.04291251674294472,
0.045063890516757965,
0.06809625774621964,
0.039665382355451584,
-0.00608563469722867,
0.03167109563946724,
-0.04663544148206711,
0.06604072451591492,
0.03820636868476868,
-0.017623310908675194,
-0.040416374802589417,
-0.07319625467061996,
-0.017330769449472427,
0.04109538346529007,
-0.04897524416446686,
0.03900124877691269,
-0.04249485582113266,
-4.434854261603505e-8,
0.0345948226749897,
-0.03271212428808212,
-0.014964981004595757,
0.0025546266697347164,
0.03635190427303314,
0.030201179906725883,
-0.010878600180149078,
-0.053097113966941833,
-0.05095930024981499,
0.01549216452986002,
0.05205860361456871,
-0.01961064338684082,
-0.04006734862923622,
0.025583311915397644,
0.02334454655647278,
0.07424602657556534,
-0.042187899351119995,
-0.048573680222034454,
-0.0522720031440258,
0.0326198972761631,
0.07054875046014786,
-0.024208512157201767,
-0.0574367456138134,
0.06378522515296936,
-0.042945511639118195,
-0.015289093367755413,
-0.022086016833782196,
0.005880771670490503,
-0.06145911663770676,
0.021904410794377327,
0.0632317066192627,
0.06233147531747818,
0.004337348975241184,
0.019762825220823288,
0.052907660603523254,
-0.05219530686736107,
0.07981748878955841,
0.024220796301960945,
-0.03696607053279877,
-0.058771762996912,
-0.008401724509894848,
0.05520544573664665,
-0.05465646833181381,
0.06037120893597603,
0.0827547162771225,
-0.02225819043815136,
0.004026619717478752,
-0.03722718730568886,
-0.06096338853240013,
-0.016351062804460526,
0.03401970490813255,
0.06066074222326279,
-0.003132567508146167,
-0.03756779059767723,
0.03568801283836365,
0.04163414612412453,
-0.049090612679719925,
-0.02703375741839409,
-0.03697984665632248,
0.05502075329422951,
0.04284520074725151,
0.1387309730052948,
0.1238676980137825,
0.019713934510946274
] | null | null | null | null | null | null | null |
[
-0.026236947625875473,
0.01789667084813118,
-0.07485055178403854,
-0.02944941259920597,
-0.036824263632297516,
-0.11011860519647598,
0.023153144866228104,
0.03411373496055603,
-0.0716429054737091,
0.06749292463064194,
-0.14499853551387787,
0.0025939904153347015,
0.03431161865592003,
-0.008046492002904415,
0.0026973295025527477,
0.006534206215292215,
-0.0771862044930458,
-0.062045712023973465,
-0.0063527110032737255,
-0.12169612944126129,
0.00880449078977108,
0.01072061900049448,
-0.0765172466635704,
0.014076302759349346,
-0.03933824226260185,
0.09469742327928543,
-0.0739249736070633,
-0.1165364608168602,
0.03288652002811432,
0.002157684648409486,
-0.11746852844953537,
0.057556670159101486,
0.12303987145423889,
0.015639005228877068,
-0.02085152082145214,
0.02249053493142128,
0.07299178093671799,
-0.0120641328394413,
0.04725184664130211,
0.009696642868220806,
-0.05853921175003052,
0.015143963508307934,
0.05460415780544281,
-0.053740739822387695,
-0.008395642042160034,
0.027541225776076317,
-0.03426008298993111,
-0.05348808318376541,
-0.11202134191989899,
0.043019555509090424,
-0.12712697684764862,
-0.04554633051156998,
-0.04524177312850952,
-0.07971686869859695,
0.021781878545880318,
0.0027640906628221273,
0.07829496264457703,
0.066062793135643,
-0.05910523608326912,
-0.10214528441429138,
-0.043045446276664734,
-0.0018459907732903957,
-0.015606154687702656,
0.04903433471918106,
0.08971904218196869,
0.007009771186858416,
0.00701780105009675,
0.01506589911878109,
0.006473253946751356,
0.03812861070036888,
-0.059785377234220505,
0.03972464054822922,
-0.08761288225650787,
0.06367615610361099,
0.044804178178310394,
-0.022372838109731674,
-0.012236334383487701,
0.035205185413360596,
-0.0020808777771890163,
0.032037414610385895,
-0.01092635840177536,
-0.016350075602531433,
-0.04766283929347992,
0.09756410866975784,
-0.06837987154722214,
0.03258250281214714,
-0.04214639589190483,
0.029299601912498474,
0.08819763362407684,
-0.09333444386720657,
-0.019856587052345276,
-0.08223087340593338,
-0.01401802059262991,
-0.006310995668172836,
0.0939604863524437,
-0.01213075127452612,
0.037399910390377045,
-0.07408280670642853,
-0.021582329645752907,
-0.0028192780446261168,
-0.04590669274330139,
0.08056537806987762,
0.0656769871711731,
-0.06077674776315689,
0.046732477843761444,
0.003394352737814188,
0.032151948660612106,
0.009462166577577591,
0.002702428726479411,
-0.07564424723386765,
0.014976871199905872,
0.01644498109817505,
0.02510569617152214,
-0.02358068898320198,
0.046223171055316925,
-0.007722212467342615,
-0.03905993700027466,
-0.0276725385338068,
0.03368385508656502,
0.02524416893720627,
0.09104123711585999,
0.004892269615083933,
-0.1210586205124855,
0.02103928104043007,
-0.018430491909384727,
-0.06422674655914307,
0.029617691412568092,
1.6088661719862182e-34,
0.007726342882961035,
0.09801457077264786,
-0.021679870784282684,
0.0603100061416626,
0.08458080142736435,
-0.024837663397192955,
0.03154516965150833,
0.0010969354771077633,
-0.009995990432798862,
-0.01761620305478573,
0.0117651904001832,
0.0719158872961998,
0.0021673808805644512,
0.012850159779191017,
0.030315754935145378,
0.01725834608078003,
0.02310536429286003,
0.009332455694675446,
0.010317225009202957,
-0.08739008754491806,
0.1291772574186325,
0.05591505765914917,
-0.04222739115357399,
-0.06020347774028778,
0.051555562764406204,
0.051433876156806946,
0.0010231052292510867,
-0.001825873856432736,
0.006158634088933468,
-0.002950503723695874,
-0.000024965182092273608,
0.021421637386083603,
-0.03778878226876259,
0.04434916377067566,
0.051066722720861435,
-0.017391493543982506,
-0.0028633237816393375,
-0.09561619162559509,
0.07484401762485504,
-0.050825752317905426,
-0.000034697070077527314,
0.024190885946154594,
0.02323138155043125,
-0.007760327775031328,
0.002243232214823365,
-0.020815113559365273,
0.019956359639763832,
-0.06094677001237869,
-0.03344564139842987,
-0.031308211386203766,
-0.031092820689082146,
0.0008179661817848682,
0.061425890773534775,
0.015471301041543484,
0.029816297814249992,
0.028409799560904503,
-0.006628134287893772,
0.03872770443558693,
0.04123048111796379,
0.1530178040266037,
-0.052758555859327316,
0.09713198989629745,
-0.009349164552986622,
-0.008954647928476334,
-0.03431018069386482,
0.05137503519654274,
-0.05888988450169563,
0.006723886355757713,
0.10159886628389359,
0.03494672104716301,
-0.016116058453917503,
0.03314679488539696,
-0.0829075276851654,
0.003508720314130187,
-0.01616373285651207,
-0.05500781536102295,
-0.008022435009479523,
-0.1384105384349823,
-0.05761508643627167,
0.03060569241642952,
-0.10606216639280319,
0.04302189126610756,
0.011632909066975117,
-0.006200669799000025,
0.03545748442411423,
-0.04799952730536461,
-0.014493683353066444,
0.04244890809059143,
-0.05866095423698425,
-0.06375262886285782,
0.021375572308897972,
-0.00015310209710150957,
0.04644479230046272,
-0.05053149163722992,
-0.00890575721859932,
-3.391720706668749e-33,
-0.04629497230052948,
-0.04568567872047424,
-0.05292389169335365,
0.09630939364433289,
-0.019066333770751953,
-0.006673057097941637,
-0.009042546153068542,
-0.00832349807024002,
0.049376536160707474,
-0.038116902112960815,
-0.0655362531542778,
0.005159495864063501,
0.08039764314889908,
-0.002483491552993655,
0.013609001412987709,
-0.000034945886000059545,
-0.076642245054245,
0.018546609207987785,
-0.03427061811089516,
0.04248572140932083,
0.060507435351610184,
-0.05169089883565903,
-0.053590089082717896,
-0.0474260114133358,
0.013787762261927128,
0.045663513243198395,
-0.07329006493091583,
-0.07030946016311646,
-0.02595728635787964,
0.05813974142074585,
-0.03427779674530029,
-0.02934972569346428,
-0.0830690786242485,
0.012949301861226559,
0.03809265047311783,
-0.011073049157857895,
0.01542630884796381,
0.05685874819755554,
0.03698839247226715,
-0.018777228891849518,
0.05609346926212311,
0.01254292018711567,
0.07464771717786789,
-0.023520315065979958,
0.11811518669128418,
0.0008489029132761061,
-0.06554120779037476,
0.040046803653240204,
0.050633080303668976,
-0.025679592043161392,
0.06026357039809227,
-0.07076568156480789,
-0.01924108900129795,
-0.06612247228622437,
-0.014675869606435299,
0.09110989421606064,
0.046410348266363144,
0.041017793118953705,
-0.009813681244850159,
0.02824477292597294,
-0.07824309915304184,
-0.03937816619873047,
0.024060364812612534,
0.08110310882329941,
0.0010194145143032074,
-0.020944710820913315,
-0.08261732012033463,
0.05784942954778671,
-0.015878375619649887,
-0.04290046915411949,
-0.021797021850943565,
0.027840157970786095,
-0.0717422217130661,
0.009271051734685898,
-0.0829826220870018,
0.02718626894056797,
-0.001669660909101367,
0.00669567845761776,
-0.04291251674294472,
0.045063890516757965,
0.06809625774621964,
0.039665382355451584,
-0.00608563469722867,
0.03167109563946724,
-0.04663544148206711,
0.06604072451591492,
0.03820636868476868,
-0.017623310908675194,
-0.040416374802589417,
-0.07319625467061996,
-0.017330769449472427,
0.04109538346529007,
-0.04897524416446686,
0.03900124877691269,
-0.04249485582113266,
-4.434854261603505e-8,
0.0345948226749897,
-0.03271212428808212,
-0.014964981004595757,
0.0025546266697347164,
0.03635190427303314,
0.030201179906725883,
-0.010878600180149078,
-0.053097113966941833,
-0.05095930024981499,
0.01549216452986002,
0.05205860361456871,
-0.01961064338684082,
-0.04006734862923622,
0.025583311915397644,
0.02334454655647278,
0.07424602657556534,
-0.042187899351119995,
-0.048573680222034454,
-0.0522720031440258,
0.0326198972761631,
0.07054875046014786,
-0.024208512157201767,
-0.0574367456138134,
0.06378522515296936,
-0.042945511639118195,
-0.015289093367755413,
-0.022086016833782196,
0.005880771670490503,
-0.06145911663770676,
0.021904410794377327,
0.0632317066192627,
0.06233147531747818,
0.004337348975241184,
0.019762825220823288,
0.052907660603523254,
-0.05219530686736107,
0.07981748878955841,
0.024220796301960945,
-0.03696607053279877,
-0.058771762996912,
-0.008401724509894848,
0.05520544573664665,
-0.05465646833181381,
0.06037120893597603,
0.0827547162771225,
-0.02225819043815136,
0.004026619717478752,
-0.03722718730568886,
-0.06096338853240013,
-0.016351062804460526,
0.03401970490813255,
0.06066074222326279,
-0.003132567508146167,
-0.03756779059767723,
0.03568801283836365,
0.04163414612412453,
-0.049090612679719925,
-0.02703375741839409,
-0.03697984665632248,
0.05502075329422951,
0.04284520074725151,
0.1387309730052948,
0.1238676980137825,
0.019713934510946274
] |
1402.2951
|
Andre Anders
|
Andr\'e Anders, Pavel Ni, and Joakim Andersson
|
Drifting Ionization Zone in Sputtering Magnetron Discharges at Very Low
Currents
|
The manuscript was submitted to the 7th Triennial Special Issue of
the IEEE Transactions on Plasma Science "Images in Plasma Science," scheduled
for publication in August 2014. The manuscript length is limited to 2 pages
| null |
10.1109/TPS.2014.2334601
| null |
physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Discharges with crossed electric and magnetic fields are known to develop
instabilities that are crucial in the transport of charged particles.
Sputtering magnetrons are no exception. While most recent studies focused on
traveling ionization zones in high power impulse magnetron sputtering, we show
here fast camera images of magnetron discharges at very low current. A single
drifting ionization zone is always present, even down to the threshold current
of about 10 mA.
|
[
{
"created": "Wed, 12 Feb 2014 19:49:47 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Anders",
"André",
""
],
[
"Ni",
"Pavel",
""
],
[
"Andersson",
"Joakim",
""
]
] |
[
-0.0017524121794849634,
-0.010314193554222584,
-0.024725450202822685,
0.005404869094491005,
0.06703973561525345,
-0.03548600897192955,
0.10626746714115143,
-0.027548352256417274,
-0.05586264282464981,
-0.02634306438267231,
0.0501454621553421,
-0.02536964789032936,
0.020750397816300392,
0.019252799451351166,
0.012410704046487808,
-0.0711403414607048,
0.016640249639749527,
-0.015378673560917377,
0.046049293130636215,
0.01085636019706726,
-0.015168707817792892,
-0.06156729534268379,
0.012376249767839909,
0.03275002911686897,
0.04214099422097206,
0.00002088586552417837,
0.07756161689758301,
-0.08307968825101852,
-0.07714992016553879,
-0.026923278346657753,
0.010421141050755978,
-0.0048434557393193245,
-0.08247663080692291,
-0.004003857262432575,
0.011855758726596832,
0.06055865064263344,
0.012798252515494823,
0.08236536383628845,
0.08403678238391876,
0.03688333183526993,
0.036805883049964905,
0.031307704746723175,
0.021808400750160217,
-0.0767044723033905,
0.017234694212675095,
-0.034061603248119354,
0.14726130664348602,
-0.08299269527196884,
0.036313511431217194,
0.01101701334118843,
-0.034758977591991425,
0.020438073202967644,
-0.028584755957126617,
-0.018365319818258286,
-0.02526118978857994,
0.003034168155863881,
0.012519622221589088,
-0.02230839431285858,
-0.0619661882519722,
0.036987606436014175,
-0.07020591199398041,
-0.013994880020618439,
0.06622567772865295,
0.0071815066039562225,
0.024691516533493996,
-0.022355815395712852,
0.05121863633394241,
0.10646671056747437,
0.04570120573043823,
-0.03557561710476875,
0.04089844971895218,
0.0468234047293663,
-0.09701596200466156,
-0.029854636639356613,
-0.057168226689100266,
0.0005463699344545603,
-0.018143141642212868,
0.005572088062763214,
0.018564557656645775,
-0.05516105890274048,
-0.02587839774787426,
-0.05503324791789055,
-0.07485787570476532,
-0.006718190852552652,
-0.03653104603290558,
0.03217864781618118,
-0.03490173816680908,
-0.036146730184555054,
-0.03016478754580021,
-0.006790163926780224,
0.016382085159420967,
-0.027231404557824135,
0.01016797311604023,
-0.007276430726051331,
-0.02567981369793415,
-0.045710887759923935,
0.031781502068042755,
0.0045325071550905704,
0.05268201604485512,
0.017837677150964737,
0.0644199401140213,
-0.017445243895053864,
0.018123997375369072,
0.06419546902179718,
0.0010065045207738876,
-0.014860352501273155,
0.07812971621751785,
-0.0018939041765406728,
-0.08338243514299393,
0.06363992393016815,
0.09184867888689041,
0.009179132990539074,
-0.07407252490520477,
-0.07180187851190567,
0.05602774769067764,
0.06240728124976158,
0.020585794001817703,
0.017729684710502625,
-0.03775334358215332,
0.010710361413657665,
-0.030647756531834602,
0.014290448278188705,
-0.04211585968732834,
0.022328561171889305,
0.05816065892577171,
-0.004744687117636204,
0.0066581005230546,
4.246624687243182e-33,
0.017426511272788048,
-0.037396278232336044,
0.018991390243172646,
0.018987296149134636,
-0.03329576924443245,
-0.043495528399944305,
0.022813457995653152,
0.02443663403391838,
0.01889096200466156,
0.032721325755119324,
-0.024029726162552834,
-0.012488101609051228,
0.06901358813047409,
-0.03544044867157936,
-0.03262423723936081,
-0.11671172827482224,
0.046200770884752274,
-0.047721218317747116,
-0.05237669497728348,
0.0706268772482872,
0.03754754737019539,
0.010996726341545582,
-0.008166387677192688,
-0.006323165725916624,
0.024576935917139053,
0.031638022512197495,
-0.011485186405479908,
-0.06189781427383423,
-0.00047088932478800416,
0.031383249908685684,
0.007062104996293783,
0.09427270293235779,
-0.023347768932580948,
0.019351230934262276,
-0.009426307864487171,
0.04061754792928696,
-0.06442276388406754,
-0.006404053885489702,
0.06672369688749313,
-0.01965005323290825,
0.006411461625248194,
0.010997826233506203,
-0.07588715851306915,
0.020159728825092316,
0.027081144973635674,
-0.033713340759277344,
0.026322204619646072,
-0.021757472306489944,
0.05661175400018692,
0.046455301344394684,
-0.012812834233045578,
-0.06816321611404419,
-0.01668686978518963,
-0.0026304307393729687,
0.03898189589381218,
0.0035349298268556595,
0.03262820467352867,
-0.07632441818714142,
0.057342369109392166,
0.03880715370178223,
0.046365924179553986,
0.021753516048192978,
-0.05067933723330498,
0.027692720293998718,
-0.05709235370159149,
-0.03587960824370384,
-0.04499296844005585,
0.039287012070417404,
0.033048201352357864,
-0.03544759377837181,
0.011254328303039074,
0.019609101116657257,
-0.04926423728466034,
-0.06072141230106354,
0.07347852736711502,
0.07065526396036148,
-0.049988072365522385,
0.05484428256750107,
0.03764024376869202,
-0.05370153859257698,
-0.11924120783805847,
-0.08660444617271423,
-0.005537003744393587,
0.003201855346560478,
-0.03601514920592308,
0.03900972008705139,
-0.04248545691370964,
0.01695130206644535,
-0.10540305078029633,
-0.058107540011405945,
0.04709011688828468,
0.05845565348863602,
0.03414382040500641,
-0.023799953982234,
-0.09309551864862442,
-4.8086814336171047e-33,
0.0077620311640203,
0.04158370941877365,
0.005688696168363094,
0.014310909435153008,
-0.12561166286468506,
0.10840620845556259,
0.04415207356214523,
0.09186221659183502,
-0.05163680762052536,
0.09259184449911118,
-0.1379930078983307,
0.04792751744389534,
-0.11301597207784653,
-0.03414895012974739,
-0.017602145671844482,
-0.016606496647000313,
0.1018129214644432,
-0.04629217088222504,
-0.0005726540111936629,
-0.07077936083078384,
0.021462269127368927,
0.002087240107357502,
0.06878659129142761,
-0.07448721677064896,
0.016871867701411247,
0.022784601897001266,
-0.06160455197095871,
-0.004780009388923645,
0.03609843552112579,
-0.05314522981643677,
-0.05643763393163681,
-0.038531187921762466,
0.03195110335946083,
-0.05748789384961128,
0.013260677456855774,
-0.11148585379123688,
0.026343578472733498,
0.03488693758845329,
-0.010252845473587513,
-0.07063568383455276,
-0.046235885471105576,
0.08489129692316055,
0.005133257247507572,
0.04296683520078659,
0.003223944688215852,
0.019879324361681938,
-0.09346511214971542,
0.05496825650334358,
0.02396003156900406,
0.056386131793260574,
-0.06535673141479492,
-0.03955816105008125,
-0.024937301874160767,
0.0613088496029377,
-0.04657759889960289,
0.049511030316352844,
-0.011156367138028145,
0.08180515468120575,
0.03716372698545456,
-0.02692692168056965,
-0.001829634071327746,
-0.03579292073845863,
-0.025217950344085693,
-0.07913615554571152,
-0.015515107661485672,
-0.041087958961725235,
0.03877662867307663,
0.09037983417510986,
-0.061545368283987045,
-0.01157168298959732,
0.04484458640217781,
0.03102397359907627,
-0.007867813110351562,
-0.05232508108019829,
-0.08542831987142563,
-0.04900774732232094,
0.11798273772001266,
-0.07207360863685608,
0.04391559213399887,
-0.07307077199220657,
0.10575050860643387,
-0.02941395342350006,
-0.10922635346651077,
-0.03499928116798401,
0.06527640670537949,
0.02214086428284645,
-0.03231453895568848,
-0.14174464344978333,
0.019415443763136864,
0.054496463388204575,
0.017384761944413185,
-0.02728128619492054,
0.07214490324258804,
-0.08685647696256638,
-0.04360605403780937,
-3.893611122407492e-8,
0.014617455191910267,
0.1048586294054985,
-0.001685072318650782,
0.05973339080810547,
0.047308869659900665,
-0.06116645783185959,
-0.02271091192960739,
0.03395961970090866,
0.09321853518486023,
-0.09665617346763611,
0.076288603246212,
-0.04188375920057297,
0.029709432274103165,
0.0014094033977016807,
0.05091690644621849,
0.03981691226363182,
0.0018688288982957602,
0.035899486392736435,
-0.029592882841825485,
0.05165589600801468,
-0.029984883964061737,
-0.03448403999209404,
-0.04656730964779854,
0.010102145373821259,
-0.011433218605816364,
0.04176808148622513,
0.0012072097742930055,
-0.0036969734355807304,
0.07686526328325272,
-0.11891978979110718,
-0.09125559031963348,
-0.004627136513590813,
0.12556713819503784,
0.01878977380692959,
0.022593246772885323,
-0.0032164710573852062,
-0.02821982465684414,
-0.005959005560725927,
0.016537988558411598,
0.025211039930582047,
-0.10440059006214142,
-0.11048177629709244,
0.09242717921733856,
-0.009702466428279877,
-0.036870259791612625,
0.015395982190966606,
-0.005446665454655886,
-0.04669314995408058,
-0.030235720798373222,
0.025209952145814896,
-0.027881111949682236,
0.004911331459879875,
0.06026638671755791,
0.01652550883591175,
0.0008930630283430219,
0.026517705991864204,
0.03568383306264877,
-0.05650578439235687,
0.05187039449810982,
0.011154288426041603,
0.09240573644638062,
-0.014077535830438137,
-0.10694336891174316,
0.0741259977221489
] | null | null | null | null | null | null | null |
[
-0.0017524121794849634,
-0.010314193554222584,
-0.024725450202822685,
0.005404869094491005,
0.06703973561525345,
-0.03548600897192955,
0.10626746714115143,
-0.027548352256417274,
-0.05586264282464981,
-0.02634306438267231,
0.0501454621553421,
-0.02536964789032936,
0.020750397816300392,
0.019252799451351166,
0.012410704046487808,
-0.0711403414607048,
0.016640249639749527,
-0.015378673560917377,
0.046049293130636215,
0.01085636019706726,
-0.015168707817792892,
-0.06156729534268379,
0.012376249767839909,
0.03275002911686897,
0.04214099422097206,
0.00002088586552417837,
0.07756161689758301,
-0.08307968825101852,
-0.07714992016553879,
-0.026923278346657753,
0.010421141050755978,
-0.0048434557393193245,
-0.08247663080692291,
-0.004003857262432575,
0.011855758726596832,
0.06055865064263344,
0.012798252515494823,
0.08236536383628845,
0.08403678238391876,
0.03688333183526993,
0.036805883049964905,
0.031307704746723175,
0.021808400750160217,
-0.0767044723033905,
0.017234694212675095,
-0.034061603248119354,
0.14726130664348602,
-0.08299269527196884,
0.036313511431217194,
0.01101701334118843,
-0.034758977591991425,
0.020438073202967644,
-0.028584755957126617,
-0.018365319818258286,
-0.02526118978857994,
0.003034168155863881,
0.012519622221589088,
-0.02230839431285858,
-0.0619661882519722,
0.036987606436014175,
-0.07020591199398041,
-0.013994880020618439,
0.06622567772865295,
0.0071815066039562225,
0.024691516533493996,
-0.022355815395712852,
0.05121863633394241,
0.10646671056747437,
0.04570120573043823,
-0.03557561710476875,
0.04089844971895218,
0.0468234047293663,
-0.09701596200466156,
-0.029854636639356613,
-0.057168226689100266,
0.0005463699344545603,
-0.018143141642212868,
0.005572088062763214,
0.018564557656645775,
-0.05516105890274048,
-0.02587839774787426,
-0.05503324791789055,
-0.07485787570476532,
-0.006718190852552652,
-0.03653104603290558,
0.03217864781618118,
-0.03490173816680908,
-0.036146730184555054,
-0.03016478754580021,
-0.006790163926780224,
0.016382085159420967,
-0.027231404557824135,
0.01016797311604023,
-0.007276430726051331,
-0.02567981369793415,
-0.045710887759923935,
0.031781502068042755,
0.0045325071550905704,
0.05268201604485512,
0.017837677150964737,
0.0644199401140213,
-0.017445243895053864,
0.018123997375369072,
0.06419546902179718,
0.0010065045207738876,
-0.014860352501273155,
0.07812971621751785,
-0.0018939041765406728,
-0.08338243514299393,
0.06363992393016815,
0.09184867888689041,
0.009179132990539074,
-0.07407252490520477,
-0.07180187851190567,
0.05602774769067764,
0.06240728124976158,
0.020585794001817703,
0.017729684710502625,
-0.03775334358215332,
0.010710361413657665,
-0.030647756531834602,
0.014290448278188705,
-0.04211585968732834,
0.022328561171889305,
0.05816065892577171,
-0.004744687117636204,
0.0066581005230546,
4.246624687243182e-33,
0.017426511272788048,
-0.037396278232336044,
0.018991390243172646,
0.018987296149134636,
-0.03329576924443245,
-0.043495528399944305,
0.022813457995653152,
0.02443663403391838,
0.01889096200466156,
0.032721325755119324,
-0.024029726162552834,
-0.012488101609051228,
0.06901358813047409,
-0.03544044867157936,
-0.03262423723936081,
-0.11671172827482224,
0.046200770884752274,
-0.047721218317747116,
-0.05237669497728348,
0.0706268772482872,
0.03754754737019539,
0.010996726341545582,
-0.008166387677192688,
-0.006323165725916624,
0.024576935917139053,
0.031638022512197495,
-0.011485186405479908,
-0.06189781427383423,
-0.00047088932478800416,
0.031383249908685684,
0.007062104996293783,
0.09427270293235779,
-0.023347768932580948,
0.019351230934262276,
-0.009426307864487171,
0.04061754792928696,
-0.06442276388406754,
-0.006404053885489702,
0.06672369688749313,
-0.01965005323290825,
0.006411461625248194,
0.010997826233506203,
-0.07588715851306915,
0.020159728825092316,
0.027081144973635674,
-0.033713340759277344,
0.026322204619646072,
-0.021757472306489944,
0.05661175400018692,
0.046455301344394684,
-0.012812834233045578,
-0.06816321611404419,
-0.01668686978518963,
-0.0026304307393729687,
0.03898189589381218,
0.0035349298268556595,
0.03262820467352867,
-0.07632441818714142,
0.057342369109392166,
0.03880715370178223,
0.046365924179553986,
0.021753516048192978,
-0.05067933723330498,
0.027692720293998718,
-0.05709235370159149,
-0.03587960824370384,
-0.04499296844005585,
0.039287012070417404,
0.033048201352357864,
-0.03544759377837181,
0.011254328303039074,
0.019609101116657257,
-0.04926423728466034,
-0.06072141230106354,
0.07347852736711502,
0.07065526396036148,
-0.049988072365522385,
0.05484428256750107,
0.03764024376869202,
-0.05370153859257698,
-0.11924120783805847,
-0.08660444617271423,
-0.005537003744393587,
0.003201855346560478,
-0.03601514920592308,
0.03900972008705139,
-0.04248545691370964,
0.01695130206644535,
-0.10540305078029633,
-0.058107540011405945,
0.04709011688828468,
0.05845565348863602,
0.03414382040500641,
-0.023799953982234,
-0.09309551864862442,
-4.8086814336171047e-33,
0.0077620311640203,
0.04158370941877365,
0.005688696168363094,
0.014310909435153008,
-0.12561166286468506,
0.10840620845556259,
0.04415207356214523,
0.09186221659183502,
-0.05163680762052536,
0.09259184449911118,
-0.1379930078983307,
0.04792751744389534,
-0.11301597207784653,
-0.03414895012974739,
-0.017602145671844482,
-0.016606496647000313,
0.1018129214644432,
-0.04629217088222504,
-0.0005726540111936629,
-0.07077936083078384,
0.021462269127368927,
0.002087240107357502,
0.06878659129142761,
-0.07448721677064896,
0.016871867701411247,
0.022784601897001266,
-0.06160455197095871,
-0.004780009388923645,
0.03609843552112579,
-0.05314522981643677,
-0.05643763393163681,
-0.038531187921762466,
0.03195110335946083,
-0.05748789384961128,
0.013260677456855774,
-0.11148585379123688,
0.026343578472733498,
0.03488693758845329,
-0.010252845473587513,
-0.07063568383455276,
-0.046235885471105576,
0.08489129692316055,
0.005133257247507572,
0.04296683520078659,
0.003223944688215852,
0.019879324361681938,
-0.09346511214971542,
0.05496825650334358,
0.02396003156900406,
0.056386131793260574,
-0.06535673141479492,
-0.03955816105008125,
-0.024937301874160767,
0.0613088496029377,
-0.04657759889960289,
0.049511030316352844,
-0.011156367138028145,
0.08180515468120575,
0.03716372698545456,
-0.02692692168056965,
-0.001829634071327746,
-0.03579292073845863,
-0.025217950344085693,
-0.07913615554571152,
-0.015515107661485672,
-0.041087958961725235,
0.03877662867307663,
0.09037983417510986,
-0.061545368283987045,
-0.01157168298959732,
0.04484458640217781,
0.03102397359907627,
-0.007867813110351562,
-0.05232508108019829,
-0.08542831987142563,
-0.04900774732232094,
0.11798273772001266,
-0.07207360863685608,
0.04391559213399887,
-0.07307077199220657,
0.10575050860643387,
-0.02941395342350006,
-0.10922635346651077,
-0.03499928116798401,
0.06527640670537949,
0.02214086428284645,
-0.03231453895568848,
-0.14174464344978333,
0.019415443763136864,
0.054496463388204575,
0.017384761944413185,
-0.02728128619492054,
0.07214490324258804,
-0.08685647696256638,
-0.04360605403780937,
-3.893611122407492e-8,
0.014617455191910267,
0.1048586294054985,
-0.001685072318650782,
0.05973339080810547,
0.047308869659900665,
-0.06116645783185959,
-0.02271091192960739,
0.03395961970090866,
0.09321853518486023,
-0.09665617346763611,
0.076288603246212,
-0.04188375920057297,
0.029709432274103165,
0.0014094033977016807,
0.05091690644621849,
0.03981691226363182,
0.0018688288982957602,
0.035899486392736435,
-0.029592882841825485,
0.05165589600801468,
-0.029984883964061737,
-0.03448403999209404,
-0.04656730964779854,
0.010102145373821259,
-0.011433218605816364,
0.04176808148622513,
0.0012072097742930055,
-0.0036969734355807304,
0.07686526328325272,
-0.11891978979110718,
-0.09125559031963348,
-0.004627136513590813,
0.12556713819503784,
0.01878977380692959,
0.022593246772885323,
-0.0032164710573852062,
-0.02821982465684414,
-0.005959005560725927,
0.016537988558411598,
0.025211039930582047,
-0.10440059006214142,
-0.11048177629709244,
0.09242717921733856,
-0.009702466428279877,
-0.036870259791612625,
0.015395982190966606,
-0.005446665454655886,
-0.04669314995408058,
-0.030235720798373222,
0.025209952145814896,
-0.027881111949682236,
0.004911331459879875,
0.06026638671755791,
0.01652550883591175,
0.0008930630283430219,
0.026517705991864204,
0.03568383306264877,
-0.05650578439235687,
0.05187039449810982,
0.011154288426041603,
0.09240573644638062,
-0.014077535830438137,
-0.10694336891174316,
0.0741259977221489
] |
1402.2958
|
Stephen Eckel
|
Stephen Eckel, Jeffrey G. Lee, Fred Jendrzejewski, Noel Murray,
Charles W. Clark, Christopher J. Lobb, William D. Phillips, Mark Edwards and
Gretchen K. Campbell
|
Hysteresis in a quantized, superfluid atomtronic circuit
|
20 pages, 4 figures
|
Nature 506, 200-203 (2014)
|
10.1038/nature12958
| null |
cond-mat.quant-gas physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Atomtronics is an emerging interdisciplinary field that seeks new
functionality by creating devices and circuits where ultra-cold atoms, often
superfluids, play a role analogous to the electrons in electronics. Hysteresis
is widely used in electronic circuits, e.g., it is routinely observed in
superconducting circuits and is essential in rf-superconducting quantum
interference devices [SQUIDs]. Furthermore, hysteresis is as fundamental to
superfluidity (and superconductivity) as quantized persistent currents,
critical velocity, and Josephson effects. Nevertheless, in spite of multiple
theoretical predictions, hysteresis has not been previously observed in any
superfluid, atomic-gas Bose-Einstein condensate (BEC). Here we demonstrate
hysteresis in a quantized atomtronic circuit: a ring of superfluid BEC
obstructed by a rotating weak link. We directly detect hysteresis between
quantized circulation states, in contrast to superfluid liquid helium
experiments that observed hysteresis directly in systems where the quantization
of flow could not be observed and indirectly in systems that showed quantized
flow. Our techniques allow us to tune the size of the hysteresis loop and to
consider the fundamental excitations that accompany hysteresis. The results
suggest that the relevant excitations involved in hysteresis are vortices and
indicate that dissipation plays an important role in the dynamics. Controlled
hysteresis in atomtronic circuits may prove to be a crucial feature for the
development of practical devices, just as it has in electronic circuits like
memory, digital noise filters (e.g., Schmitt triggers), and magnetometers
(e.g., SQUIDs).
|
[
{
"created": "Wed, 12 Feb 2014 20:21:10 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2014 17:30:52 GMT",
"version": "v2"
}
] |
2014-10-02
|
[
[
"Eckel",
"Stephen",
""
],
[
"Lee",
"Jeffrey G.",
""
],
[
"Jendrzejewski",
"Fred",
""
],
[
"Murray",
"Noel",
""
],
[
"Clark",
"Charles W.",
""
],
[
"Lobb",
"Christopher J.",
""
],
[
"Phillips",
"William D.",
""
],
[
"Edwards",
"Mark",
""
],
[
"Campbell",
"Gretchen K.",
""
]
] |
[
-0.07207924127578735,
0.017657224088907242,
-0.08860430866479874,
0.06689019501209259,
0.04183538630604744,
0.059846315532922745,
-0.015134582296013832,
0.030476028099656105,
-0.022882705554366112,
-0.0010798240546137094,
-0.023230211809277534,
-0.04345473274588585,
-0.010171009227633476,
0.00971812941133976,
-0.048118382692337036,
-0.0037063625641167164,
0.015863217413425446,
-0.04907866194844246,
-0.052686650305986404,
-0.061164382845163345,
0.10472742468118668,
-0.021217994391918182,
0.027183275669813156,
0.0646694228053093,
-0.03726108744740486,
0.04995157569646835,
0.01843327097594738,
-0.05624097213149071,
-0.06634562462568283,
0.02739262580871582,
-0.09038538485765457,
-0.017681032419204712,
-0.014165184460580349,
0.028397846966981888,
-0.025651410222053528,
0.06479469686746597,
-0.013606869615614414,
-0.0006983565399423242,
0.07198159396648407,
-0.0650891363620758,
0.023915350437164307,
0.001217961311340332,
-0.018793785944581032,
0.06590889394283295,
0.023853471502661705,
0.04069513827562332,
0.06416172534227371,
0.013342393562197685,
-0.021920787170529366,
0.03785504028201103,
-0.003426003037020564,
0.04246435686945915,
0.06405755132436752,
0.07029329985380173,
0.0641995370388031,
0.06810170412063599,
0.038823097944259644,
0.001354029169306159,
-0.04343860223889351,
-0.03607574477791786,
-0.05269509553909302,
-0.021823085844516754,
0.09119317680597305,
-0.018733706325292587,
0.028936078771948814,
0.030524279922246933,
-0.09697189182043076,
0.052345823496580124,
0.029968760907649994,
-0.01740691065788269,
0.08580222725868225,
-0.0064264764077961445,
-0.00547954672947526,
0.03308575600385666,
0.1244121715426445,
-0.03264329209923744,
0.006289585959166288,
0.032017771154642105,
0.008656001649796963,
0.011086796410381794,
-0.0005513959913514555,
-0.1494012326002121,
-0.04085349664092064,
-0.018557311967015266,
0.0012667198898270726,
0.0034644659608602524,
0.00845517497509718,
-0.10704324394464493,
-0.062041230499744415,
-0.05340716615319252,
0.0005430805613286793,
-0.07103496044874191,
-0.02239356003701687,
-0.11675137281417847,
0.06345514953136444,
-0.033735472708940506,
0.04282921552658081,
0.031803566962480545,
-0.04050413519144058,
-0.009957218542695045,
0.07963195443153381,
-0.02986476942896843,
-0.05101422592997551,
0.0864744707942009,
0.03393326327204704,
-0.010494550690054893,
0.09691080451011658,
0.01805661804974079,
0.025565816089510918,
0.025667916983366013,
-0.009472555480897427,
0.017871825024485588,
0.04558819904923439,
-0.04576221853494644,
0.01453712210059166,
-0.01091553084552288,
-0.030127985402941704,
0.08833684027194977,
-0.08471586555242538,
0.012995150871574879,
-0.033621981739997864,
0.09347784519195557,
0.013471381738781929,
-0.019009316340088844,
0.048017535358667374,
0.01782192289829254,
-0.09229092299938202,
2.9836072514914902e-33,
0.08252286911010742,
0.022899800911545753,
0.03461725637316704,
0.0491366945207119,
-0.018842745572328568,
-0.07886261492967606,
0.03406662866473198,
0.024418406188488007,
0.028752638027071953,
0.033619754016399384,
0.025833657011389732,
0.0443108007311821,
-0.025397460907697678,
-0.008793210610747337,
-0.005245612468570471,
-0.08183746784925461,
-0.08582866191864014,
-0.11466313153505325,
0.011272403411567211,
0.07361529767513275,
0.036140140146017075,
0.003502307925373316,
-0.026673661544919014,
0.01892649009823799,
-0.033833421766757965,
-0.03662460297346115,
0.07166607677936554,
0.040714215487241745,
0.014477967284619808,
0.005957627668976784,
-0.02272823080420494,
0.01286912802606821,
-0.04047096520662308,
-0.037091583013534546,
0.02239220030605793,
-0.02463579550385475,
-0.03628023341298103,
0.03440207615494728,
-0.005539018660783768,
-0.08124018460512161,
-0.02152344398200512,
-0.04365355521440506,
-0.057379767298698425,
0.03677972033619881,
-0.009633944369852543,
-0.024490686133503914,
0.053461335599422455,
0.02806883305311203,
0.01699744537472725,
-0.07434392720460892,
0.0495399609208107,
-0.09064359217882156,
0.002289661904796958,
0.01735028438270092,
0.09522511810064316,
-0.05640794336795807,
0.07390199601650238,
-0.037127718329429626,
0.020153671503067017,
0.027983343228697777,
-0.012045853771269321,
-0.007876034826040268,
-0.006293632555752993,
0.05457696691155434,
-0.07874316722154617,
0.06290430575609207,
-0.09683528542518616,
-0.010466710664331913,
0.0013099395437166095,
0.02584507130086422,
-0.007981750182807446,
0.057464275509119034,
0.04706810414791107,
-0.04811360314488411,
-0.0031565590761601925,
0.07965108752250671,
0.03926664963364601,
-0.04256743565201759,
0.03632049262523651,
-0.01821553148329258,
0.0630502998828888,
-0.14229939877986908,
0.06544608622789383,
0.08040037751197815,
-0.024931980296969414,
-0.12101446837186813,
-0.09588418155908585,
-0.07862095534801483,
-0.02113846316933632,
-0.01210012286901474,
0.010310003533959389,
-0.04272313788533211,
0.10605626553297043,
-0.04360176622867584,
-0.0976424440741539,
-4.5855645243073726e-33,
-0.03226197883486748,
0.006278859917074442,
0.008911198936402798,
0.03926563635468483,
-0.004010171629488468,
0.0252384003251791,
0.025075484067201614,
-0.017757631838321686,
0.049570295959711075,
-0.07916893064975739,
0.0019160599913448095,
0.04703069105744362,
-0.0015125899808481336,
0.012152271345257759,
0.002302495064213872,
0.03557485342025757,
0.0001993050245800987,
-0.05750217288732529,
0.10630980879068375,
0.041458118706941605,
0.021099654957652092,
0.0390864796936512,
-0.029082315042614937,
-0.06689353287220001,
0.01897306926548481,
0.056105710566043854,
0.009468404576182365,
0.035341713577508926,
0.0494355782866478,
0.030026918277144432,
0.013423237018287182,
-0.021597161889076233,
0.03500267490744591,
0.03931358456611633,
-0.05610724538564682,
0.02077808976173401,
0.017927542328834534,
0.028671151027083397,
-0.0552375391125679,
-0.06226059049367905,
-0.05107240751385689,
-0.04085690900683403,
-0.04623742401599884,
0.07880592346191406,
0.0471109114587307,
0.08814878761768341,
-0.054623380303382874,
-0.018462076783180237,
-0.026440788060426712,
0.02950908988714218,
-0.0923028364777565,
-0.021828554570674896,
-0.026061082258820534,
-0.0004738935094792396,
-0.04176756739616394,
-0.010430931113660336,
-0.10175880044698715,
0.06649517267942429,
0.09311676770448685,
-0.026573041453957558,
0.048005037009716034,
-0.026522785425186157,
0.0042552161030471325,
-0.09948479384183884,
-0.06523784250020981,
-0.09951474517583847,
-0.06183697655797005,
-0.006673102732747793,
0.051765937358140945,
-0.012773606926202774,
0.025250639766454697,
0.007092461455613375,
0.08706646412611008,
-0.03783828020095825,
-0.02405088022351265,
0.050668541342020035,
0.06933131814002991,
-0.08581020683050156,
-0.006480046547949314,
0.05400031805038452,
-0.061895567923784256,
0.10829351097345352,
-0.03834293410181999,
-0.09667656570672989,
0.042751725763082504,
0.0293282438069582,
-0.015577412210404873,
-0.004265310242772102,
0.006446639075875282,
0.029405197128653526,
-0.0848844051361084,
0.029564600437879562,
0.02339218370616436,
-0.06080818921327591,
-0.004159498959779739,
-4.758143745675625e-8,
0.0065257130190730095,
0.08568783104419708,
0.012742395512759686,
-0.00555056007578969,
0.09485607594251633,
0.007054924964904785,
-0.030680915340781212,
0.02530258521437645,
0.001584294717758894,
-0.04414120689034462,
-0.019146166741847992,
0.024070100858807564,
-0.031572483479976654,
-0.11933673918247223,
0.1043810248374939,
-0.0503227636218071,
0.011760891415178776,
0.013581031933426857,
-0.0015693018212914467,
-0.011760574765503407,
-0.009032956324517727,
0.04344276711344719,
-0.03920108824968338,
-0.0723690539598465,
-0.010213618166744709,
-0.08691443502902985,
0.07912604510784149,
-0.08916328102350235,
-0.05188985541462898,
-0.018658002838492393,
-0.09290888160467148,
-0.02265380695462227,
0.08048319816589355,
0.02333395555615425,
-0.005198237951844931,
0.005677463486790657,
-0.09958994388580322,
0.10649373382329941,
0.058114126324653625,
-0.007912355475127697,
-0.0012792181223630905,
0.07526659220457077,
-0.09412061423063278,
0.06193546578288078,
-0.02084365300834179,
-0.05504293739795685,
-0.04862821474671364,
0.0630640760064125,
0.05453100427985191,
0.04485185071825981,
-0.05912759155035019,
0.017544899135828018,
-0.018913516774773598,
-0.02117500640451908,
0.04870907589793205,
0.040037691593170166,
-0.029728557914495468,
0.010387667454779148,
-0.05218816548585892,
0.016178036108613014,
-0.018860436975955963,
-0.05360807850956917,
-0.04926982522010803,
0.025565391406416893
] | null | null | null | null | null | null | null |
[
-0.07207924127578735,
0.017657224088907242,
-0.08860430866479874,
0.06689019501209259,
0.04183538630604744,
0.059846315532922745,
-0.015134582296013832,
0.030476028099656105,
-0.022882705554366112,
-0.0010798240546137094,
-0.023230211809277534,
-0.04345473274588585,
-0.010171009227633476,
0.00971812941133976,
-0.048118382692337036,
-0.0037063625641167164,
0.015863217413425446,
-0.04907866194844246,
-0.052686650305986404,
-0.061164382845163345,
0.10472742468118668,
-0.021217994391918182,
0.027183275669813156,
0.0646694228053093,
-0.03726108744740486,
0.04995157569646835,
0.01843327097594738,
-0.05624097213149071,
-0.06634562462568283,
0.02739262580871582,
-0.09038538485765457,
-0.017681032419204712,
-0.014165184460580349,
0.028397846966981888,
-0.025651410222053528,
0.06479469686746597,
-0.013606869615614414,
-0.0006983565399423242,
0.07198159396648407,
-0.0650891363620758,
0.023915350437164307,
0.001217961311340332,
-0.018793785944581032,
0.06590889394283295,
0.023853471502661705,
0.04069513827562332,
0.06416172534227371,
0.013342393562197685,
-0.021920787170529366,
0.03785504028201103,
-0.003426003037020564,
0.04246435686945915,
0.06405755132436752,
0.07029329985380173,
0.0641995370388031,
0.06810170412063599,
0.038823097944259644,
0.001354029169306159,
-0.04343860223889351,
-0.03607574477791786,
-0.05269509553909302,
-0.021823085844516754,
0.09119317680597305,
-0.018733706325292587,
0.028936078771948814,
0.030524279922246933,
-0.09697189182043076,
0.052345823496580124,
0.029968760907649994,
-0.01740691065788269,
0.08580222725868225,
-0.0064264764077961445,
-0.00547954672947526,
0.03308575600385666,
0.1244121715426445,
-0.03264329209923744,
0.006289585959166288,
0.032017771154642105,
0.008656001649796963,
0.011086796410381794,
-0.0005513959913514555,
-0.1494012326002121,
-0.04085349664092064,
-0.018557311967015266,
0.0012667198898270726,
0.0034644659608602524,
0.00845517497509718,
-0.10704324394464493,
-0.062041230499744415,
-0.05340716615319252,
0.0005430805613286793,
-0.07103496044874191,
-0.02239356003701687,
-0.11675137281417847,
0.06345514953136444,
-0.033735472708940506,
0.04282921552658081,
0.031803566962480545,
-0.04050413519144058,
-0.009957218542695045,
0.07963195443153381,
-0.02986476942896843,
-0.05101422592997551,
0.0864744707942009,
0.03393326327204704,
-0.010494550690054893,
0.09691080451011658,
0.01805661804974079,
0.025565816089510918,
0.025667916983366013,
-0.009472555480897427,
0.017871825024485588,
0.04558819904923439,
-0.04576221853494644,
0.01453712210059166,
-0.01091553084552288,
-0.030127985402941704,
0.08833684027194977,
-0.08471586555242538,
0.012995150871574879,
-0.033621981739997864,
0.09347784519195557,
0.013471381738781929,
-0.019009316340088844,
0.048017535358667374,
0.01782192289829254,
-0.09229092299938202,
2.9836072514914902e-33,
0.08252286911010742,
0.022899800911545753,
0.03461725637316704,
0.0491366945207119,
-0.018842745572328568,
-0.07886261492967606,
0.03406662866473198,
0.024418406188488007,
0.028752638027071953,
0.033619754016399384,
0.025833657011389732,
0.0443108007311821,
-0.025397460907697678,
-0.008793210610747337,
-0.005245612468570471,
-0.08183746784925461,
-0.08582866191864014,
-0.11466313153505325,
0.011272403411567211,
0.07361529767513275,
0.036140140146017075,
0.003502307925373316,
-0.026673661544919014,
0.01892649009823799,
-0.033833421766757965,
-0.03662460297346115,
0.07166607677936554,
0.040714215487241745,
0.014477967284619808,
0.005957627668976784,
-0.02272823080420494,
0.01286912802606821,
-0.04047096520662308,
-0.037091583013534546,
0.02239220030605793,
-0.02463579550385475,
-0.03628023341298103,
0.03440207615494728,
-0.005539018660783768,
-0.08124018460512161,
-0.02152344398200512,
-0.04365355521440506,
-0.057379767298698425,
0.03677972033619881,
-0.009633944369852543,
-0.024490686133503914,
0.053461335599422455,
0.02806883305311203,
0.01699744537472725,
-0.07434392720460892,
0.0495399609208107,
-0.09064359217882156,
0.002289661904796958,
0.01735028438270092,
0.09522511810064316,
-0.05640794336795807,
0.07390199601650238,
-0.037127718329429626,
0.020153671503067017,
0.027983343228697777,
-0.012045853771269321,
-0.007876034826040268,
-0.006293632555752993,
0.05457696691155434,
-0.07874316722154617,
0.06290430575609207,
-0.09683528542518616,
-0.010466710664331913,
0.0013099395437166095,
0.02584507130086422,
-0.007981750182807446,
0.057464275509119034,
0.04706810414791107,
-0.04811360314488411,
-0.0031565590761601925,
0.07965108752250671,
0.03926664963364601,
-0.04256743565201759,
0.03632049262523651,
-0.01821553148329258,
0.0630502998828888,
-0.14229939877986908,
0.06544608622789383,
0.08040037751197815,
-0.024931980296969414,
-0.12101446837186813,
-0.09588418155908585,
-0.07862095534801483,
-0.02113846316933632,
-0.01210012286901474,
0.010310003533959389,
-0.04272313788533211,
0.10605626553297043,
-0.04360176622867584,
-0.0976424440741539,
-4.5855645243073726e-33,
-0.03226197883486748,
0.006278859917074442,
0.008911198936402798,
0.03926563635468483,
-0.004010171629488468,
0.0252384003251791,
0.025075484067201614,
-0.017757631838321686,
0.049570295959711075,
-0.07916893064975739,
0.0019160599913448095,
0.04703069105744362,
-0.0015125899808481336,
0.012152271345257759,
0.002302495064213872,
0.03557485342025757,
0.0001993050245800987,
-0.05750217288732529,
0.10630980879068375,
0.041458118706941605,
0.021099654957652092,
0.0390864796936512,
-0.029082315042614937,
-0.06689353287220001,
0.01897306926548481,
0.056105710566043854,
0.009468404576182365,
0.035341713577508926,
0.0494355782866478,
0.030026918277144432,
0.013423237018287182,
-0.021597161889076233,
0.03500267490744591,
0.03931358456611633,
-0.05610724538564682,
0.02077808976173401,
0.017927542328834534,
0.028671151027083397,
-0.0552375391125679,
-0.06226059049367905,
-0.05107240751385689,
-0.04085690900683403,
-0.04623742401599884,
0.07880592346191406,
0.0471109114587307,
0.08814878761768341,
-0.054623380303382874,
-0.018462076783180237,
-0.026440788060426712,
0.02950908988714218,
-0.0923028364777565,
-0.021828554570674896,
-0.026061082258820534,
-0.0004738935094792396,
-0.04176756739616394,
-0.010430931113660336,
-0.10175880044698715,
0.06649517267942429,
0.09311676770448685,
-0.026573041453957558,
0.048005037009716034,
-0.026522785425186157,
0.0042552161030471325,
-0.09948479384183884,
-0.06523784250020981,
-0.09951474517583847,
-0.06183697655797005,
-0.006673102732747793,
0.051765937358140945,
-0.012773606926202774,
0.025250639766454697,
0.007092461455613375,
0.08706646412611008,
-0.03783828020095825,
-0.02405088022351265,
0.050668541342020035,
0.06933131814002991,
-0.08581020683050156,
-0.006480046547949314,
0.05400031805038452,
-0.061895567923784256,
0.10829351097345352,
-0.03834293410181999,
-0.09667656570672989,
0.042751725763082504,
0.0293282438069582,
-0.015577412210404873,
-0.004265310242772102,
0.006446639075875282,
0.029405197128653526,
-0.0848844051361084,
0.029564600437879562,
0.02339218370616436,
-0.06080818921327591,
-0.004159498959779739,
-4.758143745675625e-8,
0.0065257130190730095,
0.08568783104419708,
0.012742395512759686,
-0.00555056007578969,
0.09485607594251633,
0.007054924964904785,
-0.030680915340781212,
0.02530258521437645,
0.001584294717758894,
-0.04414120689034462,
-0.019146166741847992,
0.024070100858807564,
-0.031572483479976654,
-0.11933673918247223,
0.1043810248374939,
-0.0503227636218071,
0.011760891415178776,
0.013581031933426857,
-0.0015693018212914467,
-0.011760574765503407,
-0.009032956324517727,
0.04344276711344719,
-0.03920108824968338,
-0.0723690539598465,
-0.010213618166744709,
-0.08691443502902985,
0.07912604510784149,
-0.08916328102350235,
-0.05188985541462898,
-0.018658002838492393,
-0.09290888160467148,
-0.02265380695462227,
0.08048319816589355,
0.02333395555615425,
-0.005198237951844931,
0.005677463486790657,
-0.09958994388580322,
0.10649373382329941,
0.058114126324653625,
-0.007912355475127697,
-0.0012792181223630905,
0.07526659220457077,
-0.09412061423063278,
0.06193546578288078,
-0.02084365300834179,
-0.05504293739795685,
-0.04862821474671364,
0.0630640760064125,
0.05453100427985191,
0.04485185071825981,
-0.05912759155035019,
0.017544899135828018,
-0.018913516774773598,
-0.02117500640451908,
0.04870907589793205,
0.040037691593170166,
-0.029728557914495468,
0.010387667454779148,
-0.05218816548585892,
0.016178036108613014,
-0.018860436975955963,
-0.05360807850956917,
-0.04926982522010803,
0.025565391406416893
] |
1402.2959
|
Sebastien Verel
|
Gabriela Ochoa, S\'ebastien Verel (LISIC), Fabio Daolio (ISI), Marco
Tomassini (ISI)
|
Local Optima Networks: A New Model of Combinatorial Fitness Landscapes
| null |
Recent Advances in the Theory and Application of Fitness
Landscapes, Hendrik Richter, Andries Engelbrecht (Ed.) (2014) 233-262
|
10.1007/978-3-642-41888-4_9
| null |
cs.NE cs.AI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This chapter overviews a recently introduced network-based model of
combinatorial landscapes: Local Optima Networks (LON). The model compresses the
information given by the whole search space into a smaller mathematical object
that is a graph having as vertices the local optima and as edges the possible
weighted transitions between them. Two definitions of edges have been proposed:
basin-transition and escape-edges, which capture relevant topological features
of the underlying search spaces. This network model brings a new set of metrics
to characterize the structure of combinatorial landscapes, those associated
with the science of complex networks. These metrics are described, and results
are presented of local optima network extraction and analysis for two selected
combinatorial landscapes: NK landscapes and the quadratic assignment problem.
Network features are found to correlate with and even predict the performance
of heuristic search algorithms operating on these problems.
|
[
{
"created": "Wed, 12 Feb 2014 20:21:54 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Ochoa",
"Gabriela",
"",
"LISIC"
],
[
"Verel",
"Sébastien",
"",
"LISIC"
],
[
"Daolio",
"Fabio",
"",
"ISI"
],
[
"Tomassini",
"Marco",
"",
"ISI"
]
] |
[
0.02864026091992855,
0.0325763113796711,
0.009553586132824421,
-0.013972986489534378,
0.018504245206713676,
-0.030882399529218674,
0.006262860260903835,
-0.06879319995641708,
0.05454938858747482,
-0.006874606013298035,
0.00006581585330422968,
-0.02745319902896881,
0.0534091480076313,
0.09542407095432281,
-0.05470557138323784,
0.03957819193601608,
0.007772049400955439,
0.02122153900563717,
0.056510988622903824,
-0.05497235432267189,
0.03511252999305725,
-0.02686641737818718,
-0.0781518891453743,
-0.0636763721704483,
0.03216968849301338,
0.030927380546927452,
-0.035952210426330566,
0.017970530316233635,
0.06026812642812729,
0.028096262365579605,
0.039921559393405914,
0.07442110776901245,
0.02241489663720131,
-0.0021748372819274664,
0.05085493624210358,
0.06364224851131439,
-0.127775639295578,
0.04198724403977394,
0.04189503192901611,
0.053526684641838074,
0.030313262715935707,
0.042942848056554794,
0.04305432736873627,
-0.03688739985227585,
0.045580532401800156,
0.08749092370271683,
-0.08740975707769394,
0.05048879235982895,
-0.042026616632938385,
-0.0609615258872509,
-0.06326582282781601,
0.012760782614350319,
-0.07763242721557617,
0.01973644271492958,
0.11198819428682327,
0.012617789208889008,
-0.019873574376106262,
-0.023482810705900192,
0.031051959842443466,
0.027661535888910294,
0.08428898453712463,
-0.011868195608258247,
-0.03977316617965698,
0.010058194398880005,
0.058581363409757614,
0.06681647896766663,
-0.04177497699856758,
0.022316949442029,
-0.015354315750300884,
0.013118009082973003,
0.06947911530733109,
0.014759828336536884,
-0.10050278156995773,
0.007974186912178993,
0.10841073840856552,
0.10814253985881805,
0.06822855025529861,
0.050218138843774796,
-0.05890418589115143,
-0.01887110061943531,
-0.001014180714264512,
0.0005439714877866209,
0.006616832222789526,
-0.008453971706330776,
-0.01703283004462719,
-0.00878969207406044,
-0.022735465317964554,
-0.046373698860406876,
0.12604254484176636,
0.006278568878769875,
-0.06187816709280014,
0.008441700600087643,
0.024158556014299393,
-0.037661902606487274,
0.014171145856380463,
-0.020717637613415718,
-0.03245823085308075,
-0.017559979110956192,
0.020505724474787712,
0.029959745705127716,
-0.012500865384936333,
-0.08099417388439178,
0.07628973573446274,
-0.08209958672523499,
0.03680327907204628,
0.03233221918344498,
0.048969611525535583,
0.015626918524503708,
0.09405384957790375,
0.01463520061224699,
-0.039036672562360764,
0.02588951587677002,
-0.0026884563267230988,
-0.0008780611678957939,
-0.0761897936463356,
-0.03952694311738014,
0.01961839385330677,
0.024818141013383865,
0.010695273987948895,
0.12856967747211456,
-0.07140246033668518,
-0.007204496767371893,
-0.000906944100279361,
-0.06433308124542236,
0.04776771366596222,
0.03796925023198128,
-0.08305864036083221,
1.2187655835730021e-33,
0.019598158076405525,
-0.017308589071035385,
0.00368353258818388,
0.007742313202470541,
0.05870777368545532,
-0.06564684212207794,
-0.0012184081133455038,
-0.09331142157316208,
0.030661458149552345,
0.02491449937224388,
-0.09092706441879272,
0.05490650236606598,
0.007710866630077362,
0.034226011484861374,
0.06291277706623077,
-0.05040188878774643,
0.06969239562749863,
-0.08047062903642654,
-0.011565378867089748,
-0.02504887990653515,
0.057924844324588776,
-0.050825681537389755,
0.057741615921258926,
-0.0045870449393987656,
0.026008546352386475,
-0.03824921324849129,
-0.043056242167949677,
-0.05602877587080002,
0.0147349052131176,
-0.003888488980010152,
-0.09428760409355164,
0.02279984951019287,
-0.004066233988851309,
0.002361346036195755,
0.01260355394333601,
0.07362200319766998,
0.0068733044900000095,
-0.005724131129682064,
0.03285669535398483,
0.02225148119032383,
-0.027476776391267776,
-0.030027231201529503,
0.02883964031934738,
0.0069963023997843266,
-0.02720627561211586,
-0.010363389737904072,
0.059614356607198715,
0.037023596465587616,
-0.0013608402805402875,
-0.003812153358012438,
-0.082370325922966,
0.013438642956316471,
0.017754197120666504,
0.04930710792541504,
-0.02825070358812809,
0.02945171482861042,
0.041904814541339874,
0.06775350123643875,
0.08419103175401688,
0.08553902804851532,
0.036635126918554306,
-0.035747263580560684,
0.01181463897228241,
0.00013140743249095976,
0.10501325130462646,
-0.0481722392141819,
-0.06622064113616943,
-0.019848933443427086,
0.08770876377820969,
-0.02784986048936844,
-0.01127072423696518,
-0.01717214658856392,
-0.00783105194568634,
-0.024417709559202194,
-0.002038721926510334,
-0.016233669593930244,
-0.1251194030046463,
-0.020077498629689217,
-0.010693340562283993,
0.02246902324259281,
-0.02697739191353321,
-0.0030555485282093287,
-0.10713899880647659,
-0.09345465153455734,
-0.0132426917552948,
-0.06696825474500656,
0.02562173269689083,
-0.015104465186595917,
0.029296664521098137,
-0.07207878679037094,
-0.013073946349322796,
-0.0018222966464236379,
-0.019244881346821785,
0.00024878850672394037,
0.04922565445303917,
-2.586915009629416e-33,
-0.048600081354379654,
-0.012234749272465706,
0.050395481288433075,
-0.008701568469405174,
0.06732486188411713,
-0.01183594111353159,
0.027562368661165237,
-0.06022711843252182,
-0.07194802910089493,
0.019985800608992577,
-0.09878642857074738,
0.05702315270900726,
0.02293768711388111,
-0.03948076441884041,
-0.0748119056224823,
-0.027653824537992477,
-0.003629775019362569,
-0.059140659868717194,
0.0545913390815258,
0.01645771972835064,
0.007340064272284508,
0.056093502789735794,
-0.13505299389362335,
-0.0046632676385343075,
0.012714953161776066,
0.04976179450750351,
0.051310520619153976,
-0.03415941074490547,
-0.028727779164910316,
0.12607304751873016,
-0.07905422151088715,
-0.042818792164325714,
-0.11314374208450317,
-0.02032170444726944,
0.05096143111586571,
0.07797639071941376,
-0.006338838022202253,
0.02691008895635605,
-0.02944914996623993,
0.04346337914466858,
0.00031920254696160555,
-0.03975123539566994,
-0.029366305097937584,
0.04434255510568619,
0.0079385070130229,
0.03737977147102356,
-0.01490380521863699,
0.05418585240840912,
-0.014968115836381912,
-0.006881073582917452,
0.0010284454328939319,
0.10747141391038895,
-0.05549381300806999,
0.03853631764650345,
0.01521209441125393,
-0.022917376831173897,
-0.013927089981734753,
0.05124255269765854,
0.09529642760753632,
-0.006386782508343458,
-0.06447535008192062,
-0.091822549700737,
-0.047268420457839966,
0.07289038598537445,
-0.09484399855136871,
-0.03270547091960907,
0.018701108172535896,
-0.053055062890052795,
-0.059366270899772644,
0.03213153034448624,
-0.061214741319417953,
0.036072537302970886,
0.041622526943683624,
-0.04901091009378433,
-0.061145711690187454,
0.03619961440563202,
0.04839490354061127,
0.082790806889534,
0.03580829128623009,
-0.07911547273397446,
-0.044081129133701324,
-0.005781945306807756,
0.02122988924384117,
0.036914777010679245,
0.04937804490327835,
-0.05683558061718941,
0.03815307468175888,
-0.03687765449285507,
0.052162811160087585,
0.01333172433078289,
-0.001114768791012466,
-0.06358145922422409,
-0.04559614136815071,
-0.02139374241232872,
-0.08596929907798767,
-4.455258206803592e-8,
-0.13216707110404968,
-0.02030075341463089,
0.00878493208438158,
-0.009431304410099983,
0.04769042506814003,
0.009746439754962921,
0.14039024710655212,
0.08403173089027405,
-0.035864658653736115,
0.0507977120578289,
0.04945165291428566,
0.031746700406074524,
0.014896376989781857,
0.004523269832134247,
-0.013403095304965973,
-0.024546444416046143,
0.09169984608888626,
0.011512745171785355,
0.024828113615512848,
-0.02189547009766102,
-0.04684729874134064,
-0.07281772047281265,
-0.00033699042978696525,
0.05132583528757095,
0.08631867915391922,
-0.06753834336996078,
-0.1390560120344162,
-0.08574604988098145,
0.02368280477821827,
0.003802829422056675,
-0.052682701498270035,
0.04443700984120369,
0.03461192175745964,
0.028112025931477547,
0.031104708090424538,
0.03356166556477547,
-0.10899167507886887,
0.02959253266453743,
-0.05860106274485588,
-0.032744988799095154,
0.01989898458123207,
0.03955064341425896,
-0.021749889478087425,
-0.01150501985102892,
0.025131382048130035,
0.04370905086398125,
0.0440756231546402,
0.038868680596351624,
0.03550734370946884,
-0.05326300859451294,
-0.03192678838968277,
-0.037012774497270584,
-0.09278000891208649,
-0.015018241479992867,
0.044504135847091675,
-0.06858157366514206,
0.009287567809224129,
-0.053144365549087524,
0.10616187751293182,
0.0041199494153261185,
-0.06875823438167572,
-0.042318183928728104,
-0.0626230388879776,
-0.0875169113278389
] | null | null | null | null | null | null | null |
[
0.02864026091992855,
0.0325763113796711,
0.009553586132824421,
-0.013972986489534378,
0.018504245206713676,
-0.030882399529218674,
0.006262860260903835,
-0.06879319995641708,
0.05454938858747482,
-0.006874606013298035,
0.00006581585330422968,
-0.02745319902896881,
0.0534091480076313,
0.09542407095432281,
-0.05470557138323784,
0.03957819193601608,
0.007772049400955439,
0.02122153900563717,
0.056510988622903824,
-0.05497235432267189,
0.03511252999305725,
-0.02686641737818718,
-0.0781518891453743,
-0.0636763721704483,
0.03216968849301338,
0.030927380546927452,
-0.035952210426330566,
0.017970530316233635,
0.06026812642812729,
0.028096262365579605,
0.039921559393405914,
0.07442110776901245,
0.02241489663720131,
-0.0021748372819274664,
0.05085493624210358,
0.06364224851131439,
-0.127775639295578,
0.04198724403977394,
0.04189503192901611,
0.053526684641838074,
0.030313262715935707,
0.042942848056554794,
0.04305432736873627,
-0.03688739985227585,
0.045580532401800156,
0.08749092370271683,
-0.08740975707769394,
0.05048879235982895,
-0.042026616632938385,
-0.0609615258872509,
-0.06326582282781601,
0.012760782614350319,
-0.07763242721557617,
0.01973644271492958,
0.11198819428682327,
0.012617789208889008,
-0.019873574376106262,
-0.023482810705900192,
0.031051959842443466,
0.027661535888910294,
0.08428898453712463,
-0.011868195608258247,
-0.03977316617965698,
0.010058194398880005,
0.058581363409757614,
0.06681647896766663,
-0.04177497699856758,
0.022316949442029,
-0.015354315750300884,
0.013118009082973003,
0.06947911530733109,
0.014759828336536884,
-0.10050278156995773,
0.007974186912178993,
0.10841073840856552,
0.10814253985881805,
0.06822855025529861,
0.050218138843774796,
-0.05890418589115143,
-0.01887110061943531,
-0.001014180714264512,
0.0005439714877866209,
0.006616832222789526,
-0.008453971706330776,
-0.01703283004462719,
-0.00878969207406044,
-0.022735465317964554,
-0.046373698860406876,
0.12604254484176636,
0.006278568878769875,
-0.06187816709280014,
0.008441700600087643,
0.024158556014299393,
-0.037661902606487274,
0.014171145856380463,
-0.020717637613415718,
-0.03245823085308075,
-0.017559979110956192,
0.020505724474787712,
0.029959745705127716,
-0.012500865384936333,
-0.08099417388439178,
0.07628973573446274,
-0.08209958672523499,
0.03680327907204628,
0.03233221918344498,
0.048969611525535583,
0.015626918524503708,
0.09405384957790375,
0.01463520061224699,
-0.039036672562360764,
0.02588951587677002,
-0.0026884563267230988,
-0.0008780611678957939,
-0.0761897936463356,
-0.03952694311738014,
0.01961839385330677,
0.024818141013383865,
0.010695273987948895,
0.12856967747211456,
-0.07140246033668518,
-0.007204496767371893,
-0.000906944100279361,
-0.06433308124542236,
0.04776771366596222,
0.03796925023198128,
-0.08305864036083221,
1.2187655835730021e-33,
0.019598158076405525,
-0.017308589071035385,
0.00368353258818388,
0.007742313202470541,
0.05870777368545532,
-0.06564684212207794,
-0.0012184081133455038,
-0.09331142157316208,
0.030661458149552345,
0.02491449937224388,
-0.09092706441879272,
0.05490650236606598,
0.007710866630077362,
0.034226011484861374,
0.06291277706623077,
-0.05040188878774643,
0.06969239562749863,
-0.08047062903642654,
-0.011565378867089748,
-0.02504887990653515,
0.057924844324588776,
-0.050825681537389755,
0.057741615921258926,
-0.0045870449393987656,
0.026008546352386475,
-0.03824921324849129,
-0.043056242167949677,
-0.05602877587080002,
0.0147349052131176,
-0.003888488980010152,
-0.09428760409355164,
0.02279984951019287,
-0.004066233988851309,
0.002361346036195755,
0.01260355394333601,
0.07362200319766998,
0.0068733044900000095,
-0.005724131129682064,
0.03285669535398483,
0.02225148119032383,
-0.027476776391267776,
-0.030027231201529503,
0.02883964031934738,
0.0069963023997843266,
-0.02720627561211586,
-0.010363389737904072,
0.059614356607198715,
0.037023596465587616,
-0.0013608402805402875,
-0.003812153358012438,
-0.082370325922966,
0.013438642956316471,
0.017754197120666504,
0.04930710792541504,
-0.02825070358812809,
0.02945171482861042,
0.041904814541339874,
0.06775350123643875,
0.08419103175401688,
0.08553902804851532,
0.036635126918554306,
-0.035747263580560684,
0.01181463897228241,
0.00013140743249095976,
0.10501325130462646,
-0.0481722392141819,
-0.06622064113616943,
-0.019848933443427086,
0.08770876377820969,
-0.02784986048936844,
-0.01127072423696518,
-0.01717214658856392,
-0.00783105194568634,
-0.024417709559202194,
-0.002038721926510334,
-0.016233669593930244,
-0.1251194030046463,
-0.020077498629689217,
-0.010693340562283993,
0.02246902324259281,
-0.02697739191353321,
-0.0030555485282093287,
-0.10713899880647659,
-0.09345465153455734,
-0.0132426917552948,
-0.06696825474500656,
0.02562173269689083,
-0.015104465186595917,
0.029296664521098137,
-0.07207878679037094,
-0.013073946349322796,
-0.0018222966464236379,
-0.019244881346821785,
0.00024878850672394037,
0.04922565445303917,
-2.586915009629416e-33,
-0.048600081354379654,
-0.012234749272465706,
0.050395481288433075,
-0.008701568469405174,
0.06732486188411713,
-0.01183594111353159,
0.027562368661165237,
-0.06022711843252182,
-0.07194802910089493,
0.019985800608992577,
-0.09878642857074738,
0.05702315270900726,
0.02293768711388111,
-0.03948076441884041,
-0.0748119056224823,
-0.027653824537992477,
-0.003629775019362569,
-0.059140659868717194,
0.0545913390815258,
0.01645771972835064,
0.007340064272284508,
0.056093502789735794,
-0.13505299389362335,
-0.0046632676385343075,
0.012714953161776066,
0.04976179450750351,
0.051310520619153976,
-0.03415941074490547,
-0.028727779164910316,
0.12607304751873016,
-0.07905422151088715,
-0.042818792164325714,
-0.11314374208450317,
-0.02032170444726944,
0.05096143111586571,
0.07797639071941376,
-0.006338838022202253,
0.02691008895635605,
-0.02944914996623993,
0.04346337914466858,
0.00031920254696160555,
-0.03975123539566994,
-0.029366305097937584,
0.04434255510568619,
0.0079385070130229,
0.03737977147102356,
-0.01490380521863699,
0.05418585240840912,
-0.014968115836381912,
-0.006881073582917452,
0.0010284454328939319,
0.10747141391038895,
-0.05549381300806999,
0.03853631764650345,
0.01521209441125393,
-0.022917376831173897,
-0.013927089981734753,
0.05124255269765854,
0.09529642760753632,
-0.006386782508343458,
-0.06447535008192062,
-0.091822549700737,
-0.047268420457839966,
0.07289038598537445,
-0.09484399855136871,
-0.03270547091960907,
0.018701108172535896,
-0.053055062890052795,
-0.059366270899772644,
0.03213153034448624,
-0.061214741319417953,
0.036072537302970886,
0.041622526943683624,
-0.04901091009378433,
-0.061145711690187454,
0.03619961440563202,
0.04839490354061127,
0.082790806889534,
0.03580829128623009,
-0.07911547273397446,
-0.044081129133701324,
-0.005781945306807756,
0.02122988924384117,
0.036914777010679245,
0.04937804490327835,
-0.05683558061718941,
0.03815307468175888,
-0.03687765449285507,
0.052162811160087585,
0.01333172433078289,
-0.001114768791012466,
-0.06358145922422409,
-0.04559614136815071,
-0.02139374241232872,
-0.08596929907798767,
-4.455258206803592e-8,
-0.13216707110404968,
-0.02030075341463089,
0.00878493208438158,
-0.009431304410099983,
0.04769042506814003,
0.009746439754962921,
0.14039024710655212,
0.08403173089027405,
-0.035864658653736115,
0.0507977120578289,
0.04945165291428566,
0.031746700406074524,
0.014896376989781857,
0.004523269832134247,
-0.013403095304965973,
-0.024546444416046143,
0.09169984608888626,
0.011512745171785355,
0.024828113615512848,
-0.02189547009766102,
-0.04684729874134064,
-0.07281772047281265,
-0.00033699042978696525,
0.05132583528757095,
0.08631867915391922,
-0.06753834336996078,
-0.1390560120344162,
-0.08574604988098145,
0.02368280477821827,
0.003802829422056675,
-0.052682701498270035,
0.04443700984120369,
0.03461192175745964,
0.028112025931477547,
0.031104708090424538,
0.03356166556477547,
-0.10899167507886887,
0.02959253266453743,
-0.05860106274485588,
-0.032744988799095154,
0.01989898458123207,
0.03955064341425896,
-0.021749889478087425,
-0.01150501985102892,
0.025131382048130035,
0.04370905086398125,
0.0440756231546402,
0.038868680596351624,
0.03550734370946884,
-0.05326300859451294,
-0.03192678838968277,
-0.037012774497270584,
-0.09278000891208649,
-0.015018241479992867,
0.044504135847091675,
-0.06858157366514206,
0.009287567809224129,
-0.053144365549087524,
0.10616187751293182,
0.0041199494153261185,
-0.06875823438167572,
-0.042318183928728104,
-0.0626230388879776,
-0.0875169113278389
] |
1402.2963
|
William Bradley
|
William F. Bradley
|
Running in Circles: Packet Routing on Ring Networks
|
Bradley, William F. (2002). Running in circles: packet routing on
ring networks (Doctoral dissertation, Massachusetts Institute of Technology)
| null | null | null |
math.PR cs.NI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I analyze packet routing on unidirectional ring networks, with an eye towards
establishing bounds on the expected length of the queues. Suppose we route
packets by a greedy "hot potato" protocol. If packets are inserted by a
Bernoulli process and have uniform destinations around the ring, and if the
nominal load is kept fixed, then I can construct an upper bound on the expected
queue length per node that is independent of the size of the ring. If the
packets only travel one or two steps, I can calculate the exact expected queue
length for rings of any size.
I also show some stability results under more general circumstances. If the
packets are inserted by any ergodic hidden Markov process with nominal loads
less than one, and routed by any greedy protocol, I prove that the ring is
ergodic.
|
[
{
"created": "Wed, 12 Feb 2014 20:29:58 GMT",
"version": "v1"
}
] |
2014-02-13
|
[
[
"Bradley",
"William F.",
""
]
] |
[
-0.00767835509032011,
0.02515212632715702,
-0.05976664274930954,
-0.0021065284963697195,
0.04414978250861168,
-0.008738509379327297,
0.06580633670091629,
-0.023242084309458733,
0.06328662484884262,
-0.03389642760157585,
-0.07110381126403809,
0.0710674598813057,
0.06422079354524612,
-0.11360808461904526,
-0.02269524708390236,
0.02422957681119442,
0.08187566697597504,
0.0011727287201210856,
0.01864740438759327,
0.003643213538452983,
0.010529148392379284,
-0.009374601766467094,
0.07118913531303406,
-0.021613581106066704,
-0.06121739745140076,
-0.014836677350103855,
-0.0318596214056015,
-0.0277872234582901,
-0.03138146549463272,
-0.04852721095085144,
-0.039293114095926285,
-0.028754519298672676,
0.04479256644845009,
-0.05348538979887962,
0.071072056889534,
0.050833091139793396,
-0.06387580186128616,
0.0013388654915615916,
-0.0778435617685318,
0.026519622653722763,
0.044594813138246536,
0.03420531004667282,
0.029633603990077972,
0.017576532438397408,
-0.05163569748401642,
-0.021018924191594124,
-0.03937932848930359,
0.01771366596221924,
-0.06130773946642876,
-0.0700569674372673,
0.05821985378861427,
0.08430499583482742,
0.048903532326221466,
0.09094802290201187,
0.08692198991775513,
0.006235204637050629,
-0.04474562034010887,
-0.05995429679751396,
-0.06670285016298294,
0.023294620215892792,
0.027355635538697243,
0.0058264643885195255,
-0.08323103934526443,
-0.029356319457292557,
-0.06489527225494385,
0.06176277622580528,
0.05671531334519386,
0.0036235235165804625,
0.0005245354841463268,
0.07192923873662949,
-0.027449099346995354,
-0.031914323568344116,
-0.12196595221757889,
0.07161755114793777,
0.05302860215306282,
0.029040586203336716,
0.04001656174659729,
-0.010862069204449654,
-0.13184310495853424,
-0.00912801455706358,
-0.006167420651763678,
-0.07485362887382507,
0.12060654163360596,
-0.09506374597549438,
-0.0017108755419030786,
0.0016062278300523758,
-0.02614123374223709,
-0.07854529470205307,
0.028043951839208603,
-0.05084743723273277,
-0.035084888339042664,
0.013759630732238293,
-0.016094418242573738,
0.013431564904749393,
0.07908596098423004,
-0.04033705219626427,
-0.021179020404815674,
-0.029471056535840034,
-0.06803090870380402,
0.05975830927491188,
0.054622307419776917,
-0.06769528985023499,
0.029657160863280296,
-0.0012234932510182261,
0.06200521066784859,
0.08362500369548798,
0.01819821447134018,
-0.003097445471212268,
0.03688916563987732,
0.05825216323137283,
0.0029587845783680677,
-0.03248203545808792,
0.03280230611562729,
0.006247094366699457,
-0.030376261100172997,
0.0067597939632833,
-0.024724837392568588,
0.04464641958475113,
-0.028605856001377106,
-0.002792120911180973,
-0.0017512999475002289,
0.001092863967642188,
-0.04461342468857765,
-0.06085212528705597,
0.014078762382268906,
-0.03738127648830414,
0.07451468706130981,
2.918254357360579e-33,
0.0073078349232673645,
-0.04706369712948799,
0.04730549082159996,
-0.07737541943788528,
0.013574084267020226,
0.024957984685897827,
0.03388319909572601,
-0.0874786376953125,
0.07972700893878937,
-0.026880089193582535,
-0.022976573556661606,
0.015748372301459312,
-0.04674285650253296,
0.02822573110461235,
0.01929013431072235,
-0.06754831224679947,
0.06178228184580803,
0.02368827350437641,
0.08797536790370941,
-0.048838451504707336,
0.013006091117858887,
-0.03963889554142952,
-0.022622523829340935,
-0.008129631169140339,
-0.03328988701105118,
-0.022923892363905907,
-0.034544963389635086,
-0.08058875054121017,
-0.007579036056995392,
0.05134029686450958,
-0.039869386702775955,
0.045313768088817596,
0.01189181674271822,
0.06976407021284103,
-0.06775960326194763,
0.01930096372961998,
-0.04321301728487015,
0.03587891906499863,
0.04715947434306145,
-0.07261599600315094,
-0.04703373834490776,
-0.030504325404763222,
0.0456966869533062,
-0.00015015814278740436,
-0.08808468282222748,
-0.062439434230327606,
0.043264660984277725,
0.0362984836101532,
-0.08042467385530472,
-0.005436931736767292,
0.07093995064496994,
-0.05769449099898338,
0.06428369134664536,
-0.004555678926408291,
-0.033772923052310944,
-0.04532832279801369,
0.04139968752861023,
0.07169408351182938,
0.03721437230706215,
0.10547606647014618,
-0.03718457743525505,
0.004838069435209036,
-0.009204564616084099,
0.0030647623352706432,
0.07152766734361649,
0.09887035191059113,
-0.1155574768781662,
-0.08428709208965302,
0.025574203580617905,
-0.019677044823765755,
0.06371904164552689,
-0.002062846440821886,
0.027424709871411324,
0.042655326426029205,
-0.02174348011612892,
0.004769090097397566,
-0.03089500218629837,
-0.07220210134983063,
-0.01124485395848751,
0.11212188005447388,
-0.062228672206401825,
-0.045703332871198654,
-0.01691172644495964,
-0.05104256793856621,
-0.01994871348142624,
-0.05550156161189079,
0.05697371065616608,
-0.04189050942659378,
-0.014699926599860191,
0.04124926030635834,
0.04842003807425499,
-0.001982190879061818,
-0.0027667321264743805,
0.06427766382694244,
0.08117065578699112,
-3.441763705235162e-33,
0.08389036357402802,
-0.023876452818512917,
0.009826449677348137,
0.12807796895503998,
0.061219580471515656,
0.0009675074834376574,
0.00522187352180481,
0.05891843140125275,
-0.03288394212722778,
-0.056054409593343735,
-0.11262993514537811,
0.048658449202775955,
-0.027027767151594162,
-0.020655900239944458,
0.06362646818161011,
-0.1392507404088974,
0.08802102506160736,
0.013600187376141548,
0.03948894888162613,
0.031147167086601257,
0.009146204218268394,
-0.04696822166442871,
-0.13750939071178436,
-0.019400574266910553,
0.02666124515235424,
-0.018929241225123405,
-0.010238842107355595,
-0.03320948779582977,
-0.10642440617084503,
0.007031003944575787,
-0.11627268046140671,
-0.09400886297225952,
-0.04456810653209686,
0.06200416013598442,
0.0008195399423129857,
0.04640458896756172,
0.011617274023592472,
0.10195863991975784,
0.016973033547401428,
0.03199681267142296,
-0.027688754722476006,
-0.03456827998161316,
-0.05430219694972038,
0.004861897323280573,
0.10136160999536514,
-0.030637988820672035,
-0.0021119804587215185,
0.06533002853393555,
-0.011334680952131748,
-0.016356587409973145,
0.016955694183707237,
0.10966698825359344,
0.04879746213555336,
0.05883197858929634,
0.0441003292798996,
0.03055950440466404,
-0.015282337553799152,
0.016005536541342735,
0.037328384816646576,
0.04243692755699158,
-0.06495200097560883,
-0.01292639970779419,
-0.0383027084171772,
0.03944635018706322,
0.10737335681915283,
-0.04533927142620087,
0.013625307939946651,
-0.08237091451883316,
0.07734570652246475,
-0.053436219692230225,
0.04142449051141739,
0.06488274782896042,
-0.0664428174495697,
0.07371881604194641,
0.03408711403608322,
0.019397849217057228,
0.015069874934852123,
-0.007458126172423363,
-0.004340752959251404,
0.00946861132979393,
-0.061274100095033646,
0.04033728688955307,
-0.012091949582099915,
-0.04356753081083298,
0.02308834344148636,
-0.007515887264162302,
0.11924953758716583,
-0.15095558762550354,
-0.03091234154999256,
-0.023007981479167938,
0.08372411131858826,
-0.017580023035407066,
0.02727583982050419,
0.02253134734928608,
-0.011732924729585648,
-4.16604564179579e-8,
0.05403696000576019,
0.01211096066981554,
0.010454208590090275,
-0.001978969434276223,
0.1334242820739746,
-0.02212284319102764,
0.06099288538098335,
0.00951326172798872,
0.01701103150844574,
-0.0271404217928648,
0.058766916394233704,
0.059771958738565445,
0.025636637583374977,
-0.02070290595293045,
0.030062105506658554,
0.018532218411564827,
-0.012256455607712269,
0.005392839200794697,
-0.0564599372446537,
-0.014723215252161026,
0.05023201182484627,
0.014977597631514072,
-0.0468299500644207,
-0.033296890556812286,
-0.06887321919202805,
-0.019853409379720688,
0.05208364129066467,
-0.057336531579494476,
0.04603349417448044,
0.04198950529098511,
-0.05792643129825592,
-0.03364410996437073,
-0.012272787280380726,
0.005783569999039173,
-0.011649588122963905,
0.019427509978413582,
-0.027895238250494003,
-0.021509956568479538,
0.05099550634622574,
-0.02750660851597786,
-0.030215924605727196,
-0.03256721794605255,
0.03612475097179413,
-0.030679473653435707,
0.019956117495894432,
0.03494979068636894,
-0.0746733620762825,
0.04842182248830795,
-0.05084100738167763,
-0.044192444533109665,
0.0490531250834465,
-0.019316447898745537,
0.01962750218808651,
-0.025418175384402275,
0.03178554028272629,
0.012208179570734501,
0.05871612951159477,
-0.060369763523340225,
0.03078598529100418,
0.06224915012717247,
-0.06798461079597473,
0.04739461466670036,
-0.029528256505727768,
-0.011972390115261078
] | null | null | null | null | null | null | null |
[
-0.00767835509032011,
0.02515212632715702,
-0.05976664274930954,
-0.0021065284963697195,
0.04414978250861168,
-0.008738509379327297,
0.06580633670091629,
-0.023242084309458733,
0.06328662484884262,
-0.03389642760157585,
-0.07110381126403809,
0.0710674598813057,
0.06422079354524612,
-0.11360808461904526,
-0.02269524708390236,
0.02422957681119442,
0.08187566697597504,
0.0011727287201210856,
0.01864740438759327,
0.003643213538452983,
0.010529148392379284,
-0.009374601766467094,
0.07118913531303406,
-0.021613581106066704,
-0.06121739745140076,
-0.014836677350103855,
-0.0318596214056015,
-0.0277872234582901,
-0.03138146549463272,
-0.04852721095085144,
-0.039293114095926285,
-0.028754519298672676,
0.04479256644845009,
-0.05348538979887962,
0.071072056889534,
0.050833091139793396,
-0.06387580186128616,
0.0013388654915615916,
-0.0778435617685318,
0.026519622653722763,
0.044594813138246536,
0.03420531004667282,
0.029633603990077972,
0.017576532438397408,
-0.05163569748401642,
-0.021018924191594124,
-0.03937932848930359,
0.01771366596221924,
-0.06130773946642876,
-0.0700569674372673,
0.05821985378861427,
0.08430499583482742,
0.048903532326221466,
0.09094802290201187,
0.08692198991775513,
0.006235204637050629,
-0.04474562034010887,
-0.05995429679751396,
-0.06670285016298294,
0.023294620215892792,
0.027355635538697243,
0.0058264643885195255,
-0.08323103934526443,
-0.029356319457292557,
-0.06489527225494385,
0.06176277622580528,
0.05671531334519386,
0.0036235235165804625,
0.0005245354841463268,
0.07192923873662949,
-0.027449099346995354,
-0.031914323568344116,
-0.12196595221757889,
0.07161755114793777,
0.05302860215306282,
0.029040586203336716,
0.04001656174659729,
-0.010862069204449654,
-0.13184310495853424,
-0.00912801455706358,
-0.006167420651763678,
-0.07485362887382507,
0.12060654163360596,
-0.09506374597549438,
-0.0017108755419030786,
0.0016062278300523758,
-0.02614123374223709,
-0.07854529470205307,
0.028043951839208603,
-0.05084743723273277,
-0.035084888339042664,
0.013759630732238293,
-0.016094418242573738,
0.013431564904749393,
0.07908596098423004,
-0.04033705219626427,
-0.021179020404815674,
-0.029471056535840034,
-0.06803090870380402,
0.05975830927491188,
0.054622307419776917,
-0.06769528985023499,
0.029657160863280296,
-0.0012234932510182261,
0.06200521066784859,
0.08362500369548798,
0.01819821447134018,
-0.003097445471212268,
0.03688916563987732,
0.05825216323137283,
0.0029587845783680677,
-0.03248203545808792,
0.03280230611562729,
0.006247094366699457,
-0.030376261100172997,
0.0067597939632833,
-0.024724837392568588,
0.04464641958475113,
-0.028605856001377106,
-0.002792120911180973,
-0.0017512999475002289,
0.001092863967642188,
-0.04461342468857765,
-0.06085212528705597,
0.014078762382268906,
-0.03738127648830414,
0.07451468706130981,
2.918254357360579e-33,
0.0073078349232673645,
-0.04706369712948799,
0.04730549082159996,
-0.07737541943788528,
0.013574084267020226,
0.024957984685897827,
0.03388319909572601,
-0.0874786376953125,
0.07972700893878937,
-0.026880089193582535,
-0.022976573556661606,
0.015748372301459312,
-0.04674285650253296,
0.02822573110461235,
0.01929013431072235,
-0.06754831224679947,
0.06178228184580803,
0.02368827350437641,
0.08797536790370941,
-0.048838451504707336,
0.013006091117858887,
-0.03963889554142952,
-0.022622523829340935,
-0.008129631169140339,
-0.03328988701105118,
-0.022923892363905907,
-0.034544963389635086,
-0.08058875054121017,
-0.007579036056995392,
0.05134029686450958,
-0.039869386702775955,
0.045313768088817596,
0.01189181674271822,
0.06976407021284103,
-0.06775960326194763,
0.01930096372961998,
-0.04321301728487015,
0.03587891906499863,
0.04715947434306145,
-0.07261599600315094,
-0.04703373834490776,
-0.030504325404763222,
0.0456966869533062,
-0.00015015814278740436,
-0.08808468282222748,
-0.062439434230327606,
0.043264660984277725,
0.0362984836101532,
-0.08042467385530472,
-0.005436931736767292,
0.07093995064496994,
-0.05769449099898338,
0.06428369134664536,
-0.004555678926408291,
-0.033772923052310944,
-0.04532832279801369,
0.04139968752861023,
0.07169408351182938,
0.03721437230706215,
0.10547606647014618,
-0.03718457743525505,
0.004838069435209036,
-0.009204564616084099,
0.0030647623352706432,
0.07152766734361649,
0.09887035191059113,
-0.1155574768781662,
-0.08428709208965302,
0.025574203580617905,
-0.019677044823765755,
0.06371904164552689,
-0.002062846440821886,
0.027424709871411324,
0.042655326426029205,
-0.02174348011612892,
0.004769090097397566,
-0.03089500218629837,
-0.07220210134983063,
-0.01124485395848751,
0.11212188005447388,
-0.062228672206401825,
-0.045703332871198654,
-0.01691172644495964,
-0.05104256793856621,
-0.01994871348142624,
-0.05550156161189079,
0.05697371065616608,
-0.04189050942659378,
-0.014699926599860191,
0.04124926030635834,
0.04842003807425499,
-0.001982190879061818,
-0.0027667321264743805,
0.06427766382694244,
0.08117065578699112,
-3.441763705235162e-33,
0.08389036357402802,
-0.023876452818512917,
0.009826449677348137,
0.12807796895503998,
0.061219580471515656,
0.0009675074834376574,
0.00522187352180481,
0.05891843140125275,
-0.03288394212722778,
-0.056054409593343735,
-0.11262993514537811,
0.048658449202775955,
-0.027027767151594162,
-0.020655900239944458,
0.06362646818161011,
-0.1392507404088974,
0.08802102506160736,
0.013600187376141548,
0.03948894888162613,
0.031147167086601257,
0.009146204218268394,
-0.04696822166442871,
-0.13750939071178436,
-0.019400574266910553,
0.02666124515235424,
-0.018929241225123405,
-0.010238842107355595,
-0.03320948779582977,
-0.10642440617084503,
0.007031003944575787,
-0.11627268046140671,
-0.09400886297225952,
-0.04456810653209686,
0.06200416013598442,
0.0008195399423129857,
0.04640458896756172,
0.011617274023592472,
0.10195863991975784,
0.016973033547401428,
0.03199681267142296,
-0.027688754722476006,
-0.03456827998161316,
-0.05430219694972038,
0.004861897323280573,
0.10136160999536514,
-0.030637988820672035,
-0.0021119804587215185,
0.06533002853393555,
-0.011334680952131748,
-0.016356587409973145,
0.016955694183707237,
0.10966698825359344,
0.04879746213555336,
0.05883197858929634,
0.0441003292798996,
0.03055950440466404,
-0.015282337553799152,
0.016005536541342735,
0.037328384816646576,
0.04243692755699158,
-0.06495200097560883,
-0.01292639970779419,
-0.0383027084171772,
0.03944635018706322,
0.10737335681915283,
-0.04533927142620087,
0.013625307939946651,
-0.08237091451883316,
0.07734570652246475,
-0.053436219692230225,
0.04142449051141739,
0.06488274782896042,
-0.0664428174495697,
0.07371881604194641,
0.03408711403608322,
0.019397849217057228,
0.015069874934852123,
-0.007458126172423363,
-0.004340752959251404,
0.00946861132979393,
-0.061274100095033646,
0.04033728688955307,
-0.012091949582099915,
-0.04356753081083298,
0.02308834344148636,
-0.007515887264162302,
0.11924953758716583,
-0.15095558762550354,
-0.03091234154999256,
-0.023007981479167938,
0.08372411131858826,
-0.017580023035407066,
0.02727583982050419,
0.02253134734928608,
-0.011732924729585648,
-4.16604564179579e-8,
0.05403696000576019,
0.01211096066981554,
0.010454208590090275,
-0.001978969434276223,
0.1334242820739746,
-0.02212284319102764,
0.06099288538098335,
0.00951326172798872,
0.01701103150844574,
-0.0271404217928648,
0.058766916394233704,
0.059771958738565445,
0.025636637583374977,
-0.02070290595293045,
0.030062105506658554,
0.018532218411564827,
-0.012256455607712269,
0.005392839200794697,
-0.0564599372446537,
-0.014723215252161026,
0.05023201182484627,
0.014977597631514072,
-0.0468299500644207,
-0.033296890556812286,
-0.06887321919202805,
-0.019853409379720688,
0.05208364129066467,
-0.057336531579494476,
0.04603349417448044,
0.04198950529098511,
-0.05792643129825592,
-0.03364410996437073,
-0.012272787280380726,
0.005783569999039173,
-0.011649588122963905,
0.019427509978413582,
-0.027895238250494003,
-0.021509956568479538,
0.05099550634622574,
-0.02750660851597786,
-0.030215924605727196,
-0.03256721794605255,
0.03612475097179413,
-0.030679473653435707,
0.019956117495894432,
0.03494979068636894,
-0.0746733620762825,
0.04842182248830795,
-0.05084100738167763,
-0.044192444533109665,
0.0490531250834465,
-0.019316447898745537,
0.01962750218808651,
-0.025418175384402275,
0.03178554028272629,
0.012208179570734501,
0.05871612951159477,
-0.060369763523340225,
0.03078598529100418,
0.06224915012717247,
-0.06798461079597473,
0.04739461466670036,
-0.029528256505727768,
-0.011972390115261078
] |
1402.2964
|
Michael Hahn
|
Michael Hahn
|
Electron Impact Ionization of Stored Highly Charged Ions
|
Accepted for Journal of Physics Conference Series
| null |
10.1088/1742-6596/488/1/012050
| null |
physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Accurate cross section data for electron impact ionization (EII) are needed
in order to interpret the spectra of collisionally ionized plasmas both in
astrophysics and in the laboratory. Models and spectroscopic diagnostics of
such plasmas rely on accurate ionization balance calculations, which depend, in
turn, on the underlying rates for EII and electron-ion recombination. EII
measurements have been carried out using the TSR storage ring located at the
Max-Planck-Institut fuer Kernphysik in Heidelberg, Germany. Storage ring
measurements are largely free of metastable contamination, resulting in
unambiguous EII data, unlike what is encountered with other experimental
geometries. As it is impractical to perform experiments for every ion, theory
must provide the bulk of the necessary EII data. In order to guide theory, TSR
experiments have focused on providing at least one measurement for every
isoelectronic sequence. EII data have been measured for ions from 13
isoelectronic sequences: Li-like silicon and chlorine, Be-like sulfur, B-like
magnesium, and F-like through K-like iron. These experimental results provide
an important benchmark for EII theory.
|
[
{
"created": "Wed, 12 Feb 2014 20:31:26 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Hahn",
"Michael",
""
]
] |
[
-0.04846949502825737,
0.02480691485106945,
-0.005957735702395439,
0.04039055109024048,
-0.01722322590649128,
-0.05648422986268997,
0.02839072421193123,
0.06131681427359581,
0.027419298887252808,
-0.02677299827337265,
-0.007694568019360304,
-0.07208223640918732,
-0.02676171250641346,
-0.009756040759384632,
-0.04916459321975708,
-0.1062094122171402,
0.03358335420489311,
0.02510584518313408,
-0.10169282555580139,
-0.012344044633209705,
-0.04727961868047714,
-0.057545699179172516,
0.013688762672245502,
-0.0037434191908687353,
0.031080517917871475,
0.0597383938729763,
-0.015621531754732132,
-0.02424340322613716,
-0.049297817051410675,
-0.06704629212617874,
0.06223977729678154,
-0.004701032303273678,
-0.023575434461236,
0.010354002006351948,
0.001779711339622736,
0.03224433586001396,
-0.028150441125035286,
-0.04731227084994316,
0.02588312327861786,
-0.058985885232686996,
-0.017641248181462288,
0.00012230688298586756,
0.04118185117840767,
-0.03245377913117409,
0.0328403078019619,
-0.031411852687597275,
0.05147349461913109,
-0.07889774441719055,
-0.06194029003381729,
0.10026627779006958,
0.042531028389930725,
0.07566842436790466,
0.037312086671590805,
0.13054591417312622,
-0.011104432865977287,
-0.005013847257941961,
-0.0004560649977065623,
-0.07392705231904984,
0.0285725649446249,
0.0373428650200367,
-0.05809568613767624,
-0.04031028226017952,
0.00040700496174395084,
0.002257386688143015,
0.0008196006529033184,
0.02594750002026558,
0.08348488807678223,
-0.023928551003336906,
-0.022130122408270836,
-0.029205752536654472,
-0.0030429563485085964,
0.059201110154390335,
-0.08791955560445786,
-0.015522235073149204,
0.036486394703388214,
0.07653514295816422,
0.008373296819627285,
0.047829609364271164,
0.004842793568968773,
-0.01437814999371767,
-0.029649628326296806,
-0.008498461917042732,
0.014732006937265396,
0.00986125785857439,
-0.03726956993341446,
0.0226428359746933,
-0.021276341751217842,
0.025192096829414368,
-0.05588086321949959,
-0.015593346208333969,
0.02536400593817234,
0.006411251146346331,
0.03445671871304512,
0.03679328411817551,
0.07398366928100586,
0.08837469667196274,
0.015611452981829643,
0.011585311964154243,
0.07893449068069458,
-0.014964770525693893,
0.047919902950525284,
0.05083456262946129,
-0.06243523210287094,
0.08626293390989304,
-0.038340434432029724,
-0.06483319401741028,
0.08006905764341354,
-0.00020281625620555133,
-0.06851208209991455,
0.06054253131151199,
0.06684686988592148,
0.011391150765120983,
-0.003269753186032176,
-0.0698934867978096,
0.09809671342372894,
0.03152108192443848,
-0.0394536629319191,
0.03549131006002426,
0.04715334624052048,
-0.020139945670962334,
-0.004134192131459713,
-0.023910878226161003,
-0.020435329526662827,
0.053083788603544235,
0.08309980481863022,
0.009102270938456059,
-0.05839978903532028,
7.426583760031142e-33,
0.022367261350154877,
0.007867665961384773,
0.008048602379858494,
0.03414696455001831,
-0.07961881905794144,
-0.019902734085917473,
-0.09785643965005875,
0.019906258210539818,
-0.050864920020103455,
-0.022216856479644775,
-0.051584888249635696,
0.046393733471632004,
0.02083861082792282,
-0.08726503700017929,
0.057041604071855545,
0.009748569689691067,
-0.016498036682605743,
0.03425704687833786,
-0.010788806714117527,
0.02638355828821659,
0.030307957902550697,
-0.0563177764415741,
0.012241662479937077,
-0.010284214280545712,
0.03572871536016464,
0.09265821427106857,
0.00648223701864481,
-0.03920390084385872,
-0.08593180030584335,
0.0047884671948850155,
0.007585914805531502,
0.021883461624383926,
-0.03532663360238075,
0.04546373710036278,
0.053783755749464035,
0.05793887376785278,
-0.0868033692240715,
0.04784809425473213,
-0.017906924709677696,
-0.026282908394932747,
0.04802273213863373,
0.04010448232293129,
-0.055062226951122284,
0.01520126685500145,
0.03158467635512352,
-0.08399125933647156,
-0.03668564558029175,
-0.08972427994012833,
0.10225281864404678,
-0.01690283603966236,
-0.022049928084015846,
0.027343807741999626,
0.02187952771782875,
0.01676212064921856,
0.0398007370531559,
0.05841437354683876,
0.05890678986907005,
-0.06180870532989502,
0.03384485840797424,
0.15145918726921082,
0.0062503935769200325,
0.0687408298254013,
0.04414454847574234,
0.05798305943608284,
-0.04353838413953781,
0.06006450951099396,
-0.0828205943107605,
0.012458263896405697,
-0.02840084210038185,
0.04293091222643852,
-0.03516365960240364,
0.02565697208046913,
0.0883648544549942,
-0.02447270043194294,
0.05662956461310387,
-0.006813917774707079,
-0.05525220185518265,
-0.028279585763812065,
0.025166451930999756,
-0.06576596945524216,
0.011616301722824574,
-0.08020012080669403,
0.06764436513185501,
-0.010635720565915108,
-0.11122653633356094,
-0.11299701780080795,
-0.06093039736151695,
0.0005695807631127536,
0.014803255908191204,
-0.08438075333833694,
0.11003169417381287,
-0.008724608458578587,
-0.03218425065279007,
-0.07539774477481842,
-0.10497267544269562,
-8.741906837303587e-33,
0.030566370114684105,
-0.005845622159540653,
0.038934819400310516,
0.04623221606016159,
-0.07771173864603043,
0.0038304522167891264,
-0.016235971823334694,
0.021826019510626793,
-0.01849329099059105,
-0.0027993344701826572,
0.04215845838189125,
0.05509905144572258,
-0.05140690878033638,
-0.059016153216362,
0.020233971998095512,
0.009166916832327843,
0.022873373702168465,
-0.014348837547004223,
0.09430117160081863,
-0.028599217534065247,
0.06786994636058807,
-0.07212108373641968,
0.01623418554663658,
-0.06006978079676628,
-0.019354170188307762,
-0.013720507733523846,
0.06371644139289856,
-0.06650863587856293,
0.03173595666885376,
-0.07908356189727783,
-0.09523341804742813,
-0.03874488174915314,
0.021644989028573036,
-0.03152784705162048,
0.02915373630821705,
-0.06877447664737701,
0.006811709608882666,
-0.007002118043601513,
0.013877355493605137,
-0.07262994349002838,
0.004905718378722668,
0.11022765934467316,
-0.08187801390886307,
-0.025472108274698257,
0.09404343366622925,
0.006010170094668865,
-0.01776963286101818,
0.09204912930727005,
0.12142910808324814,
-0.031871628016233444,
0.04742977023124695,
-0.013944716192781925,
-0.02028302662074566,
0.023017272353172302,
0.006172463297843933,
0.05166836455464363,
0.04180864244699478,
-0.010871638543903828,
-0.01841091737151146,
0.01083179097622633,
-0.012830774299800396,
-0.027446303516626358,
0.14130787551403046,
0.02662789449095726,
-0.07551001757383347,
-0.0950467586517334,
0.015214591287076473,
0.0025836883578449488,
-0.06258139759302139,
0.022828958928585052,
0.00047013620496727526,
-0.033006295561790466,
0.04519597813487053,
-0.02432987466454506,
0.007029697299003601,
-0.03019624762237072,
0.02365974336862564,
-0.06527094542980194,
-0.004834263119846582,
-0.02227115072309971,
-0.04710474982857704,
0.061125125735998154,
-0.009629501029849052,
-0.052560947835445404,
0.12549957633018494,
-0.012206651270389557,
-0.028477905318140984,
-0.043774425983428955,
-0.03620303049683571,
-0.048561181873083115,
-0.010315210558474064,
-0.04382101073861122,
-0.005596073344349861,
0.016027897596359253,
0.008621101267635822,
-5.874386843629509e-8,
0.04941210523247719,
-0.021307963877916336,
-0.05053872987627983,
0.058110255748033524,
-0.019816849380731583,
-0.01875283382833004,
-0.008666660636663437,
0.002943032421171665,
0.03125692903995514,
-0.06337051838636398,
0.07170315086841583,
0.011038141325116158,
-0.07787599414587021,
-0.005565402563661337,
0.03851050138473511,
0.004474068991839886,
0.00015633038128726184,
-0.047180499881505966,
-0.03344335779547691,
0.04429897665977478,
0.02889637090265751,
0.031358834356069565,
0.0913536474108696,
-0.07808683812618256,
0.016284186393022537,
0.037451405078172684,
0.016767652705311775,
0.04078919067978859,
0.02889995649456978,
-0.1236678808927536,
-0.03133908659219742,
-0.05634136497974396,
0.0572890043258667,
-0.021665796637535095,
0.001018970157019794,
0.01715889386832714,
-0.040218085050582886,
0.03790553659200668,
0.03297486528754234,
0.04468121752142906,
-0.07263015955686569,
-0.07447589188814163,
-0.0059625389985740185,
0.025522317737340927,
0.10208675265312195,
0.0383877195417881,
-0.07722330093383789,
-0.01658758521080017,
-0.04972250759601593,
0.02209918200969696,
-0.03149934858083725,
0.026525314897298813,
-0.013675141148269176,
-0.04504653811454773,
-0.06469279527664185,
0.10752934962511063,
-0.07730545103549957,
0.004136146977543831,
0.03928123414516449,
-0.048633065074682236,
0.1465795934200287,
-0.10810865461826324,
-0.15021859109401703,
-0.037906233221292496
] | null | null | null | null | null | null | null |
[
-0.04846949502825737,
0.02480691485106945,
-0.005957735702395439,
0.04039055109024048,
-0.01722322590649128,
-0.05648422986268997,
0.02839072421193123,
0.06131681427359581,
0.027419298887252808,
-0.02677299827337265,
-0.007694568019360304,
-0.07208223640918732,
-0.02676171250641346,
-0.009756040759384632,
-0.04916459321975708,
-0.1062094122171402,
0.03358335420489311,
0.02510584518313408,
-0.10169282555580139,
-0.012344044633209705,
-0.04727961868047714,
-0.057545699179172516,
0.013688762672245502,
-0.0037434191908687353,
0.031080517917871475,
0.0597383938729763,
-0.015621531754732132,
-0.02424340322613716,
-0.049297817051410675,
-0.06704629212617874,
0.06223977729678154,
-0.004701032303273678,
-0.023575434461236,
0.010354002006351948,
0.001779711339622736,
0.03224433586001396,
-0.028150441125035286,
-0.04731227084994316,
0.02588312327861786,
-0.058985885232686996,
-0.017641248181462288,
0.00012230688298586756,
0.04118185117840767,
-0.03245377913117409,
0.0328403078019619,
-0.031411852687597275,
0.05147349461913109,
-0.07889774441719055,
-0.06194029003381729,
0.10026627779006958,
0.042531028389930725,
0.07566842436790466,
0.037312086671590805,
0.13054591417312622,
-0.011104432865977287,
-0.005013847257941961,
-0.0004560649977065623,
-0.07392705231904984,
0.0285725649446249,
0.0373428650200367,
-0.05809568613767624,
-0.04031028226017952,
0.00040700496174395084,
0.002257386688143015,
0.0008196006529033184,
0.02594750002026558,
0.08348488807678223,
-0.023928551003336906,
-0.022130122408270836,
-0.029205752536654472,
-0.0030429563485085964,
0.059201110154390335,
-0.08791955560445786,
-0.015522235073149204,
0.036486394703388214,
0.07653514295816422,
0.008373296819627285,
0.047829609364271164,
0.004842793568968773,
-0.01437814999371767,
-0.029649628326296806,
-0.008498461917042732,
0.014732006937265396,
0.00986125785857439,
-0.03726956993341446,
0.0226428359746933,
-0.021276341751217842,
0.025192096829414368,
-0.05588086321949959,
-0.015593346208333969,
0.02536400593817234,
0.006411251146346331,
0.03445671871304512,
0.03679328411817551,
0.07398366928100586,
0.08837469667196274,
0.015611452981829643,
0.011585311964154243,
0.07893449068069458,
-0.014964770525693893,
0.047919902950525284,
0.05083456262946129,
-0.06243523210287094,
0.08626293390989304,
-0.038340434432029724,
-0.06483319401741028,
0.08006905764341354,
-0.00020281625620555133,
-0.06851208209991455,
0.06054253131151199,
0.06684686988592148,
0.011391150765120983,
-0.003269753186032176,
-0.0698934867978096,
0.09809671342372894,
0.03152108192443848,
-0.0394536629319191,
0.03549131006002426,
0.04715334624052048,
-0.020139945670962334,
-0.004134192131459713,
-0.023910878226161003,
-0.020435329526662827,
0.053083788603544235,
0.08309980481863022,
0.009102270938456059,
-0.05839978903532028,
7.426583760031142e-33,
0.022367261350154877,
0.007867665961384773,
0.008048602379858494,
0.03414696455001831,
-0.07961881905794144,
-0.019902734085917473,
-0.09785643965005875,
0.019906258210539818,
-0.050864920020103455,
-0.022216856479644775,
-0.051584888249635696,
0.046393733471632004,
0.02083861082792282,
-0.08726503700017929,
0.057041604071855545,
0.009748569689691067,
-0.016498036682605743,
0.03425704687833786,
-0.010788806714117527,
0.02638355828821659,
0.030307957902550697,
-0.0563177764415741,
0.012241662479937077,
-0.010284214280545712,
0.03572871536016464,
0.09265821427106857,
0.00648223701864481,
-0.03920390084385872,
-0.08593180030584335,
0.0047884671948850155,
0.007585914805531502,
0.021883461624383926,
-0.03532663360238075,
0.04546373710036278,
0.053783755749464035,
0.05793887376785278,
-0.0868033692240715,
0.04784809425473213,
-0.017906924709677696,
-0.026282908394932747,
0.04802273213863373,
0.04010448232293129,
-0.055062226951122284,
0.01520126685500145,
0.03158467635512352,
-0.08399125933647156,
-0.03668564558029175,
-0.08972427994012833,
0.10225281864404678,
-0.01690283603966236,
-0.022049928084015846,
0.027343807741999626,
0.02187952771782875,
0.01676212064921856,
0.0398007370531559,
0.05841437354683876,
0.05890678986907005,
-0.06180870532989502,
0.03384485840797424,
0.15145918726921082,
0.0062503935769200325,
0.0687408298254013,
0.04414454847574234,
0.05798305943608284,
-0.04353838413953781,
0.06006450951099396,
-0.0828205943107605,
0.012458263896405697,
-0.02840084210038185,
0.04293091222643852,
-0.03516365960240364,
0.02565697208046913,
0.0883648544549942,
-0.02447270043194294,
0.05662956461310387,
-0.006813917774707079,
-0.05525220185518265,
-0.028279585763812065,
0.025166451930999756,
-0.06576596945524216,
0.011616301722824574,
-0.08020012080669403,
0.06764436513185501,
-0.010635720565915108,
-0.11122653633356094,
-0.11299701780080795,
-0.06093039736151695,
0.0005695807631127536,
0.014803255908191204,
-0.08438075333833694,
0.11003169417381287,
-0.008724608458578587,
-0.03218425065279007,
-0.07539774477481842,
-0.10497267544269562,
-8.741906837303587e-33,
0.030566370114684105,
-0.005845622159540653,
0.038934819400310516,
0.04623221606016159,
-0.07771173864603043,
0.0038304522167891264,
-0.016235971823334694,
0.021826019510626793,
-0.01849329099059105,
-0.0027993344701826572,
0.04215845838189125,
0.05509905144572258,
-0.05140690878033638,
-0.059016153216362,
0.020233971998095512,
0.009166916832327843,
0.022873373702168465,
-0.014348837547004223,
0.09430117160081863,
-0.028599217534065247,
0.06786994636058807,
-0.07212108373641968,
0.01623418554663658,
-0.06006978079676628,
-0.019354170188307762,
-0.013720507733523846,
0.06371644139289856,
-0.06650863587856293,
0.03173595666885376,
-0.07908356189727783,
-0.09523341804742813,
-0.03874488174915314,
0.021644989028573036,
-0.03152784705162048,
0.02915373630821705,
-0.06877447664737701,
0.006811709608882666,
-0.007002118043601513,
0.013877355493605137,
-0.07262994349002838,
0.004905718378722668,
0.11022765934467316,
-0.08187801390886307,
-0.025472108274698257,
0.09404343366622925,
0.006010170094668865,
-0.01776963286101818,
0.09204912930727005,
0.12142910808324814,
-0.031871628016233444,
0.04742977023124695,
-0.013944716192781925,
-0.02028302662074566,
0.023017272353172302,
0.006172463297843933,
0.05166836455464363,
0.04180864244699478,
-0.010871638543903828,
-0.01841091737151146,
0.01083179097622633,
-0.012830774299800396,
-0.027446303516626358,
0.14130787551403046,
0.02662789449095726,
-0.07551001757383347,
-0.0950467586517334,
0.015214591287076473,
0.0025836883578449488,
-0.06258139759302139,
0.022828958928585052,
0.00047013620496727526,
-0.033006295561790466,
0.04519597813487053,
-0.02432987466454506,
0.007029697299003601,
-0.03019624762237072,
0.02365974336862564,
-0.06527094542980194,
-0.004834263119846582,
-0.02227115072309971,
-0.04710474982857704,
0.061125125735998154,
-0.009629501029849052,
-0.052560947835445404,
0.12549957633018494,
-0.012206651270389557,
-0.028477905318140984,
-0.043774425983428955,
-0.03620303049683571,
-0.048561181873083115,
-0.010315210558474064,
-0.04382101073861122,
-0.005596073344349861,
0.016027897596359253,
0.008621101267635822,
-5.874386843629509e-8,
0.04941210523247719,
-0.021307963877916336,
-0.05053872987627983,
0.058110255748033524,
-0.019816849380731583,
-0.01875283382833004,
-0.008666660636663437,
0.002943032421171665,
0.03125692903995514,
-0.06337051838636398,
0.07170315086841583,
0.011038141325116158,
-0.07787599414587021,
-0.005565402563661337,
0.03851050138473511,
0.004474068991839886,
0.00015633038128726184,
-0.047180499881505966,
-0.03344335779547691,
0.04429897665977478,
0.02889637090265751,
0.031358834356069565,
0.0913536474108696,
-0.07808683812618256,
0.016284186393022537,
0.037451405078172684,
0.016767652705311775,
0.04078919067978859,
0.02889995649456978,
-0.1236678808927536,
-0.03133908659219742,
-0.05634136497974396,
0.0572890043258667,
-0.021665796637535095,
0.001018970157019794,
0.01715889386832714,
-0.040218085050582886,
0.03790553659200668,
0.03297486528754234,
0.04468121752142906,
-0.07263015955686569,
-0.07447589188814163,
-0.0059625389985740185,
0.025522317737340927,
0.10208675265312195,
0.0383877195417881,
-0.07722330093383789,
-0.01658758521080017,
-0.04972250759601593,
0.02209918200969696,
-0.03149934858083725,
0.026525314897298813,
-0.013675141148269176,
-0.04504653811454773,
-0.06469279527664185,
0.10752934962511063,
-0.07730545103549957,
0.004136146977543831,
0.03928123414516449,
-0.048633065074682236,
0.1465795934200287,
-0.10810865461826324,
-0.15021859109401703,
-0.037906233221292496
] |
1402.2965
|
Bin Jiang
|
Bin Jiang, Junjun Yin, and Qingling Liu
|
Zipf's Law for All the Natural Cities around the World
|
20 pages, 6 figures, 2 tables
|
International Journal of Geographical Information Science, 29(3),
498-522, 2015
|
10.1080/13658816.2014.988715
| null |
nlin.AO physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two fundamental issues surrounding research on Zipf's law regarding city
sizes are whether and why this law holds. This paper does not deal with the
latter issue with respect to why, and instead investigates whether Zipf's law
holds in a global setting, thus involving all cities around the world. Unlike
previous studies, which have mainly relied on conventional census data such as
populations, and census-bureau-imposed definitions of cities, we adopt
naturally (in terms of data speaks for itself) delineated cities, or natural
cities, to be more precise, in order to examine Zipf's law. We find that Zipf's
law holds remarkably well for all natural cities at the global level, and
remains almost valid at the continental level except for Africa at certain time
instants. We further examine the law at the country level, and note that Zipf's
law is violated from country to country or from time to time. This violation is
mainly due to our limitations; we are limited to individual countries, or to a
static view on city-size distributions. The central argument of this paper is
that Zipf's law is universal, and we therefore must use the correct scope in
order to observe it. We further find Zipf's law applied to city numbers; the
number of cities in the first largest country is twice as many as that in the
second largest country, three times as many as that in the third largest
country, and so on. These findings have profound implications for big data and
the science of cities.
Keywords: Night-time imagery, city-size distributions, head/tail division
rule, head/tail breaks, big data
|
[
{
"created": "Wed, 12 Feb 2014 20:34:18 GMT",
"version": "v1"
},
{
"created": "Wed, 21 May 2014 06:32:31 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Sep 2014 18:40:34 GMT",
"version": "v3"
},
{
"created": "Mon, 3 Nov 2014 11:55:56 GMT",
"version": "v4"
}
] |
2020-11-09
|
[
[
"Jiang",
"Bin",
""
],
[
"Yin",
"Junjun",
""
],
[
"Liu",
"Qingling",
""
]
] |
[
-0.013332417234778404,
0.007134038023650646,
0.018739789724349976,
0.03989406302571297,
0.09951373189687729,
0.005448000505566597,
-0.025724545121192932,
-0.03103305585682392,
-0.029113708063960075,
0.14810505509376526,
0.036364682018756866,
-0.05546525493264198,
-0.005825839005410671,
0.07258147746324539,
0.002509864280000329,
-0.02969307266175747,
-0.03022928722202778,
0.028982752934098244,
-0.05585695803165436,
0.01941862888634205,
0.02370036020874977,
-0.006268960889428854,
0.04244445264339447,
0.018017081543803215,
-0.027955759316682816,
-0.06698516756296158,
0.0002806598786264658,
0.013549202121794224,
-0.004307977389544249,
-0.000542100053280592,
0.02213568240404129,
0.13895756006240845,
0.07890131324529648,
0.05841823294758797,
0.05459332838654518,
-0.06838838756084442,
0.02268979325890541,
0.02804064005613327,
-0.032432328909635544,
0.08844306319952011,
0.0984577164053917,
-0.025470683351159096,
-0.00021455080423038453,
0.03422122821211815,
-0.054993703961372375,
0.07161403447389603,
0.07539549469947815,
0.1006382554769516,
-0.07269330322742462,
0.023985957726836205,
-0.0003267732390668243,
0.15045028924942017,
-0.07949654012918472,
0.015249546617269516,
-0.01131469663232565,
-0.062190014868974686,
0.005247263703495264,
-0.055568188428878784,
-0.0016688995528966188,
-0.022718999534845352,
0.029184050858020782,
0.03812989965081215,
-0.07499273866415024,
-0.005079758819192648,
0.036929674446582794,
0.028470532968640327,
-0.019786451011896133,
0.0691748782992363,
-0.044479820877313614,
-0.016796549782156944,
0.05525132268667221,
0.0005931831547059119,
-0.08144611120223999,
0.08901111781597137,
-0.020598461851477623,
-0.040318652987480164,
-0.03760524466633797,
0.05379757657647133,
-0.0221762266010046,
-0.011813842691481113,
-0.038850512355566025,
-0.03204108029603958,
0.062460750341415405,
-0.08526920527219772,
0.026224782690405846,
-0.03931935504078865,
0.008802542462944984,
0.00962848961353302,
0.014754485338926315,
-0.026093650609254837,
0.04026825353503227,
0.07314682751893997,
0.07776643335819244,
0.05947566032409668,
0.028420468792319298,
-0.01488247700035572,
0.003421984612941742,
-0.04214164614677429,
0.010007278062403202,
0.04355672001838684,
-0.05057375133037567,
-0.05728427693247795,
0.07808517664670944,
0.012295173481106758,
0.008277704939246178,
-0.0668773353099823,
-0.019997628405690193,
-0.02733546495437622,
-0.04332760348916054,
0.0360768586397171,
-0.011420788243412971,
-0.004222307354211807,
-0.0345633327960968,
0.006617813371121883,
0.009044509381055832,
-0.014911501668393612,
0.028017260134220123,
0.05908513814210892,
0.002564822556450963,
-0.04354386776685715,
0.004285169765353203,
-0.027496980503201485,
-0.09312529861927032,
-0.011568261310458183,
0.008530208840966225,
0.05809151381254196,
0.04709387570619583,
1.6435124674853887e-33,
-0.020822003483772278,
-0.08807966858148575,
0.01915314607322216,
0.060899410396814346,
-0.016991298645734787,
-0.044109053909778595,
-0.030552031472325325,
0.02157468907535076,
0.019878510385751724,
0.0545145682990551,
-0.003934512380510569,
0.011013519018888474,
0.07087436318397522,
0.06068427115678787,
0.04463980719447136,
0.07584720104932785,
0.0774083137512207,
0.017272327095270157,
-0.004951493348926306,
0.0391603522002697,
0.07585888355970383,
-0.03474805876612663,
0.04118221998214722,
-0.023416105657815933,
-0.028241101652383804,
-0.02475649304687977,
-0.037688396871089935,
-0.05480207875370979,
0.02893226221203804,
0.023575853556394577,
0.008854009211063385,
0.0356900729238987,
0.032809581607580185,
-0.026385432109236717,
-0.023568833246827126,
0.03152278810739517,
-0.025919852778315544,
0.0020772169809788465,
-0.09926335513591766,
-0.01678292639553547,
-0.06697888672351837,
-0.048830803483724594,
-0.0035265691112726927,
-0.00861525908112526,
0.05919499695301056,
-0.03380543366074562,
0.04493476822972298,
-0.009103330783545971,
0.0032789006363600492,
0.02578158862888813,
0.07017923891544342,
0.011385413818061352,
-0.026834426447749138,
-0.02891375683248043,
0.02499893121421337,
0.06685953587293625,
-0.09011701494455338,
0.006960175931453705,
0.008538985624909401,
0.08309704810380936,
-0.0710165947675705,
0.012771903537213802,
0.04491801559925079,
0.02297782152891159,
0.08321603387594223,
-0.019647890701889992,
0.015338079072535038,
0.03236487880349159,
0.07588692009449005,
-0.05535351485013962,
0.06839978694915771,
0.030026249587535858,
0.007005899213254452,
0.023166809231042862,
-0.008536091074347496,
0.040294356644153595,
0.07641873508691788,
-0.01929631642997265,
0.022354062646627426,
-0.05684986338019371,
0.001580319949425757,
-0.07090407609939575,
-0.024488629773259163,
-0.03533584624528885,
0.028455259278416634,
-0.055376142263412476,
0.02975187636911869,
0.05073907598853111,
-0.00662046717479825,
-0.0638461485505104,
-0.027968134731054306,
-0.044583290815353394,
-0.005264915060251951,
-0.10136383771896362,
0.020354364067316055,
-3.274276331394125e-33,
-0.043897029012441635,
-0.04699433222413063,
-0.05702664703130722,
-0.012723435647785664,
-0.09054466336965561,
-0.012401123531162739,
-0.053196169435977936,
-0.008560462854802608,
-0.06079608201980591,
-0.10512668639421463,
-0.11957910656929016,
-0.09729611873626709,
0.15541048347949982,
0.01117818895727396,
-0.007997973822057247,
0.01740444079041481,
0.026732761412858963,
-0.055162716656923294,
-0.060989439487457275,
0.02038276009261608,
-0.0072048744186758995,
-0.07571544498205185,
-0.07264845818281174,
-0.03033294714987278,
-0.061816975474357605,
-0.07312341779470444,
-0.16544967889785767,
-0.013278909027576447,
0.003288793843239546,
0.02496541664004326,
-0.10402046144008636,
0.014420943334698677,
-0.10633397102355957,
0.024396846070885658,
-0.053988803178071976,
-0.05847429856657982,
0.06798955798149109,
0.04537827894091606,
-0.05266844108700752,
-0.020917490124702454,
-0.06601034849882126,
-0.011969299986958504,
0.06098904088139534,
-0.030321191996335983,
0.019212959334254265,
0.01841665804386139,
-0.04766136780381203,
0.036913108080625534,
-0.026509195566177368,
-0.06464740633964539,
-0.004799747373908758,
0.09335796535015106,
-0.03550129383802414,
0.022464897483587265,
0.03073529526591301,
0.013193711638450623,
-0.022185806185007095,
0.018291253596544266,
-0.08318941295146942,
-0.03470451012253761,
0.02173418179154396,
0.011586577631533146,
-0.0550185926258564,
0.030770186334848404,
-0.024298716336488724,
-0.09783563017845154,
-0.04296281188726425,
-0.08996360003948212,
0.07495816051959991,
-0.03540147468447685,
0.031736109405756,
-0.030933871865272522,
-0.06931574642658234,
-0.027163555845618248,
-0.03153443709015846,
0.06264512985944748,
0.1225399523973465,
0.08271744102239609,
0.005472804419696331,
0.01862836629152298,
0.018201211467385292,
0.028804751113057137,
-0.013443099334836006,
-0.017423124983906746,
-0.018481919541954994,
-0.006624281406402588,
0.11108678579330444,
-0.11105528473854065,
0.05072589963674545,
0.08526509255170822,
-0.0771881565451622,
0.031855467706918716,
-0.08201751112937927,
0.012658088468015194,
0.024439290165901184,
-4.639146666818306e-8,
0.0005070479237474501,
0.125194251537323,
-0.036062732338905334,
0.019151855260133743,
-0.010237141512334347,
0.07797834277153015,
0.041106343269348145,
0.03314751759171486,
-0.08076361566781998,
0.04211578890681267,
0.11040674149990082,
0.08314687013626099,
0.025613868609070778,
0.0337020605802536,
-0.048292264342308044,
-0.01517310831695795,
0.026307616382837296,
-0.02492375299334526,
-0.011463440023362637,
0.09776581823825836,
0.002861695596948266,
0.06845898181200027,
-0.011013578623533249,
-0.022809229791164398,
0.10933110862970352,
-0.028720205649733543,
-0.045853883028030396,
-0.007212169002741575,
0.009584451094269753,
0.03602922335267067,
0.04740187153220177,
-0.010085283778607845,
-0.01454888004809618,
-0.04267813637852669,
0.07985898107290268,
-0.04693039879202843,
-0.05280540511012077,
0.014611135236918926,
0.026293782517313957,
-0.0728931650519371,
0.03553596884012222,
-0.025616265833377838,
-0.03626636415719986,
0.007716181688010693,
0.05247391760349274,
-0.09080944210290909,
-0.03025425225496292,
0.00480645103380084,
-0.006323627196252346,
0.015496479347348213,
-0.0628875270485878,
-0.018297133967280388,
-0.08861976861953735,
-0.001010974869132042,
0.09734147787094116,
0.01979600265622139,
-0.025170249864459038,
-0.01036532036960125,
-0.007810484617948532,
0.019553611055016518,
0.011292294599115849,
0.027196500450372696,
-0.10429170727729797,
-0.009865044616162777
] | null | null | null | null | null | null | null |
[
-0.013332417234778404,
0.007134038023650646,
0.018739789724349976,
0.03989406302571297,
0.09951373189687729,
0.005448000505566597,
-0.025724545121192932,
-0.03103305585682392,
-0.029113708063960075,
0.14810505509376526,
0.036364682018756866,
-0.05546525493264198,
-0.005825839005410671,
0.07258147746324539,
0.002509864280000329,
-0.02969307266175747,
-0.03022928722202778,
0.028982752934098244,
-0.05585695803165436,
0.01941862888634205,
0.02370036020874977,
-0.006268960889428854,
0.04244445264339447,
0.018017081543803215,
-0.027955759316682816,
-0.06698516756296158,
0.0002806598786264658,
0.013549202121794224,
-0.004307977389544249,
-0.000542100053280592,
0.02213568240404129,
0.13895756006240845,
0.07890131324529648,
0.05841823294758797,
0.05459332838654518,
-0.06838838756084442,
0.02268979325890541,
0.02804064005613327,
-0.032432328909635544,
0.08844306319952011,
0.0984577164053917,
-0.025470683351159096,
-0.00021455080423038453,
0.03422122821211815,
-0.054993703961372375,
0.07161403447389603,
0.07539549469947815,
0.1006382554769516,
-0.07269330322742462,
0.023985957726836205,
-0.0003267732390668243,
0.15045028924942017,
-0.07949654012918472,
0.015249546617269516,
-0.01131469663232565,
-0.062190014868974686,
0.005247263703495264,
-0.055568188428878784,
-0.0016688995528966188,
-0.022718999534845352,
0.029184050858020782,
0.03812989965081215,
-0.07499273866415024,
-0.005079758819192648,
0.036929674446582794,
0.028470532968640327,
-0.019786451011896133,
0.0691748782992363,
-0.044479820877313614,
-0.016796549782156944,
0.05525132268667221,
0.0005931831547059119,
-0.08144611120223999,
0.08901111781597137,
-0.020598461851477623,
-0.040318652987480164,
-0.03760524466633797,
0.05379757657647133,
-0.0221762266010046,
-0.011813842691481113,
-0.038850512355566025,
-0.03204108029603958,
0.062460750341415405,
-0.08526920527219772,
0.026224782690405846,
-0.03931935504078865,
0.008802542462944984,
0.00962848961353302,
0.014754485338926315,
-0.026093650609254837,
0.04026825353503227,
0.07314682751893997,
0.07776643335819244,
0.05947566032409668,
0.028420468792319298,
-0.01488247700035572,
0.003421984612941742,
-0.04214164614677429,
0.010007278062403202,
0.04355672001838684,
-0.05057375133037567,
-0.05728427693247795,
0.07808517664670944,
0.012295173481106758,
0.008277704939246178,
-0.0668773353099823,
-0.019997628405690193,
-0.02733546495437622,
-0.04332760348916054,
0.0360768586397171,
-0.011420788243412971,
-0.004222307354211807,
-0.0345633327960968,
0.006617813371121883,
0.009044509381055832,
-0.014911501668393612,
0.028017260134220123,
0.05908513814210892,
0.002564822556450963,
-0.04354386776685715,
0.004285169765353203,
-0.027496980503201485,
-0.09312529861927032,
-0.011568261310458183,
0.008530208840966225,
0.05809151381254196,
0.04709387570619583,
1.6435124674853887e-33,
-0.020822003483772278,
-0.08807966858148575,
0.01915314607322216,
0.060899410396814346,
-0.016991298645734787,
-0.044109053909778595,
-0.030552031472325325,
0.02157468907535076,
0.019878510385751724,
0.0545145682990551,
-0.003934512380510569,
0.011013519018888474,
0.07087436318397522,
0.06068427115678787,
0.04463980719447136,
0.07584720104932785,
0.0774083137512207,
0.017272327095270157,
-0.004951493348926306,
0.0391603522002697,
0.07585888355970383,
-0.03474805876612663,
0.04118221998214722,
-0.023416105657815933,
-0.028241101652383804,
-0.02475649304687977,
-0.037688396871089935,
-0.05480207875370979,
0.02893226221203804,
0.023575853556394577,
0.008854009211063385,
0.0356900729238987,
0.032809581607580185,
-0.026385432109236717,
-0.023568833246827126,
0.03152278810739517,
-0.025919852778315544,
0.0020772169809788465,
-0.09926335513591766,
-0.01678292639553547,
-0.06697888672351837,
-0.048830803483724594,
-0.0035265691112726927,
-0.00861525908112526,
0.05919499695301056,
-0.03380543366074562,
0.04493476822972298,
-0.009103330783545971,
0.0032789006363600492,
0.02578158862888813,
0.07017923891544342,
0.011385413818061352,
-0.026834426447749138,
-0.02891375683248043,
0.02499893121421337,
0.06685953587293625,
-0.09011701494455338,
0.006960175931453705,
0.008538985624909401,
0.08309704810380936,
-0.0710165947675705,
0.012771903537213802,
0.04491801559925079,
0.02297782152891159,
0.08321603387594223,
-0.019647890701889992,
0.015338079072535038,
0.03236487880349159,
0.07588692009449005,
-0.05535351485013962,
0.06839978694915771,
0.030026249587535858,
0.007005899213254452,
0.023166809231042862,
-0.008536091074347496,
0.040294356644153595,
0.07641873508691788,
-0.01929631642997265,
0.022354062646627426,
-0.05684986338019371,
0.001580319949425757,
-0.07090407609939575,
-0.024488629773259163,
-0.03533584624528885,
0.028455259278416634,
-0.055376142263412476,
0.02975187636911869,
0.05073907598853111,
-0.00662046717479825,
-0.0638461485505104,
-0.027968134731054306,
-0.044583290815353394,
-0.005264915060251951,
-0.10136383771896362,
0.020354364067316055,
-3.274276331394125e-33,
-0.043897029012441635,
-0.04699433222413063,
-0.05702664703130722,
-0.012723435647785664,
-0.09054466336965561,
-0.012401123531162739,
-0.053196169435977936,
-0.008560462854802608,
-0.06079608201980591,
-0.10512668639421463,
-0.11957910656929016,
-0.09729611873626709,
0.15541048347949982,
0.01117818895727396,
-0.007997973822057247,
0.01740444079041481,
0.026732761412858963,
-0.055162716656923294,
-0.060989439487457275,
0.02038276009261608,
-0.0072048744186758995,
-0.07571544498205185,
-0.07264845818281174,
-0.03033294714987278,
-0.061816975474357605,
-0.07312341779470444,
-0.16544967889785767,
-0.013278909027576447,
0.003288793843239546,
0.02496541664004326,
-0.10402046144008636,
0.014420943334698677,
-0.10633397102355957,
0.024396846070885658,
-0.053988803178071976,
-0.05847429856657982,
0.06798955798149109,
0.04537827894091606,
-0.05266844108700752,
-0.020917490124702454,
-0.06601034849882126,
-0.011969299986958504,
0.06098904088139534,
-0.030321191996335983,
0.019212959334254265,
0.01841665804386139,
-0.04766136780381203,
0.036913108080625534,
-0.026509195566177368,
-0.06464740633964539,
-0.004799747373908758,
0.09335796535015106,
-0.03550129383802414,
0.022464897483587265,
0.03073529526591301,
0.013193711638450623,
-0.022185806185007095,
0.018291253596544266,
-0.08318941295146942,
-0.03470451012253761,
0.02173418179154396,
0.011586577631533146,
-0.0550185926258564,
0.030770186334848404,
-0.024298716336488724,
-0.09783563017845154,
-0.04296281188726425,
-0.08996360003948212,
0.07495816051959991,
-0.03540147468447685,
0.031736109405756,
-0.030933871865272522,
-0.06931574642658234,
-0.027163555845618248,
-0.03153443709015846,
0.06264512985944748,
0.1225399523973465,
0.08271744102239609,
0.005472804419696331,
0.01862836629152298,
0.018201211467385292,
0.028804751113057137,
-0.013443099334836006,
-0.017423124983906746,
-0.018481919541954994,
-0.006624281406402588,
0.11108678579330444,
-0.11105528473854065,
0.05072589963674545,
0.08526509255170822,
-0.0771881565451622,
0.031855467706918716,
-0.08201751112937927,
0.012658088468015194,
0.024439290165901184,
-4.639146666818306e-8,
0.0005070479237474501,
0.125194251537323,
-0.036062732338905334,
0.019151855260133743,
-0.010237141512334347,
0.07797834277153015,
0.041106343269348145,
0.03314751759171486,
-0.08076361566781998,
0.04211578890681267,
0.11040674149990082,
0.08314687013626099,
0.025613868609070778,
0.0337020605802536,
-0.048292264342308044,
-0.01517310831695795,
0.026307616382837296,
-0.02492375299334526,
-0.011463440023362637,
0.09776581823825836,
0.002861695596948266,
0.06845898181200027,
-0.011013578623533249,
-0.022809229791164398,
0.10933110862970352,
-0.028720205649733543,
-0.045853883028030396,
-0.007212169002741575,
0.009584451094269753,
0.03602922335267067,
0.04740187153220177,
-0.010085283778607845,
-0.01454888004809618,
-0.04267813637852669,
0.07985898107290268,
-0.04693039879202843,
-0.05280540511012077,
0.014611135236918926,
0.026293782517313957,
-0.0728931650519371,
0.03553596884012222,
-0.025616265833377838,
-0.03626636415719986,
0.007716181688010693,
0.05247391760349274,
-0.09080944210290909,
-0.03025425225496292,
0.00480645103380084,
-0.006323627196252346,
0.015496479347348213,
-0.0628875270485878,
-0.018297133967280388,
-0.08861976861953735,
-0.001010974869132042,
0.09734147787094116,
0.01979600265622139,
-0.025170249864459038,
-0.01036532036960125,
-0.007810484617948532,
0.019553611055016518,
0.011292294599115849,
0.027196500450372696,
-0.10429170727729797,
-0.009865044616162777
] |
1402.2967
|
Jan K\v{r}et\'insk\'y
|
Tom\'a\v{s} Br\'azdil and Krishnendu Chatterjee and Martin Chmel\'ik
and Vojt\v{e}ch Forejt and Jan K\v{r}et\'insk\'y and Marta Kwiatkowska and
David Parker and Mateusz Ujma
|
Verification of Markov Decision Processes using Learning Algorithms
| null | null | null | null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a general framework for applying machine-learning algorithms to
the verification of Markov decision processes (MDPs). The primary goal of these
techniques is to improve performance by avoiding an exhaustive exploration of
the state space. Our framework focuses on probabilistic reachability, which is
a core property for verification, and is illustrated through two distinct
instantiations. The first assumes that full knowledge of the MDP is available,
and performs a heuristic-driven partial exploration of the model, yielding
precise lower and upper bounds on the required probability. The second tackles
the case where we may only sample the MDP, and yields probabilistic guarantees,
again in terms of both the lower and upper bounds, which provides efficient
stopping criteria for the approximation. The latter is the first extension of
statistical model-checking for unbounded properties in MDPs. In contrast with
other related approaches, we do not restrict our attention to time-bounded
(finite-horizon) or discounted properties, nor assume any particular properties
of the MDP. We also show how our techniques extend to LTL objectives. We
present experimental results showing the performance of our framework on
several examples.
|
[
{
"created": "Mon, 10 Feb 2014 15:33:35 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Mar 2014 19:48:47 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Mar 2015 13:59:12 GMT",
"version": "v3"
}
] |
2015-03-31
|
[
[
"Brázdil",
"Tomáš",
""
],
[
"Chatterjee",
"Krishnendu",
""
],
[
"Chmelík",
"Martin",
""
],
[
"Forejt",
"Vojtěch",
""
],
[
"Křetínský",
"Jan",
""
],
[
"Kwiatkowska",
"Marta",
""
],
[
"Parker",
"David",
""
],
[
"Ujma",
"Mateusz",
""
]
] |
[
-0.10033390671014786,
0.013480275869369507,
0.021381743252277374,
-0.05005825683474541,
0.06451278179883957,
-0.031213510781526566,
0.008216631598770618,
-0.04384995996952057,
0.004688683431595564,
0.07554830610752106,
-0.10193421691656113,
-0.02927129529416561,
0.0028366006445139647,
0.03299909085035324,
-0.016464926302433014,
-0.013520311564207077,
0.08477471768856049,
-0.03403696045279503,
-0.021409597247838974,
0.01056862436234951,
0.007956058718264103,
0.007233761250972748,
-0.008551787585020065,
0.014251717366278172,
-0.03424837812781334,
-0.030529480427503586,
0.05971752479672432,
0.000640392187051475,
-0.0020528926979750395,
0.03517396003007889,
0.03046639822423458,
-0.0567505769431591,
-0.018419576808810234,
-0.10653292387723923,
0.08547776192426682,
0.08179505169391632,
-0.026671165600419044,
-0.011855761520564556,
-0.03185966983437538,
-0.014497307129204273,
0.028264787048101425,
-0.09242280572652817,
0.00751135079190135,
0.02400916814804077,
0.026292674243450165,
-0.022939400747418404,
0.07842393964529037,
-0.031172187998890877,
-0.04926255717873573,
-0.04407314211130142,
0.012683809734880924,
0.029035134240984917,
-0.004904402885586023,
0.0013087851693853736,
-0.03868449851870537,
0.02924351952970028,
0.023841485381126404,
-0.023116834461688995,
-0.06404747813940048,
-0.008026113733649254,
-0.10481113940477371,
-0.09782044589519501,
-0.05418405681848526,
-0.02479182556271553,
-0.0808829590678215,
0.02184504084289074,
-0.048104532063007355,
0.056075382977724075,
0.04613344743847847,
0.09119231253862381,
-0.048220254480838776,
0.012912658043205738,
-0.028389379382133484,
0.09089557826519012,
-0.009959883987903595,
-0.02023058384656906,
0.03408491984009743,
-0.05280609801411629,
0.0018296943744644523,
-0.05102459713816643,
-0.07581234723329544,
0.0014747112290933728,
-0.01998176984488964,
-0.0017358534969389439,
0.053657181560993195,
0.025334162637591362,
-0.009294243529438972,
0.0845382884144783,
0.1514320969581604,
0.004381047561764717,
-0.02275713160634041,
0.010328039526939392,
-0.03596106916666031,
-0.021784421056509018,
-0.0019892044365406036,
0.019429132342338562,
-0.0228877030313015,
-0.0854012742638588,
0.00023101425904314965,
0.10219553112983704,
-0.05224312096834183,
0.050416458398103714,
0.01690009795129299,
-0.08858645707368851,
0.0801066905260086,
-0.006271193269640207,
-0.053716327995061874,
0.0015599605394527316,
0.04869086295366287,
-0.08591581135988235,
0.04933192953467369,
0.02392224781215191,
0.03519176319241524,
0.03604580834507942,
0.021513981744647026,
0.026248978450894356,
-0.04146844521164894,
-0.05703414976596832,
-0.045818667858839035,
-0.016736561432480812,
-0.0458485446870327,
0.00816093198955059,
0.06373746693134308,
0.0479462705552578,
-0.0017611145740374923,
-0.04087954759597778,
-0.015682457014918327,
1.5429592113481117e-33,
-0.013686921447515488,
-0.03960171714425087,
0.0877915695309639,
0.0007952150190249085,
-0.014401323162019253,
0.002949863439425826,
0.03226690739393234,
-0.050693679600954056,
0.038300756365060806,
0.039522308856248856,
0.02806108072400093,
-0.0007900224300101399,
-0.017307976260781288,
-0.0517934150993824,
0.08670385181903839,
0.014643650501966476,
-0.004319651983678341,
0.03461995720863342,
-0.03499408811330795,
-0.10549195110797882,
0.08505100756883621,
-0.09649869799613953,
-0.03164711594581604,
0.0066823395900428295,
0.014180445112287998,
-0.02409745752811432,
-0.08253578841686249,
0.042167823761701584,
0.06787943840026855,
0.007986082695424557,
-0.06855062395334244,
0.004150957800447941,
-0.010436288081109524,
0.10553205758333206,
0.003182755783200264,
-0.010896870866417885,
-0.0804256796836853,
-0.015716925263404846,
-0.0043632942251861095,
-0.06001882627606392,
-0.018998606130480766,
-0.057818278670310974,
0.05103336647152901,
0.07946621626615524,
-0.07005301117897034,
-0.09260011464357376,
-0.03157878294587135,
-0.06358161568641663,
-0.04142904281616211,
-0.017344018444418907,
0.13012543320655823,
-0.013148059137165546,
-0.0044548693113029,
-0.06331340223550797,
-0.06405651569366455,
0.03343159705400467,
-0.0053485604003071785,
0.09656320512294769,
-0.007988009601831436,
0.06782981008291245,
0.004263192415237427,
-0.040629737079143524,
-0.0005277406889945269,
-0.005152745172381401,
-0.03501731902360916,
0.10088736563920975,
-0.050122544169425964,
0.060802072286605835,
0.1131075769662857,
-0.04814034327864647,
0.014662998728454113,
-0.0019640792161226273,
0.12606583535671234,
-0.021837305277585983,
0.13311444222927094,
0.01351549755781889,
0.08436337858438492,
0.0018491040682420135,
0.018546000123023987,
0.04995397478342056,
0.04924597963690758,
0.017132293432950974,
-0.013678490184247494,
-0.027521459385752678,
0.019607413560152054,
-0.13158363103866577,
-0.014338035136461258,
-0.053583577275276184,
-0.05765435844659805,
-0.007581157609820366,
-0.1487189084291458,
0.03232968598604202,
-0.02594941295683384,
0.0413537360727787,
0.000794729741755873,
-4.307090279939557e-33,
0.038012418895959854,
-0.10801408439874649,
0.05261886864900589,
0.03889061510562897,
-0.042162586003541946,
-0.09422174841165543,
-0.07820635288953781,
-0.02580578438937664,
-0.016193533316254616,
-0.08670078963041306,
-0.046134911477565765,
-0.016168776899576187,
0.09755407273769379,
-0.020147716626524925,
-0.07101648300886154,
-0.0055633001029491425,
0.008023176342248917,
-0.015611615963280201,
0.013822277076542377,
0.0639137253165245,
0.043835949152708054,
0.04094275087118149,
-0.1072579026222229,
0.04240836575627327,
0.020844226703047752,
0.029994573444128036,
-0.03304477408528328,
0.002364873653277755,
-0.017034312710165977,
0.04703524336218834,
-0.04864778742194176,
-0.044291820377111435,
-0.05573057755827904,
-0.033146776258945465,
0.016554709523916245,
-0.052665144205093384,
0.042038336396217346,
0.04366203770041466,
-0.004841480869799852,
0.11104904115200043,
0.06542663276195526,
-0.057523392140865326,
-0.026893971487879753,
-0.009201114065945148,
-0.0030189938843250275,
-0.023064611479640007,
0.008986907079815865,
0.06121952459216118,
0.01909210905432701,
-0.046165142208337784,
0.013775749132037163,
0.04872456192970276,
0.009453525766730309,
0.05720949545502663,
-0.01295459270477295,
-0.009474974125623703,
-0.032260071486234665,
-0.026837637647986412,
0.06644273549318314,
0.014556003734469414,
-0.07649493962526321,
0.01715698651969433,
-0.03573709726333618,
0.059052642434835434,
0.030597561970353127,
0.029068047180771828,
-0.052659809589385986,
-0.03469507396221161,
0.07206722348928452,
0.04200737550854683,
0.014605213887989521,
0.03118838742375374,
-0.058132074773311615,
0.024113982915878296,
0.0640290156006813,
-0.010645251721143723,
0.07514853030443192,
-0.06122451275587082,
0.03134651854634285,
-0.046760909259319305,
-0.023748470470309258,
-0.009512333199381828,
0.013548614457249641,
0.019898632541298866,
-0.00900987721979618,
0.01445617526769638,
0.03275588899850845,
-0.09472104161977768,
0.05124818906188011,
-0.06121082231402397,
-0.0028921125922352076,
0.0465022511780262,
-0.025045154616236687,
0.05759652704000473,
-0.09773214906454086,
-5.165323813116629e-8,
0.007430823519825935,
0.038353096693754196,
0.10955455154180527,
-0.008463343605399132,
0.15293434262275696,
0.059051286429166794,
-0.05677767097949982,
-0.0025915249716490507,
0.07599152624607086,
-0.03654565289616585,
0.06899326294660568,
0.08109152317047119,
0.013387651182711124,
-0.04457928612828255,
-0.11690409481525421,
-0.005181049928069115,
-0.018002446740865707,
-0.04011823236942291,
-0.02343430183827877,
0.03887413814663887,
-0.011629799380898476,
-0.0086900619789958,
-0.02546556480228901,
-0.00801766850054264,
0.010182568803429604,
-0.05673288181424141,
-0.052280448377132416,
0.004505662713199854,
0.01520470716059208,
0.027847811579704285,
-0.006280857138335705,
0.05000556260347366,
0.09972094744443893,
0.055964548140764236,
0.07524583488702774,
0.11449725925922394,
-0.007722632959485054,
0.011092270724475384,
-0.0014981813728809357,
-0.07218663394451141,
0.04562464356422424,
0.11420372128486633,
-0.07394205033779144,
0.007900802418589592,
-0.0019315427634865046,
-0.02280762791633606,
0.008048192597925663,
-0.060319092124700546,
-0.0033848187886178493,
-0.031240956857800484,
0.034586869180202484,
0.005932387430220842,
0.018127672374248505,
0.014897874556481838,
-0.05168349668383598,
0.042529232800006866,
0.026414018124341965,
-0.0526852123439312,
-0.0165568795055151,
0.04253285378217697,
0.020562218502163887,
0.05503890663385391,
0.01165297906845808,
0.028411244973540306
] | null | null | null | null | null | null | null |
[
-0.10033390671014786,
0.013480275869369507,
0.021381743252277374,
-0.05005825683474541,
0.06451278179883957,
-0.031213510781526566,
0.008216631598770618,
-0.04384995996952057,
0.004688683431595564,
0.07554830610752106,
-0.10193421691656113,
-0.02927129529416561,
0.0028366006445139647,
0.03299909085035324,
-0.016464926302433014,
-0.013520311564207077,
0.08477471768856049,
-0.03403696045279503,
-0.021409597247838974,
0.01056862436234951,
0.007956058718264103,
0.007233761250972748,
-0.008551787585020065,
0.014251717366278172,
-0.03424837812781334,
-0.030529480427503586,
0.05971752479672432,
0.000640392187051475,
-0.0020528926979750395,
0.03517396003007889,
0.03046639822423458,
-0.0567505769431591,
-0.018419576808810234,
-0.10653292387723923,
0.08547776192426682,
0.08179505169391632,
-0.026671165600419044,
-0.011855761520564556,
-0.03185966983437538,
-0.014497307129204273,
0.028264787048101425,
-0.09242280572652817,
0.00751135079190135,
0.02400916814804077,
0.026292674243450165,
-0.022939400747418404,
0.07842393964529037,
-0.031172187998890877,
-0.04926255717873573,
-0.04407314211130142,
0.012683809734880924,
0.029035134240984917,
-0.004904402885586023,
0.0013087851693853736,
-0.03868449851870537,
0.02924351952970028,
0.023841485381126404,
-0.023116834461688995,
-0.06404747813940048,
-0.008026113733649254,
-0.10481113940477371,
-0.09782044589519501,
-0.05418405681848526,
-0.02479182556271553,
-0.0808829590678215,
0.02184504084289074,
-0.048104532063007355,
0.056075382977724075,
0.04613344743847847,
0.09119231253862381,
-0.048220254480838776,
0.012912658043205738,
-0.028389379382133484,
0.09089557826519012,
-0.009959883987903595,
-0.02023058384656906,
0.03408491984009743,
-0.05280609801411629,
0.0018296943744644523,
-0.05102459713816643,
-0.07581234723329544,
0.0014747112290933728,
-0.01998176984488964,
-0.0017358534969389439,
0.053657181560993195,
0.025334162637591362,
-0.009294243529438972,
0.0845382884144783,
0.1514320969581604,
0.004381047561764717,
-0.02275713160634041,
0.010328039526939392,
-0.03596106916666031,
-0.021784421056509018,
-0.0019892044365406036,
0.019429132342338562,
-0.0228877030313015,
-0.0854012742638588,
0.00023101425904314965,
0.10219553112983704,
-0.05224312096834183,
0.050416458398103714,
0.01690009795129299,
-0.08858645707368851,
0.0801066905260086,
-0.006271193269640207,
-0.053716327995061874,
0.0015599605394527316,
0.04869086295366287,
-0.08591581135988235,
0.04933192953467369,
0.02392224781215191,
0.03519176319241524,
0.03604580834507942,
0.021513981744647026,
0.026248978450894356,
-0.04146844521164894,
-0.05703414976596832,
-0.045818667858839035,
-0.016736561432480812,
-0.0458485446870327,
0.00816093198955059,
0.06373746693134308,
0.0479462705552578,
-0.0017611145740374923,
-0.04087954759597778,
-0.015682457014918327,
1.5429592113481117e-33,
-0.013686921447515488,
-0.03960171714425087,
0.0877915695309639,
0.0007952150190249085,
-0.014401323162019253,
0.002949863439425826,
0.03226690739393234,
-0.050693679600954056,
0.038300756365060806,
0.039522308856248856,
0.02806108072400093,
-0.0007900224300101399,
-0.017307976260781288,
-0.0517934150993824,
0.08670385181903839,
0.014643650501966476,
-0.004319651983678341,
0.03461995720863342,
-0.03499408811330795,
-0.10549195110797882,
0.08505100756883621,
-0.09649869799613953,
-0.03164711594581604,
0.0066823395900428295,
0.014180445112287998,
-0.02409745752811432,
-0.08253578841686249,
0.042167823761701584,
0.06787943840026855,
0.007986082695424557,
-0.06855062395334244,
0.004150957800447941,
-0.010436288081109524,
0.10553205758333206,
0.003182755783200264,
-0.010896870866417885,
-0.0804256796836853,
-0.015716925263404846,
-0.0043632942251861095,
-0.06001882627606392,
-0.018998606130480766,
-0.057818278670310974,
0.05103336647152901,
0.07946621626615524,
-0.07005301117897034,
-0.09260011464357376,
-0.03157878294587135,
-0.06358161568641663,
-0.04142904281616211,
-0.017344018444418907,
0.13012543320655823,
-0.013148059137165546,
-0.0044548693113029,
-0.06331340223550797,
-0.06405651569366455,
0.03343159705400467,
-0.0053485604003071785,
0.09656320512294769,
-0.007988009601831436,
0.06782981008291245,
0.004263192415237427,
-0.040629737079143524,
-0.0005277406889945269,
-0.005152745172381401,
-0.03501731902360916,
0.10088736563920975,
-0.050122544169425964,
0.060802072286605835,
0.1131075769662857,
-0.04814034327864647,
0.014662998728454113,
-0.0019640792161226273,
0.12606583535671234,
-0.021837305277585983,
0.13311444222927094,
0.01351549755781889,
0.08436337858438492,
0.0018491040682420135,
0.018546000123023987,
0.04995397478342056,
0.04924597963690758,
0.017132293432950974,
-0.013678490184247494,
-0.027521459385752678,
0.019607413560152054,
-0.13158363103866577,
-0.014338035136461258,
-0.053583577275276184,
-0.05765435844659805,
-0.007581157609820366,
-0.1487189084291458,
0.03232968598604202,
-0.02594941295683384,
0.0413537360727787,
0.000794729741755873,
-4.307090279939557e-33,
0.038012418895959854,
-0.10801408439874649,
0.05261886864900589,
0.03889061510562897,
-0.042162586003541946,
-0.09422174841165543,
-0.07820635288953781,
-0.02580578438937664,
-0.016193533316254616,
-0.08670078963041306,
-0.046134911477565765,
-0.016168776899576187,
0.09755407273769379,
-0.020147716626524925,
-0.07101648300886154,
-0.0055633001029491425,
0.008023176342248917,
-0.015611615963280201,
0.013822277076542377,
0.0639137253165245,
0.043835949152708054,
0.04094275087118149,
-0.1072579026222229,
0.04240836575627327,
0.020844226703047752,
0.029994573444128036,
-0.03304477408528328,
0.002364873653277755,
-0.017034312710165977,
0.04703524336218834,
-0.04864778742194176,
-0.044291820377111435,
-0.05573057755827904,
-0.033146776258945465,
0.016554709523916245,
-0.052665144205093384,
0.042038336396217346,
0.04366203770041466,
-0.004841480869799852,
0.11104904115200043,
0.06542663276195526,
-0.057523392140865326,
-0.026893971487879753,
-0.009201114065945148,
-0.0030189938843250275,
-0.023064611479640007,
0.008986907079815865,
0.06121952459216118,
0.01909210905432701,
-0.046165142208337784,
0.013775749132037163,
0.04872456192970276,
0.009453525766730309,
0.05720949545502663,
-0.01295459270477295,
-0.009474974125623703,
-0.032260071486234665,
-0.026837637647986412,
0.06644273549318314,
0.014556003734469414,
-0.07649493962526321,
0.01715698651969433,
-0.03573709726333618,
0.059052642434835434,
0.030597561970353127,
0.029068047180771828,
-0.052659809589385986,
-0.03469507396221161,
0.07206722348928452,
0.04200737550854683,
0.014605213887989521,
0.03118838742375374,
-0.058132074773311615,
0.024113982915878296,
0.0640290156006813,
-0.010645251721143723,
0.07514853030443192,
-0.06122451275587082,
0.03134651854634285,
-0.046760909259319305,
-0.023748470470309258,
-0.009512333199381828,
0.013548614457249641,
0.019898632541298866,
-0.00900987721979618,
0.01445617526769638,
0.03275588899850845,
-0.09472104161977768,
0.05124818906188011,
-0.06121082231402397,
-0.0028921125922352076,
0.0465022511780262,
-0.025045154616236687,
0.05759652704000473,
-0.09773214906454086,
-5.165323813116629e-8,
0.007430823519825935,
0.038353096693754196,
0.10955455154180527,
-0.008463343605399132,
0.15293434262275696,
0.059051286429166794,
-0.05677767097949982,
-0.0025915249716490507,
0.07599152624607086,
-0.03654565289616585,
0.06899326294660568,
0.08109152317047119,
0.013387651182711124,
-0.04457928612828255,
-0.11690409481525421,
-0.005181049928069115,
-0.018002446740865707,
-0.04011823236942291,
-0.02343430183827877,
0.03887413814663887,
-0.011629799380898476,
-0.0086900619789958,
-0.02546556480228901,
-0.00801766850054264,
0.010182568803429604,
-0.05673288181424141,
-0.052280448377132416,
0.004505662713199854,
0.01520470716059208,
0.027847811579704285,
-0.006280857138335705,
0.05000556260347366,
0.09972094744443893,
0.055964548140764236,
0.07524583488702774,
0.11449725925922394,
-0.007722632959485054,
0.011092270724475384,
-0.0014981813728809357,
-0.07218663394451141,
0.04562464356422424,
0.11420372128486633,
-0.07394205033779144,
0.007900802418589592,
-0.0019315427634865046,
-0.02280762791633606,
0.008048192597925663,
-0.060319092124700546,
-0.0033848187886178493,
-0.031240956857800484,
0.034586869180202484,
0.005932387430220842,
0.018127672374248505,
0.014897874556481838,
-0.05168349668383598,
0.042529232800006866,
0.026414018124341965,
-0.0526852123439312,
-0.0165568795055151,
0.04253285378217697,
0.020562218502163887,
0.05503890663385391,
0.01165297906845808,
0.028411244973540306
] |
1402.2970
|
Piotr Skowron
|
Piotr Skowron and Krzysztof Rzadca and Anwitaman Datta
|
Cooperation and Competition when Bidding for Complex Projects:
Centralized and Decentralized Perspectives
| null | null | null | null |
cs.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To successfully complete a complex project, be it a construction of an
airport or of a backbone IT system, agents (companies or individuals) must form
a team having required competences and resources. A team can be formed either
by the project issuer based on individual agents' offers (centralized
formation); or by the agents themselves (decentralized formation) bidding for a
project as a consortium---in that case many feasible teams compete for the
contract. We investigate rational strategies of the agents (what salary should
they ask? with whom should they team up?). We propose concepts to characterize
the stability of the winning teams and study their computational complexity.
|
[
{
"created": "Wed, 12 Feb 2014 20:52:12 GMT",
"version": "v1"
},
{
"created": "Thu, 8 May 2014 17:16:56 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Sep 2016 16:44:59 GMT",
"version": "v3"
}
] |
2016-09-16
|
[
[
"Skowron",
"Piotr",
""
],
[
"Rzadca",
"Krzysztof",
""
],
[
"Datta",
"Anwitaman",
""
]
] |
[
0.016097642481327057,
0.0008212848915718496,
-0.08667782694101334,
-0.012080883607268333,
-0.01576853170990944,
-0.05338388308882713,
0.026050293818116188,
0.03331390395760536,
0.039958514273166656,
0.04856369271874428,
-0.16401635110378265,
-0.01777162216603756,
0.03718912973999977,
0.08736038953065872,
-0.018941646441817284,
-0.028940171003341675,
-0.00614367937669158,
-0.08313918858766556,
0.017423316836357117,
-0.05698923394083977,
0.005413390230387449,
-0.09246833622455597,
0.003568449057638645,
-0.054853688925504684,
0.00991252064704895,
0.016750141978263855,
-0.010368848219513893,
-0.04650065675377846,
0.04079265519976616,
-0.005291559733450413,
-0.060639359056949615,
0.06335411220788956,
0.06463883817195892,
0.0773930773139,
0.05539019778370857,
0.07354734092950821,
-0.029602253809571266,
0.02836856245994568,
0.06744187325239182,
0.07567494362592697,
-0.052559711039066315,
0.004797891713678837,
-0.01206946186721325,
-0.0459006205201149,
-0.02177555114030838,
0.026742611080408096,
0.020437534898519516,
0.05868937820196152,
-0.030003108084201813,
0.02302035316824913,
-0.043286003172397614,
-0.10354328155517578,
0.04651675745844841,
-0.024674154818058014,
-0.01114516519010067,
-0.03463111072778702,
0.004066493362188339,
-0.06389407813549042,
-0.02485019899904728,
-0.08331061154603958,
0.04533281549811363,
-0.033724237233400345,
-0.06494884938001633,
0.03397872671484947,
0.04326581582427025,
0.0543072335422039,
0.012238823808729649,
0.04942896217107773,
-0.07629416137933731,
-0.0540042370557785,
0.027307361364364624,
-0.06259699910879135,
-0.053616467863321304,
-0.024371294304728508,
0.12021711468696594,
0.04005272313952446,
0.027929803356528282,
0.014754651114344597,
0.07336805015802383,
0.014893857762217522,
0.008082307875156403,
0.024690518155694008,
-0.07714423537254333,
0.08191674202680588,
-0.004486171994358301,
-0.020792610943317413,
0.011184120550751686,
0.018972795456647873,
0.0785515233874321,
0.019925381988286972,
-0.07828474044799805,
0.026780935004353523,
0.03163565695285797,
-0.0032758102752268314,
0.018475685268640518,
0.15015999972820282,
0.057698655873537064,
-0.008404328487813473,
-0.003911567851901054,
0.06019170582294464,
-0.028072966262698174,
-0.016677889972925186,
0.025813614949584007,
-0.06941600888967514,
-0.02991558611392975,
0.014389715157449245,
0.0499839261174202,
-0.03117639385163784,
0.08923903852701187,
-0.022452741861343384,
-0.09006841480731964,
-0.04152969270944595,
-0.012370290234684944,
0.02960076369345188,
-0.010962058790028095,
-0.008844777941703796,
-0.06388493627309799,
0.11442252993583679,
-0.010882758535444736,
-0.047706592828035355,
0.08310308307409286,
-0.03192726522684097,
0.10069010406732559,
0.014134107157588005,
0.05552717670798302,
0.0543181411921978,
-0.027465444058179855,
-2.0191752990822445e-33,
-0.004929118789732456,
0.05541875585913658,
-0.01656227931380272,
0.11550798267126083,
0.0018735115882009268,
-0.07361269742250443,
0.04171093925833702,
0.08013702183961868,
-0.07952331751585007,
0.029227539896965027,
-0.09152022004127502,
0.04533214494585991,
0.04500959813594818,
-0.009885703213512897,
0.11562640219926834,
-0.07229281961917877,
-0.024681085720658302,
-0.001592195127159357,
-0.025542277842760086,
-0.03765914961695671,
0.024997398257255554,
0.005269673187285662,
0.05269748345017433,
-0.03241363912820816,
0.07463061809539795,
-0.029537545517086983,
-0.008851648308336735,
-0.058285780251026154,
0.04642532765865326,
0.01663258671760559,
0.006161852274090052,
0.10019626468420029,
-0.012782171368598938,
0.023933829739689827,
-0.09783769398927689,
0.08163247257471085,
-0.03160275146365166,
-0.02647879160940647,
0.06476317346096039,
0.05549566075205803,
-0.10881159454584122,
0.0014363126829266548,
-0.004062033258378506,
-0.019615139812231064,
0.02557285688817501,
0.014178172685205936,
-0.026683658361434937,
-0.0337427593767643,
-0.058423206210136414,
-0.04556279256939888,
-0.014167957939207554,
0.004129899200052023,
0.03267999738454819,
-0.007398602087050676,
0.07676228135824203,
-0.018824616447091103,
0.020729336887598038,
-0.00859135203063488,
-0.03186976909637451,
0.030171357095241547,
-0.03742852434515953,
-0.0555136576294899,
-0.004345616791397333,
0.09309792518615723,
0.007940283976495266,
0.0551869161427021,
0.031771574169397354,
0.06757201254367828,
0.12266790121793747,
-0.03701704367995262,
-0.008447856642305851,
-0.011370090767741203,
0.00100231624674052,
-0.03666842356324196,
-0.0808788388967514,
-0.05122670531272888,
0.011442231945693493,
0.07617460191249847,
-0.029524246230721474,
0.06812023371458054,
-0.07141662389039993,
0.024012763053178787,
0.025366248562932014,
-0.009262527339160442,
0.009704416617751122,
-0.03376277908682823,
-0.020911894738674164,
0.0226197000592947,
-0.04499278590083122,
0.04396079480648041,
-0.10458692163228989,
0.04338325187563896,
-0.016628270968794823,
0.054223157465457916,
0.04660070687532425,
-1.038280066153378e-34,
-0.009843574836850166,
-0.042288754135370255,
-0.11386509239673615,
0.009290133602917194,
0.08833800256252289,
-0.031015794724225998,
-0.004213237669318914,
-0.07786586880683899,
0.055309101939201355,
0.10508552938699722,
-0.09959530830383301,
-0.039252687245607376,
0.00479674618691206,
-0.042109861969947815,
-0.039191219955682755,
-0.10915423929691315,
0.0535614974796772,
-0.05928400531411171,
0.0248743686825037,
-0.007984967902302742,
0.042850784957408905,
-0.015396376140415668,
-0.06184264272451401,
-0.056535448879003525,
0.08202533423900604,
0.04740799218416214,
-0.06130385398864746,
-0.06711380928754807,
0.04466242715716362,
0.09409341961145401,
0.02350371517241001,
-0.09603399783372879,
-0.050076548010110855,
-0.020599668845534325,
-0.0061922636814415455,
0.05983128398656845,
-0.08507020771503448,
0.01554890163242817,
0.014369934797286987,
0.03292594850063324,
0.02545255422592163,
-0.09011059999465942,
-0.046125978231430054,
-0.03660659119486809,
0.05828177556395531,
-0.029713816940784454,
0.0076728034764528275,
-0.01816667430102825,
-0.004229655954986811,
-0.0508136972784996,
0.042796336114406586,
0.03869162127375603,
-0.03510648384690285,
-0.030125802382826805,
-0.013136838562786579,
0.04773113131523132,
-0.020883943885564804,
-0.0026084764394909143,
0.06439381837844849,
-0.010065562091767788,
-0.034764863550662994,
-0.02906397543847561,
0.04020918533205986,
0.10245179384946823,
-0.05541206896305084,
0.02763400226831436,
-0.023221870884299278,
0.007239446975290775,
-0.023835817351937294,
0.029674863442778587,
-0.034134916961193085,
-0.0565355122089386,
-0.0337069071829319,
0.09403277933597565,
-0.0010323832975700498,
0.03131633624434471,
-0.06467065960168839,
0.04910346120595932,
0.029626719653606415,
-0.013249904848635197,
-0.038368988782167435,
0.07990863919258118,
-0.020979082211852074,
0.03007742203772068,
0.005000579636543989,
0.0062929620034992695,
0.08504422008991241,
0.056765761226415634,
-0.02520522102713585,
0.04723210260272026,
0.0007342193857766688,
-0.06963280588388443,
0.05788199231028557,
-0.04001540690660477,
-0.03708985820412636,
-4.8826723997308363e-8,
-0.0101546635851264,
0.026426242664456367,
0.029870864003896713,
-0.03063356690108776,
-0.0032949354499578476,
-0.09133589267730713,
-0.0008383277454413474,
-0.015523684211075306,
0.012776193208992481,
0.04025831073522568,
0.04701010137796402,
-0.04703506454825401,
-0.0035512775648385286,
0.09484437108039856,
-0.04251628741621971,
0.06862464547157288,
-0.10848885774612427,
0.027966557070612907,
-0.0786396712064743,
-0.09907767176628113,
-0.01508138794451952,
-0.03432127460837364,
-0.08955265581607819,
-0.02641751803457737,
0.0000035066325381194474,
-0.007311685010790825,
-0.09349436312913895,
-0.039056021720170975,
-0.046256959438323975,
0.06382288038730621,
-0.03739514201879501,
0.043399881571531296,
-0.013513807207345963,
0.014658130705356598,
0.03173530474305153,
0.020239457488059998,
-0.007459081709384918,
-0.05316381901502609,
0.016055550426244736,
-0.04752301797270775,
-0.017822755500674248,
0.09765198081731796,
-0.02856343612074852,
-0.012500095181167126,
0.07663246244192123,
-0.03509395942091942,
-0.0913783609867096,
0.004114463459700346,
0.0043443613685667515,
-0.10600580275058746,
-0.027838805690407753,
0.048837337642908096,
-0.06658653169870377,
0.03221758082509041,
0.051529187709093094,
-0.008720165118575096,
0.05285080894827843,
-0.04279548302292824,
0.06614420562982559,
-0.006719538010656834,
-0.0024457185063511133,
0.022808512672781944,
0.004641079343855381,
-0.002869149437174201
] | null | null | null | null | null | null | null |
[
0.016097642481327057,
0.0008212848915718496,
-0.08667782694101334,
-0.012080883607268333,
-0.01576853170990944,
-0.05338388308882713,
0.026050293818116188,
0.03331390395760536,
0.039958514273166656,
0.04856369271874428,
-0.16401635110378265,
-0.01777162216603756,
0.03718912973999977,
0.08736038953065872,
-0.018941646441817284,
-0.028940171003341675,
-0.00614367937669158,
-0.08313918858766556,
0.017423316836357117,
-0.05698923394083977,
0.005413390230387449,
-0.09246833622455597,
0.003568449057638645,
-0.054853688925504684,
0.00991252064704895,
0.016750141978263855,
-0.010368848219513893,
-0.04650065675377846,
0.04079265519976616,
-0.005291559733450413,
-0.060639359056949615,
0.06335411220788956,
0.06463883817195892,
0.0773930773139,
0.05539019778370857,
0.07354734092950821,
-0.029602253809571266,
0.02836856245994568,
0.06744187325239182,
0.07567494362592697,
-0.052559711039066315,
0.004797891713678837,
-0.01206946186721325,
-0.0459006205201149,
-0.02177555114030838,
0.026742611080408096,
0.020437534898519516,
0.05868937820196152,
-0.030003108084201813,
0.02302035316824913,
-0.043286003172397614,
-0.10354328155517578,
0.04651675745844841,
-0.024674154818058014,
-0.01114516519010067,
-0.03463111072778702,
0.004066493362188339,
-0.06389407813549042,
-0.02485019899904728,
-0.08331061154603958,
0.04533281549811363,
-0.033724237233400345,
-0.06494884938001633,
0.03397872671484947,
0.04326581582427025,
0.0543072335422039,
0.012238823808729649,
0.04942896217107773,
-0.07629416137933731,
-0.0540042370557785,
0.027307361364364624,
-0.06259699910879135,
-0.053616467863321304,
-0.024371294304728508,
0.12021711468696594,
0.04005272313952446,
0.027929803356528282,
0.014754651114344597,
0.07336805015802383,
0.014893857762217522,
0.008082307875156403,
0.024690518155694008,
-0.07714423537254333,
0.08191674202680588,
-0.004486171994358301,
-0.020792610943317413,
0.011184120550751686,
0.018972795456647873,
0.0785515233874321,
0.019925381988286972,
-0.07828474044799805,
0.026780935004353523,
0.03163565695285797,
-0.0032758102752268314,
0.018475685268640518,
0.15015999972820282,
0.057698655873537064,
-0.008404328487813473,
-0.003911567851901054,
0.06019170582294464,
-0.028072966262698174,
-0.016677889972925186,
0.025813614949584007,
-0.06941600888967514,
-0.02991558611392975,
0.014389715157449245,
0.0499839261174202,
-0.03117639385163784,
0.08923903852701187,
-0.022452741861343384,
-0.09006841480731964,
-0.04152969270944595,
-0.012370290234684944,
0.02960076369345188,
-0.010962058790028095,
-0.008844777941703796,
-0.06388493627309799,
0.11442252993583679,
-0.010882758535444736,
-0.047706592828035355,
0.08310308307409286,
-0.03192726522684097,
0.10069010406732559,
0.014134107157588005,
0.05552717670798302,
0.0543181411921978,
-0.027465444058179855,
-2.0191752990822445e-33,
-0.004929118789732456,
0.05541875585913658,
-0.01656227931380272,
0.11550798267126083,
0.0018735115882009268,
-0.07361269742250443,
0.04171093925833702,
0.08013702183961868,
-0.07952331751585007,
0.029227539896965027,
-0.09152022004127502,
0.04533214494585991,
0.04500959813594818,
-0.009885703213512897,
0.11562640219926834,
-0.07229281961917877,
-0.024681085720658302,
-0.001592195127159357,
-0.025542277842760086,
-0.03765914961695671,
0.024997398257255554,
0.005269673187285662,
0.05269748345017433,
-0.03241363912820816,
0.07463061809539795,
-0.029537545517086983,
-0.008851648308336735,
-0.058285780251026154,
0.04642532765865326,
0.01663258671760559,
0.006161852274090052,
0.10019626468420029,
-0.012782171368598938,
0.023933829739689827,
-0.09783769398927689,
0.08163247257471085,
-0.03160275146365166,
-0.02647879160940647,
0.06476317346096039,
0.05549566075205803,
-0.10881159454584122,
0.0014363126829266548,
-0.004062033258378506,
-0.019615139812231064,
0.02557285688817501,
0.014178172685205936,
-0.026683658361434937,
-0.0337427593767643,
-0.058423206210136414,
-0.04556279256939888,
-0.014167957939207554,
0.004129899200052023,
0.03267999738454819,
-0.007398602087050676,
0.07676228135824203,
-0.018824616447091103,
0.020729336887598038,
-0.00859135203063488,
-0.03186976909637451,
0.030171357095241547,
-0.03742852434515953,
-0.0555136576294899,
-0.004345616791397333,
0.09309792518615723,
0.007940283976495266,
0.0551869161427021,
0.031771574169397354,
0.06757201254367828,
0.12266790121793747,
-0.03701704367995262,
-0.008447856642305851,
-0.011370090767741203,
0.00100231624674052,
-0.03666842356324196,
-0.0808788388967514,
-0.05122670531272888,
0.011442231945693493,
0.07617460191249847,
-0.029524246230721474,
0.06812023371458054,
-0.07141662389039993,
0.024012763053178787,
0.025366248562932014,
-0.009262527339160442,
0.009704416617751122,
-0.03376277908682823,
-0.020911894738674164,
0.0226197000592947,
-0.04499278590083122,
0.04396079480648041,
-0.10458692163228989,
0.04338325187563896,
-0.016628270968794823,
0.054223157465457916,
0.04660070687532425,
-1.038280066153378e-34,
-0.009843574836850166,
-0.042288754135370255,
-0.11386509239673615,
0.009290133602917194,
0.08833800256252289,
-0.031015794724225998,
-0.004213237669318914,
-0.07786586880683899,
0.055309101939201355,
0.10508552938699722,
-0.09959530830383301,
-0.039252687245607376,
0.00479674618691206,
-0.042109861969947815,
-0.039191219955682755,
-0.10915423929691315,
0.0535614974796772,
-0.05928400531411171,
0.0248743686825037,
-0.007984967902302742,
0.042850784957408905,
-0.015396376140415668,
-0.06184264272451401,
-0.056535448879003525,
0.08202533423900604,
0.04740799218416214,
-0.06130385398864746,
-0.06711380928754807,
0.04466242715716362,
0.09409341961145401,
0.02350371517241001,
-0.09603399783372879,
-0.050076548010110855,
-0.020599668845534325,
-0.0061922636814415455,
0.05983128398656845,
-0.08507020771503448,
0.01554890163242817,
0.014369934797286987,
0.03292594850063324,
0.02545255422592163,
-0.09011059999465942,
-0.046125978231430054,
-0.03660659119486809,
0.05828177556395531,
-0.029713816940784454,
0.0076728034764528275,
-0.01816667430102825,
-0.004229655954986811,
-0.0508136972784996,
0.042796336114406586,
0.03869162127375603,
-0.03510648384690285,
-0.030125802382826805,
-0.013136838562786579,
0.04773113131523132,
-0.020883943885564804,
-0.0026084764394909143,
0.06439381837844849,
-0.010065562091767788,
-0.034764863550662994,
-0.02906397543847561,
0.04020918533205986,
0.10245179384946823,
-0.05541206896305084,
0.02763400226831436,
-0.023221870884299278,
0.007239446975290775,
-0.023835817351937294,
0.029674863442778587,
-0.034134916961193085,
-0.0565355122089386,
-0.0337069071829319,
0.09403277933597565,
-0.0010323832975700498,
0.03131633624434471,
-0.06467065960168839,
0.04910346120595932,
0.029626719653606415,
-0.013249904848635197,
-0.038368988782167435,
0.07990863919258118,
-0.020979082211852074,
0.03007742203772068,
0.005000579636543989,
0.0062929620034992695,
0.08504422008991241,
0.056765761226415634,
-0.02520522102713585,
0.04723210260272026,
0.0007342193857766688,
-0.06963280588388443,
0.05788199231028557,
-0.04001540690660477,
-0.03708985820412636,
-4.8826723997308363e-8,
-0.0101546635851264,
0.026426242664456367,
0.029870864003896713,
-0.03063356690108776,
-0.0032949354499578476,
-0.09133589267730713,
-0.0008383277454413474,
-0.015523684211075306,
0.012776193208992481,
0.04025831073522568,
0.04701010137796402,
-0.04703506454825401,
-0.0035512775648385286,
0.09484437108039856,
-0.04251628741621971,
0.06862464547157288,
-0.10848885774612427,
0.027966557070612907,
-0.0786396712064743,
-0.09907767176628113,
-0.01508138794451952,
-0.03432127460837364,
-0.08955265581607819,
-0.02641751803457737,
0.0000035066325381194474,
-0.007311685010790825,
-0.09349436312913895,
-0.039056021720170975,
-0.046256959438323975,
0.06382288038730621,
-0.03739514201879501,
0.043399881571531296,
-0.013513807207345963,
0.014658130705356598,
0.03173530474305153,
0.020239457488059998,
-0.007459081709384918,
-0.05316381901502609,
0.016055550426244736,
-0.04752301797270775,
-0.017822755500674248,
0.09765198081731796,
-0.02856343612074852,
-0.012500095181167126,
0.07663246244192123,
-0.03509395942091942,
-0.0913783609867096,
0.004114463459700346,
0.0043443613685667515,
-0.10600580275058746,
-0.027838805690407753,
0.048837337642908096,
-0.06658653169870377,
0.03221758082509041,
0.051529187709093094,
-0.008720165118575096,
0.05285080894827843,
-0.04279548302292824,
0.06614420562982559,
-0.006719538010656834,
-0.0024457185063511133,
0.022808512672781944,
0.004641079343855381,
-0.002869149437174201
] |
1402.2991
|
Jean-Michel Muller
|
Stef Graillat (LIP6), Vincent Lef\`evre (Inria Grenoble Rh\^one-Alpes
/ LIP Laboratoire de l'Informatique du Parall\'elisme), Jean-Michel Muller
(Inria Grenoble Rh\^one-Alpes / LIP Laboratoire de l'Informatique du
Parall\'elisme)
|
On the maximum relative error when computing x^n in floating-point
arithmetic
| null | null | null | null |
cs.NA math.NA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we improve the usual relative error bound for the computation
of x^n through iterated multiplications by x in binary floating-point
arithmetic. The obtained error bound is only slightly better than the usual
one, but it is simpler. We also discuss the more general problem of computing
the product of n terms.
|
[
{
"created": "Tue, 11 Feb 2014 20:13:14 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Graillat",
"Stef",
"",
"LIP6"
],
[
"Lefèvre",
"Vincent",
"",
"Inria Grenoble Rhône-Alpes\n / LIP Laboratoire de l'Informatique du Parallélisme"
],
[
"Muller",
"Jean-Michel",
"",
"Inria Grenoble Rhône-Alpes / LIP Laboratoire de l'Informatique du\n Parallélisme"
]
] |
[
-0.029098737984895706,
0.08260710537433624,
-0.05525573715567589,
-0.023650260642170906,
-0.0037990491837263107,
-0.09872466325759888,
0.03597726300358772,
0.008374519646167755,
-0.023014336824417114,
-0.07802783697843552,
-0.013932846486568451,
-0.0023022156674414873,
0.08225900679826736,
-0.03516535460948944,
-0.029531925916671753,
0.06567583978176117,
-0.09130027890205383,
0.11045607924461365,
-0.05791938304901123,
0.022705091163516045,
0.013571836054325104,
0.0030546707566827536,
-0.03129234537482262,
0.05599822849035263,
0.08169031143188477,
-0.025868987664580345,
-0.03345288336277008,
-0.10621485114097595,
0.04740092530846596,
0.055768322199583054,
-0.015780797228217125,
0.013528399169445038,
0.06972745805978775,
-0.050892606377601624,
0.05328510329127312,
0.05101550370454788,
0.13144806027412415,
-0.016009248793125153,
-0.007271216716617346,
0.014895796775817871,
0.013620058074593544,
-0.03818946331739426,
0.03132191300392151,
0.036188311874866486,
-0.0029254313558340073,
0.005017740186303854,
0.054175615310668945,
0.03656817972660065,
0.0008510771440342069,
0.026933221146464348,
0.029328523203730583,
0.07294239103794098,
-0.00047145228018052876,
0.03187984600663185,
-0.03148975968360901,
-0.08220960944890976,
0.024504611268639565,
-0.015875112265348434,
0.012633847072720528,
0.05150910094380379,
0.03845188021659851,
-0.016763560473918915,
0.0033088109921664,
-0.023777147755026817,
-0.007545083295553923,
0.036814600229263306,
0.02613522857427597,
-0.1272103190422058,
-0.08221087604761124,
0.10392919182777405,
-0.0811757743358612,
-0.02958367019891739,
-0.07161214202642441,
-0.029610492289066315,
-0.012738271616399288,
0.020231910049915314,
0.01995854265987873,
-0.09789421409368515,
-0.026087984442710876,
0.039155688136816025,
0.011677108705043793,
0.033693887293338776,
0.028914103284478188,
-0.09729932993650436,
0.06983824819326401,
-0.04465126246213913,
-0.0010333374375477433,
0.029065456241369247,
0.09719587117433548,
0.003345663193613291,
-0.07538511604070663,
-0.06250223517417908,
-0.004560294095426798,
-0.022926609963178635,
0.024615593254566193,
-0.04066183418035507,
0.04553252458572388,
0.009558777324855328,
0.07211148738861084,
0.054346099495887756,
-0.027012767270207405,
-0.052112385630607605,
-0.00355524686165154,
-0.03343743830919266,
-0.015108061954379082,
0.0008401181548833847,
-0.015579832717776299,
0.010799096897244453,
0.016105489805340767,
-0.050375498831272125,
0.031486742198467255,
-0.015133172273635864,
-0.027935976162552834,
0.0542665459215641,
-0.0464237816631794,
0.014934147708117962,
-0.025558555498719215,
0.030339887365698814,
0.024454813450574875,
-0.06052977591753006,
-0.024100633338093758,
0.005176096688956022,
0.10047921538352966,
0.08998695760965347,
0.021228693425655365,
-0.09329698979854584,
-0.0965622290968895,
-2.3965071949040238e-34,
-0.007643601857125759,
0.07439950853586197,
0.030706088989973068,
-0.04385407269001007,
-0.051906075328588486,
0.07299888879060745,
0.03284096345305443,
-0.02411828562617302,
-0.019172240048646927,
0.09892532229423523,
0.01975150592625141,
0.0593147911131382,
0.05261216685175896,
-0.03738778084516525,
0.06647194176912308,
-0.005765899084508419,
0.023454908281564713,
-0.03339633345603943,
0.07018359005451202,
-0.04513658210635185,
0.04675373435020447,
-0.01561141386628151,
-0.01580202579498291,
0.03053816594183445,
-0.055923812091350555,
-0.0043638828210532665,
-0.004360430408269167,
-0.025084827095270157,
0.010481949895620346,
0.03549196943640709,
-0.06116469204425812,
-0.036645032465457916,
0.04331204667687416,
-0.045471806079149246,
0.02929874323308468,
-0.02326812967658043,
0.06861146539449692,
-0.005622603464871645,
0.023088911548256874,
0.0330069437623024,
-0.011375080794095993,
0.005462300032377243,
0.05256526544690132,
-0.05786282196640968,
-0.08353345096111298,
-0.032207246869802475,
-0.016237305477261543,
0.012835228815674782,
0.08499948680400848,
-0.03361544758081436,
-0.04668217897415161,
-0.007906722836196423,
-0.0978093296289444,
0.05183147266507149,
0.09128119796514511,
-0.03757015988230705,
-0.07153793424367905,
0.05421384796500206,
0.027684085071086884,
0.10858848690986633,
-0.018055908381938934,
0.026859456673264503,
-0.012908829376101494,
-0.05783090367913246,
-0.1334206908941269,
0.043717995285987854,
0.06703867018222809,
-0.020694846287369728,
-0.0025131800211966038,
0.018550951033830643,
-0.040736015886068344,
-0.004358880687505007,
-0.019298125058412552,
-0.014685475267469883,
0.07314494252204895,
-0.04822381213307381,
0.02967200241982937,
-0.10686256736516953,
-0.03736275061964989,
0.031572502106428146,
-0.016496621072292328,
0.05831221491098404,
0.04713835194706917,
-0.0649077519774437,
-0.07497972249984741,
-0.07377644628286362,
-0.08048160374164581,
0.010159462690353394,
-0.12004794180393219,
-0.0015131487743929029,
-0.04974021017551422,
-0.014108275063335896,
0.06770703196525574,
-0.008857706561684608,
-0.04419967159628868,
-1.9834127201683996e-33,
-0.11940880864858627,
-0.0636913850903511,
0.0771900862455368,
0.07072241604328156,
0.025751397013664246,
-0.048418156802654266,
0.01018046960234642,
-0.07951375842094421,
0.024020152166485786,
0.0007958514033816755,
-0.05095647647976875,
0.02645375393331051,
-0.025295037776231766,
0.09190977364778519,
0.016758473590016365,
0.08551569283008575,
-0.021619556471705437,
0.08766138553619385,
0.03486589714884758,
-0.03188649192452431,
0.07948208600282669,
0.034133683890104294,
0.07207239419221878,
-0.005907832644879818,
-0.04435330256819725,
0.00857350043952465,
-0.03508239611983299,
0.06837883591651917,
0.052870191633701324,
-0.05628345161676407,
-0.049168653786182404,
-0.04888564720749855,
-0.021214796230196953,
0.02656783163547516,
0.031178371980786324,
-0.0461776927113533,
0.006902693770825863,
0.029465466737747192,
0.01895160600543022,
-0.04144291579723358,
0.026448864489793777,
-0.026406334713101387,
0.036768749356269836,
0.01237544883042574,
0.028787855058908463,
0.03366708382964134,
-0.01718204841017723,
0.04764667525887489,
0.08059149235486984,
0.05291071906685829,
0.023501921445131302,
0.008637269027531147,
0.014381151646375656,
0.05650666728615761,
-0.04103655740618706,
0.0649925097823143,
-0.050853148102760315,
0.09205404669046402,
0.044565945863723755,
-0.004981682635843754,
-0.05731488764286041,
-0.01629810780286789,
0.04511619731783867,
0.052895475178956985,
0.01819480210542679,
0.07504000514745712,
-0.04217635840177536,
-0.01955604925751686,
0.013629228807985783,
0.05864052101969719,
-0.01145977433770895,
-0.01818872056901455,
-0.05106183513998985,
0.0021068882197141647,
-0.15135367214679718,
0.024361027404665947,
0.030747590586543083,
-0.08231678605079651,
0.010602109134197235,
0.004385239444673061,
0.04852725565433502,
0.12609851360321045,
-0.00823563989251852,
-0.08097492903470993,
-0.03825227543711662,
0.012288633733987808,
0.17956885695457458,
0.03699781373143196,
-0.014540870673954487,
-0.09363122284412384,
0.017212113365530968,
0.03968004137277603,
0.010894553735852242,
-0.014290915802121162,
0.01511413510888815,
-3.297042994176991e-8,
-0.013983910903334618,
-0.05901963636279106,
-0.01997057907283306,
-0.02744455635547638,
0.061973489820957184,
0.003432678058743477,
0.032628465443849564,
-0.020013682544231415,
0.007709288038313389,
-0.11470671743154526,
0.012469641864299774,
-0.0314812958240509,
-0.009563013911247253,
-0.0018112511606886983,
-0.0021748561412096024,
-0.029427139088511467,
-0.01863994635641575,
-0.09368172287940979,
-0.019576286897063255,
-0.009692058898508549,
-0.022077254951000214,
0.010386468842625618,
0.06998944282531738,
-0.021728085353970528,
-0.12106440216302872,
-0.048395223915576935,
-0.02460755780339241,
0.005988476797938347,
0.06828171014785767,
-0.00046831154031679034,
0.009335706941783428,
0.034463100135326385,
-0.01304948702454567,
0.06948444992303848,
-0.008895567618310452,
0.011809166520833969,
0.010776900686323643,
0.052093036472797394,
-0.025269348174333572,
-0.022974412888288498,
-0.10014678537845612,
-0.005679365247488022,
0.028906401246786118,
0.0060156285762786865,
0.06127851456403732,
-0.04344653710722923,
-0.03663400933146477,
-0.04132599011063576,
-0.05976252630352974,
-0.003915644250810146,
0.04277663305401802,
0.08722565323114395,
-0.05253087356686592,
-0.03481374308466911,
0.024598732590675354,
0.007935569621622562,
-0.09098708629608154,
-0.11545485258102417,
0.010457702912390232,
0.06176061928272247,
-0.09962168335914612,
0.0006118540768511593,
0.03717367723584175,
-0.010590250603854656
] | null | null | null | null | null | null | null |
[
-0.029098737984895706,
0.08260710537433624,
-0.05525573715567589,
-0.023650260642170906,
-0.0037990491837263107,
-0.09872466325759888,
0.03597726300358772,
0.008374519646167755,
-0.023014336824417114,
-0.07802783697843552,
-0.013932846486568451,
-0.0023022156674414873,
0.08225900679826736,
-0.03516535460948944,
-0.029531925916671753,
0.06567583978176117,
-0.09130027890205383,
0.11045607924461365,
-0.05791938304901123,
0.022705091163516045,
0.013571836054325104,
0.0030546707566827536,
-0.03129234537482262,
0.05599822849035263,
0.08169031143188477,
-0.025868987664580345,
-0.03345288336277008,
-0.10621485114097595,
0.04740092530846596,
0.055768322199583054,
-0.015780797228217125,
0.013528399169445038,
0.06972745805978775,
-0.050892606377601624,
0.05328510329127312,
0.05101550370454788,
0.13144806027412415,
-0.016009248793125153,
-0.007271216716617346,
0.014895796775817871,
0.013620058074593544,
-0.03818946331739426,
0.03132191300392151,
0.036188311874866486,
-0.0029254313558340073,
0.005017740186303854,
0.054175615310668945,
0.03656817972660065,
0.0008510771440342069,
0.026933221146464348,
0.029328523203730583,
0.07294239103794098,
-0.00047145228018052876,
0.03187984600663185,
-0.03148975968360901,
-0.08220960944890976,
0.024504611268639565,
-0.015875112265348434,
0.012633847072720528,
0.05150910094380379,
0.03845188021659851,
-0.016763560473918915,
0.0033088109921664,
-0.023777147755026817,
-0.007545083295553923,
0.036814600229263306,
0.02613522857427597,
-0.1272103190422058,
-0.08221087604761124,
0.10392919182777405,
-0.0811757743358612,
-0.02958367019891739,
-0.07161214202642441,
-0.029610492289066315,
-0.012738271616399288,
0.020231910049915314,
0.01995854265987873,
-0.09789421409368515,
-0.026087984442710876,
0.039155688136816025,
0.011677108705043793,
0.033693887293338776,
0.028914103284478188,
-0.09729932993650436,
0.06983824819326401,
-0.04465126246213913,
-0.0010333374375477433,
0.029065456241369247,
0.09719587117433548,
0.003345663193613291,
-0.07538511604070663,
-0.06250223517417908,
-0.004560294095426798,
-0.022926609963178635,
0.024615593254566193,
-0.04066183418035507,
0.04553252458572388,
0.009558777324855328,
0.07211148738861084,
0.054346099495887756,
-0.027012767270207405,
-0.052112385630607605,
-0.00355524686165154,
-0.03343743830919266,
-0.015108061954379082,
0.0008401181548833847,
-0.015579832717776299,
0.010799096897244453,
0.016105489805340767,
-0.050375498831272125,
0.031486742198467255,
-0.015133172273635864,
-0.027935976162552834,
0.0542665459215641,
-0.0464237816631794,
0.014934147708117962,
-0.025558555498719215,
0.030339887365698814,
0.024454813450574875,
-0.06052977591753006,
-0.024100633338093758,
0.005176096688956022,
0.10047921538352966,
0.08998695760965347,
0.021228693425655365,
-0.09329698979854584,
-0.0965622290968895,
-2.3965071949040238e-34,
-0.007643601857125759,
0.07439950853586197,
0.030706088989973068,
-0.04385407269001007,
-0.051906075328588486,
0.07299888879060745,
0.03284096345305443,
-0.02411828562617302,
-0.019172240048646927,
0.09892532229423523,
0.01975150592625141,
0.0593147911131382,
0.05261216685175896,
-0.03738778084516525,
0.06647194176912308,
-0.005765899084508419,
0.023454908281564713,
-0.03339633345603943,
0.07018359005451202,
-0.04513658210635185,
0.04675373435020447,
-0.01561141386628151,
-0.01580202579498291,
0.03053816594183445,
-0.055923812091350555,
-0.0043638828210532665,
-0.004360430408269167,
-0.025084827095270157,
0.010481949895620346,
0.03549196943640709,
-0.06116469204425812,
-0.036645032465457916,
0.04331204667687416,
-0.045471806079149246,
0.02929874323308468,
-0.02326812967658043,
0.06861146539449692,
-0.005622603464871645,
0.023088911548256874,
0.0330069437623024,
-0.011375080794095993,
0.005462300032377243,
0.05256526544690132,
-0.05786282196640968,
-0.08353345096111298,
-0.032207246869802475,
-0.016237305477261543,
0.012835228815674782,
0.08499948680400848,
-0.03361544758081436,
-0.04668217897415161,
-0.007906722836196423,
-0.0978093296289444,
0.05183147266507149,
0.09128119796514511,
-0.03757015988230705,
-0.07153793424367905,
0.05421384796500206,
0.027684085071086884,
0.10858848690986633,
-0.018055908381938934,
0.026859456673264503,
-0.012908829376101494,
-0.05783090367913246,
-0.1334206908941269,
0.043717995285987854,
0.06703867018222809,
-0.020694846287369728,
-0.0025131800211966038,
0.018550951033830643,
-0.040736015886068344,
-0.004358880687505007,
-0.019298125058412552,
-0.014685475267469883,
0.07314494252204895,
-0.04822381213307381,
0.02967200241982937,
-0.10686256736516953,
-0.03736275061964989,
0.031572502106428146,
-0.016496621072292328,
0.05831221491098404,
0.04713835194706917,
-0.0649077519774437,
-0.07497972249984741,
-0.07377644628286362,
-0.08048160374164581,
0.010159462690353394,
-0.12004794180393219,
-0.0015131487743929029,
-0.04974021017551422,
-0.014108275063335896,
0.06770703196525574,
-0.008857706561684608,
-0.04419967159628868,
-1.9834127201683996e-33,
-0.11940880864858627,
-0.0636913850903511,
0.0771900862455368,
0.07072241604328156,
0.025751397013664246,
-0.048418156802654266,
0.01018046960234642,
-0.07951375842094421,
0.024020152166485786,
0.0007958514033816755,
-0.05095647647976875,
0.02645375393331051,
-0.025295037776231766,
0.09190977364778519,
0.016758473590016365,
0.08551569283008575,
-0.021619556471705437,
0.08766138553619385,
0.03486589714884758,
-0.03188649192452431,
0.07948208600282669,
0.034133683890104294,
0.07207239419221878,
-0.005907832644879818,
-0.04435330256819725,
0.00857350043952465,
-0.03508239611983299,
0.06837883591651917,
0.052870191633701324,
-0.05628345161676407,
-0.049168653786182404,
-0.04888564720749855,
-0.021214796230196953,
0.02656783163547516,
0.031178371980786324,
-0.0461776927113533,
0.006902693770825863,
0.029465466737747192,
0.01895160600543022,
-0.04144291579723358,
0.026448864489793777,
-0.026406334713101387,
0.036768749356269836,
0.01237544883042574,
0.028787855058908463,
0.03366708382964134,
-0.01718204841017723,
0.04764667525887489,
0.08059149235486984,
0.05291071906685829,
0.023501921445131302,
0.008637269027531147,
0.014381151646375656,
0.05650666728615761,
-0.04103655740618706,
0.0649925097823143,
-0.050853148102760315,
0.09205404669046402,
0.044565945863723755,
-0.004981682635843754,
-0.05731488764286041,
-0.01629810780286789,
0.04511619731783867,
0.052895475178956985,
0.01819480210542679,
0.07504000514745712,
-0.04217635840177536,
-0.01955604925751686,
0.013629228807985783,
0.05864052101969719,
-0.01145977433770895,
-0.01818872056901455,
-0.05106183513998985,
0.0021068882197141647,
-0.15135367214679718,
0.024361027404665947,
0.030747590586543083,
-0.08231678605079651,
0.010602109134197235,
0.004385239444673061,
0.04852725565433502,
0.12609851360321045,
-0.00823563989251852,
-0.08097492903470993,
-0.03825227543711662,
0.012288633733987808,
0.17956885695457458,
0.03699781373143196,
-0.014540870673954487,
-0.09363122284412384,
0.017212113365530968,
0.03968004137277603,
0.010894553735852242,
-0.014290915802121162,
0.01511413510888815,
-3.297042994176991e-8,
-0.013983910903334618,
-0.05901963636279106,
-0.01997057907283306,
-0.02744455635547638,
0.061973489820957184,
0.003432678058743477,
0.032628465443849564,
-0.020013682544231415,
0.007709288038313389,
-0.11470671743154526,
0.012469641864299774,
-0.0314812958240509,
-0.009563013911247253,
-0.0018112511606886983,
-0.0021748561412096024,
-0.029427139088511467,
-0.01863994635641575,
-0.09368172287940979,
-0.019576286897063255,
-0.009692058898508549,
-0.022077254951000214,
0.010386468842625618,
0.06998944282531738,
-0.021728085353970528,
-0.12106440216302872,
-0.048395223915576935,
-0.02460755780339241,
0.005988476797938347,
0.06828171014785767,
-0.00046831154031679034,
0.009335706941783428,
0.034463100135326385,
-0.01304948702454567,
0.06948444992303848,
-0.008895567618310452,
0.011809166520833969,
0.010776900686323643,
0.052093036472797394,
-0.025269348174333572,
-0.022974412888288498,
-0.10014678537845612,
-0.005679365247488022,
0.028906401246786118,
0.0060156285762786865,
0.06127851456403732,
-0.04344653710722923,
-0.03663400933146477,
-0.04132599011063576,
-0.05976252630352974,
-0.003915644250810146,
0.04277663305401802,
0.08722565323114395,
-0.05253087356686592,
-0.03481374308466911,
0.024598732590675354,
0.007935569621622562,
-0.09098708629608154,
-0.11545485258102417,
0.010457702912390232,
0.06176061928272247,
-0.09962168335914612,
0.0006118540768511593,
0.03717367723584175,
-0.010590250603854656
] |
1402.2996
|
Valery Vilisov
|
Valery Vilisov
|
Robot Training Under Conditions of Incomplete Information
| null | null | null | null |
cs.RO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The development of the works of the author about adaptive algorithms of
teaching the robotic systems with the help of operator is described here. An
operator is assumed to be an experience decision-maker and sane carrier of a
target which the robotic system needs to achieve. The works characteristic is
that the behavior of the robotic system is not specified a priori (as standard)
but is formed adaptively based on the information about the situation and
decisions made by a decision-maker. In this scheme the robotic system and the
decision-maker can cooperate in the normal operation mode of the robotic system
or in the time sharing mode with the possibility to plan actively the
experiment on the robotic system. If the adaptive scheme is chosen, there are
teaching stages and operating stages of the robotic system. At that the
decision-maker can act slowly having the possibility to weigh the decision
made. This way allows the robotic system reacting flexibly by switching between
preset models and respond to the environment instability. The data integrity
about the environment condition and about target preferences of an operator
plays a very important role in robotic system work. The effective work of the
robotic system depends on the effective settings of a preference model of the
robotic system based on the decisions of the decision-maker and on the
effective control. The influence of settings and control factors on the index
of effectiveness of the robotic system is subject of this work. The uncertainty
may be caused by the data flow limitation received by the operator on the stage
of the model setting.
|
[
{
"created": "Wed, 12 Feb 2014 22:10:52 GMT",
"version": "v1"
}
] |
2015-09-08
|
[
[
"Vilisov",
"Valery",
""
]
] |
[
-0.00983289536088705,
-0.017958786338567734,
-0.012722770683467388,
0.014145119115710258,
-0.027224944904446602,
-0.07970155030488968,
0.017619101330637932,
0.051354896277189255,
-0.033771075308322906,
0.07923717796802521,
0.034053049981594086,
0.06888864189386368,
0.1273961067199707,
-0.006148240529000759,
0.04594152048230171,
0.005742066539824009,
0.09783168137073517,
0.021409999579191208,
-0.12198565900325775,
0.009011069312691689,
0.033292654901742935,
0.015570428222417831,
0.018251271918416023,
0.0323302298784256,
-0.12430782616138458,
-0.016165317967534065,
0.07048311084508896,
-0.0022876248694956303,
0.0030404687859117985,
-0.0829625278711319,
-0.031181974336504936,
-0.02293817140161991,
0.06199916452169418,
-0.07840035110712051,
-0.08252027630805969,
0.013805164955556393,
-0.07911034673452377,
0.026708068326115608,
-0.0208601001650095,
-0.0029386563692241907,
-0.07239024341106415,
-0.008688819594681263,
-0.0038004436064511538,
-0.07785869389772415,
-0.062202803790569305,
0.1100163534283638,
0.0254424586892128,
-0.09591500461101532,
0.06138678267598152,
0.020416582003235817,
-0.07351416349411011,
-0.02748287282884121,
0.003032046603038907,
-0.08078424632549286,
0.046917304396629333,
0.07266645133495331,
-0.020393524318933487,
0.03620648756623268,
0.005856568459421396,
-0.08847791701555252,
-0.03693169727921486,
-0.012186890468001366,
-0.02026471309363842,
-0.03273419290781021,
0.017329182475805283,
-0.04286273941397667,
-0.041629139333963394,
0.03929997608065605,
0.0553017221391201,
-0.007707891054451466,
0.014508556574583054,
0.08066140115261078,
0.025628186762332916,
-0.07228552550077438,
-0.031782567501068115,
-0.01391060184687376,
-0.020754655823111534,
0.05641564354300499,
0.02891555242240429,
-0.008793559856712818,
0.00022760419233236462,
-0.037105802446603775,
-0.08324069529771805,
0.01487868931144476,
0.061822328716516495,
-0.04496278241276741,
0.00986566860228777,
0.022154314443469048,
0.13700278103351593,
0.00938381440937519,
0.011089980602264404,
-0.035180531442165375,
-0.03053349070250988,
-0.018601445481181145,
-0.022717947140336037,
-0.008925623260438442,
0.010557162575423717,
0.029824726283550262,
0.04327401891350746,
0.05143870413303375,
0.01630382053554058,
-0.006595870479941368,
-0.013433188199996948,
0.041877422481775284,
0.010815243236720562,
-0.034481365233659744,
0.010782559402287006,
-0.02514977566897869,
0.07521296292543411,
-0.008429443463683128,
-0.010568706318736076,
-0.06240753084421158,
-0.02047279290854931,
-0.010917633771896362,
-0.06726416200399399,
-0.019852226600050926,
0.01955629140138626,
-0.031269218772649765,
-0.042432885617017746,
-0.0018688226118683815,
0.10983674973249435,
-0.05460123345255852,
0.11131462454795837,
0.00023992860224097967,
0.0755929946899414,
-0.0015860088169574738,
0.036122553050518036,
-1.8072711365114186e-33,
-0.05928000435233116,
-0.0732276663184166,
-0.009648947045207024,
-0.04243319854140282,
0.030195968225598335,
-0.00003388234836165793,
0.014707685448229313,
0.03635643795132637,
0.004606274422258139,
-0.0225678738206625,
-0.022984303534030914,
0.021010873839259148,
-0.07410715520381927,
0.03270160034298897,
0.08103453367948532,
0.007212982978671789,
0.08222603797912598,
0.00509722949936986,
-0.020689474418759346,
0.02100854553282261,
0.03929298743605614,
-0.015222215093672276,
-0.04466614872217178,
-0.08532719314098358,
0.04716071859002113,
-0.02681523934006691,
0.05155644938349724,
0.02418110892176628,
-0.01530487835407257,
0.01190552581101656,
-0.002096937270835042,
0.02920304797589779,
-0.019545944407582283,
0.01635572873055935,
0.013901054859161377,
-0.0032260699663311243,
-0.11993473023176193,
0.04584604501724243,
-0.04214514419436455,
-0.01985318772494793,
0.016916563734412193,
-0.03834360092878342,
-0.01864757016301155,
-0.009038771502673626,
-0.04930844530463219,
-0.03582001104950905,
0.023289496079087257,
0.005694943945854902,
-0.04813140258193016,
-0.0319947674870491,
0.03283362090587616,
0.00818043015897274,
0.023870624601840973,
-0.045088183134794235,
-0.040688883513212204,
-0.030571704730391502,
0.011685623787343502,
0.040816694498062134,
-0.058378901332616806,
0.03141404688358307,
-0.024817267432808876,
0.0019868912640959024,
0.06591948866844177,
0.1334427148103714,
0.07638179510831833,
0.014180644415318966,
0.0020070273894816637,
-0.045742880553007126,
0.06560856103897095,
0.009717357344925404,
-0.07305080443620682,
-0.04145623743534088,
-0.020189223811030388,
0.0356220044195652,
-0.07174639403820038,
-0.015024591237306595,
-0.018137654289603233,
-0.050419196486473083,
-0.02450348064303398,
-0.014627644792199135,
-0.02899472787976265,
-0.0032093962654471397,
-0.011472266167402267,
-0.01693534478545189,
-0.017819449305534363,
-0.042076852172613144,
-0.05535008758306503,
0.0054758707992732525,
0.018710335716605186,
-0.011946925893425941,
-0.022853970527648926,
-0.03256552666425705,
-0.03633825108408928,
0.12613379955291748,
0.034912560135126114,
-1.621244196376999e-33,
0.03073781169950962,
-0.02754906192421913,
0.044796962291002274,
0.05980917811393738,
0.011766740120947361,
-0.011714937165379524,
-0.03937124088406563,
-0.06656039506196976,
-0.03286579251289368,
-0.03934473916888237,
-0.13056762516498566,
-0.020634466782212257,
0.05063190311193466,
0.039593324065208435,
0.024084201082587242,
0.05975109338760376,
-0.09532073885202408,
-0.06197768449783325,
-0.020048370584845543,
0.003687914228066802,
-0.056743137538433075,
0.09358461201190948,
-0.06278649717569351,
-0.000340075435815379,
0.0017443832475692034,
0.024284658953547478,
-0.013822636567056179,
0.10242930799722672,
0.07965108007192612,
0.004599507432430983,
-0.06077117845416069,
-0.07894214987754822,
0.053367048501968384,
0.07053931057453156,
0.009663748554885387,
0.02807278372347355,
0.03579585254192352,
-0.01234324462711811,
0.036980003118515015,
0.11569015681743622,
0.05976472049951553,
-0.07575678825378418,
-0.011500827968120575,
-0.02701030857861042,
0.03841310739517212,
-0.0749569833278656,
0.02148423343896866,
0.03664013370871544,
0.00955321453511715,
-0.04567490890622139,
0.07056021690368652,
0.02104608155786991,
-0.008831197395920753,
-0.00740701612085104,
0.0810324177145958,
0.017048809677362442,
0.022187544032931328,
-0.016933854669332504,
0.0453002005815506,
0.04186876118183136,
-0.006333751603960991,
-0.07337592542171478,
0.08497448265552521,
0.09238337725400925,
-0.05642450600862503,
0.0826663002371788,
-0.054601263254880905,
0.07261238247156143,
0.06330957263708115,
-0.007677792571485043,
0.05131659284234047,
-0.053596071898937225,
0.034938789904117584,
0.011984151788055897,
0.1162383034825325,
-0.08231103420257568,
-0.04357075318694115,
-0.0260878037661314,
0.022373808547854424,
0.025453727692365646,
-0.07181282341480255,
0.025802863761782646,
0.03336125984787941,
0.11102025955915451,
-0.11295682191848755,
0.0984482392668724,
0.04689234495162964,
0.02755662240087986,
-0.02260354720056057,
-0.07682813704013824,
0.004766699858009815,
-0.010253320448100567,
-0.03196125477552414,
0.08432275801897049,
-0.08987165242433548,
-6.03535852405912e-8,
-0.07062233984470367,
-0.13688290119171143,
0.07400811463594437,
-0.01023249700665474,
0.0480126328766346,
-0.07719879597425461,
0.005314214620739222,
-0.057248566299676895,
-0.058087557554244995,
-0.044743847101926804,
0.043533384799957275,
-0.03269435837864876,
0.02404981292784214,
-0.026209257543087006,
0.05158671364188194,
0.04567024111747742,
0.05666213482618332,
-0.015995942056179047,
-0.04485556110739708,
-0.0008762688376009464,
0.051434386521577835,
-0.04112262651324272,
0.018511168658733368,
-0.013202989473938942,
0.04876859486103058,
-0.061522528529167175,
-0.057224225252866745,
0.07194676250219345,
-0.009825228713452816,
0.1262328177690506,
0.018805596977472305,
-0.0055922698229551315,
0.01319192349910736,
0.07911267876625061,
0.03402465954422951,
-0.01589382067322731,
0.020125404000282288,
-0.08095166087150574,
-0.06535825878381729,
0.012694246135652065,
0.03219948709011078,
0.10820126533508301,
-0.06117582321166992,
0.029855916276574135,
0.03244165703654289,
-0.0051434822380542755,
-0.02221542038023472,
-0.1482132077217102,
-0.06329060345888138,
0.010449820198118687,
-0.031994327902793884,
0.02626517415046692,
-0.016120852902531624,
0.06866156309843063,
0.07654474675655365,
0.01128376368433237,
0.027492394670844078,
-0.11758129298686981,
-0.02164767123758793,
0.05571098253130913,
0.0036560245789587498,
0.05503293499350548,
-0.03272697702050209,
0.008029891178011894
] | null | null | null | null | null | null | null |
[
-0.00983289536088705,
-0.017958786338567734,
-0.012722770683467388,
0.014145119115710258,
-0.027224944904446602,
-0.07970155030488968,
0.017619101330637932,
0.051354896277189255,
-0.033771075308322906,
0.07923717796802521,
0.034053049981594086,
0.06888864189386368,
0.1273961067199707,
-0.006148240529000759,
0.04594152048230171,
0.005742066539824009,
0.09783168137073517,
0.021409999579191208,
-0.12198565900325775,
0.009011069312691689,
0.033292654901742935,
0.015570428222417831,
0.018251271918416023,
0.0323302298784256,
-0.12430782616138458,
-0.016165317967534065,
0.07048311084508896,
-0.0022876248694956303,
0.0030404687859117985,
-0.0829625278711319,
-0.031181974336504936,
-0.02293817140161991,
0.06199916452169418,
-0.07840035110712051,
-0.08252027630805969,
0.013805164955556393,
-0.07911034673452377,
0.026708068326115608,
-0.0208601001650095,
-0.0029386563692241907,
-0.07239024341106415,
-0.008688819594681263,
-0.0038004436064511538,
-0.07785869389772415,
-0.062202803790569305,
0.1100163534283638,
0.0254424586892128,
-0.09591500461101532,
0.06138678267598152,
0.020416582003235817,
-0.07351416349411011,
-0.02748287282884121,
0.003032046603038907,
-0.08078424632549286,
0.046917304396629333,
0.07266645133495331,
-0.020393524318933487,
0.03620648756623268,
0.005856568459421396,
-0.08847791701555252,
-0.03693169727921486,
-0.012186890468001366,
-0.02026471309363842,
-0.03273419290781021,
0.017329182475805283,
-0.04286273941397667,
-0.041629139333963394,
0.03929997608065605,
0.0553017221391201,
-0.007707891054451466,
0.014508556574583054,
0.08066140115261078,
0.025628186762332916,
-0.07228552550077438,
-0.031782567501068115,
-0.01391060184687376,
-0.020754655823111534,
0.05641564354300499,
0.02891555242240429,
-0.008793559856712818,
0.00022760419233236462,
-0.037105802446603775,
-0.08324069529771805,
0.01487868931144476,
0.061822328716516495,
-0.04496278241276741,
0.00986566860228777,
0.022154314443469048,
0.13700278103351593,
0.00938381440937519,
0.011089980602264404,
-0.035180531442165375,
-0.03053349070250988,
-0.018601445481181145,
-0.022717947140336037,
-0.008925623260438442,
0.010557162575423717,
0.029824726283550262,
0.04327401891350746,
0.05143870413303375,
0.01630382053554058,
-0.006595870479941368,
-0.013433188199996948,
0.041877422481775284,
0.010815243236720562,
-0.034481365233659744,
0.010782559402287006,
-0.02514977566897869,
0.07521296292543411,
-0.008429443463683128,
-0.010568706318736076,
-0.06240753084421158,
-0.02047279290854931,
-0.010917633771896362,
-0.06726416200399399,
-0.019852226600050926,
0.01955629140138626,
-0.031269218772649765,
-0.042432885617017746,
-0.0018688226118683815,
0.10983674973249435,
-0.05460123345255852,
0.11131462454795837,
0.00023992860224097967,
0.0755929946899414,
-0.0015860088169574738,
0.036122553050518036,
-1.8072711365114186e-33,
-0.05928000435233116,
-0.0732276663184166,
-0.009648947045207024,
-0.04243319854140282,
0.030195968225598335,
-0.00003388234836165793,
0.014707685448229313,
0.03635643795132637,
0.004606274422258139,
-0.0225678738206625,
-0.022984303534030914,
0.021010873839259148,
-0.07410715520381927,
0.03270160034298897,
0.08103453367948532,
0.007212982978671789,
0.08222603797912598,
0.00509722949936986,
-0.020689474418759346,
0.02100854553282261,
0.03929298743605614,
-0.015222215093672276,
-0.04466614872217178,
-0.08532719314098358,
0.04716071859002113,
-0.02681523934006691,
0.05155644938349724,
0.02418110892176628,
-0.01530487835407257,
0.01190552581101656,
-0.002096937270835042,
0.02920304797589779,
-0.019545944407582283,
0.01635572873055935,
0.013901054859161377,
-0.0032260699663311243,
-0.11993473023176193,
0.04584604501724243,
-0.04214514419436455,
-0.01985318772494793,
0.016916563734412193,
-0.03834360092878342,
-0.01864757016301155,
-0.009038771502673626,
-0.04930844530463219,
-0.03582001104950905,
0.023289496079087257,
0.005694943945854902,
-0.04813140258193016,
-0.0319947674870491,
0.03283362090587616,
0.00818043015897274,
0.023870624601840973,
-0.045088183134794235,
-0.040688883513212204,
-0.030571704730391502,
0.011685623787343502,
0.040816694498062134,
-0.058378901332616806,
0.03141404688358307,
-0.024817267432808876,
0.0019868912640959024,
0.06591948866844177,
0.1334427148103714,
0.07638179510831833,
0.014180644415318966,
0.0020070273894816637,
-0.045742880553007126,
0.06560856103897095,
0.009717357344925404,
-0.07305080443620682,
-0.04145623743534088,
-0.020189223811030388,
0.0356220044195652,
-0.07174639403820038,
-0.015024591237306595,
-0.018137654289603233,
-0.050419196486473083,
-0.02450348064303398,
-0.014627644792199135,
-0.02899472787976265,
-0.0032093962654471397,
-0.011472266167402267,
-0.01693534478545189,
-0.017819449305534363,
-0.042076852172613144,
-0.05535008758306503,
0.0054758707992732525,
0.018710335716605186,
-0.011946925893425941,
-0.022853970527648926,
-0.03256552666425705,
-0.03633825108408928,
0.12613379955291748,
0.034912560135126114,
-1.621244196376999e-33,
0.03073781169950962,
-0.02754906192421913,
0.044796962291002274,
0.05980917811393738,
0.011766740120947361,
-0.011714937165379524,
-0.03937124088406563,
-0.06656039506196976,
-0.03286579251289368,
-0.03934473916888237,
-0.13056762516498566,
-0.020634466782212257,
0.05063190311193466,
0.039593324065208435,
0.024084201082587242,
0.05975109338760376,
-0.09532073885202408,
-0.06197768449783325,
-0.020048370584845543,
0.003687914228066802,
-0.056743137538433075,
0.09358461201190948,
-0.06278649717569351,
-0.000340075435815379,
0.0017443832475692034,
0.024284658953547478,
-0.013822636567056179,
0.10242930799722672,
0.07965108007192612,
0.004599507432430983,
-0.06077117845416069,
-0.07894214987754822,
0.053367048501968384,
0.07053931057453156,
0.009663748554885387,
0.02807278372347355,
0.03579585254192352,
-0.01234324462711811,
0.036980003118515015,
0.11569015681743622,
0.05976472049951553,
-0.07575678825378418,
-0.011500827968120575,
-0.02701030857861042,
0.03841310739517212,
-0.0749569833278656,
0.02148423343896866,
0.03664013370871544,
0.00955321453511715,
-0.04567490890622139,
0.07056021690368652,
0.02104608155786991,
-0.008831197395920753,
-0.00740701612085104,
0.0810324177145958,
0.017048809677362442,
0.022187544032931328,
-0.016933854669332504,
0.0453002005815506,
0.04186876118183136,
-0.006333751603960991,
-0.07337592542171478,
0.08497448265552521,
0.09238337725400925,
-0.05642450600862503,
0.0826663002371788,
-0.054601263254880905,
0.07261238247156143,
0.06330957263708115,
-0.007677792571485043,
0.05131659284234047,
-0.053596071898937225,
0.034938789904117584,
0.011984151788055897,
0.1162383034825325,
-0.08231103420257568,
-0.04357075318694115,
-0.0260878037661314,
0.022373808547854424,
0.025453727692365646,
-0.07181282341480255,
0.025802863761782646,
0.03336125984787941,
0.11102025955915451,
-0.11295682191848755,
0.0984482392668724,
0.04689234495162964,
0.02755662240087986,
-0.02260354720056057,
-0.07682813704013824,
0.004766699858009815,
-0.010253320448100567,
-0.03196125477552414,
0.08432275801897049,
-0.08987165242433548,
-6.03535852405912e-8,
-0.07062233984470367,
-0.13688290119171143,
0.07400811463594437,
-0.01023249700665474,
0.0480126328766346,
-0.07719879597425461,
0.005314214620739222,
-0.057248566299676895,
-0.058087557554244995,
-0.044743847101926804,
0.043533384799957275,
-0.03269435837864876,
0.02404981292784214,
-0.026209257543087006,
0.05158671364188194,
0.04567024111747742,
0.05666213482618332,
-0.015995942056179047,
-0.04485556110739708,
-0.0008762688376009464,
0.051434386521577835,
-0.04112262651324272,
0.018511168658733368,
-0.013202989473938942,
0.04876859486103058,
-0.061522528529167175,
-0.057224225252866745,
0.07194676250219345,
-0.009825228713452816,
0.1262328177690506,
0.018805596977472305,
-0.0055922698229551315,
0.01319192349910736,
0.07911267876625061,
0.03402465954422951,
-0.01589382067322731,
0.020125404000282288,
-0.08095166087150574,
-0.06535825878381729,
0.012694246135652065,
0.03219948709011078,
0.10820126533508301,
-0.06117582321166992,
0.029855916276574135,
0.03244165703654289,
-0.0051434822380542755,
-0.02221542038023472,
-0.1482132077217102,
-0.06329060345888138,
0.010449820198118687,
-0.031994327902793884,
0.02626517415046692,
-0.016120852902531624,
0.06866156309843063,
0.07654474675655365,
0.01128376368433237,
0.027492394670844078,
-0.11758129298686981,
-0.02164767123758793,
0.05571098253130913,
0.0036560245789587498,
0.05503293499350548,
-0.03272697702050209,
0.008029891178011894
] |
1402.2998
|
Jingchen Feng
|
Jingchen Feng, Herbert Levine, Xiaoming Mao, and Leonard M. Sander
|
Alignment and Nonlinear Elasticity in Biopolymer Gels
|
5 pages, 4 Figures
| null |
10.1103/PhysRevE.91.042710
| null |
cond-mat.soft physics.bio-ph q-bio.QM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a Landau type theory for the non-linear elasticity of biopolymer
gels with a part of the order parameter describing induced nematic order of
fibers in the gel. We attribute the non-linear elastic behavior of these
materials to fiber alignment induced by strain. We suggest an application to
contact guidance of cell motility in tissue. We compare our theory to
simulation of a disordered lattice model for biopolymers. We treat homogeneous
deformations such as simple shear, hydrostatic expansion, and simple extension,
and obtain good agreement between theory and simulation. We also consider a
localized perturbation which is a simple model for a contracting cell in a
medium.
|
[
{
"created": "Wed, 12 Feb 2014 22:36:03 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Oct 2014 18:35:02 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Feng",
"Jingchen",
""
],
[
"Levine",
"Herbert",
""
],
[
"Mao",
"Xiaoming",
""
],
[
"Sander",
"Leonard M.",
""
]
] |
[
-0.07278795540332794,
-0.06437590718269348,
0.0702686458826065,
-0.04871039465069771,
-0.045932792127132416,
0.0008156896801665425,
0.028191357851028442,
0.048857178539037704,
0.03959532454609871,
0.028112350031733513,
-0.01432798895984888,
0.07073437422513962,
-0.04025009647011757,
0.12131667882204056,
-0.05499734729528427,
-0.07059193402528763,
-0.03959580510854721,
-0.005474471021443605,
-0.06198825314640999,
0.11027470231056213,
0.0659518912434578,
0.00775752030313015,
0.006082007195800543,
-0.049025509506464005,
0.043848857283592224,
-0.08218689262866974,
0.009846923872828484,
0.0018035542452707887,
0.012398377992212772,
-0.005670591723173857,
0.0017164467135444283,
0.010450869798660278,
-0.08063220977783203,
0.07823711633682251,
0.08373676240444183,
-0.00835841428488493,
-0.009184679016470909,
-0.06112407147884369,
-0.048779744654893875,
0.05084417015314102,
0.04885555058717728,
0.021850455552339554,
-0.02293514460325241,
0.02727842517197132,
0.08003613352775574,
-0.03278296813368797,
0.10931413620710373,
-0.033962905406951904,
-0.06616099178791046,
-0.017124684527516365,
-0.08204919099807739,
-0.05621493607759476,
0.013414856977760792,
0.021373525261878967,
-0.05165526270866394,
0.027983123436570168,
0.03361048921942711,
0.0026679516304284334,
0.03431865945458412,
-0.046764981001615524,
0.06024213135242462,
0.03285118564963341,
0.01673630066215992,
0.03773212432861328,
0.004336768761277199,
-0.007844176143407822,
0.049895718693733215,
0.08536907285451889,
-0.044083431363105774,
0.09530343115329742,
0.0047163693234324455,
0.029387155547738075,
0.048119235783815384,
0.015440374612808228,
0.037104010581970215,
-0.08070117235183716,
-0.06096137687563896,
0.0649615228176117,
-0.02430138550698757,
-0.0012280375231057405,
-0.04303651303052902,
-0.06400121003389359,
0.04223617911338806,
-0.01635929010808468,
-0.07896425575017929,
0.0025980095379054546,
0.04616129398345947,
0.01495171058923006,
0.01154309418052435,
-0.00691628735512495,
0.015415304340422153,
0.018572764471173286,
-0.08412940800189972,
0.02367132529616356,
-0.05375083163380623,
-0.046252667903900146,
-0.007846182212233543,
0.009675484150648117,
0.05960068479180336,
-0.011362784542143345,
-0.066004678606987,
0.00506759574636817,
0.0387052558362484,
0.03338376060128212,
0.08130121976137161,
-0.07322526723146439,
-0.05102970823645592,
0.007549149449914694,
0.08085326105356216,
0.14638586342334747,
0.02212042547762394,
-0.004336334764957428,
0.02805326133966446,
0.10195638984441757,
-0.03832967206835747,
-0.026720646768808365,
0.005941577255725861,
0.009921956807374954,
-0.004650284070521593,
0.0026317553129047155,
0.05053919553756714,
-0.054033633321523666,
-0.0785139799118042,
0.015992041677236557,
-0.07626676559448242,
0.0705849751830101,
-0.08825332671403885,
-1.3192630955641112e-33,
0.06917305290699005,
-0.0008992327493615448,
-0.002328178845345974,
0.01025401521474123,
-0.015071905218064785,
-0.037277668714523315,
-0.07767707854509354,
-0.06207817792892456,
-0.006338810082525015,
0.011083311401307583,
-0.026398424059152603,
0.057225681841373444,
0.011897558346390724,
0.036613449454307556,
-0.07328403741121292,
-0.015388797968626022,
-0.055841006338596344,
0.0343889482319355,
0.0542139858007431,
0.0771055594086647,
-0.025341518223285675,
0.03192845359444618,
-0.01433619949966669,
0.000008969208465714473,
-0.028897028416395187,
-0.04222653806209564,
-0.10277459770441055,
-0.05531655624508858,
0.058120597153902054,
-0.02326158992946148,
0.012339512817561626,
-0.04247768223285675,
-0.01962062157690525,
0.06240719184279442,
0.03956577181816101,
0.08069271594285965,
-0.023378247395157814,
-0.034687742590904236,
-0.007952236570417881,
-0.006327897310256958,
0.04925652965903282,
-0.022800438106060028,
0.12431830912828445,
-0.04274624213576317,
0.0710689052939415,
0.025758199393749237,
0.06745069473981857,
0.08392717689275742,
-0.02508457377552986,
-0.09634073078632355,
0.021516313776373863,
0.026527926325798035,
0.03490329161286354,
-0.021504223346710205,
0.016064560040831566,
-0.01833181455731392,
-0.04948984831571579,
-0.023926038295030594,
-0.03899161517620087,
-0.004027558956295252,
-0.004206578712910414,
-0.09054969251155853,
0.05846541374921799,
-0.040788281708955765,
0.059199631214141846,
-0.04335784912109375,
-0.08779631555080414,
0.01751643233001232,
0.028555667027831078,
0.010459449142217636,
-0.008607419207692146,
0.023366035893559456,
-0.025409771129488945,
0.0433630496263504,
-0.015892334282398224,
0.07143530249595642,
-0.018542882055044174,
-0.07017961144447327,
-0.08376330882310867,
-0.0387546680867672,
-0.057211630046367645,
0.000008327664545504376,
-0.04132755845785141,
-0.012734489515423775,
-0.07370728254318237,
0.01075851172208786,
0.0640091821551323,
0.06505806744098663,
0.0029534888453781605,
0.006399441510438919,
-0.02021731249988079,
-0.07623255997896194,
-0.00621300283819437,
0.01109833549708128,
0.04046322777867317,
-3.7079274931784945e-34,
0.007058767136186361,
-0.045315925031900406,
0.026062767952680588,
0.06894031912088394,
0.07774381339550018,
-0.03142356127500534,
0.014732557348906994,
0.1161719262599945,
0.01827726513147354,
-0.049678899347782135,
0.08013095706701279,
-0.022148873656988144,
-0.027156637981534004,
0.016704775393009186,
0.005002056248486042,
0.026219680905342102,
-0.09389558434486389,
-0.08071886748075485,
0.026054812595248222,
-0.015344501473009586,
-0.0937032699584961,
0.012501511722803116,
-0.008971300907433033,
0.05353881046175957,
-0.033111572265625,
0.05355089157819748,
-0.09472456574440002,
0.034066811203956604,
-0.07990798354148865,
0.04373008757829666,
0.027080824598670006,
-0.061064232140779495,
-0.05746597796678543,
0.013286735862493515,
0.0015825586160644889,
0.11876215785741806,
-0.049810685217380524,
0.06460721045732498,
0.1525781899690628,
-0.09126748144626617,
-0.0034871953539550304,
-0.006280995439738035,
0.023396871984004974,
0.03482776880264282,
0.06537819653749466,
-0.003643533680588007,
0.010961434803903103,
-0.049472153186798096,
-0.035537414252758026,
0.05113959312438965,
-0.08232537657022476,
0.04990040510892868,
0.03108912892639637,
-0.05213911458849907,
-0.02293582819402218,
0.0944303348660469,
-0.1107318177819252,
-0.020011024549603462,
-0.03182937204837799,
-0.016164811328053474,
-0.03969402238726616,
0.015883255749940872,
0.07353392988443375,
-0.026299694553017616,
-0.059369686990976334,
-0.005608977284282446,
-0.015292344614863396,
-0.05366837605834007,
-0.0164780430495739,
0.0205595213919878,
0.021547894924879074,
0.07428106665611267,
0.002777963411062956,
0.07965143024921417,
0.07676245272159576,
-0.08783271908760071,
-0.007766340393573046,
-0.035532623529434204,
-0.07470569014549255,
-0.031851522624492645,
0.016415435820817947,
0.13814374804496765,
-0.03737960755825043,
-0.025676798075437546,
-0.02234070561826229,
0.012124577537178993,
0.06223497912287712,
0.07368269562721252,
0.005050517152994871,
-0.013726860284805298,
0.0766715258359909,
-0.061812132596969604,
0.061782583594322205,
-0.031320177018642426,
0.0282491073012352,
-3.717415708592853e-8,
0.03370165452361107,
-0.0006823686417192221,
0.07613416016101837,
-0.07507292926311493,
0.0012952190591022372,
0.0046900538727641106,
0.03760690614581108,
-0.017019961029291153,
-0.02032230980694294,
0.02174750715494156,
-0.0239198449999094,
0.05216287076473236,
-0.018909813836216927,
0.02048547938466072,
-0.03030226193368435,
0.06499406695365906,
-0.015600829385221004,
0.012155133299529552,
-0.06480180472135544,
-0.06600677967071533,
-0.041581615805625916,
-0.020408375188708305,
-0.02456585317850113,
0.09412623196840286,
-0.013691851869225502,
-0.0030875697266310453,
-0.09662668406963348,
-0.08027246594429016,
-0.026433315128087997,
0.0567416176199913,
0.043113384395837784,
0.03301592171192169,
0.05609820410609245,
0.06137450411915779,
-0.07917777448892593,
0.026044901460409164,
-0.00226119183935225,
-0.04199979081749916,
-0.038235921412706375,
-0.030009731650352478,
0.05801595374941826,
-0.03692222386598587,
0.06528489291667938,
-0.0507010780274868,
0.0685996487736702,
-0.03887888416647911,
0.0008967931498773396,
-0.026073072105646133,
0.0009627194376662374,
0.0942799523472786,
0.008771365508437157,
0.010853334330022335,
-0.047537799924612045,
0.004803121089935303,
-0.03945586457848549,
-0.03968799114227295,
-0.10880685597658157,
0.08640909940004349,
0.056027501821517944,
0.0031136819161474705,
-0.08497781306505203,
-0.0020236163400113583,
0.045390427112579346,
-0.060274943709373474
] | null | null | null | null | null | null | null |
[
-0.07278795540332794,
-0.06437590718269348,
0.0702686458826065,
-0.04871039465069771,
-0.045932792127132416,
0.0008156896801665425,
0.028191357851028442,
0.048857178539037704,
0.03959532454609871,
0.028112350031733513,
-0.01432798895984888,
0.07073437422513962,
-0.04025009647011757,
0.12131667882204056,
-0.05499734729528427,
-0.07059193402528763,
-0.03959580510854721,
-0.005474471021443605,
-0.06198825314640999,
0.11027470231056213,
0.0659518912434578,
0.00775752030313015,
0.006082007195800543,
-0.049025509506464005,
0.043848857283592224,
-0.08218689262866974,
0.009846923872828484,
0.0018035542452707887,
0.012398377992212772,
-0.005670591723173857,
0.0017164467135444283,
0.010450869798660278,
-0.08063220977783203,
0.07823711633682251,
0.08373676240444183,
-0.00835841428488493,
-0.009184679016470909,
-0.06112407147884369,
-0.048779744654893875,
0.05084417015314102,
0.04885555058717728,
0.021850455552339554,
-0.02293514460325241,
0.02727842517197132,
0.08003613352775574,
-0.03278296813368797,
0.10931413620710373,
-0.033962905406951904,
-0.06616099178791046,
-0.017124684527516365,
-0.08204919099807739,
-0.05621493607759476,
0.013414856977760792,
0.021373525261878967,
-0.05165526270866394,
0.027983123436570168,
0.03361048921942711,
0.0026679516304284334,
0.03431865945458412,
-0.046764981001615524,
0.06024213135242462,
0.03285118564963341,
0.01673630066215992,
0.03773212432861328,
0.004336768761277199,
-0.007844176143407822,
0.049895718693733215,
0.08536907285451889,
-0.044083431363105774,
0.09530343115329742,
0.0047163693234324455,
0.029387155547738075,
0.048119235783815384,
0.015440374612808228,
0.037104010581970215,
-0.08070117235183716,
-0.06096137687563896,
0.0649615228176117,
-0.02430138550698757,
-0.0012280375231057405,
-0.04303651303052902,
-0.06400121003389359,
0.04223617911338806,
-0.01635929010808468,
-0.07896425575017929,
0.0025980095379054546,
0.04616129398345947,
0.01495171058923006,
0.01154309418052435,
-0.00691628735512495,
0.015415304340422153,
0.018572764471173286,
-0.08412940800189972,
0.02367132529616356,
-0.05375083163380623,
-0.046252667903900146,
-0.007846182212233543,
0.009675484150648117,
0.05960068479180336,
-0.011362784542143345,
-0.066004678606987,
0.00506759574636817,
0.0387052558362484,
0.03338376060128212,
0.08130121976137161,
-0.07322526723146439,
-0.05102970823645592,
0.007549149449914694,
0.08085326105356216,
0.14638586342334747,
0.02212042547762394,
-0.004336334764957428,
0.02805326133966446,
0.10195638984441757,
-0.03832967206835747,
-0.026720646768808365,
0.005941577255725861,
0.009921956807374954,
-0.004650284070521593,
0.0026317553129047155,
0.05053919553756714,
-0.054033633321523666,
-0.0785139799118042,
0.015992041677236557,
-0.07626676559448242,
0.0705849751830101,
-0.08825332671403885,
-1.3192630955641112e-33,
0.06917305290699005,
-0.0008992327493615448,
-0.002328178845345974,
0.01025401521474123,
-0.015071905218064785,
-0.037277668714523315,
-0.07767707854509354,
-0.06207817792892456,
-0.006338810082525015,
0.011083311401307583,
-0.026398424059152603,
0.057225681841373444,
0.011897558346390724,
0.036613449454307556,
-0.07328403741121292,
-0.015388797968626022,
-0.055841006338596344,
0.0343889482319355,
0.0542139858007431,
0.0771055594086647,
-0.025341518223285675,
0.03192845359444618,
-0.01433619949966669,
0.000008969208465714473,
-0.028897028416395187,
-0.04222653806209564,
-0.10277459770441055,
-0.05531655624508858,
0.058120597153902054,
-0.02326158992946148,
0.012339512817561626,
-0.04247768223285675,
-0.01962062157690525,
0.06240719184279442,
0.03956577181816101,
0.08069271594285965,
-0.023378247395157814,
-0.034687742590904236,
-0.007952236570417881,
-0.006327897310256958,
0.04925652965903282,
-0.022800438106060028,
0.12431830912828445,
-0.04274624213576317,
0.0710689052939415,
0.025758199393749237,
0.06745069473981857,
0.08392717689275742,
-0.02508457377552986,
-0.09634073078632355,
0.021516313776373863,
0.026527926325798035,
0.03490329161286354,
-0.021504223346710205,
0.016064560040831566,
-0.01833181455731392,
-0.04948984831571579,
-0.023926038295030594,
-0.03899161517620087,
-0.004027558956295252,
-0.004206578712910414,
-0.09054969251155853,
0.05846541374921799,
-0.040788281708955765,
0.059199631214141846,
-0.04335784912109375,
-0.08779631555080414,
0.01751643233001232,
0.028555667027831078,
0.010459449142217636,
-0.008607419207692146,
0.023366035893559456,
-0.025409771129488945,
0.0433630496263504,
-0.015892334282398224,
0.07143530249595642,
-0.018542882055044174,
-0.07017961144447327,
-0.08376330882310867,
-0.0387546680867672,
-0.057211630046367645,
0.000008327664545504376,
-0.04132755845785141,
-0.012734489515423775,
-0.07370728254318237,
0.01075851172208786,
0.0640091821551323,
0.06505806744098663,
0.0029534888453781605,
0.006399441510438919,
-0.02021731249988079,
-0.07623255997896194,
-0.00621300283819437,
0.01109833549708128,
0.04046322777867317,
-3.7079274931784945e-34,
0.007058767136186361,
-0.045315925031900406,
0.026062767952680588,
0.06894031912088394,
0.07774381339550018,
-0.03142356127500534,
0.014732557348906994,
0.1161719262599945,
0.01827726513147354,
-0.049678899347782135,
0.08013095706701279,
-0.022148873656988144,
-0.027156637981534004,
0.016704775393009186,
0.005002056248486042,
0.026219680905342102,
-0.09389558434486389,
-0.08071886748075485,
0.026054812595248222,
-0.015344501473009586,
-0.0937032699584961,
0.012501511722803116,
-0.008971300907433033,
0.05353881046175957,
-0.033111572265625,
0.05355089157819748,
-0.09472456574440002,
0.034066811203956604,
-0.07990798354148865,
0.04373008757829666,
0.027080824598670006,
-0.061064232140779495,
-0.05746597796678543,
0.013286735862493515,
0.0015825586160644889,
0.11876215785741806,
-0.049810685217380524,
0.06460721045732498,
0.1525781899690628,
-0.09126748144626617,
-0.0034871953539550304,
-0.006280995439738035,
0.023396871984004974,
0.03482776880264282,
0.06537819653749466,
-0.003643533680588007,
0.010961434803903103,
-0.049472153186798096,
-0.035537414252758026,
0.05113959312438965,
-0.08232537657022476,
0.04990040510892868,
0.03108912892639637,
-0.05213911458849907,
-0.02293582819402218,
0.0944303348660469,
-0.1107318177819252,
-0.020011024549603462,
-0.03182937204837799,
-0.016164811328053474,
-0.03969402238726616,
0.015883255749940872,
0.07353392988443375,
-0.026299694553017616,
-0.059369686990976334,
-0.005608977284282446,
-0.015292344614863396,
-0.05366837605834007,
-0.0164780430495739,
0.0205595213919878,
0.021547894924879074,
0.07428106665611267,
0.002777963411062956,
0.07965143024921417,
0.07676245272159576,
-0.08783271908760071,
-0.007766340393573046,
-0.035532623529434204,
-0.07470569014549255,
-0.031851522624492645,
0.016415435820817947,
0.13814374804496765,
-0.03737960755825043,
-0.025676798075437546,
-0.02234070561826229,
0.012124577537178993,
0.06223497912287712,
0.07368269562721252,
0.005050517152994871,
-0.013726860284805298,
0.0766715258359909,
-0.061812132596969604,
0.061782583594322205,
-0.031320177018642426,
0.0282491073012352,
-3.717415708592853e-8,
0.03370165452361107,
-0.0006823686417192221,
0.07613416016101837,
-0.07507292926311493,
0.0012952190591022372,
0.0046900538727641106,
0.03760690614581108,
-0.017019961029291153,
-0.02032230980694294,
0.02174750715494156,
-0.0239198449999094,
0.05216287076473236,
-0.018909813836216927,
0.02048547938466072,
-0.03030226193368435,
0.06499406695365906,
-0.015600829385221004,
0.012155133299529552,
-0.06480180472135544,
-0.06600677967071533,
-0.041581615805625916,
-0.020408375188708305,
-0.02456585317850113,
0.09412623196840286,
-0.013691851869225502,
-0.0030875697266310453,
-0.09662668406963348,
-0.08027246594429016,
-0.026433315128087997,
0.0567416176199913,
0.043113384395837784,
0.03301592171192169,
0.05609820410609245,
0.06137450411915779,
-0.07917777448892593,
0.026044901460409164,
-0.00226119183935225,
-0.04199979081749916,
-0.038235921412706375,
-0.030009731650352478,
0.05801595374941826,
-0.03692222386598587,
0.06528489291667938,
-0.0507010780274868,
0.0685996487736702,
-0.03887888416647911,
0.0008967931498773396,
-0.026073072105646133,
0.0009627194376662374,
0.0942799523472786,
0.008771365508437157,
0.010853334330022335,
-0.047537799924612045,
0.004803121089935303,
-0.03945586457848549,
-0.03968799114227295,
-0.10880685597658157,
0.08640909940004349,
0.056027501821517944,
0.0031136819161474705,
-0.08497781306505203,
-0.0020236163400113583,
0.045390427112579346,
-0.060274943709373474
] |
1402.3005
|
Ramy Mawad
|
Ramy Mawad
|
Earth\'s Mass Variability
|
35 pages, 11 figures
| null | null | null |
physics.gen-ph astro-ph.EP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The perturbation of the Earth caused by variability of mass of Earth as
additional reason with gravity of celestial bodies and shape of the Earth. The
Earth eating and collecting matters from space and loss or eject matters to
space through its flying in the space around the Sun. The source of the rising
in the global sea level is not closed in global warming and icebergs, but the
outer space is the additional important source for this rising. The Earth eats
waters from space in unknown mechanism. The mass of the Earth become greater in
November i.e. before transit apoapsis two months, and become latter in February
i.e. after transit apoapsis to two months.
|
[
{
"created": "Wed, 12 Feb 2014 23:31:10 GMT",
"version": "v1"
}
] |
2022-03-29
|
[
[
"Mawad",
"Ramy",
""
]
] |
[
-0.012356963008642197,
-0.022754717618227005,
0.14827443659305573,
0.05253883823752403,
0.0008423798135481775,
-0.027555281296372414,
0.01006418839097023,
0.017477985471487045,
0.04850976914167404,
0.03565366938710213,
0.027879593893885612,
-0.04405253753066063,
-0.011372102424502373,
-0.024634312838315964,
-0.021760618314146996,
0.0029227312188595533,
-0.019360680133104324,
0.012756855227053165,
-0.03981759026646614,
-0.01995505765080452,
0.028522411361336708,
0.028996609151363373,
-0.08670315146446228,
0.04938998073339462,
-0.05182243883609772,
-0.05450444668531418,
-0.04299979656934738,
0.029991185292601585,
0.0067779491655528545,
0.013484117574989796,
-0.01373671367764473,
0.01641593687236309,
0.051770180463790894,
-0.038538381457328796,
-0.025666041299700737,
0.051827725023031235,
-0.01182687096297741,
-0.040926575660705566,
0.011119781993329525,
-0.027242254465818405,
0.010367734357714653,
-0.07108168303966522,
0.041090864688158035,
0.09152231365442276,
-0.030870813876390457,
-0.007917989045381546,
-0.03641553968191147,
0.01767115294933319,
-0.08816215395927429,
0.0211053267121315,
-0.0001462998625356704,
-0.04455386474728584,
-0.14073552191257477,
0.008250679820775986,
-0.024195527657866478,
-0.04745614528656006,
0.045882415026426315,
0.0006271630409173667,
-0.0012318339431658387,
-0.07320284843444824,
0.015211164020001888,
-0.04323672875761986,
-0.07185307145118713,
-0.003594718175008893,
0.0839945524930954,
-0.02281668595969677,
0.0339941531419754,
-0.018497435376048088,
-0.03202807903289795,
0.05822574347257614,
0.02199734002351761,
0.055483780801296234,
-0.00035277759889140725,
-0.04882713407278061,
0.029731785878539085,
-0.06364920735359192,
-0.0797751173377037,
0.012323462404310703,
0.11261794716119766,
0.043861500918865204,
0.05482237786054611,
0.10180000960826874,
-0.03892704099416733,
-0.009442552924156189,
-0.06280454993247986,
-0.037365883588790894,
0.0651145651936531,
-0.017975324764847755,
-0.04415157064795494,
-0.004140540026128292,
0.006230704952031374,
-0.05786260962486267,
-0.018483972176909447,
0.08817277103662491,
-0.06978896260261536,
0.07395067065954208,
-0.030437251552939415,
-0.07479698956012726,
0.07840550690889359,
-0.009542767889797688,
-0.04421143978834152,
0.10487603396177292,
-0.07098600268363953,
0.0763591080904007,
0.03893347457051277,
0.029074469581246376,
-0.06310847401618958,
-0.027984552085399628,
-0.021243108436465263,
0.02047124132514,
-0.062155310064554214,
0.014448823407292366,
-0.02238812856376171,
0.007773825898766518,
-0.01446348987519741,
0.0619225800037384,
0.060776010155677795,
0.020229749381542206,
-0.07501605153083801,
-0.06397808343172073,
-0.04105500504374504,
0.024520769715309143,
-0.04344271123409271,
0.07020523399114609,
-0.027180111035704613,
0.00325541733764112,
0.025562915951013565,
1.4812508088822303e-33,
0.05149791017174721,
-0.13956958055496216,
0.06120998412370682,
-0.01888888329267502,
-0.010199652053415775,
-0.023429160937666893,
-0.11872406303882599,
0.01365763321518898,
0.010778246447443962,
-0.060681283473968506,
-0.09248878061771393,
-0.039623841643333435,
-0.016940250992774963,
0.013183916918933392,
-0.03473902493715286,
-0.05694664642214775,
0.031275514513254166,
0.04909690096974373,
0.06661403179168701,
0.006648153532296419,
-0.05733310803771019,
-0.12936922907829285,
-0.0014492097543552518,
-0.051036637276411057,
0.00462457537651062,
0.006732444278895855,
0.04737692326307297,
-0.02037930302321911,
-0.07994239032268524,
-0.0030553454998880625,
0.03567954897880554,
-0.0748818963766098,
-0.010772068053483963,
0.047993648797273636,
0.016328001394867897,
-0.023922864347696304,
0.01188892126083374,
0.04026814177632332,
-0.008432031609117985,
-0.028594329953193665,
0.002956296782940626,
0.0025666537694633007,
0.008130397647619247,
-0.02284746803343296,
0.09908898919820786,
-0.02065323106944561,
0.08700563758611679,
-0.06688736379146576,
0.019662581384181976,
0.09128916263580322,
0.034242868423461914,
-0.009456846863031387,
-0.013386722654104233,
-0.006993040442466736,
-0.0034350405912846327,
-0.0014800431672483683,
0.0194107498973608,
-0.020612789317965508,
-0.09766331315040588,
-0.007180543150752783,
0.029703088104724884,
-0.016740093007683754,
0.09077118337154388,
0.062157101929187775,
0.0891457051038742,
0.08221279829740524,
0.07860831171274185,
-0.046525418758392334,
-0.08216634392738342,
0.050856027752161026,
-0.03132091835141182,
-0.06555870920419693,
0.039274923503398895,
0.03202805668115616,
-0.031254082918167114,
-0.027843087911605835,
0.027272693812847137,
-0.03925255686044693,
0.005449063144624233,
0.08689533174037933,
0.00585270207375288,
0.02322571910917759,
0.09040772914886475,
-0.04062129929661751,
-0.11065445095300674,
-0.05238507315516472,
0.024488186463713646,
0.055383823812007904,
0.14186884462833405,
0.026136521250009537,
0.004608716815710068,
-0.06144915893673897,
0.07539524137973785,
0.03169534355401993,
-0.01516774483025074,
-2.8164413018870066e-33,
-0.00794169120490551,
0.01738344132900238,
-0.06558122485876083,
-0.0031663139816373587,
0.0035459145437926054,
-0.061259180307388306,
-0.012716916389763355,
0.07661791890859604,
-0.03231441602110863,
0.0541384294629097,
-0.07266367226839066,
0.08522699773311615,
0.04286966472864151,
-0.055303905159235,
0.057742539793252945,
0.004867920186370611,
0.043174613267183304,
0.04694058373570442,
-0.06220324710011482,
-0.006661472842097282,
0.01604609750211239,
-0.03415153920650482,
0.03874676674604416,
-0.05501997098326683,
0.005172677803784609,
-0.02024218626320362,
0.03166235238313675,
0.06801497936248779,
-0.06782756000757217,
0.010032367892563343,
-0.05648445710539818,
0.05905864015221596,
0.04738530144095421,
-0.054432231932878494,
-0.06502114236354828,
0.06960221379995346,
-0.008348535746335983,
0.019655102863907814,
-0.05603446066379547,
0.02592616155743599,
-0.0083968760445714,
0.05737316980957985,
0.11602102220058441,
-0.09644678235054016,
0.046530596911907196,
-0.05973540246486664,
0.02665826305747032,
0.18337324261665344,
0.04309098795056343,
0.020406942814588547,
-0.012757533229887486,
-0.022321373224258423,
-0.021855993196368217,
0.021242128685116768,
0.03039010986685753,
0.104823999106884,
0.03775833547115326,
0.012679154984652996,
-0.023503150790929794,
-0.012434321455657482,
-0.0031338369008153677,
-0.057001255452632904,
0.01839141920208931,
-0.0360235832631588,
0.005995654966682196,
-0.025996822863817215,
-0.012067724019289017,
-0.01678037829697132,
-0.03492218255996704,
0.06224466487765312,
0.03748112544417381,
-0.04892849922180176,
-0.058792199939489365,
-0.03588752821087837,
-0.035603299736976624,
-0.05418526381254196,
-0.0013442998751997948,
0.0011409359285607934,
-0.0363321527838707,
0.026980318129062653,
-0.041372328996658325,
0.04322457313537598,
0.08340776711702347,
0.054003532975912094,
-0.05686773732304573,
-0.030082929879426956,
-0.06952601671218872,
-0.06436873972415924,
-0.02973019890487194,
0.032874945551157,
-0.11331567168235779,
0.005359536036849022,
-0.10020312666893005,
-0.012056007981300354,
-0.01801917888224125,
-4.76721595532581e-8,
0.03677092120051384,
0.015023200772702694,
0.03746624290943146,
0.09794068336486816,
0.07395647466182709,
-0.014176923781633377,
0.05096468701958656,
0.07486832141876221,
0.02012898400425911,
0.012607792392373085,
0.04617986083030701,
0.023978887125849724,
0.10814724862575531,
-0.024150019511580467,
0.007513080257922411,
-0.02650941163301468,
0.04859067499637604,
-0.04780679568648338,
-0.050993092358112335,
-0.05401678383350372,
-0.00880337506532669,
0.006144375540316105,
0.021262653172016144,
-0.016433076933026314,
0.06477265805006027,
-0.016876569017767906,
0.04751323536038399,
0.1490725427865982,
-0.010846388526260853,
-0.058301497250795364,
0.07735949754714966,
-0.024850767105817795,
0.03946739435195923,
-0.07339899986982346,
-0.0585644356906414,
0.07233931124210358,
-0.04653884470462799,
0.061141617596149445,
-0.034103743731975555,
-0.07394974678754807,
0.02350480668246746,
0.06503807008266449,
0.06628887355327606,
0.024920931085944176,
-0.000642454600892961,
0.04531922563910484,
-0.028562618419528008,
-0.012555429711937904,
0.044010408222675323,
0.026457633823156357,
-0.020703518763184547,
-0.011819526553153992,
-0.00004227119643473998,
-0.05933874472975731,
0.011629674583673477,
0.016893619671463966,
-0.09093416482210159,
0.008167142048478127,
-0.014997773803770542,
0.07314553111791611,
-0.016912585124373436,
-0.05138333886861801,
-0.06498552858829498,
-0.014965924434363842
] | null | null | null | null | null | null | null |
[
-0.012356963008642197,
-0.022754717618227005,
0.14827443659305573,
0.05253883823752403,
0.0008423798135481775,
-0.027555281296372414,
0.01006418839097023,
0.017477985471487045,
0.04850976914167404,
0.03565366938710213,
0.027879593893885612,
-0.04405253753066063,
-0.011372102424502373,
-0.024634312838315964,
-0.021760618314146996,
0.0029227312188595533,
-0.019360680133104324,
0.012756855227053165,
-0.03981759026646614,
-0.01995505765080452,
0.028522411361336708,
0.028996609151363373,
-0.08670315146446228,
0.04938998073339462,
-0.05182243883609772,
-0.05450444668531418,
-0.04299979656934738,
0.029991185292601585,
0.0067779491655528545,
0.013484117574989796,
-0.01373671367764473,
0.01641593687236309,
0.051770180463790894,
-0.038538381457328796,
-0.025666041299700737,
0.051827725023031235,
-0.01182687096297741,
-0.040926575660705566,
0.011119781993329525,
-0.027242254465818405,
0.010367734357714653,
-0.07108168303966522,
0.041090864688158035,
0.09152231365442276,
-0.030870813876390457,
-0.007917989045381546,
-0.03641553968191147,
0.01767115294933319,
-0.08816215395927429,
0.0211053267121315,
-0.0001462998625356704,
-0.04455386474728584,
-0.14073552191257477,
0.008250679820775986,
-0.024195527657866478,
-0.04745614528656006,
0.045882415026426315,
0.0006271630409173667,
-0.0012318339431658387,
-0.07320284843444824,
0.015211164020001888,
-0.04323672875761986,
-0.07185307145118713,
-0.003594718175008893,
0.0839945524930954,
-0.02281668595969677,
0.0339941531419754,
-0.018497435376048088,
-0.03202807903289795,
0.05822574347257614,
0.02199734002351761,
0.055483780801296234,
-0.00035277759889140725,
-0.04882713407278061,
0.029731785878539085,
-0.06364920735359192,
-0.0797751173377037,
0.012323462404310703,
0.11261794716119766,
0.043861500918865204,
0.05482237786054611,
0.10180000960826874,
-0.03892704099416733,
-0.009442552924156189,
-0.06280454993247986,
-0.037365883588790894,
0.0651145651936531,
-0.017975324764847755,
-0.04415157064795494,
-0.004140540026128292,
0.006230704952031374,
-0.05786260962486267,
-0.018483972176909447,
0.08817277103662491,
-0.06978896260261536,
0.07395067065954208,
-0.030437251552939415,
-0.07479698956012726,
0.07840550690889359,
-0.009542767889797688,
-0.04421143978834152,
0.10487603396177292,
-0.07098600268363953,
0.0763591080904007,
0.03893347457051277,
0.029074469581246376,
-0.06310847401618958,
-0.027984552085399628,
-0.021243108436465263,
0.02047124132514,
-0.062155310064554214,
0.014448823407292366,
-0.02238812856376171,
0.007773825898766518,
-0.01446348987519741,
0.0619225800037384,
0.060776010155677795,
0.020229749381542206,
-0.07501605153083801,
-0.06397808343172073,
-0.04105500504374504,
0.024520769715309143,
-0.04344271123409271,
0.07020523399114609,
-0.027180111035704613,
0.00325541733764112,
0.025562915951013565,
1.4812508088822303e-33,
0.05149791017174721,
-0.13956958055496216,
0.06120998412370682,
-0.01888888329267502,
-0.010199652053415775,
-0.023429160937666893,
-0.11872406303882599,
0.01365763321518898,
0.010778246447443962,
-0.060681283473968506,
-0.09248878061771393,
-0.039623841643333435,
-0.016940250992774963,
0.013183916918933392,
-0.03473902493715286,
-0.05694664642214775,
0.031275514513254166,
0.04909690096974373,
0.06661403179168701,
0.006648153532296419,
-0.05733310803771019,
-0.12936922907829285,
-0.0014492097543552518,
-0.051036637276411057,
0.00462457537651062,
0.006732444278895855,
0.04737692326307297,
-0.02037930302321911,
-0.07994239032268524,
-0.0030553454998880625,
0.03567954897880554,
-0.0748818963766098,
-0.010772068053483963,
0.047993648797273636,
0.016328001394867897,
-0.023922864347696304,
0.01188892126083374,
0.04026814177632332,
-0.008432031609117985,
-0.028594329953193665,
0.002956296782940626,
0.0025666537694633007,
0.008130397647619247,
-0.02284746803343296,
0.09908898919820786,
-0.02065323106944561,
0.08700563758611679,
-0.06688736379146576,
0.019662581384181976,
0.09128916263580322,
0.034242868423461914,
-0.009456846863031387,
-0.013386722654104233,
-0.006993040442466736,
-0.0034350405912846327,
-0.0014800431672483683,
0.0194107498973608,
-0.020612789317965508,
-0.09766331315040588,
-0.007180543150752783,
0.029703088104724884,
-0.016740093007683754,
0.09077118337154388,
0.062157101929187775,
0.0891457051038742,
0.08221279829740524,
0.07860831171274185,
-0.046525418758392334,
-0.08216634392738342,
0.050856027752161026,
-0.03132091835141182,
-0.06555870920419693,
0.039274923503398895,
0.03202805668115616,
-0.031254082918167114,
-0.027843087911605835,
0.027272693812847137,
-0.03925255686044693,
0.005449063144624233,
0.08689533174037933,
0.00585270207375288,
0.02322571910917759,
0.09040772914886475,
-0.04062129929661751,
-0.11065445095300674,
-0.05238507315516472,
0.024488186463713646,
0.055383823812007904,
0.14186884462833405,
0.026136521250009537,
0.004608716815710068,
-0.06144915893673897,
0.07539524137973785,
0.03169534355401993,
-0.01516774483025074,
-2.8164413018870066e-33,
-0.00794169120490551,
0.01738344132900238,
-0.06558122485876083,
-0.0031663139816373587,
0.0035459145437926054,
-0.061259180307388306,
-0.012716916389763355,
0.07661791890859604,
-0.03231441602110863,
0.0541384294629097,
-0.07266367226839066,
0.08522699773311615,
0.04286966472864151,
-0.055303905159235,
0.057742539793252945,
0.004867920186370611,
0.043174613267183304,
0.04694058373570442,
-0.06220324710011482,
-0.006661472842097282,
0.01604609750211239,
-0.03415153920650482,
0.03874676674604416,
-0.05501997098326683,
0.005172677803784609,
-0.02024218626320362,
0.03166235238313675,
0.06801497936248779,
-0.06782756000757217,
0.010032367892563343,
-0.05648445710539818,
0.05905864015221596,
0.04738530144095421,
-0.054432231932878494,
-0.06502114236354828,
0.06960221379995346,
-0.008348535746335983,
0.019655102863907814,
-0.05603446066379547,
0.02592616155743599,
-0.0083968760445714,
0.05737316980957985,
0.11602102220058441,
-0.09644678235054016,
0.046530596911907196,
-0.05973540246486664,
0.02665826305747032,
0.18337324261665344,
0.04309098795056343,
0.020406942814588547,
-0.012757533229887486,
-0.022321373224258423,
-0.021855993196368217,
0.021242128685116768,
0.03039010986685753,
0.104823999106884,
0.03775833547115326,
0.012679154984652996,
-0.023503150790929794,
-0.012434321455657482,
-0.0031338369008153677,
-0.057001255452632904,
0.01839141920208931,
-0.0360235832631588,
0.005995654966682196,
-0.025996822863817215,
-0.012067724019289017,
-0.01678037829697132,
-0.03492218255996704,
0.06224466487765312,
0.03748112544417381,
-0.04892849922180176,
-0.058792199939489365,
-0.03588752821087837,
-0.035603299736976624,
-0.05418526381254196,
-0.0013442998751997948,
0.0011409359285607934,
-0.0363321527838707,
0.026980318129062653,
-0.041372328996658325,
0.04322457313537598,
0.08340776711702347,
0.054003532975912094,
-0.05686773732304573,
-0.030082929879426956,
-0.06952601671218872,
-0.06436873972415924,
-0.02973019890487194,
0.032874945551157,
-0.11331567168235779,
0.005359536036849022,
-0.10020312666893005,
-0.012056007981300354,
-0.01801917888224125,
-4.76721595532581e-8,
0.03677092120051384,
0.015023200772702694,
0.03746624290943146,
0.09794068336486816,
0.07395647466182709,
-0.014176923781633377,
0.05096468701958656,
0.07486832141876221,
0.02012898400425911,
0.012607792392373085,
0.04617986083030701,
0.023978887125849724,
0.10814724862575531,
-0.024150019511580467,
0.007513080257922411,
-0.02650941163301468,
0.04859067499637604,
-0.04780679568648338,
-0.050993092358112335,
-0.05401678383350372,
-0.00880337506532669,
0.006144375540316105,
0.021262653172016144,
-0.016433076933026314,
0.06477265805006027,
-0.016876569017767906,
0.04751323536038399,
0.1490725427865982,
-0.010846388526260853,
-0.058301497250795364,
0.07735949754714966,
-0.024850767105817795,
0.03946739435195923,
-0.07339899986982346,
-0.0585644356906414,
0.07233931124210358,
-0.04653884470462799,
0.061141617596149445,
-0.034103743731975555,
-0.07394974678754807,
0.02350480668246746,
0.06503807008266449,
0.06628887355327606,
0.024920931085944176,
-0.000642454600892961,
0.04531922563910484,
-0.028562618419528008,
-0.012555429711937904,
0.044010408222675323,
0.026457633823156357,
-0.020703518763184547,
-0.011819526553153992,
-0.00004227119643473998,
-0.05933874472975731,
0.011629674583673477,
0.016893619671463966,
-0.09093416482210159,
0.008167142048478127,
-0.014997773803770542,
0.07314553111791611,
-0.016912585124373436,
-0.05138333886861801,
-0.06498552858829498,
-0.014965924434363842
] |
1402.3008
|
John Sous
|
J. Sous, P. Goel and M. Nooijen
|
Similarity transformed equation of motion coupled cluster theory
revisited: a benchmark study of valence excited states
|
Invited article to the Special Issue of Molecular Physics
"proceedings of Molecular Quantum Mechanics 2013: electron correlation: the
many-body problem at the heart of chemistry" dedicated as a Festschrift for
Professor Rodney Bartlett; 49 pages, 10 figures, 11 tables
|
Mol. Phys. 112, 616 (2014)
|
10.1080/00268976.2013.847216
| null |
physics.chem-ph physics.atom-ph physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The similarity transformed equation of motion coupled cluster (STEOM-CC)
method is benchmarked against CC3 and EOM-CCSDT-3 for a large test set of
valence excited states of organic molecules studied by Schreiber et al. [M.
Schreiber, M.R. Silva-Junior, S.P. Sauer, and W. Thiel, J. Chem. Phys.
$\textbf{128}$, 134110 (2008)]. STEOM-CC is found to behave quite
satisfactorily and provides significant improvement over EOM-CCSD, CASPT2 and
NEVPT2 for singlet excited states, lowering standard deviations of these
methods by almost a factor of 2. Triplet excited states are found to be
described less accurately, however. Besides the parent version of STEOM-CC,
additional variations are considered. STEOM-D includes a perturbative
correction from doubly excited determinants. The novel STEOM-H ($\omega$)
approach presents a sophisticated technique to render the STEOM-CC transformed
Hamiltonian hermitian. In STEOM-PT, the expensive CCSD step is replaced by
many-body second-order perturbation theory (MBPT(2)), while extended STEOM
(EXT-STEOM) provides access to doubly excited states. To study orbital
invariance in STEOM, we investigate orbital rotation in the STEOM-ORB approach.
Comparison of theses variations of STEOM for the large test set provides a
comprehensive statistical basis to gauge the usefulness of these approaches.
|
[
{
"created": "Wed, 12 Feb 2014 23:53:24 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jan 2018 17:55:09 GMT",
"version": "v2"
}
] |
2018-01-09
|
[
[
"Sous",
"J.",
""
],
[
"Goel",
"P.",
""
],
[
"Nooijen",
"M.",
""
]
] |
[
-0.0381438247859478,
-0.017934992909431458,
-0.04874574393033981,
0.05028996616601944,
0.028718356043100357,
-0.0019256650703027844,
-0.06503169238567352,
0.03084493987262249,
0.052036356180906296,
0.0032992055639624596,
0.04390846565365791,
-0.040802400559186935,
-0.045335136353969574,
-0.06644219905138016,
0.09031059592962265,
0.018111148849129677,
-0.002177626360207796,
0.1310906559228897,
0.04222558066248894,
0.011888409964740276,
-0.09559433907270432,
-0.02092820778489113,
0.026559725403785706,
-0.010037724860012531,
0.030283814296126366,
0.04305047169327736,
0.04832826182246208,
0.020483335480093956,
-0.014578046277165413,
-0.017882222309708595,
0.08229577541351318,
0.021213989704847336,
0.0020407147239893675,
-0.028547776862978935,
-0.004228272475302219,
0.045733582228422165,
0.03201138228178024,
-0.013975835405290127,
-0.03409823775291443,
-0.03705955669283867,
0.03858267143368721,
0.06148387864232063,
0.016651302576065063,
-0.03134138509631157,
0.043009642511606216,
-0.03631056845188141,
-0.039194256067276,
-0.045274000614881516,
-0.03553970530629158,
-0.06950096786022186,
0.08239582926034927,
0.04636453837156296,
-0.06213296577334404,
0.03325173631310463,
-0.06053105741739273,
0.0255355853587389,
-0.02145468257367611,
0.0068175760097801685,
0.0818912535905838,
-0.11498530209064484,
0.02709156647324562,
0.008346408605575562,
0.020066343247890472,
0.02111714892089367,
-0.0038692185189574957,
0.03742561861872673,
0.08923379331827164,
-0.08880695700645447,
0.07261168211698532,
-0.04365377500653267,
-0.11507219821214676,
0.0018951439997181296,
0.009016169235110283,
-0.04206623509526253,
-0.018586203455924988,
0.04969472438097,
0.010096125304698944,
-0.0054620555602014065,
0.048511628061532974,
-0.04681168869137764,
0.0035281036980450153,
0.023562610149383545,
0.0634690374135971,
-0.053164128214120865,
0.04299852252006531,
0.10485939681529999,
-0.05170218646526337,
-0.0060288007371127605,
-0.0020813923329114914,
-0.031547803431749344,
-0.02596547082066536,
-0.04082649573683739,
-0.08012373745441437,
-0.05940692499279976,
-0.0931294783949852,
-0.023179305717349052,
0.0979953184723854,
0.04523035138845444,
0.06915935128927231,
0.04428820312023163,
0.11622727662324905,
0.07998110353946686,
-0.06370243430137634,
-0.04295647516846657,
-0.0005914205685257912,
0.04007105529308319,
0.05775847285985947,
0.07609181106090546,
0.056507404893636703,
0.018305916339159012,
-0.08061817288398743,
0.03894336521625519,
0.0006093564443290234,
-0.03125879541039467,
-0.04887885972857475,
0.06119751185178757,
0.012777876108884811,
0.037227265536785126,
0.04227609559893608,
0.06255680322647095,
-0.00017431253218092024,
-0.054171327501535416,
0.004135479684919119,
0.0470588319003582,
0.018758336082100868,
-0.06785717606544495,
-0.06201283261179924,
3.0043521553896112e-33,
-0.014357877895236015,
0.044053688645362854,
0.10921711474657059,
0.04460733011364937,
0.015341599471867085,
-0.006836363580077887,
-0.009295986965298653,
-0.08866412937641144,
-0.09894810616970062,
-0.024806497618556023,
-0.01814541034400463,
0.01581096649169922,
0.045085448771715164,
0.008540647104382515,
-0.05903647467494011,
0.014871019870042801,
-0.043907321989536285,
0.0023291136603802443,
0.04612286016345024,
-0.08929935842752457,
-0.007786524947732687,
0.06787673383951187,
-0.0064831324853003025,
0.009646903723478317,
-0.10081858932971954,
0.021659191697835922,
0.023652737960219383,
0.028918521478772163,
-0.0172890555113554,
0.00647009490057826,
-0.02449440211057663,
0.0008855562191456556,
-0.060417838394641876,
-0.006730492226779461,
0.030808083713054657,
-0.00970746111124754,
-0.006275936961174011,
-0.10324356704950333,
0.05118599534034729,
-0.0805974155664444,
-0.06919034570455551,
0.03188642859458923,
0.058845363557338715,
-0.0812998116016388,
-0.023518972098827362,
0.023038312792778015,
0.05870356038212776,
-0.01771218329668045,
0.07287035882472992,
-0.013050882145762444,
-0.02647126279771328,
-0.008722666651010513,
-0.021256346255540848,
0.09246527403593063,
-0.0176872368901968,
-0.020156269893050194,
0.0559886135160923,
0.021775664761662483,
0.0558641254901886,
0.08351977169513702,
-0.020307058468461037,
0.017397811636328697,
-0.02615644410252571,
-0.06778611987829208,
-0.046173810958862305,
0.1009717732667923,
-0.13687700033187866,
-0.003914882894605398,
0.015699077397584915,
0.0459386445581913,
0.06432369351387024,
0.10444869846105576,
-0.00007041775097604841,
-0.034288667142391205,
0.09275500476360321,
0.011975337751209736,
0.0335826575756073,
-0.05013661831617355,
-0.012363551184535027,
-0.07274885475635529,
-0.062499042600393295,
0.008483219891786575,
-0.05953359976410866,
0.0073665715754032135,
-0.07380262762308121,
-0.06045720726251602,
-0.06305940449237823,
-0.06862751394510269,
-0.11317748576402664,
0.03614886477589607,
0.06211346015334129,
-0.028572455048561096,
-0.015275456942617893,
-0.031710147857666016,
-0.05031440407037735,
-3.5361030043604044e-33,
0.007723382208496332,
0.020779889076948166,
-0.013976698741316795,
-0.02741781808435917,
-0.010926262475550175,
-0.041620150208473206,
-0.042239364236593246,
-0.007719580549746752,
0.027552414685487747,
-0.10273844003677368,
0.12166792899370193,
-0.023247843608260155,
-0.0056846230290830135,
0.029624782502651215,
0.023352401331067085,
0.021603569388389587,
0.03445115312933922,
-0.020915547385811806,
0.1126907542347908,
0.03157410770654678,
0.024385515600442886,
-0.009892706759274006,
0.014057941734790802,
0.025316575542092323,
-0.040237654000520706,
0.05762220546603203,
0.01870930753648281,
-0.029960153624415398,
0.06864992529153824,
-0.02561855874955654,
-0.0318119116127491,
0.09061838686466217,
-0.03971695527434349,
0.16065363585948944,
-0.0016329032368957996,
0.07374872267246246,
-0.013934323564171791,
0.06445419043302536,
-0.06768792122602463,
0.02533145435154438,
-0.05471957474946976,
-0.018191779032349586,
-0.04468444734811783,
-0.011037037707865238,
0.10226783156394958,
0.07031022012233734,
-0.0008676282595843077,
0.04150696471333504,
0.013786571100354195,
0.06033648923039436,
-0.029107723385095596,
-0.00663848128169775,
-0.09037252515554428,
0.04444315657019615,
0.015537658706307411,
0.04427999258041382,
-0.03358263149857521,
-0.00045479231630451977,
0.026524633169174194,
-0.083223357796669,
-0.03212978318333626,
0.007208939641714096,
0.004604384768754244,
-0.038979422301054,
-0.029050642624497414,
-0.008800684474408627,
-0.029551582410931587,
-0.006273703183978796,
0.058362945914268494,
0.002887932350859046,
-0.1026342436671257,
0.020872406661510468,
0.042206060141325,
-0.03315231204032898,
-0.0174085833132267,
-0.12704288959503174,
0.0937829241156578,
-0.10711345821619034,
0.016979403793811798,
-0.045518070459365845,
-0.029816875234246254,
0.004735141061246395,
0.025635093450546265,
-0.05401527136564255,
-0.02217772975564003,
0.06196248158812523,
0.009157239459455013,
-0.03388850763440132,
-0.04634454473853111,
-0.0063096908852458,
-0.0027515471447259188,
0.09304248541593552,
0.05421730875968933,
0.03573545813560486,
0.044724415987730026,
-4.931300168209418e-8,
0.01611277274787426,
-0.11155122518539429,
-0.030958542600274086,
-0.0025285612791776657,
-0.014382462948560715,
0.04838330298662186,
0.003933087922632694,
-0.012332169339060783,
-0.07344863563776016,
-0.07543684542179108,
0.0940321832895279,
-0.03270192816853523,
0.009631573222577572,
-0.05812603980302811,
0.020839285105466843,
0.060400091111660004,
-0.07318272441625595,
-0.05295928195118904,
-0.04940538853406906,
0.012416447512805462,
-0.07718650996685028,
0.01117425225675106,
-0.011273386888206005,
0.001893969252705574,
0.05214716121554375,
-0.013964238576591015,
-0.023322323337197304,
-0.03583647310733795,
0.011370035819709301,
-0.007221076171845198,
-0.006671657785773277,
-0.038191646337509155,
0.04610724747180939,
0.08348400145769119,
0.07980883121490479,
-0.007515064440667629,
-0.0718262642621994,
0.047742344439029694,
-0.03941953182220459,
0.09850834310054779,
-0.01902276650071144,
0.05172966793179512,
-0.05637820065021515,
0.05470264330506325,
0.0482683889567852,
0.04356250911951065,
0.01854829676449299,
0.026319418102502823,
0.02584308758378029,
-0.034286417067050934,
-0.02277047000825405,
-0.021735098212957382,
-0.05461821332573891,
-0.009537079371511936,
-0.049579791724681854,
0.008393394760787487,
-0.1117582768201828,
-0.008027777075767517,
0.08541031181812286,
-0.01302088052034378,
0.0276925191283226,
-0.07027430087327957,
-0.028207937255501747,
0.016854120418429375
] | null | null | null | null | null | null | null |
[
-0.0381438247859478,
-0.017934992909431458,
-0.04874574393033981,
0.05028996616601944,
0.028718356043100357,
-0.0019256650703027844,
-0.06503169238567352,
0.03084493987262249,
0.052036356180906296,
0.0032992055639624596,
0.04390846565365791,
-0.040802400559186935,
-0.045335136353969574,
-0.06644219905138016,
0.09031059592962265,
0.018111148849129677,
-0.002177626360207796,
0.1310906559228897,
0.04222558066248894,
0.011888409964740276,
-0.09559433907270432,
-0.02092820778489113,
0.026559725403785706,
-0.010037724860012531,
0.030283814296126366,
0.04305047169327736,
0.04832826182246208,
0.020483335480093956,
-0.014578046277165413,
-0.017882222309708595,
0.08229577541351318,
0.021213989704847336,
0.0020407147239893675,
-0.028547776862978935,
-0.004228272475302219,
0.045733582228422165,
0.03201138228178024,
-0.013975835405290127,
-0.03409823775291443,
-0.03705955669283867,
0.03858267143368721,
0.06148387864232063,
0.016651302576065063,
-0.03134138509631157,
0.043009642511606216,
-0.03631056845188141,
-0.039194256067276,
-0.045274000614881516,
-0.03553970530629158,
-0.06950096786022186,
0.08239582926034927,
0.04636453837156296,
-0.06213296577334404,
0.03325173631310463,
-0.06053105741739273,
0.0255355853587389,
-0.02145468257367611,
0.0068175760097801685,
0.0818912535905838,
-0.11498530209064484,
0.02709156647324562,
0.008346408605575562,
0.020066343247890472,
0.02111714892089367,
-0.0038692185189574957,
0.03742561861872673,
0.08923379331827164,
-0.08880695700645447,
0.07261168211698532,
-0.04365377500653267,
-0.11507219821214676,
0.0018951439997181296,
0.009016169235110283,
-0.04206623509526253,
-0.018586203455924988,
0.04969472438097,
0.010096125304698944,
-0.0054620555602014065,
0.048511628061532974,
-0.04681168869137764,
0.0035281036980450153,
0.023562610149383545,
0.0634690374135971,
-0.053164128214120865,
0.04299852252006531,
0.10485939681529999,
-0.05170218646526337,
-0.0060288007371127605,
-0.0020813923329114914,
-0.031547803431749344,
-0.02596547082066536,
-0.04082649573683739,
-0.08012373745441437,
-0.05940692499279976,
-0.0931294783949852,
-0.023179305717349052,
0.0979953184723854,
0.04523035138845444,
0.06915935128927231,
0.04428820312023163,
0.11622727662324905,
0.07998110353946686,
-0.06370243430137634,
-0.04295647516846657,
-0.0005914205685257912,
0.04007105529308319,
0.05775847285985947,
0.07609181106090546,
0.056507404893636703,
0.018305916339159012,
-0.08061817288398743,
0.03894336521625519,
0.0006093564443290234,
-0.03125879541039467,
-0.04887885972857475,
0.06119751185178757,
0.012777876108884811,
0.037227265536785126,
0.04227609559893608,
0.06255680322647095,
-0.00017431253218092024,
-0.054171327501535416,
0.004135479684919119,
0.0470588319003582,
0.018758336082100868,
-0.06785717606544495,
-0.06201283261179924,
3.0043521553896112e-33,
-0.014357877895236015,
0.044053688645362854,
0.10921711474657059,
0.04460733011364937,
0.015341599471867085,
-0.006836363580077887,
-0.009295986965298653,
-0.08866412937641144,
-0.09894810616970062,
-0.024806497618556023,
-0.01814541034400463,
0.01581096649169922,
0.045085448771715164,
0.008540647104382515,
-0.05903647467494011,
0.014871019870042801,
-0.043907321989536285,
0.0023291136603802443,
0.04612286016345024,
-0.08929935842752457,
-0.007786524947732687,
0.06787673383951187,
-0.0064831324853003025,
0.009646903723478317,
-0.10081858932971954,
0.021659191697835922,
0.023652737960219383,
0.028918521478772163,
-0.0172890555113554,
0.00647009490057826,
-0.02449440211057663,
0.0008855562191456556,
-0.060417838394641876,
-0.006730492226779461,
0.030808083713054657,
-0.00970746111124754,
-0.006275936961174011,
-0.10324356704950333,
0.05118599534034729,
-0.0805974155664444,
-0.06919034570455551,
0.03188642859458923,
0.058845363557338715,
-0.0812998116016388,
-0.023518972098827362,
0.023038312792778015,
0.05870356038212776,
-0.01771218329668045,
0.07287035882472992,
-0.013050882145762444,
-0.02647126279771328,
-0.008722666651010513,
-0.021256346255540848,
0.09246527403593063,
-0.0176872368901968,
-0.020156269893050194,
0.0559886135160923,
0.021775664761662483,
0.0558641254901886,
0.08351977169513702,
-0.020307058468461037,
0.017397811636328697,
-0.02615644410252571,
-0.06778611987829208,
-0.046173810958862305,
0.1009717732667923,
-0.13687700033187866,
-0.003914882894605398,
0.015699077397584915,
0.0459386445581913,
0.06432369351387024,
0.10444869846105576,
-0.00007041775097604841,
-0.034288667142391205,
0.09275500476360321,
0.011975337751209736,
0.0335826575756073,
-0.05013661831617355,
-0.012363551184535027,
-0.07274885475635529,
-0.062499042600393295,
0.008483219891786575,
-0.05953359976410866,
0.0073665715754032135,
-0.07380262762308121,
-0.06045720726251602,
-0.06305940449237823,
-0.06862751394510269,
-0.11317748576402664,
0.03614886477589607,
0.06211346015334129,
-0.028572455048561096,
-0.015275456942617893,
-0.031710147857666016,
-0.05031440407037735,
-3.5361030043604044e-33,
0.007723382208496332,
0.020779889076948166,
-0.013976698741316795,
-0.02741781808435917,
-0.010926262475550175,
-0.041620150208473206,
-0.042239364236593246,
-0.007719580549746752,
0.027552414685487747,
-0.10273844003677368,
0.12166792899370193,
-0.023247843608260155,
-0.0056846230290830135,
0.029624782502651215,
0.023352401331067085,
0.021603569388389587,
0.03445115312933922,
-0.020915547385811806,
0.1126907542347908,
0.03157410770654678,
0.024385515600442886,
-0.009892706759274006,
0.014057941734790802,
0.025316575542092323,
-0.040237654000520706,
0.05762220546603203,
0.01870930753648281,
-0.029960153624415398,
0.06864992529153824,
-0.02561855874955654,
-0.0318119116127491,
0.09061838686466217,
-0.03971695527434349,
0.16065363585948944,
-0.0016329032368957996,
0.07374872267246246,
-0.013934323564171791,
0.06445419043302536,
-0.06768792122602463,
0.02533145435154438,
-0.05471957474946976,
-0.018191779032349586,
-0.04468444734811783,
-0.011037037707865238,
0.10226783156394958,
0.07031022012233734,
-0.0008676282595843077,
0.04150696471333504,
0.013786571100354195,
0.06033648923039436,
-0.029107723385095596,
-0.00663848128169775,
-0.09037252515554428,
0.04444315657019615,
0.015537658706307411,
0.04427999258041382,
-0.03358263149857521,
-0.00045479231630451977,
0.026524633169174194,
-0.083223357796669,
-0.03212978318333626,
0.007208939641714096,
0.004604384768754244,
-0.038979422301054,
-0.029050642624497414,
-0.008800684474408627,
-0.029551582410931587,
-0.006273703183978796,
0.058362945914268494,
0.002887932350859046,
-0.1026342436671257,
0.020872406661510468,
0.042206060141325,
-0.03315231204032898,
-0.0174085833132267,
-0.12704288959503174,
0.0937829241156578,
-0.10711345821619034,
0.016979403793811798,
-0.045518070459365845,
-0.029816875234246254,
0.004735141061246395,
0.025635093450546265,
-0.05401527136564255,
-0.02217772975564003,
0.06196248158812523,
0.009157239459455013,
-0.03388850763440132,
-0.04634454473853111,
-0.0063096908852458,
-0.0027515471447259188,
0.09304248541593552,
0.05421730875968933,
0.03573545813560486,
0.044724415987730026,
-4.931300168209418e-8,
0.01611277274787426,
-0.11155122518539429,
-0.030958542600274086,
-0.0025285612791776657,
-0.014382462948560715,
0.04838330298662186,
0.003933087922632694,
-0.012332169339060783,
-0.07344863563776016,
-0.07543684542179108,
0.0940321832895279,
-0.03270192816853523,
0.009631573222577572,
-0.05812603980302811,
0.020839285105466843,
0.060400091111660004,
-0.07318272441625595,
-0.05295928195118904,
-0.04940538853406906,
0.012416447512805462,
-0.07718650996685028,
0.01117425225675106,
-0.011273386888206005,
0.001893969252705574,
0.05214716121554375,
-0.013964238576591015,
-0.023322323337197304,
-0.03583647310733795,
0.011370035819709301,
-0.007221076171845198,
-0.006671657785773277,
-0.038191646337509155,
0.04610724747180939,
0.08348400145769119,
0.07980883121490479,
-0.007515064440667629,
-0.0718262642621994,
0.047742344439029694,
-0.03941953182220459,
0.09850834310054779,
-0.01902276650071144,
0.05172966793179512,
-0.05637820065021515,
0.05470264330506325,
0.0482683889567852,
0.04356250911951065,
0.01854829676449299,
0.026319418102502823,
0.02584308758378029,
-0.034286417067050934,
-0.02277047000825405,
-0.021735098212957382,
-0.05461821332573891,
-0.009537079371511936,
-0.049579791724681854,
0.008393394760787487,
-0.1117582768201828,
-0.008027777075767517,
0.08541031181812286,
-0.01302088052034378,
0.0276925191283226,
-0.07027430087327957,
-0.028207937255501747,
0.016854120418429375
] |
1402.3010
|
Eray Ozkural
|
Eray \"Ozkural, Cevdet Aykanat
|
1-D and 2-D Parallel Algorithms for All-Pairs Similarity Problem
| null | null | null | null |
cs.IR cs.DC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
All-pairs similarity problem asks to find all vector pairs in a set of
vectors the similarities of which surpass a given similarity threshold, and it
is a computational kernel in data mining and information retrieval for several
tasks. We investigate the parallelization of a recent fast sequential
algorithm. We propose effective 1-D and 2-D data distribution strategies that
preserve the essential optimizations in the fast algorithm. 1-D parallel
algorithms distribute either dimensions or vectors, whereas the 2-D parallel
algorithm distributes data both ways. Additional contributions to the 1-D
vertical distribution include a local pruning strategy to reduce the number of
candidates, a recursive pruning algorithm, and block processing to reduce
imbalance. The parallel algorithms were programmed in OCaml which affords much
convenience. Our experiments indicate that the performance depends on the
dataset, therefore a variety of parallelizations is useful.
|
[
{
"created": "Thu, 13 Feb 2014 00:14:33 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Özkural",
"Eray",
""
],
[
"Aykanat",
"Cevdet",
""
]
] |
[
-0.07651474326848984,
-0.0034851590171456337,
-0.009490669704973698,
-0.09383052587509155,
0.03179801627993584,
-0.059712328016757965,
-0.016131844371557236,
-0.022224146872758865,
0.03665599972009659,
-0.04541616141796112,
0.018787574023008347,
0.029192788526415825,
0.022951511666178703,
0.04312359169125557,
0.001520012621767819,
0.03682662174105644,
0.03182326257228851,
0.06817574799060822,
-0.020555393770337105,
-0.018102219328284264,
-0.05196657404303551,
-0.0172127615660429,
-0.0012607327662408352,
0.03304954618215561,
0.026461055502295494,
0.027038943022489548,
0.07973714172840118,
-0.048895128071308136,
-0.021056002005934715,
-0.03199870139360428,
0.0674014538526535,
-0.001728967297822237,
0.05365206301212311,
0.004757733549922705,
-0.12090910226106644,
-0.001075083389878273,
-0.009420886635780334,
0.0072716232389211655,
-0.07808379083871841,
0.01141258142888546,
-0.025066256523132324,
0.01964791864156723,
-0.01386560220271349,
0.05746375396847725,
-0.035993654280900955,
0.08764959126710892,
-0.02291998080909252,
0.003077785950154066,
0.12538209557533264,
0.009858225472271442,
-0.12829700112342834,
0.05032510682940483,
-0.05909081548452377,
0.0776577889919281,
-0.009824339300394058,
-0.07445089519023895,
-0.0258132703602314,
-0.030889471992850304,
-0.03141109645366669,
-0.004690409637987614,
-0.014589594677090645,
-0.1351117491722107,
0.05842000991106033,
-0.009812571108341217,
0.003271251218393445,
-0.02701404131948948,
0.019575441256165504,
0.0608825758099556,
0.013546360656619072,
-0.030160335823893547,
0.00677972799167037,
0.12757188081741333,
-0.06035741791129112,
0.13402625918388367,
0.03186947479844093,
0.08962581306695938,
0.013217289000749588,
0.006438907235860825,
-0.02405485138297081,
-0.08627108484506607,
-0.05589843541383743,
0.0005528419860638678,
-0.017998062074184418,
0.045022331178188324,
0.04725072532892227,
-0.05560334399342537,
0.041455771774053574,
0.009223072789609432,
0.02014080062508583,
-0.02416457235813141,
-0.03471381589770317,
0.03221578150987625,
0.07640264183282852,
-0.048199884593486786,
-0.03788303583860397,
-0.015450067818164825,
0.004226497374475002,
0.037155456840991974,
0.029392195865511894,
0.06333185732364655,
-0.024703897535800934,
0.07505187392234802,
0.032542478293180466,
0.022061990574002266,
0.01719542033970356,
-0.015011508017778397,
0.026702716946601868,
-0.02510869689285755,
0.0557824969291687,
-0.19661930203437805,
0.037950549274683,
0.01528571080416441,
0.021243734285235405,
0.019073160365223885,
0.016744816675782204,
-0.03785092756152153,
-0.007057039998471737,
-0.019265176728367805,
-0.01957119069993496,
0.052660346031188965,
-0.0241383109241724,
-0.02591605857014656,
-0.007266904227435589,
0.008376293815672398,
0.013194765895605087,
0.010584159754216671,
-0.012215707451105118,
2.3425398359980398e-33,
0.007173198275268078,
0.05368178337812424,
0.043968960642814636,
-0.06004731357097626,
0.02896028570830822,
-0.02364891953766346,
-0.024084271863102913,
0.025064103305339813,
-0.04929632321000099,
0.0596027709543705,
-0.07430323213338852,
-0.037262462079524994,
0.01746511273086071,
0.0933566465973854,
0.011710326187312603,
-0.07157386094331741,
0.02788400650024414,
0.0004371777758933604,
-0.060085948556661606,
-0.06347402185201645,
0.07832861691713333,
-0.04586812108755112,
0.032551392912864685,
0.07702196389436722,
-0.0070110890083014965,
-0.03556901961565018,
0.014060547575354576,
-0.0829644575715065,
0.043917279690504074,
-0.015023969113826752,
-0.028681287541985512,
0.036288004368543625,
0.014115654863417149,
0.048374198377132416,
0.048089705407619476,
0.010428247973322868,
0.0030205301009118557,
-0.033715859055519104,
0.02927621454000473,
-0.004399808589369059,
-0.046711575239896774,
-0.0068633537739515305,
-0.04753848537802696,
-0.09273578971624374,
-0.059973400086164474,
-0.001080334186553955,
-0.045516856014728546,
0.006750132888555527,
0.03850630670785904,
-0.038983963429927826,
0.11510327458381653,
-0.030654892325401306,
-0.040031056851148605,
0.039646513760089874,
0.02453845553100109,
-0.005995577666908503,
-0.06812981516122818,
0.014824655838310719,
0.052314914762973785,
0.11553441733121872,
-0.05410498008131981,
0.0012489310465753078,
0.00040252902545034885,
0.025223106145858765,
-0.050682950764894485,
-0.05257180333137512,
0.006152556277811527,
0.020702186971902847,
0.038624025881290436,
0.09432877600193024,
0.035737041383981705,
0.03431405499577522,
-0.07416591048240662,
-0.06284608691930771,
0.01630675606429577,
0.06816242635250092,
0.07228127866983414,
-0.06829505413770676,
-0.049740396440029144,
0.0545305497944355,
-0.12070059776306152,
0.01689109019935131,
0.0632442757487297,
-0.07325193285942078,
-0.04981740936636925,
-0.05055755749344826,
0.0702337697148323,
-0.05442086234688759,
-0.039281368255615234,
0.04007339850068092,
-0.07076068222522736,
0.054819121956825256,
-0.02709289826452732,
-0.058705057948827744,
0.050023261457681656,
-1.7541762607366836e-33,
-0.07629644125699997,
0.00652854610234499,
-0.0007091414299793541,
-0.005260620731860399,
-0.011435505002737045,
-0.027984870597720146,
-0.012928836978971958,
-0.015100966207683086,
-0.05318933725357056,
0.006201861891895533,
-0.032202620059251785,
-0.05950815603137016,
-0.012822559103369713,
-0.025669261813163757,
0.0310695618391037,
0.06536968797445297,
0.029327666386961937,
0.0848943367600441,
-0.04895961657166481,
0.05620149150490761,
-0.025494426488876343,
0.057678453624248505,
-0.03594786673784256,
0.024680906906723976,
-0.015607624314725399,
0.043749839067459106,
0.04607918858528137,
-0.02661997266113758,
0.03184283524751663,
-0.07312968373298645,
-0.011523737572133541,
0.02359103597700596,
-0.04694919288158417,
-0.04639207199215889,
-0.006876308936625719,
-0.0015326954890042543,
-0.025397127494215965,
-0.006506360601633787,
0.0072468663565814495,
0.04619653522968292,
-0.008531369268894196,
0.00709645776078105,
-0.044370315968990326,
-0.038860008120536804,
-0.04747326299548149,
-0.02397451549768448,
-0.0754561573266983,
-0.018995923921465874,
0.0009728673612698913,
-0.02083679288625717,
-0.012259772047400475,
0.10565535724163055,
-0.015902621671557426,
0.0817282646894455,
0.09687511622905731,
-0.060407668352127075,
-0.04032972455024719,
0.06808023899793625,
0.03277554363012314,
0.016913991421461105,
0.002711376640945673,
-0.06942558288574219,
0.011734786443412304,
0.03646998479962349,
0.04183884337544441,
-0.02499525435268879,
0.11964201182126999,
0.045533183962106705,
-0.0800064280629158,
0.03473762422800064,
0.0397397018969059,
0.06513883173465729,
0.028797736391425133,
-0.01922033727169037,
-0.0472952201962471,
-0.014400853775441647,
0.013438906520605087,
-0.002512427046895027,
-0.017309224233031273,
0.049195028841495514,
0.02353280410170555,
-0.02377491630613804,
-0.000988925457932055,
0.01384520623832941,
-0.03427121415734291,
0.12362167984247208,
0.08385907858610153,
-0.015479030087590218,
0.09161084145307541,
-0.01848410815000534,
-0.008325048722326756,
0.027641654014587402,
0.030334537848830223,
0.017582710832357407,
0.06122301146388054,
-4.261789854353992e-8,
-0.047792136669158936,
-0.061487697064876556,
-0.02422448806464672,
-0.010333745740354061,
0.044219255447387695,
0.01871173083782196,
-0.02896205522119999,
0.19918479025363922,
-0.13705450296401978,
-0.006585330702364445,
0.04990500211715698,
-0.015009157359600067,
0.035468026995658875,
-0.0026243242900818586,
0.08965557813644409,
0.005490366369485855,
0.056003522127866745,
-0.09253033995628357,
0.03736742585897446,
0.0488627664744854,
-0.02719763107597828,
0.030154384672641754,
-0.0022767747286707163,
0.07323857396841049,
-0.046057119965553284,
-0.027621466666460037,
0.07569099217653275,
-0.03365761414170265,
0.1386527568101883,
-0.058484818786382675,
-0.03971587121486664,
-0.019686421379446983,
0.013236776925623417,
-0.09627751260995865,
0.050582386553287506,
0.0337345153093338,
-0.03404820337891579,
0.04003433510661125,
-0.09123782813549042,
-0.03140740841627121,
0.013181161135435104,
0.013420485891401768,
0.0675676092505455,
0.006596480496227741,
0.0663270428776741,
0.015741849318146706,
0.02850230038166046,
0.011318202130496502,
-0.022182118147611618,
-0.059759825468063354,
-0.0308802779763937,
0.005359829403460026,
0.0882587879896164,
0.02613966166973114,
-0.021106859669089317,
0.002597138052806258,
-0.09200887382030487,
-0.05474100261926651,
0.08878941833972931,
-0.08340637385845184,
0.05151534080505371,
-0.11037927865982056,
-0.06629151105880737,
0.02208915911614895
] | null | null | null | null | null | null | null |
[
-0.07651474326848984,
-0.0034851590171456337,
-0.009490669704973698,
-0.09383052587509155,
0.03179801627993584,
-0.059712328016757965,
-0.016131844371557236,
-0.022224146872758865,
0.03665599972009659,
-0.04541616141796112,
0.018787574023008347,
0.029192788526415825,
0.022951511666178703,
0.04312359169125557,
0.001520012621767819,
0.03682662174105644,
0.03182326257228851,
0.06817574799060822,
-0.020555393770337105,
-0.018102219328284264,
-0.05196657404303551,
-0.0172127615660429,
-0.0012607327662408352,
0.03304954618215561,
0.026461055502295494,
0.027038943022489548,
0.07973714172840118,
-0.048895128071308136,
-0.021056002005934715,
-0.03199870139360428,
0.0674014538526535,
-0.001728967297822237,
0.05365206301212311,
0.004757733549922705,
-0.12090910226106644,
-0.001075083389878273,
-0.009420886635780334,
0.0072716232389211655,
-0.07808379083871841,
0.01141258142888546,
-0.025066256523132324,
0.01964791864156723,
-0.01386560220271349,
0.05746375396847725,
-0.035993654280900955,
0.08764959126710892,
-0.02291998080909252,
0.003077785950154066,
0.12538209557533264,
0.009858225472271442,
-0.12829700112342834,
0.05032510682940483,
-0.05909081548452377,
0.0776577889919281,
-0.009824339300394058,
-0.07445089519023895,
-0.0258132703602314,
-0.030889471992850304,
-0.03141109645366669,
-0.004690409637987614,
-0.014589594677090645,
-0.1351117491722107,
0.05842000991106033,
-0.009812571108341217,
0.003271251218393445,
-0.02701404131948948,
0.019575441256165504,
0.0608825758099556,
0.013546360656619072,
-0.030160335823893547,
0.00677972799167037,
0.12757188081741333,
-0.06035741791129112,
0.13402625918388367,
0.03186947479844093,
0.08962581306695938,
0.013217289000749588,
0.006438907235860825,
-0.02405485138297081,
-0.08627108484506607,
-0.05589843541383743,
0.0005528419860638678,
-0.017998062074184418,
0.045022331178188324,
0.04725072532892227,
-0.05560334399342537,
0.041455771774053574,
0.009223072789609432,
0.02014080062508583,
-0.02416457235813141,
-0.03471381589770317,
0.03221578150987625,
0.07640264183282852,
-0.048199884593486786,
-0.03788303583860397,
-0.015450067818164825,
0.004226497374475002,
0.037155456840991974,
0.029392195865511894,
0.06333185732364655,
-0.024703897535800934,
0.07505187392234802,
0.032542478293180466,
0.022061990574002266,
0.01719542033970356,
-0.015011508017778397,
0.026702716946601868,
-0.02510869689285755,
0.0557824969291687,
-0.19661930203437805,
0.037950549274683,
0.01528571080416441,
0.021243734285235405,
0.019073160365223885,
0.016744816675782204,
-0.03785092756152153,
-0.007057039998471737,
-0.019265176728367805,
-0.01957119069993496,
0.052660346031188965,
-0.0241383109241724,
-0.02591605857014656,
-0.007266904227435589,
0.008376293815672398,
0.013194765895605087,
0.010584159754216671,
-0.012215707451105118,
2.3425398359980398e-33,
0.007173198275268078,
0.05368178337812424,
0.043968960642814636,
-0.06004731357097626,
0.02896028570830822,
-0.02364891953766346,
-0.024084271863102913,
0.025064103305339813,
-0.04929632321000099,
0.0596027709543705,
-0.07430323213338852,
-0.037262462079524994,
0.01746511273086071,
0.0933566465973854,
0.011710326187312603,
-0.07157386094331741,
0.02788400650024414,
0.0004371777758933604,
-0.060085948556661606,
-0.06347402185201645,
0.07832861691713333,
-0.04586812108755112,
0.032551392912864685,
0.07702196389436722,
-0.0070110890083014965,
-0.03556901961565018,
0.014060547575354576,
-0.0829644575715065,
0.043917279690504074,
-0.015023969113826752,
-0.028681287541985512,
0.036288004368543625,
0.014115654863417149,
0.048374198377132416,
0.048089705407619476,
0.010428247973322868,
0.0030205301009118557,
-0.033715859055519104,
0.02927621454000473,
-0.004399808589369059,
-0.046711575239896774,
-0.0068633537739515305,
-0.04753848537802696,
-0.09273578971624374,
-0.059973400086164474,
-0.001080334186553955,
-0.045516856014728546,
0.006750132888555527,
0.03850630670785904,
-0.038983963429927826,
0.11510327458381653,
-0.030654892325401306,
-0.040031056851148605,
0.039646513760089874,
0.02453845553100109,
-0.005995577666908503,
-0.06812981516122818,
0.014824655838310719,
0.052314914762973785,
0.11553441733121872,
-0.05410498008131981,
0.0012489310465753078,
0.00040252902545034885,
0.025223106145858765,
-0.050682950764894485,
-0.05257180333137512,
0.006152556277811527,
0.020702186971902847,
0.038624025881290436,
0.09432877600193024,
0.035737041383981705,
0.03431405499577522,
-0.07416591048240662,
-0.06284608691930771,
0.01630675606429577,
0.06816242635250092,
0.07228127866983414,
-0.06829505413770676,
-0.049740396440029144,
0.0545305497944355,
-0.12070059776306152,
0.01689109019935131,
0.0632442757487297,
-0.07325193285942078,
-0.04981740936636925,
-0.05055755749344826,
0.0702337697148323,
-0.05442086234688759,
-0.039281368255615234,
0.04007339850068092,
-0.07076068222522736,
0.054819121956825256,
-0.02709289826452732,
-0.058705057948827744,
0.050023261457681656,
-1.7541762607366836e-33,
-0.07629644125699997,
0.00652854610234499,
-0.0007091414299793541,
-0.005260620731860399,
-0.011435505002737045,
-0.027984870597720146,
-0.012928836978971958,
-0.015100966207683086,
-0.05318933725357056,
0.006201861891895533,
-0.032202620059251785,
-0.05950815603137016,
-0.012822559103369713,
-0.025669261813163757,
0.0310695618391037,
0.06536968797445297,
0.029327666386961937,
0.0848943367600441,
-0.04895961657166481,
0.05620149150490761,
-0.025494426488876343,
0.057678453624248505,
-0.03594786673784256,
0.024680906906723976,
-0.015607624314725399,
0.043749839067459106,
0.04607918858528137,
-0.02661997266113758,
0.03184283524751663,
-0.07312968373298645,
-0.011523737572133541,
0.02359103597700596,
-0.04694919288158417,
-0.04639207199215889,
-0.006876308936625719,
-0.0015326954890042543,
-0.025397127494215965,
-0.006506360601633787,
0.0072468663565814495,
0.04619653522968292,
-0.008531369268894196,
0.00709645776078105,
-0.044370315968990326,
-0.038860008120536804,
-0.04747326299548149,
-0.02397451549768448,
-0.0754561573266983,
-0.018995923921465874,
0.0009728673612698913,
-0.02083679288625717,
-0.012259772047400475,
0.10565535724163055,
-0.015902621671557426,
0.0817282646894455,
0.09687511622905731,
-0.060407668352127075,
-0.04032972455024719,
0.06808023899793625,
0.03277554363012314,
0.016913991421461105,
0.002711376640945673,
-0.06942558288574219,
0.011734786443412304,
0.03646998479962349,
0.04183884337544441,
-0.02499525435268879,
0.11964201182126999,
0.045533183962106705,
-0.0800064280629158,
0.03473762422800064,
0.0397397018969059,
0.06513883173465729,
0.028797736391425133,
-0.01922033727169037,
-0.0472952201962471,
-0.014400853775441647,
0.013438906520605087,
-0.002512427046895027,
-0.017309224233031273,
0.049195028841495514,
0.02353280410170555,
-0.02377491630613804,
-0.000988925457932055,
0.01384520623832941,
-0.03427121415734291,
0.12362167984247208,
0.08385907858610153,
-0.015479030087590218,
0.09161084145307541,
-0.01848410815000534,
-0.008325048722326756,
0.027641654014587402,
0.030334537848830223,
0.017582710832357407,
0.06122301146388054,
-4.261789854353992e-8,
-0.047792136669158936,
-0.061487697064876556,
-0.02422448806464672,
-0.010333745740354061,
0.044219255447387695,
0.01871173083782196,
-0.02896205522119999,
0.19918479025363922,
-0.13705450296401978,
-0.006585330702364445,
0.04990500211715698,
-0.015009157359600067,
0.035468026995658875,
-0.0026243242900818586,
0.08965557813644409,
0.005490366369485855,
0.056003522127866745,
-0.09253033995628357,
0.03736742585897446,
0.0488627664744854,
-0.02719763107597828,
0.030154384672641754,
-0.0022767747286707163,
0.07323857396841049,
-0.046057119965553284,
-0.027621466666460037,
0.07569099217653275,
-0.03365761414170265,
0.1386527568101883,
-0.058484818786382675,
-0.03971587121486664,
-0.019686421379446983,
0.013236776925623417,
-0.09627751260995865,
0.050582386553287506,
0.0337345153093338,
-0.03404820337891579,
0.04003433510661125,
-0.09123782813549042,
-0.03140740841627121,
0.013181161135435104,
0.013420485891401768,
0.0675676092505455,
0.006596480496227741,
0.0663270428776741,
0.015741849318146706,
0.02850230038166046,
0.011318202130496502,
-0.022182118147611618,
-0.059759825468063354,
-0.0308802779763937,
0.005359829403460026,
0.0882587879896164,
0.02613966166973114,
-0.021106859669089317,
0.002597138052806258,
-0.09200887382030487,
-0.05474100261926651,
0.08878941833972931,
-0.08340637385845184,
0.05151534080505371,
-0.11037927865982056,
-0.06629151105880737,
0.02208915911614895
] |
1402.3011
|
Mikolas Janota
|
Joao Marques-Silva and Mikolas Janota
|
Computing Minimal Sets on Propositional Formulae I: Problems &
Reductions
|
This version contains some fixes in formatting and bibliography
| null | null | null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Boolean Satisfiability (SAT) is arguably the archetypical NP-complete
decision problem. Progress in SAT solving algorithms has motivated an ever
increasing number of practical applications in recent years. However, many
practical uses of SAT involve solving function as opposed to decision problems.
Concrete examples include computing minimal unsatisfiable subsets, minimal
correction subsets, prime implicates and implicants, minimal models, backbone
literals, and autarkies, among several others. In most cases, solving a
function problem requires a number of adaptive or non-adaptive calls to a SAT
solver. Given the computational complexity of SAT, it is therefore important to
develop algorithms that either require the smallest possible number of calls to
the SAT solver, or that involve simpler instances. This paper addresses a
number of representative function problems defined on Boolean formulas, and
shows that all these function problems can be reduced to a generic problem of
computing a minimal set subject to a monotone predicate. This problem is
referred to as the Minimal Set over Monotone Predicate (MSMP) problem. This
exercise provides new ways for solving well-known function problems, including
prime implicates, minimal correction subsets, backbone literals, independent
variables and autarkies, among several others. Moreover, this exercise
motivates the development of more efficient algorithms for the MSMP problem.
Finally the paper outlines a number of areas of future research related with
extensions of the MSMP problem.
|
[
{
"created": "Thu, 13 Feb 2014 00:27:51 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2014 14:48:55 GMT",
"version": "v2"
}
] |
2014-02-17
|
[
[
"Marques-Silva",
"Joao",
""
],
[
"Janota",
"Mikolas",
""
]
] |
[
-0.005026230122894049,
0.043154194951057434,
0.03146033734083176,
0.009523305110633373,
0.043918803334236145,
-0.02342468872666359,
0.0047791195102036,
0.05821506679058075,
-0.01606276072561741,
0.07493538409471512,
-0.05924367532134056,
-0.040927592664957047,
0.04606509208679199,
0.03894350305199623,
0.021830230951309204,
0.0537557452917099,
-0.02175721898674965,
0.03512193262577057,
-0.020140450447797775,
-0.04851005598902702,
-0.03196073696017265,
0.013395250774919987,
-0.12917546927928925,
0.04820455610752106,
-0.037889983505010605,
-0.061808228492736816,
-0.003279000287875533,
-0.035976722836494446,
0.013174965046346188,
0.016456978395581245,
-0.03710342198610306,
0.013619422912597656,
0.0652165487408638,
0.018669620156288147,
-0.05919730290770531,
0.0729028731584549,
-0.023008715361356735,
-0.0076798065565526485,
-0.005335324909538031,
-0.01654549315571785,
0.010872612707316875,
-0.07362237572669983,
-0.007135762367397547,
-0.04750965163111687,
-0.017235880717635155,
0.08524395525455475,
0.0355791412293911,
0.02420397847890854,
-0.01218829769641161,
-0.033568136394023895,
-0.0382787361741066,
0.010528755374252796,
-0.10671602189540863,
-0.06441117078065872,
0.040970444679260254,
-0.08595140278339386,
0.03332175314426422,
-0.07304523140192032,
-0.04495162516832352,
-0.04466541111469269,
-0.057881273329257965,
-0.10438185930252075,
-0.043945495039224625,
0.009028581902384758,
0.07434376329183578,
0.05169633775949478,
0.06276595592498779,
-0.008379422128200531,
0.04748021438717842,
0.12310376018285751,
0.016508150845766068,
0.045843470841646194,
-0.03896048292517662,
0.039421092718839645,
0.009526469744741917,
-0.003728620707988739,
0.11850977689027786,
-0.01560889184474945,
0.042946912348270416,
0.06141313537955284,
-0.05325684696435928,
0.03325986862182617,
-0.07067786902189255,
0.0326077863574028,
0.10579577833414078,
-0.06542042642831802,
-0.0324070081114769,
-0.0066054100170731544,
0.06356767565011978,
0.04717027768492699,
-0.04518577456474304,
-0.05434025451540947,
0.04190869256854057,
0.03155533969402313,
0.0077427527867257595,
-0.042264051735401154,
0.0744628980755806,
-0.03136223554611206,
0.024738077074289322,
0.05191658064723015,
-0.03613400459289551,
0.11203590035438538,
0.03628801926970482,
-0.09216263890266418,
-0.021762240678071976,
0.03198818117380142,
0.017089100554585457,
0.009509949944913387,
-0.03702482953667641,
-0.08050166815519333,
-0.02775408886373043,
-0.0004971566959284246,
0.038510508835315704,
0.0017505710711702704,
-0.03622571751475334,
0.006694333627820015,
0.0393093004822731,
-0.013758047483861446,
0.030226420611143112,
-0.030371418222784996,
0.005003310274332762,
0.07149332761764526,
0.10201437026262283,
0.013205727562308311,
0.04326619207859039,
-0.05906450375914574,
-0.060536447912454605,
4.757530531625042e-33,
-0.01476900465786457,
0.1153867244720459,
0.04149108752608299,
-0.062412407249212265,
0.051622092723846436,
0.012091925367712975,
0.02587476186454296,
0.05399710685014725,
-0.032420564442873,
0.06865837424993515,
0.010143239982426167,
0.035059068351984024,
-0.00606242660433054,
0.003587032202631235,
0.0927218422293663,
0.00024447357282042503,
0.03159753978252411,
0.027960067614912987,
-0.06930281966924667,
-0.0367296002805233,
0.02045455574989319,
-0.05312684550881386,
-0.025797393172979355,
-0.031384315341711044,
0.0072337789461016655,
0.0025417653378099203,
0.06926236301660538,
-0.07266142219305038,
-0.04443371295928955,
-0.010943546891212463,
-0.07484856992959976,
-0.04729253053665161,
0.03230598196387291,
0.09043602645397186,
0.03881223499774933,
-0.05547391250729561,
-0.037185318768024445,
-0.06865023821592331,
-0.018268568441271782,
-0.0383320115506649,
-0.042852289974689484,
0.04149762541055679,
-0.02564154751598835,
0.06636454910039902,
-0.024050865322351456,
-0.09475511312484741,
-0.09270044416189194,
0.022460434585809708,
0.011445407755672932,
0.012330878525972366,
0.026188239455223083,
0.002316349186003208,
-0.017004406079649925,
-0.07342731952667236,
-0.04131513088941574,
-0.006681095343083143,
-0.007663332857191563,
0.022914944216609,
0.0040189423598349094,
0.07394500076770782,
0.011190119199454784,
-0.05936049297451973,
-0.045132189989089966,
0.03766176849603653,
0.006854490377008915,
0.07740622758865356,
-0.0919671282172203,
-0.054897576570510864,
0.16728736460208893,
0.021044766530394554,
-0.02108105644583702,
0.024799391627311707,
0.038571178913116455,
0.0019981625955551863,
0.0798167809844017,
0.018277660012245178,
0.08209596574306488,
-0.10835274308919907,
-0.023288531228899956,
-0.028764311224222183,
0.0017725605284795165,
0.09324699640274048,
-0.024199839681386948,
0.031205305829644203,
-0.06778737902641296,
-0.03990828990936279,
0.025125687941908836,
0.020176038146018982,
-0.026787132024765015,
-0.10925712436437607,
-0.07367859780788422,
-0.025515321642160416,
-0.015963517129421234,
-0.06250318884849548,
0.013973835855722427,
-4.693816533758566e-33,
-0.02739705890417099,
-0.002790353959426284,
0.03153449669480324,
0.06719044595956802,
-0.010098040103912354,
-0.10254213213920593,
0.04992120712995529,
-0.03786163032054901,
0.04918789863586426,
-0.047099437564611435,
-0.026522312313318253,
-0.03584735468029976,
0.08291894197463989,
-0.05806007236242294,
-0.027323497459292412,
0.1418255865573883,
-0.06064958497881889,
-0.020880237221717834,
-0.016073452308773994,
0.0984274372458458,
0.0375092439353466,
0.15819266438484192,
-0.050564371049404144,
-0.01284562423825264,
-0.003091817256063223,
0.03288095071911812,
-0.06886722147464752,
0.04884503036737442,
0.027487745508551598,
0.03336388245224953,
-0.02912379428744316,
0.0421455055475235,
-0.1263447105884552,
-0.06830406188964844,
0.01020931825041771,
0.008306680247187614,
0.06165793910622597,
0.04835595190525055,
-0.0621124804019928,
0.03420700132846832,
0.09184320271015167,
-0.004733066074550152,
0.0027340217493474483,
0.011984437704086304,
0.048284463584423065,
0.01794382929801941,
-0.05920352414250374,
-0.001878913608379662,
0.04899105057120323,
-0.04621213674545288,
-0.060024723410606384,
-0.05976001173257828,
0.012989571318030357,
0.10009539872407913,
-0.009342903271317482,
-0.024289526045322418,
-0.030262215062975883,
0.004421476274728775,
0.1250634491443634,
-0.025976087898015976,
-0.02224327065050602,
-0.015151670202612877,
0.008449025452136993,
0.058575186878442764,
-0.016838200390338898,
-0.08379724621772766,
-0.020166534930467606,
-0.0276136826723814,
-0.023044902831315994,
0.06827577948570251,
-0.036321789026260376,
-0.02507065050303936,
0.0133644575253129,
-0.04852502420544624,
0.00965249165892601,
0.04595421999692917,
-0.0457090325653553,
0.04097908362746239,
-0.0539383627474308,
0.04403978958725929,
0.025278817862272263,
0.00218681781552732,
-0.005174221470952034,
-0.03825703263282776,
-0.0025689988397061825,
0.06871063262224197,
0.08946499228477478,
-0.0166368018835783,
-0.00369732896797359,
0.0115074897184968,
-0.06666985899209976,
0.08845414966344833,
0.012147230096161366,
0.03445209190249443,
-0.07295253872871399,
-4.474405201904119e-8,
0.00416105892509222,
-0.04742277041077614,
-0.08194411545991898,
-0.005949211772531271,
0.07287440448999405,
-0.0597248375415802,
-0.10904425382614136,
0.014515968970954418,
-0.04315093159675598,
-0.033882081508636475,
0.019977543503046036,
0.0004247336182743311,
0.04647998511791229,
0.013421150855720043,
-0.021916639059782028,
0.07898559421300888,
0.004879174288362265,
-0.008380090817809105,
-0.04344131797552109,
-0.010547126643359661,
-0.037761054933071136,
0.021783705800771713,
-0.052084553986787796,
0.00578433508053422,
0.02208457700908184,
-0.054629452526569366,
0.021501850336790085,
-0.012371942400932312,
0.01780502311885357,
0.041066329926252365,
-0.01209946721792221,
0.059982653707265854,
0.1279081404209137,
0.044210996478796005,
0.051276758313179016,
0.1033368781208992,
0.04512687772512436,
0.0073340111412107944,
-0.10294650495052338,
-0.029475998133420944,
0.014316633343696594,
0.024028411135077477,
-0.11115340143442154,
0.02886361815035343,
0.05073985084891319,
-0.08637868613004684,
0.012995698489248753,
-0.0020057340152561665,
-0.05033757537603378,
-0.05827736854553223,
-0.0015112506225705147,
0.012839999981224537,
-0.0232237596064806,
-0.03532188758254051,
0.0011107849422842264,
0.0778183564543724,
0.013021323829889297,
-0.03603510186076164,
0.013976546004414558,
-0.02402193285524845,
0.023667052388191223,
0.02044958807528019,
0.06782744824886322,
-0.04959353059530258
] | null | null | null | null | null | null | null |
[
-0.005026230122894049,
0.043154194951057434,
0.03146033734083176,
0.009523305110633373,
0.043918803334236145,
-0.02342468872666359,
0.0047791195102036,
0.05821506679058075,
-0.01606276072561741,
0.07493538409471512,
-0.05924367532134056,
-0.040927592664957047,
0.04606509208679199,
0.03894350305199623,
0.021830230951309204,
0.0537557452917099,
-0.02175721898674965,
0.03512193262577057,
-0.020140450447797775,
-0.04851005598902702,
-0.03196073696017265,
0.013395250774919987,
-0.12917546927928925,
0.04820455610752106,
-0.037889983505010605,
-0.061808228492736816,
-0.003279000287875533,
-0.035976722836494446,
0.013174965046346188,
0.016456978395581245,
-0.03710342198610306,
0.013619422912597656,
0.0652165487408638,
0.018669620156288147,
-0.05919730290770531,
0.0729028731584549,
-0.023008715361356735,
-0.0076798065565526485,
-0.005335324909538031,
-0.01654549315571785,
0.010872612707316875,
-0.07362237572669983,
-0.007135762367397547,
-0.04750965163111687,
-0.017235880717635155,
0.08524395525455475,
0.0355791412293911,
0.02420397847890854,
-0.01218829769641161,
-0.033568136394023895,
-0.0382787361741066,
0.010528755374252796,
-0.10671602189540863,
-0.06441117078065872,
0.040970444679260254,
-0.08595140278339386,
0.03332175314426422,
-0.07304523140192032,
-0.04495162516832352,
-0.04466541111469269,
-0.057881273329257965,
-0.10438185930252075,
-0.043945495039224625,
0.009028581902384758,
0.07434376329183578,
0.05169633775949478,
0.06276595592498779,
-0.008379422128200531,
0.04748021438717842,
0.12310376018285751,
0.016508150845766068,
0.045843470841646194,
-0.03896048292517662,
0.039421092718839645,
0.009526469744741917,
-0.003728620707988739,
0.11850977689027786,
-0.01560889184474945,
0.042946912348270416,
0.06141313537955284,
-0.05325684696435928,
0.03325986862182617,
-0.07067786902189255,
0.0326077863574028,
0.10579577833414078,
-0.06542042642831802,
-0.0324070081114769,
-0.0066054100170731544,
0.06356767565011978,
0.04717027768492699,
-0.04518577456474304,
-0.05434025451540947,
0.04190869256854057,
0.03155533969402313,
0.0077427527867257595,
-0.042264051735401154,
0.0744628980755806,
-0.03136223554611206,
0.024738077074289322,
0.05191658064723015,
-0.03613400459289551,
0.11203590035438538,
0.03628801926970482,
-0.09216263890266418,
-0.021762240678071976,
0.03198818117380142,
0.017089100554585457,
0.009509949944913387,
-0.03702482953667641,
-0.08050166815519333,
-0.02775408886373043,
-0.0004971566959284246,
0.038510508835315704,
0.0017505710711702704,
-0.03622571751475334,
0.006694333627820015,
0.0393093004822731,
-0.013758047483861446,
0.030226420611143112,
-0.030371418222784996,
0.005003310274332762,
0.07149332761764526,
0.10201437026262283,
0.013205727562308311,
0.04326619207859039,
-0.05906450375914574,
-0.060536447912454605,
4.757530531625042e-33,
-0.01476900465786457,
0.1153867244720459,
0.04149108752608299,
-0.062412407249212265,
0.051622092723846436,
0.012091925367712975,
0.02587476186454296,
0.05399710685014725,
-0.032420564442873,
0.06865837424993515,
0.010143239982426167,
0.035059068351984024,
-0.00606242660433054,
0.003587032202631235,
0.0927218422293663,
0.00024447357282042503,
0.03159753978252411,
0.027960067614912987,
-0.06930281966924667,
-0.0367296002805233,
0.02045455574989319,
-0.05312684550881386,
-0.025797393172979355,
-0.031384315341711044,
0.0072337789461016655,
0.0025417653378099203,
0.06926236301660538,
-0.07266142219305038,
-0.04443371295928955,
-0.010943546891212463,
-0.07484856992959976,
-0.04729253053665161,
0.03230598196387291,
0.09043602645397186,
0.03881223499774933,
-0.05547391250729561,
-0.037185318768024445,
-0.06865023821592331,
-0.018268568441271782,
-0.0383320115506649,
-0.042852289974689484,
0.04149762541055679,
-0.02564154751598835,
0.06636454910039902,
-0.024050865322351456,
-0.09475511312484741,
-0.09270044416189194,
0.022460434585809708,
0.011445407755672932,
0.012330878525972366,
0.026188239455223083,
0.002316349186003208,
-0.017004406079649925,
-0.07342731952667236,
-0.04131513088941574,
-0.006681095343083143,
-0.007663332857191563,
0.022914944216609,
0.0040189423598349094,
0.07394500076770782,
0.011190119199454784,
-0.05936049297451973,
-0.045132189989089966,
0.03766176849603653,
0.006854490377008915,
0.07740622758865356,
-0.0919671282172203,
-0.054897576570510864,
0.16728736460208893,
0.021044766530394554,
-0.02108105644583702,
0.024799391627311707,
0.038571178913116455,
0.0019981625955551863,
0.0798167809844017,
0.018277660012245178,
0.08209596574306488,
-0.10835274308919907,
-0.023288531228899956,
-0.028764311224222183,
0.0017725605284795165,
0.09324699640274048,
-0.024199839681386948,
0.031205305829644203,
-0.06778737902641296,
-0.03990828990936279,
0.025125687941908836,
0.020176038146018982,
-0.026787132024765015,
-0.10925712436437607,
-0.07367859780788422,
-0.025515321642160416,
-0.015963517129421234,
-0.06250318884849548,
0.013973835855722427,
-4.693816533758566e-33,
-0.02739705890417099,
-0.002790353959426284,
0.03153449669480324,
0.06719044595956802,
-0.010098040103912354,
-0.10254213213920593,
0.04992120712995529,
-0.03786163032054901,
0.04918789863586426,
-0.047099437564611435,
-0.026522312313318253,
-0.03584735468029976,
0.08291894197463989,
-0.05806007236242294,
-0.027323497459292412,
0.1418255865573883,
-0.06064958497881889,
-0.020880237221717834,
-0.016073452308773994,
0.0984274372458458,
0.0375092439353466,
0.15819266438484192,
-0.050564371049404144,
-0.01284562423825264,
-0.003091817256063223,
0.03288095071911812,
-0.06886722147464752,
0.04884503036737442,
0.027487745508551598,
0.03336388245224953,
-0.02912379428744316,
0.0421455055475235,
-0.1263447105884552,
-0.06830406188964844,
0.01020931825041771,
0.008306680247187614,
0.06165793910622597,
0.04835595190525055,
-0.0621124804019928,
0.03420700132846832,
0.09184320271015167,
-0.004733066074550152,
0.0027340217493474483,
0.011984437704086304,
0.048284463584423065,
0.01794382929801941,
-0.05920352414250374,
-0.001878913608379662,
0.04899105057120323,
-0.04621213674545288,
-0.060024723410606384,
-0.05976001173257828,
0.012989571318030357,
0.10009539872407913,
-0.009342903271317482,
-0.024289526045322418,
-0.030262215062975883,
0.004421476274728775,
0.1250634491443634,
-0.025976087898015976,
-0.02224327065050602,
-0.015151670202612877,
0.008449025452136993,
0.058575186878442764,
-0.016838200390338898,
-0.08379724621772766,
-0.020166534930467606,
-0.0276136826723814,
-0.023044902831315994,
0.06827577948570251,
-0.036321789026260376,
-0.02507065050303936,
0.0133644575253129,
-0.04852502420544624,
0.00965249165892601,
0.04595421999692917,
-0.0457090325653553,
0.04097908362746239,
-0.0539383627474308,
0.04403978958725929,
0.025278817862272263,
0.00218681781552732,
-0.005174221470952034,
-0.03825703263282776,
-0.0025689988397061825,
0.06871063262224197,
0.08946499228477478,
-0.0166368018835783,
-0.00369732896797359,
0.0115074897184968,
-0.06666985899209976,
0.08845414966344833,
0.012147230096161366,
0.03445209190249443,
-0.07295253872871399,
-4.474405201904119e-8,
0.00416105892509222,
-0.04742277041077614,
-0.08194411545991898,
-0.005949211772531271,
0.07287440448999405,
-0.0597248375415802,
-0.10904425382614136,
0.014515968970954418,
-0.04315093159675598,
-0.033882081508636475,
0.019977543503046036,
0.0004247336182743311,
0.04647998511791229,
0.013421150855720043,
-0.021916639059782028,
0.07898559421300888,
0.004879174288362265,
-0.008380090817809105,
-0.04344131797552109,
-0.010547126643359661,
-0.037761054933071136,
0.021783705800771713,
-0.052084553986787796,
0.00578433508053422,
0.02208457700908184,
-0.054629452526569366,
0.021501850336790085,
-0.012371942400932312,
0.01780502311885357,
0.041066329926252365,
-0.01209946721792221,
0.059982653707265854,
0.1279081404209137,
0.044210996478796005,
0.051276758313179016,
0.1033368781208992,
0.04512687772512436,
0.0073340111412107944,
-0.10294650495052338,
-0.029475998133420944,
0.014316633343696594,
0.024028411135077477,
-0.11115340143442154,
0.02886361815035343,
0.05073985084891319,
-0.08637868613004684,
0.012995698489248753,
-0.0020057340152561665,
-0.05033757537603378,
-0.05827736854553223,
-0.0015112506225705147,
0.012839999981224537,
-0.0232237596064806,
-0.03532188758254051,
0.0011107849422842264,
0.0778183564543724,
0.013021323829889297,
-0.03603510186076164,
0.013976546004414558,
-0.02402193285524845,
0.023667052388191223,
0.02044958807528019,
0.06782744824886322,
-0.04959353059530258
] |
1402.3015
|
N. Raj Rao
|
Curtis Jin and Raj Rao Nadakuditi and Eric Michielssen and Stephen
Rand
|
Backscatter analysis based algorithms for increasing transmission
through highly-scattering random media using phase-only modulated wavefronts
|
Revised version contains results of additional simulations
| null |
10.1364/JOSAA.31.001788
| null |
physics.optics cond-mat.dis-nn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent theoretical and experimental advances have shed light on the existence
of so-called `perfectly transmitting' wavefronts with transmission coefficients
close to 1 in strongly backscattering random media. These perfectly
transmitting eigen-wavefronts can be synthesized by spatial amplitude and phase
modulation. Here, we consider the problem of transmission enhancement using
phase-only modulated wavefronts. We develop physically realizable iterative and
non-iterative algorithms for increasing the transmission through such random
media using backscatter analysis. We theoretically show that, despite the
phase-only modulation constraint, the non-iterative algorithms will achieve at
least about 25$\pi$% or about 78.5% transmission assuming there is at least one
perfectly transmitting eigen-wavefront and that the singular vectors of the
transmission matrix obey a maximum entropy principle so that they are
isotropically random.
We numerically analyze the limits of phase-only modulated transmission in 2-D
with fully spectrally accurate simulators and provide rigorous numerical
evidence confirming our theoretical prediction in random media with periodic
boundary conditions that is composed of hundreds of thousands of non-absorbing
scatterers. We show via numerical simulations that the iterative algorithms we
have developed converge rapidly, yielding highly transmitting wavefronts using
relatively few measurements of the backscatter field. Specifically, the best
performing iterative algorithm yields approx 70% transmission using just 15-20
measurements in the regime where the non-iterative algorithms yield
approximately 78.5% transmission but require measuring the entire modal
reflection matrix.
|
[
{
"created": "Thu, 13 Feb 2014 00:48:03 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jun 2014 13:37:39 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Jin",
"Curtis",
""
],
[
"Nadakuditi",
"Raj Rao",
""
],
[
"Michielssen",
"Eric",
""
],
[
"Rand",
"Stephen",
""
]
] |
[
0.03010396473109722,
-0.02715905010700226,
-0.00006370769551722333,
0.0031001886818557978,
0.048940371721982956,
-0.05376289039850235,
0.0038856156170368195,
-0.12301609665155411,
-0.026206357404589653,
0.049553245306015015,
-0.032389890402555466,
0.05445857346057892,
0.054688241332769394,
-0.053819555789232254,
0.0283995158970356,
-0.08701032400131226,
0.10168135166168213,
-0.025063659995794296,
0.004319494124501944,
0.04776578024029732,
0.03359944000840187,
-0.007106470875442028,
-0.011153144761919975,
-0.030544841662049294,
0.10657085478305817,
-0.07429559528827667,
0.07038544863462448,
-0.06459379196166992,
0.019466189667582512,
0.006501616910099983,
-0.032269056886434555,
0.04207787662744522,
-0.02063729427754879,
-0.03906332701444626,
-0.03917057439684868,
0.0051690214313566685,
0.06677756458520889,
0.013502540998160839,
0.02415967732667923,
0.09649474918842316,
0.007705636788159609,
0.0161459781229496,
-0.07538186758756638,
0.08651357144117355,
-0.09413183480501175,
-0.052327096462249756,
0.11388600617647171,
-0.06851296871900558,
-0.004699474200606346,
-0.0889286920428276,
0.033223893493413925,
0.07802522927522659,
-0.01916477084159851,
0.033411260694265366,
-0.01763240061700344,
-0.019814617931842804,
0.011960936710238457,
0.032118599861860275,
-0.023296765983104706,
0.022432459518313408,
0.02200952172279358,
-0.01834264025092125,
-0.03669765964150429,
-0.047277819365262985,
0.05392364040017128,
-0.055011358112096786,
0.000506458745803684,
0.07319536060094833,
-0.013908244669437408,
0.07204868644475937,
-0.03968451917171478,
-0.013589955866336823,
0.016719700768589973,
0.03505697846412659,
0.10647006332874298,
0.030861452221870422,
-0.014672567136585712,
0.03693138808012009,
-0.03531387448310852,
0.0641537606716156,
-0.0009983225027099252,
-0.09071081876754761,
0.03785858675837517,
0.01158300694078207,
-0.04749501124024391,
-0.01796511746942997,
-0.07632480561733246,
0.04596502706408501,
0.033578693866729736,
-0.03383251652121544,
-0.11137691885232925,
-0.025116564705967903,
-0.025881614536046982,
0.014146780595183372,
-0.002678937977179885,
-0.03637363016605377,
-0.00013325725740287453,
-0.08021112531423569,
0.10274390876293182,
0.02464120090007782,
0.06445151567459106,
-0.07275780290365219,
0.0018463816959410906,
-0.016973501071333885,
0.011570549570024014,
-0.006840669084340334,
0.05423895642161369,
0.06742594391107559,
-0.030230214819312096,
-0.010556810535490513,
0.05617658421397209,
0.08778194338083267,
0.03491918742656708,
-0.015053259208798409,
0.0034459540620446205,
-0.016685372218489647,
-0.033522482961416245,
0.03303718939423561,
0.016209181398153305,
-0.04628874361515045,
0.007592644542455673,
-0.04561489447951317,
0.05252217501401901,
0.0775686725974083,
0.014403797686100006,
-0.060368362814188004,
-0.02914680540561676,
-4.489862661925634e-34,
-0.011674339883029461,
0.12644612789154053,
-0.002383725717663765,
0.020370274782180786,
-0.01574292965233326,
0.0706077590584755,
0.09052924066781998,
0.0014567389152944088,
0.04392071068286896,
0.06948107481002808,
-0.025066234171390533,
0.07131078094244003,
-0.01381199061870575,
0.05901968106627464,
0.05301306024193764,
-0.04468604177236557,
0.010844381526112556,
-0.037447892129421234,
0.0028645056299865246,
-0.0023084753192961216,
0.09537389874458313,
-0.012305614538490772,
-0.058432914316654205,
-0.11135128885507584,
-0.039088353514671326,
-0.005535629112273455,
0.012047847732901573,
-0.0960233211517334,
0.013421139679849148,
0.05091340094804764,
-0.05501198396086693,
0.10289520770311356,
0.022295307368040085,
0.011356509290635586,
0.0027065665926784277,
-0.022866223007440567,
0.020918821915984154,
0.004227513913065195,
-0.06602464616298676,
-0.011699230410158634,
-0.00019993967725895345,
0.02138134464621544,
-0.013170222751796246,
0.005712065380066633,
0.004793491680175066,
-0.061650101095438004,
0.03113183006644249,
0.004597121849656105,
-0.08702769875526428,
-0.009852731600403786,
0.044911373406648636,
-0.06550969928503036,
-0.03468836843967438,
0.028328893706202507,
0.006128993816673756,
0.03255929425358772,
0.03450906276702881,
-0.08287876844406128,
0.022586585953831673,
0.05768559128046036,
0.0016516279429197311,
-0.06347578018903732,
0.022078827023506165,
-0.03035460039973259,
0.006923457607626915,
0.018717987462878227,
-0.006574749946594238,
-0.04465542361140251,
0.02833242155611515,
-0.03567086160182953,
0.03661472722887993,
0.03331407904624939,
0.03623967245221138,
-0.09191668033599854,
0.04540444537997246,
-0.04571590572595596,
0.05375637859106064,
0.04496113955974579,
-0.006923186592757702,
0.0679483637213707,
-0.09231629222631454,
0.023133760318160057,
-0.05848066881299019,
-0.07897347211837769,
0.00936489924788475,
0.06648034602403641,
-0.033898308873176575,
-0.07490048557519913,
-0.15952685475349426,
-0.03576851636171341,
-0.030054505914449692,
-0.03851032629609108,
0.08421240001916885,
0.009316014125943184,
-0.06670470535755157,
-2.4826888846587963e-33,
-0.0646393895149231,
0.03750200569629669,
-0.043997395783662796,
0.016887830570340157,
-0.0316067710518837,
-0.041589170694351196,
0.04943011328577995,
0.035989511758089066,
-0.013415358029305935,
-0.03422927111387253,
0.012563626281917095,
-0.010687190108001232,
-0.007229916285723448,
0.05101499706506729,
-0.01828170008957386,
0.0015353820053860545,
0.06214706972241402,
0.03797755762934685,
-0.01121497992426157,
-0.07468993216753006,
-0.007566003128886223,
-0.02681172825396061,
0.039326317608356476,
0.05765163525938988,
0.07454584538936615,
-0.020123282447457314,
-0.007954347878694534,
0.09887515008449554,
-0.01741563342511654,
-0.013411648571491241,
-0.05158470198512077,
-0.00510969664901495,
0.0726933479309082,
0.02352149225771427,
-0.04918904975056648,
0.10669612884521484,
0.012084652669727802,
-0.00016099237836897373,
-0.0006797717069275677,
0.013303917832672596,
0.01591014303267002,
-0.03770970553159714,
0.011623768135905266,
0.031198367476463318,
0.011012815870344639,
-0.09506390243768692,
-0.07425688952207565,
0.0340503491461277,
0.045847076922655106,
0.03697492554783821,
0.08614936470985413,
-0.0233489740639925,
-0.019609306007623672,
0.020533492788672447,
0.03583575040102005,
-0.006879555992782116,
-0.042784228920936584,
0.06321743875741959,
0.0885804072022438,
0.06637716293334961,
-0.054463572800159454,
-0.02713053673505783,
-0.06624581664800644,
-0.05100668966770172,
0.019761670380830765,
-0.07235821336507797,
0.015093773603439331,
-0.04114370793104172,
0.02454703487455845,
0.031983908265829086,
-0.03247387334704399,
0.014754662290215492,
0.00876323040574789,
0.016827618703246117,
0.06274737417697906,
0.013594169169664383,
0.006738971918821335,
-0.033619292080402374,
-0.07073735445737839,
1.2617140043857944e-7,
-0.0928678885102272,
0.02705962397158146,
-0.045874565839767456,
0.010091448202729225,
0.06111563742160797,
-0.010486786253750324,
-0.003940959926694632,
-0.04123566672205925,
0.007615416776388884,
-0.046415481716394424,
0.023926151916384697,
0.04349939525127411,
0.07344821095466614,
-0.03293367475271225,
0.09591533988714218,
-4.492976657388681e-8,
-0.00998312421143055,
-0.03981415554881096,
-0.015532349236309528,
-0.1172875240445137,
0.058445319533348083,
-0.0005016453214921057,
-0.049478236585855484,
-0.08491005003452301,
0.018279505893588066,
-0.19145558774471283,
0.02869994379580021,
-0.05185166746377945,
-0.02017040364444256,
-0.01702113263309002,
-0.021488497033715248,
0.0036396351642906666,
-0.014491572044789791,
-0.06332539767026901,
0.011730275116860867,
0.009751261211931705,
-0.08384211361408234,
0.015374822542071342,
-0.015604422427713871,
-0.044499218463897705,
0.01718512363731861,
0.004102037753909826,
-0.021161017939448357,
-0.05234089866280556,
0.07106124609708786,
-0.023503821343183517,
-0.05925147980451584,
-0.08033923804759979,
-0.023792093619704247,
0.11351562291383743,
-0.15438470244407654,
0.007617538794875145,
0.05340277776122093,
-0.03410623222589493,
-0.08681129664182663,
-0.04781758040189743,
0.05370447412133217,
-0.0027031514327973127,
0.05373593047261238,
0.006084323860704899,
0.029104894027113914,
0.10304851830005646,
0.03512561321258545,
0.06142828240990639,
-0.00684497132897377,
-0.01768513023853302,
-0.05552249774336815,
0.05103807523846626,
0.04224381223320961,
-0.03583533316850662,
0.02854209765791893,
-0.03585159406065941,
-0.03640388697385788,
-0.013689291663467884,
0.06462886184453964,
0.07752466201782227,
0.04901851341128349,
0.09185747057199478,
-0.1562078595161438,
-0.007017356343567371
] | null | null | null | null | null | null | null |
[
0.03010396473109722,
-0.02715905010700226,
-0.00006370769551722333,
0.0031001886818557978,
0.048940371721982956,
-0.05376289039850235,
0.0038856156170368195,
-0.12301609665155411,
-0.026206357404589653,
0.049553245306015015,
-0.032389890402555466,
0.05445857346057892,
0.054688241332769394,
-0.053819555789232254,
0.0283995158970356,
-0.08701032400131226,
0.10168135166168213,
-0.025063659995794296,
0.004319494124501944,
0.04776578024029732,
0.03359944000840187,
-0.007106470875442028,
-0.011153144761919975,
-0.030544841662049294,
0.10657085478305817,
-0.07429559528827667,
0.07038544863462448,
-0.06459379196166992,
0.019466189667582512,
0.006501616910099983,
-0.032269056886434555,
0.04207787662744522,
-0.02063729427754879,
-0.03906332701444626,
-0.03917057439684868,
0.0051690214313566685,
0.06677756458520889,
0.013502540998160839,
0.02415967732667923,
0.09649474918842316,
0.007705636788159609,
0.0161459781229496,
-0.07538186758756638,
0.08651357144117355,
-0.09413183480501175,
-0.052327096462249756,
0.11388600617647171,
-0.06851296871900558,
-0.004699474200606346,
-0.0889286920428276,
0.033223893493413925,
0.07802522927522659,
-0.01916477084159851,
0.033411260694265366,
-0.01763240061700344,
-0.019814617931842804,
0.011960936710238457,
0.032118599861860275,
-0.023296765983104706,
0.022432459518313408,
0.02200952172279358,
-0.01834264025092125,
-0.03669765964150429,
-0.047277819365262985,
0.05392364040017128,
-0.055011358112096786,
0.000506458745803684,
0.07319536060094833,
-0.013908244669437408,
0.07204868644475937,
-0.03968451917171478,
-0.013589955866336823,
0.016719700768589973,
0.03505697846412659,
0.10647006332874298,
0.030861452221870422,
-0.014672567136585712,
0.03693138808012009,
-0.03531387448310852,
0.0641537606716156,
-0.0009983225027099252,
-0.09071081876754761,
0.03785858675837517,
0.01158300694078207,
-0.04749501124024391,
-0.01796511746942997,
-0.07632480561733246,
0.04596502706408501,
0.033578693866729736,
-0.03383251652121544,
-0.11137691885232925,
-0.025116564705967903,
-0.025881614536046982,
0.014146780595183372,
-0.002678937977179885,
-0.03637363016605377,
-0.00013325725740287453,
-0.08021112531423569,
0.10274390876293182,
0.02464120090007782,
0.06445151567459106,
-0.07275780290365219,
0.0018463816959410906,
-0.016973501071333885,
0.011570549570024014,
-0.006840669084340334,
0.05423895642161369,
0.06742594391107559,
-0.030230214819312096,
-0.010556810535490513,
0.05617658421397209,
0.08778194338083267,
0.03491918742656708,
-0.015053259208798409,
0.0034459540620446205,
-0.016685372218489647,
-0.033522482961416245,
0.03303718939423561,
0.016209181398153305,
-0.04628874361515045,
0.007592644542455673,
-0.04561489447951317,
0.05252217501401901,
0.0775686725974083,
0.014403797686100006,
-0.060368362814188004,
-0.02914680540561676,
-4.489862661925634e-34,
-0.011674339883029461,
0.12644612789154053,
-0.002383725717663765,
0.020370274782180786,
-0.01574292965233326,
0.0706077590584755,
0.09052924066781998,
0.0014567389152944088,
0.04392071068286896,
0.06948107481002808,
-0.025066234171390533,
0.07131078094244003,
-0.01381199061870575,
0.05901968106627464,
0.05301306024193764,
-0.04468604177236557,
0.010844381526112556,
-0.037447892129421234,
0.0028645056299865246,
-0.0023084753192961216,
0.09537389874458313,
-0.012305614538490772,
-0.058432914316654205,
-0.11135128885507584,
-0.039088353514671326,
-0.005535629112273455,
0.012047847732901573,
-0.0960233211517334,
0.013421139679849148,
0.05091340094804764,
-0.05501198396086693,
0.10289520770311356,
0.022295307368040085,
0.011356509290635586,
0.0027065665926784277,
-0.022866223007440567,
0.020918821915984154,
0.004227513913065195,
-0.06602464616298676,
-0.011699230410158634,
-0.00019993967725895345,
0.02138134464621544,
-0.013170222751796246,
0.005712065380066633,
0.004793491680175066,
-0.061650101095438004,
0.03113183006644249,
0.004597121849656105,
-0.08702769875526428,
-0.009852731600403786,
0.044911373406648636,
-0.06550969928503036,
-0.03468836843967438,
0.028328893706202507,
0.006128993816673756,
0.03255929425358772,
0.03450906276702881,
-0.08287876844406128,
0.022586585953831673,
0.05768559128046036,
0.0016516279429197311,
-0.06347578018903732,
0.022078827023506165,
-0.03035460039973259,
0.006923457607626915,
0.018717987462878227,
-0.006574749946594238,
-0.04465542361140251,
0.02833242155611515,
-0.03567086160182953,
0.03661472722887993,
0.03331407904624939,
0.03623967245221138,
-0.09191668033599854,
0.04540444537997246,
-0.04571590572595596,
0.05375637859106064,
0.04496113955974579,
-0.006923186592757702,
0.0679483637213707,
-0.09231629222631454,
0.023133760318160057,
-0.05848066881299019,
-0.07897347211837769,
0.00936489924788475,
0.06648034602403641,
-0.033898308873176575,
-0.07490048557519913,
-0.15952685475349426,
-0.03576851636171341,
-0.030054505914449692,
-0.03851032629609108,
0.08421240001916885,
0.009316014125943184,
-0.06670470535755157,
-2.4826888846587963e-33,
-0.0646393895149231,
0.03750200569629669,
-0.043997395783662796,
0.016887830570340157,
-0.0316067710518837,
-0.041589170694351196,
0.04943011328577995,
0.035989511758089066,
-0.013415358029305935,
-0.03422927111387253,
0.012563626281917095,
-0.010687190108001232,
-0.007229916285723448,
0.05101499706506729,
-0.01828170008957386,
0.0015353820053860545,
0.06214706972241402,
0.03797755762934685,
-0.01121497992426157,
-0.07468993216753006,
-0.007566003128886223,
-0.02681172825396061,
0.039326317608356476,
0.05765163525938988,
0.07454584538936615,
-0.020123282447457314,
-0.007954347878694534,
0.09887515008449554,
-0.01741563342511654,
-0.013411648571491241,
-0.05158470198512077,
-0.00510969664901495,
0.0726933479309082,
0.02352149225771427,
-0.04918904975056648,
0.10669612884521484,
0.012084652669727802,
-0.00016099237836897373,
-0.0006797717069275677,
0.013303917832672596,
0.01591014303267002,
-0.03770970553159714,
0.011623768135905266,
0.031198367476463318,
0.011012815870344639,
-0.09506390243768692,
-0.07425688952207565,
0.0340503491461277,
0.045847076922655106,
0.03697492554783821,
0.08614936470985413,
-0.0233489740639925,
-0.019609306007623672,
0.020533492788672447,
0.03583575040102005,
-0.006879555992782116,
-0.042784228920936584,
0.06321743875741959,
0.0885804072022438,
0.06637716293334961,
-0.054463572800159454,
-0.02713053673505783,
-0.06624581664800644,
-0.05100668966770172,
0.019761670380830765,
-0.07235821336507797,
0.015093773603439331,
-0.04114370793104172,
0.02454703487455845,
0.031983908265829086,
-0.03247387334704399,
0.014754662290215492,
0.00876323040574789,
0.016827618703246117,
0.06274737417697906,
0.013594169169664383,
0.006738971918821335,
-0.033619292080402374,
-0.07073735445737839,
1.2617140043857944e-7,
-0.0928678885102272,
0.02705962397158146,
-0.045874565839767456,
0.010091448202729225,
0.06111563742160797,
-0.010486786253750324,
-0.003940959926694632,
-0.04123566672205925,
0.007615416776388884,
-0.046415481716394424,
0.023926151916384697,
0.04349939525127411,
0.07344821095466614,
-0.03293367475271225,
0.09591533988714218,
-4.492976657388681e-8,
-0.00998312421143055,
-0.03981415554881096,
-0.015532349236309528,
-0.1172875240445137,
0.058445319533348083,
-0.0005016453214921057,
-0.049478236585855484,
-0.08491005003452301,
0.018279505893588066,
-0.19145558774471283,
0.02869994379580021,
-0.05185166746377945,
-0.02017040364444256,
-0.01702113263309002,
-0.021488497033715248,
0.0036396351642906666,
-0.014491572044789791,
-0.06332539767026901,
0.011730275116860867,
0.009751261211931705,
-0.08384211361408234,
0.015374822542071342,
-0.015604422427713871,
-0.044499218463897705,
0.01718512363731861,
0.004102037753909826,
-0.021161017939448357,
-0.05234089866280556,
0.07106124609708786,
-0.023503821343183517,
-0.05925147980451584,
-0.08033923804759979,
-0.023792093619704247,
0.11351562291383743,
-0.15438470244407654,
0.007617538794875145,
0.05340277776122093,
-0.03410623222589493,
-0.08681129664182663,
-0.04781758040189743,
0.05370447412133217,
-0.0027031514327973127,
0.05373593047261238,
0.006084323860704899,
0.029104894027113914,
0.10304851830005646,
0.03512561321258545,
0.06142828240990639,
-0.00684497132897377,
-0.01768513023853302,
-0.05552249774336815,
0.05103807523846626,
0.04224381223320961,
-0.03583533316850662,
0.02854209765791893,
-0.03585159406065941,
-0.03640388697385788,
-0.013689291663467884,
0.06462886184453964,
0.07752466201782227,
0.04901851341128349,
0.09185747057199478,
-0.1562078595161438,
-0.007017356343567371
] |
1402.3017
|
Yiqi Zhang
|
Yiqi Zhang, Milivoj R. Beli\'c, Huaibin Zheng, Haixia Chen, Changbiao
Li, Jianping Song, and Yanpeng Zhang
|
The Nonlinear Talbot Effect of Rogue Waves
|
4 pages, 4 figures
|
Phys. Rev. E, 89, 032902 (2014)
|
10.1103/PhysRevE.89.032902
| null |
nlin.PS physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Akhmediev and Kuznetsov-Ma breathers are rogue wave solutions of the
nonlinear Schr\"odinger equation (NLSE). Talbot effect (TE) is an image
recurrence phenomenon in the diffraction of light waves. We report the
nonlinear TE of rogue waves in a cubic medium. It is different from the linear
TE, in that the wave propagates in a NL medium and is an eigenmode of NLSE.
Periodic rogue waves impinging on a NL medium exhibit recurrent behavior, but
only at the TE length and at the half-TE length with a \pi-phase shift; the
fractional TE is absent. The NL TE is the result of the NL interference of the
lobes of rogue wave breathers. This interaction is related to the transverse
period and intensity of breathers, in that the bigger the period and the higher
the intensity, the shorter the TE length.
|
[
{
"created": "Thu, 13 Feb 2014 01:43:22 GMT",
"version": "v1"
}
] |
2014-03-11
|
[
[
"Zhang",
"Yiqi",
""
],
[
"Belić",
"Milivoj R.",
""
],
[
"Zheng",
"Huaibin",
""
],
[
"Chen",
"Haixia",
""
],
[
"Li",
"Changbiao",
""
],
[
"Song",
"Jianping",
""
],
[
"Zhang",
"Yanpeng",
""
]
] |
[
-0.1390976905822754,
0.028254596516489983,
0.027156883850693703,
0.029071185737848282,
-0.001873582019470632,
0.002069558249786496,
-0.00007965353142935783,
-0.06283055990934372,
0.0005885864375159144,
0.018314458429813385,
0.08462133258581161,
-0.03273014724254608,
-0.034526556730270386,
-0.06249319389462471,
0.06406789273023605,
0.02615918591618538,
-0.10092784464359283,
-0.05458748713135719,
-0.019349725916981697,
0.060769740492105484,
0.04896732047200203,
-0.014393411576747894,
-0.04485013708472252,
-0.09127981215715408,
0.0832860916852951,
-0.006348709110170603,
0.03204656019806862,
-0.04115413874387741,
0.08593165129423141,
0.04396706819534302,
0.09399957954883575,
0.023640060797333717,
-0.026026584208011627,
0.0518651083111763,
-0.018418602645397186,
-0.0044099693186581135,
0.013073395006358624,
0.03449349105358124,
-0.028037279844284058,
0.023056635633111,
-0.0244097001850605,
0.13891562819480896,
-0.1291789561510086,
0.034204594790935516,
-0.0008481349796056747,
-0.005600083153694868,
-0.010404412634670734,
-0.020241333171725273,
-0.0537356361746788,
-0.008555829524993896,
-0.02940753474831581,
-0.0019427313236519694,
-0.04106311500072479,
0.10581380873918533,
0.029539141803979874,
0.009876980446279049,
-0.04208189621567726,
0.061301130801439285,
0.06434644013643265,
-0.06884053349494934,
0.02769595757126808,
0.0549430251121521,
-0.028746729716658592,
-0.018961340188980103,
0.026668256148695946,
0.02024305984377861,
-0.040002189576625824,
0.0280450526624918,
-0.016226347535848618,
-0.010964566841721535,
0.016084112226963043,
-0.0062063611112535,
0.020160172134637833,
-0.015280522406101227,
0.02405134215950966,
-0.029004590585827827,
-0.0390600711107254,
-0.05324368551373482,
-0.04043813422322273,
0.12259519845247269,
-0.060483142733573914,
-0.05464618280529976,
-0.0415462963283062,
0.016049768775701523,
-0.0005595408729277551,
0.025160791352391243,
0.004169119987636805,
-0.0957895964384079,
-0.026174644008278847,
-0.004027649760246277,
-0.032116759568452835,
-0.109145388007164,
0.029179051518440247,
-0.04813419282436371,
0.046308062970638275,
-0.014441994950175285,
0.10070598125457764,
0.03306734561920166,
0.11407168209552765,
0.025966210290789604,
0.043186984956264496,
-0.12605321407318115,
-0.02970755472779274,
0.058256667107343674,
-0.07379557192325592,
-0.005808551795780659,
0.03397435322403908,
0.06560558825731277,
-0.06259064376354218,
0.08283918350934982,
0.044159650802612305,
0.02720900997519493,
0.06760339438915253,
-0.002296938793733716,
0.10195834189653397,
-0.02605370059609413,
-0.012065166607499123,
0.04147370532155037,
0.004094491247087717,
-0.03314889967441559,
0.05879224091768265,
0.05735360085964203,
-0.009400011040270329,
0.07786072045564651,
-0.018807198852300644,
-0.008787062019109726,
0.045841511338949203,
-1.2489806843690238e-35,
0.0015524468617513776,
0.08089449256658554,
-0.0008558992994949222,
-0.0321810320019722,
0.05374019220471382,
-0.07172702997922897,
0.014030533842742443,
-0.001770086819306016,
-0.06190196052193642,
0.017035283148288727,
-0.06633032858371735,
0.05347318574786186,
0.020770292729139328,
-0.045810822397470474,
-0.03930310532450676,
-0.020655576139688492,
-0.017435822635889053,
0.04197040945291519,
-0.0029438906349241734,
0.0872422307729721,
0.0314754992723465,
-0.024746321141719818,
0.060102056711912155,
-0.07638582587242126,
-0.030209971591830254,
-0.06942810118198395,
-0.007709123194217682,
-0.03522815182805061,
0.04655466601252556,
0.012768246233463287,
0.026582105085253716,
0.11630811542272568,
-0.05089452862739563,
-0.03310570865869522,
0.02702069841325283,
0.006315805949270725,
0.008832765743136406,
0.06792543828487396,
-0.04021845757961273,
0.035157449543476105,
-0.005637819413095713,
-0.062355466187000275,
-0.05595424771308899,
0.05310939997434616,
0.15187174081802368,
-0.08215663582086563,
0.03896801546216011,
0.09069536626338959,
-0.020931463688611984,
0.01241248194128275,
-0.014077296480536461,
-0.10728718340396881,
-0.08391224592924118,
0.09364032000303268,
0.04623929783701897,
0.02150481380522251,
0.09038161486387253,
-0.0500374473631382,
-0.023325594142079353,
0.0033885114826261997,
0.0650227814912796,
-0.10269702970981598,
0.0968639999628067,
0.022789591923356056,
0.014836988411843777,
-0.04864590987563133,
-0.06463290750980377,
0.020250024273991585,
-0.027088193222880363,
0.023560861125588417,
-0.013462982140481472,
0.023505376651883125,
-0.02584424801170826,
0.004233882762491703,
0.07087278366088867,
-0.052592623978853226,
0.013738813810050488,
0.08632583171129227,
-0.004717635456472635,
0.08054117858409882,
-0.012185960076749325,
-0.040019020438194275,
-0.026898272335529327,
-0.0055407327599823475,
-0.14434729516506195,
-0.043005313724279404,
-0.027067756280303,
-0.02631382644176483,
-0.04330863803625107,
-0.07378321886062622,
0.021678093820810318,
-0.024369554594159126,
0.026703841984272003,
-0.01956036500632763,
-0.05502993240952492,
-2.899215573310081e-33,
0.067636638879776,
0.004800570663064718,
-0.006126323249191046,
-0.014355354942381382,
0.021275773644447327,
0.09775926172733307,
0.05619437247514725,
0.12499646097421646,
-0.006595573388040066,
-0.021487712860107422,
0.10704202204942703,
0.025910329073667526,
-0.07323058694601059,
-0.01144432369619608,
-0.039900362491607666,
-0.05280444398522377,
0.12673690915107727,
0.00391342444345355,
0.011593936942517757,
-0.025504281744360924,
0.020086092874407768,
-0.060247842222452164,
0.031339243054389954,
0.0029887643177062273,
-0.013589411042630672,
0.06543365120887756,
0.011211036704480648,
0.02463761903345585,
-0.00853932835161686,
0.07703059166669846,
0.014689465053379536,
-0.005812519695609808,
0.022178800776600838,
-0.03332745283842087,
0.027868280187249184,
0.11150488257408142,
0.028743278235197067,
0.015853211283683777,
-0.019598236307501793,
-0.026545243337750435,
0.01893744431436062,
0.008700612001121044,
0.117282435297966,
-0.02038119174540043,
-0.01523537002503872,
0.0332939475774765,
0.04511204734444618,
-0.015404670499265194,
-0.05780547857284546,
-0.020003505051136017,
0.0009516821592114866,
-0.024112090468406677,
-0.02043788693845272,
0.03510455787181854,
-0.029769491404294968,
0.06544223427772522,
-0.0484301783144474,
-0.020890245214104652,
0.031579356640577316,
0.0393998846411705,
-0.02701466903090477,
0.011654052883386612,
0.011844859458506107,
-0.08519171178340912,
-0.03889579698443413,
-0.08182496577501297,
-0.0998174250125885,
-0.019840098917484283,
0.044661831110715866,
-0.07156022638082504,
-0.03521546721458435,
-0.016402430832386017,
-0.03289137780666351,
-0.04908003658056259,
-0.06445146352052689,
-0.06555446237325668,
-0.017120929434895515,
-0.034310370683670044,
-0.06717696785926819,
0.00042552658123895526,
0.013282939791679382,
0.014099381864070892,
-0.0032463427633047104,
-0.05714969336986542,
-0.044540904462337494,
-0.009371747262775898,
-0.009762381203472614,
-0.08314172178506851,
-0.011659208685159683,
-0.030255714431405067,
-0.046774666756391525,
0.031636178493499756,
-0.0490497425198555,
-0.03087710589170456,
0.16596031188964844,
-5.123322921463114e-8,
0.06786324083805084,
0.03541817516088486,
-0.021482719108462334,
-0.004422052763402462,
0.027444913983345032,
-0.08048461377620697,
-0.04297471046447754,
-0.04731087014079094,
-0.03094344399869442,
-0.07261509448289871,
0.023495851084589958,
0.0017007547430694103,
0.0017421862576156855,
-0.09000016748905182,
0.08253461122512817,
-0.00773216737434268,
-0.06363171339035034,
-0.047619983553886414,
0.014822890982031822,
-0.043896399438381195,
0.00856517069041729,
-0.03291051834821701,
-0.008715284056961536,
-0.04948784410953522,
-0.030268216505646706,
0.03593164682388306,
-0.11413193494081497,
-0.03343825042247772,
-0.051822662353515625,
-0.012513615190982819,
0.007613694295287132,
0.0295233353972435,
-0.02422599121928215,
0.08087819069623947,
-0.08725568652153015,
-0.027439579367637634,
-0.0056877657771110535,
-0.02918907441198826,
-0.06737436354160309,
-0.026665806770324707,
-0.038857024163007736,
0.019294194877147675,
0.006899000611156225,
0.007780095562338829,
0.01748434081673622,
0.06966567784547806,
0.02687756158411503,
-0.025196652859449387,
-0.001984239788725972,
0.08617004007101059,
-0.0008755416492931545,
0.01794504001736641,
0.02601560764014721,
-0.05181998014450073,
-0.03978613391518593,
0.00469365855678916,
-0.03319006785750389,
-0.07192404568195343,
-0.04570115730166435,
0.023951340466737747,
0.015125604346394539,
0.035310160368680954,
-0.007273923140019178,
0.052446149289608
] | null | null | null | null | null | null | null |
[
-0.1390976905822754,
0.028254596516489983,
0.027156883850693703,
0.029071185737848282,
-0.001873582019470632,
0.002069558249786496,
-0.00007965353142935783,
-0.06283055990934372,
0.0005885864375159144,
0.018314458429813385,
0.08462133258581161,
-0.03273014724254608,
-0.034526556730270386,
-0.06249319389462471,
0.06406789273023605,
0.02615918591618538,
-0.10092784464359283,
-0.05458748713135719,
-0.019349725916981697,
0.060769740492105484,
0.04896732047200203,
-0.014393411576747894,
-0.04485013708472252,
-0.09127981215715408,
0.0832860916852951,
-0.006348709110170603,
0.03204656019806862,
-0.04115413874387741,
0.08593165129423141,
0.04396706819534302,
0.09399957954883575,
0.023640060797333717,
-0.026026584208011627,
0.0518651083111763,
-0.018418602645397186,
-0.0044099693186581135,
0.013073395006358624,
0.03449349105358124,
-0.028037279844284058,
0.023056635633111,
-0.0244097001850605,
0.13891562819480896,
-0.1291789561510086,
0.034204594790935516,
-0.0008481349796056747,
-0.005600083153694868,
-0.010404412634670734,
-0.020241333171725273,
-0.0537356361746788,
-0.008555829524993896,
-0.02940753474831581,
-0.0019427313236519694,
-0.04106311500072479,
0.10581380873918533,
0.029539141803979874,
0.009876980446279049,
-0.04208189621567726,
0.061301130801439285,
0.06434644013643265,
-0.06884053349494934,
0.02769595757126808,
0.0549430251121521,
-0.028746729716658592,
-0.018961340188980103,
0.026668256148695946,
0.02024305984377861,
-0.040002189576625824,
0.0280450526624918,
-0.016226347535848618,
-0.010964566841721535,
0.016084112226963043,
-0.0062063611112535,
0.020160172134637833,
-0.015280522406101227,
0.02405134215950966,
-0.029004590585827827,
-0.0390600711107254,
-0.05324368551373482,
-0.04043813422322273,
0.12259519845247269,
-0.060483142733573914,
-0.05464618280529976,
-0.0415462963283062,
0.016049768775701523,
-0.0005595408729277551,
0.025160791352391243,
0.004169119987636805,
-0.0957895964384079,
-0.026174644008278847,
-0.004027649760246277,
-0.032116759568452835,
-0.109145388007164,
0.029179051518440247,
-0.04813419282436371,
0.046308062970638275,
-0.014441994950175285,
0.10070598125457764,
0.03306734561920166,
0.11407168209552765,
0.025966210290789604,
0.043186984956264496,
-0.12605321407318115,
-0.02970755472779274,
0.058256667107343674,
-0.07379557192325592,
-0.005808551795780659,
0.03397435322403908,
0.06560558825731277,
-0.06259064376354218,
0.08283918350934982,
0.044159650802612305,
0.02720900997519493,
0.06760339438915253,
-0.002296938793733716,
0.10195834189653397,
-0.02605370059609413,
-0.012065166607499123,
0.04147370532155037,
0.004094491247087717,
-0.03314889967441559,
0.05879224091768265,
0.05735360085964203,
-0.009400011040270329,
0.07786072045564651,
-0.018807198852300644,
-0.008787062019109726,
0.045841511338949203,
-1.2489806843690238e-35,
0.0015524468617513776,
0.08089449256658554,
-0.0008558992994949222,
-0.0321810320019722,
0.05374019220471382,
-0.07172702997922897,
0.014030533842742443,
-0.001770086819306016,
-0.06190196052193642,
0.017035283148288727,
-0.06633032858371735,
0.05347318574786186,
0.020770292729139328,
-0.045810822397470474,
-0.03930310532450676,
-0.020655576139688492,
-0.017435822635889053,
0.04197040945291519,
-0.0029438906349241734,
0.0872422307729721,
0.0314754992723465,
-0.024746321141719818,
0.060102056711912155,
-0.07638582587242126,
-0.030209971591830254,
-0.06942810118198395,
-0.007709123194217682,
-0.03522815182805061,
0.04655466601252556,
0.012768246233463287,
0.026582105085253716,
0.11630811542272568,
-0.05089452862739563,
-0.03310570865869522,
0.02702069841325283,
0.006315805949270725,
0.008832765743136406,
0.06792543828487396,
-0.04021845757961273,
0.035157449543476105,
-0.005637819413095713,
-0.062355466187000275,
-0.05595424771308899,
0.05310939997434616,
0.15187174081802368,
-0.08215663582086563,
0.03896801546216011,
0.09069536626338959,
-0.020931463688611984,
0.01241248194128275,
-0.014077296480536461,
-0.10728718340396881,
-0.08391224592924118,
0.09364032000303268,
0.04623929783701897,
0.02150481380522251,
0.09038161486387253,
-0.0500374473631382,
-0.023325594142079353,
0.0033885114826261997,
0.0650227814912796,
-0.10269702970981598,
0.0968639999628067,
0.022789591923356056,
0.014836988411843777,
-0.04864590987563133,
-0.06463290750980377,
0.020250024273991585,
-0.027088193222880363,
0.023560861125588417,
-0.013462982140481472,
0.023505376651883125,
-0.02584424801170826,
0.004233882762491703,
0.07087278366088867,
-0.052592623978853226,
0.013738813810050488,
0.08632583171129227,
-0.004717635456472635,
0.08054117858409882,
-0.012185960076749325,
-0.040019020438194275,
-0.026898272335529327,
-0.0055407327599823475,
-0.14434729516506195,
-0.043005313724279404,
-0.027067756280303,
-0.02631382644176483,
-0.04330863803625107,
-0.07378321886062622,
0.021678093820810318,
-0.024369554594159126,
0.026703841984272003,
-0.01956036500632763,
-0.05502993240952492,
-2.899215573310081e-33,
0.067636638879776,
0.004800570663064718,
-0.006126323249191046,
-0.014355354942381382,
0.021275773644447327,
0.09775926172733307,
0.05619437247514725,
0.12499646097421646,
-0.006595573388040066,
-0.021487712860107422,
0.10704202204942703,
0.025910329073667526,
-0.07323058694601059,
-0.01144432369619608,
-0.039900362491607666,
-0.05280444398522377,
0.12673690915107727,
0.00391342444345355,
0.011593936942517757,
-0.025504281744360924,
0.020086092874407768,
-0.060247842222452164,
0.031339243054389954,
0.0029887643177062273,
-0.013589411042630672,
0.06543365120887756,
0.011211036704480648,
0.02463761903345585,
-0.00853932835161686,
0.07703059166669846,
0.014689465053379536,
-0.005812519695609808,
0.022178800776600838,
-0.03332745283842087,
0.027868280187249184,
0.11150488257408142,
0.028743278235197067,
0.015853211283683777,
-0.019598236307501793,
-0.026545243337750435,
0.01893744431436062,
0.008700612001121044,
0.117282435297966,
-0.02038119174540043,
-0.01523537002503872,
0.0332939475774765,
0.04511204734444618,
-0.015404670499265194,
-0.05780547857284546,
-0.020003505051136017,
0.0009516821592114866,
-0.024112090468406677,
-0.02043788693845272,
0.03510455787181854,
-0.029769491404294968,
0.06544223427772522,
-0.0484301783144474,
-0.020890245214104652,
0.031579356640577316,
0.0393998846411705,
-0.02701466903090477,
0.011654052883386612,
0.011844859458506107,
-0.08519171178340912,
-0.03889579698443413,
-0.08182496577501297,
-0.0998174250125885,
-0.019840098917484283,
0.044661831110715866,
-0.07156022638082504,
-0.03521546721458435,
-0.016402430832386017,
-0.03289137780666351,
-0.04908003658056259,
-0.06445146352052689,
-0.06555446237325668,
-0.017120929434895515,
-0.034310370683670044,
-0.06717696785926819,
0.00042552658123895526,
0.013282939791679382,
0.014099381864070892,
-0.0032463427633047104,
-0.05714969336986542,
-0.044540904462337494,
-0.009371747262775898,
-0.009762381203472614,
-0.08314172178506851,
-0.011659208685159683,
-0.030255714431405067,
-0.046774666756391525,
0.031636178493499756,
-0.0490497425198555,
-0.03087710589170456,
0.16596031188964844,
-5.123322921463114e-8,
0.06786324083805084,
0.03541817516088486,
-0.021482719108462334,
-0.004422052763402462,
0.027444913983345032,
-0.08048461377620697,
-0.04297471046447754,
-0.04731087014079094,
-0.03094344399869442,
-0.07261509448289871,
0.023495851084589958,
0.0017007547430694103,
0.0017421862576156855,
-0.09000016748905182,
0.08253461122512817,
-0.00773216737434268,
-0.06363171339035034,
-0.047619983553886414,
0.014822890982031822,
-0.043896399438381195,
0.00856517069041729,
-0.03291051834821701,
-0.008715284056961536,
-0.04948784410953522,
-0.030268216505646706,
0.03593164682388306,
-0.11413193494081497,
-0.03343825042247772,
-0.051822662353515625,
-0.012513615190982819,
0.007613694295287132,
0.0295233353972435,
-0.02422599121928215,
0.08087819069623947,
-0.08725568652153015,
-0.027439579367637634,
-0.0056877657771110535,
-0.02918907441198826,
-0.06737436354160309,
-0.026665806770324707,
-0.038857024163007736,
0.019294194877147675,
0.006899000611156225,
0.007780095562338829,
0.01748434081673622,
0.06966567784547806,
0.02687756158411503,
-0.025196652859449387,
-0.001984239788725972,
0.08617004007101059,
-0.0008755416492931545,
0.01794504001736641,
0.02601560764014721,
-0.05181998014450073,
-0.03978613391518593,
0.00469365855678916,
-0.03319006785750389,
-0.07192404568195343,
-0.04570115730166435,
0.023951340466737747,
0.015125604346394539,
0.035310160368680954,
-0.007273923140019178,
0.052446149289608
] |
1402.3021
|
Mukund Raghothaman
|
Rajeev Alur, Adam Freilich, Mukund Raghothaman
|
Regular Combinators for String Transformations
|
This is the full version, with omitted proofs and constructions, of
the conference paper currently in submission
| null | null | null |
cs.FL
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We focus on (partial) functions that map input strings to a monoid such as
the set of integers with addition and the set of output strings with
concatenation. The notion of regularity for such functions has been defined
using two-way finite-state transducers, (one-way) cost register automata, and
MSO-definable graph transformations. In this paper, we give an algebraic and
machine-independent characterization of this class analogous to the definition
of regular languages by regular expressions. When the monoid is commutative, we
prove that every regular function can be constructed from constant functions
using the combinators of choice, split sum, and iterated sum, that are analogs
of union, concatenation, and Kleene-*, respectively, but enforce unique (or
unambiguous) parsing. Our main result is for the general case of
non-commutative monoids, which is of particular interest for capturing regular
string-to-string transformations for document processing. We prove that the
following additional combinators suffice for constructing all regular
functions: (1) the left-additive versions of split sum and iterated sum, which
allow transformations such as string reversal; (2) sum of functions, which
allows transformations such as copying of strings; and (3) function
composition, or alternatively, a new concept of chained sum, which allows
output values from adjacent blocks to mix.
|
[
{
"created": "Thu, 13 Feb 2014 02:17:03 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Alur",
"Rajeev",
""
],
[
"Freilich",
"Adam",
""
],
[
"Raghothaman",
"Mukund",
""
]
] |
[
-0.07499399781227112,
0.04332619905471802,
0.054770272225141525,
-0.03523247689008713,
-0.06579712778329849,
-0.0005816975608468056,
0.03475235030055046,
-0.018399130553007126,
-0.025394683703780174,
0.006020646542310715,
-0.01859120838344097,
-0.10281135886907578,
0.014578554779291153,
0.04395487159490585,
0.03182748332619667,
0.04000448063015938,
-0.04439125582575798,
0.055722925812006,
-0.06522777676582336,
-0.029417509213089943,
0.015414328314363956,
0.004523155279457569,
-0.10057944804430008,
0.01916504092514515,
0.05543765425682068,
0.047487612813711166,
-0.061744946986436844,
-0.03717966005206108,
0.03993622213602066,
0.06577114760875702,
-0.05371253937482834,
0.003093335311859846,
0.040686000138521194,
0.044555600732564926,
0.04366448149085045,
0.036672238260507584,
0.0015445832395926118,
-0.003855722025036812,
0.0019249619217589498,
0.03268125280737877,
0.010250560007989407,
-0.026950383558869362,
0.021669646725058556,
0.003006149083375931,
-0.01348912250250578,
0.06702559441328049,
0.049846749752759933,
0.03429582342505455,
-0.06605304032564163,
0.004831089172512293,
0.052236754447221756,
0.04844517260789871,
-0.10786803066730499,
0.03632345423102379,
0.04559590667486191,
-0.008907314389944077,
-0.017297057434916496,
-0.026296205818653107,
-0.04217122122645378,
-0.05318069830536842,
-0.04162291809916496,
-0.03787396475672722,
-0.013681771233677864,
0.005100602749735117,
-0.02101626992225647,
0.0027617693413048983,
-0.03452445939183235,
0.04477682337164879,
0.04039645195007324,
0.07740990072488785,
-0.056208737194538116,
0.06393201649188995,
-0.022467995062470436,
0.09111718088388443,
0.010584549978375435,
0.02086735889315605,
0.027042703703045845,
-0.04782814159989357,
-0.015087253414094448,
-0.0015537546714767814,
0.01583474688231945,
-0.01172569952905178,
0.06118423491716385,
0.010649037547409534,
0.050255801528692245,
0.03575138375163078,
-0.0746980533003807,
-0.009509269148111343,
0.027712715789675713,
0.07423315197229385,
-0.08533647656440735,
-0.0672040581703186,
0.13442806899547577,
-0.0334351509809494,
0.02208472602069378,
0.0012235341127961874,
-0.009448811411857605,
-0.01862163469195366,
0.09291885048151016,
0.09182535856962204,
-0.01979050599038601,
0.05071393772959709,
0.11508253216743469,
-0.05950936675071716,
-0.03911541402339935,
0.05418527126312256,
-0.049797799438238144,
-0.004652006085962057,
-0.03738951310515404,
-0.05835166946053505,
0.0336197204887867,
0.006057392340153456,
0.10387392342090607,
0.008191104978322983,
-0.014909381046891212,
-0.03986551612615585,
-0.03853478655219078,
-0.04241378232836723,
0.11533904820680618,
0.013334962539374828,
0.020371802151203156,
-0.05346091091632843,
0.023723356425762177,
0.06951652467250824,
0.04888131469488144,
0.008404132910072803,
0.004654970020055771,
3.868876087857586e-34,
0.009251088835299015,
0.08552360534667969,
-0.06093282625079155,
-0.008040501736104488,
-0.026312243193387985,
0.007865412160754204,
-0.0011772228172048926,
-0.025066904723644257,
-0.07697988301515579,
0.037984032183885574,
0.002758097369223833,
0.12567642331123352,
0.029745804145932198,
0.08554626256227493,
0.03936169296503067,
-0.006049836054444313,
0.1448039412498474,
-0.010231047868728638,
0.012558585964143276,
-0.08635033667087555,
0.02114275097846985,
0.09216747432947159,
-0.0026258425787091255,
0.026195505633950233,
0.03191620111465454,
-0.001902674208395183,
0.008487379178404808,
-0.08081437647342682,
0.06012428179383278,
-0.006078139878809452,
-0.06018723174929619,
-0.007246084976941347,
0.048934392631053925,
0.04923035949468613,
0.02285921946167946,
-0.00798085518181324,
-0.01552507746964693,
-0.0755043476819992,
-0.004898086655884981,
-0.07582823932170868,
-0.02094685658812523,
0.034926366060972214,
-0.030872393399477005,
0.0021045899484306574,
0.0006455571856349707,
-0.04545758664608002,
-0.06532691419124603,
0.013824760913848877,
0.008918585255742073,
-0.07052134722471237,
0.013144330121576786,
-0.002013041405007243,
-0.056865353137254715,
-0.0019630552269518375,
-0.022799499332904816,
-0.014132088981568813,
0.03878212720155716,
0.04965529218316078,
0.039833489805459976,
0.13992908596992493,
-0.122123584151268,
0.12239186465740204,
-0.036022067070007324,
0.026807501912117004,
-0.08364330977201462,
0.019587654620409012,
-0.06273483484983444,
-0.04338815063238144,
0.08080331981182098,
0.021855661645531654,
-0.05991630628705025,
0.005494225770235062,
-0.06784086674451828,
0.015908686444163322,
0.0798553004860878,
-0.007256264332681894,
0.034704964607954025,
-0.17063145339488983,
-0.08021434396505356,
-0.0008672511321492493,
-0.03654167801141739,
0.02885550446808338,
0.06674546748399734,
0.022034863010048866,
0.01320023275911808,
-0.06111092492938042,
-0.0028340157587081194,
-0.06391841918230057,
0.02423115447163582,
-0.09926856309175491,
-0.012651346623897552,
-0.026603203266859055,
-0.05404044687747955,
0.02206219919025898,
0.05052383989095688,
-1.791287719418097e-33,
-0.05446692183613777,
-0.04338909313082695,
-0.04184848442673683,
0.03383157029747963,
-0.028124453499913216,
-0.06645497679710388,
0.02622944675385952,
-0.01752743497490883,
0.040530506521463394,
-0.028107551857829094,
-0.01796567440032959,
-0.002403059508651495,
0.015657812356948853,
0.03476664423942566,
0.012800668366253376,
-0.09234567731618881,
-0.011092985048890114,
0.010482206009328365,
0.01497775036841631,
0.07711568474769592,
0.025888506323099136,
0.11119963973760605,
-0.044806934893131256,
0.05281775817275047,
0.06369508057832718,
0.055037546902894974,
-0.08685585111379623,
0.05165274068713188,
0.012616464868187904,
0.043635495007038116,
0.01574297808110714,
-0.053778305649757385,
-0.01148741040378809,
-0.04422597214579582,
-0.005173210054636002,
-0.08090014010667801,
0.045914553105831146,
0.06772235780954361,
-0.005986173637211323,
-0.013778108172118664,
-0.003724109847098589,
-0.052825164049863815,
0.07083910703659058,
0.03250841796398163,
0.03923860564827919,
0.003913539927452803,
-0.11456163227558136,
0.01883259229362011,
-0.05876363441348076,
-0.059556517750024796,
-0.03202655911445618,
0.013890204951167107,
-0.01198197714984417,
-0.010515517555177212,
0.000673525792080909,
-0.045489806681871414,
0.028986230492591858,
-0.013109281659126282,
-0.018506620079278946,
-0.05314480885863304,
-0.0848769024014473,
-0.050126418471336365,
0.04529068246483803,
0.005015569739043713,
0.0867115780711174,
-0.03306451439857483,
-0.03154067322611809,
-0.0889691486954689,
0.031522128731012344,
-0.013910593464970589,
0.023200443014502525,
0.027292849496006966,
-0.10133334994316101,
0.0001850249245762825,
-0.02433883585035801,
-0.02669568732380867,
0.011122080497443676,
0.002008640207350254,
0.04657788202166557,
0.1378469467163086,
-0.021114418283104897,
-0.006670384667813778,
0.06888119876384735,
0.05103430896997452,
-0.05925581976771355,
-0.07831737399101257,
0.013830309733748436,
0.05685872584581375,
0.016325123608112335,
0.027594631537795067,
0.045173920691013336,
0.006380070466548204,
-0.003308833809569478,
0.030214888975024223,
0.03589308261871338,
-4.221832128337155e-8,
-0.07970341295003891,
-0.05544033646583557,
-0.04920905828475952,
-0.027959825471043587,
0.015598041005432606,
-0.05340570583939552,
-0.021053126081824303,
-0.022589143365621567,
0.0027945630718022585,
-0.08636121451854706,
0.055163733661174774,
0.049367111176252365,
-0.010541551746428013,
-0.09260191023349762,
-0.05563998594880104,
0.07547640800476074,
0.08751105517148972,
-0.0003708961303345859,
-0.03672301769256592,
0.04761594533920288,
-0.02497616969048977,
0.036141376942396164,
-0.10012808442115784,
0.011354563757777214,
-0.09384524077177048,
-0.09033292531967163,
-0.031223230063915253,
-0.007283539976924658,
-0.0463472455739975,
0.034777093678712845,
0.025782857090234756,
0.05586540699005127,
0.057519976049661636,
0.03169931843876839,
-0.03333090618252754,
0.08656007796525955,
-0.012389568611979485,
0.016403108835220337,
-0.04070867970585823,
-0.00007033923611743376,
0.06649671494960785,
0.045762475579977036,
-0.06132082641124725,
0.037651434540748596,
-0.002269322983920574,
-0.1427568942308426,
0.005755928345024586,
-0.0799068883061409,
-0.021603483706712723,
-0.08188004046678543,
0.0602269284427166,
-0.025702599436044693,
0.051096998155117035,
-0.026829762384295464,
-0.026762431487441063,
0.04248650372028351,
-0.032553233206272125,
-0.07990534603595734,
-0.0029872723389416933,
0.07671058177947998,
-0.010396351106464863,
0.01560740452259779,
0.07858780771493912,
-0.026538686826825142
] | null | null | null | null | null | null | null |
[
-0.07499399781227112,
0.04332619905471802,
0.054770272225141525,
-0.03523247689008713,
-0.06579712778329849,
-0.0005816975608468056,
0.03475235030055046,
-0.018399130553007126,
-0.025394683703780174,
0.006020646542310715,
-0.01859120838344097,
-0.10281135886907578,
0.014578554779291153,
0.04395487159490585,
0.03182748332619667,
0.04000448063015938,
-0.04439125582575798,
0.055722925812006,
-0.06522777676582336,
-0.029417509213089943,
0.015414328314363956,
0.004523155279457569,
-0.10057944804430008,
0.01916504092514515,
0.05543765425682068,
0.047487612813711166,
-0.061744946986436844,
-0.03717966005206108,
0.03993622213602066,
0.06577114760875702,
-0.05371253937482834,
0.003093335311859846,
0.040686000138521194,
0.044555600732564926,
0.04366448149085045,
0.036672238260507584,
0.0015445832395926118,
-0.003855722025036812,
0.0019249619217589498,
0.03268125280737877,
0.010250560007989407,
-0.026950383558869362,
0.021669646725058556,
0.003006149083375931,
-0.01348912250250578,
0.06702559441328049,
0.049846749752759933,
0.03429582342505455,
-0.06605304032564163,
0.004831089172512293,
0.052236754447221756,
0.04844517260789871,
-0.10786803066730499,
0.03632345423102379,
0.04559590667486191,
-0.008907314389944077,
-0.017297057434916496,
-0.026296205818653107,
-0.04217122122645378,
-0.05318069830536842,
-0.04162291809916496,
-0.03787396475672722,
-0.013681771233677864,
0.005100602749735117,
-0.02101626992225647,
0.0027617693413048983,
-0.03452445939183235,
0.04477682337164879,
0.04039645195007324,
0.07740990072488785,
-0.056208737194538116,
0.06393201649188995,
-0.022467995062470436,
0.09111718088388443,
0.010584549978375435,
0.02086735889315605,
0.027042703703045845,
-0.04782814159989357,
-0.015087253414094448,
-0.0015537546714767814,
0.01583474688231945,
-0.01172569952905178,
0.06118423491716385,
0.010649037547409534,
0.050255801528692245,
0.03575138375163078,
-0.0746980533003807,
-0.009509269148111343,
0.027712715789675713,
0.07423315197229385,
-0.08533647656440735,
-0.0672040581703186,
0.13442806899547577,
-0.0334351509809494,
0.02208472602069378,
0.0012235341127961874,
-0.009448811411857605,
-0.01862163469195366,
0.09291885048151016,
0.09182535856962204,
-0.01979050599038601,
0.05071393772959709,
0.11508253216743469,
-0.05950936675071716,
-0.03911541402339935,
0.05418527126312256,
-0.049797799438238144,
-0.004652006085962057,
-0.03738951310515404,
-0.05835166946053505,
0.0336197204887867,
0.006057392340153456,
0.10387392342090607,
0.008191104978322983,
-0.014909381046891212,
-0.03986551612615585,
-0.03853478655219078,
-0.04241378232836723,
0.11533904820680618,
0.013334962539374828,
0.020371802151203156,
-0.05346091091632843,
0.023723356425762177,
0.06951652467250824,
0.04888131469488144,
0.008404132910072803,
0.004654970020055771,
3.868876087857586e-34,
0.009251088835299015,
0.08552360534667969,
-0.06093282625079155,
-0.008040501736104488,
-0.026312243193387985,
0.007865412160754204,
-0.0011772228172048926,
-0.025066904723644257,
-0.07697988301515579,
0.037984032183885574,
0.002758097369223833,
0.12567642331123352,
0.029745804145932198,
0.08554626256227493,
0.03936169296503067,
-0.006049836054444313,
0.1448039412498474,
-0.010231047868728638,
0.012558585964143276,
-0.08635033667087555,
0.02114275097846985,
0.09216747432947159,
-0.0026258425787091255,
0.026195505633950233,
0.03191620111465454,
-0.001902674208395183,
0.008487379178404808,
-0.08081437647342682,
0.06012428179383278,
-0.006078139878809452,
-0.06018723174929619,
-0.007246084976941347,
0.048934392631053925,
0.04923035949468613,
0.02285921946167946,
-0.00798085518181324,
-0.01552507746964693,
-0.0755043476819992,
-0.004898086655884981,
-0.07582823932170868,
-0.02094685658812523,
0.034926366060972214,
-0.030872393399477005,
0.0021045899484306574,
0.0006455571856349707,
-0.04545758664608002,
-0.06532691419124603,
0.013824760913848877,
0.008918585255742073,
-0.07052134722471237,
0.013144330121576786,
-0.002013041405007243,
-0.056865353137254715,
-0.0019630552269518375,
-0.022799499332904816,
-0.014132088981568813,
0.03878212720155716,
0.04965529218316078,
0.039833489805459976,
0.13992908596992493,
-0.122123584151268,
0.12239186465740204,
-0.036022067070007324,
0.026807501912117004,
-0.08364330977201462,
0.019587654620409012,
-0.06273483484983444,
-0.04338815063238144,
0.08080331981182098,
0.021855661645531654,
-0.05991630628705025,
0.005494225770235062,
-0.06784086674451828,
0.015908686444163322,
0.0798553004860878,
-0.007256264332681894,
0.034704964607954025,
-0.17063145339488983,
-0.08021434396505356,
-0.0008672511321492493,
-0.03654167801141739,
0.02885550446808338,
0.06674546748399734,
0.022034863010048866,
0.01320023275911808,
-0.06111092492938042,
-0.0028340157587081194,
-0.06391841918230057,
0.02423115447163582,
-0.09926856309175491,
-0.012651346623897552,
-0.026603203266859055,
-0.05404044687747955,
0.02206219919025898,
0.05052383989095688,
-1.791287719418097e-33,
-0.05446692183613777,
-0.04338909313082695,
-0.04184848442673683,
0.03383157029747963,
-0.028124453499913216,
-0.06645497679710388,
0.02622944675385952,
-0.01752743497490883,
0.040530506521463394,
-0.028107551857829094,
-0.01796567440032959,
-0.002403059508651495,
0.015657812356948853,
0.03476664423942566,
0.012800668366253376,
-0.09234567731618881,
-0.011092985048890114,
0.010482206009328365,
0.01497775036841631,
0.07711568474769592,
0.025888506323099136,
0.11119963973760605,
-0.044806934893131256,
0.05281775817275047,
0.06369508057832718,
0.055037546902894974,
-0.08685585111379623,
0.05165274068713188,
0.012616464868187904,
0.043635495007038116,
0.01574297808110714,
-0.053778305649757385,
-0.01148741040378809,
-0.04422597214579582,
-0.005173210054636002,
-0.08090014010667801,
0.045914553105831146,
0.06772235780954361,
-0.005986173637211323,
-0.013778108172118664,
-0.003724109847098589,
-0.052825164049863815,
0.07083910703659058,
0.03250841796398163,
0.03923860564827919,
0.003913539927452803,
-0.11456163227558136,
0.01883259229362011,
-0.05876363441348076,
-0.059556517750024796,
-0.03202655911445618,
0.013890204951167107,
-0.01198197714984417,
-0.010515517555177212,
0.000673525792080909,
-0.045489806681871414,
0.028986230492591858,
-0.013109281659126282,
-0.018506620079278946,
-0.05314480885863304,
-0.0848769024014473,
-0.050126418471336365,
0.04529068246483803,
0.005015569739043713,
0.0867115780711174,
-0.03306451439857483,
-0.03154067322611809,
-0.0889691486954689,
0.031522128731012344,
-0.013910593464970589,
0.023200443014502525,
0.027292849496006966,
-0.10133334994316101,
0.0001850249245762825,
-0.02433883585035801,
-0.02669568732380867,
0.011122080497443676,
0.002008640207350254,
0.04657788202166557,
0.1378469467163086,
-0.021114418283104897,
-0.006670384667813778,
0.06888119876384735,
0.05103430896997452,
-0.05925581976771355,
-0.07831737399101257,
0.013830309733748436,
0.05685872584581375,
0.016325123608112335,
0.027594631537795067,
0.045173920691013336,
0.006380070466548204,
-0.003308833809569478,
0.030214888975024223,
0.03589308261871338,
-4.221832128337155e-8,
-0.07970341295003891,
-0.05544033646583557,
-0.04920905828475952,
-0.027959825471043587,
0.015598041005432606,
-0.05340570583939552,
-0.021053126081824303,
-0.022589143365621567,
0.0027945630718022585,
-0.08636121451854706,
0.055163733661174774,
0.049367111176252365,
-0.010541551746428013,
-0.09260191023349762,
-0.05563998594880104,
0.07547640800476074,
0.08751105517148972,
-0.0003708961303345859,
-0.03672301769256592,
0.04761594533920288,
-0.02497616969048977,
0.036141376942396164,
-0.10012808442115784,
0.011354563757777214,
-0.09384524077177048,
-0.09033292531967163,
-0.031223230063915253,
-0.007283539976924658,
-0.0463472455739975,
0.034777093678712845,
0.025782857090234756,
0.05586540699005127,
0.057519976049661636,
0.03169931843876839,
-0.03333090618252754,
0.08656007796525955,
-0.012389568611979485,
0.016403108835220337,
-0.04070867970585823,
-0.00007033923611743376,
0.06649671494960785,
0.045762475579977036,
-0.06132082641124725,
0.037651434540748596,
-0.002269322983920574,
-0.1427568942308426,
0.005755928345024586,
-0.0799068883061409,
-0.021603483706712723,
-0.08188004046678543,
0.0602269284427166,
-0.025702599436044693,
0.051096998155117035,
-0.026829762384295464,
-0.026762431487441063,
0.04248650372028351,
-0.032553233206272125,
-0.07990534603595734,
-0.0029872723389416933,
0.07671058177947998,
-0.010396351106464863,
0.01560740452259779,
0.07858780771493912,
-0.026538686826825142
] |
1402.3022
|
Arkady Zgonnikov
|
Arkady Zgonnikov, Ihor Lubashevsky, Shigeru Kanemoto, Toru Miyazawa,
Takashi Suzuki
|
To react or not to react? Intrinsic stochasticity of human control in
virtual stick balancing
|
18 pages, 9 figures, 2 tables
| null | null | null |
physics.bio-ph cs.SY nlin.AO q-bio.NC
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Understanding how humans control unstable systems is central to many research
problems, with applications ranging from quiet standing to aircraft landing.
Increasingly much evidence appears in favor of event-driven control hypothesis:
human operators only start actively controlling the system when the discrepancy
between the current and desired system states becomes large enough. The
event-driven models based on the concept of threshold can explain many features
of the experimentally observed dynamics. However, much still remains unclear
about the dynamics of human-controlled systems, which likely indicates that
humans employ more intricate control mechanisms. The present paper argues that
control activation in humans may be not threshold-driven, but instead
intrinsically stochastic, noise-driven. Specifically, we suggest that control
activation stems from stochastic interplay between the operator's need to keep
the controlled system near the goal state on one hand and the tendency to
postpone interrupting the system dynamics on the other hand. We propose a model
capturing this interplay and show that it matches the experimental data on
human balancing of virtual overdamped stick. Our results illuminate that the
noise-driven activation mechanism plays a crucial role at least in the
considered task, and, hypothetically, in a broad range of human-controlled
processes.
|
[
{
"created": "Thu, 13 Feb 2014 02:42:49 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jun 2014 14:11:59 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Jun 2014 01:49:52 GMT",
"version": "v3"
}
] |
2014-06-17
|
[
[
"Zgonnikov",
"Arkady",
""
],
[
"Lubashevsky",
"Ihor",
""
],
[
"Kanemoto",
"Shigeru",
""
],
[
"Miyazawa",
"Toru",
""
],
[
"Suzuki",
"Takashi",
""
]
] |
[
0.00923626497387886,
-0.10192810744047165,
0.05590331181883812,
0.05591355636715889,
0.030269034206867218,
-0.06871876865625381,
0.08050260692834854,
0.011139784939587116,
0.04524404555559158,
0.010285737924277782,
-0.03251232951879501,
-0.03960941731929779,
-0.027113812044262886,
0.00485006719827652,
-0.018675565719604492,
0.01661560870707035,
0.07203862071037292,
0.05370159447193146,
-0.06985758244991302,
0.0358307771384716,
0.04802734777331352,
0.024139130488038063,
0.07031555473804474,
0.05128556489944458,
-0.09575969725847244,
-0.022826772183179855,
-0.05230725556612015,
-0.048787347972393036,
-0.00014249935338739306,
-0.06290408223867416,
0.0738510712981224,
-0.0976942777633667,
0.10466928035020828,
-0.06522013992071152,
-0.05660538002848625,
-0.0295573640614748,
0.024648606777191162,
-0.03486546501517296,
-0.012751207686960697,
-0.025307347998023033,
-0.03734184429049492,
-0.05353538691997528,
0.0005305085214786232,
0.023621205240488052,
0.004715561866760254,
0.0573500357568264,
0.000001322454181718058,
-0.041376661509275436,
-0.030422767624258995,
0.014585350640118122,
-0.034814558923244476,
0.062146224081516266,
0.07905293256044388,
-0.04897000640630722,
0.10424123704433441,
0.03325660154223442,
0.14237216114997864,
0.09458770602941513,
-0.03186371177434921,
-0.1129210814833641,
-0.021903540939092636,
-0.02310689352452755,
-0.05829808861017227,
-0.006036475300788879,
-0.01552516222000122,
0.07523053884506226,
-0.013158935122191906,
-0.036450620740652084,
0.04134705290198326,
0.060706671327352524,
-0.02682177908718586,
0.080549456179142,
-0.0233346838504076,
0.03662530705332756,
0.06723364442586899,
-0.025874637067317963,
-0.06610404700040817,
-0.03542453795671463,
-0.02312617562711239,
0.020814502611756325,
0.07676482200622559,
-0.052292600274086,
-0.01764810085296631,
-0.04348279535770416,
0.05884390324354172,
-0.047639958560466766,
0.044290490448474884,
0.046007029712200165,
0.05298122763633728,
0.061688292771577835,
-0.11520793288946152,
-0.012242121621966362,
0.022623632103204727,
0.05862114951014519,
-0.022107241675257683,
0.0026935175992548466,
-0.0004857284657191485,
-0.01766206882894039,
0.018631262704730034,
0.005846851505339146,
-0.013656796887516975,
0.008472827263176441,
-0.02823912538588047,
0.07005982846021652,
0.0659995824098587,
0.03500623628497124,
0.05153854563832283,
-0.03514356166124344,
-0.006406719330698252,
-0.019787471741437912,
-0.0006446967599913478,
-0.039232783019542694,
-0.03264818713068962,
0.03547182306647301,
-0.02019510231912136,
0.0013038695324212313,
-0.016330067068338394,
-0.04526848718523979,
-0.016014717519283295,
-0.07212147861719131,
0.012312047183513641,
-0.07964116334915161,
-0.02017209120094776,
-0.04535389319062233,
0.08485683053731918,
-0.010686620138585567,
0.016866032034158707,
1.5198002277624857e-33,
-0.023226860910654068,
-0.047304924577474594,
-0.03317917510867119,
0.027236180379986763,
0.05534246936440468,
-0.07577364146709442,
-0.09732237458229065,
-0.06902274489402771,
-0.027468208223581314,
0.07097411155700684,
0.014469352550804615,
-0.062258802354335785,
-0.013141725212335587,
0.023586241528391838,
0.10296913981437683,
-0.03899136558175087,
-0.005791801027953625,
-0.03207836300134659,
0.03086562268435955,
-0.06798948347568512,
0.061925049871206284,
-0.005115983076393604,
-0.07423538714647293,
-0.008125443942844868,
0.032530974596738815,
-0.006912668235599995,
-0.056192390620708466,
0.030065806582570076,
0.03462409973144531,
0.030208518728613853,
-0.11173457652330399,
0.0980120301246643,
-0.027628349140286446,
-0.02972930297255516,
-0.04015206918120384,
0.04303186386823654,
-0.026376446709036827,
-0.033190011978149414,
-0.002652427414432168,
0.013353897258639336,
-0.02057788334786892,
-0.028955215588212013,
-0.024748999625444412,
0.03367546200752258,
-0.03648067265748978,
-0.06826871633529663,
0.040832825005054474,
0.03998859226703644,
-0.11123304069042206,
-0.045378390699625015,
-0.07075232267379761,
0.07383473217487335,
0.05729985609650612,
-0.05439144745469093,
0.006383046507835388,
-0.02502277120947838,
0.10782570391893387,
-0.048029858618974686,
-0.09099587798118591,
0.033081091940402985,
-0.02844359166920185,
-0.01756696216762066,
0.06213703006505966,
0.00943912286311388,
0.06327524781227112,
0.03175404667854309,
-0.05329231545329094,
0.031934965401887894,
-0.02901979722082615,
-0.017548715695738792,
0.009932129643857479,
0.06323950737714767,
-0.021207144483923912,
-0.06317038834095001,
-0.022805267944931984,
0.013752896338701248,
0.050758495926856995,
-0.007157681975513697,
-0.02065272629261017,
-0.02521522343158722,
-0.0031446991488337517,
-0.05471549555659294,
-0.04258699342608452,
0.022348320111632347,
0.013671068474650383,
-0.017119448632001877,
-0.029360711574554443,
0.02836153656244278,
-0.12890219688415527,
0.0029905412811785936,
-0.0789131373167038,
-0.0552108995616436,
0.06982661038637161,
0.03361407294869423,
-0.11047250032424927,
-3.599956224839056e-33,
-0.04179736226797104,
-0.001204269239678979,
-0.019203288480639458,
0.046795327216386795,
-0.010155468247830868,
0.022263020277023315,
-0.0003613442531786859,
-0.07469548285007477,
-0.09135086089372635,
-0.00791714433580637,
-0.035394683480262756,
-0.034904055297374725,
-0.008527754805982113,
0.04048182815313339,
-0.02690728008747101,
-0.10511674731969833,
0.013522378169000149,
0.008612065576016903,
0.07346336543560028,
0.008044183254241943,
0.06571769714355469,
0.023309754207730293,
-0.031157106161117554,
-0.00996268168091774,
0.011563473381102085,
0.04203049838542938,
-0.035218946635723114,
0.13265526294708252,
0.013484480790793896,
-0.030355943366885185,
-0.07661791145801544,
-0.0075350976549088955,
0.07763899862766266,
-0.023307347670197487,
0.02614552713930607,
0.04405292496085167,
0.04659804701805115,
-0.02147803083062172,
0.04206741973757744,
0.004706979263573885,
0.02572115696966648,
0.012986846268177032,
-0.026894716545939445,
-0.0013008107198402286,
0.051939480006694794,
-0.009698000736534595,
-0.04433995857834816,
0.07107385247945786,
-0.11497312039136887,
-0.05326969176530838,
0.02873607911169529,
0.0745382010936737,
-0.01760626956820488,
0.04498851299285889,
-0.01967402920126915,
0.06393980979919434,
0.03915456309914589,
-0.062144480645656586,
0.0964648500084877,
0.06526869535446167,
-0.08755253255367279,
0.044903144240379333,
-0.0027794837951660156,
0.020563926547765732,
-0.031478192657232285,
0.01881912350654602,
-0.0019153032917529345,
0.023642931133508682,
0.06911364942789078,
-0.005722855683416128,
0.06661316752433777,
-0.025129064917564392,
0.038118790835142136,
0.019560839980840683,
0.040797311812639236,
-0.0031864652410149574,
-0.0597672313451767,
-0.04090140014886856,
0.027041124179959297,
-0.04937770217657089,
-0.04618869349360466,
-0.06906037032604218,
0.061063654720783234,
0.0347522608935833,
-0.1074107214808464,
0.09341618418693542,
-0.10581059008836746,
-0.011983505450189114,
0.0015288048889487982,
-0.007135673891752958,
-0.017000572755932808,
0.002249559387564659,
-0.009777081198990345,
0.014278513379395008,
-0.04729209840297699,
-5.463621377543859e-8,
-0.09697183966636658,
0.10945919901132584,
0.10623155534267426,
-0.041299931704998016,
0.11294181644916534,
0.06838304549455643,
0.10412099212408066,
-0.11932571977376938,
-0.046896569430828094,
-0.057160571217536926,
0.045021411031484604,
-0.036602046340703964,
0.060480259358882904,
0.028855660930275917,
-0.002543817041441798,
0.03758417069911957,
-0.013368899002671242,
0.06405950337648392,
-0.039015501737594604,
-0.042320627719163895,
0.04543197900056839,
-0.01183076947927475,
-0.05148017406463623,
-0.03366604819893837,
0.04468256235122681,
-0.0023651416413486004,
-0.0975593850016594,
0.08622106909751892,
0.025643035769462585,
0.0024927486665546894,
0.025028329342603683,
0.07279054820537567,
-0.025861302390694618,
0.02103281207382679,
0.06831782311201096,
0.01263705175369978,
0.05667412281036377,
-0.04386605694890022,
0.0090926643460989,
-0.03573799133300781,
-0.02198808267712593,
0.0691269114613533,
-0.050347454845905304,
0.06556729972362518,
0.021353239193558693,
0.044943567365407944,
-0.045681942254304886,
-0.04149201512336731,
0.04729681834578514,
0.023505674675107002,
0.0181423407047987,
-0.028977133333683014,
-0.0048941923305392265,
0.10804707556962967,
0.049767300486564636,
0.05919123813509941,
-0.007936377078294754,
-0.025701303035020828,
-0.014962572604417801,
0.04636469855904579,
0.056855976581573486,
0.03528060019016266,
-0.0876503437757492,
-0.021200763061642647
] | null | null | null | null | null | null | null |
[
0.00923626497387886,
-0.10192810744047165,
0.05590331181883812,
0.05591355636715889,
0.030269034206867218,
-0.06871876865625381,
0.08050260692834854,
0.011139784939587116,
0.04524404555559158,
0.010285737924277782,
-0.03251232951879501,
-0.03960941731929779,
-0.027113812044262886,
0.00485006719827652,
-0.018675565719604492,
0.01661560870707035,
0.07203862071037292,
0.05370159447193146,
-0.06985758244991302,
0.0358307771384716,
0.04802734777331352,
0.024139130488038063,
0.07031555473804474,
0.05128556489944458,
-0.09575969725847244,
-0.022826772183179855,
-0.05230725556612015,
-0.048787347972393036,
-0.00014249935338739306,
-0.06290408223867416,
0.0738510712981224,
-0.0976942777633667,
0.10466928035020828,
-0.06522013992071152,
-0.05660538002848625,
-0.0295573640614748,
0.024648606777191162,
-0.03486546501517296,
-0.012751207686960697,
-0.025307347998023033,
-0.03734184429049492,
-0.05353538691997528,
0.0005305085214786232,
0.023621205240488052,
0.004715561866760254,
0.0573500357568264,
0.000001322454181718058,
-0.041376661509275436,
-0.030422767624258995,
0.014585350640118122,
-0.034814558923244476,
0.062146224081516266,
0.07905293256044388,
-0.04897000640630722,
0.10424123704433441,
0.03325660154223442,
0.14237216114997864,
0.09458770602941513,
-0.03186371177434921,
-0.1129210814833641,
-0.021903540939092636,
-0.02310689352452755,
-0.05829808861017227,
-0.006036475300788879,
-0.01552516222000122,
0.07523053884506226,
-0.013158935122191906,
-0.036450620740652084,
0.04134705290198326,
0.060706671327352524,
-0.02682177908718586,
0.080549456179142,
-0.0233346838504076,
0.03662530705332756,
0.06723364442586899,
-0.025874637067317963,
-0.06610404700040817,
-0.03542453795671463,
-0.02312617562711239,
0.020814502611756325,
0.07676482200622559,
-0.052292600274086,
-0.01764810085296631,
-0.04348279535770416,
0.05884390324354172,
-0.047639958560466766,
0.044290490448474884,
0.046007029712200165,
0.05298122763633728,
0.061688292771577835,
-0.11520793288946152,
-0.012242121621966362,
0.022623632103204727,
0.05862114951014519,
-0.022107241675257683,
0.0026935175992548466,
-0.0004857284657191485,
-0.01766206882894039,
0.018631262704730034,
0.005846851505339146,
-0.013656796887516975,
0.008472827263176441,
-0.02823912538588047,
0.07005982846021652,
0.0659995824098587,
0.03500623628497124,
0.05153854563832283,
-0.03514356166124344,
-0.006406719330698252,
-0.019787471741437912,
-0.0006446967599913478,
-0.039232783019542694,
-0.03264818713068962,
0.03547182306647301,
-0.02019510231912136,
0.0013038695324212313,
-0.016330067068338394,
-0.04526848718523979,
-0.016014717519283295,
-0.07212147861719131,
0.012312047183513641,
-0.07964116334915161,
-0.02017209120094776,
-0.04535389319062233,
0.08485683053731918,
-0.010686620138585567,
0.016866032034158707,
1.5198002277624857e-33,
-0.023226860910654068,
-0.047304924577474594,
-0.03317917510867119,
0.027236180379986763,
0.05534246936440468,
-0.07577364146709442,
-0.09732237458229065,
-0.06902274489402771,
-0.027468208223581314,
0.07097411155700684,
0.014469352550804615,
-0.062258802354335785,
-0.013141725212335587,
0.023586241528391838,
0.10296913981437683,
-0.03899136558175087,
-0.005791801027953625,
-0.03207836300134659,
0.03086562268435955,
-0.06798948347568512,
0.061925049871206284,
-0.005115983076393604,
-0.07423538714647293,
-0.008125443942844868,
0.032530974596738815,
-0.006912668235599995,
-0.056192390620708466,
0.030065806582570076,
0.03462409973144531,
0.030208518728613853,
-0.11173457652330399,
0.0980120301246643,
-0.027628349140286446,
-0.02972930297255516,
-0.04015206918120384,
0.04303186386823654,
-0.026376446709036827,
-0.033190011978149414,
-0.002652427414432168,
0.013353897258639336,
-0.02057788334786892,
-0.028955215588212013,
-0.024748999625444412,
0.03367546200752258,
-0.03648067265748978,
-0.06826871633529663,
0.040832825005054474,
0.03998859226703644,
-0.11123304069042206,
-0.045378390699625015,
-0.07075232267379761,
0.07383473217487335,
0.05729985609650612,
-0.05439144745469093,
0.006383046507835388,
-0.02502277120947838,
0.10782570391893387,
-0.048029858618974686,
-0.09099587798118591,
0.033081091940402985,
-0.02844359166920185,
-0.01756696216762066,
0.06213703006505966,
0.00943912286311388,
0.06327524781227112,
0.03175404667854309,
-0.05329231545329094,
0.031934965401887894,
-0.02901979722082615,
-0.017548715695738792,
0.009932129643857479,
0.06323950737714767,
-0.021207144483923912,
-0.06317038834095001,
-0.022805267944931984,
0.013752896338701248,
0.050758495926856995,
-0.007157681975513697,
-0.02065272629261017,
-0.02521522343158722,
-0.0031446991488337517,
-0.05471549555659294,
-0.04258699342608452,
0.022348320111632347,
0.013671068474650383,
-0.017119448632001877,
-0.029360711574554443,
0.02836153656244278,
-0.12890219688415527,
0.0029905412811785936,
-0.0789131373167038,
-0.0552108995616436,
0.06982661038637161,
0.03361407294869423,
-0.11047250032424927,
-3.599956224839056e-33,
-0.04179736226797104,
-0.001204269239678979,
-0.019203288480639458,
0.046795327216386795,
-0.010155468247830868,
0.022263020277023315,
-0.0003613442531786859,
-0.07469548285007477,
-0.09135086089372635,
-0.00791714433580637,
-0.035394683480262756,
-0.034904055297374725,
-0.008527754805982113,
0.04048182815313339,
-0.02690728008747101,
-0.10511674731969833,
0.013522378169000149,
0.008612065576016903,
0.07346336543560028,
0.008044183254241943,
0.06571769714355469,
0.023309754207730293,
-0.031157106161117554,
-0.00996268168091774,
0.011563473381102085,
0.04203049838542938,
-0.035218946635723114,
0.13265526294708252,
0.013484480790793896,
-0.030355943366885185,
-0.07661791145801544,
-0.0075350976549088955,
0.07763899862766266,
-0.023307347670197487,
0.02614552713930607,
0.04405292496085167,
0.04659804701805115,
-0.02147803083062172,
0.04206741973757744,
0.004706979263573885,
0.02572115696966648,
0.012986846268177032,
-0.026894716545939445,
-0.0013008107198402286,
0.051939480006694794,
-0.009698000736534595,
-0.04433995857834816,
0.07107385247945786,
-0.11497312039136887,
-0.05326969176530838,
0.02873607911169529,
0.0745382010936737,
-0.01760626956820488,
0.04498851299285889,
-0.01967402920126915,
0.06393980979919434,
0.03915456309914589,
-0.062144480645656586,
0.0964648500084877,
0.06526869535446167,
-0.08755253255367279,
0.044903144240379333,
-0.0027794837951660156,
0.020563926547765732,
-0.031478192657232285,
0.01881912350654602,
-0.0019153032917529345,
0.023642931133508682,
0.06911364942789078,
-0.005722855683416128,
0.06661316752433777,
-0.025129064917564392,
0.038118790835142136,
0.019560839980840683,
0.040797311812639236,
-0.0031864652410149574,
-0.0597672313451767,
-0.04090140014886856,
0.027041124179959297,
-0.04937770217657089,
-0.04618869349360466,
-0.06906037032604218,
0.061063654720783234,
0.0347522608935833,
-0.1074107214808464,
0.09341618418693542,
-0.10581059008836746,
-0.011983505450189114,
0.0015288048889487982,
-0.007135673891752958,
-0.017000572755932808,
0.002249559387564659,
-0.009777081198990345,
0.014278513379395008,
-0.04729209840297699,
-5.463621377543859e-8,
-0.09697183966636658,
0.10945919901132584,
0.10623155534267426,
-0.041299931704998016,
0.11294181644916534,
0.06838304549455643,
0.10412099212408066,
-0.11932571977376938,
-0.046896569430828094,
-0.057160571217536926,
0.045021411031484604,
-0.036602046340703964,
0.060480259358882904,
0.028855660930275917,
-0.002543817041441798,
0.03758417069911957,
-0.013368899002671242,
0.06405950337648392,
-0.039015501737594604,
-0.042320627719163895,
0.04543197900056839,
-0.01183076947927475,
-0.05148017406463623,
-0.03366604819893837,
0.04468256235122681,
-0.0023651416413486004,
-0.0975593850016594,
0.08622106909751892,
0.025643035769462585,
0.0024927486665546894,
0.025028329342603683,
0.07279054820537567,
-0.025861302390694618,
0.02103281207382679,
0.06831782311201096,
0.01263705175369978,
0.05667412281036377,
-0.04386605694890022,
0.0090926643460989,
-0.03573799133300781,
-0.02198808267712593,
0.0691269114613533,
-0.050347454845905304,
0.06556729972362518,
0.021353239193558693,
0.044943567365407944,
-0.045681942254304886,
-0.04149201512336731,
0.04729681834578514,
0.023505674675107002,
0.0181423407047987,
-0.028977133333683014,
-0.0048941923305392265,
0.10804707556962967,
0.049767300486564636,
0.05919123813509941,
-0.007936377078294754,
-0.025701303035020828,
-0.014962572604417801,
0.04636469855904579,
0.056855976581573486,
0.03528060019016266,
-0.0876503437757492,
-0.021200763061642647
] |
1402.3023
|
Martin Mosquera
|
Martin A. Mosquera, Adam Wasserman
|
Integer Discontinuity of Density Functional Theory
|
5 pages, 2 figures
| null |
10.1103/PhysRevA.89.052506
| null |
physics.chem-ph
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
Density functional approximations to the exchange-correlation energy of
Kohn-Sham theory, such as the local density approximation and generalized
gradient approximations, lack the well-known integer discontinuity, a feature
that is critical to describe molecular dissociation correctly. Moreover,
standard approximations to the exchange-correlation energy also fail to yield
the correct linear dependence of the ground-state energy on the number of
electrons when this is a non-integer number obtained from the grand canonical
ensemble statistics. We present a formal framework to restore the integer
discontinuity of any density functional approximation. Our formalism derives
from a formula for the exact energy functional and a new constrained search
functional that recovers the linear dependence of the energy on the number of
electrons.
|
[
{
"created": "Thu, 13 Feb 2014 03:05:17 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Mosquera",
"Martin A.",
""
],
[
"Wasserman",
"Adam",
""
]
] |
[
-0.059210941195487976,
0.006819754373282194,
0.034814849495887756,
0.10643324255943298,
-0.002292031655088067,
0.0149404127150774,
0.03484327346086502,
-0.01196153275668621,
0.03129122778773308,
-0.027700623497366905,
-0.05411234125494957,
-0.027410781010985374,
-0.016993481665849686,
0.04373196139931679,
0.018058443441987038,
-0.061764661222696304,
-0.012906961143016815,
0.040014080703258514,
-0.02627287246286869,
0.05878942087292671,
-0.017825789749622345,
0.03689093515276909,
0.014064468443393707,
-0.01802840456366539,
0.11032477766275406,
-0.05884174630045891,
0.04934437572956085,
0.01709653250873089,
-0.019752871245145798,
0.01416887529194355,
0.12425971031188965,
-0.020488498732447624,
-0.023275822401046753,
-0.020784568041563034,
0.0018991760443896055,
0.06060797721147537,
-0.04809679836034775,
0.013991941697895527,
0.03470134735107422,
0.022200625389814377,
-0.011569473892450333,
0.11236942559480667,
0.03825899958610535,
-0.015182592906057835,
0.004044792614877224,
-0.057470761239528656,
0.01735709048807621,
-0.04434003308415413,
-0.0408255010843277,
-0.08583810180425644,
0.12706799805164337,
0.0966656282544136,
-0.02759469300508499,
0.0566110722720623,
0.00761204631999135,
0.01985086500644684,
-0.020370200276374817,
-0.060698751360177994,
-0.011184465140104294,
-0.0008273677667602897,
0.04101128131151199,
0.01755218766629696,
-0.019448695704340935,
-0.020233111456036568,
0.1205168142914772,
-0.06188351288437843,
0.10923992097377777,
-0.045596007257699966,
0.05595887452363968,
0.0681980699300766,
-0.10367920249700546,
0.022179991006851196,
-0.034930553287267685,
-0.02215573564171791,
0.05152535066008568,
0.03591016307473183,
0.004853744991123676,
0.00047661192365922034,
0.039866238832473755,
-0.029399408027529716,
-0.05942166969180107,
0.056594524532556534,
0.03712840378284454,
-0.06922078132629395,
0.08343064785003662,
0.045362841337919235,
-0.09240846335887909,
0.034353215247392654,
0.04289009049534798,
-0.09127294272184372,
-0.03569590300321579,
0.0029679059516638517,
-0.03866054490208626,
0.02194586955010891,
0.022698665037751198,
0.012710501439869404,
0.05712564289569855,
0.003974297549575567,
0.05428497865796089,
0.04132958874106407,
0.02941644936800003,
0.04650503396987915,
0.0021783686242997646,
-0.07633093744516373,
-0.02911640703678131,
-0.045538607984781265,
0.029874630272388458,
0.09626855701208115,
-0.08628173917531967,
0.042497169226408005,
0.02671675942838192,
-0.08382728695869446,
0.040518105030059814,
0.018954088911414146,
-0.08571253716945648,
0.06785933673381805,
0.009035603143274784,
-0.01025845855474472,
0.033942852169275284,
-0.002141599077731371,
-0.04707114398479462,
-0.029706373810768127,
-0.06664696335792542,
0.05710456520318985,
-0.06061503663659096,
0.08412081748247147,
-0.06316453218460083,
2.964809351947415e-34,
0.10372888296842575,
-0.06610886752605438,
0.07145749032497406,
0.04081716760993004,
0.037375837564468384,
0.008809550665318966,
0.002722494537010789,
-0.044959865510463715,
-0.07822538167238235,
0.050630535930395126,
-0.0514385960996151,
0.09148617088794708,
0.04369702562689781,
-0.013102403841912746,
-0.03744759038090706,
0.03647061809897423,
-0.004250012803822756,
0.020360229536890984,
0.05640421435236931,
-0.06272879987955093,
0.067316435277462,
0.030158616602420807,
-0.03236156702041626,
0.06220730394124985,
-0.00492384796962142,
0.06770378351211548,
0.015185386873781681,
-0.021698342636227608,
-0.05601825192570686,
0.022102385759353638,
-0.05968425050377846,
0.004099368117749691,
-0.02103375643491745,
0.013394546695053577,
0.028525028377771378,
-0.05105476826429367,
-0.0698341354727745,
-0.024507654830813408,
-0.015047198161482811,
-0.06936082243919373,
-0.0064071714878082275,
0.0355604812502861,
-0.03331773355603218,
-0.046155162155628204,
-0.0404617041349411,
0.05386453866958618,
0.16525620222091675,
-0.009903792291879654,
-0.015990395098924637,
-0.01695234328508377,
0.0022476522717624903,
0.01267312839627266,
-0.02719377726316452,
0.034460801631212234,
-0.029209105297923088,
-0.029025044292211533,
0.04900909587740898,
0.035168055444955826,
0.06061450019478798,
0.045900579541921616,
-0.029173308983445168,
0.10284547507762909,
0.0004556724743451923,
-0.017965976148843765,
-0.011183523572981358,
0.003981226123869419,
-0.0836673304438591,
-0.028235359117388725,
0.023981066420674324,
0.0226439218968153,
0.02250892110168934,
0.10772067308425903,
0.037515509873628616,
-0.09779921919107437,
0.11537851393222809,
-0.009613331407308578,
-0.009773993864655495,
-0.13033261895179749,
-0.004515491891652346,
-0.01278725266456604,
0.014676528051495552,
-0.025985678657889366,
-0.001828294130973518,
-0.0007665054290555418,
-0.05438651889562607,
-0.12569208443164825,
-0.09265705943107605,
-0.018580494448542595,
-0.014359335415065289,
-0.042850274592638016,
-0.004676046781241894,
-0.09200719743967056,
0.04244003817439079,
-0.08091499656438828,
-0.021200450137257576,
-1.682041498885497e-33,
-0.05683530122041702,
-0.018197419121861458,
0.016473550349473953,
-0.028320301324129105,
-0.01390405185520649,
-0.0014684281777590513,
-0.03263319656252861,
-0.017905425280332565,
0.07120347768068314,
-0.04404269531369209,
0.04628462344408035,
0.021232666447758675,
0.017946818843483925,
0.042388807982206345,
0.0024184284266084433,
0.004562423564493656,
-0.06692198663949966,
0.059666480869054794,
0.11502745002508163,
0.0780242383480072,
0.04365717992186546,
-0.030088253319263458,
-0.023613186553120613,
0.028135299682617188,
0.02695745974779129,
0.001823105732910335,
-0.005369696766138077,
0.0171984676271677,
0.024948246777057648,
0.07467154413461685,
-0.008019951172173023,
0.004710027482360601,
-0.0937558114528656,
0.0184728242456913,
-0.11179535835981369,
-0.0420040525496006,
-0.02744673565030098,
0.07021743059158325,
-0.08674930781126022,
0.05934355780482292,
-0.011818118393421173,
-0.03705572336912155,
0.04405920207500458,
0.02174600027501583,
0.1544407606124878,
-0.03938811272382736,
0.008927326649427414,
-0.024283533915877342,
-0.033089056611061096,
-0.033457644283771515,
0.03704692795872688,
0.005088223144412041,
-0.05320102721452713,
0.018971223384141922,
-0.057823874056339264,
0.06221228465437889,
-0.00873903464525938,
0.03980960324406624,
0.06586769968271255,
-0.08280151337385178,
-0.027024274691939354,
-0.0648559182882309,
0.027542952448129654,
0.09170503169298172,
-0.06989022344350815,
-0.030254637822508812,
-0.05157773941755295,
-0.014082762412726879,
0.025515273213386536,
-0.004978037904947996,
-0.0429820716381073,
-0.040611617267131805,
0.08325854688882828,
0.032576534897089005,
-0.009974504821002483,
-0.05350424721837044,
0.0801825225353241,
-0.07921736687421799,
0.03235935792326927,
0.09033026546239853,
0.001016736263409257,
0.059563927352428436,
0.04054783284664154,
-0.04741400107741356,
0.07743018120527267,
-0.03129727765917778,
-0.02547663077712059,
0.04699148237705231,
-0.02406907267868519,
-0.0717591643333435,
-0.017284449189901352,
-0.021874913945794106,
0.05848785862326622,
0.000917925382964313,
-0.0371902734041214,
-4.386470919826024e-8,
0.07378332316875458,
-0.02756107971072197,
-0.02760700322687626,
-0.0058384365402162075,
0.05938882380723953,
0.09192062169313431,
0.01892700232565403,
-0.06704667955636978,
0.054075587540864944,
0.0030728974379599094,
0.11375444382429123,
-0.032870832830667496,
0.035246387124061584,
-0.04330480471253395,
-0.014161733910441399,
-0.02689496800303459,
0.004533243365585804,
0.005894719623029232,
-0.05261644721031189,
0.02695533260703087,
0.023574968799948692,
0.02316398173570633,
0.02600463666021824,
-0.007146190851926804,
0.05269728600978851,
-0.02695920690894127,
-0.047884710133075714,
-0.03230484202504158,
-0.04665857553482056,
-0.012177030555903912,
-0.054981257766485214,
0.017904970794916153,
0.06153753399848938,
0.08300428092479706,
-0.02729956991970539,
0.033859290182590485,
-0.03331422433257103,
0.04229900985956192,
-0.07588059455156326,
-0.017856672406196594,
-0.0036299501080065966,
-0.055439483374357224,
0.021471422165632248,
0.037290122359991074,
0.03640460595488548,
0.0392242968082428,
-0.029730379581451416,
0.00020439017680473626,
0.048594579100608826,
-0.011105419136583805,
-0.018790164962410927,
0.03224830701947212,
-0.10121794044971466,
0.011698825284838676,
-0.04726068302989006,
-0.028044480830430984,
-0.1499704271554947,
-0.05577527731657028,
-0.06187012419104576,
-0.04839075729250908,
0.01325542014092207,
0.003991648554801941,
-0.08687835186719894,
-0.017192203551530838
] | null | null | null | null | null | null | null |
[
-0.059210941195487976,
0.006819754373282194,
0.034814849495887756,
0.10643324255943298,
-0.002292031655088067,
0.0149404127150774,
0.03484327346086502,
-0.01196153275668621,
0.03129122778773308,
-0.027700623497366905,
-0.05411234125494957,
-0.027410781010985374,
-0.016993481665849686,
0.04373196139931679,
0.018058443441987038,
-0.061764661222696304,
-0.012906961143016815,
0.040014080703258514,
-0.02627287246286869,
0.05878942087292671,
-0.017825789749622345,
0.03689093515276909,
0.014064468443393707,
-0.01802840456366539,
0.11032477766275406,
-0.05884174630045891,
0.04934437572956085,
0.01709653250873089,
-0.019752871245145798,
0.01416887529194355,
0.12425971031188965,
-0.020488498732447624,
-0.023275822401046753,
-0.020784568041563034,
0.0018991760443896055,
0.06060797721147537,
-0.04809679836034775,
0.013991941697895527,
0.03470134735107422,
0.022200625389814377,
-0.011569473892450333,
0.11236942559480667,
0.03825899958610535,
-0.015182592906057835,
0.004044792614877224,
-0.057470761239528656,
0.01735709048807621,
-0.04434003308415413,
-0.0408255010843277,
-0.08583810180425644,
0.12706799805164337,
0.0966656282544136,
-0.02759469300508499,
0.0566110722720623,
0.00761204631999135,
0.01985086500644684,
-0.020370200276374817,
-0.060698751360177994,
-0.011184465140104294,
-0.0008273677667602897,
0.04101128131151199,
0.01755218766629696,
-0.019448695704340935,
-0.020233111456036568,
0.1205168142914772,
-0.06188351288437843,
0.10923992097377777,
-0.045596007257699966,
0.05595887452363968,
0.0681980699300766,
-0.10367920249700546,
0.022179991006851196,
-0.034930553287267685,
-0.02215573564171791,
0.05152535066008568,
0.03591016307473183,
0.004853744991123676,
0.00047661192365922034,
0.039866238832473755,
-0.029399408027529716,
-0.05942166969180107,
0.056594524532556534,
0.03712840378284454,
-0.06922078132629395,
0.08343064785003662,
0.045362841337919235,
-0.09240846335887909,
0.034353215247392654,
0.04289009049534798,
-0.09127294272184372,
-0.03569590300321579,
0.0029679059516638517,
-0.03866054490208626,
0.02194586955010891,
0.022698665037751198,
0.012710501439869404,
0.05712564289569855,
0.003974297549575567,
0.05428497865796089,
0.04132958874106407,
0.02941644936800003,
0.04650503396987915,
0.0021783686242997646,
-0.07633093744516373,
-0.02911640703678131,
-0.045538607984781265,
0.029874630272388458,
0.09626855701208115,
-0.08628173917531967,
0.042497169226408005,
0.02671675942838192,
-0.08382728695869446,
0.040518105030059814,
0.018954088911414146,
-0.08571253716945648,
0.06785933673381805,
0.009035603143274784,
-0.01025845855474472,
0.033942852169275284,
-0.002141599077731371,
-0.04707114398479462,
-0.029706373810768127,
-0.06664696335792542,
0.05710456520318985,
-0.06061503663659096,
0.08412081748247147,
-0.06316453218460083,
2.964809351947415e-34,
0.10372888296842575,
-0.06610886752605438,
0.07145749032497406,
0.04081716760993004,
0.037375837564468384,
0.008809550665318966,
0.002722494537010789,
-0.044959865510463715,
-0.07822538167238235,
0.050630535930395126,
-0.0514385960996151,
0.09148617088794708,
0.04369702562689781,
-0.013102403841912746,
-0.03744759038090706,
0.03647061809897423,
-0.004250012803822756,
0.020360229536890984,
0.05640421435236931,
-0.06272879987955093,
0.067316435277462,
0.030158616602420807,
-0.03236156702041626,
0.06220730394124985,
-0.00492384796962142,
0.06770378351211548,
0.015185386873781681,
-0.021698342636227608,
-0.05601825192570686,
0.022102385759353638,
-0.05968425050377846,
0.004099368117749691,
-0.02103375643491745,
0.013394546695053577,
0.028525028377771378,
-0.05105476826429367,
-0.0698341354727745,
-0.024507654830813408,
-0.015047198161482811,
-0.06936082243919373,
-0.0064071714878082275,
0.0355604812502861,
-0.03331773355603218,
-0.046155162155628204,
-0.0404617041349411,
0.05386453866958618,
0.16525620222091675,
-0.009903792291879654,
-0.015990395098924637,
-0.01695234328508377,
0.0022476522717624903,
0.01267312839627266,
-0.02719377726316452,
0.034460801631212234,
-0.029209105297923088,
-0.029025044292211533,
0.04900909587740898,
0.035168055444955826,
0.06061450019478798,
0.045900579541921616,
-0.029173308983445168,
0.10284547507762909,
0.0004556724743451923,
-0.017965976148843765,
-0.011183523572981358,
0.003981226123869419,
-0.0836673304438591,
-0.028235359117388725,
0.023981066420674324,
0.0226439218968153,
0.02250892110168934,
0.10772067308425903,
0.037515509873628616,
-0.09779921919107437,
0.11537851393222809,
-0.009613331407308578,
-0.009773993864655495,
-0.13033261895179749,
-0.004515491891652346,
-0.01278725266456604,
0.014676528051495552,
-0.025985678657889366,
-0.001828294130973518,
-0.0007665054290555418,
-0.05438651889562607,
-0.12569208443164825,
-0.09265705943107605,
-0.018580494448542595,
-0.014359335415065289,
-0.042850274592638016,
-0.004676046781241894,
-0.09200719743967056,
0.04244003817439079,
-0.08091499656438828,
-0.021200450137257576,
-1.682041498885497e-33,
-0.05683530122041702,
-0.018197419121861458,
0.016473550349473953,
-0.028320301324129105,
-0.01390405185520649,
-0.0014684281777590513,
-0.03263319656252861,
-0.017905425280332565,
0.07120347768068314,
-0.04404269531369209,
0.04628462344408035,
0.021232666447758675,
0.017946818843483925,
0.042388807982206345,
0.0024184284266084433,
0.004562423564493656,
-0.06692198663949966,
0.059666480869054794,
0.11502745002508163,
0.0780242383480072,
0.04365717992186546,
-0.030088253319263458,
-0.023613186553120613,
0.028135299682617188,
0.02695745974779129,
0.001823105732910335,
-0.005369696766138077,
0.0171984676271677,
0.024948246777057648,
0.07467154413461685,
-0.008019951172173023,
0.004710027482360601,
-0.0937558114528656,
0.0184728242456913,
-0.11179535835981369,
-0.0420040525496006,
-0.02744673565030098,
0.07021743059158325,
-0.08674930781126022,
0.05934355780482292,
-0.011818118393421173,
-0.03705572336912155,
0.04405920207500458,
0.02174600027501583,
0.1544407606124878,
-0.03938811272382736,
0.008927326649427414,
-0.024283533915877342,
-0.033089056611061096,
-0.033457644283771515,
0.03704692795872688,
0.005088223144412041,
-0.05320102721452713,
0.018971223384141922,
-0.057823874056339264,
0.06221228465437889,
-0.00873903464525938,
0.03980960324406624,
0.06586769968271255,
-0.08280151337385178,
-0.027024274691939354,
-0.0648559182882309,
0.027542952448129654,
0.09170503169298172,
-0.06989022344350815,
-0.030254637822508812,
-0.05157773941755295,
-0.014082762412726879,
0.025515273213386536,
-0.004978037904947996,
-0.0429820716381073,
-0.040611617267131805,
0.08325854688882828,
0.032576534897089005,
-0.009974504821002483,
-0.05350424721837044,
0.0801825225353241,
-0.07921736687421799,
0.03235935792326927,
0.09033026546239853,
0.001016736263409257,
0.059563927352428436,
0.04054783284664154,
-0.04741400107741356,
0.07743018120527267,
-0.03129727765917778,
-0.02547663077712059,
0.04699148237705231,
-0.02406907267868519,
-0.0717591643333435,
-0.017284449189901352,
-0.021874913945794106,
0.05848785862326622,
0.000917925382964313,
-0.0371902734041214,
-4.386470919826024e-8,
0.07378332316875458,
-0.02756107971072197,
-0.02760700322687626,
-0.0058384365402162075,
0.05938882380723953,
0.09192062169313431,
0.01892700232565403,
-0.06704667955636978,
0.054075587540864944,
0.0030728974379599094,
0.11375444382429123,
-0.032870832830667496,
0.035246387124061584,
-0.04330480471253395,
-0.014161733910441399,
-0.02689496800303459,
0.004533243365585804,
0.005894719623029232,
-0.05261644721031189,
0.02695533260703087,
0.023574968799948692,
0.02316398173570633,
0.02600463666021824,
-0.007146190851926804,
0.05269728600978851,
-0.02695920690894127,
-0.047884710133075714,
-0.03230484202504158,
-0.04665857553482056,
-0.012177030555903912,
-0.054981257766485214,
0.017904970794916153,
0.06153753399848938,
0.08300428092479706,
-0.02729956991970539,
0.033859290182590485,
-0.03331422433257103,
0.04229900985956192,
-0.07588059455156326,
-0.017856672406196594,
-0.0036299501080065966,
-0.055439483374357224,
0.021471422165632248,
0.037290122359991074,
0.03640460595488548,
0.0392242968082428,
-0.029730379581451416,
0.00020439017680473626,
0.048594579100608826,
-0.011105419136583805,
-0.018790164962410927,
0.03224830701947212,
-0.10121794044971466,
0.011698825284838676,
-0.04726068302989006,
-0.028044480830430984,
-0.1499704271554947,
-0.05577527731657028,
-0.06187012419104576,
-0.04839075729250908,
0.01325542014092207,
0.003991648554801941,
-0.08687835186719894,
-0.017192203551530838
] |
1402.3032
|
Ziming Zhang
|
Ziming Zhang
|
Regularization for Multiple Kernel Learning via Sum-Product Networks
| null | null | null | null |
stat.ML cs.LG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we are interested in constructing general graph-based
regularizers for multiple kernel learning (MKL) given a structure which is used
to describe the way of combining basis kernels. Such structures are represented
by sum-product networks (SPNs) in our method. Accordingly we propose a new
convex regularization method for MLK based on a path-dependent kernel weighting
function which encodes the entire SPN structure in our method. Under certain
conditions and from the view of probability, this function can be considered to
follow multinomial distributions over the weights associated with product nodes
in SPNs. We also analyze the convexity of our regularizer and the complexity of
our induced classifiers, and further propose an efficient wrapper algorithm to
optimize our formulation. In our experiments, we apply our method to ......
|
[
{
"created": "Thu, 13 Feb 2014 05:06:53 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Zhang",
"Ziming",
""
]
] |
[
0.0015038690762594342,
-0.0748508870601654,
0.024924106895923615,
-0.04391743987798691,
0.0777834951877594,
0.0069097974337637424,
0.03373168408870697,
-0.03649815917015076,
-0.03640996292233467,
-0.026155969128012657,
-0.051023706793785095,
0.01978573203086853,
0.025419360026717186,
0.03333623707294464,
-0.043823834508657455,
0.04549669846892357,
-0.009005790576338768,
0.10324760526418686,
-0.0582662895321846,
0.016098912805318832,
-0.002391526009887457,
-0.029006050899624825,
-0.03572600707411766,
-0.022772103548049927,
0.04819796606898308,
-0.0014544182922691107,
0.08971495181322098,
0.03633822128176689,
-0.017889227718114853,
0.0013836304424330592,
0.014269872568547726,
-0.015834301710128784,
0.017762450501322746,
-0.00795956701040268,
-0.06103768199682236,
0.007057073060423136,
-0.07809247076511383,
0.08301468938589096,
-0.0001588423183420673,
0.016721194609999657,
0.05901501700282097,
-0.0022795479744672775,
0.02504131570458412,
0.031275272369384766,
0.07649172842502594,
0.09662701934576035,
-0.07605317234992981,
-0.06034954637289047,
0.08866243064403534,
0.024213882163167,
-0.028753478080034256,
-0.01163289975374937,
-0.1049858033657074,
0.03386067599058151,
0.03865521401166916,
-0.09181930124759674,
-0.06469069421291351,
0.0074021462351083755,
0.00827682577073574,
0.0628122016787529,
0.048708438873291016,
-0.13055633008480072,
-0.032242145389318466,
0.005064648110419512,
0.04127877205610275,
0.014514219015836716,
0.0138246426358819,
0.025881469249725342,
-0.014819478616118431,
0.026199478656053543,
-0.016226669773459435,
0.07032833248376846,
-0.07636197656393051,
0.08819729834794998,
0.003614772344008088,
0.08110290765762329,
0.0563817098736763,
0.013222082518041134,
-0.024916591122746468,
-0.031225915998220444,
-0.027968110516667366,
0.07181856036186218,
0.05314607173204422,
-0.04121942073106766,
0.11374375224113464,
0.02715505100786686,
-0.06885704398155212,
-0.05527180805802345,
0.055892858654260635,
0.07783005386590958,
-0.03707960620522499,
0.02636761963367462,
0.015175933949649334,
-0.01346663013100624,
-0.15265929698944092,
-0.028196590021252632,
0.008938435465097427,
-0.037739336490631104,
0.04240310192108154,
0.13412681221961975,
-0.06116187572479248,
-0.046661727130413055,
0.04181511327624321,
-0.0028471373952925205,
0.043111588805913925,
0.0081936065107584,
-0.06148277595639229,
0.01920402981340885,
0.07862908393144608,
-0.09272990375757217,
0.007706318516284227,
0.05654428154230118,
-0.07835814356803894,
0.07238244265317917,
-0.027029553428292274,
-0.09145263582468033,
0.050055187195539474,
0.02295573614537716,
0.07306796312332153,
0.059834547340869904,
-0.05557483807206154,
0.03514476865530014,
0.024063367396593094,
-0.11363760381937027,
-0.027316754683852196,
-0.03333510458469391,
-0.0248099435120821,
2.429757154642986e-34,
0.0018010897329077125,
0.0316612645983696,
-0.022717377170920372,
0.010568622499704361,
-0.00648493692278862,
0.03916294872760773,
-0.02793947234749794,
-0.06743081659078598,
0.07240113615989685,
-0.024694418534636497,
-0.004722145851701498,
-0.03231194242835045,
-0.04078583046793938,
0.07959382981061935,
0.021101949736475945,
0.05289313942193985,
0.033524997532367706,
-0.0028257158119231462,
0.04144115373492241,
-0.13107384741306305,
-0.024837350472807884,
-0.038329917937517166,
0.013156096450984478,
0.01502637192606926,
-0.011521424166858196,
-0.014626437798142433,
0.0658954381942749,
-0.02206140197813511,
0.034628912806510925,
-0.01411388162523508,
-0.023816345259547234,
0.014400712214410305,
0.04221516475081444,
-0.00970485620200634,
-0.006231450941413641,
-0.003067809622734785,
0.02049734629690647,
-0.013903926126658916,
0.019303398206830025,
-0.03887791186571121,
-0.08199717849493027,
-0.057312823832035065,
0.035733167082071304,
-0.05650674179196358,
-0.0588468573987484,
0.00023209917708300054,
-0.06272362917661667,
-0.05027616024017334,
-0.003440086031332612,
-0.08764675259590149,
-0.018176885321736336,
-0.08316304534673691,
0.05053330585360527,
0.0023019551299512386,
0.022280225530266762,
0.026872074231505394,
-0.0011121262796223164,
0.0588245764374733,
0.06609076261520386,
0.05358874052762985,
-0.07906349003314972,
0.08713854849338531,
0.03848879411816597,
0.025848207995295525,
-0.0011015983764082193,
0.023822691291570663,
0.04387480020523071,
-0.06431914120912552,
0.02368972636759281,
-0.04857984557747841,
0.017840202897787094,
0.11101323366165161,
0.014287721365690231,
-0.06292084604501724,
-0.016167383641004562,
0.038097020238637924,
0.017673594877123833,
-0.01448809914290905,
0.016295425593852997,
0.05849800631403923,
-0.010071025229990482,
0.028150351718068123,
0.05533171445131302,
-0.06677941232919693,
-0.018311643972992897,
-0.0043901014141738415,
-0.02763124369084835,
-0.08031526207923889,
-0.02219804935157299,
0.01194018218666315,
-0.054702889174222946,
0.03859970346093178,
-0.056643761694431305,
0.043729547411203384,
-0.009673581458628178,
2.287627949014071e-34,
-0.009954044595360756,
0.06196552515029907,
0.05347859859466553,
0.02707095257937908,
-0.0055753611959517,
0.006170978303998709,
-0.11597666144371033,
-0.01288698147982359,
-0.044169116765260696,
0.006719646044075489,
0.01733441837131977,
-0.10861551016569138,
0.0674782395362854,
-0.04172087088227272,
0.000948153727222234,
0.06256745010614395,
-0.07093338668346405,
0.0624910332262516,
-0.016372771933674812,
0.008454674854874611,
-0.023935750126838684,
0.09505969285964966,
-0.05857611075043678,
0.07223307341337204,
0.07340839505195618,
-0.026196734979748726,
-0.039693668484687805,
0.13331297039985657,
0.01902337186038494,
0.015521319583058357,
0.03296636417508125,
-0.10146153718233109,
0.024759715422987938,
-0.02874073013663292,
0.043067485094070435,
0.003426395123824477,
-0.027228787541389465,
0.015298481099307537,
0.033611755818128586,
0.0316559337079525,
-0.05289885401725769,
-0.010954223573207855,
-0.08619952946901321,
-0.06407853960990906,
-0.050608206540346146,
-0.036810070276260376,
0.023974118754267693,
-0.03893950581550598,
-0.005201453343033791,
-0.045203521847724915,
-0.05571223795413971,
0.03750621899962425,
-0.07749050110578537,
0.07961783558130264,
-0.06806624680757523,
-0.007180257700383663,
0.06218506768345833,
0.04781229421496391,
0.055699799209833145,
-0.08577024936676025,
-0.10616987198591232,
-0.07546283304691315,
0.07815565913915634,
0.01026472169905901,
0.013734932988882065,
-0.01187887229025364,
0.037551332265138626,
-0.040578488260507584,
-0.04191872105002403,
0.10339982062578201,
0.005642910487949848,
0.0516638420522213,
0.013550231233239174,
0.028601359575986862,
-0.016629869118332863,
-0.01412979606539011,
0.06145381182432175,
0.009530956856906414,
-0.03124454990029335,
0.020053256303071976,
0.00707370275631547,
-0.07262493669986725,
0.07110681384801865,
0.0592644102871418,
0.0730452910065651,
0.03862254321575165,
0.07369446754455566,
0.06499068439006805,
0.08125743269920349,
-0.03058627061545849,
0.08384121209383011,
0.049048736691474915,
0.009610814973711967,
0.07684680074453354,
-0.033325087279081345,
-4.4711370605909906e-8,
-0.06827091425657272,
-0.03294134512543678,
-0.032675597816705704,
-0.016522176563739777,
0.10135769844055176,
-0.02570081315934658,
0.09088591486215591,
0.11628393828868866,
-0.11177385598421097,
-0.021220076829195023,
0.01203827653080225,
0.0008359872736036777,
-0.04616747424006462,
-0.04823371767997742,
0.012974045239388943,
-0.010423654690384865,
-0.023738566786050797,
0.109373539686203,
0.02774716354906559,
0.016274264082312584,
0.011679836548864841,
-0.04144362732768059,
0.07448465377092361,
0.013052293099462986,
0.026334339752793312,
-0.07345115393400192,
-0.0007996513741090894,
-0.01817137934267521,
0.023588137701153755,
0.03258043900132179,
-0.06683791428804398,
0.033675264567136765,
-0.04077405110001564,
0.031074516475200653,
0.002363292034715414,
0.09627078473567963,
0.03790669143199921,
-0.03429718688130379,
-0.12447702884674072,
0.10672975331544876,
-0.010393691249191761,
0.040955569595098495,
-0.014172849245369434,
0.024053998291492462,
0.0457952655851841,
-0.020029209554195404,
-0.0037606796249747276,
-0.028791261836886406,
0.018969276919960976,
-0.020180877298116684,
0.06795624643564224,
-0.03495971858501434,
0.020552795380353928,
-0.020195651799440384,
0.022728465497493744,
0.03764145448803902,
-0.011184679344296455,
-0.04459202289581299,
0.014896536245942116,
0.01797480136156082,
-0.02305009216070175,
-0.06427562236785889,
-0.041875362396240234,
0.01064268033951521
] | null | null | null | null | null | null | null |
[
0.0015038690762594342,
-0.0748508870601654,
0.024924106895923615,
-0.04391743987798691,
0.0777834951877594,
0.0069097974337637424,
0.03373168408870697,
-0.03649815917015076,
-0.03640996292233467,
-0.026155969128012657,
-0.051023706793785095,
0.01978573203086853,
0.025419360026717186,
0.03333623707294464,
-0.043823834508657455,
0.04549669846892357,
-0.009005790576338768,
0.10324760526418686,
-0.0582662895321846,
0.016098912805318832,
-0.002391526009887457,
-0.029006050899624825,
-0.03572600707411766,
-0.022772103548049927,
0.04819796606898308,
-0.0014544182922691107,
0.08971495181322098,
0.03633822128176689,
-0.017889227718114853,
0.0013836304424330592,
0.014269872568547726,
-0.015834301710128784,
0.017762450501322746,
-0.00795956701040268,
-0.06103768199682236,
0.007057073060423136,
-0.07809247076511383,
0.08301468938589096,
-0.0001588423183420673,
0.016721194609999657,
0.05901501700282097,
-0.0022795479744672775,
0.02504131570458412,
0.031275272369384766,
0.07649172842502594,
0.09662701934576035,
-0.07605317234992981,
-0.06034954637289047,
0.08866243064403534,
0.024213882163167,
-0.028753478080034256,
-0.01163289975374937,
-0.1049858033657074,
0.03386067599058151,
0.03865521401166916,
-0.09181930124759674,
-0.06469069421291351,
0.0074021462351083755,
0.00827682577073574,
0.0628122016787529,
0.048708438873291016,
-0.13055633008480072,
-0.032242145389318466,
0.005064648110419512,
0.04127877205610275,
0.014514219015836716,
0.0138246426358819,
0.025881469249725342,
-0.014819478616118431,
0.026199478656053543,
-0.016226669773459435,
0.07032833248376846,
-0.07636197656393051,
0.08819729834794998,
0.003614772344008088,
0.08110290765762329,
0.0563817098736763,
0.013222082518041134,
-0.024916591122746468,
-0.031225915998220444,
-0.027968110516667366,
0.07181856036186218,
0.05314607173204422,
-0.04121942073106766,
0.11374375224113464,
0.02715505100786686,
-0.06885704398155212,
-0.05527180805802345,
0.055892858654260635,
0.07783005386590958,
-0.03707960620522499,
0.02636761963367462,
0.015175933949649334,
-0.01346663013100624,
-0.15265929698944092,
-0.028196590021252632,
0.008938435465097427,
-0.037739336490631104,
0.04240310192108154,
0.13412681221961975,
-0.06116187572479248,
-0.046661727130413055,
0.04181511327624321,
-0.0028471373952925205,
0.043111588805913925,
0.0081936065107584,
-0.06148277595639229,
0.01920402981340885,
0.07862908393144608,
-0.09272990375757217,
0.007706318516284227,
0.05654428154230118,
-0.07835814356803894,
0.07238244265317917,
-0.027029553428292274,
-0.09145263582468033,
0.050055187195539474,
0.02295573614537716,
0.07306796312332153,
0.059834547340869904,
-0.05557483807206154,
0.03514476865530014,
0.024063367396593094,
-0.11363760381937027,
-0.027316754683852196,
-0.03333510458469391,
-0.0248099435120821,
2.429757154642986e-34,
0.0018010897329077125,
0.0316612645983696,
-0.022717377170920372,
0.010568622499704361,
-0.00648493692278862,
0.03916294872760773,
-0.02793947234749794,
-0.06743081659078598,
0.07240113615989685,
-0.024694418534636497,
-0.004722145851701498,
-0.03231194242835045,
-0.04078583046793938,
0.07959382981061935,
0.021101949736475945,
0.05289313942193985,
0.033524997532367706,
-0.0028257158119231462,
0.04144115373492241,
-0.13107384741306305,
-0.024837350472807884,
-0.038329917937517166,
0.013156096450984478,
0.01502637192606926,
-0.011521424166858196,
-0.014626437798142433,
0.0658954381942749,
-0.02206140197813511,
0.034628912806510925,
-0.01411388162523508,
-0.023816345259547234,
0.014400712214410305,
0.04221516475081444,
-0.00970485620200634,
-0.006231450941413641,
-0.003067809622734785,
0.02049734629690647,
-0.013903926126658916,
0.019303398206830025,
-0.03887791186571121,
-0.08199717849493027,
-0.057312823832035065,
0.035733167082071304,
-0.05650674179196358,
-0.0588468573987484,
0.00023209917708300054,
-0.06272362917661667,
-0.05027616024017334,
-0.003440086031332612,
-0.08764675259590149,
-0.018176885321736336,
-0.08316304534673691,
0.05053330585360527,
0.0023019551299512386,
0.022280225530266762,
0.026872074231505394,
-0.0011121262796223164,
0.0588245764374733,
0.06609076261520386,
0.05358874052762985,
-0.07906349003314972,
0.08713854849338531,
0.03848879411816597,
0.025848207995295525,
-0.0011015983764082193,
0.023822691291570663,
0.04387480020523071,
-0.06431914120912552,
0.02368972636759281,
-0.04857984557747841,
0.017840202897787094,
0.11101323366165161,
0.014287721365690231,
-0.06292084604501724,
-0.016167383641004562,
0.038097020238637924,
0.017673594877123833,
-0.01448809914290905,
0.016295425593852997,
0.05849800631403923,
-0.010071025229990482,
0.028150351718068123,
0.05533171445131302,
-0.06677941232919693,
-0.018311643972992897,
-0.0043901014141738415,
-0.02763124369084835,
-0.08031526207923889,
-0.02219804935157299,
0.01194018218666315,
-0.054702889174222946,
0.03859970346093178,
-0.056643761694431305,
0.043729547411203384,
-0.009673581458628178,
2.287627949014071e-34,
-0.009954044595360756,
0.06196552515029907,
0.05347859859466553,
0.02707095257937908,
-0.0055753611959517,
0.006170978303998709,
-0.11597666144371033,
-0.01288698147982359,
-0.044169116765260696,
0.006719646044075489,
0.01733441837131977,
-0.10861551016569138,
0.0674782395362854,
-0.04172087088227272,
0.000948153727222234,
0.06256745010614395,
-0.07093338668346405,
0.0624910332262516,
-0.016372771933674812,
0.008454674854874611,
-0.023935750126838684,
0.09505969285964966,
-0.05857611075043678,
0.07223307341337204,
0.07340839505195618,
-0.026196734979748726,
-0.039693668484687805,
0.13331297039985657,
0.01902337186038494,
0.015521319583058357,
0.03296636417508125,
-0.10146153718233109,
0.024759715422987938,
-0.02874073013663292,
0.043067485094070435,
0.003426395123824477,
-0.027228787541389465,
0.015298481099307537,
0.033611755818128586,
0.0316559337079525,
-0.05289885401725769,
-0.010954223573207855,
-0.08619952946901321,
-0.06407853960990906,
-0.050608206540346146,
-0.036810070276260376,
0.023974118754267693,
-0.03893950581550598,
-0.005201453343033791,
-0.045203521847724915,
-0.05571223795413971,
0.03750621899962425,
-0.07749050110578537,
0.07961783558130264,
-0.06806624680757523,
-0.007180257700383663,
0.06218506768345833,
0.04781229421496391,
0.055699799209833145,
-0.08577024936676025,
-0.10616987198591232,
-0.07546283304691315,
0.07815565913915634,
0.01026472169905901,
0.013734932988882065,
-0.01187887229025364,
0.037551332265138626,
-0.040578488260507584,
-0.04191872105002403,
0.10339982062578201,
0.005642910487949848,
0.0516638420522213,
0.013550231233239174,
0.028601359575986862,
-0.016629869118332863,
-0.01412979606539011,
0.06145381182432175,
0.009530956856906414,
-0.03124454990029335,
0.020053256303071976,
0.00707370275631547,
-0.07262493669986725,
0.07110681384801865,
0.0592644102871418,
0.0730452910065651,
0.03862254321575165,
0.07369446754455566,
0.06499068439006805,
0.08125743269920349,
-0.03058627061545849,
0.08384121209383011,
0.049048736691474915,
0.009610814973711967,
0.07684680074453354,
-0.033325087279081345,
-4.4711370605909906e-8,
-0.06827091425657272,
-0.03294134512543678,
-0.032675597816705704,
-0.016522176563739777,
0.10135769844055176,
-0.02570081315934658,
0.09088591486215591,
0.11628393828868866,
-0.11177385598421097,
-0.021220076829195023,
0.01203827653080225,
0.0008359872736036777,
-0.04616747424006462,
-0.04823371767997742,
0.012974045239388943,
-0.010423654690384865,
-0.023738566786050797,
0.109373539686203,
0.02774716354906559,
0.016274264082312584,
0.011679836548864841,
-0.04144362732768059,
0.07448465377092361,
0.013052293099462986,
0.026334339752793312,
-0.07345115393400192,
-0.0007996513741090894,
-0.01817137934267521,
0.023588137701153755,
0.03258043900132179,
-0.06683791428804398,
0.033675264567136765,
-0.04077405110001564,
0.031074516475200653,
0.002363292034715414,
0.09627078473567963,
0.03790669143199921,
-0.03429718688130379,
-0.12447702884674072,
0.10672975331544876,
-0.010393691249191761,
0.040955569595098495,
-0.014172849245369434,
0.024053998291492462,
0.0457952655851841,
-0.020029209554195404,
-0.0037606796249747276,
-0.028791261836886406,
0.018969276919960976,
-0.020180877298116684,
0.06795624643564224,
-0.03495971858501434,
0.020552795380353928,
-0.020195651799440384,
0.022728465497493744,
0.03764145448803902,
-0.011184679344296455,
-0.04459202289581299,
0.014896536245942116,
0.01797480136156082,
-0.02305009216070175,
-0.06427562236785889,
-0.041875362396240234,
0.01064268033951521
] |
1402.3034
|
Sukhpal Singh
|
Sukhpal Singh and Inderveer Chana
|
Formal Specification Language Based IaaS Cloud Workload Regression
Analysis
|
6 Pages including 2 figures, Published by IEEE Joint Chapter of
IE/PEL/CS under IEEE UP section
|
Presented in the IEEE International Conference on Control,
Computing, Communication and Materials (ICCCCM-2013) held at UIT, Allahabad,
India on August 03-04, 2013
|
10.1109/ICCCCM.2013.6648901
|
978-1?4799?1375?6/13/$31.00 {copyright}2013 IEEE
|
cs.DC
|
http://creativecommons.org/licenses/publicdomain/
|
Cloud Computing is an emerging area for accessing computing resources. In
general, Cloud service providers offer services that can be clustered into
three categories: SaaS, PaaS and IaaS. This paper discusses the Cloud workload
analysis. The efficient Cloud workload resource mapping technique is proposed.
This paper aims to provide a means of understanding and investigating IaaS
Cloud workloads and the resources. In this paper, regression analysis is used
to analyze the Cloud workloads and identifies the relationship between Cloud
workloads and available resources. The effective organization of dynamic nature
resources can be done with the help of Cloud workloads. Till Cloud workload is
considered a vital talent, the Cloud resources cannot be consumed in an
effective style. The proposed technique has been validated by Z Formal
specification language. This approach is effective in minimizing the cost and
submission burst time of Cloud workloads.
|
[
{
"created": "Thu, 13 Feb 2014 05:24:37 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Singh",
"Sukhpal",
""
],
[
"Chana",
"Inderveer",
""
]
] |
[
-0.0329761728644371,
0.04781144857406616,
0.017231112346053123,
0.01756894774734974,
-0.01107469480484724,
-0.018993301317095757,
0.018566912040114403,
-0.051026929169893265,
0.05740809068083763,
0.08182095736265182,
-0.062346529215574265,
-0.01842385344207287,
0.06082417815923691,
0.0235486701130867,
-0.010863283649086952,
-0.04227747768163681,
0.07050450146198273,
-0.06812980771064758,
-0.03513258323073387,
-0.041345931589603424,
0.03660058602690697,
0.033660560846328735,
-0.10192497074604034,
-0.01783239096403122,
0.026129432022571564,
0.07675055414438248,
-0.06502684205770493,
-0.01936325617134571,
0.02432384341955185,
-0.024117620661854744,
-0.03887779638171196,
-0.0007381080067716539,
-0.007313866633921862,
0.10377538204193115,
0.05108198523521423,
-0.0034091812558472157,
-0.033540066331624985,
-0.026559974998235703,
0.011237142607569695,
-0.00883215107023716,
0.045994874089956284,
-0.06637299060821533,
-0.07585447281599045,
0.0007541010272689164,
0.016562912613153458,
0.029485730454325676,
-0.034274738281965256,
-0.018659068271517754,
-0.0382368229329586,
0.0681636855006218,
-0.011290560476481915,
-0.09500163048505783,
-0.02626384049654007,
0.02239738404750824,
-0.015718113631010056,
0.05873332545161247,
0.024379631504416466,
-0.012734643183648586,
0.024435684084892273,
-0.008765961974859238,
-0.03964066132903099,
-0.055354341864585876,
0.05164438486099243,
0.025472305715084076,
0.0748928040266037,
0.035482343286275864,
0.028362853452563286,
0.01974635198712349,
-0.07318294048309326,
-0.0030927732586860657,
-0.004290411248803139,
0.013394099660217762,
-0.05486487224698067,
-0.0015341584803536534,
-0.02484348602592945,
-0.029081396758556366,
0.02975357510149479,
0.009789425879716873,
0.03057677485048771,
-0.05161939933896065,
0.013606367632746696,
0.08353929966688156,
-0.01184029784053564,
0.05597308278083801,
-0.025168629363179207,
0.03695187345147133,
0.0175254475325346,
-0.06851252913475037,
0.08517575263977051,
-0.004006652161478996,
0.004452413413673639,
0.0015090571250766516,
0.0806371420621872,
0.027077119797468185,
0.05095648765563965,
-0.0709395706653595,
0.02169325016438961,
-0.041638556867837906,
0.014520067721605301,
-0.008542600087821484,
0.010600863955914974,
0.04852310195565224,
0.09766864776611328,
-0.08011092245578766,
-0.025108203291893005,
-0.00046286845463328063,
0.019965775310993195,
0.01924240216612816,
-0.03308819606900215,
0.05841686204075813,
-0.05853051319718361,
0.0046347035095095634,
-0.05549119785428047,
-0.0728086605668068,
-0.025048181414604187,
-0.004222202114760876,
-0.015059743076562881,
0.001931448350660503,
-0.08904922008514404,
0.030387798324227333,
0.07780501991510391,
-0.07632574439048767,
0.03697557374835014,
-0.11904297769069672,
-0.03596687689423561,
-0.013015935197472572,
-0.14279085397720337,
2.0210788652466074e-33,
-0.02862405963242054,
-0.015389814972877502,
-0.014026026241481304,
-0.06571871787309647,
0.04724084585905075,
-0.08813437074422836,
0.015625130385160446,
0.02928139455616474,
-0.05063552036881447,
-0.02317901700735092,
-0.11340048164129257,
0.13158857822418213,
-0.036279115825891495,
0.028650278225541115,
0.05467519536614418,
0.02972443960607052,
0.12955372035503387,
0.11980678886175156,
0.06031334027647972,
0.008740611374378204,
-0.026095233857631683,
-0.03682059422135353,
0.023936506360769272,
-0.03307540714740753,
0.1141732931137085,
-0.045256588608026505,
0.0599246472120285,
-0.027896933257579803,
0.07195938378572464,
-0.0156409814953804,
0.09381014108657837,
-0.05246962606906891,
-0.01766372285783291,
-0.033160556107759476,
0.04457015544176102,
-0.036294952034950256,
-0.02369525469839573,
-0.015121035277843475,
0.027050508186221123,
0.05488904193043709,
0.0009888935601338744,
0.06578804552555084,
-0.02505100890994072,
-0.034450262784957886,
-0.057540975511074066,
0.03529026731848717,
-0.006511067971587181,
-0.04158597066998482,
0.06365040689706802,
0.04548855870962143,
0.043211136013269424,
-0.036299314349889755,
0.06687860935926437,
0.044315267354249954,
-0.010170668363571167,
0.01276366226375103,
-0.038373809307813644,
-0.007563749793916941,
0.044086698442697525,
0.08003454655408859,
-0.12334635853767395,
-0.13172708451747894,
-0.008199134841561317,
-0.01588103547692299,
-0.027611112222075462,
-0.11050419509410858,
-0.034025151282548904,
0.06613962352275848,
0.027138371020555496,
-0.0007642940618097782,
0.010888024233281612,
-0.034267719835042953,
0.0658450648188591,
0.03260498121380806,
0.04098758101463318,
-0.08395831286907196,
-0.014368979260325432,
-0.03358016535639763,
-0.09341157972812653,
0.001617553411051631,
-0.04273746907711029,
0.06762188673019409,
0.05636795237660408,
-0.02617531269788742,
-0.0829792320728302,
-0.051305461674928665,
0.03303911164402962,
0.043528180569410324,
-0.06328821182250977,
-0.0013025921070948243,
-0.05537456274032593,
-0.017411138862371445,
-0.00400809058919549,
-0.07612807303667068,
0.009619688615202904,
-3.643833388193421e-33,
-0.01984431780874729,
-0.05192498117685318,
-0.052049748599529266,
0.10363096743822098,
0.05582679435610771,
-0.04902765899896622,
0.013537468388676643,
0.005896712187677622,
-0.014375166036188602,
0.0966438353061676,
-0.005652805790305138,
0.009523647837340832,
-0.04271320253610611,
-0.024516668170690536,
-0.0007917917100712657,
-0.018074125051498413,
-0.035719871520996094,
-0.08848670870065689,
0.026206640526652336,
0.06008502468466759,
-0.03616401180624962,
-0.007932520471513271,
0.09365568310022354,
-0.09355580806732178,
0.011318525299429893,
0.008631628938019276,
-0.05800843983888626,
0.020400160923600197,
0.0031219928059726954,
-0.020358856767416,
-0.07306971400976181,
-0.029620960354804993,
-0.06537815928459167,
-0.008345120586454868,
-0.02643236517906189,
-0.04759606346487999,
0.006987765431404114,
0.07730938494205475,
-0.010675587691366673,
-0.013895557262003422,
0.01284676231443882,
-0.06232709437608719,
0.03659224137663841,
-0.0686897560954094,
0.03223087266087532,
0.03420782834291458,
0.04974980652332306,
0.040112774819135666,
-0.05961703881621361,
-0.04421500116586685,
0.06855123490095139,
-0.015620268881320953,
-0.014801645651459694,
0.02613973617553711,
0.044175729155540466,
-0.027912572026252747,
-0.017946572974324226,
-0.015948059037327766,
-0.09178531914949417,
-0.005912662483751774,
0.06702371686697006,
-0.004660329315811396,
0.04135752469301224,
0.09511083364486694,
0.007822034880518913,
-0.04060574993491173,
0.0136460205540061,
-0.08246549218893051,
-0.09262990951538086,
-0.037659063935279846,
-0.08349943906068802,
-0.028312014415860176,
-0.07035664469003677,
0.022715633735060692,
-0.03992229327559471,
-0.03134957328438759,
0.013309684582054615,
-0.08679991215467453,
0.05786685273051262,
0.010305481031537056,
-0.06171625107526779,
0.0817180946469307,
-0.007361754309386015,
-0.003618573537096381,
-0.03042827546596527,
0.04639323800802231,
0.09443700313568115,
-0.03582564368844032,
-0.004267485812306404,
0.11555983871221542,
-0.11455784738063812,
-0.03253979608416557,
-0.052744727581739426,
0.10069143027067184,
-0.06250326335430145,
-4.4128483978056465e-8,
-0.01404621358960867,
0.04815325886011124,
0.10783819109201431,
-0.041742417961359024,
-0.006259409710764885,
-0.026260925456881523,
0.06497451663017273,
0.07186586409807205,
0.08055074512958527,
0.02462543360888958,
0.050462037324905396,
-0.09340397268533707,
0.028608838096261024,
-0.00879797711968422,
0.0006415170500986278,
0.04868587478995323,
0.013095780275762081,
0.0030775649938732386,
-0.047924209386110306,
-0.019708704203367233,
-0.012546016834676266,
0.07706104218959808,
-0.0077731674537062645,
0.030695928260684013,
0.08024223893880844,
-0.006616850849241018,
0.02864430658519268,
0.009039347060024738,
-0.06741605699062347,
-0.04210350662469864,
-0.024738535284996033,
0.004092944320291281,
0.04745180159807205,
-0.07604708522558212,
0.0015112751862034202,
-0.0374394990503788,
-0.001795039395801723,
-0.00839572586119175,
0.044878039509058,
0.06922774761915207,
0.05783747136592865,
0.05539260804653168,
0.07003484666347504,
0.004660442937165499,
0.08542612940073013,
-0.041407521814107895,
-0.01664086803793907,
0.0060631041415035725,
-0.0015507533680647612,
-0.02466934733092785,
0.01946757175028324,
-0.061605434864759445,
-0.021302422508597374,
0.0930928960442543,
0.02692415937781334,
-0.01118252333253622,
0.021124573424458504,
-0.05170596390962601,
0.12814413011074066,
0.11256961524486542,
0.05892602726817131,
-0.025021672248840332,
0.01585998199880123,
0.0187032800167799
] | null | null | null | null | null | null | null |
[
-0.0329761728644371,
0.04781144857406616,
0.017231112346053123,
0.01756894774734974,
-0.01107469480484724,
-0.018993301317095757,
0.018566912040114403,
-0.051026929169893265,
0.05740809068083763,
0.08182095736265182,
-0.062346529215574265,
-0.01842385344207287,
0.06082417815923691,
0.0235486701130867,
-0.010863283649086952,
-0.04227747768163681,
0.07050450146198273,
-0.06812980771064758,
-0.03513258323073387,
-0.041345931589603424,
0.03660058602690697,
0.033660560846328735,
-0.10192497074604034,
-0.01783239096403122,
0.026129432022571564,
0.07675055414438248,
-0.06502684205770493,
-0.01936325617134571,
0.02432384341955185,
-0.024117620661854744,
-0.03887779638171196,
-0.0007381080067716539,
-0.007313866633921862,
0.10377538204193115,
0.05108198523521423,
-0.0034091812558472157,
-0.033540066331624985,
-0.026559974998235703,
0.011237142607569695,
-0.00883215107023716,
0.045994874089956284,
-0.06637299060821533,
-0.07585447281599045,
0.0007541010272689164,
0.016562912613153458,
0.029485730454325676,
-0.034274738281965256,
-0.018659068271517754,
-0.0382368229329586,
0.0681636855006218,
-0.011290560476481915,
-0.09500163048505783,
-0.02626384049654007,
0.02239738404750824,
-0.015718113631010056,
0.05873332545161247,
0.024379631504416466,
-0.012734643183648586,
0.024435684084892273,
-0.008765961974859238,
-0.03964066132903099,
-0.055354341864585876,
0.05164438486099243,
0.025472305715084076,
0.0748928040266037,
0.035482343286275864,
0.028362853452563286,
0.01974635198712349,
-0.07318294048309326,
-0.0030927732586860657,
-0.004290411248803139,
0.013394099660217762,
-0.05486487224698067,
-0.0015341584803536534,
-0.02484348602592945,
-0.029081396758556366,
0.02975357510149479,
0.009789425879716873,
0.03057677485048771,
-0.05161939933896065,
0.013606367632746696,
0.08353929966688156,
-0.01184029784053564,
0.05597308278083801,
-0.025168629363179207,
0.03695187345147133,
0.0175254475325346,
-0.06851252913475037,
0.08517575263977051,
-0.004006652161478996,
0.004452413413673639,
0.0015090571250766516,
0.0806371420621872,
0.027077119797468185,
0.05095648765563965,
-0.0709395706653595,
0.02169325016438961,
-0.041638556867837906,
0.014520067721605301,
-0.008542600087821484,
0.010600863955914974,
0.04852310195565224,
0.09766864776611328,
-0.08011092245578766,
-0.025108203291893005,
-0.00046286845463328063,
0.019965775310993195,
0.01924240216612816,
-0.03308819606900215,
0.05841686204075813,
-0.05853051319718361,
0.0046347035095095634,
-0.05549119785428047,
-0.0728086605668068,
-0.025048181414604187,
-0.004222202114760876,
-0.015059743076562881,
0.001931448350660503,
-0.08904922008514404,
0.030387798324227333,
0.07780501991510391,
-0.07632574439048767,
0.03697557374835014,
-0.11904297769069672,
-0.03596687689423561,
-0.013015935197472572,
-0.14279085397720337,
2.0210788652466074e-33,
-0.02862405963242054,
-0.015389814972877502,
-0.014026026241481304,
-0.06571871787309647,
0.04724084585905075,
-0.08813437074422836,
0.015625130385160446,
0.02928139455616474,
-0.05063552036881447,
-0.02317901700735092,
-0.11340048164129257,
0.13158857822418213,
-0.036279115825891495,
0.028650278225541115,
0.05467519536614418,
0.02972443960607052,
0.12955372035503387,
0.11980678886175156,
0.06031334027647972,
0.008740611374378204,
-0.026095233857631683,
-0.03682059422135353,
0.023936506360769272,
-0.03307540714740753,
0.1141732931137085,
-0.045256588608026505,
0.0599246472120285,
-0.027896933257579803,
0.07195938378572464,
-0.0156409814953804,
0.09381014108657837,
-0.05246962606906891,
-0.01766372285783291,
-0.033160556107759476,
0.04457015544176102,
-0.036294952034950256,
-0.02369525469839573,
-0.015121035277843475,
0.027050508186221123,
0.05488904193043709,
0.0009888935601338744,
0.06578804552555084,
-0.02505100890994072,
-0.034450262784957886,
-0.057540975511074066,
0.03529026731848717,
-0.006511067971587181,
-0.04158597066998482,
0.06365040689706802,
0.04548855870962143,
0.043211136013269424,
-0.036299314349889755,
0.06687860935926437,
0.044315267354249954,
-0.010170668363571167,
0.01276366226375103,
-0.038373809307813644,
-0.007563749793916941,
0.044086698442697525,
0.08003454655408859,
-0.12334635853767395,
-0.13172708451747894,
-0.008199134841561317,
-0.01588103547692299,
-0.027611112222075462,
-0.11050419509410858,
-0.034025151282548904,
0.06613962352275848,
0.027138371020555496,
-0.0007642940618097782,
0.010888024233281612,
-0.034267719835042953,
0.0658450648188591,
0.03260498121380806,
0.04098758101463318,
-0.08395831286907196,
-0.014368979260325432,
-0.03358016535639763,
-0.09341157972812653,
0.001617553411051631,
-0.04273746907711029,
0.06762188673019409,
0.05636795237660408,
-0.02617531269788742,
-0.0829792320728302,
-0.051305461674928665,
0.03303911164402962,
0.043528180569410324,
-0.06328821182250977,
-0.0013025921070948243,
-0.05537456274032593,
-0.017411138862371445,
-0.00400809058919549,
-0.07612807303667068,
0.009619688615202904,
-3.643833388193421e-33,
-0.01984431780874729,
-0.05192498117685318,
-0.052049748599529266,
0.10363096743822098,
0.05582679435610771,
-0.04902765899896622,
0.013537468388676643,
0.005896712187677622,
-0.014375166036188602,
0.0966438353061676,
-0.005652805790305138,
0.009523647837340832,
-0.04271320253610611,
-0.024516668170690536,
-0.0007917917100712657,
-0.018074125051498413,
-0.035719871520996094,
-0.08848670870065689,
0.026206640526652336,
0.06008502468466759,
-0.03616401180624962,
-0.007932520471513271,
0.09365568310022354,
-0.09355580806732178,
0.011318525299429893,
0.008631628938019276,
-0.05800843983888626,
0.020400160923600197,
0.0031219928059726954,
-0.020358856767416,
-0.07306971400976181,
-0.029620960354804993,
-0.06537815928459167,
-0.008345120586454868,
-0.02643236517906189,
-0.04759606346487999,
0.006987765431404114,
0.07730938494205475,
-0.010675587691366673,
-0.013895557262003422,
0.01284676231443882,
-0.06232709437608719,
0.03659224137663841,
-0.0686897560954094,
0.03223087266087532,
0.03420782834291458,
0.04974980652332306,
0.040112774819135666,
-0.05961703881621361,
-0.04421500116586685,
0.06855123490095139,
-0.015620268881320953,
-0.014801645651459694,
0.02613973617553711,
0.044175729155540466,
-0.027912572026252747,
-0.017946572974324226,
-0.015948059037327766,
-0.09178531914949417,
-0.005912662483751774,
0.06702371686697006,
-0.004660329315811396,
0.04135752469301224,
0.09511083364486694,
0.007822034880518913,
-0.04060574993491173,
0.0136460205540061,
-0.08246549218893051,
-0.09262990951538086,
-0.037659063935279846,
-0.08349943906068802,
-0.028312014415860176,
-0.07035664469003677,
0.022715633735060692,
-0.03992229327559471,
-0.03134957328438759,
0.013309684582054615,
-0.08679991215467453,
0.05786685273051262,
0.010305481031537056,
-0.06171625107526779,
0.0817180946469307,
-0.007361754309386015,
-0.003618573537096381,
-0.03042827546596527,
0.04639323800802231,
0.09443700313568115,
-0.03582564368844032,
-0.004267485812306404,
0.11555983871221542,
-0.11455784738063812,
-0.03253979608416557,
-0.052744727581739426,
0.10069143027067184,
-0.06250326335430145,
-4.4128483978056465e-8,
-0.01404621358960867,
0.04815325886011124,
0.10783819109201431,
-0.041742417961359024,
-0.006259409710764885,
-0.026260925456881523,
0.06497451663017273,
0.07186586409807205,
0.08055074512958527,
0.02462543360888958,
0.050462037324905396,
-0.09340397268533707,
0.028608838096261024,
-0.00879797711968422,
0.0006415170500986278,
0.04868587478995323,
0.013095780275762081,
0.0030775649938732386,
-0.047924209386110306,
-0.019708704203367233,
-0.012546016834676266,
0.07706104218959808,
-0.0077731674537062645,
0.030695928260684013,
0.08024223893880844,
-0.006616850849241018,
0.02864430658519268,
0.009039347060024738,
-0.06741605699062347,
-0.04210350662469864,
-0.024738535284996033,
0.004092944320291281,
0.04745180159807205,
-0.07604708522558212,
0.0015112751862034202,
-0.0374394990503788,
-0.001795039395801723,
-0.00839572586119175,
0.044878039509058,
0.06922774761915207,
0.05783747136592865,
0.05539260804653168,
0.07003484666347504,
0.004660442937165499,
0.08542612940073013,
-0.041407521814107895,
-0.01664086803793907,
0.0060631041415035725,
-0.0015507533680647612,
-0.02466934733092785,
0.01946757175028324,
-0.061605434864759445,
-0.021302422508597374,
0.0930928960442543,
0.02692415937781334,
-0.01118252333253622,
0.021124573424458504,
-0.05170596390962601,
0.12814413011074066,
0.11256961524486542,
0.05892602726817131,
-0.025021672248840332,
0.01585998199880123,
0.0187032800167799
] |
1402.3035
|
Dolya Sergey N.
|
S. N. Dolya
|
Electromagnetic acceleration of electrically charged bodies
|
12 pages, 1 figure
| null | null | null |
physics.acc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Acceleration of electrically charged bodies is carried out by the electric
field running via the spiral structure of the electric pulse. The accelerated
particles have a cylindrical shape with a diameter of cylinder two millimeters,
a length of the conical part thirteen millimeters and the total length three
hundred millimeters. Pre-acceleration of the cylinder up to speed one kilometer
per second is performed by gas-dynamic. The pulse with the voltage amplitude
two megavolts and the power three hundreds megawatts goes into the spiral
waveguide synchronously with the rod injected onto it. The rod is accelerated
by the traveling pulse in the longitudinal direction up to the finite velocity
six kilometers per second for length three hundreds meters.
|
[
{
"created": "Thu, 13 Feb 2014 05:52:02 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Dolya",
"S. N.",
""
]
] |
[
-0.0439688079059124,
0.010018348693847656,
-0.05881882458925247,
-0.030846422538161278,
-0.10255947709083557,
-0.030248938128352165,
0.0008206569473259151,
-0.011776771396398544,
-0.04141984134912491,
-0.017742639407515526,
0.13880157470703125,
0.010021355003118515,
-0.005612730048596859,
-0.05096016824245453,
-0.05309327319264412,
-0.0263795368373394,
0.00001109696131607052,
0.04263734817504883,
-0.013301844708621502,
0.0017269975505769253,
0.014689057134091854,
-0.0303791631013155,
0.031902484595775604,
0.022527502849698067,
0.01629006490111351,
0.04256756231188774,
-0.01810806803405285,
0.006661400198936462,
0.007936375215649605,
-0.034988388419151306,
0.04663307964801788,
-0.11285433918237686,
-0.019259465858340263,
0.07876412570476532,
-0.073259636759758,
0.009517243131995201,
0.00447628041729331,
0.024608541280031204,
-0.01126891653984785,
0.057388052344322205,
0.03566946089267731,
-0.07148805260658264,
0.042897697538137436,
-0.010533315129578114,
0.07701092958450317,
-0.0068138036876916885,
0.02232230082154274,
-0.0032506692223250866,
-0.06187763437628746,
-0.0911010354757309,
-0.12089737504720688,
-0.05685080215334892,
-0.0654502883553505,
-0.0008671906543895602,
0.007602641358971596,
0.06553909182548523,
0.040918439626693726,
-0.011233795434236526,
0.03416426479816437,
-0.10357901453971863,
-0.010438772849738598,
-0.024018852040171623,
0.008606097660958767,
0.007681544870138168,
-0.060832444578409195,
-0.07752055674791336,
0.017178649082779884,
0.04679729789495468,
0.06004345417022705,
0.0449499748647213,
0.0222797691822052,
0.010701142251491547,
-0.017675666138529778,
-0.019614988937973976,
-0.08995760977268219,
-0.0634906217455864,
-0.0661759078502655,
0.06529340147972107,
0.015893250703811646,
0.017786964774131775,
0.021945331245660782,
-0.05876297131180763,
-0.12337907403707504,
-0.03734720125794411,
-0.014174375683069229,
0.1135832816362381,
0.025610171258449554,
0.03061610832810402,
-0.04182300716638565,
0.006943263579159975,
0.023206597194075584,
-0.048369377851486206,
0.036221958696842194,
-0.05206223204731941,
-0.0669751763343811,
-0.0229606032371521,
0.01858271099627018,
-0.03638841211795807,
0.015911055728793144,
0.026454277336597443,
0.00798578280955553,
-0.016014177352190018,
-0.01224666927009821,
0.06696929782629013,
-0.11221533268690109,
-0.0005117947584949434,
-0.0023925090208649635,
0.10286970436573029,
-0.004586828872561455,
0.05961637943983078,
0.05433817580342293,
-0.004944915883243084,
-0.10733470320701599,
-0.007574482820928097,
0.03751533105969429,
0.021391456946730614,
0.04063679650425911,
0.036209769546985626,
0.06763443350791931,
0.06379574537277222,
0.041598714888095856,
-0.007813062518835068,
-0.05796701833605766,
-0.007805697154253721,
-0.013437478803098202,
0.0035353275015950203,
0.050825245678424835,
2.81416231221435e-33,
-0.006404309067875147,
0.07232187688350677,
-0.008271715603768826,
-0.04290247708559036,
-0.07525509595870972,
-0.014357110485434532,
-0.016847893595695496,
0.05398600921034813,
0.05728248506784439,
0.04845406487584114,
-0.09475965052843094,
0.08836661279201508,
0.027151888236403465,
0.17182831466197968,
-0.021541163325309753,
-0.15726180374622345,
0.017464730888605118,
0.02622986026108265,
0.03924655541777611,
-0.007484776899218559,
0.047721583396196365,
-0.0027306571137160063,
-0.014962679706513882,
0.015747597441077232,
0.021411295980215073,
0.02912542223930359,
0.011430053971707821,
0.009181945584714413,
-0.03922879695892334,
0.04195559397339821,
0.04073575139045715,
0.03429270163178444,
-0.042190756648778915,
0.006627883296459913,
-0.008684840053319931,
0.012941278517246246,
-0.003091424936428666,
0.0004852346028201282,
0.059417661279439926,
0.032555799931287766,
0.0429861843585968,
-0.09967860579490662,
-0.01241044420748949,
0.022630352526903152,
-0.07658865302801132,
0.04039158299565315,
0.01583768054842949,
-0.0050018527545034885,
0.11409179121255875,
-0.005195879843086004,
0.02745041809976101,
-0.0029116449877619743,
-0.011568015441298485,
0.013196509331464767,
0.14419370889663696,
0.05438051000237465,
-0.052376020699739456,
0.037142977118492126,
0.017460577189922333,
0.012545847333967686,
-0.017887776717543602,
-0.007665720768272877,
-0.017556868493556976,
-0.005242129787802696,
-0.022529764100909233,
0.01584686152637005,
-0.06982562690973282,
-0.07990933209657669,
0.03612007573246956,
-0.05551392212510109,
-0.031195558607578278,
-0.009686248376965523,
-0.0024213402066379786,
-0.06994237750768661,
0.020443566143512726,
0.06659860163927078,
-0.07278940081596375,
0.05104683339595795,
-0.01989528350532055,
0.0001476938050473109,
-0.09234913438558578,
-0.08710639923810959,
-0.03713056445121765,
-0.07919000089168549,
0.06162805110216141,
0.016996227204799652,
0.02739255130290985,
-0.014824510551989079,
0.026440858840942383,
-0.09234759956598282,
0.024596387520432472,
0.03174227103590965,
0.0008853809558786452,
-0.0014190796064212918,
0.026409905403852463,
-4.582239344662484e-33,
0.10377097874879837,
-0.019023578613996506,
-0.0004836274601984769,
0.07378911972045898,
0.04929479584097862,
0.10602190345525742,
-0.01535665150731802,
0.05497652292251587,
-0.07415560632944107,
-0.03916606679558754,
-0.05418587103486061,
-0.0355544239282608,
0.053792744874954224,
0.06192075088620186,
0.07807794213294983,
-0.00001557773612148594,
0.030848074704408646,
-0.04503719508647919,
0.026423560455441475,
0.004449707455933094,
0.013724141754209995,
-0.006000841502100229,
0.055374179035425186,
-0.05657650902867317,
0.05610577389597893,
-0.00492538046091795,
0.07698395848274231,
-0.07754626870155334,
-0.024264192208647728,
-0.019018717110157013,
-0.05298604071140289,
0.009358257055282593,
0.00035579409450292587,
-0.029146652668714523,
-0.09029479324817657,
0.045274894684553146,
0.02968842163681984,
0.0378781333565712,
0.05000150203704834,
-0.10388582199811935,
0.010297279804944992,
0.030932564288377762,
0.07287105172872543,
0.03180338069796562,
-0.09249398112297058,
-0.03192087262868881,
0.05306301638484001,
0.017521003261208534,
-0.00046567077515646815,
0.057721447199583054,
-0.02006194368004799,
-0.03258766978979111,
0.06678787618875504,
0.030915118753910065,
0.026209423318505287,
0.003804167965427041,
0.02945774793624878,
-0.07466774433851242,
0.014322087168693542,
-0.05350242555141449,
-0.062348008155822754,
-0.04644489660859108,
0.054555926471948624,
0.04827532917261124,
0.03626281023025513,
-0.06527837365865707,
-0.01284810807555914,
-0.04384256526827812,
-0.035099152475595474,
-0.06312757730484009,
0.06996415555477142,
0.021171750500798225,
-0.03658779338002205,
-0.08595563471317291,
-0.10103045403957367,
-0.06193544715642929,
0.034469518810510635,
-0.018856020644307137,
-0.04826715588569641,
-0.07988166809082031,
0.04336625710129738,
0.050928764045238495,
-0.015050900168716908,
-0.10767519474029541,
-0.10383600741624832,
-0.10056442767381668,
0.00871811993420124,
-0.012712810188531876,
-0.020595140755176544,
0.029233084991574287,
0.0563419833779335,
0.04228799417614937,
0.010360894724726677,
0.009058000519871712,
0.06429147720336914,
-4.488315141770727e-8,
-0.02630830556154251,
0.007269660942256451,
-0.055439919233322144,
0.018940649926662445,
0.10471798479557037,
0.07066958397626877,
0.021027682349085808,
0.05543546378612518,
0.04067838937044144,
-0.10680288821458817,
0.08773103356361389,
0.03589320182800293,
0.07466266304254532,
0.049471598118543625,
0.0379122830927372,
0.024102816358208656,
-0.07916703075170517,
0.028192171826958656,
-0.027324480935931206,
0.004867622163146734,
0.10427004843950272,
0.005021294578909874,
-0.0013980853836983442,
-0.020412627607584,
0.01782609149813652,
0.088287852704525,
-0.017069686204195023,
0.0020060210954397917,
-0.050957612693309784,
-0.03229057416319847,
-0.11034846305847168,
0.0425565205514431,
0.012959133833646774,
0.0038635318633168936,
-0.05492379516363144,
-0.05601492524147034,
-0.001655435306020081,
0.030021987855434418,
-0.04306013882160187,
-0.01134857814759016,
0.028370803222060204,
-0.0566059947013855,
-0.021402187645435333,
-0.016433367505669594,
-0.012618688866496086,
0.006052725482732058,
-0.08036117255687714,
-0.017079778015613556,
-0.0559646338224411,
0.12041368335485458,
-0.07341696321964264,
0.023899352177977562,
0.035035815089941025,
-0.04303440824151039,
-0.021694401279091835,
0.03406662866473198,
-0.005391211248934269,
-0.04946742579340935,
-0.08087104558944702,
0.03383530303835869,
0.03575188294053078,
-0.0134951276704669,
0.08710101991891861,
0.021473396569490433
] | null | null | null | null | null | null | null |
[
-0.0439688079059124,
0.010018348693847656,
-0.05881882458925247,
-0.030846422538161278,
-0.10255947709083557,
-0.030248938128352165,
0.0008206569473259151,
-0.011776771396398544,
-0.04141984134912491,
-0.017742639407515526,
0.13880157470703125,
0.010021355003118515,
-0.005612730048596859,
-0.05096016824245453,
-0.05309327319264412,
-0.0263795368373394,
0.00001109696131607052,
0.04263734817504883,
-0.013301844708621502,
0.0017269975505769253,
0.014689057134091854,
-0.0303791631013155,
0.031902484595775604,
0.022527502849698067,
0.01629006490111351,
0.04256756231188774,
-0.01810806803405285,
0.006661400198936462,
0.007936375215649605,
-0.034988388419151306,
0.04663307964801788,
-0.11285433918237686,
-0.019259465858340263,
0.07876412570476532,
-0.073259636759758,
0.009517243131995201,
0.00447628041729331,
0.024608541280031204,
-0.01126891653984785,
0.057388052344322205,
0.03566946089267731,
-0.07148805260658264,
0.042897697538137436,
-0.010533315129578114,
0.07701092958450317,
-0.0068138036876916885,
0.02232230082154274,
-0.0032506692223250866,
-0.06187763437628746,
-0.0911010354757309,
-0.12089737504720688,
-0.05685080215334892,
-0.0654502883553505,
-0.0008671906543895602,
0.007602641358971596,
0.06553909182548523,
0.040918439626693726,
-0.011233795434236526,
0.03416426479816437,
-0.10357901453971863,
-0.010438772849738598,
-0.024018852040171623,
0.008606097660958767,
0.007681544870138168,
-0.060832444578409195,
-0.07752055674791336,
0.017178649082779884,
0.04679729789495468,
0.06004345417022705,
0.0449499748647213,
0.0222797691822052,
0.010701142251491547,
-0.017675666138529778,
-0.019614988937973976,
-0.08995760977268219,
-0.0634906217455864,
-0.0661759078502655,
0.06529340147972107,
0.015893250703811646,
0.017786964774131775,
0.021945331245660782,
-0.05876297131180763,
-0.12337907403707504,
-0.03734720125794411,
-0.014174375683069229,
0.1135832816362381,
0.025610171258449554,
0.03061610832810402,
-0.04182300716638565,
0.006943263579159975,
0.023206597194075584,
-0.048369377851486206,
0.036221958696842194,
-0.05206223204731941,
-0.0669751763343811,
-0.0229606032371521,
0.01858271099627018,
-0.03638841211795807,
0.015911055728793144,
0.026454277336597443,
0.00798578280955553,
-0.016014177352190018,
-0.01224666927009821,
0.06696929782629013,
-0.11221533268690109,
-0.0005117947584949434,
-0.0023925090208649635,
0.10286970436573029,
-0.004586828872561455,
0.05961637943983078,
0.05433817580342293,
-0.004944915883243084,
-0.10733470320701599,
-0.007574482820928097,
0.03751533105969429,
0.021391456946730614,
0.04063679650425911,
0.036209769546985626,
0.06763443350791931,
0.06379574537277222,
0.041598714888095856,
-0.007813062518835068,
-0.05796701833605766,
-0.007805697154253721,
-0.013437478803098202,
0.0035353275015950203,
0.050825245678424835,
2.81416231221435e-33,
-0.006404309067875147,
0.07232187688350677,
-0.008271715603768826,
-0.04290247708559036,
-0.07525509595870972,
-0.014357110485434532,
-0.016847893595695496,
0.05398600921034813,
0.05728248506784439,
0.04845406487584114,
-0.09475965052843094,
0.08836661279201508,
0.027151888236403465,
0.17182831466197968,
-0.021541163325309753,
-0.15726180374622345,
0.017464730888605118,
0.02622986026108265,
0.03924655541777611,
-0.007484776899218559,
0.047721583396196365,
-0.0027306571137160063,
-0.014962679706513882,
0.015747597441077232,
0.021411295980215073,
0.02912542223930359,
0.011430053971707821,
0.009181945584714413,
-0.03922879695892334,
0.04195559397339821,
0.04073575139045715,
0.03429270163178444,
-0.042190756648778915,
0.006627883296459913,
-0.008684840053319931,
0.012941278517246246,
-0.003091424936428666,
0.0004852346028201282,
0.059417661279439926,
0.032555799931287766,
0.0429861843585968,
-0.09967860579490662,
-0.01241044420748949,
0.022630352526903152,
-0.07658865302801132,
0.04039158299565315,
0.01583768054842949,
-0.0050018527545034885,
0.11409179121255875,
-0.005195879843086004,
0.02745041809976101,
-0.0029116449877619743,
-0.011568015441298485,
0.013196509331464767,
0.14419370889663696,
0.05438051000237465,
-0.052376020699739456,
0.037142977118492126,
0.017460577189922333,
0.012545847333967686,
-0.017887776717543602,
-0.007665720768272877,
-0.017556868493556976,
-0.005242129787802696,
-0.022529764100909233,
0.01584686152637005,
-0.06982562690973282,
-0.07990933209657669,
0.03612007573246956,
-0.05551392212510109,
-0.031195558607578278,
-0.009686248376965523,
-0.0024213402066379786,
-0.06994237750768661,
0.020443566143512726,
0.06659860163927078,
-0.07278940081596375,
0.05104683339595795,
-0.01989528350532055,
0.0001476938050473109,
-0.09234913438558578,
-0.08710639923810959,
-0.03713056445121765,
-0.07919000089168549,
0.06162805110216141,
0.016996227204799652,
0.02739255130290985,
-0.014824510551989079,
0.026440858840942383,
-0.09234759956598282,
0.024596387520432472,
0.03174227103590965,
0.0008853809558786452,
-0.0014190796064212918,
0.026409905403852463,
-4.582239344662484e-33,
0.10377097874879837,
-0.019023578613996506,
-0.0004836274601984769,
0.07378911972045898,
0.04929479584097862,
0.10602190345525742,
-0.01535665150731802,
0.05497652292251587,
-0.07415560632944107,
-0.03916606679558754,
-0.05418587103486061,
-0.0355544239282608,
0.053792744874954224,
0.06192075088620186,
0.07807794213294983,
-0.00001557773612148594,
0.030848074704408646,
-0.04503719508647919,
0.026423560455441475,
0.004449707455933094,
0.013724141754209995,
-0.006000841502100229,
0.055374179035425186,
-0.05657650902867317,
0.05610577389597893,
-0.00492538046091795,
0.07698395848274231,
-0.07754626870155334,
-0.024264192208647728,
-0.019018717110157013,
-0.05298604071140289,
0.009358257055282593,
0.00035579409450292587,
-0.029146652668714523,
-0.09029479324817657,
0.045274894684553146,
0.02968842163681984,
0.0378781333565712,
0.05000150203704834,
-0.10388582199811935,
0.010297279804944992,
0.030932564288377762,
0.07287105172872543,
0.03180338069796562,
-0.09249398112297058,
-0.03192087262868881,
0.05306301638484001,
0.017521003261208534,
-0.00046567077515646815,
0.057721447199583054,
-0.02006194368004799,
-0.03258766978979111,
0.06678787618875504,
0.030915118753910065,
0.026209423318505287,
0.003804167965427041,
0.02945774793624878,
-0.07466774433851242,
0.014322087168693542,
-0.05350242555141449,
-0.062348008155822754,
-0.04644489660859108,
0.054555926471948624,
0.04827532917261124,
0.03626281023025513,
-0.06527837365865707,
-0.01284810807555914,
-0.04384256526827812,
-0.035099152475595474,
-0.06312757730484009,
0.06996415555477142,
0.021171750500798225,
-0.03658779338002205,
-0.08595563471317291,
-0.10103045403957367,
-0.06193544715642929,
0.034469518810510635,
-0.018856020644307137,
-0.04826715588569641,
-0.07988166809082031,
0.04336625710129738,
0.050928764045238495,
-0.015050900168716908,
-0.10767519474029541,
-0.10383600741624832,
-0.10056442767381668,
0.00871811993420124,
-0.012712810188531876,
-0.020595140755176544,
0.029233084991574287,
0.0563419833779335,
0.04228799417614937,
0.010360894724726677,
0.009058000519871712,
0.06429147720336914,
-4.488315141770727e-8,
-0.02630830556154251,
0.007269660942256451,
-0.055439919233322144,
0.018940649926662445,
0.10471798479557037,
0.07066958397626877,
0.021027682349085808,
0.05543546378612518,
0.04067838937044144,
-0.10680288821458817,
0.08773103356361389,
0.03589320182800293,
0.07466266304254532,
0.049471598118543625,
0.0379122830927372,
0.024102816358208656,
-0.07916703075170517,
0.028192171826958656,
-0.027324480935931206,
0.004867622163146734,
0.10427004843950272,
0.005021294578909874,
-0.0013980853836983442,
-0.020412627607584,
0.01782609149813652,
0.088287852704525,
-0.017069686204195023,
0.0020060210954397917,
-0.050957612693309784,
-0.03229057416319847,
-0.11034846305847168,
0.0425565205514431,
0.012959133833646774,
0.0038635318633168936,
-0.05492379516363144,
-0.05601492524147034,
-0.001655435306020081,
0.030021987855434418,
-0.04306013882160187,
-0.01134857814759016,
0.028370803222060204,
-0.0566059947013855,
-0.021402187645435333,
-0.016433367505669594,
-0.012618688866496086,
0.006052725482732058,
-0.08036117255687714,
-0.017079778015613556,
-0.0559646338224411,
0.12041368335485458,
-0.07341696321964264,
0.023899352177977562,
0.035035815089941025,
-0.04303440824151039,
-0.021694401279091835,
0.03406662866473198,
-0.005391211248934269,
-0.04946742579340935,
-0.08087104558944702,
0.03383530303835869,
0.03575188294053078,
-0.0134951276704669,
0.08710101991891861,
0.021473396569490433
] |
1402.3036
|
David Morgenthaler
|
J. David Morgenthaler and T. C. Hu
|
Optimal Alphabetic Ternary Trees
| null | null | null | null |
cs.DS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a new algorithm to construct optimal alphabetic ternary trees, where
every internal node has at most three children. This algorithm generalizes the
classic Hu-Tucker algorithm, though the overall computational complexity has
yet to be determined.
|
[
{
"created": "Thu, 13 Feb 2014 06:00:59 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Morgenthaler",
"J. David",
""
],
[
"Hu",
"T. C.",
""
]
] |
[
-0.0009600406046956778,
-0.014790130779147148,
-0.08353673666715622,
-0.06238500401377678,
-0.0297502800822258,
-0.033860787749290466,
-0.0013749090721830726,
-0.07652811706066132,
0.048230335116386414,
0.05753668025135994,
-0.023126453161239624,
0.032503265887498856,
0.06014660745859146,
0.006890498101711273,
-0.011506115086376667,
0.0547485426068306,
-0.02942102961242199,
0.04792558401823044,
0.0660022646188736,
-0.1800776720046997,
-0.007142315618693829,
0.05596769228577614,
0.02698945812880993,
-0.007293256465345621,
-0.0029346318915486336,
0.041042983531951904,
-0.04240058735013008,
-0.031655069440603256,
0.004929141141474247,
-0.022174354642629623,
0.0049860430881381035,
-0.011341494508087635,
0.10536226630210876,
-0.01082470454275608,
0.01581914722919464,
-0.02565508894622326,
-0.05941219627857208,
0.019018074497580528,
-0.017396144568920135,
0.14256000518798828,
0.021645527333021164,
0.10134056210517883,
0.0006583465146832168,
-0.020104603841900826,
-0.00584368733689189,
0.05088053271174431,
-0.11979121714830399,
0.01525418646633625,
0.0016137593192979693,
-0.0265941359102726,
0.029897568747401237,
-0.060888368636369705,
-0.07258984446525574,
0.046911563724279404,
-0.05028016120195389,
-0.060498155653476715,
-0.007665011566132307,
-0.04075592756271362,
-0.12095794826745987,
0.04342835396528244,
0.04342286288738251,
-0.031579501926898956,
-0.02080800198018551,
-0.07995887100696564,
0.06580478698015213,
0.08284546434879303,
-0.06457439064979553,
-0.03324912115931511,
-0.06451243907213211,
0.06492102891206741,
0.000049710783059708774,
0.05830470472574234,
-0.07834016531705856,
0.09642186015844345,
-0.013101034797728062,
-0.011149133555591106,
0.12577199935913086,
0.008967163041234016,
-0.015518034808337688,
-0.0013952102744951844,
-0.08813033252954483,
-0.003309511346742511,
-0.028190432116389275,
0.013994296081364155,
-0.006551370956003666,
0.0006544552743434906,
-0.08794990181922913,
0.015253763645887375,
-0.04671095311641693,
0.09967711567878723,
-0.025394292548298836,
0.022154344245791435,
0.12261810898780823,
0.035576462745666504,
-0.04413987323641777,
0.06262548267841339,
0.07611894607543945,
0.006866665091365576,
-0.06850169599056244,
0.01611824333667755,
-0.006362368352711201,
-0.006471025757491589,
0.06008089333772659,
-0.08807850629091263,
-0.024639949202537537,
0.015559161081910133,
-0.055663689970970154,
-0.03420381620526314,
-0.03345761448144913,
-0.05976289138197899,
-0.005784162785857916,
-0.027748672291636467,
0.022670313715934753,
-0.04875665903091431,
-0.08533234894275665,
-0.027766121551394463,
0.05764826014637947,
0.015884950757026672,
0.10072662681341171,
0.0033974889665842056,
0.013000278733670712,
0.02850238047540188,
0.027962828055024147,
0.029085472226142883,
-0.04145178943872452,
-0.011889536865055561,
-0.03254767879843712,
4.5947654308319456e-34,
-0.0012872789520770311,
0.06386036425828934,
0.025441274046897888,
0.0018440147396177053,
0.057992614805698395,
0.02890133485198021,
-0.006541940849274397,
-0.018054945394396782,
0.017433861270546913,
-0.02657368592917919,
-0.04876403883099556,
0.012578045949339867,
0.05454010143876076,
-0.0626043975353241,
0.0944749116897583,
-0.05572318285703659,
0.050058793276548386,
0.036189403384923935,
-0.04348865896463394,
-0.04714066907763481,
0.0035928317811340094,
0.08578049391508102,
0.02247067168354988,
-0.017384815961122513,
0.022988010197877884,
-0.034914638847112656,
0.00500180758535862,
-0.058642830699682236,
0.010844661854207516,
0.005593327805399895,
-0.03335263207554817,
-0.03128333389759064,
-0.05038352683186531,
-0.007016196381300688,
0.010115758515894413,
-0.04620606452226639,
-0.0062234364449977875,
0.00561072351410985,
0.013139666058123112,
0.045234739780426025,
-0.0238886047154665,
-0.010895994491875172,
0.10338049381971359,
-0.016488634049892426,
0.0174363125115633,
0.08193563669919968,
0.04418408125638962,
0.0857701301574707,
-0.036281026899814606,
0.022513190284371376,
0.020918915048241615,
0.009120416827499866,
-0.04797967150807381,
0.06217813491821289,
-0.018523914739489555,
0.06311202049255371,
0.05200420692563057,
0.07092124223709106,
0.029804134741425514,
0.06914744526147842,
0.05087263509631157,
-0.03521346673369408,
0.0675533264875412,
0.016956308856606483,
-0.01652088761329651,
0.04388571158051491,
-0.03849460557103157,
-0.0677533745765686,
0.07473244518041611,
-0.013988448306918144,
0.0021944912150502205,
0.0038787624798715115,
0.033416103571653366,
-0.07948637753725052,
0.04657401889562607,
-0.0347830206155777,
0.05107215791940689,
-0.07432103157043457,
-0.02636546455323696,
-0.06815190613269806,
-0.08494062721729279,
0.04204672947525978,
0.08378538489341736,
0.022773580625653267,
0.016926845535635948,
-0.13760176301002502,
-0.004145043436437845,
0.05303596705198288,
-0.06811726093292236,
-0.04098144918680191,
-0.05270279198884964,
0.027770206332206726,
0.07530485838651657,
-0.01988605223596096,
0.12626223266124725,
-2.5521705190259786e-33,
0.007298779673874378,
-0.06543049216270447,
0.060068026185035706,
-0.050828877836465836,
-0.022533375769853592,
-0.07106645405292511,
-0.05902678519487381,
-0.031258948147296906,
0.010966525413095951,
0.046906355768442154,
0.07709252834320068,
0.05101874843239784,
0.021484244614839554,
-0.06749707460403442,
-0.037203624844551086,
-0.0040799593552947044,
0.011843118816614151,
0.0737357884645462,
-0.010236134752631187,
-0.011448275297880173,
0.06694618612527847,
0.06403446942567825,
-0.11738111078739166,
0.0037990438286215067,
0.04322243481874466,
-0.03485226631164551,
-0.009677820838987827,
0.038098324090242386,
-0.0017205909825861454,
0.08882160484790802,
-0.07761616259813309,
-0.01729012466967106,
0.0016748211346566677,
-0.024221012368798256,
-0.05344250798225403,
-0.06311246752738953,
0.01236093882471323,
0.0027429715264588594,
-0.043357644230127335,
0.07361001521348953,
0.0030257548205554485,
0.007523149251937866,
-0.0037229424342513084,
0.02458340674638748,
-0.003115049796178937,
0.03471934795379639,
-0.052712805569171906,
0.040413495153188705,
-0.01910301111638546,
0.04184916615486145,
0.017470411956310272,
-0.02070271596312523,
0.0007180885877460241,
0.014377971179783344,
0.0019497645553201437,
0.02978888526558876,
-0.09787434339523315,
0.02873116545379162,
0.08783252537250519,
-0.022132286801934242,
-0.01451123133301735,
0.017617186531424522,
-0.05873027816414833,
0.03965238854289055,
-0.04590384289622307,
-0.08496242761611938,
-0.10131937265396118,
0.014085219241678715,
-0.037240274250507355,
-0.07080277800559998,
-0.01605469360947609,
0.06165958568453789,
-0.020557673647999763,
-0.03465717285871506,
-0.06666121631860733,
0.038210585713386536,
-0.016233135014772415,
0.05489911511540413,
-0.03331507369875908,
0.03640274703502655,
-0.0758126750588417,
0.05066830664873123,
-0.015558434650301933,
0.08560661971569061,
0.02853667177259922,
-0.059970781207084656,
0.08743195235729218,
-0.011040845885872841,
0.0534200482070446,
0.003759923856705427,
0.007762904278934002,
0.01020503044128418,
0.10870470851659775,
0.06931962817907333,
-0.0018905746983364224,
-3.085076372144613e-8,
-0.08312717825174332,
-0.0028115820605307817,
-0.048374243080616,
-0.02599431201815605,
0.06261410564184189,
-0.027371810749173164,
0.03607521206140518,
0.07678788155317307,
0.008548340760171413,
-0.008024475537240505,
0.030185088515281677,
0.04009544104337692,
-0.046137914061546326,
0.008375714533030987,
0.04232276231050491,
0.00018456274119671434,
0.029983732849359512,
-0.037558745592832565,
0.024470604956150055,
0.032080426812171936,
0.011040870100259781,
0.05360471457242966,
-0.025997743010520935,
0.11590635031461716,
-0.0338776558637619,
-0.052495043724775314,
0.016668321564793587,
-0.08575811982154846,
0.04690650850534439,
0.09439563006162643,
0.021626075729727745,
0.025122130289673805,
0.012359971180558205,
0.03073272295296192,
-0.040296293795108795,
0.0350196398794651,
-0.08515948057174683,
0.05020630732178688,
-0.1176152378320694,
-0.03541728854179382,
-0.02702259086072445,
-0.011375722475349903,
-0.09068997204303741,
-0.06050313636660576,
0.03100571222603321,
-0.10288123041391373,
-0.015330811962485313,
0.01831716112792492,
0.004117167089134455,
-0.03769160434603691,
-0.0825771614909172,
-0.06222604215145111,
-0.03160543739795685,
-0.08036404848098755,
0.09310109168291092,
-0.010084815323352814,
-0.04867897927761078,
-0.018228327855467796,
0.00040778532274998724,
-0.011168506927788258,
0.0831170529127121,
-0.015069647692143917,
0.07672622799873352,
0.0030651793349534273
] | null | null | null | null | null | null | null |
[
-0.0009600406046956778,
-0.014790130779147148,
-0.08353673666715622,
-0.06238500401377678,
-0.0297502800822258,
-0.033860787749290466,
-0.0013749090721830726,
-0.07652811706066132,
0.048230335116386414,
0.05753668025135994,
-0.023126453161239624,
0.032503265887498856,
0.06014660745859146,
0.006890498101711273,
-0.011506115086376667,
0.0547485426068306,
-0.02942102961242199,
0.04792558401823044,
0.0660022646188736,
-0.1800776720046997,
-0.007142315618693829,
0.05596769228577614,
0.02698945812880993,
-0.007293256465345621,
-0.0029346318915486336,
0.041042983531951904,
-0.04240058735013008,
-0.031655069440603256,
0.004929141141474247,
-0.022174354642629623,
0.0049860430881381035,
-0.011341494508087635,
0.10536226630210876,
-0.01082470454275608,
0.01581914722919464,
-0.02565508894622326,
-0.05941219627857208,
0.019018074497580528,
-0.017396144568920135,
0.14256000518798828,
0.021645527333021164,
0.10134056210517883,
0.0006583465146832168,
-0.020104603841900826,
-0.00584368733689189,
0.05088053271174431,
-0.11979121714830399,
0.01525418646633625,
0.0016137593192979693,
-0.0265941359102726,
0.029897568747401237,
-0.060888368636369705,
-0.07258984446525574,
0.046911563724279404,
-0.05028016120195389,
-0.060498155653476715,
-0.007665011566132307,
-0.04075592756271362,
-0.12095794826745987,
0.04342835396528244,
0.04342286288738251,
-0.031579501926898956,
-0.02080800198018551,
-0.07995887100696564,
0.06580478698015213,
0.08284546434879303,
-0.06457439064979553,
-0.03324912115931511,
-0.06451243907213211,
0.06492102891206741,
0.000049710783059708774,
0.05830470472574234,
-0.07834016531705856,
0.09642186015844345,
-0.013101034797728062,
-0.011149133555591106,
0.12577199935913086,
0.008967163041234016,
-0.015518034808337688,
-0.0013952102744951844,
-0.08813033252954483,
-0.003309511346742511,
-0.028190432116389275,
0.013994296081364155,
-0.006551370956003666,
0.0006544552743434906,
-0.08794990181922913,
0.015253763645887375,
-0.04671095311641693,
0.09967711567878723,
-0.025394292548298836,
0.022154344245791435,
0.12261810898780823,
0.035576462745666504,
-0.04413987323641777,
0.06262548267841339,
0.07611894607543945,
0.006866665091365576,
-0.06850169599056244,
0.01611824333667755,
-0.006362368352711201,
-0.006471025757491589,
0.06008089333772659,
-0.08807850629091263,
-0.024639949202537537,
0.015559161081910133,
-0.055663689970970154,
-0.03420381620526314,
-0.03345761448144913,
-0.05976289138197899,
-0.005784162785857916,
-0.027748672291636467,
0.022670313715934753,
-0.04875665903091431,
-0.08533234894275665,
-0.027766121551394463,
0.05764826014637947,
0.015884950757026672,
0.10072662681341171,
0.0033974889665842056,
0.013000278733670712,
0.02850238047540188,
0.027962828055024147,
0.029085472226142883,
-0.04145178943872452,
-0.011889536865055561,
-0.03254767879843712,
4.5947654308319456e-34,
-0.0012872789520770311,
0.06386036425828934,
0.025441274046897888,
0.0018440147396177053,
0.057992614805698395,
0.02890133485198021,
-0.006541940849274397,
-0.018054945394396782,
0.017433861270546913,
-0.02657368592917919,
-0.04876403883099556,
0.012578045949339867,
0.05454010143876076,
-0.0626043975353241,
0.0944749116897583,
-0.05572318285703659,
0.050058793276548386,
0.036189403384923935,
-0.04348865896463394,
-0.04714066907763481,
0.0035928317811340094,
0.08578049391508102,
0.02247067168354988,
-0.017384815961122513,
0.022988010197877884,
-0.034914638847112656,
0.00500180758535862,
-0.058642830699682236,
0.010844661854207516,
0.005593327805399895,
-0.03335263207554817,
-0.03128333389759064,
-0.05038352683186531,
-0.007016196381300688,
0.010115758515894413,
-0.04620606452226639,
-0.0062234364449977875,
0.00561072351410985,
0.013139666058123112,
0.045234739780426025,
-0.0238886047154665,
-0.010895994491875172,
0.10338049381971359,
-0.016488634049892426,
0.0174363125115633,
0.08193563669919968,
0.04418408125638962,
0.0857701301574707,
-0.036281026899814606,
0.022513190284371376,
0.020918915048241615,
0.009120416827499866,
-0.04797967150807381,
0.06217813491821289,
-0.018523914739489555,
0.06311202049255371,
0.05200420692563057,
0.07092124223709106,
0.029804134741425514,
0.06914744526147842,
0.05087263509631157,
-0.03521346673369408,
0.0675533264875412,
0.016956308856606483,
-0.01652088761329651,
0.04388571158051491,
-0.03849460557103157,
-0.0677533745765686,
0.07473244518041611,
-0.013988448306918144,
0.0021944912150502205,
0.0038787624798715115,
0.033416103571653366,
-0.07948637753725052,
0.04657401889562607,
-0.0347830206155777,
0.05107215791940689,
-0.07432103157043457,
-0.02636546455323696,
-0.06815190613269806,
-0.08494062721729279,
0.04204672947525978,
0.08378538489341736,
0.022773580625653267,
0.016926845535635948,
-0.13760176301002502,
-0.004145043436437845,
0.05303596705198288,
-0.06811726093292236,
-0.04098144918680191,
-0.05270279198884964,
0.027770206332206726,
0.07530485838651657,
-0.01988605223596096,
0.12626223266124725,
-2.5521705190259786e-33,
0.007298779673874378,
-0.06543049216270447,
0.060068026185035706,
-0.050828877836465836,
-0.022533375769853592,
-0.07106645405292511,
-0.05902678519487381,
-0.031258948147296906,
0.010966525413095951,
0.046906355768442154,
0.07709252834320068,
0.05101874843239784,
0.021484244614839554,
-0.06749707460403442,
-0.037203624844551086,
-0.0040799593552947044,
0.011843118816614151,
0.0737357884645462,
-0.010236134752631187,
-0.011448275297880173,
0.06694618612527847,
0.06403446942567825,
-0.11738111078739166,
0.0037990438286215067,
0.04322243481874466,
-0.03485226631164551,
-0.009677820838987827,
0.038098324090242386,
-0.0017205909825861454,
0.08882160484790802,
-0.07761616259813309,
-0.01729012466967106,
0.0016748211346566677,
-0.024221012368798256,
-0.05344250798225403,
-0.06311246752738953,
0.01236093882471323,
0.0027429715264588594,
-0.043357644230127335,
0.07361001521348953,
0.0030257548205554485,
0.007523149251937866,
-0.0037229424342513084,
0.02458340674638748,
-0.003115049796178937,
0.03471934795379639,
-0.052712805569171906,
0.040413495153188705,
-0.01910301111638546,
0.04184916615486145,
0.017470411956310272,
-0.02070271596312523,
0.0007180885877460241,
0.014377971179783344,
0.0019497645553201437,
0.02978888526558876,
-0.09787434339523315,
0.02873116545379162,
0.08783252537250519,
-0.022132286801934242,
-0.01451123133301735,
0.017617186531424522,
-0.05873027816414833,
0.03965238854289055,
-0.04590384289622307,
-0.08496242761611938,
-0.10131937265396118,
0.014085219241678715,
-0.037240274250507355,
-0.07080277800559998,
-0.01605469360947609,
0.06165958568453789,
-0.020557673647999763,
-0.03465717285871506,
-0.06666121631860733,
0.038210585713386536,
-0.016233135014772415,
0.05489911511540413,
-0.03331507369875908,
0.03640274703502655,
-0.0758126750588417,
0.05066830664873123,
-0.015558434650301933,
0.08560661971569061,
0.02853667177259922,
-0.059970781207084656,
0.08743195235729218,
-0.011040845885872841,
0.0534200482070446,
0.003759923856705427,
0.007762904278934002,
0.01020503044128418,
0.10870470851659775,
0.06931962817907333,
-0.0018905746983364224,
-3.085076372144613e-8,
-0.08312717825174332,
-0.0028115820605307817,
-0.048374243080616,
-0.02599431201815605,
0.06261410564184189,
-0.027371810749173164,
0.03607521206140518,
0.07678788155317307,
0.008548340760171413,
-0.008024475537240505,
0.030185088515281677,
0.04009544104337692,
-0.046137914061546326,
0.008375714533030987,
0.04232276231050491,
0.00018456274119671434,
0.029983732849359512,
-0.037558745592832565,
0.024470604956150055,
0.032080426812171936,
0.011040870100259781,
0.05360471457242966,
-0.025997743010520935,
0.11590635031461716,
-0.0338776558637619,
-0.052495043724775314,
0.016668321564793587,
-0.08575811982154846,
0.04690650850534439,
0.09439563006162643,
0.021626075729727745,
0.025122130289673805,
0.012359971180558205,
0.03073272295296192,
-0.040296293795108795,
0.0350196398794651,
-0.08515948057174683,
0.05020630732178688,
-0.1176152378320694,
-0.03541728854179382,
-0.02702259086072445,
-0.011375722475349903,
-0.09068997204303741,
-0.06050313636660576,
0.03100571222603321,
-0.10288123041391373,
-0.015330811962485313,
0.01831716112792492,
0.004117167089134455,
-0.03769160434603691,
-0.0825771614909172,
-0.06222604215145111,
-0.03160543739795685,
-0.08036404848098755,
0.09310109168291092,
-0.010084815323352814,
-0.04867897927761078,
-0.018228327855467796,
0.00040778532274998724,
-0.011168506927788258,
0.0831170529127121,
-0.015069647692143917,
0.07672622799873352,
0.0030651793349534273
] |
1402.3040
|
Jia-Fei Hong
|
Jia-Fei Hong, Kathleen Ahrens, Chu-Ren Huang
|
Event Structure of Transitive Verb: A MARVS perspective
|
Chinese Lexical Semantics Workshop 2011(CLSW 2011) published in
International Journal of Computer Processing of Languages (Vol. 24, No. 01,
March 2012)
|
International Journal of Computer Processing of Languages (Vol.
24, No. 01, March 2012)
|
10.1142/S179384061240003X
| null |
cs.CL
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Module-Attribute Representation of Verbal Semantics (MARVS) is a theory of
the representation of verbal semantics that is based on Mandarin Chinese data
(Huang et al. 2000). In the MARVS theory, there are two different types of
modules: Event Structure Modules and Role Modules. There are also two sets of
attributes: Event-Internal Attributes and Role-Internal Attributes, which are
linked to the Event Structure Module and the Role Module, respectively. In this
study, we focus on four transitive verbs as chi1(eat), wan2(play),
huan4(change) and shao1(burn) and explore their event structures by the MARVS
theory.
|
[
{
"created": "Thu, 13 Feb 2014 06:44:24 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Hong",
"Jia-Fei",
""
],
[
"Ahrens",
"Kathleen",
""
],
[
"Huang",
"Chu-Ren",
""
]
] |
[
0.029981911182403564,
-0.04298579320311546,
0.0812087208032608,
0.029433220624923706,
0.028376812115311623,
0.056087128818035126,
0.055093009024858475,
-0.07647036015987396,
0.06791118532419205,
-0.004587793722748756,
0.09638907015323639,
-0.01792765036225319,
0.016130467876791954,
0.05762198194861412,
0.09284436702728271,
0.01816927082836628,
0.009699666872620583,
0.06155874952673912,
-0.08716239035129547,
-0.02324272319674492,
0.0194578617811203,
-0.010727949440479279,
-0.033112868666648865,
0.007767701055854559,
-0.042127806693315506,
-0.02447744458913803,
-0.047632645815610886,
0.018067173659801483,
0.0779772624373436,
-0.01942560076713562,
0.043604567646980286,
0.12980854511260986,
-0.003730916418135166,
0.044854745268821716,
-0.006814160849899054,
0.03600708022713661,
0.036640800535678864,
-0.02655182220041752,
-0.03828645870089531,
-0.03715917468070984,
0.04061653092503548,
0.009514153935015202,
0.05901172757148743,
0.006330863572657108,
0.04640279337763786,
0.031661514192819595,
-0.03231094777584076,
0.02474500983953476,
-0.05585411936044693,
0.0241891797631979,
-0.05267223343253136,
0.021494785323739052,
0.0371418334543705,
0.08214232325553894,
0.004961677826941013,
0.07438331097364426,
0.02883051335811615,
0.003986995201557875,
-0.002681604353711009,
-0.05717878416180611,
-0.0795007273554802,
0.04809083044528961,
-0.025832828134298325,
0.015195883810520172,
-0.019449345767498016,
-0.015281789936125278,
-0.017272504046559334,
-0.015367631800472736,
-0.05129179358482361,
0.0674152597784996,
-0.028732145205140114,
0.02758832462131977,
-0.03984903544187546,
0.07017762959003448,
-0.017746662721037865,
-0.009698650799691677,
0.016849998384714127,
-0.03754707798361778,
-0.04082801192998886,
-0.08556294441223145,
-0.05886831134557724,
0.03132542595267296,
0.010637994855642319,
0.029053762555122375,
-0.009979527443647385,
0.03494485840201378,
-0.05815081670880318,
0.01790473610162735,
-0.06616304814815521,
0.08056686073541641,
-0.023137079551815987,
-0.044540077447891235,
0.10624638944864273,
0.05907873436808586,
-0.01516108401119709,
0.05195087939500809,
-0.00572053249925375,
0.008350883610546589,
0.07374846190214157,
0.01029285229742527,
-0.006837920285761356,
0.0807342454791069,
-0.04605330526828766,
0.0014493230264633894,
0.028318187221884727,
-0.03765261918306351,
-0.04526209458708763,
-0.04980695620179176,
-0.005959738977253437,
-0.024608243256807327,
-0.04124552756547928,
-0.027698257938027382,
-0.018827836960554123,
-0.09936559945344925,
-0.04639887809753418,
0.005388842895627022,
-0.057286668568849564,
-0.018760573118925095,
0.027247587218880653,
-0.07768357545137405,
0.027914991602301598,
0.09056764841079712,
0.0647493526339531,
0.0023117847740650177,
0.003002834040671587,
-0.12183842808008194,
0.0034522966016083956,
-3.0449900971234915e-33,
0.03401227667927742,
-0.014890648424625397,
-0.08807327598333359,
-0.003674993757158518,
0.04621478170156479,
-0.03518541529774666,
0.03371226415038109,
-0.0149682080373168,
0.02847086824476719,
-0.03336219862103462,
-0.051169056445360184,
0.03582281246781349,
-0.07396730780601501,
-0.03323812782764435,
0.09897315502166748,
0.04320736974477768,
-0.02471722848713398,
-0.017484795302152634,
0.013596738688647747,
-0.038003645837306976,
-0.041882071644067764,
0.1488235890865326,
0.03627551347017288,
-0.04165317863225937,
0.005414285231381655,
0.055222731083631516,
0.059085261076688766,
-0.04978787153959274,
0.005866817198693752,
0.035630665719509125,
-0.05764514207839966,
-0.014842433854937553,
0.007128146011382341,
-0.03779781237244606,
-0.04905983433127403,
-0.04170975834131241,
-0.06958147883415222,
-0.08491286635398865,
-0.007327122148126364,
-0.020376672968268394,
-0.00849949475377798,
0.022448541596531868,
-0.05168187618255615,
-0.04621341824531555,
-0.05788295343518257,
-0.002369591034948826,
-0.05367342010140419,
0.03254181146621704,
0.008087018504738808,
-0.05695529654622078,
0.007194111123681068,
-0.01240050233900547,
0.12687568366527557,
-0.030022209510207176,
0.020147474482655525,
-0.020347891375422478,
0.05911308526992798,
-0.0033992701210081577,
-0.08190800994634628,
-0.06988426297903061,
-0.016735035926103592,
-0.015475151129066944,
0.03165740892291069,
0.0393550731241703,
-0.04319147765636444,
0.028601286932826042,
-0.035677719861269,
-0.06384199112653732,
0.14053551852703094,
-0.024935856461524963,
-0.0522213876247406,
0.06159736588597298,
-0.04129333794116974,
-0.002282735425978899,
0.01101185753941536,
-0.0760519951581955,
-0.05552814155817032,
-0.1336788386106491,
-0.0078353900462389,
0.15961551666259766,
-0.0842192992568016,
-0.02117176167666912,
-0.0031455287244170904,
0.04336477443575859,
-0.05156586691737175,
-0.06957585364580154,
0.049015454947948456,
-0.026555228978395462,
0.00846798438578844,
-0.032890237867832184,
-0.054405223578214645,
-0.0356658473610878,
0.05393005907535553,
0.03480536490678787,
0.001892357598990202,
-2.2822998831157247e-34,
-0.10801445692777634,
0.050599612295627594,
-0.03424607217311859,
0.058092325925827026,
-0.05941251665353775,
-0.1075141504406929,
0.02487385831773281,
0.01944558508694172,
0.04436163231730461,
0.017371363937854767,
-0.04298340529203415,
-0.04616759717464447,
-0.006666610483080149,
-0.013666636310517788,
0.038347452878952026,
0.06057076156139374,
0.0004790203820448369,
0.06414412707090378,
0.046628378331661224,
0.04568927362561226,
-0.03941696882247925,
0.08522634953260422,
-0.09215408563613892,
0.020736534148454666,
0.009508255869150162,
-0.02014811895787716,
0.08821258693933487,
-0.011534752324223518,
-0.031681839376688004,
0.024424199014902115,
-0.051379408687353134,
-0.006156706716865301,
-0.01585506647825241,
0.06272583454847336,
-0.04829956963658333,
-0.05299081280827522,
-0.010597134940326214,
-0.03636720031499863,
-0.04884745180606842,
-0.0232840646058321,
0.0912928432226181,
-0.005849854089319706,
0.015473803505301476,
-0.008408291265368462,
-0.013031364418566227,
-0.0008654022822156549,
-0.01912638358771801,
0.007885550148785114,
0.0010736515978351235,
0.05500396713614464,
0.029690861701965332,
-0.05903945863246918,
-0.025892693549394608,
0.04226333275437355,
0.044683463871479034,
-0.02498565800487995,
0.10109251737594604,
-0.11669022589921951,
-0.04950164258480072,
-0.008297838270664215,
-0.007000600453466177,
0.018483687192201614,
0.04661029949784279,
0.089454784989357,
0.007196652237325907,
0.07038912922143936,
-0.045280810445547104,
-0.032821089029312134,
-0.01989605464041233,
-0.07995235919952393,
0.010745801031589508,
-0.008484791032969952,
-0.05418772995471954,
0.03607168421149254,
0.0033403278794139624,
0.027515733614563942,
-0.11375389993190765,
0.030555902048945427,
-0.045081350952386856,
-0.0600055456161499,
-0.07861328125,
-0.09255070984363556,
0.02004360780119896,
0.029504122212529182,
0.015269897878170013,
0.034995902329683304,
-0.06380144506692886,
0.09744732081890106,
0.040814898908138275,
0.006759521551430225,
-0.022432371973991394,
0.035772655159235,
0.012416880577802658,
0.056838762015104294,
-0.07413697987794876,
-3.6130504810216735e-8,
-0.0898374393582344,
-0.053696438670158386,
0.01741204224526882,
0.04475949704647064,
0.0008226926438510418,
-0.027086468413472176,
-0.0357276126742363,
0.0003176506143063307,
0.0318719819188118,
0.05774430185556412,
0.053317148238420486,
0.08774639666080475,
-0.026203718036413193,
-0.022409897297620773,
0.013204118236899376,
0.041960448026657104,
0.019831793382763863,
-0.01494566909968853,
-0.03344949707388878,
-0.010294926352798939,
0.04969102889299393,
0.04636478051543236,
-0.03612411022186279,
-0.030280964449048042,
-0.09455626457929611,
-0.02829977497458458,
-0.15200823545455933,
0.13156898319721222,
0.0395735502243042,
-0.009611789137125015,
0.07363511621952057,
0.03413219377398491,
-0.019924629479646683,
-0.07739441096782684,
0.04233471676707268,
0.07122170180082321,
0.03842635452747345,
-0.09876516461372375,
0.07500993460416794,
0.05614389851689339,
0.07312913239002228,
0.007183696608990431,
-0.06196630373597145,
0.03841511905193329,
0.1163114607334137,
-0.03121970407664776,
-0.034453414380550385,
-0.03110240399837494,
-0.016641531139612198,
-0.002997795818373561,
-0.059458039700984955,
0.03825705870985985,
-0.07793993502855301,
-0.03512179106473923,
0.039772823452949524,
0.02254685014486313,
0.048383571207523346,
0.04289178177714348,
0.07042112946510315,
-0.04450330138206482,
0.0731973722577095,
0.06494838744401932,
0.044453270733356476,
0.017892859876155853
] | null | null | null | null | null | null | null |
[
0.029981911182403564,
-0.04298579320311546,
0.0812087208032608,
0.029433220624923706,
0.028376812115311623,
0.056087128818035126,
0.055093009024858475,
-0.07647036015987396,
0.06791118532419205,
-0.004587793722748756,
0.09638907015323639,
-0.01792765036225319,
0.016130467876791954,
0.05762198194861412,
0.09284436702728271,
0.01816927082836628,
0.009699666872620583,
0.06155874952673912,
-0.08716239035129547,
-0.02324272319674492,
0.0194578617811203,
-0.010727949440479279,
-0.033112868666648865,
0.007767701055854559,
-0.042127806693315506,
-0.02447744458913803,
-0.047632645815610886,
0.018067173659801483,
0.0779772624373436,
-0.01942560076713562,
0.043604567646980286,
0.12980854511260986,
-0.003730916418135166,
0.044854745268821716,
-0.006814160849899054,
0.03600708022713661,
0.036640800535678864,
-0.02655182220041752,
-0.03828645870089531,
-0.03715917468070984,
0.04061653092503548,
0.009514153935015202,
0.05901172757148743,
0.006330863572657108,
0.04640279337763786,
0.031661514192819595,
-0.03231094777584076,
0.02474500983953476,
-0.05585411936044693,
0.0241891797631979,
-0.05267223343253136,
0.021494785323739052,
0.0371418334543705,
0.08214232325553894,
0.004961677826941013,
0.07438331097364426,
0.02883051335811615,
0.003986995201557875,
-0.002681604353711009,
-0.05717878416180611,
-0.0795007273554802,
0.04809083044528961,
-0.025832828134298325,
0.015195883810520172,
-0.019449345767498016,
-0.015281789936125278,
-0.017272504046559334,
-0.015367631800472736,
-0.05129179358482361,
0.0674152597784996,
-0.028732145205140114,
0.02758832462131977,
-0.03984903544187546,
0.07017762959003448,
-0.017746662721037865,
-0.009698650799691677,
0.016849998384714127,
-0.03754707798361778,
-0.04082801192998886,
-0.08556294441223145,
-0.05886831134557724,
0.03132542595267296,
0.010637994855642319,
0.029053762555122375,
-0.009979527443647385,
0.03494485840201378,
-0.05815081670880318,
0.01790473610162735,
-0.06616304814815521,
0.08056686073541641,
-0.023137079551815987,
-0.044540077447891235,
0.10624638944864273,
0.05907873436808586,
-0.01516108401119709,
0.05195087939500809,
-0.00572053249925375,
0.008350883610546589,
0.07374846190214157,
0.01029285229742527,
-0.006837920285761356,
0.0807342454791069,
-0.04605330526828766,
0.0014493230264633894,
0.028318187221884727,
-0.03765261918306351,
-0.04526209458708763,
-0.04980695620179176,
-0.005959738977253437,
-0.024608243256807327,
-0.04124552756547928,
-0.027698257938027382,
-0.018827836960554123,
-0.09936559945344925,
-0.04639887809753418,
0.005388842895627022,
-0.057286668568849564,
-0.018760573118925095,
0.027247587218880653,
-0.07768357545137405,
0.027914991602301598,
0.09056764841079712,
0.0647493526339531,
0.0023117847740650177,
0.003002834040671587,
-0.12183842808008194,
0.0034522966016083956,
-3.0449900971234915e-33,
0.03401227667927742,
-0.014890648424625397,
-0.08807327598333359,
-0.003674993757158518,
0.04621478170156479,
-0.03518541529774666,
0.03371226415038109,
-0.0149682080373168,
0.02847086824476719,
-0.03336219862103462,
-0.051169056445360184,
0.03582281246781349,
-0.07396730780601501,
-0.03323812782764435,
0.09897315502166748,
0.04320736974477768,
-0.02471722848713398,
-0.017484795302152634,
0.013596738688647747,
-0.038003645837306976,
-0.041882071644067764,
0.1488235890865326,
0.03627551347017288,
-0.04165317863225937,
0.005414285231381655,
0.055222731083631516,
0.059085261076688766,
-0.04978787153959274,
0.005866817198693752,
0.035630665719509125,
-0.05764514207839966,
-0.014842433854937553,
0.007128146011382341,
-0.03779781237244606,
-0.04905983433127403,
-0.04170975834131241,
-0.06958147883415222,
-0.08491286635398865,
-0.007327122148126364,
-0.020376672968268394,
-0.00849949475377798,
0.022448541596531868,
-0.05168187618255615,
-0.04621341824531555,
-0.05788295343518257,
-0.002369591034948826,
-0.05367342010140419,
0.03254181146621704,
0.008087018504738808,
-0.05695529654622078,
0.007194111123681068,
-0.01240050233900547,
0.12687568366527557,
-0.030022209510207176,
0.020147474482655525,
-0.020347891375422478,
0.05911308526992798,
-0.0033992701210081577,
-0.08190800994634628,
-0.06988426297903061,
-0.016735035926103592,
-0.015475151129066944,
0.03165740892291069,
0.0393550731241703,
-0.04319147765636444,
0.028601286932826042,
-0.035677719861269,
-0.06384199112653732,
0.14053551852703094,
-0.024935856461524963,
-0.0522213876247406,
0.06159736588597298,
-0.04129333794116974,
-0.002282735425978899,
0.01101185753941536,
-0.0760519951581955,
-0.05552814155817032,
-0.1336788386106491,
-0.0078353900462389,
0.15961551666259766,
-0.0842192992568016,
-0.02117176167666912,
-0.0031455287244170904,
0.04336477443575859,
-0.05156586691737175,
-0.06957585364580154,
0.049015454947948456,
-0.026555228978395462,
0.00846798438578844,
-0.032890237867832184,
-0.054405223578214645,
-0.0356658473610878,
0.05393005907535553,
0.03480536490678787,
0.001892357598990202,
-2.2822998831157247e-34,
-0.10801445692777634,
0.050599612295627594,
-0.03424607217311859,
0.058092325925827026,
-0.05941251665353775,
-0.1075141504406929,
0.02487385831773281,
0.01944558508694172,
0.04436163231730461,
0.017371363937854767,
-0.04298340529203415,
-0.04616759717464447,
-0.006666610483080149,
-0.013666636310517788,
0.038347452878952026,
0.06057076156139374,
0.0004790203820448369,
0.06414412707090378,
0.046628378331661224,
0.04568927362561226,
-0.03941696882247925,
0.08522634953260422,
-0.09215408563613892,
0.020736534148454666,
0.009508255869150162,
-0.02014811895787716,
0.08821258693933487,
-0.011534752324223518,
-0.031681839376688004,
0.024424199014902115,
-0.051379408687353134,
-0.006156706716865301,
-0.01585506647825241,
0.06272583454847336,
-0.04829956963658333,
-0.05299081280827522,
-0.010597134940326214,
-0.03636720031499863,
-0.04884745180606842,
-0.0232840646058321,
0.0912928432226181,
-0.005849854089319706,
0.015473803505301476,
-0.008408291265368462,
-0.013031364418566227,
-0.0008654022822156549,
-0.01912638358771801,
0.007885550148785114,
0.0010736515978351235,
0.05500396713614464,
0.029690861701965332,
-0.05903945863246918,
-0.025892693549394608,
0.04226333275437355,
0.044683463871479034,
-0.02498565800487995,
0.10109251737594604,
-0.11669022589921951,
-0.04950164258480072,
-0.008297838270664215,
-0.007000600453466177,
0.018483687192201614,
0.04661029949784279,
0.089454784989357,
0.007196652237325907,
0.07038912922143936,
-0.045280810445547104,
-0.032821089029312134,
-0.01989605464041233,
-0.07995235919952393,
0.010745801031589508,
-0.008484791032969952,
-0.05418772995471954,
0.03607168421149254,
0.0033403278794139624,
0.027515733614563942,
-0.11375389993190765,
0.030555902048945427,
-0.045081350952386856,
-0.0600055456161499,
-0.07861328125,
-0.09255070984363556,
0.02004360780119896,
0.029504122212529182,
0.015269897878170013,
0.034995902329683304,
-0.06380144506692886,
0.09744732081890106,
0.040814898908138275,
0.006759521551430225,
-0.022432371973991394,
0.035772655159235,
0.012416880577802658,
0.056838762015104294,
-0.07413697987794876,
-3.6130504810216735e-8,
-0.0898374393582344,
-0.053696438670158386,
0.01741204224526882,
0.04475949704647064,
0.0008226926438510418,
-0.027086468413472176,
-0.0357276126742363,
0.0003176506143063307,
0.0318719819188118,
0.05774430185556412,
0.053317148238420486,
0.08774639666080475,
-0.026203718036413193,
-0.022409897297620773,
0.013204118236899376,
0.041960448026657104,
0.019831793382763863,
-0.01494566909968853,
-0.03344949707388878,
-0.010294926352798939,
0.04969102889299393,
0.04636478051543236,
-0.03612411022186279,
-0.030280964449048042,
-0.09455626457929611,
-0.02829977497458458,
-0.15200823545455933,
0.13156898319721222,
0.0395735502243042,
-0.009611789137125015,
0.07363511621952057,
0.03413219377398491,
-0.019924629479646683,
-0.07739441096782684,
0.04233471676707268,
0.07122170180082321,
0.03842635452747345,
-0.09876516461372375,
0.07500993460416794,
0.05614389851689339,
0.07312913239002228,
0.007183696608990431,
-0.06196630373597145,
0.03841511905193329,
0.1163114607334137,
-0.03121970407664776,
-0.034453414380550385,
-0.03110240399837494,
-0.016641531139612198,
-0.002997795818373561,
-0.059458039700984955,
0.03825705870985985,
-0.07793993502855301,
-0.03512179106473923,
0.039772823452949524,
0.02254685014486313,
0.048383571207523346,
0.04289178177714348,
0.07042112946510315,
-0.04450330138206482,
0.0731973722577095,
0.06494838744401932,
0.044453270733356476,
0.017892859876155853
] |
1402.3043
|
Vladislav A. Yastrebov
|
David S. Kammer, Vladislav A. Yastrebov, Guillaume Anciaux,
Jean-Francois Molinari
|
The existence of a critical length scale in regularised friction
|
21 pages, 7 figures
|
Journal of the Mechanics and Physics of Solids, 63:40-50 (2014)
|
10.1016/j.jmps.2013.10.007
| null |
physics.geo-ph physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a regularisation of Coulomb's friction law on the propagation of
local slip at an interface between a deformable and a rigid solid. This
regularisation, which was proposed based on experimental observations, smooths
the effect of a sudden jump in the contact pressure over a characteristic
length scale. We apply it in numerical simulations in order to analyse its
influence on the behaviour of local slip. We first show that mesh convergence
in dynamic simulations is achieved without any numerical damping in the bulk
and draw a convergence map with respect to the characteristic length of the
friction regularisation. By varying this length scale on the example of a given
slip event, we observe that there is a critical length below which the friction
regularisation does not affect anymore the propagation of the interface
rupture. A spectral analysis of the regularisation on a periodic variation of
Coulomb's friction is conducted to confirm the existence of this critical
length. The results indicate that if the characteristic length of the friction
regularisation is smaller than the critical length, a slip event behaves as if
it was governed by Coulomb's law. We therefore propose that there is a domain
of influence of the friction regularisation depending on its characteristic
length and on the frequency content of the local slip event. A byproduct of the
analysis is related to the existence of a physical length scale characterising
a given frictional interface. We establish that the experimental determination
of this interface property may be achieved by experimentally monitoring slip
pulses whose frequency content is rich enough.
|
[
{
"created": "Thu, 13 Feb 2014 07:08:39 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Kammer",
"David S.",
""
],
[
"Yastrebov",
"Vladislav A.",
""
],
[
"Anciaux",
"Guillaume",
""
],
[
"Molinari",
"Jean-Francois",
""
]
] |
[
-0.015052460134029388,
0.018193319439888,
0.0796642079949379,
0.01763227954506874,
0.028761157765984535,
0.040724657475948334,
0.019945045933127403,
0.04260597378015518,
0.01885785534977913,
0.014053388498723507,
0.03956269845366478,
-0.03415445238351822,
-0.022457541897892952,
0.01653519831597805,
-0.008519348688423634,
-0.13167120516300201,
-0.023360591381788254,
0.021708033978939056,
-0.022822458297014236,
0.08338259905576706,
0.04500773549079895,
0.07070966064929962,
0.039432279765605927,
-0.0253412164747715,
-0.012764346785843372,
0.007246724329888821,
0.02567417174577713,
0.07167097181081772,
0.02277841605246067,
-0.04010172188282013,
-0.03155074268579483,
0.0030139293521642685,
-0.10496426373720169,
0.07321788370609283,
0.06748727709054947,
-0.027167627587914467,
0.02670738846063614,
0.07901331037282944,
-0.001156988670118153,
0.09097859263420105,
-0.03209958225488663,
0.03520222380757332,
0.04086194559931755,
-0.021926376968622208,
0.12253241240978241,
-0.02572360634803772,
0.04775556921958923,
0.02278929576277733,
-0.047845259308815,
0.0208746287971735,
0.008397692814469337,
0.017396125942468643,
0.12160641700029373,
-0.015564854256808758,
0.05725161358714104,
-0.05478778854012489,
0.040688902139663696,
-0.006585547234863043,
0.04019511863589287,
-0.053969912230968475,
0.025345606729388237,
-0.053834374994039536,
0.012284732423722744,
0.013537184335291386,
-0.01645594649016857,
-0.051814112812280655,
0.01332230493426323,
-0.02240637131035328,
0.0068155741319060326,
0.13605168461799622,
-0.0529220774769783,
0.058200281113386154,
-0.012335598468780518,
0.07498347759246826,
0.020089853554964066,
-0.06950710713863373,
-0.1355174034833908,
0.06842859089374542,
-0.06922780722379684,
-0.05920173600316048,
-0.023955026641488075,
-0.007761627435684204,
0.02566741779446602,
-0.10992792248725891,
-0.0628061518073082,
-0.032526303082704544,
-0.025289710611104965,
-0.025781402364373207,
0.03799934685230255,
-0.07589510828256607,
0.07414845377206802,
0.019520292058587074,
-0.06920221447944641,
0.031087659299373627,
0.054623786360025406,
-0.028571991249918938,
0.020107025280594826,
-0.018674444407224655,
0.05464949086308479,
0.03269583731889725,
-0.037192635238170624,
-0.07172705233097076,
-0.07152295857667923,
0.1822291761636734,
0.0850846990942955,
0.04437912628054619,
0.022858548909425735,
0.009867280721664429,
0.01730296202003956,
0.12404964864253998,
0.06286334991455078,
-0.026047036051750183,
-0.07249709963798523,
0.0021534713450819254,
-0.026475463062524796,
-0.10725465416908264,
0.046287648379802704,
0.020406149327754974,
-0.0361357182264328,
-0.008592234924435616,
-0.015280749648809433,
0.018661711364984512,
-0.0461793877184391,
0.0038236656691879034,
-0.023289673030376434,
-0.0008143766899593174,
-0.001615209854207933,
-2.2001011447470723e-33,
0.048011332750320435,
0.06829195469617844,
-0.07439745962619781,
-0.026198575273156166,
-0.0770660862326622,
-0.04941593110561371,
-0.0019118650816380978,
0.08071214705705643,
-0.014925068244338036,
0.020659571513533592,
-0.029219748452305794,
0.05561422184109688,
-0.03458624705672264,
0.013588512316346169,
-0.02747100032866001,
0.04252404347062111,
0.03823750466108322,
-0.049760255962610245,
0.03480987250804901,
0.041783407330513,
0.06789585202932358,
-0.03408759459853172,
0.05992385745048523,
-0.037108734250068665,
-0.06465184688568115,
0.0019864693749696016,
-0.025915095582604408,
-0.003446503309533,
0.070829376578331,
-0.003590445499867201,
0.03585949167609215,
0.010189143940806389,
0.01095312274992466,
0.01900218054652214,
0.01493858266621828,
0.018628498539328575,
0.030285412445664406,
-0.08364773541688919,
-0.02726661041378975,
-0.021534154191613197,
-0.08475570380687714,
-0.08225397765636444,
0.020164964720606804,
-0.0005775478202849627,
0.021751148626208305,
-0.0407831072807312,
0.0940505638718605,
0.036972127854824066,
-0.07797821611166,
-0.07713091373443604,
0.038104794919490814,
0.08161164820194244,
-0.0205250047147274,
-0.01704598404467106,
-0.013121186755597591,
-0.0637717992067337,
0.02041519246995449,
-0.03780674189329147,
-0.0069155520759522915,
0.08427464962005615,
-0.008450238965451717,
-0.014436264522373676,
0.029498111456632614,
0.005403448827564716,
-0.04495869576931,
0.03415127843618393,
-0.01052797120064497,
0.05764661729335785,
0.017369193956255913,
-0.057758867740631104,
0.011144614778459072,
-0.06375507265329361,
0.007395577616989613,
-0.014137141406536102,
-0.02324933558702469,
0.038246143609285355,
-0.03575820475816727,
-0.10381422936916351,
-0.007678874768316746,
-0.008540800772607327,
-0.05919670686125755,
-0.020146390423178673,
-0.02452423796057701,
-0.030200224369764328,
-0.022013146430253983,
-0.09251934289932251,
0.04757308587431908,
-0.02474791742861271,
0.005287417210638523,
-0.09056264162063599,
0.014018630608916283,
0.02892606519162655,
0.0547012984752655,
0.0037119651678949594,
0.04525298625230789,
-2.3661885782846765e-33,
0.026960277929902077,
0.01793617382645607,
-0.04250039532780647,
0.10150536149740219,
-0.02131028287112713,
-0.010416895151138306,
-0.0026862723752856255,
0.05525190383195877,
-0.08226104825735092,
-0.11898942291736603,
0.07690007984638214,
-0.0737837702035904,
-0.011101368814706802,
0.01904141716659069,
0.00688127800822258,
0.042377769947052,
-0.09298710525035858,
-0.06031487137079239,
-0.028948387131094933,
0.02838338166475296,
0.04974159970879555,
-0.0005270041292533278,
0.0440249927341938,
-0.061824191361665726,
-0.01755683496594429,
-0.00919698178768158,
-0.06581869721412659,
-0.006470400374382734,
-0.08520197123289108,
-0.0020172689110040665,
-0.010912938974797726,
-0.02115655317902565,
-0.09453912824392319,
-0.06332649290561676,
0.004256899934262037,
0.04185888171195984,
-0.08379567414522171,
0.08080162853002548,
0.05325178802013397,
-0.057301923632621765,
0.015583307482302189,
-0.03715687245130539,
0.00425139581784606,
-0.015134633518755436,
0.052565012127161026,
0.001512818387709558,
-0.07122701406478882,
0.015593137592077255,
0.006513545289635658,
-0.03059588000178337,
-0.025168193504214287,
-0.0024576822761446238,
0.05074336379766464,
-0.003438996383920312,
-0.01822836510837078,
0.10383142530918121,
-0.024118192493915558,
0.0264574121683836,
0.00745629146695137,
0.038741085678339005,
-0.05451008677482605,
-0.0049752965569496155,
0.01768815517425537,
0.07482612133026123,
0.05006721615791321,
-0.03274857997894287,
-0.06548285484313965,
-0.1212412640452385,
0.04830145090818405,
-0.002561944769695401,
-0.01934734545648098,
0.04041482135653496,
-0.05167853459715843,
-0.0070217628963291645,
-0.049162350594997406,
-0.015555160120129585,
0.014056202955543995,
-0.084019735455513,
-0.04788929969072342,
0.10379482805728912,
-0.017117727547883987,
0.04436070844531059,
0.031967584043741226,
0.01649230718612671,
-0.057470109313726425,
-0.0472111739218235,
-0.10347568243741989,
0.039962656795978546,
-0.033574748784303665,
0.06892268359661102,
0.06010844185948372,
-0.11278977245092392,
0.09763943403959274,
-0.11629778146743774,
-0.01377453189343214,
-5.383616397125479e-8,
-0.03757426515221596,
0.0007408199599012733,
0.05098043009638786,
-0.0498817153275013,
0.0824432522058487,
0.0307006873190403,
-0.013713883236050606,
-0.0718371719121933,
0.05223243683576584,
-0.07493472844362259,
0.03304724395275116,
-0.04526590183377266,
0.023313170298933983,
0.030890893191099167,
-0.010554156266152859,
0.07470299303531647,
0.017338402569293976,
-0.03626810014247894,
0.028735695406794548,
-0.0014455337077379227,
0.010262028314173222,
-0.02224072627723217,
0.0206464733928442,
0.06517688184976578,
-0.026728834956884384,
-0.05636308714747429,
-0.04015562683343887,
0.032845091074705124,
0.011904541403055191,
-0.08589846640825272,
-0.03509173542261124,
-0.01237507164478302,
0.04248146712779999,
0.0975663959980011,
-0.08800992369651794,
0.06988279521465302,
0.037395674735307693,
0.03334326297044754,
0.01919073425233364,
0.03383288532495499,
-0.023512793704867363,
0.02333971858024597,
-0.00004559857552521862,
-0.04239941015839577,
0.06197177991271019,
0.02655494213104248,
-0.06794001907110214,
-0.010500402189791203,
0.006446921266615391,
-0.0028748426120728254,
-0.08280571550130844,
0.04152313992381096,
-0.0012420115526765585,
0.08127190917730331,
0.0808999240398407,
0.006225031800568104,
-0.1248931735754013,
0.02877078205347061,
-0.014307552017271519,
0.05046498402953148,
-0.04875883087515831,
-0.04955299198627472,
-0.0649285838007927,
-0.03114892914891243
] | null | null | null | null | null | null | null |
[
-0.015052460134029388,
0.018193319439888,
0.0796642079949379,
0.01763227954506874,
0.028761157765984535,
0.040724657475948334,
0.019945045933127403,
0.04260597378015518,
0.01885785534977913,
0.014053388498723507,
0.03956269845366478,
-0.03415445238351822,
-0.022457541897892952,
0.01653519831597805,
-0.008519348688423634,
-0.13167120516300201,
-0.023360591381788254,
0.021708033978939056,
-0.022822458297014236,
0.08338259905576706,
0.04500773549079895,
0.07070966064929962,
0.039432279765605927,
-0.0253412164747715,
-0.012764346785843372,
0.007246724329888821,
0.02567417174577713,
0.07167097181081772,
0.02277841605246067,
-0.04010172188282013,
-0.03155074268579483,
0.0030139293521642685,
-0.10496426373720169,
0.07321788370609283,
0.06748727709054947,
-0.027167627587914467,
0.02670738846063614,
0.07901331037282944,
-0.001156988670118153,
0.09097859263420105,
-0.03209958225488663,
0.03520222380757332,
0.04086194559931755,
-0.021926376968622208,
0.12253241240978241,
-0.02572360634803772,
0.04775556921958923,
0.02278929576277733,
-0.047845259308815,
0.0208746287971735,
0.008397692814469337,
0.017396125942468643,
0.12160641700029373,
-0.015564854256808758,
0.05725161358714104,
-0.05478778854012489,
0.040688902139663696,
-0.006585547234863043,
0.04019511863589287,
-0.053969912230968475,
0.025345606729388237,
-0.053834374994039536,
0.012284732423722744,
0.013537184335291386,
-0.01645594649016857,
-0.051814112812280655,
0.01332230493426323,
-0.02240637131035328,
0.0068155741319060326,
0.13605168461799622,
-0.0529220774769783,
0.058200281113386154,
-0.012335598468780518,
0.07498347759246826,
0.020089853554964066,
-0.06950710713863373,
-0.1355174034833908,
0.06842859089374542,
-0.06922780722379684,
-0.05920173600316048,
-0.023955026641488075,
-0.007761627435684204,
0.02566741779446602,
-0.10992792248725891,
-0.0628061518073082,
-0.032526303082704544,
-0.025289710611104965,
-0.025781402364373207,
0.03799934685230255,
-0.07589510828256607,
0.07414845377206802,
0.019520292058587074,
-0.06920221447944641,
0.031087659299373627,
0.054623786360025406,
-0.028571991249918938,
0.020107025280594826,
-0.018674444407224655,
0.05464949086308479,
0.03269583731889725,
-0.037192635238170624,
-0.07172705233097076,
-0.07152295857667923,
0.1822291761636734,
0.0850846990942955,
0.04437912628054619,
0.022858548909425735,
0.009867280721664429,
0.01730296202003956,
0.12404964864253998,
0.06286334991455078,
-0.026047036051750183,
-0.07249709963798523,
0.0021534713450819254,
-0.026475463062524796,
-0.10725465416908264,
0.046287648379802704,
0.020406149327754974,
-0.0361357182264328,
-0.008592234924435616,
-0.015280749648809433,
0.018661711364984512,
-0.0461793877184391,
0.0038236656691879034,
-0.023289673030376434,
-0.0008143766899593174,
-0.001615209854207933,
-2.2001011447470723e-33,
0.048011332750320435,
0.06829195469617844,
-0.07439745962619781,
-0.026198575273156166,
-0.0770660862326622,
-0.04941593110561371,
-0.0019118650816380978,
0.08071214705705643,
-0.014925068244338036,
0.020659571513533592,
-0.029219748452305794,
0.05561422184109688,
-0.03458624705672264,
0.013588512316346169,
-0.02747100032866001,
0.04252404347062111,
0.03823750466108322,
-0.049760255962610245,
0.03480987250804901,
0.041783407330513,
0.06789585202932358,
-0.03408759459853172,
0.05992385745048523,
-0.037108734250068665,
-0.06465184688568115,
0.0019864693749696016,
-0.025915095582604408,
-0.003446503309533,
0.070829376578331,
-0.003590445499867201,
0.03585949167609215,
0.010189143940806389,
0.01095312274992466,
0.01900218054652214,
0.01493858266621828,
0.018628498539328575,
0.030285412445664406,
-0.08364773541688919,
-0.02726661041378975,
-0.021534154191613197,
-0.08475570380687714,
-0.08225397765636444,
0.020164964720606804,
-0.0005775478202849627,
0.021751148626208305,
-0.0407831072807312,
0.0940505638718605,
0.036972127854824066,
-0.07797821611166,
-0.07713091373443604,
0.038104794919490814,
0.08161164820194244,
-0.0205250047147274,
-0.01704598404467106,
-0.013121186755597591,
-0.0637717992067337,
0.02041519246995449,
-0.03780674189329147,
-0.0069155520759522915,
0.08427464962005615,
-0.008450238965451717,
-0.014436264522373676,
0.029498111456632614,
0.005403448827564716,
-0.04495869576931,
0.03415127843618393,
-0.01052797120064497,
0.05764661729335785,
0.017369193956255913,
-0.057758867740631104,
0.011144614778459072,
-0.06375507265329361,
0.007395577616989613,
-0.014137141406536102,
-0.02324933558702469,
0.038246143609285355,
-0.03575820475816727,
-0.10381422936916351,
-0.007678874768316746,
-0.008540800772607327,
-0.05919670686125755,
-0.020146390423178673,
-0.02452423796057701,
-0.030200224369764328,
-0.022013146430253983,
-0.09251934289932251,
0.04757308587431908,
-0.02474791742861271,
0.005287417210638523,
-0.09056264162063599,
0.014018630608916283,
0.02892606519162655,
0.0547012984752655,
0.0037119651678949594,
0.04525298625230789,
-2.3661885782846765e-33,
0.026960277929902077,
0.01793617382645607,
-0.04250039532780647,
0.10150536149740219,
-0.02131028287112713,
-0.010416895151138306,
-0.0026862723752856255,
0.05525190383195877,
-0.08226104825735092,
-0.11898942291736603,
0.07690007984638214,
-0.0737837702035904,
-0.011101368814706802,
0.01904141716659069,
0.00688127800822258,
0.042377769947052,
-0.09298710525035858,
-0.06031487137079239,
-0.028948387131094933,
0.02838338166475296,
0.04974159970879555,
-0.0005270041292533278,
0.0440249927341938,
-0.061824191361665726,
-0.01755683496594429,
-0.00919698178768158,
-0.06581869721412659,
-0.006470400374382734,
-0.08520197123289108,
-0.0020172689110040665,
-0.010912938974797726,
-0.02115655317902565,
-0.09453912824392319,
-0.06332649290561676,
0.004256899934262037,
0.04185888171195984,
-0.08379567414522171,
0.08080162853002548,
0.05325178802013397,
-0.057301923632621765,
0.015583307482302189,
-0.03715687245130539,
0.00425139581784606,
-0.015134633518755436,
0.052565012127161026,
0.001512818387709558,
-0.07122701406478882,
0.015593137592077255,
0.006513545289635658,
-0.03059588000178337,
-0.025168193504214287,
-0.0024576822761446238,
0.05074336379766464,
-0.003438996383920312,
-0.01822836510837078,
0.10383142530918121,
-0.024118192493915558,
0.0264574121683836,
0.00745629146695137,
0.038741085678339005,
-0.05451008677482605,
-0.0049752965569496155,
0.01768815517425537,
0.07482612133026123,
0.05006721615791321,
-0.03274857997894287,
-0.06548285484313965,
-0.1212412640452385,
0.04830145090818405,
-0.002561944769695401,
-0.01934734545648098,
0.04041482135653496,
-0.05167853459715843,
-0.0070217628963291645,
-0.049162350594997406,
-0.015555160120129585,
0.014056202955543995,
-0.084019735455513,
-0.04788929969072342,
0.10379482805728912,
-0.017117727547883987,
0.04436070844531059,
0.031967584043741226,
0.01649230718612671,
-0.057470109313726425,
-0.0472111739218235,
-0.10347568243741989,
0.039962656795978546,
-0.033574748784303665,
0.06892268359661102,
0.06010844185948372,
-0.11278977245092392,
0.09763943403959274,
-0.11629778146743774,
-0.01377453189343214,
-5.383616397125479e-8,
-0.03757426515221596,
0.0007408199599012733,
0.05098043009638786,
-0.0498817153275013,
0.0824432522058487,
0.0307006873190403,
-0.013713883236050606,
-0.0718371719121933,
0.05223243683576584,
-0.07493472844362259,
0.03304724395275116,
-0.04526590183377266,
0.023313170298933983,
0.030890893191099167,
-0.010554156266152859,
0.07470299303531647,
0.017338402569293976,
-0.03626810014247894,
0.028735695406794548,
-0.0014455337077379227,
0.010262028314173222,
-0.02224072627723217,
0.0206464733928442,
0.06517688184976578,
-0.026728834956884384,
-0.05636308714747429,
-0.04015562683343887,
0.032845091074705124,
0.011904541403055191,
-0.08589846640825272,
-0.03509173542261124,
-0.01237507164478302,
0.04248146712779999,
0.0975663959980011,
-0.08800992369651794,
0.06988279521465302,
0.037395674735307693,
0.03334326297044754,
0.01919073425233364,
0.03383288532495499,
-0.023512793704867363,
0.02333971858024597,
-0.00004559857552521862,
-0.04239941015839577,
0.06197177991271019,
0.02655494213104248,
-0.06794001907110214,
-0.010500402189791203,
0.006446921266615391,
-0.0028748426120728254,
-0.08280571550130844,
0.04152313992381096,
-0.0012420115526765585,
0.08127190917730331,
0.0808999240398407,
0.006225031800568104,
-0.1248931735754013,
0.02877078205347061,
-0.014307552017271519,
0.05046498402953148,
-0.04875883087515831,
-0.04955299198627472,
-0.0649285838007927,
-0.03114892914891243
] |
1402.3044
|
Piotr Skowron
|
Piotr Skowron and Piotr Faliszewski and Jerome Lang
|
Finding a Collective Set of Items: From Proportional Multirepresentation
to Group Recommendation
| null | null | null | null |
cs.GT cs.AI cs.MA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the following problem: There is a set of items (e.g., movies) and
a group of agents (e.g., passengers on a plane); each agent has some intrinsic
utility for each of the items. Our goal is to pick a set of $K$ items that
maximize the total derived utility of all the agents (i.e., in our example we
are to pick $K$ movies that we put on the plane's entertainment system).
However, the actual utility that an agent derives from a given item is only a
fraction of its intrinsic one, and this fraction depends on how the agent ranks
the item among the chosen, available, ones. We provide a formal specification
of the model and provide concrete examples and settings where it is applicable.
We show that the problem is hard in general, but we show a number of
tractability results for its natural special cases.
|
[
{
"created": "Thu, 13 Feb 2014 07:14:28 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jan 2016 19:51:00 GMT",
"version": "v2"
}
] |
2016-01-11
|
[
[
"Skowron",
"Piotr",
""
],
[
"Faliszewski",
"Piotr",
""
],
[
"Lang",
"Jerome",
""
]
] |
[
0.015206264331936836,
-0.03092234395444393,
-0.04880395904183388,
-0.0510629266500473,
0.01837991736829281,
0.04039863497018814,
0.12088469415903091,
0.0013560437364503741,
0.02138318307697773,
0.07201387733221054,
-0.04490431398153305,
0.02429334633052349,
0.07897374033927917,
0.12586623430252075,
0.014523399993777275,
0.047586921602487564,
0.1636759340763092,
0.048770755529403687,
-0.09696856141090393,
0.0065485225059092045,
-0.014786467887461185,
-0.04614987224340439,
0.00014118943363428116,
-0.04224519431591034,
-0.0692705288529396,
-0.033330317586660385,
0.024812549352645874,
-0.025533370673656464,
0.03622321039438248,
-0.06785425543785095,
0.05270727351307869,
0.05259080231189728,
0.0815136581659317,
-0.00777954887598753,
0.04063689708709717,
0.024945901706814766,
-0.08134531229734421,
-0.06704933196306229,
0.03246535360813141,
0.042923055589199066,
-0.005783769302070141,
0.028072457760572433,
-0.030660077929496765,
-0.007364385761320591,
-0.018862847238779068,
-0.023001912981271744,
0.0058073485270142555,
0.006594465579837561,
-0.036012131720781326,
0.015225849114358425,
0.0010844680946320295,
0.034037575125694275,
-0.044130608439445496,
0.006103332620114088,
0.011093919165432453,
-0.005199173931032419,
-0.0664345771074295,
-0.0476289838552475,
-0.05794795975089073,
-0.050521120429039,
-0.0028779893182218075,
-0.05408543720841408,
-0.0227055661380291,
-0.027946550399065018,
0.07544448971748352,
0.013992798514664173,
-0.04331400245428085,
0.022804494947195053,
-0.10118865221738815,
0.05792907997965813,
0.0032078048679977655,
-0.033524204045534134,
-0.0078010717406868935,
-0.02421913668513298,
0.07135055959224701,
0.02716597355902195,
0.06332441419363022,
-0.05767703056335449,
0.014183118008077145,
-0.01406923308968544,
-0.043892741203308105,
0.017388558015227318,
-0.06427927315235138,
-0.005334491841495037,
0.02539592795073986,
-0.07368193566799164,
0.004762664902955294,
-0.024214766919612885,
0.06922336667776108,
0.04250188544392586,
-0.06250716745853424,
-0.01128619909286499,
0.09097303450107574,
0.009772004559636116,
0.08028585463762283,
0.03494167700409889,
-0.01762855052947998,
-0.10848449170589447,
0.011645748279988766,
0.09159692376852036,
-0.045806266367435455,
0.028262071311473846,
0.06040323153138161,
-0.011477806605398655,
0.009098531678318977,
-0.08557107299566269,
-0.0010642202105373144,
0.0225362665951252,
0.0023780683986842632,
-0.047149304300546646,
-0.01706404983997345,
0.017627408728003502,
0.0046313125640153885,
0.04301593080163002,
-0.05343890190124512,
-0.07037854194641113,
0.07959423959255219,
0.02686433680355549,
0.048256345093250275,
-0.07011091709136963,
0.07035963982343674,
-0.054491929709911346,
0.1061667650938034,
0.08748599886894226,
0.005967389792203903,
0.0698271319270134,
0.06997012346982956,
-1.044036980859908e-33,
-0.10858681052923203,
-0.016842246055603027,
0.05003896728157997,
-0.04289519041776657,
0.0218654852360487,
-0.03922848403453827,
0.005059127230197191,
-0.007163683418184519,
0.02798912674188614,
0.011526191607117653,
-0.05638311803340912,
0.10611177980899811,
-0.009640875272452831,
0.06791862100362778,
0.10697312653064728,
0.0013242894783616066,
-0.05468887835741043,
0.08882628381252289,
0.03624546900391579,
-0.08975329250097275,
0.046392329037189484,
0.029044421389698982,
0.012826580554246902,
-0.03295694664120674,
-0.04467977210879326,
-0.05747632682323456,
-0.049941934645175934,
-0.03432883322238922,
-0.0004888089606538415,
-0.009000570513308048,
-0.038200974464416504,
0.07727083563804626,
0.05147214233875275,
0.03798343986272812,
-0.06828146427869797,
0.05708298459649086,
-0.07846599072217941,
0.011218651197850704,
0.02961919829249382,
0.00911265704780817,
-0.062405407428741455,
0.0006951114628463984,
0.03628629073500633,
0.02977597713470459,
-0.09806235879659653,
0.02827385999262333,
-0.026685789227485657,
0.03719749674201012,
-0.09866449981927872,
-0.011764642782509327,
-0.07090379297733307,
-0.00011387914855731651,
-0.0007342585595324636,
-0.11744318157434464,
-0.05560806021094322,
-0.049346793442964554,
-0.021673433482646942,
0.06264737993478775,
0.047516487538814545,
-0.015121999196708202,
0.003395326668396592,
-0.014479170553386211,
0.058638736605644226,
0.036209721118211746,
0.010026291944086552,
0.04002809152007103,
0.03620133921504021,
-0.04489230364561081,
0.08723288774490356,
0.01375806424766779,
-0.036398883908987045,
0.10290022939443588,
0.0350697785615921,
-0.07010917365550995,
0.03834028169512749,
-0.023895082995295525,
0.0370551198720932,
-0.05895977467298508,
-0.020284583792090416,
-0.061980150640010834,
-0.0852394625544548,
0.04885515943169594,
0.04910286143422127,
-0.04942193999886513,
-0.011852619238197803,
0.002173067769035697,
-0.044731296598911285,
-0.04099973291158676,
0.00555456755682826,
0.009722961112856865,
-0.07138518244028091,
0.04360046610236168,
-0.056067317724227905,
0.013951127417385578,
0.07300950586795807,
-2.2202291896175e-34,
0.0047014388255774975,
0.0018541112076491117,
-0.00555287254974246,
0.028798798099160194,
0.051767345517873764,
-0.0634014680981636,
-0.08074792474508286,
-0.09678526967763901,
-0.029501736164093018,
0.03630681335926056,
-0.12231145799160004,
0.047097109258174896,
0.07080967724323273,
-0.03916054219007492,
-0.02746560238301754,
-0.031175071373581886,
-0.019685689359903336,
-0.05591708421707153,
0.03606240078806877,
0.010910773649811745,
0.06209726631641388,
0.06776053458452225,
-0.08393736183643341,
0.043550990521907806,
0.037980370223522186,
0.06072792038321495,
-0.07510006427764893,
0.04925894737243652,
-0.0272605549544096,
0.03851206600666046,
-0.02664148062467575,
-0.08114705234766006,
-0.06587541103363037,
-0.038586582988500595,
-0.029429877176880836,
0.0355195626616478,
0.006039983127266169,
0.09675338119268417,
-0.07091601192951202,
0.08736582100391388,
-0.01155345980077982,
-0.09030501544475555,
-0.0841105654835701,
0.034080762416124344,
0.08228540420532227,
-0.07735393941402435,
0.02164914458990097,
-0.05614599958062172,
0.057427868247032166,
-0.07240021973848343,
0.004394552204757929,
0.05605647712945938,
-0.003100884612649679,
0.037165991961956024,
-0.0543348602950573,
0.05379459261894226,
0.00883159227669239,
-0.036140985786914825,
0.1090753972530365,
-0.06702181696891785,
-0.05085001513361931,
0.02154712751507759,
-0.029887773096561432,
0.0583895668387413,
-0.030173610895872116,
-0.06218671053647995,
-0.006431255955249071,
-0.04656844213604927,
-0.01344587467610836,
0.017014427110552788,
0.009297560900449753,
-0.0335480198264122,
0.002939523896202445,
-0.005619138013571501,
0.0025088987313210964,
0.07787901163101196,
0.032348863780498505,
0.0700458437204361,
0.03002147562801838,
0.006322045344859362,
-0.07623538374900818,
0.05446171388030052,
0.06137983500957489,
0.001233593444339931,
-0.012341739609837532,
-0.026351671665906906,
0.053119510412216187,
0.02108379639685154,
-0.009934776462614536,
-0.004750241991132498,
0.0037699046079069376,
-0.0303276926279068,
0.006954248994588852,
0.03703460469841957,
-0.07863310724496841,
-5.189195562138593e-8,
-0.03597309812903404,
-0.07703354954719543,
-0.0406096987426281,
0.020988358184695244,
0.033983372151851654,
-0.04681605100631714,
0.0020507669541984797,
0.061989426612854004,
-0.030286740511655807,
0.0007983184768818319,
0.08071170747280121,
0.01989264041185379,
0.02384195290505886,
0.07838500291109085,
-0.029965905472636223,
0.02777419611811638,
-0.02117827907204628,
0.03278423100709915,
-0.05590095743536949,
-0.033922985196113586,
0.02538551762700081,
0.023740822449326515,
0.08680814504623413,
-0.06316091865301132,
0.0075370799750089645,
0.0037667162250727415,
-0.04187222942709923,
-0.061915162950754166,
0.024912867695093155,
0.15263380110263824,
0.008026331663131714,
-0.00958755612373352,
0.03891496732831001,
0.015832308679819107,
0.07303573936223984,
0.043934859335422516,
-0.11346880346536636,
-0.015235494822263718,
-0.0495624914765358,
-0.03264531493186951,
-0.0037434084806591272,
-0.038056932389736176,
-0.05800788104534149,
0.010617878288030624,
0.10536544024944305,
0.015154927037656307,
-0.10545875877141953,
-0.030787309631705284,
0.03771841153502464,
0.041748885065317154,
-0.026281200349330902,
-0.021874064579606056,
-0.061981603503227234,
-0.011854543350636959,
0.07590407878160477,
-0.053411297500133514,
0.013458091765642166,
-0.025362692773342133,
0.03784701228141785,
-0.04757583141326904,
-0.023043321445584297,
0.030089307576417923,
-0.029063208028674126,
0.008389899507164955
] | null | null | null | null | null | null | null |
[
0.015206264331936836,
-0.03092234395444393,
-0.04880395904183388,
-0.0510629266500473,
0.01837991736829281,
0.04039863497018814,
0.12088469415903091,
0.0013560437364503741,
0.02138318307697773,
0.07201387733221054,
-0.04490431398153305,
0.02429334633052349,
0.07897374033927917,
0.12586623430252075,
0.014523399993777275,
0.047586921602487564,
0.1636759340763092,
0.048770755529403687,
-0.09696856141090393,
0.0065485225059092045,
-0.014786467887461185,
-0.04614987224340439,
0.00014118943363428116,
-0.04224519431591034,
-0.0692705288529396,
-0.033330317586660385,
0.024812549352645874,
-0.025533370673656464,
0.03622321039438248,
-0.06785425543785095,
0.05270727351307869,
0.05259080231189728,
0.0815136581659317,
-0.00777954887598753,
0.04063689708709717,
0.024945901706814766,
-0.08134531229734421,
-0.06704933196306229,
0.03246535360813141,
0.042923055589199066,
-0.005783769302070141,
0.028072457760572433,
-0.030660077929496765,
-0.007364385761320591,
-0.018862847238779068,
-0.023001912981271744,
0.0058073485270142555,
0.006594465579837561,
-0.036012131720781326,
0.015225849114358425,
0.0010844680946320295,
0.034037575125694275,
-0.044130608439445496,
0.006103332620114088,
0.011093919165432453,
-0.005199173931032419,
-0.0664345771074295,
-0.0476289838552475,
-0.05794795975089073,
-0.050521120429039,
-0.0028779893182218075,
-0.05408543720841408,
-0.0227055661380291,
-0.027946550399065018,
0.07544448971748352,
0.013992798514664173,
-0.04331400245428085,
0.022804494947195053,
-0.10118865221738815,
0.05792907997965813,
0.0032078048679977655,
-0.033524204045534134,
-0.0078010717406868935,
-0.02421913668513298,
0.07135055959224701,
0.02716597355902195,
0.06332441419363022,
-0.05767703056335449,
0.014183118008077145,
-0.01406923308968544,
-0.043892741203308105,
0.017388558015227318,
-0.06427927315235138,
-0.005334491841495037,
0.02539592795073986,
-0.07368193566799164,
0.004762664902955294,
-0.024214766919612885,
0.06922336667776108,
0.04250188544392586,
-0.06250716745853424,
-0.01128619909286499,
0.09097303450107574,
0.009772004559636116,
0.08028585463762283,
0.03494167700409889,
-0.01762855052947998,
-0.10848449170589447,
0.011645748279988766,
0.09159692376852036,
-0.045806266367435455,
0.028262071311473846,
0.06040323153138161,
-0.011477806605398655,
0.009098531678318977,
-0.08557107299566269,
-0.0010642202105373144,
0.0225362665951252,
0.0023780683986842632,
-0.047149304300546646,
-0.01706404983997345,
0.017627408728003502,
0.0046313125640153885,
0.04301593080163002,
-0.05343890190124512,
-0.07037854194641113,
0.07959423959255219,
0.02686433680355549,
0.048256345093250275,
-0.07011091709136963,
0.07035963982343674,
-0.054491929709911346,
0.1061667650938034,
0.08748599886894226,
0.005967389792203903,
0.0698271319270134,
0.06997012346982956,
-1.044036980859908e-33,
-0.10858681052923203,
-0.016842246055603027,
0.05003896728157997,
-0.04289519041776657,
0.0218654852360487,
-0.03922848403453827,
0.005059127230197191,
-0.007163683418184519,
0.02798912674188614,
0.011526191607117653,
-0.05638311803340912,
0.10611177980899811,
-0.009640875272452831,
0.06791862100362778,
0.10697312653064728,
0.0013242894783616066,
-0.05468887835741043,
0.08882628381252289,
0.03624546900391579,
-0.08975329250097275,
0.046392329037189484,
0.029044421389698982,
0.012826580554246902,
-0.03295694664120674,
-0.04467977210879326,
-0.05747632682323456,
-0.049941934645175934,
-0.03432883322238922,
-0.0004888089606538415,
-0.009000570513308048,
-0.038200974464416504,
0.07727083563804626,
0.05147214233875275,
0.03798343986272812,
-0.06828146427869797,
0.05708298459649086,
-0.07846599072217941,
0.011218651197850704,
0.02961919829249382,
0.00911265704780817,
-0.062405407428741455,
0.0006951114628463984,
0.03628629073500633,
0.02977597713470459,
-0.09806235879659653,
0.02827385999262333,
-0.026685789227485657,
0.03719749674201012,
-0.09866449981927872,
-0.011764642782509327,
-0.07090379297733307,
-0.00011387914855731651,
-0.0007342585595324636,
-0.11744318157434464,
-0.05560806021094322,
-0.049346793442964554,
-0.021673433482646942,
0.06264737993478775,
0.047516487538814545,
-0.015121999196708202,
0.003395326668396592,
-0.014479170553386211,
0.058638736605644226,
0.036209721118211746,
0.010026291944086552,
0.04002809152007103,
0.03620133921504021,
-0.04489230364561081,
0.08723288774490356,
0.01375806424766779,
-0.036398883908987045,
0.10290022939443588,
0.0350697785615921,
-0.07010917365550995,
0.03834028169512749,
-0.023895082995295525,
0.0370551198720932,
-0.05895977467298508,
-0.020284583792090416,
-0.061980150640010834,
-0.0852394625544548,
0.04885515943169594,
0.04910286143422127,
-0.04942193999886513,
-0.011852619238197803,
0.002173067769035697,
-0.044731296598911285,
-0.04099973291158676,
0.00555456755682826,
0.009722961112856865,
-0.07138518244028091,
0.04360046610236168,
-0.056067317724227905,
0.013951127417385578,
0.07300950586795807,
-2.2202291896175e-34,
0.0047014388255774975,
0.0018541112076491117,
-0.00555287254974246,
0.028798798099160194,
0.051767345517873764,
-0.0634014680981636,
-0.08074792474508286,
-0.09678526967763901,
-0.029501736164093018,
0.03630681335926056,
-0.12231145799160004,
0.047097109258174896,
0.07080967724323273,
-0.03916054219007492,
-0.02746560238301754,
-0.031175071373581886,
-0.019685689359903336,
-0.05591708421707153,
0.03606240078806877,
0.010910773649811745,
0.06209726631641388,
0.06776053458452225,
-0.08393736183643341,
0.043550990521907806,
0.037980370223522186,
0.06072792038321495,
-0.07510006427764893,
0.04925894737243652,
-0.0272605549544096,
0.03851206600666046,
-0.02664148062467575,
-0.08114705234766006,
-0.06587541103363037,
-0.038586582988500595,
-0.029429877176880836,
0.0355195626616478,
0.006039983127266169,
0.09675338119268417,
-0.07091601192951202,
0.08736582100391388,
-0.01155345980077982,
-0.09030501544475555,
-0.0841105654835701,
0.034080762416124344,
0.08228540420532227,
-0.07735393941402435,
0.02164914458990097,
-0.05614599958062172,
0.057427868247032166,
-0.07240021973848343,
0.004394552204757929,
0.05605647712945938,
-0.003100884612649679,
0.037165991961956024,
-0.0543348602950573,
0.05379459261894226,
0.00883159227669239,
-0.036140985786914825,
0.1090753972530365,
-0.06702181696891785,
-0.05085001513361931,
0.02154712751507759,
-0.029887773096561432,
0.0583895668387413,
-0.030173610895872116,
-0.06218671053647995,
-0.006431255955249071,
-0.04656844213604927,
-0.01344587467610836,
0.017014427110552788,
0.009297560900449753,
-0.0335480198264122,
0.002939523896202445,
-0.005619138013571501,
0.0025088987313210964,
0.07787901163101196,
0.032348863780498505,
0.0700458437204361,
0.03002147562801838,
0.006322045344859362,
-0.07623538374900818,
0.05446171388030052,
0.06137983500957489,
0.001233593444339931,
-0.012341739609837532,
-0.026351671665906906,
0.053119510412216187,
0.02108379639685154,
-0.009934776462614536,
-0.004750241991132498,
0.0037699046079069376,
-0.0303276926279068,
0.006954248994588852,
0.03703460469841957,
-0.07863310724496841,
-5.189195562138593e-8,
-0.03597309812903404,
-0.07703354954719543,
-0.0406096987426281,
0.020988358184695244,
0.033983372151851654,
-0.04681605100631714,
0.0020507669541984797,
0.061989426612854004,
-0.030286740511655807,
0.0007983184768818319,
0.08071170747280121,
0.01989264041185379,
0.02384195290505886,
0.07838500291109085,
-0.029965905472636223,
0.02777419611811638,
-0.02117827907204628,
0.03278423100709915,
-0.05590095743536949,
-0.033922985196113586,
0.02538551762700081,
0.023740822449326515,
0.08680814504623413,
-0.06316091865301132,
0.0075370799750089645,
0.0037667162250727415,
-0.04187222942709923,
-0.061915162950754166,
0.024912867695093155,
0.15263380110263824,
0.008026331663131714,
-0.00958755612373352,
0.03891496732831001,
0.015832308679819107,
0.07303573936223984,
0.043934859335422516,
-0.11346880346536636,
-0.015235494822263718,
-0.0495624914765358,
-0.03264531493186951,
-0.0037434084806591272,
-0.038056932389736176,
-0.05800788104534149,
0.010617878288030624,
0.10536544024944305,
0.015154927037656307,
-0.10545875877141953,
-0.030787309631705284,
0.03771841153502464,
0.041748885065317154,
-0.026281200349330902,
-0.021874064579606056,
-0.061981603503227234,
-0.011854543350636959,
0.07590407878160477,
-0.053411297500133514,
0.013458091765642166,
-0.025362692773342133,
0.03784701228141785,
-0.04757583141326904,
-0.023043321445584297,
0.030089307576417923,
-0.029063208028674126,
0.008389899507164955
] |
1402.3052
|
Malte Kaluza C
|
A. S\"avert, S. P. D. Mangles, M. Schnell, E. Siminos, J. M. Cole, M.
Leier, M. Reuter, M. B. Schwab, M. M\"oller, K. Poder, O. J\"ackel, G. G.
Paulus, C. Spielmann, S. Skupin, Z. Najmudin, and M. C. Kaluza
|
Direct observation of the injection dynamics of a laser wakefield
accelerator using few-femtosecond shadowgraphy
|
5 pages, 4 figures
|
Physical Review Letters 115, 055002 (2015)
|
10.1103/PhysRevLett.115.055002
| null |
physics.plasm-ph physics.acc-ph physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present few-femtosecond shadowgraphic snapshots taken during the
non-linear evolution of the plasma wave in a laser wakefield accelerator with
transverse synchronized few-cycle probe pulses. These snapshots can be directly
associated with the electron density distribution within the plasma wave and
give quantitative information about its size and shape. Our results show that
self-injection of electrons into the first plasma wave period is induced by a
lengthening of the first plasma period. Three dimensional particle in cell
simulations support our observations.
|
[
{
"created": "Thu, 13 Feb 2014 07:40:58 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jul 2015 08:51:52 GMT",
"version": "v2"
}
] |
2015-08-03
|
[
[
"Sävert",
"A.",
""
],
[
"Mangles",
"S. P. D.",
""
],
[
"Schnell",
"M.",
""
],
[
"Siminos",
"E.",
""
],
[
"Cole",
"J. M.",
""
],
[
"Leier",
"M.",
""
],
[
"Reuter",
"M.",
""
],
[
"Schwab",
"M. B.",
""
],
[
"Möller",
"M.",
""
],
[
"Poder",
"K.",
""
],
[
"Jäckel",
"O.",
""
],
[
"Paulus",
"G. G.",
""
],
[
"Spielmann",
"C.",
""
],
[
"Skupin",
"S.",
""
],
[
"Najmudin",
"Z.",
""
],
[
"Kaluza",
"M. C.",
""
]
] |
[
-0.03843149170279503,
0.005422974471002817,
-0.014830920845270157,
0.09826647490262985,
-0.145915687084198,
-0.047231823205947876,
-0.08722864091396332,
-0.04087594896554947,
-0.05740555748343468,
-0.08164973556995392,
0.03556942939758301,
-0.031088391318917274,
-0.0024569539818912745,
-0.07212428003549576,
0.008233589120209217,
-0.036803651601076126,
0.02442384697496891,
-0.040221866220235825,
0.06927334517240524,
0.014931117184460163,
-0.04229273647069931,
-0.11849065870046616,
-0.037462398409843445,
-0.05572827532887459,
0.09877388924360275,
-0.0008732540882192552,
0.007091951090842485,
-0.042215533554553986,
-0.024945726618170738,
-0.018339617177844048,
0.06467403471469879,
0.013566115871071815,
-0.07988573610782623,
0.08120857924222946,
0.08482123166322708,
-0.02827344462275505,
0.018120091408491135,
0.024716835469007492,
0.060723088681697845,
0.035674311220645905,
0.047972600907087326,
-0.056209951639175415,
-0.0613948218524456,
0.014755363576114178,
0.037998393177986145,
-0.023063648492097855,
0.048896778374910355,
-0.09281060844659805,
-0.048089973628520966,
0.08529586344957352,
-0.0009724104893393815,
0.06669925153255463,
0.0056267064064741135,
0.0069982013665139675,
-0.002543990733101964,
-0.0012050368823111057,
0.010389839299023151,
0.05082711577415466,
0.017102466896176338,
-0.0067587303929030895,
-0.01761654019355774,
0.0008671862306073308,
-0.03048635646700859,
0.025864174589514732,
0.04540257900953293,
-0.037975896149873734,
0.03376540169119835,
0.03139631077647209,
0.0061513748951256275,
-0.012218872085213661,
-0.008822387084364891,
0.06087289750576019,
0.03921116515994072,
-0.01569799892604351,
-0.018104078248143196,
-0.01664349064230919,
-0.002895329613238573,
0.023309675976634026,
-0.007961154915392399,
0.0034327046014368534,
0.028015296906232834,
0.046684738248586655,
-0.04526222124695778,
0.09574718773365021,
-0.10922645777463913,
0.09213878959417343,
0.0606626458466053,
-0.002775383647531271,
-0.08690059185028076,
-0.03265034779906273,
-0.039929185062646866,
-0.04262399673461914,
-0.06164564564824104,
0.030415166169404984,
0.009671860374510288,
-0.005674969404935837,
0.0682404413819313,
0.015425184741616249,
0.04903683066368103,
-0.029287736862897873,
0.04915216937661171,
-0.06224299967288971,
0.05598803609609604,
0.10662267357110977,
-0.058664895594120026,
0.008935412392020226,
-0.010708657093346119,
0.05341920629143715,
-0.035935401916503906,
0.06714384257793427,
0.07636592537164688,
0.028375353664159775,
-0.029961947351694107,
-0.03484397009015083,
0.14909328520298004,
0.03049042820930481,
-0.04195571318268776,
-0.024486184120178223,
0.022418390959501266,
-0.030719736590981483,
-0.01449986919760704,
-0.011388937942683697,
-0.0023795785382390022,
0.06854889541864395,
0.020818710327148438,
0.06263194978237152,
0.04349752515554428,
-4.2287869737291865e-35,
0.04002990573644638,
0.05528683960437775,
-0.011206897906959057,
-0.035245999693870544,
-0.012035244144499302,
0.031535554677248,
0.01928173378109932,
0.00823973584920168,
-0.062292665243148804,
0.028441233560442924,
-0.0031178374774754047,
0.07381709665060043,
0.07455283403396606,
-0.00594426691532135,
-0.052130576223134995,
-0.002852985868230462,
-0.05362437292933464,
0.04298212006688118,
0.0030329173896461725,
0.0605732761323452,
0.05630789324641228,
-0.010448786430060863,
-0.007840882055461407,
-0.007215576712042093,
-0.017907962203025818,
0.06794874370098114,
-0.02847871370613575,
0.030768297612667084,
-0.09463857114315033,
0.015358025208115578,
0.021829556673765182,
0.11043094098567963,
-0.008371162228286266,
-0.004607648588716984,
0.06661991775035858,
-0.03939294442534447,
-0.0226243007928133,
0.02255278080701828,
-0.041698306798934937,
-0.004430069588124752,
-0.04507516697049141,
0.02408500947058201,
-0.015332437120378017,
-0.08079113066196442,
0.016896799206733704,
-0.08758906275033951,
-0.010147282853722572,
-0.025726865977048874,
-0.0019171172752976418,
0.0018493183888494968,
0.0001337128778686747,
0.01716347225010395,
0.02598331868648529,
-0.03152037784457207,
0.08341806381940842,
0.012090968899428844,
0.07561422139406204,
-0.025468776002526283,
0.021662894636392593,
0.04523620009422302,
0.07963478565216064,
-0.02468683570623398,
0.002306233625859022,
0.028184564784169197,
-0.04481339827179909,
0.09127442538738251,
-0.03644596040248871,
0.0522414855659008,
0.010918090119957924,
0.050638407468795776,
-0.06964759528636932,
0.017490260303020477,
-0.04514544829726219,
-0.12369198352098465,
0.14794228971004486,
0.016727782785892487,
0.007532635238021612,
0.1445464938879013,
-0.058332957327365875,
-0.020199833437800407,
0.057484399527311325,
-0.1124994158744812,
-0.030097559094429016,
-0.04821382462978363,
-0.004011026117950678,
0.006346005946397781,
-0.06532295048236847,
0.010862602852284908,
-0.09849084168672562,
-0.05833561345934868,
-0.0011698201997205615,
-0.010008401237428188,
0.02327611856162548,
0.019066542387008667,
-0.050473589450120926,
-2.2731065071018367e-33,
0.03364294022321701,
0.00456771906465292,
-0.02114448882639408,
0.017860282212495804,
0.04591020941734314,
0.0636695921421051,
0.033309753984212875,
0.10496458411216736,
-0.08579764515161514,
0.05018593743443489,
0.0536518320441246,
0.07461199164390564,
-0.0540735125541687,
-0.0029977010563015938,
-0.043719980865716934,
-0.02612420730292797,
0.04496009647846222,
-0.08615943044424057,
0.04910757392644882,
-0.031692150980234146,
0.05132080242037773,
-0.030987756326794624,
0.043955542147159576,
-0.002387314336374402,
0.0786663368344307,
-0.008122043684124947,
0.03095385804772377,
-0.08932945877313614,
0.05302956700325012,
-0.0366998165845871,
-0.0649656355381012,
-0.013799265958368778,
0.07394532859325409,
-0.025005975738167763,
-0.002039217157289386,
0.037493254989385605,
0.0061373114585876465,
0.029276710003614426,
0.03519538789987564,
-0.10343796014785767,
-0.05870085954666138,
0.042724672704935074,
0.04359302669763565,
0.02051294408738613,
0.023479172959923744,
0.061882779002189636,
0.0047846524976193905,
0.039816830307245255,
0.041438743472099304,
0.05805341526865959,
-0.04432940483093262,
0.017054395750164986,
0.028728360310196877,
0.02738093212246895,
-0.004986126907169819,
0.004099699668586254,
0.007783145178109407,
0.014626055024564266,
0.1025332510471344,
-0.04692011699080467,
-0.10923292487859726,
-0.08529040217399597,
0.05486347898840904,
-0.06238243728876114,
0.014435949735343456,
-0.059443239122629166,
-0.0843355655670166,
0.04114869236946106,
-0.054446570575237274,
-0.02671601064503193,
0.07015219330787659,
0.02500033751130104,
0.00016538183263037354,
-0.02375807613134384,
-0.06623600423336029,
-0.020089812576770782,
0.07062197476625443,
-0.04819119721651077,
-0.0067904116585850716,
0.024264095351099968,
0.027263015508651733,
-0.03792433440685272,
-0.025857163593173027,
-0.011886821128427982,
0.04282025992870331,
-0.006285959389060736,
-0.026267921552062035,
-0.03169293701648712,
-0.046085331588983536,
0.002924229484051466,
0.010535051114857197,
0.007152905687689781,
0.011285722255706787,
-0.07596005499362946,
0.09949851036071777,
-3.706141882275915e-8,
0.024424776434898376,
-0.026532335206866264,
-0.017220916226506233,
0.08809804916381836,
0.0976230800151825,
-0.03556723892688751,
-0.04280579090118408,
0.03551847115159035,
0.010698305442929268,
-0.04070161655545235,
0.052381884306669235,
0.07871463149785995,
-0.0034495112486183643,
-0.03140969201922417,
0.009294241666793823,
-0.013585928827524185,
-0.08696096390485764,
-0.09907745569944382,
0.02899186871945858,
0.07154024392366409,
-0.014599238522350788,
-0.04924655705690384,
0.02675139345228672,
-0.014306901022791862,
-0.025131795555353165,
0.022218788042664528,
0.024686181917786598,
-0.07382471114397049,
-0.009545259177684784,
-0.09513085335493088,
-0.08623293787240982,
-0.007029011379927397,
0.036201998591423035,
-0.0482475720345974,
-0.13587526977062225,
-0.012080010958015919,
-0.06017666310071945,
0.04132932052016258,
0.027353039011359215,
-0.053102556616067886,
-0.04804771766066551,
-0.03269725292921066,
0.06092458963394165,
-0.0461847148835659,
-0.06209772080183029,
0.06787877529859543,
-0.04232533276081085,
-0.1209002137184143,
-0.03185078129172325,
0.002595793455839157,
-0.06098175421357155,
-0.05415911227464676,
0.012332688085734844,
-0.09521153569221497,
0.00010934658348560333,
0.054554883390665054,
-0.04606953263282776,
-0.09432591497898102,
0.0844430923461914,
0.0213028397411108,
0.06116173043847084,
0.01661079004406929,
0.005447313655167818,
0.02496236562728882
] | null | null | null | null | null | null | null |
[
-0.03843149170279503,
0.005422974471002817,
-0.014830920845270157,
0.09826647490262985,
-0.145915687084198,
-0.047231823205947876,
-0.08722864091396332,
-0.04087594896554947,
-0.05740555748343468,
-0.08164973556995392,
0.03556942939758301,
-0.031088391318917274,
-0.0024569539818912745,
-0.07212428003549576,
0.008233589120209217,
-0.036803651601076126,
0.02442384697496891,
-0.040221866220235825,
0.06927334517240524,
0.014931117184460163,
-0.04229273647069931,
-0.11849065870046616,
-0.037462398409843445,
-0.05572827532887459,
0.09877388924360275,
-0.0008732540882192552,
0.007091951090842485,
-0.042215533554553986,
-0.024945726618170738,
-0.018339617177844048,
0.06467403471469879,
0.013566115871071815,
-0.07988573610782623,
0.08120857924222946,
0.08482123166322708,
-0.02827344462275505,
0.018120091408491135,
0.024716835469007492,
0.060723088681697845,
0.035674311220645905,
0.047972600907087326,
-0.056209951639175415,
-0.0613948218524456,
0.014755363576114178,
0.037998393177986145,
-0.023063648492097855,
0.048896778374910355,
-0.09281060844659805,
-0.048089973628520966,
0.08529586344957352,
-0.0009724104893393815,
0.06669925153255463,
0.0056267064064741135,
0.0069982013665139675,
-0.002543990733101964,
-0.0012050368823111057,
0.010389839299023151,
0.05082711577415466,
0.017102466896176338,
-0.0067587303929030895,
-0.01761654019355774,
0.0008671862306073308,
-0.03048635646700859,
0.025864174589514732,
0.04540257900953293,
-0.037975896149873734,
0.03376540169119835,
0.03139631077647209,
0.0061513748951256275,
-0.012218872085213661,
-0.008822387084364891,
0.06087289750576019,
0.03921116515994072,
-0.01569799892604351,
-0.018104078248143196,
-0.01664349064230919,
-0.002895329613238573,
0.023309675976634026,
-0.007961154915392399,
0.0034327046014368534,
0.028015296906232834,
0.046684738248586655,
-0.04526222124695778,
0.09574718773365021,
-0.10922645777463913,
0.09213878959417343,
0.0606626458466053,
-0.002775383647531271,
-0.08690059185028076,
-0.03265034779906273,
-0.039929185062646866,
-0.04262399673461914,
-0.06164564564824104,
0.030415166169404984,
0.009671860374510288,
-0.005674969404935837,
0.0682404413819313,
0.015425184741616249,
0.04903683066368103,
-0.029287736862897873,
0.04915216937661171,
-0.06224299967288971,
0.05598803609609604,
0.10662267357110977,
-0.058664895594120026,
0.008935412392020226,
-0.010708657093346119,
0.05341920629143715,
-0.035935401916503906,
0.06714384257793427,
0.07636592537164688,
0.028375353664159775,
-0.029961947351694107,
-0.03484397009015083,
0.14909328520298004,
0.03049042820930481,
-0.04195571318268776,
-0.024486184120178223,
0.022418390959501266,
-0.030719736590981483,
-0.01449986919760704,
-0.011388937942683697,
-0.0023795785382390022,
0.06854889541864395,
0.020818710327148438,
0.06263194978237152,
0.04349752515554428,
-4.2287869737291865e-35,
0.04002990573644638,
0.05528683960437775,
-0.011206897906959057,
-0.035245999693870544,
-0.012035244144499302,
0.031535554677248,
0.01928173378109932,
0.00823973584920168,
-0.062292665243148804,
0.028441233560442924,
-0.0031178374774754047,
0.07381709665060043,
0.07455283403396606,
-0.00594426691532135,
-0.052130576223134995,
-0.002852985868230462,
-0.05362437292933464,
0.04298212006688118,
0.0030329173896461725,
0.0605732761323452,
0.05630789324641228,
-0.010448786430060863,
-0.007840882055461407,
-0.007215576712042093,
-0.017907962203025818,
0.06794874370098114,
-0.02847871370613575,
0.030768297612667084,
-0.09463857114315033,
0.015358025208115578,
0.021829556673765182,
0.11043094098567963,
-0.008371162228286266,
-0.004607648588716984,
0.06661991775035858,
-0.03939294442534447,
-0.0226243007928133,
0.02255278080701828,
-0.041698306798934937,
-0.004430069588124752,
-0.04507516697049141,
0.02408500947058201,
-0.015332437120378017,
-0.08079113066196442,
0.016896799206733704,
-0.08758906275033951,
-0.010147282853722572,
-0.025726865977048874,
-0.0019171172752976418,
0.0018493183888494968,
0.0001337128778686747,
0.01716347225010395,
0.02598331868648529,
-0.03152037784457207,
0.08341806381940842,
0.012090968899428844,
0.07561422139406204,
-0.025468776002526283,
0.021662894636392593,
0.04523620009422302,
0.07963478565216064,
-0.02468683570623398,
0.002306233625859022,
0.028184564784169197,
-0.04481339827179909,
0.09127442538738251,
-0.03644596040248871,
0.0522414855659008,
0.010918090119957924,
0.050638407468795776,
-0.06964759528636932,
0.017490260303020477,
-0.04514544829726219,
-0.12369198352098465,
0.14794228971004486,
0.016727782785892487,
0.007532635238021612,
0.1445464938879013,
-0.058332957327365875,
-0.020199833437800407,
0.057484399527311325,
-0.1124994158744812,
-0.030097559094429016,
-0.04821382462978363,
-0.004011026117950678,
0.006346005946397781,
-0.06532295048236847,
0.010862602852284908,
-0.09849084168672562,
-0.05833561345934868,
-0.0011698201997205615,
-0.010008401237428188,
0.02327611856162548,
0.019066542387008667,
-0.050473589450120926,
-2.2731065071018367e-33,
0.03364294022321701,
0.00456771906465292,
-0.02114448882639408,
0.017860282212495804,
0.04591020941734314,
0.0636695921421051,
0.033309753984212875,
0.10496458411216736,
-0.08579764515161514,
0.05018593743443489,
0.0536518320441246,
0.07461199164390564,
-0.0540735125541687,
-0.0029977010563015938,
-0.043719980865716934,
-0.02612420730292797,
0.04496009647846222,
-0.08615943044424057,
0.04910757392644882,
-0.031692150980234146,
0.05132080242037773,
-0.030987756326794624,
0.043955542147159576,
-0.002387314336374402,
0.0786663368344307,
-0.008122043684124947,
0.03095385804772377,
-0.08932945877313614,
0.05302956700325012,
-0.0366998165845871,
-0.0649656355381012,
-0.013799265958368778,
0.07394532859325409,
-0.025005975738167763,
-0.002039217157289386,
0.037493254989385605,
0.0061373114585876465,
0.029276710003614426,
0.03519538789987564,
-0.10343796014785767,
-0.05870085954666138,
0.042724672704935074,
0.04359302669763565,
0.02051294408738613,
0.023479172959923744,
0.061882779002189636,
0.0047846524976193905,
0.039816830307245255,
0.041438743472099304,
0.05805341526865959,
-0.04432940483093262,
0.017054395750164986,
0.028728360310196877,
0.02738093212246895,
-0.004986126907169819,
0.004099699668586254,
0.007783145178109407,
0.014626055024564266,
0.1025332510471344,
-0.04692011699080467,
-0.10923292487859726,
-0.08529040217399597,
0.05486347898840904,
-0.06238243728876114,
0.014435949735343456,
-0.059443239122629166,
-0.0843355655670166,
0.04114869236946106,
-0.054446570575237274,
-0.02671601064503193,
0.07015219330787659,
0.02500033751130104,
0.00016538183263037354,
-0.02375807613134384,
-0.06623600423336029,
-0.020089812576770782,
0.07062197476625443,
-0.04819119721651077,
-0.0067904116585850716,
0.024264095351099968,
0.027263015508651733,
-0.03792433440685272,
-0.025857163593173027,
-0.011886821128427982,
0.04282025992870331,
-0.006285959389060736,
-0.026267921552062035,
-0.03169293701648712,
-0.046085331588983536,
0.002924229484051466,
0.010535051114857197,
0.007152905687689781,
0.011285722255706787,
-0.07596005499362946,
0.09949851036071777,
-3.706141882275915e-8,
0.024424776434898376,
-0.026532335206866264,
-0.017220916226506233,
0.08809804916381836,
0.0976230800151825,
-0.03556723892688751,
-0.04280579090118408,
0.03551847115159035,
0.010698305442929268,
-0.04070161655545235,
0.052381884306669235,
0.07871463149785995,
-0.0034495112486183643,
-0.03140969201922417,
0.009294241666793823,
-0.013585928827524185,
-0.08696096390485764,
-0.09907745569944382,
0.02899186871945858,
0.07154024392366409,
-0.014599238522350788,
-0.04924655705690384,
0.02675139345228672,
-0.014306901022791862,
-0.025131795555353165,
0.022218788042664528,
0.024686181917786598,
-0.07382471114397049,
-0.009545259177684784,
-0.09513085335493088,
-0.08623293787240982,
-0.007029011379927397,
0.036201998591423035,
-0.0482475720345974,
-0.13587526977062225,
-0.012080010958015919,
-0.06017666310071945,
0.04132932052016258,
0.027353039011359215,
-0.053102556616067886,
-0.04804771766066551,
-0.03269725292921066,
0.06092458963394165,
-0.0461847148835659,
-0.06209772080183029,
0.06787877529859543,
-0.04232533276081085,
-0.1209002137184143,
-0.03185078129172325,
0.002595793455839157,
-0.06098175421357155,
-0.05415911227464676,
0.012332688085734844,
-0.09521153569221497,
0.00010934658348560333,
0.054554883390665054,
-0.04606953263282776,
-0.09432591497898102,
0.0844430923461914,
0.0213028397411108,
0.06116173043847084,
0.01661079004406929,
0.005447313655167818,
0.02496236562728882
] |
1402.3054
|
A. I. Milstein
|
R.N. Lee and A.I. Milstein
|
Coulomb corrections to electron scattering on the extended source and
the proton charge radius
|
4 pages, 1 figure
| null | null | null |
hep-ph nucl-th physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that the account for the proton charge form factor in the Coulomb
corrections to the electron-proton scattering cross section noticeably
diminishes the difference between the value of the proton charge radius
$r_{\mathrm{E}}$, extracted from the $ep$ scattering data, and that following
from the muonic hydrogen data. For the electron energy much higher than the
electron mass but much smaller than $r_{\mathrm{E}}^{-1}\approx 230$~MeV, the
relative correction has the universal form $\delta
r_{\mathrm{E}}/r_{\mathrm{E}}=-\pi\alpha/2$, where $\alpha$ is the fine
structure constant.
|
[
{
"created": "Thu, 13 Feb 2014 07:42:11 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Lee",
"R. N.",
""
],
[
"Milstein",
"A. I.",
""
]
] |
[
-0.0201049093157053,
0.05955704301595688,
0.02628869190812111,
0.013805104419589043,
0.06972171366214752,
-0.012117847800254822,
-0.02856121025979519,
0.10497288405895233,
-0.020009759813547134,
-0.06357626616954803,
0.08755741268396378,
-0.0651690661907196,
-0.038497280329465866,
0.02192576602101326,
0.03759516403079033,
-0.13647142052650452,
0.022841311991214752,
0.035179655998945236,
-0.05619056150317192,
0.025629015639424324,
-0.04076409339904785,
-0.020755257457494736,
0.12704430520534515,
-0.024953942745923996,
0.05473749712109566,
0.0010648216120898724,
0.07156050950288773,
0.051941655576229095,
0.032482657581567764,
-0.11739102751016617,
0.09853218495845795,
0.054779037833213806,
0.06982969492673874,
0.022952288389205933,
0.047795653343200684,
-0.001614095875993371,
-0.00518997386097908,
-0.05042583495378494,
0.0693349689245224,
0.005004093050956726,
0.05064685270190239,
0.0987202599644661,
0.011079968884587288,
0.023074885830283165,
-0.014787045307457447,
-0.002032868331298232,
0.06207100674510002,
-0.043489839881658554,
-0.004085173364728689,
-0.01571107655763626,
0.11732760816812515,
0.013160108588635921,
0.040189120918512344,
-0.03180627524852753,
-0.044978927820920944,
0.033704500645399094,
0.0016836149152368307,
0.02983923815190792,
-0.02511582523584366,
-0.000028575206670211628,
-0.05630800127983093,
-0.01128065399825573,
-0.0034399041905999184,
-0.03293507173657417,
-0.007374649401754141,
-0.02940410189330578,
0.03239860013127327,
-0.077112577855587,
-0.0038668857887387276,
0.02219707891345024,
-0.058671917766332626,
0.047891322523355484,
-0.06923256814479828,
-0.03199170157313347,
-0.044244006276130676,
0.026690026745200157,
-0.0036421106196939945,
-0.023778555914759636,
0.014451934024691582,
0.0043746731244027615,
-0.0010252733482047915,
-0.03235483914613724,
-0.10710543394088745,
-0.045069653540849686,
0.05466712266206741,
0.027525903657078743,
-0.03123088739812374,
-0.06170002743601799,
0.04896792396903038,
-0.03759866580367088,
0.10324186086654663,
-0.10752441734075546,
-0.045282572507858276,
0.01286120992153883,
-0.09360433369874954,
0.10351818799972534,
0.04541321471333504,
0.015064260922372341,
-0.0022457416635006666,
-0.0058446601033210754,
0.08468671143054962,
0.08339962363243103,
-0.004286567680537701,
0.052733197808265686,
-0.015150520019233227,
-0.037302166223526,
0.054541345685720444,
0.11594990640878677,
-0.018459314480423927,
-0.003115353872999549,
0.0668405219912529,
-0.10574284940958023,
-0.07456924021244049,
-0.03891626000404358,
0.029100295156240463,
0.027123741805553436,
0.049700040370225906,
0.047812290489673615,
0.019742274656891823,
-0.07605831325054169,
0.032184749841690063,
0.0658583715558052,
0.03457747772336006,
0.01755484752357006,
-0.022809552028775215,
0.010909001342952251,
-0.14184290170669556,
1.8356231418982906e-33,
0.05166603624820709,
0.08611976355314255,
-0.027648719027638435,
-0.0723092257976532,
-0.0314689502120018,
0.01370919682085514,
-0.02864190936088562,
0.04013196751475334,
-0.04762985557317734,
-0.01845841482281685,
-0.05470654368400574,
0.00935396645218134,
0.10862438380718231,
-0.12310147285461426,
-0.10447915643453598,
0.02828427217900753,
-0.06924659013748169,
0.04446956887841225,
-0.01757032237946987,
0.09703477472066879,
0.01425987295806408,
0.04145412892103195,
0.057882100343704224,
-0.0497073195874691,
0.004570208489894867,
0.011408694088459015,
-0.018423961475491524,
0.03247195482254028,
0.00461289007216692,
0.006316560786217451,
-0.004741710610687733,
0.03993963077664375,
0.04573388025164604,
0.06015390530228615,
-0.03709397092461586,
-0.05842660740017891,
-0.0887352004647255,
-0.021749582141637802,
0.0333881676197052,
-0.06980758160352707,
0.011503230780363083,
0.0341554656624794,
0.025712350383400917,
-0.06846921145915985,
0.023323243483901024,
-0.027847254648804665,
0.13101239502429962,
-0.07360409945249557,
0.01528549287468195,
-0.015042299404740334,
0.002130192006006837,
0.03252308443188667,
0.013246007263660431,
0.00486137205734849,
0.0027413528878241777,
-0.05788566544651985,
0.0530434250831604,
0.0715017020702362,
0.03500087931752205,
0.002530008787289262,
0.07152970880270004,
0.12154711782932281,
-0.020901722833514214,
0.024058466777205467,
0.000941286445595324,
0.03833682835102081,
-0.07480231672525406,
-0.033605046570301056,
0.001336229732260108,
0.08043534308671951,
-0.009122789837419987,
0.044856924563646317,
-0.005819539539515972,
0.03988314047455788,
0.0043160580098629,
0.006566229276359081,
-0.08571544289588928,
-0.019051270559430122,
0.05058339238166809,
0.04047974944114685,
-0.06514987349510193,
0.06042534112930298,
0.061539724469184875,
-0.001520334044471383,
-0.05682221055030823,
-0.061117738485336304,
0.01191902905702591,
0.022323789075016975,
-0.04597831144928932,
-0.03400333970785141,
0.09026035666465759,
-0.03365830332040787,
0.03192761912941933,
-0.02937895618379116,
-0.02624017558991909,
-1.6078312548211398e-33,
0.019269084557890892,
0.04958018660545349,
-0.002951578004285693,
0.03697653114795685,
-0.05051739141345024,
-0.017738597467541695,
0.05452432483434677,
0.02415190078318119,
0.03440246731042862,
-0.027459321543574333,
0.029513979330658913,
-0.01712445355951786,
-0.09238942712545395,
-0.07362563163042068,
0.15068495273590088,
0.0014657838037237525,
-0.030690085142850876,
0.08531380444765091,
0.03417936712503433,
-0.025482818484306335,
0.04529575631022453,
-0.008623994886875153,
0.05835626274347305,
0.005755358375608921,
0.021712277084589005,
-0.052217043936252594,
0.05404907092452049,
-0.11967328935861588,
0.04753519594669342,
-0.08530905842781067,
-0.1030849814414978,
0.007826236076653004,
-0.046322911977767944,
0.00673582823947072,
-0.005613613408058882,
-0.02075611799955368,
-0.056831635534763336,
0.015691103413701057,
0.008384344168007374,
-0.00668685045093298,
-0.009387466125190258,
0.04589613527059555,
0.04410022124648094,
0.01522059366106987,
0.041060347110033035,
0.014076483435928822,
-0.05258094146847725,
0.02399061620235443,
0.007476629689335823,
0.018056586384773254,
-0.03394130989909172,
-0.07898683845996857,
0.03411000967025757,
-0.0048744166269898415,
-0.000670110690407455,
0.058678608387708664,
0.027271563187241554,
0.022470248863101006,
0.021485228091478348,
-0.035501837730407715,
-0.09634911268949509,
-0.027646029368042946,
0.00020611776562873274,
0.03652948886156082,
-0.06039042770862579,
0.05586006119847298,
0.008843271061778069,
-0.042913537472486496,
-0.01597451977431774,
-0.028300253674387932,
-0.03560091182589531,
-0.11951939016580582,
-0.029808660969138145,
0.006433997768908739,
-0.08301433175802231,
-0.05401191860437393,
0.009676128625869751,
-0.031646307557821274,
0.03107348084449768,
0.018789146095514297,
-0.018673691898584366,
0.034289777278900146,
-0.05491051450371742,
-0.027203213423490524,
0.08011002838611603,
-0.02335565909743309,
-0.09327474981546402,
0.05027090013027191,
-0.036279428750276566,
0.008649579249322414,
-0.016203390434384346,
-0.025433624163269997,
0.0553012378513813,
0.04939071089029312,
0.02328553982079029,
-4.759456118108574e-8,
0.010797644034028053,
-0.06998945027589798,
-0.01936877705156803,
0.019812120124697685,
0.13649697601795197,
0.03694126382470131,
-0.08983197808265686,
-0.03810226544737816,
0.014331286773085594,
0.06011092662811279,
0.05102407559752464,
-0.01919175498187542,
0.01358442846685648,
0.034911248832941055,
-0.0387905016541481,
0.03510970249772072,
-0.02238723449409008,
-0.04431768134236336,
-0.025037243962287903,
0.01781289093196392,
-0.02470209077000618,
0.010426902212202549,
-0.0642215833067894,
-0.028694720938801765,
0.007194314152002335,
0.004307084251195192,
-0.06292325258255005,
0.0323125422000885,
-0.10053978860378265,
-0.07844927906990051,
-0.009614565409719944,
-0.03918331116437912,
0.09220605343580246,
0.08491677790880203,
0.00372052239254117,
-0.04966994747519493,
0.022305889055132866,
0.009688790887594223,
-0.03645170480012894,
0.0871504470705986,
0.03196270763874054,
-0.0314139761030674,
0.053707342594861984,
0.02459631860256195,
0.05396633222699165,
0.07145559787750244,
-0.022848324850201607,
0.028790533542633057,
-0.0418388657271862,
-0.03303098678588867,
0.014710077084600925,
0.0492577962577343,
-0.043281201273202896,
-0.036298058927059174,
-0.02790345624089241,
-0.06730974465608597,
-0.05023248866200447,
-0.044760387390851974,
0.014022985473275185,
-0.031830474734306335,
0.11984999477863312,
0.01306222379207611,
-0.013056540861725807,
0.029557323083281517
] | null | null | null | null | null | null | null |
[
-0.0201049093157053,
0.05955704301595688,
0.02628869190812111,
0.013805104419589043,
0.06972171366214752,
-0.012117847800254822,
-0.02856121025979519,
0.10497288405895233,
-0.020009759813547134,
-0.06357626616954803,
0.08755741268396378,
-0.0651690661907196,
-0.038497280329465866,
0.02192576602101326,
0.03759516403079033,
-0.13647142052650452,
0.022841311991214752,
0.035179655998945236,
-0.05619056150317192,
0.025629015639424324,
-0.04076409339904785,
-0.020755257457494736,
0.12704430520534515,
-0.024953942745923996,
0.05473749712109566,
0.0010648216120898724,
0.07156050950288773,
0.051941655576229095,
0.032482657581567764,
-0.11739102751016617,
0.09853218495845795,
0.054779037833213806,
0.06982969492673874,
0.022952288389205933,
0.047795653343200684,
-0.001614095875993371,
-0.00518997386097908,
-0.05042583495378494,
0.0693349689245224,
0.005004093050956726,
0.05064685270190239,
0.0987202599644661,
0.011079968884587288,
0.023074885830283165,
-0.014787045307457447,
-0.002032868331298232,
0.06207100674510002,
-0.043489839881658554,
-0.004085173364728689,
-0.01571107655763626,
0.11732760816812515,
0.013160108588635921,
0.040189120918512344,
-0.03180627524852753,
-0.044978927820920944,
0.033704500645399094,
0.0016836149152368307,
0.02983923815190792,
-0.02511582523584366,
-0.000028575206670211628,
-0.05630800127983093,
-0.01128065399825573,
-0.0034399041905999184,
-0.03293507173657417,
-0.007374649401754141,
-0.02940410189330578,
0.03239860013127327,
-0.077112577855587,
-0.0038668857887387276,
0.02219707891345024,
-0.058671917766332626,
0.047891322523355484,
-0.06923256814479828,
-0.03199170157313347,
-0.044244006276130676,
0.026690026745200157,
-0.0036421106196939945,
-0.023778555914759636,
0.014451934024691582,
0.0043746731244027615,
-0.0010252733482047915,
-0.03235483914613724,
-0.10710543394088745,
-0.045069653540849686,
0.05466712266206741,
0.027525903657078743,
-0.03123088739812374,
-0.06170002743601799,
0.04896792396903038,
-0.03759866580367088,
0.10324186086654663,
-0.10752441734075546,
-0.045282572507858276,
0.01286120992153883,
-0.09360433369874954,
0.10351818799972534,
0.04541321471333504,
0.015064260922372341,
-0.0022457416635006666,
-0.0058446601033210754,
0.08468671143054962,
0.08339962363243103,
-0.004286567680537701,
0.052733197808265686,
-0.015150520019233227,
-0.037302166223526,
0.054541345685720444,
0.11594990640878677,
-0.018459314480423927,
-0.003115353872999549,
0.0668405219912529,
-0.10574284940958023,
-0.07456924021244049,
-0.03891626000404358,
0.029100295156240463,
0.027123741805553436,
0.049700040370225906,
0.047812290489673615,
0.019742274656891823,
-0.07605831325054169,
0.032184749841690063,
0.0658583715558052,
0.03457747772336006,
0.01755484752357006,
-0.022809552028775215,
0.010909001342952251,
-0.14184290170669556,
1.8356231418982906e-33,
0.05166603624820709,
0.08611976355314255,
-0.027648719027638435,
-0.0723092257976532,
-0.0314689502120018,
0.01370919682085514,
-0.02864190936088562,
0.04013196751475334,
-0.04762985557317734,
-0.01845841482281685,
-0.05470654368400574,
0.00935396645218134,
0.10862438380718231,
-0.12310147285461426,
-0.10447915643453598,
0.02828427217900753,
-0.06924659013748169,
0.04446956887841225,
-0.01757032237946987,
0.09703477472066879,
0.01425987295806408,
0.04145412892103195,
0.057882100343704224,
-0.0497073195874691,
0.004570208489894867,
0.011408694088459015,
-0.018423961475491524,
0.03247195482254028,
0.00461289007216692,
0.006316560786217451,
-0.004741710610687733,
0.03993963077664375,
0.04573388025164604,
0.06015390530228615,
-0.03709397092461586,
-0.05842660740017891,
-0.0887352004647255,
-0.021749582141637802,
0.0333881676197052,
-0.06980758160352707,
0.011503230780363083,
0.0341554656624794,
0.025712350383400917,
-0.06846921145915985,
0.023323243483901024,
-0.027847254648804665,
0.13101239502429962,
-0.07360409945249557,
0.01528549287468195,
-0.015042299404740334,
0.002130192006006837,
0.03252308443188667,
0.013246007263660431,
0.00486137205734849,
0.0027413528878241777,
-0.05788566544651985,
0.0530434250831604,
0.0715017020702362,
0.03500087931752205,
0.002530008787289262,
0.07152970880270004,
0.12154711782932281,
-0.020901722833514214,
0.024058466777205467,
0.000941286445595324,
0.03833682835102081,
-0.07480231672525406,
-0.033605046570301056,
0.001336229732260108,
0.08043534308671951,
-0.009122789837419987,
0.044856924563646317,
-0.005819539539515972,
0.03988314047455788,
0.0043160580098629,
0.006566229276359081,
-0.08571544289588928,
-0.019051270559430122,
0.05058339238166809,
0.04047974944114685,
-0.06514987349510193,
0.06042534112930298,
0.061539724469184875,
-0.001520334044471383,
-0.05682221055030823,
-0.061117738485336304,
0.01191902905702591,
0.022323789075016975,
-0.04597831144928932,
-0.03400333970785141,
0.09026035666465759,
-0.03365830332040787,
0.03192761912941933,
-0.02937895618379116,
-0.02624017558991909,
-1.6078312548211398e-33,
0.019269084557890892,
0.04958018660545349,
-0.002951578004285693,
0.03697653114795685,
-0.05051739141345024,
-0.017738597467541695,
0.05452432483434677,
0.02415190078318119,
0.03440246731042862,
-0.027459321543574333,
0.029513979330658913,
-0.01712445355951786,
-0.09238942712545395,
-0.07362563163042068,
0.15068495273590088,
0.0014657838037237525,
-0.030690085142850876,
0.08531380444765091,
0.03417936712503433,
-0.025482818484306335,
0.04529575631022453,
-0.008623994886875153,
0.05835626274347305,
0.005755358375608921,
0.021712277084589005,
-0.052217043936252594,
0.05404907092452049,
-0.11967328935861588,
0.04753519594669342,
-0.08530905842781067,
-0.1030849814414978,
0.007826236076653004,
-0.046322911977767944,
0.00673582823947072,
-0.005613613408058882,
-0.02075611799955368,
-0.056831635534763336,
0.015691103413701057,
0.008384344168007374,
-0.00668685045093298,
-0.009387466125190258,
0.04589613527059555,
0.04410022124648094,
0.01522059366106987,
0.041060347110033035,
0.014076483435928822,
-0.05258094146847725,
0.02399061620235443,
0.007476629689335823,
0.018056586384773254,
-0.03394130989909172,
-0.07898683845996857,
0.03411000967025757,
-0.0048744166269898415,
-0.000670110690407455,
0.058678608387708664,
0.027271563187241554,
0.022470248863101006,
0.021485228091478348,
-0.035501837730407715,
-0.09634911268949509,
-0.027646029368042946,
0.00020611776562873274,
0.03652948886156082,
-0.06039042770862579,
0.05586006119847298,
0.008843271061778069,
-0.042913537472486496,
-0.01597451977431774,
-0.028300253674387932,
-0.03560091182589531,
-0.11951939016580582,
-0.029808660969138145,
0.006433997768908739,
-0.08301433175802231,
-0.05401191860437393,
0.009676128625869751,
-0.031646307557821274,
0.03107348084449768,
0.018789146095514297,
-0.018673691898584366,
0.034289777278900146,
-0.05491051450371742,
-0.027203213423490524,
0.08011002838611603,
-0.02335565909743309,
-0.09327474981546402,
0.05027090013027191,
-0.036279428750276566,
0.008649579249322414,
-0.016203390434384346,
-0.025433624163269997,
0.0553012378513813,
0.04939071089029312,
0.02328553982079029,
-4.759456118108574e-8,
0.010797644034028053,
-0.06998945027589798,
-0.01936877705156803,
0.019812120124697685,
0.13649697601795197,
0.03694126382470131,
-0.08983197808265686,
-0.03810226544737816,
0.014331286773085594,
0.06011092662811279,
0.05102407559752464,
-0.01919175498187542,
0.01358442846685648,
0.034911248832941055,
-0.0387905016541481,
0.03510970249772072,
-0.02238723449409008,
-0.04431768134236336,
-0.025037243962287903,
0.01781289093196392,
-0.02470209077000618,
0.010426902212202549,
-0.0642215833067894,
-0.028694720938801765,
0.007194314152002335,
0.004307084251195192,
-0.06292325258255005,
0.0323125422000885,
-0.10053978860378265,
-0.07844927906990051,
-0.009614565409719944,
-0.03918331116437912,
0.09220605343580246,
0.08491677790880203,
0.00372052239254117,
-0.04966994747519493,
0.022305889055132866,
0.009688790887594223,
-0.03645170480012894,
0.0871504470705986,
0.03196270763874054,
-0.0314139761030674,
0.053707342594861984,
0.02459631860256195,
0.05396633222699165,
0.07145559787750244,
-0.022848324850201607,
0.028790533542633057,
-0.0418388657271862,
-0.03303098678588867,
0.014710077084600925,
0.0492577962577343,
-0.043281201273202896,
-0.036298058927059174,
-0.02790345624089241,
-0.06730974465608597,
-0.05023248866200447,
-0.044760387390851974,
0.014022985473275185,
-0.031830474734306335,
0.11984999477863312,
0.01306222379207611,
-0.013056540861725807,
0.029557323083281517
] |
1402.3066
|
Antonis Achilleos
|
Antonis Achilleos
|
Complexity Jumps In Multiagent Justification Logic Under Interacting
Justifications
| null | null | null | null |
cs.LO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Logic of Proofs, LP, and its successor, Justification Logic, is a
refinement of the modal logic approach to epistemology in which
proofs/justifications are taken into account. In 2000 Kuznets showed that
satisfiability for LP is in the second level of the polynomial hierarchy, a
result which has been successfully repeated for all other one-agent
justification logics whose complexity is known.
We introduce a family of multi-agent justification logics with interactions
between the agents' justifications, by extending and generalizing the two-agent
versions of the Logic of Proofs introduced by Yavorskaya in 2008. Known
concepts and tools from the single-agent justification setting are adjusted for
this multiple agent case. We present tableau rules and some preliminary
complexity results. In several cases the satisfiability problem for these
logics remains in the second level of the polynomial hierarchy, while for
others it is PSPACE or EXP-hard. Furthermore, this problem becomes PSPACE-hard
even for certain two-agent logics, while there are EXP-hard logics of three
agents.
|
[
{
"created": "Thu, 13 Feb 2014 09:00:38 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Apr 2014 04:12:50 GMT",
"version": "v2"
}
] |
2014-04-29
|
[
[
"Achilleos",
"Antonis",
""
]
] |
[
-0.01963513344526291,
-0.008158557116985321,
-0.09451094269752502,
-0.07078201323747635,
0.029440319165587425,
0.009334398433566093,
-0.021312395110726357,
0.013263589702546597,
-0.014709588140249252,
0.07162733376026154,
-0.04653506726026535,
-0.03766148164868355,
0.08713047206401825,
0.06005529314279556,
0.06730284541845322,
0.003409566590562463,
-0.02283182367682457,
0.031032556667923927,
-0.04810236394405365,
-0.007368471473455429,
0.05434366315603256,
-0.09469690918922424,
0.010689405724406242,
-0.07741019874811172,
-0.08738619834184647,
0.02343670278787613,
-0.04903896898031235,
-0.026493728160858154,
0.01778748445212841,
-0.012663436122238636,
-0.05716758966445923,
0.07028897106647491,
-0.02500345930457115,
0.036060724407434464,
0.04564987123012543,
0.07117381691932678,
0.03340185061097145,
0.05658125504851341,
0.022871624678373337,
0.05246971175074577,
-0.017460694536566734,
-0.056306492537260056,
-0.08841145038604736,
-0.059649404138326645,
0.00157368544023484,
0.035313885658979416,
-0.041382331401109695,
0.040682654827833176,
-0.02553202584385872,
-0.049464285373687744,
-0.0120325842872262,
-0.029137112200260162,
-0.017288455739617348,
-0.017361698672175407,
0.05771744251251221,
-0.030290918424725533,
0.020004037767648697,
0.052767153829336166,
-0.0030702429357916117,
-0.12978427112102509,
0.001790819689631462,
-0.0033491107169538736,
-0.059005096554756165,
0.027171429246664047,
0.05834859609603882,
0.04839717596769333,
-0.020938517525792122,
-0.017478611320257187,
-0.04304329305887222,
0.04082638397812843,
0.009420252405107021,
-0.0009975326247513294,
-0.11929085105657578,
0.008690533228218555,
-0.08330847322940826,
-0.03392207249999046,
0.04315577819943428,
0.024503260850906372,
-0.025371601805090904,
0.019747858867049217,
-0.02105371467769146,
0.005221176892518997,
-0.019140683114528656,
0.022976431995630264,
0.0013064248487353325,
-0.06580239534378052,
0.025368263944983482,
-0.013255746103823185,
0.0566466823220253,
0.05966881662607193,
0.04467759653925896,
0.011978701688349247,
0.09166023880243301,
0.1136174276471138,
0.03959136828780174,
0.046285662800073624,
-0.05332285910844803,
-0.0555853396654129,
-0.0009034906979650259,
0.08881131559610367,
-0.055180951952934265,
0.034276824444532394,
-0.03054807335138321,
-0.0523839145898819,
0.07561664283275604,
-0.026126310229301453,
0.02995767444372177,
-0.009148715995252132,
-0.01610180363059044,
-0.09230868518352509,
-0.007184057962149382,
-0.03766968846321106,
0.027416134253144264,
-0.02167174033820629,
-0.016764534637331963,
0.03227457031607628,
0.02436448447406292,
0.10264337807893753,
0.06257522106170654,
-0.14451494812965393,
0.01821151003241539,
0.03295619413256645,
0.03837659955024719,
0.09496760368347168,
0.1298990696668625,
-0.045159775763750076,
-0.03084544651210308,
2.251151027693361e-33,
-0.05115409567952156,
0.08416571468114853,
0.07088394463062286,
-0.013565299101173878,
0.06935665011405945,
0.02813463844358921,
0.01597415842115879,
0.01564868912100792,
-0.009415079839527607,
0.020084073767066002,
0.0366516076028347,
0.1185230016708374,
-0.037374306470155716,
-0.0899411290884018,
0.041402507573366165,
0.09384322166442871,
-0.026454729959368706,
0.029551124200224876,
-0.023247482255101204,
-0.006096080411225557,
0.023720435798168182,
-0.020336555317044258,
-0.006851841229945421,
0.03750213608145714,
-0.03387916088104248,
-0.04191600903868675,
0.0339018851518631,
-0.025058075785636902,
0.07249173521995544,
-0.043035294860601425,
0.013686304911971092,
-0.04261879250407219,
0.04882156476378441,
0.0874004140496254,
-0.08360813558101654,
0.02078179642558098,
-0.025518879294395447,
-0.06580056995153427,
0.0007370181265287101,
-0.025694096460938454,
-0.01045217551290989,
0.027711398899555206,
-0.007655552122741938,
-0.04725785553455353,
0.040315255522727966,
-0.04173481836915016,
-0.10947466641664505,
-0.0004907523980364203,
0.022191448137164116,
-0.057649701833724976,
0.0658339187502861,
0.05960121005773544,
0.05527753755450249,
-0.03241926431655884,
-0.017455799505114555,
-0.027455555275082588,
-0.038392938673496246,
0.07667119801044464,
0.04797886684536934,
0.08215790241956711,
-0.011721739545464516,
-0.0578087754547596,
0.02309136465191841,
0.04936416074633598,
-0.07663270831108093,
0.04560790956020355,
-0.13891473412513733,
0.02349514327943325,
0.047617971897125244,
0.02846984751522541,
-0.07379771769046783,
0.007782814092934132,
0.002377244411036372,
-0.019130004569888115,
0.06952844560146332,
-0.04725782200694084,
-0.03754271939396858,
-0.07855939865112305,
0.018922045826911926,
-0.035463105887174606,
-0.014311143197119236,
0.10725289583206177,
-0.00790373608469963,
0.049010708928108215,
-0.04196074604988098,
-0.07583244144916534,
-0.11759732663631439,
0.02187485061585903,
0.008003349415957928,
-0.025606967508792877,
-0.08553869277238846,
-0.032722003757953644,
-0.006701297592371702,
0.018993228673934937,
0.031035106629133224,
-4.084794747307462e-33,
0.0028038567397743464,
-0.06616613268852234,
-0.06161665916442871,
0.040439359843730927,
0.011607670225203037,
-0.024761686101555824,
-0.02701900713145733,
-0.06561855971813202,
0.04101259633898735,
-0.0355292484164238,
-0.0019654170610010624,
-0.038138873875141144,
0.04192158579826355,
-0.030900608748197556,
-0.060930587351322174,
-0.01385563425719738,
0.0269638542085886,
0.002092870185151696,
-0.028955943882465363,
0.007926376536488533,
0.11903294175863266,
0.07231482863426208,
-0.09849263727664948,
0.0545911006629467,
0.0782158225774765,
0.0389566607773304,
-0.02900177240371704,
0.05619111657142639,
0.019274037331342697,
0.07786073535680771,
-0.005069799721240997,
-0.11281230300664902,
-0.012233600951731205,
-0.04775938391685486,
0.002549355383962393,
-0.022369880229234695,
0.019812393933534622,
0.08346688747406006,
-0.10147883743047714,
0.03214230015873909,
-0.03176083043217659,
-0.07163551449775696,
0.0015522906323894858,
-0.07222892343997955,
-0.0025757276453077793,
-0.016466671600937843,
0.04798900708556175,
-0.0011178642744198442,
0.0018211122369393706,
-0.057859256863594055,
0.009932848624885082,
-0.03546583279967308,
0.005075549706816673,
-0.01941206492483616,
0.026934726163744926,
0.019510522484779358,
-0.04548312723636627,
0.021567419171333313,
-0.02009621262550354,
-0.062574103474617,
-0.010380554012954235,
0.040944043546915054,
-0.013053040020167828,
0.11270347237586975,
0.019156958907842636,
-0.019844654947519302,
0.017096754163503647,
-0.01640520803630352,
0.03653606399893761,
-0.047538574784994125,
0.008718770928680897,
-0.04202752187848091,
-0.11175977438688278,
0.04930500686168671,
0.06797336786985397,
0.11831746995449066,
0.011021641083061695,
-0.03043636493384838,
-0.012867417186498642,
-0.046508777886629105,
-0.012747254222631454,
-0.035304684191942215,
0.05282743647694588,
-0.0003953213745262474,
-0.036805201321840286,
-0.020823782309889793,
0.09737341850996017,
0.01603570021688938,
0.049826424568891525,
0.0879119262099266,
0.02214362844824791,
-0.002060528378933668,
0.021514810621738434,
0.06279799342155457,
-0.07627342641353607,
-4.571726108792973e-8,
-0.02159661054611206,
0.00811429601162672,
-0.008603719063103199,
0.0016001677140593529,
0.0234259981662035,
-0.11677615344524384,
0.02798815444111824,
-0.0644368901848793,
-0.023220648989081383,
-0.10558982193470001,
0.027109969407320023,
0.07797853648662567,
-0.012158820405602455,
0.0022073688451200724,
0.045752812176942825,
0.045285508036613464,
-0.03850799798965454,
-0.07511594146490097,
-0.04576576128602028,
0.022335685789585114,
-0.04264913871884346,
-0.04336922988295555,
-0.042152129113674164,
-0.00000657359396427637,
0.03357463702559471,
-0.0018296506023034453,
-0.030177712440490723,
0.05165073275566101,
0.013232128694653511,
0.07531353831291199,
0.013017110526561737,
-0.059766579419374466,
0.10999039560556412,
-0.005937473848462105,
0.049942586570978165,
0.06297432631254196,
-0.02089233137667179,
0.015363896265625954,
0.0046927668154239655,
-0.0444212332367897,
0.007194234523922205,
-0.01372587215155363,
-0.0013192294863983989,
0.03562187775969505,
0.11878778040409088,
-0.00032707961509004235,
-0.020309563726186752,
-0.05868982896208763,
-0.051712293177843094,
-0.01401310134679079,
-0.06244335696101189,
-0.024865373969078064,
-0.05270107090473175,
-0.001911102095618844,
-0.03910135477781296,
0.11789575219154358,
-0.050605401396751404,
-0.0010927993571385741,
0.0430644266307354,
-0.06674675643444061,
0.03262586146593094,
0.07411792129278183,
0.13113637268543243,
0.015685543417930603
] | null | null | null | null | null | null | null |
[
-0.01963513344526291,
-0.008158557116985321,
-0.09451094269752502,
-0.07078201323747635,
0.029440319165587425,
0.009334398433566093,
-0.021312395110726357,
0.013263589702546597,
-0.014709588140249252,
0.07162733376026154,
-0.04653506726026535,
-0.03766148164868355,
0.08713047206401825,
0.06005529314279556,
0.06730284541845322,
0.003409566590562463,
-0.02283182367682457,
0.031032556667923927,
-0.04810236394405365,
-0.007368471473455429,
0.05434366315603256,
-0.09469690918922424,
0.010689405724406242,
-0.07741019874811172,
-0.08738619834184647,
0.02343670278787613,
-0.04903896898031235,
-0.026493728160858154,
0.01778748445212841,
-0.012663436122238636,
-0.05716758966445923,
0.07028897106647491,
-0.02500345930457115,
0.036060724407434464,
0.04564987123012543,
0.07117381691932678,
0.03340185061097145,
0.05658125504851341,
0.022871624678373337,
0.05246971175074577,
-0.017460694536566734,
-0.056306492537260056,
-0.08841145038604736,
-0.059649404138326645,
0.00157368544023484,
0.035313885658979416,
-0.041382331401109695,
0.040682654827833176,
-0.02553202584385872,
-0.049464285373687744,
-0.0120325842872262,
-0.029137112200260162,
-0.017288455739617348,
-0.017361698672175407,
0.05771744251251221,
-0.030290918424725533,
0.020004037767648697,
0.052767153829336166,
-0.0030702429357916117,
-0.12978427112102509,
0.001790819689631462,
-0.0033491107169538736,
-0.059005096554756165,
0.027171429246664047,
0.05834859609603882,
0.04839717596769333,
-0.020938517525792122,
-0.017478611320257187,
-0.04304329305887222,
0.04082638397812843,
0.009420252405107021,
-0.0009975326247513294,
-0.11929085105657578,
0.008690533228218555,
-0.08330847322940826,
-0.03392207249999046,
0.04315577819943428,
0.024503260850906372,
-0.025371601805090904,
0.019747858867049217,
-0.02105371467769146,
0.005221176892518997,
-0.019140683114528656,
0.022976431995630264,
0.0013064248487353325,
-0.06580239534378052,
0.025368263944983482,
-0.013255746103823185,
0.0566466823220253,
0.05966881662607193,
0.04467759653925896,
0.011978701688349247,
0.09166023880243301,
0.1136174276471138,
0.03959136828780174,
0.046285662800073624,
-0.05332285910844803,
-0.0555853396654129,
-0.0009034906979650259,
0.08881131559610367,
-0.055180951952934265,
0.034276824444532394,
-0.03054807335138321,
-0.0523839145898819,
0.07561664283275604,
-0.026126310229301453,
0.02995767444372177,
-0.009148715995252132,
-0.01610180363059044,
-0.09230868518352509,
-0.007184057962149382,
-0.03766968846321106,
0.027416134253144264,
-0.02167174033820629,
-0.016764534637331963,
0.03227457031607628,
0.02436448447406292,
0.10264337807893753,
0.06257522106170654,
-0.14451494812965393,
0.01821151003241539,
0.03295619413256645,
0.03837659955024719,
0.09496760368347168,
0.1298990696668625,
-0.045159775763750076,
-0.03084544651210308,
2.251151027693361e-33,
-0.05115409567952156,
0.08416571468114853,
0.07088394463062286,
-0.013565299101173878,
0.06935665011405945,
0.02813463844358921,
0.01597415842115879,
0.01564868912100792,
-0.009415079839527607,
0.020084073767066002,
0.0366516076028347,
0.1185230016708374,
-0.037374306470155716,
-0.0899411290884018,
0.041402507573366165,
0.09384322166442871,
-0.026454729959368706,
0.029551124200224876,
-0.023247482255101204,
-0.006096080411225557,
0.023720435798168182,
-0.020336555317044258,
-0.006851841229945421,
0.03750213608145714,
-0.03387916088104248,
-0.04191600903868675,
0.0339018851518631,
-0.025058075785636902,
0.07249173521995544,
-0.043035294860601425,
0.013686304911971092,
-0.04261879250407219,
0.04882156476378441,
0.0874004140496254,
-0.08360813558101654,
0.02078179642558098,
-0.025518879294395447,
-0.06580056995153427,
0.0007370181265287101,
-0.025694096460938454,
-0.01045217551290989,
0.027711398899555206,
-0.007655552122741938,
-0.04725785553455353,
0.040315255522727966,
-0.04173481836915016,
-0.10947466641664505,
-0.0004907523980364203,
0.022191448137164116,
-0.057649701833724976,
0.0658339187502861,
0.05960121005773544,
0.05527753755450249,
-0.03241926431655884,
-0.017455799505114555,
-0.027455555275082588,
-0.038392938673496246,
0.07667119801044464,
0.04797886684536934,
0.08215790241956711,
-0.011721739545464516,
-0.0578087754547596,
0.02309136465191841,
0.04936416074633598,
-0.07663270831108093,
0.04560790956020355,
-0.13891473412513733,
0.02349514327943325,
0.047617971897125244,
0.02846984751522541,
-0.07379771769046783,
0.007782814092934132,
0.002377244411036372,
-0.019130004569888115,
0.06952844560146332,
-0.04725782200694084,
-0.03754271939396858,
-0.07855939865112305,
0.018922045826911926,
-0.035463105887174606,
-0.014311143197119236,
0.10725289583206177,
-0.00790373608469963,
0.049010708928108215,
-0.04196074604988098,
-0.07583244144916534,
-0.11759732663631439,
0.02187485061585903,
0.008003349415957928,
-0.025606967508792877,
-0.08553869277238846,
-0.032722003757953644,
-0.006701297592371702,
0.018993228673934937,
0.031035106629133224,
-4.084794747307462e-33,
0.0028038567397743464,
-0.06616613268852234,
-0.06161665916442871,
0.040439359843730927,
0.011607670225203037,
-0.024761686101555824,
-0.02701900713145733,
-0.06561855971813202,
0.04101259633898735,
-0.0355292484164238,
-0.0019654170610010624,
-0.038138873875141144,
0.04192158579826355,
-0.030900608748197556,
-0.060930587351322174,
-0.01385563425719738,
0.0269638542085886,
0.002092870185151696,
-0.028955943882465363,
0.007926376536488533,
0.11903294175863266,
0.07231482863426208,
-0.09849263727664948,
0.0545911006629467,
0.0782158225774765,
0.0389566607773304,
-0.02900177240371704,
0.05619111657142639,
0.019274037331342697,
0.07786073535680771,
-0.005069799721240997,
-0.11281230300664902,
-0.012233600951731205,
-0.04775938391685486,
0.002549355383962393,
-0.022369880229234695,
0.019812393933534622,
0.08346688747406006,
-0.10147883743047714,
0.03214230015873909,
-0.03176083043217659,
-0.07163551449775696,
0.0015522906323894858,
-0.07222892343997955,
-0.0025757276453077793,
-0.016466671600937843,
0.04798900708556175,
-0.0011178642744198442,
0.0018211122369393706,
-0.057859256863594055,
0.009932848624885082,
-0.03546583279967308,
0.005075549706816673,
-0.01941206492483616,
0.026934726163744926,
0.019510522484779358,
-0.04548312723636627,
0.021567419171333313,
-0.02009621262550354,
-0.062574103474617,
-0.010380554012954235,
0.040944043546915054,
-0.013053040020167828,
0.11270347237586975,
0.019156958907842636,
-0.019844654947519302,
0.017096754163503647,
-0.01640520803630352,
0.03653606399893761,
-0.047538574784994125,
0.008718770928680897,
-0.04202752187848091,
-0.11175977438688278,
0.04930500686168671,
0.06797336786985397,
0.11831746995449066,
0.011021641083061695,
-0.03043636493384838,
-0.012867417186498642,
-0.046508777886629105,
-0.012747254222631454,
-0.035304684191942215,
0.05282743647694588,
-0.0003953213745262474,
-0.036805201321840286,
-0.020823782309889793,
0.09737341850996017,
0.01603570021688938,
0.049826424568891525,
0.0879119262099266,
0.02214362844824791,
-0.002060528378933668,
0.021514810621738434,
0.06279799342155457,
-0.07627342641353607,
-4.571726108792973e-8,
-0.02159661054611206,
0.00811429601162672,
-0.008603719063103199,
0.0016001677140593529,
0.0234259981662035,
-0.11677615344524384,
0.02798815444111824,
-0.0644368901848793,
-0.023220648989081383,
-0.10558982193470001,
0.027109969407320023,
0.07797853648662567,
-0.012158820405602455,
0.0022073688451200724,
0.045752812176942825,
0.045285508036613464,
-0.03850799798965454,
-0.07511594146490097,
-0.04576576128602028,
0.022335685789585114,
-0.04264913871884346,
-0.04336922988295555,
-0.042152129113674164,
-0.00000657359396427637,
0.03357463702559471,
-0.0018296506023034453,
-0.030177712440490723,
0.05165073275566101,
0.013232128694653511,
0.07531353831291199,
0.013017110526561737,
-0.059766579419374466,
0.10999039560556412,
-0.005937473848462105,
0.049942586570978165,
0.06297432631254196,
-0.02089233137667179,
0.015363896265625954,
0.0046927668154239655,
-0.0444212332367897,
0.007194234523922205,
-0.01372587215155363,
-0.0013192294863983989,
0.03562187775969505,
0.11878778040409088,
-0.00032707961509004235,
-0.020309563726186752,
-0.05868982896208763,
-0.051712293177843094,
-0.01401310134679079,
-0.06244335696101189,
-0.024865373969078064,
-0.05270107090473175,
-0.001911102095618844,
-0.03910135477781296,
0.11789575219154358,
-0.050605401396751404,
-0.0010927993571385741,
0.0430644266307354,
-0.06674675643444061,
0.03262586146593094,
0.07411792129278183,
0.13113637268543243,
0.015685543417930603
] |
1402.3067
|
Tobias Fritz
|
John C. Baez and Tobias Fritz
|
A Bayesian Characterization of Relative Entropy
|
32 pages, minor revision
|
Theory and Applications of Categories, Vol. 29 No. 16 (2014),
421-456
| null | null |
cs.IT math-ph math.IT math.MP math.PR quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a new characterization of relative entropy, also known as the
Kullback-Leibler divergence. We use a number of interesting categories related
to probability theory. In particular, we consider a category FinStat where an
object is a finite set equipped with a probability distribution, while a
morphism is a measure-preserving function $f: X \to Y$ together with a
stochastic right inverse $s: Y \to X$. The function $f$ can be thought of as a
measurement process, while s provides a hypothesis about the state of the
measured system given the result of a measurement. Given this data we can
define the entropy of the probability distribution on $X$ relative to the
"prior" given by pushing the probability distribution on $Y$ forwards along
$s$. We say that $s$ is "optimal" if these distributions agree. We show that
any convex linear, lower semicontinuous functor from FinStat to the additive
monoid $[0,\infty]$ which vanishes when $s$ is optimal must be a scalar
multiple of this relative entropy. Our proof is independent of all earlier
characterizations, but inspired by the work of Petz.
|
[
{
"created": "Thu, 13 Feb 2014 09:02:27 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jul 2014 12:24:57 GMT",
"version": "v2"
}
] |
2017-08-22
|
[
[
"Baez",
"John C.",
""
],
[
"Fritz",
"Tobias",
""
]
] |
[
-0.04746342822909355,
-0.04669973626732826,
0.028772249817848206,
-0.05528324469923973,
0.028606995940208435,
0.07946844398975372,
0.08869151771068573,
-0.033786822110414505,
0.11407391726970673,
0.020495057106018066,
-0.009038140065968037,
0.0006633367738686502,
0.02559291385114193,
0.061308354139328,
-0.029540225863456726,
-0.04089158773422241,
0.09034586697816849,
0.08435261249542236,
-0.06093835458159447,
0.06918729096651077,
0.0062229265458881855,
0.02786491997539997,
0.059391576796770096,
0.055450983345508575,
-0.07434737682342529,
-0.061969805508852005,
-0.03527112305164337,
-0.006071926560252905,
-0.014578194357454777,
-0.012430471368134022,
-0.05580113083124161,
0.03430428355932236,
-0.0484025664627552,
0.022005723789334297,
0.04386086016893387,
0.03246241807937622,
-0.008088741451501846,
0.012284156866371632,
-0.004763461649417877,
0.09803567081689835,
-0.044585224241018295,
0.06314953416585922,
-0.02479344606399536,
0.04546708986163139,
-0.04833795502781868,
0.027667852118611336,
-0.02658672444522381,
-0.11008328199386597,
-0.0017884575063362718,
0.013813300058245659,
0.01874605007469654,
0.07587554305791855,
-0.010348367504775524,
-0.03911115974187851,
0.059712477028369904,
0.07207061350345612,
0.006290959194302559,
-0.07205306738615036,
-0.048821087926626205,
-0.07175561040639877,
0.018144572153687477,
0.010277996771037579,
-0.05379412695765495,
0.005174635909497738,
-0.016436530277132988,
-0.02917693741619587,
0.019278107210993767,
0.052759166806936264,
0.009432589635252953,
0.05591743811964989,
-0.07897354662418365,
0.030578887090086937,
-0.09618063271045685,
0.0653025284409523,
0.043447647243738174,
-0.06078220531344414,
0.06832702457904816,
0.01923508569598198,
-0.052583128213882446,
-0.04915476217865944,
0.02953510358929634,
0.03928329795598984,
0.03916392847895622,
0.02090742066502571,
0.04441878944635391,
-0.03858407214283943,
-0.04495484381914139,
-0.008006746880710125,
0.0783982053399086,
-0.01594182476401329,
-0.0882393941283226,
-0.05242720618844032,
-0.047147925943136215,
0.018273379653692245,
0.07005078345537186,
-0.08150942623615265,
0.015817156061530113,
-0.02283715270459652,
0.132150337100029,
0.050859011709690094,
-0.02400335855782032,
0.006643325090408325,
0.03573637083172798,
-0.024364802986383438,
0.10666688531637192,
-0.07852306962013245,
-0.019147004932165146,
0.037130068987607956,
0.06142027676105499,
-0.005186161492019892,
0.018696121871471405,
-0.033570803701877594,
0.028741292655467987,
0.0167685579508543,
-0.027694830670952797,
-0.048468638211488724,
-0.010671119205653667,
0.03819218650460243,
-0.0076836105436086655,
-0.05580556392669678,
0.004834434017539024,
-0.004505451302975416,
-0.006938924081623554,
0.02547169104218483,
0.033446140587329865,
0.01868007704615593,
-0.00580515107139945,
8.25863851814849e-34,
0.0413772352039814,
-0.08455950021743774,
0.018542347475886345,
-0.06312830001115799,
0.06154065206646919,
0.06805127114057541,
-0.0051803323440253735,
-0.027376392856240273,
-0.05228637531399727,
0.027094535529613495,
-0.05388544872403145,
0.16234910488128662,
-0.08968521654605865,
0.003344065509736538,
0.047380249947309494,
-0.028533434495329857,
-0.10684676468372345,
0.06091155856847763,
0.019349489361047745,
-0.10674670338630676,
-0.0074913459829986095,
0.009600106626749039,
-0.007950134575366974,
-0.11425867676734924,
0.037648726254701614,
-0.09299085289239883,
-0.02224181964993477,
-0.008885480463504791,
-0.03218770772218704,
0.03773730993270874,
-0.1189194768667221,
0.022475114092230797,
0.02767059952020645,
-0.047338951379060745,
-0.030494553968310356,
-0.009064811281859875,
-0.018296418711543083,
-0.035561032593250275,
-0.06948148459196091,
-0.05247105285525322,
0.03907445818185806,
0.04275704547762871,
-0.07311356067657471,
-0.07163351774215698,
-0.0511837936937809,
-0.10489433258771896,
0.0016390972305089235,
0.0835503488779068,
0.01199574675410986,
-0.12349947541952133,
0.09120506793260574,
-0.04646691679954529,
0.0013188564917072654,
-0.060290638357400894,
-0.050929293036460876,
-0.017849190160632133,
-0.005903065670281649,
0.003080603666603565,
-0.028184058144688606,
0.054732415825128555,
-0.09857472777366638,
0.051284853368997574,
0.027347451075911522,
-0.05240125209093094,
0.039645418524742126,
0.008584967814385891,
0.010161575861275196,
-0.033602241426706314,
0.07930896431207657,
-0.06920868903398514,
-0.0030505952890962362,
0.015851503238081932,
-0.042720191180706024,
-0.05341320112347603,
0.05531836673617363,
0.03226057067513466,
0.00703333830460906,
-0.019575882703065872,
-0.08574849367141724,
0.057868484407663345,
-0.035110678523778915,
-0.013884958811104298,
0.0047641112469136715,
0.030262837186455727,
0.01554200705140829,
0.034034986048936844,
0.0351167656481266,
-0.03620511665940285,
-0.10227702558040619,
0.05035741627216339,
-0.06497444957494736,
-0.028079817071557045,
0.04885634034872055,
-0.011971582658588886,
-0.02120782993733883,
-2.544804944892123e-33,
-0.11836794763803482,
-0.08842065930366516,
-0.07307206094264984,
0.04049981012940407,
-0.04064936563372612,
-0.0019834665581583977,
0.01264268346130848,
0.01564640924334526,
-0.10081671923398972,
-0.10390657186508179,
-0.04200379550457001,
0.019590063020586967,
0.035997018218040466,
0.006567843724042177,
-0.04641425237059593,
0.033474940806627274,
-0.013961522839963436,
0.07938817143440247,
-0.0272428710013628,
-0.026613255962729454,
0.09936035424470901,
0.09461669623851776,
-0.057567644864320755,
0.02645014598965645,
0.028624361380934715,
0.048986855894327164,
-0.03162657842040062,
0.13730739057064056,
-0.109615758061409,
-0.036137159913778305,
-0.00221213698387146,
-0.08397993445396423,
-0.011153495870530605,
-0.01753830723464489,
-0.04855116829276085,
-0.016359925270080566,
0.014944118447601795,
0.0422731451690197,
-0.09355289489030838,
0.07525648921728134,
-0.056647635996341705,
0.04226518049836159,
-0.00959153100848198,
-0.04130444675683975,
0.06719991564750671,
-0.0416736826300621,
0.0369127131998539,
-0.044466063380241394,
0.06623297929763794,
-0.0027298396453261375,
-0.03839403763413429,
-0.0011817028280347586,
-0.009397781454026699,
0.1244356781244278,
-0.08124937862157822,
0.05166418477892876,
-0.0873163565993309,
-0.03720419108867645,
0.02327604778110981,
0.0556633397936821,
0.0018762341933324933,
-0.01900145411491394,
0.003251527203246951,
0.11011511832475662,
0.06492239981889725,
-0.018048664554953575,
0.0034664738923311234,
-0.06660374999046326,
0.0392308384180069,
-0.05358346551656723,
0.014082872308790684,
0.06935572624206543,
-0.03315155580639839,
0.05805708095431328,
0.07226646691560745,
0.05060309171676636,
0.054780513048172,
0.06624799221754074,
-0.005841951351612806,
0.07079239189624786,
-0.008454049937427044,
0.016908859834074974,
0.032461270689964294,
0.027544479817152023,
0.025004861876368523,
-0.08842219412326813,
-0.015936240553855896,
-0.05519409477710724,
0.030402889475226402,
-0.05352703109383583,
0.035598885267972946,
-0.055036403238773346,
0.004649020731449127,
0.03810247778892517,
-0.03918294608592987,
-5.15453955074463e-8,
0.0419255793094635,
-0.005346792284399271,
0.027437757700681686,
0.00599376717582345,
0.026345454156398773,
0.03581569343805313,
-0.022763743996620178,
0.005161575507372618,
-0.07374025881290436,
-0.07631462812423706,
0.07936552911996841,
0.10421370714902878,
-0.007625014986842871,
0.027713682502508163,
-0.010307054035365582,
-0.010354016907513142,
0.0002635740675032139,
0.03918583691120148,
0.011243599466979504,
-0.004706445150077343,
0.0520925372838974,
0.02294781804084778,
0.015160348266363144,
0.04190126806497574,
-0.025588033720850945,
0.00749831460416317,
0.02254536934196949,
0.0213803518563509,
0.056356921792030334,
0.018362723290920258,
-0.031357161700725555,
0.005867826286703348,
0.0429643839597702,
0.03765082359313965,
0.005505889188498259,
0.032839033752679825,
-0.09463133662939072,
-0.013470557518303394,
-0.04452814906835556,
-0.022208834066987038,
0.06872057914733887,
-0.014228117652237415,
-0.014060157351195812,
0.04552077874541283,
0.03052615001797676,
-0.008950699120759964,
0.03817380592226982,
0.010823379270732403,
0.020241914317011833,
0.03725355491042137,
0.04257509112358093,
0.04053589329123497,
0.023846548050642014,
0.05743689462542534,
0.006321036256849766,
0.01087347324937582,
-0.02620447427034378,
-0.05749143660068512,
-0.061330389231443405,
0.03588523715734482,
0.0445849671959877,
0.09726756811141968,
-0.0082810427993536,
0.014882783405482769
] | null | null | null | null | null | null | null |
[
-0.04746342822909355,
-0.04669973626732826,
0.028772249817848206,
-0.05528324469923973,
0.028606995940208435,
0.07946844398975372,
0.08869151771068573,
-0.033786822110414505,
0.11407391726970673,
0.020495057106018066,
-0.009038140065968037,
0.0006633367738686502,
0.02559291385114193,
0.061308354139328,
-0.029540225863456726,
-0.04089158773422241,
0.09034586697816849,
0.08435261249542236,
-0.06093835458159447,
0.06918729096651077,
0.0062229265458881855,
0.02786491997539997,
0.059391576796770096,
0.055450983345508575,
-0.07434737682342529,
-0.061969805508852005,
-0.03527112305164337,
-0.006071926560252905,
-0.014578194357454777,
-0.012430471368134022,
-0.05580113083124161,
0.03430428355932236,
-0.0484025664627552,
0.022005723789334297,
0.04386086016893387,
0.03246241807937622,
-0.008088741451501846,
0.012284156866371632,
-0.004763461649417877,
0.09803567081689835,
-0.044585224241018295,
0.06314953416585922,
-0.02479344606399536,
0.04546708986163139,
-0.04833795502781868,
0.027667852118611336,
-0.02658672444522381,
-0.11008328199386597,
-0.0017884575063362718,
0.013813300058245659,
0.01874605007469654,
0.07587554305791855,
-0.010348367504775524,
-0.03911115974187851,
0.059712477028369904,
0.07207061350345612,
0.006290959194302559,
-0.07205306738615036,
-0.048821087926626205,
-0.07175561040639877,
0.018144572153687477,
0.010277996771037579,
-0.05379412695765495,
0.005174635909497738,
-0.016436530277132988,
-0.02917693741619587,
0.019278107210993767,
0.052759166806936264,
0.009432589635252953,
0.05591743811964989,
-0.07897354662418365,
0.030578887090086937,
-0.09618063271045685,
0.0653025284409523,
0.043447647243738174,
-0.06078220531344414,
0.06832702457904816,
0.01923508569598198,
-0.052583128213882446,
-0.04915476217865944,
0.02953510358929634,
0.03928329795598984,
0.03916392847895622,
0.02090742066502571,
0.04441878944635391,
-0.03858407214283943,
-0.04495484381914139,
-0.008006746880710125,
0.0783982053399086,
-0.01594182476401329,
-0.0882393941283226,
-0.05242720618844032,
-0.047147925943136215,
0.018273379653692245,
0.07005078345537186,
-0.08150942623615265,
0.015817156061530113,
-0.02283715270459652,
0.132150337100029,
0.050859011709690094,
-0.02400335855782032,
0.006643325090408325,
0.03573637083172798,
-0.024364802986383438,
0.10666688531637192,
-0.07852306962013245,
-0.019147004932165146,
0.037130068987607956,
0.06142027676105499,
-0.005186161492019892,
0.018696121871471405,
-0.033570803701877594,
0.028741292655467987,
0.0167685579508543,
-0.027694830670952797,
-0.048468638211488724,
-0.010671119205653667,
0.03819218650460243,
-0.0076836105436086655,
-0.05580556392669678,
0.004834434017539024,
-0.004505451302975416,
-0.006938924081623554,
0.02547169104218483,
0.033446140587329865,
0.01868007704615593,
-0.00580515107139945,
8.25863851814849e-34,
0.0413772352039814,
-0.08455950021743774,
0.018542347475886345,
-0.06312830001115799,
0.06154065206646919,
0.06805127114057541,
-0.0051803323440253735,
-0.027376392856240273,
-0.05228637531399727,
0.027094535529613495,
-0.05388544872403145,
0.16234910488128662,
-0.08968521654605865,
0.003344065509736538,
0.047380249947309494,
-0.028533434495329857,
-0.10684676468372345,
0.06091155856847763,
0.019349489361047745,
-0.10674670338630676,
-0.0074913459829986095,
0.009600106626749039,
-0.007950134575366974,
-0.11425867676734924,
0.037648726254701614,
-0.09299085289239883,
-0.02224181964993477,
-0.008885480463504791,
-0.03218770772218704,
0.03773730993270874,
-0.1189194768667221,
0.022475114092230797,
0.02767059952020645,
-0.047338951379060745,
-0.030494553968310356,
-0.009064811281859875,
-0.018296418711543083,
-0.035561032593250275,
-0.06948148459196091,
-0.05247105285525322,
0.03907445818185806,
0.04275704547762871,
-0.07311356067657471,
-0.07163351774215698,
-0.0511837936937809,
-0.10489433258771896,
0.0016390972305089235,
0.0835503488779068,
0.01199574675410986,
-0.12349947541952133,
0.09120506793260574,
-0.04646691679954529,
0.0013188564917072654,
-0.060290638357400894,
-0.050929293036460876,
-0.017849190160632133,
-0.005903065670281649,
0.003080603666603565,
-0.028184058144688606,
0.054732415825128555,
-0.09857472777366638,
0.051284853368997574,
0.027347451075911522,
-0.05240125209093094,
0.039645418524742126,
0.008584967814385891,
0.010161575861275196,
-0.033602241426706314,
0.07930896431207657,
-0.06920868903398514,
-0.0030505952890962362,
0.015851503238081932,
-0.042720191180706024,
-0.05341320112347603,
0.05531836673617363,
0.03226057067513466,
0.00703333830460906,
-0.019575882703065872,
-0.08574849367141724,
0.057868484407663345,
-0.035110678523778915,
-0.013884958811104298,
0.0047641112469136715,
0.030262837186455727,
0.01554200705140829,
0.034034986048936844,
0.0351167656481266,
-0.03620511665940285,
-0.10227702558040619,
0.05035741627216339,
-0.06497444957494736,
-0.028079817071557045,
0.04885634034872055,
-0.011971582658588886,
-0.02120782993733883,
-2.544804944892123e-33,
-0.11836794763803482,
-0.08842065930366516,
-0.07307206094264984,
0.04049981012940407,
-0.04064936563372612,
-0.0019834665581583977,
0.01264268346130848,
0.01564640924334526,
-0.10081671923398972,
-0.10390657186508179,
-0.04200379550457001,
0.019590063020586967,
0.035997018218040466,
0.006567843724042177,
-0.04641425237059593,
0.033474940806627274,
-0.013961522839963436,
0.07938817143440247,
-0.0272428710013628,
-0.026613255962729454,
0.09936035424470901,
0.09461669623851776,
-0.057567644864320755,
0.02645014598965645,
0.028624361380934715,
0.048986855894327164,
-0.03162657842040062,
0.13730739057064056,
-0.109615758061409,
-0.036137159913778305,
-0.00221213698387146,
-0.08397993445396423,
-0.011153495870530605,
-0.01753830723464489,
-0.04855116829276085,
-0.016359925270080566,
0.014944118447601795,
0.0422731451690197,
-0.09355289489030838,
0.07525648921728134,
-0.056647635996341705,
0.04226518049836159,
-0.00959153100848198,
-0.04130444675683975,
0.06719991564750671,
-0.0416736826300621,
0.0369127131998539,
-0.044466063380241394,
0.06623297929763794,
-0.0027298396453261375,
-0.03839403763413429,
-0.0011817028280347586,
-0.009397781454026699,
0.1244356781244278,
-0.08124937862157822,
0.05166418477892876,
-0.0873163565993309,
-0.03720419108867645,
0.02327604778110981,
0.0556633397936821,
0.0018762341933324933,
-0.01900145411491394,
0.003251527203246951,
0.11011511832475662,
0.06492239981889725,
-0.018048664554953575,
0.0034664738923311234,
-0.06660374999046326,
0.0392308384180069,
-0.05358346551656723,
0.014082872308790684,
0.06935572624206543,
-0.03315155580639839,
0.05805708095431328,
0.07226646691560745,
0.05060309171676636,
0.054780513048172,
0.06624799221754074,
-0.005841951351612806,
0.07079239189624786,
-0.008454049937427044,
0.016908859834074974,
0.032461270689964294,
0.027544479817152023,
0.025004861876368523,
-0.08842219412326813,
-0.015936240553855896,
-0.05519409477710724,
0.030402889475226402,
-0.05352703109383583,
0.035598885267972946,
-0.055036403238773346,
0.004649020731449127,
0.03810247778892517,
-0.03918294608592987,
-5.15453955074463e-8,
0.0419255793094635,
-0.005346792284399271,
0.027437757700681686,
0.00599376717582345,
0.026345454156398773,
0.03581569343805313,
-0.022763743996620178,
0.005161575507372618,
-0.07374025881290436,
-0.07631462812423706,
0.07936552911996841,
0.10421370714902878,
-0.007625014986842871,
0.027713682502508163,
-0.010307054035365582,
-0.010354016907513142,
0.0002635740675032139,
0.03918583691120148,
0.011243599466979504,
-0.004706445150077343,
0.0520925372838974,
0.02294781804084778,
0.015160348266363144,
0.04190126806497574,
-0.025588033720850945,
0.00749831460416317,
0.02254536934196949,
0.0213803518563509,
0.056356921792030334,
0.018362723290920258,
-0.031357161700725555,
0.005867826286703348,
0.0429643839597702,
0.03765082359313965,
0.005505889188498259,
0.032839033752679825,
-0.09463133662939072,
-0.013470557518303394,
-0.04452814906835556,
-0.022208834066987038,
0.06872057914733887,
-0.014228117652237415,
-0.014060157351195812,
0.04552077874541283,
0.03052615001797676,
-0.008950699120759964,
0.03817380592226982,
0.010823379270732403,
0.020241914317011833,
0.03725355491042137,
0.04257509112358093,
0.04053589329123497,
0.023846548050642014,
0.05743689462542534,
0.006321036256849766,
0.01087347324937582,
-0.02620447427034378,
-0.05749143660068512,
-0.061330389231443405,
0.03588523715734482,
0.0445849671959877,
0.09726756811141968,
-0.0082810427993536,
0.014882783405482769
] |
1402.3070
|
Parth Gupta
|
Parth Gupta, Rafael E. Banchs and Paolo Rosso
|
Squeezing bottlenecks: exploring the limits of autoencoder semantic
representation capabilities
| null | null | null | null |
cs.IR cs.LG stat.ML
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a comprehensive study on the use of autoencoders for modelling
text data, in which (differently from previous studies) we focus our attention
on the following issues: i) we explore the suitability of two different models
bDA and rsDA for constructing deep autoencoders for text data at the sentence
level; ii) we propose and evaluate two novel metrics for better assessing the
text-reconstruction capabilities of autoencoders; and iii) we propose an
automatic method to find the critical bottleneck dimensionality for text
language representations (below which structural information is lost).
|
[
{
"created": "Thu, 13 Feb 2014 09:54:01 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Gupta",
"Parth",
""
],
[
"Banchs",
"Rafael E.",
""
],
[
"Rosso",
"Paolo",
""
]
] |
[
-0.055894821882247925,
-0.11070553213357925,
-0.03022707626223564,
0.04745758697390556,
0.021053213626146317,
0.08792106062173843,
-0.020056184381246567,
-0.0005447477451525629,
0.006462245248258114,
-0.0846685841679573,
0.0004916377947665751,
0.001986138988286257,
-0.022761521860957146,
0.09390480816364288,
-0.0319531187415123,
0.004205439239740372,
0.02392854169011116,
-0.011509575881063938,
-0.12636761367321014,
-0.1273541897535324,
0.03269484266638756,
0.12411890178918839,
0.06225715950131416,
0.008529117330908775,
0.04970451071858406,
0.00048314392915926874,
0.012787504121661186,
-0.03467655926942825,
-0.0048536211252212524,
0.046182021498680115,
0.03920423611998558,
0.01701478660106659,
0.018421243876218796,
0.019011765718460083,
0.00554089667275548,
0.01385326124727726,
-0.07426952570676804,
0.09625944495201111,
-0.02044532261788845,
-0.05134857818484306,
0.013189361430704594,
-0.030695835128426552,
-0.011712395586073399,
0.08053630590438843,
0.07418361306190491,
-0.05784492939710617,
-0.041019972413778305,
-0.047976646572351456,
0.03231874108314514,
0.02677858993411064,
-0.07113455981016159,
0.033077310770750046,
0.007580877747386694,
0.04205118492245674,
-0.025375548750162125,
-0.024418747052550316,
-0.024894820526242256,
-0.002276510000228882,
-0.003950000740587711,
0.004503726959228516,
0.026220085099339485,
-0.04407784342765808,
-0.027611954137682915,
-0.004827875643968582,
0.016855189576745033,
0.006885437294840813,
-0.014058294706046581,
0.05668346956372261,
-0.06983643025159836,
0.11968336999416351,
0.0037204050458967686,
0.025721624493598938,
-0.07488314062356949,
0.035787925124168396,
0.05541924014687538,
0.014036680571734905,
-0.031610481441020966,
-0.052666716277599335,
0.019215857610106468,
-0.052888207137584686,
0.008379868231713772,
0.014736279845237732,
0.0729471743106842,
0.08525052666664124,
0.04496921971440315,
-0.006139274686574936,
0.09389488399028778,
0.039682600647211075,
-0.04439815506339073,
0.005920883733779192,
-0.03930921480059624,
-0.07721959799528122,
0.03290332108736038,
0.004358185920864344,
-0.024702057242393494,
0.02011965773999691,
0.06261013448238373,
-0.05438403785228729,
0.0044921087101101875,
0.035997409373521805,
0.0010927255498245358,
0.08322936296463013,
0.011518488638103008,
-0.005335091147571802,
-0.02674257941544056,
-0.03365347534418106,
0.09622418135404587,
0.06812819838523865,
0.019978675991296768,
-0.07903815060853958,
0.06316928565502167,
0.038143277168273926,
-0.008052335120737553,
0.009521112777292728,
0.07196799665689468,
-0.07359366118907928,
0.0002801357477437705,
-0.04910887032747269,
0.03830244764685631,
0.06651070713996887,
-0.06003713980317116,
0.02167779579758644,
-0.005197466351091862,
0.00793423317372799,
-0.021765906363725662,
-0.044001929461956024,
-0.007330731023102999,
1.5043738847888586e-33,
0.005995621904730797,
0.06229986995458603,
-0.03690316528081894,
0.058105114847421646,
0.0023482211399823427,
-0.013463926501572132,
-0.045640185475349426,
0.0069017354398965836,
-0.0037489759270101786,
-0.0051475707441568375,
-0.09520050883293152,
-0.0011495233047753572,
-0.041814450174570084,
0.1154676079750061,
0.0031478088349103928,
0.0023214854300022125,
-0.05361715331673622,
0.06273769587278366,
0.025768063962459564,
-0.02656121924519539,
0.026328735053539276,
0.04478510841727257,
-0.009407872334122658,
0.013885105028748512,
0.011495956219732761,
-0.021049099043011665,
0.10490141063928604,
-0.015836482867598534,
-0.1000647023320198,
-0.007881445810198784,
-0.1114320233464241,
-0.06126942113041878,
0.07739076018333435,
0.04484420642256737,
-0.01762024499475956,
-0.012535035610198975,
0.007550475653260946,
0.030758066102862358,
-0.011784721165895462,
-0.04811204597353935,
0.042577970772981644,
0.0559798926115036,
0.007166828960180283,
-0.008518223650753498,
-0.058599088340997696,
-0.01076519675552845,
0.035957347601652145,
-0.05763201788067818,
-0.040314555168151855,
-0.02783270739018917,
0.057519715279340744,
0.06568866968154907,
-0.0405757762491703,
0.006968667730689049,
0.0488448366522789,
-0.010675114579498768,
0.05289022997021675,
0.03684617578983307,
0.07862219214439392,
0.05664321035146713,
0.02543843910098076,
0.006759262643754482,
0.061609044671058655,
0.006900233682245016,
0.06995786726474762,
0.021555686369538307,
-0.0014863878022879362,
-0.021615872159600258,
0.017217591404914856,
-0.012874717824161053,
-0.06029769033193588,
0.04151254892349243,
-0.007133405655622482,
-0.05472204461693764,
0.03910359367728233,
0.05415461212396622,
0.021275363862514496,
-0.11305713653564453,
-0.014317266643047333,
0.0696195662021637,
-0.018200013786554337,
-0.06759098172187805,
0.10822582989931107,
-0.07507840543985367,
-0.08026402443647385,
-0.09890186786651611,
0.0575094148516655,
-0.1375454068183899,
0.05178001895546913,
0.005792990792542696,
-0.024230308830738068,
-0.011555120348930359,
-0.0020663451869040728,
-0.04158562421798706,
0.05830703303217888,
-9.137236975086646e-34,
-0.013914122246205807,
-0.012416752986609936,
-0.03561777621507645,
0.04744971543550491,
-0.03571457788348198,
-0.08754686266183853,
-0.023811310529708862,
0.11108451336622238,
-0.02355019561946392,
-0.07584390789270401,
-0.014451313763856888,
-0.06252266466617584,
0.07929939031600952,
0.007327623665332794,
0.04420788958668709,
0.03897785022854805,
0.08188895881175995,
0.005497380159795284,
0.01907377876341343,
0.053011853247880936,
0.019584309309720993,
0.04037284106016159,
-0.040011774748563766,
0.0681075006723404,
0.007650250103324652,
0.014009300619363785,
-0.0024328194558620453,
-0.0007171405013650656,
-0.015158863738179207,
-0.059131305664777756,
0.006104213185608387,
-0.021700052544474602,
-0.06831970810890198,
-0.015311467461287975,
-0.10830449312925339,
0.0679507851600647,
0.018561722710728645,
-0.06650056689977646,
-0.022145962342619896,
0.06253889203071594,
0.11278551816940308,
0.012421013787388802,
-0.06477291882038116,
0.011406498029828072,
-0.038613494485616684,
-0.026346897706389427,
-0.06502927839756012,
-0.017349444329738617,
0.08452378958463669,
-0.02569465897977352,
-0.0027074997778981924,
0.03896242007613182,
-0.00489417277276516,
0.004360407590866089,
0.038399990648031235,
-0.09859166294336319,
0.02669460140168667,
-0.08354363590478897,
0.0668569952249527,
0.021440960466861725,
-0.031315065920352936,
-0.06842579692602158,
0.07390188425779343,
-0.07050013542175293,
-0.034537237137556076,
-0.1486319601535797,
-0.005711977370083332,
0.057738687843084335,
-0.010645177215337753,
-0.0002842693356797099,
0.037040602415800095,
-0.08682040870189667,
-0.06035066768527031,
0.13386693596839905,
-0.028980940580368042,
-0.09826866537332535,
0.0549728088080883,
-0.01780608668923378,
-0.047272685915231705,
-0.05309121310710907,
0.07508864998817444,
0.026102984324097633,
0.008311801590025425,
0.042557794600725174,
0.003115179482847452,
0.08863958716392517,
-0.0021727867424488068,
-0.0027718665078282356,
0.00379770016297698,
0.030859533697366714,
0.024438830092549324,
0.040928587317466736,
-0.05719383805990219,
0.0477156899869442,
-0.025493277236819267,
-3.778322721359473e-8,
-0.07129599153995514,
-0.013179460540413857,
-0.03403076156973839,
0.009159975685179234,
-0.013821594417095184,
-0.0985337421298027,
-0.022112302482128143,
0.1262432187795639,
-0.025901110842823982,
-0.002327261259779334,
0.061480555683374405,
-0.026254361495375633,
-0.10052699595689774,
-0.025221217423677444,
-0.05960589274764061,
0.040239013731479645,
0.04310865327715874,
0.014059889130294323,
0.049485042691230774,
-0.01503020990639925,
0.025166280567646027,
0.1216672956943512,
-0.035531848669052124,
-0.039484359323978424,
0.030120281502604485,
-0.009486216120421886,
-0.0033987315837293863,
0.06467384099960327,
0.01486352737993002,
-0.056934475898742676,
0.03479073941707611,
0.0263453871011734,
-0.05167248845100403,
-0.06476268172264099,
0.0025737674441188574,
0.09299888461828232,
0.05716893821954727,
-0.04180324450135231,
-0.03141220659017563,
-0.061459433287382126,
0.02561335265636444,
0.044581711292266846,
-0.07781845331192017,
0.011156303808093071,
0.014348471537232399,
-0.0007037741015665233,
-0.03190624341368675,
-0.04239699989557266,
0.02631957456469536,
-0.10659957677125931,
0.06290414929389954,
-0.06786775588989258,
0.05333896726369858,
0.027029789984226227,
0.05860823392868042,
0.07310978323221207,
-0.0028209632728248835,
0.02303960733115673,
0.04355481639504433,
-0.011697698384523392,
-0.012170553207397461,
0.0924554318189621,
-0.04119523614645004,
-0.017712127417325974
] | null | null | null | null | null | null | null |
[
-0.055894821882247925,
-0.11070553213357925,
-0.03022707626223564,
0.04745758697390556,
0.021053213626146317,
0.08792106062173843,
-0.020056184381246567,
-0.0005447477451525629,
0.006462245248258114,
-0.0846685841679573,
0.0004916377947665751,
0.001986138988286257,
-0.022761521860957146,
0.09390480816364288,
-0.0319531187415123,
0.004205439239740372,
0.02392854169011116,
-0.011509575881063938,
-0.12636761367321014,
-0.1273541897535324,
0.03269484266638756,
0.12411890178918839,
0.06225715950131416,
0.008529117330908775,
0.04970451071858406,
0.00048314392915926874,
0.012787504121661186,
-0.03467655926942825,
-0.0048536211252212524,
0.046182021498680115,
0.03920423611998558,
0.01701478660106659,
0.018421243876218796,
0.019011765718460083,
0.00554089667275548,
0.01385326124727726,
-0.07426952570676804,
0.09625944495201111,
-0.02044532261788845,
-0.05134857818484306,
0.013189361430704594,
-0.030695835128426552,
-0.011712395586073399,
0.08053630590438843,
0.07418361306190491,
-0.05784492939710617,
-0.041019972413778305,
-0.047976646572351456,
0.03231874108314514,
0.02677858993411064,
-0.07113455981016159,
0.033077310770750046,
0.007580877747386694,
0.04205118492245674,
-0.025375548750162125,
-0.024418747052550316,
-0.024894820526242256,
-0.002276510000228882,
-0.003950000740587711,
0.004503726959228516,
0.026220085099339485,
-0.04407784342765808,
-0.027611954137682915,
-0.004827875643968582,
0.016855189576745033,
0.006885437294840813,
-0.014058294706046581,
0.05668346956372261,
-0.06983643025159836,
0.11968336999416351,
0.0037204050458967686,
0.025721624493598938,
-0.07488314062356949,
0.035787925124168396,
0.05541924014687538,
0.014036680571734905,
-0.031610481441020966,
-0.052666716277599335,
0.019215857610106468,
-0.052888207137584686,
0.008379868231713772,
0.014736279845237732,
0.0729471743106842,
0.08525052666664124,
0.04496921971440315,
-0.006139274686574936,
0.09389488399028778,
0.039682600647211075,
-0.04439815506339073,
0.005920883733779192,
-0.03930921480059624,
-0.07721959799528122,
0.03290332108736038,
0.004358185920864344,
-0.024702057242393494,
0.02011965773999691,
0.06261013448238373,
-0.05438403785228729,
0.0044921087101101875,
0.035997409373521805,
0.0010927255498245358,
0.08322936296463013,
0.011518488638103008,
-0.005335091147571802,
-0.02674257941544056,
-0.03365347534418106,
0.09622418135404587,
0.06812819838523865,
0.019978675991296768,
-0.07903815060853958,
0.06316928565502167,
0.038143277168273926,
-0.008052335120737553,
0.009521112777292728,
0.07196799665689468,
-0.07359366118907928,
0.0002801357477437705,
-0.04910887032747269,
0.03830244764685631,
0.06651070713996887,
-0.06003713980317116,
0.02167779579758644,
-0.005197466351091862,
0.00793423317372799,
-0.021765906363725662,
-0.044001929461956024,
-0.007330731023102999,
1.5043738847888586e-33,
0.005995621904730797,
0.06229986995458603,
-0.03690316528081894,
0.058105114847421646,
0.0023482211399823427,
-0.013463926501572132,
-0.045640185475349426,
0.0069017354398965836,
-0.0037489759270101786,
-0.0051475707441568375,
-0.09520050883293152,
-0.0011495233047753572,
-0.041814450174570084,
0.1154676079750061,
0.0031478088349103928,
0.0023214854300022125,
-0.05361715331673622,
0.06273769587278366,
0.025768063962459564,
-0.02656121924519539,
0.026328735053539276,
0.04478510841727257,
-0.009407872334122658,
0.013885105028748512,
0.011495956219732761,
-0.021049099043011665,
0.10490141063928604,
-0.015836482867598534,
-0.1000647023320198,
-0.007881445810198784,
-0.1114320233464241,
-0.06126942113041878,
0.07739076018333435,
0.04484420642256737,
-0.01762024499475956,
-0.012535035610198975,
0.007550475653260946,
0.030758066102862358,
-0.011784721165895462,
-0.04811204597353935,
0.042577970772981644,
0.0559798926115036,
0.007166828960180283,
-0.008518223650753498,
-0.058599088340997696,
-0.01076519675552845,
0.035957347601652145,
-0.05763201788067818,
-0.040314555168151855,
-0.02783270739018917,
0.057519715279340744,
0.06568866968154907,
-0.0405757762491703,
0.006968667730689049,
0.0488448366522789,
-0.010675114579498768,
0.05289022997021675,
0.03684617578983307,
0.07862219214439392,
0.05664321035146713,
0.02543843910098076,
0.006759262643754482,
0.061609044671058655,
0.006900233682245016,
0.06995786726474762,
0.021555686369538307,
-0.0014863878022879362,
-0.021615872159600258,
0.017217591404914856,
-0.012874717824161053,
-0.06029769033193588,
0.04151254892349243,
-0.007133405655622482,
-0.05472204461693764,
0.03910359367728233,
0.05415461212396622,
0.021275363862514496,
-0.11305713653564453,
-0.014317266643047333,
0.0696195662021637,
-0.018200013786554337,
-0.06759098172187805,
0.10822582989931107,
-0.07507840543985367,
-0.08026402443647385,
-0.09890186786651611,
0.0575094148516655,
-0.1375454068183899,
0.05178001895546913,
0.005792990792542696,
-0.024230308830738068,
-0.011555120348930359,
-0.0020663451869040728,
-0.04158562421798706,
0.05830703303217888,
-9.137236975086646e-34,
-0.013914122246205807,
-0.012416752986609936,
-0.03561777621507645,
0.04744971543550491,
-0.03571457788348198,
-0.08754686266183853,
-0.023811310529708862,
0.11108451336622238,
-0.02355019561946392,
-0.07584390789270401,
-0.014451313763856888,
-0.06252266466617584,
0.07929939031600952,
0.007327623665332794,
0.04420788958668709,
0.03897785022854805,
0.08188895881175995,
0.005497380159795284,
0.01907377876341343,
0.053011853247880936,
0.019584309309720993,
0.04037284106016159,
-0.040011774748563766,
0.0681075006723404,
0.007650250103324652,
0.014009300619363785,
-0.0024328194558620453,
-0.0007171405013650656,
-0.015158863738179207,
-0.059131305664777756,
0.006104213185608387,
-0.021700052544474602,
-0.06831970810890198,
-0.015311467461287975,
-0.10830449312925339,
0.0679507851600647,
0.018561722710728645,
-0.06650056689977646,
-0.022145962342619896,
0.06253889203071594,
0.11278551816940308,
0.012421013787388802,
-0.06477291882038116,
0.011406498029828072,
-0.038613494485616684,
-0.026346897706389427,
-0.06502927839756012,
-0.017349444329738617,
0.08452378958463669,
-0.02569465897977352,
-0.0027074997778981924,
0.03896242007613182,
-0.00489417277276516,
0.004360407590866089,
0.038399990648031235,
-0.09859166294336319,
0.02669460140168667,
-0.08354363590478897,
0.0668569952249527,
0.021440960466861725,
-0.031315065920352936,
-0.06842579692602158,
0.07390188425779343,
-0.07050013542175293,
-0.034537237137556076,
-0.1486319601535797,
-0.005711977370083332,
0.057738687843084335,
-0.010645177215337753,
-0.0002842693356797099,
0.037040602415800095,
-0.08682040870189667,
-0.06035066768527031,
0.13386693596839905,
-0.028980940580368042,
-0.09826866537332535,
0.0549728088080883,
-0.01780608668923378,
-0.047272685915231705,
-0.05309121310710907,
0.07508864998817444,
0.026102984324097633,
0.008311801590025425,
0.042557794600725174,
0.003115179482847452,
0.08863958716392517,
-0.0021727867424488068,
-0.0027718665078282356,
0.00379770016297698,
0.030859533697366714,
0.024438830092549324,
0.040928587317466736,
-0.05719383805990219,
0.0477156899869442,
-0.025493277236819267,
-3.778322721359473e-8,
-0.07129599153995514,
-0.013179460540413857,
-0.03403076156973839,
0.009159975685179234,
-0.013821594417095184,
-0.0985337421298027,
-0.022112302482128143,
0.1262432187795639,
-0.025901110842823982,
-0.002327261259779334,
0.061480555683374405,
-0.026254361495375633,
-0.10052699595689774,
-0.025221217423677444,
-0.05960589274764061,
0.040239013731479645,
0.04310865327715874,
0.014059889130294323,
0.049485042691230774,
-0.01503020990639925,
0.025166280567646027,
0.1216672956943512,
-0.035531848669052124,
-0.039484359323978424,
0.030120281502604485,
-0.009486216120421886,
-0.0033987315837293863,
0.06467384099960327,
0.01486352737993002,
-0.056934475898742676,
0.03479073941707611,
0.0263453871011734,
-0.05167248845100403,
-0.06476268172264099,
0.0025737674441188574,
0.09299888461828232,
0.05716893821954727,
-0.04180324450135231,
-0.03141220659017563,
-0.061459433287382126,
0.02561335265636444,
0.044581711292266846,
-0.07781845331192017,
0.011156303808093071,
0.014348471537232399,
-0.0007037741015665233,
-0.03190624341368675,
-0.04239699989557266,
0.02631957456469536,
-0.10659957677125931,
0.06290414929389954,
-0.06786775588989258,
0.05333896726369858,
0.027029789984226227,
0.05860823392868042,
0.07310978323221207,
-0.0028209632728248835,
0.02303960733115673,
0.04355481639504433,
-0.011697698384523392,
-0.012170553207397461,
0.0924554318189621,
-0.04119523614645004,
-0.017712127417325974
] |
1402.3072
|
Seyoung Yun
|
Se-Young Yun and Alexandre Proutiere
|
Community Detection via Random and Adaptive Sampling
| null | null | null | null |
cs.SI physics.soc-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we consider networks consisting of a finite number of
non-overlapping communities. To extract these communities, the interaction
between pairs of nodes may be sampled from a large available data set, which
allows a given node pair to be sampled several times. When a node pair is
sampled, the observed outcome is a binary random variable, equal to 1 if nodes
interact and to 0 otherwise. The outcome is more likely to be positive if nodes
belong to the same communities. For a given budget of node pair samples or
observations, we wish to jointly design a sampling strategy (the sequence of
sampled node pairs) and a clustering algorithm that recover the hidden
communities with the highest possible accuracy. We consider both non-adaptive
and adaptive sampling strategies, and for both classes of strategies, we derive
fundamental performance limits satisfied by any sampling and clustering
algorithm. In particular, we provide necessary conditions for the existence of
algorithms recovering the communities accurately as the network size grows
large. We also devise simple algorithms that accurately reconstruct the
communities when this is at all possible, hence proving that the proposed
necessary conditions for accurate community detection are also sufficient. The
classical problem of community detection in the stochastic block model can be
seen as a particular instance of the problems consider here. But our framework
covers more general scenarios where the sequence of sampled node pairs can be
designed in an adaptive manner. The paper provides new results for the
stochastic block model, and extends the analysis to the case of adaptive
sampling.
|
[
{
"created": "Thu, 13 Feb 2014 10:00:07 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2014 20:32:31 GMT",
"version": "v2"
}
] |
2014-02-20
|
[
[
"Yun",
"Se-Young",
""
],
[
"Proutiere",
"Alexandre",
""
]
] |
[
-0.07443144917488098,
-0.03926074132323265,
-0.07253775000572205,
0.07566557079553604,
0.08308519423007965,
-0.04480729252099991,
-0.006430830806493759,
-0.12063693255186081,
0.047205761075019836,
-0.039343275129795074,
0.02557072974741459,
-0.025573786348104477,
0.0587475523352623,
-0.04822666570544243,
-0.002987608313560486,
-0.023039406165480614,
0.07313751429319382,
0.03914502263069153,
0.048418182879686356,
-0.030946550890803337,
-0.07150761038064957,
0.05711764469742775,
0.07260448485612869,
0.016750255599617958,
0.022679166868329048,
-0.0787564218044281,
0.01660100743174553,
-0.04390471428632736,
0.008293923921883106,
-0.012046475894749165,
0.1357770711183548,
-0.008982722647488117,
0.04810432344675064,
-0.047755394130945206,
0.05581299588084221,
0.02359754592180252,
-0.04128234088420868,
0.030001787468791008,
0.007330627180635929,
0.05440729111433029,
0.03669448569417,
0.026392020285129547,
0.010064923204481602,
-0.053298670798540115,
-0.006887206342071295,
0.06484256684780121,
-0.017560670152306557,
0.09082099050283432,
0.007589546497911215,
0.0013487004907801747,
-0.022280890494585037,
-0.0019706126768141985,
-0.005751457531005144,
-0.0014974421355873346,
0.04073329642415047,
-0.06051265075802803,
-0.012450890615582466,
-0.03485440835356712,
0.01720748096704483,
-0.05549429729580879,
0.06809382140636444,
-0.07221207767724991,
0.03578123077750206,
-0.009855161421000957,
-0.03367811068892479,
0.0481867790222168,
0.014366403222084045,
0.10728693753480911,
0.10963462293148041,
-0.016891712322831154,
0.053144101053476334,
0.0460575632750988,
-0.09420516341924667,
0.09208603948354721,
0.03509197756648064,
0.04220600426197052,
-0.0038615181110799313,
0.0037340419366955757,
-0.042663730680942535,
-0.005721394903957844,
-0.03913293778896332,
-0.016908520832657814,
0.007282858248800039,
-0.004027689341455698,
-0.010562215000391006,
-0.035700201988220215,
-0.05449947342276573,
-0.04414974898099899,
0.09217196702957153,
-0.03009963221848011,
-0.11851375550031662,
0.11330025643110275,
-0.04288656264543533,
-0.03700389713048935,
0.015858914703130722,
-0.022277189418673515,
0.061159200966358185,
-0.03299345821142197,
0.03320859745144844,
0.15591351687908173,
-0.011344905942678452,
0.013033296912908554,
0.06050989776849747,
-0.06340048462152481,
0.021913448348641396,
0.04227875545620918,
0.002541498513892293,
0.02787098102271557,
0.048672132194042206,
0.012061632238328457,
0.0022609808947890997,
0.03989660367369652,
-0.010886718519032001,
0.04074379801750183,
0.07465989887714386,
-0.09215039014816284,
0.1446428894996643,
0.0046998863108456135,
-0.012727736495435238,
0.09843830019235611,
0.016963360831141472,
0.008497691713273525,
0.03451065719127655,
-0.10231227427721024,
0.1019994392991066,
0.04018997773528099,
-0.04861893504858017,
5.136139813280631e-34,
0.012555434368550777,
0.0022868153173476458,
0.03733116015791893,
0.0038792325649410486,
0.04231497645378113,
-0.026191269978880882,
0.018726401031017303,
-0.03823535889387131,
0.019565118476748466,
-0.0023093391209840775,
-0.012713588774204254,
0.02614704519510269,
0.0642683207988739,
0.02110559307038784,
0.030599696561694145,
-0.03548485040664673,
0.021201912313699722,
0.06721237301826477,
0.033626988530159,
-0.12567239999771118,
0.03967614099383354,
-0.05682448670268059,
0.024236882105469704,
0.022512387484312057,
-0.06593915075063705,
-0.03285574913024902,
-0.02125333994626999,
-0.005707068368792534,
0.08592892438173294,
-0.007189975585788488,
0.0011815117904916406,
0.04669066518545151,
0.01573639176785946,
0.03356068581342697,
0.05097777023911476,
0.06320758908987045,
0.059848852455616,
-0.08256451785564423,
-0.07072219997644424,
-0.03537069633603096,
-0.0400293730199337,
0.03437740355730057,
0.09784121811389923,
-0.10542531311511993,
-0.016155943274497986,
-0.05998348817229271,
0.009081225842237473,
-0.07100507616996765,
-0.04054570570588112,
-0.031741444021463394,
0.08378198742866516,
-0.06604424118995667,
-0.02221246436238289,
0.06194703280925751,
-0.07063372433185577,
0.04050155356526375,
0.0509660430252552,
0.0459267720580101,
0.07007619738578796,
0.0838790312409401,
-0.04161275550723076,
-0.04370994120836258,
-0.039753977209329605,
0.012716144323348999,
0.05315233767032623,
0.11077891290187836,
-0.011622237972915173,
0.04114681854844093,
0.06011195853352547,
-0.05531250312924385,
0.041254542768001556,
-0.00732369814068079,
-0.058384254574775696,
0.01556435041129589,
-0.09298098832368851,
0.0029123376589268446,
-0.047372542321681976,
-0.05868697538971901,
-0.061849404126405716,
0.08164443075656891,
0.010075940750539303,
-0.07527322322130203,
-0.06262516230344772,
-0.05403435230255127,
-0.05420832708477974,
-0.021654454991221428,
0.05843949317932129,
-0.007025907281786203,
0.021219154819846153,
-0.025104733183979988,
-0.055276092141866684,
-0.015391306951642036,
-0.030163170769810677,
-0.04988396167755127,
0.07366260141134262,
-1.805148634524215e-33,
-0.02336190640926361,
0.026840128004550934,
0.08763720840215683,
0.01089483592659235,
0.03982117772102356,
-0.06812382489442825,
-0.040930427610874176,
-0.0634833574295044,
0.013158084824681282,
-0.052694644778966904,
-0.13020099699497223,
-0.04491167142987251,
0.0998130515217781,
-0.038131922483444214,
-0.02386012114584446,
0.060652848333120346,
0.03134370222687721,
0.05562824010848999,
-0.036179959774017334,
0.009294947609305382,
-0.03516631945967674,
0.027030350640416145,
-0.06015821173787117,
0.0004044640518259257,
0.07548169791698456,
0.032877787947654724,
-0.005643700249493122,
0.012288232333958149,
0.01368896197527647,
-0.044947437942028046,
-0.0739780068397522,
-0.008565753698348999,
-0.04045294597744942,
-0.08992098271846771,
0.03795962780714035,
0.07362435758113861,
-0.031240105628967285,
0.05452192574739456,
0.011197524145245552,
-0.010039207525551319,
0.04782208427786827,
0.026022786274552345,
-0.10021274536848068,
0.021452542394399643,
-0.0030027064494788647,
-0.015639251098036766,
-0.048283424228429794,
0.06926687061786652,
-0.026470782235264778,
0.03358343988656998,
-0.03173331543803215,
0.01787136308848858,
0.04077377915382385,
0.02557816170156002,
0.018037935718894005,
-0.026803817600011826,
-0.02648899145424366,
0.10013788193464279,
0.03111974149942398,
0.022316595539450645,
-0.043058186769485474,
-0.08571790158748627,
-0.12693080306053162,
0.06749668717384338,
0.006505385506898165,
-0.04600198566913605,
0.02034403756260872,
-0.028099704533815384,
0.0516134612262249,
0.05779547244310379,
-0.008364804089069366,
0.0907893031835556,
-0.024557655677199364,
-0.02280275709927082,
-0.04846639931201935,
0.011316715739667416,
0.022812318056821823,
0.038221120834350586,
0.022274957969784737,
-0.05436763912439346,
-0.021324045956134796,
0.0117647685110569,
0.017253456637263298,
-0.07847950607538223,
0.12453477829694748,
-0.024277182295918465,
-0.014211335219442844,
-0.03184030205011368,
0.028856443241238594,
-0.003004902508109808,
-0.021774353459477425,
-0.014270938001573086,
0.01814294420182705,
-0.06447093933820724,
-0.05146382749080658,
-4.693074018291554e-8,
-0.0980987697839737,
0.05653586611151695,
-0.03215769678354263,
-0.0026311061810702085,
0.06244584918022156,
0.048910655081272125,
-0.018151547759771347,
-0.020555119961500168,
-0.0351506806910038,
-0.013361583463847637,
0.07594241946935654,
-0.031628988683223724,
-0.0004432820715010166,
-0.002730315551161766,
-0.0011125955497846007,
-0.025586741045117378,
-0.010740634053945541,
-0.021879179403185844,
-0.028892267495393753,
0.033454250544309616,
-0.03349862992763519,
-0.044770803302526474,
-0.021817583590745926,
0.048549994826316833,
0.05818607285618782,
-0.03552083298563957,
-0.020838608965277672,
-0.045160576701164246,
0.030608318746089935,
-0.05123751610517502,
-0.056271474808454514,
0.0037088198587298393,
-0.017599688842892647,
0.017223546281456947,
0.06292282044887543,
0.10348973423242569,
-0.05551506578922272,
0.033305052667856216,
-0.041996296495199203,
-0.06857998669147491,
-0.014931131154298782,
0.03431418538093567,
-0.03100362792611122,
-0.055386509746313095,
-0.0051962207071483135,
0.015353916212916374,
-0.005010682623833418,
0.03291795402765274,
-0.0320391021668911,
-0.1155032068490982,
-0.02505413629114628,
-0.07203050702810287,
0.0031573360320180655,
-0.014315812848508358,
0.0036881226114928722,
0.025721458718180656,
-0.05735408887267113,
0.014941335655748844,
0.081800676882267,
0.05751686170697212,
0.017683226615190506,
-0.035583410412073135,
-0.11508334428071976,
-0.06183172017335892
] | null | null | null | null | null | null | null |
[
-0.07443144917488098,
-0.03926074132323265,
-0.07253775000572205,
0.07566557079553604,
0.08308519423007965,
-0.04480729252099991,
-0.006430830806493759,
-0.12063693255186081,
0.047205761075019836,
-0.039343275129795074,
0.02557072974741459,
-0.025573786348104477,
0.0587475523352623,
-0.04822666570544243,
-0.002987608313560486,
-0.023039406165480614,
0.07313751429319382,
0.03914502263069153,
0.048418182879686356,
-0.030946550890803337,
-0.07150761038064957,
0.05711764469742775,
0.07260448485612869,
0.016750255599617958,
0.022679166868329048,
-0.0787564218044281,
0.01660100743174553,
-0.04390471428632736,
0.008293923921883106,
-0.012046475894749165,
0.1357770711183548,
-0.008982722647488117,
0.04810432344675064,
-0.047755394130945206,
0.05581299588084221,
0.02359754592180252,
-0.04128234088420868,
0.030001787468791008,
0.007330627180635929,
0.05440729111433029,
0.03669448569417,
0.026392020285129547,
0.010064923204481602,
-0.053298670798540115,
-0.006887206342071295,
0.06484256684780121,
-0.017560670152306557,
0.09082099050283432,
0.007589546497911215,
0.0013487004907801747,
-0.022280890494585037,
-0.0019706126768141985,
-0.005751457531005144,
-0.0014974421355873346,
0.04073329642415047,
-0.06051265075802803,
-0.012450890615582466,
-0.03485440835356712,
0.01720748096704483,
-0.05549429729580879,
0.06809382140636444,
-0.07221207767724991,
0.03578123077750206,
-0.009855161421000957,
-0.03367811068892479,
0.0481867790222168,
0.014366403222084045,
0.10728693753480911,
0.10963462293148041,
-0.016891712322831154,
0.053144101053476334,
0.0460575632750988,
-0.09420516341924667,
0.09208603948354721,
0.03509197756648064,
0.04220600426197052,
-0.0038615181110799313,
0.0037340419366955757,
-0.042663730680942535,
-0.005721394903957844,
-0.03913293778896332,
-0.016908520832657814,
0.007282858248800039,
-0.004027689341455698,
-0.010562215000391006,
-0.035700201988220215,
-0.05449947342276573,
-0.04414974898099899,
0.09217196702957153,
-0.03009963221848011,
-0.11851375550031662,
0.11330025643110275,
-0.04288656264543533,
-0.03700389713048935,
0.015858914703130722,
-0.022277189418673515,
0.061159200966358185,
-0.03299345821142197,
0.03320859745144844,
0.15591351687908173,
-0.011344905942678452,
0.013033296912908554,
0.06050989776849747,
-0.06340048462152481,
0.021913448348641396,
0.04227875545620918,
0.002541498513892293,
0.02787098102271557,
0.048672132194042206,
0.012061632238328457,
0.0022609808947890997,
0.03989660367369652,
-0.010886718519032001,
0.04074379801750183,
0.07465989887714386,
-0.09215039014816284,
0.1446428894996643,
0.0046998863108456135,
-0.012727736495435238,
0.09843830019235611,
0.016963360831141472,
0.008497691713273525,
0.03451065719127655,
-0.10231227427721024,
0.1019994392991066,
0.04018997773528099,
-0.04861893504858017,
5.136139813280631e-34,
0.012555434368550777,
0.0022868153173476458,
0.03733116015791893,
0.0038792325649410486,
0.04231497645378113,
-0.026191269978880882,
0.018726401031017303,
-0.03823535889387131,
0.019565118476748466,
-0.0023093391209840775,
-0.012713588774204254,
0.02614704519510269,
0.0642683207988739,
0.02110559307038784,
0.030599696561694145,
-0.03548485040664673,
0.021201912313699722,
0.06721237301826477,
0.033626988530159,
-0.12567239999771118,
0.03967614099383354,
-0.05682448670268059,
0.024236882105469704,
0.022512387484312057,
-0.06593915075063705,
-0.03285574913024902,
-0.02125333994626999,
-0.005707068368792534,
0.08592892438173294,
-0.007189975585788488,
0.0011815117904916406,
0.04669066518545151,
0.01573639176785946,
0.03356068581342697,
0.05097777023911476,
0.06320758908987045,
0.059848852455616,
-0.08256451785564423,
-0.07072219997644424,
-0.03537069633603096,
-0.0400293730199337,
0.03437740355730057,
0.09784121811389923,
-0.10542531311511993,
-0.016155943274497986,
-0.05998348817229271,
0.009081225842237473,
-0.07100507616996765,
-0.04054570570588112,
-0.031741444021463394,
0.08378198742866516,
-0.06604424118995667,
-0.02221246436238289,
0.06194703280925751,
-0.07063372433185577,
0.04050155356526375,
0.0509660430252552,
0.0459267720580101,
0.07007619738578796,
0.0838790312409401,
-0.04161275550723076,
-0.04370994120836258,
-0.039753977209329605,
0.012716144323348999,
0.05315233767032623,
0.11077891290187836,
-0.011622237972915173,
0.04114681854844093,
0.06011195853352547,
-0.05531250312924385,
0.041254542768001556,
-0.00732369814068079,
-0.058384254574775696,
0.01556435041129589,
-0.09298098832368851,
0.0029123376589268446,
-0.047372542321681976,
-0.05868697538971901,
-0.061849404126405716,
0.08164443075656891,
0.010075940750539303,
-0.07527322322130203,
-0.06262516230344772,
-0.05403435230255127,
-0.05420832708477974,
-0.021654454991221428,
0.05843949317932129,
-0.007025907281786203,
0.021219154819846153,
-0.025104733183979988,
-0.055276092141866684,
-0.015391306951642036,
-0.030163170769810677,
-0.04988396167755127,
0.07366260141134262,
-1.805148634524215e-33,
-0.02336190640926361,
0.026840128004550934,
0.08763720840215683,
0.01089483592659235,
0.03982117772102356,
-0.06812382489442825,
-0.040930427610874176,
-0.0634833574295044,
0.013158084824681282,
-0.052694644778966904,
-0.13020099699497223,
-0.04491167142987251,
0.0998130515217781,
-0.038131922483444214,
-0.02386012114584446,
0.060652848333120346,
0.03134370222687721,
0.05562824010848999,
-0.036179959774017334,
0.009294947609305382,
-0.03516631945967674,
0.027030350640416145,
-0.06015821173787117,
0.0004044640518259257,
0.07548169791698456,
0.032877787947654724,
-0.005643700249493122,
0.012288232333958149,
0.01368896197527647,
-0.044947437942028046,
-0.0739780068397522,
-0.008565753698348999,
-0.04045294597744942,
-0.08992098271846771,
0.03795962780714035,
0.07362435758113861,
-0.031240105628967285,
0.05452192574739456,
0.011197524145245552,
-0.010039207525551319,
0.04782208427786827,
0.026022786274552345,
-0.10021274536848068,
0.021452542394399643,
-0.0030027064494788647,
-0.015639251098036766,
-0.048283424228429794,
0.06926687061786652,
-0.026470782235264778,
0.03358343988656998,
-0.03173331543803215,
0.01787136308848858,
0.04077377915382385,
0.02557816170156002,
0.018037935718894005,
-0.026803817600011826,
-0.02648899145424366,
0.10013788193464279,
0.03111974149942398,
0.022316595539450645,
-0.043058186769485474,
-0.08571790158748627,
-0.12693080306053162,
0.06749668717384338,
0.006505385506898165,
-0.04600198566913605,
0.02034403756260872,
-0.028099704533815384,
0.0516134612262249,
0.05779547244310379,
-0.008364804089069366,
0.0907893031835556,
-0.024557655677199364,
-0.02280275709927082,
-0.04846639931201935,
0.011316715739667416,
0.022812318056821823,
0.038221120834350586,
0.022274957969784737,
-0.05436763912439346,
-0.021324045956134796,
0.0117647685110569,
0.017253456637263298,
-0.07847950607538223,
0.12453477829694748,
-0.024277182295918465,
-0.014211335219442844,
-0.03184030205011368,
0.028856443241238594,
-0.003004902508109808,
-0.021774353459477425,
-0.014270938001573086,
0.01814294420182705,
-0.06447093933820724,
-0.05146382749080658,
-4.693074018291554e-8,
-0.0980987697839737,
0.05653586611151695,
-0.03215769678354263,
-0.0026311061810702085,
0.06244584918022156,
0.048910655081272125,
-0.018151547759771347,
-0.020555119961500168,
-0.0351506806910038,
-0.013361583463847637,
0.07594241946935654,
-0.031628988683223724,
-0.0004432820715010166,
-0.002730315551161766,
-0.0011125955497846007,
-0.025586741045117378,
-0.010740634053945541,
-0.021879179403185844,
-0.028892267495393753,
0.033454250544309616,
-0.03349862992763519,
-0.044770803302526474,
-0.021817583590745926,
0.048549994826316833,
0.05818607285618782,
-0.03552083298563957,
-0.020838608965277672,
-0.045160576701164246,
0.030608318746089935,
-0.05123751610517502,
-0.056271474808454514,
0.0037088198587298393,
-0.017599688842892647,
0.017223546281456947,
0.06292282044887543,
0.10348973423242569,
-0.05551506578922272,
0.033305052667856216,
-0.041996296495199203,
-0.06857998669147491,
-0.014931131154298782,
0.03431418538093567,
-0.03100362792611122,
-0.055386509746313095,
-0.0051962207071483135,
0.015353916212916374,
-0.005010682623833418,
0.03291795402765274,
-0.0320391021668911,
-0.1155032068490982,
-0.02505413629114628,
-0.07203050702810287,
0.0031573360320180655,
-0.014315812848508358,
0.0036881226114928722,
0.025721458718180656,
-0.05735408887267113,
0.014941335655748844,
0.081800676882267,
0.05751686170697212,
0.017683226615190506,
-0.035583410412073135,
-0.11508334428071976,
-0.06183172017335892
] |
1402.3074
|
Parastoo Sadeghi
|
Ulric J. Ferner, Parastoo Sadeghi, Neda Aboutorab, and Muriel Medard
|
Scheduling Advantages of Network Coded Storage in Point-to-Multipoint
Networks
| null | null | null | null |
cs.IT cs.NI math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider scheduling strategies for point-to-multipoint (PMP) storage area
networks (SANs) that use network coded storage (NCS). In particular, we present
a simple SAN system model, two server scheduling algorithms for PMP networks,
and analytical expressions for internal and external blocking probability. We
point to select scheduling advantages in NCS systems under normal operating
conditions, where content requests can be temporarily denied owing to finite
system capacity from drive I/O access or storage redundancy limitations. NCS
can lead to improvements in throughput and blocking probability due to
increased immediate scheduling options, and complements other well documented
NCS advantages such as regeneration, and can be used as a guide for future
storage system design.
|
[
{
"created": "Thu, 13 Feb 2014 10:07:06 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Ferner",
"Ulric J.",
""
],
[
"Sadeghi",
"Parastoo",
""
],
[
"Aboutorab",
"Neda",
""
],
[
"Medard",
"Muriel",
""
]
] |
[
-0.012837906368076801,
0.005352494772523642,
0.0029738787561655045,
0.057572685182094574,
-0.036266081035137177,
-0.0010195093927904963,
-0.00864995364099741,
0.004411849658936262,
0.043319568037986755,
0.06582793593406677,
-0.0066774506121873856,
0.12016674131155014,
0.02639889158308506,
-0.018576133996248245,
-0.011058127507567406,
0.03276784345507622,
0.05889596790075302,
-0.10255275666713715,
0.0517488494515419,
0.05953071638941765,
0.014328660443425179,
-0.07473165541887283,
-0.018575651571154594,
-0.04506337642669678,
-0.010988683439791203,
0.022553008049726486,
-0.04900853708386421,
0.015547769144177437,
-0.0019068487454205751,
-0.032514069229364395,
-0.007494453806430101,
-0.04420027509331703,
0.0396936871111393,
-0.001954278675839305,
0.09403149783611298,
-0.03486797958612442,
-0.054600805044174194,
-0.03340110555291176,
-0.04360709711909294,
-0.03627427667379379,
0.012831569649279118,
0.056362830102443695,
-0.019880613312125206,
0.09739784896373749,
-0.06195329874753952,
-0.015463721007108688,
0.008865484036505222,
0.017925769090652466,
-0.06941064447164536,
-0.08412215113639832,
0.03374195471405983,
0.023447291925549507,
0.00960314180701971,
0.04875684902071953,
0.018731605261564255,
-0.03293661028146744,
-0.002790295286104083,
0.02024315483868122,
-0.030958760529756546,
0.04205389320850372,
0.0982842668890953,
-0.011689944192767143,
0.04098990559577942,
-0.019225090742111206,
0.028961801901459694,
0.05631321668624878,
0.03935391828417778,
0.06036734953522682,
-0.04378644749522209,
-0.029728351160883904,
-0.026110192760825157,
0.05553126335144043,
-0.06363020092248917,
0.09296905249357224,
0.04034349322319031,
0.03204069659113884,
0.05706724151968956,
0.018760619685053825,
-0.02285436913371086,
-0.04311908781528473,
-0.06185741722583771,
-0.015949664637446404,
-0.030544502660632133,
-0.00138257653452456,
-0.050517067313194275,
-0.06383316963911057,
-0.07699307054281235,
0.062046319246292114,
-0.043009575456380844,
-0.03738706186413765,
0.02354610338807106,
0.012554114684462547,
-0.01327892392873764,
0.01131821796298027,
-0.03320997208356857,
-0.029866714030504227,
-0.0867978110909462,
-0.0036531956866383553,
-0.05135218799114227,
-0.045190051198005676,
0.032801128923892975,
0.01582707092165947,
0.02992064319550991,
-0.10658411681652069,
0.009622993879020214,
-0.033477261662483215,
0.09654492884874344,
0.05075348541140556,
-0.02360706403851509,
0.008249584585428238,
-0.01822062022984028,
0.08242443203926086,
-0.0615285225212574,
0.01423367578536272,
-0.05081301927566528,
0.07995738834142685,
-0.02819747105240822,
0.001417173189111054,
-0.004612070508301258,
0.009400280192494392,
-0.023251214995980263,
-0.06972780078649521,
-0.051705315709114075,
-0.09941654652357101,
-0.06219586357474327,
0.0030161638278514147,
0.03756330907344818,
2.9950135874562974e-33,
-0.07248294353485107,
-0.05314570665359497,
-0.08741734176874161,
-0.10573017597198486,
0.09545289725065231,
-0.09727682918310165,
0.015468013472855091,
-0.019284969195723534,
-0.026707686483860016,
-0.10309656709432602,
-0.035369135439395905,
-0.04110301285982132,
0.01759917289018631,
-0.06563403457403183,
0.04781295731663704,
-0.027432775124907494,
0.0755411759018898,
0.018274853006005287,
0.09455929696559906,
-0.06440901756286621,
0.029084082692861557,
-0.054374150931835175,
-0.01536481361836195,
-0.02148415893316269,
0.07566127926111221,
-0.003712221747264266,
0.0318029411137104,
-0.07326151430606842,
0.09717884659767151,
-0.0055563366040587425,
-0.015248888172209263,
0.006940331310033798,
0.0316181480884552,
0.012296803295612335,
0.0710771232843399,
-0.00019328654161654413,
0.03278529271483421,
-0.045712415128946304,
-0.04634593054652214,
-0.013962929137051105,
0.005866574589163065,
-0.03437621891498566,
-0.05278025567531586,
-0.005716140381991863,
-0.009999336674809456,
-0.07096714526414871,
-0.06061676889657974,
0.02675062231719494,
-0.0751723200082779,
0.05556662380695343,
0.07637465000152588,
0.06704819947481155,
0.02517028898000717,
0.05497995764017105,
0.059413567185401917,
0.02733912691473961,
-0.015330329537391663,
-0.050078220665454865,
0.091884545981884,
0.1437554657459259,
0.05736590549349785,
-0.053172122687101364,
0.04947517439723015,
-0.04076305404305458,
-0.024363867938518524,
-0.03513368219137192,
0.03696225583553314,
-0.06710167229175568,
0.04983404651284218,
0.008902858011424541,
0.05310416221618652,
-0.04523586481809616,
0.03982341289520264,
0.0058479406870901585,
-0.011279658414423466,
0.01575290784239769,
-0.03501569852232933,
-0.01617136038839817,
0.002829659963026643,
-0.021556371822953224,
-0.0018120051827281713,
-0.03655741363763809,
-0.04007827118039131,
0.10361228883266449,
0.0015658005140721798,
-0.007445267867296934,
0.015624817460775375,
0.03300619497895241,
-0.05078023672103882,
-0.026052020490169525,
-0.01876465417444706,
-0.06297743320465088,
0.06680762022733688,
-0.016213344410061836,
-0.0036203667987138033,
-3.4559111470892926e-33,
0.0033771274611353874,
0.0006244510877877474,
0.0021169916726648808,
-0.01437215507030487,
-0.004355862271040678,
-0.008837682195007801,
-0.07456757873296738,
-0.08081532269716263,
-0.006059656850993633,
0.059463486075401306,
-0.08585303276777267,
-0.024037722498178482,
0.02266794443130493,
-0.05445024371147156,
-0.022690413519740105,
-0.05986586958169937,
-0.005429207347333431,
-0.03098890744149685,
0.0008274171268567443,
0.040502361953258514,
-0.024006638675928116,
0.05264316126704216,
0.012211339548230171,
0.003956535365432501,
0.005113996099680662,
0.04362910985946655,
-0.0758223906159401,
0.018638120964169502,
-0.024147847667336464,
-0.013007346540689468,
-0.07174299657344818,
-0.07470386475324631,
0.03356098011136055,
-0.08388397097587585,
0.05565822869539261,
0.026923812925815582,
0.048177171498537064,
0.0638069361448288,
-0.08059471845626831,
0.058884184807538986,
0.030845927074551582,
-0.09775809198617935,
-0.05889960750937462,
-0.001959758112207055,
0.010913651436567307,
0.04744827747344971,
-0.052765656262636185,
-0.011554751545190811,
0.02207118459045887,
0.03687814995646477,
-0.0492246076464653,
-0.06410317122936249,
0.014225505292415619,
0.012148046866059303,
0.0900685265660286,
0.001253790222108364,
-0.05943503603339195,
0.03730800002813339,
-0.008742040023207664,
0.07750017195940018,
0.03583326190710068,
-0.1469670683145523,
0.037738289684057236,
0.04862302914261818,
-0.017934221774339676,
-0.04445524886250496,
0.11690379679203033,
-0.02423902601003647,
-0.0774070993065834,
-0.026676230132579803,
0.03500174731016159,
0.09000589698553085,
-0.007136334199458361,
0.08032830059528351,
-0.06601858884096146,
0.010090759955346584,
0.044893547892570496,
0.020192673429846764,
0.036050181835889816,
0.024435047060251236,
-0.11222056299448013,
0.06003450229763985,
-0.09974019229412079,
0.05007490888237953,
0.01546338852494955,
0.001255515730008483,
0.037419646978378296,
-0.07050538808107376,
-0.0031497867312282324,
-0.08554346114397049,
-0.07421477138996124,
0.023974411189556122,
-0.0753985121846199,
0.037159644067287445,
-0.045346103608608246,
-4.129355346549346e-8,
-0.01937578245997429,
-0.01286048162728548,
-0.015225091017782688,
0.04345763102173805,
-0.016443690285086632,
0.0035197166725993156,
0.0033772424794733524,
0.05715969577431679,
0.07852614670991898,
0.09529731422662735,
0.12741105258464813,
-0.05119052529335022,
-0.026526520028710365,
-0.09366929531097412,
-0.027433492243289948,
0.06532677263021469,
0.027060771360993385,
-0.03812241554260254,
0.012416412122547626,
0.006184580270200968,
0.03942595049738884,
0.010313152335584164,
0.04004373028874397,
0.01595986634492874,
0.01318499818444252,
-0.021325645968317986,
0.06687238812446594,
0.016059452667832375,
0.04713759571313858,
-0.016095543280243874,
0.04020552337169647,
0.003602013224735856,
0.057240087538957596,
0.05175206810235977,
-0.0019567878916859627,
-0.03948378190398216,
0.005189073272049427,
0.03588970750570297,
0.04451218247413635,
0.11338730901479721,
0.14196370542049408,
-0.023676903918385506,
0.05881683900952339,
-0.006993549410253763,
0.07271984219551086,
0.002516568871214986,
-0.011686689220368862,
0.13308532536029816,
-0.05486056208610535,
0.033850207924842834,
-0.0390707291662693,
-0.027743766084313393,
-0.10749034583568573,
0.11296679824590683,
-0.012189216911792755,
-0.026422832161188126,
0.016720212996006012,
-0.01413802057504654,
0.07337257266044617,
0.10051318258047104,
0.00475293816998601,
0.06774397194385529,
-0.08162764459848404,
0.018453747034072876
] | null | null | null | null | null | null | null |
[
-0.012837906368076801,
0.005352494772523642,
0.0029738787561655045,
0.057572685182094574,
-0.036266081035137177,
-0.0010195093927904963,
-0.00864995364099741,
0.004411849658936262,
0.043319568037986755,
0.06582793593406677,
-0.0066774506121873856,
0.12016674131155014,
0.02639889158308506,
-0.018576133996248245,
-0.011058127507567406,
0.03276784345507622,
0.05889596790075302,
-0.10255275666713715,
0.0517488494515419,
0.05953071638941765,
0.014328660443425179,
-0.07473165541887283,
-0.018575651571154594,
-0.04506337642669678,
-0.010988683439791203,
0.022553008049726486,
-0.04900853708386421,
0.015547769144177437,
-0.0019068487454205751,
-0.032514069229364395,
-0.007494453806430101,
-0.04420027509331703,
0.0396936871111393,
-0.001954278675839305,
0.09403149783611298,
-0.03486797958612442,
-0.054600805044174194,
-0.03340110555291176,
-0.04360709711909294,
-0.03627427667379379,
0.012831569649279118,
0.056362830102443695,
-0.019880613312125206,
0.09739784896373749,
-0.06195329874753952,
-0.015463721007108688,
0.008865484036505222,
0.017925769090652466,
-0.06941064447164536,
-0.08412215113639832,
0.03374195471405983,
0.023447291925549507,
0.00960314180701971,
0.04875684902071953,
0.018731605261564255,
-0.03293661028146744,
-0.002790295286104083,
0.02024315483868122,
-0.030958760529756546,
0.04205389320850372,
0.0982842668890953,
-0.011689944192767143,
0.04098990559577942,
-0.019225090742111206,
0.028961801901459694,
0.05631321668624878,
0.03935391828417778,
0.06036734953522682,
-0.04378644749522209,
-0.029728351160883904,
-0.026110192760825157,
0.05553126335144043,
-0.06363020092248917,
0.09296905249357224,
0.04034349322319031,
0.03204069659113884,
0.05706724151968956,
0.018760619685053825,
-0.02285436913371086,
-0.04311908781528473,
-0.06185741722583771,
-0.015949664637446404,
-0.030544502660632133,
-0.00138257653452456,
-0.050517067313194275,
-0.06383316963911057,
-0.07699307054281235,
0.062046319246292114,
-0.043009575456380844,
-0.03738706186413765,
0.02354610338807106,
0.012554114684462547,
-0.01327892392873764,
0.01131821796298027,
-0.03320997208356857,
-0.029866714030504227,
-0.0867978110909462,
-0.0036531956866383553,
-0.05135218799114227,
-0.045190051198005676,
0.032801128923892975,
0.01582707092165947,
0.02992064319550991,
-0.10658411681652069,
0.009622993879020214,
-0.033477261662483215,
0.09654492884874344,
0.05075348541140556,
-0.02360706403851509,
0.008249584585428238,
-0.01822062022984028,
0.08242443203926086,
-0.0615285225212574,
0.01423367578536272,
-0.05081301927566528,
0.07995738834142685,
-0.02819747105240822,
0.001417173189111054,
-0.004612070508301258,
0.009400280192494392,
-0.023251214995980263,
-0.06972780078649521,
-0.051705315709114075,
-0.09941654652357101,
-0.06219586357474327,
0.0030161638278514147,
0.03756330907344818,
2.9950135874562974e-33,
-0.07248294353485107,
-0.05314570665359497,
-0.08741734176874161,
-0.10573017597198486,
0.09545289725065231,
-0.09727682918310165,
0.015468013472855091,
-0.019284969195723534,
-0.026707686483860016,
-0.10309656709432602,
-0.035369135439395905,
-0.04110301285982132,
0.01759917289018631,
-0.06563403457403183,
0.04781295731663704,
-0.027432775124907494,
0.0755411759018898,
0.018274853006005287,
0.09455929696559906,
-0.06440901756286621,
0.029084082692861557,
-0.054374150931835175,
-0.01536481361836195,
-0.02148415893316269,
0.07566127926111221,
-0.003712221747264266,
0.0318029411137104,
-0.07326151430606842,
0.09717884659767151,
-0.0055563366040587425,
-0.015248888172209263,
0.006940331310033798,
0.0316181480884552,
0.012296803295612335,
0.0710771232843399,
-0.00019328654161654413,
0.03278529271483421,
-0.045712415128946304,
-0.04634593054652214,
-0.013962929137051105,
0.005866574589163065,
-0.03437621891498566,
-0.05278025567531586,
-0.005716140381991863,
-0.009999336674809456,
-0.07096714526414871,
-0.06061676889657974,
0.02675062231719494,
-0.0751723200082779,
0.05556662380695343,
0.07637465000152588,
0.06704819947481155,
0.02517028898000717,
0.05497995764017105,
0.059413567185401917,
0.02733912691473961,
-0.015330329537391663,
-0.050078220665454865,
0.091884545981884,
0.1437554657459259,
0.05736590549349785,
-0.053172122687101364,
0.04947517439723015,
-0.04076305404305458,
-0.024363867938518524,
-0.03513368219137192,
0.03696225583553314,
-0.06710167229175568,
0.04983404651284218,
0.008902858011424541,
0.05310416221618652,
-0.04523586481809616,
0.03982341289520264,
0.0058479406870901585,
-0.011279658414423466,
0.01575290784239769,
-0.03501569852232933,
-0.01617136038839817,
0.002829659963026643,
-0.021556371822953224,
-0.0018120051827281713,
-0.03655741363763809,
-0.04007827118039131,
0.10361228883266449,
0.0015658005140721798,
-0.007445267867296934,
0.015624817460775375,
0.03300619497895241,
-0.05078023672103882,
-0.026052020490169525,
-0.01876465417444706,
-0.06297743320465088,
0.06680762022733688,
-0.016213344410061836,
-0.0036203667987138033,
-3.4559111470892926e-33,
0.0033771274611353874,
0.0006244510877877474,
0.0021169916726648808,
-0.01437215507030487,
-0.004355862271040678,
-0.008837682195007801,
-0.07456757873296738,
-0.08081532269716263,
-0.006059656850993633,
0.059463486075401306,
-0.08585303276777267,
-0.024037722498178482,
0.02266794443130493,
-0.05445024371147156,
-0.022690413519740105,
-0.05986586958169937,
-0.005429207347333431,
-0.03098890744149685,
0.0008274171268567443,
0.040502361953258514,
-0.024006638675928116,
0.05264316126704216,
0.012211339548230171,
0.003956535365432501,
0.005113996099680662,
0.04362910985946655,
-0.0758223906159401,
0.018638120964169502,
-0.024147847667336464,
-0.013007346540689468,
-0.07174299657344818,
-0.07470386475324631,
0.03356098011136055,
-0.08388397097587585,
0.05565822869539261,
0.026923812925815582,
0.048177171498537064,
0.0638069361448288,
-0.08059471845626831,
0.058884184807538986,
0.030845927074551582,
-0.09775809198617935,
-0.05889960750937462,
-0.001959758112207055,
0.010913651436567307,
0.04744827747344971,
-0.052765656262636185,
-0.011554751545190811,
0.02207118459045887,
0.03687814995646477,
-0.0492246076464653,
-0.06410317122936249,
0.014225505292415619,
0.012148046866059303,
0.0900685265660286,
0.001253790222108364,
-0.05943503603339195,
0.03730800002813339,
-0.008742040023207664,
0.07750017195940018,
0.03583326190710068,
-0.1469670683145523,
0.037738289684057236,
0.04862302914261818,
-0.017934221774339676,
-0.04445524886250496,
0.11690379679203033,
-0.02423902601003647,
-0.0774070993065834,
-0.026676230132579803,
0.03500174731016159,
0.09000589698553085,
-0.007136334199458361,
0.08032830059528351,
-0.06601858884096146,
0.010090759955346584,
0.044893547892570496,
0.020192673429846764,
0.036050181835889816,
0.024435047060251236,
-0.11222056299448013,
0.06003450229763985,
-0.09974019229412079,
0.05007490888237953,
0.01546338852494955,
0.001255515730008483,
0.037419646978378296,
-0.07050538808107376,
-0.0031497867312282324,
-0.08554346114397049,
-0.07421477138996124,
0.023974411189556122,
-0.0753985121846199,
0.037159644067287445,
-0.045346103608608246,
-4.129355346549346e-8,
-0.01937578245997429,
-0.01286048162728548,
-0.015225091017782688,
0.04345763102173805,
-0.016443690285086632,
0.0035197166725993156,
0.0033772424794733524,
0.05715969577431679,
0.07852614670991898,
0.09529731422662735,
0.12741105258464813,
-0.05119052529335022,
-0.026526520028710365,
-0.09366929531097412,
-0.027433492243289948,
0.06532677263021469,
0.027060771360993385,
-0.03812241554260254,
0.012416412122547626,
0.006184580270200968,
0.03942595049738884,
0.010313152335584164,
0.04004373028874397,
0.01595986634492874,
0.01318499818444252,
-0.021325645968317986,
0.06687238812446594,
0.016059452667832375,
0.04713759571313858,
-0.016095543280243874,
0.04020552337169647,
0.003602013224735856,
0.057240087538957596,
0.05175206810235977,
-0.0019567878916859627,
-0.03948378190398216,
0.005189073272049427,
0.03588970750570297,
0.04451218247413635,
0.11338730901479721,
0.14196370542049408,
-0.023676903918385506,
0.05881683900952339,
-0.006993549410253763,
0.07271984219551086,
0.002516568871214986,
-0.011686689220368862,
0.13308532536029816,
-0.05486056208610535,
0.033850207924842834,
-0.0390707291662693,
-0.027743766084313393,
-0.10749034583568573,
0.11296679824590683,
-0.012189216911792755,
-0.026422832161188126,
0.016720212996006012,
-0.01413802057504654,
0.07337257266044617,
0.10051318258047104,
0.00475293816998601,
0.06774397194385529,
-0.08162764459848404,
0.018453747034072876
] |
1402.3075
|
Lukas Gilz Lukas Gilz
|
Lukas Gilz, Luis Rico-P\'erez and James R. Anglin
|
Decoherence of trapped bosons by buffer gas scattering: What length
scales matter?
| null |
Phys. Rev. A 89, 052131 (2014)
|
10.1103/PhysRevA.89.052131
| null |
quant-ph physics.atom-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We ask and answer a basic question about the length scales involved in
quantum decoherence: how far apart in space do two parts of a quantum system
have to be, before a common quantum environment decoheres them as if they were
entirely separate? We frame this question specifically in a cold atom context.
How far apart do two populations of bosons have to be, before an environment of
thermal atoms of a different species (`buffer gas') responds to their two
particle numbers separately? An initial guess for this length scale is the
thermal coherence length of the buffer gas; we show that a standard Born-Markov
treatment partially supports this guess, but predicts only inverse-square
saturation of decoherence rates with distance, and not the much more abrupt
Gaussian behavior of the buffer gas's first-order coherence. We confirm this
Born-Markov result with a more rigorous theory, based on an exact solution of a
two-scatterer scattering problem, which also extends the result beyond weak
scattering. Finally, however, we show that when interactions within the buffer
gas reservoir are taken into account, an abrupt saturation of the decoherence
rate does occur, exponentially on the length scale of the buffer gas's mean
free path.
|
[
{
"created": "Thu, 13 Feb 2014 10:10:19 GMT",
"version": "v1"
}
] |
2014-06-11
|
[
[
"Gilz",
"Lukas",
""
],
[
"Rico-Pérez",
"Luis",
""
],
[
"Anglin",
"James R.",
""
]
] |
[
0.0029323636554181576,
-0.05609894171357155,
-0.01820066198706627,
0.07366601377725601,
0.021523039788007736,
0.027032114565372467,
-0.036003950983285904,
-0.005619483534246683,
0.040439702570438385,
-0.06650178879499435,
-0.014344257302582264,
-0.049972258508205414,
-0.032093700021505356,
-0.009450183250010014,
0.0467841774225235,
-0.05490701645612717,
0.08245739340782166,
-0.013277138583362103,
-0.0635855495929718,
0.004568594507873058,
0.001566932536661625,
0.03609763830900192,
-0.02571507729589939,
0.016239576041698456,
0.025465678423643112,
-0.0377994105219841,
0.04063871502876282,
-0.01667250506579876,
-0.018257414922118187,
0.10133593529462814,
0.05693120136857033,
-0.032089248299598694,
0.029591558501124382,
-0.010467479936778545,
0.06415142118930817,
-0.016938943415880203,
0.03678464516997337,
0.03802351653575897,
0.026627274230122566,
-0.010910815559327602,
0.02494696155190468,
0.04622340947389603,
-0.0534348301589489,
0.020900240167975426,
0.010996939614415169,
-0.014326723292469978,
0.014949004165828228,
-0.018604036420583725,
-0.08346337825059891,
-0.10948754101991653,
0.03214181959629059,
0.1524466574192047,
-0.06300186365842819,
0.1082843691110611,
0.0032694998662918806,
0.005427991971373558,
-0.032851442694664,
0.015598504804074764,
-0.08860386162996292,
-0.06747860461473465,
-0.0600072517991066,
-0.0644533783197403,
-0.0267631858587265,
-0.015535905957221985,
0.12089387327432632,
-0.014040004462003708,
0.0578434094786644,
0.023162640631198883,
0.028356876224279404,
0.081773541867733,
-0.13093003630638123,
0.07047782093286514,
-0.026824871078133583,
0.030424775555729866,
0.04236297309398651,
0.030272312462329865,
-0.03304508328437805,
0.03193622827529907,
0.02852087840437889,
-0.07948781549930573,
0.019073940813541412,
-0.07589231431484222,
0.02167835645377636,
-0.03954257816076279,
-0.03357492387294769,
0.013144949451088905,
0.03375903144478798,
0.012807218357920647,
-0.05017973855137825,
-0.04442530497908592,
-0.009793214499950409,
-0.07577237486839294,
-0.009026125073432922,
0.0013800362357869744,
-0.04131240397691727,
-0.033103957772254944,
0.0710953027009964,
-0.008441267535090446,
0.06470958143472672,
-0.0028483960777521133,
0.03900059312582016,
-0.03586911782622337,
0.048427678644657135,
0.047265514731407166,
-0.03546527400612831,
0.029013527557253838,
0.006689534988254309,
-0.02126648649573326,
0.014060483314096928,
0.01578669808804989,
0.07853174954652786,
-0.05437067896127701,
0.06040329113602638,
0.039831336587667465,
0.024571595713496208,
0.016592184081673622,
-0.003916935063898563,
0.043106142431497574,
-0.004843026865273714,
-0.005396130960434675,
-0.008634100668132305,
0.05911656469106674,
-0.04598146304488182,
0.04874579608440399,
0.008351183496415615,
0.048134248703718185,
-0.021103868260979652,
4.90617730241629e-33,
-0.0016146368579939008,
0.004417627118527889,
0.07624503970146179,
0.0706450343132019,
0.019735092297196388,
-0.021249400451779366,
0.0009948739316314459,
-0.051275432109832764,
-0.041685800999403,
0.08323932439088821,
0.029168983921408653,
-0.031174104660749435,
0.10176648944616318,
-0.019364988431334496,
0.02068335935473442,
0.09557032585144043,
-0.11155993491411209,
0.05174453929066658,
-0.0034341318532824516,
0.05841512233018875,
-0.013470873236656189,
0.05277341976761818,
-0.01695818454027176,
-0.020971771329641342,
0.007137821055948734,
-0.06579597294330597,
0.0006140969344414771,
-0.08180542290210724,
-0.0991763100028038,
-0.0030992135871201754,
-0.08833424001932144,
0.03967560455203056,
-0.05558780953288078,
0.03103671781718731,
0.03606466203927994,
-0.10357687622308731,
0.01449988130480051,
-0.030278431251645088,
-0.0507425032556057,
-0.11633323132991791,
0.018183553591370583,
-0.04022110253572464,
0.011035802774131298,
0.019116612151265144,
0.027960658073425293,
-0.06492036581039429,
0.01307966373860836,
-0.06899628788232803,
-0.05049426481127739,
-0.04570038989186287,
0.04653872922062874,
-0.03567461296916008,
-0.02700575813651085,
0.016979170963168144,
0.07540356367826462,
-0.07385502010583878,
0.08153798431158066,
-0.012047592550516129,
0.05012703686952591,
0.027311882004141808,
0.010305788367986679,
0.01685803011059761,
-0.023219944909214973,
-0.022620759904384613,
0.016011184081435204,
0.07024463266134262,
-0.12531904876232147,
-0.026023076847195625,
0.03327352926135063,
-0.008935042656958103,
0.019674871116876602,
0.08664585649967194,
0.047001611441373825,
-0.05195290595293045,
0.03250954672694206,
-0.013949662446975708,
0.10537108778953552,
-0.023706380277872086,
0.0006795384688302875,
0.014217143878340721,
-0.0235857293009758,
-0.06686896830797195,
-0.04142982140183449,
-0.028170626610517502,
-0.1387670636177063,
-0.09955040365457535,
-0.04376843944191933,
-0.09519575536251068,
-0.07014765590429306,
0.011237138882279396,
-0.0009049542713910341,
-0.059882752597332,
0.050698015838861465,
-0.004316226579248905,
-0.046611156314611435,
-4.536224250957561e-33,
0.038053084164857864,
-0.02088179625570774,
-0.07398863136768341,
0.05733048915863037,
-0.028294581919908524,
0.005026235245168209,
-0.0031137552578002214,
0.053951989859342575,
0.006686447653919458,
-0.1270146518945694,
0.01804293692111969,
0.09150394797325134,
0.09365347027778625,
0.016482507809996605,
0.0315416045486927,
0.033967457711696625,
0.09786032140254974,
0.002743363380432129,
0.0963049903512001,
0.00042130262590944767,
0.09121474623680115,
-0.07239317893981934,
0.02546013705432415,
-0.06509417295455933,
-0.005172770470380783,
0.0327581949532032,
0.07676847279071808,
-0.03935402259230614,
-0.016881464049220085,
-0.03302355110645294,
-0.0539633147418499,
-0.08497162163257599,
-0.020834486931562424,
0.020975880324840546,
-0.08051356673240662,
0.0037825298495590687,
0.031621262431144714,
0.012995453551411629,
-0.06963760405778885,
-0.0010031141573563218,
-0.030106937512755394,
-0.03525320068001747,
-0.0403667576611042,
0.01976686343550682,
0.026208464056253433,
-0.03184375911951065,
0.01279087457805872,
0.009119365364313126,
-0.0067768883891403675,
-0.010630183853209019,
0.026051923632621765,
0.04738549888134003,
-0.07408368587493896,
0.08120118826627731,
-0.0640174150466919,
0.0350932776927948,
0.014637323096394539,
0.10104402154684067,
0.06978079676628113,
0.07218565791845322,
-0.03245539218187332,
0.020669102668762207,
0.025814462453126907,
0.030173109844326973,
0.025490177795290947,
0.005358558148145676,
-0.07667037099599838,
0.038588691502809525,
0.038096535950899124,
-0.06754576414823532,
-0.03998541831970215,
-0.0771510973572731,
0.029287897050380707,
0.027420591562986374,
0.04911462217569351,
0.025113696232438087,
0.04564788192510605,
-0.12791667878627777,
-0.03728151693940163,
0.04859556630253792,
-0.15726444125175476,
0.03293853625655174,
-0.028512775897979736,
0.04659106209874153,
0.10903770476579666,
-0.04959302395582199,
-0.06898894906044006,
-0.0785401314496994,
0.01756204478442669,
-0.05492999777197838,
0.006479371339082718,
-0.0280751995742321,
0.02300923690199852,
-0.07944037020206451,
0.010415388271212578,
-5.337009412187399e-8,
0.016244985163211823,
-0.010455584153532982,
-0.0011569942580536008,
0.08706934750080109,
0.05383935570716858,
0.05161920189857483,
0.03008466213941574,
0.020821018144488335,
-0.035205453634262085,
0.027878645807504654,
0.07333556562662125,
-0.011827906593680382,
0.01982453092932701,
0.04899130016565323,
0.042409855872392654,
0.008329187519848347,
-0.05904804915189743,
-0.13530929386615753,
-0.05844908580183983,
-0.054752226918935776,
0.025860654190182686,
0.005641015712171793,
-0.013702885247766972,
0.04653114825487137,
-0.04332717880606651,
0.029309825971722603,
-0.018732493743300438,
0.015295878984034061,
-0.017449894919991493,
-0.05442275479435921,
-0.019325153902173042,
0.008460719138383865,
0.0640568733215332,
0.07361163944005966,
0.05940021947026253,
-0.03968438878655434,
-0.060829345136880875,
0.10899703949689865,
-0.013682016171514988,
0.02067856676876545,
-0.003671686165034771,
0.039053790271282196,
-0.04183665290474892,
0.06042642518877983,
0.11575073003768921,
0.029587265104055405,
-0.03034859336912632,
0.0026023227255791426,
0.029497159644961357,
0.04843529686331749,
0.02857058309018612,
0.019025087356567383,
-0.014000494964420795,
-0.0010873209685087204,
-0.004532540682703257,
-0.037222255021333694,
-0.0541527085006237,
-0.008613553829491138,
-0.005235115997493267,
0.06447300314903259,
0.05836828798055649,
0.06659585237503052,
-0.03379505127668381,
-0.0014510976616293192
] | null | null | null | null | null | null | null |
[
0.0029323636554181576,
-0.05609894171357155,
-0.01820066198706627,
0.07366601377725601,
0.021523039788007736,
0.027032114565372467,
-0.036003950983285904,
-0.005619483534246683,
0.040439702570438385,
-0.06650178879499435,
-0.014344257302582264,
-0.049972258508205414,
-0.032093700021505356,
-0.009450183250010014,
0.0467841774225235,
-0.05490701645612717,
0.08245739340782166,
-0.013277138583362103,
-0.0635855495929718,
0.004568594507873058,
0.001566932536661625,
0.03609763830900192,
-0.02571507729589939,
0.016239576041698456,
0.025465678423643112,
-0.0377994105219841,
0.04063871502876282,
-0.01667250506579876,
-0.018257414922118187,
0.10133593529462814,
0.05693120136857033,
-0.032089248299598694,
0.029591558501124382,
-0.010467479936778545,
0.06415142118930817,
-0.016938943415880203,
0.03678464516997337,
0.03802351653575897,
0.026627274230122566,
-0.010910815559327602,
0.02494696155190468,
0.04622340947389603,
-0.0534348301589489,
0.020900240167975426,
0.010996939614415169,
-0.014326723292469978,
0.014949004165828228,
-0.018604036420583725,
-0.08346337825059891,
-0.10948754101991653,
0.03214181959629059,
0.1524466574192047,
-0.06300186365842819,
0.1082843691110611,
0.0032694998662918806,
0.005427991971373558,
-0.032851442694664,
0.015598504804074764,
-0.08860386162996292,
-0.06747860461473465,
-0.0600072517991066,
-0.0644533783197403,
-0.0267631858587265,
-0.015535905957221985,
0.12089387327432632,
-0.014040004462003708,
0.0578434094786644,
0.023162640631198883,
0.028356876224279404,
0.081773541867733,
-0.13093003630638123,
0.07047782093286514,
-0.026824871078133583,
0.030424775555729866,
0.04236297309398651,
0.030272312462329865,
-0.03304508328437805,
0.03193622827529907,
0.02852087840437889,
-0.07948781549930573,
0.019073940813541412,
-0.07589231431484222,
0.02167835645377636,
-0.03954257816076279,
-0.03357492387294769,
0.013144949451088905,
0.03375903144478798,
0.012807218357920647,
-0.05017973855137825,
-0.04442530497908592,
-0.009793214499950409,
-0.07577237486839294,
-0.009026125073432922,
0.0013800362357869744,
-0.04131240397691727,
-0.033103957772254944,
0.0710953027009964,
-0.008441267535090446,
0.06470958143472672,
-0.0028483960777521133,
0.03900059312582016,
-0.03586911782622337,
0.048427678644657135,
0.047265514731407166,
-0.03546527400612831,
0.029013527557253838,
0.006689534988254309,
-0.02126648649573326,
0.014060483314096928,
0.01578669808804989,
0.07853174954652786,
-0.05437067896127701,
0.06040329113602638,
0.039831336587667465,
0.024571595713496208,
0.016592184081673622,
-0.003916935063898563,
0.043106142431497574,
-0.004843026865273714,
-0.005396130960434675,
-0.008634100668132305,
0.05911656469106674,
-0.04598146304488182,
0.04874579608440399,
0.008351183496415615,
0.048134248703718185,
-0.021103868260979652,
4.90617730241629e-33,
-0.0016146368579939008,
0.004417627118527889,
0.07624503970146179,
0.0706450343132019,
0.019735092297196388,
-0.021249400451779366,
0.0009948739316314459,
-0.051275432109832764,
-0.041685800999403,
0.08323932439088821,
0.029168983921408653,
-0.031174104660749435,
0.10176648944616318,
-0.019364988431334496,
0.02068335935473442,
0.09557032585144043,
-0.11155993491411209,
0.05174453929066658,
-0.0034341318532824516,
0.05841512233018875,
-0.013470873236656189,
0.05277341976761818,
-0.01695818454027176,
-0.020971771329641342,
0.007137821055948734,
-0.06579597294330597,
0.0006140969344414771,
-0.08180542290210724,
-0.0991763100028038,
-0.0030992135871201754,
-0.08833424001932144,
0.03967560455203056,
-0.05558780953288078,
0.03103671781718731,
0.03606466203927994,
-0.10357687622308731,
0.01449988130480051,
-0.030278431251645088,
-0.0507425032556057,
-0.11633323132991791,
0.018183553591370583,
-0.04022110253572464,
0.011035802774131298,
0.019116612151265144,
0.027960658073425293,
-0.06492036581039429,
0.01307966373860836,
-0.06899628788232803,
-0.05049426481127739,
-0.04570038989186287,
0.04653872922062874,
-0.03567461296916008,
-0.02700575813651085,
0.016979170963168144,
0.07540356367826462,
-0.07385502010583878,
0.08153798431158066,
-0.012047592550516129,
0.05012703686952591,
0.027311882004141808,
0.010305788367986679,
0.01685803011059761,
-0.023219944909214973,
-0.022620759904384613,
0.016011184081435204,
0.07024463266134262,
-0.12531904876232147,
-0.026023076847195625,
0.03327352926135063,
-0.008935042656958103,
0.019674871116876602,
0.08664585649967194,
0.047001611441373825,
-0.05195290595293045,
0.03250954672694206,
-0.013949662446975708,
0.10537108778953552,
-0.023706380277872086,
0.0006795384688302875,
0.014217143878340721,
-0.0235857293009758,
-0.06686896830797195,
-0.04142982140183449,
-0.028170626610517502,
-0.1387670636177063,
-0.09955040365457535,
-0.04376843944191933,
-0.09519575536251068,
-0.07014765590429306,
0.011237138882279396,
-0.0009049542713910341,
-0.059882752597332,
0.050698015838861465,
-0.004316226579248905,
-0.046611156314611435,
-4.536224250957561e-33,
0.038053084164857864,
-0.02088179625570774,
-0.07398863136768341,
0.05733048915863037,
-0.028294581919908524,
0.005026235245168209,
-0.0031137552578002214,
0.053951989859342575,
0.006686447653919458,
-0.1270146518945694,
0.01804293692111969,
0.09150394797325134,
0.09365347027778625,
0.016482507809996605,
0.0315416045486927,
0.033967457711696625,
0.09786032140254974,
0.002743363380432129,
0.0963049903512001,
0.00042130262590944767,
0.09121474623680115,
-0.07239317893981934,
0.02546013705432415,
-0.06509417295455933,
-0.005172770470380783,
0.0327581949532032,
0.07676847279071808,
-0.03935402259230614,
-0.016881464049220085,
-0.03302355110645294,
-0.0539633147418499,
-0.08497162163257599,
-0.020834486931562424,
0.020975880324840546,
-0.08051356673240662,
0.0037825298495590687,
0.031621262431144714,
0.012995453551411629,
-0.06963760405778885,
-0.0010031141573563218,
-0.030106937512755394,
-0.03525320068001747,
-0.0403667576611042,
0.01976686343550682,
0.026208464056253433,
-0.03184375911951065,
0.01279087457805872,
0.009119365364313126,
-0.0067768883891403675,
-0.010630183853209019,
0.026051923632621765,
0.04738549888134003,
-0.07408368587493896,
0.08120118826627731,
-0.0640174150466919,
0.0350932776927948,
0.014637323096394539,
0.10104402154684067,
0.06978079676628113,
0.07218565791845322,
-0.03245539218187332,
0.020669102668762207,
0.025814462453126907,
0.030173109844326973,
0.025490177795290947,
0.005358558148145676,
-0.07667037099599838,
0.038588691502809525,
0.038096535950899124,
-0.06754576414823532,
-0.03998541831970215,
-0.0771510973572731,
0.029287897050380707,
0.027420591562986374,
0.04911462217569351,
0.025113696232438087,
0.04564788192510605,
-0.12791667878627777,
-0.03728151693940163,
0.04859556630253792,
-0.15726444125175476,
0.03293853625655174,
-0.028512775897979736,
0.04659106209874153,
0.10903770476579666,
-0.04959302395582199,
-0.06898894906044006,
-0.0785401314496994,
0.01756204478442669,
-0.05492999777197838,
0.006479371339082718,
-0.0280751995742321,
0.02300923690199852,
-0.07944037020206451,
0.010415388271212578,
-5.337009412187399e-8,
0.016244985163211823,
-0.010455584153532982,
-0.0011569942580536008,
0.08706934750080109,
0.05383935570716858,
0.05161920189857483,
0.03008466213941574,
0.020821018144488335,
-0.035205453634262085,
0.027878645807504654,
0.07333556562662125,
-0.011827906593680382,
0.01982453092932701,
0.04899130016565323,
0.042409855872392654,
0.008329187519848347,
-0.05904804915189743,
-0.13530929386615753,
-0.05844908580183983,
-0.054752226918935776,
0.025860654190182686,
0.005641015712171793,
-0.013702885247766972,
0.04653114825487137,
-0.04332717880606651,
0.029309825971722603,
-0.018732493743300438,
0.015295878984034061,
-0.017449894919991493,
-0.05442275479435921,
-0.019325153902173042,
0.008460719138383865,
0.0640568733215332,
0.07361163944005966,
0.05940021947026253,
-0.03968438878655434,
-0.060829345136880875,
0.10899703949689865,
-0.013682016171514988,
0.02067856676876545,
-0.003671686165034771,
0.039053790271282196,
-0.04183665290474892,
0.06042642518877983,
0.11575073003768921,
0.029587265104055405,
-0.03034859336912632,
0.0026023227255791426,
0.029497159644961357,
0.04843529686331749,
0.02857058309018612,
0.019025087356567383,
-0.014000494964420795,
-0.0010873209685087204,
-0.004532540682703257,
-0.037222255021333694,
-0.0541527085006237,
-0.008613553829491138,
-0.005235115997493267,
0.06447300314903259,
0.05836828798055649,
0.06659585237503052,
-0.03379505127668381,
-0.0014510976616293192
] |
1402.3080
|
Santhy Viswam
|
Santhy Viswam and Sajeer Karattil
|
Software Requirement Specification Using Reverse Speech Technology
|
5 pages, International Journal of Computer Trends and Technology
(IJCTT) vol.5 no.4
| null | null | null |
cs.CL cs.SD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Speech analysis had been taken to a new level with the discovery of Reverse
Speech (RS). RS is the discovery of hidden messages, referred as reversals, in
normal speech. Works are in progress for exploiting the relevance of RS in
different real world applications such as investigation, medical field etc. In
this paper we represent an innovative method for preparing a reliable Software
Requirement Specification (SRS) document with the help of reverse speech. As
SRS act as the backbone for the successful completion of any project, a
reliable method is needed to overcome the inconsistencies. Using RS such a
reliable method for SRS documentation was developed.
|
[
{
"created": "Thu, 13 Feb 2014 10:28:43 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Viswam",
"Santhy",
""
],
[
"Karattil",
"Sajeer",
""
]
] |
[
-0.10800497233867645,
0.055227410048246384,
0.03822029009461403,
-0.020937897264957428,
-0.030088910833001137,
-0.026366766542196274,
-0.005709747318178415,
0.004461212083697319,
-0.0724933072924614,
-0.03521381691098213,
-0.05995026230812073,
-0.04388521984219551,
0.020273074507713318,
0.0031688844319432974,
-0.008749712258577347,
-0.07808871567249298,
0.05497948080301285,
-0.014287772588431835,
0.0346197783946991,
-0.04437330365180969,
0.05317098647356033,
0.1251429170370102,
-0.0540938526391983,
-0.01760902628302574,
0.021728355437517166,
0.05070464313030243,
-0.004452106077224016,
-0.05403224378824234,
0.032298874109983444,
0.06634923815727234,
0.06143752112984657,
0.016978470608592033,
0.12371398508548737,
-0.012315899133682251,
-0.0007637489470653236,
0.015328934416174889,
0.044685203582048416,
-0.00981398206204176,
-0.016567183658480644,
0.04092423617839813,
-0.15928806364536285,
0.019552791491150856,
-0.010085812769830227,
-0.017044497653841972,
0.023798547685146332,
-0.08786942809820175,
-0.14844295382499695,
0.02058286778628826,
-0.006017221137881279,
0.04570452496409416,
-0.049188222736120224,
-0.012652899138629436,
-0.009242642670869827,
0.06776299327611923,
-0.00990590825676918,
0.055988043546676636,
0.07040070742368698,
0.026746513321995735,
-0.07416606694459915,
0.009471854194998741,
-0.023425454273819923,
-0.04082123562693596,
-0.08562680333852768,
-0.03934023156762123,
0.034603141248226166,
0.08516382426023483,
-0.06748487055301666,
-0.00976331252604723,
0.06751437485218048,
0.06980250030755997,
-0.12139807641506195,
0.044567715376615524,
0.003548808628693223,
0.07419751584529877,
-0.08457698673009872,
0.05433320626616478,
0.00527925044298172,
0.03330926597118378,
-0.007752344477921724,
-0.09819135069847107,
0.03561711311340332,
-0.03068012185394764,
0.009352211840450764,
0.06519367545843124,
0.06665879487991333,
-0.025100864470005035,
-0.0315401665866375,
-0.044373590499162674,
0.0065625435672700405,
0.0776977464556694,
-0.021655183285474777,
-0.12087442725896835,
0.11650263518095016,
0.000864728179294616,
0.04379285126924515,
0.010683737695217133,
-0.03647948056459427,
-0.06214460730552673,
0.04913826286792755,
0.00764152966439724,
-0.0425567701458931,
-0.025895053520798683,
0.05696888640522957,
-0.10944195836782455,
-0.046681471168994904,
0.029946772381663322,
0.009408734738826752,
-0.072887122631073,
0.052805643528699875,
0.0026367842219769955,
-0.023503407835960388,
0.003559892764315009,
0.01796848326921463,
-0.10003013908863068,
0.05320672318339348,
-0.017114032059907913,
0.00041539210360497236,
-0.006485676392912865,
-0.04670308157801628,
0.019410831853747368,
-0.04805167019367218,
0.08238278329372406,
0.022164534777402878,
-0.061959121376276016,
0.10172837227582932,
-0.014623879455029964,
-0.0014493176713585854,
1.6585369383278284e-33,
0.017789172008633614,
0.036240626126527786,
-0.049562543630599976,
0.06471720337867737,
-0.052514754235744476,
0.002088765846565366,
-0.01667345128953457,
0.015327752567827702,
-0.034996725618839264,
0.005590094719082117,
0.059224311262369156,
0.02718421444296837,
-0.07424233108758926,
-0.05107241868972778,
-0.008847200311720371,
0.10654415935277939,
-0.01129974890500307,
0.07124421000480652,
0.0018711824668571353,
-0.11140916496515274,
0.024792693555355072,
-0.020174546167254448,
0.04862254112958908,
-0.06502315402030945,
0.07025416940450668,
0.06332733482122421,
0.10566674917936325,
-0.10921178013086319,
0.02645234763622284,
0.0023524179123342037,
0.004102420061826706,
-0.03774164989590645,
0.08290784806013107,
-0.07400688529014587,
0.06066940724849701,
0.013969961553812027,
0.0009684083634056151,
-0.0680784285068512,
0.01837075687944889,
0.01297670230269432,
0.0034738988615572453,
-0.029381344094872475,
0.0012805876322090626,
-0.09674152731895447,
0.019025543704628944,
-0.011587575078010559,
0.008850621059536934,
-0.0034272002521902323,
0.101951003074646,
-0.02440664917230606,
0.0006213380838744342,
0.03843145817518234,
-0.026431972160935402,
-0.026613496243953705,
0.023528505116701126,
-0.052517812699079514,
0.04461463540792465,
0.016439100727438927,
0.0610911063849926,
0.09350594133138657,
0.038277242332696915,
0.010979360900819302,
-0.01709427312016487,
-0.000057352048315806314,
-0.05525290220975876,
-0.003633939428254962,
-0.03810812905430794,
-0.05054488405585289,
-0.008943461813032627,
-0.026025354862213135,
-0.04668133705854416,
-0.0723123773932457,
-0.0024486188776791096,
0.001288760220631957,
-0.03749853000044823,
0.025514433160424232,
0.025069378316402435,
0.01023548562079668,
0.028835199773311615,
-0.032497867941856384,
-0.10650337487459183,
0.010425514541566372,
0.01871642842888832,
-0.03427216410636902,
0.03953499346971512,
-0.06214775890111923,
0.010535286739468575,
-0.0327148512005806,
-0.06300614029169083,
-0.003738240571692586,
-0.015452701598405838,
-0.006018729414790869,
-0.10708250105381012,
0.10717744380235672,
0.08409285545349121,
-4.145052424440536e-33,
-0.10246066004037857,
0.08015646040439606,
-0.05906662344932556,
0.04998810216784477,
-0.020612966269254684,
-0.04066425561904907,
0.00851881317794323,
0.0325518399477005,
0.07738690823316574,
0.06465528160333633,
0.00442156195640564,
-0.0339069589972496,
0.0302144642919302,
-0.03838429972529411,
0.017480604350566864,
0.018827347084879875,
-0.015182478353381157,
-0.025198450312018394,
0.03477627411484718,
0.07078991830348969,
-0.03733927756547928,
0.07335411757230759,
-0.033341433852910995,
0.025826429948210716,
-0.02420160360634327,
-0.04904909059405327,
0.009296415373682976,
-0.00258268672041595,
0.002626643516123295,
-0.028642810881137848,
0.026294196024537086,
0.03632143512368202,
-0.06523026525974274,
0.053888771682977676,
-0.026248779147863388,
-0.052232686430215836,
-0.014950502663850784,
-0.03598126396536827,
0.02604512684047222,
0.004298271145671606,
0.09761430323123932,
0.05527271702885628,
-0.030743300914764404,
-0.05955802649259567,
-0.05520201101899147,
-0.08555396646261215,
-0.05269550532102585,
0.047422636300325394,
0.10399484634399414,
-0.11904960870742798,
0.03056505136191845,
-0.09699568897485733,
0.07113982737064362,
-0.014862634241580963,
-0.017785606905817986,
0.01099665928632021,
-0.02189328521490097,
0.011294939555227757,
0.08702407032251358,
0.04916093125939369,
0.019612343981862068,
0.01147507969290018,
0.08469326049089432,
-0.06225879117846489,
0.009448177181184292,
0.050105251371860504,
-0.010496909730136395,
-0.0030420664697885513,
-0.006741472985595465,
-0.03141595050692558,
-0.0002942523278761655,
0.05014212802052498,
-0.01478898897767067,
-0.00251592556014657,
-0.01924038864672184,
0.007205283734947443,
-0.05220713093876839,
-0.07307992875576019,
-0.04401053860783577,
-0.06440098583698273,
0.055153731256723404,
0.007958952337503433,
0.03089122660458088,
0.04345107823610306,
0.00435021985322237,
0.05415352061390877,
-0.06110793724656105,
0.009462356567382812,
-0.04347771033644676,
0.05207359418272972,
-0.08214738219976425,
0.029361119493842125,
0.005280975718051195,
0.06474647670984268,
0.0737973153591156,
-4.308466117208809e-8,
-0.07073605805635452,
-0.056751549243927,
0.04793849214911461,
-0.044787079095840454,
0.028465578332543373,
-0.005459756124764681,
-0.0363815575838089,
-0.038551054894924164,
-0.024513475596904755,
-0.03675243631005287,
-0.01969282142817974,
-0.059230122715234756,
-0.02304704114794731,
0.05619154870510101,
-0.06267470866441727,
-0.006438568700104952,
-0.02997845783829689,
0.07558141648769379,
-0.03910623863339424,
-0.0861256793141365,
0.08162671327590942,
0.0000014713313021275098,
0.04881028085947037,
0.07591323554515839,
0.04076991230249405,
-0.009107674472033978,
0.05843954533338547,
0.047686122357845306,
0.007870586588978767,
0.0017089039320126176,
0.06108400598168373,
0.014000015333294868,
0.031398314982652664,
-0.026238756254315376,
0.03295016661286354,
0.08141779899597168,
0.03883347287774086,
0.01894320547580719,
0.03851313516497612,
0.0009450122015550733,
-0.0021265835966914892,
0.0596105121076107,
-0.07486782968044281,
0.03538154438138008,
-0.04208172857761383,
-0.015346011146903038,
0.02606775052845478,
-0.06579150259494781,
-0.06447471678256989,
-0.07782590389251709,
0.023260558024048805,
-0.11046489328145981,
0.03155623376369476,
0.009049118496477604,
0.055679887533187866,
0.10121037065982819,
-0.004785998724400997,
0.020525645464658737,
-0.015811482444405556,
0.0194883830845356,
0.05932696908712387,
0.07820501923561096,
0.04305499419569969,
-0.00045825447887182236
] | null | null | null | null | null | null | null |
[
-0.10800497233867645,
0.055227410048246384,
0.03822029009461403,
-0.020937897264957428,
-0.030088910833001137,
-0.026366766542196274,
-0.005709747318178415,
0.004461212083697319,
-0.0724933072924614,
-0.03521381691098213,
-0.05995026230812073,
-0.04388521984219551,
0.020273074507713318,
0.0031688844319432974,
-0.008749712258577347,
-0.07808871567249298,
0.05497948080301285,
-0.014287772588431835,
0.0346197783946991,
-0.04437330365180969,
0.05317098647356033,
0.1251429170370102,
-0.0540938526391983,
-0.01760902628302574,
0.021728355437517166,
0.05070464313030243,
-0.004452106077224016,
-0.05403224378824234,
0.032298874109983444,
0.06634923815727234,
0.06143752112984657,
0.016978470608592033,
0.12371398508548737,
-0.012315899133682251,
-0.0007637489470653236,
0.015328934416174889,
0.044685203582048416,
-0.00981398206204176,
-0.016567183658480644,
0.04092423617839813,
-0.15928806364536285,
0.019552791491150856,
-0.010085812769830227,
-0.017044497653841972,
0.023798547685146332,
-0.08786942809820175,
-0.14844295382499695,
0.02058286778628826,
-0.006017221137881279,
0.04570452496409416,
-0.049188222736120224,
-0.012652899138629436,
-0.009242642670869827,
0.06776299327611923,
-0.00990590825676918,
0.055988043546676636,
0.07040070742368698,
0.026746513321995735,
-0.07416606694459915,
0.009471854194998741,
-0.023425454273819923,
-0.04082123562693596,
-0.08562680333852768,
-0.03934023156762123,
0.034603141248226166,
0.08516382426023483,
-0.06748487055301666,
-0.00976331252604723,
0.06751437485218048,
0.06980250030755997,
-0.12139807641506195,
0.044567715376615524,
0.003548808628693223,
0.07419751584529877,
-0.08457698673009872,
0.05433320626616478,
0.00527925044298172,
0.03330926597118378,
-0.007752344477921724,
-0.09819135069847107,
0.03561711311340332,
-0.03068012185394764,
0.009352211840450764,
0.06519367545843124,
0.06665879487991333,
-0.025100864470005035,
-0.0315401665866375,
-0.044373590499162674,
0.0065625435672700405,
0.0776977464556694,
-0.021655183285474777,
-0.12087442725896835,
0.11650263518095016,
0.000864728179294616,
0.04379285126924515,
0.010683737695217133,
-0.03647948056459427,
-0.06214460730552673,
0.04913826286792755,
0.00764152966439724,
-0.0425567701458931,
-0.025895053520798683,
0.05696888640522957,
-0.10944195836782455,
-0.046681471168994904,
0.029946772381663322,
0.009408734738826752,
-0.072887122631073,
0.052805643528699875,
0.0026367842219769955,
-0.023503407835960388,
0.003559892764315009,
0.01796848326921463,
-0.10003013908863068,
0.05320672318339348,
-0.017114032059907913,
0.00041539210360497236,
-0.006485676392912865,
-0.04670308157801628,
0.019410831853747368,
-0.04805167019367218,
0.08238278329372406,
0.022164534777402878,
-0.061959121376276016,
0.10172837227582932,
-0.014623879455029964,
-0.0014493176713585854,
1.6585369383278284e-33,
0.017789172008633614,
0.036240626126527786,
-0.049562543630599976,
0.06471720337867737,
-0.052514754235744476,
0.002088765846565366,
-0.01667345128953457,
0.015327752567827702,
-0.034996725618839264,
0.005590094719082117,
0.059224311262369156,
0.02718421444296837,
-0.07424233108758926,
-0.05107241868972778,
-0.008847200311720371,
0.10654415935277939,
-0.01129974890500307,
0.07124421000480652,
0.0018711824668571353,
-0.11140916496515274,
0.024792693555355072,
-0.020174546167254448,
0.04862254112958908,
-0.06502315402030945,
0.07025416940450668,
0.06332733482122421,
0.10566674917936325,
-0.10921178013086319,
0.02645234763622284,
0.0023524179123342037,
0.004102420061826706,
-0.03774164989590645,
0.08290784806013107,
-0.07400688529014587,
0.06066940724849701,
0.013969961553812027,
0.0009684083634056151,
-0.0680784285068512,
0.01837075687944889,
0.01297670230269432,
0.0034738988615572453,
-0.029381344094872475,
0.0012805876322090626,
-0.09674152731895447,
0.019025543704628944,
-0.011587575078010559,
0.008850621059536934,
-0.0034272002521902323,
0.101951003074646,
-0.02440664917230606,
0.0006213380838744342,
0.03843145817518234,
-0.026431972160935402,
-0.026613496243953705,
0.023528505116701126,
-0.052517812699079514,
0.04461463540792465,
0.016439100727438927,
0.0610911063849926,
0.09350594133138657,
0.038277242332696915,
0.010979360900819302,
-0.01709427312016487,
-0.000057352048315806314,
-0.05525290220975876,
-0.003633939428254962,
-0.03810812905430794,
-0.05054488405585289,
-0.008943461813032627,
-0.026025354862213135,
-0.04668133705854416,
-0.0723123773932457,
-0.0024486188776791096,
0.001288760220631957,
-0.03749853000044823,
0.025514433160424232,
0.025069378316402435,
0.01023548562079668,
0.028835199773311615,
-0.032497867941856384,
-0.10650337487459183,
0.010425514541566372,
0.01871642842888832,
-0.03427216410636902,
0.03953499346971512,
-0.06214775890111923,
0.010535286739468575,
-0.0327148512005806,
-0.06300614029169083,
-0.003738240571692586,
-0.015452701598405838,
-0.006018729414790869,
-0.10708250105381012,
0.10717744380235672,
0.08409285545349121,
-4.145052424440536e-33,
-0.10246066004037857,
0.08015646040439606,
-0.05906662344932556,
0.04998810216784477,
-0.020612966269254684,
-0.04066425561904907,
0.00851881317794323,
0.0325518399477005,
0.07738690823316574,
0.06465528160333633,
0.00442156195640564,
-0.0339069589972496,
0.0302144642919302,
-0.03838429972529411,
0.017480604350566864,
0.018827347084879875,
-0.015182478353381157,
-0.025198450312018394,
0.03477627411484718,
0.07078991830348969,
-0.03733927756547928,
0.07335411757230759,
-0.033341433852910995,
0.025826429948210716,
-0.02420160360634327,
-0.04904909059405327,
0.009296415373682976,
-0.00258268672041595,
0.002626643516123295,
-0.028642810881137848,
0.026294196024537086,
0.03632143512368202,
-0.06523026525974274,
0.053888771682977676,
-0.026248779147863388,
-0.052232686430215836,
-0.014950502663850784,
-0.03598126396536827,
0.02604512684047222,
0.004298271145671606,
0.09761430323123932,
0.05527271702885628,
-0.030743300914764404,
-0.05955802649259567,
-0.05520201101899147,
-0.08555396646261215,
-0.05269550532102585,
0.047422636300325394,
0.10399484634399414,
-0.11904960870742798,
0.03056505136191845,
-0.09699568897485733,
0.07113982737064362,
-0.014862634241580963,
-0.017785606905817986,
0.01099665928632021,
-0.02189328521490097,
0.011294939555227757,
0.08702407032251358,
0.04916093125939369,
0.019612343981862068,
0.01147507969290018,
0.08469326049089432,
-0.06225879117846489,
0.009448177181184292,
0.050105251371860504,
-0.010496909730136395,
-0.0030420664697885513,
-0.006741472985595465,
-0.03141595050692558,
-0.0002942523278761655,
0.05014212802052498,
-0.01478898897767067,
-0.00251592556014657,
-0.01924038864672184,
0.007205283734947443,
-0.05220713093876839,
-0.07307992875576019,
-0.04401053860783577,
-0.06440098583698273,
0.055153731256723404,
0.007958952337503433,
0.03089122660458088,
0.04345107823610306,
0.00435021985322237,
0.05415352061390877,
-0.06110793724656105,
0.009462356567382812,
-0.04347771033644676,
0.05207359418272972,
-0.08214738219976425,
0.029361119493842125,
0.005280975718051195,
0.06474647670984268,
0.0737973153591156,
-4.308466117208809e-8,
-0.07073605805635452,
-0.056751549243927,
0.04793849214911461,
-0.044787079095840454,
0.028465578332543373,
-0.005459756124764681,
-0.0363815575838089,
-0.038551054894924164,
-0.024513475596904755,
-0.03675243631005287,
-0.01969282142817974,
-0.059230122715234756,
-0.02304704114794731,
0.05619154870510101,
-0.06267470866441727,
-0.006438568700104952,
-0.02997845783829689,
0.07558141648769379,
-0.03910623863339424,
-0.0861256793141365,
0.08162671327590942,
0.0000014713313021275098,
0.04881028085947037,
0.07591323554515839,
0.04076991230249405,
-0.009107674472033978,
0.05843954533338547,
0.047686122357845306,
0.007870586588978767,
0.0017089039320126176,
0.06108400598168373,
0.014000015333294868,
0.031398314982652664,
-0.026238756254315376,
0.03295016661286354,
0.08141779899597168,
0.03883347287774086,
0.01894320547580719,
0.03851313516497612,
0.0009450122015550733,
-0.0021265835966914892,
0.0596105121076107,
-0.07486782968044281,
0.03538154438138008,
-0.04208172857761383,
-0.015346011146903038,
0.02606775052845478,
-0.06579150259494781,
-0.06447471678256989,
-0.07782590389251709,
0.023260558024048805,
-0.11046489328145981,
0.03155623376369476,
0.009049118496477604,
0.055679887533187866,
0.10121037065982819,
-0.004785998724400997,
0.020525645464658737,
-0.015811482444405556,
0.0194883830845356,
0.05932696908712387,
0.07820501923561096,
0.04305499419569969,
-0.00045825447887182236
] |
1402.3088
|
Francesco Picano
|
Iman Lashgari and Francesco Picano and Wim-Paul Breugem and Luca
Brandt
|
Laminar, turbulent and inertial shear-thickening regimes in channel flow
of neutrally buoyant particle suspensions
|
appears in Physical Review Letters 2014
| null |
10.1103/PhysRevLett.113.254502
| null |
physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The aim of this Letter is to characterize the flow regimes of suspensions of
finite-size rigid particles in a viscous fluid at finite inertia. We explore
the system behavior as function of the particle volume fraction and the
Reynolds number (the ratio of flow and particle inertia to viscous forces).
Unlike single phase flows where a clear distinction exists between the laminar
and the turbulent states, three different regimes can be identified in the
presence of a particulate phase, with smooth transitions between them. At low
volume fractions, the flow becomes turbulent when increasing the Reynolds
number, transitioning from the laminar regime dominated by viscous forces to
the turbulent regime characterized by enhanced momentum transport by turbulent
eddies. At larger volume fractions, we identify a new regime characterized by
an even larger increase of the wall friction. The wall friction increases with
the Reynolds number (inertial effects) while the turbulent transport is weakly
affected, as in a state of intense inertial shear-thickening. This state may
prevent the transition to a fully turbulent regime at arbitrary high speed of
the flow.
|
[
{
"created": "Thu, 13 Feb 2014 11:05:38 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Nov 2014 15:22:18 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Lashgari",
"Iman",
""
],
[
"Picano",
"Francesco",
""
],
[
"Breugem",
"Wim-Paul",
""
],
[
"Brandt",
"Luca",
""
]
] |
[
0.01953066512942314,
-0.031922806054353714,
0.05415304750204086,
0.03713136911392212,
0.07666901499032974,
0.02601873315870762,
-0.06788598746061325,
-0.054662540555000305,
0.008715189062058926,
-0.008217540569603443,
-0.046737972646951675,
-0.04964325949549675,
0.03329324349761009,
0.015940789133310318,
-0.017762232571840286,
-0.018970269709825516,
0.003016391070559621,
0.008323845453560352,
-0.0372776985168457,
0.047915246337652206,
0.02046959660947323,
0.05236348509788513,
-0.05089518427848816,
0.11290963739156723,
0.0392998531460762,
-0.0008067163289524615,
-0.1173604428768158,
-0.01716061867773533,
0.0005263738567009568,
-0.06844836473464966,
0.026420142501592636,
0.007948587648570538,
-0.1139274388551712,
-0.00639029685407877,
0.009480338543653488,
-0.09845218062400818,
0.04541511461138725,
0.11448343843221664,
-0.00817257072776556,
0.08558901399374008,
-0.01825667917728424,
-0.028378237038850784,
0.028506163507699966,
-0.011113141663372517,
0.07504173368215561,
-0.02692563086748123,
0.08281714469194412,
0.029168521985411644,
0.04618976265192032,
0.01282420288771391,
-0.03624877706170082,
0.04463200271129608,
-0.03027264028787613,
0.003515307791531086,
-0.07601845264434814,
0.0012629153206944466,
0.05829238519072533,
0.005162153858691454,
-0.04633113741874695,
-0.05324375256896019,
-0.07483502477407455,
-0.09538748115301132,
0.03552879020571709,
0.019510608166456223,
-0.12775905430316925,
-0.032027553766965866,
-0.06178424879908562,
0.06647153198719025,
0.006865716073662043,
0.041627198457717896,
0.013834381476044655,
0.07818987965583801,
-0.016177812591195107,
0.08492880314588547,
0.06187986209988594,
-0.04743576422333717,
-0.0867588147521019,
0.03626816347241402,
0.016702739521861076,
0.02027333900332451,
-0.0009655707981437445,
-0.04792205989360809,
-0.047581806778907776,
-0.015593254007399082,
-0.10821834951639175,
0.04104381054639816,
-0.02229633927345276,
-0.02648923732340336,
-0.03586404025554657,
-0.027548644691705704,
-0.05354386568069458,
0.017977170646190643,
0.03131043165922165,
-0.004125997889786959,
0.08433907479047775,
-0.02410692162811756,
0.016427215188741684,
-0.00024073735403362662,
0.10510549694299698,
0.02927383966743946,
-0.04701344668865204,
-0.04262104257941246,
0.02844468131661415,
0.06483736634254456,
0.011883297935128212,
0.06217645853757858,
0.10166671127080917,
-0.04664321616292,
-0.0025261095724999905,
0.097455695271492,
0.06753816455602646,
-0.08907438814640045,
0.011361945420503616,
0.023629391565918922,
0.07637817412614822,
-0.06720960885286331,
0.03821315988898277,
-0.052394744008779526,
-0.055754076689481735,
-0.052599020302295685,
0.01360226422548294,
-0.006972496397793293,
-0.003950781654566526,
0.0021207083482295275,
-0.01313231885433197,
-0.009637494571506977,
-0.02581610530614853,
2.496356577880998e-33,
0.04448995739221573,
-0.022960420697927475,
-0.08177720755338669,
0.06176745519042015,
-0.008200221695005894,
-0.03510615974664688,
0.06739643961191177,
0.023083152249455452,
-0.030253596603870392,
0.029210036620497704,
-0.03472760692238808,
0.02323594130575657,
-0.06569865345954895,
0.059885069727897644,
-0.0690014660358429,
-0.07050485908985138,
-0.015346051193773746,
0.011350811459124088,
0.04142360761761665,
-0.043944351375103,
0.014211315661668777,
0.019526056945323944,
-0.0823807492852211,
-0.019782032817602158,
-0.008274000138044357,
-0.010836554691195488,
0.015809498727321625,
0.0033664735965430737,
0.016146324574947357,
0.02415938675403595,
0.009367828257381916,
-0.0013134649489074945,
-0.039486367255449295,
0.027634965255856514,
0.014525535516440868,
0.008868393488228321,
-0.03581128269433975,
0.03936820104718208,
0.046678364276885986,
0.054367221891880035,
-0.07184291630983353,
0.01102293562144041,
-0.07656977325677872,
-0.0019551224540919065,
-0.07022237032651901,
-0.01621217653155327,
0.01974998041987419,
0.028889460489153862,
-0.05187442898750305,
-0.06943424791097641,
0.04334067925810814,
0.0585833378136158,
0.012348509393632412,
0.037731047719717026,
0.06394622474908829,
-0.05765235424041748,
0.08466777205467224,
-0.0007661510026082397,
-0.04600534960627556,
-0.03983481973409653,
0.0018561008619144559,
0.0527879074215889,
-0.03837037831544876,
-0.01131343562155962,
-0.011282346211373806,
0.04068846255540848,
-0.018024152144789696,
0.12616144120693207,
0.0014813124435022473,
-0.07017036527395248,
0.022256340831518173,
-0.0016359688015654683,
-0.005418321583420038,
0.03207884356379509,
0.027123497799038887,
0.04837190359830856,
-0.0011304843937978148,
0.02515307441353798,
-0.06820972263813019,
-0.011975931003689766,
-0.06701879948377609,
0.014506579376757145,
-0.04192511737346649,
0.024390749633312225,
-0.013121482916176319,
0.03158433362841606,
0.07387972623109818,
-0.02643398568034172,
-0.0473778173327446,
-0.0494261160492897,
0.014101852662861347,
0.007828093133866787,
0.16024474799633026,
0.04418826103210449,
0.001945569645613432,
-5.378806479341484e-33,
0.02023378387093544,
0.0029748452361673117,
0.012846959754824638,
0.09682604670524597,
0.011935469694435596,
0.0638122707605362,
0.04303120821714401,
0.05431288853287697,
0.05188465118408203,
-0.13488107919692993,
0.0008474255446344614,
0.021605394780635834,
-0.009917755611240864,
0.08057389408349991,
0.1566784530878067,
-0.046409543603658676,
-0.04451942443847656,
0.002312619471922517,
-0.01047482155263424,
-0.05995842069387436,
-0.024106735363602638,
-0.051989685744047165,
-0.015432305634021759,
0.027761930599808693,
0.016942152753472328,
-0.013197003863751888,
-0.051070429384708405,
-0.09238019585609436,
-0.017593590542674065,
0.031469766050577164,
-0.03850806877017021,
-0.0681324303150177,
0.003299249103292823,
0.02911132387816906,
-0.01689157634973526,
0.007736210245639086,
-0.007735919207334518,
0.014584844000637531,
-0.023721206933259964,
-0.10776948183774948,
-0.004976402502506971,
-0.040139246731996536,
0.05319257825613022,
-0.011564880609512329,
0.014670166186988354,
-0.0011707397643476725,
-0.008466006256639957,
0.008141341619193554,
-0.013156337663531303,
0.012317348271608353,
-0.03215401619672775,
-0.004083439242094755,
0.04618136212229729,
0.014275694265961647,
0.0688081756234169,
0.05816403031349182,
0.11062407493591309,
0.03966085985302925,
0.054998621344566345,
-0.04429211467504501,
-0.07249587774276733,
-0.022507237270474434,
-0.14526255428791046,
-0.005485937464982271,
-0.0021084395702928305,
-0.03435344249010086,
-0.048564422875642776,
-0.05566196143627167,
-0.0013587535358965397,
-0.0366680808365345,
0.008639718405902386,
0.019795846194028854,
0.044251907616853714,
0.07877674698829651,
0.04422212019562721,
-0.001965863397344947,
0.04681751877069473,
-0.016075734049081802,
-0.04872320964932442,
0.10160662978887558,
-0.05764954537153244,
0.05866354703903198,
-0.0166982002556324,
-0.07293630391359329,
0.009033966809511185,
-0.12085559219121933,
-0.0921550840139389,
-0.06951141357421875,
0.03029496781527996,
0.029881058260798454,
0.08940381556749344,
-0.037229329347610474,
0.07464872300624847,
-0.14075492322444916,
-0.009700934402644634,
-5.430466742950557e-8,
0.006323191337287426,
-0.015523258596658707,
0.005450270604342222,
0.008231527172029018,
-0.04860827326774597,
0.06839227676391602,
-0.05851481854915619,
0.007236615754663944,
0.08139139413833618,
-0.038098469376564026,
0.1192021295428276,
0.02552899718284607,
0.05908115580677986,
-0.018691817298531532,
0.016542140394449234,
0.012203170917928219,
-0.02368706278502941,
-0.011343738995492458,
0.030439196154475212,
-0.04692670330405235,
0.023422664031386375,
0.022365130484104156,
-0.033000849187374115,
0.012531676329672337,
-0.016179192811250687,
-0.06213913857936859,
-0.08932622522115707,
0.01872771605849266,
-0.012331441044807434,
-0.05974685773253441,
-0.049467362463474274,
0.037563078105449677,
-0.07268397510051727,
0.007546369917690754,
-0.04682876169681549,
0.03387439250946045,
0.0341244600713253,
0.0506194531917572,
0.027600081637501717,
-0.023673534393310547,
0.056968577206134796,
-0.02606987953186035,
-0.01981620490550995,
-0.0724874809384346,
0.035777099430561066,
0.016416406258940697,
-0.1141621395945549,
-0.010989539325237274,
-0.10605837404727936,
-0.023898234590888023,
-0.06167852506041527,
0.09420482814311981,
0.09241540729999542,
0.12652482092380524,
-0.009409685619175434,
-0.007933126762509346,
-0.12361735105514526,
-0.01273866556584835,
-0.005448675714433193,
-0.046425942331552505,
0.025635721161961555,
0.032970428466796875,
0.000504105759318918,
-0.008180092088878155
] | null | null | null | null | null | null | null |
[
0.01953066512942314,
-0.031922806054353714,
0.05415304750204086,
0.03713136911392212,
0.07666901499032974,
0.02601873315870762,
-0.06788598746061325,
-0.054662540555000305,
0.008715189062058926,
-0.008217540569603443,
-0.046737972646951675,
-0.04964325949549675,
0.03329324349761009,
0.015940789133310318,
-0.017762232571840286,
-0.018970269709825516,
0.003016391070559621,
0.008323845453560352,
-0.0372776985168457,
0.047915246337652206,
0.02046959660947323,
0.05236348509788513,
-0.05089518427848816,
0.11290963739156723,
0.0392998531460762,
-0.0008067163289524615,
-0.1173604428768158,
-0.01716061867773533,
0.0005263738567009568,
-0.06844836473464966,
0.026420142501592636,
0.007948587648570538,
-0.1139274388551712,
-0.00639029685407877,
0.009480338543653488,
-0.09845218062400818,
0.04541511461138725,
0.11448343843221664,
-0.00817257072776556,
0.08558901399374008,
-0.01825667917728424,
-0.028378237038850784,
0.028506163507699966,
-0.011113141663372517,
0.07504173368215561,
-0.02692563086748123,
0.08281714469194412,
0.029168521985411644,
0.04618976265192032,
0.01282420288771391,
-0.03624877706170082,
0.04463200271129608,
-0.03027264028787613,
0.003515307791531086,
-0.07601845264434814,
0.0012629153206944466,
0.05829238519072533,
0.005162153858691454,
-0.04633113741874695,
-0.05324375256896019,
-0.07483502477407455,
-0.09538748115301132,
0.03552879020571709,
0.019510608166456223,
-0.12775905430316925,
-0.032027553766965866,
-0.06178424879908562,
0.06647153198719025,
0.006865716073662043,
0.041627198457717896,
0.013834381476044655,
0.07818987965583801,
-0.016177812591195107,
0.08492880314588547,
0.06187986209988594,
-0.04743576422333717,
-0.0867588147521019,
0.03626816347241402,
0.016702739521861076,
0.02027333900332451,
-0.0009655707981437445,
-0.04792205989360809,
-0.047581806778907776,
-0.015593254007399082,
-0.10821834951639175,
0.04104381054639816,
-0.02229633927345276,
-0.02648923732340336,
-0.03586404025554657,
-0.027548644691705704,
-0.05354386568069458,
0.017977170646190643,
0.03131043165922165,
-0.004125997889786959,
0.08433907479047775,
-0.02410692162811756,
0.016427215188741684,
-0.00024073735403362662,
0.10510549694299698,
0.02927383966743946,
-0.04701344668865204,
-0.04262104257941246,
0.02844468131661415,
0.06483736634254456,
0.011883297935128212,
0.06217645853757858,
0.10166671127080917,
-0.04664321616292,
-0.0025261095724999905,
0.097455695271492,
0.06753816455602646,
-0.08907438814640045,
0.011361945420503616,
0.023629391565918922,
0.07637817412614822,
-0.06720960885286331,
0.03821315988898277,
-0.052394744008779526,
-0.055754076689481735,
-0.052599020302295685,
0.01360226422548294,
-0.006972496397793293,
-0.003950781654566526,
0.0021207083482295275,
-0.01313231885433197,
-0.009637494571506977,
-0.02581610530614853,
2.496356577880998e-33,
0.04448995739221573,
-0.022960420697927475,
-0.08177720755338669,
0.06176745519042015,
-0.008200221695005894,
-0.03510615974664688,
0.06739643961191177,
0.023083152249455452,
-0.030253596603870392,
0.029210036620497704,
-0.03472760692238808,
0.02323594130575657,
-0.06569865345954895,
0.059885069727897644,
-0.0690014660358429,
-0.07050485908985138,
-0.015346051193773746,
0.011350811459124088,
0.04142360761761665,
-0.043944351375103,
0.014211315661668777,
0.019526056945323944,
-0.0823807492852211,
-0.019782032817602158,
-0.008274000138044357,
-0.010836554691195488,
0.015809498727321625,
0.0033664735965430737,
0.016146324574947357,
0.02415938675403595,
0.009367828257381916,
-0.0013134649489074945,
-0.039486367255449295,
0.027634965255856514,
0.014525535516440868,
0.008868393488228321,
-0.03581128269433975,
0.03936820104718208,
0.046678364276885986,
0.054367221891880035,
-0.07184291630983353,
0.01102293562144041,
-0.07656977325677872,
-0.0019551224540919065,
-0.07022237032651901,
-0.01621217653155327,
0.01974998041987419,
0.028889460489153862,
-0.05187442898750305,
-0.06943424791097641,
0.04334067925810814,
0.0585833378136158,
0.012348509393632412,
0.037731047719717026,
0.06394622474908829,
-0.05765235424041748,
0.08466777205467224,
-0.0007661510026082397,
-0.04600534960627556,
-0.03983481973409653,
0.0018561008619144559,
0.0527879074215889,
-0.03837037831544876,
-0.01131343562155962,
-0.011282346211373806,
0.04068846255540848,
-0.018024152144789696,
0.12616144120693207,
0.0014813124435022473,
-0.07017036527395248,
0.022256340831518173,
-0.0016359688015654683,
-0.005418321583420038,
0.03207884356379509,
0.027123497799038887,
0.04837190359830856,
-0.0011304843937978148,
0.02515307441353798,
-0.06820972263813019,
-0.011975931003689766,
-0.06701879948377609,
0.014506579376757145,
-0.04192511737346649,
0.024390749633312225,
-0.013121482916176319,
0.03158433362841606,
0.07387972623109818,
-0.02643398568034172,
-0.0473778173327446,
-0.0494261160492897,
0.014101852662861347,
0.007828093133866787,
0.16024474799633026,
0.04418826103210449,
0.001945569645613432,
-5.378806479341484e-33,
0.02023378387093544,
0.0029748452361673117,
0.012846959754824638,
0.09682604670524597,
0.011935469694435596,
0.0638122707605362,
0.04303120821714401,
0.05431288853287697,
0.05188465118408203,
-0.13488107919692993,
0.0008474255446344614,
0.021605394780635834,
-0.009917755611240864,
0.08057389408349991,
0.1566784530878067,
-0.046409543603658676,
-0.04451942443847656,
0.002312619471922517,
-0.01047482155263424,
-0.05995842069387436,
-0.024106735363602638,
-0.051989685744047165,
-0.015432305634021759,
0.027761930599808693,
0.016942152753472328,
-0.013197003863751888,
-0.051070429384708405,
-0.09238019585609436,
-0.017593590542674065,
0.031469766050577164,
-0.03850806877017021,
-0.0681324303150177,
0.003299249103292823,
0.02911132387816906,
-0.01689157634973526,
0.007736210245639086,
-0.007735919207334518,
0.014584844000637531,
-0.023721206933259964,
-0.10776948183774948,
-0.004976402502506971,
-0.040139246731996536,
0.05319257825613022,
-0.011564880609512329,
0.014670166186988354,
-0.0011707397643476725,
-0.008466006256639957,
0.008141341619193554,
-0.013156337663531303,
0.012317348271608353,
-0.03215401619672775,
-0.004083439242094755,
0.04618136212229729,
0.014275694265961647,
0.0688081756234169,
0.05816403031349182,
0.11062407493591309,
0.03966085985302925,
0.054998621344566345,
-0.04429211467504501,
-0.07249587774276733,
-0.022507237270474434,
-0.14526255428791046,
-0.005485937464982271,
-0.0021084395702928305,
-0.03435344249010086,
-0.048564422875642776,
-0.05566196143627167,
-0.0013587535358965397,
-0.0366680808365345,
0.008639718405902386,
0.019795846194028854,
0.044251907616853714,
0.07877674698829651,
0.04422212019562721,
-0.001965863397344947,
0.04681751877069473,
-0.016075734049081802,
-0.04872320964932442,
0.10160662978887558,
-0.05764954537153244,
0.05866354703903198,
-0.0166982002556324,
-0.07293630391359329,
0.009033966809511185,
-0.12085559219121933,
-0.0921550840139389,
-0.06951141357421875,
0.03029496781527996,
0.029881058260798454,
0.08940381556749344,
-0.037229329347610474,
0.07464872300624847,
-0.14075492322444916,
-0.009700934402644634,
-5.430466742950557e-8,
0.006323191337287426,
-0.015523258596658707,
0.005450270604342222,
0.008231527172029018,
-0.04860827326774597,
0.06839227676391602,
-0.05851481854915619,
0.007236615754663944,
0.08139139413833618,
-0.038098469376564026,
0.1192021295428276,
0.02552899718284607,
0.05908115580677986,
-0.018691817298531532,
0.016542140394449234,
0.012203170917928219,
-0.02368706278502941,
-0.011343738995492458,
0.030439196154475212,
-0.04692670330405235,
0.023422664031386375,
0.022365130484104156,
-0.033000849187374115,
0.012531676329672337,
-0.016179192811250687,
-0.06213913857936859,
-0.08932622522115707,
0.01872771605849266,
-0.012331441044807434,
-0.05974685773253441,
-0.049467362463474274,
0.037563078105449677,
-0.07268397510051727,
0.007546369917690754,
-0.04682876169681549,
0.03387439250946045,
0.0341244600713253,
0.0506194531917572,
0.027600081637501717,
-0.023673534393310547,
0.056968577206134796,
-0.02606987953186035,
-0.01981620490550995,
-0.0724874809384346,
0.035777099430561066,
0.016416406258940697,
-0.1141621395945549,
-0.010989539325237274,
-0.10605837404727936,
-0.023898234590888023,
-0.06167852506041527,
0.09420482814311981,
0.09241540729999542,
0.12652482092380524,
-0.009409685619175434,
-0.007933126762509346,
-0.12361735105514526,
-0.01273866556584835,
-0.005448675714433193,
-0.046425942331552505,
0.025635721161961555,
0.032970428466796875,
0.000504105759318918,
-0.008180092088878155
] |
1402.3089
|
Moshe Schwartz
|
Moshe Schwartz and Ehud Perlsman
|
Sensitivity of Yield Optimized Superoscillations
| null | null | null | null |
physics.data-an cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Super oscillating signals are band limited signals that oscillate in some
region faster than their largest Fourier component. Such signals have many
obvious scientific and technological applications, yet their practical use is
strongly limited by the fact that an overwhelming proportion of the energy goes
into that part of the signal, which is not superoscillating. In a recent
article the problem of optimization of such signals has been studied. In that
article the concept of superoscillation yield is defined as the ratio of the
energy in the super oscillations to the total energy of the signal, given the
range in time and frequency of the superoscillations, which is imposed by
forcing the signal to interpolate among a set of predetermined points. The
optimization of the superoscillation yield consists of obtaining the Fourier
coefficients of the low frequency components of which the signal consists, that
maximize the yield under the interpolation constraint. Since in practical
applications it is impossible to determine the Fourier coefficients with
infinite precision, it is necessary to answer two questions. The first is how
is the superoscillating nature of the signal affected by random small
deviations in those Fourier coefficients and the second is how is the yield
affected? These are the questions addressed in the present article. Limits on
the necessary precision are obtained. Those limits seem not to be impractical.
|
[
{
"created": "Thu, 13 Feb 2014 11:08:18 GMT",
"version": "v1"
}
] |
2014-02-18
|
[
[
"Schwartz",
"Moshe",
""
],
[
"Perlsman",
"Ehud",
""
]
] |
[
-0.06600834429264069,
0.03432263806462288,
0.0014810082502663136,
0.059771835803985596,
-0.015354366973042488,
0.06276026368141174,
-0.014289604499936104,
0.0472017303109169,
0.01310464646667242,
0.00832684151828289,
-0.0281242486089468,
0.01846408098936081,
0.008775084279477596,
-0.07785891741514206,
0.034412700682878494,
-0.06580383330583572,
0.08471842855215073,
-0.009984619915485382,
-0.0942864790558815,
-0.03133367374539375,
0.15944503247737885,
-0.06288054585456848,
-0.0654338151216507,
-0.05195445567369461,
0.06633489578962326,
-0.04211801290512085,
-0.007894277572631836,
0.004549424163997173,
0.051984839141368866,
0.04802151396870613,
0.00829382985830307,
0.08305419981479645,
0.01565486006438732,
-0.04933665320277214,
0.025180799886584282,
0.011502481997013092,
0.020768186077475548,
0.07523950189352036,
0.08809249848127365,
-0.024028336629271507,
-0.038154736161231995,
0.04965236410498619,
0.00547421770170331,
0.015996944159269333,
0.02276509627699852,
-0.009003098122775555,
0.02906768023967743,
-0.06122537702322006,
-0.12987717986106873,
-0.030930498614907265,
0.0000419401258113794,
0.03232038766145706,
-0.04511733725667,
0.03738762438297272,
-0.011126307770609856,
-0.0307912714779377,
-0.026661481708288193,
0.005061511415988207,
0.03622647002339363,
0.05936793237924576,
-0.018316730856895447,
-0.09571167826652527,
-0.000004439819349499885,
0.00013304146705195308,
0.04492342472076416,
-0.02036469615995884,
0.06768369674682617,
-0.04699009656906128,
-0.039015013724565506,
0.07806739956140518,
-0.03393502160906792,
0.047801464796066284,
-0.007365710102021694,
0.03038821369409561,
0.09713920205831528,
0.006117335986346006,
-0.09314049780368805,
-0.003025658894330263,
0.004433158785104752,
-0.0263571385294199,
0.03386965021491051,
-0.06662365049123764,
-0.007127243094146252,
-0.1157117560505867,
-0.021974807605147362,
0.04611126706004143,
0.05709422007203102,
0.0007411215337924659,
0.06663530319929123,
0.026806384325027466,
-0.04675869271159172,
-0.029553765431046486,
-0.043876614421606064,
0.016433922573924065,
-0.00394013524055481,
0.059769999235868454,
0.005831324495375156,
-0.04596477001905441,
0.05742171034216881,
-0.004869263619184494,
0.06353285908699036,
-0.0861310064792633,
0.005543378181755543,
0.04405684396624565,
0.033850084990262985,
-0.04842616617679596,
-0.007550777867436409,
0.05014431104063988,
0.0097120963037014,
0.05953672528266907,
0.01969149336218834,
0.004123129416257143,
0.0057443357072770596,
0.013989048078656197,
-0.010922322981059551,
-0.010456995107233524,
-0.006714557763189077,
0.048791319131851196,
-0.015333709307014942,
-0.0012786755105480552,
0.004130716435611248,
-0.010836687870323658,
-0.0128970080986619,
0.0901203379034996,
0.004636119585484266,
0.02498660795390606,
-0.0738997608423233,
2.862096216775998e-33,
-0.03496924415230751,
0.043259527534246445,
0.045719388872385025,
-0.10424134135246277,
0.006221655290573835,
-0.014890394173562527,
-0.031166095286607742,
0.007959472015500069,
0.0050203148275613785,
0.06933902949094772,
-0.05024920031428337,
-0.0008733170689083636,
0.020993849262595177,
-0.0013627954758703709,
0.07054177671670914,
-0.01704714633524418,
-0.014047863893210888,
0.016042198985815048,
0.05252600088715553,
-0.010737819597125053,
0.05334845185279846,
-0.032186441123485565,
0.03627211973071098,
-0.002130826935172081,
-0.019743578508496284,
-0.04093455895781517,
0.01026230026036501,
-0.020336883142590523,
-0.07796835899353027,
0.017404787242412567,
-0.054164301604032516,
-0.01362624391913414,
-0.005437587387859821,
-0.06283779442310333,
0.012840907089412212,
-0.08767567574977875,
0.06749653816223145,
0.04666801542043686,
-0.07854078710079193,
0.04962762072682381,
0.011834516189992428,
0.007756455335766077,
0.036437563598155975,
0.06798451393842697,
0.04125264286994934,
-0.07164488732814789,
0.11556875705718994,
0.08320978283882141,
-0.017708908766508102,
0.01500803790986538,
-0.058511313050985336,
-0.02009393461048603,
-0.05360114946961403,
0.08710035681724548,
0.10399750620126724,
0.052061568945646286,
0.03808422014117241,
-0.039467740803956985,
0.01832575537264347,
0.046206533908843994,
-0.03513123467564583,
-0.07019484043121338,
0.05004376545548439,
0.005331514868885279,
0.03913173824548721,
-0.014143451116979122,
-0.0006471278029493988,
-0.024278519675135612,
-0.013474784791469574,
0.019677914679050446,
0.01803608238697052,
0.04949085786938667,
0.07804182916879654,
-0.13652217388153076,
0.048000678420066833,
0.008906149305403233,
0.02003517933189869,
0.09619773179292679,
-0.088842011988163,
0.02015426754951477,
0.052757225930690765,
0.00230695609934628,
0.007250551134347916,
-0.05396725609898567,
-0.07403701543807983,
-0.024342045187950134,
-0.0019644375424832106,
-0.0673164650797844,
-0.02872324176132679,
-0.06695030629634857,
-0.09348887205123901,
0.007594033144414425,
0.028552450239658356,
-0.023992003872990608,
-0.052122026681900024,
-4.166531644965936e-33,
0.01455529872328043,
0.00817811582237482,
0.10612613707780838,
-0.022608814761042595,
0.02711687795817852,
0.05208189785480499,
-0.07014088332653046,
-0.06755232810974121,
-0.014876328408718109,
-0.06410950422286987,
-0.019800841808319092,
-0.009328453801572323,
0.08638611435890198,
-0.01413055881857872,
-0.10595505684614182,
-0.018510837107896805,
0.06900584697723389,
-0.010234387591481209,
0.10014069080352783,
-0.00985034927725792,
0.013924555853009224,
0.02305498532950878,
-0.013143627904355526,
0.008144568651914597,
0.07791697233915329,
-0.007367548532783985,
-0.019056959077715874,
0.06955588608980179,
-0.024106260389089584,
0.0380086824297905,
-0.051394324749708176,
0.02754722163081169,
-0.023476412519812584,
-0.0362468846142292,
-0.028474370017647743,
0.10582524538040161,
-0.004419052042067051,
0.03457574546337128,
-0.0028999079950153828,
0.050735197961330414,
0.024044787511229515,
0.030492661520838737,
0.0483216717839241,
-0.03496510908007622,
0.029672998934984207,
-0.05174575373530388,
-0.007196424994617701,
0.028024693951010704,
0.0027981908060610294,
0.023192794993519783,
0.06907159835100174,
-0.05815548077225685,
-0.08206085860729218,
0.05242602527141571,
-0.022923579439520836,
0.047339726239442825,
-0.13274097442626953,
0.011661459691822529,
0.04457695782184601,
-0.01745675690472126,
0.0066113099455833435,
-0.047172632068395615,
-0.05660316348075867,
0.009037191979587078,
0.04982663318514824,
0.011375870555639267,
-0.11607588827610016,
-0.05867243930697441,
0.044627998024225235,
0.012106784619390965,
-0.036031756550073624,
-0.029407447203993797,
-0.009634130634367466,
0.0386345311999321,
-0.03962303325533867,
0.016884181648492813,
0.04537161439657211,
-0.1201355829834938,
-0.10257283598184586,
0.004882010165601969,
-0.06692474335432053,
0.08578012138605118,
-0.05720430985093117,
-0.004393674898892641,
-0.05496784299612045,
0.019239988178014755,
-0.0203124787658453,
-0.009905434213578701,
0.04666510596871376,
-0.09937825798988342,
-0.03965342417359352,
0.0884195938706398,
-0.041965361684560776,
-0.0012158459285274148,
0.029824618250131607,
-5.0567624754194185e-8,
-0.038781870156526566,
-0.027078375220298767,
-0.07829593122005463,
0.014420445077121258,
0.14753668010234833,
-0.02896970324218273,
-0.0211279708892107,
-0.12304176390171051,
0.048664867877960205,
-0.1230325922369957,
0.06740869581699371,
-0.055530283600091934,
-0.061255551874637604,
0.013015489093959332,
0.02656335011124611,
-0.03248332440853119,
-0.08351077884435654,
0.002172691747546196,
0.035415567457675934,
-0.06912811845541,
0.007090100087225437,
0.013013441115617752,
0.044112056493759155,
-0.07956311106681824,
0.038402970880270004,
-0.056610897183418274,
0.06718899309635162,
-0.03954049199819565,
-0.04632241278886795,
0.08513147383928299,
-0.13707049190998077,
-0.06957395374774933,
0.002558241132646799,
0.02159511111676693,
0.038294240832328796,
-0.017876075580716133,
-0.07215800136327744,
0.04621221125125885,
-0.013503036461770535,
0.0702214241027832,
0.0749816745519638,
0.06551606953144073,
-0.06285618245601654,
0.043631989508867264,
-0.018612438812851906,
-0.005124598275870085,
0.0634259432554245,
-0.0017234799452126026,
0.06512945145368576,
0.04875537380576134,
-0.06637595593929291,
0.024445565417408943,
-0.020496545359492302,
-0.07988261431455612,
-0.012773455120623112,
0.016847161576151848,
-0.029573965817689896,
-0.02081253007054329,
-0.05587653070688248,
0.0479251854121685,
-0.009029454551637173,
0.10137562453746796,
-0.04598516970872879,
-0.011403425596654415
] | null | null | null | null | null | null | null |
[
-0.06600834429264069,
0.03432263806462288,
0.0014810082502663136,
0.059771835803985596,
-0.015354366973042488,
0.06276026368141174,
-0.014289604499936104,
0.0472017303109169,
0.01310464646667242,
0.00832684151828289,
-0.0281242486089468,
0.01846408098936081,
0.008775084279477596,
-0.07785891741514206,
0.034412700682878494,
-0.06580383330583572,
0.08471842855215073,
-0.009984619915485382,
-0.0942864790558815,
-0.03133367374539375,
0.15944503247737885,
-0.06288054585456848,
-0.0654338151216507,
-0.05195445567369461,
0.06633489578962326,
-0.04211801290512085,
-0.007894277572631836,
0.004549424163997173,
0.051984839141368866,
0.04802151396870613,
0.00829382985830307,
0.08305419981479645,
0.01565486006438732,
-0.04933665320277214,
0.025180799886584282,
0.011502481997013092,
0.020768186077475548,
0.07523950189352036,
0.08809249848127365,
-0.024028336629271507,
-0.038154736161231995,
0.04965236410498619,
0.00547421770170331,
0.015996944159269333,
0.02276509627699852,
-0.009003098122775555,
0.02906768023967743,
-0.06122537702322006,
-0.12987717986106873,
-0.030930498614907265,
0.0000419401258113794,
0.03232038766145706,
-0.04511733725667,
0.03738762438297272,
-0.011126307770609856,
-0.0307912714779377,
-0.026661481708288193,
0.005061511415988207,
0.03622647002339363,
0.05936793237924576,
-0.018316730856895447,
-0.09571167826652527,
-0.000004439819349499885,
0.00013304146705195308,
0.04492342472076416,
-0.02036469615995884,
0.06768369674682617,
-0.04699009656906128,
-0.039015013724565506,
0.07806739956140518,
-0.03393502160906792,
0.047801464796066284,
-0.007365710102021694,
0.03038821369409561,
0.09713920205831528,
0.006117335986346006,
-0.09314049780368805,
-0.003025658894330263,
0.004433158785104752,
-0.0263571385294199,
0.03386965021491051,
-0.06662365049123764,
-0.007127243094146252,
-0.1157117560505867,
-0.021974807605147362,
0.04611126706004143,
0.05709422007203102,
0.0007411215337924659,
0.06663530319929123,
0.026806384325027466,
-0.04675869271159172,
-0.029553765431046486,
-0.043876614421606064,
0.016433922573924065,
-0.00394013524055481,
0.059769999235868454,
0.005831324495375156,
-0.04596477001905441,
0.05742171034216881,
-0.004869263619184494,
0.06353285908699036,
-0.0861310064792633,
0.005543378181755543,
0.04405684396624565,
0.033850084990262985,
-0.04842616617679596,
-0.007550777867436409,
0.05014431104063988,
0.0097120963037014,
0.05953672528266907,
0.01969149336218834,
0.004123129416257143,
0.0057443357072770596,
0.013989048078656197,
-0.010922322981059551,
-0.010456995107233524,
-0.006714557763189077,
0.048791319131851196,
-0.015333709307014942,
-0.0012786755105480552,
0.004130716435611248,
-0.010836687870323658,
-0.0128970080986619,
0.0901203379034996,
0.004636119585484266,
0.02498660795390606,
-0.0738997608423233,
2.862096216775998e-33,
-0.03496924415230751,
0.043259527534246445,
0.045719388872385025,
-0.10424134135246277,
0.006221655290573835,
-0.014890394173562527,
-0.031166095286607742,
0.007959472015500069,
0.0050203148275613785,
0.06933902949094772,
-0.05024920031428337,
-0.0008733170689083636,
0.020993849262595177,
-0.0013627954758703709,
0.07054177671670914,
-0.01704714633524418,
-0.014047863893210888,
0.016042198985815048,
0.05252600088715553,
-0.010737819597125053,
0.05334845185279846,
-0.032186441123485565,
0.03627211973071098,
-0.002130826935172081,
-0.019743578508496284,
-0.04093455895781517,
0.01026230026036501,
-0.020336883142590523,
-0.07796835899353027,
0.017404787242412567,
-0.054164301604032516,
-0.01362624391913414,
-0.005437587387859821,
-0.06283779442310333,
0.012840907089412212,
-0.08767567574977875,
0.06749653816223145,
0.04666801542043686,
-0.07854078710079193,
0.04962762072682381,
0.011834516189992428,
0.007756455335766077,
0.036437563598155975,
0.06798451393842697,
0.04125264286994934,
-0.07164488732814789,
0.11556875705718994,
0.08320978283882141,
-0.017708908766508102,
0.01500803790986538,
-0.058511313050985336,
-0.02009393461048603,
-0.05360114946961403,
0.08710035681724548,
0.10399750620126724,
0.052061568945646286,
0.03808422014117241,
-0.039467740803956985,
0.01832575537264347,
0.046206533908843994,
-0.03513123467564583,
-0.07019484043121338,
0.05004376545548439,
0.005331514868885279,
0.03913173824548721,
-0.014143451116979122,
-0.0006471278029493988,
-0.024278519675135612,
-0.013474784791469574,
0.019677914679050446,
0.01803608238697052,
0.04949085786938667,
0.07804182916879654,
-0.13652217388153076,
0.048000678420066833,
0.008906149305403233,
0.02003517933189869,
0.09619773179292679,
-0.088842011988163,
0.02015426754951477,
0.052757225930690765,
0.00230695609934628,
0.007250551134347916,
-0.05396725609898567,
-0.07403701543807983,
-0.024342045187950134,
-0.0019644375424832106,
-0.0673164650797844,
-0.02872324176132679,
-0.06695030629634857,
-0.09348887205123901,
0.007594033144414425,
0.028552450239658356,
-0.023992003872990608,
-0.052122026681900024,
-4.166531644965936e-33,
0.01455529872328043,
0.00817811582237482,
0.10612613707780838,
-0.022608814761042595,
0.02711687795817852,
0.05208189785480499,
-0.07014088332653046,
-0.06755232810974121,
-0.014876328408718109,
-0.06410950422286987,
-0.019800841808319092,
-0.009328453801572323,
0.08638611435890198,
-0.01413055881857872,
-0.10595505684614182,
-0.018510837107896805,
0.06900584697723389,
-0.010234387591481209,
0.10014069080352783,
-0.00985034927725792,
0.013924555853009224,
0.02305498532950878,
-0.013143627904355526,
0.008144568651914597,
0.07791697233915329,
-0.007367548532783985,
-0.019056959077715874,
0.06955588608980179,
-0.024106260389089584,
0.0380086824297905,
-0.051394324749708176,
0.02754722163081169,
-0.023476412519812584,
-0.0362468846142292,
-0.028474370017647743,
0.10582524538040161,
-0.004419052042067051,
0.03457574546337128,
-0.0028999079950153828,
0.050735197961330414,
0.024044787511229515,
0.030492661520838737,
0.0483216717839241,
-0.03496510908007622,
0.029672998934984207,
-0.05174575373530388,
-0.007196424994617701,
0.028024693951010704,
0.0027981908060610294,
0.023192794993519783,
0.06907159835100174,
-0.05815548077225685,
-0.08206085860729218,
0.05242602527141571,
-0.022923579439520836,
0.047339726239442825,
-0.13274097442626953,
0.011661459691822529,
0.04457695782184601,
-0.01745675690472126,
0.0066113099455833435,
-0.047172632068395615,
-0.05660316348075867,
0.009037191979587078,
0.04982663318514824,
0.011375870555639267,
-0.11607588827610016,
-0.05867243930697441,
0.044627998024225235,
0.012106784619390965,
-0.036031756550073624,
-0.029407447203993797,
-0.009634130634367466,
0.0386345311999321,
-0.03962303325533867,
0.016884181648492813,
0.04537161439657211,
-0.1201355829834938,
-0.10257283598184586,
0.004882010165601969,
-0.06692474335432053,
0.08578012138605118,
-0.05720430985093117,
-0.004393674898892641,
-0.05496784299612045,
0.019239988178014755,
-0.0203124787658453,
-0.009905434213578701,
0.04666510596871376,
-0.09937825798988342,
-0.03965342417359352,
0.0884195938706398,
-0.041965361684560776,
-0.0012158459285274148,
0.029824618250131607,
-5.0567624754194185e-8,
-0.038781870156526566,
-0.027078375220298767,
-0.07829593122005463,
0.014420445077121258,
0.14753668010234833,
-0.02896970324218273,
-0.0211279708892107,
-0.12304176390171051,
0.048664867877960205,
-0.1230325922369957,
0.06740869581699371,
-0.055530283600091934,
-0.061255551874637604,
0.013015489093959332,
0.02656335011124611,
-0.03248332440853119,
-0.08351077884435654,
0.002172691747546196,
0.035415567457675934,
-0.06912811845541,
0.007090100087225437,
0.013013441115617752,
0.044112056493759155,
-0.07956311106681824,
0.038402970880270004,
-0.056610897183418274,
0.06718899309635162,
-0.03954049199819565,
-0.04632241278886795,
0.08513147383928299,
-0.13707049190998077,
-0.06957395374774933,
0.002558241132646799,
0.02159511111676693,
0.038294240832328796,
-0.017876075580716133,
-0.07215800136327744,
0.04621221125125885,
-0.013503036461770535,
0.0702214241027832,
0.0749816745519638,
0.06551606953144073,
-0.06285618245601654,
0.043631989508867264,
-0.018612438812851906,
-0.005124598275870085,
0.0634259432554245,
-0.0017234799452126026,
0.06512945145368576,
0.04875537380576134,
-0.06637595593929291,
0.024445565417408943,
-0.020496545359492302,
-0.07988261431455612,
-0.012773455120623112,
0.016847161576151848,
-0.029573965817689896,
-0.02081253007054329,
-0.05587653070688248,
0.0479251854121685,
-0.009029454551637173,
0.10137562453746796,
-0.04598516970872879,
-0.011403425596654415
] |
1402.3091
|
Jeffrey Shallit
|
Christopher Drexler-Lemire and Jeffrey Shallit
|
Notes and Note-Pairs in Noergaard's Infinity Series
| null | null | null | null |
math.CO cs.DM
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Danish composer Per Noergaard defined the "infinity series" s =
(s(n))_n>=0 by the rules s(0) = 0, s(2n) = -s(n) for n >= 1, and s(2n + 1) =
s(n) + 1 for n >= 0; it figures prominently in many of his compositions. Here
we give several new results about this sequence: first, the set of binary
representations of the positions of each note forms a context-free language
that is not regular; second, a complete characterization of exactly which
note-pairs appear; third, that consecutive occurrences of identical phrases are
widely separated. We also consider to what extent the infinity series is
unique.
|
[
{
"created": "Thu, 13 Feb 2014 11:21:10 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Drexler-Lemire",
"Christopher",
""
],
[
"Shallit",
"Jeffrey",
""
]
] |
[
-0.10458159446716309,
0.04553671553730965,
0.03297339752316475,
-0.004496350884437561,
-0.038423921912908554,
0.09012062847614288,
-0.014710080809891224,
-0.0474926233291626,
0.1784432828426361,
-0.027458732947707176,
-0.015297223813831806,
-0.0016144455876201391,
0.06800064444541931,
-0.019838884472846985,
-0.07327106595039368,
-0.02518424391746521,
-0.024708466604351997,
-0.008448793552815914,
0.09829236567020416,
0.0337284691631794,
0.07296477258205414,
0.0692211240530014,
-0.05930145084857941,
-0.012451817281544209,
0.07540067285299301,
0.025733035057783127,
-0.026177333667874336,
-0.025759410113096237,
0.10576514899730682,
0.038125015795230865,
0.02010706439614296,
0.05119989812374115,
0.0678970143198967,
-0.01772521436214447,
0.053583186119794846,
0.038365863263607025,
0.0013575971825048327,
0.05246523767709732,
-0.014945420436561108,
0.06085696816444397,
-0.05292939022183418,
0.06000367924571037,
-0.05662064999341965,
0.005262590944766998,
-0.011955923400819302,
0.012034447863698006,
-0.06958361715078354,
0.025614287704229355,
-0.09315530955791473,
-0.00030036878888495266,
-0.08061953634023666,
0.02904084138572216,
-0.06044939160346985,
-0.013026765547692776,
0.03690910339355469,
-0.012553905136883259,
-0.10906802117824554,
0.04719514772295952,
-0.06433486193418503,
-0.08201993256807327,
0.026139255613088608,
-0.042169541120529175,
-0.025092389434576035,
-0.019505063071846962,
0.05553894117474556,
0.005860120989382267,
-0.011853470467031002,
0.023234831169247627,
-0.07138021290302277,
0.10494790971279144,
-0.055145200341939926,
0.09231296181678772,
0.031444866210222244,
0.07599981129169464,
0.020177852362394333,
0.029102761298418045,
-0.076057568192482,
-0.017329927533864975,
-0.03834306448698044,
-0.038103532046079636,
-0.0271634291857481,
-0.019578805193305016,
0.002075300319120288,
-0.04920201748609543,
-0.010120965540409088,
0.04064112901687622,
0.004477315116673708,
0.027672821655869484,
0.05239417403936386,
0.011131934821605682,
-0.040102165192365646,
-0.10933993011713028,
0.05170227587223053,
0.010016911663115025,
-0.0032264755573123693,
0.02306411974132061,
-0.014703331515192986,
0.13903647661209106,
0.043588701635599136,
0.02446850575506687,
0.12735916674137115,
0.05001019686460495,
0.10239259898662567,
-0.02385028451681137,
0.03766950964927673,
-0.04103975370526314,
-0.05346169322729111,
-0.04824237897992134,
0.04898405075073242,
-0.07979026436805725,
0.017254026606678963,
-0.08066074550151825,
0.031044358387589455,
-0.029983779415488243,
-0.010672197677195072,
-0.07747356593608856,
0.04287157207727432,
-0.051193926483392715,
0.051383644342422485,
0.11794181913137436,
0.09781774878501892,
-0.007060359697788954,
0.010967625305056572,
0.10092417150735855,
-0.041002847254276276,
0.05308077111840248,
0.013725420460104942,
2.5265517216757607e-33,
-0.03948366641998291,
0.018009327352046967,
0.021201394498348236,
0.02183663472533226,
0.04862349480390549,
-0.037564683705568314,
-0.03998534753918648,
0.017975158989429474,
-0.02037058211863041,
0.04104764387011528,
-0.03792216628789902,
0.07746414840221405,
0.07094595581293106,
0.07828839868307114,
-0.013308914378285408,
0.0025396659038960934,
0.09607522189617157,
-0.022206813097000122,
0.08083121478557587,
-0.09370936453342438,
0.02293991670012474,
0.05103088915348053,
0.008576500229537487,
0.0162713173776865,
0.01005515642464161,
0.018968969583511353,
0.10750605165958405,
-0.10846396535634995,
-0.011229454539716244,
-0.02363569661974907,
-0.07837169617414474,
-0.027367660775780678,
-0.006680159829556942,
-0.040416985750198364,
0.0215003564953804,
0.003404831513762474,
-0.0013320151483640075,
-0.010423893108963966,
0.005719808861613274,
-0.004656463395804167,
-0.034711357206106186,
-0.01495157741010189,
-0.029985444620251656,
-0.04315607249736786,
0.03744636848568916,
-0.014510616660118103,
-0.03221654146909714,
0.09943155944347382,
0.014941718429327011,
-0.021718818694353104,
0.018327347934246063,
0.01112301554530859,
-0.06195701286196709,
0.03417615219950676,
0.02495424449443817,
0.027807408943772316,
0.006925451569259167,
0.06915383785963058,
-0.05282421410083771,
0.0330449678003788,
-0.020183628425002098,
0.03526611626148224,
0.0478181354701519,
0.010656950064003468,
0.014416344463825226,
-0.01674751564860344,
-0.06892421841621399,
0.022463306784629822,
0.04887959361076355,
0.007996778003871441,
-0.04428664594888687,
0.000980363111011684,
-0.027448337525129318,
0.012344447895884514,
-0.003325859783217311,
-0.06257423758506775,
-0.03617199510335922,
-0.09582576155662537,
-0.04796721041202545,
0.06907138228416443,
-0.08465170860290527,
0.032039765268564224,
0.04685693979263306,
-0.02731550671160221,
-0.10247674584388733,
-0.008331474848091602,
0.025423692539334297,
-0.01825452595949173,
-0.052061617374420166,
-0.07813027501106262,
0.03156572952866554,
-0.022058669477701187,
0.021818293258547783,
-0.08465635031461716,
-0.06673062592744827,
-4.7841128670009496e-33,
-0.08845578879117966,
-0.03357057645916939,
-0.018344644457101822,
0.019305814057588577,
-0.006903836969286203,
0.03750200197100639,
-0.049653999507427216,
0.11341958492994308,
-0.0009129780228249729,
-0.03741041198372841,
0.054146695882081985,
-0.01169557310640812,
0.08048976957798004,
-0.014181687496602535,
-0.006338863167911768,
-0.09122034907341003,
-0.00836410652846098,
0.10147730261087418,
0.02312415838241577,
0.025674497708678246,
0.02153247967362404,
-0.008118001744151115,
-0.003624295350164175,
0.02380630560219288,
-0.05371595174074173,
0.03833171725273132,
0.030461711809039116,
0.0005399004439823329,
-0.0314294807612896,
0.08797205239534378,
0.060792602598667145,
-0.04299814999103546,
-0.009651018306612968,
-0.08241530507802963,
-0.007545312866568565,
-0.03721943870186806,
-0.003497779369354248,
0.052690017968416214,
-0.05820898711681366,
-0.0019974696915596724,
0.029625872150063515,
-0.042378801852464676,
0.08376185595989227,
0.031387683004140854,
0.02360476925969124,
-0.1115659773349762,
-0.09006652981042862,
0.023269403725862503,
-0.04659733921289444,
-0.00593786733224988,
-0.07333499193191528,
-0.004537480883300304,
-0.04215262830257416,
-0.009954754263162613,
-0.007423414848744869,
-0.011931587010622025,
-0.03489436209201813,
-0.006974340882152319,
0.003112340345978737,
-0.018252113834023476,
0.010690518654882908,
0.03917717561125755,
-0.013270949013531208,
0.0012307802680879831,
0.07979656010866165,
-0.031079543754458427,
-0.10314605385065079,
-0.02436014823615551,
-0.0223756842315197,
-0.02152579091489315,
0.01297992654144764,
0.0018966782372444868,
-0.13588577508926392,
-0.011105742305517197,
-0.031147705391049385,
0.0003492874966468662,
0.037198834121227264,
-0.05019934102892876,
-0.06002595275640488,
-0.0698922723531723,
-0.07966221123933792,
-0.04837323725223541,
0.005582435056567192,
0.03264612331986427,
-0.015926267951726913,
-0.01576337218284607,
0.05823022872209549,
0.001940166694112122,
0.02057991363108158,
0.03449792414903641,
0.06670912355184555,
0.005074378568679094,
-0.008407248184084892,
-0.03862518072128296,
0.024182956665754318,
-4.999410307959806e-8,
-0.07133151590824127,
0.00019864852947648615,
-0.06903282552957535,
-0.03548693284392357,
0.010541973635554314,
-0.02649065852165222,
0.011949881911277771,
-0.05841832607984543,
-0.09440518915653229,
0.0029437371995300055,
0.11285420507192612,
0.03514961525797844,
-0.10658109188079834,
-0.012585895135998726,
0.03720397874712944,
0.06097451224923134,
0.039645105600357056,
0.026898637413978577,
-0.0379849448800087,
-0.0017922712722793221,
0.021479329094290733,
0.10578709840774536,
0.005137315485626459,
-0.1014196127653122,
-0.061303798109292984,
0.04389156773686409,
-0.049321532249450684,
0.024384601041674614,
-0.001058021793141961,
-0.07466572523117065,
0.06713353097438812,
0.09185760468244553,
0.0044469526037573814,
-0.013022175058722496,
-0.08988639712333679,
0.04557473585009575,
-0.0295748058706522,
0.09125925600528717,
-0.01987650990486145,
0.0014718299498781562,
-0.05319725349545479,
0.038776468485593796,
-0.045448463410139084,
0.04262753576040268,
0.011820564977824688,
-0.1268843710422516,
-0.004372724331915379,
-0.001926736207678914,
-0.01500496082007885,
-0.005218360107392073,
-0.07368028163909912,
0.03695830702781677,
-0.004932229872792959,
-0.06423552334308624,
0.07055007666349411,
0.01797480694949627,
-0.029734797775745392,
0.03605563938617706,
-0.026041338220238686,
0.04951994866132736,
0.050705280154943466,
0.019480453804135323,
0.03714262321591377,
-0.007995334453880787
] | null | null | null | null | null | null | null |
[
-0.10458159446716309,
0.04553671553730965,
0.03297339752316475,
-0.004496350884437561,
-0.038423921912908554,
0.09012062847614288,
-0.014710080809891224,
-0.0474926233291626,
0.1784432828426361,
-0.027458732947707176,
-0.015297223813831806,
-0.0016144455876201391,
0.06800064444541931,
-0.019838884472846985,
-0.07327106595039368,
-0.02518424391746521,
-0.024708466604351997,
-0.008448793552815914,
0.09829236567020416,
0.0337284691631794,
0.07296477258205414,
0.0692211240530014,
-0.05930145084857941,
-0.012451817281544209,
0.07540067285299301,
0.025733035057783127,
-0.026177333667874336,
-0.025759410113096237,
0.10576514899730682,
0.038125015795230865,
0.02010706439614296,
0.05119989812374115,
0.0678970143198967,
-0.01772521436214447,
0.053583186119794846,
0.038365863263607025,
0.0013575971825048327,
0.05246523767709732,
-0.014945420436561108,
0.06085696816444397,
-0.05292939022183418,
0.06000367924571037,
-0.05662064999341965,
0.005262590944766998,
-0.011955923400819302,
0.012034447863698006,
-0.06958361715078354,
0.025614287704229355,
-0.09315530955791473,
-0.00030036878888495266,
-0.08061953634023666,
0.02904084138572216,
-0.06044939160346985,
-0.013026765547692776,
0.03690910339355469,
-0.012553905136883259,
-0.10906802117824554,
0.04719514772295952,
-0.06433486193418503,
-0.08201993256807327,
0.026139255613088608,
-0.042169541120529175,
-0.025092389434576035,
-0.019505063071846962,
0.05553894117474556,
0.005860120989382267,
-0.011853470467031002,
0.023234831169247627,
-0.07138021290302277,
0.10494790971279144,
-0.055145200341939926,
0.09231296181678772,
0.031444866210222244,
0.07599981129169464,
0.020177852362394333,
0.029102761298418045,
-0.076057568192482,
-0.017329927533864975,
-0.03834306448698044,
-0.038103532046079636,
-0.0271634291857481,
-0.019578805193305016,
0.002075300319120288,
-0.04920201748609543,
-0.010120965540409088,
0.04064112901687622,
0.004477315116673708,
0.027672821655869484,
0.05239417403936386,
0.011131934821605682,
-0.040102165192365646,
-0.10933993011713028,
0.05170227587223053,
0.010016911663115025,
-0.0032264755573123693,
0.02306411974132061,
-0.014703331515192986,
0.13903647661209106,
0.043588701635599136,
0.02446850575506687,
0.12735916674137115,
0.05001019686460495,
0.10239259898662567,
-0.02385028451681137,
0.03766950964927673,
-0.04103975370526314,
-0.05346169322729111,
-0.04824237897992134,
0.04898405075073242,
-0.07979026436805725,
0.017254026606678963,
-0.08066074550151825,
0.031044358387589455,
-0.029983779415488243,
-0.010672197677195072,
-0.07747356593608856,
0.04287157207727432,
-0.051193926483392715,
0.051383644342422485,
0.11794181913137436,
0.09781774878501892,
-0.007060359697788954,
0.010967625305056572,
0.10092417150735855,
-0.041002847254276276,
0.05308077111840248,
0.013725420460104942,
2.5265517216757607e-33,
-0.03948366641998291,
0.018009327352046967,
0.021201394498348236,
0.02183663472533226,
0.04862349480390549,
-0.037564683705568314,
-0.03998534753918648,
0.017975158989429474,
-0.02037058211863041,
0.04104764387011528,
-0.03792216628789902,
0.07746414840221405,
0.07094595581293106,
0.07828839868307114,
-0.013308914378285408,
0.0025396659038960934,
0.09607522189617157,
-0.022206813097000122,
0.08083121478557587,
-0.09370936453342438,
0.02293991670012474,
0.05103088915348053,
0.008576500229537487,
0.0162713173776865,
0.01005515642464161,
0.018968969583511353,
0.10750605165958405,
-0.10846396535634995,
-0.011229454539716244,
-0.02363569661974907,
-0.07837169617414474,
-0.027367660775780678,
-0.006680159829556942,
-0.040416985750198364,
0.0215003564953804,
0.003404831513762474,
-0.0013320151483640075,
-0.010423893108963966,
0.005719808861613274,
-0.004656463395804167,
-0.034711357206106186,
-0.01495157741010189,
-0.029985444620251656,
-0.04315607249736786,
0.03744636848568916,
-0.014510616660118103,
-0.03221654146909714,
0.09943155944347382,
0.014941718429327011,
-0.021718818694353104,
0.018327347934246063,
0.01112301554530859,
-0.06195701286196709,
0.03417615219950676,
0.02495424449443817,
0.027807408943772316,
0.006925451569259167,
0.06915383785963058,
-0.05282421410083771,
0.0330449678003788,
-0.020183628425002098,
0.03526611626148224,
0.0478181354701519,
0.010656950064003468,
0.014416344463825226,
-0.01674751564860344,
-0.06892421841621399,
0.022463306784629822,
0.04887959361076355,
0.007996778003871441,
-0.04428664594888687,
0.000980363111011684,
-0.027448337525129318,
0.012344447895884514,
-0.003325859783217311,
-0.06257423758506775,
-0.03617199510335922,
-0.09582576155662537,
-0.04796721041202545,
0.06907138228416443,
-0.08465170860290527,
0.032039765268564224,
0.04685693979263306,
-0.02731550671160221,
-0.10247674584388733,
-0.008331474848091602,
0.025423692539334297,
-0.01825452595949173,
-0.052061617374420166,
-0.07813027501106262,
0.03156572952866554,
-0.022058669477701187,
0.021818293258547783,
-0.08465635031461716,
-0.06673062592744827,
-4.7841128670009496e-33,
-0.08845578879117966,
-0.03357057645916939,
-0.018344644457101822,
0.019305814057588577,
-0.006903836969286203,
0.03750200197100639,
-0.049653999507427216,
0.11341958492994308,
-0.0009129780228249729,
-0.03741041198372841,
0.054146695882081985,
-0.01169557310640812,
0.08048976957798004,
-0.014181687496602535,
-0.006338863167911768,
-0.09122034907341003,
-0.00836410652846098,
0.10147730261087418,
0.02312415838241577,
0.025674497708678246,
0.02153247967362404,
-0.008118001744151115,
-0.003624295350164175,
0.02380630560219288,
-0.05371595174074173,
0.03833171725273132,
0.030461711809039116,
0.0005399004439823329,
-0.0314294807612896,
0.08797205239534378,
0.060792602598667145,
-0.04299814999103546,
-0.009651018306612968,
-0.08241530507802963,
-0.007545312866568565,
-0.03721943870186806,
-0.003497779369354248,
0.052690017968416214,
-0.05820898711681366,
-0.0019974696915596724,
0.029625872150063515,
-0.042378801852464676,
0.08376185595989227,
0.031387683004140854,
0.02360476925969124,
-0.1115659773349762,
-0.09006652981042862,
0.023269403725862503,
-0.04659733921289444,
-0.00593786733224988,
-0.07333499193191528,
-0.004537480883300304,
-0.04215262830257416,
-0.009954754263162613,
-0.007423414848744869,
-0.011931587010622025,
-0.03489436209201813,
-0.006974340882152319,
0.003112340345978737,
-0.018252113834023476,
0.010690518654882908,
0.03917717561125755,
-0.013270949013531208,
0.0012307802680879831,
0.07979656010866165,
-0.031079543754458427,
-0.10314605385065079,
-0.02436014823615551,
-0.0223756842315197,
-0.02152579091489315,
0.01297992654144764,
0.0018966782372444868,
-0.13588577508926392,
-0.011105742305517197,
-0.031147705391049385,
0.0003492874966468662,
0.037198834121227264,
-0.05019934102892876,
-0.06002595275640488,
-0.0698922723531723,
-0.07966221123933792,
-0.04837323725223541,
0.005582435056567192,
0.03264612331986427,
-0.015926267951726913,
-0.01576337218284607,
0.05823022872209549,
0.001940166694112122,
0.02057991363108158,
0.03449792414903641,
0.06670912355184555,
0.005074378568679094,
-0.008407248184084892,
-0.03862518072128296,
0.024182956665754318,
-4.999410307959806e-8,
-0.07133151590824127,
0.00019864852947648615,
-0.06903282552957535,
-0.03548693284392357,
0.010541973635554314,
-0.02649065852165222,
0.011949881911277771,
-0.05841832607984543,
-0.09440518915653229,
0.0029437371995300055,
0.11285420507192612,
0.03514961525797844,
-0.10658109188079834,
-0.012585895135998726,
0.03720397874712944,
0.06097451224923134,
0.039645105600357056,
0.026898637413978577,
-0.0379849448800087,
-0.0017922712722793221,
0.021479329094290733,
0.10578709840774536,
0.005137315485626459,
-0.1014196127653122,
-0.061303798109292984,
0.04389156773686409,
-0.049321532249450684,
0.024384601041674614,
-0.001058021793141961,
-0.07466572523117065,
0.06713353097438812,
0.09185760468244553,
0.0044469526037573814,
-0.013022175058722496,
-0.08988639712333679,
0.04557473585009575,
-0.0295748058706522,
0.09125925600528717,
-0.01987650990486145,
0.0014718299498781562,
-0.05319725349545479,
0.038776468485593796,
-0.045448463410139084,
0.04262753576040268,
0.011820564977824688,
-0.1268843710422516,
-0.004372724331915379,
-0.001926736207678914,
-0.01500496082007885,
-0.005218360107392073,
-0.07368028163909912,
0.03695830702781677,
-0.004932229872792959,
-0.06423552334308624,
0.07055007666349411,
0.01797480694949627,
-0.029734797775745392,
0.03605563938617706,
-0.026041338220238686,
0.04951994866132736,
0.050705280154943466,
0.019480453804135323,
0.03714262321591377,
-0.007995334453880787
] |
1402.3092
|
Ivan Vartaniants
|
A. Singer, U. Lorenz, A. Marras, A. Klyuev, J. Becker, K. Schlage, P.
Skopintsev, O. Gorobtsov, A. Shabalin, H.-C. Wille, H. Franz, H. Graafsma,
and I. A. Vartanyants
|
Intensity interferometry of single x-ray pulses from a synchrotron
storage ring
|
16 pages, 6 figures, 42 references
|
Phys. Rev. Lett. 113, 064801, /1-4 (2014)
|
10.1103/PhysRevLett.113.064801
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report on measurements of second-order intensity correlations at the high
brilliance storage ring PETRA III using a prototype of the newly developed
Adaptive Gain Integrating Pixel Detector (AGIPD). The detector recorded
individual synchrotron radiation pulses with an x-ray photon energy of 14.4 keV
and repetition rate of about 5 MHz. The second-order intensity correlation
function was measured simultaneously at different spatial separations that
allowed to determine the transverse coherence length at these x-ray energies.
The measured values are in a good agreement with theoretical simulations based
on the Gaussian Schell-model.
|
[
{
"created": "Thu, 13 Feb 2014 11:28:43 GMT",
"version": "v1"
}
] |
2014-11-06
|
[
[
"Singer",
"A.",
""
],
[
"Lorenz",
"U.",
""
],
[
"Marras",
"A.",
""
],
[
"Klyuev",
"A.",
""
],
[
"Becker",
"J.",
""
],
[
"Schlage",
"K.",
""
],
[
"Skopintsev",
"P.",
""
],
[
"Gorobtsov",
"O.",
""
],
[
"Shabalin",
"A.",
""
],
[
"Wille",
"H. -C.",
""
],
[
"Franz",
"H.",
""
],
[
"Graafsma",
"H.",
""
],
[
"Vartanyants",
"I. A.",
""
]
] |
[
0.0018171720439568162,
-0.04214218631386757,
-0.07389260828495026,
0.04878450557589531,
-0.014374720863997936,
-0.13904744386672974,
0.014416045509278774,
-0.06044386699795723,
-0.014378469437360764,
-0.06831914931535721,
0.05516200512647629,
0.039241891354322433,
0.08561515808105469,
-0.03162962198257446,
-0.0284490417689085,
0.014132216572761536,
0.05042706057429314,
0.04193210229277611,
-0.02850012481212616,
-0.02785729244351387,
-0.034620851278305054,
-0.0600661039352417,
-0.006905784830451012,
-0.006664333399385214,
0.06416693329811096,
0.024519477039575577,
-0.044000204652547836,
-0.016743410378694534,
0.013075386174023151,
-0.024717675521969795,
0.06479952484369278,
-0.020582076162099838,
0.04357273504137993,
0.028455065563321114,
0.014288278296589851,
0.0008136770920827985,
0.0894680917263031,
0.009550423361361027,
0.008934162557125092,
-0.016976037994027138,
0.03913220763206482,
-0.004038440529257059,
0.025398897007107735,
-0.07450682669878006,
0.00911830272525549,
0.02599349059164524,
0.009424391202628613,
-0.11543609946966171,
-0.08405895531177521,
-0.08776436746120453,
0.09796005487442017,
0.04717879369854927,
-0.035788558423519135,
0.00515612680464983,
0.057338129729032516,
0.14095820486545563,
0.01089830044656992,
-0.02359825000166893,
-0.02149072475731373,
0.050988517701625824,
0.03172753378748894,
0.00944217387586832,
-0.006297912448644638,
-0.004314483143389225,
0.054634373635053635,
-0.0484117791056633,
0.0060071260668337345,
0.007034160662442446,
-0.03458281233906746,
-0.017030896618962288,
-0.05726434290409088,
0.07580190896987915,
-0.009005317464470863,
-0.1129860132932663,
-0.026935504749417305,
0.058483559638261795,
0.010145115666091442,
0.008862419985234737,
0.036359693855047226,
-0.04239453375339508,
-0.031826384365558624,
-0.006688174791634083,
0.02565155364573002,
-0.014286791905760765,
0.043660931289196014,
0.01700514368712902,
-0.030360203236341476,
0.10581689327955246,
-0.1077742800116539,
0.012081720866262913,
0.027572108432650566,
-0.0371430329978466,
-0.15215076506137848,
0.0006575951701961458,
0.00620444118976593,
0.004767964128404856,
0.10241153836250305,
-0.09240933507680893,
-0.035085659474134445,
-0.002462261589244008,
0.06130640581250191,
-0.032841093838214874,
-0.02571331150829792,
0.08483974635601044,
0.011317805387079716,
-0.0419401191174984,
0.03886735811829567,
0.11356780678033829,
-0.05009021610021591,
0.041918277740478516,
0.07362575829029083,
-0.002089469227939844,
-0.010646242648363113,
-0.0518057681620121,
-0.020172560587525368,
0.1315893828868866,
-0.034101452678442,
0.0781661719083786,
0.016736088320612907,
-0.11353357881307602,
0.019257038831710815,
-0.057373225688934326,
-0.05910567566752434,
0.03845781087875366,
-0.03457792475819588,
-0.030361350625753403,
-0.0029949338641017675,
3.383144373353547e-33,
-0.04507532715797424,
0.09937863051891327,
-0.03933660686016083,
-0.018831653520464897,
-0.0632147565484047,
-0.03246485814452171,
0.04347984492778778,
0.0032186368480324745,
-0.05251695215702057,
-0.0027904296293854713,
-0.024161405861377716,
0.06754378974437714,
0.008846628479659557,
-0.048232436180114746,
-0.04052167758345604,
0.0482470728456974,
-0.014496169984340668,
0.10119467973709106,
-0.03803151100873947,
0.0020778151229023933,
0.04656568914651871,
-0.07309884577989578,
0.001107621705159545,
0.07384150475263596,
0.01578725501894951,
0.008752992376685143,
0.027662599459290504,
-0.026614395901560783,
-0.006173340603709221,
0.005663256160914898,
0.0463559553027153,
0.016475357115268707,
0.029245268553495407,
0.05976470187306404,
0.01668749749660492,
-0.07536686956882477,
0.029622238129377365,
0.0327860526740551,
-0.02699090912938118,
0.008184030652046204,
0.023815810680389404,
0.030684122815728188,
0.07906574755907059,
0.009241842664778233,
-0.06194799020886421,
0.03227465599775314,
-0.010131930001080036,
-0.03838735818862915,
0.04428473114967346,
0.013062901794910431,
-0.025903768837451935,
-0.06925000995397568,
-0.06911134719848633,
0.05235501006245613,
0.04445332661271095,
-0.007999087683856487,
-0.028069546446204185,
0.007359365001320839,
0.04039885476231575,
0.028452185913920403,
0.04158132150769234,
-0.0007036540773697197,
0.008296261541545391,
0.029378585517406464,
-0.021788030862808228,
0.08764669299125671,
-0.03328527510166168,
-0.03158413618803024,
-0.05464284121990204,
0.09915024042129517,
-0.013237162493169308,
0.0653822049498558,
0.02350027672946453,
-0.08013106137514114,
0.11033714562654495,
-0.02097224071621895,
-0.08646844327449799,
0.00839220080524683,
0.050772689282894135,
-0.010958850383758545,
-0.03536989539861679,
-0.033374983817338943,
0.030304234474897385,
-0.03899604082107544,
-0.11976484954357147,
0.04111744090914726,
-0.05677548795938492,
0.015637585893273354,
-0.03852468729019165,
-0.07569236308336258,
0.06700819730758667,
-0.042748309671878815,
0.08289364725351334,
-0.05807390809059143,
-0.08837996423244476,
-2.497265198279985e-33,
0.13645386695861816,
0.0032523362897336483,
0.03446764871478081,
0.017885614186525345,
0.024903099983930588,
0.05656890571117401,
-0.0335492342710495,
-0.0032920928206294775,
-0.007332325913012028,
-0.08710569143295288,
0.061026062816381454,
0.03737058490514755,
-0.05168144777417183,
0.010286845266819,
0.006853173952549696,
-0.005433648359030485,
-0.007137151435017586,
-0.06274137645959854,
0.03072674572467804,
0.04665009304881096,
0.06807894259691238,
-0.01975001022219658,
0.05406302958726883,
-0.060509275645017624,
-0.01354178786277771,
-0.023811209946870804,
0.023590516299009323,
-0.022090503945946693,
0.00685195904225111,
-0.02683193050324917,
-0.038745101541280746,
0.007239275146275759,
-0.03689683601260185,
0.03052423521876335,
-0.05976476892828941,
-0.014642545953392982,
0.05488499999046326,
-0.040695544332265854,
-0.04358189180493355,
0.038650888949632645,
0.020770857110619545,
0.1123318299651146,
-0.029039477929472923,
0.047409478574991226,
0.03947339579463005,
0.025475481525063515,
0.007104674354195595,
0.055034030228853226,
0.03304749354720116,
0.04392511770129204,
-0.009408475831151009,
-0.03980451822280884,
-0.0745716243982315,
0.04416520521044731,
-0.08666344732046127,
0.0573066808283329,
-0.05588556453585625,
0.07846441119909286,
-0.04922250285744667,
0.016351625323295593,
0.004384050145745277,
-0.01626855507493019,
0.0049176765605807304,
0.02003513276576996,
0.00279227108694613,
0.05861277133226395,
0.004460272844880819,
0.0036477982066571712,
-0.039543237537145615,
0.04736745357513428,
0.03318611532449722,
-0.11038604378700256,
-0.032044418156147,
0.02848932519555092,
0.015622984617948532,
-0.022727645933628082,
-0.008646013215184212,
-0.037552691996097565,
0.027996739372611046,
-0.015555890277028084,
-0.01824423298239708,
0.0407223105430603,
0.07973116636276245,
0.04080093279480934,
0.06718418747186661,
0.034043893218040466,
-0.029941927641630173,
0.010998793877661228,
-0.02898554503917694,
-0.10652844607830048,
-0.03550161421298981,
0.0358085073530674,
0.03187509626150131,
-0.03946907818317413,
0.10603775084018707,
-4.386561158753466e-8,
-0.026104627177119255,
-0.053269363939762115,
-0.12745176255702972,
-0.014409289695322514,
0.013143821619451046,
-0.06497713178396225,
0.01994691602885723,
0.05246099829673767,
0.08304376155138016,
-0.10727332532405853,
-0.005464960355311632,
-0.08197694271802902,
-0.019621707499027252,
-0.06636250019073486,
0.005653770174831152,
-0.018424101173877716,
0.057383064180612564,
-0.05657513439655304,
0.018811514601111412,
-0.034804921597242355,
0.07096852362155914,
0.006555269006639719,
0.1133219450712204,
-0.08172652870416641,
-0.06625933200120926,
0.05627252534031868,
0.002631313633173704,
-0.022863227874040604,
0.07294365018606186,
-0.040829136967659,
0.042679671198129654,
-0.026807626709342003,
0.08046719431877136,
0.04199675843119621,
0.06535476446151733,
0.07155962288379669,
-0.03563845902681351,
-0.0042992387898266315,
0.06850728392601013,
0.00769068393856287,
-0.04144785553216934,
-0.036616530269384384,
0.034856345504522324,
-0.009503037668764591,
0.00859413668513298,
0.04141612723469734,
0.05556316673755646,
-0.08967766910791397,
-0.016527732834219933,
0.05540061369538307,
0.02920088730752468,
0.037190571427345276,
-0.0018948395736515522,
-0.08434905856847763,
0.05309391766786575,
-0.04648960009217262,
0.03514721617102623,
-0.0274627897888422,
0.006753594148904085,
0.11308541148900986,
0.06414911895990372,
-0.0828397125005722,
-0.08767775446176529,
-0.040480274707078934
] | null | null | null | null | null | null | null |
[
0.0018171720439568162,
-0.04214218631386757,
-0.07389260828495026,
0.04878450557589531,
-0.014374720863997936,
-0.13904744386672974,
0.014416045509278774,
-0.06044386699795723,
-0.014378469437360764,
-0.06831914931535721,
0.05516200512647629,
0.039241891354322433,
0.08561515808105469,
-0.03162962198257446,
-0.0284490417689085,
0.014132216572761536,
0.05042706057429314,
0.04193210229277611,
-0.02850012481212616,
-0.02785729244351387,
-0.034620851278305054,
-0.0600661039352417,
-0.006905784830451012,
-0.006664333399385214,
0.06416693329811096,
0.024519477039575577,
-0.044000204652547836,
-0.016743410378694534,
0.013075386174023151,
-0.024717675521969795,
0.06479952484369278,
-0.020582076162099838,
0.04357273504137993,
0.028455065563321114,
0.014288278296589851,
0.0008136770920827985,
0.0894680917263031,
0.009550423361361027,
0.008934162557125092,
-0.016976037994027138,
0.03913220763206482,
-0.004038440529257059,
0.025398897007107735,
-0.07450682669878006,
0.00911830272525549,
0.02599349059164524,
0.009424391202628613,
-0.11543609946966171,
-0.08405895531177521,
-0.08776436746120453,
0.09796005487442017,
0.04717879369854927,
-0.035788558423519135,
0.00515612680464983,
0.057338129729032516,
0.14095820486545563,
0.01089830044656992,
-0.02359825000166893,
-0.02149072475731373,
0.050988517701625824,
0.03172753378748894,
0.00944217387586832,
-0.006297912448644638,
-0.004314483143389225,
0.054634373635053635,
-0.0484117791056633,
0.0060071260668337345,
0.007034160662442446,
-0.03458281233906746,
-0.017030896618962288,
-0.05726434290409088,
0.07580190896987915,
-0.009005317464470863,
-0.1129860132932663,
-0.026935504749417305,
0.058483559638261795,
0.010145115666091442,
0.008862419985234737,
0.036359693855047226,
-0.04239453375339508,
-0.031826384365558624,
-0.006688174791634083,
0.02565155364573002,
-0.014286791905760765,
0.043660931289196014,
0.01700514368712902,
-0.030360203236341476,
0.10581689327955246,
-0.1077742800116539,
0.012081720866262913,
0.027572108432650566,
-0.0371430329978466,
-0.15215076506137848,
0.0006575951701961458,
0.00620444118976593,
0.004767964128404856,
0.10241153836250305,
-0.09240933507680893,
-0.035085659474134445,
-0.002462261589244008,
0.06130640581250191,
-0.032841093838214874,
-0.02571331150829792,
0.08483974635601044,
0.011317805387079716,
-0.0419401191174984,
0.03886735811829567,
0.11356780678033829,
-0.05009021610021591,
0.041918277740478516,
0.07362575829029083,
-0.002089469227939844,
-0.010646242648363113,
-0.0518057681620121,
-0.020172560587525368,
0.1315893828868866,
-0.034101452678442,
0.0781661719083786,
0.016736088320612907,
-0.11353357881307602,
0.019257038831710815,
-0.057373225688934326,
-0.05910567566752434,
0.03845781087875366,
-0.03457792475819588,
-0.030361350625753403,
-0.0029949338641017675,
3.383144373353547e-33,
-0.04507532715797424,
0.09937863051891327,
-0.03933660686016083,
-0.018831653520464897,
-0.0632147565484047,
-0.03246485814452171,
0.04347984492778778,
0.0032186368480324745,
-0.05251695215702057,
-0.0027904296293854713,
-0.024161405861377716,
0.06754378974437714,
0.008846628479659557,
-0.048232436180114746,
-0.04052167758345604,
0.0482470728456974,
-0.014496169984340668,
0.10119467973709106,
-0.03803151100873947,
0.0020778151229023933,
0.04656568914651871,
-0.07309884577989578,
0.001107621705159545,
0.07384150475263596,
0.01578725501894951,
0.008752992376685143,
0.027662599459290504,
-0.026614395901560783,
-0.006173340603709221,
0.005663256160914898,
0.0463559553027153,
0.016475357115268707,
0.029245268553495407,
0.05976470187306404,
0.01668749749660492,
-0.07536686956882477,
0.029622238129377365,
0.0327860526740551,
-0.02699090912938118,
0.008184030652046204,
0.023815810680389404,
0.030684122815728188,
0.07906574755907059,
0.009241842664778233,
-0.06194799020886421,
0.03227465599775314,
-0.010131930001080036,
-0.03838735818862915,
0.04428473114967346,
0.013062901794910431,
-0.025903768837451935,
-0.06925000995397568,
-0.06911134719848633,
0.05235501006245613,
0.04445332661271095,
-0.007999087683856487,
-0.028069546446204185,
0.007359365001320839,
0.04039885476231575,
0.028452185913920403,
0.04158132150769234,
-0.0007036540773697197,
0.008296261541545391,
0.029378585517406464,
-0.021788030862808228,
0.08764669299125671,
-0.03328527510166168,
-0.03158413618803024,
-0.05464284121990204,
0.09915024042129517,
-0.013237162493169308,
0.0653822049498558,
0.02350027672946453,
-0.08013106137514114,
0.11033714562654495,
-0.02097224071621895,
-0.08646844327449799,
0.00839220080524683,
0.050772689282894135,
-0.010958850383758545,
-0.03536989539861679,
-0.033374983817338943,
0.030304234474897385,
-0.03899604082107544,
-0.11976484954357147,
0.04111744090914726,
-0.05677548795938492,
0.015637585893273354,
-0.03852468729019165,
-0.07569236308336258,
0.06700819730758667,
-0.042748309671878815,
0.08289364725351334,
-0.05807390809059143,
-0.08837996423244476,
-2.497265198279985e-33,
0.13645386695861816,
0.0032523362897336483,
0.03446764871478081,
0.017885614186525345,
0.024903099983930588,
0.05656890571117401,
-0.0335492342710495,
-0.0032920928206294775,
-0.007332325913012028,
-0.08710569143295288,
0.061026062816381454,
0.03737058490514755,
-0.05168144777417183,
0.010286845266819,
0.006853173952549696,
-0.005433648359030485,
-0.007137151435017586,
-0.06274137645959854,
0.03072674572467804,
0.04665009304881096,
0.06807894259691238,
-0.01975001022219658,
0.05406302958726883,
-0.060509275645017624,
-0.01354178786277771,
-0.023811209946870804,
0.023590516299009323,
-0.022090503945946693,
0.00685195904225111,
-0.02683193050324917,
-0.038745101541280746,
0.007239275146275759,
-0.03689683601260185,
0.03052423521876335,
-0.05976476892828941,
-0.014642545953392982,
0.05488499999046326,
-0.040695544332265854,
-0.04358189180493355,
0.038650888949632645,
0.020770857110619545,
0.1123318299651146,
-0.029039477929472923,
0.047409478574991226,
0.03947339579463005,
0.025475481525063515,
0.007104674354195595,
0.055034030228853226,
0.03304749354720116,
0.04392511770129204,
-0.009408475831151009,
-0.03980451822280884,
-0.0745716243982315,
0.04416520521044731,
-0.08666344732046127,
0.0573066808283329,
-0.05588556453585625,
0.07846441119909286,
-0.04922250285744667,
0.016351625323295593,
0.004384050145745277,
-0.01626855507493019,
0.0049176765605807304,
0.02003513276576996,
0.00279227108694613,
0.05861277133226395,
0.004460272844880819,
0.0036477982066571712,
-0.039543237537145615,
0.04736745357513428,
0.03318611532449722,
-0.11038604378700256,
-0.032044418156147,
0.02848932519555092,
0.015622984617948532,
-0.022727645933628082,
-0.008646013215184212,
-0.037552691996097565,
0.027996739372611046,
-0.015555890277028084,
-0.01824423298239708,
0.0407223105430603,
0.07973116636276245,
0.04080093279480934,
0.06718418747186661,
0.034043893218040466,
-0.029941927641630173,
0.010998793877661228,
-0.02898554503917694,
-0.10652844607830048,
-0.03550161421298981,
0.0358085073530674,
0.03187509626150131,
-0.03946907818317413,
0.10603775084018707,
-4.386561158753466e-8,
-0.026104627177119255,
-0.053269363939762115,
-0.12745176255702972,
-0.014409289695322514,
0.013143821619451046,
-0.06497713178396225,
0.01994691602885723,
0.05246099829673767,
0.08304376155138016,
-0.10727332532405853,
-0.005464960355311632,
-0.08197694271802902,
-0.019621707499027252,
-0.06636250019073486,
0.005653770174831152,
-0.018424101173877716,
0.057383064180612564,
-0.05657513439655304,
0.018811514601111412,
-0.034804921597242355,
0.07096852362155914,
0.006555269006639719,
0.1133219450712204,
-0.08172652870416641,
-0.06625933200120926,
0.05627252534031868,
0.002631313633173704,
-0.022863227874040604,
0.07294365018606186,
-0.040829136967659,
0.042679671198129654,
-0.026807626709342003,
0.08046719431877136,
0.04199675843119621,
0.06535476446151733,
0.07155962288379669,
-0.03563845902681351,
-0.0042992387898266315,
0.06850728392601013,
0.00769068393856287,
-0.04144785553216934,
-0.036616530269384384,
0.034856345504522324,
-0.009503037668764591,
0.00859413668513298,
0.04141612723469734,
0.05556316673755646,
-0.08967766910791397,
-0.016527732834219933,
0.05540061369538307,
0.02920088730752468,
0.037190571427345276,
-0.0018948395736515522,
-0.08434905856847763,
0.05309391766786575,
-0.04648960009217262,
0.03514721617102623,
-0.0274627897888422,
0.006753594148904085,
0.11308541148900986,
0.06414911895990372,
-0.0828397125005722,
-0.08767775446176529,
-0.040480274707078934
] |
1402.3094
|
Bijaya Sahoo Dr.
|
Madhulita Das, B. K. Sahoo, Sourav Pal
|
Relativistic Spectroscopy of Plasma Embedded Li-like Systems with the
Screening Effects in the Two-body Debye Potentials
|
5 tables and 10 figures
| null |
10.1088/0953-4075/47/17/175701
| null |
physics.atom-ph physics.optics physics.plasm-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The spectroscopic properties of Li atom and Li-like Ca and Ti ions in the
plasma environment are investigated using a relativistic coupled-cluster (RCC)
method. Assuming the plasma is of low density and very hot, we consider the
Debye model with two approximations by accounting the screening effects: (i) in
the nuclear potential alone and (ii) in both the nuclear and the
electron-electron interaction potentials. First, the calculations for the
energies and the lifetimes of the atomic states are carried out for the plasma
free systems in order to check their accuracies following which they are
investigated in the plasma environment. It is observed that screenings in the
electron-electron interaction potentials stabilize the systems more than the
case when the screenings present only in the nuclear potential. Similarly, the
earlier predicted blue and red shifts in the $\Delta n=0$ and $\Delta n \ne 0$
transition lines (with the principal quantum number $n$) of the Li-like ions
change significantly in the case (ii) approximation. The level-crossings among
the energy levels are observed for the large screening effects which seem to be
prominent in the states of higher orbital angular momentum. The lifetimes of
many low-lying states and the relative line-intensities of the allowed
transitions are estimated considering different plasma screening strengths.
|
[
{
"created": "Thu, 13 Feb 2014 11:33:57 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Das",
"Madhulita",
""
],
[
"Sahoo",
"B. K.",
""
],
[
"Pal",
"Sourav",
""
]
] |
[
-0.09543213248252869,
-0.08506152033805847,
-0.025391269475221634,
0.06983581185340881,
-0.008310357108712196,
0.05668410286307335,
-0.007979343645274639,
0.044914960861206055,
0.06212129816412926,
-0.00989480409771204,
-0.011666923761367798,
-0.06433193385601044,
0.024420054629445076,
-0.04364798963069916,
0.05702051520347595,
-0.07670716941356659,
0.039328888058662415,
-0.06632004678249359,
-0.040971215814352036,
0.060700397938489914,
-0.02784532681107521,
-0.0733388289809227,
-0.04357605800032616,
-0.07233664393424988,
0.07144606858491898,
0.03166624903678894,
0.10645002126693726,
-0.05070267245173454,
-0.0223764069378376,
0.003257422475144267,
0.07995874434709549,
0.008198747411370277,
-0.05002020299434662,
0.048680227249860764,
0.04340999945998192,
0.023983651772141457,
0.018560945987701416,
-0.018844274803996086,
-0.09871427714824677,
0.0075294640846550465,
0.011709659360349178,
0.0472416877746582,
-0.028886517509818077,
-0.018430467694997787,
0.023665284737944603,
-0.036843255162239075,
0.025301102548837662,
-0.10364224016666412,
-0.04033105820417404,
0.02797013521194458,
0.044190194457769394,
0.057382963597774506,
0.01430538296699524,
0.03530222922563553,
-0.06043108552694321,
0.007142567075788975,
0.08346240222454071,
0.045204680413007736,
0.01355613674968481,
-0.019224008545279503,
-0.06269259005784988,
0.007021654862910509,
-0.005647566635161638,
0.013506922870874405,
0.04863175004720688,
0.025762833654880524,
0.055371396243572235,
-0.011138077825307846,
0.01537010632455349,
-0.035210609436035156,
-0.06291083246469498,
0.04136266931891441,
-0.03253171220421791,
-0.06848469376564026,
-0.011266360990703106,
-0.04406283423304558,
0.05473896861076355,
-0.005521590355783701,
-0.02081332728266716,
-0.08177467435598373,
-0.01750730164349079,
0.002126078587025404,
0.008753404021263123,
-0.0013467465760186315,
-0.008347682654857635,
0.09251193702220917,
-0.050917886197566986,
-0.0689675584435463,
0.02010940946638584,
-0.016345754265785217,
0.014818262308835983,
0.009377188980579376,
-0.05568508803844452,
-0.014046251773834229,
0.06847204267978668,
0.09357167035341263,
0.08645792305469513,
-0.03281533345580101,
0.05986745283007622,
0.038927048444747925,
0.05760866403579712,
0.015666740015149117,
-0.03213122859597206,
0.034402474761009216,
-0.07488847523927689,
0.0014976444654166698,
0.11042946577072144,
-0.007385184522718191,
-0.0825139731168747,
0.13213518261909485,
0.10937991738319397,
-0.004070569761097431,
0.04592852666974068,
0.02539250999689102,
-0.03150121867656708,
0.05535026639699936,
-0.01787320151925087,
-0.0045753237791359425,
0.03276992589235306,
-0.006468032021075487,
0.006002003327012062,
-0.027871884405612946,
0.04171273484826088,
0.07512349635362625,
0.04216645285487175,
0.014474891126155853,
-0.07402048259973526,
-4.107726897217578e-34,
-0.006807020865380764,
0.014114797115325928,
0.0014339019544422626,
-0.030968930572271347,
-0.06696679443120956,
-0.052703481167554855,
-0.05896798148751259,
-0.00823607761412859,
-0.07726987451314926,
-0.018649563193321228,
0.0326303206384182,
0.06551145762205124,
0.09077579528093338,
-0.07120709121227264,
0.006291189696639776,
0.062109094113111496,
0.01991407200694084,
0.03884420916438103,
-0.004323843400925398,
-0.009524984285235405,
-0.019618013873696327,
-0.01710662432014942,
0.00965774618089199,
-0.030484458431601524,
-0.047158680856227875,
0.08897433429956436,
0.05359162390232086,
-0.0001620369148440659,
-0.12904594838619232,
-0.016696982085704803,
-0.03399388864636421,
0.02407398633658886,
-0.030983816832304,
0.0457211434841156,
0.004429035820066929,
0.0032836480531841516,
-0.06354110687971115,
-0.0020746930968016386,
-0.0016136043705046177,
-0.06726650148630142,
-0.05603695660829544,
0.0020489555317908525,
-0.044240474700927734,
0.03654142841696739,
0.06112802401185036,
-0.05324451997876167,
0.08037040382623672,
-0.07904443889856339,
-0.06943997740745544,
0.0054977224208414555,
0.019658053293824196,
-0.01644882559776306,
-0.027293171733617783,
-0.010510156862437725,
-0.007366642355918884,
-0.006001458503305912,
0.04080909490585327,
0.009373250417411327,
-0.022740142419934273,
0.051857221871614456,
0.11692015081644058,
0.010333077050745487,
0.026271343231201172,
0.00013356952695176005,
-0.010743945837020874,
0.040522072464227676,
-0.10694565623998642,
-0.010143810883164406,
0.08875442296266556,
-0.045285943895578384,
0.001837239135056734,
0.06810833513736725,
0.14531487226486206,
-0.036607157438993454,
0.08409211784601212,
0.034534648060798645,
0.02472843788564205,
0.06558293104171753,
-0.023483416065573692,
-0.03779877722263336,
0.05595419928431511,
-0.12365984171628952,
0.004933567252010107,
0.01776365377008915,
-0.015273488126695156,
-0.0639464482665062,
-0.06877388060092926,
-0.050688181072473526,
-0.08327297866344452,
-0.054127730429172516,
0.046458084136247635,
-0.03667297214269638,
0.033742498606443405,
-0.0930151417851448,
-0.039558667689561844,
-2.2920663126256386e-33,
-0.013804829679429531,
0.01361598540097475,
0.010038484819233418,
-0.016073666512966156,
0.00785309448838234,
-0.02167673036456108,
-0.03275105357170105,
0.07234373688697815,
0.0029283687472343445,
-0.013637440279126167,
0.08279838413000107,
0.036658138036727905,
-0.04150378331542015,
-0.09771165251731873,
0.016737574711441994,
0.007123167626559734,
0.04677008464932442,
0.0322951041162014,
0.08530821651220322,
-0.0671132355928421,
0.05600075051188469,
-0.02427043952047825,
0.058850180357694626,
-0.016606725752353668,
-0.014784479513764381,
0.003416584338992834,
0.03897174075245857,
-0.05816739425063133,
-0.0007009358960203826,
0.007042617071419954,
-0.03272976726293564,
0.037576641887426376,
-0.05871077626943588,
0.06781096756458282,
0.004067535977810621,
-0.03994590416550636,
-0.10311731696128845,
-0.04036981239914894,
0.009961389005184174,
-0.001344050862826407,
-0.049066442996263504,
-0.006918544415384531,
0.010473297908902168,
-0.040467701852321625,
0.05176888406276703,
-0.037546347826719284,
-0.055431995540857315,
0.01599300466477871,
0.04455624520778656,
-0.03486419841647148,
-0.006359342951327562,
-0.006999597884714603,
-0.045917779207229614,
0.03475654497742653,
-0.050454821437597275,
0.07251686602830887,
0.029114477336406708,
0.09840378910303116,
0.07720985263586044,
-0.02065267041325569,
-0.01976732723414898,
-0.001160625834017992,
0.0745663270354271,
0.06909750401973724,
-0.04905511066317558,
-0.08247186243534088,
-0.007054571062326431,
0.028827276080846786,
0.051327183842659,
-0.010387706570327282,
0.009303534403443336,
-0.018451154232025146,
0.008797457441687584,
-0.007382512558251619,
-0.049175530672073364,
-0.03522593155503273,
0.10480474680662155,
-0.12805545330047607,
0.011541834101080894,
-0.035577937960624695,
-0.06324287503957748,
0.02758537419140339,
-0.08459152281284332,
-0.06408845633268356,
0.0565757118165493,
0.017953231930732727,
-0.09571535885334015,
-0.020774589851498604,
0.04639136791229248,
-0.03959495946764946,
0.021437060087919235,
-0.04484609141945839,
0.026866072788834572,
-0.05559926480054855,
0.004046788439154625,
-5.854627360690756e-8,
0.07790030539035797,
0.00795635674148798,
-0.03522738814353943,
0.10796616226434708,
0.05750507861375809,
0.014933887869119644,
-0.026855358853936195,
-0.05847184732556343,
-0.020014649257063866,
0.023153560236096382,
0.09518556296825409,
0.000278750027064234,
-0.02653702162206173,
-0.02151530049741268,
0.039858490228652954,
0.06951387971639633,
-0.016418173909187317,
-0.03797712177038193,
-0.0344761423766613,
0.07267358154058456,
0.02017829939723015,
-0.0024267928674817085,
0.02510676719248295,
0.022899918258190155,
-0.07524796575307846,
-0.014930208213627338,
0.00007711607031524181,
-0.01508829090744257,
0.049719590693712234,
-0.05469401180744171,
-0.0709153264760971,
-0.001246027066372335,
0.07021038234233856,
-0.00561992172151804,
-0.025470618158578873,
-0.02250225841999054,
-0.052774783223867416,
0.0684913694858551,
0.01394055224955082,
0.1257038116455078,
-0.005551909562200308,
-0.0009245749679394066,
0.051075078547000885,
0.015140362083911896,
-0.00011361055658198893,
0.12749987840652466,
-0.030610164627432823,
-0.02740621380507946,
0.05336376279592514,
0.05519804731011391,
-0.089270681142807,
0.047611452639102936,
-0.0892447754740715,
-0.08720828592777252,
-0.10284598171710968,
0.029278159141540527,
-0.06760014593601227,
0.020479384809732437,
0.1138661727309227,
0.00023265142226591706,
0.10564734786748886,
-0.012937523424625397,
-0.07222408801317215,
-0.0004209520702715963
] | null | null | null | null | null | null | null |
[
-0.09543213248252869,
-0.08506152033805847,
-0.025391269475221634,
0.06983581185340881,
-0.008310357108712196,
0.05668410286307335,
-0.007979343645274639,
0.044914960861206055,
0.06212129816412926,
-0.00989480409771204,
-0.011666923761367798,
-0.06433193385601044,
0.024420054629445076,
-0.04364798963069916,
0.05702051520347595,
-0.07670716941356659,
0.039328888058662415,
-0.06632004678249359,
-0.040971215814352036,
0.060700397938489914,
-0.02784532681107521,
-0.0733388289809227,
-0.04357605800032616,
-0.07233664393424988,
0.07144606858491898,
0.03166624903678894,
0.10645002126693726,
-0.05070267245173454,
-0.0223764069378376,
0.003257422475144267,
0.07995874434709549,
0.008198747411370277,
-0.05002020299434662,
0.048680227249860764,
0.04340999945998192,
0.023983651772141457,
0.018560945987701416,
-0.018844274803996086,
-0.09871427714824677,
0.0075294640846550465,
0.011709659360349178,
0.0472416877746582,
-0.028886517509818077,
-0.018430467694997787,
0.023665284737944603,
-0.036843255162239075,
0.025301102548837662,
-0.10364224016666412,
-0.04033105820417404,
0.02797013521194458,
0.044190194457769394,
0.057382963597774506,
0.01430538296699524,
0.03530222922563553,
-0.06043108552694321,
0.007142567075788975,
0.08346240222454071,
0.045204680413007736,
0.01355613674968481,
-0.019224008545279503,
-0.06269259005784988,
0.007021654862910509,
-0.005647566635161638,
0.013506922870874405,
0.04863175004720688,
0.025762833654880524,
0.055371396243572235,
-0.011138077825307846,
0.01537010632455349,
-0.035210609436035156,
-0.06291083246469498,
0.04136266931891441,
-0.03253171220421791,
-0.06848469376564026,
-0.011266360990703106,
-0.04406283423304558,
0.05473896861076355,
-0.005521590355783701,
-0.02081332728266716,
-0.08177467435598373,
-0.01750730164349079,
0.002126078587025404,
0.008753404021263123,
-0.0013467465760186315,
-0.008347682654857635,
0.09251193702220917,
-0.050917886197566986,
-0.0689675584435463,
0.02010940946638584,
-0.016345754265785217,
0.014818262308835983,
0.009377188980579376,
-0.05568508803844452,
-0.014046251773834229,
0.06847204267978668,
0.09357167035341263,
0.08645792305469513,
-0.03281533345580101,
0.05986745283007622,
0.038927048444747925,
0.05760866403579712,
0.015666740015149117,
-0.03213122859597206,
0.034402474761009216,
-0.07488847523927689,
0.0014976444654166698,
0.11042946577072144,
-0.007385184522718191,
-0.0825139731168747,
0.13213518261909485,
0.10937991738319397,
-0.004070569761097431,
0.04592852666974068,
0.02539250999689102,
-0.03150121867656708,
0.05535026639699936,
-0.01787320151925087,
-0.0045753237791359425,
0.03276992589235306,
-0.006468032021075487,
0.006002003327012062,
-0.027871884405612946,
0.04171273484826088,
0.07512349635362625,
0.04216645285487175,
0.014474891126155853,
-0.07402048259973526,
-4.107726897217578e-34,
-0.006807020865380764,
0.014114797115325928,
0.0014339019544422626,
-0.030968930572271347,
-0.06696679443120956,
-0.052703481167554855,
-0.05896798148751259,
-0.00823607761412859,
-0.07726987451314926,
-0.018649563193321228,
0.0326303206384182,
0.06551145762205124,
0.09077579528093338,
-0.07120709121227264,
0.006291189696639776,
0.062109094113111496,
0.01991407200694084,
0.03884420916438103,
-0.004323843400925398,
-0.009524984285235405,
-0.019618013873696327,
-0.01710662432014942,
0.00965774618089199,
-0.030484458431601524,
-0.047158680856227875,
0.08897433429956436,
0.05359162390232086,
-0.0001620369148440659,
-0.12904594838619232,
-0.016696982085704803,
-0.03399388864636421,
0.02407398633658886,
-0.030983816832304,
0.0457211434841156,
0.004429035820066929,
0.0032836480531841516,
-0.06354110687971115,
-0.0020746930968016386,
-0.0016136043705046177,
-0.06726650148630142,
-0.05603695660829544,
0.0020489555317908525,
-0.044240474700927734,
0.03654142841696739,
0.06112802401185036,
-0.05324451997876167,
0.08037040382623672,
-0.07904443889856339,
-0.06943997740745544,
0.0054977224208414555,
0.019658053293824196,
-0.01644882559776306,
-0.027293171733617783,
-0.010510156862437725,
-0.007366642355918884,
-0.006001458503305912,
0.04080909490585327,
0.009373250417411327,
-0.022740142419934273,
0.051857221871614456,
0.11692015081644058,
0.010333077050745487,
0.026271343231201172,
0.00013356952695176005,
-0.010743945837020874,
0.040522072464227676,
-0.10694565623998642,
-0.010143810883164406,
0.08875442296266556,
-0.045285943895578384,
0.001837239135056734,
0.06810833513736725,
0.14531487226486206,
-0.036607157438993454,
0.08409211784601212,
0.034534648060798645,
0.02472843788564205,
0.06558293104171753,
-0.023483416065573692,
-0.03779877722263336,
0.05595419928431511,
-0.12365984171628952,
0.004933567252010107,
0.01776365377008915,
-0.015273488126695156,
-0.0639464482665062,
-0.06877388060092926,
-0.050688181072473526,
-0.08327297866344452,
-0.054127730429172516,
0.046458084136247635,
-0.03667297214269638,
0.033742498606443405,
-0.0930151417851448,
-0.039558667689561844,
-2.2920663126256386e-33,
-0.013804829679429531,
0.01361598540097475,
0.010038484819233418,
-0.016073666512966156,
0.00785309448838234,
-0.02167673036456108,
-0.03275105357170105,
0.07234373688697815,
0.0029283687472343445,
-0.013637440279126167,
0.08279838413000107,
0.036658138036727905,
-0.04150378331542015,
-0.09771165251731873,
0.016737574711441994,
0.007123167626559734,
0.04677008464932442,
0.0322951041162014,
0.08530821651220322,
-0.0671132355928421,
0.05600075051188469,
-0.02427043952047825,
0.058850180357694626,
-0.016606725752353668,
-0.014784479513764381,
0.003416584338992834,
0.03897174075245857,
-0.05816739425063133,
-0.0007009358960203826,
0.007042617071419954,
-0.03272976726293564,
0.037576641887426376,
-0.05871077626943588,
0.06781096756458282,
0.004067535977810621,
-0.03994590416550636,
-0.10311731696128845,
-0.04036981239914894,
0.009961389005184174,
-0.001344050862826407,
-0.049066442996263504,
-0.006918544415384531,
0.010473297908902168,
-0.040467701852321625,
0.05176888406276703,
-0.037546347826719284,
-0.055431995540857315,
0.01599300466477871,
0.04455624520778656,
-0.03486419841647148,
-0.006359342951327562,
-0.006999597884714603,
-0.045917779207229614,
0.03475654497742653,
-0.050454821437597275,
0.07251686602830887,
0.029114477336406708,
0.09840378910303116,
0.07720985263586044,
-0.02065267041325569,
-0.01976732723414898,
-0.001160625834017992,
0.0745663270354271,
0.06909750401973724,
-0.04905511066317558,
-0.08247186243534088,
-0.007054571062326431,
0.028827276080846786,
0.051327183842659,
-0.010387706570327282,
0.009303534403443336,
-0.018451154232025146,
0.008797457441687584,
-0.007382512558251619,
-0.049175530672073364,
-0.03522593155503273,
0.10480474680662155,
-0.12805545330047607,
0.011541834101080894,
-0.035577937960624695,
-0.06324287503957748,
0.02758537419140339,
-0.08459152281284332,
-0.06408845633268356,
0.0565757118165493,
0.017953231930732727,
-0.09571535885334015,
-0.020774589851498604,
0.04639136791229248,
-0.03959495946764946,
0.021437060087919235,
-0.04484609141945839,
0.026866072788834572,
-0.05559926480054855,
0.004046788439154625,
-5.854627360690756e-8,
0.07790030539035797,
0.00795635674148798,
-0.03522738814353943,
0.10796616226434708,
0.05750507861375809,
0.014933887869119644,
-0.026855358853936195,
-0.05847184732556343,
-0.020014649257063866,
0.023153560236096382,
0.09518556296825409,
0.000278750027064234,
-0.02653702162206173,
-0.02151530049741268,
0.039858490228652954,
0.06951387971639633,
-0.016418173909187317,
-0.03797712177038193,
-0.0344761423766613,
0.07267358154058456,
0.02017829939723015,
-0.0024267928674817085,
0.02510676719248295,
0.022899918258190155,
-0.07524796575307846,
-0.014930208213627338,
0.00007711607031524181,
-0.01508829090744257,
0.049719590693712234,
-0.05469401180744171,
-0.0709153264760971,
-0.001246027066372335,
0.07021038234233856,
-0.00561992172151804,
-0.025470618158578873,
-0.02250225841999054,
-0.052774783223867416,
0.0684913694858551,
0.01394055224955082,
0.1257038116455078,
-0.005551909562200308,
-0.0009245749679394066,
0.051075078547000885,
0.015140362083911896,
-0.00011361055658198893,
0.12749987840652466,
-0.030610164627432823,
-0.02740621380507946,
0.05336376279592514,
0.05519804731011391,
-0.089270681142807,
0.047611452639102936,
-0.0892447754740715,
-0.08720828592777252,
-0.10284598171710968,
0.029278159141540527,
-0.06760014593601227,
0.020479384809732437,
0.1138661727309227,
0.00023265142226591706,
0.10564734786748886,
-0.012937523424625397,
-0.07222408801317215,
-0.0004209520702715963
] |
1402.3096
|
Irfan Deli research
|
Irfan Deli and Naim \c{C}a\u{g}man
|
Relations on FP-Soft Sets Applied to Decision Making Problems
|
soft applications
|
Journal of New Theory 3 (2015) 98-107
| null | null |
math.LO cs.AI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we first define relations on the fuzzy parametrized soft sets
and study their properties. We also give a decision making method based on
these relations. In approximate reasoning, relations on the fuzzy parametrized
soft sets have shown to be of a primordial importance. Finally, the method is
successfully applied to a problems that contain uncertainties.
|
[
{
"created": "Thu, 13 Feb 2014 11:39:27 GMT",
"version": "v1"
}
] |
2016-02-12
|
[
[
"Deli",
"Irfan",
""
],
[
"Çağman",
"Naim",
""
]
] |
[
-0.005617083981633186,
-0.003774001495912671,
0.05624247342348099,
-0.025579316541552544,
-0.05885133519768715,
-0.006769764237105846,
0.1232144832611084,
0.06092170625925064,
-0.02466111071407795,
-0.004084109794348478,
-0.00443377997726202,
-0.016036661341786385,
0.0733935683965683,
0.02435404062271118,
-0.05907795950770378,
0.06221940740942955,
0.02181714028120041,
-0.14662335813045502,
-0.09689447283744812,
0.03144066780805588,
0.014911784790456295,
-0.09127382934093475,
-0.01206951029598713,
0.027900733053684235,
-0.021244751289486885,
0.020220700651407242,
0.030536023899912834,
0.0645172968506813,
0.019429175183176994,
0.01280005369335413,
-0.03513083606958389,
-0.015084028244018555,
-0.006217227317392826,
-0.06028052419424057,
0.05865441635251045,
0.008473370224237442,
-0.0223991721868515,
0.07829099893569946,
0.07396729290485382,
0.04614178463816643,
-0.03628740832209587,
-0.015770040452480316,
0.030158838257193565,
0.025234919041395187,
0.0511653870344162,
0.0846027359366417,
0.004838586784899235,
-0.015502220019698143,
-0.02266830764710903,
0.03717876970767975,
-0.021719103679060936,
0.011739916168153286,
0.0031201711390167475,
-0.06944838166236877,
0.027697257697582245,
0.016541549935936928,
-0.06905392557382584,
0.017685357481241226,
0.024416116997599602,
0.039962541311979294,
0.02016192302107811,
-0.0766163170337677,
0.09400375187397003,
-0.045141931623220444,
0.006464721169322729,
0.02938740886747837,
-0.009145348332822323,
-0.03420290723443031,
0.00034810698707588017,
-0.0180943813174963,
0.027216339483857155,
0.05109593644738197,
-0.07860837876796722,
0.020177653059363365,
-0.028807995840907097,
0.0233598779886961,
0.10921463370323181,
-0.023552166298031807,
-0.059281785041093826,
-0.0276025403290987,
-0.05002027004957199,
-0.05747339129447937,
-0.03274351358413696,
-0.08055026084184647,
0.02371041662991047,
0.009381324984133244,
0.024505574256181717,
-0.052357859909534454,
0.025588972494006157,
-0.007386709097772837,
0.053474780172109604,
-0.06823567301034927,
0.07872552424669266,
0.06188114732503891,
-0.01493842713534832,
0.010762752033770084,
0.034702885895967484,
0.06323929876089096,
-0.0004158225783612579,
0.04926305636763573,
-0.0727105587720871,
0.007068140897899866,
0.06148281693458557,
-0.05495110899209976,
0.05690135061740875,
-0.021002773195505142,
-0.013103709556162357,
-0.09877215325832367,
0.019782425835728645,
-0.10404209047555923,
-0.06307420134544373,
-0.11465688049793243,
-0.006264163181185722,
0.0676533430814743,
-0.03633822128176689,
-0.05690070986747742,
0.10893376916646957,
0.021710582077503204,
-0.005478319246321917,
-0.03621659055352211,
-0.005867868196219206,
-0.015387513674795628,
0.023834222927689552,
0.051809072494506836,
0.039904557168483734,
-0.029542269185185432,
-0.02402067556977272,
3.5518420471984494e-34,
0.008828534744679928,
-0.04233608394861221,
-0.07835500687360764,
-0.05062234401702881,
-0.07442853599786758,
0.006440687924623489,
0.02662229910492897,
-0.03610853850841522,
0.0204472616314888,
0.006225224584341049,
-0.007969977334141731,
0.02606264315545559,
-0.030139099806547165,
-0.058504920452833176,
0.07357161492109299,
-0.04627382755279541,
0.07369592040777206,
0.0037531533744186163,
-0.06324336677789688,
-0.06497419625520706,
-0.06675882637500763,
0.014586888253688812,
-0.002531299600377679,
-0.03446512669324875,
0.02886088192462921,
-0.0173113364726305,
0.07929443567991257,
0.04073808714747429,
-0.019153695553541183,
-0.030610650777816772,
-0.013886227272450924,
-0.009283884428441525,
0.027610724791884422,
0.016892049461603165,
0.07043901085853577,
0.012100051157176495,
-0.044935442507267,
0.009481224231421947,
0.021174559369683266,
-0.03709917515516281,
-0.014974324032664299,
-0.008240492083132267,
0.0021572124678641558,
0.07863973826169968,
0.03769054636359215,
0.004268405959010124,
-0.0781150609254837,
0.09345230460166931,
0.025905068963766098,
-0.046542659401893616,
-0.02217860519886017,
0.013159218244254589,
0.017883723601698875,
-0.045881614089012146,
0.01999017968773842,
-0.08122825622558594,
-0.07562413066625595,
0.001664958312176168,
-0.028412124142050743,
0.024211715906858444,
-0.04771456867456436,
-0.10442180186510086,
0.01425111759454012,
-0.0652880072593689,
-0.008992434479296207,
0.02905435487627983,
-0.06339652836322784,
-0.012754757888615131,
0.09043708443641663,
-0.02597019076347351,
0.007377165369689465,
0.02057945914566517,
0.017751537263393402,
-0.07531273365020752,
0.03414561226963997,
0.014395136386156082,
0.06080992519855499,
-0.01577908918261528,
-0.055515628308057785,
-0.08042269945144653,
-0.07752145081758499,
0.11336387693881989,
0.00445849634706974,
0.008856255561113358,
-0.011568835936486721,
0.04652706906199455,
0.0048056007362902164,
-0.005125245079398155,
-0.04360845685005188,
0.016820114105939865,
-0.14561593532562256,
-0.0070650759153068066,
-0.05886261537671089,
-0.009938336908817291,
-0.010100161656737328,
-1.7544072026157173e-36,
-0.04032105579972267,
0.021811893209815025,
-0.023824911564588547,
0.046488575637340546,
0.022094419226050377,
-0.04446026682853699,
-0.016010329127311707,
-0.02511139027774334,
-0.003863964695483446,
0.05346084013581276,
-0.032015666365623474,
0.02190355584025383,
-0.062334831804037094,
-0.08113747835159302,
-0.04213348776102066,
0.10950351506471634,
-0.03938278183341026,
-0.09481221437454224,
0.011406654492020607,
0.022636331617832184,
0.0056947567500174046,
-0.01882462203502655,
-0.022242199629545212,
0.06573130190372467,
-0.03681524470448494,
0.08905328065156937,
-0.05251637473702431,
0.0166336540132761,
-0.01274371799081564,
-0.023088844493031502,
-0.05187069997191429,
-0.1016542837023735,
-0.07612670958042145,
-0.003600635100156069,
-0.0028494209982454777,
-0.07137425988912582,
0.025837905704975128,
0.04257454723119736,
0.028355207294225693,
-0.017397793009877205,
-0.03624315187335014,
0.039030082523822784,
-0.09645330905914307,
0.008730148896574974,
-0.0031577018089592457,
0.032495707273483276,
0.06921377032995224,
-0.08463674783706665,
-0.009782742708921432,
-0.06376318633556366,
0.09353640675544739,
-0.06932169198989868,
0.07779539376497269,
0.050269510596990585,
0.015087733045220375,
0.002215086482465267,
-0.08080261200666428,
0.03990836441516876,
0.028612559661269188,
0.06299973279237747,
-0.0393327958881855,
0.004767547827214003,
0.0660909116268158,
0.09194342792034149,
-0.003341859905049205,
0.05766759440302849,
-0.01609010063111782,
-0.039795562624931335,
-0.041403088718652725,
-0.011041723191738129,
0.11546315252780914,
0.02804197557270527,
0.02555510774254799,
0.0011379756033420563,
0.013073072768747807,
-0.012163469567894936,
0.06650473177433014,
-0.0343930646777153,
0.0840522050857544,
0.08556816726922989,
0.06759489327669144,
0.017192022874951363,
0.0740833431482315,
0.036229658871889114,
-0.07023821026086807,
-0.003524953266605735,
0.07963967323303223,
0.0006293514161370695,
0.06365805119276047,
-0.017869921401143074,
0.020793352276086807,
0.007924165576696396,
0.05549268797039986,
-0.009997776709496975,
-0.05324527621269226,
-3.0235302261871766e-8,
0.03683822974562645,
0.02108559012413025,
-0.056750454008579254,
0.021415842697024345,
0.075528584420681,
-0.02725333161652088,
-0.06366217136383057,
-0.024764174595475197,
-0.06933458894491196,
-0.033809248358011246,
0.044361524283885956,
-0.0242187287658453,
-0.010194971226155758,
0.03450557217001915,
0.03199729323387146,
0.0024645680096000433,
0.005829366389662027,
0.03270283713936806,
-0.03982577845454216,
0.06226828321814537,
-0.00550439627841115,
0.028227945789694786,
-0.05128483846783638,
0.13658413290977478,
0.10461137443780899,
0.0036694416776299477,
-0.10487768799066544,
-0.017156772315502167,
0.009885150007903576,
0.1337316334247589,
0.04753236472606659,
0.023619677871465683,
0.2028442770242691,
0.001082603819668293,
0.04497510939836502,
0.014668136835098267,
-0.04121134802699089,
0.012202749028801918,
-0.1343667358160019,
0.023508554324507713,
0.005452241748571396,
0.015504928305745125,
0.0011238142615184188,
0.018197016790509224,
0.06308552622795105,
-0.0520818792283535,
0.03430189937353134,
-0.07124245911836624,
-0.020446280017495155,
0.04780479148030281,
0.010221407748758793,
0.03361012041568756,
0.003482348984107375,
0.008387445472180843,
-0.07859485596418381,
-0.08770286291837692,
0.0007746197516098619,
-0.019091691821813583,
-0.04213220253586769,
-0.07758031040430069,
-0.04656907916069031,
0.06576525419950485,
0.03146859258413315,
0.10110358148813248
] | null | null | null | null | null | null | null |
[
-0.005617083981633186,
-0.003774001495912671,
0.05624247342348099,
-0.025579316541552544,
-0.05885133519768715,
-0.006769764237105846,
0.1232144832611084,
0.06092170625925064,
-0.02466111071407795,
-0.004084109794348478,
-0.00443377997726202,
-0.016036661341786385,
0.0733935683965683,
0.02435404062271118,
-0.05907795950770378,
0.06221940740942955,
0.02181714028120041,
-0.14662335813045502,
-0.09689447283744812,
0.03144066780805588,
0.014911784790456295,
-0.09127382934093475,
-0.01206951029598713,
0.027900733053684235,
-0.021244751289486885,
0.020220700651407242,
0.030536023899912834,
0.0645172968506813,
0.019429175183176994,
0.01280005369335413,
-0.03513083606958389,
-0.015084028244018555,
-0.006217227317392826,
-0.06028052419424057,
0.05865441635251045,
0.008473370224237442,
-0.0223991721868515,
0.07829099893569946,
0.07396729290485382,
0.04614178463816643,
-0.03628740832209587,
-0.015770040452480316,
0.030158838257193565,
0.025234919041395187,
0.0511653870344162,
0.0846027359366417,
0.004838586784899235,
-0.015502220019698143,
-0.02266830764710903,
0.03717876970767975,
-0.021719103679060936,
0.011739916168153286,
0.0031201711390167475,
-0.06944838166236877,
0.027697257697582245,
0.016541549935936928,
-0.06905392557382584,
0.017685357481241226,
0.024416116997599602,
0.039962541311979294,
0.02016192302107811,
-0.0766163170337677,
0.09400375187397003,
-0.045141931623220444,
0.006464721169322729,
0.02938740886747837,
-0.009145348332822323,
-0.03420290723443031,
0.00034810698707588017,
-0.0180943813174963,
0.027216339483857155,
0.05109593644738197,
-0.07860837876796722,
0.020177653059363365,
-0.028807995840907097,
0.0233598779886961,
0.10921463370323181,
-0.023552166298031807,
-0.059281785041093826,
-0.0276025403290987,
-0.05002027004957199,
-0.05747339129447937,
-0.03274351358413696,
-0.08055026084184647,
0.02371041662991047,
0.009381324984133244,
0.024505574256181717,
-0.052357859909534454,
0.025588972494006157,
-0.007386709097772837,
0.053474780172109604,
-0.06823567301034927,
0.07872552424669266,
0.06188114732503891,
-0.01493842713534832,
0.010762752033770084,
0.034702885895967484,
0.06323929876089096,
-0.0004158225783612579,
0.04926305636763573,
-0.0727105587720871,
0.007068140897899866,
0.06148281693458557,
-0.05495110899209976,
0.05690135061740875,
-0.021002773195505142,
-0.013103709556162357,
-0.09877215325832367,
0.019782425835728645,
-0.10404209047555923,
-0.06307420134544373,
-0.11465688049793243,
-0.006264163181185722,
0.0676533430814743,
-0.03633822128176689,
-0.05690070986747742,
0.10893376916646957,
0.021710582077503204,
-0.005478319246321917,
-0.03621659055352211,
-0.005867868196219206,
-0.015387513674795628,
0.023834222927689552,
0.051809072494506836,
0.039904557168483734,
-0.029542269185185432,
-0.02402067556977272,
3.5518420471984494e-34,
0.008828534744679928,
-0.04233608394861221,
-0.07835500687360764,
-0.05062234401702881,
-0.07442853599786758,
0.006440687924623489,
0.02662229910492897,
-0.03610853850841522,
0.0204472616314888,
0.006225224584341049,
-0.007969977334141731,
0.02606264315545559,
-0.030139099806547165,
-0.058504920452833176,
0.07357161492109299,
-0.04627382755279541,
0.07369592040777206,
0.0037531533744186163,
-0.06324336677789688,
-0.06497419625520706,
-0.06675882637500763,
0.014586888253688812,
-0.002531299600377679,
-0.03446512669324875,
0.02886088192462921,
-0.0173113364726305,
0.07929443567991257,
0.04073808714747429,
-0.019153695553541183,
-0.030610650777816772,
-0.013886227272450924,
-0.009283884428441525,
0.027610724791884422,
0.016892049461603165,
0.07043901085853577,
0.012100051157176495,
-0.044935442507267,
0.009481224231421947,
0.021174559369683266,
-0.03709917515516281,
-0.014974324032664299,
-0.008240492083132267,
0.0021572124678641558,
0.07863973826169968,
0.03769054636359215,
0.004268405959010124,
-0.0781150609254837,
0.09345230460166931,
0.025905068963766098,
-0.046542659401893616,
-0.02217860519886017,
0.013159218244254589,
0.017883723601698875,
-0.045881614089012146,
0.01999017968773842,
-0.08122825622558594,
-0.07562413066625595,
0.001664958312176168,
-0.028412124142050743,
0.024211715906858444,
-0.04771456867456436,
-0.10442180186510086,
0.01425111759454012,
-0.0652880072593689,
-0.008992434479296207,
0.02905435487627983,
-0.06339652836322784,
-0.012754757888615131,
0.09043708443641663,
-0.02597019076347351,
0.007377165369689465,
0.02057945914566517,
0.017751537263393402,
-0.07531273365020752,
0.03414561226963997,
0.014395136386156082,
0.06080992519855499,
-0.01577908918261528,
-0.055515628308057785,
-0.08042269945144653,
-0.07752145081758499,
0.11336387693881989,
0.00445849634706974,
0.008856255561113358,
-0.011568835936486721,
0.04652706906199455,
0.0048056007362902164,
-0.005125245079398155,
-0.04360845685005188,
0.016820114105939865,
-0.14561593532562256,
-0.0070650759153068066,
-0.05886261537671089,
-0.009938336908817291,
-0.010100161656737328,
-1.7544072026157173e-36,
-0.04032105579972267,
0.021811893209815025,
-0.023824911564588547,
0.046488575637340546,
0.022094419226050377,
-0.04446026682853699,
-0.016010329127311707,
-0.02511139027774334,
-0.003863964695483446,
0.05346084013581276,
-0.032015666365623474,
0.02190355584025383,
-0.062334831804037094,
-0.08113747835159302,
-0.04213348776102066,
0.10950351506471634,
-0.03938278183341026,
-0.09481221437454224,
0.011406654492020607,
0.022636331617832184,
0.0056947567500174046,
-0.01882462203502655,
-0.022242199629545212,
0.06573130190372467,
-0.03681524470448494,
0.08905328065156937,
-0.05251637473702431,
0.0166336540132761,
-0.01274371799081564,
-0.023088844493031502,
-0.05187069997191429,
-0.1016542837023735,
-0.07612670958042145,
-0.003600635100156069,
-0.0028494209982454777,
-0.07137425988912582,
0.025837905704975128,
0.04257454723119736,
0.028355207294225693,
-0.017397793009877205,
-0.03624315187335014,
0.039030082523822784,
-0.09645330905914307,
0.008730148896574974,
-0.0031577018089592457,
0.032495707273483276,
0.06921377032995224,
-0.08463674783706665,
-0.009782742708921432,
-0.06376318633556366,
0.09353640675544739,
-0.06932169198989868,
0.07779539376497269,
0.050269510596990585,
0.015087733045220375,
0.002215086482465267,
-0.08080261200666428,
0.03990836441516876,
0.028612559661269188,
0.06299973279237747,
-0.0393327958881855,
0.004767547827214003,
0.0660909116268158,
0.09194342792034149,
-0.003341859905049205,
0.05766759440302849,
-0.01609010063111782,
-0.039795562624931335,
-0.041403088718652725,
-0.011041723191738129,
0.11546315252780914,
0.02804197557270527,
0.02555510774254799,
0.0011379756033420563,
0.013073072768747807,
-0.012163469567894936,
0.06650473177433014,
-0.0343930646777153,
0.0840522050857544,
0.08556816726922989,
0.06759489327669144,
0.017192022874951363,
0.0740833431482315,
0.036229658871889114,
-0.07023821026086807,
-0.003524953266605735,
0.07963967323303223,
0.0006293514161370695,
0.06365805119276047,
-0.017869921401143074,
0.020793352276086807,
0.007924165576696396,
0.05549268797039986,
-0.009997776709496975,
-0.05324527621269226,
-3.0235302261871766e-8,
0.03683822974562645,
0.02108559012413025,
-0.056750454008579254,
0.021415842697024345,
0.075528584420681,
-0.02725333161652088,
-0.06366217136383057,
-0.024764174595475197,
-0.06933458894491196,
-0.033809248358011246,
0.044361524283885956,
-0.0242187287658453,
-0.010194971226155758,
0.03450557217001915,
0.03199729323387146,
0.0024645680096000433,
0.005829366389662027,
0.03270283713936806,
-0.03982577845454216,
0.06226828321814537,
-0.00550439627841115,
0.028227945789694786,
-0.05128483846783638,
0.13658413290977478,
0.10461137443780899,
0.0036694416776299477,
-0.10487768799066544,
-0.017156772315502167,
0.009885150007903576,
0.1337316334247589,
0.04753236472606659,
0.023619677871465683,
0.2028442770242691,
0.001082603819668293,
0.04497510939836502,
0.014668136835098267,
-0.04121134802699089,
0.012202749028801918,
-0.1343667358160019,
0.023508554324507713,
0.005452241748571396,
0.015504928305745125,
0.0011238142615184188,
0.018197016790509224,
0.06308552622795105,
-0.0520818792283535,
0.03430189937353134,
-0.07124245911836624,
-0.020446280017495155,
0.04780479148030281,
0.010221407748758793,
0.03361012041568756,
0.003482348984107375,
0.008387445472180843,
-0.07859485596418381,
-0.08770286291837692,
0.0007746197516098619,
-0.019091691821813583,
-0.04213220253586769,
-0.07758031040430069,
-0.04656907916069031,
0.06576525419950485,
0.03146859258413315,
0.10110358148813248
] |
1402.3105
|
Stefan Hickel PhD
|
Stefan Hickel
|
DNS and LES of two-phase flows with cavitation
|
Keynote Lecture ERCOFTAC Workshop DLES 9, April 3-5, 2013, Dresden,
Germany. to appear in Direct and Large-Eddy Simulation IX, Springer
| null | null | null |
physics.flu-dyn physics.comp-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report on recent progress in the physical and numerical modeling of
compressible two-phase flows that involve phase transition between the liquid
and gaseous state of the fluid.
The high-speed dynamics of cavitation bubbles is studied in well-resolved
simulations (DNS) with a sharp-interface numerical model on a micro scale. The
underlying assumption of the employed evaporation/condensation model is that
phase change occurs in thermal non-equilibrium and that the associated
timescale is larger than that of the wave dynamics. Results for the collapse of
a spherical vapor bubble close to a solid wall are discussed for three
different bubble-wall configurations. The major challenge for such numerical
investigations is to accurately reproduce the dynamics of the interface between
liquid and vapor during the entire collapse process, including the high-speed
dynamics of the late stages, where compressibility of both phases plays a
decisive role.
Direct interface resolving simulations are intractable for real world
technical applications such as turbulent flows involving cavitation clouds with
millions of vapor bubbles and a wide range of time and length scales. For this
reason, we developed a coarse grained model for large-eddy simulation (LES) of
turbulent two-phase flows with cavitation. In LES, vapor bubbles constitute
sub-grid scales that have to be modeled accordingly. On the grid scale, we
solve the compressible Navier-Stokes equations for a homogeneous mixture of
liquid and vapor. For deriving an appropriate equation of state, we assume that
the characteristic time scale of phase change is much smaller than the
numerical time step and that phase change is isentropic and in mechanical
equilibrium at the saturation pressure. This macroscopic model is applied to
realistic technical problems and to more generic flows to study the mutual
interaction of turbulence and cavitation.
|
[
{
"created": "Thu, 13 Feb 2014 12:21:03 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Hickel",
"Stefan",
""
]
] |
[
-0.027232881635427475,
-0.01339630875736475,
0.08334759622812271,
0.0095033785328269,
-0.011525575071573257,
-0.07605668902397156,
-0.06463027745485306,
-0.01604064181447029,
0.04251042753458023,
-0.11287125200033188,
-0.07592886686325073,
-0.03905879333615303,
0.0028238026425242424,
0.005552749149501324,
0.017502643167972565,
-0.07582638412714005,
-0.027123326435685158,
-0.013738513924181461,
-0.034708477556705475,
-0.002075793221592903,
0.09040507674217224,
0.05497660115361214,
-0.09606871753931046,
0.044760651886463165,
0.06704926490783691,
0.007631268817931414,
-0.0302167646586895,
-0.0016554490430280566,
0.018305107951164246,
0.04430235177278519,
0.028762483969330788,
-0.058708421885967255,
-0.1091090515255928,
0.011154877953231335,
0.010484055615961552,
-0.0212834645062685,
0.042704883962869644,
0.05859966203570366,
-0.025665486231446266,
0.0058808354660868645,
0.0010167491855099797,
-0.035691965371370316,
-0.002775777829810977,
0.022495854645967484,
0.16013438999652863,
0.026798052713274956,
0.08897898346185684,
-0.009548609144985676,
0.002708760555833578,
0.04435377195477486,
-0.01850208081305027,
-0.0005958646070212126,
-0.05103469640016556,
-0.01623544655740261,
-0.008315050043165684,
0.05735587328672409,
0.009249218739569187,
-0.00408512819558382,
-0.015388107858598232,
0.04482392221689224,
-0.0065339249558746815,
-0.01328874472528696,
0.000006833597581135109,
-0.00134234968572855,
0.0017561159329488873,
-0.029934635385870934,
0.032815538346767426,
0.04585594683885574,
0.009851209819316864,
-0.004553645849227905,
0.0024328494910150766,
0.01109339203685522,
-0.013841903768479824,
0.04805979132652283,
0.05503106489777565,
0.026853047311306,
-0.05097172409296036,
0.06724058091640472,
-0.07156150043010712,
0.058444637805223465,
0.11435142904520035,
0.02820529229938984,
-0.05644799396395683,
-0.0744885727763176,
-0.16662290692329407,
-0.030985699966549873,
0.06065068393945694,
-0.010153424926102161,
0.047234438359737396,
-0.025647040456533432,
-0.01558036170899868,
0.07822285592556,
0.002718005096539855,
0.062463752925395966,
0.15559543669223785,
-0.017412060871720314,
0.05589652061462402,
0.007806741166859865,
0.04354676604270935,
0.03740537539124489,
-0.04073962941765785,
-0.06323926150798798,
0.031052859500050545,
-0.02165372669696808,
0.1175423189997673,
0.0346418097615242,
0.05903193727135658,
0.04232911393046379,
-0.003743525827303529,
0.019494500011205673,
0.006742913741618395,
-0.06662710756063461,
0.031191350892186165,
-0.008297162130475044,
0.1196574941277504,
0.06434120237827301,
-0.07906036823987961,
-0.008508816361427307,
0.020488254725933075,
-0.042663704603910446,
0.014885295182466507,
-0.02856493555009365,
0.015299048274755478,
-0.050387561321258545,
0.01932618021965027,
0.019006093963980675,
-0.06070417910814285,
-3.6271678170346378e-34,
0.01757906749844551,
0.004770096857100725,
-0.052343133836984634,
0.15137888491153717,
0.050890304148197174,
-0.019625138491392136,
0.020637402310967445,
0.02081049233675003,
-0.026326077058911324,
0.04946402832865715,
0.020731693133711815,
0.011371903121471405,
-0.08861534297466278,
0.021725613623857498,
-0.0643540471792221,
-0.023224884644150734,
0.08530222624540329,
0.013411021791398525,
-0.03676874190568924,
-0.004647301975637674,
0.015025245025753975,
0.04386370629072189,
-0.05006985738873482,
-0.01588456518948078,
-0.00837139505892992,
0.06851422786712646,
-0.003255742136389017,
-0.012974655255675316,
0.014246083796024323,
0.02323807030916214,
-0.044398240745067596,
-0.0717863216996193,
-0.04567048326134682,
-0.00878622941672802,
0.03334251418709755,
0.05052211880683899,
0.014457029290497303,
0.03815723955631256,
-0.021287715062499046,
0.04369311407208443,
-0.0643923282623291,
-0.013819746673107147,
-0.01568797416985035,
0.04041463881731033,
-0.06347856670618057,
-0.03291904181241989,
-0.018416831269860268,
0.04045854136347771,
-0.01717725768685341,
-0.11924757808446884,
0.019704783335328102,
0.04634959250688553,
-0.04127445071935654,
0.06058502569794655,
0.031910307705402374,
0.013858494348824024,
0.09120035171508789,
-0.06270656734704971,
-0.08950761705636978,
-0.04561004042625427,
-0.06538042426109314,
-0.020937714725732803,
-0.0376676507294178,
-0.00814300961792469,
-0.04909590631723404,
0.051361989229917526,
-0.08866571635007858,
0.0401228629052639,
0.027732927352190018,
-0.09689272195100784,
-0.018337063491344452,
0.05552777647972107,
0.04562670364975929,
-0.0851794183254242,
0.015043677762150764,
-0.005042511969804764,
0.12696923315525055,
0.01279909722507,
-0.04168637841939926,
-0.002093646442517638,
-0.05189564824104309,
-0.007969525642693043,
-0.05524798482656479,
0.006696867756545544,
-0.05272681638598442,
-0.02520277537405491,
0.022734105587005615,
0.03716208040714264,
-0.04801364615559578,
-0.09979280084371567,
-0.09461971372365952,
0.030279317870736122,
0.20641477406024933,
-0.08672807365655899,
-0.010745507664978504,
-1.695220627268138e-33,
0.02204277366399765,
0.024065369740128517,
-0.04828329384326935,
0.053198374807834625,
0.01889142207801342,
0.028172241523861885,
0.13249164819717407,
0.012769397348165512,
-0.01382948737591505,
-0.11144223809242249,
-0.05663728713989258,
-0.02468053810298443,
0.051754895597696304,
0.0634995549917221,
-0.006272629834711552,
0.047302357852458954,
0.04204706847667694,
-0.10683314502239227,
0.045550666749477386,
-0.005916752386838198,
-0.01571086421608925,
-0.01911160536110401,
-0.009543955326080322,
-0.037083644419908524,
0.006906059104949236,
0.00705365976318717,
0.03195084631443024,
-0.010564806871116161,
0.017188232392072678,
0.02732522040605545,
-0.027927618473768234,
-0.0551583506166935,
0.08442436903715134,
0.03979293256998062,
-0.02825690433382988,
0.10746986418962479,
0.07876183092594147,
-0.09368345141410828,
-0.03329246863722801,
-0.12351764738559723,
0.029178598895668983,
-0.0677461177110672,
-0.09580998867750168,
-0.0015302543761208653,
0.02156231738626957,
0.08026344329118729,
0.05821438878774643,
-0.04120495915412903,
0.005535841919481754,
0.032657440751791,
0.012538778595626354,
0.016419244930148125,
-0.03889743983745575,
0.04943208768963814,
-0.009638681076467037,
0.0042033446952700615,
0.014096055179834366,
0.0705600455403328,
-0.009105328470468521,
-0.0018346098950132728,
-0.039038121700286865,
-0.07632821798324585,
-0.043615080416202545,
-0.026053274050354958,
-0.021514784544706345,
-0.07730425894260406,
-0.06333781778812408,
0.015073197893798351,
0.0073928628116846085,
-0.09058026224374771,
0.05009756609797478,
-0.02609892375767231,
0.041920438408851624,
-0.019533274695277214,
0.024150453507900238,
0.04207824915647507,
0.05651713162660599,
-0.025777369737625122,
-0.03786439076066017,
0.027788283303380013,
-0.02773261070251465,
0.033111780881881714,
0.0017429640283808112,
0.01977750100195408,
0.01936718076467514,
-0.07071493566036224,
0.018212459981441498,
0.008730068802833557,
-0.03793158754706383,
0.06111197918653488,
-0.011594007723033428,
-0.013072045519948006,
0.0889415293931961,
-0.004561781417578459,
0.05833021551370621,
-4.726511093622321e-8,
0.03711218759417534,
0.05535513535141945,
0.008364642970263958,
-0.004218189977109432,
0.003134914441034198,
0.056502655148506165,
-0.07964526116847992,
0.015423002652823925,
0.012240948155522346,
-0.04879277944564819,
-0.0756189227104187,
-0.05541069060564041,
-0.0495154932141304,
0.001792710623703897,
-0.030284332111477852,
0.022002073004841805,
-0.008542204275727272,
-0.046198997646570206,
0.007326488383114338,
-0.016149865463376045,
-0.011800382286310196,
0.009182323701679707,
-0.07243795692920685,
-0.034250758588314056,
-0.04252113774418831,
-0.029469897970557213,
-0.01402402576059103,
0.0387936495244503,
0.0073543149046599865,
0.009698048233985901,
-0.09200563281774521,
-0.012611273676156998,
-0.05812739208340645,
0.027946198359131813,
-0.05392950028181076,
-0.0333624891936779,
0.01394538301974535,
0.0608702078461647,
0.032934632152318954,
-0.0494827963411808,
-0.01297819335013628,
-0.005185787566006184,
-0.028887202963232994,
-0.048386987298727036,
0.07387824356555939,
0.09971003234386444,
-0.02211347036063671,
0.01675024814903736,
-0.022502897307276726,
0.08732820302248001,
-0.04884231463074684,
0.09923720359802246,
0.008956579491496086,
0.05614469200372696,
0.0621626079082489,
-0.0070174140855669975,
-0.09967786073684692,
0.10078117996454239,
-0.00027144793421030045,
-0.018922895193099976,
-0.010237819515168667,
0.029748285189270973,
-0.017724355682730675,
-0.045489635318517685
] | null | null | null | null | null | null | null |
[
-0.027232881635427475,
-0.01339630875736475,
0.08334759622812271,
0.0095033785328269,
-0.011525575071573257,
-0.07605668902397156,
-0.06463027745485306,
-0.01604064181447029,
0.04251042753458023,
-0.11287125200033188,
-0.07592886686325073,
-0.03905879333615303,
0.0028238026425242424,
0.005552749149501324,
0.017502643167972565,
-0.07582638412714005,
-0.027123326435685158,
-0.013738513924181461,
-0.034708477556705475,
-0.002075793221592903,
0.09040507674217224,
0.05497660115361214,
-0.09606871753931046,
0.044760651886463165,
0.06704926490783691,
0.007631268817931414,
-0.0302167646586895,
-0.0016554490430280566,
0.018305107951164246,
0.04430235177278519,
0.028762483969330788,
-0.058708421885967255,
-0.1091090515255928,
0.011154877953231335,
0.010484055615961552,
-0.0212834645062685,
0.042704883962869644,
0.05859966203570366,
-0.025665486231446266,
0.0058808354660868645,
0.0010167491855099797,
-0.035691965371370316,
-0.002775777829810977,
0.022495854645967484,
0.16013438999652863,
0.026798052713274956,
0.08897898346185684,
-0.009548609144985676,
0.002708760555833578,
0.04435377195477486,
-0.01850208081305027,
-0.0005958646070212126,
-0.05103469640016556,
-0.01623544655740261,
-0.008315050043165684,
0.05735587328672409,
0.009249218739569187,
-0.00408512819558382,
-0.015388107858598232,
0.04482392221689224,
-0.0065339249558746815,
-0.01328874472528696,
0.000006833597581135109,
-0.00134234968572855,
0.0017561159329488873,
-0.029934635385870934,
0.032815538346767426,
0.04585594683885574,
0.009851209819316864,
-0.004553645849227905,
0.0024328494910150766,
0.01109339203685522,
-0.013841903768479824,
0.04805979132652283,
0.05503106489777565,
0.026853047311306,
-0.05097172409296036,
0.06724058091640472,
-0.07156150043010712,
0.058444637805223465,
0.11435142904520035,
0.02820529229938984,
-0.05644799396395683,
-0.0744885727763176,
-0.16662290692329407,
-0.030985699966549873,
0.06065068393945694,
-0.010153424926102161,
0.047234438359737396,
-0.025647040456533432,
-0.01558036170899868,
0.07822285592556,
0.002718005096539855,
0.062463752925395966,
0.15559543669223785,
-0.017412060871720314,
0.05589652061462402,
0.007806741166859865,
0.04354676604270935,
0.03740537539124489,
-0.04073962941765785,
-0.06323926150798798,
0.031052859500050545,
-0.02165372669696808,
0.1175423189997673,
0.0346418097615242,
0.05903193727135658,
0.04232911393046379,
-0.003743525827303529,
0.019494500011205673,
0.006742913741618395,
-0.06662710756063461,
0.031191350892186165,
-0.008297162130475044,
0.1196574941277504,
0.06434120237827301,
-0.07906036823987961,
-0.008508816361427307,
0.020488254725933075,
-0.042663704603910446,
0.014885295182466507,
-0.02856493555009365,
0.015299048274755478,
-0.050387561321258545,
0.01932618021965027,
0.019006093963980675,
-0.06070417910814285,
-3.6271678170346378e-34,
0.01757906749844551,
0.004770096857100725,
-0.052343133836984634,
0.15137888491153717,
0.050890304148197174,
-0.019625138491392136,
0.020637402310967445,
0.02081049233675003,
-0.026326077058911324,
0.04946402832865715,
0.020731693133711815,
0.011371903121471405,
-0.08861534297466278,
0.021725613623857498,
-0.0643540471792221,
-0.023224884644150734,
0.08530222624540329,
0.013411021791398525,
-0.03676874190568924,
-0.004647301975637674,
0.015025245025753975,
0.04386370629072189,
-0.05006985738873482,
-0.01588456518948078,
-0.00837139505892992,
0.06851422786712646,
-0.003255742136389017,
-0.012974655255675316,
0.014246083796024323,
0.02323807030916214,
-0.044398240745067596,
-0.0717863216996193,
-0.04567048326134682,
-0.00878622941672802,
0.03334251418709755,
0.05052211880683899,
0.014457029290497303,
0.03815723955631256,
-0.021287715062499046,
0.04369311407208443,
-0.0643923282623291,
-0.013819746673107147,
-0.01568797416985035,
0.04041463881731033,
-0.06347856670618057,
-0.03291904181241989,
-0.018416831269860268,
0.04045854136347771,
-0.01717725768685341,
-0.11924757808446884,
0.019704783335328102,
0.04634959250688553,
-0.04127445071935654,
0.06058502569794655,
0.031910307705402374,
0.013858494348824024,
0.09120035171508789,
-0.06270656734704971,
-0.08950761705636978,
-0.04561004042625427,
-0.06538042426109314,
-0.020937714725732803,
-0.0376676507294178,
-0.00814300961792469,
-0.04909590631723404,
0.051361989229917526,
-0.08866571635007858,
0.0401228629052639,
0.027732927352190018,
-0.09689272195100784,
-0.018337063491344452,
0.05552777647972107,
0.04562670364975929,
-0.0851794183254242,
0.015043677762150764,
-0.005042511969804764,
0.12696923315525055,
0.01279909722507,
-0.04168637841939926,
-0.002093646442517638,
-0.05189564824104309,
-0.007969525642693043,
-0.05524798482656479,
0.006696867756545544,
-0.05272681638598442,
-0.02520277537405491,
0.022734105587005615,
0.03716208040714264,
-0.04801364615559578,
-0.09979280084371567,
-0.09461971372365952,
0.030279317870736122,
0.20641477406024933,
-0.08672807365655899,
-0.010745507664978504,
-1.695220627268138e-33,
0.02204277366399765,
0.024065369740128517,
-0.04828329384326935,
0.053198374807834625,
0.01889142207801342,
0.028172241523861885,
0.13249164819717407,
0.012769397348165512,
-0.01382948737591505,
-0.11144223809242249,
-0.05663728713989258,
-0.02468053810298443,
0.051754895597696304,
0.0634995549917221,
-0.006272629834711552,
0.047302357852458954,
0.04204706847667694,
-0.10683314502239227,
0.045550666749477386,
-0.005916752386838198,
-0.01571086421608925,
-0.01911160536110401,
-0.009543955326080322,
-0.037083644419908524,
0.006906059104949236,
0.00705365976318717,
0.03195084631443024,
-0.010564806871116161,
0.017188232392072678,
0.02732522040605545,
-0.027927618473768234,
-0.0551583506166935,
0.08442436903715134,
0.03979293256998062,
-0.02825690433382988,
0.10746986418962479,
0.07876183092594147,
-0.09368345141410828,
-0.03329246863722801,
-0.12351764738559723,
0.029178598895668983,
-0.0677461177110672,
-0.09580998867750168,
-0.0015302543761208653,
0.02156231738626957,
0.08026344329118729,
0.05821438878774643,
-0.04120495915412903,
0.005535841919481754,
0.032657440751791,
0.012538778595626354,
0.016419244930148125,
-0.03889743983745575,
0.04943208768963814,
-0.009638681076467037,
0.0042033446952700615,
0.014096055179834366,
0.0705600455403328,
-0.009105328470468521,
-0.0018346098950132728,
-0.039038121700286865,
-0.07632821798324585,
-0.043615080416202545,
-0.026053274050354958,
-0.021514784544706345,
-0.07730425894260406,
-0.06333781778812408,
0.015073197893798351,
0.0073928628116846085,
-0.09058026224374771,
0.05009756609797478,
-0.02609892375767231,
0.041920438408851624,
-0.019533274695277214,
0.024150453507900238,
0.04207824915647507,
0.05651713162660599,
-0.025777369737625122,
-0.03786439076066017,
0.027788283303380013,
-0.02773261070251465,
0.033111780881881714,
0.0017429640283808112,
0.01977750100195408,
0.01936718076467514,
-0.07071493566036224,
0.018212459981441498,
0.008730068802833557,
-0.03793158754706383,
0.06111197918653488,
-0.011594007723033428,
-0.013072045519948006,
0.0889415293931961,
-0.004561781417578459,
0.05833021551370621,
-4.726511093622321e-8,
0.03711218759417534,
0.05535513535141945,
0.008364642970263958,
-0.004218189977109432,
0.003134914441034198,
0.056502655148506165,
-0.07964526116847992,
0.015423002652823925,
0.012240948155522346,
-0.04879277944564819,
-0.0756189227104187,
-0.05541069060564041,
-0.0495154932141304,
0.001792710623703897,
-0.030284332111477852,
0.022002073004841805,
-0.008542204275727272,
-0.046198997646570206,
0.007326488383114338,
-0.016149865463376045,
-0.011800382286310196,
0.009182323701679707,
-0.07243795692920685,
-0.034250758588314056,
-0.04252113774418831,
-0.029469897970557213,
-0.01402402576059103,
0.0387936495244503,
0.0073543149046599865,
0.009698048233985901,
-0.09200563281774521,
-0.012611273676156998,
-0.05812739208340645,
0.027946198359131813,
-0.05392950028181076,
-0.0333624891936779,
0.01394538301974535,
0.0608702078461647,
0.032934632152318954,
-0.0494827963411808,
-0.01297819335013628,
-0.005185787566006184,
-0.028887202963232994,
-0.048386987298727036,
0.07387824356555939,
0.09971003234386444,
-0.02211347036063671,
0.01675024814903736,
-0.022502897307276726,
0.08732820302248001,
-0.04884231463074684,
0.09923720359802246,
0.008956579491496086,
0.05614469200372696,
0.0621626079082489,
-0.0070174140855669975,
-0.09967786073684692,
0.10078117996454239,
-0.00027144793421030045,
-0.018922895193099976,
-0.010237819515168667,
0.029748285189270973,
-0.017724355682730675,
-0.045489635318517685
] |
1402.3107
|
Abdelhafid Zitouni
|
Zitouni Abdelhafid
|
Rigorous Description Of Design Components Functionality: An Approach
Based Contract
|
10pages, 7 figures
|
IJCSI : International Journal of Computer Science Issues, ISSN:
1694-0814, Vol. 9, Issue. 1, pp 187-196, January 2012
| null | null |
cs.SE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Current models for software components have made component-based software
engineering practical. However, these models are limited in the sense that
their support for the characterization/specification of design components
primarily deals with syntactic issues. To avoid mismatch and misuse of
components, more comprehensive specification of software components is
required, In this paper, we present a contract-based approach to analyze and
model the both aspects (functional and non-functional) properties of design
components and their composition in order to detect and correct composition
errors. This approach permits to characterize the structural, interface and
behavioural aspects of design component. To enable this we present a pattern
contract language that captures the structural and behavioral requirements
associated with a range of patterns, as well as the system properties that are
guaranteed as a result. In addition, we propose the use of the LOTOS language
as an ADL for formalizing these aspects. We illustrate the approach by applying
it to a standard design
|
[
{
"created": "Thu, 13 Feb 2014 12:25:34 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Abdelhafid",
"Zitouni",
""
]
] |
[
-0.0446908064186573,
0.058959249407052994,
-0.0011367917759343982,
-0.04919041693210602,
-0.028147973120212555,
-0.05521116405725479,
0.057530540972948074,
0.02480611763894558,
-0.029750170186161995,
-0.043554097414016724,
-0.07953866571187973,
-0.04429156333208084,
0.06719313561916351,
0.025501621887087822,
0.13218335807323456,
-0.0271771140396595,
0.06184582784771919,
0.00878069270402193,
0.011259601451456547,
0.05077214539051056,
0.06298290193080902,
0.09234245866537094,
-0.07664811611175537,
0.012257905676960945,
-0.07786405831575394,
0.05332142859697342,
0.031069213524460793,
-0.05057790130376816,
0.007407591212540865,
-0.0018847213359549642,
0.04233977198600769,
0.12536126375198364,
-0.005614030174911022,
0.03146078437566757,
0.020152462646365166,
0.05083097890019417,
0.034332871437072754,
-0.06214029714465141,
-0.09692941606044769,
-0.09050917625427246,
-0.053179364651441574,
0.0038326531648635864,
-0.01303226687014103,
0.02005433291196823,
0.003366274992004037,
-0.09840817004442215,
-0.04969752952456474,
-0.06678745150566101,
-0.05955458804965019,
-0.013527601957321167,
-0.06309957802295685,
-0.0296862181276083,
0.010267745703458786,
0.008253155276179314,
0.06595724076032639,
0.0901094600558281,
0.05663618445396423,
0.01953914202749729,
-0.028905540704727173,
-0.03201693296432495,
-0.032120488584041595,
0.025538969784975052,
-0.042135756462812424,
0.04038509353995323,
-0.027964835986495018,
0.05240902304649353,
-0.02087325230240822,
-0.026507668197155,
0.015879370272159576,
0.050939805805683136,
-0.12446875870227814,
-0.014019533060491085,
-0.005520984530448914,
0.059303537011146545,
-0.02474924363195896,
0.040135230869054794,
-0.05742437765002251,
0.009475292637944221,
0.005365216638892889,
-0.15292677283287048,
-0.07394593209028244,
0.01904565840959549,
-0.12205202877521515,
0.06684936583042145,
0.05001737177371979,
0.052522771060466766,
0.0557309165596962,
0.009614892303943634,
0.03459664061665535,
0.04251254349946976,
-0.016279544681310654,
-0.009129678830504417,
0.11147608608007431,
-0.031741201877593994,
0.027821658179163933,
0.043906837701797485,
0.035388536751270294,
-0.0904245600104332,
0.038054220378398895,
0.046822689473629,
-0.0224152784794569,
0.057219743728637695,
0.008838520385324955,
-0.014298198744654655,
-0.03056997060775757,
0.011901632882654667,
0.005207567475736141,
-0.01837022788822651,
0.02232525870203972,
-0.007671921513974667,
-0.05281738564372063,
-0.016492566093802452,
0.01592516526579857,
-0.089586541056633,
-0.017026498913764954,
-0.08740080893039703,
-0.027473516762256622,
-0.01900341920554638,
0.030455313622951508,
0.033459845930337906,
0.06684210151433945,
0.02132716216146946,
0.042671456933021545,
-0.020284080877900124,
0.07814419269561768,
-0.04096600413322449,
-0.006592422258108854,
-1.9569940356466456e-33,
0.010604740120470524,
-0.01653539389371872,
-0.07042018324136734,
0.0831778272986412,
0.07252098619937897,
-0.06816189736127853,
0.04291253536939621,
0.008177325129508972,
0.014860185794532299,
0.03814268857240677,
0.013392946682870388,
0.003498150734230876,
-0.1174888163805008,
0.07758042216300964,
0.08773629367351532,
0.059703316539525986,
0.019942661747336388,
0.0418148897588253,
-0.0057274759747087955,
-0.021156327798962593,
0.00503323320299387,
-0.010756231844425201,
-0.006425425875931978,
0.003930764272809029,
0.05005519092082977,
0.02938085049390793,
0.013549313880503178,
-0.01581670716404915,
-0.03028370812535286,
0.009482331573963165,
0.04482079669833183,
-0.0279846154153347,
0.12753111124038696,
0.05081944540143013,
-0.057486098259687424,
-0.006387841422110796,
-0.04167009890079498,
-0.03603942319750786,
0.03923969715833664,
-0.0022135574836283922,
-0.012090828269720078,
-0.03774653747677803,
-0.06744866818189621,
0.027879228815436363,
0.04463749751448631,
-0.014932399615645409,
0.029461130499839783,
0.05333354324102402,
0.042028702795505524,
-0.04743947088718414,
0.020917056128382683,
0.038663577288389206,
0.14406870305538177,
0.025311382487416267,
0.0008834052714519203,
-0.0439048670232296,
-0.03140673413872719,
0.045240405946969986,
0.018734557554125786,
0.11436592787504196,
-0.11064373701810837,
0.07607124000787735,
0.022142769768834114,
-0.008410205133259296,
-0.05695341154932976,
0.008468611165881157,
-0.003771682735532522,
-0.053717002272605896,
-0.04162699729204178,
-0.03710823506116867,
-0.01089202705770731,
0.02764873579144478,
-0.08515079319477081,
0.05004030093550682,
-0.01343618705868721,
-0.08608470112085342,
0.0017143768491223454,
-0.06832297891378403,
-0.04392842948436737,
-0.014016244560480118,
-0.04318884015083313,
0.04463835060596466,
0.05060666799545288,
0.08806706219911575,
0.016313282772898674,
-0.018636301159858704,
0.031707607209682465,
0.03165789321064949,
-0.06598711013793945,
-0.0436251126229763,
-0.016227399930357933,
-0.07328072935342789,
-0.006809149868786335,
-0.02183287777006626,
0.09634554386138916,
-1.7792084129374442e-33,
-0.031277503818273544,
-0.039336927235126495,
0.0527070015668869,
0.0018423927249386907,
-0.03986779600381851,
-0.10034788399934769,
-0.10776130110025406,
0.004657543729990721,
-0.024744363501667976,
0.08162316679954529,
0.034368470311164856,
-0.059094950556755066,
0.04353471100330353,
-0.022814393043518066,
-0.04642186686396599,
0.026565702632069588,
-0.063754141330719,
-0.10446153581142426,
0.04310085251927376,
0.055901311337947845,
0.020625079050660133,
0.055819425731897354,
-0.05998782068490982,
0.015852663666009903,
0.04855738952755928,
-0.027991043403744698,
-0.10268540680408478,
-0.005547469947487116,
-0.006216054316610098,
-0.011914806440472603,
0.04726031795144081,
-0.0060965754091739655,
0.011457210406661034,
-0.0745387077331543,
0.06628725677728653,
-0.09363103657960892,
0.022086502984166145,
0.030978050082921982,
-0.043681032955646515,
-0.04336921125650406,
0.031669095158576965,
-0.09416764229536057,
-0.003063146723434329,
0.01943102851510048,
0.028036274015903473,
-0.043257251381874084,
-0.042900316417217255,
-0.009574158117175102,
0.03113839589059353,
-0.06795671582221985,
0.014263428747653961,
-0.023733753710985184,
0.04561866819858551,
-0.05926947295665741,
0.04782579839229584,
0.008553302846848965,
0.020368244498968124,
-0.010162200778722763,
0.024365181103348732,
-0.03607612103223801,
0.016314875334501266,
-0.044351935386657715,
0.07041110098361969,
-0.008567256852984428,
0.04688986763358116,
-0.014067591167986393,
0.009532282128930092,
-0.029750540852546692,
-0.021103160455822945,
-0.025175806134939194,
0.06809234619140625,
-0.0479385182261467,
-0.10735853016376495,
0.06272543966770172,
0.03919880464673042,
-0.06756462901830673,
-0.003384942887350917,
-0.025604715570807457,
0.061005935072898865,
0.07155267149209976,
0.02047654055058956,
0.025973569601774216,
0.019935399293899536,
0.024606328457593918,
-0.08503499627113342,
0.009553532116115093,
-0.04416275396943092,
0.054285451769828796,
-0.010460025630891323,
0.03916199877858162,
-0.0767303928732872,
0.11101774126291275,
-0.04531612992286682,
0.056824591010808945,
-0.02985638938844204,
-4.604254399964702e-8,
-0.0807121992111206,
-0.08106885850429535,
-0.002984363818541169,
-0.03900191932916641,
-0.010818924754858017,
0.041205573827028275,
-0.028684565797448158,
-0.051181595772504807,
0.02842426858842373,
-0.03944498300552368,
0.012971177697181702,
0.005993166007101536,
-0.06405698508024216,
-0.03875894099473953,
-0.0284432340413332,
0.05916342884302139,
-0.017870141193270683,
0.031461481004953384,
-0.07151355594396591,
-0.025739893317222595,
0.013477282598614693,
0.0779724046587944,
0.03382301703095436,
-0.016173167154192924,
0.05991509556770325,
-0.07983839511871338,
0.06230936944484711,
0.0898192971944809,
0.06622068583965302,
0.06238214299082756,
0.014971255324780941,
-0.008523157797753811,
0.013046881183981895,
-0.016655556857585907,
-0.029135899618268013,
0.06657690554857254,
0.0344807505607605,
0.025029130280017853,
0.08721276372671127,
-0.03102465346455574,
0.022726094350218773,
0.009700236842036247,
-0.009153496474027634,
0.04742546007037163,
0.026603229343891144,
-0.03959551453590393,
-0.0363457016646862,
-0.06452614068984985,
-0.02580185793340206,
-0.08056042343378067,
-0.07453420758247375,
-0.01851522922515869,
-0.10642941296100616,
0.037884727120399475,
-0.07437320053577423,
-0.0023227413184940815,
-0.00152780138887465,
-0.026807846501469612,
0.12018198519945145,
-0.05875236541032791,
-0.040136583149433136,
0.07941441237926483,
0.09625426679849625,
0.00039275456219911575
] | null | null | null | null | null | null | null |
[
-0.0446908064186573,
0.058959249407052994,
-0.0011367917759343982,
-0.04919041693210602,
-0.028147973120212555,
-0.05521116405725479,
0.057530540972948074,
0.02480611763894558,
-0.029750170186161995,
-0.043554097414016724,
-0.07953866571187973,
-0.04429156333208084,
0.06719313561916351,
0.025501621887087822,
0.13218335807323456,
-0.0271771140396595,
0.06184582784771919,
0.00878069270402193,
0.011259601451456547,
0.05077214539051056,
0.06298290193080902,
0.09234245866537094,
-0.07664811611175537,
0.012257905676960945,
-0.07786405831575394,
0.05332142859697342,
0.031069213524460793,
-0.05057790130376816,
0.007407591212540865,
-0.0018847213359549642,
0.04233977198600769,
0.12536126375198364,
-0.005614030174911022,
0.03146078437566757,
0.020152462646365166,
0.05083097890019417,
0.034332871437072754,
-0.06214029714465141,
-0.09692941606044769,
-0.09050917625427246,
-0.053179364651441574,
0.0038326531648635864,
-0.01303226687014103,
0.02005433291196823,
0.003366274992004037,
-0.09840817004442215,
-0.04969752952456474,
-0.06678745150566101,
-0.05955458804965019,
-0.013527601957321167,
-0.06309957802295685,
-0.0296862181276083,
0.010267745703458786,
0.008253155276179314,
0.06595724076032639,
0.0901094600558281,
0.05663618445396423,
0.01953914202749729,
-0.028905540704727173,
-0.03201693296432495,
-0.032120488584041595,
0.025538969784975052,
-0.042135756462812424,
0.04038509353995323,
-0.027964835986495018,
0.05240902304649353,
-0.02087325230240822,
-0.026507668197155,
0.015879370272159576,
0.050939805805683136,
-0.12446875870227814,
-0.014019533060491085,
-0.005520984530448914,
0.059303537011146545,
-0.02474924363195896,
0.040135230869054794,
-0.05742437765002251,
0.009475292637944221,
0.005365216638892889,
-0.15292677283287048,
-0.07394593209028244,
0.01904565840959549,
-0.12205202877521515,
0.06684936583042145,
0.05001737177371979,
0.052522771060466766,
0.0557309165596962,
0.009614892303943634,
0.03459664061665535,
0.04251254349946976,
-0.016279544681310654,
-0.009129678830504417,
0.11147608608007431,
-0.031741201877593994,
0.027821658179163933,
0.043906837701797485,
0.035388536751270294,
-0.0904245600104332,
0.038054220378398895,
0.046822689473629,
-0.0224152784794569,
0.057219743728637695,
0.008838520385324955,
-0.014298198744654655,
-0.03056997060775757,
0.011901632882654667,
0.005207567475736141,
-0.01837022788822651,
0.02232525870203972,
-0.007671921513974667,
-0.05281738564372063,
-0.016492566093802452,
0.01592516526579857,
-0.089586541056633,
-0.017026498913764954,
-0.08740080893039703,
-0.027473516762256622,
-0.01900341920554638,
0.030455313622951508,
0.033459845930337906,
0.06684210151433945,
0.02132716216146946,
0.042671456933021545,
-0.020284080877900124,
0.07814419269561768,
-0.04096600413322449,
-0.006592422258108854,
-1.9569940356466456e-33,
0.010604740120470524,
-0.01653539389371872,
-0.07042018324136734,
0.0831778272986412,
0.07252098619937897,
-0.06816189736127853,
0.04291253536939621,
0.008177325129508972,
0.014860185794532299,
0.03814268857240677,
0.013392946682870388,
0.003498150734230876,
-0.1174888163805008,
0.07758042216300964,
0.08773629367351532,
0.059703316539525986,
0.019942661747336388,
0.0418148897588253,
-0.0057274759747087955,
-0.021156327798962593,
0.00503323320299387,
-0.010756231844425201,
-0.006425425875931978,
0.003930764272809029,
0.05005519092082977,
0.02938085049390793,
0.013549313880503178,
-0.01581670716404915,
-0.03028370812535286,
0.009482331573963165,
0.04482079669833183,
-0.0279846154153347,
0.12753111124038696,
0.05081944540143013,
-0.057486098259687424,
-0.006387841422110796,
-0.04167009890079498,
-0.03603942319750786,
0.03923969715833664,
-0.0022135574836283922,
-0.012090828269720078,
-0.03774653747677803,
-0.06744866818189621,
0.027879228815436363,
0.04463749751448631,
-0.014932399615645409,
0.029461130499839783,
0.05333354324102402,
0.042028702795505524,
-0.04743947088718414,
0.020917056128382683,
0.038663577288389206,
0.14406870305538177,
0.025311382487416267,
0.0008834052714519203,
-0.0439048670232296,
-0.03140673413872719,
0.045240405946969986,
0.018734557554125786,
0.11436592787504196,
-0.11064373701810837,
0.07607124000787735,
0.022142769768834114,
-0.008410205133259296,
-0.05695341154932976,
0.008468611165881157,
-0.003771682735532522,
-0.053717002272605896,
-0.04162699729204178,
-0.03710823506116867,
-0.01089202705770731,
0.02764873579144478,
-0.08515079319477081,
0.05004030093550682,
-0.01343618705868721,
-0.08608470112085342,
0.0017143768491223454,
-0.06832297891378403,
-0.04392842948436737,
-0.014016244560480118,
-0.04318884015083313,
0.04463835060596466,
0.05060666799545288,
0.08806706219911575,
0.016313282772898674,
-0.018636301159858704,
0.031707607209682465,
0.03165789321064949,
-0.06598711013793945,
-0.0436251126229763,
-0.016227399930357933,
-0.07328072935342789,
-0.006809149868786335,
-0.02183287777006626,
0.09634554386138916,
-1.7792084129374442e-33,
-0.031277503818273544,
-0.039336927235126495,
0.0527070015668869,
0.0018423927249386907,
-0.03986779600381851,
-0.10034788399934769,
-0.10776130110025406,
0.004657543729990721,
-0.024744363501667976,
0.08162316679954529,
0.034368470311164856,
-0.059094950556755066,
0.04353471100330353,
-0.022814393043518066,
-0.04642186686396599,
0.026565702632069588,
-0.063754141330719,
-0.10446153581142426,
0.04310085251927376,
0.055901311337947845,
0.020625079050660133,
0.055819425731897354,
-0.05998782068490982,
0.015852663666009903,
0.04855738952755928,
-0.027991043403744698,
-0.10268540680408478,
-0.005547469947487116,
-0.006216054316610098,
-0.011914806440472603,
0.04726031795144081,
-0.0060965754091739655,
0.011457210406661034,
-0.0745387077331543,
0.06628725677728653,
-0.09363103657960892,
0.022086502984166145,
0.030978050082921982,
-0.043681032955646515,
-0.04336921125650406,
0.031669095158576965,
-0.09416764229536057,
-0.003063146723434329,
0.01943102851510048,
0.028036274015903473,
-0.043257251381874084,
-0.042900316417217255,
-0.009574158117175102,
0.03113839589059353,
-0.06795671582221985,
0.014263428747653961,
-0.023733753710985184,
0.04561866819858551,
-0.05926947295665741,
0.04782579839229584,
0.008553302846848965,
0.020368244498968124,
-0.010162200778722763,
0.024365181103348732,
-0.03607612103223801,
0.016314875334501266,
-0.044351935386657715,
0.07041110098361969,
-0.008567256852984428,
0.04688986763358116,
-0.014067591167986393,
0.009532282128930092,
-0.029750540852546692,
-0.021103160455822945,
-0.025175806134939194,
0.06809234619140625,
-0.0479385182261467,
-0.10735853016376495,
0.06272543966770172,
0.03919880464673042,
-0.06756462901830673,
-0.003384942887350917,
-0.025604715570807457,
0.061005935072898865,
0.07155267149209976,
0.02047654055058956,
0.025973569601774216,
0.019935399293899536,
0.024606328457593918,
-0.08503499627113342,
0.009553532116115093,
-0.04416275396943092,
0.054285451769828796,
-0.010460025630891323,
0.03916199877858162,
-0.0767303928732872,
0.11101774126291275,
-0.04531612992286682,
0.056824591010808945,
-0.02985638938844204,
-4.604254399964702e-8,
-0.0807121992111206,
-0.08106885850429535,
-0.002984363818541169,
-0.03900191932916641,
-0.010818924754858017,
0.041205573827028275,
-0.028684565797448158,
-0.051181595772504807,
0.02842426858842373,
-0.03944498300552368,
0.012971177697181702,
0.005993166007101536,
-0.06405698508024216,
-0.03875894099473953,
-0.0284432340413332,
0.05916342884302139,
-0.017870141193270683,
0.031461481004953384,
-0.07151355594396591,
-0.025739893317222595,
0.013477282598614693,
0.0779724046587944,
0.03382301703095436,
-0.016173167154192924,
0.05991509556770325,
-0.07983839511871338,
0.06230936944484711,
0.0898192971944809,
0.06622068583965302,
0.06238214299082756,
0.014971255324780941,
-0.008523157797753811,
0.013046881183981895,
-0.016655556857585907,
-0.029135899618268013,
0.06657690554857254,
0.0344807505607605,
0.025029130280017853,
0.08721276372671127,
-0.03102465346455574,
0.022726094350218773,
0.009700236842036247,
-0.009153496474027634,
0.04742546007037163,
0.026603229343891144,
-0.03959551453590393,
-0.0363457016646862,
-0.06452614068984985,
-0.02580185793340206,
-0.08056042343378067,
-0.07453420758247375,
-0.01851522922515869,
-0.10642941296100616,
0.037884727120399475,
-0.07437320053577423,
-0.0023227413184940815,
-0.00152780138887465,
-0.026807846501469612,
0.12018198519945145,
-0.05875236541032791,
-0.040136583149433136,
0.07941441237926483,
0.09625426679849625,
0.00039275456219911575
] |
1402.3117
|
Michael Sarrazin
|
Aline Emplit, Jian Xiang Lian, Isabelle Huynen, Alexandru Vlad,
Michael Sarrazin
|
Colloidal pattern replication through contact photolithography operated
in a "Talbot-Fabry-Perot" regime
|
12 pages, 7 figures, 1 table. Published in Nanotechnology
|
Nanotechnology 25 (2014) 145303
|
10.1088/0957-4484/25/14/145303
| null |
physics.optics cond-mat.mes-hall cond-mat.mtrl-sci
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We detail on a continuous colloidal pattern replication by using contact
photolithography. Chrome on quartz masks are fabricated using colloidal
nanosphere lithography and subsequently used as photolithography stamps.
Hexagonal pattern arrangements with different dimensions (980, 620 and 480 nm,
using colloidal particles with respective diameters) have been studied. When
the mask and the imaged resist layer were in intimate contact, a high fidelity
pattern replica was obtained after photolithography exposure and processing. In
turn, the presence of an air-gap in between has been found to affect the
projected image onto the photoresist layer, strongly dependent on the mask
feature size and air-gap height. Pattern replication, inversion and
hybridization was achieved for 980 nm-period mask; no hybridization for the 620
nm; and only pattern replication for the 480 nm. These results are interpreted
in the framework of a "Talbot-Fabry-Perot" effect. Numerical simulations
corroborate with the experimental findings providing insight into the involved
processes highlighting the important parameters affecting the exposure pattern.
The approach allows complex subwavelength patterning and is relevant for a 3D
layer-by-layer printing.
|
[
{
"created": "Thu, 13 Feb 2014 13:07:46 GMT",
"version": "v1"
}
] |
2014-03-18
|
[
[
"Emplit",
"Aline",
""
],
[
"Lian",
"Jian Xiang",
""
],
[
"Huynen",
"Isabelle",
""
],
[
"Vlad",
"Alexandru",
""
],
[
"Sarrazin",
"Michael",
""
]
] |
[
-0.06023930013179779,
-0.01337506901472807,
0.02600938454270363,
-0.01440150011330843,
0.011678744107484818,
-0.08499736338853836,
-0.0020583311561495066,
0.0011208554496988654,
-0.06235288083553314,
-0.03037688508629799,
-0.02431218884885311,
0.015924060717225075,
0.03700956702232361,
-0.03506320342421532,
0.06689974665641785,
0.04661112278699875,
-0.0052574132569134235,
0.03807029500603676,
0.03642881289124489,
-0.014575695618987083,
0.041301179677248,
-0.07961522042751312,
-0.04868617653846741,
-0.0784241259098053,
-0.0771716982126236,
0.0446205697953701,
0.04801902547478676,
-0.041329264640808105,
0.0028268410824239254,
0.029651420190930367,
0.024521179497241974,
-0.0015331972390413284,
0.014164404943585396,
-0.0205848291516304,
0.03903833031654358,
-0.07332541793584824,
-0.02189062535762787,
0.08841162919998169,
-0.07485079765319824,
-0.034673646092414856,
-0.030737241730093956,
0.0464291088283062,
-0.09833923727273941,
-0.0063398596830666065,
-0.038388464599847794,
-0.014185893349349499,
0.03975120186805725,
0.07900000363588333,
-0.07175446301698685,
-0.06025667488574982,
-0.007046542130410671,
-0.028101028874516487,
-0.01673586294054985,
-0.0001067464763764292,
0.03486797586083412,
0.043944671750068665,
-0.045072510838508606,
0.002139491029083729,
0.09353991597890854,
-0.053882550448179245,
-0.008117543533444405,
-0.00588551489636302,
-0.036214809864759445,
-0.04029054939746857,
0.0718836560845375,
0.029725361615419388,
-0.018847214058041573,
-0.05841682851314545,
0.10617811977863312,
0.05888908728957176,
0.01785280741751194,
0.05441208928823471,
-0.019008919596672058,
0.0191575326025486,
-0.004567780997604132,
0.03303522244095802,
-0.010306090116500854,
0.02337918058037758,
0.026666419580578804,
0.06384110450744629,
0.008656059391796589,
0.007893642410635948,
0.08952939510345459,
0.029165390878915787,
-0.013108666054904461,
0.0003328700258862227,
0.0610838383436203,
0.018745191395282745,
-0.06604557484388351,
-0.06284431368112564,
-0.05808147415518761,
0.018031926825642586,
-0.11680880188941956,
-0.11785084754228592,
-0.05190008133649826,
-0.04144947975873947,
0.01838056556880474,
0.010825568810105324,
0.04190405458211899,
-0.012815555557608604,
0.03694849833846092,
-0.10589559376239777,
-0.020871983841061592,
-0.015563665889203548,
0.07428907603025436,
-0.03755264729261398,
-0.02137802541255951,
0.0070974212139844894,
-0.051289547234773636,
0.06655361503362656,
0.030292874202132225,
0.087891586124897,
-0.0073324996046721935,
0.04284276068210602,
0.04243948683142662,
-0.005675563123077154,
-0.004401409532874823,
0.010542253963649273,
0.0064694685861468315,
0.06841359287500381,
-0.007606561295688152,
0.08368977904319763,
-0.08423954993486404,
-0.018103431910276413,
-0.01768479123711586,
0.032076671719551086,
0.019058074802160263,
9.439782588694417e-34,
0.03928516060113907,
0.08595708757638931,
-0.016596747562289238,
-0.01998518593609333,
0.03773875534534454,
-0.06098876893520355,
0.06474179774522781,
0.049594584852457047,
-0.016866205260157585,
0.08728370070457458,
0.0064782206900417805,
-0.003052238142117858,
-0.014113268814980984,
0.09250061213970184,
0.02202320471405983,
0.010603038594126701,
0.08385927230119705,
-0.021165719255805016,
-0.046741314232349396,
0.0033698740880936384,
-0.028368324041366577,
-0.025079067796468735,
0.009632107801735401,
0.028871435672044754,
-0.04000893235206604,
0.04123368486762047,
-0.03343595191836357,
-0.06986822187900543,
0.003324903082102537,
0.0169625636190176,
0.035045940428972244,
0.07296282052993774,
0.05791439861059189,
0.03314537927508354,
0.016928013414144516,
0.08283573389053345,
0.07190205901861191,
-0.10003481060266495,
-0.021828657016158104,
0.0062332758679986,
-0.029786530882120132,
0.03259992226958275,
0.04707280546426773,
0.01750900037586689,
0.037959396839141846,
-0.046025633811950684,
-0.003968893084675074,
-0.029430890455842018,
0.010655171237885952,
-0.010806141421198845,
-0.03911736607551575,
-0.03272273764014244,
0.027173683047294617,
-0.045205578207969666,
0.025158125907182693,
-0.05382177606225014,
-0.006961544509977102,
-0.11614605784416199,
0.012449216097593307,
0.005408241879194975,
0.015445289202034473,
-0.06637971848249435,
-0.006058983504772186,
0.15743087232112885,
-0.016756776720285416,
0.0606207512319088,
0.04185811057686806,
0.041546694934368134,
-0.07290694862604141,
0.028508901596069336,
0.05326281487941742,
-0.0008808597922325134,
-0.01565738022327423,
-0.0513705313205719,
0.020819008350372314,
0.06956667453050613,
0.04136194288730621,
-0.04752666503190994,
-0.00859851110726595,
0.04944676160812378,
-0.09113036841154099,
0.0594458132982254,
-0.13673576712608337,
-0.1703474521636963,
-0.12476816773414612,
0.03642524406313896,
0.0525701642036438,
0.09803485125303268,
-0.02963772788643837,
-0.04095465689897537,
0.09256593883037567,
-0.05387067422270775,
0.06901026517152786,
0.00492516066879034,
-0.05379662662744522,
-1.7109098034317692e-33,
-0.04974875599145889,
-0.018360450863838196,
-0.0168717373162508,
-0.05597827211022377,
0.022315409034490585,
0.04492917284369469,
0.028109250590205193,
0.0620713047683239,
0.009174159727990627,
0.03407208248972893,
-0.09257005155086517,
-0.06260742992162704,
-0.0009875549003481865,
0.0534360408782959,
-0.14120137691497803,
0.004074943717569113,
-0.031759120523929596,
-0.06805851310491562,
0.06238449364900589,
-0.062451839447021484,
-0.04627016559243202,
0.007834333926439285,
0.05301995202898979,
0.04779782518744469,
-0.025521984323859215,
0.011379621922969818,
0.057579558342695236,
-0.003937989939004183,
0.04059385135769844,
0.036086417734622955,
-0.031182589009404182,
0.060227371752262115,
0.1238897293806076,
0.015248061157763004,
0.07575950771570206,
0.012655558995902538,
0.009859416633844376,
0.01796191744506359,
0.054336387664079666,
-0.07245446741580963,
-0.06589130312204361,
-0.09377368539571762,
-0.06699936836957932,
-0.009657922200858593,
0.035026032477617264,
-0.0012929869117215276,
-0.0033520262222737074,
-0.0201970674097538,
0.04035080224275589,
-0.029117438942193985,
-0.025544127449393272,
-0.00856559444218874,
-0.030246226117014885,
0.03174953535199165,
-0.0005594930262304842,
0.05570729449391365,
-0.05639572814106941,
0.006459137890487909,
0.04206068813800812,
0.0022402482572942972,
0.042768482118844986,
-0.03452415019273758,
0.04112069308757782,
0.003150342032313347,
0.04459438472986221,
0.07013878226280212,
0.040233369916677475,
0.06039189174771309,
-0.015124008059501648,
0.03429379686713219,
-0.05461077019572258,
-0.01258518174290657,
0.1191917359828949,
0.030013466253876686,
0.02970496006309986,
-0.07513083517551422,
0.03539067134261131,
0.009533912874758244,
-0.052757468074560165,
0.10274256765842438,
-0.10767136514186859,
0.006362851243466139,
-0.056167397648096085,
0.055803827941417694,
0.014761370606720448,
0.019071580842137337,
-0.006093183532357216,
-0.0024694891180843115,
-0.06996022909879684,
0.021942729130387306,
0.019724680110812187,
0.05776577815413475,
0.026995042338967323,
-0.05711977928876877,
0.07617390155792236,
-4.7527930036039834e-8,
0.1305558830499649,
-0.0006263037794269621,
0.06616353988647461,
-0.08900827169418335,
0.009389831684529781,
0.030694810673594475,
0.07255374640226364,
-0.0809721127152443,
-0.04843590408563614,
-0.02496553398668766,
-0.06545477360486984,
-0.016419367864727974,
0.021309515461325645,
-0.04017883911728859,
0.04954018443822861,
0.05997401475906372,
0.020212292671203613,
-0.10876775532960892,
-0.010543215088546276,
-0.025964517146348953,
-0.11854230612516403,
0.03226339444518089,
0.045537594705820084,
-0.06916242837905884,
-0.09159163385629654,
0.057498469948768616,
0.02637997269630432,
-0.00714191235601902,
-0.05369839444756508,
0.02183034084737301,
-0.03358806297183037,
0.020631682127714157,
-0.0064097559079527855,
0.06388150900602341,
-0.07536222785711288,
-0.04168212041258812,
0.05605853721499443,
-0.026558352634310722,
-0.06750033050775528,
-0.05902201682329178,
-0.002692605135962367,
-0.040078580379486084,
0.0442458875477314,
0.0018601854098960757,
0.05542301759123802,
-0.00006193482840899378,
0.07196825742721558,
0.012548212893307209,
-0.038743600249290466,
0.07175524532794952,
-0.06761062145233154,
-0.017766593024134636,
0.019161449745297432,
0.024266095831990242,
0.01864040456712246,
-0.03608081117272377,
-0.07002513110637665,
-0.03594789281487465,
0.03904462605714798,
-0.015579896047711372,
0.05416718125343323,
-0.04003574699163437,
0.0012536675203591585,
0.0004977645585313439
] | null | null | null | null | null | null | null |
[
-0.06023930013179779,
-0.01337506901472807,
0.02600938454270363,
-0.01440150011330843,
0.011678744107484818,
-0.08499736338853836,
-0.0020583311561495066,
0.0011208554496988654,
-0.06235288083553314,
-0.03037688508629799,
-0.02431218884885311,
0.015924060717225075,
0.03700956702232361,
-0.03506320342421532,
0.06689974665641785,
0.04661112278699875,
-0.0052574132569134235,
0.03807029500603676,
0.03642881289124489,
-0.014575695618987083,
0.041301179677248,
-0.07961522042751312,
-0.04868617653846741,
-0.0784241259098053,
-0.0771716982126236,
0.0446205697953701,
0.04801902547478676,
-0.041329264640808105,
0.0028268410824239254,
0.029651420190930367,
0.024521179497241974,
-0.0015331972390413284,
0.014164404943585396,
-0.0205848291516304,
0.03903833031654358,
-0.07332541793584824,
-0.02189062535762787,
0.08841162919998169,
-0.07485079765319824,
-0.034673646092414856,
-0.030737241730093956,
0.0464291088283062,
-0.09833923727273941,
-0.0063398596830666065,
-0.038388464599847794,
-0.014185893349349499,
0.03975120186805725,
0.07900000363588333,
-0.07175446301698685,
-0.06025667488574982,
-0.007046542130410671,
-0.028101028874516487,
-0.01673586294054985,
-0.0001067464763764292,
0.03486797586083412,
0.043944671750068665,
-0.045072510838508606,
0.002139491029083729,
0.09353991597890854,
-0.053882550448179245,
-0.008117543533444405,
-0.00588551489636302,
-0.036214809864759445,
-0.04029054939746857,
0.0718836560845375,
0.029725361615419388,
-0.018847214058041573,
-0.05841682851314545,
0.10617811977863312,
0.05888908728957176,
0.01785280741751194,
0.05441208928823471,
-0.019008919596672058,
0.0191575326025486,
-0.004567780997604132,
0.03303522244095802,
-0.010306090116500854,
0.02337918058037758,
0.026666419580578804,
0.06384110450744629,
0.008656059391796589,
0.007893642410635948,
0.08952939510345459,
0.029165390878915787,
-0.013108666054904461,
0.0003328700258862227,
0.0610838383436203,
0.018745191395282745,
-0.06604557484388351,
-0.06284431368112564,
-0.05808147415518761,
0.018031926825642586,
-0.11680880188941956,
-0.11785084754228592,
-0.05190008133649826,
-0.04144947975873947,
0.01838056556880474,
0.010825568810105324,
0.04190405458211899,
-0.012815555557608604,
0.03694849833846092,
-0.10589559376239777,
-0.020871983841061592,
-0.015563665889203548,
0.07428907603025436,
-0.03755264729261398,
-0.02137802541255951,
0.0070974212139844894,
-0.051289547234773636,
0.06655361503362656,
0.030292874202132225,
0.087891586124897,
-0.0073324996046721935,
0.04284276068210602,
0.04243948683142662,
-0.005675563123077154,
-0.004401409532874823,
0.010542253963649273,
0.0064694685861468315,
0.06841359287500381,
-0.007606561295688152,
0.08368977904319763,
-0.08423954993486404,
-0.018103431910276413,
-0.01768479123711586,
0.032076671719551086,
0.019058074802160263,
9.439782588694417e-34,
0.03928516060113907,
0.08595708757638931,
-0.016596747562289238,
-0.01998518593609333,
0.03773875534534454,
-0.06098876893520355,
0.06474179774522781,
0.049594584852457047,
-0.016866205260157585,
0.08728370070457458,
0.0064782206900417805,
-0.003052238142117858,
-0.014113268814980984,
0.09250061213970184,
0.02202320471405983,
0.010603038594126701,
0.08385927230119705,
-0.021165719255805016,
-0.046741314232349396,
0.0033698740880936384,
-0.028368324041366577,
-0.025079067796468735,
0.009632107801735401,
0.028871435672044754,
-0.04000893235206604,
0.04123368486762047,
-0.03343595191836357,
-0.06986822187900543,
0.003324903082102537,
0.0169625636190176,
0.035045940428972244,
0.07296282052993774,
0.05791439861059189,
0.03314537927508354,
0.016928013414144516,
0.08283573389053345,
0.07190205901861191,
-0.10003481060266495,
-0.021828657016158104,
0.0062332758679986,
-0.029786530882120132,
0.03259992226958275,
0.04707280546426773,
0.01750900037586689,
0.037959396839141846,
-0.046025633811950684,
-0.003968893084675074,
-0.029430890455842018,
0.010655171237885952,
-0.010806141421198845,
-0.03911736607551575,
-0.03272273764014244,
0.027173683047294617,
-0.045205578207969666,
0.025158125907182693,
-0.05382177606225014,
-0.006961544509977102,
-0.11614605784416199,
0.012449216097593307,
0.005408241879194975,
0.015445289202034473,
-0.06637971848249435,
-0.006058983504772186,
0.15743087232112885,
-0.016756776720285416,
0.0606207512319088,
0.04185811057686806,
0.041546694934368134,
-0.07290694862604141,
0.028508901596069336,
0.05326281487941742,
-0.0008808597922325134,
-0.01565738022327423,
-0.0513705313205719,
0.020819008350372314,
0.06956667453050613,
0.04136194288730621,
-0.04752666503190994,
-0.00859851110726595,
0.04944676160812378,
-0.09113036841154099,
0.0594458132982254,
-0.13673576712608337,
-0.1703474521636963,
-0.12476816773414612,
0.03642524406313896,
0.0525701642036438,
0.09803485125303268,
-0.02963772788643837,
-0.04095465689897537,
0.09256593883037567,
-0.05387067422270775,
0.06901026517152786,
0.00492516066879034,
-0.05379662662744522,
-1.7109098034317692e-33,
-0.04974875599145889,
-0.018360450863838196,
-0.0168717373162508,
-0.05597827211022377,
0.022315409034490585,
0.04492917284369469,
0.028109250590205193,
0.0620713047683239,
0.009174159727990627,
0.03407208248972893,
-0.09257005155086517,
-0.06260742992162704,
-0.0009875549003481865,
0.0534360408782959,
-0.14120137691497803,
0.004074943717569113,
-0.031759120523929596,
-0.06805851310491562,
0.06238449364900589,
-0.062451839447021484,
-0.04627016559243202,
0.007834333926439285,
0.05301995202898979,
0.04779782518744469,
-0.025521984323859215,
0.011379621922969818,
0.057579558342695236,
-0.003937989939004183,
0.04059385135769844,
0.036086417734622955,
-0.031182589009404182,
0.060227371752262115,
0.1238897293806076,
0.015248061157763004,
0.07575950771570206,
0.012655558995902538,
0.009859416633844376,
0.01796191744506359,
0.054336387664079666,
-0.07245446741580963,
-0.06589130312204361,
-0.09377368539571762,
-0.06699936836957932,
-0.009657922200858593,
0.035026032477617264,
-0.0012929869117215276,
-0.0033520262222737074,
-0.0201970674097538,
0.04035080224275589,
-0.029117438942193985,
-0.025544127449393272,
-0.00856559444218874,
-0.030246226117014885,
0.03174953535199165,
-0.0005594930262304842,
0.05570729449391365,
-0.05639572814106941,
0.006459137890487909,
0.04206068813800812,
0.0022402482572942972,
0.042768482118844986,
-0.03452415019273758,
0.04112069308757782,
0.003150342032313347,
0.04459438472986221,
0.07013878226280212,
0.040233369916677475,
0.06039189174771309,
-0.015124008059501648,
0.03429379686713219,
-0.05461077019572258,
-0.01258518174290657,
0.1191917359828949,
0.030013466253876686,
0.02970496006309986,
-0.07513083517551422,
0.03539067134261131,
0.009533912874758244,
-0.052757468074560165,
0.10274256765842438,
-0.10767136514186859,
0.006362851243466139,
-0.056167397648096085,
0.055803827941417694,
0.014761370606720448,
0.019071580842137337,
-0.006093183532357216,
-0.0024694891180843115,
-0.06996022909879684,
0.021942729130387306,
0.019724680110812187,
0.05776577815413475,
0.026995042338967323,
-0.05711977928876877,
0.07617390155792236,
-4.7527930036039834e-8,
0.1305558830499649,
-0.0006263037794269621,
0.06616353988647461,
-0.08900827169418335,
0.009389831684529781,
0.030694810673594475,
0.07255374640226364,
-0.0809721127152443,
-0.04843590408563614,
-0.02496553398668766,
-0.06545477360486984,
-0.016419367864727974,
0.021309515461325645,
-0.04017883911728859,
0.04954018443822861,
0.05997401475906372,
0.020212292671203613,
-0.10876775532960892,
-0.010543215088546276,
-0.025964517146348953,
-0.11854230612516403,
0.03226339444518089,
0.045537594705820084,
-0.06916242837905884,
-0.09159163385629654,
0.057498469948768616,
0.02637997269630432,
-0.00714191235601902,
-0.05369839444756508,
0.02183034084737301,
-0.03358806297183037,
0.020631682127714157,
-0.0064097559079527855,
0.06388150900602341,
-0.07536222785711288,
-0.04168212041258812,
0.05605853721499443,
-0.026558352634310722,
-0.06750033050775528,
-0.05902201682329178,
-0.002692605135962367,
-0.040078580379486084,
0.0442458875477314,
0.0018601854098960757,
0.05542301759123802,
-0.00006193482840899378,
0.07196825742721558,
0.012548212893307209,
-0.038743600249290466,
0.07175524532794952,
-0.06761062145233154,
-0.017766593024134636,
0.019161449745297432,
0.024266095831990242,
0.01864040456712246,
-0.03608081117272377,
-0.07002513110637665,
-0.03594789281487465,
0.03904462605714798,
-0.015579896047711372,
0.05416718125343323,
-0.04003574699163437,
0.0012536675203591585,
0.0004977645585313439
] |
1402.3119
|
Vasilis Ntranos
|
Vasilis Ntranos, Mohammad Ali Maddah-Ali, Giuseppe Caire
|
Cellular Interference Alignment
| null | null | null | null |
cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Interference alignment promises that, in Gaussian interference channels, each
link can support half of a degree of freedom (DoF) per pair of transmit-receive
antennas. However, in general, this result requires to precode the data bearing
signals over a signal space of asymptotically large diversity, e.g., over an
infinite number of dimensions for time-frequency varying fading channels, or
over an infinite number of rationally independent signal levels, in the case of
time-frequency invariant channels. In this work we consider a wireless cellular
system scenario where the promised optimal DoFs are achieved with linear
precoding in one-shot (i.e., over a single time-frequency slot). We focus on
the uplink of a symmetric cellular system, where each cell is split into three
sectors with orthogonal intra-sector multiple access. In our model,
interference is "local", i.e., it is due to transmitters in neighboring cells
only. We consider a message-passing backhaul network architecture, in which
nearby sectors can exchange already decoded messages and propose an alignment
solution that can achieve the optimal DoFs. To avoid signaling schemes relying
on the strength of interference, we further introduce the notion of
\emph{topologically robust} schemes, which are able to guarantee a minimum rate
(or DoFs) irrespectively of the strength of the interfering links. Towards this
end, we design an alignment scheme which is topologically robust and still
achieves the same optimum DoFs.
|
[
{
"created": "Thu, 13 Feb 2014 13:10:05 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Ntranos",
"Vasilis",
""
],
[
"Maddah-Ali",
"Mohammad Ali",
""
],
[
"Caire",
"Giuseppe",
""
]
] |
[
-0.029569612815976143,
-0.021128566935658455,
0.003460746956989169,
-0.035858869552612305,
0.0016396435676142573,
-0.02665984258055687,
0.05812239646911621,
-0.056138716638088226,
0.10572494566440582,
-0.02308502607047558,
0.03329413756728172,
0.08197937905788422,
0.06712392717599869,
0.0003372497740201652,
-0.014150440692901611,
-0.0019017604645341635,
0.12824644148349762,
0.036905743181705475,
-0.08762096613645554,
0.028567945584654808,
0.03896671161055565,
0.009931134060025215,
0.009358737617731094,
0.06652243435382843,
0.06601465493440628,
-0.11003439128398895,
0.013703607022762299,
-0.011130312457680702,
-0.021176520735025406,
-0.04337524622678757,
-0.004086258355528116,
0.0034459528978914022,
-0.026451721787452698,
-0.023760702461004257,
-0.08811642229557037,
0.05339904502034187,
0.00018497768905945122,
0.027833925560116768,
0.0630817785859108,
0.10446551442146301,
0.0005789826391264796,
0.025749651715159416,
-0.03065369464457035,
0.07500112801790237,
-0.08814865350723267,
-0.014665418304502964,
0.06316091865301132,
-0.0034667658619582653,
-0.014274696819484234,
-0.05551591143012047,
0.028841739520430565,
0.08190369606018066,
-0.06817776709794998,
0.05931033194065094,
0.04092182591557503,
-0.050062395632267,
-0.10351330786943436,
0.05985487625002861,
-0.02490164339542389,
0.051194217056035995,
0.031883325427770615,
0.017082292586565018,
-0.019831756129860878,
-0.05397966504096985,
0.0029853293672204018,
-0.002616449259221554,
-0.053572315722703934,
0.06782352179288864,
-0.0746653825044632,
0.06154370307922363,
-0.019606173038482666,
0.017634723335504532,
-0.004937646444886923,
0.032882895320653915,
0.06863941252231598,
0.10121899843215942,
-0.0014694913988932967,
0.09592848271131516,
0.03962138667702675,
0.032011810690164566,
0.07932433485984802,
0.026219869032502174,
-0.009080758318305016,
-0.039700157940387726,
0.05740412697196007,
-0.03204513341188431,
-0.10708453506231308,
0.08731541037559509,
0.08341139554977417,
-0.09084601700305939,
-0.10452331602573395,
0.03335743397474289,
0.022891322150826454,
0.045246612280607224,
0.043881453573703766,
0.015070868656039238,
-0.013223551213741302,
-0.045172449201345444,
0.07323303818702698,
0.1036398634314537,
0.04017333313822746,
-0.06331515312194824,
0.0711645856499672,
0.0039518182165920734,
-0.005389714147895575,
-0.06466735154390335,
-0.003122339490801096,
0.04060234874486923,
0.03363627567887306,
-0.049297742545604706,
0.022889818996191025,
-0.0299011692404747,
-0.011722209863364697,
0.09343783557415009,
-0.05703229829668999,
0.021037926897406578,
0.06842590123414993,
0.010407781228423119,
0.07676845788955688,
-0.046548184007406235,
-0.01858566515147686,
-0.06517026573419571,
-0.025367530062794685,
0.028261329978704453,
0.04096238315105438,
0.009208916686475277,
-0.042100515216588974,
-4.238442787383978e-34,
-0.0006690536974929273,
0.1295057237148285,
-0.013409169390797615,
0.045912519097328186,
0.036333054304122925,
0.020198430866003036,
-0.03317970409989357,
-0.032560721039772034,
0.03722049295902252,
0.08486457914113998,
-0.07202214747667313,
-0.00974018033593893,
-0.016055790707468987,
-0.010356247425079346,
0.018789511173963547,
-0.03305196389555931,
-0.03544285148382187,
-0.009204423986375332,
0.02821563370525837,
-0.06713501363992691,
0.07164401561021805,
-0.0385601632297039,
-0.09288141131401062,
-0.05528600141406059,
-0.00981823354959488,
-0.09603549540042877,
-0.030835850164294243,
-0.19603762030601501,
-0.02626313827931881,
0.04316232353448868,
-0.08200697600841522,
-0.03147157281637192,
0.06110793352127075,
0.0008306556846946478,
0.022738972678780556,
-0.013390714302659035,
-0.05713165923953056,
-0.032105546444654465,
-0.03145943954586983,
-0.07307884842157364,
-0.03491457551717758,
0.04857146367430687,
-0.07730259001255035,
-0.05799277871847153,
0.045486532151699066,
-0.10578545182943344,
0.027180014178156853,
0.034217603504657745,
-0.06764301657676697,
-0.020061813294887543,
0.04688321426510811,
-0.004690848756581545,
-0.05388482287526131,
-0.03567469120025635,
-0.01493079774081707,
-0.02412055991590023,
-0.027662817388772964,
0.022450661286711693,
-0.003624832723289728,
0.14346535503864288,
-0.04678923636674881,
-0.05667201057076454,
-0.045781318098306656,
0.014626079238951206,
0.02558445930480957,
-0.06841924041509628,
-0.04036462679505348,
-0.00926958117634058,
0.06911840289831161,
0.05694594606757164,
0.016149258241057396,
-0.05309441313147545,
-0.034500040113925934,
-0.057043254375457764,
-0.06814797222614288,
0.03663531318306923,
0.03670111671090126,
0.01971045881509781,
-0.009186348877847195,
0.0379122719168663,
-0.028390292078256607,
-0.03707047179341316,
-0.1239795908331871,
-0.019201790913939476,
-0.01268625259399414,
-0.018365534022450447,
0.003962241113185883,
-0.09377319365739822,
-0.08643810451030731,
0.005678845103830099,
-0.038428790867328644,
0.04368700459599495,
0.012256809510290623,
-0.047330789268016815,
-0.010520828887820244,
-4.470223641072247e-34,
0.013789495453238487,
-0.0009891705121845007,
0.040561411529779434,
-0.03423972800374031,
0.020591910928487778,
0.004784388933330774,
0.040827956050634384,
0.021099397912621498,
-0.031051626428961754,
-0.03806646913290024,
-0.04579879716038704,
-0.01609983667731285,
0.011183811351656914,
0.0555722638964653,
-0.0009569218964315951,
-0.015918033197522163,
0.05597337707877159,
0.092471644282341,
0.029711579903960228,
-0.007883249782025814,
0.034264836460351944,
0.001349589554592967,
-0.019039751961827278,
0.02610349841415882,
0.08044467866420746,
0.049836963415145874,
-0.04250513017177582,
0.10580205172300339,
0.010577965527772903,
0.07701864093542099,
-0.10534969717264175,
-0.07414191216230392,
0.02415960095822811,
-0.03249579668045044,
0.036106616258621216,
0.026930497959256172,
0.02927209623157978,
0.08042674511671066,
-0.022564886137843132,
0.02148524485528469,
0.08543644100427628,
-0.08490905910730362,
-0.04039587825536728,
0.016620738431811333,
0.027377450838685036,
-0.017824221402406693,
-0.07602844387292862,
0.05753713473677635,
-0.06521227955818176,
-0.021424420177936554,
0.039184048771858215,
-0.009526310488581657,
0.04969298094511032,
-0.011290404014289379,
-0.043728381395339966,
0.04715747386217117,
0.06319475173950195,
0.059229377657175064,
-0.0022984889801591635,
0.018089642748236656,
0.008122894912958145,
-0.05592276528477669,
-0.03192068263888359,
0.027249764651060104,
0.03824199363589287,
-0.0013558593345806003,
0.06668369472026825,
-0.10058118402957916,
-0.036306027323007584,
0.05526721850037575,
-0.01633169874548912,
-0.05476435273885727,
-0.07352946698665619,
-0.014013434760272503,
0.014177749864757061,
0.06333810091018677,
0.025088248774409294,
-0.035232800990343094,
-0.03810693323612213,
0.06931569427251816,
-0.08974891901016235,
0.07132641971111298,
-0.03399835154414177,
0.02933363802731037,
0.054794471710920334,
0.019004296511411667,
0.06617245823144913,
0.004100913647562265,
-0.0060653663240373135,
-0.06605900079011917,
0.004816737491637468,
0.0720071941614151,
-0.003306740429252386,
0.04152293503284454,
0.04111160337924957,
-5.193988883434031e-8,
-0.04763321205973625,
0.017728431150317192,
-0.04187535122036934,
-0.03302362188696861,
-0.027653072029352188,
-0.06321726739406586,
0.01763576827943325,
-0.025233358144760132,
0.032318245619535446,
-0.0565062016248703,
0.09503065794706345,
0.02662605606019497,
-0.03043057769536972,
0.03751610219478607,
-0.0026214367244392633,
0.0034158085472881794,
-0.06027859449386597,
-0.09065143764019012,
-0.02118614688515663,
0.033076874911785126,
-0.02798902615904808,
0.03940414637327194,
0.005852230358868837,
0.03624364733695984,
-0.004172742832452059,
-0.041537024080753326,
0.0022395162377506495,
0.0536736324429512,
0.0745806097984314,
0.023780738934874535,
0.03010423295199871,
-0.027174964547157288,
0.031149353832006454,
0.04701568931341171,
-0.14995722472667694,
-0.0394677110016346,
-0.04444274306297302,
0.003292789915576577,
-0.05012010037899017,
-0.0014328939141705632,
0.03304498270153999,
0.020925894379615784,
-0.018383510410785675,
-0.0010384913766756654,
0.04628406837582588,
0.02412792295217514,
0.011304338462650776,
0.05040649324655533,
-0.0007343275938183069,
0.009268969297409058,
-0.06123096123337746,
0.06277360767126083,
0.015362684614956379,
-0.02476108819246292,
0.006817161105573177,
-0.04281145706772804,
0.0469105988740921,
-0.11295050382614136,
0.029735175892710686,
-0.06278983503580093,
-0.00548513000831008,
0.10539575666189194,
-0.0503498837351799,
-0.054253559559583664
] | null | null | null | null | null | null | null |
[
-0.029569612815976143,
-0.021128566935658455,
0.003460746956989169,
-0.035858869552612305,
0.0016396435676142573,
-0.02665984258055687,
0.05812239646911621,
-0.056138716638088226,
0.10572494566440582,
-0.02308502607047558,
0.03329413756728172,
0.08197937905788422,
0.06712392717599869,
0.0003372497740201652,
-0.014150440692901611,
-0.0019017604645341635,
0.12824644148349762,
0.036905743181705475,
-0.08762096613645554,
0.028567945584654808,
0.03896671161055565,
0.009931134060025215,
0.009358737617731094,
0.06652243435382843,
0.06601465493440628,
-0.11003439128398895,
0.013703607022762299,
-0.011130312457680702,
-0.021176520735025406,
-0.04337524622678757,
-0.004086258355528116,
0.0034459528978914022,
-0.026451721787452698,
-0.023760702461004257,
-0.08811642229557037,
0.05339904502034187,
0.00018497768905945122,
0.027833925560116768,
0.0630817785859108,
0.10446551442146301,
0.0005789826391264796,
0.025749651715159416,
-0.03065369464457035,
0.07500112801790237,
-0.08814865350723267,
-0.014665418304502964,
0.06316091865301132,
-0.0034667658619582653,
-0.014274696819484234,
-0.05551591143012047,
0.028841739520430565,
0.08190369606018066,
-0.06817776709794998,
0.05931033194065094,
0.04092182591557503,
-0.050062395632267,
-0.10351330786943436,
0.05985487625002861,
-0.02490164339542389,
0.051194217056035995,
0.031883325427770615,
0.017082292586565018,
-0.019831756129860878,
-0.05397966504096985,
0.0029853293672204018,
-0.002616449259221554,
-0.053572315722703934,
0.06782352179288864,
-0.0746653825044632,
0.06154370307922363,
-0.019606173038482666,
0.017634723335504532,
-0.004937646444886923,
0.032882895320653915,
0.06863941252231598,
0.10121899843215942,
-0.0014694913988932967,
0.09592848271131516,
0.03962138667702675,
0.032011810690164566,
0.07932433485984802,
0.026219869032502174,
-0.009080758318305016,
-0.039700157940387726,
0.05740412697196007,
-0.03204513341188431,
-0.10708453506231308,
0.08731541037559509,
0.08341139554977417,
-0.09084601700305939,
-0.10452331602573395,
0.03335743397474289,
0.022891322150826454,
0.045246612280607224,
0.043881453573703766,
0.015070868656039238,
-0.013223551213741302,
-0.045172449201345444,
0.07323303818702698,
0.1036398634314537,
0.04017333313822746,
-0.06331515312194824,
0.0711645856499672,
0.0039518182165920734,
-0.005389714147895575,
-0.06466735154390335,
-0.003122339490801096,
0.04060234874486923,
0.03363627567887306,
-0.049297742545604706,
0.022889818996191025,
-0.0299011692404747,
-0.011722209863364697,
0.09343783557415009,
-0.05703229829668999,
0.021037926897406578,
0.06842590123414993,
0.010407781228423119,
0.07676845788955688,
-0.046548184007406235,
-0.01858566515147686,
-0.06517026573419571,
-0.025367530062794685,
0.028261329978704453,
0.04096238315105438,
0.009208916686475277,
-0.042100515216588974,
-4.238442787383978e-34,
-0.0006690536974929273,
0.1295057237148285,
-0.013409169390797615,
0.045912519097328186,
0.036333054304122925,
0.020198430866003036,
-0.03317970409989357,
-0.032560721039772034,
0.03722049295902252,
0.08486457914113998,
-0.07202214747667313,
-0.00974018033593893,
-0.016055790707468987,
-0.010356247425079346,
0.018789511173963547,
-0.03305196389555931,
-0.03544285148382187,
-0.009204423986375332,
0.02821563370525837,
-0.06713501363992691,
0.07164401561021805,
-0.0385601632297039,
-0.09288141131401062,
-0.05528600141406059,
-0.00981823354959488,
-0.09603549540042877,
-0.030835850164294243,
-0.19603762030601501,
-0.02626313827931881,
0.04316232353448868,
-0.08200697600841522,
-0.03147157281637192,
0.06110793352127075,
0.0008306556846946478,
0.022738972678780556,
-0.013390714302659035,
-0.05713165923953056,
-0.032105546444654465,
-0.03145943954586983,
-0.07307884842157364,
-0.03491457551717758,
0.04857146367430687,
-0.07730259001255035,
-0.05799277871847153,
0.045486532151699066,
-0.10578545182943344,
0.027180014178156853,
0.034217603504657745,
-0.06764301657676697,
-0.020061813294887543,
0.04688321426510811,
-0.004690848756581545,
-0.05388482287526131,
-0.03567469120025635,
-0.01493079774081707,
-0.02412055991590023,
-0.027662817388772964,
0.022450661286711693,
-0.003624832723289728,
0.14346535503864288,
-0.04678923636674881,
-0.05667201057076454,
-0.045781318098306656,
0.014626079238951206,
0.02558445930480957,
-0.06841924041509628,
-0.04036462679505348,
-0.00926958117634058,
0.06911840289831161,
0.05694594606757164,
0.016149258241057396,
-0.05309441313147545,
-0.034500040113925934,
-0.057043254375457764,
-0.06814797222614288,
0.03663531318306923,
0.03670111671090126,
0.01971045881509781,
-0.009186348877847195,
0.0379122719168663,
-0.028390292078256607,
-0.03707047179341316,
-0.1239795908331871,
-0.019201790913939476,
-0.01268625259399414,
-0.018365534022450447,
0.003962241113185883,
-0.09377319365739822,
-0.08643810451030731,
0.005678845103830099,
-0.038428790867328644,
0.04368700459599495,
0.012256809510290623,
-0.047330789268016815,
-0.010520828887820244,
-4.470223641072247e-34,
0.013789495453238487,
-0.0009891705121845007,
0.040561411529779434,
-0.03423972800374031,
0.020591910928487778,
0.004784388933330774,
0.040827956050634384,
0.021099397912621498,
-0.031051626428961754,
-0.03806646913290024,
-0.04579879716038704,
-0.01609983667731285,
0.011183811351656914,
0.0555722638964653,
-0.0009569218964315951,
-0.015918033197522163,
0.05597337707877159,
0.092471644282341,
0.029711579903960228,
-0.007883249782025814,
0.034264836460351944,
0.001349589554592967,
-0.019039751961827278,
0.02610349841415882,
0.08044467866420746,
0.049836963415145874,
-0.04250513017177582,
0.10580205172300339,
0.010577965527772903,
0.07701864093542099,
-0.10534969717264175,
-0.07414191216230392,
0.02415960095822811,
-0.03249579668045044,
0.036106616258621216,
0.026930497959256172,
0.02927209623157978,
0.08042674511671066,
-0.022564886137843132,
0.02148524485528469,
0.08543644100427628,
-0.08490905910730362,
-0.04039587825536728,
0.016620738431811333,
0.027377450838685036,
-0.017824221402406693,
-0.07602844387292862,
0.05753713473677635,
-0.06521227955818176,
-0.021424420177936554,
0.039184048771858215,
-0.009526310488581657,
0.04969298094511032,
-0.011290404014289379,
-0.043728381395339966,
0.04715747386217117,
0.06319475173950195,
0.059229377657175064,
-0.0022984889801591635,
0.018089642748236656,
0.008122894912958145,
-0.05592276528477669,
-0.03192068263888359,
0.027249764651060104,
0.03824199363589287,
-0.0013558593345806003,
0.06668369472026825,
-0.10058118402957916,
-0.036306027323007584,
0.05526721850037575,
-0.01633169874548912,
-0.05476435273885727,
-0.07352946698665619,
-0.014013434760272503,
0.014177749864757061,
0.06333810091018677,
0.025088248774409294,
-0.035232800990343094,
-0.03810693323612213,
0.06931569427251816,
-0.08974891901016235,
0.07132641971111298,
-0.03399835154414177,
0.02933363802731037,
0.054794471710920334,
0.019004296511411667,
0.06617245823144913,
0.004100913647562265,
-0.0060653663240373135,
-0.06605900079011917,
0.004816737491637468,
0.0720071941614151,
-0.003306740429252386,
0.04152293503284454,
0.04111160337924957,
-5.193988883434031e-8,
-0.04763321205973625,
0.017728431150317192,
-0.04187535122036934,
-0.03302362188696861,
-0.027653072029352188,
-0.06321726739406586,
0.01763576827943325,
-0.025233358144760132,
0.032318245619535446,
-0.0565062016248703,
0.09503065794706345,
0.02662605606019497,
-0.03043057769536972,
0.03751610219478607,
-0.0026214367244392633,
0.0034158085472881794,
-0.06027859449386597,
-0.09065143764019012,
-0.02118614688515663,
0.033076874911785126,
-0.02798902615904808,
0.03940414637327194,
0.005852230358868837,
0.03624364733695984,
-0.004172742832452059,
-0.041537024080753326,
0.0022395162377506495,
0.0536736324429512,
0.0745806097984314,
0.023780738934874535,
0.03010423295199871,
-0.027174964547157288,
0.031149353832006454,
0.04701568931341171,
-0.14995722472667694,
-0.0394677110016346,
-0.04444274306297302,
0.003292789915576577,
-0.05012010037899017,
-0.0014328939141705632,
0.03304498270153999,
0.020925894379615784,
-0.018383510410785675,
-0.0010384913766756654,
0.04628406837582588,
0.02412792295217514,
0.011304338462650776,
0.05040649324655533,
-0.0007343275938183069,
0.009268969297409058,
-0.06123096123337746,
0.06277360767126083,
0.015362684614956379,
-0.02476108819246292,
0.006817161105573177,
-0.04281145706772804,
0.0469105988740921,
-0.11295050382614136,
0.029735175892710686,
-0.06278983503580093,
-0.00548513000831008,
0.10539575666189194,
-0.0503498837351799,
-0.054253559559583664
] |
1402.3120
|
Emeric Balogh
|
Emeric Balogh, Katalin Kov\'acs, Valer Tosa and Katalin Varj\'u
|
A case study for terahertz-assisted single attosecond pulse generation
| null |
J. Phys. B: At. Mol. Opt. Phys. 45, 074022 (2012)
|
10.1088/0953-4075/45/7/074022
| null |
physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We numerically investigate the use of strong THz radiation in assisting
single attosecond pulse generation by few-cycle, 800 nm laser pulses. We
optimize focusing conditions to generate short and powerful single attosecond
pulses of high-energy photons by keeping the parameters of the THz field within
the limits achieved experimentally. We show that using optimal focusing
geometry isolated attosecond pulses shorter than 100 as can be obtained even in
the absence of further gating or XUV compression techniques, using an 8 fs
generating pulse. Furthermore, quantum path control of short- and
long-trajectory components is demonstrated by varying the delay between the THz
and IR pulses.
|
[
{
"created": "Thu, 13 Feb 2014 13:15:31 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Balogh",
"Emeric",
""
],
[
"Kovács",
"Katalin",
""
],
[
"Tosa",
"Valer",
""
],
[
"Varjú",
"Katalin",
""
]
] |
[
-0.022077269852161407,
-0.008512629196047783,
-0.11177035421133041,
0.05159814655780792,
-0.022919604554772377,
-0.02598544768989086,
0.02795584127306938,
-0.020560670644044876,
-0.06199733540415764,
0.0046406155452132225,
0.02604137547314167,
0.03691442683339119,
-0.04926453158259392,
-0.08308233320713043,
0.06123246252536774,
0.04545504227280617,
0.03026486188173294,
-0.011649541556835175,
-0.0032463064417243004,
-0.026232866570353508,
0.03648194670677185,
-0.07441581040620804,
0.07137973606586456,
0.009249638766050339,
0.0065069920383393764,
-0.09351296722888947,
-0.036960192024707794,
-0.016223758459091187,
0.01667182706296444,
-0.02772388979792595,
0.07526791840791702,
-0.009896873496472836,
-0.052540674805641174,
0.06418037414550781,
-0.012918968684971333,
0.054390013217926025,
0.04867212101817131,
0.001053044106811285,
-0.011937347240746021,
-0.08569329977035522,
0.05020206794142723,
-0.0032476631458848715,
0.00425057765096426,
0.06611230224370956,
-0.030880888924002647,
-0.01526075229048729,
0.03771430253982544,
-0.02456917054951191,
-0.01315874233841896,
-0.044627100229263306,
-0.04869342967867851,
0.021013297140598297,
0.02799195796251297,
-0.06899609416723251,
-0.008443446829915047,
0.027450749650597572,
-0.02437097579240799,
0.05256608501076698,
-0.03368954360485077,
-0.026221953332424164,
-0.06851736456155777,
-0.03514861315488815,
-0.024153195321559906,
-0.006467084866017103,
0.06032084673643112,
-0.0402245931327343,
0.013287236914038658,
0.013513710349798203,
-0.05731396749615669,
0.05071217194199562,
-0.010070242919027805,
-0.025916587561368942,
0.004441013094037771,
0.05982023850083351,
-0.07292243093252182,
-0.021730506792664528,
0.029515929520130157,
0.049979355186223984,
-0.040000565350055695,
0.030413920059800148,
0.04049781337380409,
-0.05213432386517525,
-0.011850414797663689,
0.018276730552315712,
-0.064049132168293,
0.026604807004332542,
-0.03821202367544174,
0.05069492757320404,
-0.00955110788345337,
-0.0493411086499691,
0.014865588396787643,
-0.032450783997774124,
0.08952092379331589,
-0.013567262329161167,
-0.01485941931605339,
0.026756485924124718,
0.07590623944997787,
-0.07010170072317123,
0.033650949597358704,
-0.045854322612285614,
0.1331959068775177,
-0.037596918642520905,
-0.011663603596389294,
0.05988096818327904,
-0.048354100435972214,
-0.0024173096753656864,
0.01656821370124817,
0.0845736712217331,
-0.11720915883779526,
0.034516796469688416,
0.10379476845264435,
-0.020537368953227997,
0.023907942697405815,
-0.010615303181111813,
0.014727503061294556,
0.02005128376185894,
-0.056032367050647736,
-0.009265442378818989,
0.07858645170927048,
-0.046067290008068085,
-0.0880635678768158,
0.07926894724369049,
-0.008252181112766266,
0.043887972831726074,
-0.015727654099464417,
-0.019504226744174957,
-0.025014670565724373,
3.247628976486938e-33,
0.0013580111553892493,
0.10262396186590195,
-0.03211629390716553,
-0.10519302636384964,
0.010867079719901085,
0.0404556579887867,
0.07303154468536377,
0.030052049085497856,
-0.07383880764245987,
0.06670612841844559,
0.0031767068430781364,
-0.042471177875995636,
0.02198192849755287,
-0.08510958403348923,
-0.024453600868582726,
-0.13279743492603302,
0.006664559710770845,
0.09495673328638077,
-0.06222814321517944,
0.07193826884031296,
-0.06825927644968033,
-0.02346845716238022,
-0.030004331842064857,
0.05609888210892677,
-0.033590033650398254,
0.009707768447697163,
0.019979247823357582,
0.034731339663267136,
-0.08049085736274719,
-0.012636929750442505,
-0.029239987954497337,
0.07527816295623779,
-0.021785998716950417,
-0.0345095731317997,
0.07956186681985855,
0.005643473472446203,
-0.004919299855828285,
0.1317051649093628,
-0.004349030554294586,
-0.004722039680927992,
0.018120691180229187,
0.006516982801258564,
0.031791407614946365,
-0.00048401416279375553,
-0.013285606168210506,
-0.03574409708380699,
-0.10375141352415085,
0.07707813382148743,
-0.033031903207302094,
-0.0005983970477245748,
0.027541926130652428,
-0.08190548419952393,
-0.016334332525730133,
0.001422259141691029,
0.05325948819518089,
-0.022559447214007378,
0.05899215117096901,
0.034029681235551834,
0.00979985948652029,
0.01099796500056982,
0.07462602853775024,
-0.13806554675102234,
-0.047241341322660446,
0.015905825421214104,
-0.10239548981189728,
0.004906972870230675,
-0.048213470727205276,
0.009353232569992542,
-0.019102668389678,
0.13712574541568756,
0.00625167740508914,
0.05144961550831795,
0.037403322756290436,
-0.12935984134674072,
0.14283128082752228,
-0.008218897506594658,
0.011858167126774788,
0.04790918156504631,
-0.015424324199557304,
0.03080536052584648,
0.005524738691747189,
-0.007759654428809881,
-0.08508576452732086,
0.028467772528529167,
-0.023303043097257614,
-0.01160499732941389,
-0.0822124183177948,
0.049914564937353134,
-0.10853838175535202,
-0.006675440352410078,
0.017286265268921852,
-0.059829261153936386,
0.012126323767006397,
-0.07278508692979813,
-0.05454537644982338,
-3.403492547908265e-33,
0.09414094686508179,
0.03759685158729553,
0.055836327373981476,
0.056201182305812836,
0.11267151683568954,
0.08383878320455551,
0.09665489941835403,
0.015650877729058266,
-0.06526307016611099,
-0.01371319591999054,
0.0715852901339531,
-0.00046932301484048367,
-0.011352306231856346,
0.0036314609460532665,
-0.05943399295210838,
-0.0037982177454978228,
0.05089152976870537,
-0.05200408771634102,
0.013489657081663609,
-0.0019668599124997854,
-0.04022025689482689,
0.014598105102777481,
0.04922478273510933,
0.010168571956455708,
-0.00989644043147564,
0.015443997457623482,
-0.018446646630764008,
-0.02561483532190323,
-0.006741110235452652,
0.021192336454987526,
-0.06194385513663292,
-0.011769658885896206,
-0.028369944542646408,
-0.04363653063774109,
-0.08999932557344437,
0.028813425451517105,
-0.04696512222290039,
0.08446016162633896,
-0.03501380980014801,
-0.027690786868333817,
0.04805971309542656,
-0.005901013966649771,
-0.0016632983461022377,
0.06848517805337906,
0.0007174003403633833,
0.11224272847175598,
-0.08530580997467041,
-0.06256579607725143,
-0.059997331351041794,
0.07576809823513031,
-0.04976801946759224,
0.006318450439721346,
0.033110860735177994,
0.060099612921476364,
-0.033510591834783554,
-0.010268071666359901,
-0.035912271589040756,
0.01176421158015728,
0.012910906225442886,
-0.0031161163933575153,
-0.03605679050087929,
-0.02331935055553913,
0.09239768236875534,
0.0030982547905296087,
0.039301179349422455,
-0.012771603651344776,
-0.024243894964456558,
0.056534912437200546,
0.0015160228358581662,
-0.005164136178791523,
-0.03097483702003956,
0.04175317659974098,
0.02258262038230896,
0.064559206366539,
-0.051645368337631226,
0.036356788128614426,
0.01576828397810459,
-0.03787783905863762,
0.002941923215985298,
0.018050607293844223,
0.050350598990917206,
0.0983925461769104,
-0.08492057025432587,
0.016254089772701263,
0.027378054335713387,
0.042099837213754654,
0.02218577265739441,
0.010528276674449444,
-0.009182996116578579,
0.015513102523982525,
0.0006303658592514694,
0.0661817267537117,
0.03831937536597252,
-0.05435172840952873,
0.09329117834568024,
-4.1273118256413e-8,
-0.07553260773420334,
-0.029338782653212547,
-0.06340926140546799,
0.012431759387254715,
0.08493836224079132,
0.029721233993768692,
-0.03275415673851967,
0.05056687444448471,
0.06826939433813095,
-0.06638599932193756,
-0.04576998949050903,
0.052713777869939804,
0.01531218085438013,
0.08579535782337189,
0.039619509130716324,
-0.0468750037252903,
0.008974815718829632,
-0.08192338794469833,
0.02670694701373577,
0.02268950082361698,
-0.016150500625371933,
0.0033547119237482548,
-0.01757553592324257,
-0.002927833003923297,
-0.0028715517837554216,
0.017862720414996147,
-0.08843091875314713,
0.0036215733271092176,
0.1112041026353836,
-0.06509222090244293,
0.00419266102835536,
-0.03315114602446556,
-0.019704768434166908,
0.07018812000751495,
-0.08460716158151627,
-0.022423742339015007,
-0.0940159410238266,
-0.006251040380448103,
-0.02035306766629219,
-0.04229220747947693,
-0.0320381261408329,
0.05255391448736191,
-0.02147836610674858,
-0.006376178469508886,
-0.12414756417274475,
0.01611645147204399,
-0.010659856721758842,
-0.04599878937005997,
-0.023159077391028404,
0.101840078830719,
-0.06845523416996002,
0.045046329498291016,
-0.02470508962869644,
-0.1099536344408989,
0.0001411686826031655,
-0.006324934307485819,
0.010139057412743568,
-0.03017282299697399,
-0.03280197083950043,
0.031947676092386246,
0.12532708048820496,
-0.04916530102491379,
0.011892315931618214,
0.04086821898818016
] | null | null | null | null | null | null | null |
[
-0.022077269852161407,
-0.008512629196047783,
-0.11177035421133041,
0.05159814655780792,
-0.022919604554772377,
-0.02598544768989086,
0.02795584127306938,
-0.020560670644044876,
-0.06199733540415764,
0.0046406155452132225,
0.02604137547314167,
0.03691442683339119,
-0.04926453158259392,
-0.08308233320713043,
0.06123246252536774,
0.04545504227280617,
0.03026486188173294,
-0.011649541556835175,
-0.0032463064417243004,
-0.026232866570353508,
0.03648194670677185,
-0.07441581040620804,
0.07137973606586456,
0.009249638766050339,
0.0065069920383393764,
-0.09351296722888947,
-0.036960192024707794,
-0.016223758459091187,
0.01667182706296444,
-0.02772388979792595,
0.07526791840791702,
-0.009896873496472836,
-0.052540674805641174,
0.06418037414550781,
-0.012918968684971333,
0.054390013217926025,
0.04867212101817131,
0.001053044106811285,
-0.011937347240746021,
-0.08569329977035522,
0.05020206794142723,
-0.0032476631458848715,
0.00425057765096426,
0.06611230224370956,
-0.030880888924002647,
-0.01526075229048729,
0.03771430253982544,
-0.02456917054951191,
-0.01315874233841896,
-0.044627100229263306,
-0.04869342967867851,
0.021013297140598297,
0.02799195796251297,
-0.06899609416723251,
-0.008443446829915047,
0.027450749650597572,
-0.02437097579240799,
0.05256608501076698,
-0.03368954360485077,
-0.026221953332424164,
-0.06851736456155777,
-0.03514861315488815,
-0.024153195321559906,
-0.006467084866017103,
0.06032084673643112,
-0.0402245931327343,
0.013287236914038658,
0.013513710349798203,
-0.05731396749615669,
0.05071217194199562,
-0.010070242919027805,
-0.025916587561368942,
0.004441013094037771,
0.05982023850083351,
-0.07292243093252182,
-0.021730506792664528,
0.029515929520130157,
0.049979355186223984,
-0.040000565350055695,
0.030413920059800148,
0.04049781337380409,
-0.05213432386517525,
-0.011850414797663689,
0.018276730552315712,
-0.064049132168293,
0.026604807004332542,
-0.03821202367544174,
0.05069492757320404,
-0.00955110788345337,
-0.0493411086499691,
0.014865588396787643,
-0.032450783997774124,
0.08952092379331589,
-0.013567262329161167,
-0.01485941931605339,
0.026756485924124718,
0.07590623944997787,
-0.07010170072317123,
0.033650949597358704,
-0.045854322612285614,
0.1331959068775177,
-0.037596918642520905,
-0.011663603596389294,
0.05988096818327904,
-0.048354100435972214,
-0.0024173096753656864,
0.01656821370124817,
0.0845736712217331,
-0.11720915883779526,
0.034516796469688416,
0.10379476845264435,
-0.020537368953227997,
0.023907942697405815,
-0.010615303181111813,
0.014727503061294556,
0.02005128376185894,
-0.056032367050647736,
-0.009265442378818989,
0.07858645170927048,
-0.046067290008068085,
-0.0880635678768158,
0.07926894724369049,
-0.008252181112766266,
0.043887972831726074,
-0.015727654099464417,
-0.019504226744174957,
-0.025014670565724373,
3.247628976486938e-33,
0.0013580111553892493,
0.10262396186590195,
-0.03211629390716553,
-0.10519302636384964,
0.010867079719901085,
0.0404556579887867,
0.07303154468536377,
0.030052049085497856,
-0.07383880764245987,
0.06670612841844559,
0.0031767068430781364,
-0.042471177875995636,
0.02198192849755287,
-0.08510958403348923,
-0.024453600868582726,
-0.13279743492603302,
0.006664559710770845,
0.09495673328638077,
-0.06222814321517944,
0.07193826884031296,
-0.06825927644968033,
-0.02346845716238022,
-0.030004331842064857,
0.05609888210892677,
-0.033590033650398254,
0.009707768447697163,
0.019979247823357582,
0.034731339663267136,
-0.08049085736274719,
-0.012636929750442505,
-0.029239987954497337,
0.07527816295623779,
-0.021785998716950417,
-0.0345095731317997,
0.07956186681985855,
0.005643473472446203,
-0.004919299855828285,
0.1317051649093628,
-0.004349030554294586,
-0.004722039680927992,
0.018120691180229187,
0.006516982801258564,
0.031791407614946365,
-0.00048401416279375553,
-0.013285606168210506,
-0.03574409708380699,
-0.10375141352415085,
0.07707813382148743,
-0.033031903207302094,
-0.0005983970477245748,
0.027541926130652428,
-0.08190548419952393,
-0.016334332525730133,
0.001422259141691029,
0.05325948819518089,
-0.022559447214007378,
0.05899215117096901,
0.034029681235551834,
0.00979985948652029,
0.01099796500056982,
0.07462602853775024,
-0.13806554675102234,
-0.047241341322660446,
0.015905825421214104,
-0.10239548981189728,
0.004906972870230675,
-0.048213470727205276,
0.009353232569992542,
-0.019102668389678,
0.13712574541568756,
0.00625167740508914,
0.05144961550831795,
0.037403322756290436,
-0.12935984134674072,
0.14283128082752228,
-0.008218897506594658,
0.011858167126774788,
0.04790918156504631,
-0.015424324199557304,
0.03080536052584648,
0.005524738691747189,
-0.007759654428809881,
-0.08508576452732086,
0.028467772528529167,
-0.023303043097257614,
-0.01160499732941389,
-0.0822124183177948,
0.049914564937353134,
-0.10853838175535202,
-0.006675440352410078,
0.017286265268921852,
-0.059829261153936386,
0.012126323767006397,
-0.07278508692979813,
-0.05454537644982338,
-3.403492547908265e-33,
0.09414094686508179,
0.03759685158729553,
0.055836327373981476,
0.056201182305812836,
0.11267151683568954,
0.08383878320455551,
0.09665489941835403,
0.015650877729058266,
-0.06526307016611099,
-0.01371319591999054,
0.0715852901339531,
-0.00046932301484048367,
-0.011352306231856346,
0.0036314609460532665,
-0.05943399295210838,
-0.0037982177454978228,
0.05089152976870537,
-0.05200408771634102,
0.013489657081663609,
-0.0019668599124997854,
-0.04022025689482689,
0.014598105102777481,
0.04922478273510933,
0.010168571956455708,
-0.00989644043147564,
0.015443997457623482,
-0.018446646630764008,
-0.02561483532190323,
-0.006741110235452652,
0.021192336454987526,
-0.06194385513663292,
-0.011769658885896206,
-0.028369944542646408,
-0.04363653063774109,
-0.08999932557344437,
0.028813425451517105,
-0.04696512222290039,
0.08446016162633896,
-0.03501380980014801,
-0.027690786868333817,
0.04805971309542656,
-0.005901013966649771,
-0.0016632983461022377,
0.06848517805337906,
0.0007174003403633833,
0.11224272847175598,
-0.08530580997467041,
-0.06256579607725143,
-0.059997331351041794,
0.07576809823513031,
-0.04976801946759224,
0.006318450439721346,
0.033110860735177994,
0.060099612921476364,
-0.033510591834783554,
-0.010268071666359901,
-0.035912271589040756,
0.01176421158015728,
0.012910906225442886,
-0.0031161163933575153,
-0.03605679050087929,
-0.02331935055553913,
0.09239768236875534,
0.0030982547905296087,
0.039301179349422455,
-0.012771603651344776,
-0.024243894964456558,
0.056534912437200546,
0.0015160228358581662,
-0.005164136178791523,
-0.03097483702003956,
0.04175317659974098,
0.02258262038230896,
0.064559206366539,
-0.051645368337631226,
0.036356788128614426,
0.01576828397810459,
-0.03787783905863762,
0.002941923215985298,
0.018050607293844223,
0.050350598990917206,
0.0983925461769104,
-0.08492057025432587,
0.016254089772701263,
0.027378054335713387,
0.042099837213754654,
0.02218577265739441,
0.010528276674449444,
-0.009182996116578579,
0.015513102523982525,
0.0006303658592514694,
0.0661817267537117,
0.03831937536597252,
-0.05435172840952873,
0.09329117834568024,
-4.1273118256413e-8,
-0.07553260773420334,
-0.029338782653212547,
-0.06340926140546799,
0.012431759387254715,
0.08493836224079132,
0.029721233993768692,
-0.03275415673851967,
0.05056687444448471,
0.06826939433813095,
-0.06638599932193756,
-0.04576998949050903,
0.052713777869939804,
0.01531218085438013,
0.08579535782337189,
0.039619509130716324,
-0.0468750037252903,
0.008974815718829632,
-0.08192338794469833,
0.02670694701373577,
0.02268950082361698,
-0.016150500625371933,
0.0033547119237482548,
-0.01757553592324257,
-0.002927833003923297,
-0.0028715517837554216,
0.017862720414996147,
-0.08843091875314713,
0.0036215733271092176,
0.1112041026353836,
-0.06509222090244293,
0.00419266102835536,
-0.03315114602446556,
-0.019704768434166908,
0.07018812000751495,
-0.08460716158151627,
-0.022423742339015007,
-0.0940159410238266,
-0.006251040380448103,
-0.02035306766629219,
-0.04229220747947693,
-0.0320381261408329,
0.05255391448736191,
-0.02147836610674858,
-0.006376178469508886,
-0.12414756417274475,
0.01611645147204399,
-0.010659856721758842,
-0.04599878937005997,
-0.023159077391028404,
0.101840078830719,
-0.06845523416996002,
0.045046329498291016,
-0.02470508962869644,
-0.1099536344408989,
0.0001411686826031655,
-0.006324934307485819,
0.010139057412743568,
-0.03017282299697399,
-0.03280197083950043,
0.031947676092386246,
0.12532708048820496,
-0.04916530102491379,
0.011892315931618214,
0.04086821898818016
] |
1402.3125
|
Sune K. Jakobsen
|
Sune K Jakobsen
|
Information Theoretical Cryptogenography
|
34 pages, 1 figure
| null | null | null |
cs.CR cs.IT math.IT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider problems where $n$ people are communicating and a random subset
of them is trying to leak information, without making it clear who are leaking
the information. We introduce a measure of suspicion, and show that the amount
of leaked information will always be bounded by the expected increase in
suspicion, and that this bound is tight. We ask the question: Suppose a large
number of people have some information they want to leak, but they want to
ensure that after the communication, an observer will assign probability at
most $c$ to the events that each of them is trying to leak the information. How
much information can they reliably leak, per person who is leaking? We show
that the answer is $- \frac{\log(1-c)}{c} -\log(e)$ bits.
|
[
{
"created": "Thu, 13 Feb 2014 13:33:06 GMT",
"version": "v1"
}
] |
2014-02-14
|
[
[
"Jakobsen",
"Sune K",
""
]
] |
[
-0.03269214183092117,
0.015096231363713741,
0.064546599984169,
0.006123065482825041,
0.06094064563512802,
-0.021218232810497284,
0.16168227791786194,
0.029089029878377914,
0.10794054716825485,
0.029605863615870476,
-0.030314138159155846,
-0.026092005893588066,
0.03953910246491432,
-0.07776082307100296,
-0.03950701653957367,
-0.031059954315423965,
0.07714146375656128,
-0.042231541126966476,
-0.10924626141786575,
-0.02291053906083107,
-0.025959422811865807,
-0.07163640856742859,
0.053837183862924576,
-0.007713041268289089,
-0.04523015394806862,
-0.06746690720319748,
0.025061707943677902,
-0.08118470013141632,
-0.039803601801395416,
-0.00842046644538641,
0.017408445477485657,
-0.013182489201426506,
0.03440270200371742,
-0.029854848980903625,
0.005510421469807625,
-0.02103029005229473,
-0.004839759785681963,
0.020250415429472923,
-0.0019438163144513965,
0.06564103066921234,
-0.004989220295101404,
0.06385333836078644,
-0.0009352386696264148,
0.06444714218378067,
-0.027768347412347794,
0.028841743245720863,
0.05448026955127716,
0.09729813039302826,
-0.08698897808790207,
-0.015608380548655987,
-0.017461851239204407,
0.001975025050342083,
0.04638461768627167,
0.022551454603672028,
-0.010382630862295628,
-0.1457165777683258,
-0.0439956896007061,
-0.026395762339234352,
-0.044866085052490234,
0.11449434608221054,
0.022229395806789398,
-0.03901464864611626,
-0.026696668937802315,
-0.04763595014810562,
0.01749756932258606,
0.02123468741774559,
0.02702263742685318,
0.056847814470529556,
-0.01641584374010563,
0.07327113300561905,
-0.04468607157468796,
0.015827801078557968,
-0.061606019735336304,
-0.02200327441096306,
0.04887142404913902,
-0.05948584899306297,
-0.04152565822005272,
-0.012819847092032433,
-0.028927652165293694,
0.003819930600002408,
0.014103405177593231,
-0.03469003364443779,
0.019663110375404358,
-0.0510065034031868,
0.028131769970059395,
-0.11101903021335602,
0.030532347038388252,
-0.002369146328419447,
0.03267486393451691,
-0.039135247468948364,
-0.16178947687149048,
-0.06346393376588821,
0.00243832403793931,
0.05950981006026268,
0.020346714183688164,
0.05216940864920616,
-0.02251456119120121,
0.010647018440067768,
0.0026655299589037895,
0.06628280133008957,
-0.06094815954566002,
0.04308009892702103,
0.009249810129404068,
-0.0705002173781395,
0.0012580127222463489,
0.011122683994472027,
-0.02303984947502613,
0.034006692469120026,
0.01815623790025711,
0.07085702568292618,
0.057960145175457,
0.0007390343234874308,
-0.03514253720641136,
0.041036978363990784,
0.03743227571249008,
-0.015351573005318642,
-0.0021905251778662205,
0.12370481342077255,
-0.09756812453269958,
0.021811069920659065,
0.03100375458598137,
0.015272574499249458,
0.013222469948232174,
-0.026434484869241714,
0.020290277898311615,
0.03393200784921646,
0.007696643006056547,
6.14586282834309e-34,
-0.0037772702053189278,
-0.017277425155043602,
-0.05251108855009079,
0.06784318387508392,
0.0008111115894280374,
0.06521423161029816,
0.005685282405465841,
-0.040098369121551514,
0.05168772116303444,
0.055141836404800415,
-0.010319058783352375,
-0.02519644796848297,
0.0024391666520386934,
-0.034194812178611755,
0.059892576187849045,
0.02953169494867325,
-0.01222911011427641,
0.07286375761032104,
0.008321494795382023,
-0.0784231573343277,
0.04336393624544144,
-0.1057904064655304,
-0.04619953781366348,
-0.02961621806025505,
0.035936735570430756,
-0.08229958266019821,
-0.004264877177774906,
-0.014420676976442337,
0.10061056911945343,
-0.004734680987894535,
-0.02507406659424305,
0.10583765059709549,
0.1053771823644638,
-0.03606436029076576,
-0.015615120530128479,
-0.04712282121181488,
0.0016961751971393824,
-0.016883179545402527,
0.04081473872065544,
-0.004975494928658009,
-0.0317668542265892,
0.018632398918271065,
0.03875786066055298,
-0.06932245194911957,
-0.0619487501680851,
-0.04344535619020462,
-0.024403931573033333,
-0.010006737895309925,
-0.10134368389844894,
-0.07866743206977844,
0.019136350601911545,
-0.01400836743414402,
-0.032781895250082016,
0.058361221104860306,
0.04460859298706055,
0.03194376453757286,
-0.0023656832054257393,
0.05815263092517853,
0.061370301991701126,
0.0871039554476738,
-0.015884164720773697,
0.03949878364801407,
0.05752771347761154,
0.029891453683376312,
0.0653822049498558,
0.006512810010462999,
-0.022862115874886513,
-0.059589069336652756,
0.06217295303940773,
-0.009350256063044071,
0.01735253818333149,
-0.01707261987030506,
-0.01490708813071251,
-0.0330345518887043,
-0.07576556503772736,
0.05985791236162186,
0.04556741937994957,
0.022774923592805862,
0.04866801202297211,
0.039578258991241455,
0.01148165576159954,
-0.10799365490674973,
0.07229235768318176,
-0.005347359925508499,
-0.07010983675718307,
-0.012496084906160831,
-0.026268411427736282,
0.06455879658460617,
-0.09089520573616028,
0.07465565204620361,
0.016020987182855606,
-0.03368113189935684,
0.015348977409303188,
-0.005201282911002636,
-0.04639700427651405,
-2.5393181413386677e-33,
-0.08652258664369583,
0.029521415010094643,
-0.027499424293637276,
0.003971354104578495,
0.028974123299121857,
-0.05701493099331856,
-0.05566128343343735,
-0.014991682954132557,
-0.046061839908361435,
0.01158383209258318,
-0.10652877390384674,
0.05163848027586937,
0.018462909385561943,
0.03229686617851257,
-0.037115246057510376,
-0.008241950534284115,
0.1455225795507431,
0.11006508767604828,
0.014841652475297451,
-0.005909806117415428,
0.020186705514788628,
-0.0849527046084404,
-0.08747027069330215,
0.004500417970120907,
0.0468759648501873,
-0.0026440946385264397,
-0.014572546817362309,
0.029265146702528,
-0.04176142439246178,
-0.0004936086479574442,
-0.13971596956253052,
-0.07507969439029694,
-0.05052933096885681,
-0.014857880771160126,
-0.0018742004176601768,
-0.06356630474328995,
0.07399702817201614,
0.07013565301895142,
-0.0025438854936510324,
0.03503851592540741,
-0.0024995894636958838,
0.01178969070315361,
-0.08892447501420975,
-0.04271291196346283,
-0.03626522049307823,
-0.05070451274514198,
-0.04736312851309776,
-0.00845948327332735,
-0.002682316116988659,
-0.008122632279992104,
0.04184066876769066,
-0.04105042666196823,
0.027384726330637932,
0.05697496607899666,
-0.07146655768156052,
0.0885881632566452,
0.0016324700554832816,
0.03074825368821621,
0.025300385430455208,
0.08211461454629898,
-0.028813770040869713,
0.030787572264671326,
-0.05943832919001579,
0.03187354654073715,
0.0055482820607721806,
-0.012784031219780445,
-0.08858382701873779,
-0.04317672550678253,
0.07357382029294968,
0.012117826379835606,
0.14613184332847595,
-0.02945016138255596,
-0.06573081016540527,
-0.015172872692346573,
0.0223928764462471,
0.09407529979944229,
-0.007849838584661484,
-0.03833376243710518,
-0.030535606667399406,
0.04578614979982376,
-0.02405937761068344,
0.032738491892814636,
0.020006263628602028,
-0.036179319024086,
0.03236859664320946,
0.026111740618944168,
0.10396017879247665,
-0.08978156745433807,
-0.005038092378526926,
-0.013467390090227127,
-0.016240138560533524,
-0.04391317442059517,
0.0010463244980201125,
-0.11183323711156845,
-0.08932758122682571,
-4.333016789814792e-8,
0.041505761444568634,
-0.026801208034157753,
0.05522308871150017,
-0.001028870465233922,
0.11114734411239624,
-0.0007999332738108933,
-0.0702243521809578,
0.01775742881000042,
-0.055983997881412506,
0.00766270887106657,
0.07184082269668579,
-0.0009243798558600247,
0.027752431109547615,
0.06058729812502861,
0.04976034536957741,
0.01094765868037939,
-0.07606787979602814,
-0.00028801997541449964,
-0.03416105732321739,
0.01391600538045168,
0.02911793813109398,
0.005119241774082184,
0.01685766689479351,
-0.03526381775736809,
-0.006511572282761335,
-0.07224787026643753,
0.0557730495929718,
0.02872985228896141,
-0.03331650793552399,
-0.02617301419377327,
-0.05220472812652588,
-0.04482753947377205,
0.054832037538290024,
0.06880985200405121,
0.026220189407467842,
0.009331549517810345,
-0.029832905158400536,
-0.07108951359987259,
0.0010674585355445743,
0.021776370704174042,
0.04587545618414879,
-0.03748910874128342,
0.08845917135477066,
0.05614158883690834,
0.06144166365265846,
-0.011150715872645378,
-0.002469313098117709,
-0.0072946189902722836,
-0.08636742830276489,
-0.033307962119579315,
0.045152708888053894,
-0.019889716058969498,
-0.008684870786964893,
-0.006004906725138426,
0.07815166562795639,
0.039899345487356186,
0.022375503554940224,
-0.00540817528963089,
-0.056228455156087875,
0.018964888527989388,
-0.04766656458377838,
0.1035139337182045,
-0.09099185466766357,
-0.05777440592646599
] | null | null | null | null | null | null | null |
[
-0.03269214183092117,
0.015096231363713741,
0.064546599984169,
0.006123065482825041,
0.06094064563512802,
-0.021218232810497284,
0.16168227791786194,
0.029089029878377914,
0.10794054716825485,
0.029605863615870476,
-0.030314138159155846,
-0.026092005893588066,
0.03953910246491432,
-0.07776082307100296,
-0.03950701653957367,
-0.031059954315423965,
0.07714146375656128,
-0.042231541126966476,
-0.10924626141786575,
-0.02291053906083107,
-0.025959422811865807,
-0.07163640856742859,
0.053837183862924576,
-0.007713041268289089,
-0.04523015394806862,
-0.06746690720319748,
0.025061707943677902,
-0.08118470013141632,
-0.039803601801395416,
-0.00842046644538641,
0.017408445477485657,
-0.013182489201426506,
0.03440270200371742,
-0.029854848980903625,
0.005510421469807625,
-0.02103029005229473,
-0.004839759785681963,
0.020250415429472923,
-0.0019438163144513965,
0.06564103066921234,
-0.004989220295101404,
0.06385333836078644,
-0.0009352386696264148,
0.06444714218378067,
-0.027768347412347794,
0.028841743245720863,
0.05448026955127716,
0.09729813039302826,
-0.08698897808790207,
-0.015608380548655987,
-0.017461851239204407,
0.001975025050342083,
0.04638461768627167,
0.022551454603672028,
-0.010382630862295628,
-0.1457165777683258,
-0.0439956896007061,
-0.026395762339234352,
-0.044866085052490234,
0.11449434608221054,
0.022229395806789398,
-0.03901464864611626,
-0.026696668937802315,
-0.04763595014810562,
0.01749756932258606,
0.02123468741774559,
0.02702263742685318,
0.056847814470529556,
-0.01641584374010563,
0.07327113300561905,
-0.04468607157468796,
0.015827801078557968,
-0.061606019735336304,
-0.02200327441096306,
0.04887142404913902,
-0.05948584899306297,
-0.04152565822005272,
-0.012819847092032433,
-0.028927652165293694,
0.003819930600002408,
0.014103405177593231,
-0.03469003364443779,
0.019663110375404358,
-0.0510065034031868,
0.028131769970059395,
-0.11101903021335602,
0.030532347038388252,
-0.002369146328419447,
0.03267486393451691,
-0.039135247468948364,
-0.16178947687149048,
-0.06346393376588821,
0.00243832403793931,
0.05950981006026268,
0.020346714183688164,
0.05216940864920616,
-0.02251456119120121,
0.010647018440067768,
0.0026655299589037895,
0.06628280133008957,
-0.06094815954566002,
0.04308009892702103,
0.009249810129404068,
-0.0705002173781395,
0.0012580127222463489,
0.011122683994472027,
-0.02303984947502613,
0.034006692469120026,
0.01815623790025711,
0.07085702568292618,
0.057960145175457,
0.0007390343234874308,
-0.03514253720641136,
0.041036978363990784,
0.03743227571249008,
-0.015351573005318642,
-0.0021905251778662205,
0.12370481342077255,
-0.09756812453269958,
0.021811069920659065,
0.03100375458598137,
0.015272574499249458,
0.013222469948232174,
-0.026434484869241714,
0.020290277898311615,
0.03393200784921646,
0.007696643006056547,
6.14586282834309e-34,
-0.0037772702053189278,
-0.017277425155043602,
-0.05251108855009079,
0.06784318387508392,
0.0008111115894280374,
0.06521423161029816,
0.005685282405465841,
-0.040098369121551514,
0.05168772116303444,
0.055141836404800415,
-0.010319058783352375,
-0.02519644796848297,
0.0024391666520386934,
-0.034194812178611755,
0.059892576187849045,
0.02953169494867325,
-0.01222911011427641,
0.07286375761032104,
0.008321494795382023,
-0.0784231573343277,
0.04336393624544144,
-0.1057904064655304,
-0.04619953781366348,
-0.02961621806025505,
0.035936735570430756,
-0.08229958266019821,
-0.004264877177774906,
-0.014420676976442337,
0.10061056911945343,
-0.004734680987894535,
-0.02507406659424305,
0.10583765059709549,
0.1053771823644638,
-0.03606436029076576,
-0.015615120530128479,
-0.04712282121181488,
0.0016961751971393824,
-0.016883179545402527,
0.04081473872065544,
-0.004975494928658009,
-0.0317668542265892,
0.018632398918271065,
0.03875786066055298,
-0.06932245194911957,
-0.0619487501680851,
-0.04344535619020462,
-0.024403931573033333,
-0.010006737895309925,
-0.10134368389844894,
-0.07866743206977844,
0.019136350601911545,
-0.01400836743414402,
-0.032781895250082016,
0.058361221104860306,
0.04460859298706055,
0.03194376453757286,
-0.0023656832054257393,
0.05815263092517853,
0.061370301991701126,
0.0871039554476738,
-0.015884164720773697,
0.03949878364801407,
0.05752771347761154,
0.029891453683376312,
0.0653822049498558,
0.006512810010462999,
-0.022862115874886513,
-0.059589069336652756,
0.06217295303940773,
-0.009350256063044071,
0.01735253818333149,
-0.01707261987030506,
-0.01490708813071251,
-0.0330345518887043,
-0.07576556503772736,
0.05985791236162186,
0.04556741937994957,
0.022774923592805862,
0.04866801202297211,
0.039578258991241455,
0.01148165576159954,
-0.10799365490674973,
0.07229235768318176,
-0.005347359925508499,
-0.07010983675718307,
-0.012496084906160831,
-0.026268411427736282,
0.06455879658460617,
-0.09089520573616028,
0.07465565204620361,
0.016020987182855606,
-0.03368113189935684,
0.015348977409303188,
-0.005201282911002636,
-0.04639700427651405,
-2.5393181413386677e-33,
-0.08652258664369583,
0.029521415010094643,
-0.027499424293637276,
0.003971354104578495,
0.028974123299121857,
-0.05701493099331856,
-0.05566128343343735,
-0.014991682954132557,
-0.046061839908361435,
0.01158383209258318,
-0.10652877390384674,
0.05163848027586937,
0.018462909385561943,
0.03229686617851257,
-0.037115246057510376,
-0.008241950534284115,
0.1455225795507431,
0.11006508767604828,
0.014841652475297451,
-0.005909806117415428,
0.020186705514788628,
-0.0849527046084404,
-0.08747027069330215,
0.004500417970120907,
0.0468759648501873,
-0.0026440946385264397,
-0.014572546817362309,
0.029265146702528,
-0.04176142439246178,
-0.0004936086479574442,
-0.13971596956253052,
-0.07507969439029694,
-0.05052933096885681,
-0.014857880771160126,
-0.0018742004176601768,
-0.06356630474328995,
0.07399702817201614,
0.07013565301895142,
-0.0025438854936510324,
0.03503851592540741,
-0.0024995894636958838,
0.01178969070315361,
-0.08892447501420975,
-0.04271291196346283,
-0.03626522049307823,
-0.05070451274514198,
-0.04736312851309776,
-0.00845948327332735,
-0.002682316116988659,
-0.008122632279992104,
0.04184066876769066,
-0.04105042666196823,
0.027384726330637932,
0.05697496607899666,
-0.07146655768156052,
0.0885881632566452,
0.0016324700554832816,
0.03074825368821621,
0.025300385430455208,
0.08211461454629898,
-0.028813770040869713,
0.030787572264671326,
-0.05943832919001579,
0.03187354654073715,
0.0055482820607721806,
-0.012784031219780445,
-0.08858382701873779,
-0.04317672550678253,
0.07357382029294968,
0.012117826379835606,
0.14613184332847595,
-0.02945016138255596,
-0.06573081016540527,
-0.015172872692346573,
0.0223928764462471,
0.09407529979944229,
-0.007849838584661484,
-0.03833376243710518,
-0.030535606667399406,
0.04578614979982376,
-0.02405937761068344,
0.032738491892814636,
0.020006263628602028,
-0.036179319024086,
0.03236859664320946,
0.026111740618944168,
0.10396017879247665,
-0.08978156745433807,
-0.005038092378526926,
-0.013467390090227127,
-0.016240138560533524,
-0.04391317442059517,
0.0010463244980201125,
-0.11183323711156845,
-0.08932758122682571,
-4.333016789814792e-8,
0.041505761444568634,
-0.026801208034157753,
0.05522308871150017,
-0.001028870465233922,
0.11114734411239624,
-0.0007999332738108933,
-0.0702243521809578,
0.01775742881000042,
-0.055983997881412506,
0.00766270887106657,
0.07184082269668579,
-0.0009243798558600247,
0.027752431109547615,
0.06058729812502861,
0.04976034536957741,
0.01094765868037939,
-0.07606787979602814,
-0.00028801997541449964,
-0.03416105732321739,
0.01391600538045168,
0.02911793813109398,
0.005119241774082184,
0.01685766689479351,
-0.03526381775736809,
-0.006511572282761335,
-0.07224787026643753,
0.0557730495929718,
0.02872985228896141,
-0.03331650793552399,
-0.02617301419377327,
-0.05220472812652588,
-0.04482753947377205,
0.054832037538290024,
0.06880985200405121,
0.026220189407467842,
0.009331549517810345,
-0.029832905158400536,
-0.07108951359987259,
0.0010674585355445743,
0.021776370704174042,
0.04587545618414879,
-0.03748910874128342,
0.08845917135477066,
0.05614158883690834,
0.06144166365265846,
-0.011150715872645378,
-0.002469313098117709,
-0.0072946189902722836,
-0.08636742830276489,
-0.033307962119579315,
0.045152708888053894,
-0.019889716058969498,
-0.008684870786964893,
-0.006004906725138426,
0.07815166562795639,
0.039899345487356186,
0.022375503554940224,
-0.00540817528963089,
-0.056228455156087875,
0.018964888527989388,
-0.04766656458377838,
0.1035139337182045,
-0.09099185466766357,
-0.05777440592646599
] |
1402.3128
|
Wei-Chun Chu
|
Wei-Chun Chu, Toru Morishita, and C. D. Lin
|
Probing dipole-forbidden autoionizing states by isolated attosecond
pulses
|
10 pages, 6 figures
|
Physical Review A 89, 033427 (2014)
|
10.1103/PhysRevA.89.033427
| null |
physics.atom-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a general technique to retrieve the information of
dipole-forbidden resonances in the autoionizing region. In the simulation, a
helium atom is pumped by an isolated attosecond pulse in the extreme
ultraviolet (EUV) combined with a few-femtosecond laser pulse. The excited wave
packet consists of the $^1S$, $^1P$, and $^1D$ states, including the background
continua, near the $2s2p(^1P)$ doubly excited state. The resultant electron
spectra with various laser intensities and time delays between the EUV and
laser pulses are obtained by a multilevel model and an ab initio time-dependent
Schr\"odinger equation calculation. By taking the ab initio calculation as a
"virtual measurement", the dipole-forbidden resonances are characterized by the
multilevel model. We found that in contrast to the common assumption, the
nonresonant coupling between the continua plays a significant role in the
time-delayed electron spectra, which shows the correlation effect between
photoelectrons before they leave the core. This technique takes the advantages
of ultrashort pulses uniquely and would be a timely test for the current
attosecond technology.
|
[
{
"created": "Thu, 13 Feb 2014 13:42:25 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 2014 14:58:19 GMT",
"version": "v2"
}
] |
2014-03-28
|
[
[
"Chu",
"Wei-Chun",
""
],
[
"Morishita",
"Toru",
""
],
[
"Lin",
"C. D.",
""
]
] |
[
-0.06319288909435272,
0.007194581441581249,
-0.046839457005262375,
0.02759658172726631,
0.008995598182082176,
0.019329622387886047,
-0.03622470796108246,
-0.0005190943484194577,
-0.023736031726002693,
-0.048308320343494415,
0.03367571905255318,
-0.04901191219687462,
-0.03836210072040558,
-0.024240698665380478,
0.06904920935630798,
0.0009191688732244074,
0.03524595871567726,
-0.07874710112810135,
-0.017721733078360558,
0.0290718711912632,
0.04249795526266098,
-0.08755446970462799,
0.011952663771808147,
-0.03930042311549187,
0.040978167206048965,
0.01402230653911829,
0.000928729132283479,
-0.05084022507071495,
0.034266505390405655,
-0.004659350495785475,
0.059556689113378525,
-0.05591345205903053,
-0.05248928815126419,
0.0710965245962143,
0.029660286381840706,
-0.04867112636566162,
0.056658219546079636,
-0.033026065677404404,
-0.009655473753809929,
-0.03308048099279404,
0.0863935723900795,
0.004299204796552658,
-0.10265219211578369,
-0.017340730875730515,
-0.009396761655807495,
0.029028691351413727,
0.06247291341423988,
-0.033005066215991974,
-0.052638329565525055,
-0.0016351982485502958,
0.06423372775316238,
0.012967838905751705,
0.050350338220596313,
-0.023070506751537323,
0.029712922871112823,
0.0430118702352047,
0.0624733604490757,
0.007598405238240957,
0.007506371010094881,
-0.034436482936143875,
-0.09317611902952194,
-0.03922715038061142,
-0.02770792879164219,
-0.012239758856594563,
0.087921142578125,
0.01748332940042019,
0.03830168768763542,
-0.026640070602297783,
-0.022752339020371437,
0.016953781247138977,
-0.06143886223435402,
-0.006721493322402239,
0.01306573860347271,
0.010049937292933464,
0.025389978662133217,
-0.06156201288104057,
0.020447637885808945,
0.056765682995319366,
0.004420919809490442,
-0.02093810960650444,
0.03146011754870415,
-0.0184079147875309,
-0.0738348588347435,
0.0029312330298125744,
-0.08297055214643478,
0.04770471528172493,
-0.03597293421626091,
0.029662257060408592,
-0.052923381328582764,
-0.08035234361886978,
-0.04532231390476227,
-0.09263183921575546,
-0.04338911920785904,
-0.017227845266461372,
0.0338599756360054,
0.06890576332807541,
0.14983071386814117,
0.006238162983208895,
0.03688490763306618,
0.000007149526936700568,
0.04730946570634842,
-0.020103121176362038,
-0.01563384383916855,
0.056558944284915924,
-0.07052183151245117,
-0.06198851019144058,
0.03248826041817665,
0.09653101116418839,
-0.09629136323928833,
0.038473568856716156,
0.048235174268484116,
-0.04396028816699982,
0.02006823942065239,
-0.059298135340213776,
0.03535468876361847,
0.03199686110019684,
-0.0032783534843474627,
-0.04210396483540535,
0.04991605132818222,
-0.07160685956478119,
-0.024477558210492134,
0.033513713628053665,
0.11262387782335281,
0.07295317202806473,
0.040540263056755066,
0.024631809443235397,
-0.03753916546702385,
4.10917082672367e-33,
0.042328640818595886,
0.025109220296144485,
-0.03284443914890289,
-0.022676855325698853,
-0.027206968516111374,
0.029239721596240997,
0.014780828729271889,
-0.019203387200832367,
-0.07403168827295303,
0.013300749473273754,
-0.013818678446114063,
-0.010608742013573647,
0.08015773445367813,
-0.02361932210624218,
-0.04829777032136917,
0.02682986855506897,
0.002446888480335474,
0.051457472145557404,
0.0033443751744925976,
0.05100278928875923,
0.04043710604310036,
0.013946997001767159,
0.020413100719451904,
0.08668000251054764,
-0.10920777171850204,
0.023326383903622627,
-0.017579013481736183,
0.05771623179316521,
-0.02226986549794674,
0.00035875127650797367,
0.02845362015068531,
0.10619627684354782,
-0.06797391176223755,
-0.04910729452967644,
0.06351927667856216,
-0.009371625259518623,
0.0022065946832299232,
0.016683872789144516,
-0.020534366369247437,
-0.0533086434006691,
0.01996484026312828,
-0.0038121736142784357,
0.006300957407802343,
-0.010984590277075768,
0.00851691048592329,
-0.07578355073928833,
-0.005524642299860716,
-0.09183824807405472,
0.011241350322961807,
-0.0262506864964962,
-0.015255068428814411,
-0.009361211210489273,
0.04167323186993599,
-0.029910122975707054,
0.07223043590784073,
0.041008010506629944,
0.1214851662516594,
0.03279643505811691,
-0.02377713844180107,
0.009380413219332695,
0.025775205343961716,
-0.01682274043560028,
0.08321333676576614,
0.01604645699262619,
-0.06605443358421326,
0.0779893770813942,
-0.0819031298160553,
0.001960929948836565,
0.0691373199224472,
0.01801612600684166,
-0.009406751953065395,
0.09154471009969711,
0.1377536952495575,
-0.0503019317984581,
0.12893277406692505,
-0.02378270961344242,
0.01344959158450365,
0.07313375920057297,
0.0074685243889689445,
0.031100908294320107,
0.06117212027311325,
-0.09512143582105637,
0.04473120719194412,
0.04054870456457138,
-0.007824676111340523,
-0.04451972618699074,
-0.04598623514175415,
-0.041534777730703354,
-0.06644833832979202,
0.01633356884121895,
-0.062187183648347855,
-0.038839418441057205,
-0.011799432337284088,
-0.10132904350757599,
-0.049731336534023285,
-5.0255234071453535e-33,
0.11712492257356644,
0.019322168081998825,
-0.021010125055909157,
-0.01195569895207882,
0.05853039398789406,
0.040234047919511795,
0.02910391241312027,
0.09041526913642883,
-0.05789024755358696,
-0.0470200814306736,
0.13998772203922272,
0.045853178948163986,
-0.05465450882911682,
-0.008069604635238647,
-0.018608275800943375,
0.05870480462908745,
0.027682408690452576,
-0.027275273576378822,
0.12440448999404907,
0.002498454414308071,
0.008548879995942116,
-0.013242635875940323,
0.009248402900993824,
0.03380926698446274,
0.011914444155991077,
-0.012366910465061665,
-0.01174559909850359,
-0.024624181911349297,
0.03623450547456741,
-0.050249408930540085,
-0.03370088338851929,
0.05858873948454857,
-0.02618899568915367,
0.0056432029232382774,
-0.0814407542347908,
-0.018050968647003174,
-0.06991195678710938,
0.04352204129099846,
0.01133631356060505,
-0.0074841976165771484,
0.05169321224093437,
-0.0009985832730308175,
-0.05071818456053734,
-0.0705891102552414,
0.06192770227789879,
0.036250315606594086,
-0.08460438996553421,
-0.008595528081059456,
-0.05939362198114395,
0.002371567767113447,
-0.09291970729827881,
-0.01429372001439333,
0.11039108037948608,
0.08420147001743317,
0.02937285043299198,
0.000794708845205605,
-0.0025066451635211706,
0.03787796199321747,
0.09844112396240234,
0.04528866335749626,
-0.023447997868061066,
-0.05661087855696678,
0.046542245894670486,
-0.0194926168769598,
-0.03568492457270622,
-0.049129586666822433,
-0.06712241470813751,
-0.029716745018959045,
0.006896624807268381,
-0.008733847178518772,
-0.021856188774108887,
-0.04127926379442215,
0.004794568754732609,
0.00935092568397522,
-0.0343865305185318,
0.00218208902515471,
-0.0016796072013676167,
-0.05417377129197121,
0.023596204817295074,
-0.08205199241638184,
-0.07347230613231659,
0.04713086783885956,
-0.09254055470228195,
-0.009074585512280464,
0.03278486430644989,
0.03297535702586174,
-0.045738354325294495,
-0.016295695677399635,
0.009134173393249512,
-0.13501007854938507,
-0.08627096563577652,
0.015310097485780716,
-0.03188569098711014,
-0.07874976843595505,
0.11811646074056625,
-6.339343627814742e-8,
0.03660416603088379,
0.0024534862022846937,
-0.010001527145504951,
0.06631302088499069,
0.1260339617729187,
0.055348969995975494,
-0.08290411531925201,
-0.060948826372623444,
0.039603814482688904,
-0.013709639199078083,
0.05882714316248894,
-0.06356988847255707,
0.008832172490656376,
-0.07641037553548813,
0.025700539350509644,
0.05694521218538284,
0.03862457349896431,
-0.0723021924495697,
-0.00912055280059576,
0.04002341255545616,
-0.01444301102310419,
0.04572804644703865,
0.04957431182265282,
-0.05792028084397316,
-0.017713448032736778,
0.0012665194226428866,
-0.022596197202801704,
-0.04752843827009201,
0.04051839932799339,
-0.032819490879774094,
-0.062096938490867615,
-0.027440788224339485,
0.051680587232112885,
0.0527309849858284,
-0.05900690332055092,
-0.01613275706768036,
-0.09756729006767273,
0.03992302715778351,
-0.02341345325112343,
0.03676324710249901,
0.02200785093009472,
0.027604801580309868,
-0.05472397804260254,
0.007060015108436346,
0.009057028219103813,
0.13940612971782684,
-0.038489099591970444,
-0.0061721038073301315,
-0.0019513060105964541,
0.052723951637744904,
-0.08861340582370758,
0.02342219464480877,
-0.03020702861249447,
-0.044685304164886475,
-0.060166385024785995,
-0.021603070199489594,
-0.05596247315406799,
-0.0175995584577322,
0.05781620368361473,
0.03460598364472389,
0.1372641623020172,
-0.016022125259041786,
-0.05226418003439903,
0.0571901798248291
] | null | null | null | null | null | null | null |
[
-0.06319288909435272,
0.007194581441581249,
-0.046839457005262375,
0.02759658172726631,
0.008995598182082176,
0.019329622387886047,
-0.03622470796108246,
-0.0005190943484194577,
-0.023736031726002693,
-0.048308320343494415,
0.03367571905255318,
-0.04901191219687462,
-0.03836210072040558,
-0.024240698665380478,
0.06904920935630798,
0.0009191688732244074,
0.03524595871567726,
-0.07874710112810135,
-0.017721733078360558,
0.0290718711912632,
0.04249795526266098,
-0.08755446970462799,
0.011952663771808147,
-0.03930042311549187,
0.040978167206048965,
0.01402230653911829,
0.000928729132283479,
-0.05084022507071495,
0.034266505390405655,
-0.004659350495785475,
0.059556689113378525,
-0.05591345205903053,
-0.05248928815126419,
0.0710965245962143,
0.029660286381840706,
-0.04867112636566162,
0.056658219546079636,
-0.033026065677404404,
-0.009655473753809929,
-0.03308048099279404,
0.0863935723900795,
0.004299204796552658,
-0.10265219211578369,
-0.017340730875730515,
-0.009396761655807495,
0.029028691351413727,
0.06247291341423988,
-0.033005066215991974,
-0.052638329565525055,
-0.0016351982485502958,
0.06423372775316238,
0.012967838905751705,
0.050350338220596313,
-0.023070506751537323,
0.029712922871112823,
0.0430118702352047,
0.0624733604490757,
0.007598405238240957,
0.007506371010094881,
-0.034436482936143875,
-0.09317611902952194,
-0.03922715038061142,
-0.02770792879164219,
-0.012239758856594563,
0.087921142578125,
0.01748332940042019,
0.03830168768763542,
-0.026640070602297783,
-0.022752339020371437,
0.016953781247138977,
-0.06143886223435402,
-0.006721493322402239,
0.01306573860347271,
0.010049937292933464,
0.025389978662133217,
-0.06156201288104057,
0.020447637885808945,
0.056765682995319366,
0.004420919809490442,
-0.02093810960650444,
0.03146011754870415,
-0.0184079147875309,
-0.0738348588347435,
0.0029312330298125744,
-0.08297055214643478,
0.04770471528172493,
-0.03597293421626091,
0.029662257060408592,
-0.052923381328582764,
-0.08035234361886978,
-0.04532231390476227,
-0.09263183921575546,
-0.04338911920785904,
-0.017227845266461372,
0.0338599756360054,
0.06890576332807541,
0.14983071386814117,
0.006238162983208895,
0.03688490763306618,
0.000007149526936700568,
0.04730946570634842,
-0.020103121176362038,
-0.01563384383916855,
0.056558944284915924,
-0.07052183151245117,
-0.06198851019144058,
0.03248826041817665,
0.09653101116418839,
-0.09629136323928833,
0.038473568856716156,
0.048235174268484116,
-0.04396028816699982,
0.02006823942065239,
-0.059298135340213776,
0.03535468876361847,
0.03199686110019684,
-0.0032783534843474627,
-0.04210396483540535,
0.04991605132818222,
-0.07160685956478119,
-0.024477558210492134,
0.033513713628053665,
0.11262387782335281,
0.07295317202806473,
0.040540263056755066,
0.024631809443235397,
-0.03753916546702385,
4.10917082672367e-33,
0.042328640818595886,
0.025109220296144485,
-0.03284443914890289,
-0.022676855325698853,
-0.027206968516111374,
0.029239721596240997,
0.014780828729271889,
-0.019203387200832367,
-0.07403168827295303,
0.013300749473273754,
-0.013818678446114063,
-0.010608742013573647,
0.08015773445367813,
-0.02361932210624218,
-0.04829777032136917,
0.02682986855506897,
0.002446888480335474,
0.051457472145557404,
0.0033443751744925976,
0.05100278928875923,
0.04043710604310036,
0.013946997001767159,
0.020413100719451904,
0.08668000251054764,
-0.10920777171850204,
0.023326383903622627,
-0.017579013481736183,
0.05771623179316521,
-0.02226986549794674,
0.00035875127650797367,
0.02845362015068531,
0.10619627684354782,
-0.06797391176223755,
-0.04910729452967644,
0.06351927667856216,
-0.009371625259518623,
0.0022065946832299232,
0.016683872789144516,
-0.020534366369247437,
-0.0533086434006691,
0.01996484026312828,
-0.0038121736142784357,
0.006300957407802343,
-0.010984590277075768,
0.00851691048592329,
-0.07578355073928833,
-0.005524642299860716,
-0.09183824807405472,
0.011241350322961807,
-0.0262506864964962,
-0.015255068428814411,
-0.009361211210489273,
0.04167323186993599,
-0.029910122975707054,
0.07223043590784073,
0.041008010506629944,
0.1214851662516594,
0.03279643505811691,
-0.02377713844180107,
0.009380413219332695,
0.025775205343961716,
-0.01682274043560028,
0.08321333676576614,
0.01604645699262619,
-0.06605443358421326,
0.0779893770813942,
-0.0819031298160553,
0.001960929948836565,
0.0691373199224472,
0.01801612600684166,
-0.009406751953065395,
0.09154471009969711,
0.1377536952495575,
-0.0503019317984581,
0.12893277406692505,
-0.02378270961344242,
0.01344959158450365,
0.07313375920057297,
0.0074685243889689445,
0.031100908294320107,
0.06117212027311325,
-0.09512143582105637,
0.04473120719194412,
0.04054870456457138,
-0.007824676111340523,
-0.04451972618699074,
-0.04598623514175415,
-0.041534777730703354,
-0.06644833832979202,
0.01633356884121895,
-0.062187183648347855,
-0.038839418441057205,
-0.011799432337284088,
-0.10132904350757599,
-0.049731336534023285,
-5.0255234071453535e-33,
0.11712492257356644,
0.019322168081998825,
-0.021010125055909157,
-0.01195569895207882,
0.05853039398789406,
0.040234047919511795,
0.02910391241312027,
0.09041526913642883,
-0.05789024755358696,
-0.0470200814306736,
0.13998772203922272,
0.045853178948163986,
-0.05465450882911682,
-0.008069604635238647,
-0.018608275800943375,
0.05870480462908745,
0.027682408690452576,
-0.027275273576378822,
0.12440448999404907,
0.002498454414308071,
0.008548879995942116,
-0.013242635875940323,
0.009248402900993824,
0.03380926698446274,
0.011914444155991077,
-0.012366910465061665,
-0.01174559909850359,
-0.024624181911349297,
0.03623450547456741,
-0.050249408930540085,
-0.03370088338851929,
0.05858873948454857,
-0.02618899568915367,
0.0056432029232382774,
-0.0814407542347908,
-0.018050968647003174,
-0.06991195678710938,
0.04352204129099846,
0.01133631356060505,
-0.0074841976165771484,
0.05169321224093437,
-0.0009985832730308175,
-0.05071818456053734,
-0.0705891102552414,
0.06192770227789879,
0.036250315606594086,
-0.08460438996553421,
-0.008595528081059456,
-0.05939362198114395,
0.002371567767113447,
-0.09291970729827881,
-0.01429372001439333,
0.11039108037948608,
0.08420147001743317,
0.02937285043299198,
0.000794708845205605,
-0.0025066451635211706,
0.03787796199321747,
0.09844112396240234,
0.04528866335749626,
-0.023447997868061066,
-0.05661087855696678,
0.046542245894670486,
-0.0194926168769598,
-0.03568492457270622,
-0.049129586666822433,
-0.06712241470813751,
-0.029716745018959045,
0.006896624807268381,
-0.008733847178518772,
-0.021856188774108887,
-0.04127926379442215,
0.004794568754732609,
0.00935092568397522,
-0.0343865305185318,
0.00218208902515471,
-0.0016796072013676167,
-0.05417377129197121,
0.023596204817295074,
-0.08205199241638184,
-0.07347230613231659,
0.04713086783885956,
-0.09254055470228195,
-0.009074585512280464,
0.03278486430644989,
0.03297535702586174,
-0.045738354325294495,
-0.016295695677399635,
0.009134173393249512,
-0.13501007854938507,
-0.08627096563577652,
0.015310097485780716,
-0.03188569098711014,
-0.07874976843595505,
0.11811646074056625,
-6.339343627814742e-8,
0.03660416603088379,
0.0024534862022846937,
-0.010001527145504951,
0.06631302088499069,
0.1260339617729187,
0.055348969995975494,
-0.08290411531925201,
-0.060948826372623444,
0.039603814482688904,
-0.013709639199078083,
0.05882714316248894,
-0.06356988847255707,
0.008832172490656376,
-0.07641037553548813,
0.025700539350509644,
0.05694521218538284,
0.03862457349896431,
-0.0723021924495697,
-0.00912055280059576,
0.04002341255545616,
-0.01444301102310419,
0.04572804644703865,
0.04957431182265282,
-0.05792028084397316,
-0.017713448032736778,
0.0012665194226428866,
-0.022596197202801704,
-0.04752843827009201,
0.04051839932799339,
-0.032819490879774094,
-0.062096938490867615,
-0.027440788224339485,
0.051680587232112885,
0.0527309849858284,
-0.05900690332055092,
-0.01613275706768036,
-0.09756729006767273,
0.03992302715778351,
-0.02341345325112343,
0.03676324710249901,
0.02200785093009472,
0.027604801580309868,
-0.05472397804260254,
0.007060015108436346,
0.009057028219103813,
0.13940612971782684,
-0.038489099591970444,
-0.0061721038073301315,
-0.0019513060105964541,
0.052723951637744904,
-0.08861340582370758,
0.02342219464480877,
-0.03020702861249447,
-0.044685304164886475,
-0.060166385024785995,
-0.021603070199489594,
-0.05596247315406799,
-0.0175995584577322,
0.05781620368361473,
0.03460598364472389,
0.1372641623020172,
-0.016022125259041786,
-0.05226418003439903,
0.0571901798248291
] |
1402.3129
|
J\"orn Schwandt
|
Joern Schwandt, Eckhart Fretwurst, Robert Klanner, Ioannis Kopsalis,
Jiaguo Zhang
|
Design and First Tests of a Radiation-Hard Pixel Sensor for the European
X-Ray Free-Electron Laser
| null | null |
10.1109/TNS.2014.2304239
| null |
physics.ins-det
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
The high intensity and high repetition rate of the European X-ray
Free-Electron Laser, presently under construction in Hamburg, requires silicon
sensors which can stand X-ray doses of up to 1 GGy for 3 years of operation at
high bias voltage. Within the AGIPD Collaboration the X-ray-radiation damage in
MOS Capacitors and Gate-Controlled Diodes fabricated by four vendors on
high-ohmic n-type silicon with two crystal orientations and dif- ferent
technological parameters, has been studied for doses between 1 kGy and 1 GGy.
The extracted values of oxide-charge and surface-current densi- ties have been
used in TCAD simulations, and the layout and technological parameters of the
AGIPD pixel sensor optimized. It is found that the op- timized layout for high
X-ray doses is significantly different from the one for non-irradiated sensors.
First sensors and test structures have been de-livered in early 2013.
Measurement results for X-ray doses of 0 to 10 MGy and their comparison to
simulations are presented. They demonstrate that the optimization has been
successful and that the sensors fulfill the required specifications.
|
[
{
"created": "Thu, 13 Feb 2014 13:43:56 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Schwandt",
"Joern",
""
],
[
"Fretwurst",
"Eckhart",
""
],
[
"Klanner",
"Robert",
""
],
[
"Kopsalis",
"Ioannis",
""
],
[
"Zhang",
"Jiaguo",
""
]
] |
[
-0.0028275325894355774,
-0.011250639334321022,
0.031733375042676926,
-0.011201993562281132,
0.025650208815932274,
-0.1401885747909546,
0.13570447266101837,
0.04827719181776047,
-0.011051767505705357,
-0.0012248518178239465,
0.02747737057507038,
-0.03997671604156494,
0.10153111815452576,
0.023373616859316826,
-0.0350460410118103,
0.03270917758345604,
0.036080192774534225,
-0.020831437781453133,
0.007278696168214083,
0.028318878263235092,
0.042354922741651535,
-0.06364203989505768,
0.03435618430376053,
-0.07836150377988815,
-0.035834331065416336,
0.014768147841095924,
0.03303615748882294,
-0.10438983142375946,
-0.03611195832490921,
0.023292791098356247,
0.0006046098424121737,
0.003501124680042267,
0.03369107097387314,
0.017746372148394585,
0.004620844032615423,
0.0008716132724657655,
0.0622989721596241,
-0.012281320057809353,
-0.0684448704123497,
-0.03207105025649071,
-0.01273272279649973,
-0.004224823787808418,
0.048565443605184555,
-0.0576600655913353,
0.09406480938196182,
-0.010844361037015915,
0.04959138110280037,
-0.12216095626354218,
-0.07086094468832016,
0.02417169325053692,
0.11726745218038559,
0.005445617716759443,
0.0009588669054210186,
-0.02454644814133644,
0.0018571617547422647,
0.0038137745577841997,
-0.03565391153097153,
-0.013518907129764557,
-0.07202377170324326,
0.021680042147636414,
-0.016174426302313805,
0.009987386874854565,
0.0004531213780865073,
0.0440332368016243,
0.0496538020670414,
-0.03456113860011101,
0.029731420800089836,
-0.03655325993895531,
-0.05906026437878609,
-0.01956493780016899,
-0.04049399495124817,
0.036078136414289474,
0.056880220770835876,
-0.09385703504085541,
-0.057270538061857224,
0.02763788029551506,
0.04644141346216202,
0.029106315225362778,
0.07004417479038239,
-0.07401493936777115,
-0.03035885840654373,
0.03981059044599533,
-0.0006673689931631088,
0.053821004927158356,
-0.021830923855304718,
0.0017983956495299935,
-0.023437466472387314,
0.09877640008926392,
0.007746283896267414,
-0.01134520210325718,
-0.0311589315533638,
0.051164060831069946,
-0.07696253806352615,
0.08152492344379425,
0.051981959491968155,
0.0067958831787109375,
0.0868467465043068,
0.016645455732941628,
-0.10172133892774582,
0.004965050145983696,
0.01857752725481987,
0.019079936668276787,
-0.05922811105847359,
0.1003703847527504,
-0.07097523659467697,
-0.08791405707597733,
-0.0069733187556266785,
0.06234971433877945,
-0.14851638674736023,
0.031115375459194183,
0.04743194207549095,
-0.0071477764286100864,
0.008069721050560474,
-0.0339229591190815,
0.03425902873277664,
-0.03741074725985527,
-0.012704778462648392,
-0.03711865469813347,
-0.0014684217749163508,
-0.12004876136779785,
-0.11032858490943909,
-0.04719924181699753,
-0.07390228658914566,
0.011760581284761429,
0.007941902615129948,
0.03654993698000908,
0.04484989121556282,
1.88394257187281e-33,
-0.008196551352739334,
0.09850430488586426,
-0.060624346137046814,
-0.08543972671031952,
0.005660473369061947,
0.04089238867163658,
0.043687786906957626,
0.08240050822496414,
-0.046272821724414825,
0.02859819494187832,
0.022938933223485947,
-0.0026566132437437773,
-0.005283751990646124,
-0.05386360362172127,
0.03559301793575287,
0.004133649170398712,
0.04590422287583351,
0.04727678745985031,
-0.030131656676530838,
0.01762314885854721,
0.004805352073162794,
-0.06996027380228043,
0.004655403085052967,
0.1405089944601059,
0.039019979536533356,
0.027783289551734924,
-0.07532131671905518,
-0.008117304183542728,
-0.05542362108826637,
-0.020349716767668724,
-0.020898763090372086,
0.050480280071496964,
0.020483631640672684,
-0.016472959890961647,
-0.08623744547367096,
0.06307189166545868,
-0.06406445801258087,
0.05877247825264931,
0.0232115276157856,
0.008089378476142883,
0.015671901404857635,
0.06919102370738983,
0.11062712967395782,
-0.03804488480091095,
-0.0035313409753143787,
-0.004766709636896849,
-0.1400676816701889,
-0.06956900656223297,
0.007715649902820587,
-0.01884770579636097,
-0.05740846320986748,
-0.09817809611558914,
-0.05284643545746803,
0.03347194939851761,
0.11808019131422043,
0.03999548405408859,
-0.023930015042424202,
0.0638277530670166,
0.012653965502977371,
0.10559015721082687,
0.033869512379169464,
-0.01808338798582554,
-0.0030762532260268927,
0.07187990099191666,
-0.08696919679641724,
0.09812720119953156,
0.026105156168341637,
0.00853706058114767,
-0.08504205197095871,
0.04973973333835602,
-0.015243715606629848,
0.005761139560490847,
0.009019974619150162,
-0.03371814638376236,
0.06087196618318558,
0.007789118215441704,
0.012555730529129505,
0.04088606312870979,
0.027382943779230118,
0.02448727935552597,
0.030569735914468765,
-0.025474172085523605,
0.04166337102651596,
-0.05673631280660629,
-0.003679159563034773,
0.0062212212942540646,
-0.012019864283502102,
0.02252088114619255,
-0.022865813225507736,
0.0031849341467022896,
0.07319522649049759,
-0.09785951673984528,
-0.08198154717683792,
-0.0775362178683281,
-0.044798608869314194,
-2.0273611478677833e-33,
0.0254738200455904,
0.002239190274849534,
0.008022447116672993,
-0.012922069057822227,
-0.024756869301199913,
-0.01241127960383892,
-0.019873620942234993,
-0.010353694669902325,
0.061873383820056915,
-0.06878136843442917,
-0.0327627919614315,
0.09320104867219925,
-0.04055524244904518,
0.007147710304707289,
-0.07960673421621323,
0.012348776683211327,
-0.018240351229906082,
-0.09990979731082916,
0.02596452087163925,
-0.003209583228453994,
0.04738679528236389,
0.09705468267202377,
-0.03492574021220207,
-0.03494425490498543,
0.009183308109641075,
-0.017619941383600235,
0.041614118963479996,
-0.010030650533735752,
0.008543080650269985,
-0.06948160380125046,
-0.0816795751452446,
0.02501014992594719,
0.022441234439611435,
0.04700583592057228,
0.04428207501769066,
-0.06059589609503746,
0.003674499923363328,
0.035563066601753235,
0.004948221612721682,
-0.00609290087595582,
-0.020456094294786453,
0.06278489530086517,
0.005491694901138544,
0.0003867591149173677,
0.006083018146455288,
0.08903912454843521,
-0.01314973458647728,
-0.058264635503292084,
0.06151106581091881,
0.027217350900173187,
-0.06784408539533615,
-0.062186211347579956,
-0.020331233739852905,
0.05895469710230827,
-0.031841032207012177,
-0.0029935583006590605,
-0.05114234611392021,
0.09733346849679947,
0.01065152045339346,
-0.07510043680667877,
0.07410402595996857,
-0.0037103919312357903,
0.07459189742803574,
-0.018802443519234657,
-0.10023187845945358,
-0.02471388503909111,
0.032126057893037796,
0.09239114820957184,
0.031278178095817566,
-0.01070753950625658,
-0.024847503751516342,
-0.007982902228832245,
0.00031509948894381523,
-0.08122856914997101,
-0.05440685898065567,
0.01260051317512989,
-0.04899341240525246,
0.007292220834642649,
0.006609042175114155,
-0.05080658197402954,
0.024442549794912338,
0.03767228499054909,
0.025206515565514565,
0.05733468011021614,
0.046910788863897324,
0.0467694066464901,
0.02385767735540867,
0.05080108717083931,
-0.021644791588187218,
-0.04001053795218468,
-0.023297976702451706,
-0.04039542376995087,
0.04673922434449196,
-0.019422980025410652,
0.01665634848177433,
-5.314122830668566e-8,
-0.07067167013883591,
0.01731550693511963,
-0.039335619658231735,
0.0003048011567443609,
0.014370881021022797,
-0.030733773484826088,
0.014596784487366676,
0.011414592154324055,
0.07467808574438095,
-0.041222456842660904,
-0.015645602717995644,
0.003461914835497737,
0.0026299969758838415,
0.006154055707156658,
0.015911750495433807,
0.024646585807204247,
0.017341487109661102,
-0.025904184207320213,
0.02268269844353199,
0.06437445431947708,
-0.016416599974036217,
-0.006448386702686548,
0.017668163403868675,
-0.03114641271531582,
-0.0028150288853794336,
0.008455481380224228,
-0.0013309436617419124,
-0.0532817542552948,
0.08020099997520447,
-0.009817706421017647,
-0.08509746193885803,
-0.0619814470410347,
0.10139485448598862,
0.04125107452273369,
0.10876874625682831,
-0.01587832160294056,
-0.059293586760759354,
-0.05481433495879173,
0.11060824990272522,
-0.004244646057486534,
0.030067704617977142,
-0.07112302631139755,
0.08957632631063461,
0.009968256577849388,
-0.0617942251265049,
0.07061367481946945,
0.026171503588557243,
-0.0603426918387413,
-0.002286379924044013,
0.04170989990234375,
0.061215098947286606,
0.04907501861453056,
-0.0019722431898117065,
-0.11403533071279526,
-0.037404660135507584,
0.026471342891454697,
0.035835135728120804,
-0.014577502384781837,
0.08550170063972473,
0.04436378926038742,
0.011808706447482109,
-0.12074706703424454,
-0.07421638816595078,
-0.005213845055550337
] | null | null | null | null | null | null | null |
[
-0.0028275325894355774,
-0.011250639334321022,
0.031733375042676926,
-0.011201993562281132,
0.025650208815932274,
-0.1401885747909546,
0.13570447266101837,
0.04827719181776047,
-0.011051767505705357,
-0.0012248518178239465,
0.02747737057507038,
-0.03997671604156494,
0.10153111815452576,
0.023373616859316826,
-0.0350460410118103,
0.03270917758345604,
0.036080192774534225,
-0.020831437781453133,
0.007278696168214083,
0.028318878263235092,
0.042354922741651535,
-0.06364203989505768,
0.03435618430376053,
-0.07836150377988815,
-0.035834331065416336,
0.014768147841095924,
0.03303615748882294,
-0.10438983142375946,
-0.03611195832490921,
0.023292791098356247,
0.0006046098424121737,
0.003501124680042267,
0.03369107097387314,
0.017746372148394585,
0.004620844032615423,
0.0008716132724657655,
0.0622989721596241,
-0.012281320057809353,
-0.0684448704123497,
-0.03207105025649071,
-0.01273272279649973,
-0.004224823787808418,
0.048565443605184555,
-0.0576600655913353,
0.09406480938196182,
-0.010844361037015915,
0.04959138110280037,
-0.12216095626354218,
-0.07086094468832016,
0.02417169325053692,
0.11726745218038559,
0.005445617716759443,
0.0009588669054210186,
-0.02454644814133644,
0.0018571617547422647,
0.0038137745577841997,
-0.03565391153097153,
-0.013518907129764557,
-0.07202377170324326,
0.021680042147636414,
-0.016174426302313805,
0.009987386874854565,
0.0004531213780865073,
0.0440332368016243,
0.0496538020670414,
-0.03456113860011101,
0.029731420800089836,
-0.03655325993895531,
-0.05906026437878609,
-0.01956493780016899,
-0.04049399495124817,
0.036078136414289474,
0.056880220770835876,
-0.09385703504085541,
-0.057270538061857224,
0.02763788029551506,
0.04644141346216202,
0.029106315225362778,
0.07004417479038239,
-0.07401493936777115,
-0.03035885840654373,
0.03981059044599533,
-0.0006673689931631088,
0.053821004927158356,
-0.021830923855304718,
0.0017983956495299935,
-0.023437466472387314,
0.09877640008926392,
0.007746283896267414,
-0.01134520210325718,
-0.0311589315533638,
0.051164060831069946,
-0.07696253806352615,
0.08152492344379425,
0.051981959491968155,
0.0067958831787109375,
0.0868467465043068,
0.016645455732941628,
-0.10172133892774582,
0.004965050145983696,
0.01857752725481987,
0.019079936668276787,
-0.05922811105847359,
0.1003703847527504,
-0.07097523659467697,
-0.08791405707597733,
-0.0069733187556266785,
0.06234971433877945,
-0.14851638674736023,
0.031115375459194183,
0.04743194207549095,
-0.0071477764286100864,
0.008069721050560474,
-0.0339229591190815,
0.03425902873277664,
-0.03741074725985527,
-0.012704778462648392,
-0.03711865469813347,
-0.0014684217749163508,
-0.12004876136779785,
-0.11032858490943909,
-0.04719924181699753,
-0.07390228658914566,
0.011760581284761429,
0.007941902615129948,
0.03654993698000908,
0.04484989121556282,
1.88394257187281e-33,
-0.008196551352739334,
0.09850430488586426,
-0.060624346137046814,
-0.08543972671031952,
0.005660473369061947,
0.04089238867163658,
0.043687786906957626,
0.08240050822496414,
-0.046272821724414825,
0.02859819494187832,
0.022938933223485947,
-0.0026566132437437773,
-0.005283751990646124,
-0.05386360362172127,
0.03559301793575287,
0.004133649170398712,
0.04590422287583351,
0.04727678745985031,
-0.030131656676530838,
0.01762314885854721,
0.004805352073162794,
-0.06996027380228043,
0.004655403085052967,
0.1405089944601059,
0.039019979536533356,
0.027783289551734924,
-0.07532131671905518,
-0.008117304183542728,
-0.05542362108826637,
-0.020349716767668724,
-0.020898763090372086,
0.050480280071496964,
0.020483631640672684,
-0.016472959890961647,
-0.08623744547367096,
0.06307189166545868,
-0.06406445801258087,
0.05877247825264931,
0.0232115276157856,
0.008089378476142883,
0.015671901404857635,
0.06919102370738983,
0.11062712967395782,
-0.03804488480091095,
-0.0035313409753143787,
-0.004766709636896849,
-0.1400676816701889,
-0.06956900656223297,
0.007715649902820587,
-0.01884770579636097,
-0.05740846320986748,
-0.09817809611558914,
-0.05284643545746803,
0.03347194939851761,
0.11808019131422043,
0.03999548405408859,
-0.023930015042424202,
0.0638277530670166,
0.012653965502977371,
0.10559015721082687,
0.033869512379169464,
-0.01808338798582554,
-0.0030762532260268927,
0.07187990099191666,
-0.08696919679641724,
0.09812720119953156,
0.026105156168341637,
0.00853706058114767,
-0.08504205197095871,
0.04973973333835602,
-0.015243715606629848,
0.005761139560490847,
0.009019974619150162,
-0.03371814638376236,
0.06087196618318558,
0.007789118215441704,
0.012555730529129505,
0.04088606312870979,
0.027382943779230118,
0.02448727935552597,
0.030569735914468765,
-0.025474172085523605,
0.04166337102651596,
-0.05673631280660629,
-0.003679159563034773,
0.0062212212942540646,
-0.012019864283502102,
0.02252088114619255,
-0.022865813225507736,
0.0031849341467022896,
0.07319522649049759,
-0.09785951673984528,
-0.08198154717683792,
-0.0775362178683281,
-0.044798608869314194,
-2.0273611478677833e-33,
0.0254738200455904,
0.002239190274849534,
0.008022447116672993,
-0.012922069057822227,
-0.024756869301199913,
-0.01241127960383892,
-0.019873620942234993,
-0.010353694669902325,
0.061873383820056915,
-0.06878136843442917,
-0.0327627919614315,
0.09320104867219925,
-0.04055524244904518,
0.007147710304707289,
-0.07960673421621323,
0.012348776683211327,
-0.018240351229906082,
-0.09990979731082916,
0.02596452087163925,
-0.003209583228453994,
0.04738679528236389,
0.09705468267202377,
-0.03492574021220207,
-0.03494425490498543,
0.009183308109641075,
-0.017619941383600235,
0.041614118963479996,
-0.010030650533735752,
0.008543080650269985,
-0.06948160380125046,
-0.0816795751452446,
0.02501014992594719,
0.022441234439611435,
0.04700583592057228,
0.04428207501769066,
-0.06059589609503746,
0.003674499923363328,
0.035563066601753235,
0.004948221612721682,
-0.00609290087595582,
-0.020456094294786453,
0.06278489530086517,
0.005491694901138544,
0.0003867591149173677,
0.006083018146455288,
0.08903912454843521,
-0.01314973458647728,
-0.058264635503292084,
0.06151106581091881,
0.027217350900173187,
-0.06784408539533615,
-0.062186211347579956,
-0.020331233739852905,
0.05895469710230827,
-0.031841032207012177,
-0.0029935583006590605,
-0.05114234611392021,
0.09733346849679947,
0.01065152045339346,
-0.07510043680667877,
0.07410402595996857,
-0.0037103919312357903,
0.07459189742803574,
-0.018802443519234657,
-0.10023187845945358,
-0.02471388503909111,
0.032126057893037796,
0.09239114820957184,
0.031278178095817566,
-0.01070753950625658,
-0.024847503751516342,
-0.007982902228832245,
0.00031509948894381523,
-0.08122856914997101,
-0.05440685898065567,
0.01260051317512989,
-0.04899341240525246,
0.007292220834642649,
0.006609042175114155,
-0.05080658197402954,
0.024442549794912338,
0.03767228499054909,
0.025206515565514565,
0.05733468011021614,
0.046910788863897324,
0.0467694066464901,
0.02385767735540867,
0.05080108717083931,
-0.021644791588187218,
-0.04001053795218468,
-0.023297976702451706,
-0.04039542376995087,
0.04673922434449196,
-0.019422980025410652,
0.01665634848177433,
-5.314122830668566e-8,
-0.07067167013883591,
0.01731550693511963,
-0.039335619658231735,
0.0003048011567443609,
0.014370881021022797,
-0.030733773484826088,
0.014596784487366676,
0.011414592154324055,
0.07467808574438095,
-0.041222456842660904,
-0.015645602717995644,
0.003461914835497737,
0.0026299969758838415,
0.006154055707156658,
0.015911750495433807,
0.024646585807204247,
0.017341487109661102,
-0.025904184207320213,
0.02268269844353199,
0.06437445431947708,
-0.016416599974036217,
-0.006448386702686548,
0.017668163403868675,
-0.03114641271531582,
-0.0028150288853794336,
0.008455481380224228,
-0.0013309436617419124,
-0.0532817542552948,
0.08020099997520447,
-0.009817706421017647,
-0.08509746193885803,
-0.0619814470410347,
0.10139485448598862,
0.04125107452273369,
0.10876874625682831,
-0.01587832160294056,
-0.059293586760759354,
-0.05481433495879173,
0.11060824990272522,
-0.004244646057486534,
0.030067704617977142,
-0.07112302631139755,
0.08957632631063461,
0.009968256577849388,
-0.0617942251265049,
0.07061367481946945,
0.026171503588557243,
-0.0603426918387413,
-0.002286379924044013,
0.04170989990234375,
0.061215098947286606,
0.04907501861453056,
-0.0019722431898117065,
-0.11403533071279526,
-0.037404660135507584,
0.026471342891454697,
0.035835135728120804,
-0.014577502384781837,
0.08550170063972473,
0.04436378926038742,
0.011808706447482109,
-0.12074706703424454,
-0.07421638816595078,
-0.005213845055550337
] |
1402.3132
|
Martin Leder
|
Martin Leder, Christopher Grossert and Martin Weitz
|
Veselago lensing with ultracold atoms in an optical lattice
| null |
Nature Communications 5, 3327 (2014)
|
10.1038/ncomms4327
| null |
physics.optics physics.atom-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Veselago pointed out that electromagnetic wave theory allows for materials
with a negative index of refraction, in which most known optical phenomena
would be reversed. A slab of such a material can focus light by negative
refraction, an imaging technique strikingly different from conventional
positive refractive index optics, where curved surfaces bend the rays to form
an image of an object. Here we demonstrate Veselago lensing for matter waves,
using ultracold atoms in an optical lattice. A relativistic, i.e. photon-like,
dispersion relation for rubidium atoms is realized with a bichromatic optical
lattice potential. We rely on a Raman $\pi$-pulse technique to transfer atoms
between two different branches of the dispersion relation, resulting in a
focusing completely analogous to the effect described by Veselago for light
waves. Future prospects of the demonstrated effects include novel sub-de
Broglie wave imaging applications.
|
[
{
"created": "Thu, 13 Feb 2014 13:50:45 GMT",
"version": "v1"
}
] |
2014-02-17
|
[
[
"Leder",
"Martin",
""
],
[
"Grossert",
"Christopher",
""
],
[
"Weitz",
"Martin",
""
]
] |
[
-0.03411214053630829,
-0.04205119609832764,
-0.012708975002169609,
-0.000054819047363707796,
-0.05390516296029091,
-0.041213683784008026,
0.012361537665128708,
0.05639610439538956,
-0.03904614597558975,
-0.026784613728523254,
0.013876020908355713,
-0.010268457233905792,
-0.08237946033477783,
0.008263269439339638,
0.024170832708477974,
-0.006310033146291971,
0.11601119488477707,
0.015438715927302837,
0.025705942884087563,
0.06918258965015411,
0.06455926597118378,
-0.1491466909646988,
-0.0017521780682727695,
-0.09840270131826401,
0.015424161218106747,
0.04492415487766266,
0.05703575536608696,
0.020164748653769493,
0.042580168694257736,
0.004357328172773123,
0.08944618701934814,
0.021556498482823372,
-0.07823903858661652,
0.04082776606082916,
-0.0260623749345541,
-0.032337598502635956,
0.01335810124874115,
0.007753558456897736,
0.012332546524703503,
-0.05640137195587158,
0.020892830565571785,
0.047561418265104294,
-0.07869111001491547,
0.023191818967461586,
0.021681716665625572,
-0.09083069860935211,
0.09293388575315475,
-0.012248950079083443,
0.007078617345541716,
-0.041683416813611984,
-0.03837599977850914,
-0.0024644851218909025,
-0.03353514522314072,
-0.01684027910232544,
0.027537425979971886,
0.1208772286772728,
-0.0055211628787219524,
-0.04410674795508385,
0.05433802679181099,
-0.0218573659658432,
-0.018258431926369667,
-0.02132154069840908,
0.006562037859112024,
-0.028124826028943062,
-0.009858661331236362,
0.08421020209789276,
-0.08262043446302414,
0.012320449575781822,
0.024051401764154434,
0.05906060338020325,
0.06111828237771988,
0.030976077541708946,
0.003977808635681868,
0.025345318019390106,
-0.005112397018820047,
0.020288316532969475,
0.03594543784856796,
0.05501130223274231,
-0.006707498803734779,
0.024321017786860466,
-0.00905115157365799,
-0.06449030339717865,
-0.051072221249341965,
0.06992404907941818,
-0.04165688902139664,
0.04657449945807457,
-0.014731870032846928,
-0.026914646849036217,
-0.0642872005701065,
-0.028966424986720085,
-0.004817774053663015,
-0.04333321377635002,
-0.003422080771997571,
-0.07648498564958572,
0.003913110587745905,
-0.03345591202378273,
0.03677224740386009,
0.006821356248110533,
-0.027953270822763443,
0.03007657453417778,
0.1548270434141159,
0.04185159131884575,
-0.0453406386077404,
0.03762040659785271,
-0.08198840171098709,
-0.07095131278038025,
0.04785285145044327,
0.06699257344007492,
-0.06083456054329872,
-0.00014689596719108522,
0.02464439906179905,
0.03394601494073868,
0.04292022064328194,
-0.05181451886892319,
-0.004550236742943525,
-0.049100060015916824,
0.04477933049201965,
0.06437098979949951,
-0.04005443677306175,
-0.026369327679276466,
-0.03637946397066116,
0.0715230330824852,
-0.03706226497888565,
0.02969026193022728,
0.0940503478050232,
0.02711983025074005,
-0.051549531519412994,
1.4747697942473686e-33,
0.11838770657777786,
0.07603760063648224,
0.011655550450086594,
0.02516845613718033,
0.03984522446990013,
-0.042031243443489075,
-0.0037009059451520443,
-0.003760027699172497,
-0.05500905215740204,
0.018210045993328094,
-0.028834199532866478,
0.0721621960401535,
0.02414845861494541,
-0.043461937457323074,
0.03773258998990059,
-0.018477749079465866,
-0.018053514882922173,
0.051088057458400726,
-0.004972492810338736,
0.022553082555532455,
-0.0631272941827774,
-0.02179190143942833,
0.038144662976264954,
-0.03194992244243622,
-0.03995845466852188,
0.04885732755064964,
0.007737745530903339,
-0.00047103670658543706,
0.08788109570741653,
-0.0012346713338047266,
-0.010373775847256184,
0.16983607411384583,
-0.005520394071936607,
0.006977947894483805,
0.052111607044935226,
-0.005609932821244001,
-0.05699603259563446,
0.009330547414720058,
-0.0038909928407520056,
-0.017061298713088036,
0.0356147363781929,
0.033466316759586334,
0.026079624891281128,
0.009311586618423462,
0.09594602882862091,
-0.09367258846759796,
-0.008634863421320915,
0.04114767163991928,
0.020771730691194534,
0.012884247116744518,
0.06316468119621277,
-0.11879086494445801,
-0.04269346222281456,
-0.006811600644141436,
-0.02458195947110653,
-0.006912099663168192,
0.0005061500705778599,
0.05528167635202408,
0.008728758431971073,
-0.07412099093198776,
0.05924949422478676,
-0.07664699107408524,
0.014029206708073616,
0.07911881059408188,
-0.03929457440972328,
-0.007838674820959568,
-0.09616352617740631,
0.00916972104460001,
-0.015657352283596992,
0.010711017064750195,
-0.011521671898663044,
0.08879214525222778,
0.007319656666368246,
-0.045143548399209976,
0.07181303948163986,
-0.0035079196095466614,
0.0009052075911313295,
-0.048094455152750015,
0.05065041035413742,
0.05341372638940811,
-0.03286764398217201,
-0.05019095540046692,
-0.023645106703042984,
-0.16456295549869537,
-0.03222387284040451,
0.05570249259471893,
-0.0684906616806984,
-0.0872386172413826,
-0.011023612692952156,
-0.11144713312387466,
-0.01396743394434452,
-0.048256535083055496,
-0.022748146206140518,
-0.06156483292579651,
-0.09543134272098541,
-1.7345796678825222e-33,
-0.05963979288935661,
-0.07951158285140991,
-0.04793751239776611,
0.06525933742523193,
0.07477036863565445,
0.02520977519452572,
0.0336604081094265,
0.027533065527677536,
0.04188914597034454,
-0.01882149837911129,
0.0730995461344719,
-0.028006866574287415,
0.022615542635321617,
-0.06626947224140167,
-0.06153910979628563,
0.008773582056164742,
-0.009361527860164642,
-0.09388361871242523,
0.020495355129241943,
-0.09383955597877502,
-0.08423227071762085,
-0.0050992779433727264,
0.10644254833459854,
0.04356886073946953,
0.03377575799822807,
0.084352508187294,
0.10418110340833664,
-0.045400917530059814,
-0.005364277400076389,
-0.027793245390057564,
0.0714651346206665,
0.03227265551686287,
0.04268927499651909,
0.00700919795781374,
-0.0551098957657814,
0.05514189600944519,
0.012277900241315365,
-0.06368959695100784,
0.005990155972540379,
-0.015874991193413734,
-0.022826967760920525,
0.04593620449304581,
0.0844556912779808,
-0.01848069578409195,
-0.04553482308983803,
0.005722526926547289,
-0.04053677245974541,
-0.001306036370806396,
-0.00012148683163104579,
-0.04963552951812744,
-0.05958310514688492,
-0.06982684135437012,
0.028244558721780777,
0.020539259538054466,
0.025268899276852608,
0.0030088697094470263,
-0.05804247781634331,
0.022050732746720314,
0.06742353737354279,
0.09909238666296005,
0.0018403461435809731,
0.03674222156405449,
0.02347308024764061,
-0.004005288239568472,
-0.02786421589553356,
-0.0028560240752995014,
-0.011962848715484142,
0.027089020237326622,
-0.008329544216394424,
-0.042696788907051086,
0.03900991752743721,
0.011862359941005707,
-0.038135748356580734,
0.033951837569475174,
0.08213473856449127,
-0.01914243958890438,
0.07686403393745422,
0.09143160283565521,
-0.03786842152476311,
0.029452623799443245,
-0.0500633679330349,
0.04378676787018776,
-0.04534931480884552,
0.015029150061309338,
0.0021103413309901953,
-0.03599812090396881,
-0.07433529943227768,
0.038581810891628265,
-0.023448722437024117,
0.026888171210885048,
-0.014504297636449337,
-0.022606857120990753,
0.07182171195745468,
-0.033255819231271744,
0.13475753366947174,
-4.1146126505964276e-8,
0.08458442986011505,
0.05811425298452377,
-0.024441329762339592,
-0.007434716448187828,
-0.04027387872338295,
-0.0504792146384716,
-0.005113914143294096,
0.00917983427643776,
-0.09274367988109589,
-0.07768511772155762,
-0.009864904917776585,
-0.06940241903066635,
-0.1143827885389328,
0.002669938839972019,
0.05124388635158539,
0.11878528445959091,
0.04126797989010811,
-0.0650349035859108,
0.004704151302576065,
-0.004397067241370678,
-0.018610768020153046,
-0.031286440789699554,
0.07745956629514694,
0.04704377055168152,
-0.018986020237207413,
0.08456048369407654,
-0.08861488103866577,
-0.042683351784944534,
0.018076397478580475,
0.032714784145355225,
-0.015027117915451527,
-0.009444964118301868,
0.07309651374816895,
0.022819029167294502,
-0.07257479429244995,
-0.05107857659459114,
-0.08911123126745224,
0.013528687879443169,
-0.053343307226896286,
0.01810564287006855,
0.06451499462127686,
0.019762052223086357,
-0.0012838523834943771,
0.015350972302258015,
-0.06457047164440155,
0.015244198963046074,
0.04361220821738243,
0.058110687881708145,
-0.013796349987387657,
0.08046372979879379,
-0.020511331036686897,
0.019078951328992844,
0.014194246381521225,
-0.08150442689657211,
-0.06554435193538666,
0.02732263132929802,
-0.04800859093666077,
-0.036043163388967514,
-0.009399209171533585,
0.011833165772259235,
0.04180416092276573,
-0.01203880738466978,
-0.06270528584718704,
0.07789970934391022
] | null | null | null | null | null | null | null |
[
-0.03411214053630829,
-0.04205119609832764,
-0.012708975002169609,
-0.000054819047363707796,
-0.05390516296029091,
-0.041213683784008026,
0.012361537665128708,
0.05639610439538956,
-0.03904614597558975,
-0.026784613728523254,
0.013876020908355713,
-0.010268457233905792,
-0.08237946033477783,
0.008263269439339638,
0.024170832708477974,
-0.006310033146291971,
0.11601119488477707,
0.015438715927302837,
0.025705942884087563,
0.06918258965015411,
0.06455926597118378,
-0.1491466909646988,
-0.0017521780682727695,
-0.09840270131826401,
0.015424161218106747,
0.04492415487766266,
0.05703575536608696,
0.020164748653769493,
0.042580168694257736,
0.004357328172773123,
0.08944618701934814,
0.021556498482823372,
-0.07823903858661652,
0.04082776606082916,
-0.0260623749345541,
-0.032337598502635956,
0.01335810124874115,
0.007753558456897736,
0.012332546524703503,
-0.05640137195587158,
0.020892830565571785,
0.047561418265104294,
-0.07869111001491547,
0.023191818967461586,
0.021681716665625572,
-0.09083069860935211,
0.09293388575315475,
-0.012248950079083443,
0.007078617345541716,
-0.041683416813611984,
-0.03837599977850914,
-0.0024644851218909025,
-0.03353514522314072,
-0.01684027910232544,
0.027537425979971886,
0.1208772286772728,
-0.0055211628787219524,
-0.04410674795508385,
0.05433802679181099,
-0.0218573659658432,
-0.018258431926369667,
-0.02132154069840908,
0.006562037859112024,
-0.028124826028943062,
-0.009858661331236362,
0.08421020209789276,
-0.08262043446302414,
0.012320449575781822,
0.024051401764154434,
0.05906060338020325,
0.06111828237771988,
0.030976077541708946,
0.003977808635681868,
0.025345318019390106,
-0.005112397018820047,
0.020288316532969475,
0.03594543784856796,
0.05501130223274231,
-0.006707498803734779,
0.024321017786860466,
-0.00905115157365799,
-0.06449030339717865,
-0.051072221249341965,
0.06992404907941818,
-0.04165688902139664,
0.04657449945807457,
-0.014731870032846928,
-0.026914646849036217,
-0.0642872005701065,
-0.028966424986720085,
-0.004817774053663015,
-0.04333321377635002,
-0.003422080771997571,
-0.07648498564958572,
0.003913110587745905,
-0.03345591202378273,
0.03677224740386009,
0.006821356248110533,
-0.027953270822763443,
0.03007657453417778,
0.1548270434141159,
0.04185159131884575,
-0.0453406386077404,
0.03762040659785271,
-0.08198840171098709,
-0.07095131278038025,
0.04785285145044327,
0.06699257344007492,
-0.06083456054329872,
-0.00014689596719108522,
0.02464439906179905,
0.03394601494073868,
0.04292022064328194,
-0.05181451886892319,
-0.004550236742943525,
-0.049100060015916824,
0.04477933049201965,
0.06437098979949951,
-0.04005443677306175,
-0.026369327679276466,
-0.03637946397066116,
0.0715230330824852,
-0.03706226497888565,
0.02969026193022728,
0.0940503478050232,
0.02711983025074005,
-0.051549531519412994,
1.4747697942473686e-33,
0.11838770657777786,
0.07603760063648224,
0.011655550450086594,
0.02516845613718033,
0.03984522446990013,
-0.042031243443489075,
-0.0037009059451520443,
-0.003760027699172497,
-0.05500905215740204,
0.018210045993328094,
-0.028834199532866478,
0.0721621960401535,
0.02414845861494541,
-0.043461937457323074,
0.03773258998990059,
-0.018477749079465866,
-0.018053514882922173,
0.051088057458400726,
-0.004972492810338736,
0.022553082555532455,
-0.0631272941827774,
-0.02179190143942833,
0.038144662976264954,
-0.03194992244243622,
-0.03995845466852188,
0.04885732755064964,
0.007737745530903339,
-0.00047103670658543706,
0.08788109570741653,
-0.0012346713338047266,
-0.010373775847256184,
0.16983607411384583,
-0.005520394071936607,
0.006977947894483805,
0.052111607044935226,
-0.005609932821244001,
-0.05699603259563446,
0.009330547414720058,
-0.0038909928407520056,
-0.017061298713088036,
0.0356147363781929,
0.033466316759586334,
0.026079624891281128,
0.009311586618423462,
0.09594602882862091,
-0.09367258846759796,
-0.008634863421320915,
0.04114767163991928,
0.020771730691194534,
0.012884247116744518,
0.06316468119621277,
-0.11879086494445801,
-0.04269346222281456,
-0.006811600644141436,
-0.02458195947110653,
-0.006912099663168192,
0.0005061500705778599,
0.05528167635202408,
0.008728758431971073,
-0.07412099093198776,
0.05924949422478676,
-0.07664699107408524,
0.014029206708073616,
0.07911881059408188,
-0.03929457440972328,
-0.007838674820959568,
-0.09616352617740631,
0.00916972104460001,
-0.015657352283596992,
0.010711017064750195,
-0.011521671898663044,
0.08879214525222778,
0.007319656666368246,
-0.045143548399209976,
0.07181303948163986,
-0.0035079196095466614,
0.0009052075911313295,
-0.048094455152750015,
0.05065041035413742,
0.05341372638940811,
-0.03286764398217201,
-0.05019095540046692,
-0.023645106703042984,
-0.16456295549869537,
-0.03222387284040451,
0.05570249259471893,
-0.0684906616806984,
-0.0872386172413826,
-0.011023612692952156,
-0.11144713312387466,
-0.01396743394434452,
-0.048256535083055496,
-0.022748146206140518,
-0.06156483292579651,
-0.09543134272098541,
-1.7345796678825222e-33,
-0.05963979288935661,
-0.07951158285140991,
-0.04793751239776611,
0.06525933742523193,
0.07477036863565445,
0.02520977519452572,
0.0336604081094265,
0.027533065527677536,
0.04188914597034454,
-0.01882149837911129,
0.0730995461344719,
-0.028006866574287415,
0.022615542635321617,
-0.06626947224140167,
-0.06153910979628563,
0.008773582056164742,
-0.009361527860164642,
-0.09388361871242523,
0.020495355129241943,
-0.09383955597877502,
-0.08423227071762085,
-0.0050992779433727264,
0.10644254833459854,
0.04356886073946953,
0.03377575799822807,
0.084352508187294,
0.10418110340833664,
-0.045400917530059814,
-0.005364277400076389,
-0.027793245390057564,
0.0714651346206665,
0.03227265551686287,
0.04268927499651909,
0.00700919795781374,
-0.0551098957657814,
0.05514189600944519,
0.012277900241315365,
-0.06368959695100784,
0.005990155972540379,
-0.015874991193413734,
-0.022826967760920525,
0.04593620449304581,
0.0844556912779808,
-0.01848069578409195,
-0.04553482308983803,
0.005722526926547289,
-0.04053677245974541,
-0.001306036370806396,
-0.00012148683163104579,
-0.04963552951812744,
-0.05958310514688492,
-0.06982684135437012,
0.028244558721780777,
0.020539259538054466,
0.025268899276852608,
0.0030088697094470263,
-0.05804247781634331,
0.022050732746720314,
0.06742353737354279,
0.09909238666296005,
0.0018403461435809731,
0.03674222156405449,
0.02347308024764061,
-0.004005288239568472,
-0.02786421589553356,
-0.0028560240752995014,
-0.011962848715484142,
0.027089020237326622,
-0.008329544216394424,
-0.042696788907051086,
0.03900991752743721,
0.011862359941005707,
-0.038135748356580734,
0.033951837569475174,
0.08213473856449127,
-0.01914243958890438,
0.07686403393745422,
0.09143160283565521,
-0.03786842152476311,
0.029452623799443245,
-0.0500633679330349,
0.04378676787018776,
-0.04534931480884552,
0.015029150061309338,
0.0021103413309901953,
-0.03599812090396881,
-0.07433529943227768,
0.038581810891628265,
-0.023448722437024117,
0.026888171210885048,
-0.014504297636449337,
-0.022606857120990753,
0.07182171195745468,
-0.033255819231271744,
0.13475753366947174,
-4.1146126505964276e-8,
0.08458442986011505,
0.05811425298452377,
-0.024441329762339592,
-0.007434716448187828,
-0.04027387872338295,
-0.0504792146384716,
-0.005113914143294096,
0.00917983427643776,
-0.09274367988109589,
-0.07768511772155762,
-0.009864904917776585,
-0.06940241903066635,
-0.1143827885389328,
0.002669938839972019,
0.05124388635158539,
0.11878528445959091,
0.04126797989010811,
-0.0650349035859108,
0.004704151302576065,
-0.004397067241370678,
-0.018610768020153046,
-0.031286440789699554,
0.07745956629514694,
0.04704377055168152,
-0.018986020237207413,
0.08456048369407654,
-0.08861488103866577,
-0.042683351784944534,
0.018076397478580475,
0.032714784145355225,
-0.015027117915451527,
-0.009444964118301868,
0.07309651374816895,
0.022819029167294502,
-0.07257479429244995,
-0.05107857659459114,
-0.08911123126745224,
0.013528687879443169,
-0.053343307226896286,
0.01810564287006855,
0.06451499462127686,
0.019762052223086357,
-0.0012838523834943771,
0.015350972302258015,
-0.06457047164440155,
0.015244198963046074,
0.04361220821738243,
0.058110687881708145,
-0.013796349987387657,
0.08046372979879379,
-0.020511331036686897,
0.019078951328992844,
0.014194246381521225,
-0.08150442689657211,
-0.06554435193538666,
0.02732263132929802,
-0.04800859093666077,
-0.036043163388967514,
-0.009399209171533585,
0.011833165772259235,
0.04180416092276573,
-0.01203880738466978,
-0.06270528584718704,
0.07789970934391022
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.